From 56451970a84da9246a6aae895c8341d04ec66cd8 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Wed, 4 Sep 2024 21:29:41 +0000 Subject: [PATCH] build based on 44f090d --- dev/.documenter-siteinfo.json | 1 + dev/assets/custom.css | 3 + dev/assets/documenter.js | 927 +- dev/assets/themes/catppuccin-frappe.css | 1 + dev/assets/themes/catppuccin-latte.css | 1 + dev/assets/themes/catppuccin-macchiato.css | 1 + dev/assets/themes/catppuccin-mocha.css | 1 + dev/assets/themes/documenter-dark.css | 7699 +--------------- dev/assets/themes/documenter-light.css | 7733 +--------------- dev/assets/themeswap.js | 82 +- dev/assets/warner.js | 87 +- dev/examples/1-mirt/index.html | 2 - dev/generated/examples/1-mirt.ipynb | 49 + dev/generated/examples/1-mirt/index.html | 2 + dev/generated/examples/2-nufft.ipynb | 253 + dev/generated/examples/2-nufft/345333c1.svg | 132 + dev/generated/examples/2-nufft/35b3d4da.svg | 41 + dev/generated/examples/2-nufft/c064b287.svg | 44 + dev/generated/examples/2-nufft/e3e63e9a.svg | 52 + dev/generated/examples/2-nufft/index.html | 57 + dev/generated/examples/3-ls-mm.ipynb | 633 ++ dev/generated/examples/3-ls-mm/13979134.svg | 48 + dev/generated/examples/3-ls-mm/9cffd8bd.svg | 41 + dev/generated/examples/3-ls-mm/c54ee071.svg | 149 + dev/generated/examples/3-ls-mm/index.html | 258 + dev/index.html | 2 +- dev/methods/index.html | 24 + dev/objects.inv | Bin 0 -> 2803 bytes dev/reference/index.html | 25 - dev/search/index.html | 2 - dev/search_index.js | 2 +- dev/toc/index.html | 2 - index.html | 2 +- previews/PR129/assets/custom.css | 3 + previews/PR129/assets/documenter.js | 331 + previews/PR129/assets/logo.png | Bin 0 -> 24606 bytes {dev => previews/PR129}/assets/search.js | 0 .../PR129/assets/themes/documenter-dark.css | 7702 ++++++++++++++++ .../PR129/assets/themes/documenter-light.css | 7738 +++++++++++++++++ previews/PR129/assets/themeswap.js | 66 + previews/PR129/assets/warner.js | 49 + 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v0.18.1/generated/examples/1-mirt.ipynb | 49 + v0.18.1/generated/examples/1-mirt/index.html | 2 + v0.18.1/generated/examples/2-nufft.ipynb | 253 + .../generated/examples/2-nufft/2a1f14e6.svg | 44 + .../generated/examples/2-nufft/2ebe591e.svg | 126 + .../generated/examples/2-nufft/3a6aa98d.svg | 52 + .../generated/examples/2-nufft/7b6b2208.svg | 41 + v0.18.1/generated/examples/2-nufft/index.html | 57 + v0.18.1/generated/examples/3-ls-mm.ipynb | 633 ++ .../generated/examples/3-ls-mm/1f83f97b.svg | 149 + .../generated/examples/3-ls-mm/41270d18.svg | 41 + .../generated/examples/3-ls-mm/b105b23d.svg | 48 + v0.18.1/generated/examples/3-ls-mm/index.html | 258 + v0.18.1/index.html | 2 + v0.18.1/methods/index.html | 24 + v0.18.1/objects.inv | Bin 0 -> 2803 bytes v0.18.1/search_index.js | 3 + v0.18.1/siteinfo.js | 1 + versions.js | 5 +- 107 files changed, 26378 insertions(+), 15635 deletions(-) create mode 100644 dev/.documenter-siteinfo.json create mode 100644 dev/assets/custom.css create mode 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v0.18.1/generated/examples/3-ls-mm/1f83f97b.svg create mode 100644 v0.18.1/generated/examples/3-ls-mm/41270d18.svg create mode 100644 v0.18.1/generated/examples/3-ls-mm/b105b23d.svg create mode 100644 v0.18.1/generated/examples/3-ls-mm/index.html create mode 100644 v0.18.1/index.html create mode 100644 v0.18.1/methods/index.html create mode 100644 v0.18.1/objects.inv create mode 100644 v0.18.1/search_index.js create mode 100644 v0.18.1/siteinfo.js diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json new file mode 100644 index 00000000..cd7c6f6f --- /dev/null +++ b/dev/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.10.5","generation_timestamp":"2024-09-04T21:29:37","documenter_version":"1.7.0"}} \ No newline at end of file diff --git a/dev/assets/custom.css b/dev/assets/custom.css new file mode 100644 index 00000000..31e65493 --- /dev/null +++ b/dev/assets/custom.css @@ -0,0 +1,3 @@ +.docs-sourcelink { + opacity:1 !important; +} diff --git a/dev/assets/documenter.js b/dev/assets/documenter.js index 6adfbbbf..82252a11 100644 --- a/dev/assets/documenter.js +++ b/dev/assets/documenter.js @@ -1,15 +1,15 @@ // Generated by Documenter.jl requirejs.config({ paths: { - 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia.min', + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia.min', 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', - 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min', - 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/contrib/auto-render.min', - 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.13.2/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.0/jquery.min', 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', - 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min', - 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/highlight.min', - 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia-repl.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia-repl.min', }, shim: { "highlight-julia": { @@ -70,13 +70,96 @@ $(document).ready(function() { hljs.highlightAll(); }) +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let timer = 0; +var isExpanded = true; + +$(document).on( + "click", + ".docstring .docstring-article-toggle-button", + function () { + let articleToggleTitle = "Expand docstring"; + const parent = $(this).parent(); + + debounce(() => { + if (parent.siblings("section").is(":visible")) { + parent + .find("a.docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + parent + .find("a.docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + articleToggleTitle = "Collapse docstring"; + } + + parent + .children(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + parent.siblings("section").slideToggle(); + }); + } +); + +$(document).on("click", ".docs-article-toggle-button", function (event) { + let articleToggleTitle = "Expand docstring"; + let navArticleToggleTitle = "Expand all docstrings"; + let animationSpeed = event.noToggleAnimation ? 0 : 400; + + debounce(() => { + if (isExpanded) { + $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); + $("a.docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + + isExpanded = false; + + $(".docstring section").slideUp(animationSpeed); + } else { + $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); + $("a.docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + isExpanded = true; + articleToggleTitle = "Collapse docstring"; + navArticleToggleTitle = "Collapse all docstrings"; + + $(".docstring section").slideDown(animationSpeed); + } + + $(this).prop("title", navArticleToggleTitle); + $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + }); +}); + +function debounce(callback, timeout = 300) { + if (Date.now() - timer > timeout) { + callback(); + } + + clearTimeout(timer); + + timer = Date.now(); +} + }) //////////////////////////////////////////////////////////////////////////////// require([], function() { function addCopyButtonCallbacks() { for (const el of document.getElementsByTagName("pre")) { const button = document.createElement("button"); - button.classList.add("copy-button", "fas", "fa-copy"); + button.classList.add("copy-button", "fa-solid", "fa-copy"); + button.setAttribute("aria-label", "Copy this code block"); + button.setAttribute("title", "Copy"); + el.appendChild(button); const success = function () { @@ -85,7 +168,7 @@ function addCopyButtonCallbacks() { }; const failure = function () { - button.classList.add("error", "fa-times"); + button.classList.add("error", "fa-xmark"); button.classList.remove("fa-copy"); }; @@ -94,7 +177,7 @@ function addCopyButtonCallbacks() { setTimeout(function () { button.classList.add("fa-copy"); - button.classList.remove("success", "fa-check", "fa-times"); + button.classList.remove("success", "fa-check", "fa-xmark"); }, 5000); }); } @@ -138,29 +221,584 @@ require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { // Manages the top navigation bar (hides it when the user starts scrolling down on the // mobile). window.Headroom = Headroom; // work around buggy module loading? -$(document).ready(function() { - $('#documenter .docs-navbar').headroom({ - "tolerance": {"up": 10, "down": 10}, +$(document).ready(function () { + $("#documenter .docs-navbar").headroom({ + tolerance: { up: 10, down: 10 }, }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let meta = $("div[data-docstringscollapsed]").data(); + + if (meta?.docstringscollapsed) { + $("#documenter-article-toggle-button").trigger({ + type: "click", + noToggleAnimation: true, + }); + } +}); + }) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +/* +To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc + +PSEUDOCODE: + +Searching happens automatically as the user types or adjusts the selected filters. +To preserve responsiveness, as much as possible of the slow parts of the search are done +in a web worker. Searching and result generation are done in the worker, and filtering and +DOM updates are done in the main thread. The filters are in the main thread as they should +be very quick to apply. This lets filters be changed without re-searching with minisearch +(which is possible even if filtering is on the worker thread) and also lets filters be +changed _while_ the worker is searching and without message passing (neither of which are +possible if filtering is on the worker thread) + +SEARCH WORKER: + +Import minisearch + +Build index + +On message from main thread + run search + find the first 200 unique results from each category, and compute their divs for display + note that this is necessary and sufficient information for the main thread to find the + first 200 unique results from any given filter set + post results to main thread + +MAIN: + +Launch worker + +Declare nonconstant globals (worker_is_running, last_search_text, unfiltered_results) + +On text update + if worker is not running, launch_search() + +launch_search + set worker_is_running to true, set last_search_text to the search text + post the search query to worker + +on message from worker + if last_search_text is not the same as the text in the search field, + the latest search result is not reflective of the latest search query, so update again + launch_search() + otherwise + set worker_is_running to false + + regardless, display the new search results to the user + save the unfiltered_results as a global + update_search() + +on filter click + adjust the filter selection + update_search() + +update_search + apply search filters by looping through the unfiltered_results and finding the first 200 + unique results that match the filters + + Update the DOM +*/ + +/////// SEARCH WORKER /////// + +function worker_function(documenterSearchIndex, documenterBaseURL, filters) { + importScripts( + "https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min.js" + ); + + let data = documenterSearchIndex.map((x, key) => { + x["id"] = key; // minisearch requires a unique for each object + return x; + }); + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + const stopWords = new Set([ + "a", + "able", + "about", + "across", + "after", + "almost", + "also", + "am", + "among", + "an", + "and", + "are", + "as", + "at", + "be", + "because", + "been", + "but", + "by", + "can", + "cannot", + "could", + "dear", + "did", + "does", + "either", + "ever", + "every", + "from", + "got", + "had", + "has", + "have", + "he", + "her", + "hers", + "him", + "his", + "how", + "however", + "i", + "if", + "into", + "it", + "its", + "just", + "least", + "like", + "likely", + "may", + "me", + "might", + "most", + "must", + "my", + "neither", + "no", + "nor", + "not", + "of", + "off", + "often", + "on", + "or", + "other", + "our", + "own", + "rather", + "said", + "say", + "says", + "she", + "should", + "since", + "so", + "some", + "than", + "that", + "the", + "their", + "them", + "then", + "there", + "these", + "they", + "this", + "tis", + "to", + "too", + "twas", + "us", + "wants", + "was", + "we", + "were", + "what", + "when", + "who", + "whom", + "why", + "will", + "would", + "yet", + "you", + "your", + ]); + + let index = new MiniSearch({ + fields: ["title", "text"], // fields to index for full-text search + storeFields: ["location", "title", "text", "category", "page"], // fields to return with results + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + + word = word.toLowerCase(); + } + + return word ?? null; + }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not + // find anything if searching for "add!", only for the entire qualification + tokenize: (string) => string.split(/[\s\-\.]+/), + // options which will be applied during the search + searchOptions: { + prefix: true, + boost: { title: 100 }, + fuzzy: 2, + }, + }); + + index.addAll(data); + + /** + * Used to map characters to HTML entities. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const htmlEscapes = { + "&": "&", + "<": "<", + ">": ">", + '"': """, + "'": "'", + }; + + /** + * Used to match HTML entities and HTML characters. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const reUnescapedHtml = /[&<>"']/g; + const reHasUnescapedHtml = RegExp(reUnescapedHtml.source); + + /** + * Escape function from lodash + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + function escape(string) { + return string && reHasUnescapedHtml.test(string) + ? string.replace(reUnescapedHtml, (chr) => htmlEscapes[chr]) + : string || ""; + } + + /** + * RegX escape function from MDN + * Refer: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Regular_Expressions#escaping + */ + function escapeRegExp(string) { + return string.replace(/[.*+?^${}()|[\]\\]/g, "\\$&"); // $& means the whole matched string + } + + /** + * Make the result component given a minisearch result data object and the value + * of the search input as queryString. To view the result object structure, refer: + * https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ + function make_search_result(result, querystring) { + let search_divider = `
`; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } + searchstring = escapeRegExp(querystring); + let textindex = new RegExp(`${searchstring}`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + text = text.length ? escape(text) : ""; + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`${escape(searchstring)}`, "i"), // For first occurrence + '$&' + ) + + "..." + : ""; // highlights the match + + let in_code = false; + if (!["page", "section"].includes(result.category.toLowerCase())) { + in_code = true; + } + + // We encode the full url to escape some special characters which can lead to broken links + let result_div = ` + +
+
${escape(result.title)}
+
${result.category}
+
+

+ ${display_result} +

+
+ ${display_link} +
+ + ${search_divider} + `; + + return result_div; + } + + self.onmessage = function (e) { + let query = e.data; + let results = index.search(query, { + filter: (result) => { + // Only return relevant results + return result.score >= 1; + }, + combineWith: "AND", + }); + + // Pre-filter to deduplicate and limit to 200 per category to the extent + // possible without knowing what the filters are. + let filtered_results = []; + let counts = {}; + for (let filter of filters) { + counts[filter] = 0; + } + let present = {}; + + for (let result of results) { + cat = result.category; + cnt = counts[cat]; + if (cnt < 200) { + id = cat + "---" + result.location; + if (present[id]) { + continue; + } + present[id] = true; + filtered_results.push({ + location: result.location, + category: cat, + div: make_search_result(result, query), + }); + } + } + + postMessage(filtered_results); + }; +} + +// `worker = Threads.@spawn worker_function(documenterSearchIndex)`, but in JavaScript! +const filters = [ + ...new Set(documenterSearchIndex["docs"].map((x) => x.category)), +]; +const worker_str = + "(" + + worker_function.toString() + + ")(" + + JSON.stringify(documenterSearchIndex["docs"]) + + "," + + JSON.stringify(documenterBaseURL) + + "," + + JSON.stringify(filters) + + ")"; +const worker_blob = new Blob([worker_str], { type: "text/javascript" }); +const worker = new Worker(URL.createObjectURL(worker_blob)); + +/////// SEARCH MAIN /////// + +// Whether the worker is currently handling a search. This is a boolean +// as the worker only ever handles 1 or 0 searches at a time. +var worker_is_running = false; + +// The last search text that was sent to the worker. This is used to determine +// if the worker should be launched again when it reports back results. +var last_search_text = ""; + +// The results of the last search. This, in combination with the state of the filters +// in the DOM, is used compute the results to display on calls to update_search. +var unfiltered_results = []; + +// Which filter is currently selected +var selected_filter = ""; + +$(document).on("input", ".documenter-search-input", function (event) { + if (!worker_is_running) { + launch_search(); + } +}); + +function launch_search() { + worker_is_running = true; + last_search_text = $(".documenter-search-input").val(); + worker.postMessage(last_search_text); +} + +worker.onmessage = function (e) { + if (last_search_text !== $(".documenter-search-input").val()) { + launch_search(); + } else { + worker_is_running = false; + } + + unfiltered_results = e.data; + update_search(); +}; + +$(document).on("click", ".search-filter", function () { + if ($(this).hasClass("search-filter-selected")) { + selected_filter = ""; + } else { + selected_filter = $(this).text().toLowerCase(); + } + + // This updates search results and toggles classes for UI: + update_search(); +}); + +/** + * Make/Update the search component + */ +function update_search() { + let querystring = $(".documenter-search-input").val(); + + if (querystring.trim()) { + if (selected_filter == "") { + results = unfiltered_results; + } else { + results = unfiltered_results.filter((result) => { + return selected_filter == result.category.toLowerCase(); + }); + } + + let search_result_container = ``; + let modal_filters = make_modal_body_filters(); + let search_divider = `
`; + + if (results.length) { + let links = []; + let count = 0; + let search_results = ""; + + for (var i = 0, n = results.length; i < n && count < 200; ++i) { + let result = results[i]; + if (result.location && !links.includes(result.location)) { + search_results += result.div; + count++; + links.push(result.location); + } + } + + if (count == 1) { + count_str = "1 result"; + } else if (count == 200) { + count_str = "200+ results"; + } else { + count_str = count + " results"; + } + let result_count = `
${count_str}
`; + + search_result_container = ` +
+ ${modal_filters} + ${search_divider} + ${result_count} +
+ ${search_results} +
+
+ `; + } else { + search_result_container = ` +
+ ${modal_filters} + ${search_divider} +
0 result(s)
+
+
No result found!
+ `; + } + + if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").removeClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(search_result_container); + } else { + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(` +
Type something to get started!
+ `); + } +} + +/** + * Make the modal filter html + * + * @returns string + */ +function make_modal_body_filters() { + let str = filters + .map((val) => { + if (selected_filter == val.toLowerCase()) { + return `${val}`; + } else { + return `${val}`; + } + }) + .join(""); + + return ` +
+ Filters: + ${str} +
`; +} }) //////////////////////////////////////////////////////////////////////////////// require(['jquery'], function($) { // Modal settings dialog -$(document).ready(function() { - var settings = $('#documenter-settings'); - $('#documenter-settings-button').click(function(){ - settings.toggleClass('is-active'); +$(document).ready(function () { + var settings = $("#documenter-settings"); + $("#documenter-settings-button").click(function () { + settings.toggleClass("is-active"); }); // Close the dialog if X is clicked - $('#documenter-settings button.delete').click(function(){ - settings.removeClass('is-active'); + $("#documenter-settings button.delete").click(function () { + settings.removeClass("is-active"); }); // Close dialog if ESC is pressed - $(document).keyup(function(e) { - if (e.keyCode == 27) settings.removeClass('is-active'); + $(document).keyup(function (e) { + if (e.keyCode == 27) settings.removeClass("is-active"); }); }); @@ -168,151 +806,246 @@ $(document).ready(function() { //////////////////////////////////////////////////////////////////////////////// require(['jquery'], function($) { +$(document).ready(function () { + let search_modal_header = ` +
+
+

+ + + + +

+
+
+ +
+
+ `; + + let initial_search_body = ` +
Type something to get started!
+ `; + + let search_modal_footer = ` + + `; + + $(document.body).append( + ` + + ` + ); + + document.querySelector(".docs-search-query").addEventListener("click", () => { + openModal(); + }); + + document + .querySelector(".close-search-modal") + .addEventListener("click", () => { + closeModal(); + }); + + $(document).on("click", ".search-result-link", function () { + closeModal(); + }); + + document.addEventListener("keydown", (event) => { + if ((event.ctrlKey || event.metaKey) && event.key === "/") { + openModal(); + } else if (event.key === "Escape") { + closeModal(); + } + + return false; + }); + + // Functions to open and close a modal + function openModal() { + let searchModal = document.querySelector("#search-modal"); + + searchModal.classList.add("is-active"); + document.querySelector(".documenter-search-input").focus(); + } + + function closeModal() { + let searchModal = document.querySelector("#search-modal"); + let initial_search_body = ` +
Type something to get started!
+ `; + + searchModal.classList.remove("is-active"); + document.querySelector(".documenter-search-input").blur(); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".documenter-search-input").val(""); + $(".search-modal-card-body").html(initial_search_body); + } + + document + .querySelector("#search-modal .modal-background") + .addEventListener("click", () => { + closeModal(); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + // Manages the showing and hiding of the sidebar. -$(document).ready(function() { +$(document).ready(function () { var sidebar = $("#documenter > .docs-sidebar"); - var sidebar_button = $("#documenter-sidebar-button") - sidebar_button.click(function(ev) { + var sidebar_button = $("#documenter-sidebar-button"); + sidebar_button.click(function (ev) { ev.preventDefault(); - sidebar.toggleClass('visible'); - if (sidebar.hasClass('visible')) { + sidebar.toggleClass("visible"); + if (sidebar.hasClass("visible")) { // Makes sure that the current menu item is visible in the sidebar. $("#documenter .docs-menu a.is-active").focus(); } }); - $("#documenter > .docs-main").bind('click', function(ev) { + $("#documenter > .docs-main").bind("click", function (ev) { if ($(ev.target).is(sidebar_button)) { return; } - if (sidebar.hasClass('visible')) { - sidebar.removeClass('visible'); + if (sidebar.hasClass("visible")) { + sidebar.removeClass("visible"); } }); -}) +}); // Resizes the package name / sitename in the sidebar if it is too wide. // Inspired by: https://github.com/davatron5000/FitText.js -$(document).ready(function() { +$(document).ready(function () { e = $("#documenter .docs-autofit"); function resize() { - var L = parseInt(e.css('max-width'), 10); + var L = parseInt(e.css("max-width"), 10); var L0 = e.width(); - if(L0 > L) { - var h0 = parseInt(e.css('font-size'), 10); - e.css('font-size', L * h0 / L0); + if (L0 > L) { + var h0 = parseInt(e.css("font-size"), 10); + e.css("font-size", (L * h0) / L0); // TODO: make sure it survives resizes? } } // call once and then register events resize(); $(window).resize(resize); - $(window).on('orientationchange', resize); + $(window).on("orientationchange", resize); }); // Scroll the navigation bar to the currently selected menu item -$(document).ready(function() { +$(document).ready(function () { var sidebar = $("#documenter .docs-menu").get(0); var active = $("#documenter .docs-menu .is-active").get(0); - if(typeof active !== 'undefined') { + if (typeof active !== "undefined") { sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; } -}) +}); }) //////////////////////////////////////////////////////////////////////////////// require(['jquery'], function($) { -function set_theme(theme) { - var active = null; - var disabled = []; - for (var i = 0; i < document.styleSheets.length; i++) { - var ss = document.styleSheets[i]; - var themename = ss.ownerNode.getAttribute("data-theme-name"); - if(themename === null) continue; // ignore non-theme stylesheets - // Find the active theme - if(themename === theme) active = ss; - else disabled.push(ss); - } - if(active !== null) { - active.disabled = false; - if(active.ownerNode.getAttribute("data-theme-primary") === null) { - document.getElementsByTagName('html')[0].className = "theme--" + theme; - } else { - document.getElementsByTagName('html')[0].className = ""; - } - disabled.forEach(function(ss){ - ss.disabled = true; - }); - } - - // Store the theme in localStorage - if(typeof(window.localStorage) !== "undefined") { - window.localStorage.setItem("documenter-theme", theme); - } else { - console.error("Browser does not support window.localStorage"); - } -} - // Theme picker setup -$(document).ready(function() { +$(document).ready(function () { // onchange callback - $('#documenter-themepicker').change(function themepick_callback(ev){ - var themename = $('#documenter-themepicker option:selected').attr('value'); - set_theme(themename); + $("#documenter-themepicker").change(function themepick_callback(ev) { + var themename = $("#documenter-themepicker option:selected").attr("value"); + if (themename === "auto") { + // set_theme(window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light'); + window.localStorage.removeItem("documenter-theme"); + } else { + // set_theme(themename); + window.localStorage.setItem("documenter-theme", themename); + } + // We re-use the global function from themeswap.js to actually do the swapping. + set_theme_from_local_storage(); }); // Make sure that the themepicker displays the correct theme when the theme is retrieved // from localStorage - if(typeof(window.localStorage) !== "undefined") { - var theme = window.localStorage.getItem("documenter-theme"); - if(theme !== null) { - $('#documenter-themepicker option').each(function(i,e) { - e.selected = (e.value === theme); - }) - } else { - $('#documenter-themepicker option').each(function(i,e) { - e.selected = $("html").hasClass(`theme--${e.value}`); - }) + if (typeof window.localStorage !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if (theme !== null) { + $("#documenter-themepicker option").each(function (i, e) { + e.selected = e.value === theme; + }); } } -}) +}); }) //////////////////////////////////////////////////////////////////////////////// require(['jquery'], function($) { // update the version selector with info from the siteinfo.js and ../versions.js files -$(document).ready(function() { +$(document).ready(function () { // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the // siteinfo.js file, we just return immediately and not display the version selector. - if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) { + if ( + typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === "boolean" && + DOCUMENTER_VERSION_SELECTOR_DISABLED + ) { return; } var version_selector = $("#documenter .docs-version-selector"); var version_selector_select = $("#documenter .docs-version-selector select"); - version_selector_select.change(function(x) { - target_href = version_selector_select.children("option:selected").get(0).value; + version_selector_select.change(function (x) { + target_href = version_selector_select + .children("option:selected") + .get(0).value; window.location.href = target_href; }); // add the current version to the selector based on siteinfo.js, but only if the selector is empty - if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) { - var option = $(""); + if ( + typeof DOCUMENTER_CURRENT_VERSION !== "undefined" && + $("#version-selector > option").length == 0 + ) { + var option = $( + "" + ); version_selector_select.append(option); } - if (typeof DOC_VERSIONS !== 'undefined') { + if (typeof DOC_VERSIONS !== "undefined") { var existing_versions = version_selector_select.children("option"); - var existing_versions_texts = existing_versions.map(function(i,x){return x.text}); - DOC_VERSIONS.forEach(function(each) { - var version_url = documenterBaseURL + "/../" + each; + var existing_versions_texts = existing_versions.map(function (i, x) { + return x.text; + }); + DOC_VERSIONS.forEach(function (each) { + var version_url = documenterBaseURL + "/../" + each + "/"; var existing_id = $.inArray(each, existing_versions_texts); // if not already in the version selector, add it as a new option, // otherwise update the old option with the URL and enable it if (existing_id == -1) { - var option = $(""); + var option = $( + "" + ); version_selector_select.append(option); } else { var option = existing_versions[existing_id]; @@ -326,6 +1059,6 @@ $(document).ready(function() { if (version_selector_select.children("option").length > 0) { version_selector.toggleClass("visible"); } -}) +}); }) diff --git a/dev/assets/themes/catppuccin-frappe.css b/dev/assets/themes/catppuccin-frappe.css new file mode 100644 index 00000000..32e3f008 --- /dev/null +++ b/dev/assets/themes/catppuccin-frappe.css @@ -0,0 +1 @@ +html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe 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.pagination-ellipsis:focus,html.theme--catppuccin-frappe .file-cta:focus,html.theme--catppuccin-frappe .file-name:focus,html.theme--catppuccin-frappe .select select:focus,html.theme--catppuccin-frappe .textarea:focus,html.theme--catppuccin-frappe .input:focus,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input:focus,html.theme--catppuccin-frappe .button:focus,html.theme--catppuccin-frappe .is-focused.pagination-previous,html.theme--catppuccin-frappe .is-focused.pagination-next,html.theme--catppuccin-frappe .is-focused.pagination-link,html.theme--catppuccin-frappe .is-focused.pagination-ellipsis,html.theme--catppuccin-frappe .is-focused.file-cta,html.theme--catppuccin-frappe .is-focused.file-name,html.theme--catppuccin-frappe .select select.is-focused,html.theme--catppuccin-frappe .is-focused.textarea,html.theme--catppuccin-frappe .is-focused.input,html.theme--catppuccin-frappe #documenter .docs-sidebar 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.button.is-white.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-frappe .button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-white.is-outlined:hover,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-white.is-outlined:focus,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-frappe .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-black:hover,html.theme--catppuccin-frappe .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-black:focus,html.theme--catppuccin-frappe .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-black:focus:not(:active),html.theme--catppuccin-frappe .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-frappe .button.is-black:active,html.theme--catppuccin-frappe .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-frappe .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-inverted:hover,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-outlined:hover,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-black.is-outlined:focus,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light:hover,html.theme--catppuccin-frappe .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light:focus,html.theme--catppuccin-frappe .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light:focus:not(:active),html.theme--catppuccin-frappe .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-frappe .button.is-light:active,html.theme--catppuccin-frappe .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-frappe .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-inverted:hover,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-outlined:hover,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-light.is-outlined:focus,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-dark,html.theme--catppuccin-frappe .content kbd.button{background-color:#414559;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark:hover,html.theme--catppuccin-frappe .content kbd.button:hover,html.theme--catppuccin-frappe .button.is-dark.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-hovered{background-color:#3c3f52;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark:focus,html.theme--catppuccin-frappe .content kbd.button:focus,html.theme--catppuccin-frappe .button.is-dark.is-focused,html.theme--catppuccin-frappe .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark:focus:not(:active),html.theme--catppuccin-frappe .content kbd.button:focus:not(:active),html.theme--catppuccin-frappe .button.is-dark.is-focused:not(:active),html.theme--catppuccin-frappe .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(65,69,89,0.25)}html.theme--catppuccin-frappe .button.is-dark:active,html.theme--catppuccin-frappe .content kbd.button:active,html.theme--catppuccin-frappe .button.is-dark.is-active,html.theme--catppuccin-frappe .content kbd.button.is-active{background-color:#363a4a;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark[disabled],html.theme--catppuccin-frappe .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button{background-color:#414559;border-color:#414559;box-shadow:none}html.theme--catppuccin-frappe .button.is-dark.is-inverted,html.theme--catppuccin-frappe .content kbd.button.is-inverted{background-color:#fff;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted:hover,html.theme--catppuccin-frappe .content kbd.button.is-inverted:hover,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-dark.is-inverted[disabled],html.theme--catppuccin-frappe .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-loading::after,html.theme--catppuccin-frappe .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-dark.is-outlined,html.theme--catppuccin-frappe .content kbd.button.is-outlined{background-color:transparent;border-color:#414559;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-outlined:hover,html.theme--catppuccin-frappe .content kbd.button.is-outlined:hover,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-dark.is-outlined:focus,html.theme--catppuccin-frappe .content kbd.button.is-outlined:focus,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-focused{background-color:#414559;border-color:#414559;color:#fff}html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #414559 #414559 !important}html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-dark.is-outlined[disabled],html.theme--catppuccin-frappe .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button.is-outlined{background-color:transparent;border-color:#414559;box-shadow:none;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #414559 #414559 !important}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-primary,html.theme--catppuccin-frappe .docstring>section>a.button.docs-sourcelink{background-color:#8caaee;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-primary:hover,html.theme--catppuccin-frappe .docstring>section>a.button.docs-sourcelink:hover,html.theme--catppuccin-frappe .button.is-primary.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#81a2ec;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-primary:focus,html.theme--catppuccin-frappe .docstring>section>a.button.docs-sourcelink:focus,html.theme--catppuccin-frappe .button.is-primary.is-focused,html.theme--catppuccin-frappe .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-primary:focus:not(:active),html.theme--catppuccin-frappe .docstring>section>a.button.docs-sourcelink:focus:not(:active),html.theme--catppuccin-frappe .button.is-primary.is-focused:not(:active),html.theme--catppuccin-frappe .docstring>section>a.button.is-focused.docs-sourcelink:not(:active){box-shadow:0 0 0 0.125em rgba(140,170,238,0.25)}html.theme--catppuccin-frappe .button.is-primary:active,html.theme--catppuccin-frappe .docstring>section>a.button.docs-sourcelink:active,html.theme--catppuccin-frappe .button.is-primary.is-active,html.theme--catppuccin-frappe .docstring>section>a.button.is-active.docs-sourcelink{background-color:#769aeb;border-color:transparent;color:#fff}html.theme--catppuccin-frappe 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.button.is-primary.is-outlined.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-frappe .button.is-primary.is-outlined:focus,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-focused,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#8caaee;border-color:#8caaee;color:#fff}html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-primary.is-outlined[disabled],html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-primary.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#8caaee;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink:hover,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-focused,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-focused.docs-sourcelink{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined[disabled],html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-primary.is-light,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink{background-color:#edf2fc;color:#153a8e}html.theme--catppuccin-frappe .button.is-primary.is-light:hover,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink:hover,html.theme--catppuccin-frappe .button.is-primary.is-light.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-hovered.docs-sourcelink{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-primary.is-light:active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink:active,html.theme--catppuccin-frappe .button.is-primary.is-light.is-active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link{background-color:#8caaee;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:hover,html.theme--catppuccin-frappe .button.is-link.is-hovered{background-color:#81a2ec;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:focus,html.theme--catppuccin-frappe .button.is-link.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:focus:not(:active),html.theme--catppuccin-frappe .button.is-link.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(140,170,238,0.25)}html.theme--catppuccin-frappe .button.is-link:active,html.theme--catppuccin-frappe .button.is-link.is-active{background-color:#769aeb;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link{background-color:#8caaee;border-color:#8caaee;box-shadow:none}html.theme--catppuccin-frappe .button.is-link.is-inverted{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted:hover,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-link.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-outlined:focus,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-focused{background-color:#8caaee;border-color:#8caaee;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe 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.button.is-link.is-light.is-hovered{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:active,html.theme--catppuccin-frappe .button.is-link.is-light.is-active{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:hover,html.theme--catppuccin-frappe .button.is-info.is-hovered{background-color:#78c4b9;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus,html.theme--catppuccin-frappe .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus:not(:active),html.theme--catppuccin-frappe .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(129,200,190,0.25)}html.theme--catppuccin-frappe .button.is-info:active,html.theme--catppuccin-frappe .button.is-info.is-active{background-color:#6fc0b5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:#81c8be;box-shadow:none}html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) 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.button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-light{background-color:#f1f9f8;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:hover,html.theme--catppuccin-frappe .button.is-info.is-light.is-hovered{background-color:#e8f5f3;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:active,html.theme--catppuccin-frappe .button.is-info.is-light.is-active{background-color:#dff1ef;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-success{background-color:#a6d189;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:hover,html.theme--catppuccin-frappe .button.is-success.is-hovered{background-color:#9fcd80;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:focus,html.theme--catppuccin-frappe .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:focus:not(:active),html.theme--catppuccin-frappe .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,209,137,0.25)}html.theme--catppuccin-frappe .button.is-success:active,html.theme--catppuccin-frappe .button.is-success.is-active{background-color:#98ca77;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success{background-color:#a6d189;border-color:#a6d189;box-shadow:none}html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-focused{background-color:#a6d189;border-color:#a6d189;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-light{background-color:#f4f9f0;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:hover,html.theme--catppuccin-frappe .button.is-success.is-light.is-hovered{background-color:#edf6e7;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:active,html.theme--catppuccin-frappe .button.is-success.is-light.is-active{background-color:#e6f2de;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:hover,html.theme--catppuccin-frappe .button.is-warning.is-hovered{background-color:#e3c386;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus,html.theme--catppuccin-frappe .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus:not(:active),html.theme--catppuccin-frappe .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(229,200,144,0.25)}html.theme--catppuccin-frappe .button.is-warning:active,html.theme--catppuccin-frappe .button.is-warning.is-active{background-color:#e0be7b;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:#e5c890;box-shadow:none}html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-focused{background-color:#e5c890;border-color:#e5c890;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-light{background-color:#fbf7ee;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:hover,html.theme--catppuccin-frappe .button.is-warning.is-light.is-hovered{background-color:#f9f2e4;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:active,html.theme--catppuccin-frappe .button.is-warning.is-light.is-active{background-color:#f6edda;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:hover,html.theme--catppuccin-frappe .button.is-danger.is-hovered{background-color:#e57779;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus,html.theme--catppuccin-frappe .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus:not(:active),html.theme--catppuccin-frappe .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(231,130,132,0.25)}html.theme--catppuccin-frappe .button.is-danger:active,html.theme--catppuccin-frappe .button.is-danger.is-active{background-color:#e36d6f;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:#e78284;box-shadow:none}html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-focused{background-color:#e78284;border-color:#e78284;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-light{background-color:#fceeee;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:hover,html.theme--catppuccin-frappe .button.is-danger.is-light.is-hovered{background-color:#fae3e4;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:active,html.theme--catppuccin-frappe .button.is-danger.is-light.is-active{background-color:#f8d8d9;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-frappe .button.is-small:not(.is-rounded),html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .button.is-normal{font-size:1rem}html.theme--catppuccin-frappe .button.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .button.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button{background-color:#737994;border-color:#626880;box-shadow:none;opacity:.5}html.theme--catppuccin-frappe .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-frappe .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-frappe .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-frappe .button.is-static{background-color:#292c3c;border-color:#626880;color:#838ba7;box-shadow:none;pointer-events:none}html.theme--catppuccin-frappe .button.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-frappe .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-frappe .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-frappe .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-frappe .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-frappe .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-frappe .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-frappe .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-frappe .buttons.has-addons .button:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-frappe .buttons.has-addons .button:focus,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused,html.theme--catppuccin-frappe .buttons.has-addons .button:active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-frappe .buttons.has-addons .button:focus:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-frappe .buttons.has-addons .button:active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-frappe .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .buttons.is-centered{justify-content:center}html.theme--catppuccin-frappe .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-frappe .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-frappe .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-frappe .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-frappe .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-frappe .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-frappe .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-frappe .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-frappe .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-frappe .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-frappe .content li+li{margin-top:0.25em}html.theme--catppuccin-frappe .content p:not(:last-child),html.theme--catppuccin-frappe .content dl:not(:last-child),html.theme--catppuccin-frappe .content ol:not(:last-child),html.theme--catppuccin-frappe .content ul:not(:last-child),html.theme--catppuccin-frappe .content blockquote:not(:last-child),html.theme--catppuccin-frappe .content pre:not(:last-child),html.theme--catppuccin-frappe .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-frappe .content h1,html.theme--catppuccin-frappe .content h2,html.theme--catppuccin-frappe .content h3,html.theme--catppuccin-frappe .content h4,html.theme--catppuccin-frappe .content h5,html.theme--catppuccin-frappe .content h6{color:#c6d0f5;font-weight:600;line-height:1.125}html.theme--catppuccin-frappe .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-frappe .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-frappe .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-frappe .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-frappe .content 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body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--catppuccin-frappe a.navbar-item.is-active,html.theme--catppuccin-frappe .navbar-link.is-active{color:#8caaee}html.theme--catppuccin-frappe a.navbar-item.is-active:not(:focus):not(:hover),html.theme--catppuccin-frappe .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--catppuccin-frappe .navbar-item.has-dropdown:focus .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown:hover .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--catppuccin-frappe .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--catppuccin-frappe .pagination{font-size:1rem;margin:-.25rem}html.theme--catppuccin-frappe .pagination.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--catppuccin-frappe 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.button.is-text{background-color:transparent;border-color:transparent;box-shadow:none}html.theme--catppuccin-latte .button.is-ghost{background:none;border-color:rgba(0,0,0,0);color:#1e66f5;text-decoration:none}html.theme--catppuccin-latte .button.is-ghost:hover,html.theme--catppuccin-latte .button.is-ghost.is-hovered{color:#1e66f5;text-decoration:underline}html.theme--catppuccin-latte .button.is-white{background-color:#fff;border-color:transparent;color:#0a0a0a}html.theme--catppuccin-latte .button.is-white:hover,html.theme--catppuccin-latte .button.is-white.is-hovered{background-color:#f9f9f9;border-color:transparent;color:#0a0a0a}html.theme--catppuccin-latte .button.is-white:focus,html.theme--catppuccin-latte .button.is-white.is-focused{border-color:transparent;color:#0a0a0a}html.theme--catppuccin-latte .button.is-white:focus:not(:active),html.theme--catppuccin-latte .button.is-white.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-latte .button.is-white:active,html.theme--catppuccin-latte .button.is-white.is-active{background-color:#f2f2f2;border-color:transparent;color:#0a0a0a}html.theme--catppuccin-latte .button.is-white[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-white{background-color:#fff;border-color:#fff;box-shadow:none}html.theme--catppuccin-latte .button.is-white.is-inverted{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .button.is-white.is-inverted:hover,html.theme--catppuccin-latte .button.is-white.is-inverted.is-hovered{background-color:#000}html.theme--catppuccin-latte .button.is-white.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-white.is-inverted{background-color:#0a0a0a;border-color:transparent;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-white.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-white.is-outlined:hover,html.theme--catppuccin-latte .button.is-white.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-white.is-outlined:focus,html.theme--catppuccin-latte .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-white.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-white.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-white.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:hover,html.theme--catppuccin-latte .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:focus,html.theme--catppuccin-latte .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:focus:not(:active),html.theme--catppuccin-latte .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-latte .button.is-black:active,html.theme--catppuccin-latte .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:hover,html.theme--catppuccin-latte .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus,html.theme--catppuccin-latte .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus:not(:active),html.theme--catppuccin-latte .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-latte .button.is-light:active,html.theme--catppuccin-latte .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark,html.theme--catppuccin-latte .content kbd.button{background-color:#ccd0da;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:hover,html.theme--catppuccin-latte .content kbd.button:hover,html.theme--catppuccin-latte .button.is-dark.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-hovered{background-color:#c5c9d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:focus,html.theme--catppuccin-latte .content kbd.button:focus,html.theme--catppuccin-latte .button.is-dark.is-focused,html.theme--catppuccin-latte .content kbd.button.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:focus:not(:active),html.theme--catppuccin-latte .content kbd.button:focus:not(:active),html.theme--catppuccin-latte .button.is-dark.is-focused:not(:active),html.theme--catppuccin-latte .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(204,208,218,0.25)}html.theme--catppuccin-latte .button.is-dark:active,html.theme--catppuccin-latte .content kbd.button:active,html.theme--catppuccin-latte .button.is-dark.is-active,html.theme--catppuccin-latte .content kbd.button.is-active{background-color:#bdc2cf;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark[disabled],html.theme--catppuccin-latte .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button{background-color:#ccd0da;border-color:#ccd0da;box-shadow:none}html.theme--catppuccin-latte .button.is-dark.is-inverted,html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-focused{background-color:#ccd0da;border-color:#ccd0da;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte 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.button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-focused{background-color:#fff;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #179299 #179299 !important}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-info.is-light{background-color:#edfcfc;color:#1cb2ba}html.theme--catppuccin-latte .button.is-info.is-light:hover,html.theme--catppuccin-latte .button.is-info.is-light.is-hovered{background-color:#e2f9fb;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-info.is-light:active,html.theme--catppuccin-latte .button.is-info.is-light.is-active{background-color:#d7f7f9;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:hover,html.theme--catppuccin-latte .button.is-success.is-hovered{background-color:#3c9628;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus,html.theme--catppuccin-latte .button.is-success.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus:not(:active),html.theme--catppuccin-latte .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(64,160,43,0.25)}html.theme--catppuccin-latte .button.is-success:active,html.theme--catppuccin-latte .button.is-success.is-active{background-color:#388c26;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:#40a02b;box-shadow:none}html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-outlined.is-focused{background-color:#40a02b;border-color:#40a02b;color:#fff}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-success.is-light{background-color:#f1fbef;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:hover,html.theme--catppuccin-latte .button.is-success.is-light.is-hovered{background-color:#e8f8e5;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:active,html.theme--catppuccin-latte .button.is-success.is-light.is-active{background-color:#e0f5db;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:hover,html.theme--catppuccin-latte .button.is-warning.is-hovered{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus,html.theme--catppuccin-latte .button.is-warning.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus:not(:active),html.theme--catppuccin-latte .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(223,142,29,0.25)}html.theme--catppuccin-latte .button.is-warning:active,html.theme--catppuccin-latte .button.is-warning.is-active{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:#df8e1d;box-shadow:none}html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-focused{background-color:#df8e1d;border-color:#df8e1d;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-light{background-color:#fdf6ed;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:hover,html.theme--catppuccin-latte .button.is-warning.is-light.is-hovered{background-color:#fbf1e2;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:active,html.theme--catppuccin-latte .button.is-warning.is-light.is-active{background-color:#faebd6;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:hover,html.theme--catppuccin-latte .button.is-danger.is-hovered{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus,html.theme--catppuccin-latte .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus:not(:active),html.theme--catppuccin-latte .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(210,15,57,0.25)}html.theme--catppuccin-latte .button.is-danger:active,html.theme--catppuccin-latte .button.is-danger.is-active{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:#d20f39;box-shadow:none}html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-focused{background-color:#d20f39;border-color:#d20f39;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-light{background-color:#feecf0;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:hover,html.theme--catppuccin-latte .button.is-danger.is-light.is-hovered{background-color:#fde0e6;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:active,html.theme--catppuccin-latte .button.is-danger.is-light.is-active{background-color:#fcd4dd;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-latte .button.is-small:not(.is-rounded),html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .button.is-normal{font-size:1rem}html.theme--catppuccin-latte .button.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .button.is-large{font-size:1.5rem}html.theme--catppuccin-latte .button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button{background-color:#9ca0b0;border-color:#acb0be;box-shadow:none;opacity:.5}html.theme--catppuccin-latte .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-latte .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-latte .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-latte .button.is-static{background-color:#e6e9ef;border-color:#acb0be;color:#8c8fa1;box-shadow:none;pointer-events:none}html.theme--catppuccin-latte .button.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-latte .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-latte .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-latte .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-latte .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-latte .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-latte .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-latte .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-latte .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-latte .buttons.has-addons .button:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-latte .buttons.has-addons .button:focus,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused,html.theme--catppuccin-latte .buttons.has-addons .button:active,html.theme--catppuccin-latte .buttons.has-addons .button.is-active,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-latte .buttons.has-addons .button:focus:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-latte .buttons.has-addons .button:active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-latte .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .buttons.is-centered{justify-content:center}html.theme--catppuccin-latte .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-latte .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-latte .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-latte 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.file-cta{background-color:#bdc2cf;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .file.is-primary .file-cta,html.theme--catppuccin-latte .docstring>section>a.file.docs-sourcelink .file-cta{background-color:#1e66f5;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-primary:hover .file-cta,html.theme--catppuccin-latte .docstring>section>a.file.docs-sourcelink:hover .file-cta,html.theme--catppuccin-latte .file.is-primary.is-hovered .file-cta,html.theme--catppuccin-latte .docstring>section>a.file.is-hovered.docs-sourcelink .file-cta{background-color:#125ef4;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-primary:focus .file-cta,html.theme--catppuccin-latte .docstring>section>a.file.docs-sourcelink:focus .file-cta,html.theme--catppuccin-latte .file.is-primary.is-focused .file-cta,html.theme--catppuccin-latte .docstring>section>a.file.is-focused.docs-sourcelink .file-cta{border-color:transparent;box-shadow:0 0 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.file.is-link.is-active .file-cta{background-color:#0b57ef;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-info .file-cta{background-color:#179299;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-info:hover .file-cta,html.theme--catppuccin-latte .file.is-info.is-hovered .file-cta{background-color:#15878e;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-info:focus .file-cta,html.theme--catppuccin-latte .file.is-info.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(23,146,153,0.25);color:#fff}html.theme--catppuccin-latte .file.is-info:active .file-cta,html.theme--catppuccin-latte .file.is-info.is-active .file-cta{background-color:#147d83;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-success .file-cta{background-color:#40a02b;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-success:hover .file-cta,html.theme--catppuccin-latte .file.is-success.is-hovered .file-cta{background-color:#3c9628;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-success:focus .file-cta,html.theme--catppuccin-latte .file.is-success.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(64,160,43,0.25);color:#fff}html.theme--catppuccin-latte .file.is-success:active .file-cta,html.theme--catppuccin-latte .file.is-success.is-active .file-cta{background-color:#388c26;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-warning .file-cta{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-warning:hover .file-cta,html.theme--catppuccin-latte .file.is-warning.is-hovered .file-cta{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-warning:focus .file-cta,html.theme--catppuccin-latte .file.is-warning.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(223,142,29,0.25);color:#fff}html.theme--catppuccin-latte .file.is-warning:active .file-cta,html.theme--catppuccin-latte .file.is-warning.is-active .file-cta{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-danger .file-cta{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-danger:hover .file-cta,html.theme--catppuccin-latte .file.is-danger.is-hovered .file-cta{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-danger:focus .file-cta,html.theme--catppuccin-latte .file.is-danger.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(210,15,57,0.25);color:#fff}html.theme--catppuccin-latte .file.is-danger:active .file-cta,html.theme--catppuccin-latte .file.is-danger.is-active .file-cta{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.file{font-size:.75rem}html.theme--catppuccin-latte .file.is-normal{font-size:1rem}html.theme--catppuccin-latte .file.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .file.is-medium .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-large{font-size:1.5rem}html.theme--catppuccin-latte .file.is-large .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.has-name .file-cta{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .file.has-name .file-name{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .file.has-name.is-empty .file-cta{border-radius:.4em}html.theme--catppuccin-latte .file.has-name.is-empty .file-name{display:none}html.theme--catppuccin-latte .file.is-boxed .file-label{flex-direction:column}html.theme--catppuccin-latte .file.is-boxed .file-cta{flex-direction:column;height:auto;padding:1em 3em}html.theme--catppuccin-latte .file.is-boxed .file-name{border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-boxed .file-icon{height:1.5em;width:1.5em}html.theme--catppuccin-latte .file.is-boxed .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-boxed.is-small .file-icon .fa,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-boxed .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .file.is-boxed.is-medium .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.is-boxed.is-large .file-icon .fa{font-size:35px}html.theme--catppuccin-latte .file.is-boxed.has-name .file-cta{border-radius:.4em .4em 0 0}html.theme--catppuccin-latte .file.is-boxed.has-name .file-name{border-radius:0 0 .4em .4em;border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-centered{justify-content:center}html.theme--catppuccin-latte .file.is-fullwidth .file-label{width:100%}html.theme--catppuccin-latte .file.is-fullwidth .file-name{flex-grow:1;max-width:none}html.theme--catppuccin-latte .file.is-right{justify-content:flex-end}html.theme--catppuccin-latte .file.is-right .file-cta{border-radius:0 .4em .4em 0}html.theme--catppuccin-latte .file.is-right .file-name{border-radius:.4em 0 0 .4em;border-width:1px 0 1px 1px;order:-1}html.theme--catppuccin-latte .file-label{align-items:stretch;display:flex;cursor:pointer;justify-content:flex-start;overflow:hidden;position:relative}html.theme--catppuccin-latte .file-label:hover .file-cta{background-color:#c5c9d5;color:#41445a}html.theme--catppuccin-latte .file-label:hover .file-name{border-color:#a5a9b8}html.theme--catppuccin-latte .file-label:active .file-cta{background-color:#bdc2cf;color:#41445a}html.theme--catppuccin-latte .file-label:active .file-name{border-color:#9ea2b3}html.theme--catppuccin-latte .file-input{height:100%;left:0;opacity:0;outline:none;position:absolute;top:0;width:100%}html.theme--catppuccin-latte .file-cta,html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-radius:.4em;font-size:1em;padding-left:1em;padding-right:1em;white-space:nowrap}html.theme--catppuccin-latte .file-cta{background-color:#ccd0da;color:#4c4f69}html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-style:solid;border-width:1px 1px 1px 0;display:block;max-width:16em;overflow:hidden;text-align:inherit;text-overflow:ellipsis}html.theme--catppuccin-latte .file-icon{align-items:center;display:flex;height:1em;justify-content:center;margin-right:.5em;width:1em}html.theme--catppuccin-latte .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .label{color:#41445a;display:block;font-size:1rem;font-weight:700}html.theme--catppuccin-latte .label:not(:last-child){margin-bottom:0.5em}html.theme--catppuccin-latte .label.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.label{font-size:.75rem}html.theme--catppuccin-latte .label.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .label.is-large{font-size:1.5rem}html.theme--catppuccin-latte .help{display:block;font-size:.75rem;margin-top:0.25rem}html.theme--catppuccin-latte .help.is-white{color:#fff}html.theme--catppuccin-latte .help.is-black{color:#0a0a0a}html.theme--catppuccin-latte .help.is-light{color:#f5f5f5}html.theme--catppuccin-latte .help.is-dark,html.theme--catppuccin-latte .content kbd.help{color:#ccd0da}html.theme--catppuccin-latte .help.is-primary,html.theme--catppuccin-latte .docstring>section>a.help.docs-sourcelink{color:#1e66f5}html.theme--catppuccin-latte .help.is-link{color:#1e66f5}html.theme--catppuccin-latte .help.is-info{color:#179299}html.theme--catppuccin-latte .help.is-success{color:#40a02b}html.theme--catppuccin-latte .help.is-warning{color:#df8e1d}html.theme--catppuccin-latte .help.is-danger{color:#d20f39}html.theme--catppuccin-latte .field:not(:last-child){margin-bottom:0.75rem}html.theme--catppuccin-latte .field.has-addons{display:flex;justify-content:flex-start}html.theme--catppuccin-latte .field.has-addons .control:not(:last-child){margin-right:-1px}html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .button,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .select select{border-radius:0}html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .select select{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .select select{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-hovered:not([disabled]){z-index:2}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]){z-index:3}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]):hover{z-index:4}html.theme--catppuccin-latte .field.has-addons .control.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .field.has-addons.has-addons-centered{justify-content:center}html.theme--catppuccin-latte .field.has-addons.has-addons-right{justify-content:flex-end}html.theme--catppuccin-latte .field.has-addons.has-addons-fullwidth 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.icon:only-child,html.theme--catppuccin-latte .navbar-link .icon:only-child{margin-left:-0.25rem;margin-right:-0.25rem}html.theme--catppuccin-latte a.navbar-item,html.theme--catppuccin-latte .navbar-link{cursor:pointer}html.theme--catppuccin-latte a.navbar-item:focus,html.theme--catppuccin-latte a.navbar-item:focus-within,html.theme--catppuccin-latte a.navbar-item:hover,html.theme--catppuccin-latte a.navbar-item.is-active,html.theme--catppuccin-latte .navbar-link:focus,html.theme--catppuccin-latte .navbar-link:focus-within,html.theme--catppuccin-latte .navbar-link:hover,html.theme--catppuccin-latte .navbar-link.is-active{background-color:rgba(0,0,0,0);color:#1e66f5}html.theme--catppuccin-latte .navbar-item{flex-grow:0;flex-shrink:0}html.theme--catppuccin-latte .navbar-item img{max-height:1.75rem}html.theme--catppuccin-latte .navbar-item.has-dropdown{padding:0}html.theme--catppuccin-latte .navbar-item.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .navbar-item.is-tab{border-bottom:1px solid transparent;min-height:4rem;padding-bottom:calc(0.5rem - 1px)}html.theme--catppuccin-latte .navbar-item.is-tab:focus,html.theme--catppuccin-latte .navbar-item.is-tab:hover{background-color:rgba(0,0,0,0);border-bottom-color:#1e66f5}html.theme--catppuccin-latte .navbar-item.is-tab.is-active{background-color:rgba(0,0,0,0);border-bottom-color:#1e66f5;border-bottom-style:solid;border-bottom-width:3px;color:#1e66f5;padding-bottom:calc(0.5rem - 3px)}html.theme--catppuccin-latte .navbar-content{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .navbar-link:not(.is-arrowless){padding-right:2.5em}html.theme--catppuccin-latte .navbar-link:not(.is-arrowless)::after{border-color:#fff;margin-top:-0.375em;right:1.125em}html.theme--catppuccin-latte .navbar-dropdown{font-size:0.875rem;padding-bottom:0.5rem;padding-top:0.5rem}html.theme--catppuccin-latte .navbar-dropdown .navbar-item{padding-left:1.5rem;padding-right:1.5rem}html.theme--catppuccin-latte .navbar-divider{background-color:rgba(0,0,0,0.2);border:none;display:none;height:2px;margin:0.5rem 0}@media screen and (max-width: 1055px){html.theme--catppuccin-latte .navbar>.container{display:block}html.theme--catppuccin-latte .navbar-brand .navbar-item,html.theme--catppuccin-latte .navbar-tabs .navbar-item{align-items:center;display:flex}html.theme--catppuccin-latte .navbar-link::after{display:none}html.theme--catppuccin-latte .navbar-menu{background-color:#1e66f5;box-shadow:0 8px 16px rgba(10,10,10,0.1);padding:0.5rem 0}html.theme--catppuccin-latte .navbar-menu.is-active{display:block}html.theme--catppuccin-latte .navbar.is-fixed-bottom-touch,html.theme--catppuccin-latte .navbar.is-fixed-top-touch{left:0;position:fixed;right:0;z-index:30}html.theme--catppuccin-latte .navbar.is-fixed-bottom-touch{bottom:0}html.theme--catppuccin-latte .navbar.is-fixed-bottom-touch.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--catppuccin-latte .navbar.is-fixed-top-touch{top:0}html.theme--catppuccin-latte .navbar.is-fixed-top .navbar-menu,html.theme--catppuccin-latte .navbar.is-fixed-top-touch .navbar-menu{-webkit-overflow-scrolling:touch;max-height:calc(100vh - 4rem);overflow:auto}html.theme--catppuccin-latte html.has-navbar-fixed-top-touch,html.theme--catppuccin-latte body.has-navbar-fixed-top-touch{padding-top:4rem}html.theme--catppuccin-latte html.has-navbar-fixed-bottom-touch,html.theme--catppuccin-latte body.has-navbar-fixed-bottom-touch{padding-bottom:4rem}}@media screen and (min-width: 1056px){html.theme--catppuccin-latte .navbar,html.theme--catppuccin-latte .navbar-menu,html.theme--catppuccin-latte .navbar-start,html.theme--catppuccin-latte .navbar-end{align-items:stretch;display:flex}html.theme--catppuccin-latte .navbar{min-height:4rem}html.theme--catppuccin-latte .navbar.is-spaced{padding:1rem 2rem}html.theme--catppuccin-latte .navbar.is-spaced .navbar-start,html.theme--catppuccin-latte .navbar.is-spaced .navbar-end{align-items:center}html.theme--catppuccin-latte .navbar.is-spaced a.navbar-item,html.theme--catppuccin-latte .navbar.is-spaced .navbar-link{border-radius:.4em}html.theme--catppuccin-latte .navbar.is-transparent a.navbar-item:focus,html.theme--catppuccin-latte .navbar.is-transparent a.navbar-item:hover,html.theme--catppuccin-latte .navbar.is-transparent a.navbar-item.is-active,html.theme--catppuccin-latte .navbar.is-transparent .navbar-link:focus,html.theme--catppuccin-latte .navbar.is-transparent .navbar-link:hover,html.theme--catppuccin-latte .navbar.is-transparent .navbar-link.is-active{background-color:transparent !important}html.theme--catppuccin-latte .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link,html.theme--catppuccin-latte .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link,html.theme--catppuccin-latte .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within 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.navbar-dropdown.is-boxed,.navbar.is-spaced html.theme--catppuccin-latte .navbar-item.is-hoverable:hover .navbar-dropdown,html.theme--catppuccin-latte .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed{opacity:1;pointer-events:auto;transform:translateY(0)}html.theme--catppuccin-latte .navbar-menu{flex-grow:1;flex-shrink:0}html.theme--catppuccin-latte .navbar-start{justify-content:flex-start;margin-right:auto}html.theme--catppuccin-latte .navbar-end{justify-content:flex-end;margin-left:auto}html.theme--catppuccin-latte .navbar-dropdown{background-color:#1e66f5;border-bottom-left-radius:8px;border-bottom-right-radius:8px;border-top:1px solid rgba(0,0,0,0.2);box-shadow:0 8px 8px rgba(10,10,10,0.1);display:none;font-size:0.875rem;left:0;min-width:100%;position:absolute;top:100%;z-index:20}html.theme--catppuccin-latte .navbar-dropdown .navbar-item{padding:0.375rem 1rem;white-space:nowrap}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item{padding-right:3rem}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item:focus,html.theme--catppuccin-latte .navbar-dropdown a.navbar-item:hover{background-color:rgba(0,0,0,0);color:#8c8fa1}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item.is-active{background-color:rgba(0,0,0,0);color:#1e66f5}.navbar.is-spaced html.theme--catppuccin-latte .navbar-dropdown,html.theme--catppuccin-latte .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--catppuccin-latte .navbar-dropdown.is-right{left:auto;right:0}html.theme--catppuccin-latte .navbar-divider{display:block}html.theme--catppuccin-latte .navbar>.container .navbar-brand,html.theme--catppuccin-latte .container>.navbar .navbar-brand{margin-left:-.75rem}html.theme--catppuccin-latte .navbar>.container .navbar-menu,html.theme--catppuccin-latte .container>.navbar .navbar-menu{margin-right:-.75rem}html.theme--catppuccin-latte .navbar.is-fixed-bottom-desktop,html.theme--catppuccin-latte .navbar.is-fixed-top-desktop{left:0;position:fixed;right:0;z-index:30}html.theme--catppuccin-latte .navbar.is-fixed-bottom-desktop{bottom:0}html.theme--catppuccin-latte .navbar.is-fixed-bottom-desktop.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--catppuccin-latte .navbar.is-fixed-top-desktop{top:0}html.theme--catppuccin-latte html.has-navbar-fixed-top-desktop,html.theme--catppuccin-latte body.has-navbar-fixed-top-desktop{padding-top:4rem}html.theme--catppuccin-latte html.has-navbar-fixed-bottom-desktop,html.theme--catppuccin-latte body.has-navbar-fixed-bottom-desktop{padding-bottom:4rem}html.theme--catppuccin-latte html.has-spaced-navbar-fixed-top,html.theme--catppuccin-latte body.has-spaced-navbar-fixed-top{padding-top:6rem}html.theme--catppuccin-latte html.has-spaced-navbar-fixed-bottom,html.theme--catppuccin-latte body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--catppuccin-latte a.navbar-item.is-active,html.theme--catppuccin-latte .navbar-link.is-active{color:#1e66f5}html.theme--catppuccin-latte a.navbar-item.is-active:not(:focus):not(:hover),html.theme--catppuccin-latte .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--catppuccin-latte .navbar-item.has-dropdown:focus .navbar-link,html.theme--catppuccin-latte .navbar-item.has-dropdown:hover .navbar-link,html.theme--catppuccin-latte .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--catppuccin-latte .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--catppuccin-latte .pagination{font-size:1rem;margin:-.25rem}html.theme--catppuccin-latte .pagination.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--catppuccin-latte .pagination.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .pagination.is-large{font-size:1.5rem}html.theme--catppuccin-latte .pagination.is-rounded .pagination-previous,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination .pagination-previous,html.theme--catppuccin-latte .pagination.is-rounded .pagination-next,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination .pagination-next{padding-left:1em;padding-right:1em;border-radius:9999px}html.theme--catppuccin-latte .pagination.is-rounded .pagination-link,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination .pagination-link{border-radius:9999px}html.theme--catppuccin-latte .pagination,html.theme--catppuccin-latte .pagination-list{align-items:center;display:flex;justify-content:center;text-align:center}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next,html.theme--catppuccin-latte .pagination-link,html.theme--catppuccin-latte .pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next,html.theme--catppuccin-latte .pagination-link{border-color:#acb0be;color:#1e66f5;min-width:2.5em}html.theme--catppuccin-latte .pagination-previous:hover,html.theme--catppuccin-latte .pagination-next:hover,html.theme--catppuccin-latte .pagination-link:hover{border-color:#9ca0b0;color:#04a5e5}html.theme--catppuccin-latte .pagination-previous:focus,html.theme--catppuccin-latte .pagination-next:focus,html.theme--catppuccin-latte .pagination-link:focus{border-color:#9ca0b0}html.theme--catppuccin-latte .pagination-previous:active,html.theme--catppuccin-latte .pagination-next:active,html.theme--catppuccin-latte .pagination-link:active{box-shadow:inset 0 1px 2px rgba(10,10,10,0.2)}html.theme--catppuccin-latte .pagination-previous[disabled],html.theme--catppuccin-latte .pagination-previous.is-disabled,html.theme--catppuccin-latte .pagination-next[disabled],html.theme--catppuccin-latte .pagination-next.is-disabled,html.theme--catppuccin-latte .pagination-link[disabled],html.theme--catppuccin-latte .pagination-link.is-disabled{background-color:#acb0be;border-color:#acb0be;box-shadow:none;color:#616587;opacity:0.5}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next{padding-left:.75em;padding-right:.75em;white-space:nowrap}html.theme--catppuccin-latte .pagination-link.is-current{background-color:#1e66f5;border-color:#1e66f5;color:#fff}html.theme--catppuccin-latte .pagination-ellipsis{color:#9ca0b0;pointer-events:none}html.theme--catppuccin-latte .pagination-list{flex-wrap:wrap}html.theme--catppuccin-latte .pagination-list li{list-style:none}@media screen and (max-width: 768px){html.theme--catppuccin-latte .pagination{flex-wrap:wrap}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .pagination-list li{flex-grow:1;flex-shrink:1}}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .pagination-list{flex-grow:1;flex-shrink:1;justify-content:flex-start;order:1}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next,html.theme--catppuccin-latte .pagination-link,html.theme--catppuccin-latte .pagination-ellipsis{margin-bottom:0;margin-top:0}html.theme--catppuccin-latte .pagination-previous{order:2}html.theme--catppuccin-latte .pagination-next{order:3}html.theme--catppuccin-latte .pagination{justify-content:space-between;margin-bottom:0;margin-top:0}html.theme--catppuccin-latte .pagination.is-centered .pagination-previous{order:1}html.theme--catppuccin-latte .pagination.is-centered .pagination-list{justify-content:center;order:2}html.theme--catppuccin-latte .pagination.is-centered .pagination-next{order:3}html.theme--catppuccin-latte .pagination.is-right .pagination-previous{order:1}html.theme--catppuccin-latte .pagination.is-right .pagination-next{order:2}html.theme--catppuccin-latte .pagination.is-right .pagination-list{justify-content:flex-end;order:3}}html.theme--catppuccin-latte .panel{border-radius:8px;box-shadow:#171717;font-size:1rem}html.theme--catppuccin-latte .panel:not(:last-child){margin-bottom:1.5rem}html.theme--catppuccin-latte .panel.is-white .panel-heading{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .panel.is-white .panel-tabs a.is-active{border-bottom-color:#fff}html.theme--catppuccin-latte .panel.is-white .panel-block.is-active .panel-icon{color:#fff}html.theme--catppuccin-latte .panel.is-black .panel-heading{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .panel.is-black .panel-tabs a.is-active{border-bottom-color:#0a0a0a}html.theme--catppuccin-latte .panel.is-black .panel-block.is-active .panel-icon{color:#0a0a0a}html.theme--catppuccin-latte .panel.is-light .panel-heading{background-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .panel.is-light .panel-tabs a.is-active{border-bottom-color:#f5f5f5}html.theme--catppuccin-latte .panel.is-light .panel-block.is-active .panel-icon{color:#f5f5f5}html.theme--catppuccin-latte .panel.is-dark .panel-heading,html.theme--catppuccin-latte .content kbd.panel .panel-heading{background-color:#ccd0da;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .panel.is-dark .panel-tabs a.is-active,html.theme--catppuccin-latte .content kbd.panel .panel-tabs a.is-active{border-bottom-color:#ccd0da}html.theme--catppuccin-latte .panel.is-dark .panel-block.is-active .panel-icon,html.theme--catppuccin-latte .content kbd.panel .panel-block.is-active .panel-icon{color:#ccd0da}html.theme--catppuccin-latte .panel.is-primary .panel-heading,html.theme--catppuccin-latte .docstring>section>a.panel.docs-sourcelink .panel-heading{background-color:#1e66f5;color:#fff}html.theme--catppuccin-latte .panel.is-primary .panel-tabs a.is-active,html.theme--catppuccin-latte .docstring>section>a.panel.docs-sourcelink .panel-tabs a.is-active{border-bottom-color:#1e66f5}html.theme--catppuccin-latte .panel.is-primary .panel-block.is-active .panel-icon,html.theme--catppuccin-latte .docstring>section>a.panel.docs-sourcelink .panel-block.is-active .panel-icon{color:#1e66f5}html.theme--catppuccin-latte .panel.is-link .panel-heading{background-color:#1e66f5;color:#fff}html.theme--catppuccin-latte .panel.is-link .panel-tabs a.is-active{border-bottom-color:#1e66f5}html.theme--catppuccin-latte .panel.is-link .panel-block.is-active .panel-icon{color:#1e66f5}html.theme--catppuccin-latte .panel.is-info 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kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-dark.is-outlined[disabled],html.theme--catppuccin-macchiato .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-macchiato .content kbd.button.is-outlined{background-color:transparent;border-color:#363a4f;box-shadow:none;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #363a4f #363a4f !important}html.theme--catppuccin-macchiato 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.button.is-link.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-link.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-focused{background-color:#8aadf4;border-color:#8aadf4;color:#fff}html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #8aadf4 #8aadf4 !important}html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-link.is-outlined{background-color:transparent;border-color:#8aadf4;box-shadow:none;color:#8aadf4}html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#8aadf4}html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8aadf4 #8aadf4 !important}html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-link.is-light{background-color:#ecf2fd;color:#0e3b95}html.theme--catppuccin-macchiato .button.is-link.is-light:hover,html.theme--catppuccin-macchiato .button.is-link.is-light.is-hovered{background-color:#e1eafc;border-color:transparent;color:#0e3b95}html.theme--catppuccin-macchiato .button.is-link.is-light:active,html.theme--catppuccin-macchiato .button.is-link.is-light.is-active{background-color:#d5e2fb;border-color:transparent;color:#0e3b95}html.theme--catppuccin-macchiato 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.button.is-info{background-color:#8bd5ca;border-color:#8bd5ca;box-shadow:none}html.theme--catppuccin-macchiato .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined{background-color:transparent;border-color:#8bd5ca;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-focused{background-color:#8bd5ca;border-color:#8bd5ca;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-outlined{background-color:transparent;border-color:#8bd5ca;box-shadow:none;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-light{background-color:#f0faf8;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:hover,html.theme--catppuccin-macchiato .button.is-info.is-light.is-hovered{background-color:#e7f6f4;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:active,html.theme--catppuccin-macchiato .button.is-info.is-light.is-active{background-color:#ddf3f0;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:hover,html.theme--catppuccin-macchiato .button.is-success.is-hovered{background-color:#9ed78c;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus,html.theme--catppuccin-macchiato .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus:not(:active),html.theme--catppuccin-macchiato .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,218,149,0.25)}html.theme--catppuccin-macchiato .button.is-success:active,html.theme--catppuccin-macchiato .button.is-success.is-active{background-color:#96d382;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:#a6da95;box-shadow:none}html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-focused{background-color:#a6da95;border-color:#a6da95;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-light{background-color:#f2faf0;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:hover,html.theme--catppuccin-macchiato .button.is-success.is-light.is-hovered{background-color:#eaf6e6;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:active,html.theme--catppuccin-macchiato .button.is-success.is-light.is-active{background-color:#e2f3dd;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:hover,html.theme--catppuccin-macchiato .button.is-warning.is-hovered{background-color:#eccf94;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus,html.theme--catppuccin-macchiato .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus:not(:active),html.theme--catppuccin-macchiato .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(238,212,159,0.25)}html.theme--catppuccin-macchiato .button.is-warning:active,html.theme--catppuccin-macchiato .button.is-warning.is-active{background-color:#eaca89;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:#eed49f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-focused{background-color:#eed49f;border-color:#eed49f;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-light{background-color:#fcf7ee;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:hover,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-hovered{background-color:#faf2e3;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:active,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-active{background-color:#f8eed8;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:hover,html.theme--catppuccin-macchiato .button.is-danger.is-hovered{background-color:#eb7c8c;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus,html.theme--catppuccin-macchiato .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus:not(:active),html.theme--catppuccin-macchiato .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(237,135,150,0.25)}html.theme--catppuccin-macchiato .button.is-danger:active,html.theme--catppuccin-macchiato .button.is-danger.is-active{background-color:#ea7183;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:#ed8796;box-shadow:none}html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-outlined:hover,html.theme--catppuccin-macchiato 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.button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-light{background-color:#fcedef;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:hover,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-hovered{background-color:#fbe2e6;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:active,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-active{background-color:#f9d7dc;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-small:not(.is-rounded),html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .button.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .button.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .button.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button{background-color:#6e738d;border-color:#5b6078;box-shadow:none;opacity:.5}html.theme--catppuccin-macchiato .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-macchiato .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-macchiato .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-macchiato .button.is-static{background-color:#1e2030;border-color:#5b6078;color:#8087a2;box-shadow:none;pointer-events:none}html.theme--catppuccin-macchiato .button.is-rounded,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-macchiato .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-macchiato .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-macchiato .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-macchiato .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-macchiato .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-macchiato .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-macchiato .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-macchiato .buttons.has-addons .button:focus,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-focused,html.theme--catppuccin-macchiato .buttons.has-addons .button:active,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-active,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-macchiato .buttons.has-addons .button:focus:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button:active:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-macchiato .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-macchiato .buttons.is-centered{justify-content:center}html.theme--catppuccin-macchiato .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-macchiato .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-macchiato .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-macchiato .button.is-responsive.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-macchiato .button.is-responsive,html.theme--catppuccin-macchiato .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-macchiato .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-macchiato .button.is-responsive.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-macchiato .button.is-responsive,html.theme--catppuccin-macchiato .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-macchiato .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-macchiato .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-macchiato .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-macchiato .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-macchiato .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-macchiato .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-macchiato .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-macchiato .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-macchiato .content li+li{margin-top:0.25em}html.theme--catppuccin-macchiato .content p:not(:last-child),html.theme--catppuccin-macchiato .content dl:not(:last-child),html.theme--catppuccin-macchiato .content ol:not(:last-child),html.theme--catppuccin-macchiato .content ul:not(:last-child),html.theme--catppuccin-macchiato .content blockquote:not(:last-child),html.theme--catppuccin-macchiato .content pre:not(:last-child),html.theme--catppuccin-macchiato .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-macchiato .content h1,html.theme--catppuccin-macchiato .content h2,html.theme--catppuccin-macchiato .content h3,html.theme--catppuccin-macchiato .content h4,html.theme--catppuccin-macchiato .content h5,html.theme--catppuccin-macchiato .content h6{color:#cad3f5;font-weight:600;line-height:1.125}html.theme--catppuccin-macchiato .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-macchiato .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-macchiato .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-macchiato .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-macchiato .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-macchiato .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-macchiato .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-macchiato .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-macchiato .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-macchiato .content blockquote{background-color:#1e2030;border-left:5px solid #5b6078;padding:1.25em 1.5em}html.theme--catppuccin-macchiato .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-macchiato .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-macchiato .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-macchiato .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-macchiato .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-macchiato .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-macchiato .content ul ul ul{list-style-type:square}html.theme--catppuccin-macchiato .content dd{margin-left:2em}html.theme--catppuccin-macchiato .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-macchiato .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-macchiato .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-macchiato .content figure img{display:inline-block}html.theme--catppuccin-macchiato .content figure figcaption{font-style:italic}html.theme--catppuccin-macchiato .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-macchiato .content sup,html.theme--catppuccin-macchiato .content sub{font-size:75%}html.theme--catppuccin-macchiato .content table{width:100%}html.theme--catppuccin-macchiato .content table td,html.theme--catppuccin-macchiato .content table th{border:1px solid #5b6078;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-macchiato .content table th{color:#b5c1f1}html.theme--catppuccin-macchiato .content table th:not([align]){text-align:inherit}html.theme--catppuccin-macchiato .content table thead td,html.theme--catppuccin-macchiato .content table thead th{border-width:0 0 2px;color:#b5c1f1}html.theme--catppuccin-macchiato .content table tfoot td,html.theme--catppuccin-macchiato .content table tfoot th{border-width:2px 0 0;color:#b5c1f1}html.theme--catppuccin-macchiato .content table tbody tr:last-child td,html.theme--catppuccin-macchiato .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-macchiato .content .tabs li+li{margin-top:0}html.theme--catppuccin-macchiato .content.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-macchiato .content.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .content.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .content.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-macchiato .icon.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-macchiato .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-macchiato .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-macchiato .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-macchiato .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-macchiato .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-macchiato .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-macchiato div.icon-text{display:flex}html.theme--catppuccin-macchiato .image,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-macchiato .image img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-macchiato .image img.is-rounded,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-macchiato .image.is-fullwidth,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-macchiato .image.is-square img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-macchiato .image.is-square .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-macchiato .image.is-1by1 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--catppuccin-macchiato .image.is-1by1 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--catppuccin-macchiato .image.is-5by4 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--catppuccin-macchiato .image.is-5by4 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--catppuccin-macchiato .image.is-4by3 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--catppuccin-macchiato .image.is-4by3 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--catppuccin-macchiato .image.is-3by2 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--catppuccin-macchiato .image.is-3by2 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--catppuccin-macchiato .image.is-5by3 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-macchiato .image.is-5by3 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-macchiato .image.is-16by9 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-macchiato .image.is-16by9 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-macchiato .image.is-2by1 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-macchiato .image.is-2by1 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-macchiato .image.is-3by1 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-macchiato .image.is-3by1 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-3by1 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select[disabled]:-moz-placeholder,html.theme--catppuccin-macchiato .textarea[disabled]:-moz-placeholder,html.theme--catppuccin-macchiato .input[disabled]:-moz-placeholder,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input[disabled]:-moz-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .select select:-moz-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .textarea:-moz-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .input:-moz-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input:-moz-placeholder{color:rgba(245,247,253,0.3)}html.theme--catppuccin-macchiato .select select[disabled]:-ms-input-placeholder,html.theme--catppuccin-macchiato .textarea[disabled]:-ms-input-placeholder,html.theme--catppuccin-macchiato .input[disabled]:-ms-input-placeholder,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input[disabled]:-ms-input-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .select select:-ms-input-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .textarea:-ms-input-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .input:-ms-input-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input:-ms-input-placeholder{color:rgba(245,247,253,0.3)}html.theme--catppuccin-macchiato .textarea,html.theme--catppuccin-macchiato .input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input{box-shadow:inset 0 0.0625em 0.125em rgba(10,10,10,0.05);max-width:100%;width:100%}html.theme--catppuccin-macchiato .textarea[readonly],html.theme--catppuccin-macchiato .input[readonly],html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input[readonly]{box-shadow:none}html.theme--catppuccin-macchiato 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form.docs-search>input.is-active{box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-macchiato .is-black.textarea,html.theme--catppuccin-macchiato .is-black.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black{border-color:#0a0a0a}html.theme--catppuccin-macchiato .is-black.textarea:focus,html.theme--catppuccin-macchiato .is-black.input:focus,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:focus,html.theme--catppuccin-macchiato .is-black.is-focused.textarea,html.theme--catppuccin-macchiato .is-black.is-focused.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-focused,html.theme--catppuccin-macchiato .is-black.textarea:active,html.theme--catppuccin-macchiato .is-black.input:active,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:active,html.theme--catppuccin-macchiato 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kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .content 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html.theme--catppuccin-mocha .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-link.is-light{background-color:#ebf3fe;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:hover,html.theme--catppuccin-mocha .button.is-link.is-light.is-hovered{background-color:#dfebfe;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:active,html.theme--catppuccin-mocha .button.is-link.is-light.is-active{background-color:#d3e3fd;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:hover,html.theme--catppuccin-mocha .button.is-info.is-hovered{background-color:#8adfd1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus,html.theme--catppuccin-mocha .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus:not(:active),html.theme--catppuccin-mocha .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(148,226,213,0.25)}html.theme--catppuccin-mocha .button.is-info:active,html.theme--catppuccin-mocha .button.is-info.is-active{background-color:#80ddcd;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:#94e2d5;box-shadow:none}html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-focused{background-color:#94e2d5;border-color:#94e2d5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-light{background-color:#effbf9;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:hover,html.theme--catppuccin-mocha .button.is-info.is-light.is-hovered{background-color:#e5f8f5;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:active,html.theme--catppuccin-mocha .button.is-info.is-light.is-active{background-color:#dbf5f1;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:hover,html.theme--catppuccin-mocha .button.is-success.is-hovered{background-color:#9de097;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus,html.theme--catppuccin-mocha .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus:not(:active),html.theme--catppuccin-mocha .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,227,161,0.25)}html.theme--catppuccin-mocha .button.is-success:active,html.theme--catppuccin-mocha .button.is-success.is-active{background-color:#93dd8d;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:#a6e3a1;box-shadow:none}html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-focused{background-color:#a6e3a1;border-color:#a6e3a1;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-light{background-color:#f0faef;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:hover,html.theme--catppuccin-mocha .button.is-success.is-light.is-hovered{background-color:#e7f7e5;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:active,html.theme--catppuccin-mocha .button.is-success.is-light.is-active{background-color:#def4dc;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:hover,html.theme--catppuccin-mocha .button.is-warning.is-hovered{background-color:#f8dea3;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus,html.theme--catppuccin-mocha .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus:not(:active),html.theme--catppuccin-mocha .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(249,226,175,0.25)}html.theme--catppuccin-mocha .button.is-warning:active,html.theme--catppuccin-mocha .button.is-warning.is-active{background-color:#f7d997;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:#f9e2af;box-shadow:none}html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-focused{background-color:#f9e2af;border-color:#f9e2af;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-light{background-color:#fef8ec;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:hover,html.theme--catppuccin-mocha .button.is-warning.is-light.is-hovered{background-color:#fdf4e0;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:active,html.theme--catppuccin-mocha .button.is-warning.is-light.is-active{background-color:#fcf0d4;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:hover,html.theme--catppuccin-mocha .button.is-danger.is-hovered{background-color:#f27f9f;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus,html.theme--catppuccin-mocha .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus:not(:active),html.theme--catppuccin-mocha .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(243,139,168,0.25)}html.theme--catppuccin-mocha .button.is-danger:active,html.theme--catppuccin-mocha .button.is-danger.is-active{background-color:#f17497;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:#f38ba8;box-shadow:none}html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-focused{background-color:#f38ba8;border-color:#f38ba8;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-light{background-color:#fdedf1;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:hover,html.theme--catppuccin-mocha .button.is-danger.is-light.is-hovered{background-color:#fce1e8;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:active,html.theme--catppuccin-mocha .button.is-danger.is-light.is-active{background-color:#fbd5e0;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-mocha .button.is-small:not(.is-rounded),html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .button.is-normal{font-size:1rem}html.theme--catppuccin-mocha .button.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .button.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button{background-color:#6c7086;border-color:#585b70;box-shadow:none;opacity:.5}html.theme--catppuccin-mocha .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-mocha .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-mocha .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-mocha .button.is-static{background-color:#181825;border-color:#585b70;color:#7f849c;box-shadow:none;pointer-events:none}html.theme--catppuccin-mocha .button.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-mocha .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-mocha .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-mocha .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-mocha .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-mocha .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-mocha .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-mocha .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-mocha .buttons.has-addons .button:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-mocha .buttons.has-addons .button:focus,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused,html.theme--catppuccin-mocha .buttons.has-addons .button:active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-mocha .buttons.has-addons .button:focus:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-mocha .buttons.has-addons .button:active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-mocha .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-mocha .buttons.is-centered{justify-content:center}html.theme--catppuccin-mocha .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-mocha .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-mocha .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-mocha .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-mocha .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-mocha .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-mocha .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-mocha .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-mocha .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-mocha .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-mocha .content li+li{margin-top:0.25em}html.theme--catppuccin-mocha .content p:not(:last-child),html.theme--catppuccin-mocha .content dl:not(:last-child),html.theme--catppuccin-mocha .content ol:not(:last-child),html.theme--catppuccin-mocha .content ul:not(:last-child),html.theme--catppuccin-mocha .content blockquote:not(:last-child),html.theme--catppuccin-mocha .content pre:not(:last-child),html.theme--catppuccin-mocha .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-mocha .content h1,html.theme--catppuccin-mocha .content h2,html.theme--catppuccin-mocha .content h3,html.theme--catppuccin-mocha .content h4,html.theme--catppuccin-mocha .content h5,html.theme--catppuccin-mocha .content h6{color:#cdd6f4;font-weight:600;line-height:1.125}html.theme--catppuccin-mocha .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-mocha .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-mocha .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-mocha .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-mocha .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-mocha .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-mocha .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-mocha .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-mocha .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-mocha .content blockquote{background-color:#181825;border-left:5px solid #585b70;padding:1.25em 1.5em}html.theme--catppuccin-mocha .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-mocha .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-mocha .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-mocha .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-mocha .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-mocha .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-mocha .content ul ul ul{list-style-type:square}html.theme--catppuccin-mocha .content dd{margin-left:2em}html.theme--catppuccin-mocha .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-mocha .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-mocha .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-mocha .content figure img{display:inline-block}html.theme--catppuccin-mocha .content figure figcaption{font-style:italic}html.theme--catppuccin-mocha .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-mocha .content sup,html.theme--catppuccin-mocha .content sub{font-size:75%}html.theme--catppuccin-mocha .content table{width:100%}html.theme--catppuccin-mocha .content table 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.content.is-normal{font-size:1rem}html.theme--catppuccin-mocha .content.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .content.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-mocha .icon.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-mocha .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-mocha .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-mocha .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-mocha .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-mocha .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-mocha .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-mocha div.icon-text{display:flex}html.theme--catppuccin-mocha .image,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-mocha .image img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-mocha .image img.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-mocha .image.is-fullwidth,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-mocha .image.is-square img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-mocha .image.is-square .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-mocha .image.is-1by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar 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.has-ratio,html.theme--catppuccin-mocha .image.is-5by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-mocha .image.is-5by3 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-mocha .image.is-16by9 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-mocha .image.is-16by9 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-mocha .image.is-2by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-mocha .image.is-2by1 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-mocha .image.is-3by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-mocha 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img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-mocha .image.is-3by5 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-mocha .image.is-9by16 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-mocha .image.is-9by16 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-mocha .image.is-1by2 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-mocha .image.is-1by2 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-mocha .image.is-1by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-mocha .image.is-1by3 .has-ratio,html.theme--catppuccin-mocha 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Can be included in any rule that should render Font Awesome icons. */ -@keyframes spinAround { - from { - transform: rotate(0deg); } - to { - transform: rotate(359deg); } } - -html.theme--documenter-dark .tabs, html.theme--documenter-dark .pagination-previous, -html.theme--documenter-dark .pagination-next, -html.theme--documenter-dark .pagination-link, -html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .breadcrumb, html.theme--documenter-dark .file, html.theme--documenter-dark .button, .is-unselectable, html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete { - -webkit-touch-callout: none; - -webkit-user-select: none; - -moz-user-select: none; - -ms-user-select: none; - user-select: none; } - -html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after, html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after { - border: 3px solid transparent; - border-radius: 2px; - border-right: 0; - border-top: 0; - content: " "; - display: block; - height: 0.625em; - margin-top: -0.4375em; - pointer-events: none; - position: absolute; - top: 50%; - transform: rotate(-45deg); - transform-origin: center; - width: 0.625em; } - -html.theme--documenter-dark .admonition:not(:last-child), html.theme--documenter-dark .tabs:not(:last-child), html.theme--documenter-dark .message:not(:last-child), html.theme--documenter-dark .list:not(:last-child), html.theme--documenter-dark .level:not(:last-child), html.theme--documenter-dark .breadcrumb:not(:last-child), html.theme--documenter-dark .highlight:not(:last-child), html.theme--documenter-dark .block:not(:last-child), html.theme--documenter-dark .title:not(:last-child), -html.theme--documenter-dark .subtitle:not(:last-child), html.theme--documenter-dark .table-container:not(:last-child), html.theme--documenter-dark .table:not(:last-child), html.theme--documenter-dark .progress:not(:last-child), html.theme--documenter-dark .notification:not(:last-child), html.theme--documenter-dark .content:not(:last-child), html.theme--documenter-dark .box:not(:last-child) { - margin-bottom: 1.5rem; } - -html.theme--documenter-dark .modal-close, html.theme--documenter-dark .delete { - -moz-appearance: none; - -webkit-appearance: none; - background-color: rgba(10, 10, 10, 0.2); - border: none; - border-radius: 290486px; - cursor: pointer; - pointer-events: auto; - display: inline-block; - flex-grow: 0; - flex-shrink: 0; - font-size: 0; - height: 20px; - max-height: 20px; - max-width: 20px; - min-height: 20px; - min-width: 20px; - outline: none; - position: relative; - vertical-align: top; - width: 20px; } - html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before, html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after { - background-color: white; - content: ""; - display: block; - left: 50%; - position: absolute; - top: 50%; - transform: translateX(-50%) translateY(-50%) rotate(45deg); - transform-origin: center center; } - html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::before { - height: 2px; - width: 50%; } - html.theme--documenter-dark .modal-close::after, html.theme--documenter-dark .delete::after { - height: 50%; - width: 2px; } - html.theme--documenter-dark .modal-close:hover, html.theme--documenter-dark .delete:hover, html.theme--documenter-dark .modal-close:focus, html.theme--documenter-dark .delete:focus { - background-color: rgba(10, 10, 10, 0.3); } - html.theme--documenter-dark .modal-close:active, html.theme--documenter-dark .delete:active { - background-color: rgba(10, 10, 10, 0.4); } - html.theme--documenter-dark .is-small.modal-close, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.modal-close, html.theme--documenter-dark .is-small.delete, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.delete { - height: 16px; - max-height: 16px; - max-width: 16px; - min-height: 16px; - min-width: 16px; - width: 16px; } - html.theme--documenter-dark .is-medium.modal-close, html.theme--documenter-dark .is-medium.delete { - height: 24px; - max-height: 24px; - max-width: 24px; - min-height: 24px; - min-width: 24px; - width: 24px; } - html.theme--documenter-dark .is-large.modal-close, html.theme--documenter-dark .is-large.delete { - height: 32px; - max-height: 32px; - max-width: 32px; - min-height: 32px; - min-width: 32px; - width: 32px; } - -html.theme--documenter-dark .control.is-loading::after, html.theme--documenter-dark .select.is-loading::after, html.theme--documenter-dark .loader, html.theme--documenter-dark .button.is-loading::after { - animation: spinAround 500ms infinite linear; - border: 2px solid #dbdee0; - border-radius: 290486px; - border-right-color: transparent; - border-top-color: transparent; - content: ""; - display: block; - height: 1em; - position: relative; - width: 1em; } - -html.theme--documenter-dark .hero-video, html.theme--documenter-dark .modal-background, html.theme--documenter-dark .modal, html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img, -html.theme--documenter-dark .image.is-square .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img, -html.theme--documenter-dark .image.is-1by1 .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img, -html.theme--documenter-dark .image.is-5by4 .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img, -html.theme--documenter-dark .image.is-4by3 .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img, -html.theme--documenter-dark .image.is-3by2 .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img, -html.theme--documenter-dark .image.is-5by3 .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img, -html.theme--documenter-dark .image.is-16by9 .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img, -html.theme--documenter-dark .image.is-2by1 .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img, -html.theme--documenter-dark .image.is-3by1 .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img, -html.theme--documenter-dark .image.is-4by5 .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img, -html.theme--documenter-dark .image.is-3by4 .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img, -html.theme--documenter-dark .image.is-2by3 .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img, -html.theme--documenter-dark .image.is-3by5 .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img, -html.theme--documenter-dark .image.is-9by16 .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img, -html.theme--documenter-dark .image.is-1by2 .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img, -html.theme--documenter-dark .image.is-1by3 .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay { - bottom: 0; - left: 0; - position: absolute; - right: 0; - top: 0; } - -html.theme--documenter-dark .pagination-previous, -html.theme--documenter-dark .pagination-next, -html.theme--documenter-dark .pagination-link, -html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .file-cta, 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.file-cta:focus, - html.theme--documenter-dark .file-name:focus, html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .button:focus, html.theme--documenter-dark .is-focused.pagination-previous, - html.theme--documenter-dark .is-focused.pagination-next, - html.theme--documenter-dark .is-focused.pagination-link, - html.theme--documenter-dark .is-focused.pagination-ellipsis, html.theme--documenter-dark .is-focused.file-cta, - html.theme--documenter-dark .is-focused.file-name, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-focused.button, html.theme--documenter-dark .pagination-previous:active, - html.theme--documenter-dark .pagination-next:active, - html.theme--documenter-dark .pagination-link:active, - html.theme--documenter-dark .pagination-ellipsis:active, html.theme--documenter-dark .file-cta:active, - html.theme--documenter-dark .file-name:active, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .button:active, html.theme--documenter-dark .is-active.pagination-previous, - html.theme--documenter-dark .is-active.pagination-next, - html.theme--documenter-dark .is-active.pagination-link, - html.theme--documenter-dark .is-active.pagination-ellipsis, html.theme--documenter-dark .is-active.file-cta, - html.theme--documenter-dark .is-active.file-name, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .is-active.button { - outline: none; } - html.theme--documenter-dark .pagination-previous[disabled], - html.theme--documenter-dark .pagination-next[disabled], - html.theme--documenter-dark .pagination-link[disabled], - html.theme--documenter-dark .pagination-ellipsis[disabled], html.theme--documenter-dark .file-cta[disabled], - html.theme--documenter-dark .file-name[disabled], html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .pagination-previous, html.theme--documenter-dark fieldset[disabled] .pagination-previous, - fieldset[disabled] html.theme--documenter-dark .pagination-next, - html.theme--documenter-dark fieldset[disabled] .pagination-next, - fieldset[disabled] html.theme--documenter-dark .pagination-link, - html.theme--documenter-dark fieldset[disabled] .pagination-link, - fieldset[disabled] html.theme--documenter-dark .pagination-ellipsis, - html.theme--documenter-dark fieldset[disabled] .pagination-ellipsis, fieldset[disabled] html.theme--documenter-dark .file-cta, html.theme--documenter-dark fieldset[disabled] .file-cta, - fieldset[disabled] html.theme--documenter-dark .file-name, - html.theme--documenter-dark fieldset[disabled] .file-name, fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark fieldset[disabled] .select select, html.theme--documenter-dark .select fieldset[disabled] select, html.theme--documenter-dark fieldset[disabled] .textarea, html.theme--documenter-dark fieldset[disabled] .input, html.theme--documenter-dark fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] html.theme--documenter-dark .button, html.theme--documenter-dark fieldset[disabled] .button { - cursor: not-allowed; } - -/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */ -html, -body, -p, -ol, -ul, -li, -dl, -dt, -dd, -blockquote, -figure, -fieldset, -legend, -textarea, -pre, -iframe, -hr, -h1, -h2, -h3, -h4, -h5, -h6 { - margin: 0; - padding: 0; } - -h1, -h2, -h3, -h4, -h5, -h6 { - font-size: 100%; - font-weight: normal; } - -ul { - list-style: none; } - -button, -input, -select, -textarea { - margin: 0; } - -html { - box-sizing: border-box; } - -*, *::before, *::after { 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Theme: a11y-dark Author: @ericwbailey Maintainer: @ericwbailey Based on the Tomorrow Night Eighties theme: https://github.com/isagalaev/highlight.js/blob/master/src/styles/tomorrow-night-eighties.css -*/ - /* Comment */ - /* Red */ - /* Orange */ - /* Yellow */ - /* Green */ - /* Blue */ - /* Purple */ } - html.theme--documenter-dark html { - background-color: #1f2424; - font-size: 16px; - -moz-osx-font-smoothing: grayscale; - -webkit-font-smoothing: antialiased; - min-width: 300px; - overflow-x: auto; - overflow-y: scroll; - text-rendering: optimizeLegibility; - text-size-adjust: 100%; } - html.theme--documenter-dark article, - html.theme--documenter-dark aside, - html.theme--documenter-dark figure, - html.theme--documenter-dark footer, - html.theme--documenter-dark header, - html.theme--documenter-dark hgroup, - html.theme--documenter-dark section { - display: block; } - html.theme--documenter-dark body, - html.theme--documenter-dark button, - html.theme--documenter-dark input, - html.theme--documenter-dark select, - html.theme--documenter-dark textarea { - font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; } - html.theme--documenter-dark code, - html.theme--documenter-dark pre { - -moz-osx-font-smoothing: auto; - -webkit-font-smoothing: auto; - font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; } - html.theme--documenter-dark body { - color: #fff; - font-size: 1em; - font-weight: 400; - line-height: 1.5; } - html.theme--documenter-dark a { - color: #1abc9c; - cursor: pointer; - text-decoration: none; } - html.theme--documenter-dark a strong { - color: currentColor; } - html.theme--documenter-dark a:hover { - color: #1dd2af; } - html.theme--documenter-dark code { - background-color: rgba(255, 255, 255, 0.05); - color: #ececec; - font-size: 0.875em; - font-weight: normal; - padding: 0.1em; } - html.theme--documenter-dark hr { - background-color: #282f2f; - border: none; - display: block; - height: 2px; - margin: 1.5rem 0; } - html.theme--documenter-dark img { - height: auto; - max-width: 100%; } - html.theme--documenter-dark input[type="checkbox"], - html.theme--documenter-dark input[type="radio"] { - vertical-align: baseline; } - html.theme--documenter-dark small { - font-size: 0.875em; } - html.theme--documenter-dark span { - font-style: inherit; - font-weight: inherit; } - html.theme--documenter-dark strong { - color: #f2f2f2; - font-weight: 700; } - html.theme--documenter-dark fieldset { - border: none; } - html.theme--documenter-dark pre { - -webkit-overflow-scrolling: touch; - background-color: #282f2f; - color: #fff; - font-size: 0.875em; - overflow-x: auto; - padding: 1.25rem 1.5rem; - white-space: pre; - word-wrap: normal; } - html.theme--documenter-dark pre code { - background-color: transparent; - color: currentColor; - font-size: 1em; - padding: 0; } - html.theme--documenter-dark table td, - html.theme--documenter-dark table th { - vertical-align: top; } - html.theme--documenter-dark table td:not([align]), - html.theme--documenter-dark table th:not([align]) { - text-align: left; } - html.theme--documenter-dark table th { - color: #f2f2f2; } - html.theme--documenter-dark .box { - background-color: #343c3d; - border-radius: 8px; - box-shadow: none; - color: #fff; - display: block; - padding: 1.25rem; } - html.theme--documenter-dark a.box:hover, html.theme--documenter-dark a.box:focus { - box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #1abc9c; } - html.theme--documenter-dark a.box:active { - box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #1abc9c; } - html.theme--documenter-dark .button { - background-color: #282f2f; - border-color: #4c5759; - border-width: 1px; - color: #375a7f; - cursor: pointer; - justify-content: center; - padding-bottom: calc(0.375em - 1px); - padding-left: 0.75em; - padding-right: 0.75em; - padding-top: calc(0.375em - 1px); - 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html.theme--documenter-dark .button.is-text:active, html.theme--documenter-dark .button.is-text.is-active { - background-color: #1d2122; - color: #f2f2f2; } - html.theme--documenter-dark .button.is-text[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-text { - background-color: transparent; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-white { - background-color: white; - border-color: transparent; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-white:hover, html.theme--documenter-dark .button.is-white.is-hovered { - background-color: #f9f9f9; - border-color: transparent; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-white:focus, html.theme--documenter-dark .button.is-white.is-focused { - border-color: transparent; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-white:focus:not(:active), html.theme--documenter-dark .button.is-white.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } - html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white.is-active { - background-color: #f2f2f2; - border-color: transparent; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-white[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white { - background-color: white; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-white.is-inverted { - background-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .button.is-white.is-inverted:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-hovered { - background-color: black; } - html.theme--documenter-dark .button.is-white.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted { - background-color: #0a0a0a; - border-color: transparent; - box-shadow: none; - color: white; } - html.theme--documenter-dark 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html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #0a0a0a #0a0a0a !important; } - html.theme--documenter-dark .button.is-white.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined { - background-color: transparent; - border-color: white; - box-shadow: none; - color: white; } - html.theme--documenter-dark .button.is-white.is-inverted.is-outlined { - background-color: transparent; - border-color: #0a0a0a; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused { - background-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent white white !important; } - html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined { - background-color: transparent; - border-color: #0a0a0a; - box-shadow: none; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-black { - background-color: #0a0a0a; - border-color: transparent; - color: white; } - html.theme--documenter-dark .button.is-black:hover, html.theme--documenter-dark .button.is-black.is-hovered { - background-color: #040404; - border-color: transparent; - color: white; } - html.theme--documenter-dark .button.is-black:focus, html.theme--documenter-dark .button.is-black.is-focused { - border-color: transparent; - color: white; } - html.theme--documenter-dark .button.is-black:focus:not(:active), html.theme--documenter-dark .button.is-black.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } - html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black.is-active { - background-color: black; - border-color: transparent; - color: white; } - html.theme--documenter-dark .button.is-black[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black { - background-color: #0a0a0a; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-black.is-inverted { - background-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-black.is-inverted:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-hovered { - background-color: #f2f2f2; } - html.theme--documenter-dark .button.is-black.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted { - background-color: white; - border-color: transparent; - box-shadow: none; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-black.is-loading::after { - border-color: transparent transparent white white !important; } - html.theme--documenter-dark .button.is-black.is-outlined { - background-color: transparent; - border-color: #0a0a0a; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-black.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-outlined.is-focused { - background-color: #0a0a0a; - border-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after { - border-color: transparent transparent #0a0a0a #0a0a0a !important; } - html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent white white !important; } - html.theme--documenter-dark .button.is-black.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined { - background-color: transparent; - border-color: #0a0a0a; - box-shadow: none; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-black.is-inverted.is-outlined { - background-color: transparent; - border-color: white; - color: white; } - html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused { - background-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #0a0a0a #0a0a0a !important; } - html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined { - background-color: transparent; - border-color: white; - box-shadow: none; - color: white; } - html.theme--documenter-dark .button.is-light { - background-color: #ecf0f1; - border-color: transparent; - color: #282f2f; } - html.theme--documenter-dark .button.is-light:hover, html.theme--documenter-dark .button.is-light.is-hovered { - background-color: #e5eaec; - border-color: transparent; - color: #282f2f; } - html.theme--documenter-dark .button.is-light:focus, html.theme--documenter-dark .button.is-light.is-focused { - border-color: transparent; - color: #282f2f; } - html.theme--documenter-dark .button.is-light:focus:not(:active), html.theme--documenter-dark .button.is-light.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); } - html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light.is-active { - background-color: #dde4e6; - border-color: transparent; - color: #282f2f; } - html.theme--documenter-dark .button.is-light[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light { - background-color: #ecf0f1; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-light.is-inverted { - background-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-light.is-inverted:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-hovered { - background-color: #1d2122; } - html.theme--documenter-dark .button.is-light.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted { - background-color: #282f2f; - border-color: transparent; - box-shadow: none; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-light.is-loading::after { - border-color: transparent transparent #282f2f #282f2f !important; } - html.theme--documenter-dark .button.is-light.is-outlined { - background-color: transparent; - border-color: #ecf0f1; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-light.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-outlined.is-focused { - background-color: #ecf0f1; - border-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after { - border-color: transparent transparent #ecf0f1 #ecf0f1 !important; } - html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #282f2f #282f2f !important; } - html.theme--documenter-dark .button.is-light.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined { - background-color: transparent; - border-color: #ecf0f1; - box-shadow: none; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-light.is-inverted.is-outlined { - background-color: transparent; - border-color: #282f2f; - color: #282f2f; } - html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused { - background-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #ecf0f1 #ecf0f1 !important; } - html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined { - background-color: transparent; - border-color: #282f2f; - box-shadow: none; - color: #282f2f; } - html.theme--documenter-dark .button.is-dark, html.theme--documenter-dark .content kbd.button { - background-color: #282f2f; - border-color: transparent; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover, html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered { - background-color: #232829; - border-color: transparent; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused { - border-color: transparent; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-dark:focus:not(:active), html.theme--documenter-dark .content kbd.button:focus:not(:active), html.theme--documenter-dark .button.is-dark.is-focused:not(:active), html.theme--documenter-dark .content kbd.button.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); } - html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active { - background-color: #1d2122; - border-color: transparent; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-dark[disabled], html.theme--documenter-dark .content kbd.button[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark, fieldset[disabled] html.theme--documenter-dark .content kbd.button { - background-color: #282f2f; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-dark.is-inverted, html.theme--documenter-dark .content kbd.button.is-inverted { - background-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .button.is-dark.is-inverted:hover, html.theme--documenter-dark .content kbd.button.is-inverted:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered { - background-color: #dde4e6; } - html.theme--documenter-dark .button.is-dark.is-inverted[disabled], html.theme--documenter-dark .content kbd.button.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted { - background-color: #ecf0f1; - border-color: transparent; - box-shadow: none; - color: #282f2f; } - html.theme--documenter-dark .button.is-dark.is-loading::after, html.theme--documenter-dark .content kbd.button.is-loading::after { - border-color: transparent transparent #ecf0f1 #ecf0f1 !important; } - html.theme--documenter-dark .button.is-dark.is-outlined, html.theme--documenter-dark .content kbd.button.is-outlined { - background-color: transparent; - border-color: #282f2f; - color: #282f2f; } - html.theme--documenter-dark .button.is-dark.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-outlined.is-focused { - background-color: #282f2f; - border-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after { - border-color: transparent transparent #282f2f #282f2f !important; } - html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #ecf0f1 #ecf0f1 !important; } - html.theme--documenter-dark .button.is-dark.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined { - background-color: transparent; - border-color: #282f2f; - box-shadow: none; - color: #282f2f; } - html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined { - background-color: transparent; - border-color: #ecf0f1; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused { - background-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #282f2f #282f2f !important; } - html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined { - background-color: transparent; - border-color: #ecf0f1; - box-shadow: none; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-primary, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink { - background-color: #375a7f; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink { - background-color: #335476; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink { - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-primary:focus:not(:active), html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus:not(:active), html.theme--documenter-dark .button.is-primary.is-focused:not(:active), html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) { - box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); } - html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink { - background-color: #2f4d6d; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-primary[disabled], html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink { - background-color: #375a7f; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-primary.is-inverted, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink { - background-color: #fff; - color: #375a7f; } - html.theme--documenter-dark .button.is-primary.is-inverted:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink { - background-color: #f2f2f2; } - html.theme--documenter-dark .button.is-primary.is-inverted[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #375a7f; } - html.theme--documenter-dark .button.is-primary.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-loading.docs-sourcelink::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-primary.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink { - background-color: transparent; - border-color: #375a7f; - color: #375a7f; } - html.theme--documenter-dark .button.is-primary.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink { - background-color: #375a7f; - border-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after { - border-color: transparent transparent #375a7f #375a7f !important; } - html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-primary.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink { - background-color: transparent; - border-color: #375a7f; - box-shadow: none; - color: #375a7f; } - html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink { - background-color: transparent; - border-color: #fff; - color: #fff; } - html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink { - background-color: #fff; - color: #375a7f; } - html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after { - border-color: transparent transparent #375a7f #375a7f !important; } - html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - html.theme--documenter-dark .button.is-link { - background-color: #1abc9c; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-link:hover, html.theme--documenter-dark .button.is-link.is-hovered { - background-color: #18b193; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-link:focus, html.theme--documenter-dark .button.is-link.is-focused { - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-link:focus:not(:active), html.theme--documenter-dark .button.is-link.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } - html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link.is-active { - background-color: #17a689; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-link[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link { - background-color: #1abc9c; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-link.is-inverted { - background-color: #fff; - color: #1abc9c; } - html.theme--documenter-dark .button.is-link.is-inverted:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-hovered { - background-color: #f2f2f2; } - html.theme--documenter-dark .button.is-link.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #1abc9c; } - html.theme--documenter-dark .button.is-link.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-link.is-outlined { - background-color: transparent; - border-color: #1abc9c; - color: #1abc9c; } - html.theme--documenter-dark .button.is-link.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-outlined.is-focused { - background-color: #1abc9c; - border-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .button.is-link.is-outlined.is-loading::after { - border-color: transparent transparent #1abc9c #1abc9c !important; } - html.theme--documenter-dark .button.is-link.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-link.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined { - background-color: transparent; - border-color: #1abc9c; - box-shadow: none; - color: #1abc9c; } - html.theme--documenter-dark .button.is-link.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #1abc9c; } - html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #1abc9c #1abc9c !important; } - html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - html.theme--documenter-dark .button.is-info { - background-color: #024c7d; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-info:hover, html.theme--documenter-dark .button.is-info.is-hovered { - background-color: #024470; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-info:focus, html.theme--documenter-dark .button.is-info.is-focused { - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-info:focus:not(:active), html.theme--documenter-dark .button.is-info.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); } - html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info.is-active { - background-color: #023d64; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-info[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info { - background-color: #024c7d; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-info.is-inverted { - background-color: #fff; - color: #024c7d; } - html.theme--documenter-dark .button.is-info.is-inverted:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-hovered { - background-color: #f2f2f2; } - html.theme--documenter-dark .button.is-info.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #024c7d; } - html.theme--documenter-dark .button.is-info.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-info.is-outlined { - background-color: transparent; - border-color: #024c7d; - color: #024c7d; } - html.theme--documenter-dark .button.is-info.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-outlined.is-focused { - background-color: #024c7d; - border-color: #024c7d; - color: #fff; } - html.theme--documenter-dark .button.is-info.is-outlined.is-loading::after { - border-color: transparent transparent #024c7d #024c7d !important; } - html.theme--documenter-dark .button.is-info.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-info.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-outlined { - background-color: transparent; - border-color: #024c7d; - box-shadow: none; - color: #024c7d; } - html.theme--documenter-dark .button.is-info.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #024c7d; } - html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #024c7d #024c7d !important; } - html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - html.theme--documenter-dark .button.is-success { - background-color: #008438; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-success:hover, html.theme--documenter-dark .button.is-success.is-hovered { - background-color: #007733; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-success:focus, html.theme--documenter-dark .button.is-success.is-focused { - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-success:focus:not(:active), html.theme--documenter-dark .button.is-success.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); } - html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success.is-active { - background-color: #006b2d; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-success[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success { - background-color: #008438; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-success.is-inverted { - background-color: #fff; - color: #008438; } - html.theme--documenter-dark .button.is-success.is-inverted:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-hovered { - background-color: #f2f2f2; } - html.theme--documenter-dark .button.is-success.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #008438; } - html.theme--documenter-dark .button.is-success.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-success.is-outlined { - background-color: transparent; - border-color: #008438; - color: #008438; } - html.theme--documenter-dark .button.is-success.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-outlined.is-focused { - background-color: #008438; - border-color: #008438; - color: #fff; } - html.theme--documenter-dark .button.is-success.is-outlined.is-loading::after { - border-color: transparent transparent #008438 #008438 !important; } - html.theme--documenter-dark .button.is-success.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-success.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined { - background-color: transparent; - border-color: #008438; - box-shadow: none; - color: #008438; } - html.theme--documenter-dark .button.is-success.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #008438; } - html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #008438 #008438 !important; } - html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - html.theme--documenter-dark .button.is-warning { - background-color: #ad8100; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-warning:hover, html.theme--documenter-dark .button.is-warning.is-hovered { - background-color: #a07700; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-warning:focus, html.theme--documenter-dark .button.is-warning.is-focused { - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-warning:focus:not(:active), html.theme--documenter-dark .button.is-warning.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); } - html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning.is-active { - background-color: #946e00; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-warning[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning { - background-color: #ad8100; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-warning.is-inverted { - background-color: #fff; - color: #ad8100; } - html.theme--documenter-dark .button.is-warning.is-inverted:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-hovered { - background-color: #f2f2f2; } - html.theme--documenter-dark .button.is-warning.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #ad8100; } - html.theme--documenter-dark .button.is-warning.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-warning.is-outlined { - background-color: transparent; - border-color: #ad8100; - color: #ad8100; } - html.theme--documenter-dark .button.is-warning.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-outlined.is-focused { - background-color: #ad8100; - border-color: #ad8100; - color: #fff; } - html.theme--documenter-dark .button.is-warning.is-outlined.is-loading::after { - border-color: transparent transparent #ad8100 #ad8100 !important; } - html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-warning.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined { - background-color: transparent; - border-color: #ad8100; - box-shadow: none; - color: #ad8100; } - html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #ad8100; } - html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #ad8100 #ad8100 !important; } - html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - html.theme--documenter-dark .button.is-danger { - background-color: #9e1b0d; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-danger:hover, html.theme--documenter-dark .button.is-danger.is-hovered { - background-color: #92190c; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-danger:focus, html.theme--documenter-dark .button.is-danger.is-focused { - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-danger:focus:not(:active), html.theme--documenter-dark .button.is-danger.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); } - html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger.is-active { - background-color: #86170b; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-danger[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger { - background-color: #9e1b0d; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-danger.is-inverted { - background-color: #fff; - color: #9e1b0d; } - html.theme--documenter-dark .button.is-danger.is-inverted:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered { - background-color: #f2f2f2; } - html.theme--documenter-dark .button.is-danger.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #9e1b0d; } - html.theme--documenter-dark .button.is-danger.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-danger.is-outlined { - background-color: transparent; - border-color: #9e1b0d; - color: #9e1b0d; } - html.theme--documenter-dark .button.is-danger.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-outlined.is-focused { - background-color: #9e1b0d; - border-color: #9e1b0d; - color: #fff; } - html.theme--documenter-dark .button.is-danger.is-outlined.is-loading::after { - border-color: transparent transparent #9e1b0d #9e1b0d !important; } - html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-danger.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined { - background-color: transparent; - border-color: #9e1b0d; - box-shadow: none; - color: #9e1b0d; } - html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #9e1b0d; } - html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #9e1b0d #9e1b0d !important; } - html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - html.theme--documenter-dark .button.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button { - border-radius: 3px; - font-size: 0.85em; } - html.theme--documenter-dark .button.is-normal { - font-size: 15px; } - html.theme--documenter-dark .button.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .button.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .button { - background-color: #8c9b9d; - border-color: #dbdee0; - box-shadow: none; - opacity: 0.5; } - html.theme--documenter-dark .button.is-fullwidth { - display: flex; - width: 100%; } - html.theme--documenter-dark .button.is-loading { - color: transparent !important; - pointer-events: none; } - html.theme--documenter-dark .button.is-loading::after { - position: absolute; - left: calc(50% - (1em / 2)); - top: calc(50% - (1em / 2)); - position: absolute !important; } - html.theme--documenter-dark .button.is-static { - background-color: #282f2f; - border-color: #5e6d6f; - color: #dbdee0; - box-shadow: none; - pointer-events: none; } - html.theme--documenter-dark .button.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button { - border-radius: 290486px; - padding-left: 1em; - padding-right: 1em; } - html.theme--documenter-dark .buttons { - align-items: center; - display: flex; - flex-wrap: wrap; - justify-content: flex-start; } - html.theme--documenter-dark .buttons .button { - margin-bottom: 0.5rem; } - html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth) { - margin-right: 0.5rem; } - html.theme--documenter-dark .buttons:last-child { - margin-bottom: -0.5rem; } - html.theme--documenter-dark .buttons:not(:last-child) { - margin-bottom: 1rem; } - html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) { - border-radius: 3px; - font-size: 0.85em; } - html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) { - font-size: 1.25rem; } - html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) { - font-size: 1.5rem; } - html.theme--documenter-dark .buttons.has-addons .button:not(:first-child) { - border-bottom-left-radius: 0; - border-top-left-radius: 0; } - html.theme--documenter-dark .buttons.has-addons .button:not(:last-child) { - border-bottom-right-radius: 0; - border-top-right-radius: 0; - margin-right: -1px; } - html.theme--documenter-dark .buttons.has-addons .button:last-child { - margin-right: 0; } - html.theme--documenter-dark .buttons.has-addons .button:hover, html.theme--documenter-dark .buttons.has-addons .button.is-hovered { - z-index: 2; } - html.theme--documenter-dark .buttons.has-addons .button:focus, html.theme--documenter-dark .buttons.has-addons .button.is-focused, html.theme--documenter-dark .buttons.has-addons .button:active, html.theme--documenter-dark .buttons.has-addons .button.is-active, html.theme--documenter-dark .buttons.has-addons .button.is-selected { - z-index: 3; } - html.theme--documenter-dark .buttons.has-addons .button:focus:hover, html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover, html.theme--documenter-dark .buttons.has-addons .button:active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover { - z-index: 4; } - html.theme--documenter-dark .buttons.has-addons .button.is-expanded { - flex-grow: 1; - flex-shrink: 1; } - html.theme--documenter-dark .buttons.is-centered { - justify-content: center; } - html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) { - margin-left: 0.25rem; - margin-right: 0.25rem; } - html.theme--documenter-dark .buttons.is-right { - justify-content: flex-end; } - html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) { - margin-left: 0.25rem; - margin-right: 0.25rem; } - html.theme--documenter-dark .container { - flex-grow: 1; - margin: 0 auto; - position: relative; - width: auto; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .container { - max-width: 992px; } - html.theme--documenter-dark .container.is-fluid { - margin-left: 32px; - margin-right: 32px; - max-width: none; } } - @media screen and (max-width: 1215px) { - html.theme--documenter-dark .container.is-widescreen { - max-width: 1152px; } } - @media screen and (max-width: 1407px) { - html.theme--documenter-dark .container.is-fullhd { - max-width: 1344px; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .container { - max-width: 1152px; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .container { - max-width: 1344px; } } - html.theme--documenter-dark .content li + li { - margin-top: 0.25em; } - html.theme--documenter-dark .content p:not(:last-child), - html.theme--documenter-dark .content dl:not(:last-child), - html.theme--documenter-dark .content ol:not(:last-child), - html.theme--documenter-dark .content ul:not(:last-child), - html.theme--documenter-dark .content blockquote:not(:last-child), - html.theme--documenter-dark .content pre:not(:last-child), - html.theme--documenter-dark .content table:not(:last-child) { - margin-bottom: 1em; } - html.theme--documenter-dark .content h1, - html.theme--documenter-dark .content h2, - html.theme--documenter-dark .content h3, - html.theme--documenter-dark .content h4, - html.theme--documenter-dark .content h5, - html.theme--documenter-dark .content h6 { - color: #f2f2f2; - font-weight: 600; - line-height: 1.125; } - html.theme--documenter-dark .content h1 { - font-size: 2em; - margin-bottom: 0.5em; } - html.theme--documenter-dark .content h1:not(:first-child) { - margin-top: 1em; } - html.theme--documenter-dark .content h2 { - font-size: 1.75em; - margin-bottom: 0.5714em; } - html.theme--documenter-dark .content h2:not(:first-child) { - margin-top: 1.1428em; } - html.theme--documenter-dark .content h3 { - font-size: 1.5em; - margin-bottom: 0.6666em; } - html.theme--documenter-dark .content h3:not(:first-child) { - margin-top: 1.3333em; } - html.theme--documenter-dark .content h4 { - font-size: 1.25em; - margin-bottom: 0.8em; } - html.theme--documenter-dark .content h5 { - font-size: 1.125em; - margin-bottom: 0.8888em; } - html.theme--documenter-dark .content h6 { - font-size: 1em; - margin-bottom: 1em; } - html.theme--documenter-dark .content blockquote { - background-color: #282f2f; - border-left: 5px solid #5e6d6f; - padding: 1.25em 1.5em; } - html.theme--documenter-dark .content ol { - list-style-position: outside; - margin-left: 2em; - margin-top: 1em; } - html.theme--documenter-dark .content ol:not([type]) { - list-style-type: decimal; } - html.theme--documenter-dark .content ol.is-lower-alpha:not([type]) { - list-style-type: lower-alpha; } - html.theme--documenter-dark .content ol.is-lower-roman:not([type]) { - list-style-type: lower-roman; } - html.theme--documenter-dark .content ol.is-upper-alpha:not([type]) { - list-style-type: upper-alpha; } - html.theme--documenter-dark .content ol.is-upper-roman:not([type]) { - list-style-type: upper-roman; } - html.theme--documenter-dark .content ul { - list-style: disc outside; - margin-left: 2em; - margin-top: 1em; } - html.theme--documenter-dark .content ul ul { - list-style-type: circle; - margin-top: 0.5em; } - html.theme--documenter-dark .content ul ul ul { - list-style-type: square; } - html.theme--documenter-dark .content dd { - margin-left: 2em; } - html.theme--documenter-dark .content figure { - margin-left: 2em; - margin-right: 2em; - text-align: center; } - html.theme--documenter-dark .content figure:not(:first-child) { - margin-top: 2em; } - html.theme--documenter-dark .content figure:not(:last-child) { - margin-bottom: 2em; } - html.theme--documenter-dark .content figure img { - display: inline-block; } - html.theme--documenter-dark .content figure figcaption { - font-style: italic; } - html.theme--documenter-dark .content pre { - -webkit-overflow-scrolling: touch; - overflow-x: auto; - padding: 0; - white-space: pre; - word-wrap: normal; } - html.theme--documenter-dark .content sup, - html.theme--documenter-dark .content sub { - font-size: 75%; } - html.theme--documenter-dark .content table { - width: 100%; } - html.theme--documenter-dark .content table td, - html.theme--documenter-dark .content table th { - border: 1px solid #5e6d6f; - border-width: 0 0 1px; - padding: 0.5em 0.75em; - vertical-align: top; } - html.theme--documenter-dark .content table th { - color: #f2f2f2; } - html.theme--documenter-dark .content table th:not([align]) { - text-align: left; } - html.theme--documenter-dark .content table thead td, - html.theme--documenter-dark .content table thead th { - border-width: 0 0 2px; - color: #f2f2f2; } - html.theme--documenter-dark .content table tfoot td, - html.theme--documenter-dark .content table tfoot th { - border-width: 2px 0 0; - color: #f2f2f2; } - html.theme--documenter-dark .content table tbody tr:last-child td, - html.theme--documenter-dark .content table tbody tr:last-child th { - border-bottom-width: 0; } - html.theme--documenter-dark .content .tabs li + li { - margin-top: 0; } - html.theme--documenter-dark .content.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.content { - font-size: 0.85em; } - html.theme--documenter-dark .content.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .content.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .icon { - align-items: center; - display: inline-flex; - justify-content: center; - height: 1.5rem; - width: 1.5rem; } - html.theme--documenter-dark .icon.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.icon { - height: 1rem; - width: 1rem; } - html.theme--documenter-dark .icon.is-medium { - height: 2rem; - width: 2rem; } - html.theme--documenter-dark .icon.is-large { - height: 3rem; - width: 3rem; } - html.theme--documenter-dark .image, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img { - display: block; - position: relative; } - html.theme--documenter-dark .image img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img { - display: block; - height: auto; - width: 100%; } - html.theme--documenter-dark .image img.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img.is-rounded { - border-radius: 290486px; } - html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img, - html.theme--documenter-dark .image.is-square .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img, - html.theme--documenter-dark .image.is-1by1 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img, - html.theme--documenter-dark .image.is-5by4 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img, - html.theme--documenter-dark .image.is-4by3 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img, - html.theme--documenter-dark .image.is-3by2 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img, - html.theme--documenter-dark .image.is-5by3 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img, - html.theme--documenter-dark .image.is-16by9 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img, - html.theme--documenter-dark .image.is-2by1 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img, - html.theme--documenter-dark .image.is-3by1 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img, - html.theme--documenter-dark .image.is-4by5 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img, - html.theme--documenter-dark .image.is-3by4 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img, - html.theme--documenter-dark .image.is-2by3 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img, - html.theme--documenter-dark .image.is-3by5 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img, - html.theme--documenter-dark .image.is-9by16 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img, - html.theme--documenter-dark .image.is-1by2 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img, - html.theme--documenter-dark .image.is-1by3 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio { - height: 100%; - width: 100%; } - html.theme--documenter-dark .image.is-square, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square, html.theme--documenter-dark .image.is-1by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 { - padding-top: 100%; } - html.theme--documenter-dark .image.is-5by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 { - padding-top: 80%; } - html.theme--documenter-dark .image.is-4by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 { - padding-top: 75%; } - html.theme--documenter-dark .image.is-3by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 { - padding-top: 66.6666%; } - html.theme--documenter-dark .image.is-5by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 { - padding-top: 60%; } - html.theme--documenter-dark .image.is-16by9, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 { - padding-top: 56.25%; } - html.theme--documenter-dark .image.is-2by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 { - padding-top: 50%; } - html.theme--documenter-dark .image.is-3by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 { - padding-top: 33.3333%; } - html.theme--documenter-dark .image.is-4by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 { - padding-top: 125%; } - html.theme--documenter-dark .image.is-3by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 { - padding-top: 133.3333%; } - html.theme--documenter-dark .image.is-2by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 { - padding-top: 150%; } - html.theme--documenter-dark .image.is-3by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 { - padding-top: 166.6666%; } - html.theme--documenter-dark .image.is-9by16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 { - padding-top: 177.7777%; } - html.theme--documenter-dark .image.is-1by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 { - padding-top: 200%; } - html.theme--documenter-dark .image.is-1by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 { - padding-top: 300%; } - html.theme--documenter-dark .image.is-16x16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16x16 { - height: 16px; - width: 16px; } - html.theme--documenter-dark .image.is-24x24, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-24x24 { - height: 24px; - width: 24px; } - html.theme--documenter-dark .image.is-32x32, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-32x32 { - height: 32px; - width: 32px; } - html.theme--documenter-dark .image.is-48x48, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-48x48 { - height: 48px; - width: 48px; } - html.theme--documenter-dark .image.is-64x64, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-64x64 { - height: 64px; - width: 64px; } - html.theme--documenter-dark .image.is-96x96, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-96x96 { - height: 96px; - width: 96px; } - html.theme--documenter-dark .image.is-128x128, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-128x128 { - height: 128px; - width: 128px; } - html.theme--documenter-dark .notification { - background-color: #282f2f; - border-radius: 0.4em; - padding: 1.25rem 2.5rem 1.25rem 1.5rem; - position: relative; } - html.theme--documenter-dark .notification a:not(.button):not(.dropdown-item) { - color: currentColor; - text-decoration: underline; } - html.theme--documenter-dark .notification strong { - color: currentColor; } - html.theme--documenter-dark .notification code, - html.theme--documenter-dark .notification pre { - background: white; } - html.theme--documenter-dark .notification pre code { - background: transparent; } - html.theme--documenter-dark .notification > .delete { - position: absolute; - right: 0.5rem; - top: 0.5rem; } - html.theme--documenter-dark .notification .title, - html.theme--documenter-dark .notification .subtitle, - html.theme--documenter-dark .notification .content { - color: currentColor; } - html.theme--documenter-dark .notification.is-white { - background-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .notification.is-black { - background-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .notification.is-light { - background-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .notification.is-dark, html.theme--documenter-dark .content kbd.notification { - background-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .notification.is-primary, html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink { - background-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .notification.is-link { - background-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .notification.is-info { - background-color: #024c7d; - color: #fff; } - html.theme--documenter-dark .notification.is-success { - background-color: #008438; - color: #fff; } - html.theme--documenter-dark .notification.is-warning { - background-color: #ad8100; - color: #fff; } - html.theme--documenter-dark .notification.is-danger { - background-color: #9e1b0d; - color: #fff; } - html.theme--documenter-dark .progress { - -moz-appearance: none; - -webkit-appearance: none; - border: none; - border-radius: 290486px; - display: block; - height: 15px; - overflow: hidden; - padding: 0; - width: 100%; } - html.theme--documenter-dark .progress::-webkit-progress-bar { - background-color: #5e6d6f; } - html.theme--documenter-dark .progress::-webkit-progress-value { - background-color: #dbdee0; } - html.theme--documenter-dark .progress::-moz-progress-bar { - background-color: #dbdee0; } - html.theme--documenter-dark .progress::-ms-fill { - background-color: #dbdee0; - border: none; } - html.theme--documenter-dark .progress.is-white::-webkit-progress-value { - background-color: white; } - html.theme--documenter-dark .progress.is-white::-moz-progress-bar { - background-color: white; } - html.theme--documenter-dark .progress.is-white::-ms-fill { - background-color: white; } - html.theme--documenter-dark .progress.is-white:indeterminate { - background-image: linear-gradient(to right, white 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-black::-webkit-progress-value { - background-color: #0a0a0a; } - html.theme--documenter-dark .progress.is-black::-moz-progress-bar { - background-color: #0a0a0a; } - html.theme--documenter-dark .progress.is-black::-ms-fill { - background-color: #0a0a0a; } - html.theme--documenter-dark .progress.is-black:indeterminate { - background-image: linear-gradient(to right, #0a0a0a 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-light::-webkit-progress-value { - background-color: #ecf0f1; } - html.theme--documenter-dark .progress.is-light::-moz-progress-bar { - background-color: #ecf0f1; } - html.theme--documenter-dark .progress.is-light::-ms-fill { - background-color: #ecf0f1; } - html.theme--documenter-dark .progress.is-light:indeterminate { - background-image: linear-gradient(to right, #ecf0f1 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-dark::-webkit-progress-value, html.theme--documenter-dark .content kbd.progress::-webkit-progress-value { - background-color: #282f2f; } - html.theme--documenter-dark .progress.is-dark::-moz-progress-bar, html.theme--documenter-dark .content kbd.progress::-moz-progress-bar { - background-color: #282f2f; } - html.theme--documenter-dark .progress.is-dark::-ms-fill, html.theme--documenter-dark .content kbd.progress::-ms-fill { - background-color: #282f2f; } - html.theme--documenter-dark .progress.is-dark:indeterminate, html.theme--documenter-dark .content kbd.progress:indeterminate { - background-image: linear-gradient(to right, #282f2f 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-primary::-webkit-progress-value, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value { - background-color: #375a7f; } - html.theme--documenter-dark .progress.is-primary::-moz-progress-bar, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar { - background-color: #375a7f; } - html.theme--documenter-dark .progress.is-primary::-ms-fill, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-ms-fill { - background-color: #375a7f; } - html.theme--documenter-dark .progress.is-primary:indeterminate, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink:indeterminate { - background-image: linear-gradient(to right, #375a7f 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-link::-webkit-progress-value { - background-color: #1abc9c; } - html.theme--documenter-dark .progress.is-link::-moz-progress-bar { - background-color: #1abc9c; } - html.theme--documenter-dark .progress.is-link::-ms-fill { - background-color: #1abc9c; } - html.theme--documenter-dark .progress.is-link:indeterminate { - background-image: linear-gradient(to right, #1abc9c 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-info::-webkit-progress-value { - background-color: #024c7d; } - html.theme--documenter-dark .progress.is-info::-moz-progress-bar { - background-color: #024c7d; } - html.theme--documenter-dark .progress.is-info::-ms-fill { - background-color: #024c7d; } - html.theme--documenter-dark .progress.is-info:indeterminate { - background-image: linear-gradient(to right, #024c7d 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-success::-webkit-progress-value { - background-color: #008438; } - html.theme--documenter-dark .progress.is-success::-moz-progress-bar { - background-color: #008438; } - html.theme--documenter-dark .progress.is-success::-ms-fill { - background-color: #008438; } - html.theme--documenter-dark .progress.is-success:indeterminate { - background-image: linear-gradient(to right, #008438 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-warning::-webkit-progress-value { - background-color: #ad8100; } - html.theme--documenter-dark .progress.is-warning::-moz-progress-bar { - background-color: #ad8100; } - html.theme--documenter-dark .progress.is-warning::-ms-fill { - background-color: #ad8100; } - html.theme--documenter-dark .progress.is-warning:indeterminate { - background-image: linear-gradient(to right, #ad8100 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-danger::-webkit-progress-value { - background-color: #9e1b0d; } - html.theme--documenter-dark .progress.is-danger::-moz-progress-bar { - background-color: #9e1b0d; } - html.theme--documenter-dark .progress.is-danger::-ms-fill { - background-color: #9e1b0d; } - html.theme--documenter-dark .progress.is-danger:indeterminate { - background-image: linear-gradient(to right, #9e1b0d 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress:indeterminate { - animation-duration: 1.5s; - animation-iteration-count: infinite; - animation-name: moveIndeterminate; - animation-timing-function: linear; - background-color: #5e6d6f; - background-image: linear-gradient(to right, #fff 30%, #5e6d6f 30%); - background-position: top left; - background-repeat: no-repeat; - background-size: 150% 150%; } - html.theme--documenter-dark .progress:indeterminate::-webkit-progress-bar { - background-color: transparent; } - html.theme--documenter-dark .progress:indeterminate::-moz-progress-bar { - background-color: transparent; } - html.theme--documenter-dark .progress.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.progress { - height: 0.85em; } - html.theme--documenter-dark .progress.is-medium { - height: 1.25rem; } - html.theme--documenter-dark .progress.is-large { - height: 1.5rem; } - -@keyframes moveIndeterminate { - from { - background-position: 200% 0; } - to { - background-position: -200% 0; } } - html.theme--documenter-dark .table { - background-color: #343c3d; - color: #fff; } - html.theme--documenter-dark .table td, - html.theme--documenter-dark .table th { - border: 1px solid #5e6d6f; - border-width: 0 0 1px; - padding: 0.5em 0.75em; - vertical-align: top; } - html.theme--documenter-dark .table td.is-white, - html.theme--documenter-dark .table th.is-white { - background-color: white; - border-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .table td.is-black, - html.theme--documenter-dark .table th.is-black { - background-color: #0a0a0a; - border-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .table td.is-light, - html.theme--documenter-dark .table th.is-light { - background-color: #ecf0f1; - border-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .table td.is-dark, - html.theme--documenter-dark .table th.is-dark { - background-color: #282f2f; - border-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .table td.is-primary, - html.theme--documenter-dark .table th.is-primary { - background-color: #375a7f; - border-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .table td.is-link, - html.theme--documenter-dark .table th.is-link { - background-color: #1abc9c; - border-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .table td.is-info, - html.theme--documenter-dark .table th.is-info { - background-color: #024c7d; - border-color: #024c7d; - color: #fff; } - html.theme--documenter-dark .table td.is-success, - html.theme--documenter-dark .table th.is-success { - background-color: #008438; - border-color: #008438; - color: #fff; } - html.theme--documenter-dark .table td.is-warning, - html.theme--documenter-dark .table th.is-warning { - background-color: #ad8100; - border-color: #ad8100; - color: #fff; } - html.theme--documenter-dark .table td.is-danger, - html.theme--documenter-dark .table th.is-danger { - background-color: #9e1b0d; - border-color: #9e1b0d; - color: #fff; } - html.theme--documenter-dark .table td.is-narrow, - html.theme--documenter-dark .table th.is-narrow { - white-space: nowrap; - width: 1%; } - html.theme--documenter-dark .table td.is-selected, - html.theme--documenter-dark .table th.is-selected { - background-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .table td.is-selected a, - html.theme--documenter-dark .table td.is-selected strong, - html.theme--documenter-dark .table th.is-selected a, - html.theme--documenter-dark .table th.is-selected strong { - color: currentColor; } - html.theme--documenter-dark .table th { - color: #f2f2f2; } - html.theme--documenter-dark .table th:not([align]) { - text-align: left; } - html.theme--documenter-dark .table tr.is-selected { - background-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .table tr.is-selected a, - html.theme--documenter-dark .table tr.is-selected strong { - color: currentColor; } - html.theme--documenter-dark .table tr.is-selected td, - html.theme--documenter-dark .table tr.is-selected th { - border-color: #fff; - color: currentColor; } - html.theme--documenter-dark .table thead { - background-color: transparent; } - html.theme--documenter-dark .table thead td, - html.theme--documenter-dark .table thead th { - border-width: 0 0 2px; - color: #f2f2f2; } - html.theme--documenter-dark .table tfoot { - background-color: transparent; } - html.theme--documenter-dark .table tfoot td, - html.theme--documenter-dark .table tfoot th { - border-width: 2px 0 0; - color: #f2f2f2; } - html.theme--documenter-dark .table tbody { - background-color: transparent; } - html.theme--documenter-dark .table tbody tr:last-child td, - html.theme--documenter-dark .table tbody tr:last-child th { - border-bottom-width: 0; } - html.theme--documenter-dark .table.is-bordered td, - html.theme--documenter-dark .table.is-bordered th { - border-width: 1px; } - html.theme--documenter-dark .table.is-bordered tr:last-child td, - html.theme--documenter-dark .table.is-bordered tr:last-child th { - border-bottom-width: 1px; } - html.theme--documenter-dark .table.is-fullwidth { - width: 100%; } - html.theme--documenter-dark .table.is-hoverable tbody tr:not(.is-selected):hover { - background-color: #282f2f; } - html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover { - background-color: #282f2f; } - html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) { - background-color: #2d3435; } - html.theme--documenter-dark .table.is-narrow td, - html.theme--documenter-dark .table.is-narrow th { - padding: 0.25em 0.5em; } - html.theme--documenter-dark .table.is-striped tbody tr:not(.is-selected):nth-child(even) { - background-color: #282f2f; } - html.theme--documenter-dark .table-container { - -webkit-overflow-scrolling: touch; - overflow: auto; - overflow-y: hidden; - max-width: 100%; } - html.theme--documenter-dark .tags { - align-items: center; - display: flex; - flex-wrap: wrap; - justify-content: flex-start; } - html.theme--documenter-dark .tags .tag, html.theme--documenter-dark .tags .content kbd, html.theme--documenter-dark .content .tags kbd, html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink { - margin-bottom: 0.5rem; } - html.theme--documenter-dark .tags .tag:not(:last-child), html.theme--documenter-dark .tags .content kbd:not(:last-child), html.theme--documenter-dark .content .tags kbd:not(:last-child), html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink:not(:last-child) { - margin-right: 0.5rem; } - html.theme--documenter-dark .tags:last-child { - margin-bottom: -0.5rem; } - html.theme--documenter-dark .tags:not(:last-child) { - margin-bottom: 1rem; } - html.theme--documenter-dark .tags.are-medium .tag:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .content kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .content .tags.are-medium kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) { - font-size: 15px; } - html.theme--documenter-dark .tags.are-large .tag:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .content kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .content .tags.are-large kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) { - font-size: 1.25rem; } - html.theme--documenter-dark .tags.is-centered { - justify-content: center; } - html.theme--documenter-dark .tags.is-centered .tag, html.theme--documenter-dark .tags.is-centered .content kbd, html.theme--documenter-dark .content .tags.is-centered kbd, html.theme--documenter-dark .tags.is-centered .docstring > section > a.docs-sourcelink { - margin-right: 0.25rem; - margin-left: 0.25rem; } - html.theme--documenter-dark .tags.is-right { - justify-content: flex-end; } - html.theme--documenter-dark .tags.is-right .tag:not(:first-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:first-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) { - margin-left: 0.5rem; } - html.theme--documenter-dark .tags.is-right .tag:not(:last-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:last-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) { - margin-right: 0; } - html.theme--documenter-dark .tags.has-addons .tag, html.theme--documenter-dark .tags.has-addons .content kbd, html.theme--documenter-dark .content .tags.has-addons kbd, html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink { - margin-right: 0; } - html.theme--documenter-dark .tags.has-addons .tag:not(:first-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:first-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) { - margin-left: 0; - border-bottom-left-radius: 0; - border-top-left-radius: 0; } - html.theme--documenter-dark .tags.has-addons .tag:not(:last-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:last-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) { - border-bottom-right-radius: 0; - border-top-right-radius: 0; } - html.theme--documenter-dark .tag:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) { - align-items: center; - background-color: #282f2f; - border-radius: 0.4em; - color: #fff; - display: inline-flex; - font-size: 0.85em; - height: 2em; - justify-content: center; - line-height: 1.5; - padding-left: 0.75em; - padding-right: 0.75em; - white-space: nowrap; } - html.theme--documenter-dark .tag:not(body) .delete, html.theme--documenter-dark .content kbd:not(body) .delete, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .delete { - margin-left: 0.25rem; - margin-right: -0.375rem; } - html.theme--documenter-dark .tag.is-white:not(body), html.theme--documenter-dark .content kbd.is-white:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-white:not(body) { - background-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .tag.is-black:not(body), html.theme--documenter-dark .content kbd.is-black:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-black:not(body) { - background-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .tag.is-light:not(body), html.theme--documenter-dark .content kbd.is-light:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-light:not(body) { - background-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .tag.is-dark:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-dark:not(body), html.theme--documenter-dark .content .docstring > section > kbd:not(body) { - background-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .tag.is-primary:not(body), html.theme--documenter-dark .content kbd.is-primary:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) { - background-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .tag.is-link:not(body), html.theme--documenter-dark .content kbd.is-link:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-link:not(body) { - background-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .tag.is-info:not(body), html.theme--documenter-dark .content kbd.is-info:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-info:not(body) { - background-color: #024c7d; - color: #fff; } - html.theme--documenter-dark .tag.is-success:not(body), html.theme--documenter-dark .content kbd.is-success:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-success:not(body) { - background-color: #008438; - color: #fff; } - html.theme--documenter-dark .tag.is-warning:not(body), html.theme--documenter-dark .content kbd.is-warning:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-warning:not(body) { - background-color: #ad8100; - color: #fff; } - html.theme--documenter-dark .tag.is-danger:not(body), html.theme--documenter-dark .content kbd.is-danger:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-danger:not(body) { - background-color: #9e1b0d; - color: #fff; } - html.theme--documenter-dark .tag.is-normal:not(body), html.theme--documenter-dark .content kbd.is-normal:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-normal:not(body) { - font-size: 0.85em; } - html.theme--documenter-dark .tag.is-medium:not(body), html.theme--documenter-dark .content kbd.is-medium:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-medium:not(body) { - font-size: 15px; } - html.theme--documenter-dark .tag.is-large:not(body), html.theme--documenter-dark .content kbd.is-large:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-large:not(body) { - font-size: 1.25rem; } - html.theme--documenter-dark .tag:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .content kbd:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) { - margin-left: -0.375em; - margin-right: 0.1875em; } - html.theme--documenter-dark .tag:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .content kbd:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) { - margin-left: 0.1875em; - margin-right: -0.375em; } - html.theme--documenter-dark .tag:not(body) .icon:first-child:last-child, html.theme--documenter-dark .content kbd:not(body) .icon:first-child:last-child, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child { - margin-left: -0.375em; - margin-right: -0.375em; } - html.theme--documenter-dark .tag.is-delete:not(body), html.theme--documenter-dark .content kbd.is-delete:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body) { - margin-left: 1px; - padding: 0; - position: relative; - width: 2em; } - html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after { - background-color: currentColor; - content: ""; - display: block; - left: 50%; - position: absolute; - top: 50%; - transform: translateX(-50%) translateY(-50%) rotate(45deg); - transform-origin: center center; } - html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before { - height: 1px; - width: 50%; } - html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after { - height: 50%; - width: 1px; } - html.theme--documenter-dark .tag.is-delete:not(body):hover, html.theme--documenter-dark .content kbd.is-delete:not(body):hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, html.theme--documenter-dark .tag.is-delete:not(body):focus, html.theme--documenter-dark .content kbd.is-delete:not(body):focus, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):focus { - background-color: #1d2122; } - html.theme--documenter-dark .tag.is-delete:not(body):active, html.theme--documenter-dark .content kbd.is-delete:not(body):active, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):active { - background-color: #111414; } - html.theme--documenter-dark .tag.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:not(body), html.theme--documenter-dark .content kbd.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-rounded:not(body) { - border-radius: 290486px; } - html.theme--documenter-dark a.tag:hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:hover { - text-decoration: underline; } - html.theme--documenter-dark .title, - html.theme--documenter-dark .subtitle { - word-break: break-word; } - html.theme--documenter-dark .title em, - html.theme--documenter-dark .title span, - html.theme--documenter-dark .subtitle em, - html.theme--documenter-dark .subtitle span { - font-weight: inherit; } - html.theme--documenter-dark .title sub, - html.theme--documenter-dark .subtitle sub { - font-size: 0.75em; } - html.theme--documenter-dark .title sup, - html.theme--documenter-dark .subtitle sup { - font-size: 0.75em; } - html.theme--documenter-dark .title .tag, html.theme--documenter-dark .title .content kbd, html.theme--documenter-dark .content .title kbd, html.theme--documenter-dark .title .docstring > section > a.docs-sourcelink, - html.theme--documenter-dark .subtitle .tag, - html.theme--documenter-dark .subtitle .content kbd, - html.theme--documenter-dark .content .subtitle kbd, - html.theme--documenter-dark .subtitle .docstring > section > a.docs-sourcelink { - vertical-align: middle; } - html.theme--documenter-dark .title { - color: #fff; - font-size: 2rem; - font-weight: 500; - line-height: 1.125; } - html.theme--documenter-dark .title strong { - color: inherit; - font-weight: inherit; } - html.theme--documenter-dark .title + .highlight { - margin-top: -0.75rem; } - html.theme--documenter-dark .title:not(.is-spaced) + .subtitle { - margin-top: -1.25rem; } - html.theme--documenter-dark .title.is-1 { - font-size: 3rem; } - html.theme--documenter-dark .title.is-2 { - font-size: 2.5rem; } - html.theme--documenter-dark .title.is-3 { - font-size: 2rem; } - html.theme--documenter-dark .title.is-4 { - font-size: 1.5rem; } - html.theme--documenter-dark .title.is-5 { - font-size: 1.25rem; } - html.theme--documenter-dark .title.is-6 { - font-size: 15px; } - html.theme--documenter-dark .title.is-7 { - font-size: 0.85em; } - html.theme--documenter-dark .subtitle { - color: #8c9b9d; - font-size: 1.25rem; - font-weight: 400; - line-height: 1.25; } - html.theme--documenter-dark .subtitle strong { - color: #8c9b9d; - font-weight: 600; } - html.theme--documenter-dark .subtitle:not(.is-spaced) + .title { - margin-top: -1.25rem; } - html.theme--documenter-dark .subtitle.is-1 { - font-size: 3rem; } - html.theme--documenter-dark .subtitle.is-2 { - font-size: 2.5rem; } - html.theme--documenter-dark .subtitle.is-3 { - font-size: 2rem; } - html.theme--documenter-dark .subtitle.is-4 { - font-size: 1.5rem; } - html.theme--documenter-dark .subtitle.is-5 { - font-size: 1.25rem; } - html.theme--documenter-dark .subtitle.is-6 { - font-size: 15px; } - html.theme--documenter-dark .subtitle.is-7 { - font-size: 0.85em; } - html.theme--documenter-dark .heading { - display: block; - font-size: 11px; - letter-spacing: 1px; - margin-bottom: 5px; - text-transform: uppercase; } - html.theme--documenter-dark .highlight { - font-weight: 400; - max-width: 100%; - overflow: hidden; - padding: 0; } - html.theme--documenter-dark .highlight pre { - overflow: auto; - max-width: 100%; } - html.theme--documenter-dark .number { - align-items: center; - background-color: #282f2f; - border-radius: 290486px; - display: inline-flex; - font-size: 1.25rem; - height: 2em; - justify-content: center; - margin-right: 1.5rem; - min-width: 2.5em; - padding: 0.25rem 0.5rem; - text-align: center; - vertical-align: top; } - html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input { - background-color: #1f2424; - border-color: #5e6d6f; - border-radius: 0.4em; - color: #dbdee0; } - html.theme--documenter-dark .select select::-moz-placeholder, html.theme--documenter-dark .textarea::-moz-placeholder, html.theme--documenter-dark .input::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder { - color: rgba(219, 222, 224, 0.3); } - html.theme--documenter-dark .select select::-webkit-input-placeholder, html.theme--documenter-dark .textarea::-webkit-input-placeholder, html.theme--documenter-dark .input::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder { - color: rgba(219, 222, 224, 0.3); } - html.theme--documenter-dark .select select:-moz-placeholder, html.theme--documenter-dark .textarea:-moz-placeholder, html.theme--documenter-dark .input:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder { - color: rgba(219, 222, 224, 0.3); } - html.theme--documenter-dark .select select:-ms-input-placeholder, html.theme--documenter-dark .textarea:-ms-input-placeholder, html.theme--documenter-dark .input:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder { - color: rgba(219, 222, 224, 0.3); } - html.theme--documenter-dark .select select:hover, html.theme--documenter-dark .textarea:hover, html.theme--documenter-dark .input:hover, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:hover, html.theme--documenter-dark .select select.is-hovered, html.theme--documenter-dark .is-hovered.textarea, html.theme--documenter-dark .is-hovered.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-hovered { - border-color: #8c9b9d; } - html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { - border-color: #1abc9c; - box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } - html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input { - background-color: #8c9b9d; - border-color: #282f2f; - box-shadow: none; - color: white; } - html.theme--documenter-dark .select select[disabled]::-moz-placeholder, html.theme--documenter-dark .textarea[disabled]::-moz-placeholder, html.theme--documenter-dark .input[disabled]::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder { - color: rgba(255, 255, 255, 0.3); } - html.theme--documenter-dark .select select[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .textarea[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .input[disabled]::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder { - color: rgba(255, 255, 255, 0.3); } - html.theme--documenter-dark .select select[disabled]:-moz-placeholder, html.theme--documenter-dark .textarea[disabled]:-moz-placeholder, html.theme--documenter-dark .input[disabled]:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder { - color: rgba(255, 255, 255, 0.3); } - html.theme--documenter-dark .select select[disabled]:-ms-input-placeholder, html.theme--documenter-dark .textarea[disabled]:-ms-input-placeholder, html.theme--documenter-dark .input[disabled]:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder { - color: rgba(255, 255, 255, 0.3); } - html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input { - box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1); - max-width: 100%; - width: 100%; } - html.theme--documenter-dark .textarea[readonly], html.theme--documenter-dark .input[readonly], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[readonly] { - box-shadow: none; } - html.theme--documenter-dark .is-white.textarea, html.theme--documenter-dark .is-white.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white { - border-color: white; } - html.theme--documenter-dark .is-white.textarea:focus, html.theme--documenter-dark .is-white.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:focus, html.theme--documenter-dark .is-white.is-focused.textarea, html.theme--documenter-dark .is-white.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-white.textarea:active, html.theme--documenter-dark .is-white.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:active, html.theme--documenter-dark .is-white.is-active.textarea, html.theme--documenter-dark .is-white.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } - html.theme--documenter-dark .is-black.textarea, html.theme--documenter-dark .is-black.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black { - border-color: #0a0a0a; } - html.theme--documenter-dark .is-black.textarea:focus, html.theme--documenter-dark .is-black.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:focus, html.theme--documenter-dark .is-black.is-focused.textarea, html.theme--documenter-dark .is-black.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-black.textarea:active, html.theme--documenter-dark .is-black.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:active, html.theme--documenter-dark .is-black.is-active.textarea, html.theme--documenter-dark .is-black.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } - html.theme--documenter-dark .is-light.textarea, html.theme--documenter-dark .is-light.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light { - border-color: #ecf0f1; } - html.theme--documenter-dark .is-light.textarea:focus, html.theme--documenter-dark .is-light.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:focus, html.theme--documenter-dark .is-light.is-focused.textarea, html.theme--documenter-dark .is-light.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-light.textarea:active, html.theme--documenter-dark .is-light.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:active, html.theme--documenter-dark .is-light.is-active.textarea, html.theme--documenter-dark .is-light.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); } - html.theme--documenter-dark .is-dark.textarea, html.theme--documenter-dark .content kbd.textarea, html.theme--documenter-dark .is-dark.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark, html.theme--documenter-dark .content kbd.input { - border-color: #282f2f; } - html.theme--documenter-dark .is-dark.textarea:focus, html.theme--documenter-dark .content kbd.textarea:focus, html.theme--documenter-dark .is-dark.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:focus, html.theme--documenter-dark .content kbd.input:focus, html.theme--documenter-dark .is-dark.is-focused.textarea, html.theme--documenter-dark .content kbd.is-focused.textarea, html.theme--documenter-dark .is-dark.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .content kbd.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-focused, html.theme--documenter-dark .is-dark.textarea:active, html.theme--documenter-dark .content kbd.textarea:active, html.theme--documenter-dark .is-dark.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:active, html.theme--documenter-dark .content kbd.input:active, html.theme--documenter-dark .is-dark.is-active.textarea, html.theme--documenter-dark .content kbd.is-active.textarea, html.theme--documenter-dark .is-dark.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .content kbd.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); } - html.theme--documenter-dark .is-primary.textarea, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink { - border-color: #375a7f; } - html.theme--documenter-dark .is-primary.textarea:focus, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:focus, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.is-focused.textarea, html.theme--documenter-dark .docstring > section > a.is-focused.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .docstring > section > a.is-focused.input.docs-sourcelink, html.theme--documenter-dark .is-primary.textarea:active, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:active, html.theme--documenter-dark .is-primary.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:active, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:active, html.theme--documenter-dark .is-primary.is-active.textarea, html.theme--documenter-dark .docstring > section > a.is-active.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .docstring > section > a.is-active.input.docs-sourcelink { - box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); } - html.theme--documenter-dark .is-link.textarea, html.theme--documenter-dark .is-link.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link { - border-color: #1abc9c; } - html.theme--documenter-dark .is-link.textarea:focus, html.theme--documenter-dark .is-link.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:focus, html.theme--documenter-dark .is-link.is-focused.textarea, html.theme--documenter-dark .is-link.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-link.textarea:active, html.theme--documenter-dark .is-link.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:active, html.theme--documenter-dark .is-link.is-active.textarea, html.theme--documenter-dark .is-link.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } - html.theme--documenter-dark .is-info.textarea, html.theme--documenter-dark .is-info.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info { - border-color: #024c7d; } - html.theme--documenter-dark .is-info.textarea:focus, html.theme--documenter-dark .is-info.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:focus, html.theme--documenter-dark .is-info.is-focused.textarea, html.theme--documenter-dark .is-info.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-info.textarea:active, html.theme--documenter-dark .is-info.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:active, html.theme--documenter-dark .is-info.is-active.textarea, html.theme--documenter-dark .is-info.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); } - html.theme--documenter-dark .is-success.textarea, html.theme--documenter-dark .is-success.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success { - border-color: #008438; } - html.theme--documenter-dark .is-success.textarea:focus, html.theme--documenter-dark .is-success.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:focus, html.theme--documenter-dark .is-success.is-focused.textarea, html.theme--documenter-dark .is-success.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-success.textarea:active, html.theme--documenter-dark .is-success.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:active, html.theme--documenter-dark .is-success.is-active.textarea, html.theme--documenter-dark .is-success.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); } - html.theme--documenter-dark .is-warning.textarea, html.theme--documenter-dark .is-warning.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning { - border-color: #ad8100; } - html.theme--documenter-dark .is-warning.textarea:focus, html.theme--documenter-dark .is-warning.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:focus, html.theme--documenter-dark .is-warning.is-focused.textarea, html.theme--documenter-dark .is-warning.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-warning.textarea:active, html.theme--documenter-dark .is-warning.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:active, html.theme--documenter-dark .is-warning.is-active.textarea, html.theme--documenter-dark .is-warning.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); } - html.theme--documenter-dark .is-danger.textarea, html.theme--documenter-dark .is-danger.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger { - border-color: #9e1b0d; } - html.theme--documenter-dark .is-danger.textarea:focus, html.theme--documenter-dark .is-danger.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:focus, html.theme--documenter-dark .is-danger.is-focused.textarea, html.theme--documenter-dark .is-danger.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-danger.textarea:active, html.theme--documenter-dark .is-danger.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:active, html.theme--documenter-dark .is-danger.is-active.textarea, html.theme--documenter-dark .is-danger.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); } - html.theme--documenter-dark .is-small.textarea, html.theme--documenter-dark .is-small.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input { - border-radius: 3px; - font-size: 0.85em; } - html.theme--documenter-dark .is-medium.textarea, html.theme--documenter-dark .is-medium.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .is-large.textarea, html.theme--documenter-dark .is-large.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .is-fullwidth.textarea, html.theme--documenter-dark .is-fullwidth.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-fullwidth { - display: block; - width: 100%; } - html.theme--documenter-dark .is-inline.textarea, html.theme--documenter-dark .is-inline.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-inline { - display: inline; - width: auto; } - html.theme--documenter-dark .input.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input { - border-radius: 290486px; - padding-left: 1em; - padding-right: 1em; } - html.theme--documenter-dark .input.is-static, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-static { - background-color: transparent; - border-color: transparent; - box-shadow: none; - padding-left: 0; - padding-right: 0; } - html.theme--documenter-dark .textarea { - display: block; - max-width: 100%; - min-width: 100%; - padding: 0.625em; - resize: vertical; } - html.theme--documenter-dark .textarea:not([rows]) { - max-height: 600px; - min-height: 120px; } - html.theme--documenter-dark .textarea[rows] { - height: initial; } - html.theme--documenter-dark .textarea.has-fixed-size { - resize: none; } - html.theme--documenter-dark .radio, html.theme--documenter-dark .checkbox { - cursor: pointer; - display: inline-block; - line-height: 1.25; - position: relative; } - html.theme--documenter-dark .radio input, html.theme--documenter-dark .checkbox input { - cursor: pointer; } - html.theme--documenter-dark .radio:hover, html.theme--documenter-dark .checkbox:hover { - color: #8c9b9d; } - html.theme--documenter-dark .radio[disabled], html.theme--documenter-dark .checkbox[disabled], fieldset[disabled] html.theme--documenter-dark .radio, fieldset[disabled] html.theme--documenter-dark .checkbox { - color: white; - cursor: not-allowed; } - html.theme--documenter-dark .radio + .radio { - margin-left: 0.5em; } - html.theme--documenter-dark .select { - display: inline-block; - max-width: 100%; - position: relative; - vertical-align: top; } - html.theme--documenter-dark .select:not(.is-multiple) { - height: 2.25em; } - html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after { - border-color: #1abc9c; - right: 1.125em; - z-index: 4; } - html.theme--documenter-dark .select.is-rounded select, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select select { - border-radius: 290486px; - padding-left: 1em; } - html.theme--documenter-dark .select select { - cursor: pointer; - display: block; - font-size: 1em; - max-width: 100%; - outline: none; } - html.theme--documenter-dark .select select::-ms-expand { - display: none; } - html.theme--documenter-dark .select select[disabled]:hover, fieldset[disabled] html.theme--documenter-dark .select select:hover { - border-color: #282f2f; } - html.theme--documenter-dark .select select:not([multiple]) { - padding-right: 2.5em; } - html.theme--documenter-dark .select select[multiple] { - height: auto; - padding: 0; } - html.theme--documenter-dark .select select[multiple] option { - padding: 0.5em 1em; } - html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading):hover::after { - border-color: #8c9b9d; } - html.theme--documenter-dark .select.is-white:not(:hover)::after { - border-color: white; } - html.theme--documenter-dark .select.is-white select { - border-color: white; } - html.theme--documenter-dark .select.is-white select:hover, html.theme--documenter-dark .select.is-white select.is-hovered { - border-color: #f2f2f2; } - html.theme--documenter-dark .select.is-white select:focus, html.theme--documenter-dark .select.is-white select.is-focused, html.theme--documenter-dark .select.is-white select:active, html.theme--documenter-dark .select.is-white select.is-active { - box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } - html.theme--documenter-dark .select.is-black:not(:hover)::after { - border-color: #0a0a0a; } - html.theme--documenter-dark .select.is-black select { - border-color: #0a0a0a; } - html.theme--documenter-dark .select.is-black select:hover, html.theme--documenter-dark .select.is-black select.is-hovered { - border-color: black; } - html.theme--documenter-dark .select.is-black select:focus, html.theme--documenter-dark .select.is-black select.is-focused, html.theme--documenter-dark .select.is-black select:active, html.theme--documenter-dark .select.is-black select.is-active { - box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } - html.theme--documenter-dark .select.is-light:not(:hover)::after { - border-color: #ecf0f1; } - html.theme--documenter-dark .select.is-light select { - border-color: #ecf0f1; } - html.theme--documenter-dark .select.is-light select:hover, html.theme--documenter-dark .select.is-light select.is-hovered { - border-color: #dde4e6; } - html.theme--documenter-dark .select.is-light select:focus, html.theme--documenter-dark .select.is-light select.is-focused, html.theme--documenter-dark .select.is-light select:active, html.theme--documenter-dark .select.is-light select.is-active { - box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); } - html.theme--documenter-dark .select.is-dark:not(:hover)::after, html.theme--documenter-dark .content kbd.select:not(:hover)::after { - border-color: #282f2f; } - html.theme--documenter-dark .select.is-dark select, html.theme--documenter-dark .content kbd.select select { - border-color: #282f2f; } - html.theme--documenter-dark .select.is-dark select:hover, html.theme--documenter-dark .content kbd.select select:hover, html.theme--documenter-dark .select.is-dark select.is-hovered, html.theme--documenter-dark .content kbd.select select.is-hovered { - border-color: #1d2122; } - html.theme--documenter-dark .select.is-dark select:focus, html.theme--documenter-dark .content kbd.select select:focus, html.theme--documenter-dark .select.is-dark select.is-focused, html.theme--documenter-dark .content kbd.select select.is-focused, html.theme--documenter-dark .select.is-dark select:active, html.theme--documenter-dark .content kbd.select select:active, html.theme--documenter-dark .select.is-dark select.is-active, html.theme--documenter-dark .content kbd.select select.is-active { - box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); } - html.theme--documenter-dark .select.is-primary:not(:hover)::after, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink:not(:hover)::after { - border-color: #375a7f; } - html.theme--documenter-dark .select.is-primary select, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select { - border-color: #375a7f; } - html.theme--documenter-dark .select.is-primary select:hover, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:hover, html.theme--documenter-dark .select.is-primary select.is-hovered, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-hovered { - border-color: #2f4d6d; } - html.theme--documenter-dark .select.is-primary select:focus, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:focus, html.theme--documenter-dark .select.is-primary select.is-focused, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-focused, html.theme--documenter-dark .select.is-primary select:active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:active, html.theme--documenter-dark .select.is-primary select.is-active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-active { - box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); } - html.theme--documenter-dark .select.is-link:not(:hover)::after { - border-color: #1abc9c; } - html.theme--documenter-dark .select.is-link select { - border-color: #1abc9c; } - html.theme--documenter-dark .select.is-link select:hover, html.theme--documenter-dark .select.is-link select.is-hovered { - border-color: #17a689; } - html.theme--documenter-dark .select.is-link select:focus, html.theme--documenter-dark .select.is-link select.is-focused, html.theme--documenter-dark .select.is-link select:active, html.theme--documenter-dark .select.is-link select.is-active { - box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } - html.theme--documenter-dark .select.is-info:not(:hover)::after { - border-color: #024c7d; } - html.theme--documenter-dark .select.is-info select { - border-color: #024c7d; } - html.theme--documenter-dark .select.is-info select:hover, html.theme--documenter-dark .select.is-info select.is-hovered { - border-color: #023d64; } - html.theme--documenter-dark .select.is-info select:focus, html.theme--documenter-dark .select.is-info select.is-focused, html.theme--documenter-dark .select.is-info select:active, html.theme--documenter-dark .select.is-info select.is-active { - box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); } - html.theme--documenter-dark .select.is-success:not(:hover)::after { - border-color: #008438; } - html.theme--documenter-dark .select.is-success select { - border-color: #008438; } - html.theme--documenter-dark .select.is-success select:hover, html.theme--documenter-dark .select.is-success select.is-hovered { - border-color: #006b2d; } - html.theme--documenter-dark .select.is-success select:focus, html.theme--documenter-dark .select.is-success select.is-focused, html.theme--documenter-dark .select.is-success select:active, html.theme--documenter-dark .select.is-success select.is-active { - box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); } - html.theme--documenter-dark .select.is-warning:not(:hover)::after { - border-color: #ad8100; } - html.theme--documenter-dark .select.is-warning select { - border-color: #ad8100; } - html.theme--documenter-dark .select.is-warning select:hover, html.theme--documenter-dark .select.is-warning select.is-hovered { - border-color: #946e00; } - html.theme--documenter-dark .select.is-warning select:focus, html.theme--documenter-dark .select.is-warning select.is-focused, html.theme--documenter-dark .select.is-warning select:active, html.theme--documenter-dark .select.is-warning select.is-active { - box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); } - html.theme--documenter-dark .select.is-danger:not(:hover)::after { - border-color: #9e1b0d; } - html.theme--documenter-dark .select.is-danger select { - border-color: #9e1b0d; } - html.theme--documenter-dark .select.is-danger select:hover, html.theme--documenter-dark .select.is-danger select.is-hovered { - border-color: #86170b; } - html.theme--documenter-dark .select.is-danger select:focus, html.theme--documenter-dark .select.is-danger select.is-focused, html.theme--documenter-dark .select.is-danger select:active, html.theme--documenter-dark .select.is-danger select.is-active { - box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); } - html.theme--documenter-dark .select.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select { - border-radius: 3px; - font-size: 0.85em; } - html.theme--documenter-dark .select.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .select.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .select.is-disabled::after { - border-color: white; } - html.theme--documenter-dark .select.is-fullwidth { - width: 100%; } - html.theme--documenter-dark .select.is-fullwidth select { - width: 100%; } - html.theme--documenter-dark .select.is-loading::after { - margin-top: 0; - position: absolute; - right: 0.625em; - top: 0.625em; - transform: none; } - html.theme--documenter-dark .select.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after { - font-size: 0.85em; } - html.theme--documenter-dark .select.is-loading.is-medium:after { - font-size: 1.25rem; } - html.theme--documenter-dark .select.is-loading.is-large:after { - font-size: 1.5rem; } - html.theme--documenter-dark .file { - align-items: stretch; - display: flex; - justify-content: flex-start; - position: relative; } - html.theme--documenter-dark .file.is-white .file-cta { - background-color: white; - border-color: transparent; - color: #0a0a0a; } - html.theme--documenter-dark .file.is-white:hover .file-cta, html.theme--documenter-dark .file.is-white.is-hovered .file-cta { - background-color: #f9f9f9; - border-color: transparent; - color: #0a0a0a; } - html.theme--documenter-dark .file.is-white:focus .file-cta, html.theme--documenter-dark .file.is-white.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25); - color: #0a0a0a; } - html.theme--documenter-dark .file.is-white:active .file-cta, html.theme--documenter-dark .file.is-white.is-active .file-cta { - background-color: #f2f2f2; - border-color: transparent; - color: #0a0a0a; } - html.theme--documenter-dark .file.is-black .file-cta { - background-color: #0a0a0a; - border-color: transparent; - color: white; } - html.theme--documenter-dark .file.is-black:hover .file-cta, html.theme--documenter-dark .file.is-black.is-hovered .file-cta { - background-color: #040404; - border-color: transparent; - color: white; } - html.theme--documenter-dark .file.is-black:focus .file-cta, html.theme--documenter-dark .file.is-black.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25); - color: white; } - html.theme--documenter-dark .file.is-black:active .file-cta, html.theme--documenter-dark .file.is-black.is-active .file-cta { - background-color: black; - border-color: transparent; - color: white; } - html.theme--documenter-dark .file.is-light .file-cta { - background-color: #ecf0f1; - border-color: transparent; - color: #282f2f; } - html.theme--documenter-dark .file.is-light:hover .file-cta, html.theme--documenter-dark .file.is-light.is-hovered .file-cta { - background-color: #e5eaec; - border-color: transparent; - color: #282f2f; } - html.theme--documenter-dark .file.is-light:focus .file-cta, html.theme--documenter-dark .file.is-light.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(236, 240, 241, 0.25); - color: #282f2f; } - html.theme--documenter-dark .file.is-light:active .file-cta, html.theme--documenter-dark .file.is-light.is-active .file-cta { - background-color: #dde4e6; - border-color: transparent; - color: #282f2f; } - html.theme--documenter-dark .file.is-dark .file-cta, html.theme--documenter-dark .content kbd.file .file-cta { - background-color: #282f2f; - border-color: transparent; - color: #ecf0f1; } - html.theme--documenter-dark .file.is-dark:hover .file-cta, html.theme--documenter-dark .content kbd.file:hover .file-cta, html.theme--documenter-dark .file.is-dark.is-hovered .file-cta, html.theme--documenter-dark .content kbd.file.is-hovered .file-cta { - background-color: #232829; - border-color: transparent; - color: #ecf0f1; } - html.theme--documenter-dark .file.is-dark:focus .file-cta, html.theme--documenter-dark .content kbd.file:focus .file-cta, html.theme--documenter-dark .file.is-dark.is-focused .file-cta, html.theme--documenter-dark .content kbd.file.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(40, 47, 47, 0.25); - color: #ecf0f1; } - html.theme--documenter-dark .file.is-dark:active .file-cta, html.theme--documenter-dark .content kbd.file:active .file-cta, html.theme--documenter-dark .file.is-dark.is-active .file-cta, html.theme--documenter-dark .content kbd.file.is-active .file-cta { - background-color: #1d2122; - border-color: transparent; - color: #ecf0f1; } - html.theme--documenter-dark .file.is-primary .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink .file-cta { - background-color: #375a7f; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-primary:hover .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:hover .file-cta, html.theme--documenter-dark .file.is-primary.is-hovered .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta { - background-color: #335476; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-primary:focus .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:focus .file-cta, html.theme--documenter-dark .file.is-primary.is-focused .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-focused.docs-sourcelink .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(55, 90, 127, 0.25); - color: #fff; } - html.theme--documenter-dark .file.is-primary:active .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:active .file-cta, html.theme--documenter-dark .file.is-primary.is-active .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-active.docs-sourcelink .file-cta { - background-color: #2f4d6d; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-link .file-cta { - background-color: #1abc9c; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-link:hover .file-cta, html.theme--documenter-dark .file.is-link.is-hovered .file-cta { - background-color: #18b193; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-link:focus .file-cta, html.theme--documenter-dark .file.is-link.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(26, 188, 156, 0.25); - color: #fff; } - html.theme--documenter-dark .file.is-link:active .file-cta, html.theme--documenter-dark .file.is-link.is-active .file-cta { - background-color: #17a689; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-info .file-cta { - background-color: #024c7d; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-info:hover .file-cta, html.theme--documenter-dark .file.is-info.is-hovered .file-cta { - background-color: #024470; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-info:focus .file-cta, html.theme--documenter-dark .file.is-info.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(2, 76, 125, 0.25); - color: #fff; } - html.theme--documenter-dark .file.is-info:active .file-cta, html.theme--documenter-dark .file.is-info.is-active .file-cta { - background-color: #023d64; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-success .file-cta { - background-color: #008438; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-success:hover .file-cta, html.theme--documenter-dark .file.is-success.is-hovered .file-cta { - background-color: #007733; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-success:focus .file-cta, html.theme--documenter-dark .file.is-success.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(0, 132, 56, 0.25); - color: #fff; } - html.theme--documenter-dark .file.is-success:active .file-cta, html.theme--documenter-dark .file.is-success.is-active .file-cta { - background-color: #006b2d; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-warning .file-cta { - background-color: #ad8100; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-warning:hover .file-cta, html.theme--documenter-dark .file.is-warning.is-hovered .file-cta { - background-color: #a07700; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-warning:focus .file-cta, html.theme--documenter-dark .file.is-warning.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(173, 129, 0, 0.25); - color: #fff; } - html.theme--documenter-dark .file.is-warning:active .file-cta, html.theme--documenter-dark .file.is-warning.is-active .file-cta { - background-color: #946e00; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-danger .file-cta { - background-color: #9e1b0d; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-danger:hover .file-cta, html.theme--documenter-dark .file.is-danger.is-hovered .file-cta { - background-color: #92190c; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-danger:focus .file-cta, html.theme--documenter-dark .file.is-danger.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(158, 27, 13, 0.25); - color: #fff; } - html.theme--documenter-dark .file.is-danger:active .file-cta, html.theme--documenter-dark .file.is-danger.is-active .file-cta { - background-color: #86170b; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.file { - font-size: 0.85em; } - html.theme--documenter-dark .file.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .file.is-medium .file-icon .fa { - font-size: 21px; } - html.theme--documenter-dark .file.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .file.is-large .file-icon .fa { - font-size: 28px; } - html.theme--documenter-dark .file.has-name .file-cta { - border-bottom-right-radius: 0; - border-top-right-radius: 0; } - html.theme--documenter-dark .file.has-name .file-name { - border-bottom-left-radius: 0; - border-top-left-radius: 0; } - html.theme--documenter-dark .file.has-name.is-empty .file-cta { - border-radius: 0.4em; } - html.theme--documenter-dark .file.has-name.is-empty .file-name { - display: none; } - html.theme--documenter-dark .file.is-boxed .file-label { - flex-direction: column; } - html.theme--documenter-dark .file.is-boxed .file-cta { - flex-direction: column; - height: auto; - padding: 1em 3em; } - html.theme--documenter-dark .file.is-boxed .file-name { - border-width: 0 1px 1px; } - html.theme--documenter-dark .file.is-boxed .file-icon { - height: 1.5em; - width: 1.5em; } - html.theme--documenter-dark .file.is-boxed .file-icon .fa { - font-size: 21px; } - html.theme--documenter-dark .file.is-boxed.is-small .file-icon .fa, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa { - font-size: 14px; } - html.theme--documenter-dark .file.is-boxed.is-medium .file-icon .fa { - font-size: 28px; } - html.theme--documenter-dark .file.is-boxed.is-large .file-icon .fa { - font-size: 35px; } - html.theme--documenter-dark .file.is-boxed.has-name .file-cta { - border-radius: 0.4em 0.4em 0 0; } - html.theme--documenter-dark .file.is-boxed.has-name .file-name { - border-radius: 0 0 0.4em 0.4em; - border-width: 0 1px 1px; } - html.theme--documenter-dark .file.is-centered { - justify-content: center; } - html.theme--documenter-dark .file.is-fullwidth .file-label { - width: 100%; } - html.theme--documenter-dark .file.is-fullwidth .file-name { - flex-grow: 1; - max-width: none; } - html.theme--documenter-dark .file.is-right { - justify-content: flex-end; } - html.theme--documenter-dark .file.is-right .file-cta { - border-radius: 0 0.4em 0.4em 0; } - html.theme--documenter-dark .file.is-right .file-name { - border-radius: 0.4em 0 0 0.4em; - border-width: 1px 0 1px 1px; - order: -1; } - html.theme--documenter-dark .file-label { - align-items: stretch; - display: flex; - cursor: pointer; - justify-content: flex-start; - overflow: hidden; - position: relative; } - html.theme--documenter-dark .file-label:hover .file-cta { - background-color: #e5eaec; - color: #282f2f; } - html.theme--documenter-dark .file-label:hover .file-name { - border-color: #596668; } - html.theme--documenter-dark .file-label:active .file-cta { - background-color: #dde4e6; - color: #282f2f; } - html.theme--documenter-dark .file-label:active .file-name { - border-color: #535f61; } - html.theme--documenter-dark .file-input { - height: 100%; - left: 0; - opacity: 0; - outline: none; - position: absolute; - top: 0; - width: 100%; } - html.theme--documenter-dark .file-cta, - html.theme--documenter-dark .file-name { - border-color: #5e6d6f; - border-radius: 0.4em; - font-size: 1em; - padding-left: 1em; - padding-right: 1em; - white-space: nowrap; } - html.theme--documenter-dark .file-cta { - background-color: #ecf0f1; - color: #343c3d; } - html.theme--documenter-dark .file-name { - border-color: #5e6d6f; - border-style: solid; - border-width: 1px 1px 1px 0; - display: block; - max-width: 16em; - overflow: hidden; - text-align: left; - text-overflow: ellipsis; } - html.theme--documenter-dark .file-icon { - align-items: center; - display: flex; - height: 1em; - justify-content: center; - margin-right: 0.5em; - width: 1em; } - html.theme--documenter-dark .file-icon .fa { - font-size: 14px; } - html.theme--documenter-dark .label { - color: #282f2f; - display: block; - font-size: 15px; - font-weight: 700; } - html.theme--documenter-dark .label:not(:last-child) { - margin-bottom: 0.5em; } - html.theme--documenter-dark .label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.label { - font-size: 0.85em; } - html.theme--documenter-dark .label.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .label.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .help { - display: block; - font-size: 0.85em; - margin-top: 0.25rem; } - html.theme--documenter-dark .help.is-white { - color: white; } - html.theme--documenter-dark .help.is-black { - color: #0a0a0a; } - html.theme--documenter-dark .help.is-light { - color: #ecf0f1; } - html.theme--documenter-dark .help.is-dark, html.theme--documenter-dark .content kbd.help { - color: #282f2f; } - html.theme--documenter-dark .help.is-primary, html.theme--documenter-dark .docstring > section > a.help.docs-sourcelink { - color: #375a7f; } - html.theme--documenter-dark .help.is-link { - color: #1abc9c; } - html.theme--documenter-dark .help.is-info { - color: #024c7d; } - html.theme--documenter-dark .help.is-success { - color: #008438; } - html.theme--documenter-dark .help.is-warning { - color: #ad8100; } - html.theme--documenter-dark .help.is-danger { - color: #9e1b0d; } - html.theme--documenter-dark .field:not(:last-child) { - margin-bottom: 0.75rem; } - html.theme--documenter-dark .field.has-addons { - display: flex; - justify-content: flex-start; } - html.theme--documenter-dark .field.has-addons .control:not(:last-child) { - margin-right: -1px; } - html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .button, - html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .input, - html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input, - html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .select select { - border-radius: 0; } - html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .button, - html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .input, - html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input, - html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .select select { - border-bottom-right-radius: 0; - border-top-right-radius: 0; } - html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .button, - html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .input, - html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input, - html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .select select { - border-bottom-left-radius: 0; - border-top-left-radius: 0; } - html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button.is-hovered:not([disabled]), - html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):hover, - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover, - html.theme--documenter-dark .field.has-addons .control .input.is-hovered:not([disabled]), - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]), - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]), - html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):hover, - html.theme--documenter-dark .field.has-addons .control .select select.is-hovered:not([disabled]) { - z-index: 2; } - html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]), html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]), - html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus, - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus, - html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]), - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]), - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]), - html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active, - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active, - html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]), - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]), - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]), - html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus, - html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]), - html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active, - html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]) { - z-index: 3; } - html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus:hover, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active:hover, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]):hover, - html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus:hover, - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover, - html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]):hover, - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover, - html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active:hover, - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover, - html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]):hover, - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover, - html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus:hover, - html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]):hover, - html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active:hover, - html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]):hover { - z-index: 4; } - html.theme--documenter-dark .field.has-addons .control.is-expanded { - flex-grow: 1; - flex-shrink: 1; } - html.theme--documenter-dark .field.has-addons.has-addons-centered { - justify-content: center; } - html.theme--documenter-dark .field.has-addons.has-addons-right { - justify-content: flex-end; } - html.theme--documenter-dark .field.has-addons.has-addons-fullwidth .control { - flex-grow: 1; - flex-shrink: 0; } - html.theme--documenter-dark .field.is-grouped { - display: flex; - justify-content: flex-start; } - html.theme--documenter-dark .field.is-grouped > .control { - flex-shrink: 0; } - html.theme--documenter-dark .field.is-grouped > .control:not(:last-child) { - margin-bottom: 0; - margin-right: 0.75rem; } - html.theme--documenter-dark .field.is-grouped > .control.is-expanded { - flex-grow: 1; - flex-shrink: 1; } - html.theme--documenter-dark .field.is-grouped.is-grouped-centered { - justify-content: center; } - html.theme--documenter-dark .field.is-grouped.is-grouped-right { - justify-content: flex-end; } - html.theme--documenter-dark .field.is-grouped.is-grouped-multiline { - flex-wrap: wrap; } - html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:last-child, html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:not(:last-child) { - margin-bottom: 0.75rem; } - html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:last-child { - margin-bottom: -0.75rem; } - html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:not(:last-child) { - margin-bottom: 0; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .field.is-horizontal { - display: flex; } } - html.theme--documenter-dark .field-label .label { - font-size: inherit; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .field-label { - margin-bottom: 0.5rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .field-label { - flex-basis: 0; - flex-grow: 1; - flex-shrink: 0; - margin-right: 1.5rem; - text-align: right; } - html.theme--documenter-dark .field-label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.field-label { - font-size: 0.85em; - padding-top: 0.375em; } - html.theme--documenter-dark .field-label.is-normal { - padding-top: 0.375em; } - html.theme--documenter-dark .field-label.is-medium { - font-size: 1.25rem; - padding-top: 0.375em; } - html.theme--documenter-dark .field-label.is-large { - font-size: 1.5rem; - padding-top: 0.375em; } } - html.theme--documenter-dark .field-body .field .field { - margin-bottom: 0; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .field-body { - display: flex; - flex-basis: 0; - flex-grow: 5; - flex-shrink: 1; } - html.theme--documenter-dark .field-body .field { - margin-bottom: 0; } - html.theme--documenter-dark .field-body > .field { - flex-shrink: 1; } - html.theme--documenter-dark .field-body > .field:not(.is-narrow) { - flex-grow: 1; } - html.theme--documenter-dark .field-body > .field:not(:last-child) { - margin-right: 0.75rem; } } - html.theme--documenter-dark .control { - box-sizing: border-box; - clear: both; - font-size: 15px; - position: relative; - text-align: left; } - html.theme--documenter-dark .control.has-icons-left .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon, - html.theme--documenter-dark .control.has-icons-left .select:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon, - html.theme--documenter-dark .control.has-icons-right .select:focus ~ .icon { - color: #5e6d6f; } - html.theme--documenter-dark .control.has-icons-left .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon, - html.theme--documenter-dark .control.has-icons-left .select.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon, - html.theme--documenter-dark .control.has-icons-right .select.is-small ~ .icon { - font-size: 0.85em; } - html.theme--documenter-dark .control.has-icons-left .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon, - html.theme--documenter-dark .control.has-icons-left .select.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon, - html.theme--documenter-dark .control.has-icons-right .select.is-medium ~ .icon { - font-size: 1.25rem; } - html.theme--documenter-dark .control.has-icons-left .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon, - html.theme--documenter-dark .control.has-icons-left .select.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon, - html.theme--documenter-dark .control.has-icons-right .select.is-large ~ .icon { - font-size: 1.5rem; } - html.theme--documenter-dark .control.has-icons-left .icon, html.theme--documenter-dark .control.has-icons-right .icon { - color: #dbdee0; - height: 2.25em; - pointer-events: none; - position: absolute; - top: 0; - width: 2.25em; - z-index: 4; } - html.theme--documenter-dark .control.has-icons-left .input, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input, - html.theme--documenter-dark .control.has-icons-left .select select { - padding-left: 2.25em; } - html.theme--documenter-dark .control.has-icons-left .icon.is-left { - left: 0; } - html.theme--documenter-dark .control.has-icons-right .input, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input, - html.theme--documenter-dark .control.has-icons-right .select select { - padding-right: 2.25em; } - html.theme--documenter-dark .control.has-icons-right .icon.is-right { - right: 0; } - html.theme--documenter-dark .control.is-loading::after { - position: absolute !important; - right: 0.625em; - top: 0.625em; - z-index: 4; } - html.theme--documenter-dark .control.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after { - font-size: 0.85em; } - html.theme--documenter-dark .control.is-loading.is-medium:after { - font-size: 1.25rem; } - html.theme--documenter-dark .control.is-loading.is-large:after { - font-size: 1.5rem; } - html.theme--documenter-dark .breadcrumb { - font-size: 15px; - white-space: nowrap; } - html.theme--documenter-dark .breadcrumb a { - align-items: center; - color: #1abc9c; - display: flex; - justify-content: center; - padding: 0 0.75em; } - html.theme--documenter-dark .breadcrumb a:hover { - color: #1dd2af; } - html.theme--documenter-dark .breadcrumb li { - align-items: center; - display: flex; } - html.theme--documenter-dark .breadcrumb li:first-child a { - padding-left: 0; } - html.theme--documenter-dark .breadcrumb li.is-active a { - color: #f2f2f2; - cursor: default; - pointer-events: none; } - html.theme--documenter-dark .breadcrumb li + li::before { - color: #8c9b9d; - content: "\0002f"; } - html.theme--documenter-dark .breadcrumb ul, - html.theme--documenter-dark .breadcrumb ol { - align-items: flex-start; - display: flex; - flex-wrap: wrap; - justify-content: flex-start; } - html.theme--documenter-dark .breadcrumb .icon:first-child { - margin-right: 0.5em; } - html.theme--documenter-dark .breadcrumb .icon:last-child { - margin-left: 0.5em; } - html.theme--documenter-dark .breadcrumb.is-centered ol, - html.theme--documenter-dark .breadcrumb.is-centered ul { - justify-content: center; } - html.theme--documenter-dark .breadcrumb.is-right ol, - html.theme--documenter-dark .breadcrumb.is-right ul { - justify-content: flex-end; } - html.theme--documenter-dark .breadcrumb.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.breadcrumb { - font-size: 0.85em; } - html.theme--documenter-dark .breadcrumb.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .breadcrumb.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .breadcrumb.has-arrow-separator li + li::before { - content: "\02192"; } - html.theme--documenter-dark .breadcrumb.has-bullet-separator li + li::before { - content: "\02022"; } - html.theme--documenter-dark .breadcrumb.has-dot-separator li + li::before { - content: "\000b7"; } - html.theme--documenter-dark .breadcrumb.has-succeeds-separator li + li::before { - content: "\0227B"; } - html.theme--documenter-dark .card { - background-color: white; - box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); - color: #fff; - max-width: 100%; - position: relative; } - html.theme--documenter-dark .card-header { - background-color: transparent; - align-items: stretch; - box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1); - display: flex; } - html.theme--documenter-dark .card-header-title { - align-items: center; - color: #f2f2f2; - display: flex; - flex-grow: 1; - font-weight: 700; - padding: 0.75rem; } - html.theme--documenter-dark .card-header-title.is-centered { - justify-content: center; } - html.theme--documenter-dark .card-header-icon { - align-items: center; - cursor: pointer; - display: flex; - justify-content: center; - padding: 0.75rem; } - html.theme--documenter-dark .card-image { - display: block; - position: relative; } - html.theme--documenter-dark .card-content { - background-color: transparent; - padding: 1.5rem; } - html.theme--documenter-dark .card-footer { - background-color: transparent; - border-top: 1px solid #5e6d6f; - align-items: stretch; - display: flex; } - html.theme--documenter-dark .card-footer-item { - align-items: center; - display: flex; - flex-basis: 0; - flex-grow: 1; - flex-shrink: 0; - justify-content: center; - padding: 0.75rem; } - html.theme--documenter-dark .card-footer-item:not(:last-child) { - border-right: 1px solid #5e6d6f; } - html.theme--documenter-dark .card .media:not(:last-child) { - margin-bottom: 1.5rem; } - html.theme--documenter-dark .dropdown { - display: inline-flex; - position: relative; - vertical-align: top; } - html.theme--documenter-dark .dropdown.is-active .dropdown-menu, html.theme--documenter-dark .dropdown.is-hoverable:hover .dropdown-menu { - display: block; } - html.theme--documenter-dark .dropdown.is-right .dropdown-menu { - left: auto; - right: 0; } - html.theme--documenter-dark .dropdown.is-up .dropdown-menu { - bottom: 100%; - padding-bottom: 4px; - padding-top: initial; - top: auto; } - html.theme--documenter-dark .dropdown-menu { - display: none; - left: 0; - min-width: 12rem; - padding-top: 4px; - position: absolute; - top: 100%; - z-index: 20; } - html.theme--documenter-dark .dropdown-content { - background-color: #282f2f; - border-radius: 0.4em; - box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); - padding-bottom: 0.5rem; - padding-top: 0.5rem; } - html.theme--documenter-dark .dropdown-item { - color: #fff; - display: block; - font-size: 0.875rem; - line-height: 1.5; - padding: 0.375rem 1rem; - position: relative; } - html.theme--documenter-dark a.dropdown-item, - html.theme--documenter-dark button.dropdown-item { - padding-right: 3rem; - text-align: left; - white-space: nowrap; - width: 100%; } - html.theme--documenter-dark a.dropdown-item:hover, - html.theme--documenter-dark button.dropdown-item:hover { - background-color: #282f2f; - color: #0a0a0a; } - html.theme--documenter-dark a.dropdown-item.is-active, - html.theme--documenter-dark button.dropdown-item.is-active { - background-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .dropdown-divider { - background-color: #5e6d6f; - border: none; - display: block; - height: 1px; - margin: 0.5rem 0; } - html.theme--documenter-dark .level { - align-items: center; - justify-content: space-between; } - html.theme--documenter-dark .level code { - border-radius: 0.4em; } - html.theme--documenter-dark .level img { - display: inline-block; - vertical-align: top; } - html.theme--documenter-dark .level.is-mobile { - display: flex; } - html.theme--documenter-dark .level.is-mobile .level-left, - html.theme--documenter-dark .level.is-mobile .level-right { - display: flex; } - html.theme--documenter-dark .level.is-mobile .level-left + .level-right { - margin-top: 0; } - html.theme--documenter-dark .level.is-mobile .level-item:not(:last-child) { - margin-bottom: 0; - margin-right: 0.75rem; } - html.theme--documenter-dark .level.is-mobile .level-item:not(.is-narrow) { - flex-grow: 1; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .level { - display: flex; } - html.theme--documenter-dark .level > .level-item:not(.is-narrow) { - flex-grow: 1; } } - html.theme--documenter-dark .level-item { - align-items: center; - display: flex; - flex-basis: auto; - flex-grow: 0; - flex-shrink: 0; - justify-content: center; } - html.theme--documenter-dark .level-item .title, - html.theme--documenter-dark .level-item .subtitle { - margin-bottom: 0; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .level-item:not(:last-child) { - margin-bottom: 0.75rem; } } - html.theme--documenter-dark .level-left, - html.theme--documenter-dark .level-right { - flex-basis: auto; - flex-grow: 0; - flex-shrink: 0; } - html.theme--documenter-dark .level-left .level-item.is-flexible, - html.theme--documenter-dark .level-right .level-item.is-flexible { - flex-grow: 1; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .level-left .level-item:not(:last-child), - html.theme--documenter-dark .level-right .level-item:not(:last-child) { - margin-right: 0.75rem; } } - html.theme--documenter-dark .level-left { - align-items: center; - justify-content: flex-start; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .level-left + .level-right { - margin-top: 1.5rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .level-left { - display: flex; } } - html.theme--documenter-dark .level-right { - align-items: center; - justify-content: flex-end; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .level-right { - display: flex; } } - html.theme--documenter-dark .list { - background-color: white; - border-radius: 0.4em; - box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .list-item { - display: block; - padding: 0.5em 1em; } - html.theme--documenter-dark .list-item:not(a) { - color: #fff; } - html.theme--documenter-dark .list-item:first-child { - border-top-left-radius: 0.4em; - border-top-right-radius: 0.4em; } - html.theme--documenter-dark .list-item:last-child { - border-bottom-left-radius: 0.4em; - border-bottom-right-radius: 0.4em; } - html.theme--documenter-dark .list-item:not(:last-child) { - border-bottom: 1px solid #5e6d6f; } - html.theme--documenter-dark .list-item.is-active { - background-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark a.list-item { - background-color: #282f2f; - cursor: pointer; } - html.theme--documenter-dark .media { - align-items: flex-start; - display: flex; - text-align: left; } - html.theme--documenter-dark .media .content:not(:last-child) { - margin-bottom: 0.75rem; } - html.theme--documenter-dark .media .media { - border-top: 1px solid rgba(94, 109, 111, 0.5); - display: flex; - padding-top: 0.75rem; } - html.theme--documenter-dark .media .media .content:not(:last-child), - html.theme--documenter-dark .media .media .control:not(:last-child) { - margin-bottom: 0.5rem; } - html.theme--documenter-dark .media .media .media { - padding-top: 0.5rem; } - html.theme--documenter-dark .media .media .media + .media { - margin-top: 0.5rem; } - html.theme--documenter-dark .media + .media { - border-top: 1px solid rgba(94, 109, 111, 0.5); - margin-top: 1rem; - padding-top: 1rem; } - html.theme--documenter-dark .media.is-large + .media { - margin-top: 1.5rem; - padding-top: 1.5rem; } - html.theme--documenter-dark .media-left, - html.theme--documenter-dark .media-right { - flex-basis: auto; - flex-grow: 0; - flex-shrink: 0; } - html.theme--documenter-dark .media-left { - margin-right: 1rem; } - html.theme--documenter-dark .media-right { - margin-left: 1rem; } - html.theme--documenter-dark .media-content { - flex-basis: auto; - flex-grow: 1; - flex-shrink: 1; - text-align: left; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .media-content { - overflow-x: auto; } } - html.theme--documenter-dark .menu { - font-size: 15px; } - html.theme--documenter-dark .menu.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.menu { - font-size: 0.85em; } - html.theme--documenter-dark .menu.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .menu.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .menu-list { - line-height: 1.25; } - html.theme--documenter-dark .menu-list a { - border-radius: 3px; - color: #fff; - display: block; - padding: 0.5em 0.75em; } - html.theme--documenter-dark .menu-list a:hover { - background-color: #282f2f; - color: #f2f2f2; } - html.theme--documenter-dark .menu-list a.is-active { - background-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .menu-list li ul { - border-left: 1px solid #5e6d6f; - margin: 0.75em; - padding-left: 0.75em; } - html.theme--documenter-dark .menu-label { - color: white; - font-size: 0.75em; - letter-spacing: 0.1em; - text-transform: uppercase; } - html.theme--documenter-dark .menu-label:not(:first-child) { - margin-top: 1em; } - html.theme--documenter-dark .menu-label:not(:last-child) { - margin-bottom: 1em; } - html.theme--documenter-dark .message { - background-color: #282f2f; - border-radius: 0.4em; - font-size: 15px; } - html.theme--documenter-dark .message strong { - color: currentColor; } - html.theme--documenter-dark .message a:not(.button):not(.tag):not(.dropdown-item) { - color: currentColor; - text-decoration: underline; } - html.theme--documenter-dark .message.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.message { - font-size: 0.85em; } - html.theme--documenter-dark .message.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .message.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .message.is-white { - background-color: white; } - html.theme--documenter-dark .message.is-white .message-header { - background-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .message.is-white .message-body { - border-color: white; - color: #4d4d4d; } - html.theme--documenter-dark .message.is-black { - background-color: #fafafa; } - html.theme--documenter-dark .message.is-black .message-header { - background-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .message.is-black .message-body { - border-color: #0a0a0a; - color: #090909; } - html.theme--documenter-dark .message.is-light { - background-color: #f9fafb; } - html.theme--documenter-dark .message.is-light .message-header { - background-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .message.is-light .message-body { - border-color: #ecf0f1; - color: #505050; } - html.theme--documenter-dark .message.is-dark, html.theme--documenter-dark .content kbd.message { - background-color: #f9fafa; } - html.theme--documenter-dark .message.is-dark .message-header, html.theme--documenter-dark .content kbd.message .message-header { - background-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .message.is-dark .message-body, html.theme--documenter-dark .content kbd.message .message-body { - border-color: #282f2f; - color: #212526; } - html.theme--documenter-dark .message.is-primary, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink { - background-color: #f8fafc; } - html.theme--documenter-dark .message.is-primary .message-header, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-header { - background-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .message.is-primary .message-body, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-body { - border-color: #375a7f; - color: #2b4159; } - html.theme--documenter-dark .message.is-link { - background-color: #f6fefc; } - html.theme--documenter-dark .message.is-link .message-header { - background-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .message.is-link .message-body { - border-color: #1abc9c; - color: #0b2f28; } - html.theme--documenter-dark .message.is-info { - background-color: #f5fbff; } - html.theme--documenter-dark .message.is-info .message-header { - background-color: #024c7d; - color: #fff; } - html.theme--documenter-dark .message.is-info .message-body { - border-color: #024c7d; - color: #033659; } - html.theme--documenter-dark .message.is-success { - background-color: #f5fff9; } - html.theme--documenter-dark .message.is-success .message-header { - background-color: #008438; - color: #fff; } - html.theme--documenter-dark .message.is-success .message-body { - border-color: #008438; - color: #023518; } - html.theme--documenter-dark .message.is-warning { - background-color: #fffcf5; } - html.theme--documenter-dark .message.is-warning .message-header { - background-color: #ad8100; - color: #fff; } - html.theme--documenter-dark .message.is-warning .message-body { - border-color: #ad8100; - color: #3d2e03; } - html.theme--documenter-dark .message.is-danger { - background-color: #fef6f6; } - html.theme--documenter-dark .message.is-danger .message-header { - background-color: #9e1b0d; - color: #fff; } - html.theme--documenter-dark .message.is-danger .message-body { - border-color: #9e1b0d; - color: #7a170c; } - html.theme--documenter-dark .message-header { - align-items: center; - background-color: #fff; - border-radius: 0.4em 0.4em 0 0; - color: rgba(0, 0, 0, 0.7); - display: flex; - font-weight: 700; - justify-content: space-between; - line-height: 1.25; - padding: 0.75em 1em; - position: relative; } - html.theme--documenter-dark .message-header .delete { - flex-grow: 0; - flex-shrink: 0; - margin-left: 0.75em; } - html.theme--documenter-dark .message-header + .message-body { - border-width: 0; - border-top-left-radius: 0; - border-top-right-radius: 0; } - html.theme--documenter-dark .message-body { - border-color: #5e6d6f; - border-radius: 0.4em; - border-style: solid; - border-width: 0 0 0 4px; - color: #fff; - padding: 1.25em 1.5em; } - html.theme--documenter-dark .message-body code, - html.theme--documenter-dark .message-body pre { - background-color: white; } - html.theme--documenter-dark .message-body pre code { - background-color: transparent; } - html.theme--documenter-dark .modal { - align-items: center; - display: none; - flex-direction: column; - justify-content: center; - overflow: hidden; - position: fixed; - z-index: 40; } - html.theme--documenter-dark .modal.is-active { - display: flex; } - html.theme--documenter-dark .modal-background { - background-color: rgba(10, 10, 10, 0.86); } - html.theme--documenter-dark .modal-content, - html.theme--documenter-dark .modal-card { - margin: 0 20px; - max-height: calc(100vh - 160px); - overflow: auto; - position: relative; - width: 100%; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .modal-content, - html.theme--documenter-dark .modal-card { - margin: 0 auto; - max-height: calc(100vh - 40px); - width: 640px; } } - html.theme--documenter-dark .modal-close { - background: none; - height: 40px; - position: fixed; - right: 20px; - top: 20px; - width: 40px; } - html.theme--documenter-dark .modal-card { - display: flex; - flex-direction: column; - max-height: calc(100vh - 40px); - overflow: hidden; - -ms-overflow-y: visible; } - html.theme--documenter-dark .modal-card-head, - html.theme--documenter-dark .modal-card-foot { - align-items: center; - background-color: #282f2f; - display: flex; - flex-shrink: 0; - justify-content: flex-start; - padding: 20px; - position: relative; } - html.theme--documenter-dark .modal-card-head { - border-bottom: 1px solid #5e6d6f; - border-top-left-radius: 8px; - border-top-right-radius: 8px; } - html.theme--documenter-dark .modal-card-title { - color: #f2f2f2; - flex-grow: 1; - flex-shrink: 0; - font-size: 1.5rem; - line-height: 1; } - html.theme--documenter-dark .modal-card-foot { - border-bottom-left-radius: 8px; - border-bottom-right-radius: 8px; - border-top: 1px solid #5e6d6f; } - html.theme--documenter-dark .modal-card-foot .button:not(:last-child) { - margin-right: 0.5em; } - html.theme--documenter-dark .modal-card-body { - -webkit-overflow-scrolling: touch; - background-color: white; - flex-grow: 1; - flex-shrink: 1; - overflow: auto; - padding: 20px; } - html.theme--documenter-dark .navbar { - background-color: #375a7f; - min-height: 4rem; - position: relative; - z-index: 30; } - html.theme--documenter-dark .navbar.is-white { - background-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .navbar.is-white .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link { - color: #0a0a0a; } - html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link.is-active { - background-color: #f2f2f2; - color: #0a0a0a; } - html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link::after { - border-color: #0a0a0a; } - html.theme--documenter-dark .navbar.is-white .navbar-burger { - color: #0a0a0a; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-white .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-white .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link { - color: #0a0a0a; } - html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link.is-active { - background-color: #f2f2f2; - color: #0a0a0a; } - html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link::after { - border-color: #0a0a0a; } - html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #f2f2f2; - color: #0a0a0a; } - html.theme--documenter-dark .navbar.is-white .navbar-dropdown a.navbar-item.is-active { - background-color: white; - color: #0a0a0a; } } - html.theme--documenter-dark .navbar.is-black { - background-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .navbar.is-black .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link { - color: white; } - html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link.is-active { - background-color: black; - color: white; } - html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link::after { - border-color: white; } - html.theme--documenter-dark .navbar.is-black .navbar-burger { - color: white; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-black .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-black .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link { - color: white; } - html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link.is-active { - background-color: black; - color: white; } - html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link::after { - border-color: white; } - html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link { - background-color: black; - color: white; } - html.theme--documenter-dark .navbar.is-black .navbar-dropdown a.navbar-item.is-active { - background-color: #0a0a0a; - color: white; } } - html.theme--documenter-dark .navbar.is-light { - background-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .navbar.is-light .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link { - color: #282f2f; } - html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link.is-active { - background-color: #dde4e6; - color: #282f2f; } - html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link::after { - border-color: #282f2f; } - html.theme--documenter-dark .navbar.is-light .navbar-burger { - color: #282f2f; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-light .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-light .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link { - color: #282f2f; } - html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link.is-active { - background-color: #dde4e6; - color: #282f2f; } - html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link::after { - border-color: #282f2f; } - html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #dde4e6; - color: #282f2f; } - html.theme--documenter-dark .navbar.is-light .navbar-dropdown a.navbar-item.is-active { - background-color: #ecf0f1; - color: #282f2f; } } - html.theme--documenter-dark .navbar.is-dark, html.theme--documenter-dark .content kbd.navbar { - background-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .navbar.is-dark .navbar-brand > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link, - html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link { - color: #ecf0f1; } - html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link.is-active, - html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link.is-active { - background-color: #1d2122; - color: #ecf0f1; } - html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link::after { - border-color: #ecf0f1; } - html.theme--documenter-dark .navbar.is-dark .navbar-burger, html.theme--documenter-dark .content kbd.navbar .navbar-burger { - color: #ecf0f1; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-dark .navbar-start > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link, - html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-dark .navbar-end > .navbar-item, - html.theme--documenter-dark .content kbd.navbar .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link, - html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link { - color: #ecf0f1; } - html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:focus, - html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:hover, - html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:focus, - html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:hover, - html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link.is-active, - html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link.is-active { - background-color: #1d2122; - color: #ecf0f1; } - html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link::after, - html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link::after { - border-color: #ecf0f1; } - html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link, - html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #1d2122; - color: #ecf0f1; } - html.theme--documenter-dark .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-dropdown a.navbar-item.is-active { - background-color: #282f2f; - color: #ecf0f1; } } - html.theme--documenter-dark .navbar.is-primary, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink { - background-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .navbar.is-primary .navbar-brand > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link.is-active, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active { - background-color: #2f4d6d; - color: #fff; } - html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-primary .navbar-burger, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-primary .navbar-start > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-primary .navbar-end > .navbar-item, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:focus, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:hover, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:focus, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:hover, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link.is-active, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active { - background-color: #2f4d6d; - color: #fff; } - html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link::after, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #2f4d6d; - color: #fff; } - html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active { - background-color: #375a7f; - color: #fff; } } - html.theme--documenter-dark .navbar.is-link { - background-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .navbar.is-link .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link.is-active { - background-color: #17a689; - color: #fff; } - html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-link .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-link .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-link .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link.is-active { - background-color: #17a689; - color: #fff; } - html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #17a689; - color: #fff; } - html.theme--documenter-dark .navbar.is-link .navbar-dropdown a.navbar-item.is-active { - background-color: #1abc9c; - color: #fff; } } - html.theme--documenter-dark .navbar.is-info { - background-color: #024c7d; - color: #fff; } - html.theme--documenter-dark .navbar.is-info .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link.is-active { - background-color: #023d64; - color: #fff; } - html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-info .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-info .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-info .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link.is-active { - background-color: #023d64; - color: #fff; } - html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #023d64; - color: #fff; } - html.theme--documenter-dark .navbar.is-info .navbar-dropdown a.navbar-item.is-active { - background-color: #024c7d; - color: #fff; } } - html.theme--documenter-dark .navbar.is-success { - background-color: #008438; - color: #fff; } - html.theme--documenter-dark .navbar.is-success .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link.is-active { - background-color: #006b2d; - color: #fff; } - html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-success .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-success .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-success .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link.is-active { - background-color: #006b2d; - color: #fff; } - html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #006b2d; - color: #fff; } - html.theme--documenter-dark .navbar.is-success .navbar-dropdown a.navbar-item.is-active { - background-color: #008438; - color: #fff; } } - html.theme--documenter-dark .navbar.is-warning { - background-color: #ad8100; - color: #fff; } - html.theme--documenter-dark .navbar.is-warning .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link.is-active { - background-color: #946e00; - color: #fff; } - html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-warning .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-warning .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-warning .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link.is-active { - background-color: #946e00; - color: #fff; } - html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #946e00; - color: #fff; } - html.theme--documenter-dark .navbar.is-warning .navbar-dropdown a.navbar-item.is-active { - background-color: #ad8100; - color: #fff; } } - html.theme--documenter-dark .navbar.is-danger { - background-color: #9e1b0d; - color: #fff; } - html.theme--documenter-dark .navbar.is-danger .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link.is-active { - background-color: #86170b; - color: #fff; } - html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-danger .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-danger .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-danger .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link.is-active { - background-color: #86170b; - color: #fff; } - html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #86170b; - color: #fff; } - html.theme--documenter-dark .navbar.is-danger .navbar-dropdown a.navbar-item.is-active { - background-color: #9e1b0d; - color: #fff; } } - html.theme--documenter-dark .navbar > .container { - align-items: stretch; - display: flex; - min-height: 4rem; - width: 100%; } - html.theme--documenter-dark .navbar.has-shadow { - box-shadow: 0 2px 0 0 #282f2f; } - html.theme--documenter-dark .navbar.is-fixed-bottom, html.theme--documenter-dark .navbar.is-fixed-top { - left: 0; - position: fixed; - right: 0; - z-index: 30; } - html.theme--documenter-dark .navbar.is-fixed-bottom { - bottom: 0; } - html.theme--documenter-dark .navbar.is-fixed-bottom.has-shadow { - box-shadow: 0 -2px 0 0 #282f2f; } - html.theme--documenter-dark .navbar.is-fixed-top { - top: 0; } - html.theme--documenter-dark html.has-navbar-fixed-top, - html.theme--documenter-dark body.has-navbar-fixed-top { - padding-top: 4rem; } - html.theme--documenter-dark html.has-navbar-fixed-bottom, - html.theme--documenter-dark body.has-navbar-fixed-bottom { - padding-bottom: 4rem; } - html.theme--documenter-dark .navbar-brand, - html.theme--documenter-dark .navbar-tabs { - align-items: stretch; - display: flex; - flex-shrink: 0; - min-height: 4rem; } - html.theme--documenter-dark .navbar-brand a.navbar-item:focus, html.theme--documenter-dark .navbar-brand a.navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .navbar-tabs { - -webkit-overflow-scrolling: touch; - max-width: 100vw; - overflow-x: auto; - overflow-y: hidden; } - html.theme--documenter-dark .navbar-burger { - color: #fff; - cursor: pointer; - display: block; - height: 4rem; - position: relative; - width: 4rem; - margin-left: auto; } - html.theme--documenter-dark .navbar-burger span { - background-color: currentColor; - display: block; - height: 1px; - left: calc(50% - 8px); - position: absolute; - transform-origin: center; - transition-duration: 86ms; - transition-property: background-color, opacity, transform; - transition-timing-function: ease-out; - width: 16px; } - html.theme--documenter-dark .navbar-burger span:nth-child(1) { - top: calc(50% - 6px); } - html.theme--documenter-dark .navbar-burger span:nth-child(2) { - top: calc(50% - 1px); } - html.theme--documenter-dark .navbar-burger span:nth-child(3) { - top: calc(50% + 4px); } - html.theme--documenter-dark .navbar-burger:hover { - background-color: rgba(0, 0, 0, 0.05); } - html.theme--documenter-dark .navbar-burger.is-active span:nth-child(1) { - transform: translateY(5px) rotate(45deg); } - html.theme--documenter-dark .navbar-burger.is-active span:nth-child(2) { - opacity: 0; } - html.theme--documenter-dark .navbar-burger.is-active span:nth-child(3) { - transform: translateY(-5px) rotate(-45deg); } - html.theme--documenter-dark .navbar-menu { - display: none; } - html.theme--documenter-dark .navbar-item, - html.theme--documenter-dark .navbar-link { - color: #fff; - display: block; - line-height: 1.5; - padding: 0.5rem 0.75rem; - position: relative; } - html.theme--documenter-dark .navbar-item .icon:only-child, - html.theme--documenter-dark .navbar-link .icon:only-child { - margin-left: -0.25rem; - margin-right: -0.25rem; } - html.theme--documenter-dark a.navbar-item, - html.theme--documenter-dark .navbar-link { - cursor: pointer; } - html.theme--documenter-dark a.navbar-item:focus, html.theme--documenter-dark a.navbar-item:focus-within, html.theme--documenter-dark a.navbar-item:hover, html.theme--documenter-dark a.navbar-item.is-active, - html.theme--documenter-dark .navbar-link:focus, - html.theme--documenter-dark .navbar-link:focus-within, - html.theme--documenter-dark .navbar-link:hover, - html.theme--documenter-dark .navbar-link.is-active { - background-color: transparent; - color: #1abc9c; } - html.theme--documenter-dark .navbar-item { - display: block; - flex-grow: 0; - flex-shrink: 0; } - html.theme--documenter-dark .navbar-item img { - max-height: 1.75rem; } - html.theme--documenter-dark .navbar-item.has-dropdown { - padding: 0; } - html.theme--documenter-dark .navbar-item.is-expanded { - flex-grow: 1; - flex-shrink: 1; } - html.theme--documenter-dark .navbar-item.is-tab { - border-bottom: 1px solid transparent; - min-height: 4rem; - padding-bottom: calc(0.5rem - 1px); } - html.theme--documenter-dark .navbar-item.is-tab:focus, html.theme--documenter-dark .navbar-item.is-tab:hover { - background-color: transparent; - border-bottom-color: #1abc9c; } - html.theme--documenter-dark .navbar-item.is-tab.is-active { - background-color: transparent; - border-bottom-color: #1abc9c; - border-bottom-style: solid; - border-bottom-width: 3px; - color: #1abc9c; - padding-bottom: calc(0.5rem - 3px); } - html.theme--documenter-dark .navbar-content { - flex-grow: 1; - flex-shrink: 1; } - html.theme--documenter-dark .navbar-link:not(.is-arrowless) { - padding-right: 2.5em; } - html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after { - border-color: #fff; - margin-top: -0.375em; - right: 1.125em; } - html.theme--documenter-dark .navbar-dropdown { - font-size: 0.875rem; - padding-bottom: 0.5rem; - padding-top: 0.5rem; } - html.theme--documenter-dark .navbar-dropdown .navbar-item { - padding-left: 1.5rem; - padding-right: 1.5rem; } - html.theme--documenter-dark .navbar-divider { - background-color: rgba(0, 0, 0, 0.2); - border: none; - display: none; - height: 2px; - margin: 0.5rem 0; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .navbar > .container { - display: block; } - html.theme--documenter-dark .navbar-brand .navbar-item, - html.theme--documenter-dark .navbar-tabs .navbar-item { - align-items: center; - display: flex; } - html.theme--documenter-dark .navbar-link::after { - display: none; } - html.theme--documenter-dark .navbar-menu { - background-color: #375a7f; - box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1); - padding: 0.5rem 0; } - html.theme--documenter-dark .navbar-menu.is-active { - display: block; } - html.theme--documenter-dark .navbar.is-fixed-bottom-touch, html.theme--documenter-dark .navbar.is-fixed-top-touch { - left: 0; - position: fixed; - right: 0; - z-index: 30; } - html.theme--documenter-dark .navbar.is-fixed-bottom-touch { - bottom: 0; } - html.theme--documenter-dark .navbar.is-fixed-bottom-touch.has-shadow { - box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .navbar.is-fixed-top-touch { - top: 0; } - html.theme--documenter-dark .navbar.is-fixed-top .navbar-menu, html.theme--documenter-dark .navbar.is-fixed-top-touch .navbar-menu { - -webkit-overflow-scrolling: touch; - max-height: calc(100vh - 4rem); - overflow: auto; } - html.theme--documenter-dark html.has-navbar-fixed-top-touch, - html.theme--documenter-dark body.has-navbar-fixed-top-touch { - padding-top: 4rem; } - html.theme--documenter-dark html.has-navbar-fixed-bottom-touch, - html.theme--documenter-dark body.has-navbar-fixed-bottom-touch { - padding-bottom: 4rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar, - html.theme--documenter-dark .navbar-menu, - html.theme--documenter-dark .navbar-start, - html.theme--documenter-dark .navbar-end { - align-items: stretch; - display: flex; } - html.theme--documenter-dark .navbar { - min-height: 4rem; } - html.theme--documenter-dark .navbar.is-spaced { - padding: 1rem 2rem; } - html.theme--documenter-dark .navbar.is-spaced .navbar-start, - html.theme--documenter-dark .navbar.is-spaced .navbar-end { - align-items: center; } - html.theme--documenter-dark .navbar.is-spaced a.navbar-item, - html.theme--documenter-dark .navbar.is-spaced .navbar-link { - border-radius: 0.4em; } - html.theme--documenter-dark .navbar.is-transparent a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent a.navbar-item:hover, html.theme--documenter-dark .navbar.is-transparent a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-transparent .navbar-link:focus, - html.theme--documenter-dark .navbar.is-transparent .navbar-link:hover, - html.theme--documenter-dark .navbar.is-transparent .navbar-link.is-active { - background-color: transparent !important; } - html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link { - background-color: transparent !important; } - html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:hover { - background-color: transparent; - color: #dbdee0; } - html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active { - background-color: transparent; - color: #1abc9c; } - html.theme--documenter-dark .navbar-burger { - display: none; } - html.theme--documenter-dark .navbar-item, - html.theme--documenter-dark .navbar-link { - align-items: center; - display: flex; } - html.theme--documenter-dark .navbar-item { - display: flex; } - html.theme--documenter-dark .navbar-item.has-dropdown { - align-items: stretch; } - html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-link::after { - transform: rotate(135deg) translate(0.25em, -0.25em); } - html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-dropdown { - border-bottom: 1px solid rgba(0, 0, 0, 0.2); - border-radius: 8px 8px 0 0; - border-top: none; - bottom: 100%; - box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1); - top: auto; } - html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown { - display: block; } - .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed { - opacity: 1; - pointer-events: auto; - transform: translateY(0); } - html.theme--documenter-dark .navbar-menu { - flex-grow: 1; - flex-shrink: 0; } - html.theme--documenter-dark .navbar-start { - justify-content: flex-start; - margin-right: auto; } - html.theme--documenter-dark .navbar-end { - justify-content: flex-end; - margin-left: auto; } - html.theme--documenter-dark .navbar-dropdown { - background-color: #375a7f; - border-bottom-left-radius: 8px; - border-bottom-right-radius: 8px; - border-top: 1px solid rgba(0, 0, 0, 0.2); - box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1); - display: none; - font-size: 0.875rem; - left: 0; - min-width: 100%; - position: absolute; - top: 100%; - z-index: 20; } - html.theme--documenter-dark .navbar-dropdown .navbar-item { - padding: 0.375rem 1rem; - white-space: nowrap; } - html.theme--documenter-dark .navbar-dropdown a.navbar-item { - padding-right: 3rem; } - html.theme--documenter-dark .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar-dropdown a.navbar-item:hover { - background-color: transparent; - color: #dbdee0; } - html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active { - background-color: transparent; - color: #1abc9c; } - .navbar.is-spaced html.theme--documenter-dark .navbar-dropdown, html.theme--documenter-dark .navbar-dropdown.is-boxed { - border-radius: 8px; - border-top: none; - box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); - display: block; - opacity: 0; - pointer-events: none; - top: calc(100% + (-4px)); - transform: translateY(-5px); - transition-duration: 86ms; - transition-property: opacity, transform; } - html.theme--documenter-dark .navbar-dropdown.is-right { - left: auto; - right: 0; } - html.theme--documenter-dark .navbar-divider { - display: block; } - html.theme--documenter-dark .navbar > .container .navbar-brand, - html.theme--documenter-dark .container > .navbar .navbar-brand { - margin-left: -.75rem; } - html.theme--documenter-dark .navbar > .container .navbar-menu, - html.theme--documenter-dark .container > .navbar .navbar-menu { - margin-right: -.75rem; } - html.theme--documenter-dark .navbar.is-fixed-bottom-desktop, html.theme--documenter-dark .navbar.is-fixed-top-desktop { - left: 0; - position: fixed; - right: 0; - z-index: 30; } - html.theme--documenter-dark .navbar.is-fixed-bottom-desktop { - bottom: 0; } - html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow { - box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .navbar.is-fixed-top-desktop { - top: 0; } - html.theme--documenter-dark html.has-navbar-fixed-top-desktop, - html.theme--documenter-dark body.has-navbar-fixed-top-desktop { - padding-top: 4rem; } - html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop, - html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop { - padding-bottom: 4rem; } - html.theme--documenter-dark html.has-spaced-navbar-fixed-top, - html.theme--documenter-dark body.has-spaced-navbar-fixed-top { - padding-top: 6rem; } - html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom, - html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom { - padding-bottom: 6rem; } - html.theme--documenter-dark a.navbar-item.is-active, - html.theme--documenter-dark .navbar-link.is-active { - color: #1abc9c; } - html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover), - html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover) { - background-color: transparent; } - html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link { - background-color: transparent; } } - html.theme--documenter-dark .hero.is-fullheight-with-navbar { - min-height: calc(100vh - 4rem); } - html.theme--documenter-dark .pagination { - font-size: 15px; - margin: -0.25rem; } - html.theme--documenter-dark .pagination.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination { - font-size: 0.85em; } - html.theme--documenter-dark .pagination.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .pagination.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .pagination.is-rounded .pagination-previous, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous, - html.theme--documenter-dark .pagination.is-rounded .pagination-next, - html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next { - padding-left: 1em; - padding-right: 1em; - border-radius: 290486px; } - html.theme--documenter-dark .pagination.is-rounded .pagination-link, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link { - border-radius: 290486px; } - html.theme--documenter-dark .pagination, - html.theme--documenter-dark .pagination-list { - align-items: center; - display: flex; - justify-content: center; - text-align: center; } - html.theme--documenter-dark .pagination-previous, - html.theme--documenter-dark .pagination-next, - html.theme--documenter-dark .pagination-link, - html.theme--documenter-dark .pagination-ellipsis { - font-size: 1em; - justify-content: center; - margin: 0.25rem; - padding-left: 0.5em; - padding-right: 0.5em; - text-align: center; } - html.theme--documenter-dark .pagination-previous, - html.theme--documenter-dark .pagination-next, - html.theme--documenter-dark .pagination-link { - border-color: #5e6d6f; - color: #1abc9c; - min-width: 2.25em; } - html.theme--documenter-dark .pagination-previous:hover, - html.theme--documenter-dark .pagination-next:hover, - html.theme--documenter-dark .pagination-link:hover { - border-color: #8c9b9d; - color: #1dd2af; } - html.theme--documenter-dark .pagination-previous:focus, - html.theme--documenter-dark .pagination-next:focus, - html.theme--documenter-dark .pagination-link:focus { - border-color: #8c9b9d; } - html.theme--documenter-dark .pagination-previous:active, - html.theme--documenter-dark .pagination-next:active, - html.theme--documenter-dark .pagination-link:active { - box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); } - html.theme--documenter-dark .pagination-previous[disabled], - html.theme--documenter-dark .pagination-next[disabled], - html.theme--documenter-dark .pagination-link[disabled] { - background-color: #dbdee0; - border-color: #dbdee0; - box-shadow: none; - color: #5e6d6f; - opacity: 0.5; } - html.theme--documenter-dark .pagination-previous, - html.theme--documenter-dark .pagination-next { - padding-left: 0.75em; - padding-right: 0.75em; - white-space: nowrap; } - html.theme--documenter-dark .pagination-link.is-current { - background-color: #1abc9c; - border-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .pagination-ellipsis { - color: #8c9b9d; - pointer-events: none; } - html.theme--documenter-dark .pagination-list { - flex-wrap: wrap; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .pagination { - flex-wrap: wrap; } - html.theme--documenter-dark .pagination-previous, - html.theme--documenter-dark .pagination-next { - flex-grow: 1; - flex-shrink: 1; } - html.theme--documenter-dark .pagination-list li { - flex-grow: 1; - flex-shrink: 1; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .pagination-list { - flex-grow: 1; - flex-shrink: 1; - justify-content: flex-start; - order: 1; } - html.theme--documenter-dark .pagination-previous { - order: 2; } - html.theme--documenter-dark .pagination-next { - order: 3; } - html.theme--documenter-dark .pagination { - justify-content: space-between; } - html.theme--documenter-dark .pagination.is-centered .pagination-previous { - order: 1; } - html.theme--documenter-dark .pagination.is-centered .pagination-list { - justify-content: center; - order: 2; } - html.theme--documenter-dark .pagination.is-centered .pagination-next { - order: 3; } - html.theme--documenter-dark .pagination.is-right .pagination-previous { - order: 1; } - html.theme--documenter-dark .pagination.is-right .pagination-next { - order: 2; } - html.theme--documenter-dark .pagination.is-right .pagination-list { - justify-content: flex-end; - order: 3; } } - html.theme--documenter-dark .panel { - font-size: 15px; } - html.theme--documenter-dark .panel:not(:last-child) { - margin-bottom: 1.5rem; } - html.theme--documenter-dark .panel-heading, - html.theme--documenter-dark .panel-tabs, - html.theme--documenter-dark .panel-block { - border-bottom: 1px solid #5e6d6f; - border-left: 1px solid #5e6d6f; - border-right: 1px solid #5e6d6f; } - html.theme--documenter-dark .panel-heading:first-child, - html.theme--documenter-dark .panel-tabs:first-child, - html.theme--documenter-dark .panel-block:first-child { - border-top: 1px solid #5e6d6f; } - html.theme--documenter-dark .panel-heading { - background-color: #282f2f; - border-radius: 0.4em 0.4em 0 0; - color: #f2f2f2; - font-size: 1.25em; - font-weight: 300; - line-height: 1.25; - padding: 0.5em 0.75em; } - html.theme--documenter-dark .panel-tabs { - align-items: flex-end; - display: flex; - font-size: 0.875em; - justify-content: center; } - html.theme--documenter-dark .panel-tabs a { - border-bottom: 1px solid #5e6d6f; - margin-bottom: -1px; - padding: 0.5em; } - html.theme--documenter-dark .panel-tabs a.is-active { - border-bottom-color: #343c3d; - color: #17a689; } - html.theme--documenter-dark .panel-list a { - color: #fff; } - html.theme--documenter-dark .panel-list a:hover { - color: #1abc9c; } - html.theme--documenter-dark .panel-block { - align-items: center; - color: #f2f2f2; - display: flex; - justify-content: flex-start; - padding: 0.5em 0.75em; } - html.theme--documenter-dark .panel-block input[type="checkbox"] { - margin-right: 0.75em; } - html.theme--documenter-dark .panel-block > .control { - flex-grow: 1; - flex-shrink: 1; - width: 100%; } - html.theme--documenter-dark .panel-block.is-wrapped { - flex-wrap: wrap; } - html.theme--documenter-dark .panel-block.is-active { - border-left-color: #1abc9c; - color: #17a689; } - html.theme--documenter-dark .panel-block.is-active .panel-icon { - color: #1abc9c; } - html.theme--documenter-dark a.panel-block, - html.theme--documenter-dark label.panel-block { - cursor: pointer; } - html.theme--documenter-dark a.panel-block:hover, - html.theme--documenter-dark label.panel-block:hover { - background-color: #282f2f; } - html.theme--documenter-dark .panel-icon { - display: inline-block; - font-size: 14px; - height: 1em; - line-height: 1em; - text-align: center; - vertical-align: top; - width: 1em; - color: white; - margin-right: 0.75em; } - html.theme--documenter-dark .panel-icon .fa { - font-size: inherit; - line-height: inherit; } - html.theme--documenter-dark .tabs { - -webkit-overflow-scrolling: touch; - align-items: stretch; - display: flex; - font-size: 15px; - justify-content: space-between; - overflow: hidden; - overflow-x: auto; - white-space: nowrap; } - html.theme--documenter-dark .tabs a { - align-items: center; - border-bottom-color: #5e6d6f; - border-bottom-style: solid; - border-bottom-width: 1px; - color: #fff; - display: flex; - justify-content: center; - margin-bottom: -1px; - padding: 0.5em 1em; - vertical-align: top; } - html.theme--documenter-dark .tabs a:hover { - border-bottom-color: #f2f2f2; - color: #f2f2f2; } - html.theme--documenter-dark .tabs li { - display: block; } - html.theme--documenter-dark .tabs li.is-active a { - border-bottom-color: #1abc9c; - color: #1abc9c; } - html.theme--documenter-dark .tabs ul { - align-items: center; - border-bottom-color: #5e6d6f; - border-bottom-style: solid; - border-bottom-width: 1px; - display: flex; - flex-grow: 1; - flex-shrink: 0; - justify-content: flex-start; } - html.theme--documenter-dark .tabs ul.is-left { - padding-right: 0.75em; } - html.theme--documenter-dark .tabs ul.is-center { - flex: none; - justify-content: center; - padding-left: 0.75em; - padding-right: 0.75em; } - html.theme--documenter-dark .tabs ul.is-right { - justify-content: flex-end; - padding-left: 0.75em; } - html.theme--documenter-dark .tabs .icon:first-child { - margin-right: 0.5em; } - html.theme--documenter-dark .tabs .icon:last-child { - margin-left: 0.5em; } - html.theme--documenter-dark .tabs.is-centered ul { - justify-content: center; } - html.theme--documenter-dark .tabs.is-right ul { - justify-content: flex-end; } - html.theme--documenter-dark .tabs.is-boxed a { - border: 1px solid transparent; - border-radius: 0.4em 0.4em 0 0; } - html.theme--documenter-dark .tabs.is-boxed a:hover { - background-color: #282f2f; - border-bottom-color: #5e6d6f; } - html.theme--documenter-dark .tabs.is-boxed li.is-active a { - background-color: white; - border-color: #5e6d6f; - border-bottom-color: transparent !important; } - html.theme--documenter-dark .tabs.is-fullwidth li { - flex-grow: 1; - flex-shrink: 0; } - html.theme--documenter-dark .tabs.is-toggle a { - border-color: #5e6d6f; - border-style: solid; - border-width: 1px; - margin-bottom: 0; - position: relative; } - html.theme--documenter-dark .tabs.is-toggle a:hover { - background-color: #282f2f; - border-color: #8c9b9d; - z-index: 2; } - html.theme--documenter-dark .tabs.is-toggle li + li { - margin-left: -1px; } - html.theme--documenter-dark .tabs.is-toggle li:first-child a { - border-radius: 0.4em 0 0 0.4em; } - html.theme--documenter-dark .tabs.is-toggle li:last-child a { - border-radius: 0 0.4em 0.4em 0; } - html.theme--documenter-dark .tabs.is-toggle li.is-active a { - background-color: #1abc9c; - border-color: #1abc9c; - color: #fff; - z-index: 1; } - html.theme--documenter-dark .tabs.is-toggle ul { - border-bottom: none; } - html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:first-child a { - border-bottom-left-radius: 290486px; - border-top-left-radius: 290486px; - padding-left: 1.25em; } - html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:last-child a { - border-bottom-right-radius: 290486px; - border-top-right-radius: 290486px; - padding-right: 1.25em; } - html.theme--documenter-dark .tabs.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.tabs { - font-size: 0.85em; } - html.theme--documenter-dark .tabs.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .tabs.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .column { - display: block; - flex-basis: 0; - flex-grow: 1; - flex-shrink: 1; - padding: 0.75rem; } - .columns.is-mobile > html.theme--documenter-dark .column.is-narrow { - flex: none; } - .columns.is-mobile > html.theme--documenter-dark .column.is-full { - flex: none; - width: 100%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-three-quarters { - flex: none; - width: 75%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-two-thirds { - flex: none; - width: 66.6666%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-half { - flex: none; - width: 50%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-one-third { - flex: none; - width: 33.3333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-one-quarter { - flex: none; - width: 25%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-one-fifth { - flex: none; - width: 20%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-two-fifths { - flex: none; - width: 40%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-three-fifths { - flex: none; - width: 60%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-four-fifths { - flex: none; - width: 80%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-quarters { - margin-left: 75%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-thirds { - margin-left: 66.6666%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-half { - margin-left: 50%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-third { - margin-left: 33.3333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-quarter { - margin-left: 25%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-fifth { - margin-left: 20%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-fifths { - margin-left: 40%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-fifths { - margin-left: 60%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-four-fifths { - margin-left: 80%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-0 { - flex: none; - width: 0%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-0 { - margin-left: 0%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-1 { - flex: none; - width: 8.3333333333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-1 { - margin-left: 8.3333333333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-2 { - flex: none; - width: 16.6666666667%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-2 { - margin-left: 16.6666666667%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-3 { - flex: none; - width: 25%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-3 { - margin-left: 25%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-4 { - flex: none; - width: 33.3333333333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-4 { - margin-left: 33.3333333333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-5 { - flex: none; - width: 41.6666666667%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-5 { - margin-left: 41.6666666667%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-6 { - flex: none; - width: 50%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-6 { - margin-left: 50%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-7 { - flex: none; - width: 58.3333333333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-7 { - margin-left: 58.3333333333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-8 { - flex: none; - width: 66.6666666667%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-8 { - margin-left: 66.6666666667%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-9 { - flex: none; - width: 75%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-9 { - margin-left: 75%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-10 { - flex: none; - width: 83.3333333333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-10 { - margin-left: 83.3333333333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-11 { - flex: none; - width: 91.6666666667%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-11 { - margin-left: 91.6666666667%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-12 { - flex: none; - width: 100%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-12 { - margin-left: 100%; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .column.is-narrow-mobile { - flex: none; } - html.theme--documenter-dark .column.is-full-mobile { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-three-quarters-mobile { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-two-thirds-mobile { - flex: none; - width: 66.6666%; } - html.theme--documenter-dark .column.is-half-mobile { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-one-third-mobile { - flex: none; - width: 33.3333%; } - html.theme--documenter-dark .column.is-one-quarter-mobile { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-one-fifth-mobile { - flex: none; - width: 20%; } - html.theme--documenter-dark .column.is-two-fifths-mobile { - flex: none; - width: 40%; } - html.theme--documenter-dark .column.is-three-fifths-mobile { - flex: none; - width: 60%; } - html.theme--documenter-dark .column.is-four-fifths-mobile { - flex: none; - width: 80%; } - html.theme--documenter-dark .column.is-offset-three-quarters-mobile { - margin-left: 75%; } - html.theme--documenter-dark .column.is-offset-two-thirds-mobile { - margin-left: 66.6666%; } - html.theme--documenter-dark .column.is-offset-half-mobile { - margin-left: 50%; } - html.theme--documenter-dark .column.is-offset-one-third-mobile { - margin-left: 33.3333%; } - html.theme--documenter-dark .column.is-offset-one-quarter-mobile { - margin-left: 25%; } - html.theme--documenter-dark .column.is-offset-one-fifth-mobile { - margin-left: 20%; } - html.theme--documenter-dark .column.is-offset-two-fifths-mobile { - margin-left: 40%; } - html.theme--documenter-dark .column.is-offset-three-fifths-mobile { - margin-left: 60%; } - html.theme--documenter-dark .column.is-offset-four-fifths-mobile { - margin-left: 80%; } - html.theme--documenter-dark .column.is-0-mobile { - flex: none; - width: 0%; } - html.theme--documenter-dark .column.is-offset-0-mobile { - margin-left: 0%; } - html.theme--documenter-dark .column.is-1-mobile { - flex: none; - width: 8.3333333333%; } - html.theme--documenter-dark .column.is-offset-1-mobile { - margin-left: 8.3333333333%; } - html.theme--documenter-dark .column.is-2-mobile { - flex: none; - width: 16.6666666667%; } - html.theme--documenter-dark .column.is-offset-2-mobile { - margin-left: 16.6666666667%; } - html.theme--documenter-dark .column.is-3-mobile { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-offset-3-mobile { - margin-left: 25%; } - html.theme--documenter-dark .column.is-4-mobile { - flex: none; - width: 33.3333333333%; } - html.theme--documenter-dark .column.is-offset-4-mobile { - margin-left: 33.3333333333%; } - html.theme--documenter-dark .column.is-5-mobile { - flex: none; - width: 41.6666666667%; } - html.theme--documenter-dark .column.is-offset-5-mobile { - margin-left: 41.6666666667%; } - html.theme--documenter-dark .column.is-6-mobile { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-offset-6-mobile { - margin-left: 50%; } - html.theme--documenter-dark .column.is-7-mobile { - flex: none; - width: 58.3333333333%; } - html.theme--documenter-dark .column.is-offset-7-mobile { - margin-left: 58.3333333333%; } - html.theme--documenter-dark .column.is-8-mobile { - flex: none; - width: 66.6666666667%; } - html.theme--documenter-dark .column.is-offset-8-mobile { - margin-left: 66.6666666667%; } - html.theme--documenter-dark .column.is-9-mobile { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-offset-9-mobile { - margin-left: 75%; } - html.theme--documenter-dark .column.is-10-mobile { - flex: none; - width: 83.3333333333%; } - html.theme--documenter-dark .column.is-offset-10-mobile { - margin-left: 83.3333333333%; } - html.theme--documenter-dark .column.is-11-mobile { - flex: none; - width: 91.6666666667%; } - html.theme--documenter-dark .column.is-offset-11-mobile { - margin-left: 91.6666666667%; } - html.theme--documenter-dark .column.is-12-mobile { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-offset-12-mobile { - margin-left: 100%; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .column.is-narrow, html.theme--documenter-dark .column.is-narrow-tablet { - flex: none; } - html.theme--documenter-dark .column.is-full, html.theme--documenter-dark .column.is-full-tablet { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-three-quarters, html.theme--documenter-dark .column.is-three-quarters-tablet { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-two-thirds, html.theme--documenter-dark .column.is-two-thirds-tablet { - flex: none; - width: 66.6666%; } - html.theme--documenter-dark .column.is-half, html.theme--documenter-dark .column.is-half-tablet { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-one-third, html.theme--documenter-dark .column.is-one-third-tablet { - flex: none; - width: 33.3333%; } - html.theme--documenter-dark .column.is-one-quarter, html.theme--documenter-dark .column.is-one-quarter-tablet { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-one-fifth, html.theme--documenter-dark .column.is-one-fifth-tablet { - flex: none; - width: 20%; } - html.theme--documenter-dark .column.is-two-fifths, html.theme--documenter-dark .column.is-two-fifths-tablet { - flex: none; - width: 40%; } - html.theme--documenter-dark .column.is-three-fifths, html.theme--documenter-dark .column.is-three-fifths-tablet { - flex: none; - width: 60%; } - html.theme--documenter-dark .column.is-four-fifths, html.theme--documenter-dark .column.is-four-fifths-tablet { - flex: none; - width: 80%; } - html.theme--documenter-dark .column.is-offset-three-quarters, html.theme--documenter-dark .column.is-offset-three-quarters-tablet { - margin-left: 75%; } - html.theme--documenter-dark .column.is-offset-two-thirds, html.theme--documenter-dark .column.is-offset-two-thirds-tablet { - margin-left: 66.6666%; } - html.theme--documenter-dark .column.is-offset-half, html.theme--documenter-dark .column.is-offset-half-tablet { - margin-left: 50%; } - html.theme--documenter-dark .column.is-offset-one-third, html.theme--documenter-dark .column.is-offset-one-third-tablet { - margin-left: 33.3333%; } - html.theme--documenter-dark .column.is-offset-one-quarter, html.theme--documenter-dark .column.is-offset-one-quarter-tablet { - margin-left: 25%; } - html.theme--documenter-dark .column.is-offset-one-fifth, html.theme--documenter-dark .column.is-offset-one-fifth-tablet { - margin-left: 20%; } - html.theme--documenter-dark .column.is-offset-two-fifths, html.theme--documenter-dark .column.is-offset-two-fifths-tablet { - margin-left: 40%; } - html.theme--documenter-dark .column.is-offset-three-fifths, html.theme--documenter-dark .column.is-offset-three-fifths-tablet { - margin-left: 60%; } - html.theme--documenter-dark .column.is-offset-four-fifths, html.theme--documenter-dark .column.is-offset-four-fifths-tablet { - margin-left: 80%; } - html.theme--documenter-dark .column.is-0, html.theme--documenter-dark .column.is-0-tablet { - flex: none; - width: 0%; } - html.theme--documenter-dark .column.is-offset-0, html.theme--documenter-dark .column.is-offset-0-tablet { - margin-left: 0%; } - html.theme--documenter-dark .column.is-1, html.theme--documenter-dark .column.is-1-tablet { - flex: none; - width: 8.3333333333%; } - html.theme--documenter-dark .column.is-offset-1, html.theme--documenter-dark .column.is-offset-1-tablet { - margin-left: 8.3333333333%; } - html.theme--documenter-dark .column.is-2, html.theme--documenter-dark .column.is-2-tablet { - flex: none; - width: 16.6666666667%; } - html.theme--documenter-dark .column.is-offset-2, html.theme--documenter-dark .column.is-offset-2-tablet { - margin-left: 16.6666666667%; } - html.theme--documenter-dark .column.is-3, html.theme--documenter-dark .column.is-3-tablet { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-offset-3, html.theme--documenter-dark .column.is-offset-3-tablet { - margin-left: 25%; } - html.theme--documenter-dark .column.is-4, html.theme--documenter-dark .column.is-4-tablet { - flex: none; - width: 33.3333333333%; } - html.theme--documenter-dark .column.is-offset-4, html.theme--documenter-dark .column.is-offset-4-tablet { - margin-left: 33.3333333333%; } - html.theme--documenter-dark .column.is-5, html.theme--documenter-dark .column.is-5-tablet { - flex: none; - width: 41.6666666667%; } - html.theme--documenter-dark .column.is-offset-5, html.theme--documenter-dark .column.is-offset-5-tablet { - margin-left: 41.6666666667%; } - html.theme--documenter-dark .column.is-6, html.theme--documenter-dark .column.is-6-tablet { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-offset-6, html.theme--documenter-dark .column.is-offset-6-tablet { - margin-left: 50%; } - html.theme--documenter-dark .column.is-7, html.theme--documenter-dark .column.is-7-tablet { - flex: none; - width: 58.3333333333%; } - html.theme--documenter-dark .column.is-offset-7, html.theme--documenter-dark .column.is-offset-7-tablet { - margin-left: 58.3333333333%; } - html.theme--documenter-dark .column.is-8, html.theme--documenter-dark .column.is-8-tablet { - flex: none; - width: 66.6666666667%; } - html.theme--documenter-dark .column.is-offset-8, html.theme--documenter-dark .column.is-offset-8-tablet { - margin-left: 66.6666666667%; } - html.theme--documenter-dark .column.is-9, html.theme--documenter-dark .column.is-9-tablet { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-offset-9, html.theme--documenter-dark .column.is-offset-9-tablet { - margin-left: 75%; } - html.theme--documenter-dark .column.is-10, html.theme--documenter-dark .column.is-10-tablet { - flex: none; - width: 83.3333333333%; } - html.theme--documenter-dark .column.is-offset-10, html.theme--documenter-dark .column.is-offset-10-tablet { - margin-left: 83.3333333333%; } - html.theme--documenter-dark .column.is-11, html.theme--documenter-dark .column.is-11-tablet { - flex: none; - width: 91.6666666667%; } - html.theme--documenter-dark .column.is-offset-11, html.theme--documenter-dark .column.is-offset-11-tablet { - margin-left: 91.6666666667%; } - html.theme--documenter-dark .column.is-12, html.theme--documenter-dark .column.is-12-tablet { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-offset-12, html.theme--documenter-dark .column.is-offset-12-tablet { - margin-left: 100%; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .column.is-narrow-touch { - flex: none; } - html.theme--documenter-dark .column.is-full-touch { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-three-quarters-touch { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-two-thirds-touch { - flex: none; - width: 66.6666%; } - html.theme--documenter-dark .column.is-half-touch { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-one-third-touch { - flex: none; - width: 33.3333%; } - html.theme--documenter-dark .column.is-one-quarter-touch { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-one-fifth-touch { - flex: none; - width: 20%; } - html.theme--documenter-dark .column.is-two-fifths-touch { - flex: none; - width: 40%; } - html.theme--documenter-dark .column.is-three-fifths-touch { - flex: none; - width: 60%; } - html.theme--documenter-dark .column.is-four-fifths-touch { - flex: none; - width: 80%; } - html.theme--documenter-dark .column.is-offset-three-quarters-touch { - margin-left: 75%; } - html.theme--documenter-dark .column.is-offset-two-thirds-touch { - margin-left: 66.6666%; } - html.theme--documenter-dark .column.is-offset-half-touch { - margin-left: 50%; } - html.theme--documenter-dark .column.is-offset-one-third-touch { - margin-left: 33.3333%; } - html.theme--documenter-dark .column.is-offset-one-quarter-touch { - margin-left: 25%; } - html.theme--documenter-dark .column.is-offset-one-fifth-touch { - margin-left: 20%; } - html.theme--documenter-dark .column.is-offset-two-fifths-touch { - margin-left: 40%; } - html.theme--documenter-dark .column.is-offset-three-fifths-touch { - margin-left: 60%; } - html.theme--documenter-dark .column.is-offset-four-fifths-touch { - margin-left: 80%; } - html.theme--documenter-dark .column.is-0-touch { - flex: none; - width: 0%; } - html.theme--documenter-dark .column.is-offset-0-touch { - margin-left: 0%; } - html.theme--documenter-dark .column.is-1-touch { - flex: none; - width: 8.3333333333%; } - html.theme--documenter-dark .column.is-offset-1-touch { - margin-left: 8.3333333333%; } - html.theme--documenter-dark .column.is-2-touch { - flex: none; - width: 16.6666666667%; } - html.theme--documenter-dark .column.is-offset-2-touch { - margin-left: 16.6666666667%; } - html.theme--documenter-dark .column.is-3-touch { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-offset-3-touch { - margin-left: 25%; } - html.theme--documenter-dark .column.is-4-touch { - flex: none; - width: 33.3333333333%; } - html.theme--documenter-dark .column.is-offset-4-touch { - margin-left: 33.3333333333%; } - html.theme--documenter-dark .column.is-5-touch { - flex: none; - width: 41.6666666667%; } - html.theme--documenter-dark .column.is-offset-5-touch { - margin-left: 41.6666666667%; } - html.theme--documenter-dark .column.is-6-touch { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-offset-6-touch { - margin-left: 50%; } - html.theme--documenter-dark .column.is-7-touch { - flex: none; - width: 58.3333333333%; } - html.theme--documenter-dark .column.is-offset-7-touch { - margin-left: 58.3333333333%; } - html.theme--documenter-dark .column.is-8-touch { - flex: none; - width: 66.6666666667%; } - html.theme--documenter-dark .column.is-offset-8-touch { - margin-left: 66.6666666667%; } - html.theme--documenter-dark .column.is-9-touch { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-offset-9-touch { - margin-left: 75%; } - html.theme--documenter-dark .column.is-10-touch { - flex: none; - width: 83.3333333333%; } - html.theme--documenter-dark .column.is-offset-10-touch { - margin-left: 83.3333333333%; } - html.theme--documenter-dark .column.is-11-touch { - flex: none; - width: 91.6666666667%; } - html.theme--documenter-dark .column.is-offset-11-touch { - margin-left: 91.6666666667%; } - html.theme--documenter-dark .column.is-12-touch { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-offset-12-touch { - margin-left: 100%; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .column.is-narrow-desktop { - flex: none; } - html.theme--documenter-dark .column.is-full-desktop { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-three-quarters-desktop { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-two-thirds-desktop { - flex: none; - width: 66.6666%; } - html.theme--documenter-dark .column.is-half-desktop { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-one-third-desktop { - flex: none; - width: 33.3333%; } - html.theme--documenter-dark .column.is-one-quarter-desktop { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-one-fifth-desktop { - flex: none; - width: 20%; } - html.theme--documenter-dark .column.is-two-fifths-desktop { - flex: none; - width: 40%; } - html.theme--documenter-dark .column.is-three-fifths-desktop { - flex: none; - width: 60%; } - html.theme--documenter-dark .column.is-four-fifths-desktop { - flex: none; - width: 80%; } - html.theme--documenter-dark .column.is-offset-three-quarters-desktop { - margin-left: 75%; } - html.theme--documenter-dark .column.is-offset-two-thirds-desktop { - margin-left: 66.6666%; } - html.theme--documenter-dark .column.is-offset-half-desktop { - margin-left: 50%; } - html.theme--documenter-dark .column.is-offset-one-third-desktop { - margin-left: 33.3333%; } - html.theme--documenter-dark .column.is-offset-one-quarter-desktop { - margin-left: 25%; } - html.theme--documenter-dark .column.is-offset-one-fifth-desktop { - margin-left: 20%; } - html.theme--documenter-dark .column.is-offset-two-fifths-desktop { - margin-left: 40%; } - html.theme--documenter-dark .column.is-offset-three-fifths-desktop { - margin-left: 60%; } - html.theme--documenter-dark .column.is-offset-four-fifths-desktop { - margin-left: 80%; } - html.theme--documenter-dark .column.is-0-desktop { - flex: none; - width: 0%; } - html.theme--documenter-dark .column.is-offset-0-desktop { - margin-left: 0%; } - html.theme--documenter-dark .column.is-1-desktop { - flex: none; - width: 8.3333333333%; } - html.theme--documenter-dark .column.is-offset-1-desktop { - margin-left: 8.3333333333%; } - html.theme--documenter-dark .column.is-2-desktop { - flex: none; - width: 16.6666666667%; } - html.theme--documenter-dark .column.is-offset-2-desktop { - margin-left: 16.6666666667%; } - html.theme--documenter-dark .column.is-3-desktop { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-offset-3-desktop { - margin-left: 25%; } - html.theme--documenter-dark .column.is-4-desktop { - flex: none; - width: 33.3333333333%; } - html.theme--documenter-dark .column.is-offset-4-desktop { - margin-left: 33.3333333333%; } - html.theme--documenter-dark .column.is-5-desktop { - flex: none; - width: 41.6666666667%; } - html.theme--documenter-dark .column.is-offset-5-desktop { - margin-left: 41.6666666667%; } - html.theme--documenter-dark .column.is-6-desktop { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-offset-6-desktop { - margin-left: 50%; } - html.theme--documenter-dark .column.is-7-desktop { - flex: none; - width: 58.3333333333%; } - html.theme--documenter-dark .column.is-offset-7-desktop { - margin-left: 58.3333333333%; } - html.theme--documenter-dark .column.is-8-desktop { - flex: none; - width: 66.6666666667%; } - html.theme--documenter-dark .column.is-offset-8-desktop { - margin-left: 66.6666666667%; } - html.theme--documenter-dark .column.is-9-desktop { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-offset-9-desktop { - margin-left: 75%; } - html.theme--documenter-dark .column.is-10-desktop { - flex: none; - width: 83.3333333333%; } - html.theme--documenter-dark .column.is-offset-10-desktop { - margin-left: 83.3333333333%; } - html.theme--documenter-dark .column.is-11-desktop { - flex: none; - width: 91.6666666667%; } - html.theme--documenter-dark .column.is-offset-11-desktop { - margin-left: 91.6666666667%; } - html.theme--documenter-dark .column.is-12-desktop { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-offset-12-desktop { - margin-left: 100%; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .column.is-narrow-widescreen { - flex: none; } - html.theme--documenter-dark .column.is-full-widescreen { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-three-quarters-widescreen { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-two-thirds-widescreen { - flex: none; - width: 66.6666%; } - html.theme--documenter-dark .column.is-half-widescreen { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-one-third-widescreen { - flex: none; - width: 33.3333%; } - html.theme--documenter-dark .column.is-one-quarter-widescreen { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-one-fifth-widescreen { - flex: none; - width: 20%; } - html.theme--documenter-dark .column.is-two-fifths-widescreen { - flex: none; - width: 40%; } - html.theme--documenter-dark .column.is-three-fifths-widescreen { - flex: none; - width: 60%; } - html.theme--documenter-dark .column.is-four-fifths-widescreen { - flex: none; - width: 80%; } - html.theme--documenter-dark .column.is-offset-three-quarters-widescreen { - margin-left: 75%; } - html.theme--documenter-dark .column.is-offset-two-thirds-widescreen { - margin-left: 66.6666%; } - html.theme--documenter-dark .column.is-offset-half-widescreen { - margin-left: 50%; } - html.theme--documenter-dark .column.is-offset-one-third-widescreen { - margin-left: 33.3333%; } - html.theme--documenter-dark .column.is-offset-one-quarter-widescreen { - margin-left: 25%; } - html.theme--documenter-dark .column.is-offset-one-fifth-widescreen { - margin-left: 20%; } - html.theme--documenter-dark .column.is-offset-two-fifths-widescreen { - margin-left: 40%; } - html.theme--documenter-dark .column.is-offset-three-fifths-widescreen { - margin-left: 60%; } - html.theme--documenter-dark .column.is-offset-four-fifths-widescreen { - margin-left: 80%; } - html.theme--documenter-dark .column.is-0-widescreen { - flex: none; - width: 0%; } - html.theme--documenter-dark .column.is-offset-0-widescreen { - margin-left: 0%; } - html.theme--documenter-dark .column.is-1-widescreen { - flex: none; - width: 8.3333333333%; } - html.theme--documenter-dark .column.is-offset-1-widescreen { - margin-left: 8.3333333333%; } - html.theme--documenter-dark .column.is-2-widescreen { - flex: none; - width: 16.6666666667%; } - html.theme--documenter-dark .column.is-offset-2-widescreen { - margin-left: 16.6666666667%; } - html.theme--documenter-dark .column.is-3-widescreen { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-offset-3-widescreen { - margin-left: 25%; } - html.theme--documenter-dark .column.is-4-widescreen { - flex: none; - width: 33.3333333333%; } - html.theme--documenter-dark .column.is-offset-4-widescreen { - margin-left: 33.3333333333%; } - html.theme--documenter-dark .column.is-5-widescreen { - flex: none; - width: 41.6666666667%; } - html.theme--documenter-dark .column.is-offset-5-widescreen { - margin-left: 41.6666666667%; } - html.theme--documenter-dark .column.is-6-widescreen { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-offset-6-widescreen { - margin-left: 50%; } - html.theme--documenter-dark .column.is-7-widescreen { - flex: none; - width: 58.3333333333%; } - html.theme--documenter-dark .column.is-offset-7-widescreen { - margin-left: 58.3333333333%; } - html.theme--documenter-dark .column.is-8-widescreen { - flex: none; - width: 66.6666666667%; } - html.theme--documenter-dark .column.is-offset-8-widescreen { - margin-left: 66.6666666667%; } - html.theme--documenter-dark .column.is-9-widescreen { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-offset-9-widescreen { - margin-left: 75%; } - html.theme--documenter-dark .column.is-10-widescreen { - flex: none; - width: 83.3333333333%; } - html.theme--documenter-dark .column.is-offset-10-widescreen { - margin-left: 83.3333333333%; } - html.theme--documenter-dark .column.is-11-widescreen { - flex: none; - width: 91.6666666667%; } - html.theme--documenter-dark .column.is-offset-11-widescreen { - margin-left: 91.6666666667%; } - html.theme--documenter-dark .column.is-12-widescreen { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-offset-12-widescreen { - margin-left: 100%; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .column.is-narrow-fullhd { - flex: none; } - html.theme--documenter-dark .column.is-full-fullhd { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-three-quarters-fullhd { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-two-thirds-fullhd { - flex: none; - width: 66.6666%; } - html.theme--documenter-dark .column.is-half-fullhd { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-one-third-fullhd { - flex: none; - width: 33.3333%; } - html.theme--documenter-dark .column.is-one-quarter-fullhd { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-one-fifth-fullhd { - flex: none; - width: 20%; } - html.theme--documenter-dark .column.is-two-fifths-fullhd { - flex: none; - width: 40%; } - html.theme--documenter-dark .column.is-three-fifths-fullhd { - flex: none; - width: 60%; } - html.theme--documenter-dark .column.is-four-fifths-fullhd { - flex: none; - width: 80%; } - html.theme--documenter-dark .column.is-offset-three-quarters-fullhd { - margin-left: 75%; } - html.theme--documenter-dark .column.is-offset-two-thirds-fullhd { - margin-left: 66.6666%; } - html.theme--documenter-dark .column.is-offset-half-fullhd { - margin-left: 50%; } - html.theme--documenter-dark .column.is-offset-one-third-fullhd { - margin-left: 33.3333%; } - html.theme--documenter-dark .column.is-offset-one-quarter-fullhd { - margin-left: 25%; } - html.theme--documenter-dark .column.is-offset-one-fifth-fullhd { - margin-left: 20%; } - html.theme--documenter-dark .column.is-offset-two-fifths-fullhd { - margin-left: 40%; } - html.theme--documenter-dark .column.is-offset-three-fifths-fullhd { - margin-left: 60%; } - html.theme--documenter-dark .column.is-offset-four-fifths-fullhd { - margin-left: 80%; } - html.theme--documenter-dark .column.is-0-fullhd { - flex: none; - width: 0%; } - html.theme--documenter-dark .column.is-offset-0-fullhd { - margin-left: 0%; } - html.theme--documenter-dark .column.is-1-fullhd { - flex: none; - width: 8.3333333333%; } - html.theme--documenter-dark .column.is-offset-1-fullhd { - margin-left: 8.3333333333%; } - html.theme--documenter-dark .column.is-2-fullhd { - flex: none; - width: 16.6666666667%; } - html.theme--documenter-dark .column.is-offset-2-fullhd { - margin-left: 16.6666666667%; } - html.theme--documenter-dark .column.is-3-fullhd { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-offset-3-fullhd { - margin-left: 25%; } - html.theme--documenter-dark .column.is-4-fullhd { - flex: none; - width: 33.3333333333%; } - html.theme--documenter-dark .column.is-offset-4-fullhd { - margin-left: 33.3333333333%; } - html.theme--documenter-dark .column.is-5-fullhd { - flex: none; - width: 41.6666666667%; } - html.theme--documenter-dark .column.is-offset-5-fullhd { - margin-left: 41.6666666667%; } - html.theme--documenter-dark .column.is-6-fullhd { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-offset-6-fullhd { - margin-left: 50%; } - html.theme--documenter-dark .column.is-7-fullhd { - flex: none; - width: 58.3333333333%; } - html.theme--documenter-dark .column.is-offset-7-fullhd { - margin-left: 58.3333333333%; } - html.theme--documenter-dark .column.is-8-fullhd { - flex: none; - width: 66.6666666667%; } - html.theme--documenter-dark .column.is-offset-8-fullhd { - margin-left: 66.6666666667%; } - html.theme--documenter-dark .column.is-9-fullhd { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-offset-9-fullhd { - margin-left: 75%; } - html.theme--documenter-dark .column.is-10-fullhd { - flex: none; - width: 83.3333333333%; } - html.theme--documenter-dark .column.is-offset-10-fullhd { - margin-left: 83.3333333333%; } - html.theme--documenter-dark .column.is-11-fullhd { - flex: none; - width: 91.6666666667%; } - html.theme--documenter-dark .column.is-offset-11-fullhd { - margin-left: 91.6666666667%; } - html.theme--documenter-dark .column.is-12-fullhd { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-offset-12-fullhd { - margin-left: 100%; } } - html.theme--documenter-dark .columns { - margin-left: -0.75rem; - margin-right: -0.75rem; - margin-top: -0.75rem; } - html.theme--documenter-dark .columns:last-child { - margin-bottom: -0.75rem; } - html.theme--documenter-dark .columns:not(:last-child) { - margin-bottom: calc(1.5rem - 0.75rem); } - html.theme--documenter-dark .columns.is-centered { - justify-content: center; } - html.theme--documenter-dark .columns.is-gapless { - margin-left: 0; - margin-right: 0; - margin-top: 0; } - html.theme--documenter-dark .columns.is-gapless > .column { - margin: 0; - padding: 0 !important; } - html.theme--documenter-dark .columns.is-gapless:not(:last-child) { - margin-bottom: 1.5rem; } - html.theme--documenter-dark .columns.is-gapless:last-child { - margin-bottom: 0; } - html.theme--documenter-dark .columns.is-mobile { - display: flex; } - html.theme--documenter-dark .columns.is-multiline { - flex-wrap: wrap; } - html.theme--documenter-dark .columns.is-vcentered { - align-items: center; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns:not(.is-desktop) { - display: flex; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-desktop { - display: flex; } } - html.theme--documenter-dark .columns.is-variable { - --columnGap: 0.75rem; - margin-left: calc(-1 * var(--columnGap)); - margin-right: calc(-1 * var(--columnGap)); } - html.theme--documenter-dark .columns.is-variable .column { - padding-left: var(--columnGap); - padding-right: var(--columnGap); } - html.theme--documenter-dark .columns.is-variable.is-0 { - --columnGap: 0rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-0-mobile { - --columnGap: 0rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-0-tablet { - --columnGap: 0rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-0-tablet-only { - --columnGap: 0rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-0-touch { - --columnGap: 0rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-0-desktop { - --columnGap: 0rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-0-desktop-only { - --columnGap: 0rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-0-widescreen { - --columnGap: 0rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-0-widescreen-only { - --columnGap: 0rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-0-fullhd { - --columnGap: 0rem; } } - html.theme--documenter-dark .columns.is-variable.is-1 { - --columnGap: 0.25rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-1-mobile { - --columnGap: 0.25rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-1-tablet { - --columnGap: 0.25rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-1-tablet-only { - --columnGap: 0.25rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-1-touch { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-1-desktop { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-1-desktop-only { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-1-widescreen { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-1-widescreen-only { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-1-fullhd { - --columnGap: 0.25rem; } } - html.theme--documenter-dark .columns.is-variable.is-2 { - --columnGap: 0.5rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-2-mobile { - --columnGap: 0.5rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-2-tablet { - --columnGap: 0.5rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-2-tablet-only { - --columnGap: 0.5rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-2-touch { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-2-desktop { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-2-desktop-only { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-2-widescreen { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-2-widescreen-only { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-2-fullhd { - --columnGap: 0.5rem; } } - html.theme--documenter-dark .columns.is-variable.is-3 { - --columnGap: 0.75rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-3-mobile { - --columnGap: 0.75rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-3-tablet { - --columnGap: 0.75rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-3-tablet-only { - --columnGap: 0.75rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-3-touch { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-3-desktop { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-3-desktop-only { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-3-widescreen { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-3-widescreen-only { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-3-fullhd { - --columnGap: 0.75rem; } } - html.theme--documenter-dark .columns.is-variable.is-4 { - --columnGap: 1rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-4-mobile { - --columnGap: 1rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-4-tablet { - --columnGap: 1rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-4-tablet-only { - --columnGap: 1rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-4-touch { - --columnGap: 1rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-4-desktop { - --columnGap: 1rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-4-desktop-only { - --columnGap: 1rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-4-widescreen { - --columnGap: 1rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-4-widescreen-only { - --columnGap: 1rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-4-fullhd { - --columnGap: 1rem; } } - html.theme--documenter-dark .columns.is-variable.is-5 { - --columnGap: 1.25rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-5-mobile { - --columnGap: 1.25rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-5-tablet { - --columnGap: 1.25rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-5-tablet-only { - --columnGap: 1.25rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-5-touch { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-5-desktop { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-5-desktop-only { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-5-widescreen { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-5-widescreen-only { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-5-fullhd { - --columnGap: 1.25rem; } } - html.theme--documenter-dark .columns.is-variable.is-6 { - --columnGap: 1.5rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-6-mobile { - --columnGap: 1.5rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-6-tablet { - --columnGap: 1.5rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-6-tablet-only { - --columnGap: 1.5rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-6-touch { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-6-desktop { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-6-desktop-only { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-6-widescreen { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-6-widescreen-only { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-6-fullhd { - --columnGap: 1.5rem; } } - html.theme--documenter-dark .columns.is-variable.is-7 { - --columnGap: 1.75rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-7-mobile { - --columnGap: 1.75rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-7-tablet { - --columnGap: 1.75rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-7-tablet-only { - --columnGap: 1.75rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-7-touch { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-7-desktop { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-7-desktop-only { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-7-widescreen { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-7-widescreen-only { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-7-fullhd { - --columnGap: 1.75rem; } } - html.theme--documenter-dark .columns.is-variable.is-8 { - --columnGap: 2rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-8-mobile { - --columnGap: 2rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-8-tablet { - --columnGap: 2rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-8-tablet-only { - --columnGap: 2rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-8-touch { - --columnGap: 2rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-8-desktop { - --columnGap: 2rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-8-desktop-only { - --columnGap: 2rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-8-widescreen { - --columnGap: 2rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-8-widescreen-only { - --columnGap: 2rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-8-fullhd { - --columnGap: 2rem; } } - html.theme--documenter-dark .tile { - align-items: stretch; - display: block; - flex-basis: 0; - flex-grow: 1; - flex-shrink: 1; - min-height: min-content; } - html.theme--documenter-dark .tile.is-ancestor { - margin-left: -0.75rem; - margin-right: -0.75rem; - margin-top: -0.75rem; } - html.theme--documenter-dark .tile.is-ancestor:last-child { - margin-bottom: -0.75rem; } - html.theme--documenter-dark .tile.is-ancestor:not(:last-child) { - margin-bottom: 0.75rem; } - html.theme--documenter-dark .tile.is-child { - margin: 0 !important; } - html.theme--documenter-dark .tile.is-parent { - padding: 0.75rem; } - html.theme--documenter-dark .tile.is-vertical { - flex-direction: column; } - html.theme--documenter-dark .tile.is-vertical > .tile.is-child:not(:last-child) { - margin-bottom: 1.5rem !important; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .tile:not(.is-child) { - display: flex; } - html.theme--documenter-dark .tile.is-1 { - flex: none; - width: 8.3333333333%; } - html.theme--documenter-dark .tile.is-2 { - flex: none; - width: 16.6666666667%; } - html.theme--documenter-dark .tile.is-3 { - flex: none; - width: 25%; } - html.theme--documenter-dark .tile.is-4 { - flex: none; - width: 33.3333333333%; } - html.theme--documenter-dark .tile.is-5 { - flex: none; - width: 41.6666666667%; } - html.theme--documenter-dark .tile.is-6 { - flex: none; - width: 50%; } - html.theme--documenter-dark .tile.is-7 { - flex: none; - width: 58.3333333333%; } - html.theme--documenter-dark .tile.is-8 { - flex: none; - width: 66.6666666667%; } - html.theme--documenter-dark .tile.is-9 { - flex: none; - width: 75%; } - html.theme--documenter-dark .tile.is-10 { - flex: none; - width: 83.3333333333%; } - html.theme--documenter-dark .tile.is-11 { - flex: none; - width: 91.6666666667%; } - html.theme--documenter-dark .tile.is-12 { - flex: none; - width: 100%; } } - html.theme--documenter-dark .hero { - align-items: stretch; - display: flex; - flex-direction: column; - justify-content: space-between; } - html.theme--documenter-dark .hero .navbar { - background: none; } - html.theme--documenter-dark .hero .tabs ul { - border-bottom: none; } - html.theme--documenter-dark .hero.is-white { - background-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-white strong { - color: inherit; } - html.theme--documenter-dark .hero.is-white .title { - color: #0a0a0a; } - html.theme--documenter-dark .hero.is-white .subtitle { - color: rgba(10, 10, 10, 0.9); } - html.theme--documenter-dark .hero.is-white .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-white .subtitle strong { - color: #0a0a0a; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-white .navbar-menu { - background-color: white; } } - html.theme--documenter-dark .hero.is-white .navbar-item, - html.theme--documenter-dark .hero.is-white .navbar-link { - color: rgba(10, 10, 10, 0.7); } - html.theme--documenter-dark .hero.is-white a.navbar-item:hover, html.theme--documenter-dark .hero.is-white a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-white .navbar-link:hover, - html.theme--documenter-dark .hero.is-white .navbar-link.is-active { - background-color: #f2f2f2; - color: #0a0a0a; } - html.theme--documenter-dark .hero.is-white .tabs a { - color: #0a0a0a; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-white .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-white .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-white .tabs.is-boxed a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a { - color: #0a0a0a; } - html.theme--documenter-dark .hero.is-white .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a:hover { - background-color: #0a0a0a; - border-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .hero.is-white.is-bold { - background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-white.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } } - html.theme--documenter-dark .hero.is-black { - background-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-black strong { - color: inherit; } - html.theme--documenter-dark .hero.is-black .title { - color: white; } - html.theme--documenter-dark .hero.is-black .subtitle { - color: rgba(255, 255, 255, 0.9); } - html.theme--documenter-dark .hero.is-black .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-black .subtitle strong { - color: white; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-black .navbar-menu { - background-color: #0a0a0a; } } - html.theme--documenter-dark .hero.is-black .navbar-item, - html.theme--documenter-dark .hero.is-black .navbar-link { - color: rgba(255, 255, 255, 0.7); } - html.theme--documenter-dark .hero.is-black a.navbar-item:hover, html.theme--documenter-dark .hero.is-black a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-black .navbar-link:hover, - html.theme--documenter-dark .hero.is-black .navbar-link.is-active { - background-color: black; - color: white; } - html.theme--documenter-dark .hero.is-black .tabs a { - color: white; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-black .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-black .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-black .tabs.is-boxed a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a { - color: white; } - html.theme--documenter-dark .hero.is-black .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a:hover { - background-color: white; - border-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .hero.is-black.is-bold { - background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-black.is-bold .navbar-menu { - background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } } - html.theme--documenter-dark .hero.is-light { - background-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-light strong { - color: inherit; } - html.theme--documenter-dark .hero.is-light .title { - color: #282f2f; } - html.theme--documenter-dark .hero.is-light .subtitle { - color: rgba(40, 47, 47, 0.9); } - html.theme--documenter-dark .hero.is-light .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-light .subtitle strong { - color: #282f2f; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-light .navbar-menu { - background-color: #ecf0f1; } } - html.theme--documenter-dark .hero.is-light .navbar-item, - html.theme--documenter-dark .hero.is-light .navbar-link { - color: rgba(40, 47, 47, 0.7); } - html.theme--documenter-dark .hero.is-light a.navbar-item:hover, html.theme--documenter-dark .hero.is-light a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-light .navbar-link:hover, - html.theme--documenter-dark .hero.is-light .navbar-link.is-active { - background-color: #dde4e6; - color: #282f2f; } - html.theme--documenter-dark .hero.is-light .tabs a { - color: #282f2f; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-light .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-light .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-light .tabs.is-boxed a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a { - color: #282f2f; } - html.theme--documenter-dark .hero.is-light .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a:hover { - background-color: #282f2f; - border-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .hero.is-light.is-bold { - background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-light.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); } } - html.theme--documenter-dark .hero.is-dark, html.theme--documenter-dark .content kbd.hero { - background-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-dark strong, - html.theme--documenter-dark .content kbd.hero strong { - color: inherit; } - html.theme--documenter-dark .hero.is-dark .title, html.theme--documenter-dark .content kbd.hero .title { - color: #ecf0f1; } - html.theme--documenter-dark .hero.is-dark .subtitle, html.theme--documenter-dark .content kbd.hero .subtitle { - color: rgba(236, 240, 241, 0.9); } - html.theme--documenter-dark .hero.is-dark .subtitle a:not(.button), html.theme--documenter-dark .content kbd.hero .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-dark .subtitle strong, - html.theme--documenter-dark .content kbd.hero .subtitle strong { - color: #ecf0f1; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-dark .navbar-menu, html.theme--documenter-dark .content kbd.hero .navbar-menu { - background-color: #282f2f; } } - html.theme--documenter-dark .hero.is-dark .navbar-item, html.theme--documenter-dark .content kbd.hero .navbar-item, - html.theme--documenter-dark .hero.is-dark .navbar-link, - html.theme--documenter-dark .content kbd.hero .navbar-link { - color: rgba(236, 240, 241, 0.7); } - html.theme--documenter-dark .hero.is-dark a.navbar-item:hover, html.theme--documenter-dark .content kbd.hero a.navbar-item:hover, html.theme--documenter-dark .hero.is-dark a.navbar-item.is-active, html.theme--documenter-dark .content kbd.hero a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-dark .navbar-link:hover, - html.theme--documenter-dark .content kbd.hero .navbar-link:hover, - html.theme--documenter-dark .hero.is-dark .navbar-link.is-active, - html.theme--documenter-dark .content kbd.hero .navbar-link.is-active { - background-color: #1d2122; - color: #ecf0f1; } - html.theme--documenter-dark .hero.is-dark .tabs a, html.theme--documenter-dark .content kbd.hero .tabs a { - color: #ecf0f1; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-dark .tabs a:hover, html.theme--documenter-dark .content kbd.hero .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-dark .tabs li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a { - color: #ecf0f1; } - html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a:hover { - background-color: #ecf0f1; - border-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .hero.is-dark.is-bold, html.theme--documenter-dark .content kbd.hero.is-bold { - background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-dark.is-bold .navbar-menu, html.theme--documenter-dark .content kbd.hero.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); } } - html.theme--documenter-dark .hero.is-primary, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink { - background-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-primary strong, - html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink strong { - color: inherit; } - html.theme--documenter-dark .hero.is-primary .title, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .title { - color: #fff; } - html.theme--documenter-dark .hero.is-primary .subtitle, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle { - color: rgba(255, 255, 255, 0.9); } - html.theme--documenter-dark .hero.is-primary .subtitle a:not(.button), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-primary .subtitle strong, - html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-primary .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-menu { - background-color: #375a7f; } } - html.theme--documenter-dark .hero.is-primary .navbar-item, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-item, - html.theme--documenter-dark .hero.is-primary .navbar-link, - html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link { - color: rgba(255, 255, 255, 0.7); } - html.theme--documenter-dark .hero.is-primary a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, html.theme--documenter-dark .hero.is-primary a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-primary .navbar-link:hover, - html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link:hover, - html.theme--documenter-dark .hero.is-primary .navbar-link.is-active, - html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active { - background-color: #2f4d6d; - color: #fff; } - html.theme--documenter-dark .hero.is-primary .tabs a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a { - color: #fff; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-primary .tabs a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-primary .tabs li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a { - color: #fff; } - html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #375a7f; } - html.theme--documenter-dark .hero.is-primary.is-bold, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink { - background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-primary.is-bold .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu { - background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); } } - html.theme--documenter-dark .hero.is-link { - background-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-link strong { - color: inherit; } - html.theme--documenter-dark .hero.is-link .title { - color: #fff; } - html.theme--documenter-dark .hero.is-link .subtitle { - color: rgba(255, 255, 255, 0.9); } - html.theme--documenter-dark .hero.is-link .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-link .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-link .navbar-menu { - background-color: #1abc9c; } } - html.theme--documenter-dark .hero.is-link .navbar-item, - html.theme--documenter-dark .hero.is-link .navbar-link { - color: rgba(255, 255, 255, 0.7); } - html.theme--documenter-dark .hero.is-link a.navbar-item:hover, html.theme--documenter-dark .hero.is-link a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-link .navbar-link:hover, - html.theme--documenter-dark .hero.is-link .navbar-link.is-active { - background-color: #17a689; - color: #fff; } - html.theme--documenter-dark .hero.is-link .tabs a { - color: #fff; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-link .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-link .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-link .tabs.is-boxed a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a { - color: #fff; } - html.theme--documenter-dark .hero.is-link .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #1abc9c; } - html.theme--documenter-dark .hero.is-link.is-bold { - background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-link.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); } } - html.theme--documenter-dark .hero.is-info { - background-color: #024c7d; - color: #fff; } - html.theme--documenter-dark .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-info strong { - color: inherit; } - html.theme--documenter-dark .hero.is-info .title { - color: #fff; } - html.theme--documenter-dark .hero.is-info .subtitle { - color: rgba(255, 255, 255, 0.9); } - html.theme--documenter-dark .hero.is-info .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-info .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-info .navbar-menu { - background-color: #024c7d; } } - html.theme--documenter-dark .hero.is-info .navbar-item, - html.theme--documenter-dark .hero.is-info .navbar-link { - color: rgba(255, 255, 255, 0.7); } - html.theme--documenter-dark .hero.is-info a.navbar-item:hover, html.theme--documenter-dark .hero.is-info a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-info .navbar-link:hover, - html.theme--documenter-dark .hero.is-info .navbar-link.is-active { - background-color: #023d64; - color: #fff; } - html.theme--documenter-dark .hero.is-info .tabs a { - color: #fff; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-info .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-info .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-info .tabs.is-boxed a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a { - color: #fff; } - html.theme--documenter-dark .hero.is-info .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #024c7d; } - html.theme--documenter-dark .hero.is-info.is-bold { - background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-info.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); } } - html.theme--documenter-dark .hero.is-success { - background-color: #008438; - color: #fff; } - html.theme--documenter-dark .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-success strong { - color: inherit; } - html.theme--documenter-dark .hero.is-success .title { - color: #fff; } - html.theme--documenter-dark .hero.is-success .subtitle { - color: rgba(255, 255, 255, 0.9); } - html.theme--documenter-dark .hero.is-success .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-success .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-success .navbar-menu { - background-color: #008438; } } - html.theme--documenter-dark .hero.is-success .navbar-item, - html.theme--documenter-dark .hero.is-success .navbar-link { - color: rgba(255, 255, 255, 0.7); } - html.theme--documenter-dark .hero.is-success a.navbar-item:hover, html.theme--documenter-dark .hero.is-success a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-success .navbar-link:hover, - html.theme--documenter-dark .hero.is-success .navbar-link.is-active { - background-color: #006b2d; - color: #fff; } - html.theme--documenter-dark .hero.is-success .tabs a { - color: #fff; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-success .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-success .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-success .tabs.is-boxed a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a { - color: #fff; } - html.theme--documenter-dark .hero.is-success .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #008438; } - html.theme--documenter-dark .hero.is-success.is-bold { - background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-success.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); } } - html.theme--documenter-dark .hero.is-warning { - background-color: #ad8100; - color: #fff; } - html.theme--documenter-dark .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-warning strong { - color: inherit; } - html.theme--documenter-dark .hero.is-warning .title { - color: #fff; } - html.theme--documenter-dark .hero.is-warning .subtitle { - color: rgba(255, 255, 255, 0.9); } - html.theme--documenter-dark .hero.is-warning .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-warning .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-warning .navbar-menu { - background-color: #ad8100; } } - html.theme--documenter-dark .hero.is-warning .navbar-item, - html.theme--documenter-dark .hero.is-warning .navbar-link { - color: rgba(255, 255, 255, 0.7); } - html.theme--documenter-dark .hero.is-warning a.navbar-item:hover, html.theme--documenter-dark .hero.is-warning a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-warning .navbar-link:hover, - html.theme--documenter-dark .hero.is-warning .navbar-link.is-active { - background-color: #946e00; - color: #fff; } - html.theme--documenter-dark .hero.is-warning .tabs a { - color: #fff; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-warning .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-warning .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a { - color: #fff; } - html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #ad8100; } - html.theme--documenter-dark .hero.is-warning.is-bold { - background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-warning.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); } } - html.theme--documenter-dark .hero.is-danger { - background-color: #9e1b0d; - color: #fff; } - html.theme--documenter-dark .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-danger strong { - color: inherit; } - html.theme--documenter-dark .hero.is-danger .title { - color: #fff; } - html.theme--documenter-dark .hero.is-danger .subtitle { - color: rgba(255, 255, 255, 0.9); } - html.theme--documenter-dark .hero.is-danger .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-danger .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-danger .navbar-menu { - background-color: #9e1b0d; } } - html.theme--documenter-dark .hero.is-danger .navbar-item, - html.theme--documenter-dark .hero.is-danger .navbar-link { - color: rgba(255, 255, 255, 0.7); } - html.theme--documenter-dark .hero.is-danger a.navbar-item:hover, html.theme--documenter-dark .hero.is-danger a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-danger .navbar-link:hover, - html.theme--documenter-dark .hero.is-danger .navbar-link.is-active { - background-color: #86170b; - color: #fff; } - html.theme--documenter-dark .hero.is-danger .tabs a { - color: #fff; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-danger .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-danger .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a { - color: #fff; } - html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #9e1b0d; } - html.theme--documenter-dark .hero.is-danger.is-bold { - background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-danger.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); } } - html.theme--documenter-dark .hero.is-small .hero-body, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.hero .hero-body { - padding-bottom: 1.5rem; - padding-top: 1.5rem; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .hero.is-medium .hero-body { - padding-bottom: 9rem; - padding-top: 9rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .hero.is-large .hero-body { - padding-bottom: 18rem; - padding-top: 18rem; } } - html.theme--documenter-dark .hero.is-halfheight .hero-body, html.theme--documenter-dark .hero.is-fullheight .hero-body, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body { - align-items: center; - display: flex; } - html.theme--documenter-dark .hero.is-halfheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body > .container { - flex-grow: 1; - flex-shrink: 1; } - html.theme--documenter-dark .hero.is-halfheight { - min-height: 50vh; } - html.theme--documenter-dark .hero.is-fullheight { - min-height: 100vh; } - html.theme--documenter-dark .hero-video { - overflow: hidden; } - html.theme--documenter-dark .hero-video video { - left: 50%; - min-height: 100%; - min-width: 100%; - position: absolute; - top: 50%; - transform: translate3d(-50%, -50%, 0); } - html.theme--documenter-dark .hero-video.is-transparent { - opacity: 0.3; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero-video { - display: none; } } - html.theme--documenter-dark .hero-buttons { - margin-top: 1.5rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero-buttons .button { - display: flex; } - html.theme--documenter-dark .hero-buttons .button:not(:last-child) { - margin-bottom: 0.75rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .hero-buttons { - display: flex; - justify-content: center; } - html.theme--documenter-dark .hero-buttons .button:not(:last-child) { - margin-right: 1.5rem; } } - html.theme--documenter-dark .hero-head, - html.theme--documenter-dark .hero-foot { - flex-grow: 0; - flex-shrink: 0; } - html.theme--documenter-dark .hero-body { - flex-grow: 1; - flex-shrink: 0; - padding: 3rem 1.5rem; } - html.theme--documenter-dark .section { - padding: 3rem 1.5rem; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .section.is-medium { - padding: 9rem 1.5rem; } - html.theme--documenter-dark .section.is-large { - padding: 18rem 1.5rem; } } - html.theme--documenter-dark .footer { - background-color: #282f2f; - padding: 3rem 1.5rem 6rem; } - html.theme--documenter-dark hr { - height: 1px; } - html.theme--documenter-dark h6 { - text-transform: uppercase; - letter-spacing: 0.5px; } - html.theme--documenter-dark .hero { - background-color: #343c3d; } - html.theme--documenter-dark a { - transition: all 200ms ease; } - html.theme--documenter-dark .button { - transition: all 200ms ease; - border-width: 1px; - color: white; } - html.theme--documenter-dark .button.is-active, html.theme--documenter-dark .button.is-focused, html.theme--documenter-dark .button:active, html.theme--documenter-dark .button:focus { - box-shadow: 0 0 0 2px rgba(140, 155, 157, 0.5); } - html.theme--documenter-dark .button.is-white.is-hovered, html.theme--documenter-dark .button.is-white:hover { - background-color: white; } - html.theme--documenter-dark .button.is-white.is-active, html.theme--documenter-dark .button.is-white.is-focused, html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white:focus { - border-color: white; - box-shadow: 0 0 0 2px rgba(255, 255, 255, 0.5); } - html.theme--documenter-dark .button.is-black.is-hovered, html.theme--documenter-dark .button.is-black:hover { - background-color: #1d1d1d; } - html.theme--documenter-dark .button.is-black.is-active, html.theme--documenter-dark .button.is-black.is-focused, html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black:focus { - border-color: #0a0a0a; - box-shadow: 0 0 0 2px rgba(10, 10, 10, 0.5); } - html.theme--documenter-dark .button.is-light.is-hovered, html.theme--documenter-dark .button.is-light:hover { - background-color: white; } - html.theme--documenter-dark .button.is-light.is-active, html.theme--documenter-dark .button.is-light.is-focused, html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light:focus { - border-color: #ecf0f1; - box-shadow: 0 0 0 2px rgba(236, 240, 241, 0.5); } - html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered, html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover { - background-color: #3a4344; } - html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused, html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus { - border-color: #282f2f; - box-shadow: 0 0 0 2px rgba(40, 47, 47, 0.5); } - html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover { - background-color: #436d9a; } - html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink, html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus { - border-color: #375a7f; - box-shadow: 0 0 0 2px rgba(55, 90, 127, 0.5); } - html.theme--documenter-dark .button.is-link.is-hovered, html.theme--documenter-dark .button.is-link:hover { - background-color: #1fdeb8; } - html.theme--documenter-dark .button.is-link.is-active, html.theme--documenter-dark .button.is-link.is-focused, html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link:focus { - border-color: #1abc9c; - box-shadow: 0 0 0 2px rgba(26, 188, 156, 0.5); } - html.theme--documenter-dark .button.is-info.is-hovered, html.theme--documenter-dark .button.is-info:hover { - background-color: #0363a3; } - html.theme--documenter-dark .button.is-info.is-active, html.theme--documenter-dark .button.is-info.is-focused, html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info:focus { - border-color: #024c7d; - box-shadow: 0 0 0 2px rgba(2, 76, 125, 0.5); } - html.theme--documenter-dark .button.is-success.is-hovered, html.theme--documenter-dark .button.is-success:hover { - background-color: #00aa48; } - html.theme--documenter-dark .button.is-success.is-active, html.theme--documenter-dark .button.is-success.is-focused, html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success:focus { - border-color: #008438; - box-shadow: 0 0 0 2px rgba(0, 132, 56, 0.5); } - html.theme--documenter-dark .button.is-warning.is-hovered, html.theme--documenter-dark .button.is-warning:hover { - background-color: #d39e00; } - html.theme--documenter-dark .button.is-warning.is-active, html.theme--documenter-dark .button.is-warning.is-focused, html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning:focus { - border-color: #ad8100; - box-shadow: 0 0 0 2px rgba(173, 129, 0, 0.5); } - html.theme--documenter-dark .button.is-danger.is-hovered, html.theme--documenter-dark .button.is-danger:hover { - background-color: #c12110; } - html.theme--documenter-dark .button.is-danger.is-active, html.theme--documenter-dark .button.is-danger.is-focused, html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger:focus { - border-color: #9e1b0d; - box-shadow: 0 0 0 2px rgba(158, 27, 13, 0.5); } - html.theme--documenter-dark .label { - color: #dbdee0; } - html.theme--documenter-dark .button, - html.theme--documenter-dark .control.has-icons-left .icon, - html.theme--documenter-dark .control.has-icons-right .icon, - html.theme--documenter-dark .input, - html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, - html.theme--documenter-dark .pagination-ellipsis, - html.theme--documenter-dark .pagination-link, - html.theme--documenter-dark .pagination-next, - html.theme--documenter-dark .pagination-previous, - html.theme--documenter-dark .select, - html.theme--documenter-dark .select select, - html.theme--documenter-dark .textarea { - height: 2.5em; } - html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, - html.theme--documenter-dark .textarea { - transition: all 200ms ease; - box-shadow: none; - border-width: 1px; - padding-left: 1em; - padding-right: 1em; } - html.theme--documenter-dark .select:after, - html.theme--documenter-dark .select select { - border-width: 1px; } - html.theme--documenter-dark .control.has-addons .button, - html.theme--documenter-dark .control.has-addons .input, - html.theme--documenter-dark .control.has-addons #documenter .docs-sidebar form.docs-search > input, - html.theme--documenter-dark #documenter .docs-sidebar .control.has-addons form.docs-search > input, - html.theme--documenter-dark .control.has-addons .select { - margin-right: -1px; } - html.theme--documenter-dark .notification { - background-color: #343c3d; } - html.theme--documenter-dark .card { - box-shadow: none; - border: 1px solid #343c3d; - background-color: #282f2f; - border-radius: 0.4em; } - html.theme--documenter-dark .card .card-image img { - border-radius: 0.4em 0.4em 0 0; } - html.theme--documenter-dark .card .card-header { - box-shadow: none; - background-color: rgba(18, 18, 18, 0.2); - border-radius: 0.4em 0.4em 0 0; } - html.theme--documenter-dark .card .card-footer { - background-color: rgba(18, 18, 18, 0.2); } - html.theme--documenter-dark .card .card-footer, - html.theme--documenter-dark .card .card-footer-item { - border-width: 1px; - border-color: #343c3d; } - html.theme--documenter-dark .notification.is-white a:not(.button) { - color: #0a0a0a; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-black a:not(.button) { - color: white; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-light a:not(.button) { - color: #282f2f; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-dark a:not(.button), html.theme--documenter-dark .content kbd.notification a:not(.button) { - color: #ecf0f1; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-primary a:not(.button), html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink a:not(.button) { - color: #fff; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-link a:not(.button) { - color: #fff; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-info a:not(.button) { - color: #fff; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-success a:not(.button) { - color: #fff; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-warning a:not(.button) { - color: #fff; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-danger a:not(.button) { - color: #fff; - text-decoration: underline; } - html.theme--documenter-dark .tag, html.theme--documenter-dark .content kbd, html.theme--documenter-dark .docstring > section > a.docs-sourcelink { - border-radius: 0.4em; } - html.theme--documenter-dark .menu-list a { - transition: all 300ms ease; } - html.theme--documenter-dark .modal-card-body { - background-color: #282f2f; } - html.theme--documenter-dark .modal-card-foot, - html.theme--documenter-dark .modal-card-head { - border-color: #343c3d; } - html.theme--documenter-dark .message-header { - font-weight: 700; - background-color: #343c3d; - color: white; } - html.theme--documenter-dark .message-body { - border-width: 1px; - border-color: #343c3d; } - html.theme--documenter-dark .navbar { - border-radius: 0.4em; } - html.theme--documenter-dark .navbar.is-transparent { - background: none; } - html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active { - background-color: #1abc9c; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .navbar .navbar-menu { - background-color: #375a7f; - border-radius: 0 0 0.4em 0.4em; } } - html.theme--documenter-dark .hero .navbar, - html.theme--documenter-dark body > .navbar { - border-radius: 0; } - html.theme--documenter-dark .pagination-link, - html.theme--documenter-dark .pagination-next, - html.theme--documenter-dark .pagination-previous { - border-width: 1px; } - html.theme--documenter-dark .panel-block, - html.theme--documenter-dark .panel-heading, - html.theme--documenter-dark .panel-tabs { - border-width: 1px; } - html.theme--documenter-dark .panel-block:first-child, - html.theme--documenter-dark .panel-heading:first-child, - html.theme--documenter-dark .panel-tabs:first-child { - border-top-width: 1px; } - html.theme--documenter-dark .panel-heading { - font-weight: 700; } - html.theme--documenter-dark .panel-tabs a { - border-width: 1px; - margin-bottom: -1px; } - html.theme--documenter-dark .panel-tabs a.is-active { - border-bottom-color: #17a689; } - html.theme--documenter-dark .panel-block:hover { - color: #1dd2af; } - html.theme--documenter-dark .panel-block:hover .panel-icon { - color: #1dd2af; } - html.theme--documenter-dark .panel-block.is-active .panel-icon { - color: #17a689; } - html.theme--documenter-dark .tabs a { - border-bottom-width: 1px; - margin-bottom: -1px; } - html.theme--documenter-dark .tabs ul { - border-bottom-width: 1px; } - html.theme--documenter-dark .tabs.is-boxed a { - border-width: 1px; } - html.theme--documenter-dark .tabs.is-boxed li.is-active a { - background-color: #1f2424; } - html.theme--documenter-dark .tabs.is-toggle li a { - border-width: 1px; - margin-bottom: 0; } - html.theme--documenter-dark .tabs.is-toggle li + li { - margin-left: -1px; } - html.theme--documenter-dark .hero.is-white .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-black .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-light .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-dark .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .content kbd.hero .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-primary .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-link .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-info .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-success .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-warning .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-danger .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark h1 .docs-heading-anchor, html.theme--documenter-dark h1 .docs-heading-anchor:hover, html.theme--documenter-dark h1 .docs-heading-anchor:visited, html.theme--documenter-dark h2 .docs-heading-anchor, html.theme--documenter-dark h2 .docs-heading-anchor:hover, html.theme--documenter-dark h2 .docs-heading-anchor:visited, html.theme--documenter-dark h3 .docs-heading-anchor, html.theme--documenter-dark h3 .docs-heading-anchor:hover, html.theme--documenter-dark h3 .docs-heading-anchor:visited, html.theme--documenter-dark h4 .docs-heading-anchor, html.theme--documenter-dark h4 .docs-heading-anchor:hover, html.theme--documenter-dark h4 .docs-heading-anchor:visited, html.theme--documenter-dark h5 .docs-heading-anchor, html.theme--documenter-dark h5 .docs-heading-anchor:hover, html.theme--documenter-dark h5 .docs-heading-anchor:visited, html.theme--documenter-dark h6 .docs-heading-anchor, html.theme--documenter-dark h6 .docs-heading-anchor:hover, html.theme--documenter-dark h6 .docs-heading-anchor:visited { - color: #f2f2f2; } - html.theme--documenter-dark h1 .docs-heading-anchor-permalink, html.theme--documenter-dark h2 .docs-heading-anchor-permalink, html.theme--documenter-dark h3 .docs-heading-anchor-permalink, html.theme--documenter-dark h4 .docs-heading-anchor-permalink, html.theme--documenter-dark h5 .docs-heading-anchor-permalink, html.theme--documenter-dark h6 .docs-heading-anchor-permalink { - visibility: hidden; - vertical-align: middle; - margin-left: 0.5em; - font-size: 0.7rem; } - html.theme--documenter-dark h1 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h2 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h3 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h4 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h5 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h6 .docs-heading-anchor-permalink::before { - font-family: "Font Awesome 5 Free"; - font-weight: 900; - content: "\f0c1"; } - html.theme--documenter-dark h1:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h2:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h3:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h4:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h5:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h6:hover .docs-heading-anchor-permalink { - visibility: visible; } - html.theme--documenter-dark .docs-light-only { - display: none !important; } - html.theme--documenter-dark pre { - position: relative; - overflow: hidden; } - html.theme--documenter-dark pre code, html.theme--documenter-dark pre code.hljs { - padding: 0 0.75rem !important; - overflow: auto; - display: block; } - html.theme--documenter-dark pre code:first-of-type, html.theme--documenter-dark pre code.hljs:first-of-type { - padding-top: 0.5rem !important; } - html.theme--documenter-dark pre code:last-of-type, html.theme--documenter-dark pre code.hljs:last-of-type { - padding-bottom: 0.5rem !important; } - html.theme--documenter-dark pre .copy-button { - opacity: 0.2; - transition: opacity 0.2s; - position: absolute; - right: 0em; - top: 0em; - padding: 0.5em; - width: 2.5em; - height: 2.5em; - background: transparent; - border: none; - font-family: "Font Awesome 5 Free"; - color: #fff; - cursor: pointer; - text-align: center; } - html.theme--documenter-dark pre .copy-button:focus, html.theme--documenter-dark pre .copy-button:hover { - opacity: 1; - background: rgba(255, 255, 255, 0.1); - color: #1abc9c; } - html.theme--documenter-dark pre .copy-button.success { - color: #259a12; - opacity: 1; } - html.theme--documenter-dark pre .copy-button.error { - color: #cb3c33; - opacity: 1; } - html.theme--documenter-dark pre:hover .copy-button { - opacity: 1; } - html.theme--documenter-dark .admonition { - background-color: #282f2f; - border-style: solid; - border-width: 1px; - border-color: #5e6d6f; - border-radius: 0.4em; - font-size: 15px; } - html.theme--documenter-dark .admonition strong { - color: currentColor; } - html.theme--documenter-dark .admonition.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.admonition { - font-size: 0.85em; } - html.theme--documenter-dark .admonition.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .admonition.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .admonition.is-default { - background-color: #282f2f; - border-color: #5e6d6f; } - html.theme--documenter-dark .admonition.is-default > .admonition-header { - background-color: #5e6d6f; } - html.theme--documenter-dark .admonition.is-info { - background-color: #282f2f; - border-color: #024c7d; } - html.theme--documenter-dark .admonition.is-info > .admonition-header { - background-color: #024c7d; } - html.theme--documenter-dark .admonition.is-success { - background-color: #282f2f; - border-color: #008438; } - html.theme--documenter-dark .admonition.is-success > .admonition-header { - background-color: #008438; } - html.theme--documenter-dark .admonition.is-warning { - background-color: #282f2f; - border-color: #ad8100; } - html.theme--documenter-dark .admonition.is-warning > .admonition-header { - background-color: #ad8100; } - html.theme--documenter-dark .admonition.is-danger { - background-color: #282f2f; - border-color: #9e1b0d; } - html.theme--documenter-dark .admonition.is-danger > .admonition-header { - background-color: #9e1b0d; } - html.theme--documenter-dark .admonition.is-compat { - background-color: #282f2f; - border-color: #137886; } - html.theme--documenter-dark .admonition.is-compat > .admonition-header { - background-color: #137886; } - html.theme--documenter-dark .admonition-header { - background-color: #5e6d6f; - align-items: center; - font-weight: 700; - justify-content: space-between; - line-height: 1.25; - padding: 0.5rem 0.75rem; - position: relative; } - html.theme--documenter-dark .admonition-header:before { - font-family: "Font Awesome 5 Free"; - font-weight: 900; - margin-right: 0.75rem; - content: "\f06a"; } - html.theme--documenter-dark .admonition-body { - color: #fff; - padding: 0.5rem 0.75rem; } - html.theme--documenter-dark .admonition-body pre { - background-color: #282f2f; } - html.theme--documenter-dark .admonition-body code { - background-color: rgba(255, 255, 255, 0.05); } - html.theme--documenter-dark .docstring { - margin-bottom: 1em; - background-color: transparent; - border: 1px solid #5e6d6f; - box-shadow: none; - max-width: 100%; } - html.theme--documenter-dark .docstring > header { - display: flex; - flex-grow: 1; - align-items: stretch; - padding: 0.5rem 0.75rem; - background-color: #282f2f; - box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1); - box-shadow: none; - border-bottom: 1px solid #5e6d6f; } - html.theme--documenter-dark .docstring > header code { - background-color: transparent; } - html.theme--documenter-dark .docstring > header .docstring-binding { - margin-right: 0.3em; } - html.theme--documenter-dark .docstring > header .docstring-category { - margin-left: 0.3em; } - html.theme--documenter-dark .docstring > section { - position: relative; - padding: 0.75rem 0.75rem; - border-bottom: 1px solid #5e6d6f; } - html.theme--documenter-dark .docstring > section:last-child { - border-bottom: none; } - html.theme--documenter-dark .docstring > section > a.docs-sourcelink { - transition: opacity 0.3s; - opacity: 0; - position: absolute; - right: 0.375rem; - bottom: 0.375rem; } - html.theme--documenter-dark .docstring > section > a.docs-sourcelink:focus { - opacity: 1 !important; } - html.theme--documenter-dark .docstring:hover > section > a.docs-sourcelink { - opacity: 0.2; } - html.theme--documenter-dark .docstring:focus-within > section > a.docs-sourcelink { - opacity: 0.2; } - html.theme--documenter-dark .docstring > section:hover a.docs-sourcelink { - opacity: 1; } - html.theme--documenter-dark .documenter-example-output { - background-color: #1f2424; } - html.theme--documenter-dark .outdated-warning-overlay { - position: fixed; - top: 0; - left: 0; - right: 0; - box-shadow: 0 0 10px rgba(0, 0, 0, 0.3); - z-index: 999; - background-color: #282f2f; - border-bottom: 3px solid #9e1b0d; - padding: 10px 35px; - text-align: center; - font-size: 15px; } - html.theme--documenter-dark .outdated-warning-overlay .outdated-warning-closer { - position: absolute; - top: calc(50% - 10px); - right: 18px; - cursor: pointer; - width: 12px; } - html.theme--documenter-dark .outdated-warning-overlay a { - color: #1abc9c; } - html.theme--documenter-dark .outdated-warning-overlay a:hover { - color: #1dd2af; } - html.theme--documenter-dark .content pre { - border: 1px solid #5e6d6f; } - html.theme--documenter-dark .content code { - font-weight: inherit; } - html.theme--documenter-dark .content a code { - color: #1abc9c; } - html.theme--documenter-dark .content h1 code, html.theme--documenter-dark .content h2 code, html.theme--documenter-dark .content h3 code, html.theme--documenter-dark .content h4 code, html.theme--documenter-dark .content h5 code, html.theme--documenter-dark .content h6 code { - color: #f2f2f2; } - html.theme--documenter-dark .content table { - display: block; - width: initial; - max-width: 100%; - overflow-x: auto; } - html.theme--documenter-dark .content blockquote > ul:first-child, html.theme--documenter-dark .content blockquote > ol:first-child, html.theme--documenter-dark .content .admonition-body > ul:first-child, html.theme--documenter-dark .content .admonition-body > ol:first-child { - margin-top: 0; } - html.theme--documenter-dark pre, html.theme--documenter-dark code { - font-variant-ligatures: no-contextual; } - html.theme--documenter-dark .breadcrumb a.is-disabled { - cursor: default; - pointer-events: none; } - html.theme--documenter-dark .breadcrumb a.is-disabled, html.theme--documenter-dark .breadcrumb a.is-disabled:hover { - color: #f2f2f2; } - html.theme--documenter-dark .hljs { - background: initial !important; } - html.theme--documenter-dark .katex .katex-mathml { - top: 0; - right: 0; } - html.theme--documenter-dark .katex-display, html.theme--documenter-dark mjx-container, html.theme--documenter-dark .MathJax_Display { - margin: 0.5em 0 !important; } - html.theme--documenter-dark html { - -moz-osx-font-smoothing: auto; - -webkit-font-smoothing: auto; } - html.theme--documenter-dark li.no-marker { - list-style: none; } - html.theme--documenter-dark #documenter .docs-main > article { - overflow-wrap: break-word; } - html.theme--documenter-dark #documenter .docs-main > article .math-container { - overflow-x: auto; - overflow-y: hidden; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark #documenter .docs-main { - max-width: 52rem; - margin-left: 20rem; - padding-right: 1rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark #documenter .docs-main { - width: 100%; } - html.theme--documenter-dark #documenter .docs-main > article { - max-width: 52rem; - margin-left: auto; - margin-right: auto; - margin-bottom: 1rem; - padding: 0 1rem; } - html.theme--documenter-dark #documenter .docs-main > header, html.theme--documenter-dark #documenter .docs-main > nav { - max-width: 100%; - width: 100%; - margin: 0; } } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar { - background-color: #1f2424; - border-bottom: 1px solid #5e6d6f; - z-index: 2; - min-height: 4rem; - margin-bottom: 1rem; - display: flex; } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar .breadcrumb { - flex-grow: 1; } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right { - display: flex; - white-space: nowrap; } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-icon, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button { - display: inline-block; } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label { - padding: 0; - margin-left: 0.3em; } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button { - margin: auto 0 auto 1rem; } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button { - font-size: 1.5rem; - margin: auto 0 auto 1rem; } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar > * { - margin: auto 0; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark #documenter .docs-main header.docs-navbar { - position: sticky; - top: 0; - padding: 0 1rem; - /* For Headroom.js */ - transition-property: top, box-shadow; - -webkit-transition-property: top, box-shadow; - /* Safari */ - transition-duration: 0.3s; - -webkit-transition-duration: 0.3s; - /* Safari */ } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--not-top { - box-shadow: 0.2rem 0rem 0.4rem #171717; - transition-duration: 0.7s; - -webkit-transition-duration: 0.7s; - /* Safari */ } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom { - top: -4.5rem; - transition-duration: 0.7s; - -webkit-transition-duration: 0.7s; - /* Safari */ } } - html.theme--documenter-dark #documenter .docs-main section.footnotes { - border-top: 1px solid #5e6d6f; } - html.theme--documenter-dark #documenter .docs-main section.footnotes li .tag:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .content kbd:first-child, html.theme--documenter-dark .content #documenter .docs-main section.footnotes li kbd:first-child { - margin-right: 1em; - margin-bottom: 0.4em; } - html.theme--documenter-dark #documenter .docs-main .docs-footer { - display: flex; - flex-wrap: wrap; - margin-left: 0; - margin-right: 0; - border-top: 1px solid #5e6d6f; - padding-top: 1rem; - padding-bottom: 1rem; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark #documenter .docs-main .docs-footer { - padding-left: 1rem; - padding-right: 1rem; } } - html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage, html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-prevpage { - flex-grow: 1; } - html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage { - text-align: right; } - html.theme--documenter-dark #documenter .docs-main .docs-footer .flexbox-break { - flex-basis: 100%; - height: 0; } - html.theme--documenter-dark #documenter .docs-main .docs-footer .footer-message { - font-size: 0.8em; - margin: 0.5em auto 0 auto; - text-align: center; } - html.theme--documenter-dark #documenter .docs-sidebar { - display: flex; - flex-direction: column; - color: #fff; - background-color: #282f2f; - border-right: 1px solid #5e6d6f; - padding: 0; - flex: 0 0 18rem; - z-index: 5; - font-size: 15px; - position: fixed; - left: -18rem; - width: 18rem; - height: 100%; - transition: left 0.3s; - /* Setting up a nicer theme style for the scrollbar */ } - html.theme--documenter-dark #documenter .docs-sidebar.visible { - left: 0; - box-shadow: 0.4rem 0rem 0.8rem #171717; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark #documenter .docs-sidebar.visible { - box-shadow: none; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark #documenter .docs-sidebar { - left: 0; - top: 0; } } - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo { - margin-top: 1rem; - padding: 0 1rem; } - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img { - max-height: 6rem; - margin: auto; } - html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name { - flex-shrink: 0; - font-size: 1.5rem; - font-weight: 700; - text-align: center; - white-space: nowrap; - overflow: hidden; - padding: 0.5rem 0; } - html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name .docs-autofit { - max-width: 16.2rem; } - html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a, html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a:hover { - color: #fff; } - html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector { - border-top: 1px solid #5e6d6f; - display: none; - padding: 0.5rem; } - html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector.visible { - display: flex; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu { - flex-grow: 1; - user-select: none; - border-top: 1px solid #5e6d6f; - padding-bottom: 1.5rem; - /* Managing collapsible submenus */ } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li > .tocitem { - font-weight: bold; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li li { - font-size: 14.25px; - margin-left: 1em; - border-left: 1px solid #5e6d6f; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input.collapse-toggle { - display: none; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.collapsed { - display: none; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed { - display: block; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem { - display: flex; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label { - flex-grow: 2; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron { - display: inline-block; - font-style: normal; - font-variant: normal; - text-rendering: auto; - line-height: 1; - font-size: 11.25px; - margin-left: 1rem; - margin-top: auto; - margin-bottom: auto; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before { - font-family: "Font Awesome 5 Free"; - font-weight: 900; - content: "\f054"; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before { - content: "\f078"; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem { - display: block; - padding: 0.5rem 0.5rem; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem:hover { - color: #fff; - background: #282f2f; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem:hover { - color: #fff; - background-color: #32393a; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active { - border-top: 1px solid #5e6d6f; - border-bottom: 1px solid #5e6d6f; - background-color: #1f2424; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover { - background-color: #1f2424; - color: #fff; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover { - background-color: #32393a; - color: #fff; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child { - border-top: none; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal { - margin: 0 0.5rem 0.5rem; - border-top: 1px solid #5e6d6f; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal li { - font-size: 12.75px; - border-left: none; - margin-left: 0; - margin-top: 0.5rem; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem { - width: 100%; - padding: 0; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before { - content: "⚬"; - margin-right: 0.4em; } - html.theme--documenter-dark #documenter .docs-sidebar form.docs-search { - margin: auto; - margin-top: 0.5rem; - margin-bottom: 0.5rem; } - html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input { - width: 14.4rem; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu { - overflow-y: auto; - -webkit-overflow-scroll: touch; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar { - width: .3rem; - background: none; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb { - border-radius: 5px 0px 0px 5px; - background: #3b4445; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover { - background: #4e5a5c; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark #documenter .docs-sidebar { - overflow-y: auto; - -webkit-overflow-scroll: touch; } - html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar { - width: .3rem; - background: none; } - html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb { - border-radius: 5px 0px 0px 5px; - background: #3b4445; } - html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover { - background: #4e5a5c; } } - html.theme--documenter-dark #documenter .docs-main #documenter-search-info { - margin-bottom: 1rem; } - html.theme--documenter-dark #documenter .docs-main #documenter-search-results { - list-style-type: circle; - list-style-position: outside; } - html.theme--documenter-dark #documenter .docs-main #documenter-search-results li { - margin-left: 2rem; } - html.theme--documenter-dark #documenter .docs-main #documenter-search-results .docs-highlight { - background-color: yellow; } - html.theme--documenter-dark { - background-color: #1f2424; - font-size: 16px; - min-width: 300px; - overflow-x: auto; - overflow-y: scroll; - text-rendering: optimizeLegibility; - text-size-adjust: 100%; } - html.theme--documenter-dark .ansi span.sgr1 { - font-weight: bolder; } - html.theme--documenter-dark .ansi span.sgr2 { - font-weight: lighter; } - html.theme--documenter-dark .ansi span.sgr3 { - font-style: italic; } - html.theme--documenter-dark .ansi span.sgr4 { - text-decoration: underline; } - html.theme--documenter-dark .ansi span.sgr7 { - color: #1f2424; - background-color: #fff; } - html.theme--documenter-dark .ansi span.sgr8 { - color: transparent; } - html.theme--documenter-dark .ansi span.sgr8 span { - color: transparent; } - html.theme--documenter-dark .ansi span.sgr9 { - text-decoration: line-through; } - html.theme--documenter-dark .ansi span.sgr30 { - color: #242424; } - html.theme--documenter-dark .ansi span.sgr31 { - color: #f6705f; } - html.theme--documenter-dark .ansi span.sgr32 { - color: #4fb43a; } - html.theme--documenter-dark .ansi span.sgr33 { - color: #f4c72f; } - html.theme--documenter-dark .ansi span.sgr34 { - color: #7587f0; } - html.theme--documenter-dark .ansi span.sgr35 { - color: #bc89d3; } - html.theme--documenter-dark .ansi span.sgr36 { - color: #49b6ca; } - html.theme--documenter-dark .ansi span.sgr37 { - color: #b3bdbe; } - html.theme--documenter-dark .ansi span.sgr40 { - background-color: #242424; } - html.theme--documenter-dark .ansi span.sgr41 { - background-color: #f6705f; } - html.theme--documenter-dark .ansi span.sgr42 { - background-color: #4fb43a; } - html.theme--documenter-dark .ansi span.sgr43 { - background-color: #f4c72f; } - html.theme--documenter-dark .ansi span.sgr44 { - background-color: #7587f0; } - html.theme--documenter-dark .ansi span.sgr45 { - background-color: #bc89d3; } - html.theme--documenter-dark .ansi span.sgr46 { - background-color: #49b6ca; } - html.theme--documenter-dark .ansi span.sgr47 { - background-color: #b3bdbe; } - html.theme--documenter-dark .ansi span.sgr90 { - color: #92a0a2; } - html.theme--documenter-dark .ansi span.sgr91 { - color: #ff8674; } - html.theme--documenter-dark .ansi span.sgr92 { - color: #79d462; } - html.theme--documenter-dark .ansi span.sgr93 { - color: #ffe76b; } - html.theme--documenter-dark .ansi span.sgr94 { - color: #8a98ff; } - html.theme--documenter-dark .ansi span.sgr95 { - color: #d2a4e6; } - html.theme--documenter-dark .ansi span.sgr96 { - color: #6bc8db; } - html.theme--documenter-dark .ansi span.sgr97 { - color: #ecf0f1; } - html.theme--documenter-dark .ansi span.sgr100 { - background-color: #92a0a2; } - html.theme--documenter-dark .ansi span.sgr101 { - background-color: #ff8674; } - html.theme--documenter-dark .ansi span.sgr102 { - background-color: #79d462; } - html.theme--documenter-dark .ansi span.sgr103 { - background-color: #ffe76b; } - html.theme--documenter-dark .ansi span.sgr104 { - background-color: #8a98ff; } - html.theme--documenter-dark .ansi span.sgr105 { - background-color: #d2a4e6; } - html.theme--documenter-dark .ansi span.sgr106 { - background-color: #6bc8db; } - html.theme--documenter-dark .ansi span.sgr107 { - background-color: #ecf0f1; } - html.theme--documenter-dark code.language-julia-repl > span.hljs-meta { - color: #4fb43a; - font-weight: bolder; } - html.theme--documenter-dark .hljs { - background: #2b2b2b; - color: #f8f8f2; } - html.theme--documenter-dark .hljs-comment, - html.theme--documenter-dark .hljs-quote { - color: #d4d0ab; } - html.theme--documenter-dark .hljs-variable, - html.theme--documenter-dark .hljs-template-variable, - html.theme--documenter-dark .hljs-tag, - html.theme--documenter-dark .hljs-name, - html.theme--documenter-dark .hljs-selector-id, - html.theme--documenter-dark .hljs-selector-class, - html.theme--documenter-dark .hljs-regexp, - html.theme--documenter-dark .hljs-deletion { - color: #ffa07a; } - html.theme--documenter-dark .hljs-number, - html.theme--documenter-dark .hljs-built_in, - html.theme--documenter-dark .hljs-literal, - html.theme--documenter-dark .hljs-type, - html.theme--documenter-dark .hljs-params, - html.theme--documenter-dark .hljs-meta, - html.theme--documenter-dark .hljs-link { - color: #f5ab35; } - html.theme--documenter-dark .hljs-attribute { - color: #ffd700; } - html.theme--documenter-dark .hljs-string, - html.theme--documenter-dark .hljs-symbol, - html.theme--documenter-dark .hljs-bullet, - html.theme--documenter-dark .hljs-addition { - color: #abe338; } - html.theme--documenter-dark .hljs-title, - html.theme--documenter-dark .hljs-section { - color: #00e0e0; } - html.theme--documenter-dark .hljs-keyword, - html.theme--documenter-dark .hljs-selector-tag { - color: #dcc6e0; } - html.theme--documenter-dark .hljs-emphasis { - font-style: italic; } - html.theme--documenter-dark .hljs-strong { - font-weight: bold; } - @media screen and (-ms-high-contrast: active) { - html.theme--documenter-dark .hljs-addition, - html.theme--documenter-dark .hljs-attribute, - html.theme--documenter-dark .hljs-built_in, - html.theme--documenter-dark .hljs-bullet, - html.theme--documenter-dark .hljs-comment, - html.theme--documenter-dark .hljs-link, - html.theme--documenter-dark .hljs-literal, - html.theme--documenter-dark .hljs-meta, - html.theme--documenter-dark .hljs-number, - html.theme--documenter-dark .hljs-params, - html.theme--documenter-dark .hljs-string, - html.theme--documenter-dark .hljs-symbol, - html.theme--documenter-dark .hljs-type, - html.theme--documenter-dark .hljs-quote { - color: highlight; } - html.theme--documenter-dark .hljs-keyword, - html.theme--documenter-dark .hljs-selector-tag { - font-weight: bold; } } - html.theme--documenter-dark .hljs-subst { - color: #f8f8f2; } +*/}html.theme--documenter-dark html{background-color:#1f2424;font-size:16px;-moz-osx-font-smoothing:grayscale;-webkit-font-smoothing:antialiased;min-width:300px;overflow-x:auto;overflow-y:scroll;text-rendering:optimizeLegibility;text-size-adjust:100%}html.theme--documenter-dark article,html.theme--documenter-dark aside,html.theme--documenter-dark figure,html.theme--documenter-dark footer,html.theme--documenter-dark header,html.theme--documenter-dark hgroup,html.theme--documenter-dark section{display:block}html.theme--documenter-dark body,html.theme--documenter-dark button,html.theme--documenter-dark input,html.theme--documenter-dark optgroup,html.theme--documenter-dark select,html.theme--documenter-dark textarea{font-family:"Lato Medium",-apple-system,BlinkMacSystemFont,"Segoe UI","Helvetica Neue","Helvetica","Arial",sans-serif}html.theme--documenter-dark code,html.theme--documenter-dark pre{-moz-osx-font-smoothing:auto;-webkit-font-smoothing:auto;font-family:"JuliaMono","SFMono-Regular","Menlo","Consolas","Liberation Mono","DejaVu Sans Mono",monospace}html.theme--documenter-dark body{color:#fff;font-size:1em;font-weight:400;line-height:1.5}html.theme--documenter-dark a{color:#1abc9c;cursor:pointer;text-decoration:none}html.theme--documenter-dark a strong{color:currentColor}html.theme--documenter-dark a:hover{color:#1dd2af}html.theme--documenter-dark code{background-color:rgba(255,255,255,0.05);color:#ececec;font-size:.875em;font-weight:normal;padding:.1em}html.theme--documenter-dark hr{background-color:#282f2f;border:none;display:block;height:2px;margin:1.5rem 0}html.theme--documenter-dark img{height:auto;max-width:100%}html.theme--documenter-dark input[type="checkbox"],html.theme--documenter-dark input[type="radio"]{vertical-align:baseline}html.theme--documenter-dark small{font-size:.875em}html.theme--documenter-dark span{font-style:inherit;font-weight:inherit}html.theme--documenter-dark strong{color:#f2f2f2;font-weight:700}html.theme--documenter-dark fieldset{border:none}html.theme--documenter-dark pre{-webkit-overflow-scrolling:touch;background-color:#282f2f;color:#fff;font-size:.875em;overflow-x:auto;padding:1.25rem 1.5rem;white-space:pre;word-wrap:normal}html.theme--documenter-dark pre code{background-color:transparent;color:currentColor;font-size:1em;padding:0}html.theme--documenter-dark table td,html.theme--documenter-dark table th{vertical-align:top}html.theme--documenter-dark table td:not([align]),html.theme--documenter-dark table th:not([align]){text-align:inherit}html.theme--documenter-dark table th{color:#f2f2f2}html.theme--documenter-dark .box{background-color:#343c3d;border-radius:8px;box-shadow:none;color:#fff;display:block;padding:1.25rem}html.theme--documenter-dark a.box:hover,html.theme--documenter-dark a.box:focus{box-shadow:0 0.5em 1em -0.125em rgba(10,10,10,0.1),0 0 0 1px #1abc9c}html.theme--documenter-dark a.box:active{box-shadow:inset 0 1px 2px rgba(10,10,10,0.2),0 0 0 1px #1abc9c}html.theme--documenter-dark .button{background-color:#282f2f;border-color:#4c5759;border-width:1px;color:#375a7f;cursor:pointer;justify-content:center;padding-bottom:calc(0.5em - 1px);padding-left:1em;padding-right:1em;padding-top:calc(0.5em - 1px);text-align:center;white-space:nowrap}html.theme--documenter-dark .button strong{color:inherit}html.theme--documenter-dark .button .icon,html.theme--documenter-dark .button .icon.is-small,html.theme--documenter-dark .button #documenter .docs-sidebar form.docs-search>input.icon,html.theme--documenter-dark #documenter .docs-sidebar .button form.docs-search>input.icon,html.theme--documenter-dark .button .icon.is-medium,html.theme--documenter-dark .button .icon.is-large{height:1.5em;width:1.5em}html.theme--documenter-dark .button .icon:first-child:not(:last-child){margin-left:calc(-0.5em - 1px);margin-right:.25em}html.theme--documenter-dark .button .icon:last-child:not(:first-child){margin-left:.25em;margin-right:calc(-0.5em - 1px)}html.theme--documenter-dark .button .icon:first-child:last-child{margin-left:calc(-0.5em - 1px);margin-right:calc(-0.5em - 1px)}html.theme--documenter-dark .button:hover,html.theme--documenter-dark .button.is-hovered{border-color:#8c9b9d;color:#f2f2f2}html.theme--documenter-dark .button:focus,html.theme--documenter-dark .button.is-focused{border-color:#8c9b9d;color:#17a689}html.theme--documenter-dark .button:focus:not(:active),html.theme--documenter-dark .button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(26,188,156,0.25)}html.theme--documenter-dark .button:active,html.theme--documenter-dark .button.is-active{border-color:#343c3d;color:#f2f2f2}html.theme--documenter-dark .button.is-text{background-color:transparent;border-color:transparent;color:#fff;text-decoration:underline}html.theme--documenter-dark .button.is-text:hover,html.theme--documenter-dark .button.is-text.is-hovered,html.theme--documenter-dark .button.is-text:focus,html.theme--documenter-dark .button.is-text.is-focused{background-color:#282f2f;color:#f2f2f2}html.theme--documenter-dark .button.is-text:active,html.theme--documenter-dark .button.is-text.is-active{background-color:#1d2122;color:#f2f2f2}html.theme--documenter-dark .button.is-text[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-text{background-color:transparent;border-color:transparent;box-shadow:none}html.theme--documenter-dark .button.is-ghost{background:none;border-color:rgba(0,0,0,0);color:#1abc9c;text-decoration:none}html.theme--documenter-dark .button.is-ghost:hover,html.theme--documenter-dark .button.is-ghost.is-hovered{color:#1abc9c;text-decoration:underline}html.theme--documenter-dark .button.is-white{background-color:#fff;border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white:hover,html.theme--documenter-dark .button.is-white.is-hovered{background-color:#f9f9f9;border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white:focus,html.theme--documenter-dark .button.is-white.is-focused{border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white:focus:not(:active),html.theme--documenter-dark .button.is-white.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--documenter-dark .button.is-white:active,html.theme--documenter-dark .button.is-white.is-active{background-color:#f2f2f2;border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white{background-color:#fff;border-color:#fff;box-shadow:none}html.theme--documenter-dark .button.is-white.is-inverted{background-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted:hover,html.theme--documenter-dark .button.is-white.is-inverted.is-hovered{background-color:#000}html.theme--documenter-dark .button.is-white.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted{background-color:#0a0a0a;border-color:transparent;box-shadow:none;color:#fff}html.theme--documenter-dark 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.button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:hover,html.theme--documenter-dark .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus,html.theme--documenter-dark .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus:not(:active),html.theme--documenter-dark .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--documenter-dark .button.is-black:active,html.theme--documenter-dark .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:hover,html.theme--documenter-dark .button.is-light.is-hovered{background-color:#e5eaec;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus,html.theme--documenter-dark .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus:not(:active),html.theme--documenter-dark .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(236,240,241,0.25)}html.theme--documenter-dark .button.is-light:active,html.theme--documenter-dark .button.is-light.is-active{background-color:#dde4e6;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:#ecf0f1;box-shadow:none}html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-outlined.is-focused{background-color:#ecf0f1;border-color:#ecf0f1;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:#282f2f;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#fff}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-primary,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:hover,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#335476;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus:not(:active),html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus:not(:active),html.theme--documenter-dark .button.is-primary.is-focused:not(:active),html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink:not(:active){box-shadow:0 0 0 0.125em rgba(55,90,127,0.25)}html.theme--documenter-dark .button.is-primary:active,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:active,html.theme--documenter-dark .button.is-primary.is-active,html.theme--documenter-dark .docstring>section>a.button.is-active.docs-sourcelink{background-color:#2f4d6d;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary[disabled],html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:#375a7f;box-shadow:none}html.theme--documenter-dark .button.is-primary.is-inverted,html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;color:#375a7f}html.theme--documenter-dark .button.is-primary.is-inverted:hover,html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-inverted.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-hovered.docs-sourcelink{background-color:#f2f2f2}html.theme--documenter-dark .button.is-primary.is-inverted[disabled],html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;border-color:transparent;box-shadow:none;color:#375a7f}html.theme--documenter-dark .button.is-primary.is-loading::after,html.theme--documenter-dark 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.button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #cb3c33 #cb3c33 !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fbefef;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#f8e6e5;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#f6dcda;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 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.buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--documenter-dark .buttons.has-addons .button:last-child{margin-right:0}html.theme--documenter-dark .buttons.has-addons .button:hover,html.theme--documenter-dark .buttons.has-addons .button.is-hovered{z-index:2}html.theme--documenter-dark .buttons.has-addons .button:focus,html.theme--documenter-dark .buttons.has-addons .button.is-focused,html.theme--documenter-dark .buttons.has-addons .button:active,html.theme--documenter-dark .buttons.has-addons .button.is-active,html.theme--documenter-dark .buttons.has-addons .button.is-selected{z-index:3}html.theme--documenter-dark .buttons.has-addons .button:focus:hover,html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover,html.theme--documenter-dark .buttons.has-addons .button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--documenter-dark .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .buttons.is-centered{justify-content:center}html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .buttons.is-right{justify-content:flex-end}html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--documenter-dark .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table th{color:#f2f2f2}html.theme--documenter-dark .content table th:not([align]){text-align:inherit}html.theme--documenter-dark .content table thead td,html.theme--documenter-dark .content table thead th{border-width:0 0 2px;color:#f2f2f2}html.theme--documenter-dark .content table tfoot td,html.theme--documenter-dark .content table tfoot th{border-width:2px 0 0;color:#f2f2f2}html.theme--documenter-dark .content table tbody tr:last-child td,html.theme--documenter-dark .content table tbody tr:last-child th{border-bottom-width:0}html.theme--documenter-dark .content .tabs li+li{margin-top:0}html.theme--documenter-dark .content.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--documenter-dark .content.is-normal{font-size:1rem}html.theme--documenter-dark .content.is-medium{font-size:1.25rem}html.theme--documenter-dark .content.is-large{font-size:1.5rem}html.theme--documenter-dark .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--documenter-dark .icon.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--documenter-dark .icon.is-medium{height:2rem;width:2rem}html.theme--documenter-dark .icon.is-large{height:3rem;width:3rem}html.theme--documenter-dark .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--documenter-dark .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--documenter-dark .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--documenter-dark .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--documenter-dark div.icon-text{display:flex}html.theme--documenter-dark .image,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--documenter-dark .image img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--documenter-dark .image img.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--documenter-dark .image.is-fullwidth,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--documenter-dark .image.is-square img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--documenter-dark .image.is-square .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--documenter-dark .image.is-1by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--documenter-dark .image.is-1by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--documenter-dark .image.is-5by4 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--documenter-dark .image.is-5by4 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--documenter-dark .image.is-4by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--documenter-dark .image.is-4by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--documenter-dark .image.is-3by2 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--documenter-dark .image.is-3by2 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--documenter-dark .image.is-5by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--documenter-dark .image.is-5by3 .has-ratio,html.theme--documenter-dark #documenter 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.docs-chevron{display:inline-block;font-style:normal;font-variant:normal;text-rendering:auto;line-height:1;font-size:.75rem;margin-left:1rem;margin-top:auto;margin-bottom:auto}html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before{font-family:"Font Awesome 6 Free";font-weight:900;content:"\f054"}html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked~label.tocitem .docs-chevron::before{content:"\f078"}html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem{display:block;padding:0.5rem 0.5rem}html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem,html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem:hover{color:#fff;background:#282f2f}html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu a.tocitem:hover,html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu 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#documenter .docs-sidebar ul.docs-menu ul.internal .tocitem{width:100%;padding:0}html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before{content:"⚬";margin-right:0.4em}html.theme--documenter-dark #documenter .docs-sidebar form.docs-search{margin:auto;margin-top:0.5rem;margin-bottom:0.5rem}html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input{width:14.4rem}html.theme--documenter-dark #documenter .docs-sidebar #documenter-search-query{color:#868c98;width:14.4rem;box-shadow:inset 0 1px 2px rgba(10,10,10,0.1)}@media screen and (min-width: 1056px){html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu{overflow-y:auto;-webkit-overflow-scroll:touch}html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar{width:.3rem;background:none}html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb{border-radius:5px 0px 0px 5px;background:#3b4445}html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover{background:#4e5a5c}}@media screen and (max-width: 1055px){html.theme--documenter-dark #documenter .docs-sidebar{overflow-y:auto;-webkit-overflow-scroll:touch}html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar{width:.3rem;background:none}html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb{border-radius:5px 0px 0px 5px;background:#3b4445}html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover{background:#4e5a5c}}html.theme--documenter-dark kbd.search-modal-key-hints{border-radius:0.25rem;border:1px solid rgba(245,245,245,0.6);box-shadow:0 2px 0 1px rgba(245,245,245,0.6);cursor:default;font-size:0.9rem;line-height:1.5;min-width:0.75rem;text-align:center;padding:0.1rem 0.3rem;position:relative;top:-1px}html.theme--documenter-dark .search-min-width-50{min-width:50%}html.theme--documenter-dark 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span.sgr34{color:#7587f0}html.theme--documenter-dark .ansi span.sgr35{color:#bc89d3}html.theme--documenter-dark .ansi span.sgr36{color:#49b6ca}html.theme--documenter-dark .ansi span.sgr37{color:#b3bdbe}html.theme--documenter-dark .ansi span.sgr40{background-color:#242424}html.theme--documenter-dark .ansi span.sgr41{background-color:#f6705f}html.theme--documenter-dark .ansi span.sgr42{background-color:#4fb43a}html.theme--documenter-dark .ansi span.sgr43{background-color:#f4c72f}html.theme--documenter-dark .ansi span.sgr44{background-color:#7587f0}html.theme--documenter-dark .ansi span.sgr45{background-color:#bc89d3}html.theme--documenter-dark .ansi span.sgr46{background-color:#49b6ca}html.theme--documenter-dark .ansi span.sgr47{background-color:#b3bdbe}html.theme--documenter-dark .ansi span.sgr90{color:#92a0a2}html.theme--documenter-dark .ansi span.sgr91{color:#ff8674}html.theme--documenter-dark .ansi span.sgr92{color:#79d462}html.theme--documenter-dark .ansi span.sgr93{color:#ffe76b}html.theme--documenter-dark .ansi span.sgr94{color:#8a98ff}html.theme--documenter-dark .ansi span.sgr95{color:#d2a4e6}html.theme--documenter-dark .ansi span.sgr96{color:#6bc8db}html.theme--documenter-dark .ansi span.sgr97{color:#ecf0f1}html.theme--documenter-dark .ansi span.sgr100{background-color:#92a0a2}html.theme--documenter-dark .ansi span.sgr101{background-color:#ff8674}html.theme--documenter-dark .ansi span.sgr102{background-color:#79d462}html.theme--documenter-dark .ansi span.sgr103{background-color:#ffe76b}html.theme--documenter-dark .ansi span.sgr104{background-color:#8a98ff}html.theme--documenter-dark .ansi span.sgr105{background-color:#d2a4e6}html.theme--documenter-dark .ansi span.sgr106{background-color:#6bc8db}html.theme--documenter-dark .ansi span.sgr107{background-color:#ecf0f1}html.theme--documenter-dark code.language-julia-repl>span.hljs-meta{color:#4fb43a;font-weight:bolder}html.theme--documenter-dark .hljs{background:#2b2b2b;color:#f8f8f2}html.theme--documenter-dark .hljs-comment,html.theme--documenter-dark .hljs-quote{color:#d4d0ab}html.theme--documenter-dark .hljs-variable,html.theme--documenter-dark .hljs-template-variable,html.theme--documenter-dark .hljs-tag,html.theme--documenter-dark .hljs-name,html.theme--documenter-dark .hljs-selector-id,html.theme--documenter-dark .hljs-selector-class,html.theme--documenter-dark .hljs-regexp,html.theme--documenter-dark .hljs-deletion{color:#ffa07a}html.theme--documenter-dark .hljs-number,html.theme--documenter-dark .hljs-built_in,html.theme--documenter-dark .hljs-literal,html.theme--documenter-dark .hljs-type,html.theme--documenter-dark .hljs-params,html.theme--documenter-dark .hljs-meta,html.theme--documenter-dark .hljs-link{color:#f5ab35}html.theme--documenter-dark .hljs-attribute{color:#ffd700}html.theme--documenter-dark .hljs-string,html.theme--documenter-dark .hljs-symbol,html.theme--documenter-dark .hljs-bullet,html.theme--documenter-dark .hljs-addition{color:#abe338}html.theme--documenter-dark .hljs-title,html.theme--documenter-dark .hljs-section{color:#00e0e0}html.theme--documenter-dark .hljs-keyword,html.theme--documenter-dark .hljs-selector-tag{color:#dcc6e0}html.theme--documenter-dark .hljs-emphasis{font-style:italic}html.theme--documenter-dark .hljs-strong{font-weight:bold}@media screen and (-ms-high-contrast: active){html.theme--documenter-dark .hljs-addition,html.theme--documenter-dark .hljs-attribute,html.theme--documenter-dark .hljs-built_in,html.theme--documenter-dark .hljs-bullet,html.theme--documenter-dark .hljs-comment,html.theme--documenter-dark .hljs-link,html.theme--documenter-dark .hljs-literal,html.theme--documenter-dark .hljs-meta,html.theme--documenter-dark .hljs-number,html.theme--documenter-dark .hljs-params,html.theme--documenter-dark .hljs-string,html.theme--documenter-dark .hljs-symbol,html.theme--documenter-dark .hljs-type,html.theme--documenter-dark .hljs-quote{color:highlight}html.theme--documenter-dark .hljs-keyword,html.theme--documenter-dark .hljs-selector-tag{font-weight:bold}}html.theme--documenter-dark .hljs-subst{color:#f8f8f2}html.theme--documenter-dark .search-result-link{border-radius:0.7em;transition:all 300ms}html.theme--documenter-dark .search-result-link:hover,html.theme--documenter-dark .search-result-link:focus{background-color:rgba(0,128,128,0.1)}html.theme--documenter-dark .search-result-link .property-search-result-badge,html.theme--documenter-dark .search-result-link .search-filter{transition:all 300ms}html.theme--documenter-dark .search-result-link:hover .property-search-result-badge,html.theme--documenter-dark .search-result-link:hover .search-filter,html.theme--documenter-dark .search-result-link:focus .property-search-result-badge,html.theme--documenter-dark .search-result-link:focus .search-filter{color:#333 !important;background-color:#f1f5f9 !important}html.theme--documenter-dark .search-result-title{color:whitesmoke}html.theme--documenter-dark .search-result-highlight{background-color:greenyellow;color:black}html.theme--documenter-dark .search-divider{border-bottom:1px solid #5e6d6f50}html.theme--documenter-dark .w-100{width:100%}html.theme--documenter-dark .gap-2{gap:0.5rem}html.theme--documenter-dark .gap-4{gap:1rem} diff --git a/dev/assets/themes/documenter-light.css b/dev/assets/themes/documenter-light.css index 9595d5b8..e000447e 100644 --- a/dev/assets/themes/documenter-light.css +++ b/dev/assets/themes/documenter-light.css @@ -1,7642 +1,4 @@ -@charset "UTF-8"; -/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */ -@keyframes spinAround { - from { - transform: rotate(0deg); } - to { - transform: rotate(359deg); } } - -.tabs, .pagination-previous, -.pagination-next, -.pagination-link, -.pagination-ellipsis, .breadcrumb, .file, .button, .is-unselectable, .modal-close, .delete { - -webkit-touch-callout: none; - -webkit-user-select: none; - -moz-user-select: none; - -ms-user-select: none; - user-select: none; } - -.navbar-link:not(.is-arrowless)::after, .select:not(.is-multiple):not(.is-loading)::after { - border: 3px solid transparent; - border-radius: 2px; - border-right: 0; - border-top: 0; - content: " "; - display: block; - height: 0.625em; - margin-top: -0.4375em; - pointer-events: none; - position: absolute; - top: 50%; - transform: rotate(-45deg); - transform-origin: center; - width: 0.625em; } - -.admonition:not(:last-child), .tabs:not(:last-child), .message:not(:last-child), .list:not(:last-child), .level:not(:last-child), .breadcrumb:not(:last-child), .highlight:not(:last-child), .block:not(:last-child), .title:not(:last-child), -.subtitle:not(:last-child), .table-container:not(:last-child), .table:not(:last-child), .progress:not(:last-child), .notification:not(:last-child), .content:not(:last-child), .box:not(:last-child) { - margin-bottom: 1.5rem; } - -.modal-close, .delete { - -moz-appearance: none; - -webkit-appearance: none; - background-color: rgba(10, 10, 10, 0.2); - border: none; - border-radius: 290486px; - cursor: pointer; - pointer-events: auto; - display: inline-block; - flex-grow: 0; - flex-shrink: 0; - font-size: 0; - height: 20px; - max-height: 20px; - max-width: 20px; - min-height: 20px; - min-width: 20px; - outline: none; - position: relative; - vertical-align: top; - width: 20px; } - .modal-close::before, .delete::before, .modal-close::after, .delete::after { - background-color: white; - content: ""; - display: block; - left: 50%; - position: absolute; - top: 50%; - transform: translateX(-50%) translateY(-50%) rotate(45deg); - transform-origin: center center; } - .modal-close::before, .delete::before { - height: 2px; - width: 50%; } - .modal-close::after, .delete::after { - height: 50%; - width: 2px; } - .modal-close:hover, .delete:hover, .modal-close:focus, .delete:focus { - background-color: rgba(10, 10, 10, 0.3); 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} - -.is-family-monospace { - font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; } - -.is-family-code { - font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; } - -.is-block { - display: block !important; } - -@media screen and (max-width: 768px) { - .is-block-mobile { - display: block !important; } } - -@media screen and (min-width: 769px), print { - .is-block-tablet { - display: block !important; } } - -@media screen and (min-width: 769px) and (max-width: 1055px) { - .is-block-tablet-only { - display: block !important; } } - -@media screen and (max-width: 1055px) { - .is-block-touch { - display: block !important; } } - -@media screen and (min-width: 1056px) { - .is-block-desktop { - display: block !important; } } - -@media screen and (min-width: 1056px) and (max-width: 1215px) { - .is-block-desktop-only { - display: block !important; } } - -@media screen and (min-width: 1216px) { - .is-block-widescreen { - display: block !important; } } - -@media screen and (min-width: 1216px) and (max-width: 1407px) { - .is-block-widescreen-only { - display: block !important; } } - -@media screen and (min-width: 1408px) { - .is-block-fullhd { - display: block !important; } } - -.is-flex { - display: flex !important; } - -@media screen and (max-width: 768px) { - .is-flex-mobile { - display: flex !important; } } - -@media screen and (min-width: 769px), print { - .is-flex-tablet { - display: flex !important; } } - -@media screen and (min-width: 769px) and (max-width: 1055px) { - .is-flex-tablet-only { - display: flex !important; } } - -@media screen and (max-width: 1055px) { - .is-flex-touch { - display: flex !important; } } - -@media screen and (min-width: 1056px) { - .is-flex-desktop { - display: flex !important; } } - -@media screen and (min-width: 1056px) and (max-width: 1215px) { - .is-flex-desktop-only { - display: flex !important; } } - -@media screen and (min-width: 1216px) { - .is-flex-widescreen { - display: flex !important; } } - -@media screen and (min-width: 1216px) and (max-width: 1407px) { - .is-flex-widescreen-only { - display: flex !important; } } - -@media screen and (min-width: 1408px) { - .is-flex-fullhd { - display: flex !important; } } - -.is-inline { - display: inline !important; } - -@media screen and (max-width: 768px) { - .is-inline-mobile { - display: inline !important; } } - -@media screen and (min-width: 769px), print { - .is-inline-tablet { - display: inline !important; } } - -@media screen and (min-width: 769px) and (max-width: 1055px) { - .is-inline-tablet-only { - display: inline !important; } } - -@media screen and (max-width: 1055px) { - .is-inline-touch { - display: inline !important; } } - -@media screen and (min-width: 1056px) { - .is-inline-desktop { - display: inline !important; } } - -@media screen and (min-width: 1056px) and (max-width: 1215px) { - .is-inline-desktop-only { - display: inline !important; } } - -@media screen and (min-width: 1216px) { - .is-inline-widescreen { - display: inline !important; } } - -@media screen and (min-width: 1216px) and (max-width: 1407px) { - .is-inline-widescreen-only { - display: inline !important; } } - -@media screen and (min-width: 1408px) { - .is-inline-fullhd { - display: inline !important; } } - -.is-inline-block { - display: inline-block !important; } - -@media screen and (max-width: 768px) { - .is-inline-block-mobile { - display: inline-block !important; } } - -@media screen and (min-width: 769px), print { - .is-inline-block-tablet { - display: inline-block !important; } } - -@media screen and (min-width: 769px) and (max-width: 1055px) { - .is-inline-block-tablet-only { - display: inline-block !important; } } - -@media screen and (max-width: 1055px) { - .is-inline-block-touch { - display: inline-block !important; } } - -@media screen and (min-width: 1056px) { - .is-inline-block-desktop { - display: inline-block !important; } } - -@media screen and (min-width: 1056px) and (max-width: 1215px) { - .is-inline-block-desktop-only { - display: inline-block !important; } } - -@media screen and (min-width: 1216px) { - .is-inline-block-widescreen { - display: inline-block !important; } } - -@media screen and (min-width: 1216px) and (max-width: 1407px) { - .is-inline-block-widescreen-only { - display: inline-block !important; } } - -@media screen and (min-width: 1408px) { - .is-inline-block-fullhd { - display: inline-block !important; } } - -.is-inline-flex { - display: inline-flex !important; } - -@media screen and (max-width: 768px) { - .is-inline-flex-mobile { - display: inline-flex !important; } } - -@media screen and (min-width: 769px), print { - .is-inline-flex-tablet { - display: inline-flex !important; } } - -@media screen and (min-width: 769px) and (max-width: 1055px) { - .is-inline-flex-tablet-only { - display: inline-flex !important; } } - -@media screen and (max-width: 1055px) { - .is-inline-flex-touch { - display: inline-flex !important; } } - -@media screen and (min-width: 1056px) { - .is-inline-flex-desktop { - display: inline-flex !important; } } - -@media screen and (min-width: 1056px) and (max-width: 1215px) { - .is-inline-flex-desktop-only { - display: inline-flex !important; } } - -@media screen and (min-width: 1216px) { - .is-inline-flex-widescreen { - display: inline-flex !important; } } - -@media screen and (min-width: 1216px) and (max-width: 1407px) { - .is-inline-flex-widescreen-only { - display: inline-flex !important; } } - -@media screen and (min-width: 1408px) { - .is-inline-flex-fullhd { - display: inline-flex !important; } } - -.is-hidden { - display: none !important; } - -.is-sr-only { - border: none !important; - clip: rect(0, 0, 0, 0) !important; - height: 0.01em !important; - overflow: hidden !important; - padding: 0 !important; - position: absolute !important; - white-space: nowrap !important; - width: 0.01em !important; } - -@media screen and (max-width: 768px) { - .is-hidden-mobile { - display: none !important; } } - -@media screen and (min-width: 769px), print { - .is-hidden-tablet { - display: none !important; } } - -@media screen and (min-width: 769px) and (max-width: 1055px) { - .is-hidden-tablet-only { - display: none !important; } } - -@media screen and (max-width: 1055px) { - .is-hidden-touch { - display: none !important; } } - -@media screen and (min-width: 1056px) { - .is-hidden-desktop { - display: none !important; } } - -@media screen and (min-width: 1056px) and (max-width: 1215px) { - .is-hidden-desktop-only { - display: none !important; } } - -@media screen and (min-width: 1216px) { - .is-hidden-widescreen { - display: none !important; } } - -@media screen and (min-width: 1216px) and (max-width: 1407px) { - .is-hidden-widescreen-only { - display: none !important; } } - -@media screen and (min-width: 1408px) { - .is-hidden-fullhd { - display: none !important; } } - -.is-invisible { - visibility: hidden !important; } - -@media screen and (max-width: 768px) { - .is-invisible-mobile { - visibility: hidden !important; } } - -@media screen and (min-width: 769px), print { - .is-invisible-tablet { - visibility: hidden !important; } } - -@media screen and (min-width: 769px) and (max-width: 1055px) { - .is-invisible-tablet-only { - visibility: hidden !important; } } - -@media screen and (max-width: 1055px) { - .is-invisible-touch { - visibility: hidden !important; } } - -@media screen and (min-width: 1056px) { - .is-invisible-desktop { - visibility: hidden !important; } } - -@media screen and (min-width: 1056px) and (max-width: 1215px) { - .is-invisible-desktop-only { - visibility: hidden !important; } } - -@media screen and (min-width: 1216px) { - .is-invisible-widescreen { - visibility: hidden !important; } } - -@media screen and (min-width: 1216px) and (max-width: 1407px) { - .is-invisible-widescreen-only { - visibility: hidden !important; } } - -@media screen and (min-width: 1408px) { - .is-invisible-fullhd { - visibility: hidden !important; } } - -.is-marginless { - margin: 0 !important; } - -.is-paddingless { - padding: 0 !important; } - -.is-radiusless { - border-radius: 0 !important; } - -.is-shadowless { - box-shadow: none !important; } - -.is-relative { - position: relative !important; } - -.box { - background-color: white; - border-radius: 6px; - box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); - color: #222222; - display: block; - padding: 1.25rem; } - -a.box:hover, a.box:focus { - box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #2e63b8; } - -a.box:active { - box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #2e63b8; } - -.button { - background-color: white; - border-color: #dbdbdb; - border-width: 1px; - color: #363636; - cursor: pointer; - justify-content: center; - padding-bottom: calc(0.375em - 1px); - padding-left: 0.75em; - padding-right: 0.75em; - padding-top: calc(0.375em - 1px); - text-align: center; - white-space: nowrap; } - .button strong { - color: inherit; } - .button .icon, .button .icon.is-small, .button #documenter .docs-sidebar form.docs-search > input.icon, #documenter .docs-sidebar .button form.docs-search > input.icon, .button .icon.is-medium, .button .icon.is-large { - height: 1.5em; - width: 1.5em; } - .button .icon:first-child:not(:last-child) { - margin-left: calc(-0.375em - 1px); - margin-right: 0.1875em; } - .button .icon:last-child:not(:first-child) { - margin-left: 0.1875em; - margin-right: calc(-0.375em - 1px); } - .button .icon:first-child:last-child { - margin-left: calc(-0.375em - 1px); - margin-right: calc(-0.375em - 1px); } - .button:hover, .button.is-hovered { - border-color: #b5b5b5; - color: #363636; } - .button:focus, .button.is-focused { - border-color: #3c5dcd; - color: #363636; } - .button:focus:not(:active), .button.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } - .button:active, .button.is-active { - border-color: #4a4a4a; - color: #363636; } - .button.is-text { - background-color: transparent; - border-color: transparent; - color: #222222; - text-decoration: underline; } - .button.is-text:hover, .button.is-text.is-hovered, .button.is-text:focus, .button.is-text.is-focused { - background-color: whitesmoke; - color: #222222; } - .button.is-text:active, .button.is-text.is-active { - background-color: #e8e8e8; - color: #222222; } - .button.is-text[disabled], fieldset[disabled] .button.is-text { - background-color: transparent; - border-color: transparent; - box-shadow: none; } - .button.is-white { - background-color: white; - border-color: transparent; - color: #0a0a0a; } - .button.is-white:hover, .button.is-white.is-hovered { - background-color: #f9f9f9; - border-color: transparent; - color: #0a0a0a; } - .button.is-white:focus, .button.is-white.is-focused { - border-color: transparent; - color: #0a0a0a; } - .button.is-white:focus:not(:active), .button.is-white.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } - .button.is-white:active, .button.is-white.is-active { - background-color: #f2f2f2; - border-color: transparent; - color: #0a0a0a; } - .button.is-white[disabled], fieldset[disabled] .button.is-white { - background-color: white; - border-color: transparent; - box-shadow: none; } - .button.is-white.is-inverted { - background-color: #0a0a0a; - color: white; } - .button.is-white.is-inverted:hover, .button.is-white.is-inverted.is-hovered { - background-color: black; } - .button.is-white.is-inverted[disabled], fieldset[disabled] .button.is-white.is-inverted { - background-color: #0a0a0a; - border-color: transparent; - box-shadow: none; - color: white; } - .button.is-white.is-loading::after { - border-color: transparent transparent #0a0a0a #0a0a0a !important; } - .button.is-white.is-outlined { - background-color: transparent; - border-color: white; - color: white; } - .button.is-white.is-outlined:hover, .button.is-white.is-outlined.is-hovered, .button.is-white.is-outlined:focus, .button.is-white.is-outlined.is-focused { - background-color: white; - border-color: white; - color: #0a0a0a; } - .button.is-white.is-outlined.is-loading::after { - border-color: transparent transparent white white !important; } - .button.is-white.is-outlined.is-loading:hover::after, .button.is-white.is-outlined.is-loading.is-hovered::after, .button.is-white.is-outlined.is-loading:focus::after, .button.is-white.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #0a0a0a #0a0a0a !important; } - .button.is-white.is-outlined[disabled], fieldset[disabled] .button.is-white.is-outlined { - background-color: transparent; - border-color: white; - box-shadow: none; - color: white; } - .button.is-white.is-inverted.is-outlined { - background-color: transparent; - border-color: #0a0a0a; - color: #0a0a0a; } - .button.is-white.is-inverted.is-outlined:hover, .button.is-white.is-inverted.is-outlined.is-hovered, .button.is-white.is-inverted.is-outlined:focus, .button.is-white.is-inverted.is-outlined.is-focused { - background-color: #0a0a0a; - color: white; } - .button.is-white.is-inverted.is-outlined.is-loading:hover::after, .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-white.is-inverted.is-outlined.is-loading:focus::after, .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent white white !important; } - .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-white.is-inverted.is-outlined { - background-color: transparent; - border-color: #0a0a0a; - box-shadow: none; - color: #0a0a0a; } - .button.is-black { - background-color: #0a0a0a; - border-color: transparent; - color: white; } - .button.is-black:hover, .button.is-black.is-hovered { - background-color: #040404; - border-color: transparent; - color: white; } - .button.is-black:focus, .button.is-black.is-focused { - border-color: transparent; - color: white; } - .button.is-black:focus:not(:active), .button.is-black.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } - .button.is-black:active, .button.is-black.is-active { - background-color: black; - border-color: transparent; - color: white; } - .button.is-black[disabled], fieldset[disabled] .button.is-black { - background-color: #0a0a0a; - border-color: transparent; - box-shadow: none; } - .button.is-black.is-inverted { - background-color: white; - color: #0a0a0a; } - .button.is-black.is-inverted:hover, .button.is-black.is-inverted.is-hovered { - background-color: #f2f2f2; } - .button.is-black.is-inverted[disabled], fieldset[disabled] .button.is-black.is-inverted { - background-color: white; - border-color: transparent; - box-shadow: none; - color: #0a0a0a; } - .button.is-black.is-loading::after { - border-color: transparent transparent white white !important; } - .button.is-black.is-outlined { - background-color: transparent; - border-color: #0a0a0a; - color: #0a0a0a; } - .button.is-black.is-outlined:hover, .button.is-black.is-outlined.is-hovered, .button.is-black.is-outlined:focus, .button.is-black.is-outlined.is-focused { - background-color: #0a0a0a; - border-color: #0a0a0a; - color: white; } - .button.is-black.is-outlined.is-loading::after { - border-color: transparent transparent #0a0a0a #0a0a0a !important; } - .button.is-black.is-outlined.is-loading:hover::after, .button.is-black.is-outlined.is-loading.is-hovered::after, .button.is-black.is-outlined.is-loading:focus::after, .button.is-black.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent white white !important; } - .button.is-black.is-outlined[disabled], fieldset[disabled] .button.is-black.is-outlined { - background-color: transparent; - border-color: #0a0a0a; - box-shadow: none; - color: #0a0a0a; } - .button.is-black.is-inverted.is-outlined { - background-color: transparent; - border-color: white; - color: white; } - .button.is-black.is-inverted.is-outlined:hover, .button.is-black.is-inverted.is-outlined.is-hovered, .button.is-black.is-inverted.is-outlined:focus, .button.is-black.is-inverted.is-outlined.is-focused { - background-color: white; - color: #0a0a0a; } - .button.is-black.is-inverted.is-outlined.is-loading:hover::after, .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-black.is-inverted.is-outlined.is-loading:focus::after, .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #0a0a0a #0a0a0a !important; } - .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-black.is-inverted.is-outlined { - background-color: transparent; - border-color: white; - box-shadow: none; - color: white; } - .button.is-light { - background-color: whitesmoke; - border-color: transparent; - color: #363636; } - .button.is-light:hover, .button.is-light.is-hovered { - background-color: #eeeeee; - border-color: transparent; - color: #363636; } - .button.is-light:focus, .button.is-light.is-focused { - border-color: transparent; - color: #363636; } - .button.is-light:focus:not(:active), .button.is-light.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); } - .button.is-light:active, .button.is-light.is-active { - background-color: #e8e8e8; - border-color: transparent; - color: #363636; } - .button.is-light[disabled], fieldset[disabled] .button.is-light { - background-color: whitesmoke; - border-color: transparent; - box-shadow: none; } - .button.is-light.is-inverted { - background-color: #363636; - color: whitesmoke; } - .button.is-light.is-inverted:hover, .button.is-light.is-inverted.is-hovered { - background-color: #292929; } - .button.is-light.is-inverted[disabled], fieldset[disabled] .button.is-light.is-inverted { - background-color: #363636; - border-color: transparent; - box-shadow: none; - color: whitesmoke; } - .button.is-light.is-loading::after { - border-color: transparent transparent #363636 #363636 !important; } - .button.is-light.is-outlined { - background-color: transparent; - border-color: whitesmoke; - color: whitesmoke; } - .button.is-light.is-outlined:hover, .button.is-light.is-outlined.is-hovered, .button.is-light.is-outlined:focus, .button.is-light.is-outlined.is-focused { - background-color: whitesmoke; - border-color: whitesmoke; - color: #363636; } - .button.is-light.is-outlined.is-loading::after { - border-color: transparent transparent whitesmoke whitesmoke !important; } - .button.is-light.is-outlined.is-loading:hover::after, .button.is-light.is-outlined.is-loading.is-hovered::after, .button.is-light.is-outlined.is-loading:focus::after, .button.is-light.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #363636 #363636 !important; } - .button.is-light.is-outlined[disabled], fieldset[disabled] .button.is-light.is-outlined { - background-color: transparent; - border-color: whitesmoke; - box-shadow: none; - color: whitesmoke; } - .button.is-light.is-inverted.is-outlined { - background-color: transparent; - border-color: #363636; - color: #363636; } - .button.is-light.is-inverted.is-outlined:hover, .button.is-light.is-inverted.is-outlined.is-hovered, .button.is-light.is-inverted.is-outlined:focus, .button.is-light.is-inverted.is-outlined.is-focused { - background-color: #363636; - color: whitesmoke; } - .button.is-light.is-inverted.is-outlined.is-loading:hover::after, .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-light.is-inverted.is-outlined.is-loading:focus::after, .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent whitesmoke whitesmoke !important; } - .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-light.is-inverted.is-outlined { - background-color: transparent; - border-color: #363636; - box-shadow: none; - color: #363636; } - .button.is-dark, .content kbd.button { - background-color: #363636; - border-color: transparent; - color: whitesmoke; } - .button.is-dark:hover, .content kbd.button:hover, .button.is-dark.is-hovered, .content kbd.button.is-hovered { - background-color: #2f2f2f; - border-color: transparent; - color: whitesmoke; } - .button.is-dark:focus, .content kbd.button:focus, .button.is-dark.is-focused, .content kbd.button.is-focused { - border-color: transparent; - color: whitesmoke; } - .button.is-dark:focus:not(:active), .content kbd.button:focus:not(:active), .button.is-dark.is-focused:not(:active), .content kbd.button.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); } - .button.is-dark:active, .content kbd.button:active, .button.is-dark.is-active, .content kbd.button.is-active { - background-color: #292929; - border-color: transparent; - color: whitesmoke; } - .button.is-dark[disabled], .content kbd.button[disabled], fieldset[disabled] .button.is-dark, fieldset[disabled] .content kbd.button, .content fieldset[disabled] kbd.button { - background-color: #363636; - border-color: transparent; - box-shadow: none; } - .button.is-dark.is-inverted, .content kbd.button.is-inverted { - background-color: whitesmoke; - color: #363636; } - .button.is-dark.is-inverted:hover, .content kbd.button.is-inverted:hover, .button.is-dark.is-inverted.is-hovered, .content kbd.button.is-inverted.is-hovered { - background-color: #e8e8e8; } - .button.is-dark.is-inverted[disabled], .content kbd.button.is-inverted[disabled], fieldset[disabled] .button.is-dark.is-inverted, fieldset[disabled] .content kbd.button.is-inverted, .content fieldset[disabled] kbd.button.is-inverted { - background-color: whitesmoke; - border-color: transparent; - box-shadow: none; - color: #363636; } - .button.is-dark.is-loading::after, .content kbd.button.is-loading::after { - border-color: transparent transparent whitesmoke whitesmoke !important; } - .button.is-dark.is-outlined, .content kbd.button.is-outlined { - background-color: transparent; - border-color: #363636; - color: #363636; } - .button.is-dark.is-outlined:hover, .content kbd.button.is-outlined:hover, .button.is-dark.is-outlined.is-hovered, .content kbd.button.is-outlined.is-hovered, .button.is-dark.is-outlined:focus, .content kbd.button.is-outlined:focus, .button.is-dark.is-outlined.is-focused, .content kbd.button.is-outlined.is-focused { - background-color: #363636; - border-color: #363636; - color: whitesmoke; } - .button.is-dark.is-outlined.is-loading::after, .content kbd.button.is-outlined.is-loading::after { - border-color: transparent transparent #363636 #363636 !important; } - .button.is-dark.is-outlined.is-loading:hover::after, .content kbd.button.is-outlined.is-loading:hover::after, .button.is-dark.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-outlined.is-loading:focus::after, .content kbd.button.is-outlined.is-loading:focus::after, .button.is-dark.is-outlined.is-loading.is-focused::after, .content kbd.button.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent whitesmoke whitesmoke !important; } - .button.is-dark.is-outlined[disabled], .content kbd.button.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-outlined, fieldset[disabled] .content kbd.button.is-outlined, .content fieldset[disabled] kbd.button.is-outlined { - background-color: transparent; - border-color: #363636; - box-shadow: none; - color: #363636; } - .button.is-dark.is-inverted.is-outlined, .content kbd.button.is-inverted.is-outlined { - background-color: transparent; - border-color: whitesmoke; - color: whitesmoke; } - .button.is-dark.is-inverted.is-outlined:hover, .content kbd.button.is-inverted.is-outlined:hover, .button.is-dark.is-inverted.is-outlined.is-hovered, .content kbd.button.is-inverted.is-outlined.is-hovered, .button.is-dark.is-inverted.is-outlined:focus, .content kbd.button.is-inverted.is-outlined:focus, .button.is-dark.is-inverted.is-outlined.is-focused, .content kbd.button.is-inverted.is-outlined.is-focused { - background-color: whitesmoke; - color: #363636; } - .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #363636 #363636 !important; } - .button.is-dark.is-inverted.is-outlined[disabled], .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-inverted.is-outlined, fieldset[disabled] .content kbd.button.is-inverted.is-outlined, .content fieldset[disabled] kbd.button.is-inverted.is-outlined { - background-color: transparent; - border-color: whitesmoke; - box-shadow: none; - color: whitesmoke; } - .button.is-primary, .docstring > section > a.button.docs-sourcelink { - background-color: #4eb5de; - border-color: transparent; - color: #fff; } - .button.is-primary:hover, .docstring > section > a.button.docs-sourcelink:hover, .button.is-primary.is-hovered, .docstring > section > a.button.is-hovered.docs-sourcelink { - background-color: #43b1dc; - border-color: transparent; - color: #fff; } - .button.is-primary:focus, .docstring > section > a.button.docs-sourcelink:focus, .button.is-primary.is-focused, .docstring > section > a.button.is-focused.docs-sourcelink { - border-color: transparent; - color: #fff; } - .button.is-primary:focus:not(:active), .docstring > section > a.button.docs-sourcelink:focus:not(:active), .button.is-primary.is-focused:not(:active), .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) { - box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); } - .button.is-primary:active, .docstring > section > a.button.docs-sourcelink:active, .button.is-primary.is-active, .docstring > section > a.button.is-active.docs-sourcelink { - background-color: #39acda; - border-color: transparent; - color: #fff; } - .button.is-primary[disabled], .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary, fieldset[disabled] .docstring > section > a.button.docs-sourcelink { - background-color: #4eb5de; - border-color: transparent; - box-shadow: none; } - .button.is-primary.is-inverted, .docstring > section > a.button.is-inverted.docs-sourcelink { - background-color: #fff; - color: #4eb5de; } - .button.is-primary.is-inverted:hover, .docstring > section > a.button.is-inverted.docs-sourcelink:hover, .button.is-primary.is-inverted.is-hovered, .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink { - background-color: #f2f2f2; } - .button.is-primary.is-inverted[disabled], .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted, fieldset[disabled] .docstring > section > a.button.is-inverted.docs-sourcelink { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #4eb5de; } - .button.is-primary.is-loading::after, .docstring > section > a.button.is-loading.docs-sourcelink::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-primary.is-outlined, .docstring > section > a.button.is-outlined.docs-sourcelink { - background-color: transparent; - border-color: #4eb5de; - color: #4eb5de; } - .button.is-primary.is-outlined:hover, .docstring > section > a.button.is-outlined.docs-sourcelink:hover, .button.is-primary.is-outlined.is-hovered, .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-outlined:focus, .docstring > section > a.button.is-outlined.docs-sourcelink:focus, .button.is-primary.is-outlined.is-focused, .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink { - background-color: #4eb5de; - border-color: #4eb5de; - color: #fff; } - .button.is-primary.is-outlined.is-loading::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after { - border-color: transparent transparent #4eb5de #4eb5de !important; } - .button.is-primary.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-primary.is-outlined[disabled], .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-outlined, fieldset[disabled] .docstring > section > a.button.is-outlined.docs-sourcelink { - background-color: transparent; - border-color: #4eb5de; - box-shadow: none; - color: #4eb5de; } - .button.is-primary.is-inverted.is-outlined, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink { - background-color: transparent; - border-color: #fff; - color: #fff; } - .button.is-primary.is-inverted.is-outlined:hover, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, .button.is-primary.is-inverted.is-outlined.is-hovered, .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-inverted.is-outlined:focus, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, .button.is-primary.is-inverted.is-outlined.is-focused, .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink { - background-color: #fff; - color: #4eb5de; } - .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after { - border-color: transparent transparent #4eb5de #4eb5de !important; } - .button.is-primary.is-inverted.is-outlined[disabled], .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted.is-outlined, fieldset[disabled] .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - .button.is-link { - background-color: #2e63b8; - border-color: transparent; - color: #fff; } - .button.is-link:hover, .button.is-link.is-hovered { - background-color: #2b5eae; - border-color: transparent; - color: #fff; } - .button.is-link:focus, .button.is-link.is-focused { - border-color: transparent; - color: #fff; } - .button.is-link:focus:not(:active), .button.is-link.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } - .button.is-link:active, .button.is-link.is-active { - background-color: #2958a4; - border-color: transparent; - color: #fff; } - .button.is-link[disabled], fieldset[disabled] .button.is-link { - background-color: #2e63b8; - border-color: transparent; - box-shadow: none; } - .button.is-link.is-inverted { - background-color: #fff; - color: #2e63b8; } - .button.is-link.is-inverted:hover, .button.is-link.is-inverted.is-hovered { - background-color: #f2f2f2; } - .button.is-link.is-inverted[disabled], fieldset[disabled] .button.is-link.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #2e63b8; } - .button.is-link.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-link.is-outlined { - background-color: transparent; - border-color: #2e63b8; - color: #2e63b8; } - .button.is-link.is-outlined:hover, .button.is-link.is-outlined.is-hovered, .button.is-link.is-outlined:focus, .button.is-link.is-outlined.is-focused { - background-color: #2e63b8; - border-color: #2e63b8; - color: #fff; } - .button.is-link.is-outlined.is-loading::after { - border-color: transparent transparent #2e63b8 #2e63b8 !important; } - .button.is-link.is-outlined.is-loading:hover::after, .button.is-link.is-outlined.is-loading.is-hovered::after, .button.is-link.is-outlined.is-loading:focus::after, .button.is-link.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-link.is-outlined[disabled], fieldset[disabled] .button.is-link.is-outlined { - background-color: transparent; - border-color: #2e63b8; - box-shadow: none; - color: #2e63b8; } - .button.is-link.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - .button.is-link.is-inverted.is-outlined:hover, .button.is-link.is-inverted.is-outlined.is-hovered, .button.is-link.is-inverted.is-outlined:focus, .button.is-link.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #2e63b8; } - .button.is-link.is-inverted.is-outlined.is-loading:hover::after, .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-link.is-inverted.is-outlined.is-loading:focus::after, .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #2e63b8 #2e63b8 !important; } - .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-link.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - .button.is-info { - background-color: #209cee; - border-color: transparent; - color: #fff; } - .button.is-info:hover, .button.is-info.is-hovered { - background-color: #1497ed; - border-color: transparent; - color: #fff; } - .button.is-info:focus, .button.is-info.is-focused { - border-color: transparent; - color: #fff; } - .button.is-info:focus:not(:active), .button.is-info.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); } - .button.is-info:active, .button.is-info.is-active { - background-color: #1190e3; - border-color: transparent; - color: #fff; } - .button.is-info[disabled], fieldset[disabled] .button.is-info { - background-color: #209cee; - border-color: transparent; - box-shadow: none; } - .button.is-info.is-inverted { - background-color: #fff; - color: #209cee; } - .button.is-info.is-inverted:hover, .button.is-info.is-inverted.is-hovered { - background-color: #f2f2f2; } - .button.is-info.is-inverted[disabled], fieldset[disabled] .button.is-info.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #209cee; } - .button.is-info.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-info.is-outlined { - background-color: transparent; - border-color: #209cee; - color: #209cee; } - .button.is-info.is-outlined:hover, .button.is-info.is-outlined.is-hovered, .button.is-info.is-outlined:focus, .button.is-info.is-outlined.is-focused { - background-color: #209cee; - border-color: #209cee; - color: #fff; } - .button.is-info.is-outlined.is-loading::after { - border-color: transparent transparent #209cee #209cee !important; } - .button.is-info.is-outlined.is-loading:hover::after, .button.is-info.is-outlined.is-loading.is-hovered::after, .button.is-info.is-outlined.is-loading:focus::after, .button.is-info.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-info.is-outlined[disabled], fieldset[disabled] .button.is-info.is-outlined { - background-color: transparent; - border-color: #209cee; - box-shadow: none; - color: #209cee; } - .button.is-info.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - .button.is-info.is-inverted.is-outlined:hover, .button.is-info.is-inverted.is-outlined.is-hovered, .button.is-info.is-inverted.is-outlined:focus, .button.is-info.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #209cee; } - .button.is-info.is-inverted.is-outlined.is-loading:hover::after, .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-info.is-inverted.is-outlined.is-loading:focus::after, .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #209cee #209cee !important; } - .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-info.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - .button.is-success { - background-color: #22c35b; - border-color: transparent; - color: #fff; } - .button.is-success:hover, .button.is-success.is-hovered { - background-color: #20b856; - border-color: transparent; - color: #fff; } - .button.is-success:focus, .button.is-success.is-focused { - border-color: transparent; - color: #fff; } - .button.is-success:focus:not(:active), .button.is-success.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); } - .button.is-success:active, .button.is-success.is-active { - background-color: #1ead51; - border-color: transparent; - color: #fff; } - .button.is-success[disabled], fieldset[disabled] .button.is-success { - background-color: #22c35b; - border-color: transparent; - box-shadow: none; } - .button.is-success.is-inverted { - background-color: #fff; - color: #22c35b; } - .button.is-success.is-inverted:hover, .button.is-success.is-inverted.is-hovered { - background-color: #f2f2f2; } - .button.is-success.is-inverted[disabled], fieldset[disabled] .button.is-success.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #22c35b; } - .button.is-success.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-success.is-outlined { - background-color: transparent; - border-color: #22c35b; - color: #22c35b; } - .button.is-success.is-outlined:hover, .button.is-success.is-outlined.is-hovered, .button.is-success.is-outlined:focus, .button.is-success.is-outlined.is-focused { - background-color: #22c35b; - border-color: #22c35b; - color: #fff; } - .button.is-success.is-outlined.is-loading::after { - border-color: transparent transparent #22c35b #22c35b !important; } - .button.is-success.is-outlined.is-loading:hover::after, .button.is-success.is-outlined.is-loading.is-hovered::after, .button.is-success.is-outlined.is-loading:focus::after, .button.is-success.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-success.is-outlined[disabled], fieldset[disabled] .button.is-success.is-outlined { - background-color: transparent; - border-color: #22c35b; - box-shadow: none; - color: #22c35b; } - .button.is-success.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - .button.is-success.is-inverted.is-outlined:hover, .button.is-success.is-inverted.is-outlined.is-hovered, .button.is-success.is-inverted.is-outlined:focus, .button.is-success.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #22c35b; } - .button.is-success.is-inverted.is-outlined.is-loading:hover::after, .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-success.is-inverted.is-outlined.is-loading:focus::after, .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #22c35b #22c35b !important; } - .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-success.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - .button.is-warning { - background-color: #ffdd57; - border-color: transparent; - color: rgba(0, 0, 0, 0.7); } - .button.is-warning:hover, .button.is-warning.is-hovered { - background-color: #ffda4a; - border-color: transparent; - color: rgba(0, 0, 0, 0.7); } - .button.is-warning:focus, .button.is-warning.is-focused { - border-color: transparent; - color: rgba(0, 0, 0, 0.7); } - .button.is-warning:focus:not(:active), .button.is-warning.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); } - .button.is-warning:active, .button.is-warning.is-active { - background-color: #ffd83e; - border-color: transparent; - color: rgba(0, 0, 0, 0.7); } - .button.is-warning[disabled], fieldset[disabled] .button.is-warning { - background-color: #ffdd57; - border-color: transparent; - box-shadow: none; } - .button.is-warning.is-inverted { - background-color: rgba(0, 0, 0, 0.7); - color: #ffdd57; } - .button.is-warning.is-inverted:hover, .button.is-warning.is-inverted.is-hovered { - background-color: rgba(0, 0, 0, 0.7); } - .button.is-warning.is-inverted[disabled], fieldset[disabled] .button.is-warning.is-inverted { - background-color: rgba(0, 0, 0, 0.7); - border-color: transparent; - box-shadow: none; - color: #ffdd57; } - .button.is-warning.is-loading::after { - border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; } - .button.is-warning.is-outlined { - background-color: transparent; - border-color: #ffdd57; - color: #ffdd57; } - .button.is-warning.is-outlined:hover, .button.is-warning.is-outlined.is-hovered, .button.is-warning.is-outlined:focus, .button.is-warning.is-outlined.is-focused { - background-color: #ffdd57; - border-color: #ffdd57; - color: rgba(0, 0, 0, 0.7); } - .button.is-warning.is-outlined.is-loading::after { - border-color: transparent transparent #ffdd57 #ffdd57 !important; } - .button.is-warning.is-outlined.is-loading:hover::after, .button.is-warning.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-outlined.is-loading:focus::after, .button.is-warning.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; } - .button.is-warning.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-outlined { - background-color: transparent; - border-color: #ffdd57; - box-shadow: none; - color: #ffdd57; } - .button.is-warning.is-inverted.is-outlined { - background-color: transparent; - border-color: rgba(0, 0, 0, 0.7); - color: rgba(0, 0, 0, 0.7); } - .button.is-warning.is-inverted.is-outlined:hover, .button.is-warning.is-inverted.is-outlined.is-hovered, .button.is-warning.is-inverted.is-outlined:focus, .button.is-warning.is-inverted.is-outlined.is-focused { - background-color: rgba(0, 0, 0, 0.7); - color: #ffdd57; } - .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #ffdd57 #ffdd57 !important; } - .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-inverted.is-outlined { - background-color: transparent; - border-color: rgba(0, 0, 0, 0.7); - box-shadow: none; - color: rgba(0, 0, 0, 0.7); } - .button.is-danger { - background-color: #da0b00; - border-color: transparent; - color: #fff; } - .button.is-danger:hover, .button.is-danger.is-hovered { - background-color: #cd0a00; - border-color: transparent; - color: #fff; } - .button.is-danger:focus, .button.is-danger.is-focused { - border-color: transparent; - color: #fff; } - .button.is-danger:focus:not(:active), .button.is-danger.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); } - .button.is-danger:active, .button.is-danger.is-active { - background-color: #c10a00; - border-color: transparent; - color: #fff; } - .button.is-danger[disabled], fieldset[disabled] .button.is-danger { - background-color: #da0b00; - border-color: transparent; - box-shadow: none; } - .button.is-danger.is-inverted { - background-color: #fff; - color: #da0b00; } - .button.is-danger.is-inverted:hover, .button.is-danger.is-inverted.is-hovered { - background-color: #f2f2f2; } - .button.is-danger.is-inverted[disabled], fieldset[disabled] .button.is-danger.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #da0b00; } - .button.is-danger.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-danger.is-outlined { - background-color: transparent; - border-color: #da0b00; - color: #da0b00; } - .button.is-danger.is-outlined:hover, .button.is-danger.is-outlined.is-hovered, .button.is-danger.is-outlined:focus, .button.is-danger.is-outlined.is-focused { - background-color: #da0b00; - border-color: #da0b00; - color: #fff; } - .button.is-danger.is-outlined.is-loading::after { - border-color: transparent transparent #da0b00 #da0b00 !important; } - .button.is-danger.is-outlined.is-loading:hover::after, .button.is-danger.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-outlined.is-loading:focus::after, .button.is-danger.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-danger.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-outlined { - background-color: transparent; - border-color: #da0b00; - box-shadow: none; - color: #da0b00; } - .button.is-danger.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - .button.is-danger.is-inverted.is-outlined:hover, .button.is-danger.is-inverted.is-outlined.is-hovered, .button.is-danger.is-inverted.is-outlined:focus, .button.is-danger.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #da0b00; } - .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #da0b00 #da0b00 !important; } - .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - .button.is-small, #documenter .docs-sidebar form.docs-search > input.button { - border-radius: 2px; - font-size: 0.75rem; } - .button.is-normal { - font-size: 1rem; } - .button.is-medium { - font-size: 1.25rem; } - .button.is-large { - font-size: 1.5rem; } - .button[disabled], fieldset[disabled] .button { - background-color: white; - border-color: #dbdbdb; - box-shadow: none; - opacity: 0.5; } - .button.is-fullwidth { - display: flex; - width: 100%; } - .button.is-loading { - color: transparent !important; - pointer-events: none; } - .button.is-loading::after { - position: absolute; - left: calc(50% - (1em / 2)); - top: calc(50% - (1em / 2)); - position: absolute !important; } - .button.is-static { - background-color: whitesmoke; - border-color: #dbdbdb; - color: #6b6b6b; - box-shadow: none; - pointer-events: none; } - .button.is-rounded, #documenter .docs-sidebar form.docs-search > input.button { - border-radius: 290486px; - padding-left: 1em; - padding-right: 1em; } - -.buttons { - align-items: center; - display: flex; - flex-wrap: wrap; - justify-content: flex-start; } - .buttons .button { - margin-bottom: 0.5rem; } - .buttons .button:not(:last-child):not(.is-fullwidth) { - margin-right: 0.5rem; } - .buttons:last-child { - margin-bottom: -0.5rem; } - .buttons:not(:last-child) { - margin-bottom: 1rem; } - .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) { - border-radius: 2px; - font-size: 0.75rem; } - .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) { - font-size: 1.25rem; } - .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) { - font-size: 1.5rem; } - .buttons.has-addons .button:not(:first-child) { - border-bottom-left-radius: 0; - border-top-left-radius: 0; } - .buttons.has-addons .button:not(:last-child) { - border-bottom-right-radius: 0; - border-top-right-radius: 0; - margin-right: -1px; } - .buttons.has-addons .button:last-child { - margin-right: 0; } - .buttons.has-addons .button:hover, .buttons.has-addons .button.is-hovered { - z-index: 2; } - .buttons.has-addons .button:focus, .buttons.has-addons .button.is-focused, .buttons.has-addons .button:active, .buttons.has-addons .button.is-active, .buttons.has-addons .button.is-selected { - z-index: 3; } - .buttons.has-addons .button:focus:hover, .buttons.has-addons .button.is-focused:hover, .buttons.has-addons .button:active:hover, .buttons.has-addons .button.is-active:hover, .buttons.has-addons .button.is-selected:hover { - z-index: 4; } - .buttons.has-addons .button.is-expanded { - flex-grow: 1; - flex-shrink: 1; } - .buttons.is-centered { - justify-content: center; } - .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) { - margin-left: 0.25rem; - margin-right: 0.25rem; } - .buttons.is-right { - justify-content: flex-end; } - .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) { - margin-left: 0.25rem; - margin-right: 0.25rem; } - -.container { - flex-grow: 1; - margin: 0 auto; - position: relative; - width: auto; } - @media screen and (min-width: 1056px) { - .container { - max-width: 992px; } - .container.is-fluid { - margin-left: 32px; - margin-right: 32px; - max-width: none; } } - @media screen and (max-width: 1215px) { - .container.is-widescreen { - max-width: 1152px; } } - @media screen and (max-width: 1407px) { - .container.is-fullhd { - max-width: 1344px; } } - @media screen and (min-width: 1216px) { - .container { - max-width: 1152px; } } - @media screen and (min-width: 1408px) { - .container { - max-width: 1344px; } } -.content li + li { - margin-top: 0.25em; } - -.content p:not(:last-child), -.content dl:not(:last-child), -.content ol:not(:last-child), -.content ul:not(:last-child), -.content blockquote:not(:last-child), -.content pre:not(:last-child), -.content table:not(:last-child) { - margin-bottom: 1em; } - -.content h1, -.content h2, -.content h3, -.content h4, -.content h5, -.content h6 { - color: #222222; - font-weight: 600; - line-height: 1.125; } - -.content h1 { - font-size: 2em; - margin-bottom: 0.5em; } - .content h1:not(:first-child) { - margin-top: 1em; } - -.content h2 { - font-size: 1.75em; - margin-bottom: 0.5714em; } - .content h2:not(:first-child) { - margin-top: 1.1428em; } - -.content h3 { - font-size: 1.5em; - margin-bottom: 0.6666em; } - .content h3:not(:first-child) { - margin-top: 1.3333em; } - -.content h4 { - font-size: 1.25em; - margin-bottom: 0.8em; } - -.content h5 { - font-size: 1.125em; - margin-bottom: 0.8888em; } - -.content h6 { - font-size: 1em; - margin-bottom: 1em; } - -.content blockquote { - background-color: whitesmoke; - border-left: 5px solid #dbdbdb; - padding: 1.25em 1.5em; } - -.content ol { - list-style-position: outside; - margin-left: 2em; - margin-top: 1em; } - .content ol:not([type]) { - list-style-type: decimal; } - .content ol.is-lower-alpha:not([type]) { - list-style-type: lower-alpha; } - .content ol.is-lower-roman:not([type]) { - list-style-type: lower-roman; } - .content ol.is-upper-alpha:not([type]) { - list-style-type: upper-alpha; } - .content ol.is-upper-roman:not([type]) { - list-style-type: upper-roman; } - -.content ul { - list-style: disc outside; - margin-left: 2em; - margin-top: 1em; } - .content ul ul { - list-style-type: circle; - margin-top: 0.5em; } - .content ul ul ul { - list-style-type: square; } - -.content dd { - margin-left: 2em; } - -.content figure { - margin-left: 2em; - margin-right: 2em; - text-align: center; } - .content figure:not(:first-child) { - margin-top: 2em; } - .content figure:not(:last-child) { - margin-bottom: 2em; } - .content figure img { - display: inline-block; } - .content figure figcaption { - font-style: italic; } - -.content pre { - -webkit-overflow-scrolling: touch; - overflow-x: auto; - padding: 0; - white-space: pre; - word-wrap: normal; } - -.content sup, -.content sub { - font-size: 75%; } - -.content table { - width: 100%; } - .content table td, - .content table th { - border: 1px solid #dbdbdb; - border-width: 0 0 1px; - padding: 0.5em 0.75em; - vertical-align: top; } - .content table th { - color: #222222; } - .content table th:not([align]) { - text-align: left; } - .content table thead td, - .content table thead th { - border-width: 0 0 2px; - color: #222222; } - .content table tfoot td, - .content table tfoot th { - border-width: 2px 0 0; - color: #222222; } - .content table tbody tr:last-child td, - .content table tbody tr:last-child th { - border-bottom-width: 0; } - -.content .tabs li + li { - margin-top: 0; } - -.content.is-small, #documenter .docs-sidebar form.docs-search > input.content { - font-size: 0.75rem; } - -.content.is-medium { - font-size: 1.25rem; } - -.content.is-large { - font-size: 1.5rem; } - -.icon { - align-items: center; - display: inline-flex; - justify-content: center; - height: 1.5rem; - width: 1.5rem; } - .icon.is-small, #documenter .docs-sidebar form.docs-search > input.icon { - height: 1rem; - width: 1rem; } - .icon.is-medium { - height: 2rem; - width: 2rem; } - .icon.is-large { - height: 3rem; - width: 3rem; } - -.image, #documenter .docs-sidebar .docs-logo > img { - display: block; - position: relative; } - .image img, #documenter .docs-sidebar .docs-logo > img img { - display: block; - height: auto; - width: 100%; } - .image img.is-rounded, #documenter .docs-sidebar .docs-logo > img img.is-rounded { - border-radius: 290486px; } - .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img, - .image.is-square .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img, - .image.is-1by1 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img, - .image.is-5by4 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img, - .image.is-4by3 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img, - .image.is-3by2 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img, - .image.is-5by3 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img, - .image.is-16by9 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img, - .image.is-2by1 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img, - .image.is-3by1 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img, - .image.is-4by5 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img, - .image.is-3by4 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img, - .image.is-2by3 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img, - .image.is-3by5 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img, - .image.is-9by16 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img, - .image.is-1by2 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img, - .image.is-1by3 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio { - height: 100%; - width: 100%; } - .image.is-square, #documenter .docs-sidebar .docs-logo > img.is-square, .image.is-1by1, #documenter .docs-sidebar .docs-logo > img.is-1by1 { - padding-top: 100%; } - .image.is-5by4, #documenter .docs-sidebar .docs-logo > img.is-5by4 { - padding-top: 80%; } - .image.is-4by3, #documenter .docs-sidebar .docs-logo > img.is-4by3 { - padding-top: 75%; } - .image.is-3by2, #documenter .docs-sidebar .docs-logo > img.is-3by2 { - padding-top: 66.6666%; } - .image.is-5by3, #documenter .docs-sidebar .docs-logo > img.is-5by3 { - padding-top: 60%; } - .image.is-16by9, #documenter .docs-sidebar .docs-logo > img.is-16by9 { - padding-top: 56.25%; } - .image.is-2by1, #documenter .docs-sidebar .docs-logo > img.is-2by1 { - padding-top: 50%; } - .image.is-3by1, #documenter .docs-sidebar .docs-logo > img.is-3by1 { - padding-top: 33.3333%; } - .image.is-4by5, #documenter .docs-sidebar .docs-logo > img.is-4by5 { - padding-top: 125%; } - .image.is-3by4, #documenter .docs-sidebar .docs-logo > img.is-3by4 { - padding-top: 133.3333%; } - .image.is-2by3, #documenter .docs-sidebar .docs-logo > img.is-2by3 { - padding-top: 150%; } - .image.is-3by5, #documenter .docs-sidebar .docs-logo > img.is-3by5 { - padding-top: 166.6666%; } - .image.is-9by16, #documenter .docs-sidebar .docs-logo > img.is-9by16 { - padding-top: 177.7777%; } - .image.is-1by2, #documenter .docs-sidebar .docs-logo > img.is-1by2 { - padding-top: 200%; } - .image.is-1by3, #documenter .docs-sidebar .docs-logo > img.is-1by3 { - padding-top: 300%; } - .image.is-16x16, #documenter .docs-sidebar .docs-logo > img.is-16x16 { - height: 16px; - width: 16px; } - .image.is-24x24, #documenter .docs-sidebar .docs-logo > img.is-24x24 { - height: 24px; - width: 24px; } - .image.is-32x32, #documenter .docs-sidebar .docs-logo > img.is-32x32 { - height: 32px; - width: 32px; } - .image.is-48x48, #documenter .docs-sidebar .docs-logo > img.is-48x48 { - height: 48px; - width: 48px; } - .image.is-64x64, #documenter .docs-sidebar .docs-logo > img.is-64x64 { - height: 64px; - width: 64px; } - .image.is-96x96, #documenter .docs-sidebar .docs-logo > img.is-96x96 { - height: 96px; - width: 96px; } - .image.is-128x128, #documenter .docs-sidebar .docs-logo > img.is-128x128 { - height: 128px; - width: 128px; } - -.notification { - background-color: whitesmoke; - border-radius: 4px; - padding: 1.25rem 2.5rem 1.25rem 1.5rem; - position: relative; } - .notification a:not(.button):not(.dropdown-item) { - color: currentColor; - text-decoration: underline; } - .notification strong { - color: currentColor; } - .notification code, - .notification pre { - background: white; } - .notification pre code { - background: transparent; } - .notification > .delete { - position: absolute; - right: 0.5rem; - top: 0.5rem; } - .notification .title, - .notification .subtitle, - .notification .content { - color: currentColor; } - .notification.is-white { - background-color: white; - color: #0a0a0a; } - .notification.is-black { - background-color: #0a0a0a; - color: white; } - .notification.is-light { - background-color: whitesmoke; - color: #363636; } - .notification.is-dark, .content kbd.notification { - background-color: #363636; - color: whitesmoke; } - .notification.is-primary, .docstring > section > a.notification.docs-sourcelink { - background-color: #4eb5de; - color: #fff; } - .notification.is-link { - background-color: #2e63b8; - color: #fff; } - .notification.is-info { - background-color: #209cee; - color: #fff; } - .notification.is-success { - background-color: #22c35b; - color: #fff; } - .notification.is-warning { - background-color: #ffdd57; - color: rgba(0, 0, 0, 0.7); } - .notification.is-danger { - background-color: #da0b00; - color: #fff; } - -.progress { - -moz-appearance: none; - -webkit-appearance: none; - border: none; - border-radius: 290486px; - display: block; - height: 1rem; - overflow: hidden; - padding: 0; - width: 100%; } - .progress::-webkit-progress-bar { - background-color: #dbdbdb; } - .progress::-webkit-progress-value { - background-color: #222222; } - .progress::-moz-progress-bar { - background-color: #222222; } - .progress::-ms-fill { - background-color: #222222; - border: none; } - .progress.is-white::-webkit-progress-value { - background-color: white; } - .progress.is-white::-moz-progress-bar { - background-color: white; } - .progress.is-white::-ms-fill { - background-color: white; } - .progress.is-white:indeterminate { - background-image: linear-gradient(to right, white 30%, #dbdbdb 30%); } - .progress.is-black::-webkit-progress-value { - background-color: #0a0a0a; } - .progress.is-black::-moz-progress-bar { - background-color: #0a0a0a; } - .progress.is-black::-ms-fill { - background-color: #0a0a0a; } - .progress.is-black:indeterminate { - background-image: linear-gradient(to right, #0a0a0a 30%, #dbdbdb 30%); } - .progress.is-light::-webkit-progress-value { - background-color: whitesmoke; } - .progress.is-light::-moz-progress-bar { - background-color: whitesmoke; } - .progress.is-light::-ms-fill { - background-color: whitesmoke; } - .progress.is-light:indeterminate { - background-image: linear-gradient(to right, whitesmoke 30%, #dbdbdb 30%); } - .progress.is-dark::-webkit-progress-value, .content kbd.progress::-webkit-progress-value { - background-color: #363636; } - .progress.is-dark::-moz-progress-bar, .content kbd.progress::-moz-progress-bar { - background-color: #363636; } - .progress.is-dark::-ms-fill, .content kbd.progress::-ms-fill { - background-color: #363636; } - .progress.is-dark:indeterminate, .content kbd.progress:indeterminate { - background-image: linear-gradient(to right, #363636 30%, #dbdbdb 30%); } - .progress.is-primary::-webkit-progress-value, .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value { - background-color: #4eb5de; } - .progress.is-primary::-moz-progress-bar, .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar { - background-color: #4eb5de; } - .progress.is-primary::-ms-fill, .docstring > section > a.progress.docs-sourcelink::-ms-fill { - background-color: #4eb5de; } - .progress.is-primary:indeterminate, .docstring > section > a.progress.docs-sourcelink:indeterminate { - background-image: linear-gradient(to right, #4eb5de 30%, #dbdbdb 30%); } - .progress.is-link::-webkit-progress-value { - background-color: #2e63b8; } - .progress.is-link::-moz-progress-bar { - background-color: #2e63b8; } - .progress.is-link::-ms-fill { - background-color: #2e63b8; } - .progress.is-link:indeterminate { - background-image: linear-gradient(to right, #2e63b8 30%, #dbdbdb 30%); } - .progress.is-info::-webkit-progress-value { - background-color: #209cee; } - .progress.is-info::-moz-progress-bar { - background-color: #209cee; } - .progress.is-info::-ms-fill { - background-color: #209cee; } - .progress.is-info:indeterminate { - background-image: linear-gradient(to right, #209cee 30%, #dbdbdb 30%); } - .progress.is-success::-webkit-progress-value { - background-color: #22c35b; } - .progress.is-success::-moz-progress-bar { - background-color: #22c35b; } - .progress.is-success::-ms-fill { - background-color: #22c35b; } - .progress.is-success:indeterminate { - background-image: linear-gradient(to right, #22c35b 30%, #dbdbdb 30%); } - .progress.is-warning::-webkit-progress-value { - background-color: #ffdd57; } - .progress.is-warning::-moz-progress-bar { - background-color: #ffdd57; } - .progress.is-warning::-ms-fill { - background-color: #ffdd57; } - .progress.is-warning:indeterminate { - background-image: linear-gradient(to right, #ffdd57 30%, #dbdbdb 30%); } - .progress.is-danger::-webkit-progress-value { - background-color: #da0b00; } - .progress.is-danger::-moz-progress-bar { - background-color: #da0b00; } - .progress.is-danger::-ms-fill { - background-color: #da0b00; } - .progress.is-danger:indeterminate { - background-image: linear-gradient(to right, #da0b00 30%, #dbdbdb 30%); } - .progress:indeterminate { - animation-duration: 1.5s; - animation-iteration-count: infinite; - animation-name: moveIndeterminate; - animation-timing-function: linear; - background-color: #dbdbdb; - background-image: linear-gradient(to right, #222222 30%, #dbdbdb 30%); - background-position: top left; - background-repeat: no-repeat; - background-size: 150% 150%; } - .progress:indeterminate::-webkit-progress-bar { - background-color: transparent; } - .progress:indeterminate::-moz-progress-bar { - background-color: transparent; } - .progress.is-small, #documenter .docs-sidebar form.docs-search > input.progress { - height: 0.75rem; } - .progress.is-medium { - height: 1.25rem; } - .progress.is-large { - height: 1.5rem; } - -@keyframes moveIndeterminate { - from { - background-position: 200% 0; } - to { - background-position: -200% 0; } } - -.table { - background-color: white; - color: #363636; } - .table td, - .table th { - border: 1px solid #dbdbdb; - border-width: 0 0 1px; - padding: 0.5em 0.75em; - vertical-align: top; } - .table td.is-white, - .table th.is-white { - background-color: white; - border-color: white; - color: #0a0a0a; } - .table td.is-black, - .table th.is-black { - background-color: #0a0a0a; - border-color: #0a0a0a; - color: white; } - .table td.is-light, - .table th.is-light { - background-color: whitesmoke; - border-color: whitesmoke; - color: #363636; } - .table td.is-dark, - .table th.is-dark { - background-color: #363636; - border-color: #363636; - color: whitesmoke; } - .table td.is-primary, - .table th.is-primary { - background-color: #4eb5de; - border-color: #4eb5de; - color: #fff; } - .table td.is-link, - .table th.is-link { - background-color: #2e63b8; - border-color: #2e63b8; - color: #fff; } - .table td.is-info, - .table th.is-info { - background-color: #209cee; - border-color: #209cee; - color: #fff; } - .table td.is-success, - .table th.is-success { - background-color: #22c35b; - border-color: #22c35b; - color: #fff; } - .table td.is-warning, - .table th.is-warning { - background-color: #ffdd57; - border-color: #ffdd57; - color: rgba(0, 0, 0, 0.7); } - .table td.is-danger, - .table th.is-danger { - background-color: #da0b00; - border-color: #da0b00; - color: #fff; } - .table td.is-narrow, - .table th.is-narrow { - white-space: nowrap; - width: 1%; } - .table td.is-selected, - .table th.is-selected { - background-color: #4eb5de; - color: #fff; } - .table td.is-selected a, - .table td.is-selected strong, - .table th.is-selected a, - .table th.is-selected strong { - color: currentColor; } - .table th { - color: #222222; } - .table th:not([align]) { - text-align: left; } - .table tr.is-selected { - background-color: #4eb5de; - color: #fff; } - .table tr.is-selected a, - .table tr.is-selected strong { - color: currentColor; } - .table tr.is-selected td, - .table tr.is-selected th { - border-color: #fff; - color: currentColor; } - .table thead { - background-color: transparent; } - .table thead td, - .table thead th { - border-width: 0 0 2px; - color: #222222; } - .table tfoot { - background-color: transparent; } - .table tfoot td, - .table tfoot th { - border-width: 2px 0 0; - color: #222222; } - .table tbody { - background-color: transparent; } - .table tbody tr:last-child td, - .table tbody tr:last-child th { - border-bottom-width: 0; } - .table.is-bordered td, - .table.is-bordered th { - border-width: 1px; } - .table.is-bordered tr:last-child td, - .table.is-bordered tr:last-child th { - border-bottom-width: 1px; } - .table.is-fullwidth { - width: 100%; } - .table.is-hoverable tbody tr:not(.is-selected):hover { - background-color: #fafafa; } - .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover { - background-color: #fafafa; } - .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) { - background-color: whitesmoke; } - .table.is-narrow td, - .table.is-narrow th { - padding: 0.25em 0.5em; } - .table.is-striped tbody tr:not(.is-selected):nth-child(even) { - background-color: #fafafa; } - -.table-container { - -webkit-overflow-scrolling: touch; - overflow: auto; - overflow-y: hidden; - max-width: 100%; } - -.tags { - align-items: center; - display: flex; - flex-wrap: wrap; - justify-content: flex-start; } - .tags .tag, .tags .content kbd, .content .tags kbd, .tags .docstring > section > a.docs-sourcelink { - margin-bottom: 0.5rem; } - .tags .tag:not(:last-child), .tags .content kbd:not(:last-child), .content .tags kbd:not(:last-child), .tags .docstring > section > a.docs-sourcelink:not(:last-child) { - margin-right: 0.5rem; } - .tags:last-child { - margin-bottom: -0.5rem; } - .tags:not(:last-child) { - margin-bottom: 1rem; } - .tags.are-medium .tag:not(.is-normal):not(.is-large), .tags.are-medium .content kbd:not(.is-normal):not(.is-large), .content .tags.are-medium kbd:not(.is-normal):not(.is-large), .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) { - font-size: 1rem; } - .tags.are-large .tag:not(.is-normal):not(.is-medium), .tags.are-large .content kbd:not(.is-normal):not(.is-medium), .content .tags.are-large kbd:not(.is-normal):not(.is-medium), .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) { - font-size: 1.25rem; } - .tags.is-centered { - justify-content: center; } - .tags.is-centered .tag, .tags.is-centered .content kbd, .content .tags.is-centered kbd, .tags.is-centered .docstring > section > a.docs-sourcelink { - margin-right: 0.25rem; - margin-left: 0.25rem; } - .tags.is-right { - justify-content: flex-end; } - .tags.is-right .tag:not(:first-child), .tags.is-right .content kbd:not(:first-child), .content .tags.is-right kbd:not(:first-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) { - margin-left: 0.5rem; } - .tags.is-right .tag:not(:last-child), .tags.is-right .content kbd:not(:last-child), .content .tags.is-right kbd:not(:last-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) { - margin-right: 0; } - .tags.has-addons .tag, .tags.has-addons .content kbd, .content .tags.has-addons kbd, .tags.has-addons .docstring > section > a.docs-sourcelink { - margin-right: 0; } - .tags.has-addons .tag:not(:first-child), .tags.has-addons .content kbd:not(:first-child), .content .tags.has-addons kbd:not(:first-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) { - margin-left: 0; - border-bottom-left-radius: 0; - border-top-left-radius: 0; } - .tags.has-addons .tag:not(:last-child), .tags.has-addons .content kbd:not(:last-child), .content .tags.has-addons kbd:not(:last-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) { - border-bottom-right-radius: 0; - border-top-right-radius: 0; } - -.tag:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink:not(body) { - align-items: center; - background-color: whitesmoke; - border-radius: 4px; - color: #222222; - display: inline-flex; - font-size: 0.75rem; - height: 2em; - justify-content: center; - line-height: 1.5; - padding-left: 0.75em; - padding-right: 0.75em; - white-space: nowrap; } - .tag:not(body) .delete, .content kbd:not(body) .delete, .docstring > section > a.docs-sourcelink:not(body) .delete { - margin-left: 0.25rem; - margin-right: -0.375rem; } - .tag.is-white:not(body), .content kbd.is-white:not(body), .docstring > section > a.docs-sourcelink.is-white:not(body) { - background-color: white; - color: #0a0a0a; } - .tag.is-black:not(body), .content kbd.is-black:not(body), .docstring > section > a.docs-sourcelink.is-black:not(body) { - background-color: #0a0a0a; - color: white; } - .tag.is-light:not(body), .content kbd.is-light:not(body), .docstring > section > a.docs-sourcelink.is-light:not(body) { - background-color: whitesmoke; - color: #363636; } - .tag.is-dark:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink.is-dark:not(body), .content .docstring > section > kbd:not(body) { - background-color: #363636; - color: whitesmoke; } - .tag.is-primary:not(body), .content kbd.is-primary:not(body), .docstring > section > a.docs-sourcelink:not(body) { - background-color: #4eb5de; - color: #fff; } - .tag.is-link:not(body), .content kbd.is-link:not(body), .docstring > section > a.docs-sourcelink.is-link:not(body) { - background-color: #2e63b8; - color: #fff; } - .tag.is-info:not(body), .content kbd.is-info:not(body), .docstring > section > a.docs-sourcelink.is-info:not(body) { - background-color: #209cee; - color: #fff; } - .tag.is-success:not(body), .content kbd.is-success:not(body), .docstring > section > a.docs-sourcelink.is-success:not(body) { - background-color: #22c35b; - color: #fff; } - .tag.is-warning:not(body), .content kbd.is-warning:not(body), .docstring > section > a.docs-sourcelink.is-warning:not(body) { - background-color: #ffdd57; - color: rgba(0, 0, 0, 0.7); } - .tag.is-danger:not(body), .content kbd.is-danger:not(body), .docstring > section > a.docs-sourcelink.is-danger:not(body) { - background-color: #da0b00; - color: #fff; } - .tag.is-normal:not(body), .content kbd.is-normal:not(body), .docstring > section > a.docs-sourcelink.is-normal:not(body) { - font-size: 0.75rem; } - .tag.is-medium:not(body), .content kbd.is-medium:not(body), .docstring > section > a.docs-sourcelink.is-medium:not(body) { - font-size: 1rem; } - .tag.is-large:not(body), .content kbd.is-large:not(body), .docstring > section > a.docs-sourcelink.is-large:not(body) { - font-size: 1.25rem; } - .tag:not(body) .icon:first-child:not(:last-child), .content kbd:not(body) .icon:first-child:not(:last-child), .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) { - margin-left: -0.375em; - margin-right: 0.1875em; } - .tag:not(body) .icon:last-child:not(:first-child), .content kbd:not(body) .icon:last-child:not(:first-child), .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) { - margin-left: 0.1875em; - margin-right: -0.375em; } - .tag:not(body) .icon:first-child:last-child, .content kbd:not(body) .icon:first-child:last-child, .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child { - margin-left: -0.375em; - margin-right: -0.375em; } - .tag.is-delete:not(body), .content kbd.is-delete:not(body), .docstring > section > a.docs-sourcelink.is-delete:not(body) { - margin-left: 1px; - padding: 0; - position: relative; - width: 2em; } - .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after { - background-color: currentColor; - content: ""; - display: block; - left: 50%; - position: absolute; - top: 50%; - transform: translateX(-50%) translateY(-50%) rotate(45deg); - transform-origin: center center; } - .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before { - height: 1px; - width: 50%; } - .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after { - height: 50%; - width: 1px; } - .tag.is-delete:not(body):hover, .content kbd.is-delete:not(body):hover, .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, .tag.is-delete:not(body):focus, .content kbd.is-delete:not(body):focus, .docstring > section > a.docs-sourcelink.is-delete:not(body):focus { - background-color: #e8e8e8; } - .tag.is-delete:not(body):active, .content kbd.is-delete:not(body):active, .docstring > section > a.docs-sourcelink.is-delete:not(body):active { - background-color: #dbdbdb; } - .tag.is-rounded:not(body), #documenter .docs-sidebar form.docs-search > input:not(body), .content kbd.is-rounded:not(body), #documenter .docs-sidebar .content form.docs-search > input:not(body), .docstring > section > a.docs-sourcelink.is-rounded:not(body) { - border-radius: 290486px; } - -a.tag:hover, .docstring > section > a.docs-sourcelink:hover { - text-decoration: underline; } - -.title, -.subtitle { - word-break: break-word; } - .title em, - .title span, - .subtitle em, - .subtitle span { - font-weight: inherit; } - .title sub, - .subtitle sub { - font-size: 0.75em; } - .title sup, - .subtitle sup { - font-size: 0.75em; } - .title .tag, .title .content kbd, .content .title kbd, .title .docstring > section > a.docs-sourcelink, - .subtitle .tag, - .subtitle .content kbd, - .content .subtitle kbd, - .subtitle .docstring > section > a.docs-sourcelink { - vertical-align: middle; } - -.title { - color: #363636; - font-size: 2rem; - font-weight: 600; - line-height: 1.125; } - .title strong { - color: inherit; - font-weight: inherit; } - .title + .highlight { - margin-top: -0.75rem; } - .title:not(.is-spaced) + .subtitle { - margin-top: -1.25rem; } - .title.is-1 { - font-size: 3rem; } - .title.is-2 { - font-size: 2.5rem; } - .title.is-3 { - font-size: 2rem; } - .title.is-4 { - font-size: 1.5rem; } - .title.is-5 { - font-size: 1.25rem; } - .title.is-6 { - font-size: 1rem; } - .title.is-7 { - font-size: 0.75rem; } - -.subtitle { - color: #4a4a4a; - font-size: 1.25rem; - font-weight: 400; - line-height: 1.25; } - .subtitle strong { - color: #363636; - font-weight: 600; } - .subtitle:not(.is-spaced) + .title { - margin-top: -1.25rem; } - .subtitle.is-1 { - font-size: 3rem; } - .subtitle.is-2 { - font-size: 2.5rem; } - .subtitle.is-3 { - font-size: 2rem; } - .subtitle.is-4 { - font-size: 1.5rem; } - .subtitle.is-5 { - font-size: 1.25rem; } - .subtitle.is-6 { - font-size: 1rem; } - .subtitle.is-7 { - font-size: 0.75rem; } - -.heading { - display: block; - font-size: 11px; - letter-spacing: 1px; - margin-bottom: 5px; - text-transform: uppercase; } - -.highlight { - font-weight: 400; - max-width: 100%; - overflow: hidden; - padding: 0; } - .highlight pre { - overflow: auto; - max-width: 100%; } - -.number { - align-items: center; - background-color: whitesmoke; - border-radius: 290486px; - display: inline-flex; - font-size: 1.25rem; - height: 2em; - justify-content: center; - margin-right: 1.5rem; - min-width: 2.5em; - padding: 0.25rem 0.5rem; - text-align: center; - vertical-align: top; } - -.select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input { - background-color: white; - border-color: #dbdbdb; - border-radius: 4px; - color: #363636; } - .select select::-moz-placeholder, .textarea::-moz-placeholder, .input::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input::-moz-placeholder { - color: rgba(54, 54, 54, 0.3); } - .select select::-webkit-input-placeholder, .textarea::-webkit-input-placeholder, .input::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder { - color: rgba(54, 54, 54, 0.3); } - .select select:-moz-placeholder, .textarea:-moz-placeholder, .input:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input:-moz-placeholder { - color: rgba(54, 54, 54, 0.3); } - .select select:-ms-input-placeholder, .textarea:-ms-input-placeholder, .input:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder { - color: rgba(54, 54, 54, 0.3); } - .select select:hover, .textarea:hover, .input:hover, #documenter .docs-sidebar form.docs-search > input:hover, .select select.is-hovered, .is-hovered.textarea, .is-hovered.input, #documenter .docs-sidebar form.docs-search > input.is-hovered { - border-color: #b5b5b5; } - .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { - border-color: #2e63b8; - box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } - .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input { - background-color: whitesmoke; - border-color: whitesmoke; - box-shadow: none; - color: #6b6b6b; } - .select select[disabled]::-moz-placeholder, .textarea[disabled]::-moz-placeholder, .input[disabled]::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] .select select::-moz-placeholder, .select fieldset[disabled] select::-moz-placeholder, fieldset[disabled] .textarea::-moz-placeholder, fieldset[disabled] .input::-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-moz-placeholder { - color: rgba(107, 107, 107, 0.3); } - .select select[disabled]::-webkit-input-placeholder, .textarea[disabled]::-webkit-input-placeholder, .input[disabled]::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] .select select::-webkit-input-placeholder, .select fieldset[disabled] select::-webkit-input-placeholder, fieldset[disabled] .textarea::-webkit-input-placeholder, fieldset[disabled] .input::-webkit-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-webkit-input-placeholder { - color: rgba(107, 107, 107, 0.3); } - .select select[disabled]:-moz-placeholder, .textarea[disabled]:-moz-placeholder, .input[disabled]:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] .select select:-moz-placeholder, .select fieldset[disabled] select:-moz-placeholder, fieldset[disabled] .textarea:-moz-placeholder, fieldset[disabled] .input:-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-moz-placeholder { - color: rgba(107, 107, 107, 0.3); } - .select select[disabled]:-ms-input-placeholder, .textarea[disabled]:-ms-input-placeholder, .input[disabled]:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] .select select:-ms-input-placeholder, .select fieldset[disabled] select:-ms-input-placeholder, fieldset[disabled] .textarea:-ms-input-placeholder, fieldset[disabled] .input:-ms-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-ms-input-placeholder { - color: rgba(107, 107, 107, 0.3); } - -.textarea, .input, #documenter .docs-sidebar form.docs-search > input { - box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1); - max-width: 100%; - width: 100%; } - .textarea[readonly], .input[readonly], #documenter .docs-sidebar form.docs-search > input[readonly] { - box-shadow: none; } - .is-white.textarea, .is-white.input, #documenter .docs-sidebar form.docs-search > input.is-white { - border-color: white; } - .is-white.textarea:focus, .is-white.input:focus, #documenter .docs-sidebar form.docs-search > input.is-white:focus, .is-white.is-focused.textarea, .is-white.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-white.textarea:active, .is-white.input:active, #documenter .docs-sidebar form.docs-search > input.is-white:active, .is-white.is-active.textarea, .is-white.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } - .is-black.textarea, .is-black.input, #documenter .docs-sidebar form.docs-search > input.is-black { - border-color: #0a0a0a; } - .is-black.textarea:focus, .is-black.input:focus, #documenter .docs-sidebar form.docs-search > input.is-black:focus, .is-black.is-focused.textarea, .is-black.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-black.textarea:active, .is-black.input:active, #documenter .docs-sidebar form.docs-search > input.is-black:active, .is-black.is-active.textarea, .is-black.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } - .is-light.textarea, .is-light.input, #documenter .docs-sidebar form.docs-search > input.is-light { - border-color: whitesmoke; } - .is-light.textarea:focus, .is-light.input:focus, #documenter .docs-sidebar form.docs-search > input.is-light:focus, .is-light.is-focused.textarea, .is-light.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-light.textarea:active, .is-light.input:active, #documenter .docs-sidebar form.docs-search > input.is-light:active, .is-light.is-active.textarea, .is-light.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); } - .is-dark.textarea, .content kbd.textarea, .is-dark.input, #documenter .docs-sidebar form.docs-search > input.is-dark, .content kbd.input { - border-color: #363636; } - .is-dark.textarea:focus, .content kbd.textarea:focus, .is-dark.input:focus, #documenter .docs-sidebar form.docs-search > input.is-dark:focus, .content kbd.input:focus, .is-dark.is-focused.textarea, .content kbd.is-focused.textarea, .is-dark.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .content kbd.is-focused.input, #documenter .docs-sidebar .content form.docs-search > input.is-focused, .is-dark.textarea:active, .content kbd.textarea:active, .is-dark.input:active, #documenter .docs-sidebar form.docs-search > input.is-dark:active, .content kbd.input:active, .is-dark.is-active.textarea, .content kbd.is-active.textarea, .is-dark.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .content kbd.is-active.input, #documenter .docs-sidebar .content form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); } - .is-primary.textarea, .docstring > section > a.textarea.docs-sourcelink, .is-primary.input, #documenter .docs-sidebar form.docs-search > input.is-primary, .docstring > section > a.input.docs-sourcelink { - border-color: #4eb5de; } - .is-primary.textarea:focus, .docstring > section > a.textarea.docs-sourcelink:focus, .is-primary.input:focus, #documenter .docs-sidebar form.docs-search > input.is-primary:focus, .docstring > section > a.input.docs-sourcelink:focus, .is-primary.is-focused.textarea, .docstring > section > a.is-focused.textarea.docs-sourcelink, .is-primary.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .docstring > section > a.is-focused.input.docs-sourcelink, .is-primary.textarea:active, .docstring > section > a.textarea.docs-sourcelink:active, .is-primary.input:active, #documenter .docs-sidebar form.docs-search > input.is-primary:active, .docstring > section > a.input.docs-sourcelink:active, .is-primary.is-active.textarea, .docstring > section > a.is-active.textarea.docs-sourcelink, .is-primary.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .docstring > section > a.is-active.input.docs-sourcelink { - box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); } - .is-link.textarea, .is-link.input, #documenter .docs-sidebar form.docs-search > input.is-link { - border-color: #2e63b8; } - .is-link.textarea:focus, .is-link.input:focus, #documenter .docs-sidebar form.docs-search > input.is-link:focus, .is-link.is-focused.textarea, .is-link.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-link.textarea:active, .is-link.input:active, #documenter .docs-sidebar form.docs-search > input.is-link:active, .is-link.is-active.textarea, .is-link.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } - .is-info.textarea, .is-info.input, #documenter .docs-sidebar form.docs-search > input.is-info { - border-color: #209cee; } - .is-info.textarea:focus, .is-info.input:focus, #documenter .docs-sidebar form.docs-search > input.is-info:focus, .is-info.is-focused.textarea, .is-info.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-info.textarea:active, .is-info.input:active, #documenter .docs-sidebar form.docs-search > input.is-info:active, .is-info.is-active.textarea, .is-info.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); } - .is-success.textarea, .is-success.input, #documenter .docs-sidebar form.docs-search > input.is-success { - border-color: #22c35b; } - .is-success.textarea:focus, .is-success.input:focus, #documenter .docs-sidebar form.docs-search > input.is-success:focus, .is-success.is-focused.textarea, .is-success.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-success.textarea:active, .is-success.input:active, #documenter .docs-sidebar form.docs-search > input.is-success:active, .is-success.is-active.textarea, .is-success.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); } - .is-warning.textarea, .is-warning.input, #documenter .docs-sidebar form.docs-search > input.is-warning { - border-color: #ffdd57; } - .is-warning.textarea:focus, .is-warning.input:focus, #documenter .docs-sidebar form.docs-search > input.is-warning:focus, .is-warning.is-focused.textarea, .is-warning.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-warning.textarea:active, .is-warning.input:active, #documenter .docs-sidebar form.docs-search > input.is-warning:active, .is-warning.is-active.textarea, .is-warning.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); } - .is-danger.textarea, .is-danger.input, #documenter .docs-sidebar form.docs-search > input.is-danger { - border-color: #da0b00; } - .is-danger.textarea:focus, .is-danger.input:focus, #documenter .docs-sidebar form.docs-search > input.is-danger:focus, .is-danger.is-focused.textarea, .is-danger.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-danger.textarea:active, .is-danger.input:active, #documenter .docs-sidebar form.docs-search > input.is-danger:active, .is-danger.is-active.textarea, .is-danger.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { - box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); } - .is-small.textarea, .is-small.input, #documenter .docs-sidebar form.docs-search > input { - border-radius: 2px; - font-size: 0.75rem; } - .is-medium.textarea, .is-medium.input, #documenter .docs-sidebar form.docs-search > input.is-medium { - font-size: 1.25rem; } - .is-large.textarea, .is-large.input, #documenter .docs-sidebar form.docs-search > input.is-large { - font-size: 1.5rem; } - .is-fullwidth.textarea, .is-fullwidth.input, #documenter .docs-sidebar form.docs-search > input.is-fullwidth { - display: block; - width: 100%; } - .is-inline.textarea, .is-inline.input, #documenter .docs-sidebar form.docs-search > input.is-inline { - display: inline; - width: auto; } - -.input.is-rounded, #documenter .docs-sidebar form.docs-search > input { - border-radius: 290486px; - padding-left: 1em; - padding-right: 1em; } - -.input.is-static, #documenter .docs-sidebar form.docs-search > input.is-static { - background-color: transparent; - border-color: transparent; - box-shadow: none; - padding-left: 0; - padding-right: 0; } - -.textarea { - display: block; - max-width: 100%; - min-width: 100%; - padding: 0.625em; - resize: vertical; } - .textarea:not([rows]) { - max-height: 600px; - min-height: 120px; } - .textarea[rows] { - height: initial; } - .textarea.has-fixed-size { - resize: none; } - -.radio, .checkbox { - cursor: pointer; - display: inline-block; - line-height: 1.25; - position: relative; } - .radio input, .checkbox input { - cursor: pointer; } - .radio:hover, .checkbox:hover { - color: #363636; } - .radio[disabled], .checkbox[disabled], fieldset[disabled] .radio, fieldset[disabled] .checkbox { - color: #6b6b6b; - cursor: not-allowed; } - -.radio + .radio { - margin-left: 0.5em; } - -.select { - display: inline-block; - max-width: 100%; - position: relative; - vertical-align: top; } - .select:not(.is-multiple) { - height: 2.25em; } - .select:not(.is-multiple):not(.is-loading)::after { - border-color: #2e63b8; - right: 1.125em; - z-index: 4; } - .select.is-rounded select, #documenter .docs-sidebar form.docs-search > input.select select { - border-radius: 290486px; - padding-left: 1em; } - .select select { - cursor: pointer; - display: block; - font-size: 1em; - max-width: 100%; - outline: none; } - .select select::-ms-expand { - display: none; } - .select select[disabled]:hover, fieldset[disabled] .select select:hover { - border-color: whitesmoke; } - .select select:not([multiple]) { - padding-right: 2.5em; } - .select select[multiple] { - height: auto; - padding: 0; } - .select select[multiple] option { - padding: 0.5em 1em; } - .select:not(.is-multiple):not(.is-loading):hover::after { - border-color: #363636; } - .select.is-white:not(:hover)::after { - border-color: white; } - .select.is-white select { - border-color: white; } - .select.is-white select:hover, .select.is-white select.is-hovered { - border-color: #f2f2f2; } - .select.is-white select:focus, .select.is-white select.is-focused, .select.is-white select:active, .select.is-white select.is-active { - box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } - .select.is-black:not(:hover)::after { - border-color: #0a0a0a; } - .select.is-black select { - border-color: #0a0a0a; } - .select.is-black select:hover, .select.is-black select.is-hovered { - border-color: black; } - .select.is-black select:focus, .select.is-black select.is-focused, .select.is-black select:active, .select.is-black select.is-active { - box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } - .select.is-light:not(:hover)::after { - border-color: whitesmoke; } - .select.is-light select { - border-color: whitesmoke; } - .select.is-light select:hover, .select.is-light select.is-hovered { - border-color: #e8e8e8; } - .select.is-light select:focus, .select.is-light select.is-focused, .select.is-light select:active, .select.is-light select.is-active { - box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); } - .select.is-dark:not(:hover)::after, .content kbd.select:not(:hover)::after { - border-color: #363636; } - .select.is-dark select, .content kbd.select select { - border-color: #363636; } - .select.is-dark select:hover, .content kbd.select select:hover, .select.is-dark select.is-hovered, .content kbd.select select.is-hovered { - border-color: #292929; } - .select.is-dark select:focus, .content kbd.select select:focus, .select.is-dark select.is-focused, .content kbd.select select.is-focused, .select.is-dark select:active, .content kbd.select select:active, .select.is-dark select.is-active, .content kbd.select select.is-active { - box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); } - .select.is-primary:not(:hover)::after, .docstring > section > a.select.docs-sourcelink:not(:hover)::after { - border-color: #4eb5de; } - .select.is-primary select, .docstring > section > a.select.docs-sourcelink select { - border-color: #4eb5de; } - .select.is-primary select:hover, .docstring > section > a.select.docs-sourcelink select:hover, .select.is-primary select.is-hovered, .docstring > section > a.select.docs-sourcelink select.is-hovered { - border-color: #39acda; } - .select.is-primary select:focus, .docstring > section > a.select.docs-sourcelink select:focus, .select.is-primary select.is-focused, .docstring > section > a.select.docs-sourcelink select.is-focused, .select.is-primary select:active, .docstring > section > a.select.docs-sourcelink select:active, .select.is-primary select.is-active, .docstring > section > a.select.docs-sourcelink select.is-active { - box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); } - .select.is-link:not(:hover)::after { - border-color: #2e63b8; } - .select.is-link select { - border-color: #2e63b8; } - .select.is-link select:hover, .select.is-link select.is-hovered { - border-color: #2958a4; } - .select.is-link select:focus, .select.is-link select.is-focused, .select.is-link select:active, .select.is-link select.is-active { - box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } - .select.is-info:not(:hover)::after { - border-color: #209cee; } - .select.is-info select { - border-color: #209cee; } - .select.is-info select:hover, .select.is-info select.is-hovered { - border-color: #1190e3; } - .select.is-info select:focus, .select.is-info select.is-focused, .select.is-info select:active, .select.is-info select.is-active { - box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); } - .select.is-success:not(:hover)::after { - border-color: #22c35b; } - .select.is-success select { - border-color: #22c35b; } - .select.is-success select:hover, .select.is-success select.is-hovered { - border-color: #1ead51; } - .select.is-success select:focus, .select.is-success select.is-focused, .select.is-success select:active, .select.is-success select.is-active { - box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); } - .select.is-warning:not(:hover)::after { - border-color: #ffdd57; } - .select.is-warning select { - border-color: #ffdd57; } - .select.is-warning select:hover, .select.is-warning select.is-hovered { - border-color: #ffd83e; } - .select.is-warning select:focus, .select.is-warning select.is-focused, .select.is-warning select:active, .select.is-warning select.is-active { - box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); } - .select.is-danger:not(:hover)::after { - border-color: #da0b00; } - .select.is-danger select { - border-color: #da0b00; } - .select.is-danger select:hover, .select.is-danger select.is-hovered { - border-color: #c10a00; } - .select.is-danger select:focus, .select.is-danger select.is-focused, .select.is-danger select:active, .select.is-danger select.is-active { - box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); } - .select.is-small, #documenter .docs-sidebar form.docs-search > input.select { - border-radius: 2px; - font-size: 0.75rem; } - .select.is-medium { - font-size: 1.25rem; } - .select.is-large { - font-size: 1.5rem; } - .select.is-disabled::after { - border-color: #6b6b6b; } - .select.is-fullwidth { - width: 100%; } - .select.is-fullwidth select { - width: 100%; } - .select.is-loading::after { - margin-top: 0; - position: absolute; - right: 0.625em; - top: 0.625em; - transform: none; } - .select.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after { - font-size: 0.75rem; } - .select.is-loading.is-medium:after { - font-size: 1.25rem; } - .select.is-loading.is-large:after { - font-size: 1.5rem; } - -.file { - align-items: stretch; - display: flex; - justify-content: flex-start; - position: relative; } - .file.is-white .file-cta { - background-color: white; - border-color: transparent; - color: #0a0a0a; } - .file.is-white:hover .file-cta, .file.is-white.is-hovered .file-cta { - background-color: #f9f9f9; - border-color: transparent; - color: #0a0a0a; } - .file.is-white:focus .file-cta, .file.is-white.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25); - color: #0a0a0a; } - .file.is-white:active .file-cta, .file.is-white.is-active .file-cta { - background-color: #f2f2f2; - border-color: transparent; - color: #0a0a0a; } - .file.is-black .file-cta { - background-color: #0a0a0a; - border-color: transparent; - color: white; } - .file.is-black:hover .file-cta, .file.is-black.is-hovered .file-cta { - background-color: #040404; - border-color: transparent; - color: white; } - .file.is-black:focus .file-cta, .file.is-black.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25); - color: white; } - .file.is-black:active .file-cta, .file.is-black.is-active .file-cta { - background-color: black; - border-color: transparent; - color: white; } - .file.is-light .file-cta { - background-color: whitesmoke; - border-color: transparent; - color: #363636; } - .file.is-light:hover .file-cta, .file.is-light.is-hovered .file-cta { - background-color: #eeeeee; - border-color: transparent; - color: #363636; } - .file.is-light:focus .file-cta, .file.is-light.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(245, 245, 245, 0.25); - color: #363636; } - .file.is-light:active .file-cta, .file.is-light.is-active .file-cta { - background-color: #e8e8e8; - border-color: transparent; - color: #363636; } - .file.is-dark .file-cta, .content kbd.file .file-cta { - background-color: #363636; - border-color: transparent; - color: whitesmoke; } - .file.is-dark:hover .file-cta, .content kbd.file:hover .file-cta, .file.is-dark.is-hovered .file-cta, .content kbd.file.is-hovered .file-cta { - background-color: #2f2f2f; - border-color: transparent; - color: whitesmoke; } - .file.is-dark:focus .file-cta, .content kbd.file:focus .file-cta, .file.is-dark.is-focused .file-cta, .content kbd.file.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(54, 54, 54, 0.25); - color: whitesmoke; } - .file.is-dark:active .file-cta, .content kbd.file:active .file-cta, .file.is-dark.is-active .file-cta, .content kbd.file.is-active .file-cta { - background-color: #292929; - border-color: transparent; - color: whitesmoke; } - .file.is-primary .file-cta, .docstring > section > a.file.docs-sourcelink .file-cta { - background-color: #4eb5de; - border-color: transparent; - color: #fff; } - .file.is-primary:hover .file-cta, .docstring > section > a.file.docs-sourcelink:hover .file-cta, .file.is-primary.is-hovered .file-cta, .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta { - background-color: #43b1dc; - border-color: transparent; - color: #fff; } - .file.is-primary:focus .file-cta, .docstring > section > a.file.docs-sourcelink:focus .file-cta, .file.is-primary.is-focused .file-cta, .docstring > section > a.file.is-focused.docs-sourcelink .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(78, 181, 222, 0.25); - color: #fff; } - .file.is-primary:active .file-cta, .docstring > section > a.file.docs-sourcelink:active .file-cta, .file.is-primary.is-active .file-cta, .docstring > section > a.file.is-active.docs-sourcelink .file-cta { - background-color: #39acda; - border-color: transparent; - color: #fff; } - .file.is-link .file-cta { - background-color: #2e63b8; - border-color: transparent; - color: #fff; } - .file.is-link:hover .file-cta, .file.is-link.is-hovered .file-cta { - background-color: #2b5eae; - border-color: transparent; - color: #fff; } - .file.is-link:focus .file-cta, .file.is-link.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(46, 99, 184, 0.25); - color: #fff; } - .file.is-link:active .file-cta, .file.is-link.is-active .file-cta { - background-color: #2958a4; - border-color: transparent; - color: #fff; } - .file.is-info .file-cta { - background-color: #209cee; - border-color: transparent; - color: #fff; } - .file.is-info:hover .file-cta, .file.is-info.is-hovered .file-cta { - background-color: #1497ed; - border-color: transparent; - color: #fff; } - .file.is-info:focus .file-cta, .file.is-info.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(32, 156, 238, 0.25); - color: #fff; } - .file.is-info:active .file-cta, .file.is-info.is-active .file-cta { - background-color: #1190e3; - border-color: transparent; - color: #fff; } - .file.is-success .file-cta { - background-color: #22c35b; - border-color: transparent; - color: #fff; } - .file.is-success:hover .file-cta, .file.is-success.is-hovered .file-cta { - background-color: #20b856; - border-color: transparent; - color: #fff; } - .file.is-success:focus .file-cta, .file.is-success.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(34, 195, 91, 0.25); - color: #fff; } - .file.is-success:active .file-cta, .file.is-success.is-active .file-cta { - background-color: #1ead51; - border-color: transparent; - color: #fff; } - .file.is-warning .file-cta { - background-color: #ffdd57; - border-color: transparent; - color: rgba(0, 0, 0, 0.7); } - .file.is-warning:hover .file-cta, .file.is-warning.is-hovered .file-cta { - background-color: #ffda4a; - border-color: transparent; - color: rgba(0, 0, 0, 0.7); } - .file.is-warning:focus .file-cta, .file.is-warning.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(255, 221, 87, 0.25); - color: rgba(0, 0, 0, 0.7); } - .file.is-warning:active .file-cta, .file.is-warning.is-active .file-cta { - background-color: #ffd83e; - border-color: transparent; - color: rgba(0, 0, 0, 0.7); } - .file.is-danger .file-cta { - background-color: #da0b00; - border-color: transparent; - color: #fff; } - .file.is-danger:hover .file-cta, .file.is-danger.is-hovered .file-cta { - background-color: #cd0a00; - border-color: transparent; - color: #fff; } - .file.is-danger:focus .file-cta, .file.is-danger.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(218, 11, 0, 0.25); - color: #fff; } - .file.is-danger:active .file-cta, .file.is-danger.is-active .file-cta { - background-color: #c10a00; - border-color: transparent; - color: #fff; } - .file.is-small, #documenter .docs-sidebar form.docs-search > input.file { - font-size: 0.75rem; } - .file.is-medium { - font-size: 1.25rem; } - .file.is-medium .file-icon .fa { - font-size: 21px; } - .file.is-large { - font-size: 1.5rem; } - .file.is-large .file-icon .fa { - font-size: 28px; } - .file.has-name .file-cta { - border-bottom-right-radius: 0; - border-top-right-radius: 0; } - .file.has-name .file-name { - border-bottom-left-radius: 0; - border-top-left-radius: 0; } - .file.has-name.is-empty .file-cta { - border-radius: 4px; } - .file.has-name.is-empty .file-name { - display: none; } - .file.is-boxed .file-label { - flex-direction: column; } - .file.is-boxed .file-cta { - flex-direction: column; - height: auto; - padding: 1em 3em; } - .file.is-boxed .file-name { - border-width: 0 1px 1px; } - .file.is-boxed .file-icon { - height: 1.5em; - width: 1.5em; } - .file.is-boxed .file-icon .fa { - font-size: 21px; } - .file.is-boxed.is-small .file-icon .fa, #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa { - font-size: 14px; } - .file.is-boxed.is-medium .file-icon .fa { - font-size: 28px; } - .file.is-boxed.is-large .file-icon .fa { - font-size: 35px; } - .file.is-boxed.has-name .file-cta { - border-radius: 4px 4px 0 0; } - .file.is-boxed.has-name .file-name { - border-radius: 0 0 4px 4px; - border-width: 0 1px 1px; } - .file.is-centered { - justify-content: center; } - .file.is-fullwidth .file-label { - width: 100%; } - .file.is-fullwidth .file-name { - flex-grow: 1; - max-width: none; } - .file.is-right { - justify-content: flex-end; } - .file.is-right .file-cta { - border-radius: 0 4px 4px 0; } - .file.is-right .file-name { - border-radius: 4px 0 0 4px; - border-width: 1px 0 1px 1px; - order: -1; } - -.file-label { - align-items: stretch; - display: flex; - cursor: pointer; - justify-content: flex-start; - overflow: hidden; - position: relative; } - .file-label:hover .file-cta { - background-color: #eeeeee; - color: #363636; } - .file-label:hover .file-name { - border-color: #d5d5d5; } - .file-label:active .file-cta { - background-color: #e8e8e8; - color: #363636; } - .file-label:active .file-name { - border-color: #cfcfcf; } - -.file-input { - height: 100%; - left: 0; - opacity: 0; - outline: none; - position: absolute; - top: 0; - width: 100%; } - -.file-cta, -.file-name { - border-color: #dbdbdb; - border-radius: 4px; - font-size: 1em; - padding-left: 1em; - padding-right: 1em; - white-space: nowrap; } - -.file-cta { - background-color: whitesmoke; - color: #4a4a4a; } - -.file-name { - border-color: #dbdbdb; - border-style: solid; - border-width: 1px 1px 1px 0; - display: block; - max-width: 16em; - overflow: hidden; - text-align: left; - text-overflow: ellipsis; } - -.file-icon { - align-items: center; - display: flex; - height: 1em; - justify-content: center; - margin-right: 0.5em; - width: 1em; } - .file-icon .fa { - font-size: 14px; } - -.label { - color: #363636; - display: block; - font-size: 1rem; - font-weight: 700; } - .label:not(:last-child) { - margin-bottom: 0.5em; } - .label.is-small, #documenter .docs-sidebar form.docs-search > input.label { - font-size: 0.75rem; } - .label.is-medium { - font-size: 1.25rem; } - .label.is-large { - font-size: 1.5rem; } - -.help { - display: block; - font-size: 0.75rem; - margin-top: 0.25rem; } - .help.is-white { - color: white; } - .help.is-black { - color: #0a0a0a; } - .help.is-light { - color: whitesmoke; } - .help.is-dark, .content kbd.help { - color: #363636; } - .help.is-primary, .docstring > section > a.help.docs-sourcelink { - color: #4eb5de; } - .help.is-link { - color: #2e63b8; } - .help.is-info { - color: #209cee; } - .help.is-success { - color: #22c35b; } - .help.is-warning { - color: #ffdd57; } - .help.is-danger { - color: #da0b00; } - -.field:not(:last-child) { - margin-bottom: 0.75rem; } - -.field.has-addons { - display: flex; - justify-content: flex-start; } - .field.has-addons .control:not(:last-child) { - margin-right: -1px; } - .field.has-addons .control:not(:first-child):not(:last-child) .button, - .field.has-addons .control:not(:first-child):not(:last-child) .input, - .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input, - #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input, - .field.has-addons .control:not(:first-child):not(:last-child) .select select { - border-radius: 0; } - .field.has-addons .control:first-child:not(:only-child) .button, - .field.has-addons .control:first-child:not(:only-child) .input, - .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input, - #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input, - .field.has-addons .control:first-child:not(:only-child) .select select { - border-bottom-right-radius: 0; - border-top-right-radius: 0; } - .field.has-addons .control:last-child:not(:only-child) .button, - .field.has-addons .control:last-child:not(:only-child) .input, - .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input, - #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input, - .field.has-addons .control:last-child:not(:only-child) .select select { - border-bottom-left-radius: 0; - border-top-left-radius: 0; } - .field.has-addons .control .button:not([disabled]):hover, .field.has-addons .control .button.is-hovered:not([disabled]), - .field.has-addons .control .input:not([disabled]):hover, - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover, - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover, - .field.has-addons .control .input.is-hovered:not([disabled]), - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]), - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]), - .field.has-addons .control .select select:not([disabled]):hover, - .field.has-addons .control .select select.is-hovered:not([disabled]) { - z-index: 2; } - .field.has-addons .control .button:not([disabled]):focus, .field.has-addons .control .button.is-focused:not([disabled]), .field.has-addons .control .button:not([disabled]):active, .field.has-addons .control .button.is-active:not([disabled]), - .field.has-addons .control .input:not([disabled]):focus, - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus, - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus, - .field.has-addons .control .input.is-focused:not([disabled]), - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]), - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]), - .field.has-addons .control .input:not([disabled]):active, - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active, - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active, - .field.has-addons .control .input.is-active:not([disabled]), - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]), - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]), - .field.has-addons .control .select select:not([disabled]):focus, - .field.has-addons .control .select select.is-focused:not([disabled]), - .field.has-addons .control .select select:not([disabled]):active, - .field.has-addons .control .select select.is-active:not([disabled]) { - z-index: 3; } - .field.has-addons .control .button:not([disabled]):focus:hover, .field.has-addons .control .button.is-focused:not([disabled]):hover, .field.has-addons .control .button:not([disabled]):active:hover, .field.has-addons .control .button.is-active:not([disabled]):hover, - .field.has-addons .control .input:not([disabled]):focus:hover, - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover, - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover, - .field.has-addons .control .input.is-focused:not([disabled]):hover, - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover, - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover, - .field.has-addons .control .input:not([disabled]):active:hover, - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover, - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover, - .field.has-addons .control .input.is-active:not([disabled]):hover, - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover, - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover, - .field.has-addons .control .select select:not([disabled]):focus:hover, - .field.has-addons .control .select select.is-focused:not([disabled]):hover, - .field.has-addons .control .select select:not([disabled]):active:hover, - .field.has-addons .control .select select.is-active:not([disabled]):hover { - z-index: 4; } - .field.has-addons .control.is-expanded { - flex-grow: 1; - flex-shrink: 1; } - .field.has-addons.has-addons-centered { - justify-content: center; } - .field.has-addons.has-addons-right { - justify-content: flex-end; } - .field.has-addons.has-addons-fullwidth .control { - flex-grow: 1; - flex-shrink: 0; } - -.field.is-grouped { - display: flex; - justify-content: flex-start; } - .field.is-grouped > .control { - flex-shrink: 0; } - .field.is-grouped > .control:not(:last-child) { - margin-bottom: 0; - margin-right: 0.75rem; } - .field.is-grouped > .control.is-expanded { - flex-grow: 1; - flex-shrink: 1; } - .field.is-grouped.is-grouped-centered { - justify-content: center; } - .field.is-grouped.is-grouped-right { - justify-content: flex-end; } - .field.is-grouped.is-grouped-multiline { - flex-wrap: wrap; } - .field.is-grouped.is-grouped-multiline > .control:last-child, .field.is-grouped.is-grouped-multiline > .control:not(:last-child) { - margin-bottom: 0.75rem; } - .field.is-grouped.is-grouped-multiline:last-child { - margin-bottom: -0.75rem; } - .field.is-grouped.is-grouped-multiline:not(:last-child) { - margin-bottom: 0; } - -@media screen and (min-width: 769px), print { - .field.is-horizontal { - display: flex; } } - -.field-label .label { - font-size: inherit; } - -@media screen and (max-width: 768px) { - .field-label { - margin-bottom: 0.5rem; } } - -@media screen and (min-width: 769px), print { - .field-label { - flex-basis: 0; - flex-grow: 1; - flex-shrink: 0; - margin-right: 1.5rem; - text-align: right; } - .field-label.is-small, #documenter .docs-sidebar form.docs-search > input.field-label { - font-size: 0.75rem; - padding-top: 0.375em; } - .field-label.is-normal { - padding-top: 0.375em; } - .field-label.is-medium { - font-size: 1.25rem; - padding-top: 0.375em; } - .field-label.is-large { - font-size: 1.5rem; - padding-top: 0.375em; } } - -.field-body .field .field { - margin-bottom: 0; } - -@media screen and (min-width: 769px), print { - .field-body { - display: flex; - flex-basis: 0; - flex-grow: 5; - flex-shrink: 1; } - .field-body .field { - margin-bottom: 0; } - .field-body > .field { - flex-shrink: 1; } - .field-body > .field:not(.is-narrow) { - flex-grow: 1; } - .field-body > .field:not(:last-child) { - margin-right: 0.75rem; } } - -.control { - box-sizing: border-box; - clear: both; - font-size: 1rem; - position: relative; - text-align: left; } - .control.has-icons-left .input:focus ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon, - .control.has-icons-left .select:focus ~ .icon, .control.has-icons-right .input:focus ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon, - .control.has-icons-right .select:focus ~ .icon { - color: #6b6b6b; } - .control.has-icons-left .input.is-small ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon, - .control.has-icons-left .select.is-small ~ .icon, .control.has-icons-right .input.is-small ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon, - .control.has-icons-right .select.is-small ~ .icon { - font-size: 0.75rem; } - .control.has-icons-left .input.is-medium ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon, - .control.has-icons-left .select.is-medium ~ .icon, .control.has-icons-right .input.is-medium ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon, - .control.has-icons-right .select.is-medium ~ .icon { - font-size: 1.25rem; } - .control.has-icons-left .input.is-large ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon, - .control.has-icons-left .select.is-large ~ .icon, .control.has-icons-right .input.is-large ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon, - .control.has-icons-right .select.is-large ~ .icon { - font-size: 1.5rem; } - .control.has-icons-left .icon, .control.has-icons-right .icon { - color: #dbdbdb; - height: 2.25em; - pointer-events: none; - position: absolute; - top: 0; - width: 2.25em; - z-index: 4; } - .control.has-icons-left .input, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input, - .control.has-icons-left .select select { - padding-left: 2.25em; } - .control.has-icons-left .icon.is-left { - left: 0; } - .control.has-icons-right .input, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input, - .control.has-icons-right .select select { - padding-right: 2.25em; } - .control.has-icons-right .icon.is-right { - right: 0; } - .control.is-loading::after { - position: absolute !important; - right: 0.625em; - top: 0.625em; - z-index: 4; } - .control.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after { - font-size: 0.75rem; } - .control.is-loading.is-medium:after { - font-size: 1.25rem; } - .control.is-loading.is-large:after { - font-size: 1.5rem; } - -.breadcrumb { - font-size: 1rem; - white-space: nowrap; } - .breadcrumb a { - align-items: center; - color: #2e63b8; - display: flex; - justify-content: center; - padding: 0 0.75em; } - .breadcrumb a:hover { - color: #363636; } - .breadcrumb li { - align-items: center; - display: flex; } - .breadcrumb li:first-child a { - padding-left: 0; } - .breadcrumb li.is-active a { - color: #222222; - cursor: default; - pointer-events: none; } - .breadcrumb li + li::before { - color: #b5b5b5; - content: "\0002f"; } - .breadcrumb ul, - .breadcrumb ol { - align-items: flex-start; - display: flex; - flex-wrap: wrap; - justify-content: flex-start; } - .breadcrumb .icon:first-child { - margin-right: 0.5em; } - .breadcrumb .icon:last-child { - margin-left: 0.5em; } - .breadcrumb.is-centered ol, - .breadcrumb.is-centered ul { - justify-content: center; } - .breadcrumb.is-right ol, - .breadcrumb.is-right ul { - justify-content: flex-end; } - .breadcrumb.is-small, #documenter .docs-sidebar form.docs-search > input.breadcrumb { - font-size: 0.75rem; } - .breadcrumb.is-medium { - font-size: 1.25rem; } - .breadcrumb.is-large { - font-size: 1.5rem; } - .breadcrumb.has-arrow-separator li + li::before { - content: "\02192"; } - .breadcrumb.has-bullet-separator li + li::before { - content: "\02022"; } - .breadcrumb.has-dot-separator li + li::before { - content: "\000b7"; } - .breadcrumb.has-succeeds-separator li + li::before { - content: "\0227B"; } - -.card { - background-color: white; - box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); - color: #222222; - max-width: 100%; - position: relative; } - -.card-header { - background-color: transparent; - align-items: stretch; - box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1); - display: flex; } - -.card-header-title { - align-items: center; - color: #222222; - display: flex; - flex-grow: 1; - font-weight: 700; - padding: 0.75rem; } - .card-header-title.is-centered { - justify-content: center; } - -.card-header-icon { - align-items: center; - cursor: pointer; - display: flex; - justify-content: center; - padding: 0.75rem; } - -.card-image { - display: block; - position: relative; } - -.card-content { - background-color: transparent; - padding: 1.5rem; } - -.card-footer { - background-color: transparent; - border-top: 1px solid #dbdbdb; - align-items: stretch; - display: flex; } - -.card-footer-item { - align-items: center; - display: flex; - flex-basis: 0; - flex-grow: 1; - flex-shrink: 0; - justify-content: center; - padding: 0.75rem; } - .card-footer-item:not(:last-child) { - border-right: 1px solid #dbdbdb; } - -.card .media:not(:last-child) { - margin-bottom: 1.5rem; } - -.dropdown { - display: inline-flex; - position: relative; - vertical-align: top; } - .dropdown.is-active .dropdown-menu, .dropdown.is-hoverable:hover .dropdown-menu { - display: block; } - .dropdown.is-right .dropdown-menu { - left: auto; - right: 0; } - .dropdown.is-up .dropdown-menu { - bottom: 100%; - padding-bottom: 4px; - padding-top: initial; - top: auto; } - -.dropdown-menu { - display: none; - left: 0; - min-width: 12rem; - padding-top: 4px; - position: absolute; - top: 100%; - z-index: 20; } - -.dropdown-content { - background-color: white; - border-radius: 4px; - box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); - padding-bottom: 0.5rem; - padding-top: 0.5rem; } - -.dropdown-item { - color: #4a4a4a; - display: block; - font-size: 0.875rem; - line-height: 1.5; - padding: 0.375rem 1rem; - position: relative; } - -a.dropdown-item, -button.dropdown-item { - padding-right: 3rem; - text-align: left; - white-space: nowrap; - width: 100%; } - a.dropdown-item:hover, - button.dropdown-item:hover { - background-color: whitesmoke; - color: #0a0a0a; } - a.dropdown-item.is-active, - button.dropdown-item.is-active { - background-color: #2e63b8; - color: #fff; } - -.dropdown-divider { - background-color: #dbdbdb; - border: none; - display: block; - height: 1px; - margin: 0.5rem 0; } - -.level { - align-items: center; - justify-content: space-between; } - .level code { - border-radius: 4px; } - .level img { - display: inline-block; - vertical-align: top; } - .level.is-mobile { - display: flex; } - .level.is-mobile .level-left, - .level.is-mobile .level-right { - display: flex; } - .level.is-mobile .level-left + .level-right { - margin-top: 0; } - .level.is-mobile .level-item:not(:last-child) { - margin-bottom: 0; - margin-right: 0.75rem; } - .level.is-mobile .level-item:not(.is-narrow) { - flex-grow: 1; } - @media screen and (min-width: 769px), print { - .level { - display: flex; } - .level > .level-item:not(.is-narrow) { - flex-grow: 1; } } -.level-item { - align-items: center; - display: flex; - flex-basis: auto; - flex-grow: 0; - flex-shrink: 0; - justify-content: center; } - .level-item .title, - .level-item .subtitle { - margin-bottom: 0; } - @media screen and (max-width: 768px) { - .level-item:not(:last-child) { - margin-bottom: 0.75rem; } } -.level-left, -.level-right { - flex-basis: auto; - flex-grow: 0; - flex-shrink: 0; } - .level-left .level-item.is-flexible, - .level-right .level-item.is-flexible { - flex-grow: 1; } - @media screen and (min-width: 769px), print { - .level-left .level-item:not(:last-child), - .level-right .level-item:not(:last-child) { - margin-right: 0.75rem; } } -.level-left { - align-items: center; - justify-content: flex-start; } - @media screen and (max-width: 768px) { - .level-left + .level-right { - margin-top: 1.5rem; } } - @media screen and (min-width: 769px), print { - .level-left { - display: flex; } } -.level-right { - align-items: center; - justify-content: flex-end; } - @media screen and (min-width: 769px), print { - .level-right { - display: flex; } } -.list { - background-color: white; - border-radius: 4px; - box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); } - -.list-item { - display: block; - padding: 0.5em 1em; } - .list-item:not(a) { - color: #222222; } - .list-item:first-child { - border-top-left-radius: 4px; - border-top-right-radius: 4px; } - .list-item:last-child { - border-bottom-left-radius: 4px; - border-bottom-right-radius: 4px; } - .list-item:not(:last-child) { - border-bottom: 1px solid #dbdbdb; } - .list-item.is-active { - background-color: #2e63b8; - color: #fff; } - -a.list-item { - background-color: whitesmoke; - cursor: pointer; } - -.media { - align-items: flex-start; - display: flex; - text-align: left; } - .media .content:not(:last-child) { - margin-bottom: 0.75rem; } - .media .media { - border-top: 1px solid rgba(219, 219, 219, 0.5); - display: flex; - padding-top: 0.75rem; } - .media .media .content:not(:last-child), - .media .media .control:not(:last-child) { - margin-bottom: 0.5rem; } - .media .media .media { - padding-top: 0.5rem; } - .media .media .media + .media { - margin-top: 0.5rem; } - .media + .media { - border-top: 1px solid rgba(219, 219, 219, 0.5); - margin-top: 1rem; - padding-top: 1rem; } - .media.is-large + .media { - margin-top: 1.5rem; - padding-top: 1.5rem; } - -.media-left, -.media-right { - flex-basis: auto; - flex-grow: 0; - flex-shrink: 0; } - -.media-left { - margin-right: 1rem; } - -.media-right { - margin-left: 1rem; } - -.media-content { - flex-basis: auto; - flex-grow: 1; - flex-shrink: 1; - text-align: left; } - -@media screen and (max-width: 768px) { - .media-content { - overflow-x: auto; } } - -.menu { - font-size: 1rem; } - .menu.is-small, #documenter .docs-sidebar form.docs-search > input.menu { - font-size: 0.75rem; } - .menu.is-medium { - font-size: 1.25rem; } - .menu.is-large { - font-size: 1.5rem; } - -.menu-list { - line-height: 1.25; } - .menu-list a { - border-radius: 2px; - color: #222222; - display: block; - padding: 0.5em 0.75em; } - .menu-list a:hover { - background-color: whitesmoke; - color: #222222; } - .menu-list a.is-active { - background-color: #2e63b8; - color: #fff; } - .menu-list li ul { - border-left: 1px solid #dbdbdb; - margin: 0.75em; - padding-left: 0.75em; } - -.menu-label { - color: #6b6b6b; - font-size: 0.75em; - letter-spacing: 0.1em; - text-transform: uppercase; } - .menu-label:not(:first-child) { - margin-top: 1em; } - .menu-label:not(:last-child) { - margin-bottom: 1em; } - -.message { - background-color: whitesmoke; - border-radius: 4px; - font-size: 1rem; } - .message strong { - color: currentColor; } - .message a:not(.button):not(.tag):not(.dropdown-item) { - color: currentColor; - text-decoration: underline; } - .message.is-small, #documenter .docs-sidebar form.docs-search > input.message { - font-size: 0.75rem; } - .message.is-medium { - font-size: 1.25rem; } - .message.is-large { - font-size: 1.5rem; } - .message.is-white { - background-color: white; } - .message.is-white .message-header { - background-color: white; - color: #0a0a0a; } - .message.is-white .message-body { - border-color: white; - color: #4d4d4d; } - .message.is-black { - background-color: #fafafa; } - .message.is-black .message-header { - background-color: #0a0a0a; - color: white; } - .message.is-black .message-body { - border-color: #0a0a0a; - color: #090909; } - .message.is-light { - background-color: #fafafa; } - .message.is-light .message-header { - background-color: whitesmoke; - color: #363636; } - .message.is-light .message-body { - border-color: whitesmoke; - color: #505050; } - .message.is-dark, .content kbd.message { - background-color: #fafafa; } - .message.is-dark .message-header, .content kbd.message .message-header { - background-color: #363636; - color: whitesmoke; } - .message.is-dark .message-body, .content kbd.message .message-body { - border-color: #363636; - color: #2a2a2a; } - .message.is-primary, .docstring > section > a.message.docs-sourcelink { - background-color: #f6fbfd; } - .message.is-primary .message-header, .docstring > section > a.message.docs-sourcelink .message-header { - background-color: #4eb5de; - color: #fff; } - .message.is-primary .message-body, .docstring > section > a.message.docs-sourcelink .message-body { - border-color: #4eb5de; - color: #1f556a; } - .message.is-link { - background-color: #f7f9fd; } - .message.is-link .message-header { - background-color: #2e63b8; - color: #fff; } - .message.is-link .message-body { - border-color: #2e63b8; - color: #264981; } - .message.is-info { - background-color: #f6fbfe; } - .message.is-info .message-header { - background-color: #209cee; - color: #fff; } - .message.is-info .message-body { - border-color: #209cee; - color: #12537d; } - .message.is-success { - background-color: #f6fdf9; } - .message.is-success .message-header { - background-color: #22c35b; - color: #fff; } - .message.is-success .message-body { - border-color: #22c35b; - color: #0f361d; } - .message.is-warning { - background-color: #fffdf5; } - .message.is-warning .message-header { - background-color: #ffdd57; - color: rgba(0, 0, 0, 0.7); } - .message.is-warning .message-body { - border-color: #ffdd57; - color: #3c3108; } - .message.is-danger { - background-color: #fff5f5; } - .message.is-danger .message-header { - background-color: #da0b00; - color: #fff; } - .message.is-danger .message-body { - border-color: #da0b00; - color: #9b0c04; } - -.message-header { - align-items: center; - background-color: #222222; - border-radius: 4px 4px 0 0; - color: #fff; - display: flex; - font-weight: 700; - justify-content: space-between; - line-height: 1.25; - padding: 0.75em 1em; - position: relative; } - .message-header .delete { - flex-grow: 0; - flex-shrink: 0; - margin-left: 0.75em; } - .message-header + .message-body { - border-width: 0; - border-top-left-radius: 0; - border-top-right-radius: 0; } - -.message-body { - border-color: #dbdbdb; - border-radius: 4px; - border-style: solid; - border-width: 0 0 0 4px; - color: #222222; - padding: 1.25em 1.5em; } - .message-body code, - .message-body pre { - background-color: white; } - .message-body pre code { - background-color: transparent; } - -.modal { - align-items: center; - display: none; - flex-direction: column; - justify-content: center; - overflow: hidden; - position: fixed; - z-index: 40; } - .modal.is-active { - display: flex; } - -.modal-background { - background-color: rgba(10, 10, 10, 0.86); } - -.modal-content, -.modal-card { - margin: 0 20px; - max-height: calc(100vh - 160px); - overflow: auto; - position: relative; - width: 100%; } - @media screen and (min-width: 769px), print { - .modal-content, - .modal-card { - margin: 0 auto; - max-height: calc(100vh - 40px); - width: 640px; } } -.modal-close { - background: none; - height: 40px; - position: fixed; - right: 20px; - top: 20px; - width: 40px; } - -.modal-card { - display: flex; - flex-direction: column; - max-height: calc(100vh - 40px); - overflow: hidden; - -ms-overflow-y: visible; } - -.modal-card-head, -.modal-card-foot { - align-items: center; - background-color: whitesmoke; - display: flex; - flex-shrink: 0; - justify-content: flex-start; - padding: 20px; - position: relative; } - -.modal-card-head { - border-bottom: 1px solid #dbdbdb; - border-top-left-radius: 6px; - border-top-right-radius: 6px; } - -.modal-card-title { - color: #222222; - flex-grow: 1; - flex-shrink: 0; - font-size: 1.5rem; - line-height: 1; } - -.modal-card-foot { - border-bottom-left-radius: 6px; - border-bottom-right-radius: 6px; - border-top: 1px solid #dbdbdb; } - .modal-card-foot .button:not(:last-child) { - margin-right: 0.5em; } - -.modal-card-body { - -webkit-overflow-scrolling: touch; - background-color: white; - flex-grow: 1; - flex-shrink: 1; - overflow: auto; - padding: 20px; } - -.navbar { - background-color: white; - min-height: 3.25rem; - position: relative; - z-index: 30; } - .navbar.is-white { - background-color: white; - color: #0a0a0a; } - .navbar.is-white .navbar-brand > .navbar-item, - .navbar.is-white .navbar-brand .navbar-link { - color: #0a0a0a; } - .navbar.is-white .navbar-brand > a.navbar-item:focus, .navbar.is-white .navbar-brand > a.navbar-item:hover, .navbar.is-white .navbar-brand > a.navbar-item.is-active, - .navbar.is-white .navbar-brand .navbar-link:focus, - .navbar.is-white .navbar-brand .navbar-link:hover, - .navbar.is-white .navbar-brand .navbar-link.is-active { - background-color: #f2f2f2; - color: #0a0a0a; } - .navbar.is-white .navbar-brand .navbar-link::after { - border-color: #0a0a0a; } - .navbar.is-white .navbar-burger { - color: #0a0a0a; } - @media screen and (min-width: 1056px) { - .navbar.is-white .navbar-start > .navbar-item, - .navbar.is-white .navbar-start .navbar-link, - .navbar.is-white .navbar-end > .navbar-item, - .navbar.is-white .navbar-end .navbar-link { - color: #0a0a0a; } - .navbar.is-white .navbar-start > a.navbar-item:focus, .navbar.is-white .navbar-start > a.navbar-item:hover, .navbar.is-white .navbar-start > a.navbar-item.is-active, - .navbar.is-white .navbar-start .navbar-link:focus, - .navbar.is-white .navbar-start .navbar-link:hover, - .navbar.is-white .navbar-start .navbar-link.is-active, - .navbar.is-white .navbar-end > a.navbar-item:focus, - .navbar.is-white .navbar-end > a.navbar-item:hover, - .navbar.is-white .navbar-end > a.navbar-item.is-active, - .navbar.is-white .navbar-end .navbar-link:focus, - .navbar.is-white .navbar-end .navbar-link:hover, - .navbar.is-white .navbar-end .navbar-link.is-active { - background-color: #f2f2f2; - color: #0a0a0a; } - .navbar.is-white .navbar-start .navbar-link::after, - .navbar.is-white .navbar-end .navbar-link::after { - border-color: #0a0a0a; } - .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #f2f2f2; - color: #0a0a0a; } - .navbar.is-white .navbar-dropdown a.navbar-item.is-active { - background-color: white; - color: #0a0a0a; } } - .navbar.is-black { - background-color: #0a0a0a; - color: white; } - .navbar.is-black .navbar-brand > .navbar-item, - .navbar.is-black .navbar-brand .navbar-link { - color: white; } - .navbar.is-black .navbar-brand > a.navbar-item:focus, .navbar.is-black .navbar-brand > a.navbar-item:hover, .navbar.is-black .navbar-brand > a.navbar-item.is-active, - .navbar.is-black .navbar-brand .navbar-link:focus, - .navbar.is-black .navbar-brand .navbar-link:hover, - .navbar.is-black .navbar-brand .navbar-link.is-active { - background-color: black; - color: white; } - .navbar.is-black .navbar-brand .navbar-link::after { - border-color: white; } - .navbar.is-black .navbar-burger { - color: white; } - @media screen and (min-width: 1056px) { - .navbar.is-black .navbar-start > .navbar-item, - .navbar.is-black .navbar-start .navbar-link, - .navbar.is-black .navbar-end > .navbar-item, - .navbar.is-black .navbar-end .navbar-link { - color: white; } - .navbar.is-black .navbar-start > a.navbar-item:focus, .navbar.is-black .navbar-start > a.navbar-item:hover, .navbar.is-black .navbar-start > a.navbar-item.is-active, - .navbar.is-black .navbar-start .navbar-link:focus, - .navbar.is-black .navbar-start .navbar-link:hover, - .navbar.is-black .navbar-start .navbar-link.is-active, - .navbar.is-black .navbar-end > a.navbar-item:focus, - .navbar.is-black .navbar-end > a.navbar-item:hover, - .navbar.is-black .navbar-end > a.navbar-item.is-active, - .navbar.is-black .navbar-end .navbar-link:focus, - .navbar.is-black .navbar-end .navbar-link:hover, - .navbar.is-black .navbar-end .navbar-link.is-active { - background-color: black; - color: white; } - .navbar.is-black .navbar-start .navbar-link::after, - .navbar.is-black .navbar-end .navbar-link::after { - border-color: white; } - .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link { - background-color: black; - color: white; } - .navbar.is-black .navbar-dropdown a.navbar-item.is-active { - background-color: #0a0a0a; - color: white; } } - .navbar.is-light { - background-color: whitesmoke; - color: #363636; } - .navbar.is-light .navbar-brand > .navbar-item, - .navbar.is-light .navbar-brand .navbar-link { - color: #363636; } - .navbar.is-light .navbar-brand > a.navbar-item:focus, .navbar.is-light .navbar-brand > a.navbar-item:hover, .navbar.is-light .navbar-brand > a.navbar-item.is-active, - .navbar.is-light .navbar-brand .navbar-link:focus, - .navbar.is-light .navbar-brand .navbar-link:hover, - .navbar.is-light .navbar-brand .navbar-link.is-active { - background-color: #e8e8e8; - color: #363636; } - .navbar.is-light .navbar-brand .navbar-link::after { - border-color: #363636; } - .navbar.is-light .navbar-burger { - color: #363636; } - @media screen and (min-width: 1056px) { - .navbar.is-light .navbar-start > .navbar-item, - .navbar.is-light .navbar-start .navbar-link, - .navbar.is-light .navbar-end > .navbar-item, - .navbar.is-light .navbar-end .navbar-link { - color: #363636; } - .navbar.is-light .navbar-start > a.navbar-item:focus, .navbar.is-light .navbar-start > a.navbar-item:hover, .navbar.is-light .navbar-start > a.navbar-item.is-active, - .navbar.is-light .navbar-start .navbar-link:focus, - .navbar.is-light .navbar-start .navbar-link:hover, - .navbar.is-light .navbar-start .navbar-link.is-active, - .navbar.is-light .navbar-end > a.navbar-item:focus, - .navbar.is-light .navbar-end > a.navbar-item:hover, - .navbar.is-light .navbar-end > a.navbar-item.is-active, - .navbar.is-light .navbar-end .navbar-link:focus, - .navbar.is-light .navbar-end .navbar-link:hover, - .navbar.is-light .navbar-end .navbar-link.is-active { - background-color: #e8e8e8; - color: #363636; } - .navbar.is-light .navbar-start .navbar-link::after, - .navbar.is-light .navbar-end .navbar-link::after { - border-color: #363636; } - .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #e8e8e8; - color: #363636; } - .navbar.is-light .navbar-dropdown a.navbar-item.is-active { - background-color: whitesmoke; - color: #363636; } } - .navbar.is-dark, .content kbd.navbar { - background-color: #363636; - color: whitesmoke; } - .navbar.is-dark .navbar-brand > .navbar-item, .content kbd.navbar .navbar-brand > .navbar-item, - .navbar.is-dark .navbar-brand .navbar-link, - .content kbd.navbar .navbar-brand .navbar-link { - color: whitesmoke; } - .navbar.is-dark .navbar-brand > a.navbar-item:focus, .content kbd.navbar .navbar-brand > a.navbar-item:focus, .navbar.is-dark .navbar-brand > a.navbar-item:hover, .content kbd.navbar .navbar-brand > a.navbar-item:hover, .navbar.is-dark .navbar-brand > a.navbar-item.is-active, .content kbd.navbar .navbar-brand > a.navbar-item.is-active, - .navbar.is-dark .navbar-brand .navbar-link:focus, - .content kbd.navbar .navbar-brand .navbar-link:focus, - .navbar.is-dark .navbar-brand .navbar-link:hover, - .content kbd.navbar .navbar-brand .navbar-link:hover, - .navbar.is-dark .navbar-brand .navbar-link.is-active, - .content kbd.navbar .navbar-brand .navbar-link.is-active { - background-color: #292929; - color: whitesmoke; } - .navbar.is-dark .navbar-brand .navbar-link::after, .content kbd.navbar .navbar-brand .navbar-link::after { - border-color: whitesmoke; } - .navbar.is-dark .navbar-burger, .content kbd.navbar .navbar-burger { - color: whitesmoke; } - @media screen and (min-width: 1056px) { - .navbar.is-dark .navbar-start > .navbar-item, .content kbd.navbar .navbar-start > .navbar-item, - .navbar.is-dark .navbar-start .navbar-link, - .content kbd.navbar .navbar-start .navbar-link, - .navbar.is-dark .navbar-end > .navbar-item, - .content kbd.navbar .navbar-end > .navbar-item, - .navbar.is-dark .navbar-end .navbar-link, - .content kbd.navbar .navbar-end .navbar-link { - color: whitesmoke; } - .navbar.is-dark .navbar-start > a.navbar-item:focus, .content kbd.navbar .navbar-start > a.navbar-item:focus, .navbar.is-dark .navbar-start > a.navbar-item:hover, .content kbd.navbar .navbar-start > a.navbar-item:hover, .navbar.is-dark .navbar-start > a.navbar-item.is-active, .content kbd.navbar .navbar-start > a.navbar-item.is-active, - .navbar.is-dark .navbar-start .navbar-link:focus, - .content kbd.navbar .navbar-start .navbar-link:focus, - .navbar.is-dark .navbar-start .navbar-link:hover, - .content kbd.navbar .navbar-start .navbar-link:hover, - .navbar.is-dark .navbar-start .navbar-link.is-active, - .content kbd.navbar .navbar-start .navbar-link.is-active, - .navbar.is-dark .navbar-end > a.navbar-item:focus, - .content kbd.navbar .navbar-end > a.navbar-item:focus, - .navbar.is-dark .navbar-end > a.navbar-item:hover, - .content kbd.navbar .navbar-end > a.navbar-item:hover, - .navbar.is-dark .navbar-end > a.navbar-item.is-active, - .content kbd.navbar .navbar-end > a.navbar-item.is-active, - .navbar.is-dark .navbar-end .navbar-link:focus, - .content kbd.navbar .navbar-end .navbar-link:focus, - .navbar.is-dark .navbar-end .navbar-link:hover, - .content kbd.navbar .navbar-end .navbar-link:hover, - .navbar.is-dark .navbar-end .navbar-link.is-active, - .content kbd.navbar .navbar-end .navbar-link.is-active { - background-color: #292929; - color: whitesmoke; } - .navbar.is-dark .navbar-start .navbar-link::after, .content kbd.navbar .navbar-start .navbar-link::after, - .navbar.is-dark .navbar-end .navbar-link::after, - .content kbd.navbar .navbar-end .navbar-link::after { - border-color: whitesmoke; } - .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link, - .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link, - .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #292929; - color: whitesmoke; } - .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, .content kbd.navbar .navbar-dropdown a.navbar-item.is-active { - background-color: #363636; - color: whitesmoke; } } - .navbar.is-primary, .docstring > section > a.navbar.docs-sourcelink { - background-color: #4eb5de; - color: #fff; } - .navbar.is-primary .navbar-brand > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item, - .navbar.is-primary .navbar-brand .navbar-link, - .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link { - color: #fff; } - .navbar.is-primary .navbar-brand > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, .navbar.is-primary .navbar-brand > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, .navbar.is-primary .navbar-brand > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active, - .navbar.is-primary .navbar-brand .navbar-link:focus, - .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus, - .navbar.is-primary .navbar-brand .navbar-link:hover, - .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover, - .navbar.is-primary .navbar-brand .navbar-link.is-active, - .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active { - background-color: #39acda; - color: #fff; } - .navbar.is-primary .navbar-brand .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after { - border-color: #fff; } - .navbar.is-primary .navbar-burger, .docstring > section > a.navbar.docs-sourcelink .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - .navbar.is-primary .navbar-start > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item, - .navbar.is-primary .navbar-start .navbar-link, - .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link, - .navbar.is-primary .navbar-end > .navbar-item, - .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item, - .navbar.is-primary .navbar-end .navbar-link, - .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link { - color: #fff; } - .navbar.is-primary .navbar-start > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, .navbar.is-primary .navbar-start > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, .navbar.is-primary .navbar-start > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active, - .navbar.is-primary .navbar-start .navbar-link:focus, - .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus, - .navbar.is-primary .navbar-start .navbar-link:hover, - .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover, - .navbar.is-primary .navbar-start .navbar-link.is-active, - .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active, - .navbar.is-primary .navbar-end > a.navbar-item:focus, - .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus, - .navbar.is-primary .navbar-end > a.navbar-item:hover, - .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover, - .navbar.is-primary .navbar-end > a.navbar-item.is-active, - .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active, - .navbar.is-primary .navbar-end .navbar-link:focus, - .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus, - .navbar.is-primary .navbar-end .navbar-link:hover, - .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover, - .navbar.is-primary .navbar-end .navbar-link.is-active, - .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active { - background-color: #39acda; - color: #fff; } - .navbar.is-primary .navbar-start .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after, - .navbar.is-primary .navbar-end .navbar-link::after, - .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after { - border-color: #fff; } - .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link, - .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link, - .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #39acda; - color: #fff; } - .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active { - background-color: #4eb5de; - color: #fff; } } - .navbar.is-link { - background-color: #2e63b8; - color: #fff; } - .navbar.is-link .navbar-brand > .navbar-item, - .navbar.is-link .navbar-brand .navbar-link { - color: #fff; } - .navbar.is-link .navbar-brand > a.navbar-item:focus, .navbar.is-link .navbar-brand > a.navbar-item:hover, .navbar.is-link .navbar-brand > a.navbar-item.is-active, - .navbar.is-link .navbar-brand .navbar-link:focus, - .navbar.is-link .navbar-brand .navbar-link:hover, - .navbar.is-link .navbar-brand .navbar-link.is-active { - background-color: #2958a4; - color: #fff; } - .navbar.is-link .navbar-brand .navbar-link::after { - border-color: #fff; } - .navbar.is-link .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - .navbar.is-link .navbar-start > .navbar-item, - .navbar.is-link .navbar-start .navbar-link, - .navbar.is-link .navbar-end > .navbar-item, - .navbar.is-link .navbar-end .navbar-link { - color: #fff; } - .navbar.is-link .navbar-start > a.navbar-item:focus, .navbar.is-link .navbar-start > a.navbar-item:hover, .navbar.is-link .navbar-start > a.navbar-item.is-active, - .navbar.is-link .navbar-start .navbar-link:focus, - .navbar.is-link .navbar-start .navbar-link:hover, - .navbar.is-link .navbar-start .navbar-link.is-active, - .navbar.is-link .navbar-end > a.navbar-item:focus, - .navbar.is-link .navbar-end > a.navbar-item:hover, - .navbar.is-link .navbar-end > a.navbar-item.is-active, - .navbar.is-link .navbar-end .navbar-link:focus, - .navbar.is-link .navbar-end .navbar-link:hover, - .navbar.is-link .navbar-end .navbar-link.is-active { - background-color: #2958a4; - color: #fff; } - .navbar.is-link .navbar-start .navbar-link::after, - .navbar.is-link .navbar-end .navbar-link::after { - border-color: #fff; } - .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #2958a4; - color: #fff; } - .navbar.is-link .navbar-dropdown a.navbar-item.is-active { - background-color: #2e63b8; - color: #fff; } } - .navbar.is-info { - background-color: #209cee; - color: #fff; } - .navbar.is-info .navbar-brand > .navbar-item, - .navbar.is-info .navbar-brand .navbar-link { - color: #fff; } - .navbar.is-info .navbar-brand > a.navbar-item:focus, .navbar.is-info .navbar-brand > a.navbar-item:hover, .navbar.is-info .navbar-brand > a.navbar-item.is-active, - .navbar.is-info .navbar-brand .navbar-link:focus, - .navbar.is-info .navbar-brand .navbar-link:hover, - .navbar.is-info .navbar-brand .navbar-link.is-active { - background-color: #1190e3; - color: #fff; } - .navbar.is-info .navbar-brand .navbar-link::after { - border-color: #fff; } - .navbar.is-info .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - .navbar.is-info .navbar-start > .navbar-item, - .navbar.is-info .navbar-start .navbar-link, - .navbar.is-info .navbar-end > .navbar-item, - .navbar.is-info .navbar-end .navbar-link { - color: #fff; } - .navbar.is-info .navbar-start > a.navbar-item:focus, .navbar.is-info .navbar-start > a.navbar-item:hover, .navbar.is-info .navbar-start > a.navbar-item.is-active, - .navbar.is-info .navbar-start .navbar-link:focus, - .navbar.is-info .navbar-start .navbar-link:hover, - .navbar.is-info .navbar-start .navbar-link.is-active, - .navbar.is-info .navbar-end > a.navbar-item:focus, - .navbar.is-info .navbar-end > a.navbar-item:hover, - .navbar.is-info .navbar-end > a.navbar-item.is-active, - .navbar.is-info .navbar-end .navbar-link:focus, - .navbar.is-info .navbar-end .navbar-link:hover, - .navbar.is-info .navbar-end .navbar-link.is-active { - background-color: #1190e3; - color: #fff; } - .navbar.is-info .navbar-start .navbar-link::after, - .navbar.is-info .navbar-end .navbar-link::after { - border-color: #fff; } - .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #1190e3; - color: #fff; } - .navbar.is-info .navbar-dropdown a.navbar-item.is-active { - background-color: #209cee; - color: #fff; } } - .navbar.is-success { - background-color: #22c35b; - color: #fff; } - .navbar.is-success .navbar-brand > .navbar-item, - .navbar.is-success .navbar-brand .navbar-link { - color: #fff; } - .navbar.is-success .navbar-brand > a.navbar-item:focus, .navbar.is-success .navbar-brand > a.navbar-item:hover, .navbar.is-success .navbar-brand > a.navbar-item.is-active, - .navbar.is-success .navbar-brand .navbar-link:focus, - .navbar.is-success .navbar-brand .navbar-link:hover, - .navbar.is-success .navbar-brand .navbar-link.is-active { - background-color: #1ead51; - color: #fff; } - .navbar.is-success .navbar-brand .navbar-link::after { - border-color: #fff; } - .navbar.is-success .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - .navbar.is-success .navbar-start > .navbar-item, - .navbar.is-success .navbar-start .navbar-link, - .navbar.is-success .navbar-end > .navbar-item, - .navbar.is-success .navbar-end .navbar-link { - color: #fff; } - .navbar.is-success .navbar-start > a.navbar-item:focus, .navbar.is-success .navbar-start > a.navbar-item:hover, .navbar.is-success .navbar-start > a.navbar-item.is-active, - .navbar.is-success .navbar-start .navbar-link:focus, - .navbar.is-success .navbar-start .navbar-link:hover, - .navbar.is-success .navbar-start .navbar-link.is-active, - .navbar.is-success .navbar-end > a.navbar-item:focus, - .navbar.is-success .navbar-end > a.navbar-item:hover, - .navbar.is-success .navbar-end > a.navbar-item.is-active, - .navbar.is-success .navbar-end .navbar-link:focus, - .navbar.is-success .navbar-end .navbar-link:hover, - .navbar.is-success .navbar-end .navbar-link.is-active { - background-color: #1ead51; - color: #fff; } - .navbar.is-success .navbar-start .navbar-link::after, - .navbar.is-success .navbar-end .navbar-link::after { - border-color: #fff; } - .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #1ead51; - color: #fff; } - .navbar.is-success .navbar-dropdown a.navbar-item.is-active { - background-color: #22c35b; - color: #fff; } } - .navbar.is-warning { - background-color: #ffdd57; - color: rgba(0, 0, 0, 0.7); } - .navbar.is-warning .navbar-brand > .navbar-item, - .navbar.is-warning .navbar-brand .navbar-link { - color: rgba(0, 0, 0, 0.7); } - .navbar.is-warning .navbar-brand > a.navbar-item:focus, .navbar.is-warning .navbar-brand > a.navbar-item:hover, .navbar.is-warning .navbar-brand > a.navbar-item.is-active, - .navbar.is-warning .navbar-brand .navbar-link:focus, - .navbar.is-warning .navbar-brand .navbar-link:hover, - .navbar.is-warning .navbar-brand .navbar-link.is-active { - background-color: #ffd83e; - color: rgba(0, 0, 0, 0.7); } - .navbar.is-warning .navbar-brand .navbar-link::after { - border-color: rgba(0, 0, 0, 0.7); } - .navbar.is-warning .navbar-burger { - color: rgba(0, 0, 0, 0.7); } - @media screen and (min-width: 1056px) { - .navbar.is-warning .navbar-start > .navbar-item, - .navbar.is-warning .navbar-start .navbar-link, - .navbar.is-warning .navbar-end > .navbar-item, - .navbar.is-warning .navbar-end .navbar-link { - color: rgba(0, 0, 0, 0.7); } - .navbar.is-warning .navbar-start > a.navbar-item:focus, .navbar.is-warning .navbar-start > a.navbar-item:hover, .navbar.is-warning .navbar-start > a.navbar-item.is-active, - .navbar.is-warning .navbar-start .navbar-link:focus, - .navbar.is-warning .navbar-start .navbar-link:hover, - .navbar.is-warning .navbar-start .navbar-link.is-active, - .navbar.is-warning .navbar-end > a.navbar-item:focus, - .navbar.is-warning .navbar-end > a.navbar-item:hover, - .navbar.is-warning .navbar-end > a.navbar-item.is-active, - .navbar.is-warning .navbar-end .navbar-link:focus, - .navbar.is-warning .navbar-end .navbar-link:hover, - .navbar.is-warning .navbar-end .navbar-link.is-active { - background-color: #ffd83e; - color: rgba(0, 0, 0, 0.7); } - .navbar.is-warning .navbar-start .navbar-link::after, - .navbar.is-warning .navbar-end .navbar-link::after { - border-color: rgba(0, 0, 0, 0.7); } - .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #ffd83e; - color: rgba(0, 0, 0, 0.7); } - .navbar.is-warning .navbar-dropdown a.navbar-item.is-active { - background-color: #ffdd57; - color: rgba(0, 0, 0, 0.7); } } - .navbar.is-danger { - background-color: #da0b00; - color: #fff; } - .navbar.is-danger .navbar-brand > .navbar-item, - .navbar.is-danger .navbar-brand .navbar-link { - color: #fff; } - .navbar.is-danger .navbar-brand > a.navbar-item:focus, .navbar.is-danger .navbar-brand > a.navbar-item:hover, .navbar.is-danger .navbar-brand > a.navbar-item.is-active, - .navbar.is-danger .navbar-brand .navbar-link:focus, - .navbar.is-danger .navbar-brand .navbar-link:hover, - .navbar.is-danger .navbar-brand .navbar-link.is-active { - background-color: #c10a00; - color: #fff; } - .navbar.is-danger .navbar-brand .navbar-link::after { - border-color: #fff; } - .navbar.is-danger .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - .navbar.is-danger .navbar-start > .navbar-item, - .navbar.is-danger .navbar-start .navbar-link, - .navbar.is-danger .navbar-end > .navbar-item, - .navbar.is-danger .navbar-end .navbar-link { - color: #fff; } - .navbar.is-danger .navbar-start > a.navbar-item:focus, .navbar.is-danger .navbar-start > a.navbar-item:hover, .navbar.is-danger .navbar-start > a.navbar-item.is-active, - .navbar.is-danger .navbar-start .navbar-link:focus, - .navbar.is-danger .navbar-start .navbar-link:hover, - .navbar.is-danger .navbar-start .navbar-link.is-active, - .navbar.is-danger .navbar-end > a.navbar-item:focus, - .navbar.is-danger .navbar-end > a.navbar-item:hover, - .navbar.is-danger .navbar-end > a.navbar-item.is-active, - .navbar.is-danger .navbar-end .navbar-link:focus, - .navbar.is-danger .navbar-end .navbar-link:hover, - .navbar.is-danger .navbar-end .navbar-link.is-active { - background-color: #c10a00; - color: #fff; } - .navbar.is-danger .navbar-start .navbar-link::after, - .navbar.is-danger .navbar-end .navbar-link::after { - border-color: #fff; } - .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #c10a00; - color: #fff; } - .navbar.is-danger .navbar-dropdown a.navbar-item.is-active { - background-color: #da0b00; - color: #fff; } } - .navbar > .container { - align-items: stretch; - display: flex; - min-height: 3.25rem; - width: 100%; } - .navbar.has-shadow { - box-shadow: 0 2px 0 0 whitesmoke; } - .navbar.is-fixed-bottom, .navbar.is-fixed-top { - left: 0; - position: fixed; - right: 0; - z-index: 30; } - .navbar.is-fixed-bottom { - bottom: 0; } - .navbar.is-fixed-bottom.has-shadow { - box-shadow: 0 -2px 0 0 whitesmoke; } - .navbar.is-fixed-top { - top: 0; } - -html.has-navbar-fixed-top, -body.has-navbar-fixed-top { - padding-top: 3.25rem; } - -html.has-navbar-fixed-bottom, -body.has-navbar-fixed-bottom { - padding-bottom: 3.25rem; } - -.navbar-brand, -.navbar-tabs { - align-items: stretch; - display: flex; - flex-shrink: 0; - min-height: 3.25rem; } - -.navbar-brand a.navbar-item:focus, .navbar-brand a.navbar-item:hover { - background-color: transparent; } - -.navbar-tabs { - -webkit-overflow-scrolling: touch; - max-width: 100vw; - overflow-x: auto; - overflow-y: hidden; } - -.navbar-burger { - color: #4a4a4a; - cursor: pointer; - display: block; - height: 3.25rem; - position: relative; - width: 3.25rem; - margin-left: auto; } - .navbar-burger span { - background-color: currentColor; - display: block; - height: 1px; - left: calc(50% - 8px); - position: absolute; - transform-origin: center; - transition-duration: 86ms; - transition-property: background-color, opacity, transform; - transition-timing-function: ease-out; - width: 16px; } - .navbar-burger span:nth-child(1) { - top: calc(50% - 6px); } - .navbar-burger span:nth-child(2) { - top: calc(50% - 1px); } - .navbar-burger span:nth-child(3) { - top: calc(50% + 4px); } - .navbar-burger:hover { - background-color: rgba(0, 0, 0, 0.05); } - .navbar-burger.is-active span:nth-child(1) { - transform: translateY(5px) rotate(45deg); } - .navbar-burger.is-active span:nth-child(2) { - opacity: 0; } - .navbar-burger.is-active span:nth-child(3) { - transform: translateY(-5px) rotate(-45deg); } - -.navbar-menu { - display: none; } - -.navbar-item, -.navbar-link { - color: #4a4a4a; - display: block; - line-height: 1.5; - padding: 0.5rem 0.75rem; - position: relative; } - .navbar-item .icon:only-child, - .navbar-link .icon:only-child { - margin-left: -0.25rem; - margin-right: -0.25rem; } - -a.navbar-item, -.navbar-link { - cursor: pointer; } - a.navbar-item:focus, a.navbar-item:focus-within, a.navbar-item:hover, a.navbar-item.is-active, - .navbar-link:focus, - .navbar-link:focus-within, - .navbar-link:hover, - .navbar-link.is-active { - background-color: #fafafa; - color: #2e63b8; } - -.navbar-item { - display: block; - flex-grow: 0; - flex-shrink: 0; } - .navbar-item img { - max-height: 1.75rem; } - .navbar-item.has-dropdown { - padding: 0; } - .navbar-item.is-expanded { - flex-grow: 1; - flex-shrink: 1; } - .navbar-item.is-tab { - border-bottom: 1px solid transparent; - min-height: 3.25rem; - padding-bottom: calc(0.5rem - 1px); } - .navbar-item.is-tab:focus, .navbar-item.is-tab:hover { - background-color: transparent; - border-bottom-color: #2e63b8; } - .navbar-item.is-tab.is-active { - background-color: transparent; - border-bottom-color: #2e63b8; - border-bottom-style: solid; - border-bottom-width: 3px; - color: #2e63b8; - padding-bottom: calc(0.5rem - 3px); } - -.navbar-content { - flex-grow: 1; - flex-shrink: 1; } - -.navbar-link:not(.is-arrowless) { - padding-right: 2.5em; } - .navbar-link:not(.is-arrowless)::after { - border-color: #2e63b8; - margin-top: -0.375em; - right: 1.125em; } - -.navbar-dropdown { - font-size: 0.875rem; - padding-bottom: 0.5rem; - padding-top: 0.5rem; } - .navbar-dropdown .navbar-item { - padding-left: 1.5rem; - padding-right: 1.5rem; } - -.navbar-divider { - background-color: whitesmoke; - border: none; - display: none; - height: 2px; - margin: 0.5rem 0; } - -@media screen and (max-width: 1055px) { - .navbar > .container { - display: block; } - .navbar-brand .navbar-item, - .navbar-tabs .navbar-item { - align-items: center; - display: flex; } - .navbar-link::after { - display: none; } - .navbar-menu { - background-color: white; - box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1); - padding: 0.5rem 0; } - .navbar-menu.is-active { - display: block; } - .navbar.is-fixed-bottom-touch, .navbar.is-fixed-top-touch { - left: 0; - position: fixed; - right: 0; - z-index: 30; } - .navbar.is-fixed-bottom-touch { - bottom: 0; } - .navbar.is-fixed-bottom-touch.has-shadow { - box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); } - .navbar.is-fixed-top-touch { - top: 0; } - .navbar.is-fixed-top .navbar-menu, .navbar.is-fixed-top-touch .navbar-menu { - -webkit-overflow-scrolling: touch; - max-height: calc(100vh - 3.25rem); - overflow: auto; } - html.has-navbar-fixed-top-touch, - body.has-navbar-fixed-top-touch { - padding-top: 3.25rem; } - html.has-navbar-fixed-bottom-touch, - body.has-navbar-fixed-bottom-touch { - padding-bottom: 3.25rem; } } - -@media screen and (min-width: 1056px) { - .navbar, - .navbar-menu, - .navbar-start, - .navbar-end { - align-items: stretch; - display: flex; } - .navbar { - min-height: 3.25rem; } - .navbar.is-spaced { - padding: 1rem 2rem; } - .navbar.is-spaced .navbar-start, - .navbar.is-spaced .navbar-end { - align-items: center; } - .navbar.is-spaced a.navbar-item, - .navbar.is-spaced .navbar-link { - border-radius: 4px; } - .navbar.is-transparent a.navbar-item:focus, .navbar.is-transparent a.navbar-item:hover, .navbar.is-transparent a.navbar-item.is-active, - .navbar.is-transparent .navbar-link:focus, - .navbar.is-transparent .navbar-link:hover, - .navbar.is-transparent .navbar-link.is-active { - background-color: transparent !important; } - .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link { - background-color: transparent !important; } - .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, .navbar.is-transparent .navbar-dropdown a.navbar-item:hover { - background-color: whitesmoke; - color: #0a0a0a; } - .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active { - background-color: whitesmoke; - color: #2e63b8; } - .navbar-burger { - display: none; } - .navbar-item, - .navbar-link { - align-items: center; - display: flex; } - .navbar-item { - display: flex; } - .navbar-item.has-dropdown { - align-items: stretch; } - .navbar-item.has-dropdown-up .navbar-link::after { - transform: rotate(135deg) translate(0.25em, -0.25em); } - .navbar-item.has-dropdown-up .navbar-dropdown { - border-bottom: 2px solid #dbdbdb; - border-radius: 6px 6px 0 0; - border-top: none; - bottom: 100%; - box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1); - top: auto; } - .navbar-item.is-active .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown { - display: block; } - .navbar.is-spaced .navbar-item.is-active .navbar-dropdown, .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:hover .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed { - opacity: 1; - pointer-events: auto; - transform: translateY(0); } - .navbar-menu { - flex-grow: 1; - flex-shrink: 0; } - .navbar-start { - justify-content: flex-start; - margin-right: auto; } - .navbar-end { - justify-content: flex-end; - margin-left: auto; } - .navbar-dropdown { - background-color: white; - border-bottom-left-radius: 6px; - border-bottom-right-radius: 6px; - border-top: 2px solid #dbdbdb; - box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1); - display: none; - font-size: 0.875rem; - left: 0; - min-width: 100%; - position: absolute; - top: 100%; - z-index: 20; } - .navbar-dropdown .navbar-item { - padding: 0.375rem 1rem; - white-space: nowrap; } - .navbar-dropdown a.navbar-item { - padding-right: 3rem; } - .navbar-dropdown a.navbar-item:focus, .navbar-dropdown a.navbar-item:hover { - background-color: whitesmoke; - color: #0a0a0a; } - .navbar-dropdown a.navbar-item.is-active { - background-color: whitesmoke; - color: #2e63b8; } - .navbar.is-spaced .navbar-dropdown, .navbar-dropdown.is-boxed { - border-radius: 6px; - border-top: none; - box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); - display: block; - opacity: 0; - pointer-events: none; - top: calc(100% + (-4px)); - transform: translateY(-5px); - transition-duration: 86ms; - transition-property: opacity, transform; } - .navbar-dropdown.is-right { - left: auto; - right: 0; } - .navbar-divider { - display: block; } - .navbar > .container .navbar-brand, - .container > .navbar .navbar-brand { - margin-left: -.75rem; } - .navbar > .container .navbar-menu, - .container > .navbar .navbar-menu { - margin-right: -.75rem; } - .navbar.is-fixed-bottom-desktop, .navbar.is-fixed-top-desktop { - left: 0; - position: fixed; - right: 0; - z-index: 30; } - .navbar.is-fixed-bottom-desktop { - bottom: 0; } - .navbar.is-fixed-bottom-desktop.has-shadow { - box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); } - .navbar.is-fixed-top-desktop { - top: 0; } - html.has-navbar-fixed-top-desktop, - body.has-navbar-fixed-top-desktop { - padding-top: 3.25rem; } - html.has-navbar-fixed-bottom-desktop, - body.has-navbar-fixed-bottom-desktop { - padding-bottom: 3.25rem; } - html.has-spaced-navbar-fixed-top, - body.has-spaced-navbar-fixed-top { - padding-top: 5.25rem; } - html.has-spaced-navbar-fixed-bottom, - body.has-spaced-navbar-fixed-bottom { - padding-bottom: 5.25rem; } - a.navbar-item.is-active, - .navbar-link.is-active { - color: #0a0a0a; } - a.navbar-item.is-active:not(:focus):not(:hover), - .navbar-link.is-active:not(:focus):not(:hover) { - background-color: transparent; } - .navbar-item.has-dropdown:focus .navbar-link, .navbar-item.has-dropdown:hover .navbar-link, .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #fafafa; } } - -.hero.is-fullheight-with-navbar { - min-height: calc(100vh - 3.25rem); } - -.pagination { - font-size: 1rem; - margin: -0.25rem; } - .pagination.is-small, #documenter .docs-sidebar form.docs-search > input.pagination { - font-size: 0.75rem; } - .pagination.is-medium { - font-size: 1.25rem; } - .pagination.is-large { - font-size: 1.5rem; } - .pagination.is-rounded .pagination-previous, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous, - .pagination.is-rounded .pagination-next, - #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next { - padding-left: 1em; - padding-right: 1em; - border-radius: 290486px; } - .pagination.is-rounded .pagination-link, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link { - border-radius: 290486px; } - -.pagination, -.pagination-list { - align-items: center; - display: flex; - justify-content: center; - text-align: center; } - -.pagination-previous, -.pagination-next, -.pagination-link, -.pagination-ellipsis { - font-size: 1em; - justify-content: center; - margin: 0.25rem; - padding-left: 0.5em; - padding-right: 0.5em; - text-align: center; } - -.pagination-previous, -.pagination-next, -.pagination-link { - border-color: #dbdbdb; - color: #363636; - min-width: 2.25em; } - .pagination-previous:hover, - .pagination-next:hover, - .pagination-link:hover { - border-color: #b5b5b5; - color: #363636; } - .pagination-previous:focus, - .pagination-next:focus, - .pagination-link:focus { - border-color: #3c5dcd; } - .pagination-previous:active, - .pagination-next:active, - .pagination-link:active { - box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); } - .pagination-previous[disabled], - .pagination-next[disabled], - .pagination-link[disabled] { - background-color: #dbdbdb; - border-color: #dbdbdb; - box-shadow: none; - color: #6b6b6b; - opacity: 0.5; } - -.pagination-previous, -.pagination-next { - padding-left: 0.75em; - padding-right: 0.75em; - white-space: nowrap; } - -.pagination-link.is-current { - background-color: #2e63b8; - border-color: #2e63b8; - color: #fff; } - -.pagination-ellipsis { - color: #b5b5b5; - pointer-events: none; } - -.pagination-list { - flex-wrap: wrap; } - -@media screen and (max-width: 768px) { - .pagination { - flex-wrap: wrap; } - .pagination-previous, - .pagination-next { - flex-grow: 1; - flex-shrink: 1; } - .pagination-list li { - flex-grow: 1; - flex-shrink: 1; } } - -@media screen and (min-width: 769px), print { - .pagination-list { - flex-grow: 1; - flex-shrink: 1; - justify-content: flex-start; - order: 1; } - .pagination-previous { - order: 2; } - .pagination-next { - order: 3; } - .pagination { - justify-content: space-between; } - .pagination.is-centered .pagination-previous { - order: 1; } - .pagination.is-centered .pagination-list { - justify-content: center; - order: 2; } - .pagination.is-centered .pagination-next { - order: 3; } - .pagination.is-right .pagination-previous { - order: 1; } - .pagination.is-right .pagination-next { - order: 2; } - .pagination.is-right .pagination-list { - justify-content: flex-end; - order: 3; } } - -.panel { - font-size: 1rem; } - .panel:not(:last-child) { - margin-bottom: 1.5rem; } - -.panel-heading, -.panel-tabs, -.panel-block { - border-bottom: 1px solid #dbdbdb; - border-left: 1px solid #dbdbdb; - border-right: 1px solid #dbdbdb; } - .panel-heading:first-child, - .panel-tabs:first-child, - .panel-block:first-child { - border-top: 1px solid #dbdbdb; } - -.panel-heading { - background-color: whitesmoke; - border-radius: 4px 4px 0 0; - color: #222222; - font-size: 1.25em; - font-weight: 300; - line-height: 1.25; - padding: 0.5em 0.75em; } - -.panel-tabs { - align-items: flex-end; - display: flex; - font-size: 0.875em; - justify-content: center; } - .panel-tabs a { - border-bottom: 1px solid #dbdbdb; - margin-bottom: -1px; - padding: 0.5em; } - .panel-tabs a.is-active { - border-bottom-color: #4a4a4a; - color: #363636; } - -.panel-list a { - color: #222222; } - .panel-list a:hover { - color: #2e63b8; } - -.panel-block { - align-items: center; - color: #222222; - display: flex; - justify-content: flex-start; - padding: 0.5em 0.75em; } - .panel-block input[type="checkbox"] { - margin-right: 0.75em; } - .panel-block > .control { - flex-grow: 1; - flex-shrink: 1; - width: 100%; } - .panel-block.is-wrapped { - flex-wrap: wrap; } - .panel-block.is-active { - border-left-color: #2e63b8; - color: #363636; } - .panel-block.is-active .panel-icon { - color: #2e63b8; } - -a.panel-block, -label.panel-block { - cursor: pointer; } - a.panel-block:hover, - label.panel-block:hover { - background-color: whitesmoke; } - -.panel-icon { - display: inline-block; - font-size: 14px; - height: 1em; - line-height: 1em; - text-align: center; - vertical-align: top; - width: 1em; - color: #6b6b6b; - margin-right: 0.75em; } - .panel-icon .fa { - font-size: inherit; - line-height: inherit; } - -.tabs { - -webkit-overflow-scrolling: touch; - align-items: stretch; - display: flex; - font-size: 1rem; - justify-content: space-between; - overflow: hidden; - overflow-x: auto; - white-space: nowrap; } - .tabs a { - align-items: center; - border-bottom-color: #dbdbdb; - border-bottom-style: solid; - border-bottom-width: 1px; - color: #222222; - display: flex; - justify-content: center; - margin-bottom: -1px; - padding: 0.5em 1em; - vertical-align: top; } - .tabs a:hover { - border-bottom-color: #222222; - color: #222222; } - .tabs li { - display: block; } - .tabs li.is-active a { - border-bottom-color: #2e63b8; - color: #2e63b8; } - .tabs ul { - align-items: center; - border-bottom-color: #dbdbdb; - border-bottom-style: solid; - border-bottom-width: 1px; - display: flex; - flex-grow: 1; - flex-shrink: 0; - justify-content: flex-start; } - .tabs ul.is-left { - padding-right: 0.75em; } - .tabs ul.is-center { - flex: none; - justify-content: center; - padding-left: 0.75em; - padding-right: 0.75em; } - .tabs ul.is-right { - justify-content: flex-end; - padding-left: 0.75em; } - .tabs .icon:first-child { - margin-right: 0.5em; } - .tabs .icon:last-child { - margin-left: 0.5em; } - .tabs.is-centered ul { - justify-content: center; } - .tabs.is-right ul { - justify-content: flex-end; } - .tabs.is-boxed a { - border: 1px solid transparent; - border-radius: 4px 4px 0 0; } - .tabs.is-boxed a:hover { - background-color: whitesmoke; - border-bottom-color: #dbdbdb; } - .tabs.is-boxed li.is-active a { - background-color: white; - border-color: #dbdbdb; - border-bottom-color: transparent !important; } - .tabs.is-fullwidth li { - flex-grow: 1; - flex-shrink: 0; } - .tabs.is-toggle a { - border-color: #dbdbdb; - border-style: solid; - border-width: 1px; - margin-bottom: 0; - position: relative; } - .tabs.is-toggle a:hover { - background-color: whitesmoke; - border-color: #b5b5b5; - z-index: 2; } - .tabs.is-toggle li + li { - margin-left: -1px; } - .tabs.is-toggle li:first-child a { - border-radius: 4px 0 0 4px; } - .tabs.is-toggle li:last-child a { - border-radius: 0 4px 4px 0; } - .tabs.is-toggle li.is-active a { - background-color: #2e63b8; - border-color: #2e63b8; - color: #fff; - z-index: 1; } - .tabs.is-toggle ul { - border-bottom: none; } - .tabs.is-toggle.is-toggle-rounded li:first-child a { - border-bottom-left-radius: 290486px; - border-top-left-radius: 290486px; - padding-left: 1.25em; } - .tabs.is-toggle.is-toggle-rounded li:last-child a { - border-bottom-right-radius: 290486px; - border-top-right-radius: 290486px; - padding-right: 1.25em; } - .tabs.is-small, #documenter .docs-sidebar form.docs-search > input.tabs { - font-size: 0.75rem; } - .tabs.is-medium { - font-size: 1.25rem; } - .tabs.is-large { - font-size: 1.5rem; } - -.column { - display: block; - flex-basis: 0; - flex-grow: 1; - flex-shrink: 1; - padding: 0.75rem; } - .columns.is-mobile > .column.is-narrow { - flex: none; } - .columns.is-mobile > .column.is-full { - flex: none; - width: 100%; } - .columns.is-mobile > .column.is-three-quarters { - flex: none; - width: 75%; } - .columns.is-mobile > .column.is-two-thirds { - flex: none; - width: 66.6666%; } - .columns.is-mobile > .column.is-half { - flex: none; - width: 50%; } - .columns.is-mobile > .column.is-one-third { - flex: none; - width: 33.3333%; } - .columns.is-mobile > .column.is-one-quarter { - flex: none; - width: 25%; } - .columns.is-mobile > .column.is-one-fifth { - flex: none; - width: 20%; } - .columns.is-mobile > .column.is-two-fifths { - flex: none; - width: 40%; } - .columns.is-mobile > .column.is-three-fifths { - flex: none; - width: 60%; } - .columns.is-mobile > .column.is-four-fifths { - flex: none; - width: 80%; } - .columns.is-mobile > .column.is-offset-three-quarters { - margin-left: 75%; } - .columns.is-mobile > .column.is-offset-two-thirds { - margin-left: 66.6666%; } - .columns.is-mobile > .column.is-offset-half { - margin-left: 50%; } - .columns.is-mobile > .column.is-offset-one-third { - margin-left: 33.3333%; } - .columns.is-mobile > .column.is-offset-one-quarter { - margin-left: 25%; } - .columns.is-mobile > .column.is-offset-one-fifth { - margin-left: 20%; } - .columns.is-mobile > .column.is-offset-two-fifths { - margin-left: 40%; } - .columns.is-mobile > .column.is-offset-three-fifths { - margin-left: 60%; } - .columns.is-mobile > .column.is-offset-four-fifths { - margin-left: 80%; } - .columns.is-mobile > .column.is-0 { - flex: none; - width: 0%; } - .columns.is-mobile > .column.is-offset-0 { - margin-left: 0%; } - .columns.is-mobile > .column.is-1 { - flex: none; - width: 8.3333333333%; } - .columns.is-mobile > .column.is-offset-1 { - margin-left: 8.3333333333%; } - .columns.is-mobile > .column.is-2 { - flex: none; - width: 16.6666666667%; } - .columns.is-mobile > .column.is-offset-2 { - margin-left: 16.6666666667%; } - .columns.is-mobile > .column.is-3 { - flex: none; - width: 25%; } - .columns.is-mobile > .column.is-offset-3 { - margin-left: 25%; } - .columns.is-mobile > .column.is-4 { - flex: none; - width: 33.3333333333%; } - .columns.is-mobile > .column.is-offset-4 { - margin-left: 33.3333333333%; } - .columns.is-mobile > .column.is-5 { - flex: none; - width: 41.6666666667%; } - .columns.is-mobile > .column.is-offset-5 { - margin-left: 41.6666666667%; } - .columns.is-mobile > .column.is-6 { - flex: none; - width: 50%; } - .columns.is-mobile > .column.is-offset-6 { - margin-left: 50%; } - .columns.is-mobile > .column.is-7 { - flex: none; - width: 58.3333333333%; } - .columns.is-mobile > .column.is-offset-7 { - margin-left: 58.3333333333%; } - .columns.is-mobile > .column.is-8 { - flex: none; - width: 66.6666666667%; } - .columns.is-mobile > .column.is-offset-8 { - margin-left: 66.6666666667%; } - .columns.is-mobile > .column.is-9 { - flex: none; - width: 75%; } - .columns.is-mobile > .column.is-offset-9 { - margin-left: 75%; } - .columns.is-mobile > .column.is-10 { - flex: none; - width: 83.3333333333%; } - .columns.is-mobile > .column.is-offset-10 { - margin-left: 83.3333333333%; } - .columns.is-mobile > .column.is-11 { - flex: none; - width: 91.6666666667%; } - .columns.is-mobile > .column.is-offset-11 { - margin-left: 91.6666666667%; } - .columns.is-mobile > .column.is-12 { - flex: none; - width: 100%; } - .columns.is-mobile > .column.is-offset-12 { - margin-left: 100%; } - @media screen and (max-width: 768px) { - .column.is-narrow-mobile { - flex: none; } - .column.is-full-mobile { - flex: none; - width: 100%; } - .column.is-three-quarters-mobile { - flex: none; - width: 75%; } - .column.is-two-thirds-mobile { - flex: none; - width: 66.6666%; } - .column.is-half-mobile { - flex: none; - width: 50%; } - .column.is-one-third-mobile { - flex: none; - width: 33.3333%; } - .column.is-one-quarter-mobile { - flex: none; - width: 25%; } - .column.is-one-fifth-mobile { - flex: none; - width: 20%; } - .column.is-two-fifths-mobile { - flex: none; - width: 40%; } - .column.is-three-fifths-mobile { - flex: none; - width: 60%; } - .column.is-four-fifths-mobile { - flex: none; - width: 80%; } - .column.is-offset-three-quarters-mobile { - margin-left: 75%; } - .column.is-offset-two-thirds-mobile { - margin-left: 66.6666%; } - .column.is-offset-half-mobile { - margin-left: 50%; } - .column.is-offset-one-third-mobile { - margin-left: 33.3333%; } - .column.is-offset-one-quarter-mobile { - margin-left: 25%; } - .column.is-offset-one-fifth-mobile { - margin-left: 20%; } - .column.is-offset-two-fifths-mobile { - margin-left: 40%; } - .column.is-offset-three-fifths-mobile { - margin-left: 60%; } - .column.is-offset-four-fifths-mobile { - margin-left: 80%; } - .column.is-0-mobile { - flex: none; - width: 0%; } - .column.is-offset-0-mobile { - margin-left: 0%; } - .column.is-1-mobile { - flex: none; - width: 8.3333333333%; } - .column.is-offset-1-mobile { - margin-left: 8.3333333333%; } - .column.is-2-mobile { - flex: none; - width: 16.6666666667%; } - .column.is-offset-2-mobile { - margin-left: 16.6666666667%; } - .column.is-3-mobile { - flex: none; - width: 25%; } - .column.is-offset-3-mobile { - margin-left: 25%; } - .column.is-4-mobile { - flex: none; - width: 33.3333333333%; } - .column.is-offset-4-mobile { - margin-left: 33.3333333333%; } - .column.is-5-mobile { - flex: none; - width: 41.6666666667%; } - .column.is-offset-5-mobile { - margin-left: 41.6666666667%; } - .column.is-6-mobile { - flex: none; - width: 50%; } - .column.is-offset-6-mobile { - margin-left: 50%; } - .column.is-7-mobile { - flex: none; - width: 58.3333333333%; } - .column.is-offset-7-mobile { - margin-left: 58.3333333333%; } - .column.is-8-mobile { - flex: none; - width: 66.6666666667%; } - .column.is-offset-8-mobile { - margin-left: 66.6666666667%; } - .column.is-9-mobile { - flex: none; - width: 75%; } - .column.is-offset-9-mobile { - margin-left: 75%; } - .column.is-10-mobile { - flex: none; - width: 83.3333333333%; } - .column.is-offset-10-mobile { - margin-left: 83.3333333333%; } - .column.is-11-mobile { - flex: none; - width: 91.6666666667%; } - .column.is-offset-11-mobile { - margin-left: 91.6666666667%; } - .column.is-12-mobile { - flex: none; - width: 100%; } - .column.is-offset-12-mobile { - margin-left: 100%; } } - @media screen and (min-width: 769px), print { - .column.is-narrow, .column.is-narrow-tablet { - flex: none; } - .column.is-full, .column.is-full-tablet { - flex: none; - width: 100%; } - .column.is-three-quarters, .column.is-three-quarters-tablet { - flex: none; - width: 75%; } - .column.is-two-thirds, .column.is-two-thirds-tablet { - flex: none; - width: 66.6666%; } - .column.is-half, .column.is-half-tablet { - flex: none; - width: 50%; } - .column.is-one-third, .column.is-one-third-tablet { - flex: none; - width: 33.3333%; } - .column.is-one-quarter, .column.is-one-quarter-tablet { - flex: none; - width: 25%; } - .column.is-one-fifth, .column.is-one-fifth-tablet { - flex: none; - width: 20%; } - .column.is-two-fifths, .column.is-two-fifths-tablet { - flex: none; - width: 40%; } - .column.is-three-fifths, .column.is-three-fifths-tablet { - flex: none; - width: 60%; } - .column.is-four-fifths, .column.is-four-fifths-tablet { - flex: none; - width: 80%; } - .column.is-offset-three-quarters, .column.is-offset-three-quarters-tablet { - margin-left: 75%; } - .column.is-offset-two-thirds, .column.is-offset-two-thirds-tablet { - margin-left: 66.6666%; } - .column.is-offset-half, .column.is-offset-half-tablet { - margin-left: 50%; } - .column.is-offset-one-third, .column.is-offset-one-third-tablet { - margin-left: 33.3333%; } - .column.is-offset-one-quarter, .column.is-offset-one-quarter-tablet { - margin-left: 25%; } - .column.is-offset-one-fifth, .column.is-offset-one-fifth-tablet { - margin-left: 20%; } - .column.is-offset-two-fifths, .column.is-offset-two-fifths-tablet { - margin-left: 40%; } - .column.is-offset-three-fifths, .column.is-offset-three-fifths-tablet { - margin-left: 60%; } - .column.is-offset-four-fifths, .column.is-offset-four-fifths-tablet { - margin-left: 80%; } - .column.is-0, .column.is-0-tablet { - flex: none; - width: 0%; } - .column.is-offset-0, .column.is-offset-0-tablet { - margin-left: 0%; } - .column.is-1, .column.is-1-tablet { - flex: none; - width: 8.3333333333%; } - .column.is-offset-1, .column.is-offset-1-tablet { - margin-left: 8.3333333333%; } - .column.is-2, .column.is-2-tablet { - flex: none; - width: 16.6666666667%; } - .column.is-offset-2, .column.is-offset-2-tablet { - margin-left: 16.6666666667%; } - .column.is-3, .column.is-3-tablet { - flex: none; - width: 25%; } - .column.is-offset-3, .column.is-offset-3-tablet { - margin-left: 25%; } - .column.is-4, .column.is-4-tablet { - flex: none; - width: 33.3333333333%; } - .column.is-offset-4, .column.is-offset-4-tablet { - margin-left: 33.3333333333%; } - .column.is-5, .column.is-5-tablet { - flex: none; - width: 41.6666666667%; } - .column.is-offset-5, .column.is-offset-5-tablet { - margin-left: 41.6666666667%; } - .column.is-6, .column.is-6-tablet { - flex: none; - width: 50%; } - .column.is-offset-6, .column.is-offset-6-tablet { - margin-left: 50%; } - .column.is-7, .column.is-7-tablet { - flex: none; - width: 58.3333333333%; } - .column.is-offset-7, .column.is-offset-7-tablet { - margin-left: 58.3333333333%; } - .column.is-8, .column.is-8-tablet { - flex: none; - width: 66.6666666667%; } - .column.is-offset-8, .column.is-offset-8-tablet { - margin-left: 66.6666666667%; } - .column.is-9, .column.is-9-tablet { - flex: none; - width: 75%; } - .column.is-offset-9, .column.is-offset-9-tablet { - margin-left: 75%; } - .column.is-10, .column.is-10-tablet { - flex: none; - width: 83.3333333333%; } - .column.is-offset-10, .column.is-offset-10-tablet { - margin-left: 83.3333333333%; } - .column.is-11, .column.is-11-tablet { - flex: none; - width: 91.6666666667%; } - .column.is-offset-11, .column.is-offset-11-tablet { - margin-left: 91.6666666667%; } - .column.is-12, .column.is-12-tablet { - flex: none; - width: 100%; } - .column.is-offset-12, .column.is-offset-12-tablet { - margin-left: 100%; } } - @media screen and (max-width: 1055px) { - .column.is-narrow-touch { - flex: none; } - .column.is-full-touch { - flex: none; - width: 100%; } - .column.is-three-quarters-touch { - flex: none; - width: 75%; } - .column.is-two-thirds-touch { - flex: none; - width: 66.6666%; } - .column.is-half-touch { - flex: none; - width: 50%; } - .column.is-one-third-touch { - flex: none; - width: 33.3333%; } - .column.is-one-quarter-touch { - flex: none; - width: 25%; } - .column.is-one-fifth-touch { - flex: none; - width: 20%; } - .column.is-two-fifths-touch { - flex: none; - width: 40%; } - .column.is-three-fifths-touch { - flex: none; - width: 60%; } - .column.is-four-fifths-touch { - flex: none; - width: 80%; } - .column.is-offset-three-quarters-touch { - margin-left: 75%; } - .column.is-offset-two-thirds-touch { - margin-left: 66.6666%; } - .column.is-offset-half-touch { - margin-left: 50%; } - .column.is-offset-one-third-touch { - margin-left: 33.3333%; } - .column.is-offset-one-quarter-touch { - margin-left: 25%; } - .column.is-offset-one-fifth-touch { - margin-left: 20%; } - .column.is-offset-two-fifths-touch { - margin-left: 40%; } - .column.is-offset-three-fifths-touch { - margin-left: 60%; } - .column.is-offset-four-fifths-touch { - margin-left: 80%; } - .column.is-0-touch { - flex: none; - width: 0%; } - .column.is-offset-0-touch { - margin-left: 0%; } - .column.is-1-touch { - flex: none; - width: 8.3333333333%; } - .column.is-offset-1-touch { - margin-left: 8.3333333333%; } - .column.is-2-touch { - flex: none; - width: 16.6666666667%; } - .column.is-offset-2-touch { - margin-left: 16.6666666667%; } - .column.is-3-touch { - flex: none; - width: 25%; } - .column.is-offset-3-touch { - margin-left: 25%; } - .column.is-4-touch { - flex: none; - width: 33.3333333333%; } - .column.is-offset-4-touch { - margin-left: 33.3333333333%; } - .column.is-5-touch { - flex: none; - width: 41.6666666667%; } - .column.is-offset-5-touch { - margin-left: 41.6666666667%; } - .column.is-6-touch { - flex: none; - width: 50%; } - .column.is-offset-6-touch { - margin-left: 50%; } - .column.is-7-touch { - flex: none; - width: 58.3333333333%; } - .column.is-offset-7-touch { - margin-left: 58.3333333333%; } - .column.is-8-touch { - flex: none; - width: 66.6666666667%; } - .column.is-offset-8-touch { - margin-left: 66.6666666667%; } - .column.is-9-touch { - flex: none; - width: 75%; } - .column.is-offset-9-touch { - margin-left: 75%; } - .column.is-10-touch { - flex: none; - width: 83.3333333333%; } - .column.is-offset-10-touch { - margin-left: 83.3333333333%; } - .column.is-11-touch { - flex: none; - width: 91.6666666667%; } - .column.is-offset-11-touch { - margin-left: 91.6666666667%; } - .column.is-12-touch { - flex: none; - width: 100%; } - .column.is-offset-12-touch { - margin-left: 100%; } } - @media screen and (min-width: 1056px) { - .column.is-narrow-desktop { - flex: none; } - .column.is-full-desktop { - flex: none; - width: 100%; } - .column.is-three-quarters-desktop { - flex: none; - width: 75%; } - .column.is-two-thirds-desktop { - flex: none; - width: 66.6666%; } - .column.is-half-desktop { - flex: none; - width: 50%; } - .column.is-one-third-desktop { - flex: none; - width: 33.3333%; } - .column.is-one-quarter-desktop { - flex: none; - width: 25%; } - .column.is-one-fifth-desktop { - flex: none; - width: 20%; } - .column.is-two-fifths-desktop { - flex: none; - width: 40%; } - .column.is-three-fifths-desktop { - flex: none; - width: 60%; } - .column.is-four-fifths-desktop { - flex: none; - width: 80%; } - .column.is-offset-three-quarters-desktop { - margin-left: 75%; } - .column.is-offset-two-thirds-desktop { - margin-left: 66.6666%; } - .column.is-offset-half-desktop { - margin-left: 50%; } - .column.is-offset-one-third-desktop { - margin-left: 33.3333%; } - .column.is-offset-one-quarter-desktop { - margin-left: 25%; } - .column.is-offset-one-fifth-desktop { - margin-left: 20%; } - .column.is-offset-two-fifths-desktop { - margin-left: 40%; } - .column.is-offset-three-fifths-desktop { - margin-left: 60%; } - .column.is-offset-four-fifths-desktop { - margin-left: 80%; } - .column.is-0-desktop { - flex: none; - width: 0%; } - .column.is-offset-0-desktop { - margin-left: 0%; } - .column.is-1-desktop { - flex: none; - width: 8.3333333333%; } - .column.is-offset-1-desktop { - margin-left: 8.3333333333%; } - .column.is-2-desktop { - flex: none; - width: 16.6666666667%; } - .column.is-offset-2-desktop { - margin-left: 16.6666666667%; } - .column.is-3-desktop { - flex: none; - width: 25%; } - .column.is-offset-3-desktop { - margin-left: 25%; } - .column.is-4-desktop { - flex: none; - width: 33.3333333333%; } - .column.is-offset-4-desktop { - margin-left: 33.3333333333%; } - .column.is-5-desktop { - flex: none; - width: 41.6666666667%; } - .column.is-offset-5-desktop { - margin-left: 41.6666666667%; } - .column.is-6-desktop { - flex: none; - width: 50%; } - .column.is-offset-6-desktop { - margin-left: 50%; } - .column.is-7-desktop { - flex: none; - width: 58.3333333333%; } - .column.is-offset-7-desktop { - margin-left: 58.3333333333%; } - .column.is-8-desktop { - flex: none; - width: 66.6666666667%; } - .column.is-offset-8-desktop { - margin-left: 66.6666666667%; } - .column.is-9-desktop { - flex: none; - width: 75%; } - .column.is-offset-9-desktop { - margin-left: 75%; } - .column.is-10-desktop { - flex: none; - width: 83.3333333333%; } - .column.is-offset-10-desktop { - margin-left: 83.3333333333%; } - .column.is-11-desktop { - flex: none; - width: 91.6666666667%; } - .column.is-offset-11-desktop { - margin-left: 91.6666666667%; } - .column.is-12-desktop { - flex: none; - width: 100%; } - .column.is-offset-12-desktop { - margin-left: 100%; } } - @media screen and (min-width: 1216px) { - .column.is-narrow-widescreen { - flex: none; } - .column.is-full-widescreen { - flex: none; - width: 100%; } - .column.is-three-quarters-widescreen { - flex: none; - width: 75%; } - .column.is-two-thirds-widescreen { - flex: none; - width: 66.6666%; } - .column.is-half-widescreen { - flex: none; - width: 50%; } - .column.is-one-third-widescreen { - flex: none; - width: 33.3333%; } - .column.is-one-quarter-widescreen { - flex: none; - width: 25%; } - .column.is-one-fifth-widescreen { - flex: none; - width: 20%; } - .column.is-two-fifths-widescreen { - flex: none; - width: 40%; } - .column.is-three-fifths-widescreen { - flex: none; - width: 60%; } - .column.is-four-fifths-widescreen { - flex: none; - width: 80%; } - .column.is-offset-three-quarters-widescreen { - margin-left: 75%; } - .column.is-offset-two-thirds-widescreen { - margin-left: 66.6666%; } - .column.is-offset-half-widescreen { - margin-left: 50%; } - .column.is-offset-one-third-widescreen { - margin-left: 33.3333%; } - .column.is-offset-one-quarter-widescreen { - margin-left: 25%; } - .column.is-offset-one-fifth-widescreen { - margin-left: 20%; } - .column.is-offset-two-fifths-widescreen { - margin-left: 40%; } - .column.is-offset-three-fifths-widescreen { - margin-left: 60%; } - .column.is-offset-four-fifths-widescreen { - margin-left: 80%; } - .column.is-0-widescreen { - flex: none; - width: 0%; } - .column.is-offset-0-widescreen { - margin-left: 0%; } - .column.is-1-widescreen { - flex: none; - width: 8.3333333333%; } - .column.is-offset-1-widescreen { - margin-left: 8.3333333333%; } - .column.is-2-widescreen { - flex: none; - width: 16.6666666667%; } - .column.is-offset-2-widescreen { - margin-left: 16.6666666667%; } - .column.is-3-widescreen { - flex: none; - width: 25%; } - .column.is-offset-3-widescreen { - margin-left: 25%; } - .column.is-4-widescreen { - flex: none; - width: 33.3333333333%; } - .column.is-offset-4-widescreen { - margin-left: 33.3333333333%; } - .column.is-5-widescreen { - flex: none; - width: 41.6666666667%; } - .column.is-offset-5-widescreen { - margin-left: 41.6666666667%; } - .column.is-6-widescreen { - flex: none; - width: 50%; } - .column.is-offset-6-widescreen { - margin-left: 50%; } - .column.is-7-widescreen { - flex: none; - width: 58.3333333333%; } - .column.is-offset-7-widescreen { - margin-left: 58.3333333333%; } - .column.is-8-widescreen { - flex: none; - width: 66.6666666667%; } - .column.is-offset-8-widescreen { - margin-left: 66.6666666667%; } - .column.is-9-widescreen { - flex: none; - width: 75%; } - .column.is-offset-9-widescreen { - margin-left: 75%; } - .column.is-10-widescreen { - flex: none; - width: 83.3333333333%; } - .column.is-offset-10-widescreen { - margin-left: 83.3333333333%; } - .column.is-11-widescreen { - flex: none; - width: 91.6666666667%; } - .column.is-offset-11-widescreen { - margin-left: 91.6666666667%; } - .column.is-12-widescreen { - flex: none; - width: 100%; } - .column.is-offset-12-widescreen { - margin-left: 100%; } } - @media screen and (min-width: 1408px) { - .column.is-narrow-fullhd { - flex: none; } - .column.is-full-fullhd { - flex: none; - width: 100%; } - .column.is-three-quarters-fullhd { - flex: none; - width: 75%; } - .column.is-two-thirds-fullhd { - flex: none; - width: 66.6666%; } - .column.is-half-fullhd { - flex: none; - width: 50%; } - .column.is-one-third-fullhd { - flex: none; - width: 33.3333%; } - .column.is-one-quarter-fullhd { - flex: none; - width: 25%; } - .column.is-one-fifth-fullhd { - flex: none; - width: 20%; } - .column.is-two-fifths-fullhd { - flex: none; - width: 40%; } - .column.is-three-fifths-fullhd { - flex: none; - width: 60%; } - .column.is-four-fifths-fullhd { - flex: none; - width: 80%; } - .column.is-offset-three-quarters-fullhd { - margin-left: 75%; } - .column.is-offset-two-thirds-fullhd { - margin-left: 66.6666%; } - .column.is-offset-half-fullhd { - margin-left: 50%; } - .column.is-offset-one-third-fullhd { - margin-left: 33.3333%; } - .column.is-offset-one-quarter-fullhd { - margin-left: 25%; } - .column.is-offset-one-fifth-fullhd { - margin-left: 20%; } - .column.is-offset-two-fifths-fullhd { - margin-left: 40%; } - .column.is-offset-three-fifths-fullhd { - margin-left: 60%; } - .column.is-offset-four-fifths-fullhd { - margin-left: 80%; } - .column.is-0-fullhd { - flex: none; - width: 0%; } - .column.is-offset-0-fullhd { - margin-left: 0%; } - .column.is-1-fullhd { - flex: none; - width: 8.3333333333%; } - .column.is-offset-1-fullhd { - margin-left: 8.3333333333%; } - .column.is-2-fullhd { - flex: none; - width: 16.6666666667%; } - .column.is-offset-2-fullhd { - margin-left: 16.6666666667%; } - .column.is-3-fullhd { - flex: none; - width: 25%; } - .column.is-offset-3-fullhd { - margin-left: 25%; } - .column.is-4-fullhd { - flex: none; - width: 33.3333333333%; } - .column.is-offset-4-fullhd { - margin-left: 33.3333333333%; } - .column.is-5-fullhd { - flex: none; - width: 41.6666666667%; } - .column.is-offset-5-fullhd { - margin-left: 41.6666666667%; } - .column.is-6-fullhd { - flex: none; - width: 50%; } - .column.is-offset-6-fullhd { - margin-left: 50%; } - .column.is-7-fullhd { - flex: none; - width: 58.3333333333%; } - .column.is-offset-7-fullhd { - margin-left: 58.3333333333%; } - .column.is-8-fullhd { - flex: none; - width: 66.6666666667%; } - .column.is-offset-8-fullhd { - margin-left: 66.6666666667%; } - .column.is-9-fullhd { - flex: none; - width: 75%; } - .column.is-offset-9-fullhd { - margin-left: 75%; } - .column.is-10-fullhd { - flex: none; - width: 83.3333333333%; } - .column.is-offset-10-fullhd { - margin-left: 83.3333333333%; } - .column.is-11-fullhd { - flex: none; - width: 91.6666666667%; } - .column.is-offset-11-fullhd { - margin-left: 91.6666666667%; } - .column.is-12-fullhd { - flex: none; - width: 100%; } - .column.is-offset-12-fullhd { - margin-left: 100%; } } -.columns { - margin-left: -0.75rem; - margin-right: -0.75rem; - margin-top: -0.75rem; } - .columns:last-child { - margin-bottom: -0.75rem; } - .columns:not(:last-child) { - margin-bottom: calc(1.5rem - 0.75rem); } - .columns.is-centered { - justify-content: center; } - .columns.is-gapless { - margin-left: 0; - margin-right: 0; - margin-top: 0; } - .columns.is-gapless > .column { - margin: 0; - padding: 0 !important; } - .columns.is-gapless:not(:last-child) { - margin-bottom: 1.5rem; } - .columns.is-gapless:last-child { - margin-bottom: 0; } - .columns.is-mobile { - display: flex; } - .columns.is-multiline { - flex-wrap: wrap; } - .columns.is-vcentered { - align-items: center; } - @media screen and (min-width: 769px), print { - .columns:not(.is-desktop) { - display: flex; } } - @media screen and (min-width: 1056px) { - .columns.is-desktop { - display: flex; } } -.columns.is-variable { - --columnGap: 0.75rem; - margin-left: calc(-1 * var(--columnGap)); - margin-right: calc(-1 * var(--columnGap)); } - .columns.is-variable .column { - padding-left: var(--columnGap); - padding-right: var(--columnGap); } - .columns.is-variable.is-0 { - --columnGap: 0rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-0-mobile { - --columnGap: 0rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-0-tablet { - --columnGap: 0rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-0-tablet-only { - --columnGap: 0rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-0-touch { - --columnGap: 0rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-0-desktop { - --columnGap: 0rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-0-desktop-only { - --columnGap: 0rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-0-widescreen { - --columnGap: 0rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-0-widescreen-only { - --columnGap: 0rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-0-fullhd { - --columnGap: 0rem; } } - .columns.is-variable.is-1 { - --columnGap: 0.25rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-1-mobile { - --columnGap: 0.25rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-1-tablet { - --columnGap: 0.25rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-1-tablet-only { - --columnGap: 0.25rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-1-touch { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-1-desktop { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-1-desktop-only { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-1-widescreen { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-1-widescreen-only { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-1-fullhd { - --columnGap: 0.25rem; } } - .columns.is-variable.is-2 { - --columnGap: 0.5rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-2-mobile { - --columnGap: 0.5rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-2-tablet { - --columnGap: 0.5rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-2-tablet-only { - --columnGap: 0.5rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-2-touch { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-2-desktop { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-2-desktop-only { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-2-widescreen { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-2-widescreen-only { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-2-fullhd { - --columnGap: 0.5rem; } } - .columns.is-variable.is-3 { - --columnGap: 0.75rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-3-mobile { - --columnGap: 0.75rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-3-tablet { - --columnGap: 0.75rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-3-tablet-only { - --columnGap: 0.75rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-3-touch { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-3-desktop { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-3-desktop-only { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-3-widescreen { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-3-widescreen-only { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-3-fullhd { - --columnGap: 0.75rem; } } - .columns.is-variable.is-4 { - --columnGap: 1rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-4-mobile { - --columnGap: 1rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-4-tablet { - --columnGap: 1rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-4-tablet-only { - --columnGap: 1rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-4-touch { - --columnGap: 1rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-4-desktop { - --columnGap: 1rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-4-desktop-only { - --columnGap: 1rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-4-widescreen { - --columnGap: 1rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-4-widescreen-only { - --columnGap: 1rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-4-fullhd { - --columnGap: 1rem; } } - .columns.is-variable.is-5 { - --columnGap: 1.25rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-5-mobile { - --columnGap: 1.25rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-5-tablet { - --columnGap: 1.25rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-5-tablet-only { - --columnGap: 1.25rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-5-touch { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-5-desktop { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-5-desktop-only { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-5-widescreen { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-5-widescreen-only { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-5-fullhd { - --columnGap: 1.25rem; } } - .columns.is-variable.is-6 { - --columnGap: 1.5rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-6-mobile { - --columnGap: 1.5rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-6-tablet { - --columnGap: 1.5rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-6-tablet-only { - --columnGap: 1.5rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-6-touch { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-6-desktop { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-6-desktop-only { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-6-widescreen { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-6-widescreen-only { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-6-fullhd { - --columnGap: 1.5rem; } } - .columns.is-variable.is-7 { - --columnGap: 1.75rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-7-mobile { - --columnGap: 1.75rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-7-tablet { - --columnGap: 1.75rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-7-tablet-only { - --columnGap: 1.75rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-7-touch { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-7-desktop { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-7-desktop-only { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-7-widescreen { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-7-widescreen-only { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-7-fullhd { - --columnGap: 1.75rem; } } - .columns.is-variable.is-8 { - --columnGap: 2rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-8-mobile { - --columnGap: 2rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-8-tablet { - --columnGap: 2rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-8-tablet-only { - --columnGap: 2rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-8-touch { - --columnGap: 2rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-8-desktop { - --columnGap: 2rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-8-desktop-only { - --columnGap: 2rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-8-widescreen { - --columnGap: 2rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-8-widescreen-only { - --columnGap: 2rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-8-fullhd { - --columnGap: 2rem; } } -.tile { - align-items: stretch; - display: block; - flex-basis: 0; - flex-grow: 1; - flex-shrink: 1; - min-height: min-content; } - .tile.is-ancestor { - margin-left: -0.75rem; - margin-right: -0.75rem; - margin-top: -0.75rem; } - .tile.is-ancestor:last-child { - margin-bottom: -0.75rem; } - .tile.is-ancestor:not(:last-child) { - margin-bottom: 0.75rem; } - .tile.is-child { - margin: 0 !important; } - .tile.is-parent { - padding: 0.75rem; } - .tile.is-vertical { - flex-direction: column; } - .tile.is-vertical > .tile.is-child:not(:last-child) { - margin-bottom: 1.5rem !important; } - @media screen and (min-width: 769px), print { - .tile:not(.is-child) { - display: flex; } - .tile.is-1 { - flex: none; - width: 8.3333333333%; } - .tile.is-2 { - flex: none; - width: 16.6666666667%; } - .tile.is-3 { - flex: none; - width: 25%; } - .tile.is-4 { - flex: none; - width: 33.3333333333%; } - .tile.is-5 { - flex: none; - width: 41.6666666667%; } - .tile.is-6 { - flex: none; - width: 50%; } - .tile.is-7 { - flex: none; - width: 58.3333333333%; } - .tile.is-8 { - flex: none; - width: 66.6666666667%; } - .tile.is-9 { - flex: none; - width: 75%; } - .tile.is-10 { - flex: none; - width: 83.3333333333%; } - .tile.is-11 { - flex: none; - width: 91.6666666667%; } - .tile.is-12 { - flex: none; - width: 100%; } } -.hero { - align-items: stretch; - display: flex; - flex-direction: column; - justify-content: space-between; } - .hero .navbar { - background: none; } - .hero .tabs ul { - border-bottom: none; } - .hero.is-white { - background-color: white; - color: #0a0a0a; } - .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-white strong { - color: inherit; } - .hero.is-white .title { - color: #0a0a0a; } - .hero.is-white .subtitle { - color: rgba(10, 10, 10, 0.9); } - .hero.is-white .subtitle a:not(.button), - .hero.is-white .subtitle strong { - color: #0a0a0a; } - @media screen and (max-width: 1055px) { - .hero.is-white .navbar-menu { - background-color: white; } } - .hero.is-white .navbar-item, - .hero.is-white .navbar-link { - color: rgba(10, 10, 10, 0.7); } - .hero.is-white a.navbar-item:hover, .hero.is-white a.navbar-item.is-active, - .hero.is-white .navbar-link:hover, - .hero.is-white .navbar-link.is-active { - background-color: #f2f2f2; - color: #0a0a0a; } - .hero.is-white .tabs a { - color: #0a0a0a; - opacity: 0.9; } - .hero.is-white .tabs a:hover { - opacity: 1; } - .hero.is-white .tabs li.is-active a { - opacity: 1; } - .hero.is-white .tabs.is-boxed a, .hero.is-white .tabs.is-toggle a { - color: #0a0a0a; } - .hero.is-white .tabs.is-boxed a:hover, .hero.is-white .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-white .tabs.is-boxed li.is-active a, .hero.is-white .tabs.is-boxed li.is-active a:hover, .hero.is-white .tabs.is-toggle li.is-active a, .hero.is-white .tabs.is-toggle li.is-active a:hover { - background-color: #0a0a0a; - border-color: #0a0a0a; - color: white; } - .hero.is-white.is-bold { - background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } - @media screen and (max-width: 768px) { - .hero.is-white.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } } - .hero.is-black { - background-color: #0a0a0a; - color: white; } - .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-black strong { - color: inherit; } - .hero.is-black .title { - color: white; } - .hero.is-black .subtitle { - color: rgba(255, 255, 255, 0.9); } - .hero.is-black .subtitle a:not(.button), - .hero.is-black .subtitle strong { - color: white; } - @media screen and (max-width: 1055px) { - .hero.is-black .navbar-menu { - background-color: #0a0a0a; } } - .hero.is-black .navbar-item, - .hero.is-black .navbar-link { - color: rgba(255, 255, 255, 0.7); } - .hero.is-black a.navbar-item:hover, .hero.is-black a.navbar-item.is-active, - .hero.is-black .navbar-link:hover, - .hero.is-black .navbar-link.is-active { - background-color: black; - color: white; } - .hero.is-black .tabs a { - color: white; - opacity: 0.9; } - .hero.is-black .tabs a:hover { - opacity: 1; } - .hero.is-black .tabs li.is-active a { - opacity: 1; } - .hero.is-black .tabs.is-boxed a, .hero.is-black .tabs.is-toggle a { - color: white; } - .hero.is-black .tabs.is-boxed a:hover, .hero.is-black .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-black .tabs.is-boxed li.is-active a, .hero.is-black .tabs.is-boxed li.is-active a:hover, .hero.is-black .tabs.is-toggle li.is-active a, .hero.is-black .tabs.is-toggle li.is-active a:hover { - background-color: white; - border-color: white; - color: #0a0a0a; } - .hero.is-black.is-bold { - background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } - @media screen and (max-width: 768px) { - .hero.is-black.is-bold .navbar-menu { - background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } } - .hero.is-light { - background-color: whitesmoke; - color: #363636; } - .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-light strong { - color: inherit; } - .hero.is-light .title { - color: #363636; } - .hero.is-light .subtitle { - color: rgba(54, 54, 54, 0.9); } - .hero.is-light .subtitle a:not(.button), - .hero.is-light .subtitle strong { - color: #363636; } - @media screen and (max-width: 1055px) { - .hero.is-light .navbar-menu { - background-color: whitesmoke; } } - .hero.is-light .navbar-item, - .hero.is-light .navbar-link { - color: rgba(54, 54, 54, 0.7); } - .hero.is-light a.navbar-item:hover, .hero.is-light a.navbar-item.is-active, - .hero.is-light .navbar-link:hover, - .hero.is-light .navbar-link.is-active { - background-color: #e8e8e8; - color: #363636; } - .hero.is-light .tabs a { - color: #363636; - opacity: 0.9; } - .hero.is-light .tabs a:hover { - opacity: 1; } - .hero.is-light .tabs li.is-active a { - opacity: 1; } - .hero.is-light .tabs.is-boxed a, .hero.is-light .tabs.is-toggle a { - color: #363636; } - .hero.is-light .tabs.is-boxed a:hover, .hero.is-light .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-light .tabs.is-boxed li.is-active a, .hero.is-light .tabs.is-boxed li.is-active a:hover, .hero.is-light .tabs.is-toggle li.is-active a, .hero.is-light .tabs.is-toggle li.is-active a:hover { - background-color: #363636; - border-color: #363636; - color: whitesmoke; } - .hero.is-light.is-bold { - background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); } - @media screen and (max-width: 768px) { - .hero.is-light.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); } } - .hero.is-dark, .content kbd.hero { - background-color: #363636; - color: whitesmoke; } - .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-dark strong, - .content kbd.hero strong { - color: inherit; } - .hero.is-dark .title, .content kbd.hero .title { - color: whitesmoke; } - .hero.is-dark .subtitle, .content kbd.hero .subtitle { - color: rgba(245, 245, 245, 0.9); } - .hero.is-dark .subtitle a:not(.button), .content kbd.hero .subtitle a:not(.button), - .hero.is-dark .subtitle strong, - .content kbd.hero .subtitle strong { - color: whitesmoke; } - @media screen and (max-width: 1055px) { - .hero.is-dark .navbar-menu, .content kbd.hero .navbar-menu { - background-color: #363636; } } - .hero.is-dark .navbar-item, .content kbd.hero .navbar-item, - .hero.is-dark .navbar-link, - .content kbd.hero .navbar-link { - color: rgba(245, 245, 245, 0.7); } - .hero.is-dark a.navbar-item:hover, .content kbd.hero a.navbar-item:hover, .hero.is-dark a.navbar-item.is-active, .content kbd.hero a.navbar-item.is-active, - .hero.is-dark .navbar-link:hover, - .content kbd.hero .navbar-link:hover, - .hero.is-dark .navbar-link.is-active, - .content kbd.hero .navbar-link.is-active { - background-color: #292929; - color: whitesmoke; } - .hero.is-dark .tabs a, .content kbd.hero .tabs a { - color: whitesmoke; - opacity: 0.9; } - .hero.is-dark .tabs a:hover, .content kbd.hero .tabs a:hover { - opacity: 1; } - .hero.is-dark .tabs li.is-active a, .content kbd.hero .tabs li.is-active a { - opacity: 1; } - .hero.is-dark .tabs.is-boxed a, .content kbd.hero .tabs.is-boxed a, .hero.is-dark .tabs.is-toggle a, .content kbd.hero .tabs.is-toggle a { - color: whitesmoke; } - .hero.is-dark .tabs.is-boxed a:hover, .content kbd.hero .tabs.is-boxed a:hover, .hero.is-dark .tabs.is-toggle a:hover, .content kbd.hero .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-dark .tabs.is-boxed li.is-active a, .content kbd.hero .tabs.is-boxed li.is-active a, .hero.is-dark .tabs.is-boxed li.is-active a:hover, .hero.is-dark .tabs.is-toggle li.is-active a, .content kbd.hero .tabs.is-toggle li.is-active a, .hero.is-dark .tabs.is-toggle li.is-active a:hover { - background-color: whitesmoke; - border-color: whitesmoke; - color: #363636; } - .hero.is-dark.is-bold, .content kbd.hero.is-bold { - background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); } - @media screen and (max-width: 768px) { - .hero.is-dark.is-bold .navbar-menu, .content kbd.hero.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); } } - .hero.is-primary, .docstring > section > a.hero.docs-sourcelink { - background-color: #4eb5de; - color: #fff; } - .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-primary strong, - .docstring > section > a.hero.docs-sourcelink strong { - color: inherit; } - .hero.is-primary .title, .docstring > section > a.hero.docs-sourcelink .title { - color: #fff; } - .hero.is-primary .subtitle, .docstring > section > a.hero.docs-sourcelink .subtitle { - color: rgba(255, 255, 255, 0.9); } - .hero.is-primary .subtitle a:not(.button), .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button), - .hero.is-primary .subtitle strong, - .docstring > section > a.hero.docs-sourcelink .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - .hero.is-primary .navbar-menu, .docstring > section > a.hero.docs-sourcelink .navbar-menu { - background-color: #4eb5de; } } - .hero.is-primary .navbar-item, .docstring > section > a.hero.docs-sourcelink .navbar-item, - .hero.is-primary .navbar-link, - .docstring > section > a.hero.docs-sourcelink .navbar-link { - color: rgba(255, 255, 255, 0.7); } - .hero.is-primary a.navbar-item:hover, .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, .hero.is-primary a.navbar-item.is-active, .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active, - .hero.is-primary .navbar-link:hover, - .docstring > section > a.hero.docs-sourcelink .navbar-link:hover, - .hero.is-primary .navbar-link.is-active, - .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active { - background-color: #39acda; - color: #fff; } - .hero.is-primary .tabs a, .docstring > section > a.hero.docs-sourcelink .tabs a { - color: #fff; - opacity: 0.9; } - .hero.is-primary .tabs a:hover, .docstring > section > a.hero.docs-sourcelink .tabs a:hover { - opacity: 1; } - .hero.is-primary .tabs li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a { - opacity: 1; } - .hero.is-primary .tabs.is-boxed a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, .hero.is-primary .tabs.is-toggle a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a { - color: #fff; } - .hero.is-primary .tabs.is-boxed a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, .hero.is-primary .tabs.is-toggle a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-primary .tabs.is-boxed li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, .hero.is-primary .tabs.is-boxed li.is-active a:hover, .hero.is-primary .tabs.is-toggle li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, .hero.is-primary .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #4eb5de; } - .hero.is-primary.is-bold, .docstring > section > a.hero.is-bold.docs-sourcelink { - background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); } - @media screen and (max-width: 768px) { - .hero.is-primary.is-bold .navbar-menu, .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu { - background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); } } - .hero.is-link { - background-color: #2e63b8; - color: #fff; } - .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-link strong { - color: inherit; } - .hero.is-link .title { - color: #fff; } - .hero.is-link .subtitle { - color: rgba(255, 255, 255, 0.9); } - .hero.is-link .subtitle a:not(.button), - .hero.is-link .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - .hero.is-link .navbar-menu { - background-color: #2e63b8; } } - .hero.is-link .navbar-item, - .hero.is-link .navbar-link { - color: rgba(255, 255, 255, 0.7); } - .hero.is-link a.navbar-item:hover, .hero.is-link a.navbar-item.is-active, - .hero.is-link .navbar-link:hover, - .hero.is-link .navbar-link.is-active { - background-color: #2958a4; - color: #fff; } - .hero.is-link .tabs a { - color: #fff; - opacity: 0.9; } - .hero.is-link .tabs a:hover { - opacity: 1; } - .hero.is-link .tabs li.is-active a { - opacity: 1; } - .hero.is-link .tabs.is-boxed a, .hero.is-link .tabs.is-toggle a { - color: #fff; } - .hero.is-link .tabs.is-boxed a:hover, .hero.is-link .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-link .tabs.is-boxed li.is-active a, .hero.is-link .tabs.is-boxed li.is-active a:hover, .hero.is-link .tabs.is-toggle li.is-active a, .hero.is-link .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #2e63b8; } - .hero.is-link.is-bold { - background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); } - @media screen and (max-width: 768px) { - .hero.is-link.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); } } - .hero.is-info { - background-color: #209cee; - color: #fff; } - .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-info strong { - color: inherit; } - .hero.is-info .title { - color: #fff; } - .hero.is-info .subtitle { - color: rgba(255, 255, 255, 0.9); } - .hero.is-info .subtitle a:not(.button), - .hero.is-info .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - .hero.is-info .navbar-menu { - background-color: #209cee; } } - .hero.is-info .navbar-item, - .hero.is-info .navbar-link { - color: rgba(255, 255, 255, 0.7); } - .hero.is-info a.navbar-item:hover, .hero.is-info a.navbar-item.is-active, - .hero.is-info .navbar-link:hover, - .hero.is-info .navbar-link.is-active { - background-color: #1190e3; - color: #fff; } - .hero.is-info .tabs a { - color: #fff; - opacity: 0.9; } - .hero.is-info .tabs a:hover { - opacity: 1; } - .hero.is-info .tabs li.is-active a { - opacity: 1; } - .hero.is-info .tabs.is-boxed a, .hero.is-info .tabs.is-toggle a { - color: #fff; } - .hero.is-info .tabs.is-boxed a:hover, .hero.is-info .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-info .tabs.is-boxed li.is-active a, .hero.is-info .tabs.is-boxed li.is-active a:hover, .hero.is-info .tabs.is-toggle li.is-active a, .hero.is-info .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #209cee; } - .hero.is-info.is-bold { - background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); } - @media screen and (max-width: 768px) { - .hero.is-info.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); } } - .hero.is-success { - background-color: #22c35b; - color: #fff; } - .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-success strong { - color: inherit; } - .hero.is-success .title { - color: #fff; } - .hero.is-success .subtitle { - color: rgba(255, 255, 255, 0.9); } - .hero.is-success .subtitle a:not(.button), - .hero.is-success .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - .hero.is-success .navbar-menu { - background-color: #22c35b; } } - .hero.is-success .navbar-item, - .hero.is-success .navbar-link { - color: rgba(255, 255, 255, 0.7); } - .hero.is-success a.navbar-item:hover, .hero.is-success a.navbar-item.is-active, - .hero.is-success .navbar-link:hover, - .hero.is-success .navbar-link.is-active { - background-color: #1ead51; - color: #fff; } - .hero.is-success .tabs a { - color: #fff; - opacity: 0.9; } - .hero.is-success .tabs a:hover { - opacity: 1; } - .hero.is-success .tabs li.is-active a { - opacity: 1; } - .hero.is-success .tabs.is-boxed a, .hero.is-success .tabs.is-toggle a { - color: #fff; } - .hero.is-success .tabs.is-boxed a:hover, .hero.is-success .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-success .tabs.is-boxed li.is-active a, .hero.is-success .tabs.is-boxed li.is-active a:hover, .hero.is-success .tabs.is-toggle li.is-active a, .hero.is-success .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #22c35b; } - .hero.is-success.is-bold { - background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); } - @media screen and (max-width: 768px) { - .hero.is-success.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); } } - .hero.is-warning { - background-color: #ffdd57; - color: rgba(0, 0, 0, 0.7); } - .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-warning strong { - color: inherit; } - .hero.is-warning .title { - color: rgba(0, 0, 0, 0.7); } - .hero.is-warning .subtitle { - color: rgba(0, 0, 0, 0.9); } - .hero.is-warning .subtitle a:not(.button), - .hero.is-warning .subtitle strong { - color: rgba(0, 0, 0, 0.7); } - @media screen and (max-width: 1055px) { - .hero.is-warning .navbar-menu { - background-color: #ffdd57; } } - .hero.is-warning .navbar-item, - .hero.is-warning .navbar-link { - color: rgba(0, 0, 0, 0.7); } - .hero.is-warning a.navbar-item:hover, .hero.is-warning a.navbar-item.is-active, - .hero.is-warning .navbar-link:hover, - .hero.is-warning .navbar-link.is-active { - background-color: #ffd83e; - color: rgba(0, 0, 0, 0.7); } - .hero.is-warning .tabs a { - color: rgba(0, 0, 0, 0.7); - opacity: 0.9; } - .hero.is-warning .tabs a:hover { - opacity: 1; } - .hero.is-warning .tabs li.is-active a { - opacity: 1; } - .hero.is-warning .tabs.is-boxed a, .hero.is-warning .tabs.is-toggle a { - color: rgba(0, 0, 0, 0.7); } - .hero.is-warning .tabs.is-boxed a:hover, .hero.is-warning .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-warning .tabs.is-boxed li.is-active a, .hero.is-warning .tabs.is-boxed li.is-active a:hover, .hero.is-warning .tabs.is-toggle li.is-active a, .hero.is-warning .tabs.is-toggle li.is-active a:hover { - background-color: rgba(0, 0, 0, 0.7); - border-color: rgba(0, 0, 0, 0.7); - color: #ffdd57; } - .hero.is-warning.is-bold { - background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); } - @media screen and (max-width: 768px) { - .hero.is-warning.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); } } - .hero.is-danger { - background-color: #da0b00; - color: #fff; } - .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-danger strong { - color: inherit; } - .hero.is-danger .title { - color: #fff; } - .hero.is-danger .subtitle { - color: rgba(255, 255, 255, 0.9); } - .hero.is-danger .subtitle a:not(.button), - .hero.is-danger .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - .hero.is-danger .navbar-menu { - background-color: #da0b00; } } - .hero.is-danger .navbar-item, - .hero.is-danger .navbar-link { - color: rgba(255, 255, 255, 0.7); } - .hero.is-danger a.navbar-item:hover, .hero.is-danger a.navbar-item.is-active, - .hero.is-danger .navbar-link:hover, - .hero.is-danger .navbar-link.is-active { - background-color: #c10a00; - color: #fff; } - .hero.is-danger .tabs a { - color: #fff; - opacity: 0.9; } - .hero.is-danger .tabs a:hover { - opacity: 1; } - .hero.is-danger .tabs li.is-active a { - opacity: 1; } - .hero.is-danger .tabs.is-boxed a, .hero.is-danger .tabs.is-toggle a { - color: #fff; } - .hero.is-danger .tabs.is-boxed a:hover, .hero.is-danger .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-danger .tabs.is-boxed li.is-active a, .hero.is-danger .tabs.is-boxed li.is-active a:hover, .hero.is-danger .tabs.is-toggle li.is-active a, .hero.is-danger .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #da0b00; } - .hero.is-danger.is-bold { - background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); } - @media screen and (max-width: 768px) { - .hero.is-danger.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); } } - .hero.is-small .hero-body, #documenter .docs-sidebar form.docs-search > input.hero .hero-body { - padding-bottom: 1.5rem; - padding-top: 1.5rem; } - @media screen and (min-width: 769px), print { - .hero.is-medium .hero-body { - padding-bottom: 9rem; - padding-top: 9rem; } } - @media screen and (min-width: 769px), print { - .hero.is-large .hero-body { - padding-bottom: 18rem; - padding-top: 18rem; } } - .hero.is-halfheight .hero-body, .hero.is-fullheight .hero-body, .hero.is-fullheight-with-navbar .hero-body { - align-items: center; - display: flex; } - .hero.is-halfheight .hero-body > .container, .hero.is-fullheight .hero-body > .container, .hero.is-fullheight-with-navbar .hero-body > .container { - flex-grow: 1; - flex-shrink: 1; } - .hero.is-halfheight { - min-height: 50vh; } - .hero.is-fullheight { - min-height: 100vh; } - -.hero-video { - overflow: hidden; } - .hero-video video { - left: 50%; - min-height: 100%; - min-width: 100%; - position: absolute; - top: 50%; - transform: translate3d(-50%, -50%, 0); } - .hero-video.is-transparent { - opacity: 0.3; } - @media screen and (max-width: 768px) { - .hero-video { - display: none; } } -.hero-buttons { - margin-top: 1.5rem; } - @media screen and (max-width: 768px) { - .hero-buttons .button { - display: flex; } - .hero-buttons .button:not(:last-child) { - margin-bottom: 0.75rem; } } - @media screen and (min-width: 769px), print { - .hero-buttons { - display: flex; - justify-content: center; } - .hero-buttons .button:not(:last-child) { - margin-right: 1.5rem; } } -.hero-head, -.hero-foot { - flex-grow: 0; - flex-shrink: 0; } - -.hero-body { - flex-grow: 1; - flex-shrink: 0; - padding: 3rem 1.5rem; } - -.section { - padding: 3rem 1.5rem; } - @media screen and (min-width: 1056px) { - .section.is-medium { - padding: 9rem 1.5rem; } - .section.is-large { - padding: 18rem 1.5rem; } } -.footer { - background-color: #fafafa; - padding: 3rem 1.5rem 6rem; } - -h1 .docs-heading-anchor, h1 .docs-heading-anchor:hover, h1 .docs-heading-anchor:visited, h2 .docs-heading-anchor, h2 .docs-heading-anchor:hover, h2 .docs-heading-anchor:visited, h3 .docs-heading-anchor, h3 .docs-heading-anchor:hover, h3 .docs-heading-anchor:visited, h4 .docs-heading-anchor, h4 .docs-heading-anchor:hover, h4 .docs-heading-anchor:visited, h5 .docs-heading-anchor, h5 .docs-heading-anchor:hover, h5 .docs-heading-anchor:visited, h6 .docs-heading-anchor, h6 .docs-heading-anchor:hover, h6 .docs-heading-anchor:visited { - color: #222222; 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Gets put into the tag.. function set_theme_from_local_storage() { - // Intialize the theme to null, which means default + // Initialize the theme to null, which means default var theme = null; // If the browser supports the localstorage and is not disabled then try to get the // documenter theme - if(window.localStorage != null) { + if (window.localStorage != null) { // Get the user-picked theme from localStorage. May be `null`, which means the default // theme. - theme = window.localStorage.getItem("documenter-theme"); + theme = window.localStorage.getItem("documenter-theme"); } - // Check if the browser supports user color preference - var darkPreference = false; // Check if the users preference is for dark color scheme - if(window.matchMedia('(prefers-color-scheme: dark)').matches === true) { - darkPreference = true; - } + var darkPreference = + window.matchMedia("(prefers-color-scheme: dark)").matches === true; // Initialize a few variables for the loop: // // - active: will contain the index of the theme that should be active. Note that there @@ -24,43 +21,64 @@ function set_theme_from_local_storage() { // // - disabled: style sheets that should be disabled (i.e. all the theme style sheets // that are not the currently active theme) - var active = null; var disabled = []; var darkTheme = null; + var active = null; + var disabled = []; + var primaryLightTheme = null; + var primaryDarkTheme = null; for (var i = 0; i < document.styleSheets.length; i++) { var ss = document.styleSheets[i]; // The tag of each style sheet is expected to have a data-theme-name attribute // which must contain the name of the theme. The names in localStorage much match this. var themename = ss.ownerNode.getAttribute("data-theme-name"); // attribute not set => non-theme stylesheet => ignore - if(themename === null) continue; + if (themename === null) continue; // To distinguish the default (primary) theme, it needs to have the data-theme-primary // attribute set. - var isprimary = (ss.ownerNode.getAttribute("data-theme-primary") !== null); - // Check if the theme is primary dark theme - var isDarkTheme = (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null); - // If ss is for dark theme then set the value of darkTheme to the name of the theme - if(isDarkTheme) darkTheme = themename; + if (ss.ownerNode.getAttribute("data-theme-primary") !== null) { + primaryLightTheme = themename; + } + // Check if the theme is primary dark theme so that we could store its name in darkTheme + if (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null) { + primaryDarkTheme = themename; + } // If we find a matching theme (and it's not the default), we'll set active to non-null - if(themename === theme) active = i; + if (themename === theme) active = i; // Store the style sheets of inactive themes so that we could disable them - if(themename !== theme) disabled.push(ss); + if (themename !== theme) disabled.push(ss); } - if(active !== null) { + var activeTheme = null; + if (active !== null) { // If we did find an active theme, we'll (1) add the theme--$(theme) class to - document.getElementsByTagName('html')[0].className = "theme--" + theme; - // and (2) disable all the other theme stylesheets - disabled.forEach(function(ss){ - ss.disabled = true; - }); + document.getElementsByTagName("html")[0].className = "theme--" + theme; + activeTheme = theme; + } else { + // If we did _not_ find an active theme, then we need to fall back to the primary theme + // which can either be dark or light, depending on the user's OS preference. + var activeTheme = darkPreference ? primaryDarkTheme : primaryLightTheme; + // In case it somehow happens that the relevant primary theme was not found in the + // preceding loop, we abort without doing anything. + if (activeTheme === null) { + console.error("Unable to determine primary theme."); + return; + } + // When switching to the primary light theme, then we must not have a class name + // for the tag. That's only for non-primary or the primary dark theme. + if (darkPreference) { + document.getElementsByTagName("html")[0].className = + "theme--" + activeTheme; + } else { + document.getElementsByTagName("html")[0].className = ""; + } } - else if(darkTheme !== null && darkPreference === true) { - // If we did find an active theme, we'll (1) add the theme--$(theme) class to - document.getElementsByTagName('html')[0].className = "theme--" + darkTheme; - // and (2) disable all the other theme stylesheets - disabled.forEach(function(ss){ - if (ss.ownerNode.getAttribute("data-theme-name") !== darkTheme) { - ss.disabled = true; - } - }); + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // we'll disable all the stylesheets, except for the active one + ss.disabled = !(themename == activeTheme); } } set_theme_from_local_storage(); diff --git a/dev/assets/warner.js b/dev/assets/warner.js index 5531c885..3f6f5d00 100644 --- a/dev/assets/warner.js +++ b/dev/assets/warner.js @@ -1,49 +1,52 @@ -function maybeAddWarning () { - // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE - // in siteinfo.js. - // If either of these are undefined something went horribly wrong, so we abort. - if ( - window.DOCUMENTER_NEWEST === undefined || - window.DOCUMENTER_CURRENT_VERSION === undefined || - window.DOCUMENTER_STABLE === undefined - ) { - return - }; +function maybeAddWarning() { + // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE + // in siteinfo.js. + // If either of these are undefined something went horribly wrong, so we abort. + if ( + window.DOCUMENTER_NEWEST === undefined || + window.DOCUMENTER_CURRENT_VERSION === undefined || + window.DOCUMENTER_STABLE === undefined + ) { + return; + } - // Current version is not a version number, so we can't tell if it's the newest version. 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Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +} -if (document.readyState === 'loading') { - document.addEventListener('DOMContentLoaded', maybeAddWarning); +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", maybeAddWarning); } else { - maybeAddWarning(); -}; + maybeAddWarning(); +} diff --git a/dev/examples/1-mirt/index.html b/dev/examples/1-mirt/index.html deleted file mode 100644 index cf5bf704..00000000 --- a/dev/examples/1-mirt/index.html +++ /dev/null @@ -1,2 +0,0 @@ - -MIRT overview · MIRT.jl
Edit on GitHub
diff --git a/dev/generated/examples/1-mirt.ipynb b/dev/generated/examples/1-mirt.ipynb new file mode 100644 index 00000000..9ff80c34 --- /dev/null +++ b/dev/generated/examples/1-mirt.ipynb @@ -0,0 +1,49 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# MIRT overview" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "The Julia package\n", + "[`MIRT.jl`](https://github.com/JeffFessler/MIRT.jl)\n", + "provides tools for performing image reconstruction\n", + "and solving related inverse problems.\n", + "\n", + "For more tools and more examples,\n", + "see\n", + "[JuliaImageRecon](https://github.com/JuliaImageRecon)" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "---\n", + "\n", + "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" + ], + "metadata": {} + } + ], + "nbformat_minor": 3, + "metadata": { + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "1.10.5" + }, + "kernelspec": { + "name": "julia-1.10", + "display_name": "Julia 1.10.5", + "language": "julia" + } + }, + "nbformat": 4 +} diff --git a/dev/generated/examples/1-mirt/index.html b/dev/generated/examples/1-mirt/index.html new file mode 100644 index 00000000..efa7dd5f --- /dev/null +++ b/dev/generated/examples/1-mirt/index.html @@ -0,0 +1,2 @@ + +MIRT overview · MIRT.jl
GitHub
diff --git a/dev/generated/examples/2-nufft.ipynb b/dev/generated/examples/2-nufft.ipynb new file mode 100644 index 00000000..a0c51c08 --- /dev/null +++ b/dev/generated/examples/2-nufft.ipynb @@ -0,0 +1,253 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# NUFFT\n", + "\n", + "Examples illustrating the `nufft` methods\n", + "in the Julia package\n", + "[`MIRT`](https://github.com/JeffFessler/MIRT.jl).\n", + "\n", + "The `nufft` functions in this package\n", + "are wrappers around\n", + "[NFFT.jl](https://github.com/JuliaMath/NFFT.jl).\n", + "\n", + "The plots on this page\n", + "are simply sanity checks\n", + "about of the approximation error\n", + "for that package\n", + "and they help verify the correctness\n", + "of the wrapper." + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "### Setup" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "Packages needed here." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "using Plots; default(markerstrokecolor = :auto, label=\"\")\n", + "using MIRTjim: prompt\n", + "using MIRT: nufft_init, nufft_errors, dtft\n", + "using InteractiveUtils: versioninfo" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "The following line is helpful when running this file as a script;\n", + "this way it will prompt user to hit a key after each figure is displayed." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "isinteractive() && prompt(:prompt);" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "## 1D example\n", + "\n", + "This code illustrates how to call the NUFFT." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "Ω = range(-1,1,301) * π # digital frequencies (radians/sample)\n", + "N = 16 # # of samples\n", + "(nufft, nufft_adjoint, Anufft) = nufft_init(Ω, N)\n", + "x = randn(ComplexF32, N) # random 1D signal\n", + "y1 = nufft(x) # one way to compute NUFFT\n", + "y2 = Anufft * x # another way to compute NUFFT\n", + "@assert y1 == y2\n", + "yd = dtft(Ω, x) # exact (slow) nonuniform discrete Fourier transform\n", + "maximum(abs, yd - y1) # worst error for this 1D signal" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "This plot shows that the NUFFT is very close to the exact nonuniform DFT." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "xticks = ([-π,0,π], [\"-π\", \"0\", \"π\"]); xlims = (-π,π); xlabel=\"Ω\"\n", + "p1 = plot(ylabel=\"Real part\"; xlabel, xlims, xticks)\n", + "plot!(Ω, real(y1), label=\"real(NUFFT)\", line=:dash)\n", + "plot!(Ω, real(yd), label=\"real(DTFT)\", line=:dot)\n", + "p2 = plot(ylabel=\"Imag part\"; xlabel, xlims, xticks)\n", + "plot!(Ω, imag(y1), label=\"imag(NUFFT)\", line=:dash)\n", + "plot!(Ω, imag(yd), label=\"imag(NUFFT)\", line=:dot)\n", + "p3 = plot(Ω, real(yd - y1), label=\"real(Error)\"; xlabel, xlims, xticks)\n", + "p4 = plot(Ω, imag(yd - y1), label=\"imag(Error)\"; xlabel, xlims, xticks)\n", + "plot(p1, p2, p3, p4)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "## Plot worst-case errors vs $N$\n", + "\n", + "Plot worst-case error\n", + "over all frequencies $Ω$ between $0$ and $2π/N$\n", + "for various $N$.\n", + "\n", + "Even for $N=512$\n", + "the error is below `4e-6`." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "Nlist = 2 .^ (4:9)\n", + "Nlist = [Nlist..., 191, 385] # test odd N values\n", + "errfunn = N -> maximum(nufft_errors( ; N)[2])\n", + "elist = errfunn.(Nlist)\n", + "pn = scatter(Nlist, elist,\n", + " xtick=Nlist, color=:red, xlabel=\"N\", ylabel=\"error\", yaxis=:log10)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "## Plot error vs NFFT `m`.\n", + "\n", + "For the default `m = 4`\n", + "the worst-case error is below `4e-6`." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "mlist = 3:7\n", + "errfunm = nfft_m -> maximum(nufft_errors( ; nfft_m)[2])\n", + "worst_m = errfunm.(mlist)\n", + "pm = scatter(mlist, worst_m,\n", + " xlabel=\"m\", ylabel=\"error\", color=:magenta, yaxis=:log10)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "## Plot error vs NFFT `sigma`.\n", + "For the default `σ = 4`\n", + "the worst-case error is below `4e-6`." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "slist = [1.5; 2:6] # σ\n", + "errfuns = nfft_sigma -> maximum(nufft_errors( ; nfft_sigma)[2])\n", + "worst_s = errfuns.(slist)\n", + "ps = scatter(slist, worst_s,\n", + " xlabel=\"σ\", ylabel=\"error\", color=:blue, yaxis=:log10)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "---\n", + "\n", + "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" + ], + "metadata": {} + } + ], + "nbformat_minor": 3, + "metadata": { + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "1.10.5" + }, + "kernelspec": { + "name": "julia-1.10", + "display_name": "Julia 1.10.5", + "language": "julia" + } + }, + "nbformat": 4 +} diff --git a/dev/generated/examples/2-nufft/345333c1.svg b/dev/generated/examples/2-nufft/345333c1.svg new file mode 100644 index 00000000..b68eb0b1 --- /dev/null +++ b/dev/generated/examples/2-nufft/345333c1.svg @@ -0,0 +1,132 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/dev/generated/examples/2-nufft/35b3d4da.svg b/dev/generated/examples/2-nufft/35b3d4da.svg new file mode 100644 index 00000000..30c41012 --- /dev/null +++ b/dev/generated/examples/2-nufft/35b3d4da.svg @@ -0,0 +1,41 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/dev/generated/examples/2-nufft/c064b287.svg b/dev/generated/examples/2-nufft/c064b287.svg new file mode 100644 index 00000000..c818b5c3 --- /dev/null +++ b/dev/generated/examples/2-nufft/c064b287.svg @@ -0,0 +1,44 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/dev/generated/examples/2-nufft/e3e63e9a.svg b/dev/generated/examples/2-nufft/e3e63e9a.svg new file mode 100644 index 00000000..5183c2f1 --- /dev/null +++ b/dev/generated/examples/2-nufft/e3e63e9a.svg @@ -0,0 +1,52 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/dev/generated/examples/2-nufft/index.html b/dev/generated/examples/2-nufft/index.html new file mode 100644 index 00000000..ea4a91d7 --- /dev/null +++ b/dev/generated/examples/2-nufft/index.html @@ -0,0 +1,57 @@ + +NUFFT · MIRT.jl
GitHub

NUFFT

Examples illustrating the nufft methods in the Julia package MIRT.

The nufft functions in this package are wrappers around NFFT.jl.

The plots on this page are simply sanity checks about of the approximation error for that package and they help verify the correctness of the wrapper.

This page comes from a single Julia file: 2-nufft.jl.

You can access the source code for such Julia documentation using the 'Edit on GitHub' link in the top right. You can view the corresponding notebook in nbviewer here: 2-nufft.ipynb, or open it in binder here: 2-nufft.ipynb.

Setup

Packages needed here.

using Plots; default(markerstrokecolor = :auto, label="")
+using MIRTjim: prompt
+using MIRT: nufft_init, nufft_errors, dtft
+using InteractiveUtils: versioninfo

The following line is helpful when running this file as a script; this way it will prompt user to hit a key after each figure is displayed.

isinteractive() && prompt(:prompt);

1D example

This code illustrates how to call the NUFFT.

Ω = range(-1,1,301) * π # digital frequencies (radians/sample)
+N = 16 # # of samples
+(nufft, nufft_adjoint, Anufft) = nufft_init(Ω, N)
+x = randn(ComplexF32, N) # random 1D signal
+y1 = nufft(x) # one way to compute NUFFT
+y2 = Anufft * x # another way to compute NUFFT
+@assert y1 == y2
+yd = dtft(Ω, x) # exact (slow) nonuniform discrete Fourier transform
+maximum(abs, yd - y1) # worst error for this 1D signal
7.800367306734665e-7

This plot shows that the NUFFT is very close to the exact nonuniform DFT.

xticks = ([-π,0,π], ["-π", "0", "π"]); xlims = (-π,π); xlabel="Ω"
+p1 = plot(ylabel="Real part"; xlabel, xlims, xticks)
+plot!(Ω, real(y1), label="real(NUFFT)", line=:dash)
+plot!(Ω, real(yd), label="real(DTFT)", line=:dot)
+p2 = plot(ylabel="Imag part"; xlabel, xlims, xticks)
+plot!(Ω, imag(y1), label="imag(NUFFT)", line=:dash)
+plot!(Ω, imag(yd), label="imag(NUFFT)", line=:dot)
+p3 = plot(Ω, real(yd - y1), label="real(Error)"; xlabel, xlims, xticks)
+p4 = plot(Ω, imag(yd - y1), label="imag(Error)"; xlabel, xlims, xticks)
+plot(p1, p2, p3, p4)
Example block output
prompt()

Plot worst-case errors vs $N$

Plot worst-case error over all frequencies $Ω$ between $0$ and $2π/N$ for various $N$.

Even for $N=512$ the error is below 4e-6.

Nlist = 2 .^ (4:9)
+Nlist = [Nlist..., 191, 385] # test odd N values
+errfunn = N -> maximum(nufft_errors( ; N)[2])
+elist = errfunn.(Nlist)
+pn = scatter(Nlist, elist,
+     xtick=Nlist, color=:red, xlabel="N", ylabel="error", yaxis=:log10)
Example block output
prompt()

Plot error vs NFFT m.

For the default m = 4 the worst-case error is below 4e-6.

mlist = 3:7
+errfunm = nfft_m -> maximum(nufft_errors( ; nfft_m)[2])
+worst_m = errfunm.(mlist)
+pm = scatter(mlist, worst_m,
+    xlabel="m", ylabel="error", color=:magenta, yaxis=:log10)
Example block output
prompt()

Plot error vs NFFT sigma.

For the default σ = 4 the worst-case error is below 4e-6.

slist = [1.5; 2:6] # σ
+errfuns = nfft_sigma -> maximum(nufft_errors( ; nfft_sigma)[2])
+worst_s = errfuns.(slist)
+ps = scatter(slist, worst_s,
+    xlabel="σ", ylabel="error", color=:blue, yaxis=:log10)
Example block output
prompt()

Reproducibility

This page was generated with the following version of Julia:

using InteractiveUtils: versioninfo
+io = IOBuffer(); versioninfo(io); split(String(take!(io)), '\n')
12-element Vector{SubString{String}}:
+ "Julia Version 1.10.5"
+ "Commit 6f3fdf7b362 (2024-08-27 14:19 UTC)"
+ "Build Info:"
+ "  Official https://julialang.org/ release"
+ "Platform Info:"
+ "  OS: Linux (x86_64-linux-gnu)"
+ "  CPU: 4 × AMD EPYC 7763 64-Core Processor"
+ "  WORD_SIZE: 64"
+ "  LIBM: libopenlibm"
+ "  LLVM: libLLVM-15.0.7 (ORCJIT, znver3)"
+ "Threads: 1 default, 0 interactive, 1 GC (on 4 virtual cores)"
+ ""

And with the following package versions

import Pkg; Pkg.status()
Status `~/work/MIRT.jl/MIRT.jl/docs/Project.toml`
+  [6e4b80f9] BenchmarkTools v1.5.0
+  [e30172f5] Documenter v1.7.0
+  [d3d80556] LineSearches v7.3.0
+  [98b081ad] Literate v2.19.0
+  [7035ae7a] MIRT v0.18.2 `~/work/MIRT.jl/MIRT.jl`
+  [170b2178] MIRTjim v0.25.0
+  [91a5bcdd] Plots v1.40.8
+  [b77e0a4c] InteractiveUtils
+  [9a3f8284] Random

This page was generated using Literate.jl.

diff --git a/dev/generated/examples/3-ls-mm.ipynb b/dev/generated/examples/3-ls-mm.ipynb new file mode 100644 index 00000000..33f16720 --- /dev/null +++ b/dev/generated/examples/3-ls-mm.ipynb @@ -0,0 +1,633 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# Line search MM\n", + "\n", + "Examples illustrating the\n", + "line-search method\n", + "based on majorize-minimize (MM) principles\n", + "in the Julia package\n", + "[`MIRT`](https://github.com/JeffFessler/MIRT.jl).\n", + "This method is probably most useful\n", + "for algorithm developers." + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "### Setup" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "Packages needed here." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "using Plots; default(markerstrokecolor = :auto, label=\"\")\n", + "using MIRTjim: prompt\n", + "using MIRT: line_search_mm, LineSearchMMWork\n", + "using LineSearches: BackTracking, HagerZhang, MoreThuente\n", + "using LinearAlgebra: norm, dot\n", + "using Random: seed!; seed!(0)\n", + "using BenchmarkTools: @btime, @benchmark\n", + "using InteractiveUtils: versioninfo" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "The following line is helpful when running this file as a script;\n", + "this way it will prompt user to hit a key after each figure is displayed." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "isinteractive() && prompt(:prompt);" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "# Theory\n", + "\n", + "Many methods for solving inverse problems\n", + "involve optimization problems\n", + "of the form\n", + "$$\n", + "\\hat{x} = \\arg\\min_{x ∈ \\mathbb{F}^N} f(x)\n", + ",\\qquad\n", + "f(x) = \\sum_{j=1}^J f_j(B_j x)\n", + "$$\n", + "where $\\mathbb{F}$ denotes the field of real or complex numbers,\n", + "matrix $B_j$ has size $M_j × N$,\n", + "and $f_j : \\mathbb{F}^{M_j} ↦ \\mathbb{R}$.\n", + "\n", + "One could apply general-purpose optimization methods here,\n", + "like those in\n", + "[Optim.jl](https://github.com/JuliaNLSolvers/Optim.jl),\n", + "but often we can obtain faster results\n", + "by exploiting the specific\n", + "(yet still fairly general) structure,\n", + "particularly when the problem dimension $N$ is large.\n", + "\n", + "Many algorithms for solving such problems\n", + "require an inner 1D optimization problem\n", + "called a\n", + "[line search](https://en.wikipedia.org/wiki/Line_search)\n", + "of the form\n", + "$$\n", + "α_* = \\arg\\min_{α ∈ \\mathbb{R}} h(α)\n", + ",\\qquad\n", + "h(α) = f(x + α d),\n", + "$$\n", + "for some search direction $d$.\n", + "There are general purpose line search algorithms in\n", + "[LineSearches.jl](https://github.com/JuliaNLSolvers/LineSearches.jl),\n", + "but here we focus on the specific form of $f$ given above.\n", + "\n", + "For that form we see that we have the special structure\n", + "$$\n", + "h(α) = \\sum_{j=1}^J f_j(u_j + α v_j)\n", + ",\\qquad\n", + "u_j = B_j x\n", + ",\\quad\n", + "v_j = B_j d.\n", + "$$\n", + "\n", + "Here we focus further\n", + "on the case where each function $f_j(⋅)$\n", + "has a quadratic majorizer\n", + "of the form\n", + "$$\n", + "f_j(x) ≤ q_j(x,z) = f_j(z) + \\text{real}(⟨ ∇f_j(z), x - z ⟩)\n", + "+ \\frac{1}{2} (x - z)' D_j(z) (x - z),\n", + "$$\n", + "where $D_j(z)$ is a positive semidefinite matrix\n", + "that typically is diagonal.\n", + "Often it is a constant times the identity matrix,\n", + "e.g.,\n", + "a Lipschitz constant for $∇f_j$,\n", + "but often there are\n", + "sharper majorizers.\n", + "\n", + "Such quadratic majorizers\n", + "induce a quadratic majorizer\n", + "for $h(α)$ as well:\n", + "$$\n", + "h(α) ≤ q(α; α_t) =\n", + "\\sum_{j=1}^J q_j(u_j + α v_j; u_j + α_t v_j)\n", + "= h(α_t) + c_1(α_t) (α - α_t)\n", + "+ \\frac{1}{2} c_2(α_t) (α - α_t)^2\n", + "$$\n", + "where\n", + "$$\n", + "c_1(α_t) = \\sum_{j=1}^J \\text{real}(⟨ ∇f_j(u_j + α_t v_j), v_j ⟩)\n", + ",\\qquad\n", + "c_2(α_t) = \\sum_{j=1}^J v_j' D_j(u_j + α_t v_j) v_j.\n", + "$$\n", + "\n", + "The `line_search_mm` function\n", + "in this package\n", + "uses this quadratic majorizer\n", + "to update $α$\n", + "using the iteration\n", + "$$\n", + "α_{t+1}\n", + "= \\arg\\min_{α} q(α;α_t)\n", + "= α_t - c_1(α_t) / c_2(α_t).\n", + "$$\n", + "Being an MM algorithm,\n", + "it is guaranteed to decrease\n", + "$h(α)$ every update.\n", + "For an early exposition of this approach,\n", + "see\n", + "[Fessler & Booth, 1999](http://doi.org/10.1109/83.760336).\n", + "\n", + "From the above derivation,\n", + "the main ingredients needed are\n", + "functions for computing\n", + "the dot products\n", + "$⟨ ∇f_j(u_j + α_t v_j), v_j ⟩$\n", + "and\n", + "$v_j' D_j(u_j + α_t v_j) v_j$.\n", + "\n", + "The `line_search_mm` function\n", + "can construct such functions\n", + "given input gradient functions\n", + "$[∇f_1,…,∇f_J]$\n", + "and curvature functions\n", + "$[ω_1,…,ω_J]$\n", + "where\n", + "$D_j(z) = \\text{Diag}(ω_j(z))$.\n", + "\n", + "Alternatively,\n", + "the user can provide functions\n", + "for computing the dot products.\n", + "\n", + "All of this is best illustrated\n", + "by an example.\n", + "\n", + "# Smooth LASSO problem\n", + "\n", + "The usual LASSO optimization problem uses the cost function\n", + "$$\n", + "f(x) = \\frac{1}{2} \\| A x - y \\|_2^2 + β R(x)\n", + ",\\qquad\n", + "R(x) = \\| x \\|_1 = \\sum_{n=1}^N |x_n| = 1' \\text{abs.}(x).\n", + "$$\n", + "\n", + "The 1-norm is just a relaxation of the 0-norm\n", + "so here we further \"relax\" it\n", + "by considering the \"corner rounded\" version\n", + "using the Fair potential function\n", + "$$\n", + "R(x) = \\sum_{n=1}^N ψ(x_n) = 1' ψ.(x),\n", + "\\qquad\n", + "ψ(z) = δ^2 |z/δ| - \\log(1 + |z/δ|)\n", + "$$\n", + "for a small value of $δ$.\n", + "\n", + "The derivative of this potential function\n", + "is\n", + "$\\dot{ψ}(z) = z / (1 + |z / δ|)$\n", + "and Huber's curvature\n", + "$ω_{ψ}(z) = 1 / (1 + |z / δ|)$\n", + "provides a suitable majorizer.\n", + "\n", + "This smooth LASSO cost function has the general form above\n", + "with $J=2$,\n", + "$B_1 = A$,\n", + "$B_2 = I$,\n", + "$f_1(u) = \\frac{1}{2} \\| u - y \\|_2^2,$\n", + "$f_2(u) = β 1' ψ.(u),$\n", + "for which\n", + "$∇f_1(u) = u - y,$\n", + "$∇f_2(u) = β ψ.(u),$\n", + "and\n", + "$∇^2 f_1(u) = I,$\n", + "$∇^2 f_2(u) \\succeq β \\, \\text{diag}(ω_{ψ}(u)).$\n", + "\n", + "Set up an example and plot $h(α)$." + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "Fair potential, its derivative and Huber weighting function:" + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "function fair_pot()\n", + " fpot(z,δ) = δ^2 * (abs(z/δ) - log(1 + abs(z/δ)))\n", + " dpot(z,δ) = z / (1 + abs(z/δ))\n", + " wpot(z,δ) = 1 / (1 + abs(z/δ))\n", + " return fpot, dpot, wpot\n", + "end;" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Data, cost function and gradients for smooth LASSO problem:" + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "M, N = 1000, 2000\n", + "A = randn(M,N)\n", + "x0 = randn(N) .* (rand(N) .< 0.4) # sparse vector\n", + "y = A * x0 + 0.001 * randn(M)\n", + "β = 95\n", + "δ = 0.1\n", + "fpot, dpot, wpot = Base.Fix2.(fair_pot(), δ)\n", + "\n", + "f(x) = 0.5 * norm(A * x - y)^2 + β * sum(fpot, x)\n", + "∇f(x) = A' * (A * x - y) + β * dpot.(x)\n", + "x = randn(N) # random point\n", + "d = -∇f(x)/M # some search direction\n", + "h(α) = f(x + α * d)\n", + "dh(α) = d' * ∇f(x + α * d)\n", + "pa = plot(h, xlabel=\"α\", ylabel=\"h(α)\", xlims=(-1, 2))" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Apply MM-based line search: simple version.\n", + "The key inputs are the gradient and curvature functions:" + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "gradf = [\n", + " u -> u - y, # ∇f₁ for data-fit term\n", + " u -> β * dpot.(u), # ∇f₂ for regularizer\n", + "]\n", + "curvf = [\n", + " 1, # curvature for data-fit term\n", + " u -> β * wpot.(u), # Huber curvature for regularizer\n", + "]\n", + "\n", + "uu = [A * x, x] # [u₁ u₂]\n", + "vv = [A * d, d] # [v₁ v₂]\n", + "fun(state) = state.α # log this\n", + "ninner = 7\n", + "out = Vector{Any}(undef, ninner+1)\n", + "α0 = 0\n", + "αstar = line_search_mm(gradf, curvf, uu, vv; ninner, out, fun, α0)\n", + "hmin = h(αstar)\n", + "scatter!([αstar], [hmin], marker=:star, color=:red)\n", + "scatter!([α0], [h(α0)], marker=:circle, color=:green)\n", + "ps = plot(0:ninner, out, marker=:circle, xlabel=\"iteration\", ylabel=\"α\",\n", + " color = :green)\n", + "pd = plot(0:ninner, abs.(dh.(out)), marker=:diamond,\n", + " yaxis = :log, color=:red,\n", + " xlabel=\"iteration\", ylabel=\"|dh(α)|\")\n", + "pu = plot(1:ninner, log10.(max.(abs.(diff(out)), 1e-16)), marker=:square,\n", + " color=:blue, xlabel=\"iteration\", ylabel=\"log10(|α_k - α_{k-1}|)\")\n", + "plot(pa, ps, pd, pu)" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Thanks to Huber's curvatures,\n", + "the $α_t$ sequence converges very quickly.\n", + "\n", + "Now explore a fancier version\n", + "that needs less heap memory." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "work = LineSearchMMWork(uu, vv, α0) # pre-allocate\n", + "function lsmm1(gradf, curvf)\n", + " return line_search_mm(gradf, curvf, uu, vv;\n", + " ninner, out, fun, α0, work)\n", + "end\n", + "function lsmm2(dot_gradf, dot_curvf)\n", + " gradn = [() -> nothing, () -> nothing]\n", + " return line_search_mm(uu, vv, dot_gradf, dot_curvf;\n", + " ninner, out, fun, α0, work)\n", + "end;" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "The `let` statements below are a performance trick from the\n", + "[Julia manual](https://docs.julialang.org/en/v1/manual/performance-tips/#man-performance-captured-1).\n", + "Using `Iterators.map` avoids allocating arrays like `z - y`\n", + "and does not even require any work space." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "gradz = [\n", + " let y=y; z -> Iterators.map(-, z, y); end, # z - y\n", + " let β=β, dpot=dpot; z -> Iterators.map(z -> β * dpot(z), z); end, # β * dψ.(z)\n", + "]\n", + "curvz = [\n", + " 1,\n", + " let β=β, wpot=wpot; z -> Iterators.map(z -> β * wpot(z), z); end, # β * ωψ.(z)\n", + "]\n", + "\n", + "function make_grad1c()\n", + " w = similar(uu[1]) # work-space\n", + " let w=w, y=y\n", + " function grad1c(z)\n", + " @. w = z - y\n", + " return w\n", + " end\n", + " end\n", + "end\n", + "\n", + "function make_grad2c()\n", + " w = similar(uu[2]) # work-space\n", + " let w=w, β=β, dpot=dpot\n", + " function grad2c(z)\n", + " @. w = β * dpot(z)\n", + " return w\n", + " end\n", + " end\n", + "end\n", + "\n", + "function make_curv2c()\n", + " w = similar(uu[2]) # work-space\n", + " let w=w, β=β, wpot=wpot\n", + " function curv2c(z)\n", + " @. w = β * wpot(z) # β * ωψ.(z)\n", + " return w\n", + " end\n", + " end\n", + "end\n", + "\n", + "gradc = [ # capture version\n", + " make_grad1c(), # z - y\n", + " make_grad2c(), # β * dψ.(z)\n", + "]\n", + "curvc = [\n", + " 1,\n", + " make_curv2c(), # β * ωψ.(z)\n", + "]\n", + "\n", + "sum_map(f::Function, args...) = sum(Iterators.map(f, args...))\n", + "dot_gradz = [\n", + " let y=y; (v,z) -> sum_map((v,z,y) -> dot(v, z - y), v, z, y); end, # v'(z - y)\n", + " let β=β, dpot=dpot; (v,z) -> β * sum_map((v,z) -> dot(v, dpot(z)), v, z); end, # β * (v'dψ.(z))\n", + "]\n", + "dot_curvz = [\n", + " (v,z) -> norm(v)^2,\n", + " let β=β, wpot=wpot; (v,z) -> β * sum_map((v,z) -> abs2(v) * wpot(z), v, z); end, # β * (abs2.(v)'ωψ.(z))\n", + "]\n", + "\n", + "\n", + "a1 = lsmm1(gradf, curvf)\n", + "a1c = lsmm1(gradc, curvc)\n", + "a2 = lsmm1(gradz, curvz)\n", + "a3 = lsmm2(dot_gradz, dot_curvz)\n", + "@assert a1 ≈ a2 ≈ a3 ≈ a1c\n", + "\n", + "b1 = @benchmark a1 = lsmm1($gradf, $curvf)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "bc = @benchmark a1c = lsmm1($gradc, $curvc)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "b2 = @benchmark a2 = lsmm1($gradz, $curvz)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "b3 = @benchmark a3 = lsmm2($dot_gradz, $dot_curvz)" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Timing results on my Mac:\n", + "- 95 μs\n", + "- 65 μs # 1c after using `make_`\n", + "- 80 μs\n", + "- 69 μs (and lowest memory)\n", + "\n", + "The versions using `gradc` and `dot_gradz`\n", + "with their \"properly captured\" variables\n", + "are the fastest.\n", + "But all the versions here are pretty similar\n", + "so even using the simplest version\n", + "seems likely to be fine." + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "## Compare with LineSearches.jl\n", + "\n", + "Was all this specialized effort useful?\n", + "Let's compare to the general line search methods in\n", + "[LineSearches.jl](https://github.com/JuliaNLSolvers/LineSearches.jl).\n", + "\n", + "It seems that some of those methods do not allow $α₀ = 0$\n", + "so we use 1.0 instead.\n", + "We use the default arguments for all the solvers,\n", + "which means some of them might terminate\n", + "before `ninner` iterations,\n", + "giving them a potential speed advantage." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "a0 = 1.0 # α0\n", + "hdh(α) = h(α), dh(α)\n", + "h0 = h(0)\n", + "dh0 = dh(0);\n", + "function ls_ls(linesearch)\n", + " a1, fx = linesearch(h, dh, hdh, a0, h0, dh0)\n", + " return a1\n", + "end;\n", + "\n", + "solvers = [\n", + " BackTracking( ; iterations = ninner),\n", + " HagerZhang( ; linesearchmax = ninner),\n", + " MoreThuente( ; maxfev = ninner),\n", + "]\n", + "for ls in solvers # check that they work properly\n", + " als = ls_ls(ls)\n", + " @assert isapprox(als, αstar; atol=1e-3)\n", + "end;" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "bbt = @benchmark ls_ls($(solvers[1]))" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "bhz = @benchmark ls_ls($(solvers[2]))" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "bmt = @benchmark ls_ls($(solvers[3]))" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "On my Mac the timings are all much longer\n", + "compared to `line_search_mm`:\n", + "- 840 μs `BackTracking`\n", + "- 2.6 ms `HagerZhang`\n", + "- 3.9 ms `MoreThuente`\n", + "\n", + "This comparison illustrates\n", + "the benefit of the \"special purpose\" line search.\n", + "\n", + "\n", + "The fastest version seems to be `BackTracking`,\n", + "so plot its iterates:" + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "alpha_bt = zeros(ninner + 1)\n", + "alpha_bt[1] = a0\n", + "for iter in 1:ninner\n", + " tmp = BackTracking( ; iterations = iter)\n", + " alpha_bt[iter+1] = ls_ls(tmp)\n", + "end\n", + "plot(0:ninner, alpha_bt, marker=:square, color=:blue,\n", + " xlabel=\"Iteration\", ylabel=\"BackTracking α\")\n", + "plot!([0, ninner], [1,1] * αstar, color=:red)" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Unexpectedly,\n", + "`BackTracking` seems to terminate at the first iteration.\n", + "But even just that single iteration is slower than 7 iterations\n", + "of `line_search_mm`." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "---\n", + "\n", + "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" + ], + "metadata": {} + } + ], + "nbformat_minor": 3, + "metadata": { + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "1.10.5" + }, + "kernelspec": { + "name": "julia-1.10", + "display_name": "Julia 1.10.5", + "language": "julia" + } + }, + "nbformat": 4 +} diff --git a/dev/generated/examples/3-ls-mm/13979134.svg b/dev/generated/examples/3-ls-mm/13979134.svg new file mode 100644 index 00000000..0551b5dc --- /dev/null +++ b/dev/generated/examples/3-ls-mm/13979134.svg @@ -0,0 +1,48 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/dev/generated/examples/3-ls-mm/9cffd8bd.svg b/dev/generated/examples/3-ls-mm/9cffd8bd.svg new file mode 100644 index 00000000..7c85b165 --- /dev/null +++ b/dev/generated/examples/3-ls-mm/9cffd8bd.svg @@ -0,0 +1,41 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/dev/generated/examples/3-ls-mm/c54ee071.svg b/dev/generated/examples/3-ls-mm/c54ee071.svg new file mode 100644 index 00000000..de68c496 --- /dev/null +++ b/dev/generated/examples/3-ls-mm/c54ee071.svg @@ -0,0 +1,149 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/dev/generated/examples/3-ls-mm/index.html b/dev/generated/examples/3-ls-mm/index.html new file mode 100644 index 00000000..6859349d --- /dev/null +++ b/dev/generated/examples/3-ls-mm/index.html @@ -0,0 +1,258 @@ + +Line search MM · MIRT.jl
GitHub

Line search MM

Examples illustrating the line-search method based on majorize-minimize (MM) principles in the Julia package MIRT. This method is probably most useful for algorithm developers.

This page comes from a single Julia file: 3-ls-mm.jl.

You can access the source code for such Julia documentation using the 'Edit on GitHub' link in the top right. You can view the corresponding notebook in nbviewer here: 3-ls-mm.ipynb, or open it in binder here: 3-ls-mm.ipynb.

Setup

Packages needed here.

using Plots; default(markerstrokecolor = :auto, label="")
+using MIRTjim: prompt
+using MIRT: line_search_mm, LineSearchMMWork
+using LineSearches: BackTracking, HagerZhang, MoreThuente
+using LinearAlgebra: norm, dot
+using Random: seed!; seed!(0)
+using BenchmarkTools: @btime, @benchmark
+using InteractiveUtils: versioninfo

The following line is helpful when running this file as a script; this way it will prompt user to hit a key after each figure is displayed.

isinteractive() && prompt(:prompt);

Theory

Many methods for solving inverse problems involve optimization problems of the form

\[\hat{x} = \arg\min_{x ∈ \mathbb{F}^N} f(x) +,\qquad +f(x) = \sum_{j=1}^J f_j(B_j x)\]

where $\mathbb{F}$ denotes the field of real or complex numbers, matrix $B_j$ has size $M_j × N$, and $f_j : \mathbb{F}^{M_j} ↦ \mathbb{R}$.

One could apply general-purpose optimization methods here, like those in Optim.jl, but often we can obtain faster results by exploiting the specific (yet still fairly general) structure, particularly when the problem dimension $N$ is large.

Many algorithms for solving such problems require an inner 1D optimization problem called a line search of the form

\[α_* = \arg\min_{α ∈ \mathbb{R}} h(α) +,\qquad +h(α) = f(x + α d),\]

for some search direction $d$. There are general purpose line search algorithms in LineSearches.jl, but here we focus on the specific form of $f$ given above.

For that form we see that we have the special structure

\[h(α) = \sum_{j=1}^J f_j(u_j + α v_j) +,\qquad +u_j = B_j x +,\quad +v_j = B_j d.\]

Here we focus further on the case where each function $f_j(⋅)$ has a quadratic majorizer of the form

\[f_j(x) ≤ q_j(x,z) = f_j(z) + \text{real}(⟨ ∇f_j(z), x - z ⟩) ++ \frac{1}{2} (x - z)' D_j(z) (x - z),\]

where $D_j(z)$ is a positive semidefinite matrix that typically is diagonal. Often it is a constant times the identity matrix, e.g., a Lipschitz constant for $∇f_j$, but often there are sharper majorizers.

Such quadratic majorizers induce a quadratic majorizer for $h(α)$ as well:

\[h(α) ≤ q(α; α_t) = +\sum_{j=1}^J q_j(u_j + α v_j; u_j + α_t v_j) += h(α_t) + c_1(α_t) (α - α_t) ++ \frac{1}{2} c_2(α_t) (α - α_t)^2\]

where

\[c_1(α_t) = \sum_{j=1}^J \text{real}(⟨ ∇f_j(u_j + α_t v_j), v_j ⟩) +,\qquad +c_2(α_t) = \sum_{j=1}^J v_j' D_j(u_j + α_t v_j) v_j.\]

The line_search_mm function in this package uses this quadratic majorizer to update $α$ using the iteration

\[α_{t+1} += \arg\min_{α} q(α;α_t) += α_t - c_1(α_t) / c_2(α_t).\]

Being an MM algorithm, it is guaranteed to decrease $h(α)$ every update. For an early exposition of this approach, see Fessler & Booth, 1999.

From the above derivation, the main ingredients needed are functions for computing the dot products $⟨ ∇f_j(u_j + α_t v_j), v_j ⟩$ and $v_j' D_j(u_j + α_t v_j) v_j$.

The line_search_mm function can construct such functions given input gradient functions $[∇f_1,…,∇f_J]$ and curvature functions $[ω_1,…,ω_J]$ where $D_j(z) = \text{Diag}(ω_j(z))$.

Alternatively, the user can provide functions for computing the dot products.

All of this is best illustrated by an example.

Smooth LASSO problem

The usual LASSO optimization problem uses the cost function

\[f(x) = \frac{1}{2} \| A x - y \|_2^2 + β R(x) +,\qquad +R(x) = \| x \|_1 = \sum_{n=1}^N |x_n| = 1' \text{abs.}(x).\]

The 1-norm is just a relaxation of the 0-norm so here we further "relax" it by considering the "corner rounded" version using the Fair potential function

\[R(x) = \sum_{n=1}^N ψ(x_n) = 1' ψ.(x), +\qquad +ψ(z) = δ^2 |z/δ| - \log(1 + |z/δ|)\]

for a small value of $δ$.

The derivative of this potential function is $\dot{ψ}(z) = z / (1 + |z / δ|)$ and Huber's curvature $ω_{ψ}(z) = 1 / (1 + |z / δ|)$ provides a suitable majorizer.

This smooth LASSO cost function has the general form above with $J=2$, $B_1 = A$, $B_2 = I$, $f_1(u) = \frac{1}{2} \| u - y \|_2^2,$ $f_2(u) = β 1' ψ.(u),$ for which $∇f_1(u) = u - y,$ $∇f_2(u) = β ψ.(u),$ and $∇^2 f_1(u) = I,$ $∇^2 f_2(u) \succeq β \, \text{diag}(ω_{ψ}(u)).$

Set up an example and plot $h(α)$.

Fair potential, its derivative and Huber weighting function:

function fair_pot()
+    fpot(z,δ) = δ^2 * (abs(z/δ) - log(1 + abs(z/δ)))
+    dpot(z,δ) = z / (1 + abs(z/δ))
+    wpot(z,δ) = 1 / (1 + abs(z/δ))
+    return fpot, dpot, wpot
+end;

Data, cost function and gradients for smooth LASSO problem:

M, N = 1000, 2000
+A = randn(M,N)
+x0 = randn(N) .* (rand(N) .< 0.4) # sparse vector
+y = A * x0 + 0.001 * randn(M)
+β = 95
+δ = 0.1
+fpot, dpot, wpot = Base.Fix2.(fair_pot(), δ)
+
+f(x) = 0.5 * norm(A * x - y)^2 + β * sum(fpot, x)
+∇f(x) = A' * (A * x - y) + β * dpot.(x)
+x = randn(N) # random point
+d = -∇f(x)/M # some search direction
+h(α) = f(x + α * d)
+dh(α) = d' * ∇f(x + α * d)
+pa = plot(h, xlabel="α", ylabel="h(α)", xlims=(-1, 2))
Example block output

Apply MM-based line search: simple version. The key inputs are the gradient and curvature functions:

gradf = [
+    u -> u - y, # ∇f₁ for data-fit term
+    u -> β * dpot.(u), # ∇f₂ for regularizer
+]
+curvf = [
+    1, # curvature for data-fit term
+    u -> β * wpot.(u), # Huber curvature for regularizer
+]
+
+uu = [A * x, x] # [u₁ u₂]
+vv = [A * d, d] # [v₁ v₂]
+fun(state) = state.α # log this
+ninner = 7
+out = Vector{Any}(undef, ninner+1)
+α0 = 0
+αstar = line_search_mm(gradf, curvf, uu, vv; ninner, out, fun, α0)
+hmin = h(αstar)
+scatter!([αstar], [hmin], marker=:star, color=:red)
+scatter!([α0], [h(α0)], marker=:circle, color=:green)
+ps = plot(0:ninner, out, marker=:circle, xlabel="iteration", ylabel="α",
+    color = :green)
+pd = plot(0:ninner, abs.(dh.(out)), marker=:diamond,
+    yaxis = :log, color=:red,
+    xlabel="iteration", ylabel="|dh(α)|")
+pu = plot(1:ninner, log10.(max.(abs.(diff(out)), 1e-16)), marker=:square,
+    color=:blue, xlabel="iteration", ylabel="log10(|α_k - α_{k-1}|)")
+plot(pa, ps, pd, pu)
Example block output

Thanks to Huber's curvatures, the $α_t$ sequence converges very quickly.

Now explore a fancier version that needs less heap memory.

work = LineSearchMMWork(uu, vv, α0) # pre-allocate
+function lsmm1(gradf, curvf)
+    return line_search_mm(gradf, curvf, uu, vv;
+        ninner, out, fun, α0, work)
+end
+function lsmm2(dot_gradf, dot_curvf)
+    gradn = [() -> nothing, () -> nothing]
+    return line_search_mm(uu, vv, dot_gradf, dot_curvf;
+        ninner, out, fun, α0, work)
+end;

The let statements below are a performance trick from the Julia manual. Using Iterators.map avoids allocating arrays like z - y and does not even require any work space.

gradz = [
+    let y=y; z -> Iterators.map(-, z, y); end, # z - y
+    let β=β, dpot=dpot; z -> Iterators.map(z -> β * dpot(z), z); end, # β * dψ.(z)
+]
+curvz = [
+    1,
+    let β=β, wpot=wpot; z -> Iterators.map(z -> β * wpot(z), z); end, # β * ωψ.(z)
+]
+
+function make_grad1c()
+    w = similar(uu[1]) # work-space
+    let w=w, y=y
+        function grad1c(z)
+            @. w = z - y
+            return w
+        end
+    end
+end
+
+function make_grad2c()
+    w = similar(uu[2]) # work-space
+    let w=w, β=β, dpot=dpot
+        function grad2c(z)
+            @. w = β * dpot(z)
+            return w
+        end
+    end
+end
+
+function make_curv2c()
+    w = similar(uu[2]) # work-space
+    let w=w, β=β, wpot=wpot
+        function curv2c(z)
+            @. w = β * wpot(z) # β * ωψ.(z)
+            return w
+        end
+    end
+end
+
+gradc = [ # capture version
+    make_grad1c(), # z - y
+    make_grad2c(), # β * dψ.(z)
+]
+curvc = [
+    1,
+    make_curv2c(), # β * ωψ.(z)
+]
+
+sum_map(f::Function, args...) = sum(Iterators.map(f, args...))
+dot_gradz = [
+    let y=y; (v,z) -> sum_map((v,z,y) -> dot(v, z - y), v, z, y); end, # v'(z - y)
+    let β=β, dpot=dpot; (v,z) -> β * sum_map((v,z) -> dot(v, dpot(z)), v, z); end, # β * (v'dψ.(z))
+]
+dot_curvz = [
+    (v,z) -> norm(v)^2,
+    let β=β, wpot=wpot; (v,z) -> β * sum_map((v,z) -> abs2(v) * wpot(z), v, z); end, # β * (abs2.(v)'ωψ.(z))
+]
+
+
+a1 = lsmm1(gradf, curvf)
+a1c = lsmm1(gradc, curvc)
+a2 = lsmm1(gradz, curvz)
+a3 = lsmm2(dot_gradz, dot_curvz)
+@assert a1 ≈ a2 ≈ a3 ≈ a1c
+
+b1 = @benchmark a1 = lsmm1($gradf, $curvf)
BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):   84.316 μs … 215.962 ms  ┊ GC (min … max):  0.00% … 99.81%
+ Time  (median):      93.158 μs               ┊ GC (median):     0.00%
+ Time  (mean ± σ):   130.257 μs ±   2.168 ms  ┊ GC (mean ± σ):  21.63% ±  7.71%
+
+  ▅█▇▇▄▂▂▁                                        ▁▃▂           ▂
+  ████████▇▆▆▄▃▃▁▁▁▁▁▁▃▁▁▁▁▁▃▁▁▃▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▃▁███▇▆▇▆▄▁▃▄▃▄ █
+  84.3 μs       Histogram: log(frequency) by time        327 μs <
+
+ Memory estimate: 502.16 KiB, allocs estimate: 239.
bc = @benchmark a1c = lsmm1($gradc, $curvc)
BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):  65.171 μs … 180.085 μs  ┊ GC (min … max): 0.00% … 0.00%
+ Time  (median):     66.924 μs               ┊ GC (median):    0.00%
+ Time  (mean ± σ):   67.308 μs ±   2.337 μs  ┊ GC (mean ± σ):  0.00% ± 0.00%
+
+   ▁▂▄▅▇███▇▆▄▃▂▁ ▁                                            ▂
+  ▆███████████████████▇██▆▇▆▆▆▅▆▄▅▄▄▅▅▅▅▆▅▆▄▅▅▃▅▁▄▁▅▅▆▇▆▇▇▆▆▇▆ █
+  65.2 μs       Histogram: log(frequency) by time      78.8 μs <
+
+ Memory estimate: 4.95 KiB, allocs estimate: 179.
b2 = @benchmark a2 = lsmm1($gradz, $curvz)
BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):  112.118 μs … 317.559 μs  ┊ GC (min … max): 0.00% … 0.00%
+ Time  (median):     113.481 μs               ┊ GC (median):    0.00%
+ Time  (mean ± σ):   114.573 μs ±   6.534 μs  ┊ GC (mean ± σ):  0.00% ± 0.00%
+
+   ▆██▇▆▅▅▃▂▂▁                                                  ▂
+  ███████████████▇▆▆▆▅▄▅▅▄▅▄▄▄▄▃▅▇███▇▇▇▆▆▆▆▆▅▅▅▅▅▄▅▅▅▂▄▅▅▆▅▅▅▆ █
+  112 μs        Histogram: log(frequency) by time        134 μs <
+
+ Memory estimate: 4.91 KiB, allocs estimate: 179.
b3 = @benchmark a3 = lsmm2($dot_gradz, $dot_curvz)
BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):  101.438 μs … 156.280 μs  ┊ GC (min … max): 0.00% … 0.00%
+ Time  (median):     102.791 μs               ┊ GC (median):    0.00%
+ Time  (mean ± σ):   103.650 μs ±   2.727 μs  ┊ GC (mean ± σ):  0.00% ± 0.00%
+
+     █▃                                                          
+  ▂▄▄██▄▂▃▅▄▂▄█▅▂▂▂▂▂▂▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ ▂
+  101 μs           Histogram: frequency by time          115 μs <
+
+ Memory estimate: 2.08 KiB, allocs estimate: 110.

Timing results on my Mac:

  • 95 μs
  • 65 μs # 1c after using make_
  • 80 μs
  • 69 μs (and lowest memory)

The versions using gradc and dot_gradz with their "properly captured" variables are the fastest. But all the versions here are pretty similar so even using the simplest version seems likely to be fine.

Compare with LineSearches.jl

Was all this specialized effort useful? Let's compare to the general line search methods in LineSearches.jl.

It seems that some of those methods do not allow $α₀ = 0$ so we use 1.0 instead. We use the default arguments for all the solvers, which means some of them might terminate before ninner iterations, giving them a potential speed advantage.

a0 = 1.0 # α0
+hdh(α) = h(α), dh(α)
+h0 = h(0)
+dh0 = dh(0);
+function ls_ls(linesearch)
+    a1, fx = linesearch(h, dh, hdh, a0, h0, dh0)
+    return a1
+end;
+
+solvers = [
+    BackTracking( ; iterations = ninner),
+    HagerZhang( ; linesearchmax = ninner),
+    MoreThuente( ; maxfev = ninner),
+]
+for ls in solvers # check that they work properly
+    als = ls_ls(ls)
+    @assert isapprox(als, αstar; atol=1e-3)
+end;
bbt = @benchmark ls_ls($(solvers[1]))
BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):  349.660 μs … 211.007 ms  ┊ GC (min … max): 0.00% … 99.43%
+ Time  (median):     362.007 μs               ┊ GC (median):    0.00%
+ Time  (mean ± σ):   400.795 μs ±   2.110 ms  ┊ GC (mean ± σ):  5.73% ±  2.60%
+
+   ▄█▁                                                           
+  ▃███▅▃▃▄▄▃▂▂▂▂▄█▇▅▃▃▃▃▃▃▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▁▂▂▂▂▂▂▂▂▂ ▃
+  350 μs           Histogram: frequency by time          516 μs <
+
+ Memory estimate: 95.70 KiB, allocs estimate: 62.
bhz = @benchmark ls_ls($(solvers[2]))
BenchmarkTools.Trial: 4976 samples with 1 evaluation.
+ Range (min … max):  912.815 μs … 203.597 ms  ┊ GC (min … max): 0.00% … 99.17%
+ Time  (median):     930.620 μs               ┊ GC (median):    0.00%
+ Time  (mean ± σ):     1.002 ms ±   2.879 ms  ┊ GC (mean ± σ):  4.52% ±  3.38%
+
+   ▂█▅▁                                                          
+  ▃████▇█▇▅▄▃▃▃▃▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▃▄▅▄▃▃▃▃▃▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▁▁▂ ▃
+  913 μs           Histogram: frequency by time         1.13 ms <
+
+ Memory estimate: 316.70 KiB, allocs estimate: 67.
bmt = @benchmark ls_ls($(solvers[3]))
BenchmarkTools.Trial: 3286 samples with 1 evaluation.
+ Range (min … max):  1.370 ms … 204.096 ms  ┊ GC (min … max): 0.00% … 98.79%
+ Time  (median):     1.400 ms               ┊ GC (median):    0.00%
+ Time  (mean ± σ):   1.519 ms ±   3.553 ms  ┊ GC (mean ± σ):  4.68% ±  3.50%
+
+  ▇█▇▅▃▁       ▅▅▃▁                                           ▁
+  ███████▇▆▆▆▇▇█████▅▇▅▄▄▆▅▁▅▆▆▆▅▆▅▃▃▁▃▃▁▃▁▃▁▁▁▁▁▁▁▁▃▁▁▄▁▃▃▅▅ █
+  1.37 ms      Histogram: log(frequency) by time      2.21 ms <
+
+ Memory estimate: 475.27 KiB, allocs estimate: 148.

On my Mac the timings are all much longer compared to line_search_mm:

  • 840 μs BackTracking
  • 2.6 ms HagerZhang
  • 3.9 ms MoreThuente

This comparison illustrates the benefit of the "special purpose" line search.

The fastest version seems to be BackTracking, so plot its iterates:

alpha_bt = zeros(ninner + 1)
+alpha_bt[1] = a0
+for iter in 1:ninner
+    tmp = BackTracking( ; iterations = iter)
+    alpha_bt[iter+1] = ls_ls(tmp)
+end
+plot(0:ninner, alpha_bt, marker=:square, color=:blue,
+    xlabel="Iteration", ylabel="BackTracking α")
+plot!([0, ninner], [1,1] * αstar, color=:red)
Example block output

Unexpectedly, BackTracking seems to terminate at the first iteration. But even just that single iteration is slower than 7 iterations of line_search_mm.

prompt()

Reproducibility

This page was generated with the following version of Julia:

using InteractiveUtils: versioninfo
+io = IOBuffer(); versioninfo(io); split(String(take!(io)), '\n')
12-element Vector{SubString{String}}:
+ "Julia Version 1.10.5"
+ "Commit 6f3fdf7b362 (2024-08-27 14:19 UTC)"
+ "Build Info:"
+ "  Official https://julialang.org/ release"
+ "Platform Info:"
+ "  OS: Linux (x86_64-linux-gnu)"
+ "  CPU: 4 × AMD EPYC 7763 64-Core Processor"
+ "  WORD_SIZE: 64"
+ "  LIBM: libopenlibm"
+ "  LLVM: libLLVM-15.0.7 (ORCJIT, znver3)"
+ "Threads: 1 default, 0 interactive, 1 GC (on 4 virtual cores)"
+ ""

And with the following package versions

import Pkg; Pkg.status()
Status `~/work/MIRT.jl/MIRT.jl/docs/Project.toml`
+  [6e4b80f9] BenchmarkTools v1.5.0
+  [e30172f5] Documenter v1.7.0
+  [d3d80556] LineSearches v7.3.0
+  [98b081ad] Literate v2.19.0
+  [7035ae7a] MIRT v0.18.2 `~/work/MIRT.jl/MIRT.jl`
+  [170b2178] MIRTjim v0.25.0
+  [91a5bcdd] Plots v1.40.8
+  [b77e0a4c] InteractiveUtils
+  [9a3f8284] Random

This page was generated using Literate.jl.

diff --git a/dev/index.html b/dev/index.html index 0995cf7c..1defb13e 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Home · MIRT.jl
Edit on GitHub

MIRT: The Michigan Image Reconstruction Toolbox

MIRT.jl is a collection of Julia functions for performing image reconstruction and solving related inverse problems.

It is very much still under construction, although there are already enough tools to solve useful problems like compressed sensing MRI reconstruction. Trying the demos is a good way to get started.

The documentation is even more still under construction.

Further examples will likely be shared at JuliaImageRecon; see Examples there.

+Home · MIRT.jl
GitHub

MIRT: The Michigan Image Reconstruction Toolbox

MIRT.jl is a collection of Julia functions for performing image reconstruction and solving related inverse problems.

It is very much still under construction, although there are already enough tools to solve useful problems like compressed sensing MRI reconstruction. Trying the demos is a good way to get started.

The documentation is even more still under construction.

More complete examples are at JuliaImageRecon; see Examples there.

diff --git a/dev/methods/index.html b/dev/methods/index.html new file mode 100644 index 00000000..b9344b5d --- /dev/null +++ b/dev/methods/index.html @@ -0,0 +1,24 @@ + +Methods · MIRT.jl
GitHub

Methods list

Methods usage

MIRT.MIRT — Module
MIRT is the Michigan Image Reconstruction Toolbox
source
MIRT.LineSearchMM — Method
LineSearchMM(gradf, curvf, u, v; α0 ...)
+LineSearchMM(u, v, dot_gradf, dot_curvf; α0 ...)

Construct iterator for line-search based on majorize-minimize (MM) approach for a general family of 1D cost functions of the form $h(α) = \sum_{j=1}^J f_j(u_j + α v_j)$ where each function $f_j(t)$ has a quadratic majorizer of the form

\[q_j(t;s) = f_j(t) + \nabla f_j(s) (t - s) + 1/2 \|t - s\|^2_{C_j(s)}\]

where $C_j(⋅)$ is diagonal matrix of curvatures. (It suffices for each $f_j$ to have a Lipschitz smooth gradient.)

Each function $f_j : \mathcal{X}_j ↦ \mathbb{R}$ where conceptually $\mathcal{X}_j ⊆ \mathbb{R}^{M_j}$, but we allow more general domains.

There are two outer constructors (based on the positional arguments):

  • The simple way (not type stable) provides
    • gradf vector of $J$ functions return gradients of $f_1,…,f_J$
    • curvf vector of $J$ functions z -> curv(z) that return a scalar or a vector of curvature values for each element of $z$
  • The fancier way (type stable) provides
    • dot_gradf::AbstractVector{<:Function} = make_dot_gradf.(gradf) See make_dot_gradf.
    • dot_curvf::AbstractVector{<:Function} = make_dot_curvf.(curvf) See make_dot_curvf.

in

  • u vector of $J$ arrays $u_1,…,u_J$ (typically vectors)
  • v vector of $J$ arrays $v_1,…,v_J$ (typically vectors)

We require axes(u_j) == axes(v_j) for all $j=1,…,J$.

option

  • α0::Real = 0f0 initial guess for step size
  • ninner::Int = 5 # max number of inner iterations of MM line search
  • work = LineSearchMMWork(u, v, α) pre-allocated work space for $u_j+α v_j$
source
MIRT.LineSearchMMWork — Type
LineSearchMMWork{Tz <: AbstractVector{<:AbstractArray}}

Workspace for storing $z_j = u_j + α v_j$ in MM-based line search.

If all of those $z_j$ arrays had the same eltype, then we could save memory by allocating just the longest vector needed. But for Unitful data they could have different eltypes and sizes, which would require a lot of reinterpret and reshape to handle. So we just allocate separate work arrays for each $j$.

source
MIRT.Afft — Method
A = Afft(samp::AbstractArray{Bool} ; T, dims, operator, work, ...)

Make a LinearMapAO operator object for (under-sampled) FFT, of type T, using given sampling pattern samp. Especially for compressed sensing MRI with Cartesian sampling.

Option:

  • T::Type = ComplexF32
  • dims = 1:D apply fft/bfft only along these dimensions
  • fft_forward::Bool = true Use false to have bfft! in forward model.
  • operator::Bool = true set to false to return a LinearMapAM
  • work::AbstractArray work space for in-place fft operations
  • remaining arguments are passed to plan_fft

Output

Returns a LinearMapsAA.LinearMapA[M|O] object.

source
MIRT.Afft — Method
A = Afft(xdim::Dims, fdim ; T, operator, unitary, work, ...)

Make a <:LinearMapAX operator object for the FFT of an array of size xdim, along dimensions fdim, of type T.

In:

  • xdim::Dims{D} array size
  • fdim = 1:D apply fft/bfft only along these dimensions

Option:

  • T::Type = ComplexF32
  • operator::Bool = true return a LinearMapAO set to false to return a LinearMapAM
  • unitary::Bool = false set to true for unitary DFT
  • work::AbstractArray work space for in-place fft operations
  • remaining arguments are passed to plan_fft

Output

Returns a LinearMapsAA.LinearMapA[M|O] object.

source
MIRT.Anufft — Method
Anufft(ω, N ; kwargs ...)

Make a LinearMapAO object of size length(ω) × prod(N). See nufft_init for options.

source
MIRT.Aodwt — Method
A, levels, mfun = Aodwt(dims ; level::Int=3, wt=wavelet(WT.haar))

Create orthogonal discrete wavelet transform (ODWT) LinearMapAA

in

  • dims::Dims tuple of dimensions

option

  • level::Int # of levels; default 3
  • wt wavelet transform type (see Wavelets package); default Haar
  • operator::Bool=true default to LinearMapAO
  • T::Type : Float32 by default; use ComplexF32 if needed

out

  • A a LinearMapAX object
  • scales array of size dims showing the scale of each coefficient

which is useful when imposing scale-dependent regularization

  • mfun convenience function for A*X when X is a Matrix or Array (not vector)

2019-02-23 Jeff Fessler, University of Michigan

source
MIRT.Asense — Method
Asense(samp, smaps; T)

Construct a MRI encoding operator model for D-dimensional Cartesian sampling pattern samp and coil sensitivity maps smaps.

The input smaps can either be a D+1 dimensional array of size (size(samp)..., ncoil), or a Vector of ncoil arrays of size size(samp).

Input

  • samp::AbstractArray{<:Bool} D-dimensional sampling pattern.
  • smaps::Vector{<:AbstractArray{<:Number}} or AbstractArray{<:Number}

Option

  • T::Type = ComplexF32
  • dims = 1:D apply fft/bfft only along these dimensions
  • fft_forward::Bool = true Use false to have bfft! in forward model.
  • unitary::Bool = false set to true for unitary DFT
  • remaining arguments are passed to plan_fft

Output

Returns a LinearMapsAA.LinearMapAO object.

source
MIRT._show_struct — Method
_show_struct(io::IO, ::MIME"text/plain", st::Any)

Informative way to show fields of a struct (composite type).

source
MIRT.caller_name — Method
caller_name() or caller_name(;level=4)

Return "filename line fun():" as a string to describe where this function was called.

Stack levels:

  • 1: #caller_name
  • 2: caller_name()
  • 3: function that invoked caller()
  • 4: the calling function we want to return

Hence the default level is 4, but we increment it by one in case user says @show caller_name() in which case stack[3] is a macro expansion.

source
MIRT.diff_adj — Method
Z = diff_adj(dx, N::Dims{D} ; dims = 1:D)

Adjoint of finite differences of arrays along one or more dimensions. By default performs the same operations as $vec(Z) = [(I_{N_d} \otimes \cdots \otimes D_{N_1}); \dots; (D_{N_d} \otimes \cdots \otimes I_{N_1})]' * d$ where D_N denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).

in

  • dx vector of typical length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1
  • N::Dims desired output size

option

  • dims dimension(s) for performing adjoint finite differences; default 1:ndims(X)

out

  • Z N_1 × ... × N_d array by default
source
MIRT.diff_forw — Method
d = diff_forw(X ; dims = 1:ndims(X))

Finite differences along one or more dimensions of an array, e.g., for anisotropic TV regularization.

By default performs the same operations as $d = [(I_{N_d} \otimes \cdots \otimes D_{N_1}); \dots; (D_{N_d} \otimes \cdots \otimes I_{N_1})] vec(X)$ where $D_N$ denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).

Input dimension N must exceed 1 for each dimension specified by dims.

in

  • X N_1 × ... × N_d array (typically an N-D image).

option

  • dims dimension(s) for performing finite differences; default 1:ndims(X)

must have unique elements and be a nonempty subset of 1:ndims(X)

out

  • d vector of default length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1
source
MIRT.diff_map — Method
T = diff_map(N::Dims{D} ; dims = 1:D)

in

  • N::Dims image size

out

  • T LinearMapAA object for computing finite differences via T*x
source
MIRT.diffl! — Method
diffl!(g::AbstractArray, x::AbstractArray, dims::AbstractVector{Int} ; ...)

When x is a N-dimensional array, the ith slice of the g array (along its last dimension) is the diffl! of x along dims[i]. This is useful for total variation (TV) and other regularizers that need finite differences along multiple dimensions.

source
MIRT.diffl! — Method
diffl!(g::AbstractArray, x::AbstractArray, dim::Int ; ...)

Apply left finite difference operator to input array x, storing the result "in-place" in pre-allocated output array g. (The letter g is mnemonic for "gradient".)

Arrays g and x must have the same size, and cannot alias. By default, the "first" elements of g are zero for dimension dim. The default is dim=1.

Option:

  • add::Bool = false use x[i] + x[i-1] instead of x[i] - x[i-1] (useful for certain diagonal majorizers).
  • edge::Symbol = :zero set the first elements of dimension dim to 0
    • Choose edge=:circ to use circulant (aka periodic) boundary conditions.
    • Choose edge=:none to leave the first elements untouched.

Example

julia> x = [2, 6, 7]; g = similar(x); diffl!(g, x)
+3-element Vector{Int64}:
+ 0
+ 4
+ 1
source
MIRT.diffl — Method
g = diffl(x::AbstractArray, dims::AbstractVector{Int} ; ...)

Allocating version of diffl! for dims

source
MIRT.diffl — Method
g = diffl(x::AbstractArray, dim::Int ; ...)

Allocating version of diffl! along dim

Example

julia> x = [1,2] .+ [10 30 70]; g = diffl(x, 2)
+2×3 Matrix{Int64}:
+ 0  20  40
+ 0  20  40
source
MIRT.diffl — Method
g = diffl(x::AbstractArray ; ...)

Allocating version of diffl! along dim=1

source
MIRT.diffl_adj! — Method
diffl_adj!(z::AbstractArray, g::AbstractArray, dims::AbstractVector{Int} ; ...)

Adjoint of diffl! for multiple dimensions dims. Here g must have one more dimension than z.

source
MIRT.diffl_adj! — Method
diffl_adj!(z, g, dim::Int ; ...)

Adjoint of left finite difference diffl!, in-place. Arrays z and g must be same size. See diffl_adj for details.

source
MIRT.diffl_adj — Method
z = diffl_adj(g::AbstractArray, dim::Int ; ...)

Allocating version of diffl_adj! along dim.

Example

julia> g = ones(Int,2,3); z = diffl_adj(g, 2)
+2×3 Matrix{Int64}:
+ -1  0  1
+ -1  0  1
source
MIRT.diffl_adj — Method
z = diffl_adj(g::AbstractArray ; ...)

Allocating version of diffl_adj! along dim=1.

Example

julia> g = [0, 2, 5]; z = diffl_adj(g)
+3-element Vector{Int64}:
+ -2
+ -3
+  5
source
MIRT.diffl_adj — Method
z = diffl_adj(g::AbstractArray, dims::AbstractVector{Int} ; ...)

Allocating version of diffl_adj! for dims.

source
MIRT.diffl_map — Method
T = diffl_map(N::Dims{D}, dims::AbstractVector{Int} ; kwargs...)
+T = diffl_map(N::Dims{D}, dim::Int ; kwargs...)

in

  • N::Dims image size

options: see diffl!

  • T::Type for LinearMapAA, default Float32
  • operator::Bool = true use false for LinearMapAM

out

  • T LinearMapAA object for computing finite differences via T*x

using diffl! and diffl_adj!

source
MIRT.downsample1 — Method
y = downsample1(x, down ; warn=true)

Downsample 1D vector by factor down.

in

  • x [n1]
  • down::Int downsampling factor

option

  • warn::Bool warn if noninteger multiple; default isinteractive()

out

  • y [n1/down]
source
MIRT.downsample2 — Method
y = downsample2(x, down ; warn=true, T)

Downsample by averaging by integer factors.

in

  • x [nx ny]
  • down can be a scalar (same factor for both dimensions) or a NTuple{2,Int}

option

  • warn::Bool warn if noninteger multiple; default isinteractive()
  • T::Type specify output eltype; default eltype(x[1] / down[1])

out

  • y [nx/down ny/down]
source
MIRT.downsample3 — Method
y = downsample3(x, down ; warn=true, T)

Downsample by averaging by integer factors.

in

  • x (nx,ny,nz)
  • down can be a scalar (same factor for all dimensions) or a NTuple{3,Int}

option

  • warn::Bool warn if noninteger multiple; default true
  • T::Type specify output eltype; default eltype(x[1] / down[1])

out

  • y (nx/down,ny/down,nz/down)
source
MIRT.downsample_dim1 — Method
y = downsample_dim1(x, down ; warn::Bool)

Down-sample x by factor down along first dimension by averaging.

in

  • x [n1 (Nd)]
  • down::Int downsampling factor

option

  • warn::Bool warn if non-integer multiple; default isinteractive()

out

  • y [n1÷down (Nd)]
source
MIRT.dtft — Method
X = dtft(w, x ; n_shift=?)

multi-dimensional DTFT (DSFT)

$X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m,:] (n - n_{shift})), m=1,…,M$ where here n is a CartesianIndex

in

  • w::AbstractMatrix{<:Real} (M,D) frequency locations ("units" radians/sample)
  • x::AbstractArray{<:Number} [(Nd)] D-dimensional signal

option

  • n_shift::AbstractVector{<:Real} often is N/2; default zeros(D)

out

  • X::AbstractVector{ComplexF64} (M) DTFT
source
MIRT.dtft — Method
X = dtft(w, x ; n_shift=?)

1D DTFT

$X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m] (n - n_{shift})), m=1,…,M$

in

  • w::AbstractVector{<:Real} (M) frequency locations ("units" radians/sample)
  • x::AbstractVector{<:Number} (N) 1D signal

option

  • n_shift::Real often is N/2; default 0

out

  • X::AbstractVector{ComplexF64} [M] DTFT
source
MIRT.dtft_adj — Method
x = dtft_adj(w, X, N ; n_shift=?)

adjoint for multi-dimensional DTFT (DSFT)

$x[n] = \sum_{m=1}^M X[m] \exp(i w[m,:] (n - n_{shift})), n=0,…,N-1$ where here n is a CartesianIndex

in

  • X::AbstractVector{ComplexF64} (M) DTFT
  • w::AbstractMatrix{<:Real} (M,D) frequency locations ("units" radians/sample)
  • N::Dims (D) dimensions of signal x

option

  • n_shift::AbstractVector{<:Real} often is N/2; default zeros(D)
  • T::Type default (eltype(w) == Float64) ? ComplexF64 : ComplexF32

out

  • x::AbstractArray{<:Number} [(N)] D-dimensional signal
source
MIRT.dtft_adj — Method
x = dtft_adj(w, X, N ; n_shift=?)

adjoint for 1D DTFT

$x[n] = \sum_{m=1}^M X[m] \exp(i w[m] (n - n_{shift})), n=0,…,N-1$

This is the adjoint (transpose) of dtft, not an inverse DTFT.

in

  • w::AbstractVector{<:Real} (M) frequency locations ("units" radians/sample)
  • X::AbstractVector{ComplexF64} (M) spectrum values
  • N::Int size of signal x

option

  • n_shift::Real often is N/2; default 0
  • T::Type output data type; default ComplexF64

out

  • x::AbstractVector{<:Number} (N) signal
source
MIRT.dtft_init — Method
d = dtft_init(w, N ; n_shift=?)

for multi-dimensional DTFT (DSFT)

in

  • w::AbstractMatrix{<:Real} (M,D) frequency locations ("units" radians/sample)
  • N::Dims [D] dimensions of signal x

option

  • n_shift::AbstractVector{<:Real} often is N/2; default zeros(D)
  • T::Type default ComplexF64 for testing NUFFT accuracy

out

  • d::NamedTuple with fields dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO
source
MIRT.dtft_init — Method
d = dtft_init(w, N ; n_shift=?)

For 1D DTFT

in

  • w::AbstractVector{<:Real} (M) frequency locations ("units" radians/sample)
  • N::Int size of signal x

option

  • n_shift::Real often is N/2; default 0
  • T::Type default ComplexF64 for testing NUFFT accuracy

out

  • d::NamedTuple with fields dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO
source
MIRT.embed! — Method
embed!(array, v, mask ; filler=0)

embed vector v of length sum(mask) into elements of array where mask is true, setting the remaining elements to filler (default 0).

source
MIRT.embed — Method
array = embed(matrix::AbstractMatrix{<:Number}, mask::AbstractArray{Bool})

Embed each column of matrix into mask then cat along next dimension In:

  • matrix [sum(mask) L]
  • mask [(N)]

Out:

  • array [(N) L]
source
MIRT.embed — Method
array = embed(v, mask ; filler=0)

embed vector v of length sum(mask) into elements of an array where mask is true; see embed!.

source
MIRT.eql_root — Method
x = eql_root(a,b,c)

Numerically stable method for computing the positive root of the quadratic polynomial -ax^2 - 2bx + c, a >= 0. Assumes solvable equations; will throw otherwise.

in

  • a The negative of the x^2 term. Must be positive.
  • b Half the negative of the x term.
  • c The constant term.

out

  • x The positive root that satisfies 0 = -ax^2 - 2bx + c.
source
MIRT.exp_mult — Method
D = exp_mult(A, u, v ; warnboth)

Memory efficient and fast implementation of D = A' * exp(-u * v^T) that is useful for B0-field-corrected MRI image reconstruction.

in

  • A [N L] matrix
  • u [N] vector
  • v [M] vector
  • warnboth warn if both u and v are complex; default: true

out

  • D [L M] complex vector: D = A' * exp(-u * v^T)

D_lm = sum_n A_nl^* exp(-u_n v_m)

source
MIRT.exp_xform — Method
exp_xform(x, u, v ; mode::Symbol = :matrix)

in

  • x [N L] possibly complex vector(s)
  • u [D N] possibly complex vectors
  • v [D M] possibly complex vectors
  • mode::Symbol :matrix (default) | :element | :row | :column

out

  • y [M L] typically complex vector

y[m,l] = sum_n x[n,l] exp(-sum(u[:,n] .* v[:,m]))

Iterates through subsets of the ML matrix designated by :mode (i.e. row, column, element, or just computing the entire matrix) This is the 'slow' 'exact' transform model for MRI.

Output type will depend on input types.

source
MIRT.genkspace — Method
genkspace

Generate the proper length of k-space trajectory.

It linearly interpolates the output of genspiral to the correct length() & takes care of the rotations for the interleaves.

  • ld is the length of the data
  • nint is the number of interleaves

Brad Sutton; University of Michigan

source
MIRT.genspi — Method
Gx, Gy, kx, ky, sx, sy, gts = genspi(...)

This is translation of C code from scanner: exactly what is played out to gradients at 4us.

Multi-shot spiral design uses Duyn's approximate slewrate limited design augmented with archimedean gmax limit

in [args]

  • D = FOV; cm

  • N = matrix size()

  • Tmax = longest acquisition allowed; s

  • dts = output sample spacing; s

  • gtype = trajectory type()

option [CVs]

  • nl = number of interleaves
  • gamp = design grad max; G/cm
  • gslew = design slew rate; mT/m/ms
  • nramp = number of rampdown points; default 0

out

  • Gx; Gy

time is in sec()

  • rev 0 12/26/98 original
  • rev 1 4/15/99 little better calc of ts

Borrowed from Doug Noll; Univ. of Michigan. Modified to take more input cv's.

source
MIRT.getindex! — Method
getindex!(y::AbstractVector, x::AbstractArray{T,D}, mask::AbstractArray{Bool,D})

Equivalent to the in-place y .= x[mask] but is non-allocating.

For non-Boolean indexing, just use @views y .= A[index], per https://discourse.julialang.org/t/efficient-non-allocating-in-place-getindex-for-bitarray/42268

source
MIRT.interp1 — Method
yi = interp1(x, y, xi ; how=Gridded(Linear()), extrap=0)

1D interpolation of y = f(x) at points xi

In:

  • x::AbstractVector{<:Real}
  • y::AbstractVector{<:Number}

Option:

  • how::Interpolations.InterpolationType default Gridded(Linear())
  • extrap::Any how to extrapolate, e.g., Flat(); default 0

other options from Interpolations.jl are Line() Periodic() Reflect() Throw()

Output is same size as input xi

source
MIRT.ir_dump — Method
ir_dump(x::Any ; io::IO = stdout)
+ir_dump(io::IO, x::Any)

Show all the fields of a structure or NamedTuple more nicely than dump() does

source
MIRT.ir_mri_coil_compress — Method
(odata, σ, Vr) = ir_mri_coil_compress(idata ; ncoil)

MRI coil compression via PCA. Given multiple MRI surface coil images (idata), use SVD/PCA to find a smaller number of virtual coil images (odata).

In:

  • idata [(N) n_in]: noisy complex images (2D or 3D) for each coil

Option:

  • ncoil Desired # of virtual coils (default: 1)

Out:

  • odata [(N) ncoil]: virtual coil images
  • σ [n_in]: singular values.
  • Vr [n_in, ncoil]: compression matrix for reducing other data.

todo: currently ignores noise correlations

source
MIRT.ir_mri_kspace_ga_radial — Method
kspace = ir_mri_kspace_ga_radial(; Nro=?, Nspoke=?, ...)

Generate k-space sampling pattern for "golden angle" radial sampling.

option

  • Nro:Int number of samples in each readout/spoke, default 256
  • Nspoke::Int number of spokes, default 1
  • start::Real first angle in series [radians], default π/2
  • angle::Real angular spacing [radians], default GA
  • delta_ro::Real readout spacing, default 1/Nro
  • shift::Real shift due to gradient delays, default 0
    • radial sample locations are ir * delta_ro
    • where ir = [-(Nro/2 - 1):1:Nro/2] + shift

out

  • kspace [Nro Nspoke 2] (Float32)

kx and ky k-space locations for Nspoke*Nro samples in interval (-0.5 0.5] for default shift, delta_ro so default units are "cycles / sample"

source
MIRT.ir_mri_sensemap_sim — Method
(smap,info) = ir_mri_sensemap_sim( :all ; kwargs)

Like ir_mri_sensemap_sim but also returns info with data for all coils, mainly for testing and plotting.

source
MIRT.ir_mri_sensemap_sim — Method
(smap,info) = ir_mri_sensemap_sim( ir_ic_pair ; kwargs)

Like ir_mri_sensemap_sim but also returns info with data for specific coils where ir_ic_pair::Vector{Tuple{Int,Int}}. (Usually used internally only.)

  • info::NamedTuple geometry information for plots
source
MIRT.ir_mri_sensemap_sim — Method
smap = ir_mri_sensemap_sim(...)

Simulate 2D or 3D sensitivity maps for sensitivity-encoded MRI based on grivich:00:tmf.

This code makes maps for multiple coils, but does not model coupling between coils, so most likely it is an approximation at best.

option

  • dims::Dims image size; default (64, 64)
  • dx::Real pixel/voxel dimension; default: 3
  • dy::Real pixel/voxel dimension; default: dx
  • dz::Real ""
  • ncoil::Int # of coils total; default 4
  • nring::Int # of rings of coils; default 1
  • rcoil::Real coil radius; default dx * nx / 2 * 0.50
  • dz_coil ring spacing in z; default nz*dz/nring
    • (3D geometry is a cylinder)
  • coil_distance::Real distance of coil center from isocenter
    • for central ring of coils as a multiple of FOVx,
    • where FOVx=nx*dx; default 1.2
  • orbit::Real default 360 [degrees]
  • orbit_start::AbstractVector{<:Real} = fill(0, nring) [degrees]
  • scale::Symbol
    • :none (default)
    • ssos_center make SSoS of center = 1

out

  • smap [dims ncoil] simulated sensitivity maps (complex!)

All length parameters must have same units (e.g., mm or cm)

source
MIRT.ir_mri_smap1 — Method
ir_mri_smap1()

Based on grivich:00:tmf for a circular coil in "x-y plane" of radius "a"

Note that coil x-y plane is not same as object x-y plane!

Returns (i,j,k) components of $B$ vector for each (x,y,z) location.

source
MIRT.jinc — Method
jinc(x)

Return jinc(x) = J1(pi*x)/(2x), where J1 is a Bessel function of the first kind.

Units of x are typically cycles/m.

Return type is promote_type(typeof(x), Float32).

source
MIRT.line_search_mm — Method
α = line_search_mm(args...; opt, fun, kwargs...)

Line-search based on majorize-minimize (MM) approach. This is a wrapper around the iterator LineSearchMM. See its constructors for args and other kwargs.

option

  • fun(state) User-defined function to be evaluated with the state initially and then after each iteration.
  • out::Union{Nothing,Vector{Any}} = nothing optional place to store result of fun for iterates 0,…,ninner: (All missing by default.) This is aVector{Any}of lengthninner+1`.

output

  • α final iterate

This function mutates the optional arguments out and work.

source
MIRT.make_dot_curvf — Method
make_dot_curvf(curv::Function, [x, Tf::Type; w = similar(x)])

Make a function with arguments (v, x) that computes the dot product between abs2.(v) and curv(x) where curv(x) is a curvature function associated with a quadratic majorizer for some real-valued cost function f(x), evaluated at array x, typically for use in a line-search method.

  • For a single-argument gradient function curv(x), this returns the version equivalent to (v, x) -> dot(abs2.(v), curv(x)). This version will be allocating, unless curv has its own internal workspace due to a closure. This version expects only the argument curv.

  • For a two-argument mutating gradient function curv!(w, x), this returns a function equivalent to (v, x) -> dot(abs2.(v), curv!(w, x)) using the keyword argument w as the work array.

  • If curv is simply a real number (a Lipschitz constant), possibly with units, then this returns the function (v, x) -> curv * sum(abs2, v).

If f(x) maps an Array x of elements with units Ux into real numbers with units Uf, then its curvature has units Uf/Ux^2. Those units are relevant to defining the work array w.

in

  • curv::Function see above
  • x an array whose size and eltype is used to allocate w

option

  • Tf::Type = typeof(one(eltype(x))) Specify eltype of function f(x), defaulting to unitless.
  • w = similar(x, typeof(oneunit(Tf) / oneunit(eltype(x))^2)) work space for gradient calculation, with appropriate units (if needed).

out

  • (v, x) -> dot(abs2.(v), curv([w,] x)) or equivalent.
source
MIRT.make_dot_gradf — Method
make_dot_gradf(grad::Function, [x, Tf::Type; w = similar(x)])

Make a function with arguments (v, x) that computes the dot product between an array v and the gradient grad(x) of some real-valued cost function f(x), evaluated at array x, typically for use in a line-search method.

  • For a single-argument gradient function grad(x), this returns the version (v, x) -> dot(v, grad(x)). This version will be allocating, unless grad has its own internal workspace due to a closure. This version expects only the argument grad.

  • For a two-argument mutating gradient function grad!(w, x), this returns a function (v, x) -> dot(v, grad!(w, x)) using the keyword argument w as the work array.

If f(x) maps an Array x of elements with units Ux into real numbers with units Uf, then the gradient ∇f has units Uf/Ux. Those units are relevant to defining the work array w.

in

  • grad::Function see above
  • x an array whose size and eltype is used to allocate w
  • Tf::Type = typeof(one(eltype(x))) Specify eltype of function f(x), defaulting to unitless.

option

  • w = similar(x, typeof(oneunit(Tf) / oneunit(eltype(x)))) work space for gradient calculation, with appropriate units (if needed).

out

  • (v, x) -> dot(v, grad([w,] x)) or equivalent.

Example. Consider the cost function f(x) = sum(sin.(x)) that has gradient g(x) = cos.(x). The simple way here is make_dot_gradf(g), which will return the function (v, x) = dot(v, g(x)) === dot(v, cos.(x)). That will work fine, but the cos.(x) step will be allocating. A better way (for repeated use) is

function g!(work, x)
+   @. work = cos(x) # mutating
+   return work
+end

Then make_dot_gradf(g!, x) will return a function (v,x) that does not allocate (except when first generated via a closure). For this particular example, an even better approach is to directly define dot_gradf(v,x) = sum(vx -> vx[1]*cos(vx[2]), zip(v,x)), but make_dot_gradf is here for more general cases.

source
MIRT.map_many — Method
y = map_many(fun::Function, x::AbstractArray{<:Any}, idim::Dims)

Apply a function fun to leading slices of input x; cousin of mapslices

in

  • fun::Function maps input of size idim to output of some size odim
  • x [idim ldim]

out

  • y [odim ldim]

Example: if fun maps array of size (1,2) to array of size (3,4,5) and if input x has size (1,2,7,8) then output y will have size (3,4,5,7,8) where y[:,:,:,i,j] = fun(x[:,:,i,j])

source
MIRT.mask_or — Method
mask_or(mask)

compress 3D mask to 2D by logical or along z direction

source
MIRT.max_percent_diff — Method
max_percent_diff(s1, s2, [options])

Compute the "maximum percent difference" between two signals: s1, s2.

Default is to normalize by maximum(abs, s1).

options

  • maxboth::Bool = false use max of both arguments to normalize
  • normalize::Bool = false normalize each before comparing
source
MIRT.mri_kspace_spiral — Method
kspace, omega, gradxy = mri_kspace_spiral( [options] )

Make k-space spiral trajectory based on GE 3T scanner constraints

Option:

  • N dimension of reconstructed image
  • Nt # of time points
  • fov field of view in cm
  • dt time sampling interval out; default 5e-6 sec
  • gamp::Real design gradient amplitude max, G/cm; default 2.2
  • gslew::Int design slew rate, mT/m/ms; default 180

Out:

  • kspace [Nt,2] kspace trajectory [kx ky] in cycles/cm, NO: cycles/FOV
  • omega [Nt,2] "" in radians
  • gradxy [Nt 2] gradient waveforms in (units?)
source
MIRT.mri_trajectory — Method
kspace, omega, wi = mri_trajectory( ; ktype, N, fov, arg_wi, kwargs...)

Generate kspace trajectory samples and density compensation functions.

option

  • ktype::Symbol k-space trajectory type; default :radial
  • N::Dims target image size; default (32,30)
  • fov field of view in x and y (and z); default (250,250) mm
  • arg_wi options to pass to ir_mri_density_comp - not yet done
  • kwargs options for the specific trajectory

out

  • kspace [Nk 2|3] kspace samples in units 1/fov
  • omega [Nk 2|3] trajectory samples over [-π,π)
  • wi [Nk 1] (optional) density compensation factors

trajectory types:

  • :cartesian
  • :radial
  • :cart_y_2
  • :random
  • :half8
  • :epi_sin
  • :spiral0 :spiral1 :spiral3
  • :rosette3
  • :epi_under
  • :gads (emulate golden-angle data sharing per winkelmann:07:aor)
source
MIRT.mri_trajectory_gads — Method
omega, wi = mri_trajectory_gads(N, fov ; ...)

Emulate 2D golden angle radial sampling with data sharing

option

  • Nro # of samples in each readout/spoke
  • shift shift along read-out due to gradient delays (stress)
  • kmax_frac fractions of maximum krad (0.5) for rings (annuli)
  • under under-sampling factor for each annulus
source
MIRT.mri_trajectory_radial — Method
mri_trajectory_radial()

option

  • na_nr default ensures proper sampling at edge of k-space
  • na angular spokes; default: na_nr * nr
  • nr radial samples per spoke
  • ir default: 0:nr

todo: generalize to 3D using barger:02:trc

source
MIRT.mri_trajectory_rosette3 — Method
mri_trajectory_rosette3(N, fov ; ...)

3d rosette, with default parameters from bucholz:08:miw

option

  • omax maximum omega
  • nt time samples (65.536 ms for 4 usec dt)
  • dt time sample spacing (4 usec)
  • ti time samples
source
MIRT.ncg — Method
(x,out) = ncg(B, gradf, curvf, x0 ; ...)

Nonlinear preconditioned conjugate gradient algorithm to minimize a general "inverse problem" cost function of the form $\Psi(x) = \sum_{j=1}^J f_j(B_j x)$ where each function $f_j(v)$ has a quadratic majorizer of the form

\[q_j(v;u) = f_j(u) + \nabla f_j(u) (v - u) + 1/2 \|v - u\|^2_{C_j(u)}\]

where $C_j(u)$ is diagonal matrix of curvatures. (It suffices for each $f_j$ to have a Lipschitz smooth gradient.)

This CG method uses a majorize-minimize (MM) line search.

in

  • B vector of $J$ blocks $B_1,…,B_J$
  • gradf vector of $J$ functions return gradients of $f_1,…,f_J$
  • curvf vector of $J$ functions z -> curv(z) that return a scalar or a vector of curvature values for each element of $z$
  • x0 initial guess; need length(x) == size(B[j],2) for $j=1,…,J$

Usually x0 is a Vector but it can be an Array if each B_j is a linear operator (e.g., LinearMapAO) of suitable "dimensions".

option

  • niter # number of outer iterations; default 50
  • ninner # number of inner iterations of MM line search; default 5
  • P # preconditioner; default I
  • betahow "beta" method for the search direction; default :dai_yuan
  • fun User-defined function to be evaluated with two arguments (x,iter).
    • It is evaluated at (x0,0) and then after each iteration.

output

  • x final iterate
  • out [niter+1] (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))
    • (all 0 by default). This is an array of length niter+1
source
MIRT.ncg — Method
(x,out) = ncg(grad, curv, x0, ...)

Special case of ncg (nonlinear CG) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad.

source
MIRT.nufft_errors — Method
w, errs = nufft_errors( ; M=401, w=?, N=513, n_shift=0, ...)

Compute NUFFT approximation errors (for signal of length N of unit norm), for given digital frequency values w, i.e., Ω. Default w is range(0, 2π/N, M).

source
MIRT.nufft_init — Method
p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=0)

Setup 1D NUFFT, for computing fast $O(N \log N)$ approximation to

$X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m] (n - n_{shift})), m=1,…,M$

in

  • w::AbstractArray{<:Real} [M] frequency locations (aka Ω, units radians/sample)
    • eltype(w) determines the plan_nfft type; so to save memory use Float32!
    • size(w) determines odim for A if operator=true
  • N::Int signal length

option

  • nfft_m::Int see NFFT.jl documentation; default 4
  • nfft_sigma::Real "", default 2.0
  • n_shift::Real often is N/2; default 0
  • pi_error::Bool throw error if $|w| > π$, default true
    • Set to false only if you are very sure of what you are doing!
  • do_many::Bool support extended inputs via map_many? default true
  • operator::Bool=true set to false to make A an LinearMapAM

out

  • p NamedTuple

(nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A::LinearMapAO)

The default settings are such that for a 1D signal of length N=512, the worst-case error is below 1e-5 which is probably adequate for typical medical imaging applications. To verify this statement, run nufft_plot1() and see plot.

source
MIRT.nufft_init — Method
p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=?)

Setup multi-dimensional NUFFT, for computing fast $O(N \log N)$ approximation to

$X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m,:] (n - n_{shift})), m=1,…,M$

in

  • w::AbstractArray{<:Real} [M,D] frequency locations (aka Ω, units radians/sample)
    • eltype(w) determines the plan_nfft type; so to save memory use Float32!
    • size(w)[1:(end-1)] determines odim if operator=true
  • N::Dims{D} signal dimensions

option

  • nfft_m::Int see NFFT.jl documentation; default 4
  • nfft_sigma::Real "", default 2.0
  • n_shift::AbstractVector{<:Real} (D) often is N/2; default zeros(D)
  • pi_error::Bool throw error if $|w| > π$, default true
    • Set to false only if you are very sure of what you are doing!
  • do_many::Bool support extended inputs via map_many? default true
  • operator::Bool=true set to false to make A a LinearMapAM

The default do_many option is designed for parallel MRI where the k-space sampling pattern applies to every coil. It may also be useful for dynamic MRI with repeated sampling patterns. The coil and/or time dimensions must come after the spatial dimensions.

out

  • p NamedTuple with fields nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A=LinearMapAO (Using operator=true allows the LinearMapAO to support do_many.)
source
MIRT.nufft_typer — Method
nufft_typer(T::Type, x::AbstractArray{<:Real} ; warn::Bool=true)

type conversion wrapper for nfft()

source
MIRT.ogm_ls — Method
(x,out) = ogm_ls(B, gradf, curvf, x0; niter=?, ninner=?, fun=?)

OGM with a line search Drori&Taylor to minimize a general "inverse problem" cost function of the form $\Psi(x) = \sum_{j=1}^J f_j(B_j x)$ where each function $f_j(v)$ has a quadratic majorizer of the form

\[q_j(v;u) = f_j(u) + \nabla f_j(u) (v - u) + 1/2 \|v - u\|^2_{C_j(u)}\]

where $C_j(u)$ is diagonal matrix of curvatures. (It suffices for each $f_j$ to have a Lipschitz smooth gradient.)

This OGM method uses a majorize-minimize (MM) line search.

in

  • B vector of $J$ blocks $B_1,…,B_J$
  • gradf vector of $J$ functions return gradients of $f_1,…,f_J$
  • curvf vector of $J$ functions z -> curv(z) that return a scalar or a vector of curvature values for each element of $z$
  • x0 initial guess; need length(x) == size(B[j],2) for $j=1,…,J$

option

  • niter # number of outer iterations; default 50
  • ninner # number of inner iterations of MM line search; default 5
  • fun User-defined function to be evaluated with two arguments (x,iter).
  • It is evaluated at (x0,0) and then after each iteration.

output

  • x final iterate
  • out (niter+1) (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))
    • (all 0 by default). This is a vector of length niter+1.
source
MIRT.ogm_ls — Method
(x,out) = ogm_ls(grad, curv, x0, ...)

Special case of ogm_ls (OGM with line search) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad.

source
MIRT.pogm_restart — Method
x, out = pogm_restart(x0, Fcost, f_grad, f_L ;
+f_mu=0, mom=:pogm, restart=:gr, restart_cutoff=0.,
+bsig=1, niter=10, g_prox=(z,c)->z, fun=...)

Iterative proximal algorithms (PGM=ISTA, FPGM=FISTA, POGM) with restart.

in

  • x0 initial guess
  • Fcost function for computing the cost function value $F(x)$
    • (needed only if restart === :fr)
  • f_grad function for computing the gradient of $f(x)$
  • f_L Lipschitz constant of the gradient of $f(x)$

option

  • f_mu strong convexity parameter of $f(x)$; default 0.
    • if f_mu > 0, $(\alpha, \beta_k, \gamma_k)$ is chosen by Table 1 in [KF18]
  • g_prox function g_prox(z,c) for the proximal operator for $g(x)$
    • g_prox(z,c) computes $argmin_x 1/2 \|z-x\|^2 + c \, g(x)$
  • mom momentum option
    • :pogm POGM (fastest); default!
    • :fpgm (FISTA), $\gamma_k = 0$
    • :pgm PGM (ISTA), $\beta_k = \gamma_k = 0$
  • restart restart option
    • :gr gradient restart; default!
    • :fr function restart
    • :none no restart
  • restart_cutoff for :gr restart if cos(angle) < this; default 0.
  • bsig gradient "gamma" decrease option (value within [0 1]); default 1
    • see $\bar{\sigma}$ in [KF18]
  • niter number of iterations; default 10
  • fun function(iter, xk, yk, is_restart) user-defined function evaluated each iter with secondary xk, primary yk, and boolean is_restart indicating whether this iteration was a restart

out

  • x final iterate
    • for PGM (ISTA): $x_N = y_N$
    • for FPGM (FISTA): primary iterate $y_N$
    • for POGM: secondary iterate $x_N$, see [KF18]
  • out [fun(0, x0, x0, false), fun(1, x1, y1, is_restart), ...] array of length [niter+1]

Optimization Problem: Nonsmooth Composite Convex Minimization

  • $argmin_x F(x), F(x) := f(x) + g(x))$
    • $f(x)$ smooth convex function
    • $g(x)$ convex function, possibly nonsmooth and "proximal-friendly" [CP11]

Optimization Algorithms:

Accelerated First-order Algorithms when $g(x) = 0$ [KF18] iterate as below for given coefficients $(\alpha, \beta_k, \gamma_k)$

  • For k = 0,1,...
    • $y_{k+1} = x_k - \alpha f'(x_k)$ : gradient update
    • $x_{k+1} = y_{k+1} + \beta_k (y_{k+1} - y_k) + \gamma_k (y_{k+1} - x_k)$ : momentum update

Proximal versions of the above for $g(x) \neq 0$ are in the below references, and use the proximal operator $prox_g(z) = argmin_x {1/2\|z-x\|^2 + g(x)}$.

  • Proximal Gradient method (PGM or ISTA) - $\beta_k = \gamma_k = 0$. [BT09]
  • Fast Proximal Gradient Method (FPGM or FISTA) - $\gamma_k = 0$. [BT09]
  • Proximal Optimized Gradient Method (POGM) - [THG15]
  • FPGM(FISTA) with Restart - [OC15]
  • POGM with Restart - [KF18]

references

  • [CP11] P. L. Combettes, J. C. Pesquet,

"Proximal splitting methods in signal processing," Fixed-Point Algorithms for Inverse Problems in Science and Engineering, Springer, Optimization and Its Applications, 2011.

  • [KF18] D. Kim, J.A. Fessler,

"Adaptive restart of the optimized gradient method for convex optimization," 2018 Arxiv:1703.04641, [http://doi.org/10.1007/s10957-018-1287-4]

  • [BT09] A. Beck, M. Teboulle:

"A fast iterative shrinkage-thresholding algorithm for linear inverse problems," SIAM J. Imaging Sci., 2009.

  • [THG15] A.B. Taylor, J.M. Hendrickx, F. Glineur,

"Exact worst-case performance of first-order algorithms for composite convex optimization," Arxiv:1512.07516, 2015, SIAM J. Opt. 2017 [http://doi.org/10.1137/16m108104x]

Copyright 2017-3-31, Donghwan Kim and Jeff Fessler, University of Michigan 2018-08-13 Julia 0.7.0 2019-02-24 interface redesign

source
MIRT.poweriter — Method
v1,σ1 = poweriter(A; niter=?, ...)

Determine first right singular vector v1 and first singular value σ1 of A by applying power iteration to A'A

in

  • A M × N matrix

option

  • niter default 200
  • x0 initial guess of v1
  • tol stopping tolerance for s1, default 1e-6
  • chat::Bool verbose? default false

out

  • v1 [N] principal right singular vector
  • σ1 spectral norm of A
source
MIRT.rect — Method
rect(x::Real)

Unit width rect function. Potential problem? Bring up with fess.

source
MIRT.reverser — Method
y = reverser(x, dims)

reverse array along specified dimensions (or all if unspecified)

source
MIRT.rmsd100 — Method
rmsd = rmsd100(x, y ; mask)

Compute 100 * RMSD (root mean squared difference) between x and y within domain mask.

in

  • x : array
  • y : another array of same size

option

  • mask::Array{Bool} : domain over which to compute the RMSE; default trues(size(x))

out

  • rmsd : rmsd of x vs y within mask in %
source
MIRT.snr2sigma — Method
snr2sigma(db, yb)

Convert SNR in dB to noise σ for complex gaussian noise. No sqrt(2) factors is needed here because randn(Complex{Float}) already accounts for that. (See randn documentation.)

source
MIRT.@shows — Macro
@shows expr

Show the type and size of an expression expr (typically a variable).

More concise output than @show and typically this is all that is needed when debugging code.

source
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Edit on GitHub

Function References

MIRT.Afft — Method
A = Afft(samp::AbstractArray{Bool} ; T::DataType = ComplexF32)

Make a LinearMapAO object for (under-sampled) FFT, of type T, using given sampling pattern samp. Especially for compressed sensing MRI with Cartesian sampling.

Option:

  • operator::Bool = true set to false to return a LinearMapAM
  • work::AbstractArray work space for in-place fft operations
source
MIRT.Anufft — Method
Anufft(ω, N ; kwargs ...)

Make a LinearMapAO object of size length(ω) × prod(N). See nufft_init for options.

source
MIRT.Aodwt — Method
A, levels, mfun = Aodwt(dims ; level::Int=3, wt=wavelet(WT.haar))

Create orthogonal discrete wavelet transform (ODWT) LinearMapAA

in

  • dims::Dims tuple of dimensions

option

  • level::Int # of levels; default 3
  • wt wavelet transform type (see Wavelets package); default Haar
  • operator::Bool=true default to LinearMapAO
  • T::DataType : Float32 by default; use ComplexF32 if needed

out

  • A a LinearMapAX object
  • scales array of size dims showing the scale of each coefficient

which is useful when imposing scale-dependent regularization

  • mfun convenience function for A*X when X is a Matrix or Array (not vector)

2019-02-23 Jeff Fessler, University of Michigan

source
MIRT.caller_name — Method

caller_name() or caller_name(;level=4)

Return "filename line fun():" as a string to describe where this function was called.

Stack levels:

  • 1: #caller_name
  • 2: caller_name()
  • 3: function that invoked caller()
  • 4: the calling function we want to return

Hence the default level is 4, but we increment it by one in case user says @show caller_name() in which case stack[3] is a macro expansion.

source
MIRT.diff_adj — Method
Z = diff_adj(dx, N::Dims{D} ; dims = 1:D)

Adjoint of finite differences of arrays along one or more dimensions. By default performs the same operations as $vec(Z) = [(I_{N_d} \otimes \cdots \otimes D_{N_1}); \dots; (D_{N_d} \otimes \cdots \otimes I_{N_1})]' * d$ where D_N denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).

in

  • dx vector of typical length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1
  • N::Dims desired output size

option

  • dims dimension(s) for performing adjoint finite differences; default 1:ndims(X)

out

  • Z N_1 × ... × N_d array by default
source
MIRT.diff_forw — Method
d = diff_forw(X ; dims = 1:ndims(X))

Finite differences along one or more dimensions of an array, e.g., for anisotropic TV regularization.

By default performs the same operations as $d = [(I_{N_d} \otimes \cdots \otimes D_{N_1}); \dots; (D_{N_d} \otimes \cdots \otimes I_{N_1})] vec(X)$ where $D_N$ denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).

Input dimension N must exceed 1 for each dimension specified by dims.

in

  • X N_1 × ... × N_d array (typically an N-D image).

option

  • dims dimension(s) for performing finite differences; default 1:ndims(X)

must have unique elements and be a nonempty subset of 1:ndims(X)

out

  • d vector of default length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1
source
MIRT.diff_map — Method
T = diff_map(N::Dims{D} ; dims = 1:D)

in

  • N::Dims image size

out

  • T LinearMapAA object for computing finite differences via T*x
source
MIRT.diffl! — Method
diffl!(g::AbstractArray, x::AbstractArray, dims::AbstractVector{Int} ; ...)

When x is a N-dimensional array, the ith slice of the g array (along its last dimension) is the diffl! of x along dims[i]. This is useful for total variation (TV) and other regularizers that need finite differences along multiple dimensions.

source
MIRT.diffl! — Method
diffl!(g::AbstractArray, x::AbstractArray, dim::Int ; ...)

Apply left finite difference operator to input array x, storing the result "in-place" in pre-allocated output array g. (The letter g is mnemonic for "gradient".)

Arrays g and x must have the same size, and cannot alias. By default, the "first" elements of g are zero for dimension dim. The default is dim=1.

Option:

  • add::Bool = false use x[i] + x[i-1] instead of x[i] - x[i-1] (useful for certain diagonal majorizers).
  • edge::Symbol = :zero set the first elements of dimension dim to 0
    • Choose edge=:circ to use circulant (aka periodic) boundary conditions.
    • Choose edge=:none to leave the first elements untouched.

Example

julia> x = [2, 6, 7]; g = similar(x); diffl!(g, x)
-3-element Vector{Int64}:
- 0
- 4
- 1
source
MIRT.diffl — Method
g = diffl(x::AbstractArray, dims::AbstractVector{Int} ; ...)

Allocating version of diffl! for dims

source
MIRT.diffl — Method
g = diffl(x::AbstractArray, dim::Int ; ...)

Allocating version of diffl! along dim

Example

julia> x = [1,2] .+ [10 30 70]; g = diffl(x, 2)
-2×3 Matrix{Int64}:
- 0  20  40
- 0  20  40
source
MIRT.diffl — Method
g = diffl(x::AbstractArray ; ...)

Allocating version of diffl! along dim=1

source
MIRT.diffl_adj! — Method
diffl_adj!(z::AbstractArray, g::AbstractArray, dims::AbstractVector{Int} ; ...)

Adjoint of diffl! for multiple dimensions dims. Here g must have one more dimension than z.

source
MIRT.diffl_adj! — Method
diffl_adj!(z, g, dim::Int ; ...)

Adjoint of left finite difference diffl!, in-place. Arrays z and g must be same size. See diffl_adj for details.

source
MIRT.diffl_adj — Method
z = diffl_adj(g::AbstractArray, dim::Int ; ...)

Allocating version of diffl_adj! along dim.

Example

julia> g = ones(Int,2,3); z = diffl_adj(g, 2)
-2×3 Matrix{Int64}:
- -1  0  1
- -1  0  1
source
MIRT.diffl_adj — Method
z = diffl_adj(g::AbstractArray ; ...)

Allocating version of diffl_adj! along dim=1.

Example

julia> g = [0, 2, 5]; z = diffl_adj(g)
-3-element Vector{Int64}:
- -2
- -3
-  5
source
MIRT.diffl_adj — Method
z = diffl_adj(g::AbstractArray, dims::AbstractVector{Int} ; ...)

Allocating version of diffl_adj! for dims.

source
MIRT.diffl_map — Method
T = diffl_map(N::Dims{D}, dims::AbstractVector{Int} ; kwargs...)
-T = diffl_map(N::Dims{D}, dim::Int ; kwargs...)

in

  • N::Dims image size

options: see diffl!

  • T::Type for LinearMapAA, default Float32
  • operator::Bool = true use false for LinearMapAM

out

  • T LinearMapAA object for computing finite differences via T*x

using diffl! and diffl_adj!

source
MIRT.downsample1 — Method
y = downsample1(x, down ; warn=true)

downsample 1D vector by factor down

in

  • x [n1]
  • down::Int downsampling factor

option

  • warn::Bool warn if noninteger multiple; default isinteractive()

out

  • y [n1/down]
source
MIRT.downsample2 — Method
y = downsample2(x, down ; warn=true, T)

downsample by averaging by integer factors in

  • x [nx ny]
  • down can be a scalar (same factor for both dimensions) or a NTuple{2,Int}

option

  • warn::Bool warn if noninteger multiple; default isinteractive()
  • T::DataType specify output eltype; default eltype(x[1] / down[1])

out

  • y [nx/down ny/down]
source
MIRT.downsample3 — Method
y = downsample3(x, down ; warn=true, T)

downsample by averaging by integer factors in

  • x [nx ny nz]
  • down can be a scalar (same factor for all dimensions) or a NTuple{3,Int}

option

  • warn::Bool warn if noninteger multiple; default true
  • T::DataType specify output eltype; default eltype(x[1] / down[1])

out

  • y [nx/down ny/down nz/down]
source
MIRT.downsample_dim1 — Method
y = downsample_dim1(x, down ; warn::Bool)

Down-sample x by factor down along first dimension by averaging.

in

  • x [n1 (Nd)]
  • down::Int downsampling factor

option

  • warn::Bool warn if non-integer multiple; default isinteractive()

out

  • y [n1÷down (Nd)]
source
MIRT.dtft — Method
X = dtft(w, x ; n_shift=?)

multi-dimensional DTFT (DSFT)

$X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m,:] (n - n_{shift})), m=1,…,M$ where here n is a CartesianIndex

in

  • w::AbstractMatrix{<:Real} [M,D] frequency locations ("units" radians/sample)
  • x::AbstractArray{<:Number} [(Nd)] D-dimensional signal

option

  • n_shift::AbstractVector{<:Real} often is N/2; default zeros(D)

out

  • X::AbstractVector{ComplexF64} [M] DTFT
source
MIRT.dtft — Method
X = dtft(w, x ; n_shift=?)

1D DTFT

$X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m] (n - n_{shift})), m=1,…,M$

in

  • w::AbstractVector{<:Real} [M] frequency locations ("units" radians/sample)
  • x::AbstractVector{<:Number} [N] 1D signal

option

  • n_shift::Real often is N/2; default 0

out

  • X::AbstractVector{ComplexF64} [M] DTFT
source
MIRT.dtft_adj — Method
x = dtft_adj(w, X, N ; n_shift=?)

adjoint for multi-dimensional DTFT (DSFT)

$x[n] = \sum_{m=1}^M X[m] \exp(i w[m,:] (n - n_{shift})), n=0,…,N-1$ where here n is a CartesianIndex

in

  • X::AbstractVector{ComplexF64} [M] DTFT
  • w::AbstractMatrix{<:Real} [M,D] frequency locations ("units" radians/sample)
  • N::Dims [D] dimensions of signal x

option

  • n_shift::AbstractVector{<:Real} often is N/2; default zeros(D)
  • T::DataType default (eltype(w) == Float64) ? ComplexF64 : ComplexF32

out

  • x::AbstractArray{<:Number} [(N)] D-dimensional signal
source
MIRT.dtft_adj — Method
x = dtft_adj(w, X, N ; n_shift=?)

adjoint for 1D DTFT

$x[n] = \sum_{m=1}^M X[m] \exp(i w[m] (n - n_{shift})), n=0,…,N-1$

This is the adjoint (transpose) of dtft, not an inverse DTFT.

in

  • w::AbstractVector{<:Real} [M] frequency locations ("units" radians/sample)
  • X::AbstractVector{ComplexF64} [M] spectrum values
  • N::Int size of signal x

option

  • n_shift::Real often is N/2; default 0
  • T::DataType output data type; default ComplexF64

out

  • x::AbstractVector{<:Number} signal [N]
source
MIRT.dtft_init — Method
d = dtft_init(w, N ; n_shift=?)

for multi-dimensional DTFT (DSFT)

in

  • w::AbstractMatrix{<:Real} [M,D] frequency locations ("units" radians/sample)
  • N::Dims [D] dimensions of signal x

option

  • n_shift::AbstractVector{<:Real} often is N/2; default zeros(D)
  • T::DataType default ComplexF64 for testing NUFFT accuracy

out

  • d::NamedTuple with fields
`dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO`
source
MIRT.dtft_init — Method
d = dtft_init(w, N ; n_shift=?)

for 1D DTFT

in

  • w::AbstractVector{<:Real} [M] frequency locations ("units" radians/sample)
  • N::Int size of signal x

option

  • n_shift::Real often is N/2; default 0
  • T::DataType default ComplexF64 for testing NUFFT accuracy

out

  • d::NamedTuple with fields
`dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO`
source
MIRT.embed! — Method
embed!(array, v, mask ; filler=0)

embed vector v of length sum(mask) into elements of array where mask is true, setting the remaining elements to filler (default 0).

source
MIRT.embed — Method
array = embed(matrix::AbstractMatrix{<:Number}, mask::AbstractArray{Bool})

Embed each column of matrix into mask then cat along next dimension In:

  • matrix [sum(mask) L]
  • mask [(N)]

Out:

  • array [(N) L]
source
MIRT.embed — Method
array = embed(v, mask ; filler=0)

embed vector v of length sum(mask) into elements of an array where mask is true; see embed!.

source
MIRT.eql_root — Method
x = eql_root(a,b,c)
-Numerically stable method for computing the positive root
-of the quadratic polynomial `-ax^2 - 2bx + c, a >= 0`.
-Assumes solvable equations; will throw otherwise.

in

  • a : The negative of the x^2 term. Must be positive.
  • b : Half the negative of the x term.
  • c : The constant term.

out

  • x : The positive root that satisfies 0 = -ax^2 - 2bx + c.
source
MIRT.exp_mult — Method
D = exp_mult(A, u, v ; warnboth)

Memory efficient and fast implementation of D = A' * exp(-u * v^T) that is useful for B0-field-corrected MRI image reconstruction.

in:

  • A [N L] matrix
  • u [N] vector
  • v [M] vector
  • warnboth warn if both u and v are complex; default: true

out:

  • D [L M] complex vector: D = A' * exp(-u * v^T)

D_lm = sum_n A_nl^* exp(-u_n v_m)

source
MIRT.exp_xform — Method
exp_xform(x, u, v ; mode::Symbol = :matrix)

in:

  • x [N L] possibly complex vector(s)
  • u [D N] possibly complex vectors
  • v [D M] possibly complex vectors
  • mode::Symbol :matrix (default) | :element | :row | :column

out:

  • y [M L] typically complex vector

y[m,l] = sum_n x[n,l] exp(-sum(u[:,n] .* v[:,m]))

Iterates through subsets of the ML matrix designated by :mode (i.e. row, column, element, or just computing the entire matrix) This is the 'slow' 'exact' transform model for MRI.

Output type will depend on input types.

source
MIRT.genkspace — Method
genkspace

Generate the proper length of k-space trajectory.

It linearly interpolates the output of genspiral to the correct length() & takes care of the rotations for the interleaves.

  • ld is the length of the data
  • nint is the number of interleaves

Brad Sutton; University of Michigan

source
MIRT.genspi — Method
Gx, Gy, kx, ky, sx, sy, gts = genspi(...)

This is translation of C code from scanner: exactly what is played out to gradients at 4us.

multi-shot spiral design uses Duyn's approximate slewrate limited design augmented with archimedian gmax limit in [args]

  • D = FOV; cm

  • N = matrix size()

  • Tmax = longest acquisition allowed; s

  • dts = output sample spacing; s

  • gtype = trajectory type()

option [CVs]

  • nl = number of interleaves
  • gamp = design grad max; G/cm
  • gslew = design slew rate; mT/m/ms
  • nramp = number of rampdown points; default 0

out

  • Gx; Gy

time is in sec()

  • rev 0 12/26/98 original
  • rev 1 4/15/99 little better calc of ts

Borrowed from Doug Noll; Univ. of Michigan. Modified to take more input cv's.

source
MIRT.getindex! — Method
getindex!(y::AbstractVector, x::AbstractArray{T,D}, mask::AbstractArray{Bool,D})

Equivalent to the in-place y .= x[mask] but is non-allocating.

For non-Boolean indexing, just use @views y .= A[index], per https://discourse.julialang.org/t/efficient-non-allocating-in-place-getindex-for-bitarray/42268

source
MIRT.interp1 — Method
yi = interp1(x, y, xi ; how=Gridded(Linear()), extrap=0)

1D interpolation of y = f(x) at points xi

In:

  • x::AbstractVector{<:Real}
  • y::AbstractVector{<:Number}

Option:

  • how::Interpolations.InterpolationType default Gridded(Linear())
  • extrap::Any how to extrapolate, e.g., Flat(); default 0

other options from Interpolations.jl are Line() Periodic() Reflect() Throw()

Output is same size as input xi

source
MIRT.ir_dump — Method
ir_dump(x::Any ; io::IO = stdout)
-ir_dump(io::IO, x::Any)

Show all the fields of a structure or NamedTuple more nicely than dump() does

source
MIRT.ir_mri_coil_compress — Method
(odata, σ, Vr) = ir_mri_coil_compress(idata ; ncoil)

MRI coil compression via PCA. Given multiple MRI surface coil images (idata), use SVD/PCA to find a smaller number of virtual coil images (odata).

In:

  • idata [(N) n_in]: noisy complex images (2D or 3D) for each coil

Option:

  • ncoil Desired # of virtual coils (default: 1)

Out:

  • odata [(N) ncoil]: virtual coil images
  • σ [n_in]: singular values.
  • Vr [n_in, ncoil]: compression matrix for reducing other data.

todo: currently ignores noise correlations

source
MIRT.ir_mri_kspace_ga_radial — Method
kspace = ir_mri_kspace_ga_radial(; Nro=?, Nspoke=?, ...)

Generate k-space sampling pattern for "golden angle" radial sampling.

option

  • Nro:Int number of samples in each readout/spoke, default 256
  • Nspoke::Int number of spokes, default 1
  • start::Real first angle in series [radians], default π/2
  • angle::Real angular spacing [radians], default GA
  • delta_ro::Real readout spacing, default 1/Nro
  • shift::Real shift due to gradient delays, default 0
    • radial sample locations are ir * delta_ro
    • where ir = [-(Nro/2 - 1):1:Nro/2] + shift

out

  • kspace [Nro Nspoke 2] (Float32)

kx and ky k-space locations for Nspoke*Nro samples in interval (-0.5 0.5] for default shift, delta_ro so default units are "cycles / sample"

2015-07 Mai Le, original Matlab version

2015-07-04 Jeff Fessler, minor changes to Matlab version

source
MIRT.ir_mri_sensemap_sim — Method
(smap,info) = ir_mri_sensemap_sim( :all ; kwargs)

Like ir_mri_sensemap_sim but also returns info with data for all coils, mainly for testing and plotting.

source
MIRT.ir_mri_sensemap_sim — Method
(smap,info) = ir_mri_sensemap_sim( ir_ic_pair ; kwargs)

Like ir_mri_sensemap_sim but also returns info with data for specific coils where ir_ic_pair::Vector{Tuple{Int,Int}}. (Usually used internally only.)

  • info::NamedTuple geometry information for plots
source
MIRT.ir_mri_sensemap_sim — Method
smap = ir_mri_sensemap_sim(...)

Simulate 2D or 3D sensitivity maps for sensitivity-encoded MRI based on grivich:00:tmf http://doi.org/10.1119/1.19461

This code makes maps for multiple coils, but does not model coupling between coils, so most likely it is an approximation at best.

option

  • dims::Dims image size; default (64, 64)
  • dx::Real pixel/voxel dimension; default: 3
  • dy::Real pixel/voxel dimension; default: dx
  • dz::Real ""
  • ncoil::Int # of coils total; default 4
  • nring::Int # of rings of coils; default 1
  • rcoil::Real coil radius; default dx * nx / 2 * 0.50
  • dz_coil ring spacing in z; default nz*dz/nring
    • (3D geometry is a cylinder)
  • coil_distance::Real distance of coil center from isocenter
    • for central ring of coils as a multiple of FOVx,
    • where FOVx=nx*dx; default 1.2
  • orbit::Real default 360 [degrees]
  • orbit_start::AbstractVector{<:Real} = fill(0, nring) [degrees]
  • scale::Symbol
    • :none (default)
    + ssos_center make SSoS of center = 1

out

  • smap [dims ncoil] simulated sensitivity maps (complex!)

All length parameters must have same units (e.g., mm or cm)

source
MIRT.ir_mri_smap1 — Method
ir_mri_smap1()

based on grivich:00:tmf

for a circular coil in "x-y plane" of radius "a"

Note that coil x-y plane is not same as object x-y plane!

Returns (i,j,k) components of B vector for each (x,y,z) location

source
MIRT.jinc — Method
jinc(x)

Return jinc(x) = J1(pi*x)/(2x), where J1 is a Bessel function of the first kind.

Units of x are typically cycles/m.

Return type is promote_type(typeof(x), Float32).

source
MIRT.map_many — Method
y = map_many(fun::Function, x::AbstractArray{<:Any}, idim::Dims)

apply a function fun to leading slices of input x; cousin of mapslices

in

  • fun::Function maps input of size idim to output of some size odim
  • x [idim ldim]

out

  • y [odim ldim]

Example: if fun maps array of size (1,2) to array of size (3,4,5) and if input x has size (1,2,7,8) then output y will have size (3,4,5,7,8) where y[:,:,:,i,j] = fun(x[:,:,i,j])

source
MIRT.mask_or — Method
mask_or(mask)

compress 3D mask to 2D by logical or along z direction

source
MIRT.max_percent_diff — Method
d = max_percent_diff(s1, s2, [options])

Compute the "maximum percent difference" between two signals: s1, s2.

Default is to normalize by maximum(abs.(s1)).

options

  • maxboth::Bool use max of both arguments to normalize; default false
  • normalize::Bool normalize each before comparing; default false
source
MIRT.mri_kspace_spiral — Method
kspace, omega, gradxy = mri_kspace_spiral( [options] )

Make k-space spiral trajectory based on GE 3T scanner constraints

Option:

  • N dimention of reconstructed image
  • Nt # of time points
  • fov field of view in cm
  • dt time sampling interval out; default 5e-6 sec
  • gamp::Real design gradient amplitude max, G/cm; default 2.2
  • gslew::Int design slew rate, mT/m/ms; default 180

Out:

  • kspace [Nt,2] kspace trajectory [kx ky] in cycles/cm, NO: cycles/FOV
  • omega [Nt,2] "" in radians
  • gradxy [Nt 2] gradient waveforms in (units?)
source
MIRT.mri_trajectory — Method
kspace, omega, wi = mri_trajectory( ; ktype, N, fov, arg_wi, kwargs...)

Generate kspace trajectory samples and density compensation functions.

option

  • ktype::Symbol k-space trajectory type; default :radial
  • N::Dims target image size; default (32,30)
  • fov field of view in x and y (and z); default (250,250) mm
  • arg_wi options to pass to ir_mri_density_comp - not yet done
  • kwargs options for the specific trajectory

out

  • kspace [Nk 2|3] kspace samples in units 1/fov
  • omega [Nk 2|3] trajectory samples over [-π,π)
  • wi [Nk 1] (optional) density compensation factors

trajectory types: :cartesian :radial :cart_y_2 :random :half8 :epi_sin :spiral0 :spiral1 :spiral3 :rosette3 :epi_under :gads (emulate golden-angle data sharing per winkelmann:07:aor)

source
MIRT.mri_trajectory_gads — Method
omega, wi = mri_trajectory_gads(N, fov ; ...)

emulate 2D golden angle radial sampling with data sharing

option: Nro # of samples in each readout/spoke shift shift along read-out due to gradient delays (stress) kmax_frac fractions of maximum krad (0.5) for rings (annuli) under under-sampling factor for each annulus

source
MIRT.mri_trajectory_radial — Method
mri_trajectory_radial()

option:

  • na_nr default ensures proper sampling at edge of k-space
  • na angular spokes; default: na_nr * nr
  • nr radial samples per spoke
  • ir default: 0:nr

todo: generalize to 3D using barger:02:trc

source
MIRT.mri_trajectory_rosette3 — Method
mri_trajectory_rosette3(N, fov ; ...)

3d rosette, with default parameters from bucholz:08:miw

options: omax: maximum omega nt : time samples (65.536 ms for 4 usec dt) dt : time sample spacing (4 usec) ti : time samples

source
MIRT.ncg — Method

(x,out) = ncg(B, gradf, curvf, x0 ; ...)

Nonlinear preconditioned conjugate gradient algorithm to minimize a general "inverse problem" cost function of the form $\Psi(x) = \sum_{j=1}^J f_j(B_j x)$ where each function $f_j(v)$ has a quadratic majorizer of the form

\[q_j(v;u) = f_j(u) + \nabla f_j(u) (v - u) + 1/2 \|v - u\|^2_{C_j(u)}\]

where $C_j(u)$ is diagonal matrix of curvatures. (It suffices for each $f_j$ to have a Lipschitz smooth gradient.)

This CG method uses a majorize-minimize (MM) line search.

in

  • B array of $J$ blocks $B_1,...,B_J$
  • gradf array of $J$ functions return gradients of $f_1,...,f_J$
  • curvf array of $J$ functions z -> curv(z) that return a scalar

or a vector of curvature values for each element of $z$

  • x0 initial guess; need length(x) == size(B[j],2) for $j=1...J$

Usually x0 is a Vector but it can be an Array if each B_j is a linear operator (e.g., LinearMapAO) of suitable "dimensions".

option

  • niter # number of outer iterations; default 50
  • ninner # number of inner iterations of MM line search; default 5
  • P # preconditioner; default I
  • betahow "beta" method for the search direction; default :dai_yuan
  • fun User-defined function to be evaluated with two arguments (x,iter).
    • It is evaluated at (x0,0) and then after each iteration.

output

  • x final iterate
  • out [niter+1] (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))
    • (all 0 by default). This is an array of length niter+1
source
MIRT.ncg — Method

(x,out) = ncg(grad, curv, x0, ...)

special case of ncg (nonlinear CG) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad

source
MIRT.ndgrid — Method

(xx,yy,zz) = ndgrid(x::AbstractVector{<:Any}, y::..., z::...) todo - improve?

source
MIRT.ndgrid — Method

(xx,yy) = ndgrid(x::AbstractVector{<:Any}, y::AbstractVector{<:Any}) todo - improve?

source
MIRT.nufft_errors — Method
w, errs = nufft_errors( ; M=?, w=?, N=?, n_shift=?, ...)

Compute NUFFT approximation errors (for signal of length N of unit norm), for given digital frequency values w, i.e., Ω.

source
MIRT.nufft_init — Method
p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=0)

Setup 1D NUFFT, for computing fast $O(N \log N)$ approximation to

$X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m] (n - n_{shift})), m=1,…,M$

in

  • w::AbstractArray{<:Real} [M] frequency locations (aka Ω, units radians/sample)
    • eltype(w) determines the plan_nfft type; so to save memory use Float32!
    • size(w) determines odim for A if operator=true
  • N::Int signal length

option

  • nfft_m::Int see NFFT.jl documentation; default 4
  • nfft_sigma::Real "", default 2.0
  • n_shift::Real often is N/2; default 0
  • pi_error::Bool throw error if $|w| > π$, default true
    • Set to false only if you are very sure of what you are doing!
  • do_many::Bool support extended inputs via map_many? default true
  • operator::Bool=true set to false to make A an LinearMapAM

out

  • p NamedTuple

(nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A::LinearMapAO)

The default settings are such that for a 1D signal of length N=512, the worst-case error is below 1e-5 which is probably adequate for typical medical imaging applications. To verify this statement, run nufft_plot1() and see plot.

source
MIRT.nufft_init — Method
p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=?)

Setup multi-dimensional NUFFT, for computing fast $O(N \log N)$ approximation to

$X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m,:] (n - n_{shift})), m=1,…,M$

in

  • w::AbstractArray{<:Real} [M,D] frequency locations (aka Ω, units radians/sample)
+ `eltype(w)` determines the `plan_nfft` type; so to save memory use Float32!
-+ `size(w)[1:(end-1)]` determines `odim` if `operator=true`
  • N::Dims{D} signal dimensions

option

  • nfft_m::Int see NFFT.jl documentation; default 4
  • nfft_sigma::Real "", default 2.0
  • n_shift::AbstractVector{<:Real} [D] often is N/2; default zeros(D)
  • pi_error::Bool throw error if $|w| > π$, default true
    • Set to false only if you are very sure of what you are doing!
  • do_many::Bool support extended inputs via map_many? default true
  • operator::Bool=true set to false to make A an LinearMapAM

The default do_many option is designed for parallel MRI where the k-space sampling pattern applies to every coil. It may also be useful for dynamic MRI with repeated sampling patterns. The coil and/or time dimensions must come after the spatial dimensions.

out

  • p NamedTuple with fields
`nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A=LinearMapAO`
-(Using `operator=true` allows the `LinearMapAO` to support `do_many`.)
source
MIRT.nufft_typer — Method
nufft_typer(T::DataType, x::AbstractArray{<:Real} ; warn::Bool=true)

type conversion wrapper for nfft()

source
MIRT.ogm_ls — Method
(x,out) = ogm_ls(B, gradf, curvf, x0; niter=?, ninner=?, fun=?)

OGM with a line search; Drori&Taylor @arxiv 1803.05676; to minimize a general "inverse problem" cost function of the form $\Psi(x) = \sum_{j=1}^J f_j(B_j x)$ where each function $f_j(v)$ has a quadratic majorizer of the form

\[q_j(v;u) = f_j(u) + \nabla f_j(u) (v - u) + 1/2 \|v - u\|^2_{C_j(u)}\]

where $C_j(u)$ is diagonal matrix of curvatures. (It suffices for each $f_j$ to have a Lipschitz smooth gradient.)

This OGM method uses a majorize-minimize (MM) line search.

in

  • B array of $J$ blocks $B_1,...,B_J$
  • gradf array of $J$ functions return gradients of $f_1,...,f_J$
  • curvf array of $J$ functions z -> curv(z) that return a scalar

or a vector of curvature values for each element of $z$

  • x0 initial guess; need length(x) == size(B[j],2) for $j=1...J$

option

  • niter # number of outer iterations; default 50
  • ninner # number of inner iterations of MM line search; default 5
  • fun User-defined function to be evaluated with two arguments (x,iter).
  • It is evaluated at (x0,0) and then after each iteration.

output

  • x final iterate
  • out [niter+1] (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))
    • (all 0 by default). This is an array of length niter+1
source
MIRT.ogm_ls — Method
(x,out) = ogm_ls(grad, curv, x0, ...)

special case of ogm_ls (OGM with line search) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad

source
MIRT.pogm_restart — Method
x, out = pogm_restart(x0, Fcost, f_grad, f_L ;
-f_mu=0, mom=:pogm, restart=:gr, restart_cutoff=0.,
-bsig=1, niter=10, g_prox=(z,c)->z, fun=...)

Iterative proximal algorithms (PGM=ISTA, FPGM=FISTA, POGM) with restart.

in

  • x0 initial guess
  • Fcost function for computing the cost function value $F(x)$
    • (needed only if restart === :fr)
  • f_grad function for computing the gradient of $f(x)$
  • f_L Lipschitz constant of the gradient of $f(x)$

option

  • f_mu strong convexity parameter of $f(x)$; default 0.
    • if f_mu > 0, $(\alpha, \beta_k, \gamma_k)$ is chosen by Table 1 in [KF18]
  • g_prox function g_prox(z,c) for the proximal operator for $g(x)$
    • g_prox(z,c) computes $argmin_x 1/2 \|z-x\|^2 + c \, g(x)$
  • mom momentum option
    • :pogm POGM (fastest); default!
    • :fpgm (FISTA), $\gamma_k = 0$
    • :pgm PGM (ISTA), $\beta_k = \gamma_k = 0$
  • restart restart option
    • :gr gradient restart; default!
    • :fr function restart
    • :none no restart
  • restart_cutoff for :gr restart if cos(angle) < this; default 0.
  • bsig gradient "gamma" decrease option (value within [0 1]); default 1
    • see $\bar{\sigma}$ in [KF18]
  • niter number of iterations; default 10
  • fun function(iter, xk, yk, is_restart) user-defined function evaluated each iter with secondary xk, primary yk, and boolean is_restart indicating whether this iteration was a restart

out

  • x final iterate
    • for PGM (ISTA): $x_N = y_N$
    • for FPGM (FISTA): primary iterate $y_N$
    • for POGM: secondary iterate $x_N$, see [KF18]
  • out [fun(0, x0, x0, false), fun(1, x1, y1, is_restart), ...] array of length [niter+1]

Optimization Problem: Nonsmooth Composite Convex Minimization

  • $argmin_x F(x), F(x) := f(x) + g(x))$
    • $f(x)$ smooth convex function
    • $g(x)$ convex function, possibly nonsmooth and "proximal-friendly" [CP11]

Optimization Algorithms:

Accelerated First-order Algorithms when $g(x) = 0$ [KF18] iterate as below for given coefficients $(\alpha, \beta_k, \gamma_k)$

  • For k = 0,1,...
    • $y_{k+1} = x_k - \alpha f'(x_k)$ : gradient update
    • $x_{k+1} = y_{k+1} + \beta_k (y_{k+1} - y_k) + \gamma_k (y_{k+1} - x_k)$ : momentum update

Proximal versions of the above for $g(x) \neq 0$ are in the below references, and use the proximal operater $prox_g(z) = argmin_x {1/2\|z-x\|^2 + g(x)}$.

  • Proximal Gradient method (PGM or ISTA) - $\beta_k = \gamma_k = 0$. [BT09]
  • Fast Proximal Gradient Method (FPGM or FISTA) - $\gamma_k = 0$. [BT09]
  • Proximal Optimized Gradient Method (POGM) - [THG15]
  • FPGM(FISTA) with Restart - [OC15]
  • POGM with Restart - [KF18]

references

  • [CP11] P. L. Combettes, J. C. Pesquet,

"Proximal splitting methods in signal processing," Fixed-Point Algorithms for Inverse Problems in Science and Engineering, Springer, Optimization and Its Applications, 2011.

  • [KF18] D. Kim, J.A. Fessler,

"Adaptive restart of the optimized gradient method for convex optimization," 2018 Arxiv:1703.04641, [http://doi.org/10.1007/s10957-018-1287-4]

  • [BT09] A. Beck, M. Teboulle:

"A fast iterative shrinkage-thresholding algorithm for linear inverse problems," SIAM J. Imaging Sci., 2009.

  • [THG15] A.B. Taylor, J.M. Hendrickx, F. Glineur,

"Exact worst-case performance of first-order algorithms for composite convex optimization," Arxiv:1512.07516, 2015, SIAM J. Opt. 2017 [http://doi.org/10.1137/16m108104x]

Copyright 2017-3-31, Donghwan Kim and Jeff Fessler, University of Michigan 2018-08-13 Julia 0.7.0 2019-02-24 interface redesign

source
MIRT.poweriter — Method
v1,σ1 = poweriter(A; niter=?, ...)

Determine first right singular vector v1 and first singular value σ1 of A by applying power iteration to A'A

in

  • A M × N matrix

option

  • niter default 200
  • x0 initial guess of v1
  • tol stopping tolerance for s1, default 1e-6
  • chat::Bool verbose? default false

out

  • v1 [N] principal right singular vector
  • σ1 spectral norm of A
source
MIRT.rect — Method
rect(x::Real)

Unit width rect function. Potential problem? Bring up with fess.

source
MIRT.reverser — Method
y = reverser(x, dims)

reverse array along specified dimensions (or all if unspecified)

source
MIRT.rmsd100 — Method
rmsd = rmsd100(x, y ; mask)

Compute 100 * RMSD (root mean squared difference) between x and y within domain mask.

in

  • x : array
  • y : another array of same size

option:

  • mask::Array{Bool} : domain over which to compute the RMSE; default trues(size(x))

out

  • rmsd : rmsd of x vs y within mask in %
source
MIRT.snr2sigma — Method
snr2sigma(db, yb)

Convert SNR in dB to noise σ for complex gaussian noise. No sqrt(2) factors is needed here because randn(Complex{Float}) already accounts for that. (See randn documentation.)

source
diff --git a/dev/search/index.html b/dev/search/index.html deleted file mode 100644 index c41e50b4..00000000 --- a/dev/search/index.html +++ /dev/null @@ -1,2 +0,0 @@ - -Search · MIRT.jl

Loading search...

    diff --git a/dev/search_index.js b/dev/search_index.js index 5804f45f..478454e2 100644 --- a/dev/search_index.js +++ b/dev/search_index.js @@ -1,3 +1,3 @@ var documenterSearchIndex = {"docs": -[{"location":"toc/","page":"Table of Contents","title":"Table of Contents","text":"","category":"page"},{"location":"examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"EditURL = \"https://github.com/JeffFessler/MIRT.jl/blob/main/docs/lit/examples/1-mirt.jl\"","category":"page"},{"location":"examples/1-mirt/#mirt","page":"MIRT overview","title":"MIRT overview","text":"","category":"section"},{"location":"examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"This is a placeholder","category":"page"},{"location":"examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"","category":"page"},{"location":"examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"This page was generated using Literate.jl.","category":"page"},{"location":"reference/#function_reference","page":"Function References","title":"Function References","text":"","category":"section"},{"location":"reference/","page":"Function References","title":"Function References","text":"Modules = [MIRT]\nOrder = [:function, :type]","category":"page"},{"location":"reference/#MIRT.Afft-Union{Tuple{AbstractArray{Bool, D}}, Tuple{S}, Tuple{D}} where {D, S<:Number}","page":"Function References","title":"MIRT.Afft","text":"A = Afft(samp::AbstractArray{Bool} ; T::DataType = ComplexF32)\n\nMake a LinearMapAO object for (under-sampled) FFT, of type T, using given sampling pattern samp. Especially for compressed sensing MRI with Cartesian sampling.\n\nOption:\n\noperator::Bool = true set to false to return a LinearMapAM\nwork::AbstractArray work space for in-place fft operations\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.Anufft-Tuple{AbstractArray{<:Real}, Int64}","page":"Function References","title":"MIRT.Anufft","text":"Anufft(ω, N ; kwargs ...)\n\nMake a LinearMapAO object of size length(ω) × prod(N). 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By default performs the same operations as vec(Z) = (I_N_d otimes cdots otimes D_N_1) dots (D_N_d otimes cdots otimes I_N_1) * d where D_N denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).\n\nin\n\ndx vector of typical length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1\nN::Dims desired output size\n\noption\n\ndims dimension(s) for performing adjoint finite differences; default 1:ndims(X)\n\nout\n\nZ N_1 × ... × N_d array by default\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.diff_forw-Union{Tuple{AbstractArray{<:Number, D}}, Tuple{D}} where D","page":"Function References","title":"MIRT.diff_forw","text":"d = diff_forw(X ; dims = 1:ndims(X))\n\nFinite differences along one or more dimensions of an array, e.g., for anisotropic TV regularization.\n\nBy default performs the same operations as d = (I_N_d otimes cdots otimes D_N_1) dots (D_N_d otimes cdots otimes I_N_1) vec(X) where D_N denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).\n\nInput dimension N must exceed 1 for each dimension specified by dims.\n\nin\n\nX N_1 × ... × N_d array (typically an N-D image).\n\noption\n\ndims dimension(s) for performing finite differences; default 1:ndims(X)\n\nmust have unique elements and be a nonempty subset of 1:ndims(X)\n\nout\n\nd vector of default length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.diff_map-Union{Tuple{Tuple{Vararg{Int64, D}}}, Tuple{D}} where D","page":"Function References","title":"MIRT.diff_map","text":"T = diff_map(N::Dims{D} ; dims = 1:D)\n\nin\n\nN::Dims image size\n\nout\n\nT LinearMapAA object for computing finite differences via T*x\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.diffl!-Union{Tuple{Nx}, Tuple{Ng}, Tuple{Tx}, Tuple{Tg}, Tuple{AbstractArray{Tg, Ng}, AbstractArray{Tx, Nx}, AbstractVector{Int64}}} where {Tg, Tx, Ng, Nx}","page":"Function References","title":"MIRT.diffl!","text":"diffl!(g::AbstractArray, x::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nWhen x is a N-dimensional array, the ith slice of the g array (along its last dimension) is the diffl! of x along dims[i]. 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See diffl_adj for details.\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.diffl_adj-Tuple{AbstractArray, Int64}","page":"Function References","title":"MIRT.diffl_adj","text":"z = diffl_adj(g::AbstractArray, dim::Int ; ...)\n\nAllocating version of diffl_adj! along dim.\n\nExample\n\njulia> g = ones(Int,2,3); z = diffl_adj(g, 2)\n2×3 Matrix{Int64}:\n -1 0 1\n -1 0 1\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.diffl_adj-Tuple{AbstractArray}","page":"Function References","title":"MIRT.diffl_adj","text":"z = diffl_adj(g::AbstractArray ; ...)\n\nAllocating version of diffl_adj! along dim=1.\n\nExample\n\njulia> g = [0, 2, 5]; z = diffl_adj(g)\n3-element Vector{Int64}:\n -2\n -3\n 5\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.diffl_adj-Union{Tuple{N}, Tuple{T}, Tuple{AbstractArray{T, N}, AbstractVector{Int64}}} where {T, N}","page":"Function References","title":"MIRT.diffl_adj","text":"z = diffl_adj(g::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nAllocating version of diffl_adj! for dims.\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.diffl_map-Union{Tuple{D}, Tuple{Tuple{Vararg{Int64, D}}, AbstractVector{Int64}}} where D","page":"Function References","title":"MIRT.diffl_map","text":"T = diffl_map(N::Dims{D}, dims::AbstractVector{Int} ; kwargs...)\nT = diffl_map(N::Dims{D}, dim::Int ; kwargs...)\n\nin\n\nN::Dims image size\n\noptions: see diffl!\n\nT::Type for LinearMapAA, default Float32\noperator::Bool = true use false for LinearMapAM\n\nout\n\nT LinearMapAA object for computing finite differences via T*x\n\nusing diffl! and diffl_adj!\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.downsample1-Tuple{AbstractVector{<:Number}, Int64}","page":"Function References","title":"MIRT.downsample1","text":"y = downsample1(x, down ; warn=true)\n\ndownsample 1D vector by factor down\n\nin\n\nx [n1]\ndown::Int downsampling factor\n\noption\n\nwarn::Bool warn if noninteger multiple; default isinteractive()\n\nout\n\ny [n1/down]\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.downsample2-Tuple{AbstractMatrix{<:Number}, Tuple{Int64, Int64}}","page":"Function References","title":"MIRT.downsample2","text":"y = downsample2(x, down ; warn=true, T)\n\ndownsample by averaging by integer factors in\n\nx [nx ny]\ndown can be a scalar (same factor for both dimensions) or a NTuple{2,Int}\n\noption\n\nwarn::Bool warn if noninteger multiple; default isinteractive()\nT::DataType specify output eltype; default eltype(x[1] / down[1])\n\nout\n\ny [nx/down ny/down]\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.downsample3-Tuple{AbstractArray{<:Number, 3}, Tuple{Int64, Int64, Int64}}","page":"Function References","title":"MIRT.downsample3","text":"y = downsample3(x, down ; warn=true, T)\n\ndownsample by averaging by integer factors in\n\nx [nx ny nz]\ndown can be a scalar (same factor for all dimensions) or a NTuple{3,Int}\n\noption\n\nwarn::Bool warn if noninteger multiple; default true\nT::DataType specify output eltype; default eltype(x[1] / down[1])\n\nout\n\ny [nx/down ny/down nz/down]\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.downsample_dim1-Tuple{AbstractArray{<:Number}, Int64}","page":"Function References","title":"MIRT.downsample_dim1","text":"y = downsample_dim1(x, down ; warn::Bool)\n\nDown-sample x by factor down along first dimension by averaging.\n\nin\n\nx [n1 (Nd)]\ndown::Int downsampling factor\n\noption\n\nwarn::Bool warn if non-integer multiple; default isinteractive()\n\nout\n\ny [n1÷down (Nd)]\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.dtft-Tuple{AbstractMatrix{<:Real}, AbstractMatrix{<:Number}}","page":"Function References","title":"MIRT.dtft","text":"X = dtft(w, x ; n_shift=?)\n\nmulti-dimensional DTFT (DSFT)\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M where here n is a CartesianIndex\n\nin\n\nw::AbstractMatrix{<:Real}\t[M,D] frequency locations (\"units\" radians/sample)\nx::AbstractArray{<:Number}\t[(Nd)] D-dimensional signal\n\noption\n\nn_shift::AbstractVector{<:Real} often is N/2; default zeros(D)\n\nout\n\nX::AbstractVector{ComplexF64} [M] DTFT\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.dtft-Tuple{AbstractVector{<:Real}, AbstractVector{<:Number}}","page":"Function References","title":"MIRT.dtft","text":"X = dtft(w, x ; n_shift=?)\n\n1D DTFT\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M\n\nin\n\nw::AbstractVector{<:Real}\t[M] frequency locations (\"units\" radians/sample)\nx::AbstractVector{<:Number}\t[N] 1D signal\n\noption\n\nn_shift::Real often is N/2; default 0\n\nout\n\nX::AbstractVector{ComplexF64} [M] DTFT\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.dtft_adj-Tuple{AbstractMatrix{<:Real}, AbstractVector{<:Number}, Tuple{Vararg{Int64, N}} where N}","page":"Function References","title":"MIRT.dtft_adj","text":"x = dtft_adj(w, X, N ; n_shift=?)\n\nadjoint for multi-dimensional DTFT (DSFT)\n\nxn = sum_m=1^M Xm exp(i wm (n - n_shift)) n=0N-1 where here n is a CartesianIndex\n\nin\n\nX::AbstractVector{ComplexF64} [M] DTFT\nw::AbstractMatrix{<:Real} [M,D] frequency locations (\"units\" radians/sample)\nN::Dims\t[D] dimensions of signal x\n\noption\n\nn_shift::AbstractVector{<:Real} often is N/2; default zeros(D)\nT::DataType default (eltype(w) == Float64) ? ComplexF64 : ComplexF32\n\nout\n\nx::AbstractArray{<:Number} [(N)] D-dimensional signal\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.dtft_adj-Tuple{AbstractVector{<:Real}, AbstractVector{<:Number}, Int64}","page":"Function References","title":"MIRT.dtft_adj","text":"x = dtft_adj(w, X, N ; n_shift=?)\n\nadjoint for 1D DTFT\n\nxn = sum_m=1^M Xm exp(i wm (n - n_shift)) n=0N-1\n\nThis is the adjoint (transpose) of dtft, not an inverse DTFT.\n\nin\n\nw::AbstractVector{<:Real}\t[M] frequency locations (\"units\" radians/sample)\nX::AbstractVector{ComplexF64}\t[M] spectrum values\nN::Int size of signal x\n\noption\n\nn_shift::Real often is N/2; default 0\nT::DataType output data type; default ComplexF64\n\nout\n\nx::AbstractVector{<:Number}\tsignal [N]\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.dtft_init-Tuple{AbstractMatrix{<:Real}, Tuple{Vararg{Int64, N}} where N}","page":"Function References","title":"MIRT.dtft_init","text":"d = dtft_init(w, N ; n_shift=?)\n\nfor multi-dimensional DTFT (DSFT)\n\nin\n\nw::AbstractMatrix{<:Real}\t[M,D] frequency locations (\"units\" radians/sample)\nN::Dims [D] dimensions of signal x\n\noption\n\nn_shift::AbstractVector{<:Real} often is N/2; default zeros(D)\nT::DataType default ComplexF64 for testing NUFFT accuracy\n\nout\n\nd::NamedTuple with fields\n\n`dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO`\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.dtft_init-Tuple{AbstractVector{<:Real}, Int64}","page":"Function References","title":"MIRT.dtft_init","text":"d = dtft_init(w, N ; n_shift=?)\n\nfor 1D DTFT\n\nin\n\nw::AbstractVector{<:Real}\t[M] frequency locations (\"units\" radians/sample)\nN::Int size of signal x\n\noption\n\nn_shift::Real often is N/2; default 0\nT::DataType default ComplexF64 for testing NUFFT accuracy\n\nout\n\nd::NamedTuple with fields\n\n`dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO`\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.embed!-Union{Tuple{D}, Tuple{T}, Tuple{AbstractArray{T, D}, AbstractVector{<:Number}, AbstractArray{Bool, D}}} where {T, D}","page":"Function References","title":"MIRT.embed!","text":"embed!(array, v, mask ; filler=0)\n\nembed vector v of length sum(mask) into elements of array where mask is true, setting the remaining elements to filler (default 0).\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.embed-Tuple{AbstractMatrix{<:Number}, AbstractArray{Bool}}","page":"Function References","title":"MIRT.embed","text":"array = embed(matrix::AbstractMatrix{<:Number}, mask::AbstractArray{Bool})\n\nEmbed each column of matrix into mask then cat along next dimension In:\n\nmatrix [sum(mask) L]\nmask [(N)]\n\nOut:\n\narray [(N) L]\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.embed-Union{Tuple{T}, Tuple{AbstractVector{T}, AbstractArray{Bool}}} where T<:Number","page":"Function References","title":"MIRT.embed","text":"array = embed(v, mask ; filler=0)\n\nembed vector v of length sum(mask) into elements of an array where mask is true; see embed!.\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.eql_root-Tuple{Real, Real, Real}","page":"Function References","title":"MIRT.eql_root","text":"x = eql_root(a,b,c)\nNumerically stable method for computing the positive root\nof the quadratic polynomial `-ax^2 - 2bx + c, a >= 0`.\nAssumes solvable equations; will throw otherwise.\n\nin\n\na : The negative of the x^2 term. Must be positive.\nb : Half the negative of the x term.\nc : The constant term.\n\nout\n\nx : The positive root that satisfies 0 = -ax^2 - 2bx + c.\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.exp_mult-Tuple{Any, AbstractVector{<:Number}, AbstractVector{<:Number}}","page":"Function References","title":"MIRT.exp_mult","text":"D = exp_mult(A, u, v ; warnboth)\n\nMemory efficient and fast implementation of D = A' * exp(-u * v^T) that is useful for B0-field-corrected MRI image reconstruction.\n\nin:\n\nA [N L] matrix\nu [N] vector\nv [M] vector\nwarnboth warn if both u and v are complex; default: true\n\nout:\n\nD [L M] complex vector: D = A' * exp(-u * v^T)\n\nD_lm = sum_n A_nl^* exp(-u_n v_m)\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.exp_xform-Tuple{AbstractMatrix{<:Number}, AbstractMatrix{<:Number}, AbstractMatrix{<:Number}}","page":"Function References","title":"MIRT.exp_xform","text":"exp_xform(x, u, v ; mode::Symbol = :matrix)\n\nin:\n\nx [N L] possibly complex vector(s)\nu [D N] possibly complex vectors\nv [D M] possibly complex vectors\nmode::Symbol :matrix (default) | :element | :row | :column\n\nout:\n\ny [M L] typically complex vector\n\ny[m,l] = sum_n x[n,l] exp(-sum(u[:,n] .* v[:,m]))\n\nIterates through subsets of the ML matrix designated by :mode (i.e. row, column, element, or just computing the entire matrix) This is the 'slow' 'exact' transform model for MRI.\n\nOutput type will depend on input types.\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.genkspace-NTuple{8, Any}","page":"Function References","title":"MIRT.genkspace","text":"genkspace\n\nGenerate the proper length of k-space trajectory.\n\nIt linearly interpolates the output of genspiral to the correct length() & takes care of the rotations for the interleaves.\n\nld is the length of the data\nnint is the number of interleaves\n\nBrad Sutton; University of Michigan\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.genspi-Tuple{Any, Any}","page":"Function References","title":"MIRT.genspi","text":"Gx, Gy, kx, ky, sx, sy, gts = genspi(...)\n\nThis is translation of C code from scanner: exactly what is played out to gradients at 4us.\n\nmulti-shot spiral design uses Duyn's approximate slewrate limited design augmented with archimedian gmax limit in [args]\n\nD = FOV; cm\nN = matrix size()\nTmax = longest acquisition allowed; s\ndts = output sample spacing; s\ngtype = trajectory type()\n\noption [CVs]\n\nnl = number of interleaves\ngamp = design grad max; G/cm\ngslew = design slew rate; mT/m/ms\nnramp = number of rampdown points; default 0\n\nout\n\nGx; Gy\n\ntime is in sec()\n\nrev 0 12/26/98\toriginal\nrev 1 4/15/99\tlittle better calc of ts\n\nBorrowed from Doug Noll; Univ. of Michigan. Modified to take more input cv's.\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.getindex!-Union{Tuple{D}, Tuple{T}, Tuple{AbstractVector, AbstractArray{T, D}, AbstractArray{Bool, D}}} where {T, D}","page":"Function References","title":"MIRT.getindex!","text":"getindex!(y::AbstractVector, x::AbstractArray{T,D}, mask::AbstractArray{Bool,D})\n\nEquivalent to the in-place y .= x[mask] but is non-allocating.\n\nFor non-Boolean indexing, just use @views y .= A[index], per https://discourse.julialang.org/t/efficient-non-allocating-in-place-getindex-for-bitarray/42268\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.interp1-Tuple{AbstractVector{<:Real}, AbstractVector{<:Number}, Any}","page":"Function References","title":"MIRT.interp1","text":"yi = interp1(x, y, xi ; how=Gridded(Linear()), extrap=0)\n\n1D interpolation of y = f(x) at points xi\n\nIn:\n\nx::AbstractVector{<:Real}\ny::AbstractVector{<:Number}\n\nOption:\n\nhow::Interpolations.InterpolationType default Gridded(Linear())\nextrap::Any how to extrapolate, e.g., Flat(); default 0\n\nother options from Interpolations.jl are Line() Periodic() Reflect() Throw()\n\nOutput is same size as input xi\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.ir_dump-Tuple{Any}","page":"Function References","title":"MIRT.ir_dump","text":"ir_dump(x::Any ; io::IO = stdout)\nir_dump(io::IO, x::Any)\n\nShow all the fields of a structure or NamedTuple more nicely than dump() does\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.ir_load_brainweb_t1_256-Tuple{}","page":"Function References","title":"MIRT.ir_load_brainweb_t1_256","text":"data = ir_load_brainweb_t1_256()\n\nLoad brainweb T1-weighted MRI slice of size 256 × 256.\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.ir_mri_coil_compress-Tuple{AbstractArray{<:Number}}","page":"Function References","title":"MIRT.ir_mri_coil_compress","text":"(odata, σ, Vr) = ir_mri_coil_compress(idata ; ncoil)\n\nMRI coil compression via PCA. Given multiple MRI surface coil images (idata), use SVD/PCA to find a smaller number of virtual coil images (odata).\n\nIn:\n\nidata [(N) n_in]: noisy complex images (2D or 3D) for each coil\n\nOption:\n\nncoil Desired # of virtual coils (default: 1)\n\nOut:\n\nodata [(N) ncoil]: virtual coil images\nσ [n_in]: singular values.\nVr [n_in, ncoil]: compression matrix for reducing other data.\n\ntodo: currently ignores noise correlations\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.ir_mri_kspace_ga_radial-Tuple{}","page":"Function References","title":"MIRT.ir_mri_kspace_ga_radial","text":"kspace = ir_mri_kspace_ga_radial(; Nro=?, Nspoke=?, ...)\n\nGenerate k-space sampling pattern for \"golden angle\" radial sampling.\n\noption\n\nNro:Int\t\tnumber of samples in each readout/spoke, default 256\nNspoke::Int\tnumber of spokes, default 1\nstart::Real\tfirst angle in series [radians], default π/2\nangle::Real\tangular spacing [radians], default GA\ndelta_ro::Real\treadout spacing, default 1/Nro\nshift::Real\t\tshift due to gradient delays, default 0\nradial sample locations are ir * delta_ro\nwhere ir = [-(Nro/2 - 1):1:Nro/2] + shift\n\nout\n\nkspace\t[Nro Nspoke 2] (Float32)\n\nkx and ky k-space locations for Nspoke*Nro samples in interval (-0.5 0.5] for default shift, delta_ro so default units are \"cycles / sample\"\n\n2015-07 Mai Le, original Matlab version\n\n2015-07-04 Jeff Fessler, minor changes to Matlab version\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.ir_mri_sensemap_sim-Tuple{Symbol}","page":"Function References","title":"MIRT.ir_mri_sensemap_sim","text":"(smap,info) = ir_mri_sensemap_sim( :all ; kwargs)\n\nLike ir_mri_sensemap_sim but also returns info with data for all coils, mainly for testing and plotting.\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.ir_mri_sensemap_sim-Tuple{Vector{Tuple{Int64, Int64}}}","page":"Function References","title":"MIRT.ir_mri_sensemap_sim","text":"(smap,info) = ir_mri_sensemap_sim( ir_ic_pair ; kwargs)\n\nLike ir_mri_sensemap_sim but also returns info with data for specific coils where ir_ic_pair::Vector{Tuple{Int,Int}}. (Usually used internally only.)\n\ninfo::NamedTuple geometry information for plots\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.ir_mri_sensemap_sim-Tuple{}","page":"Function References","title":"MIRT.ir_mri_sensemap_sim","text":"smap = ir_mri_sensemap_sim(...)\n\nSimulate 2D or 3D sensitivity maps for sensitivity-encoded MRI based on grivich:00:tmf http://doi.org/10.1119/1.19461\n\nThis code makes maps for multiple coils, but does not model coupling between coils, so most likely it is an approximation at best.\n\noption\n\ndims::Dims\t\timage size; default (64, 64)\ndx::Real\t\tpixel/voxel dimension; default: 3\ndy::Real\t\tpixel/voxel dimension; default: dx\ndz::Real\t\t\"\"\nncoil::Int\t\t# of coils total; default 4\nnring::Int\t\t# of rings of coils; default 1\nrcoil::Real\t\tcoil radius; default dx * nx / 2 * 0.50\ndz_coil\t\t\tring spacing in z; default nz*dz/nring\n(3D geometry is a cylinder)\ncoil_distance::Real\t\tdistance of coil center from isocenter\nfor central ring of coils as a multiple of FOVx,\nwhere FOVx=nx*dx; default 1.2\norbit::Real\t\t\tdefault 360 [degrees]\norbit_start::AbstractVector{<:Real} = fill(0, nring) [degrees]\nscale::Symbol\n:none (default)\n+\tssos_center make SSoS of center = 1\n\nout\n\nsmap\t[dims ncoil]\tsimulated sensitivity maps (complex!)\n\nAll length parameters must have same units (e.g., mm or cm)\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.ir_mri_sensemap_sim_do-NTuple{14, Any}","page":"Function References","title":"MIRT.ir_mri_sensemap_sim_do","text":"(smap, info) = ir_mri_sensemap_sim_do()\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.ir_mri_smap1-NTuple{4, Any}","page":"Function References","title":"MIRT.ir_mri_smap1","text":"ir_mri_smap1()\n\nbased on grivich:00:tmf\n\nfor a circular coil in \"x-y plane\" of radius \"a\"\n\nNote that coil x-y plane is not same as object x-y plane!\n\nReturns (i,j,k) components of B vector for each (x,y,z) location\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.ir_mri_smap_r-Tuple{Any, Any}","page":"Function References","title":"MIRT.ir_mri_smap_r","text":"ir_mri_smap_r(r, z)\n\nfunction for testing near 0\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.jinc-Tuple{Real}","page":"Function References","title":"MIRT.jinc","text":"jinc(x)\n\nReturn jinc(x) = J1(pi*x)/(2x), where J1 is a Bessel function of the first kind.\n\nUnits of x are typically cycles/m.\n\nReturn type is promote_type(typeof(x), Float32).\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.map_many-Tuple{Function, AbstractArray, Tuple{Vararg{Int64, N}} where N}","page":"Function References","title":"MIRT.map_many","text":"y = map_many(fun::Function, x::AbstractArray{<:Any}, idim::Dims)\n\napply a function fun to leading slices of input x; cousin of mapslices\n\nin\n\nfun::Function maps input of size idim to output of some size odim\nx [idim ldim]\n\nout\n\ny [odim ldim]\n\nExample: if fun maps array of size (1,2) to array of size (3,4,5) and if input x has size (1,2,7,8) then output y will have size (3,4,5,7,8) where y[:,:,:,i,j] = fun(x[:,:,i,j])\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.mask_or-Tuple{AbstractMatrix{Bool}}","page":"Function References","title":"MIRT.mask_or","text":"mask_or(mask)\n\ncompress 3D mask to 2D by logical or along z direction\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.mask_outline-Tuple{AbstractMatrix{Bool}}","page":"Function References","title":"MIRT.mask_outline","text":"mask_outline(mask)\n\nreturn outer boundary of 2D mask (or mask_or for 3D)\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.maskit-Tuple{AbstractArray{<:Number}, AbstractArray{Bool}}","page":"Function References","title":"MIRT.maskit","text":"maskit(x::AbstractArray{<:Number})\n\nopposite of embed\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.max_percent_diff-Tuple{Any, Any}","page":"Function References","title":"MIRT.max_percent_diff","text":"d = max_percent_diff(s1, s2, [options])\n\nCompute the \"maximum percent difference\" between two signals: s1, s2.\n\nDefault is to normalize by maximum(abs.(s1)).\n\noptions\n\nmaxboth::Bool use max of both arguments to normalize; default false\nnormalize::Bool normalize each before comparing; default false\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.mri_kspace_spiral-Tuple{}","page":"Function References","title":"MIRT.mri_kspace_spiral","text":"kspace, omega, gradxy = mri_kspace_spiral( [options] )\n\nMake k-space spiral trajectory based on GE 3T scanner constraints\n\nOption:\n\nN dimention of reconstructed image\nNt # of time points\nfov field of view in cm\ndt time sampling interval out; default 5e-6 sec\ngamp::Real design gradient amplitude max, G/cm; default 2.2\ngslew::Int design slew rate, mT/m/ms; default 180\n\nOut:\n\nkspace [Nt,2] kspace trajectory [kx ky] in cycles/cm, NO: cycles/FOV\nomega [Nt,2] \"\" in radians\ngradxy [Nt 2] gradient waveforms in (units?)\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.mri_trajectory-Union{Tuple{}, Tuple{D}} where D","page":"Function References","title":"MIRT.mri_trajectory","text":"kspace, omega, wi = mri_trajectory( ; ktype, N, fov, arg_wi, kwargs...)\n\nGenerate kspace trajectory samples and density compensation functions.\n\noption\n\nktype::Symbol k-space trajectory type; default :radial\nN::Dims target image size; default (32,30)\nfov field of view in x and y (and z); default (250,250) mm\narg_wi options to pass to ir_mri_density_comp - not yet done\nkwargs options for the specific trajectory\n\nout\n\nkspace [Nk 2|3] kspace samples in units 1/fov\nomega [Nk 2|3] trajectory samples over [-π,π)\nwi [Nk 1] (optional) density compensation factors\n\ntrajectory types: :cartesian :radial :cart_y_2 :random :half8 :epi_sin :spiral0 :spiral1 :spiral3 :rosette3 :epi_under :gads (emulate golden-angle data sharing per winkelmann:07:aor)\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.mri_trajectory_gads-Union{Tuple{Nring}, Tuple{Tuple{Vararg{Int64, N}} where N, Any}} where Nring","page":"Function References","title":"MIRT.mri_trajectory_gads","text":"omega, wi = mri_trajectory_gads(N, fov ; ...)\n\nemulate 2D golden angle radial sampling with data sharing\n\noption: Nro # of samples in each readout/spoke shift shift along read-out due to gradient delays (stress) kmax_frac fractions of maximum krad (0.5) for rings (annuli) under under-sampling factor for each annulus\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.mri_trajectory_radial-Tuple{Tuple{Vararg{Int64, N}} where N, Any}","page":"Function References","title":"MIRT.mri_trajectory_radial","text":"mri_trajectory_radial()\n\noption:\n\nna_nr default ensures proper sampling at edge of k-space\nna angular spokes; default: na_nr * nr\nnr radial samples per spoke\nir default: 0:nr\n\ntodo: generalize to 3D using barger:02:trc\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.mri_trajectory_rosette3-Tuple{Any, Any}","page":"Function References","title":"MIRT.mri_trajectory_rosette3","text":"mri_trajectory_rosette3(N, fov ; ...)\n\n3d rosette, with default parameters from bucholz:08:miw\n\noptions: omax: maximum omega nt : time samples (65.536 ms for 4 usec dt) dt : time sample spacing (4 usec) ti : time samples\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.ncg-Tuple{AbstractVector, AbstractVector{<:Function}, AbstractVector{<:Function}, AbstractArray{<:Number}}","page":"Function References","title":"MIRT.ncg","text":"(x,out) = ncg(B, gradf, curvf, x0 ; ...)\n\nNonlinear preconditioned conjugate gradient algorithm to minimize a general \"inverse problem\" cost function of the form Psi(x) = sum_j=1^J f_j(B_j x) where each function f_j(v) has a quadratic majorizer of the form\n\nq_j(vu) = f_j(u) + nabla f_j(u) (v - u) + 12 v - u^2_C_j(u)\n\nwhere C_j(u) is diagonal matrix of curvatures. (It suffices for each f_j to have a Lipschitz smooth gradient.)\n\nThis CG method uses a majorize-minimize (MM) line search.\n\nin\n\nB\t\tarray of J blocks B_1B_J\ngradf\tarray of J functions return gradients of f_1f_J\ncurvf\tarray of J functions z -> curv(z) that return a scalar\n\nor a vector of curvature values for each element of z\n\nx0\tinitial guess; need length(x) == size(B[j],2) for j=1J\n\nUsually x0 is a Vector but it can be an Array if each B_j is a linear operator (e.g., LinearMapAO) of suitable \"dimensions\".\n\noption\n\nniter\t# number of outer iterations; default 50\nninner\t# number of inner iterations of MM line search; default 5\nP\t\t# preconditioner; default I\nbetahow\t\"beta\" method for the search direction; default :dai_yuan\nfun\t\tUser-defined function to be evaluated with two arguments (x,iter).\nIt is evaluated at (x0,0) and then after each iteration.\n\noutput\n\nx\t\tfinal iterate\nout\t\t[niter+1] (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))\n(all 0 by default). This is an array of length niter+1\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.ncg-Tuple{Function, Function, AbstractArray{<:Number}}","page":"Function References","title":"MIRT.ncg","text":"(x,out) = ncg(grad, curv, x0, ...)\n\nspecial case of ncg (nonlinear CG) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.ndgrid-Tuple{AbstractVector, AbstractVector, AbstractVector}","page":"Function References","title":"MIRT.ndgrid","text":"(xx,yy,zz) = ndgrid(x::AbstractVector{<:Any}, y::..., z::...) todo - improve?\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.ndgrid-Tuple{AbstractVector, AbstractVector}","page":"Function References","title":"MIRT.ndgrid","text":"(xx,yy) = ndgrid(x::AbstractVector{<:Any}, y::AbstractVector{<:Any}) todo - improve?\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.nufft_eltype-Tuple{Type{<:Integer}}","page":"Function References","title":"MIRT.nufft_eltype","text":"nufft_eltype(::DataType)\n\nensure plan_nfft eltype is Float32 or Float64\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.nufft_errors-Tuple{}","page":"Function References","title":"MIRT.nufft_errors","text":"w, errs = nufft_errors( ; M=?, w=?, N=?, n_shift=?, ...)\n\nCompute NUFFT approximation errors (for signal of length N of unit norm), for given digital frequency values w, i.e., Ω.\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.nufft_init-Tuple{AbstractArray{<:Real}, Int64}","page":"Function References","title":"MIRT.nufft_init","text":"p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=0)\n\nSetup 1D NUFFT, for computing fast O(N log N) approximation to\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M\n\nin\n\nw::AbstractArray{<:Real} [M] frequency locations (aka Ω, units radians/sample)\neltype(w) determines the plan_nfft type; so to save memory use Float32!\nsize(w) determines odim for A if operator=true\nN::Int signal length\n\noption\n\nnfft_m::Int\t\tsee NFFT.jl documentation; default 4\nnfft_sigma::Real\t\"\", default 2.0\nn_shift::Real\t\toften is N/2; default 0\npi_error::Bool\t\tthrow error if w π, default true\nSet to false only if you are very sure of what you are doing!\ndo_many::Bool\tsupport extended inputs via map_many? default true\noperator::Bool=true set to false to make A an LinearMapAM\n\nout\n\np NamedTuple\n\n(nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A::LinearMapAO)\n\nThe default settings are such that for a 1D signal of length N=512, the worst-case error is below 1e-5 which is probably adequate for typical medical imaging applications. To verify this statement, run nufft_plot1() and see plot.\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.nufft_init-Union{Tuple{D}, Tuple{AbstractArray{<:Real}, Tuple{Vararg{Int64, D}}}} where D","page":"Function References","title":"MIRT.nufft_init","text":"p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=?)\n\nSetup multi-dimensional NUFFT, for computing fast O(N log N) approximation to\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M\n\nin\n\nw::AbstractArray{<:Real} [M,D] frequency locations (aka Ω, units radians/sample)\n\n+ `eltype(w)` determines the `plan_nfft` type; so to save memory use Float32!\n+ `size(w)[1:(end-1)]` determines `odim` if `operator=true`\n\nN::Dims{D} signal dimensions\n\noption\n\nnfft_m::Int\t\tsee NFFT.jl documentation; default 4\nnfft_sigma::Real\t\"\", default 2.0\nn_shift::AbstractVector{<:Real}\t[D]\toften is N/2; default zeros(D)\npi_error::Bool\t\tthrow error if w π, default true\nSet to false only if you are very sure of what you are doing!\ndo_many::Bool\tsupport extended inputs via map_many? default true\noperator::Bool=true set to false to make A an LinearMapAM\n\nThe default do_many option is designed for parallel MRI where the k-space sampling pattern applies to every coil. It may also be useful for dynamic MRI with repeated sampling patterns. The coil and/or time dimensions must come after the spatial dimensions.\n\nout\n\np NamedTuple with fields\n\n`nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A=LinearMapAO`\n(Using `operator=true` allows the `LinearMapAO` to support `do_many`.)\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.nufft_typer-Union{Tuple{T}, Tuple{Type{T}, T}} where T","page":"Function References","title":"MIRT.nufft_typer","text":"nufft_typer(T::DataType, x::AbstractArray{<:Real} ; warn::Bool=true)\n\ntype conversion wrapper for nfft()\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.ogm_ls-Tuple{AbstractVector, AbstractVector{<:Function}, AbstractVector{<:Function}, AbstractArray{<:Number}}","page":"Function References","title":"MIRT.ogm_ls","text":"(x,out) = ogm_ls(B, gradf, curvf, x0; niter=?, ninner=?, fun=?)\n\nOGM with a line search; Drori&Taylor @arxiv 1803.05676; to minimize a general \"inverse problem\" cost function of the form Psi(x) = sum_j=1^J f_j(B_j x) where each function f_j(v) has a quadratic majorizer of the form\n\nq_j(vu) = f_j(u) + nabla f_j(u) (v - u) + 12 v - u^2_C_j(u)\n\nwhere C_j(u) is diagonal matrix of curvatures. (It suffices for each f_j to have a Lipschitz smooth gradient.)\n\nThis OGM method uses a majorize-minimize (MM) line search.\n\nin\n\nB\t\tarray of J blocks B_1B_J\ngradf\tarray of J functions return gradients of f_1f_J\ncurvf\tarray of J functions z -> curv(z) that return a scalar\n\nor a vector of curvature values for each element of z\n\nx0\tinitial guess; need length(x) == size(B[j],2) for j=1J\n\noption\n\nniter\t# number of outer iterations; default 50\nninner\t# number of inner iterations of MM line search; default 5\nfun\t\tUser-defined function to be evaluated with two arguments (x,iter).\nIt is evaluated at (x0,0) and then after each iteration.\n\noutput\n\nx\t\tfinal iterate\nout\t\t[niter+1] (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))\n(all 0 by default). This is an array of length niter+1\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.ogm_ls-Tuple{Function, Function, AbstractVector{<:Number}}","page":"Function References","title":"MIRT.ogm_ls","text":"(x,out) = ogm_ls(grad, curv, x0, ...)\n\nspecial case of ogm_ls (OGM with line search) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.pogm_restart-Tuple{Any, Function, Function, Real}","page":"Function References","title":"MIRT.pogm_restart","text":"x, out = pogm_restart(x0, Fcost, f_grad, f_L ;\nf_mu=0, mom=:pogm, restart=:gr, restart_cutoff=0.,\nbsig=1, niter=10, g_prox=(z,c)->z, fun=...)\n\nIterative proximal algorithms (PGM=ISTA, FPGM=FISTA, POGM) with restart.\n\nin\n\nx0 initial guess\nFcost function for computing the cost function value F(x)\n(needed only if restart === :fr)\nf_grad function for computing the gradient of f(x)\nf_L Lipschitz constant of the gradient of f(x)\n\noption\n\nf_mu strong convexity parameter of f(x); default 0.\nif f_mu > 0, (alpha beta_k gamma_k) is chosen by Table 1 in [KF18]\ng_prox function g_prox(z,c) for the proximal operator for g(x)\ng_prox(z,c) computes argmin_x 12 z-x^2 + c g(x)\nmom\tmomentum option\n:pogm POGM (fastest); default!\n:fpgm (FISTA), gamma_k = 0\n:pgm PGM (ISTA), beta_k = gamma_k = 0\nrestart restart option\n:gr gradient restart; default!\n:fr function restart\n:none no restart\nrestart_cutoff for :gr restart if cos(angle) < this; default 0.\nbsig gradient \"gamma\" decrease option (value within [0 1]); default 1\nsee barsigma in [KF18]\nniter number of iterations; default 10\nfun function(iter, xk, yk, is_restart) user-defined function evaluated each iter with secondary xk, primary yk, and boolean is_restart indicating whether this iteration was a restart\n\nout\n\nx\tfinal iterate\nfor PGM (ISTA): x_N = y_N\nfor FPGM (FISTA): primary iterate y_N\nfor POGM: secondary iterate x_N, see [KF18]\nout [fun(0, x0, x0, false), fun(1, x1, y1, is_restart), ...] array of length [niter+1]\n\nOptimization Problem: Nonsmooth Composite Convex Minimization\n\nargmin_x F(x) F(x) = f(x) + g(x))\nf(x) smooth convex function\ng(x) convex function, possibly nonsmooth and \"proximal-friendly\" [CP11]\n\nOptimization Algorithms:\n\nAccelerated First-order Algorithms when g(x) = 0 [KF18] iterate as below for given coefficients (alpha beta_k gamma_k)\n\nFor k = 0,1,...\ny_k+1 = x_k - alpha f(x_k) : gradient update\nx_k+1 = y_k+1 + beta_k (y_k+1 - y_k) + gamma_k (y_k+1 - x_k) : momentum update\n\nProximal versions of the above for g(x) neq 0 are in the below references, and use the proximal operater prox_g(z) = argmin_x 12z-x^2 + g(x).\n\nProximal Gradient method (PGM or ISTA) - beta_k = gamma_k = 0. [BT09]\nFast Proximal Gradient Method (FPGM or FISTA) - gamma_k = 0. [BT09]\nProximal Optimized Gradient Method (POGM) - [THG15]\nFPGM(FISTA) with Restart - [OC15]\nPOGM with Restart - [KF18]\n\nreferences\n\n[CP11] P. L. Combettes, J. C. Pesquet,\n\n\"Proximal splitting methods in signal processing,\" Fixed-Point Algorithms for Inverse Problems in Science and Engineering, Springer, Optimization and Its Applications, 2011.\n\n[KF18] D. Kim, J.A. Fessler,\n\n\"Adaptive restart of the optimized gradient method for convex optimization,\" 2018 Arxiv:1703.04641, [http://doi.org/10.1007/s10957-018-1287-4]\n\n[BT09] A. Beck, M. Teboulle:\n\n\"A fast iterative shrinkage-thresholding algorithm for linear inverse problems,\" SIAM J. Imaging Sci., 2009.\n\n[THG15] A.B. Taylor, J.M. Hendrickx, F. Glineur,\n\n\"Exact worst-case performance of first-order algorithms for composite convex optimization,\" Arxiv:1512.07516, 2015, SIAM J. Opt. 2017 [http://doi.org/10.1137/16m108104x]\n\nCopyright 2017-3-31, Donghwan Kim and Jeff Fessler, University of Michigan 2018-08-13 Julia 0.7.0 2019-02-24 interface redesign\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.poweriter-Tuple{Any}","page":"Function References","title":"MIRT.poweriter","text":"v1,σ1 = poweriter(A; niter=?, ...)\n\nDetermine first right singular vector v1 and first singular value σ1 of A by applying power iteration to A'A\n\nin\n\nA M × N matrix\n\noption\n\nniter default 200\nx0 initial guess of v1\ntol stopping tolerance for s1, default 1e-6\nchat::Bool verbose? default false\n\nout\n\nv1 [N] principal right singular vector\nσ1 spectral norm of A\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.rect-Tuple{Real}","page":"Function References","title":"MIRT.rect","text":"rect(x::Real)\n\nUnit width rect function. Potential problem? Bring up with fess.\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.reverser-Tuple{AbstractArray, AbstractVector{<:Int64}}","page":"Function References","title":"MIRT.reverser","text":"y = reverser(x, dims)\n\nreverse array along specified dimensions (or all if unspecified)\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.rmsd100-Tuple{AbstractArray{<:Number}, AbstractArray{<:Number}}","page":"Function References","title":"MIRT.rmsd100","text":"rmsd = rmsd100(x, y ; mask)\n\nCompute 100 * RMSD (root mean squared difference) between x and y within domain mask.\n\nin\n\nx : array\ny : another array of same size\n\noption:\n\nmask::Array{Bool} : domain over which to compute the RMSE; default trues(size(x))\n\nout\n\nrmsd : rmsd of x vs y within mask in %\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.rotate2d-Tuple{Any, Any, Any}","page":"Function References","title":"MIRT.rotate2d","text":"(xr,yr) = rotate2d(x, y, theta) 2D rotation\n\n\n\n\n\n","category":"method"},{"location":"reference/#MIRT.snr2sigma-Tuple{Any, AbstractArray{<:Complex}}","page":"Function References","title":"MIRT.snr2sigma","text":"snr2sigma(db, yb)\n\nConvert SNR in dB to noise σ for complex gaussian noise. No sqrt(2) factors is needed here because randn(Complex{Float}) already accounts for that. (See randn documentation.)\n\n\n\n\n\n","category":"method"},{"location":"#MIRT:-The-Michigan-Image-Reconstruction-Toolbox","page":"Home","title":"MIRT: The Michigan Image Reconstruction Toolbox","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"MIRT.jl is a collection of Julia functions for performing image reconstruction and solving related inverse problems.","category":"page"},{"location":"","page":"Home","title":"Home","text":"It is very much still under construction, although there are already enough tools to solve useful problems like compressed sensing MRI reconstruction. Trying the demos is a good way to get started.","category":"page"},{"location":"","page":"Home","title":"Home","text":"The documentation is even more still under construction.","category":"page"},{"location":"","page":"Home","title":"Home","text":"Further examples will likely be shared at JuliaImageRecon; see Examples there.","category":"page"}] +[{"location":"generated/examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"EditURL = \"../../../lit/examples/1-mirt.jl\"","category":"page"},{"location":"generated/examples/1-mirt/#1-mirt","page":"MIRT overview","title":"MIRT overview","text":"","category":"section"},{"location":"generated/examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"The Julia package MIRT.jl provides tools for performing image reconstruction and solving related inverse problems.","category":"page"},{"location":"generated/examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"For more tools and more examples, see JuliaImageRecon","category":"page"},{"location":"generated/examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"","category":"page"},{"location":"generated/examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"This page was generated using Literate.jl.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"EditURL = \"../../../lit/examples/2-nufft.jl\"","category":"page"},{"location":"generated/examples/2-nufft/#2-nufft","page":"NUFFT","title":"NUFFT","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Examples illustrating the nufft methods in the Julia package MIRT.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"The nufft functions in this package are wrappers around NFFT.jl.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"The plots on this page are simply sanity checks about of the approximation error for that package and they help verify the correctness of the wrapper.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This page comes from a single Julia file: 2-nufft.jl.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"You can access the source code for such Julia documentation using the 'Edit on GitHub' link in the top right. You can view the corresponding notebook in nbviewer here: 2-nufft.ipynb, or open it in binder here: 2-nufft.ipynb.","category":"page"},{"location":"generated/examples/2-nufft/#Setup","page":"NUFFT","title":"Setup","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Packages needed here.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"using Plots; default(markerstrokecolor = :auto, label=\"\")\nusing MIRTjim: prompt\nusing MIRT: nufft_init, nufft_errors, dtft\nusing InteractiveUtils: versioninfo","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"The following line is helpful when running this file as a script; this way it will prompt user to hit a key after each figure is displayed.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"isinteractive() && prompt(:prompt);\nnothing #hide","category":"page"},{"location":"generated/examples/2-nufft/#1D-example","page":"NUFFT","title":"1D example","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This code illustrates how to call the NUFFT.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Ω = range(-1,1,301) * π # digital frequencies (radians/sample)\nN = 16 # # of samples\n(nufft, nufft_adjoint, Anufft) = nufft_init(Ω, N)\nx = randn(ComplexF32, N) # random 1D signal\ny1 = nufft(x) # one way to compute NUFFT\ny2 = Anufft * x # another way to compute NUFFT\n@assert y1 == y2\nyd = dtft(Ω, x) # exact (slow) nonuniform discrete Fourier transform\nmaximum(abs, yd - y1) # worst error for this 1D signal","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This plot shows that the NUFFT is very close to the exact nonuniform DFT.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"xticks = ([-π,0,π], [\"-π\", \"0\", \"π\"]); xlims = (-π,π); xlabel=\"Ω\"\np1 = plot(ylabel=\"Real part\"; xlabel, xlims, xticks)\nplot!(Ω, real(y1), label=\"real(NUFFT)\", line=:dash)\nplot!(Ω, real(yd), label=\"real(DTFT)\", line=:dot)\np2 = plot(ylabel=\"Imag part\"; xlabel, xlims, xticks)\nplot!(Ω, imag(y1), label=\"imag(NUFFT)\", line=:dash)\nplot!(Ω, imag(yd), label=\"imag(NUFFT)\", line=:dot)\np3 = plot(Ω, real(yd - y1), label=\"real(Error)\"; xlabel, xlims, xticks)\np4 = plot(Ω, imag(yd - y1), label=\"imag(Error)\"; xlabel, xlims, xticks)\nplot(p1, p2, p3, p4)","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"prompt()","category":"page"},{"location":"generated/examples/2-nufft/#Plot-worst-case-errors-vs-N","page":"NUFFT","title":"Plot worst-case errors vs N","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Plot worst-case error over all frequencies Ω between 0 and 2πN for various N.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Even for N=512 the error is below 4e-6.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Nlist = 2 .^ (4:9)\nNlist = [Nlist..., 191, 385] # test odd N values\nerrfunn = N -> maximum(nufft_errors( ; N)[2])\nelist = errfunn.(Nlist)\npn = scatter(Nlist, elist,\n xtick=Nlist, color=:red, xlabel=\"N\", ylabel=\"error\", yaxis=:log10)","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"prompt()","category":"page"},{"location":"generated/examples/2-nufft/#Plot-error-vs-NFFT-m.","page":"NUFFT","title":"Plot error vs NFFT m.","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"For the default m = 4 the worst-case error is below 4e-6.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"mlist = 3:7\nerrfunm = nfft_m -> maximum(nufft_errors( ; nfft_m)[2])\nworst_m = errfunm.(mlist)\npm = scatter(mlist, worst_m,\n xlabel=\"m\", ylabel=\"error\", color=:magenta, yaxis=:log10)","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"prompt()","category":"page"},{"location":"generated/examples/2-nufft/#Plot-error-vs-NFFT-sigma.","page":"NUFFT","title":"Plot error vs NFFT sigma.","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"For the default σ = 4 the worst-case error is below 4e-6.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"slist = [1.5; 2:6] # σ\nerrfuns = nfft_sigma -> maximum(nufft_errors( ; nfft_sigma)[2])\nworst_s = errfuns.(slist)\nps = scatter(slist, worst_s,\n xlabel=\"σ\", ylabel=\"error\", color=:blue, yaxis=:log10)","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"prompt()","category":"page"},{"location":"generated/examples/2-nufft/#Reproducibility","page":"NUFFT","title":"Reproducibility","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This page was generated with the following version of Julia:","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"using InteractiveUtils: versioninfo\nio = IOBuffer(); versioninfo(io); split(String(take!(io)), '\\n')","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"And with the following package versions","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"import Pkg; Pkg.status()","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This page was generated using Literate.jl.","category":"page"},{"location":"methods/#Methods-list","page":"Methods","title":"Methods list","text":"","category":"section"},{"location":"methods/","page":"Methods","title":"Methods","text":"","category":"page"},{"location":"methods/#Methods-usage","page":"Methods","title":"Methods usage","text":"","category":"section"},{"location":"methods/","page":"Methods","title":"Methods","text":"Modules = [MIRT]","category":"page"},{"location":"methods/#MIRT.MIRT","page":"Methods","title":"MIRT.MIRT","text":"MIRT is the Michigan Image Reconstruction Toolbox\n\n\n\n\n\n","category":"module"},{"location":"methods/#MIRT.LineSearchMM","page":"Methods","title":"MIRT.LineSearchMM","text":"LineSearchMM{...}\n\nMutable struct for MM-based line searches.\n\n\n\n\n\n","category":"type"},{"location":"methods/#MIRT.LineSearchMM-Union{Tuple{Tw}, Tuple{AbstractVector{<:AbstractArray}, AbstractVector{<:AbstractArray}, AbstractVector{<:Function}, AbstractVector{<:Function}}} where Tw<:MIRT.LineSearchMMWork","page":"Methods","title":"MIRT.LineSearchMM","text":"LineSearchMM(gradf, curvf, u, v; α0 ...)\nLineSearchMM(u, v, dot_gradf, dot_curvf; α0 ...)\n\nConstruct iterator for line-search based on majorize-minimize (MM) approach for a general family of 1D cost functions of the form h(α) = sum_j=1^J f_j(u_j + α v_j) where each function f_j(t) has a quadratic majorizer of the form\n\nq_j(ts) = f_j(t) + nabla f_j(s) (t - s) + 12 t - s^2_C_j(s)\n\nwhere C_j() is diagonal matrix of curvatures. (It suffices for each f_j to have a Lipschitz smooth gradient.)\n\nEach function f_j mathcalX_j mathbbR where conceptually mathcalX_j mathbbR^M_j, but we allow more general domains.\n\nThere are two outer constructors (based on the positional arguments):\n\nThe simple way (not type stable) provides\ngradf vector of J functions return gradients of f_1f_J\ncurvf vector of J functions z -> curv(z) that return a scalar or a vector of curvature values for each element of z\nThe fancier way (type stable) provides\ndot_gradf::AbstractVector{<:Function} = make_dot_gradf.(gradf) See make_dot_gradf.\ndot_curvf::AbstractVector{<:Function} = make_dot_curvf.(curvf) See make_dot_curvf.\n\nin\n\nu vector of J arrays u_1u_J (typically vectors)\nv vector of J arrays v_1v_J (typically vectors)\n\nWe require axes(u_j) == axes(v_j) for all j=1J.\n\noption\n\nα0::Real = 0f0 initial guess for step size\nninner::Int = 5 # max number of inner iterations of MM line search\nwork = LineSearchMMWork(u, v, α) pre-allocated work space for u_j+α v_j\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.LineSearchMMWork","page":"Methods","title":"MIRT.LineSearchMMWork","text":"LineSearchMMWork{Tz <: AbstractVector{<:AbstractArray}}\n\nWorkspace for storing z_j = u_j + α v_j in MM-based line search.\n\nIf all of those z_j arrays had the same eltype, then we could save memory by allocating just the longest vector needed. But for Unitful data they could have different eltypes and sizes, which would require a lot of reinterpret and reshape to handle. So we just allocate separate work arrays for each j.\n\n\n\n\n\n","category":"type"},{"location":"methods/#MIRT.Afft-Union{Tuple{AbstractArray{<:Bool, D}}, Tuple{Tw}, Tuple{D}} where {D, Tw<:Number}","page":"Methods","title":"MIRT.Afft","text":"A = Afft(samp::AbstractArray{Bool} ; T, dims, operator, work, ...)\n\nMake a LinearMapAO operator object for (under-sampled) FFT, of type T, using given sampling pattern samp. Especially for compressed sensing MRI with Cartesian sampling.\n\nOption:\n\nT::Type = ComplexF32\ndims = 1:D apply fft/bfft only along these dimensions\nfft_forward::Bool = true Use false to have bfft! in forward model.\noperator::Bool = true set to false to return a LinearMapAM\nwork::AbstractArray work space for in-place fft operations\nremaining arguments are passed to plan_fft\n\nOutput\n\nReturns a LinearMapsAA.LinearMapA[M|O] object.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.Afft-Union{Tuple{Tuple{Vararg{Int64, D}}}, Tuple{Tw}, Tuple{D}, Tuple{Tuple{Vararg{Int64, D}}, Any}} where {D, Tw<:Number}","page":"Methods","title":"MIRT.Afft","text":"A = Afft(xdim::Dims, fdim ; T, operator, unitary, work, ...)\n\nMake a <:LinearMapAX operator object for the FFT of an array of size xdim, along dimensions fdim, of type T.\n\nIn:\n\nxdim::Dims{D} array size\nfdim = 1:D apply fft/bfft only along these dimensions\n\nOption:\n\nT::Type = ComplexF32\noperator::Bool = true return a LinearMapAO set to false to return a LinearMapAM\nunitary::Bool = false set to true for unitary DFT\nwork::AbstractArray work space for in-place fft operations\nremaining arguments are passed to plan_fft\n\nOutput\n\nReturns a LinearMapsAA.LinearMapA[M|O] object.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.Anufft-Tuple{AbstractArray{<:Real}, Int64}","page":"Methods","title":"MIRT.Anufft","text":"Anufft(ω, N ; kwargs ...)\n\nMake a LinearMapAO object of size length(ω) × prod(N). See nufft_init for options.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.Aodwt-Tuple{Tuple{Vararg{Int64, N}} where N}","page":"Methods","title":"MIRT.Aodwt","text":"A, levels, mfun = Aodwt(dims ; level::Int=3, wt=wavelet(WT.haar))\n\nCreate orthogonal discrete wavelet transform (ODWT) LinearMapAA\n\nin\n\ndims::Dims tuple of dimensions\n\noption\n\nlevel::Int # of levels; default 3\nwt wavelet transform type (see Wavelets package); default Haar\noperator::Bool=true default to LinearMapAO\nT::Type : Float32 by default; use ComplexF32 if needed\n\nout\n\nA a LinearMapAX object\nscales array of size dims showing the scale of each coefficient\n\nwhich is useful when imposing scale-dependent regularization\n\nmfun convenience function for A*X when X is a Matrix or Array (not vector)\n\n2019-02-23 Jeff Fessler, University of Michigan\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.Asense-Union{Tuple{Tw}, Tuple{D}, Tuple{AbstractArray{<:Bool, D}, Vector{<:AbstractArray{<:Number}}}} where {D, Tw<:Number}","page":"Methods","title":"MIRT.Asense","text":"Asense(samp, smaps; T)\n\nConstruct a MRI encoding operator model for D-dimensional Cartesian sampling pattern samp and coil sensitivity maps smaps.\n\nThe input smaps can either be a D+1 dimensional array of size (size(samp)..., ncoil), or a Vector of ncoil arrays of size size(samp).\n\nInput\n\nsamp::AbstractArray{<:Bool} D-dimensional sampling pattern.\nsmaps::Vector{<:AbstractArray{<:Number}} or AbstractArray{<:Number}\n\nOption\n\nT::Type = ComplexF32\ndims = 1:D apply fft/bfft only along these dimensions\nfft_forward::Bool = true Use false to have bfft! in forward model.\nunitary::Bool = false set to true for unitary DFT\nremaining arguments are passed to plan_fft\n\nOutput\n\nReturns a LinearMapsAA.LinearMapAO object.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT._show_struct-Tuple{IO, MIME{Symbol(\"text/plain\")}, Any}","page":"Methods","title":"MIRT._show_struct","text":"_show_struct(io::IO, ::MIME\"text/plain\", st::Any)\n\nInformative way to show fields of a struct (composite type).\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.caller_name-Tuple{}","page":"Methods","title":"MIRT.caller_name","text":"caller_name() or caller_name(;level=4)\n\nReturn \"filename line fun():\" as a string to describe where this function was called.\n\nStack levels:\n\n1: #caller_name\n2: caller_name()\n3: function that invoked caller()\n4: the calling function we want to return\n\nHence the default level is 4, but we increment it by one in case user says @show caller_name() in which case stack[3] is a macro expansion.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diff_adj-Union{Tuple{D}, Tuple{AbstractVector{<:Number}, Tuple{Vararg{Int64, D}}}} where D","page":"Methods","title":"MIRT.diff_adj","text":"Z = diff_adj(dx, N::Dims{D} ; dims = 1:D)\n\nAdjoint of finite differences of arrays along one or more dimensions. By default performs the same operations as vec(Z) = (I_N_d otimes cdots otimes D_N_1) dots (D_N_d otimes cdots otimes I_N_1) * d where D_N denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).\n\nin\n\ndx vector of typical length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1\nN::Dims desired output size\n\noption\n\ndims dimension(s) for performing adjoint finite differences; default 1:ndims(X)\n\nout\n\nZ N_1 × ... × N_d array by default\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diff_forw-Union{Tuple{AbstractArray{<:Number, D}}, Tuple{D}} where D","page":"Methods","title":"MIRT.diff_forw","text":"d = diff_forw(X ; dims = 1:ndims(X))\n\nFinite differences along one or more dimensions of an array, e.g., for anisotropic TV regularization.\n\nBy default performs the same operations as d = (I_N_d otimes cdots otimes D_N_1) dots (D_N_d otimes cdots otimes I_N_1) vec(X) where D_N denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).\n\nInput dimension N must exceed 1 for each dimension specified by dims.\n\nin\n\nX N_1 × ... × N_d array (typically an N-D image).\n\noption\n\ndims dimension(s) for performing finite differences; default 1:ndims(X)\n\nmust have unique elements and be a nonempty subset of 1:ndims(X)\n\nout\n\nd vector of default length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diff_map-Union{Tuple{Tuple{Vararg{Int64, D}}}, Tuple{D}} where D","page":"Methods","title":"MIRT.diff_map","text":"T = diff_map(N::Dims{D} ; dims = 1:D)\n\nin\n\nN::Dims image size\n\nout\n\nT LinearMapAA object for computing finite differences via T*x\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl!-Union{Tuple{Nx}, Tuple{Ng}, Tuple{Tx}, Tuple{Tg}, Tuple{AbstractArray{Tg, Ng}, AbstractArray{Tx, Nx}, AbstractVector{Int64}}} where {Tg, Tx, Ng, Nx}","page":"Methods","title":"MIRT.diffl!","text":"diffl!(g::AbstractArray, x::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nWhen x is a N-dimensional array, the ith slice of the g array (along its last dimension) is the diffl! of x along dims[i]. This is useful for total variation (TV) and other regularizers that need finite differences along multiple dimensions.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl!-Union{Tuple{N}, Tuple{Tx}, Tuple{Tg}, Tuple{AbstractArray{Tg, N}, AbstractArray{Tx, N}, Int64}} where {Tg, Tx, N}","page":"Methods","title":"MIRT.diffl!","text":"diffl!(g::AbstractArray, x::AbstractArray, dim::Int ; ...)\n\nApply left finite difference operator to input array x, storing the result \"in-place\" in pre-allocated output array g. (The letter g is mnemonic for \"gradient\".)\n\nArrays g and x must have the same size, and cannot alias. By default, the \"first\" elements of g are zero for dimension dim. The default is dim=1.\n\nOption:\n\nadd::Bool = false use x[i] + x[i-1] instead of x[i] - x[i-1] (useful for certain diagonal majorizers).\nedge::Symbol = :zero set the first elements of dimension dim to 0\nChoose edge=:circ to use circulant (aka periodic) boundary conditions.\nChoose edge=:none to leave the first elements untouched.\n\nExample\n\njulia> x = [2, 6, 7]; g = similar(x); diffl!(g, x)\n3-element Vector{Int64}:\n 0\n 4\n 1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl-Tuple{AbstractArray, AbstractVector{Int64}}","page":"Methods","title":"MIRT.diffl","text":"g = diffl(x::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nAllocating version of diffl! for dims\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl-Tuple{AbstractArray, Int64}","page":"Methods","title":"MIRT.diffl","text":"g = diffl(x::AbstractArray, dim::Int ; ...)\n\nAllocating version of diffl! along dim\n\nExample\n\njulia> x = [1,2] .+ [10 30 70]; g = diffl(x, 2)\n2×3 Matrix{Int64}:\n 0 20 40\n 0 20 40\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl-Tuple{AbstractArray}","page":"Methods","title":"MIRT.diffl","text":"g = diffl(x::AbstractArray ; ...)\n\nAllocating version of diffl! along dim=1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj!-Union{Tuple{Ng}, Tuple{Nz}, Tuple{Tg}, Tuple{Tz}, Tuple{AbstractArray{Tz, Nz}, AbstractArray{Tg, Ng}, AbstractVector{Int64}}} where {Tz, Tg, Nz, Ng}","page":"Methods","title":"MIRT.diffl_adj!","text":"diffl_adj!(z::AbstractArray, g::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nAdjoint of diffl! for multiple dimensions dims. Here g must have one more dimension than z.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj!-Union{Tuple{N}, Tuple{Tg}, Tuple{Tz}, Tuple{AbstractArray{Tz, N}, AbstractArray{Tg, N}, Int64}} where {Tz, Tg, N}","page":"Methods","title":"MIRT.diffl_adj!","text":"diffl_adj!(z, g, dim::Int ; ...)\n\nAdjoint of left finite difference diffl!, in-place. Arrays z and g must be same size. See diffl_adj for details.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj-Tuple{AbstractArray, Int64}","page":"Methods","title":"MIRT.diffl_adj","text":"z = diffl_adj(g::AbstractArray, dim::Int ; ...)\n\nAllocating version of diffl_adj! along dim.\n\nExample\n\njulia> g = ones(Int,2,3); z = diffl_adj(g, 2)\n2×3 Matrix{Int64}:\n -1 0 1\n -1 0 1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj-Tuple{AbstractArray}","page":"Methods","title":"MIRT.diffl_adj","text":"z = diffl_adj(g::AbstractArray ; ...)\n\nAllocating version of diffl_adj! along dim=1.\n\nExample\n\njulia> g = [0, 2, 5]; z = diffl_adj(g)\n3-element Vector{Int64}:\n -2\n -3\n 5\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj-Union{Tuple{N}, Tuple{T}, Tuple{AbstractArray{T, N}, AbstractVector{Int64}}} where {T, N}","page":"Methods","title":"MIRT.diffl_adj","text":"z = diffl_adj(g::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nAllocating version of diffl_adj! for dims.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_map-Union{Tuple{D}, Tuple{Tuple{Vararg{Int64, D}}, AbstractVector{Int64}}} where D","page":"Methods","title":"MIRT.diffl_map","text":"T = diffl_map(N::Dims{D}, dims::AbstractVector{Int} ; kwargs...)\nT = diffl_map(N::Dims{D}, dim::Int ; kwargs...)\n\nin\n\nN::Dims image size\n\noptions: see diffl!\n\nT::Type for LinearMapAA, default Float32\noperator::Bool = true use false for LinearMapAM\n\nout\n\nT LinearMapAA object for computing finite differences via T*x\n\nusing diffl! and diffl_adj!\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.downsample1-Tuple{AbstractVector{<:Number}, Int64}","page":"Methods","title":"MIRT.downsample1","text":"y = downsample1(x, down ; warn=true)\n\nDownsample 1D vector by factor down.\n\nin\n\nx [n1]\ndown::Int downsampling factor\n\noption\n\nwarn::Bool warn if noninteger multiple; default isinteractive()\n\nout\n\ny [n1/down]\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.downsample2-Tuple{AbstractMatrix{<:Number}, Tuple{Int64, Int64}}","page":"Methods","title":"MIRT.downsample2","text":"y = downsample2(x, down ; warn=true, T)\n\nDownsample by averaging by integer factors.\n\nin\n\nx [nx ny]\ndown can be a scalar (same factor for both dimensions) or a NTuple{2,Int}\n\noption\n\nwarn::Bool warn if noninteger multiple; default isinteractive()\nT::Type specify output eltype; default eltype(x[1] / down[1])\n\nout\n\ny [nx/down ny/down]\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.downsample3-Tuple{AbstractArray{<:Number, 3}, Tuple{Int64, Int64, Int64}}","page":"Methods","title":"MIRT.downsample3","text":"y = downsample3(x, down ; warn=true, T)\n\nDownsample by averaging by integer factors.\n\nin\n\nx (nx,ny,nz)\ndown can be a scalar (same factor for all dimensions) or a NTuple{3,Int}\n\noption\n\nwarn::Bool warn if noninteger multiple; default true\nT::Type specify output eltype; default eltype(x[1] / down[1])\n\nout\n\ny (nx/down,ny/down,nz/down)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.downsample_dim1-Tuple{AbstractArray{<:Number}, Int64}","page":"Methods","title":"MIRT.downsample_dim1","text":"y = downsample_dim1(x, down ; warn::Bool)\n\nDown-sample x by factor down along first dimension by averaging.\n\nin\n\nx [n1 (Nd)]\ndown::Int downsampling factor\n\noption\n\nwarn::Bool warn if non-integer multiple; default isinteractive()\n\nout\n\ny [n1÷down (Nd)]\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft-Tuple{AbstractMatrix{<:Real}, AbstractMatrix{<:Number}}","page":"Methods","title":"MIRT.dtft","text":"X = dtft(w, x ; n_shift=?)\n\nmulti-dimensional DTFT (DSFT)\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M where here n is a CartesianIndex\n\nin\n\nw::AbstractMatrix{<:Real} (M,D) frequency locations (\"units\" radians/sample)\nx::AbstractArray{<:Number} [(Nd)] D-dimensional signal\n\noption\n\nn_shift::AbstractVector{<:Real} often is N/2; default zeros(D)\n\nout\n\nX::AbstractVector{ComplexF64} (M) DTFT\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft-Tuple{AbstractVector{<:Real}, AbstractVector{<:Number}}","page":"Methods","title":"MIRT.dtft","text":"X = dtft(w, x ; n_shift=?)\n\n1D DTFT\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M\n\nin\n\nw::AbstractVector{<:Real} (M) frequency locations (\"units\" radians/sample)\nx::AbstractVector{<:Number} (N) 1D signal\n\noption\n\nn_shift::Real often is N/2; default 0\n\nout\n\nX::AbstractVector{ComplexF64} [M] DTFT\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft_adj-Tuple{AbstractMatrix{<:Real}, AbstractVector{<:Number}, Tuple{Vararg{Int64, N}} where N}","page":"Methods","title":"MIRT.dtft_adj","text":"x = dtft_adj(w, X, N ; n_shift=?)\n\nadjoint for multi-dimensional DTFT (DSFT)\n\nxn = sum_m=1^M Xm exp(i wm (n - n_shift)) n=0N-1 where here n is a CartesianIndex\n\nin\n\nX::AbstractVector{ComplexF64} (M) DTFT\nw::AbstractMatrix{<:Real} (M,D) frequency locations (\"units\" radians/sample)\nN::Dims (D) dimensions of signal x\n\noption\n\nn_shift::AbstractVector{<:Real} often is N/2; default zeros(D)\nT::Type default (eltype(w) == Float64) ? ComplexF64 : ComplexF32\n\nout\n\nx::AbstractArray{<:Number} [(N)] D-dimensional signal\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft_adj-Tuple{AbstractVector{<:Real}, AbstractVector{<:Number}, Int64}","page":"Methods","title":"MIRT.dtft_adj","text":"x = dtft_adj(w, X, N ; n_shift=?)\n\nadjoint for 1D DTFT\n\nxn = sum_m=1^M Xm exp(i wm (n - n_shift)) n=0N-1\n\nThis is the adjoint (transpose) of dtft, not an inverse DTFT.\n\nin\n\nw::AbstractVector{<:Real} (M) frequency locations (\"units\" radians/sample)\nX::AbstractVector{ComplexF64} (M) spectrum values\nN::Int size of signal x\n\noption\n\nn_shift::Real often is N/2; default 0\nT::Type output data type; default ComplexF64\n\nout\n\nx::AbstractVector{<:Number} (N) signal\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft_init-Tuple{AbstractMatrix{<:Real}, Tuple{Vararg{Int64, N}} where N}","page":"Methods","title":"MIRT.dtft_init","text":"d = dtft_init(w, N ; n_shift=?)\n\nfor multi-dimensional DTFT (DSFT)\n\nin\n\nw::AbstractMatrix{<:Real} (M,D) frequency locations (\"units\" radians/sample)\nN::Dims [D] dimensions of signal x\n\noption\n\nn_shift::AbstractVector{<:Real} often is N/2; default zeros(D)\nT::Type default ComplexF64 for testing NUFFT accuracy\n\nout\n\nd::NamedTuple with fields dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft_init-Tuple{AbstractVector{<:Real}, Int64}","page":"Methods","title":"MIRT.dtft_init","text":"d = dtft_init(w, N ; n_shift=?)\n\nFor 1D DTFT\n\nin\n\nw::AbstractVector{<:Real} (M) frequency locations (\"units\" radians/sample)\nN::Int size of signal x\n\noption\n\nn_shift::Real often is N/2; default 0\nT::Type default ComplexF64 for testing NUFFT accuracy\n\nout\n\nd::NamedTuple with fields dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.embed!-Union{Tuple{D}, Tuple{T}, Tuple{AbstractArray{T, D}, AbstractVector{<:Number}, AbstractArray{Bool, D}}} where {T, D}","page":"Methods","title":"MIRT.embed!","text":"embed!(array, v, mask ; filler=0)\n\nembed vector v of length sum(mask) into elements of array where mask is true, setting the remaining elements to filler (default 0).\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.embed-Tuple{AbstractMatrix{<:Number}, AbstractArray{Bool}}","page":"Methods","title":"MIRT.embed","text":"array = embed(matrix::AbstractMatrix{<:Number}, mask::AbstractArray{Bool})\n\nEmbed each column of matrix into mask then cat along next dimension In:\n\nmatrix [sum(mask) L]\nmask [(N)]\n\nOut:\n\narray [(N) L]\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.embed-Union{Tuple{T}, Tuple{AbstractVector{T}, AbstractArray{Bool}}} where T<:Number","page":"Methods","title":"MIRT.embed","text":"array = embed(v, mask ; filler=0)\n\nembed vector v of length sum(mask) into elements of an array where mask is true; see embed!.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.eql_root-Tuple{Real, Real, Real}","page":"Methods","title":"MIRT.eql_root","text":"x = eql_root(a,b,c)\n\nNumerically stable method for computing the positive root of the quadratic polynomial -ax^2 - 2bx + c, a >= 0. Assumes solvable equations; will throw otherwise.\n\nin\n\na The negative of the x^2 term. Must be positive.\nb Half the negative of the x term.\nc The constant term.\n\nout\n\nx The positive root that satisfies 0 = -ax^2 - 2bx + c.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.exp_mult-Tuple{Any, AbstractVector{<:Number}, AbstractVector{<:Number}}","page":"Methods","title":"MIRT.exp_mult","text":"D = exp_mult(A, u, v ; warnboth)\n\nMemory efficient and fast implementation of D = A' * exp(-u * v^T) that is useful for B0-field-corrected MRI image reconstruction.\n\nin\n\nA [N L] matrix\nu [N] vector\nv [M] vector\nwarnboth warn if both u and v are complex; default: true\n\nout\n\nD [L M] complex vector: D = A' * exp(-u * v^T)\n\nD_lm = sum_n A_nl^* exp(-u_n v_m)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.exp_xform-Tuple{AbstractMatrix{<:Number}, AbstractMatrix{<:Number}, AbstractMatrix{<:Number}}","page":"Methods","title":"MIRT.exp_xform","text":"exp_xform(x, u, v ; mode::Symbol = :matrix)\n\nin\n\nx [N L] possibly complex vector(s)\nu [D N] possibly complex vectors\nv [D M] possibly complex vectors\nmode::Symbol :matrix (default) | :element | :row | :column\n\nout\n\ny [M L] typically complex vector\n\ny[m,l] = sum_n x[n,l] exp(-sum(u[:,n] .* v[:,m]))\n\nIterates through subsets of the ML matrix designated by :mode (i.e. row, column, element, or just computing the entire matrix) This is the 'slow' 'exact' transform model for MRI.\n\nOutput type will depend on input types.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.genkspace-NTuple{8, Any}","page":"Methods","title":"MIRT.genkspace","text":"genkspace\n\nGenerate the proper length of k-space trajectory.\n\nIt linearly interpolates the output of genspiral to the correct length() & takes care of the rotations for the interleaves.\n\nld is the length of the data\nnint is the number of interleaves\n\nBrad Sutton; University of Michigan\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.genspi-Tuple{Any, Any}","page":"Methods","title":"MIRT.genspi","text":"Gx, Gy, kx, ky, sx, sy, gts = genspi(...)\n\nThis is translation of C code from scanner: exactly what is played out to gradients at 4us.\n\nMulti-shot spiral design uses Duyn's approximate slewrate limited design augmented with archimedean gmax limit\n\nin [args]\n\nD = FOV; cm\nN = matrix size()\nTmax = longest acquisition allowed; s\ndts = output sample spacing; s\ngtype = trajectory type()\n\noption [CVs]\n\nnl = number of interleaves\ngamp = design grad max; G/cm\ngslew = design slew rate; mT/m/ms\nnramp = number of rampdown points; default 0\n\nout\n\nGx; Gy\n\ntime is in sec()\n\nrev 0 12/26/98 original\nrev 1 4/15/99 little better calc of ts\n\nBorrowed from Doug Noll; Univ. of Michigan. Modified to take more input cv's.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.getindex!-Union{Tuple{D}, Tuple{T}, Tuple{AbstractVector, AbstractArray{T, D}, AbstractArray{Bool, D}}} where {T, D}","page":"Methods","title":"MIRT.getindex!","text":"getindex!(y::AbstractVector, x::AbstractArray{T,D}, mask::AbstractArray{Bool,D})\n\nEquivalent to the in-place y .= x[mask] but is non-allocating.\n\nFor non-Boolean indexing, just use @views y .= A[index], per https://discourse.julialang.org/t/efficient-non-allocating-in-place-getindex-for-bitarray/42268\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.interp1-Tuple{AbstractVector{<:Real}, AbstractVector{<:Number}, Any}","page":"Methods","title":"MIRT.interp1","text":"yi = interp1(x, y, xi ; how=Gridded(Linear()), extrap=0)\n\n1D interpolation of y = f(x) at points xi\n\nIn:\n\nx::AbstractVector{<:Real}\ny::AbstractVector{<:Number}\n\nOption:\n\nhow::Interpolations.InterpolationType default Gridded(Linear())\nextrap::Any how to extrapolate, e.g., Flat(); default 0\n\nother options from Interpolations.jl are Line() Periodic() Reflect() Throw()\n\nOutput is same size as input xi\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_dump-Tuple{Any}","page":"Methods","title":"MIRT.ir_dump","text":"ir_dump(x::Any ; io::IO = stdout)\nir_dump(io::IO, x::Any)\n\nShow all the fields of a structure or NamedTuple more nicely than dump() does\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_load_brainweb_t1_256-Tuple{}","page":"Methods","title":"MIRT.ir_load_brainweb_t1_256","text":"data = ir_load_brainweb_t1_256()\n\nLoad brainweb T1-weighted MRI slice of size 256 × 256.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_coil_compress-Tuple{AbstractArray{<:Number}}","page":"Methods","title":"MIRT.ir_mri_coil_compress","text":"(odata, σ, Vr) = ir_mri_coil_compress(idata ; ncoil)\n\nMRI coil compression via PCA. Given multiple MRI surface coil images (idata), use SVD/PCA to find a smaller number of virtual coil images (odata).\n\nIn:\n\nidata [(N) n_in]: noisy complex images (2D or 3D) for each coil\n\nOption:\n\nncoil Desired # of virtual coils (default: 1)\n\nOut:\n\nodata [(N) ncoil]: virtual coil images\nσ [n_in]: singular values.\nVr [n_in, ncoil]: compression matrix for reducing other data.\n\ntodo: currently ignores noise correlations\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_kspace_ga_radial-Tuple{}","page":"Methods","title":"MIRT.ir_mri_kspace_ga_radial","text":"kspace = ir_mri_kspace_ga_radial(; Nro=?, Nspoke=?, ...)\n\nGenerate k-space sampling pattern for \"golden angle\" radial sampling.\n\noption\n\nNro:Int number of samples in each readout/spoke, default 256\nNspoke::Int number of spokes, default 1\nstart::Real first angle in series [radians], default π/2\nangle::Real angular spacing [radians], default GA\ndelta_ro::Real readout spacing, default 1/Nro\nshift::Real shift due to gradient delays, default 0\nradial sample locations are ir * delta_ro\nwhere ir = [-(Nro/2 - 1):1:Nro/2] + shift\n\nout\n\nkspace [Nro Nspoke 2] (Float32)\n\nkx and ky k-space locations for Nspoke*Nro samples in interval (-0.5 0.5] for default shift, delta_ro so default units are \"cycles / sample\"\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_sensemap_sim-Tuple{Symbol}","page":"Methods","title":"MIRT.ir_mri_sensemap_sim","text":"(smap,info) = ir_mri_sensemap_sim( :all ; kwargs)\n\nLike ir_mri_sensemap_sim but also returns info with data for all coils, mainly for testing and plotting.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_sensemap_sim-Tuple{Vector{Tuple{Int64, Int64}}}","page":"Methods","title":"MIRT.ir_mri_sensemap_sim","text":"(smap,info) = ir_mri_sensemap_sim( ir_ic_pair ; kwargs)\n\nLike ir_mri_sensemap_sim but also returns info with data for specific coils where ir_ic_pair::Vector{Tuple{Int,Int}}. (Usually used internally only.)\n\ninfo::NamedTuple geometry information for plots\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_sensemap_sim-Tuple{}","page":"Methods","title":"MIRT.ir_mri_sensemap_sim","text":"smap = ir_mri_sensemap_sim(...)\n\nSimulate 2D or 3D sensitivity maps for sensitivity-encoded MRI based on grivich:00:tmf.\n\nThis code makes maps for multiple coils, but does not model coupling between coils, so most likely it is an approximation at best.\n\noption\n\ndims::Dims image size; default (64, 64)\ndx::Real pixel/voxel dimension; default: 3\ndy::Real pixel/voxel dimension; default: dx\ndz::Real \"\"\nncoil::Int # of coils total; default 4\nnring::Int # of rings of coils; default 1\nrcoil::Real coil radius; default dx * nx / 2 * 0.50\ndz_coil ring spacing in z; default nz*dz/nring\n(3D geometry is a cylinder)\ncoil_distance::Real distance of coil center from isocenter\nfor central ring of coils as a multiple of FOVx,\nwhere FOVx=nx*dx; default 1.2\norbit::Real default 360 [degrees]\norbit_start::AbstractVector{<:Real} = fill(0, nring) [degrees]\nscale::Symbol\n:none (default)\nssos_center make SSoS of center = 1\n\nout\n\nsmap [dims ncoil] simulated sensitivity maps (complex!)\n\nAll length parameters must have same units (e.g., mm or cm)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_sensemap_sim_do-NTuple{14, Any}","page":"Methods","title":"MIRT.ir_mri_sensemap_sim_do","text":"(smap, info) = ir_mri_sensemap_sim_do()\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_smap1-NTuple{4, Any}","page":"Methods","title":"MIRT.ir_mri_smap1","text":"ir_mri_smap1()\n\nBased on grivich:00:tmf for a circular coil in \"x-y plane\" of radius \"a\"\n\nNote that coil x-y plane is not same as object x-y plane!\n\nReturns (i,j,k) components of B vector for each (x,y,z) location.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_smap_r-Tuple{Any, Any}","page":"Methods","title":"MIRT.ir_mri_smap_r","text":"ir_mri_smap_r(r, z)\n\nFunction for testing near 0.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.jinc-Tuple{Real}","page":"Methods","title":"MIRT.jinc","text":"jinc(x)\n\nReturn jinc(x) = J1(pi*x)/(2x), where J1 is a Bessel function of the first kind.\n\nUnits of x are typically cycles/m.\n\nReturn type is promote_type(typeof(x), Float32).\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.line_search_mm-Tuple","page":"Methods","title":"MIRT.line_search_mm","text":"α = line_search_mm(args...; opt, fun, kwargs...)\n\nLine-search based on majorize-minimize (MM) approach. This is a wrapper around the iterator LineSearchMM. See its constructors for args and other kwargs.\n\noption\n\nfun(state) User-defined function to be evaluated with the state initially and then after each iteration.\nout::Union{Nothing,Vector{Any}} = nothing optional place to store result of fun for iterates 0,…,ninner: (All missing by default.) This is aVector{Any}of lengthninner+1`.\n\noutput\n\nα final iterate\n\nThis function mutates the optional arguments out and work.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.make_dot_curvf-Union{Tuple{Tw}, Tuple{Tx}, Tuple{Function, AbstractArray{Tx}}, Tuple{Function, AbstractArray{Tx}, Type{<:Number}}} where {Tx<:Number, Tw<:Number}","page":"Methods","title":"MIRT.make_dot_curvf","text":"make_dot_curvf(curv::Function, [x, Tf::Type; w = similar(x)])\n\nMake a function with arguments (v, x) that computes the dot product between abs2.(v) and curv(x) where curv(x) is a curvature function associated with a quadratic majorizer for some real-valued cost function f(x), evaluated at array x, typically for use in a line-search method.\n\nFor a single-argument gradient function curv(x), this returns the version equivalent to (v, x) -> dot(abs2.(v), curv(x)). This version will be allocating, unless curv has its own internal workspace due to a closure. This version expects only the argument curv.\nFor a two-argument mutating gradient function curv!(w, x), this returns a function equivalent to (v, x) -> dot(abs2.(v), curv!(w, x)) using the keyword argument w as the work array.\nIf curv is simply a real number (a Lipschitz constant), possibly with units, then this returns the function (v, x) -> curv * sum(abs2, v).\n\nIf f(x) maps an Array x of elements with units Ux into real numbers with units Uf, then its curvature has units Uf/Ux^2. Those units are relevant to defining the work array w.\n\nin\n\ncurv::Function see above\nx an array whose size and eltype is used to allocate w\n\noption\n\nTf::Type = typeof(one(eltype(x))) Specify eltype of function f(x), defaulting to unitless.\nw = similar(x, typeof(oneunit(Tf) / oneunit(eltype(x))^2)) work space for gradient calculation, with appropriate units (if needed).\n\nout\n\n(v, x) -> dot(abs2.(v), curv([w,] x)) or equivalent.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.make_dot_gradf-Union{Tuple{Tw}, Tuple{Tx}, Tuple{Function, AbstractArray{Tx}}, Tuple{Function, AbstractArray{Tx}, Type{<:Number}}} where {Tx<:Number, Tw<:Number}","page":"Methods","title":"MIRT.make_dot_gradf","text":"make_dot_gradf(grad::Function, [x, Tf::Type; w = similar(x)])\n\nMake a function with arguments (v, x) that computes the dot product between an array v and the gradient grad(x) of some real-valued cost function f(x), evaluated at array x, typically for use in a line-search method.\n\nFor a single-argument gradient function grad(x), this returns the version (v, x) -> dot(v, grad(x)). This version will be allocating, unless grad has its own internal workspace due to a closure. This version expects only the argument grad.\nFor a two-argument mutating gradient function grad!(w, x), this returns a function (v, x) -> dot(v, grad!(w, x)) using the keyword argument w as the work array.\n\nIf f(x) maps an Array x of elements with units Ux into real numbers with units Uf, then the gradient ∇f has units Uf/Ux. Those units are relevant to defining the work array w.\n\nin\n\ngrad::Function see above\nx an array whose size and eltype is used to allocate w\nTf::Type = typeof(one(eltype(x))) Specify eltype of function f(x), defaulting to unitless.\n\noption\n\nw = similar(x, typeof(oneunit(Tf) / oneunit(eltype(x)))) work space for gradient calculation, with appropriate units (if needed).\n\nout\n\n(v, x) -> dot(v, grad([w,] x)) or equivalent.\n\nExample. Consider the cost function f(x) = sum(sin.(x)) that has gradient g(x) = cos.(x). The simple way here is make_dot_gradf(g), which will return the function (v, x) = dot(v, g(x)) === dot(v, cos.(x)). That will work fine, but the cos.(x) step will be allocating. A better way (for repeated use) is\n\nfunction g!(work, x)\n @. work = cos(x) # mutating\n return work\nend\n\nThen make_dot_gradf(g!, x) will return a function (v,x) that does not allocate (except when first generated via a closure). For this particular example, an even better approach is to directly define dot_gradf(v,x) = sum(vx -> vx[1]*cos(vx[2]), zip(v,x)), but make_dot_gradf is here for more general cases.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.map_many-Tuple{Function, AbstractArray, Tuple{Vararg{Int64, N}} where N}","page":"Methods","title":"MIRT.map_many","text":"y = map_many(fun::Function, x::AbstractArray{<:Any}, idim::Dims)\n\nApply a function fun to leading slices of input x; cousin of mapslices\n\nin\n\nfun::Function maps input of size idim to output of some size odim\nx [idim ldim]\n\nout\n\ny [odim ldim]\n\nExample: if fun maps array of size (1,2) to array of size (3,4,5) and if input x has size (1,2,7,8) then output y will have size (3,4,5,7,8) where y[:,:,:,i,j] = fun(x[:,:,i,j])\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mask_or-Tuple{AbstractMatrix{Bool}}","page":"Methods","title":"MIRT.mask_or","text":"mask_or(mask)\n\ncompress 3D mask to 2D by logical or along z direction\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mask_outline-Tuple{AbstractMatrix{Bool}}","page":"Methods","title":"MIRT.mask_outline","text":"mask_outline(mask)\n\nreturn outer boundary of 2D mask (or mask_or for 3D)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.maskit-Tuple{AbstractArray{<:Number}, AbstractArray{Bool}}","page":"Methods","title":"MIRT.maskit","text":"maskit(x::AbstractArray{<:Number})\n\nopposite of embed\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.max_percent_diff-Tuple{Any, Any}","page":"Methods","title":"MIRT.max_percent_diff","text":"max_percent_diff(s1, s2, [options])\n\nCompute the \"maximum percent difference\" between two signals: s1, s2.\n\nDefault is to normalize by maximum(abs, s1).\n\noptions\n\nmaxboth::Bool = false use max of both arguments to normalize\nnormalize::Bool = false normalize each before comparing\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_kspace_spiral-Tuple{}","page":"Methods","title":"MIRT.mri_kspace_spiral","text":"kspace, omega, gradxy = mri_kspace_spiral( [options] )\n\nMake k-space spiral trajectory based on GE 3T scanner constraints\n\nOption:\n\nN dimension of reconstructed image\nNt # of time points\nfov field of view in cm\ndt time sampling interval out; default 5e-6 sec\ngamp::Real design gradient amplitude max, G/cm; default 2.2\ngslew::Int design slew rate, mT/m/ms; default 180\n\nOut:\n\nkspace [Nt,2] kspace trajectory [kx ky] in cycles/cm, NO: cycles/FOV\nomega [Nt,2] \"\" in radians\ngradxy [Nt 2] gradient waveforms in (units?)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_trajectory-Union{Tuple{}, Tuple{D}} where D","page":"Methods","title":"MIRT.mri_trajectory","text":"kspace, omega, wi = mri_trajectory( ; ktype, N, fov, arg_wi, kwargs...)\n\nGenerate kspace trajectory samples and density compensation functions.\n\noption\n\nktype::Symbol k-space trajectory type; default :radial\nN::Dims target image size; default (32,30)\nfov field of view in x and y (and z); default (250,250) mm\narg_wi options to pass to ir_mri_density_comp - not yet done\nkwargs options for the specific trajectory\n\nout\n\nkspace [Nk 2|3] kspace samples in units 1/fov\nomega [Nk 2|3] trajectory samples over [-π,π)\nwi [Nk 1] (optional) density compensation factors\n\ntrajectory types:\n\n:cartesian\n:radial\n:cart_y_2\n:random\n:half8\n:epi_sin\n:spiral0 :spiral1 :spiral3\n:rosette3\n:epi_under\n:gads (emulate golden-angle data sharing per winkelmann:07:aor)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_trajectory_gads-Union{Tuple{Nring}, Tuple{Tuple{Vararg{Int64, N}} where N, Any}} where Nring","page":"Methods","title":"MIRT.mri_trajectory_gads","text":"omega, wi = mri_trajectory_gads(N, fov ; ...)\n\nEmulate 2D golden angle radial sampling with data sharing\n\noption\n\nNro # of samples in each readout/spoke\nshift shift along read-out due to gradient delays (stress)\nkmax_frac fractions of maximum krad (0.5) for rings (annuli)\nunder under-sampling factor for each annulus\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_trajectory_radial-Tuple{Tuple{Vararg{Int64, N}} where N, Any}","page":"Methods","title":"MIRT.mri_trajectory_radial","text":"mri_trajectory_radial()\n\noption\n\nna_nr default ensures proper sampling at edge of k-space\nna angular spokes; default: na_nr * nr\nnr radial samples per spoke\nir default: 0:nr\n\ntodo: generalize to 3D using barger:02:trc\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_trajectory_rosette3-Tuple{Any, Any}","page":"Methods","title":"MIRT.mri_trajectory_rosette3","text":"mri_trajectory_rosette3(N, fov ; ...)\n\n3d rosette, with default parameters from bucholz:08:miw\n\noption\n\nomax maximum omega\nnt time samples (65.536 ms for 4 usec dt)\ndt time sample spacing (4 usec)\nti time samples\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ncg-Tuple{AbstractVector, AbstractVector{<:Function}, AbstractVector{<:Function}, AbstractArray{<:Number}}","page":"Methods","title":"MIRT.ncg","text":"(x,out) = ncg(B, gradf, curvf, x0 ; ...)\n\nNonlinear preconditioned conjugate gradient algorithm to minimize a general \"inverse problem\" cost function of the form Psi(x) = sum_j=1^J f_j(B_j x) where each function f_j(v) has a quadratic majorizer of the form\n\nq_j(vu) = f_j(u) + nabla f_j(u) (v - u) + 12 v - u^2_C_j(u)\n\nwhere C_j(u) is diagonal matrix of curvatures. (It suffices for each f_j to have a Lipschitz smooth gradient.)\n\nThis CG method uses a majorize-minimize (MM) line search.\n\nin\n\nB vector of J blocks B_1B_J\ngradf vector of J functions return gradients of f_1f_J\ncurvf vector of J functions z -> curv(z) that return a scalar or a vector of curvature values for each element of z\nx0 initial guess; need length(x) == size(B[j],2) for j=1J\n\nUsually x0 is a Vector but it can be an Array if each B_j is a linear operator (e.g., LinearMapAO) of suitable \"dimensions\".\n\noption\n\nniter # number of outer iterations; default 50\nninner # number of inner iterations of MM line search; default 5\nP # preconditioner; default I\nbetahow \"beta\" method for the search direction; default :dai_yuan\nfun User-defined function to be evaluated with two arguments (x,iter).\nIt is evaluated at (x0,0) and then after each iteration.\n\noutput\n\nx final iterate\nout [niter+1] (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))\n(all 0 by default). This is an array of length niter+1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ncg-Tuple{Function, Function, AbstractArray{<:Number}}","page":"Methods","title":"MIRT.ncg","text":"(x,out) = ncg(grad, curv, x0, ...)\n\nSpecial case of ncg (nonlinear CG) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_eltype-Tuple{Type{<:Integer}}","page":"Methods","title":"MIRT.nufft_eltype","text":"nufft_eltype(::Type)\n\nensure plan_nfft eltype is Float32 or Float64\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_errors-Tuple{}","page":"Methods","title":"MIRT.nufft_errors","text":"w, errs = nufft_errors( ; M=401, w=?, N=513, n_shift=0, ...)\n\nCompute NUFFT approximation errors (for signal of length N of unit norm), for given digital frequency values w, i.e., Ω. Default w is range(0, 2π/N, M).\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_init-Tuple{AbstractArray{<:Real}, Int64}","page":"Methods","title":"MIRT.nufft_init","text":"p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=0)\n\nSetup 1D NUFFT, for computing fast O(N log N) approximation to\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M\n\nin\n\nw::AbstractArray{<:Real} [M] frequency locations (aka Ω, units radians/sample)\neltype(w) determines the plan_nfft type; so to save memory use Float32!\nsize(w) determines odim for A if operator=true\nN::Int signal length\n\noption\n\nnfft_m::Int see NFFT.jl documentation; default 4\nnfft_sigma::Real \"\", default 2.0\nn_shift::Real often is N/2; default 0\npi_error::Bool throw error if w π, default true\nSet to false only if you are very sure of what you are doing!\ndo_many::Bool support extended inputs via map_many? default true\noperator::Bool=true set to false to make A an LinearMapAM\n\nout\n\np NamedTuple\n\n(nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A::LinearMapAO)\n\nThe default settings are such that for a 1D signal of length N=512, the worst-case error is below 1e-5 which is probably adequate for typical medical imaging applications. To verify this statement, run nufft_plot1() and see plot.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_init-Union{Tuple{D}, Tuple{AbstractArray{<:Real}, Tuple{Vararg{Int64, D}}}} where D","page":"Methods","title":"MIRT.nufft_init","text":"p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=?)\n\nSetup multi-dimensional NUFFT, for computing fast O(N log N) approximation to\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M\n\nin\n\nw::AbstractArray{<:Real} [M,D] frequency locations (aka Ω, units radians/sample)\neltype(w) determines the plan_nfft type; so to save memory use Float32!\nsize(w)[1:(end-1)] determines odim if operator=true\nN::Dims{D} signal dimensions\n\noption\n\nnfft_m::Int see NFFT.jl documentation; default 4\nnfft_sigma::Real \"\", default 2.0\nn_shift::AbstractVector{<:Real} (D) often is N/2; default zeros(D)\npi_error::Bool throw error if w π, default true\nSet to false only if you are very sure of what you are doing!\ndo_many::Bool support extended inputs via map_many? default true\noperator::Bool=true set to false to make A a LinearMapAM\n\nThe default do_many option is designed for parallel MRI where the k-space sampling pattern applies to every coil. It may also be useful for dynamic MRI with repeated sampling patterns. The coil and/or time dimensions must come after the spatial dimensions.\n\nout\n\np NamedTuple with fields nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A=LinearMapAO (Using operator=true allows the LinearMapAO to support do_many.)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_typer-Union{Tuple{T}, Tuple{Type{T}, T}} where T","page":"Methods","title":"MIRT.nufft_typer","text":"nufft_typer(T::Type, x::AbstractArray{<:Real} ; warn::Bool=true)\n\ntype conversion wrapper for nfft()\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ogm_ls-Tuple{AbstractVector, AbstractVector{<:Function}, AbstractVector{<:Function}, AbstractArray{<:Number}}","page":"Methods","title":"MIRT.ogm_ls","text":"(x,out) = ogm_ls(B, gradf, curvf, x0; niter=?, ninner=?, fun=?)\n\nOGM with a line search Drori&Taylor to minimize a general \"inverse problem\" cost function of the form Psi(x) = sum_j=1^J f_j(B_j x) where each function f_j(v) has a quadratic majorizer of the form\n\nq_j(vu) = f_j(u) + nabla f_j(u) (v - u) + 12 v - u^2_C_j(u)\n\nwhere C_j(u) is diagonal matrix of curvatures. (It suffices for each f_j to have a Lipschitz smooth gradient.)\n\nThis OGM method uses a majorize-minimize (MM) line search.\n\nin\n\nB vector of J blocks B_1B_J\ngradf vector of J functions return gradients of f_1f_J\ncurvf vector of J functions z -> curv(z) that return a scalar or a vector of curvature values for each element of z\nx0 initial guess; need length(x) == size(B[j],2) for j=1J\n\noption\n\nniter # number of outer iterations; default 50\nninner # number of inner iterations of MM line search; default 5\nfun User-defined function to be evaluated with two arguments (x,iter).\nIt is evaluated at (x0,0) and then after each iteration.\n\noutput\n\nx final iterate\nout (niter+1) (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))\n(all 0 by default). This is a vector of length niter+1.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ogm_ls-Tuple{Function, Function, AbstractVector{<:Number}}","page":"Methods","title":"MIRT.ogm_ls","text":"(x,out) = ogm_ls(grad, curv, x0, ...)\n\nSpecial case of ogm_ls (OGM with line search) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.pogm_restart-Tuple{Any, Function, Function, Real}","page":"Methods","title":"MIRT.pogm_restart","text":"x, out = pogm_restart(x0, Fcost, f_grad, f_L ;\nf_mu=0, mom=:pogm, restart=:gr, restart_cutoff=0.,\nbsig=1, niter=10, g_prox=(z,c)->z, fun=...)\n\nIterative proximal algorithms (PGM=ISTA, FPGM=FISTA, POGM) with restart.\n\nin\n\nx0 initial guess\nFcost function for computing the cost function value F(x)\n(needed only if restart === :fr)\nf_grad function for computing the gradient of f(x)\nf_L Lipschitz constant of the gradient of f(x)\n\noption\n\nf_mu strong convexity parameter of f(x); default 0.\nif f_mu > 0, (alpha beta_k gamma_k) is chosen by Table 1 in [KF18]\ng_prox function g_prox(z,c) for the proximal operator for g(x)\ng_prox(z,c) computes argmin_x 12 z-x^2 + c g(x)\nmom momentum option\n:pogm POGM (fastest); default!\n:fpgm (FISTA), gamma_k = 0\n:pgm PGM (ISTA), beta_k = gamma_k = 0\nrestart restart option\n:gr gradient restart; default!\n:fr function restart\n:none no restart\nrestart_cutoff for :gr restart if cos(angle) < this; default 0.\nbsig gradient \"gamma\" decrease option (value within [0 1]); default 1\nsee barsigma in [KF18]\nniter number of iterations; default 10\nfun function(iter, xk, yk, is_restart) user-defined function evaluated each iter with secondary xk, primary yk, and boolean is_restart indicating whether this iteration was a restart\n\nout\n\nx final iterate\nfor PGM (ISTA): x_N = y_N\nfor FPGM (FISTA): primary iterate y_N\nfor POGM: secondary iterate x_N, see [KF18]\nout [fun(0, x0, x0, false), fun(1, x1, y1, is_restart), ...] array of length [niter+1]\n\nOptimization Problem: Nonsmooth Composite Convex Minimization\n\nargmin_x F(x) F(x) = f(x) + g(x))\nf(x) smooth convex function\ng(x) convex function, possibly nonsmooth and \"proximal-friendly\" [CP11]\n\nOptimization Algorithms:\n\nAccelerated First-order Algorithms when g(x) = 0 [KF18] iterate as below for given coefficients (alpha beta_k gamma_k)\n\nFor k = 0,1,...\ny_k+1 = x_k - alpha f(x_k) : gradient update\nx_k+1 = y_k+1 + beta_k (y_k+1 - y_k) + gamma_k (y_k+1 - x_k) : momentum update\n\nProximal versions of the above for g(x) neq 0 are in the below references, and use the proximal operator prox_g(z) = argmin_x 12z-x^2 + g(x).\n\nProximal Gradient method (PGM or ISTA) - beta_k = gamma_k = 0. [BT09]\nFast Proximal Gradient Method (FPGM or FISTA) - gamma_k = 0. [BT09]\nProximal Optimized Gradient Method (POGM) - [THG15]\nFPGM(FISTA) with Restart - [OC15]\nPOGM with Restart - [KF18]\n\nreferences\n\n[CP11] P. L. Combettes, J. C. Pesquet,\n\n\"Proximal splitting methods in signal processing,\" Fixed-Point Algorithms for Inverse Problems in Science and Engineering, Springer, Optimization and Its Applications, 2011.\n\n[KF18] D. Kim, J.A. Fessler,\n\n\"Adaptive restart of the optimized gradient method for convex optimization,\" 2018 Arxiv:1703.04641, [http://doi.org/10.1007/s10957-018-1287-4]\n\n[BT09] A. Beck, M. Teboulle:\n\n\"A fast iterative shrinkage-thresholding algorithm for linear inverse problems,\" SIAM J. Imaging Sci., 2009.\n\n[THG15] A.B. Taylor, J.M. Hendrickx, F. Glineur,\n\n\"Exact worst-case performance of first-order algorithms for composite convex optimization,\" Arxiv:1512.07516, 2015, SIAM J. Opt. 2017 [http://doi.org/10.1137/16m108104x]\n\nCopyright 2017-3-31, Donghwan Kim and Jeff Fessler, University of Michigan 2018-08-13 Julia 0.7.0 2019-02-24 interface redesign\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.poweriter-Tuple{Any}","page":"Methods","title":"MIRT.poweriter","text":"v1,σ1 = poweriter(A; niter=?, ...)\n\nDetermine first right singular vector v1 and first singular value σ1 of A by applying power iteration to A'A\n\nin\n\nA M × N matrix\n\noption\n\nniter default 200\nx0 initial guess of v1\ntol stopping tolerance for s1, default 1e-6\nchat::Bool verbose? default false\n\nout\n\nv1 [N] principal right singular vector\nσ1 spectral norm of A\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.rect-Tuple{Real}","page":"Methods","title":"MIRT.rect","text":"rect(x::Real)\n\nUnit width rect function. Potential problem? Bring up with fess.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.reverser-Tuple{AbstractArray, AbstractVector{<:Int64}}","page":"Methods","title":"MIRT.reverser","text":"y = reverser(x, dims)\n\nreverse array along specified dimensions (or all if unspecified)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.rmsd100-Tuple{AbstractArray{<:Number}, AbstractArray{<:Number}}","page":"Methods","title":"MIRT.rmsd100","text":"rmsd = rmsd100(x, y ; mask)\n\nCompute 100 * RMSD (root mean squared difference) between x and y within domain mask.\n\nin\n\nx : array\ny : another array of same size\n\noption\n\nmask::Array{Bool} : domain over which to compute the RMSE; default trues(size(x))\n\nout\n\nrmsd : rmsd of x vs y within mask in %\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.rotate2d-Tuple{Any, Any, Any}","page":"Methods","title":"MIRT.rotate2d","text":"(xr,yr) = rotate2d(x, y, theta)\n\n2D rotation\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.snr2sigma-Tuple{Any, AbstractArray{<:Complex}}","page":"Methods","title":"MIRT.snr2sigma","text":"snr2sigma(db, yb)\n\nConvert SNR in dB to noise σ for complex gaussian noise. No sqrt(2) factors is needed here because randn(Complex{Float}) already accounts for that. (See randn documentation.)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.@shows-Tuple{Any}","page":"Methods","title":"MIRT.@shows","text":"@shows expr\n\nShow the type and size of an expression expr (typically a variable).\n\nMore concise output than @show and typically this is all that is needed when debugging code.\n\n\n\n\n\n","category":"macro"},{"location":"#MIRT:-The-Michigan-Image-Reconstruction-Toolbox","page":"Home","title":"MIRT: The Michigan Image Reconstruction Toolbox","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"MIRT.jl is a collection of Julia functions for performing image reconstruction and solving related inverse problems.","category":"page"},{"location":"","page":"Home","title":"Home","text":"It is very much still under construction, although there are already enough tools to solve useful problems like compressed sensing MRI reconstruction. Trying the demos is a good way to get started.","category":"page"},{"location":"","page":"Home","title":"Home","text":"The documentation is even more still under construction.","category":"page"},{"location":"","page":"Home","title":"Home","text":"More complete examples are at JuliaImageRecon; see Examples there.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"EditURL = \"../../../lit/examples/3-ls-mm.jl\"","category":"page"},{"location":"generated/examples/3-ls-mm/#3-ls-mm","page":"Line search MM","title":"Line search MM","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Examples illustrating the line-search method based on majorize-minimize (MM) principles in the Julia package MIRT. This method is probably most useful for algorithm developers.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This page comes from a single Julia file: 3-ls-mm.jl.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"You can access the source code for such Julia documentation using the 'Edit on GitHub' link in the top right. You can view the corresponding notebook in nbviewer here: 3-ls-mm.ipynb, or open it in binder here: 3-ls-mm.ipynb.","category":"page"},{"location":"generated/examples/3-ls-mm/#Setup","page":"Line search MM","title":"Setup","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Packages needed here.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"using Plots; default(markerstrokecolor = :auto, label=\"\")\nusing MIRTjim: prompt\nusing MIRT: line_search_mm, LineSearchMMWork\nusing LineSearches: BackTracking, HagerZhang, MoreThuente\nusing LinearAlgebra: norm, dot\nusing Random: seed!; seed!(0)\nusing BenchmarkTools: @btime, @benchmark\nusing InteractiveUtils: versioninfo","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The following line is helpful when running this file as a script; this way it will prompt user to hit a key after each figure is displayed.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"isinteractive() && prompt(:prompt);\nnothing #hide","category":"page"},{"location":"generated/examples/3-ls-mm/#Theory","page":"Line search MM","title":"Theory","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Many methods for solving inverse problems involve optimization problems of the form","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"hatx = argmin_x mathbbF^N f(x)\nqquad\nf(x) = sum_j=1^J f_j(B_j x)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"where mathbbF denotes the field of real or complex numbers, matrix B_j has size M_j N, and f_j mathbbF^M_j mathbbR.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"One could apply general-purpose optimization methods here, like those in Optim.jl, but often we can obtain faster results by exploiting the specific (yet still fairly general) structure, particularly when the problem dimension N is large.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Many algorithms for solving such problems require an inner 1D optimization problem called a line search of the form","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"α_* = argmin_α mathbbR h(α)\nqquad\nh(α) = f(x + α d)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"for some search direction d. There are general purpose line search algorithms in LineSearches.jl, but here we focus on the specific form of f given above.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"For that form we see that we have the special structure","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"h(α) = sum_j=1^J f_j(u_j + α v_j)\nqquad\nu_j = B_j x\nquad\nv_j = B_j d","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Here we focus further on the case where each function f_j() has a quadratic majorizer of the form","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"f_j(x) q_j(xz) = f_j(z) + textreal( f_j(z) x - z )\n+ frac12 (x - z) D_j(z) (x - z)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"where D_j(z) is a positive semidefinite matrix that typically is diagonal. Often it is a constant times the identity matrix, e.g., a Lipschitz constant for f_j, but often there are sharper majorizers.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Such quadratic majorizers induce a quadratic majorizer for h(α) as well:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"h(α) q(α α_t) =\nsum_j=1^J q_j(u_j + α v_j u_j + α_t v_j)\n= h(α_t) + c_1(α_t) (α - α_t)\n+ frac12 c_2(α_t) (α - α_t)^2","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"where","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"c_1(α_t) = sum_j=1^J textreal( f_j(u_j + α_t v_j) v_j )\nqquad\nc_2(α_t) = sum_j=1^J v_j D_j(u_j + α_t v_j) v_j","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The line_search_mm function in this package uses this quadratic majorizer to update α using the iteration","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"α_t+1\n= argmin_α q(αα_t)\n= α_t - c_1(α_t) c_2(α_t)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Being an MM algorithm, it is guaranteed to decrease h(α) every update. For an early exposition of this approach, see Fessler & Booth, 1999.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"From the above derivation, the main ingredients needed are functions for computing the dot products f_j(u_j + α_t v_j) v_j and v_j D_j(u_j + α_t v_j) v_j.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The line_search_mm function can construct such functions given input gradient functions f_1f_J and curvature functions ω_1ω_J where D_j(z) = textDiag(ω_j(z)).","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Alternatively, the user can provide functions for computing the dot products.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"All of this is best illustrated by an example.","category":"page"},{"location":"generated/examples/3-ls-mm/#Smooth-LASSO-problem","page":"Line search MM","title":"Smooth LASSO problem","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The usual LASSO optimization problem uses the cost function","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"f(x) = frac12 A x - y _2^2 + β R(x)\nqquad\nR(x) = x _1 = sum_n=1^N x_n = 1 textabs(x)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The 1-norm is just a relaxation of the 0-norm so here we further \"relax\" it by considering the \"corner rounded\" version using the Fair potential function","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"R(x) = sum_n=1^N ψ(x_n) = 1 ψ(x)\nqquad\nψ(z) = δ^2 zδ - log(1 + zδ)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"for a small value of δ.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The derivative of this potential function is dotψ(z) = z (1 + z δ) and Huber's curvature ω_ψ(z) = 1 (1 + z δ) provides a suitable majorizer.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This smooth LASSO cost function has the general form above with J=2, B_1 = A, B_2 = I, f_1(u) = frac12 u - y _2^2 f_2(u) = β 1 ψ(u) for which f_1(u) = u - y f_2(u) = β ψ(u) and ^2 f_1(u) = I ^2 f_2(u) succeq β textdiag(ω_ψ(u))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Set up an example and plot h(α).","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Fair potential, its derivative and Huber weighting function:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"function fair_pot()\n fpot(z,δ) = δ^2 * (abs(z/δ) - log(1 + abs(z/δ)))\n dpot(z,δ) = z / (1 + abs(z/δ))\n wpot(z,δ) = 1 / (1 + abs(z/δ))\n return fpot, dpot, wpot\nend;\nnothing #hide","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Data, cost function and gradients for smooth LASSO problem:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"M, N = 1000, 2000\nA = randn(M,N)\nx0 = randn(N) .* (rand(N) .< 0.4) # sparse vector\ny = A * x0 + 0.001 * randn(M)\nβ = 95\nδ = 0.1\nfpot, dpot, wpot = Base.Fix2.(fair_pot(), δ)\n\nf(x) = 0.5 * norm(A * x - y)^2 + β * sum(fpot, x)\n∇f(x) = A' * (A * x - y) + β * dpot.(x)\nx = randn(N) # random point\nd = -∇f(x)/M # some search direction\nh(α) = f(x + α * d)\ndh(α) = d' * ∇f(x + α * d)\npa = plot(h, xlabel=\"α\", ylabel=\"h(α)\", xlims=(-1, 2))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Apply MM-based line search: simple version. The key inputs are the gradient and curvature functions:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"gradf = [\n u -> u - y, # ∇f₁ for data-fit term\n u -> β * dpot.(u), # ∇f₂ for regularizer\n]\ncurvf = [\n 1, # curvature for data-fit term\n u -> β * wpot.(u), # Huber curvature for regularizer\n]\n\nuu = [A * x, x] # [u₁ u₂]\nvv = [A * d, d] # [v₁ v₂]\nfun(state) = state.α # log this\nninner = 7\nout = Vector{Any}(undef, ninner+1)\nα0 = 0\nαstar = line_search_mm(gradf, curvf, uu, vv; ninner, out, fun, α0)\nhmin = h(αstar)\nscatter!([αstar], [hmin], marker=:star, color=:red)\nscatter!([α0], [h(α0)], marker=:circle, color=:green)\nps = plot(0:ninner, out, marker=:circle, xlabel=\"iteration\", ylabel=\"α\",\n color = :green)\npd = plot(0:ninner, abs.(dh.(out)), marker=:diamond,\n yaxis = :log, color=:red,\n xlabel=\"iteration\", ylabel=\"|dh(α)|\")\npu = plot(1:ninner, log10.(max.(abs.(diff(out)), 1e-16)), marker=:square,\n color=:blue, xlabel=\"iteration\", ylabel=\"log10(|α_k - α_{k-1}|)\")\nplot(pa, ps, pd, pu)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Thanks to Huber's curvatures, the α_t sequence converges very quickly.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Now explore a fancier version that needs less heap memory.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"work = LineSearchMMWork(uu, vv, α0) # pre-allocate\nfunction lsmm1(gradf, curvf)\n return line_search_mm(gradf, curvf, uu, vv;\n ninner, out, fun, α0, work)\nend\nfunction lsmm2(dot_gradf, dot_curvf)\n gradn = [() -> nothing, () -> nothing]\n return line_search_mm(uu, vv, dot_gradf, dot_curvf;\n ninner, out, fun, α0, work)\nend;\nnothing #hide","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The let statements below are a performance trick from the Julia manual. Using Iterators.map avoids allocating arrays like z - y and does not even require any work space.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"gradz = [\n let y=y; z -> Iterators.map(-, z, y); end, # z - y\n let β=β, dpot=dpot; z -> Iterators.map(z -> β * dpot(z), z); end, # β * dψ.(z)\n]\ncurvz = [\n 1,\n let β=β, wpot=wpot; z -> Iterators.map(z -> β * wpot(z), z); end, # β * ωψ.(z)\n]\n\nfunction make_grad1c()\n w = similar(uu[1]) # work-space\n let w=w, y=y\n function grad1c(z)\n @. w = z - y\n return w\n end\n end\nend\n\nfunction make_grad2c()\n w = similar(uu[2]) # work-space\n let w=w, β=β, dpot=dpot\n function grad2c(z)\n @. w = β * dpot(z)\n return w\n end\n end\nend\n\nfunction make_curv2c()\n w = similar(uu[2]) # work-space\n let w=w, β=β, wpot=wpot\n function curv2c(z)\n @. w = β * wpot(z) # β * ωψ.(z)\n return w\n end\n end\nend\n\ngradc = [ # capture version\n make_grad1c(), # z - y\n make_grad2c(), # β * dψ.(z)\n]\ncurvc = [\n 1,\n make_curv2c(), # β * ωψ.(z)\n]\n\nsum_map(f::Function, args...) = sum(Iterators.map(f, args...))\ndot_gradz = [\n let y=y; (v,z) -> sum_map((v,z,y) -> dot(v, z - y), v, z, y); end, # v'(z - y)\n let β=β, dpot=dpot; (v,z) -> β * sum_map((v,z) -> dot(v, dpot(z)), v, z); end, # β * (v'dψ.(z))\n]\ndot_curvz = [\n (v,z) -> norm(v)^2,\n let β=β, wpot=wpot; (v,z) -> β * sum_map((v,z) -> abs2(v) * wpot(z), v, z); end, # β * (abs2.(v)'ωψ.(z))\n]\n\n\na1 = lsmm1(gradf, curvf)\na1c = lsmm1(gradc, curvc)\na2 = lsmm1(gradz, curvz)\na3 = lsmm2(dot_gradz, dot_curvz)\n@assert a1 ≈ a2 ≈ a3 ≈ a1c\n\nb1 = @benchmark a1 = lsmm1($gradf, $curvf)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"bc = @benchmark a1c = lsmm1($gradc, $curvc)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"b2 = @benchmark a2 = lsmm1($gradz, $curvz)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"b3 = @benchmark a3 = lsmm2($dot_gradz, $dot_curvz)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Timing results on my Mac:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"95 μs\n65 μs # 1c after using make_\n80 μs\n69 μs (and lowest memory)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The versions using gradc and dot_gradz with their \"properly captured\" variables are the fastest. But all the versions here are pretty similar so even using the simplest version seems likely to be fine.","category":"page"},{"location":"generated/examples/3-ls-mm/#Compare-with-LineSearches.jl","page":"Line search MM","title":"Compare with LineSearches.jl","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Was all this specialized effort useful? Let's compare to the general line search methods in LineSearches.jl.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"It seems that some of those methods do not allow α₀ = 0 so we use 1.0 instead. We use the default arguments for all the solvers, which means some of them might terminate before ninner iterations, giving them a potential speed advantage.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"a0 = 1.0 # α0\nhdh(α) = h(α), dh(α)\nh0 = h(0)\ndh0 = dh(0);\nfunction ls_ls(linesearch)\n a1, fx = linesearch(h, dh, hdh, a0, h0, dh0)\n return a1\nend;\n\nsolvers = [\n BackTracking( ; iterations = ninner),\n HagerZhang( ; linesearchmax = ninner),\n MoreThuente( ; maxfev = ninner),\n]\nfor ls in solvers # check that they work properly\n als = ls_ls(ls)\n @assert isapprox(als, αstar; atol=1e-3)\nend;\nnothing #hide","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"bbt = @benchmark ls_ls($(solvers[1]))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"bhz = @benchmark ls_ls($(solvers[2]))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"bmt = @benchmark ls_ls($(solvers[3]))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"On my Mac the timings are all much longer compared to line_search_mm:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"840 μs BackTracking\n2.6 ms HagerZhang\n3.9 ms MoreThuente","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This comparison illustrates the benefit of the \"special purpose\" line search.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The fastest version seems to be BackTracking, so plot its iterates:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"alpha_bt = zeros(ninner + 1)\nalpha_bt[1] = a0\nfor iter in 1:ninner\n tmp = BackTracking( ; iterations = iter)\n alpha_bt[iter+1] = ls_ls(tmp)\nend\nplot(0:ninner, alpha_bt, marker=:square, color=:blue,\n xlabel=\"Iteration\", ylabel=\"BackTracking α\")\nplot!([0, ninner], [1,1] * αstar, color=:red)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Unexpectedly, BackTracking seems to terminate at the first iteration. But even just that single iteration is slower than 7 iterations of line_search_mm.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"prompt()","category":"page"},{"location":"generated/examples/3-ls-mm/#Reproducibility","page":"Line search MM","title":"Reproducibility","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This page was generated with the following version of Julia:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"using InteractiveUtils: versioninfo\nio = IOBuffer(); versioninfo(io); split(String(take!(io)), '\\n')","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"And with the following package versions","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"import Pkg; Pkg.status()","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This page was generated using Literate.jl.","category":"page"}] } diff --git a/dev/toc/index.html b/dev/toc/index.html deleted file mode 100644 index 8aff274e..00000000 --- a/dev/toc/index.html +++ /dev/null @@ -1,2 +0,0 @@ - -Table of Contents · MIRT.jl
    Edit on GitHub
    diff --git a/index.html b/index.html index 1a6cc116..6a5afc30 100644 --- a/index.html +++ b/index.html @@ -1,2 +1,2 @@ - + diff --git a/previews/PR129/assets/custom.css b/previews/PR129/assets/custom.css new file mode 100644 index 00000000..31e65493 --- /dev/null +++ b/previews/PR129/assets/custom.css @@ -0,0 +1,3 @@ +.docs-sourcelink { + opacity:1 !important; +} diff --git a/previews/PR129/assets/documenter.js b/previews/PR129/assets/documenter.js new file mode 100644 index 00000000..6adfbbbf --- /dev/null +++ b/previews/PR129/assets/documenter.js @@ -0,0 +1,331 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fas", "fa-copy"); + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-times"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-times"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function() { + $('#documenter .docs-navbar').headroom({ + "tolerance": {"up": 10, "down": 10}, + }); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function() { + var settings = $('#documenter-settings'); + $('#documenter-settings-button').click(function(){ + settings.toggleClass('is-active'); + }); + // Close the dialog if X is clicked + $('#documenter-settings button.delete').click(function(){ + settings.removeClass('is-active'); + }); + // Close dialog if ESC is pressed + $(document).keyup(function(e) { + if (e.keyCode == 27) settings.removeClass('is-active'); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function() { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button") + sidebar_button.click(function(ev) { + ev.preventDefault(); + sidebar.toggleClass('visible'); + if (sidebar.hasClass('visible')) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind('click', function(ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass('visible')) { + sidebar.removeClass('visible'); + } + }); +}) + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function() { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css('max-width'), 10); + var L0 = e.width(); + if(L0 > L) { + var h0 = parseInt(e.css('font-size'), 10); + e.css('font-size', L * h0 / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on('orientationchange', resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function() { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if(typeof active !== 'undefined') { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +function set_theme(theme) { + var active = null; + var disabled = []; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + var themename = ss.ownerNode.getAttribute("data-theme-name"); + if(themename === null) continue; // ignore non-theme stylesheets + // Find the active theme + if(themename === theme) active = ss; + else disabled.push(ss); + } + if(active !== null) { + active.disabled = false; + if(active.ownerNode.getAttribute("data-theme-primary") === null) { + document.getElementsByTagName('html')[0].className = "theme--" + theme; + } else { + document.getElementsByTagName('html')[0].className = ""; + } + disabled.forEach(function(ss){ + ss.disabled = true; + }); + } + + // Store the theme in localStorage + if(typeof(window.localStorage) !== "undefined") { + window.localStorage.setItem("documenter-theme", theme); + } else { + console.error("Browser does not support window.localStorage"); + } +} + +// Theme picker setup +$(document).ready(function() { + // onchange callback + $('#documenter-themepicker').change(function themepick_callback(ev){ + var themename = $('#documenter-themepicker option:selected').attr('value'); + set_theme(themename); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if(typeof(window.localStorage) !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if(theme !== null) { + $('#documenter-themepicker option').each(function(i,e) { + e.selected = (e.value === theme); + }) + } else { + $('#documenter-themepicker option').each(function(i,e) { + e.selected = $("html").hasClass(`theme--${e.value}`); + }) + } + } +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function() { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function(x) { + target_href = version_selector_select.children("option:selected").get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) { + var option = $(""); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== 'undefined') { + var existing_versions = version_selector_select.children("option"); + 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html.theme--documenter-dark .is-medium.delete { + height: 24px; + max-height: 24px; + max-width: 24px; + min-height: 24px; + min-width: 24px; + width: 24px; } + html.theme--documenter-dark .is-large.modal-close, html.theme--documenter-dark .is-large.delete { + height: 32px; + max-height: 32px; + max-width: 32px; + min-height: 32px; + min-width: 32px; + width: 32px; } + +html.theme--documenter-dark .control.is-loading::after, html.theme--documenter-dark .select.is-loading::after, html.theme--documenter-dark .loader, html.theme--documenter-dark .button.is-loading::after { + animation: spinAround 500ms infinite linear; + border: 2px solid #dbdee0; + border-radius: 290486px; + border-right-color: transparent; + border-top-color: transparent; + content: ""; + display: block; + height: 1em; + position: relative; + width: 1em; } + +html.theme--documenter-dark .hero-video, html.theme--documenter-dark .modal-background, html.theme--documenter-dark .modal, html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img, +html.theme--documenter-dark .image.is-square .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img, +html.theme--documenter-dark .image.is-1by1 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img, +html.theme--documenter-dark .image.is-5by4 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img, +html.theme--documenter-dark .image.is-4by3 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img, +html.theme--documenter-dark .image.is-3by2 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img, +html.theme--documenter-dark .image.is-5by3 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img, +html.theme--documenter-dark .image.is-16by9 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img, +html.theme--documenter-dark .image.is-2by1 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img, +html.theme--documenter-dark .image.is-3by1 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img, +html.theme--documenter-dark .image.is-4by5 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img, +html.theme--documenter-dark .image.is-3by4 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img, +html.theme--documenter-dark .image.is-2by3 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img, +html.theme--documenter-dark .image.is-3by5 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img, +html.theme--documenter-dark .image.is-9by16 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img, +html.theme--documenter-dark .image.is-1by2 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img, +html.theme--documenter-dark .image.is-1by3 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay { + bottom: 0; + left: 0; + position: absolute; + right: 0; + top: 0; } + +html.theme--documenter-dark .pagination-previous, +html.theme--documenter-dark .pagination-next, +html.theme--documenter-dark .pagination-link, +html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .file-cta, +html.theme--documenter-dark .file-name, html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .button { + -moz-appearance: none; + -webkit-appearance: none; + align-items: center; + border: 1px solid transparent; + border-radius: 0.4em; + box-shadow: none; + display: inline-flex; + font-size: 15px; + height: 2.25em; + justify-content: flex-start; + line-height: 1.5; + padding-bottom: calc(0.375em - 1px); + padding-left: calc(0.625em - 1px); + padding-right: calc(0.625em - 1px); + padding-top: calc(0.375em - 1px); + position: relative; + vertical-align: top; } + html.theme--documenter-dark .pagination-previous:focus, + html.theme--documenter-dark .pagination-next:focus, + html.theme--documenter-dark .pagination-link:focus, + html.theme--documenter-dark .pagination-ellipsis:focus, html.theme--documenter-dark .file-cta:focus, + html.theme--documenter-dark .file-name:focus, html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .button:focus, html.theme--documenter-dark .is-focused.pagination-previous, + html.theme--documenter-dark .is-focused.pagination-next, + html.theme--documenter-dark .is-focused.pagination-link, + html.theme--documenter-dark .is-focused.pagination-ellipsis, html.theme--documenter-dark .is-focused.file-cta, + html.theme--documenter-dark .is-focused.file-name, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-focused.button, html.theme--documenter-dark .pagination-previous:active, + html.theme--documenter-dark .pagination-next:active, + html.theme--documenter-dark .pagination-link:active, + html.theme--documenter-dark .pagination-ellipsis:active, html.theme--documenter-dark .file-cta:active, + html.theme--documenter-dark .file-name:active, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .button:active, html.theme--documenter-dark .is-active.pagination-previous, + html.theme--documenter-dark .is-active.pagination-next, + html.theme--documenter-dark .is-active.pagination-link, + html.theme--documenter-dark .is-active.pagination-ellipsis, html.theme--documenter-dark .is-active.file-cta, + html.theme--documenter-dark .is-active.file-name, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .is-active.button { + outline: none; } + html.theme--documenter-dark .pagination-previous[disabled], + html.theme--documenter-dark .pagination-next[disabled], + html.theme--documenter-dark .pagination-link[disabled], + html.theme--documenter-dark .pagination-ellipsis[disabled], html.theme--documenter-dark .file-cta[disabled], + html.theme--documenter-dark .file-name[disabled], html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .pagination-previous, html.theme--documenter-dark fieldset[disabled] .pagination-previous, + fieldset[disabled] html.theme--documenter-dark .pagination-next, + html.theme--documenter-dark fieldset[disabled] .pagination-next, + fieldset[disabled] html.theme--documenter-dark .pagination-link, + html.theme--documenter-dark fieldset[disabled] .pagination-link, + fieldset[disabled] html.theme--documenter-dark .pagination-ellipsis, + html.theme--documenter-dark fieldset[disabled] .pagination-ellipsis, fieldset[disabled] html.theme--documenter-dark .file-cta, html.theme--documenter-dark fieldset[disabled] .file-cta, + fieldset[disabled] html.theme--documenter-dark .file-name, + html.theme--documenter-dark fieldset[disabled] .file-name, fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark fieldset[disabled] .select select, html.theme--documenter-dark .select fieldset[disabled] select, html.theme--documenter-dark fieldset[disabled] .textarea, html.theme--documenter-dark fieldset[disabled] .input, html.theme--documenter-dark fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] html.theme--documenter-dark .button, html.theme--documenter-dark fieldset[disabled] .button { + cursor: not-allowed; } + +/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */ +html, +body, +p, +ol, +ul, +li, +dl, +dt, +dd, +blockquote, +figure, +fieldset, +legend, +textarea, +pre, +iframe, +hr, +h1, +h2, +h3, +h4, +h5, +h6 { + margin: 0; + padding: 0; } + +h1, +h2, +h3, +h4, +h5, +h6 { + font-size: 100%; + font-weight: normal; } + +ul { + list-style: none; } + +button, +input, +select, +textarea { + margin: 0; } + +html { + box-sizing: border-box; } + +*, *::before, *::after { + box-sizing: inherit; } + +img, +embed, +iframe, +object, +video { + height: auto; + max-width: 100%; } + +audio { + max-width: 100%; } + +iframe { + border: 0; } + +table { + border-collapse: collapse; + border-spacing: 0; } + +td, +th { + padding: 0; } + td:not([align]), + th:not([align]) { + text-align: left; } + +.is-clearfix::after { + clear: both; + content: " "; + display: table; } + +.is-pulled-left { + float: left !important; } + +.is-pulled-right { + float: right !important; } + +.is-clipped { + overflow: hidden !important; } + +.is-size-1 { + font-size: 3rem !important; } + +.is-size-2 { + font-size: 2.5rem !important; } + +.is-size-3 { + font-size: 2rem !important; } + +.is-size-4 { + font-size: 1.5rem !important; } + +.is-size-5 { + font-size: 1.25rem !important; } + +.is-size-6 { + font-size: 15px !important; } + +.is-size-7, html.theme--documenter-dark .docstring > section > a.docs-sourcelink { + font-size: 0.85em !important; } + +@media screen and (max-width: 768px) { + .is-size-1-mobile { + font-size: 3rem !important; } + .is-size-2-mobile { + font-size: 2.5rem !important; } + .is-size-3-mobile { + font-size: 2rem !important; } + 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screen and (min-width: 1408px) { + .is-size-1-fullhd { + font-size: 3rem !important; } + .is-size-2-fullhd { + font-size: 2.5rem !important; } + .is-size-3-fullhd { + font-size: 2rem !important; } + .is-size-4-fullhd { + font-size: 1.5rem !important; } + .is-size-5-fullhd { + font-size: 1.25rem !important; } + .is-size-6-fullhd { + font-size: 15px !important; } + .is-size-7-fullhd { + font-size: 0.85em !important; } } + +.has-text-centered { + text-align: center !important; } + +.has-text-justified { + text-align: justify !important; } + +.has-text-left { + text-align: left !important; } + +.has-text-right { + text-align: right !important; } + +@media screen and (max-width: 768px) { + .has-text-centered-mobile { + text-align: center !important; } } + +@media screen and (min-width: 769px), print { + .has-text-centered-tablet { + text-align: center !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .has-text-centered-tablet-only { + text-align: center !important; } } + +@media screen and (max-width: 1055px) { + .has-text-centered-touch { + text-align: center !important; } } + +@media screen and (min-width: 1056px) { + .has-text-centered-desktop { + text-align: center !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .has-text-centered-desktop-only { + text-align: center !important; } } + +@media screen and (min-width: 1216px) { + .has-text-centered-widescreen { + text-align: center !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .has-text-centered-widescreen-only { + text-align: center !important; } } + +@media screen and (min-width: 1408px) { + .has-text-centered-fullhd { + text-align: center !important; } } + +@media screen and (max-width: 768px) { + .has-text-justified-mobile { + text-align: justify !important; } } + +@media screen and (min-width: 769px), print { + .has-text-justified-tablet { + text-align: justify !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .has-text-justified-tablet-only { + text-align: justify !important; } } + +@media screen and (max-width: 1055px) { + .has-text-justified-touch { + text-align: justify !important; } } + +@media screen and (min-width: 1056px) { + .has-text-justified-desktop { + text-align: justify !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .has-text-justified-desktop-only { + text-align: justify !important; } } + +@media screen and (min-width: 1216px) { + .has-text-justified-widescreen { + text-align: justify !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .has-text-justified-widescreen-only { + text-align: justify !important; } } + +@media screen and (min-width: 1408px) { + .has-text-justified-fullhd { + text-align: justify !important; } } + +@media screen and (max-width: 768px) { + .has-text-left-mobile { + text-align: left !important; } } + +@media screen and (min-width: 769px), print { + .has-text-left-tablet { + text-align: left !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .has-text-left-tablet-only { + text-align: left !important; } } + +@media screen and (max-width: 1055px) { + .has-text-left-touch { + text-align: left !important; } } + +@media screen and (min-width: 1056px) { + .has-text-left-desktop { + text-align: left !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .has-text-left-desktop-only { + text-align: left !important; } } + +@media screen and (min-width: 1216px) { + .has-text-left-widescreen { + text-align: left !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .has-text-left-widescreen-only { + text-align: left !important; } } + +@media screen and (min-width: 1408px) { + .has-text-left-fullhd { + text-align: left !important; } } + +@media screen and (max-width: 768px) { + .has-text-right-mobile { + text-align: right !important; } } + +@media screen and (min-width: 769px), print { + .has-text-right-tablet { + text-align: right !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .has-text-right-tablet-only { + text-align: right !important; } } + +@media screen and (max-width: 1055px) { + .has-text-right-touch { + text-align: right !important; } } + +@media screen and (min-width: 1056px) { + .has-text-right-desktop { + text-align: right !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .has-text-right-desktop-only { + text-align: right !important; } } + +@media screen and (min-width: 1216px) { + .has-text-right-widescreen { + text-align: right !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .has-text-right-widescreen-only { + text-align: right !important; } } + +@media screen and (min-width: 1408px) { + .has-text-right-fullhd { + text-align: right !important; } } + +.is-capitalized { + text-transform: capitalize !important; } + +.is-lowercase { + text-transform: lowercase !important; } + +.is-uppercase { + text-transform: uppercase !important; } + +.is-italic { + font-style: italic !important; } + +.has-text-white { + color: white !important; } + +a.has-text-white:hover, a.has-text-white:focus { + color: #e6e6e6 !important; } + +.has-background-white { + background-color: white !important; } + +.has-text-black { + color: #0a0a0a !important; } + +a.has-text-black:hover, a.has-text-black:focus { + color: black !important; } + +.has-background-black { + background-color: #0a0a0a !important; } + +.has-text-light { + color: #ecf0f1 !important; } + +a.has-text-light:hover, a.has-text-light:focus { + color: #cfd9db !important; } + +.has-background-light { + background-color: #ecf0f1 !important; } + +.has-text-dark { + color: #282f2f !important; } + +a.has-text-dark:hover, a.has-text-dark:focus { + color: #111414 !important; } + +.has-background-dark { + background-color: #282f2f !important; } + +.has-text-primary { + color: #375a7f !important; } + +a.has-text-primary:hover, a.has-text-primary:focus { + color: #28415b !important; } + +.has-background-primary { + background-color: #375a7f !important; } + +.has-text-link { + color: #1abc9c !important; } + +a.has-text-link:hover, a.has-text-link:focus { + color: #148f77 !important; } + +.has-background-link { + background-color: #1abc9c !important; } + +.has-text-info { + color: #024c7d !important; } + +a.has-text-info:hover, a.has-text-info:focus { + color: #012d4b !important; } + +.has-background-info { + background-color: #024c7d !important; } + +.has-text-success { + color: #008438 !important; } + +a.has-text-success:hover, a.has-text-success:focus { + color: #005122 !important; } + +.has-background-success { + background-color: #008438 !important; } + +.has-text-warning { + color: #ad8100 !important; } + +a.has-text-warning:hover, a.has-text-warning:focus { + color: #7a5b00 !important; } + 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-apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; } + +.is-family-sans-serif { + font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; } + +.is-family-monospace { + font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; } + +.is-family-code { + font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; } + +.is-block { + display: block !important; } + +@media screen and (max-width: 768px) { + .is-block-mobile { + display: block !important; } } + +@media screen and (min-width: 769px), print { + .is-block-tablet { + display: block !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-block-tablet-only { + display: block !important; } } + +@media screen and (max-width: 1055px) { 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1055px) { + .is-flex-touch { + display: flex !important; } } + +@media screen and (min-width: 1056px) { + .is-flex-desktop { + display: flex !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-flex-desktop-only { + display: flex !important; } } + +@media screen and (min-width: 1216px) { + .is-flex-widescreen { + display: flex !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-flex-widescreen-only { + display: flex !important; } } + +@media screen and (min-width: 1408px) { + .is-flex-fullhd { + display: flex !important; } } + +.is-inline { + display: inline !important; } + +@media screen and (max-width: 768px) { + .is-inline-mobile { + display: inline !important; } } + +@media screen and (min-width: 769px), print { + .is-inline-tablet { + display: inline !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-inline-tablet-only { + display: inline !important; } } + +@media screen and (max-width: 1055px) { + .is-inline-touch { + display: inline !important; } } + +@media screen and (min-width: 1056px) { + .is-inline-desktop { + display: inline !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-inline-desktop-only { + display: inline !important; } } + +@media screen and (min-width: 1216px) { + .is-inline-widescreen { + display: inline !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-inline-widescreen-only { + display: inline !important; } } + +@media screen and (min-width: 1408px) { + .is-inline-fullhd { + display: inline !important; } } + +.is-inline-block { + display: inline-block !important; } + +@media screen and (max-width: 768px) { + .is-inline-block-mobile { + display: inline-block !important; } } + +@media screen and (min-width: 769px), print { + .is-inline-block-tablet { + display: inline-block !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + 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(min-width: 769px), print { + .is-inline-flex-tablet { + display: inline-flex !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-inline-flex-tablet-only { + display: inline-flex !important; } } + +@media screen and (max-width: 1055px) { + .is-inline-flex-touch { + display: inline-flex !important; } } + +@media screen and (min-width: 1056px) { + .is-inline-flex-desktop { + display: inline-flex !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-inline-flex-desktop-only { + display: inline-flex !important; } } + +@media screen and (min-width: 1216px) { + .is-inline-flex-widescreen { + display: inline-flex !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-inline-flex-widescreen-only { + display: inline-flex !important; } } + +@media screen and (min-width: 1408px) { + .is-inline-flex-fullhd { + display: inline-flex !important; } } + +.is-hidden { + display: none !important; } + +.is-sr-only { + border: none !important; + clip: rect(0, 0, 0, 0) !important; + height: 0.01em !important; + overflow: hidden !important; + padding: 0 !important; + position: absolute !important; + white-space: nowrap !important; + width: 0.01em !important; } + +@media screen and (max-width: 768px) { + .is-hidden-mobile { + display: none !important; } } + +@media screen and (min-width: 769px), print { + .is-hidden-tablet { + display: none !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-hidden-tablet-only { + display: none !important; } } + +@media screen and (max-width: 1055px) { + .is-hidden-touch { + display: none !important; } } + +@media screen and (min-width: 1056px) { + .is-hidden-desktop { + display: none !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-hidden-desktop-only { + display: none !important; } } + +@media screen and (min-width: 1216px) { + .is-hidden-widescreen { + display: none !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-hidden-widescreen-only { + display: none !important; } } + +@media screen and (min-width: 1408px) { + .is-hidden-fullhd { + display: none !important; } } + +.is-invisible { + visibility: hidden !important; } + +@media screen and (max-width: 768px) { + .is-invisible-mobile { + visibility: hidden !important; } } + +@media screen and (min-width: 769px), print { + .is-invisible-tablet { + visibility: hidden !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-invisible-tablet-only { + visibility: hidden !important; } } + +@media screen and (max-width: 1055px) { + .is-invisible-touch { + visibility: hidden !important; } } + +@media screen and (min-width: 1056px) { + .is-invisible-desktop { + visibility: hidden !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-invisible-desktop-only { + visibility: hidden !important; } } + +@media screen and (min-width: 1216px) { + .is-invisible-widescreen { + visibility: hidden !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-invisible-widescreen-only { + visibility: hidden !important; } } + +@media screen and (min-width: 1408px) { + .is-invisible-fullhd { + visibility: hidden !important; } } + +.is-marginless { + margin: 0 !important; } + +.is-paddingless { + padding: 0 !important; } + +.is-radiusless { + border-radius: 0 !important; } + +.is-shadowless { + box-shadow: none !important; } + +.is-relative { + position: relative !important; } + +html.theme--documenter-dark { + /* This file contain the overall layout. + * + * The main container is
    that is identified by id #documenter. + */ + /*! + Theme: a11y-dark + Author: @ericwbailey + Maintainer: @ericwbailey + + Based on the Tomorrow Night Eighties theme: https://github.com/isagalaev/highlight.js/blob/master/src/styles/tomorrow-night-eighties.css +*/ + /* Comment */ + /* Red */ + /* Orange */ + /* Yellow */ + /* Green */ + /* Blue */ + /* Purple */ } + html.theme--documenter-dark html { + background-color: #1f2424; + font-size: 16px; + -moz-osx-font-smoothing: grayscale; + -webkit-font-smoothing: antialiased; + min-width: 300px; + overflow-x: auto; + overflow-y: scroll; + text-rendering: optimizeLegibility; + text-size-adjust: 100%; } + html.theme--documenter-dark article, + html.theme--documenter-dark aside, + html.theme--documenter-dark figure, + html.theme--documenter-dark footer, + html.theme--documenter-dark header, + html.theme--documenter-dark hgroup, + html.theme--documenter-dark section { + display: block; } + html.theme--documenter-dark body, + html.theme--documenter-dark button, + html.theme--documenter-dark input, + html.theme--documenter-dark select, + html.theme--documenter-dark textarea { + font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; } + html.theme--documenter-dark code, + html.theme--documenter-dark pre { + -moz-osx-font-smoothing: auto; + -webkit-font-smoothing: auto; + font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; } + html.theme--documenter-dark body { + color: #fff; + font-size: 1em; + font-weight: 400; + line-height: 1.5; } + html.theme--documenter-dark a { + color: #1abc9c; + cursor: pointer; + text-decoration: none; } + html.theme--documenter-dark a strong { + color: currentColor; } + html.theme--documenter-dark a:hover { + color: #1dd2af; } + html.theme--documenter-dark code { + background-color: rgba(255, 255, 255, 0.05); + color: #ececec; + font-size: 0.875em; + font-weight: normal; + padding: 0.1em; } + html.theme--documenter-dark hr { + background-color: #282f2f; + border: none; + display: block; + height: 2px; + margin: 1.5rem 0; } + html.theme--documenter-dark img { + height: auto; + max-width: 100%; } + html.theme--documenter-dark input[type="checkbox"], + html.theme--documenter-dark input[type="radio"] { + vertical-align: baseline; } + html.theme--documenter-dark small { + font-size: 0.875em; } + html.theme--documenter-dark span { + font-style: inherit; + font-weight: inherit; } + html.theme--documenter-dark strong { + color: #f2f2f2; + font-weight: 700; } + html.theme--documenter-dark fieldset { + border: none; } + html.theme--documenter-dark pre { + -webkit-overflow-scrolling: touch; + background-color: #282f2f; + color: #fff; + font-size: 0.875em; + overflow-x: auto; + padding: 1.25rem 1.5rem; + white-space: pre; + word-wrap: normal; } + html.theme--documenter-dark pre code { + background-color: transparent; + color: currentColor; + font-size: 1em; + padding: 0; } + html.theme--documenter-dark table td, + html.theme--documenter-dark table th { + vertical-align: top; } + html.theme--documenter-dark table td:not([align]), + html.theme--documenter-dark table th:not([align]) { + text-align: left; } + html.theme--documenter-dark table th { + color: #f2f2f2; } + html.theme--documenter-dark .box { + background-color: #343c3d; + border-radius: 8px; + box-shadow: none; + color: #fff; + display: block; + padding: 1.25rem; } + html.theme--documenter-dark a.box:hover, html.theme--documenter-dark a.box:focus { + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #1abc9c; } + html.theme--documenter-dark a.box:active { + box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #1abc9c; } + html.theme--documenter-dark .button { + background-color: #282f2f; + border-color: #4c5759; + border-width: 1px; + color: #375a7f; + cursor: pointer; + justify-content: center; + padding-bottom: calc(0.375em - 1px); + padding-left: 0.75em; + padding-right: 0.75em; + padding-top: calc(0.375em - 1px); + text-align: center; + white-space: nowrap; } + html.theme--documenter-dark .button strong { + color: inherit; } + html.theme--documenter-dark .button .icon, html.theme--documenter-dark .button .icon.is-small, html.theme--documenter-dark .button #documenter .docs-sidebar form.docs-search > input.icon, html.theme--documenter-dark #documenter .docs-sidebar .button form.docs-search > input.icon, html.theme--documenter-dark .button .icon.is-medium, html.theme--documenter-dark .button .icon.is-large { + height: 1.5em; + width: 1.5em; } + html.theme--documenter-dark .button .icon:first-child:not(:last-child) { + margin-left: calc(-0.375em - 1px); + margin-right: 0.1875em; } + html.theme--documenter-dark .button .icon:last-child:not(:first-child) { + margin-left: 0.1875em; + margin-right: calc(-0.375em - 1px); } + html.theme--documenter-dark .button .icon:first-child:last-child { + margin-left: calc(-0.375em - 1px); + margin-right: calc(-0.375em - 1px); } + html.theme--documenter-dark .button:hover, html.theme--documenter-dark .button.is-hovered { + border-color: #8c9b9d; + color: #f2f2f2; } + html.theme--documenter-dark .button:focus, html.theme--documenter-dark .button.is-focused { + border-color: #8c9b9d; + color: #17a689; } + html.theme--documenter-dark .button:focus:not(:active), html.theme--documenter-dark .button.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } + html.theme--documenter-dark .button:active, html.theme--documenter-dark .button.is-active { + border-color: #343c3d; + color: #f2f2f2; } + html.theme--documenter-dark .button.is-text { + background-color: transparent; + border-color: transparent; + color: #fff; + text-decoration: underline; } + html.theme--documenter-dark .button.is-text:hover, html.theme--documenter-dark .button.is-text.is-hovered, html.theme--documenter-dark .button.is-text:focus, html.theme--documenter-dark .button.is-text.is-focused { + background-color: #282f2f; + color: #f2f2f2; } + html.theme--documenter-dark .button.is-text:active, html.theme--documenter-dark .button.is-text.is-active { + background-color: #1d2122; + color: #f2f2f2; } + html.theme--documenter-dark .button.is-text[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-text { + background-color: transparent; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-white { + background-color: white; + border-color: transparent; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-white:hover, html.theme--documenter-dark .button.is-white.is-hovered { + background-color: #f9f9f9; + border-color: transparent; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-white:focus, html.theme--documenter-dark .button.is-white.is-focused { + border-color: transparent; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-white:focus:not(:active), html.theme--documenter-dark .button.is-white.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } + html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white.is-active { + background-color: #f2f2f2; + border-color: transparent; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-white[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white { + background-color: white; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-white.is-inverted { + background-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .button.is-white.is-inverted:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-hovered { + background-color: black; } + html.theme--documenter-dark .button.is-white.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted { + background-color: #0a0a0a; + border-color: transparent; + box-shadow: none; + color: white; } + html.theme--documenter-dark .button.is-white.is-loading::after { + border-color: transparent transparent #0a0a0a #0a0a0a !important; } + html.theme--documenter-dark .button.is-white.is-outlined { + background-color: transparent; + border-color: white; + color: white; } + html.theme--documenter-dark .button.is-white.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-outlined.is-focused { + background-color: white; + border-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after { + border-color: transparent transparent white white !important; } + html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #0a0a0a #0a0a0a !important; } + html.theme--documenter-dark .button.is-white.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined { + background-color: transparent; + border-color: white; + box-shadow: none; + color: white; } + html.theme--documenter-dark .button.is-white.is-inverted.is-outlined { + background-color: transparent; + border-color: #0a0a0a; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused { + background-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent white white !important; } + html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined { + background-color: transparent; + border-color: #0a0a0a; + box-shadow: none; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-black { + background-color: #0a0a0a; + border-color: transparent; + color: white; } + html.theme--documenter-dark .button.is-black:hover, html.theme--documenter-dark .button.is-black.is-hovered { + background-color: #040404; + border-color: transparent; + color: white; } + html.theme--documenter-dark .button.is-black:focus, html.theme--documenter-dark .button.is-black.is-focused { + border-color: transparent; + color: white; } + html.theme--documenter-dark .button.is-black:focus:not(:active), html.theme--documenter-dark .button.is-black.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } + html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black.is-active { + background-color: black; + border-color: transparent; + color: white; } + html.theme--documenter-dark .button.is-black[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black { + background-color: #0a0a0a; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-black.is-inverted { + background-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-black.is-inverted:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-hovered { + background-color: #f2f2f2; } + html.theme--documenter-dark .button.is-black.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted { + background-color: white; + border-color: transparent; + box-shadow: none; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-black.is-loading::after { + border-color: transparent transparent white white !important; } + html.theme--documenter-dark .button.is-black.is-outlined { + background-color: transparent; + border-color: #0a0a0a; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-black.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-outlined.is-focused { + background-color: #0a0a0a; + border-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after { + border-color: transparent transparent #0a0a0a #0a0a0a !important; } + html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent white white !important; } + html.theme--documenter-dark .button.is-black.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined { + background-color: transparent; + border-color: #0a0a0a; + box-shadow: none; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-black.is-inverted.is-outlined { + background-color: transparent; + border-color: white; + color: white; } + html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused { + background-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #0a0a0a #0a0a0a !important; } + html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined { + background-color: transparent; + border-color: white; + box-shadow: none; + color: white; } + html.theme--documenter-dark .button.is-light { + background-color: #ecf0f1; + border-color: transparent; + color: #282f2f; } + html.theme--documenter-dark .button.is-light:hover, html.theme--documenter-dark .button.is-light.is-hovered { + background-color: #e5eaec; + border-color: transparent; + color: #282f2f; } + html.theme--documenter-dark .button.is-light:focus, html.theme--documenter-dark .button.is-light.is-focused { + border-color: transparent; + color: #282f2f; } + html.theme--documenter-dark .button.is-light:focus:not(:active), html.theme--documenter-dark .button.is-light.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); } + html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light.is-active { + background-color: #dde4e6; + border-color: transparent; + color: #282f2f; } + html.theme--documenter-dark .button.is-light[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light { + background-color: #ecf0f1; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-light.is-inverted { + background-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-light.is-inverted:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-hovered { + background-color: #1d2122; } + html.theme--documenter-dark .button.is-light.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted { + background-color: #282f2f; + border-color: transparent; + box-shadow: none; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-light.is-loading::after { + border-color: transparent transparent #282f2f #282f2f !important; } + html.theme--documenter-dark .button.is-light.is-outlined { + background-color: transparent; + border-color: #ecf0f1; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-light.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-outlined.is-focused { + background-color: #ecf0f1; + border-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after { + border-color: transparent transparent #ecf0f1 #ecf0f1 !important; } + html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #282f2f #282f2f !important; } + html.theme--documenter-dark .button.is-light.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined { + background-color: transparent; + border-color: #ecf0f1; + box-shadow: none; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-light.is-inverted.is-outlined { + background-color: transparent; + border-color: #282f2f; + color: #282f2f; } + html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused { + background-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #ecf0f1 #ecf0f1 !important; } + html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined { + background-color: transparent; + border-color: #282f2f; + box-shadow: none; + color: #282f2f; } + html.theme--documenter-dark .button.is-dark, html.theme--documenter-dark .content kbd.button { + background-color: #282f2f; + border-color: transparent; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover, html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered { + background-color: #232829; + border-color: transparent; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused { + border-color: transparent; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-dark:focus:not(:active), html.theme--documenter-dark .content kbd.button:focus:not(:active), html.theme--documenter-dark .button.is-dark.is-focused:not(:active), html.theme--documenter-dark .content kbd.button.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); } + html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active { + background-color: #1d2122; + border-color: transparent; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-dark[disabled], html.theme--documenter-dark .content kbd.button[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark, fieldset[disabled] html.theme--documenter-dark .content kbd.button { + background-color: #282f2f; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-dark.is-inverted, html.theme--documenter-dark .content kbd.button.is-inverted { + background-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .button.is-dark.is-inverted:hover, html.theme--documenter-dark .content kbd.button.is-inverted:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered { + background-color: #dde4e6; } + html.theme--documenter-dark .button.is-dark.is-inverted[disabled], html.theme--documenter-dark .content kbd.button.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted { + background-color: #ecf0f1; + border-color: transparent; + box-shadow: none; + color: #282f2f; } + html.theme--documenter-dark .button.is-dark.is-loading::after, html.theme--documenter-dark .content kbd.button.is-loading::after { + border-color: transparent transparent #ecf0f1 #ecf0f1 !important; } + html.theme--documenter-dark .button.is-dark.is-outlined, html.theme--documenter-dark .content kbd.button.is-outlined { + background-color: transparent; + border-color: #282f2f; + color: #282f2f; } + html.theme--documenter-dark .button.is-dark.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-outlined.is-focused { + background-color: #282f2f; + border-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after { + border-color: transparent transparent #282f2f #282f2f !important; } + html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #ecf0f1 #ecf0f1 !important; } + html.theme--documenter-dark .button.is-dark.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined { + background-color: transparent; + border-color: #282f2f; + box-shadow: none; + color: #282f2f; } + html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined { + background-color: transparent; + border-color: #ecf0f1; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused { + background-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #282f2f #282f2f !important; } + html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined { + background-color: transparent; + border-color: #ecf0f1; + box-shadow: none; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-primary, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink { + background-color: #375a7f; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink { + background-color: #335476; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink { + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-primary:focus:not(:active), html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus:not(:active), html.theme--documenter-dark .button.is-primary.is-focused:not(:active), html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) { + box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); } + html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink { + background-color: #2f4d6d; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-primary[disabled], html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink { + background-color: #375a7f; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-primary.is-inverted, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink { + background-color: #fff; + color: #375a7f; } + html.theme--documenter-dark .button.is-primary.is-inverted:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink { + background-color: #f2f2f2; } + html.theme--documenter-dark .button.is-primary.is-inverted[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #375a7f; } + html.theme--documenter-dark .button.is-primary.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-loading.docs-sourcelink::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-primary.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink { + background-color: transparent; + border-color: #375a7f; + color: #375a7f; } + html.theme--documenter-dark .button.is-primary.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink { + background-color: #375a7f; + border-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after { + border-color: transparent transparent #375a7f #375a7f !important; } + html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-primary.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink { + background-color: transparent; + border-color: #375a7f; + box-shadow: none; + color: #375a7f; } + html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink { + background-color: transparent; + border-color: #fff; + color: #fff; } + html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink { + background-color: #fff; + color: #375a7f; } + html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after { + border-color: transparent transparent #375a7f #375a7f !important; } + html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + html.theme--documenter-dark .button.is-link { + background-color: #1abc9c; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-link:hover, html.theme--documenter-dark .button.is-link.is-hovered { + background-color: #18b193; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-link:focus, html.theme--documenter-dark .button.is-link.is-focused { + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-link:focus:not(:active), html.theme--documenter-dark .button.is-link.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } + html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link.is-active { + background-color: #17a689; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-link[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link { + background-color: #1abc9c; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-link.is-inverted { + background-color: #fff; + color: #1abc9c; } + html.theme--documenter-dark .button.is-link.is-inverted:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-hovered { + background-color: #f2f2f2; } + html.theme--documenter-dark .button.is-link.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #1abc9c; } + html.theme--documenter-dark .button.is-link.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-link.is-outlined { + background-color: transparent; + border-color: #1abc9c; + color: #1abc9c; } + html.theme--documenter-dark .button.is-link.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-outlined.is-focused { + background-color: #1abc9c; + border-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .button.is-link.is-outlined.is-loading::after { + border-color: transparent transparent #1abc9c #1abc9c !important; } + html.theme--documenter-dark .button.is-link.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-link.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined { + background-color: transparent; + border-color: #1abc9c; + box-shadow: none; + color: #1abc9c; } + html.theme--documenter-dark .button.is-link.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #1abc9c; } + html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #1abc9c #1abc9c !important; } + html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + html.theme--documenter-dark .button.is-info { + background-color: #024c7d; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-info:hover, html.theme--documenter-dark .button.is-info.is-hovered { + background-color: #024470; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-info:focus, html.theme--documenter-dark .button.is-info.is-focused { + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-info:focus:not(:active), html.theme--documenter-dark .button.is-info.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); } + html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info.is-active { + background-color: #023d64; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-info[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info { + background-color: #024c7d; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-info.is-inverted { + background-color: #fff; + color: #024c7d; } + html.theme--documenter-dark .button.is-info.is-inverted:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-hovered { + background-color: #f2f2f2; } + html.theme--documenter-dark .button.is-info.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #024c7d; } + html.theme--documenter-dark .button.is-info.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-info.is-outlined { + background-color: transparent; + border-color: #024c7d; + color: #024c7d; } + html.theme--documenter-dark .button.is-info.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-outlined.is-focused { + background-color: #024c7d; + border-color: #024c7d; + color: #fff; } + html.theme--documenter-dark .button.is-info.is-outlined.is-loading::after { + border-color: transparent transparent #024c7d #024c7d !important; } + html.theme--documenter-dark .button.is-info.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-info.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-outlined { + background-color: transparent; + border-color: #024c7d; + box-shadow: none; + color: #024c7d; } + html.theme--documenter-dark .button.is-info.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #024c7d; } + html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #024c7d #024c7d !important; } + html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + html.theme--documenter-dark .button.is-success { + background-color: #008438; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-success:hover, html.theme--documenter-dark .button.is-success.is-hovered { + background-color: #007733; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-success:focus, html.theme--documenter-dark .button.is-success.is-focused { + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-success:focus:not(:active), html.theme--documenter-dark .button.is-success.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); } + html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success.is-active { + background-color: #006b2d; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-success[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success { + background-color: #008438; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-success.is-inverted { + background-color: #fff; + color: #008438; } + html.theme--documenter-dark .button.is-success.is-inverted:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-hovered { + background-color: #f2f2f2; } + html.theme--documenter-dark .button.is-success.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #008438; } + html.theme--documenter-dark .button.is-success.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-success.is-outlined { + background-color: transparent; + border-color: #008438; + color: #008438; } + html.theme--documenter-dark .button.is-success.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-outlined.is-focused { + background-color: #008438; + border-color: #008438; + color: #fff; } + html.theme--documenter-dark .button.is-success.is-outlined.is-loading::after { + border-color: transparent transparent #008438 #008438 !important; } + html.theme--documenter-dark .button.is-success.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-success.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined { + background-color: transparent; + border-color: #008438; + box-shadow: none; + color: #008438; } + html.theme--documenter-dark .button.is-success.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #008438; } + html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #008438 #008438 !important; } + html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + html.theme--documenter-dark .button.is-warning { + background-color: #ad8100; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-warning:hover, html.theme--documenter-dark .button.is-warning.is-hovered { + background-color: #a07700; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-warning:focus, html.theme--documenter-dark .button.is-warning.is-focused { + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-warning:focus:not(:active), html.theme--documenter-dark .button.is-warning.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); } + html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning.is-active { + background-color: #946e00; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-warning[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning { + background-color: #ad8100; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-warning.is-inverted { + background-color: #fff; + color: #ad8100; } + html.theme--documenter-dark .button.is-warning.is-inverted:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-hovered { + background-color: #f2f2f2; } + html.theme--documenter-dark .button.is-warning.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #ad8100; } + html.theme--documenter-dark .button.is-warning.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-warning.is-outlined { + background-color: transparent; + border-color: #ad8100; + color: #ad8100; } + html.theme--documenter-dark .button.is-warning.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-outlined.is-focused { + background-color: #ad8100; + border-color: #ad8100; + color: #fff; } + html.theme--documenter-dark .button.is-warning.is-outlined.is-loading::after { + border-color: transparent transparent #ad8100 #ad8100 !important; } + html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-warning.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined { + background-color: transparent; + border-color: #ad8100; + box-shadow: none; + color: #ad8100; } + html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #ad8100; } + html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #ad8100 #ad8100 !important; } + html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + html.theme--documenter-dark .button.is-danger { + background-color: #9e1b0d; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-danger:hover, html.theme--documenter-dark .button.is-danger.is-hovered { + background-color: #92190c; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-danger:focus, html.theme--documenter-dark .button.is-danger.is-focused { + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-danger:focus:not(:active), html.theme--documenter-dark .button.is-danger.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); } + html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger.is-active { + background-color: #86170b; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-danger[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger { + background-color: #9e1b0d; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-danger.is-inverted { + background-color: #fff; + color: #9e1b0d; } + html.theme--documenter-dark .button.is-danger.is-inverted:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered { + background-color: #f2f2f2; } + html.theme--documenter-dark .button.is-danger.is-inverted[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #9e1b0d; } + html.theme--documenter-dark .button.is-danger.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-danger.is-outlined { + background-color: transparent; + border-color: #9e1b0d; + color: #9e1b0d; } + html.theme--documenter-dark .button.is-danger.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-outlined.is-focused { + background-color: #9e1b0d; + border-color: #9e1b0d; + color: #fff; } + html.theme--documenter-dark .button.is-danger.is-outlined.is-loading::after { + border-color: transparent transparent #9e1b0d #9e1b0d !important; } + html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-danger.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined { + background-color: transparent; + border-color: #9e1b0d; + box-shadow: none; + color: #9e1b0d; } + html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #9e1b0d; } + html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #9e1b0d #9e1b0d !important; } + html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + html.theme--documenter-dark .button.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button { + border-radius: 3px; + font-size: 0.85em; } + html.theme--documenter-dark .button.is-normal { + font-size: 15px; } + html.theme--documenter-dark .button.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .button.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .button[disabled], fieldset[disabled] html.theme--documenter-dark .button { + background-color: #8c9b9d; + border-color: #dbdee0; + box-shadow: none; + opacity: 0.5; } + html.theme--documenter-dark .button.is-fullwidth { + display: flex; + width: 100%; } + html.theme--documenter-dark .button.is-loading { + color: transparent !important; + pointer-events: none; } + html.theme--documenter-dark .button.is-loading::after { + position: absolute; + left: calc(50% - (1em / 2)); + top: calc(50% - (1em / 2)); + position: absolute !important; } + html.theme--documenter-dark .button.is-static { + background-color: #282f2f; + border-color: #5e6d6f; + color: #dbdee0; + box-shadow: none; + pointer-events: none; } + html.theme--documenter-dark .button.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button { + border-radius: 290486px; + padding-left: 1em; + padding-right: 1em; } + html.theme--documenter-dark .buttons { + align-items: center; + display: flex; + flex-wrap: wrap; + justify-content: flex-start; } + html.theme--documenter-dark .buttons .button { + margin-bottom: 0.5rem; } + html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth) { + margin-right: 0.5rem; } + html.theme--documenter-dark .buttons:last-child { + margin-bottom: -0.5rem; } + html.theme--documenter-dark .buttons:not(:last-child) { + margin-bottom: 1rem; } + html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) { + border-radius: 3px; + font-size: 0.85em; } + html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) { + font-size: 1.25rem; } + html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) { + font-size: 1.5rem; } + html.theme--documenter-dark .buttons.has-addons .button:not(:first-child) { + border-bottom-left-radius: 0; + border-top-left-radius: 0; } + html.theme--documenter-dark .buttons.has-addons .button:not(:last-child) { + border-bottom-right-radius: 0; + border-top-right-radius: 0; + margin-right: -1px; } + html.theme--documenter-dark .buttons.has-addons .button:last-child { + margin-right: 0; } + html.theme--documenter-dark .buttons.has-addons .button:hover, html.theme--documenter-dark .buttons.has-addons .button.is-hovered { + z-index: 2; } + html.theme--documenter-dark .buttons.has-addons .button:focus, html.theme--documenter-dark .buttons.has-addons .button.is-focused, html.theme--documenter-dark .buttons.has-addons .button:active, html.theme--documenter-dark .buttons.has-addons .button.is-active, html.theme--documenter-dark .buttons.has-addons .button.is-selected { + z-index: 3; } + html.theme--documenter-dark .buttons.has-addons .button:focus:hover, html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover, html.theme--documenter-dark .buttons.has-addons .button:active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover { + z-index: 4; } + html.theme--documenter-dark .buttons.has-addons .button.is-expanded { + flex-grow: 1; + flex-shrink: 1; } + html.theme--documenter-dark .buttons.is-centered { + justify-content: center; } + html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) { + margin-left: 0.25rem; + margin-right: 0.25rem; } + html.theme--documenter-dark .buttons.is-right { + justify-content: flex-end; } + html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) { + margin-left: 0.25rem; + margin-right: 0.25rem; } + html.theme--documenter-dark .container { + flex-grow: 1; + margin: 0 auto; + position: relative; + width: auto; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .container { + max-width: 992px; } + html.theme--documenter-dark .container.is-fluid { + margin-left: 32px; + margin-right: 32px; + max-width: none; } } + @media screen and (max-width: 1215px) { + html.theme--documenter-dark .container.is-widescreen { + max-width: 1152px; } } + @media screen and (max-width: 1407px) { + html.theme--documenter-dark .container.is-fullhd { + max-width: 1344px; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .container { + max-width: 1152px; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .container { + max-width: 1344px; } } + html.theme--documenter-dark .content li + li { + margin-top: 0.25em; } + html.theme--documenter-dark .content p:not(:last-child), + html.theme--documenter-dark .content dl:not(:last-child), + html.theme--documenter-dark .content ol:not(:last-child), + html.theme--documenter-dark .content ul:not(:last-child), + html.theme--documenter-dark .content blockquote:not(:last-child), + html.theme--documenter-dark .content pre:not(:last-child), + html.theme--documenter-dark .content table:not(:last-child) { + margin-bottom: 1em; } + html.theme--documenter-dark .content h1, + html.theme--documenter-dark .content h2, + html.theme--documenter-dark .content h3, + html.theme--documenter-dark .content h4, + html.theme--documenter-dark .content h5, + html.theme--documenter-dark .content h6 { + color: #f2f2f2; + font-weight: 600; + line-height: 1.125; } + html.theme--documenter-dark .content h1 { + font-size: 2em; + margin-bottom: 0.5em; } + html.theme--documenter-dark .content h1:not(:first-child) { + margin-top: 1em; } + html.theme--documenter-dark .content h2 { + font-size: 1.75em; + margin-bottom: 0.5714em; } + html.theme--documenter-dark .content h2:not(:first-child) { + margin-top: 1.1428em; } + html.theme--documenter-dark .content h3 { + font-size: 1.5em; + margin-bottom: 0.6666em; } + html.theme--documenter-dark .content h3:not(:first-child) { + margin-top: 1.3333em; } + html.theme--documenter-dark .content h4 { + font-size: 1.25em; + margin-bottom: 0.8em; } + html.theme--documenter-dark .content h5 { + font-size: 1.125em; + margin-bottom: 0.8888em; } + html.theme--documenter-dark .content h6 { + font-size: 1em; + margin-bottom: 1em; } + html.theme--documenter-dark .content blockquote { + background-color: #282f2f; + border-left: 5px solid #5e6d6f; + padding: 1.25em 1.5em; } + html.theme--documenter-dark .content ol { + list-style-position: outside; + margin-left: 2em; + margin-top: 1em; } + html.theme--documenter-dark .content ol:not([type]) { + list-style-type: decimal; } + html.theme--documenter-dark .content ol.is-lower-alpha:not([type]) { + list-style-type: lower-alpha; } + html.theme--documenter-dark .content ol.is-lower-roman:not([type]) { + list-style-type: lower-roman; } + html.theme--documenter-dark .content ol.is-upper-alpha:not([type]) { + list-style-type: upper-alpha; } + html.theme--documenter-dark .content ol.is-upper-roman:not([type]) { + list-style-type: upper-roman; } + html.theme--documenter-dark .content ul { + list-style: disc outside; + margin-left: 2em; + margin-top: 1em; } + html.theme--documenter-dark .content ul ul { + list-style-type: circle; + margin-top: 0.5em; } + html.theme--documenter-dark .content ul ul ul { + list-style-type: square; } + html.theme--documenter-dark .content dd { + margin-left: 2em; } + html.theme--documenter-dark .content figure { + margin-left: 2em; + margin-right: 2em; + text-align: center; } + html.theme--documenter-dark .content figure:not(:first-child) { + margin-top: 2em; } + html.theme--documenter-dark .content figure:not(:last-child) { + margin-bottom: 2em; } + html.theme--documenter-dark .content figure img { + display: inline-block; } + html.theme--documenter-dark .content figure figcaption { + font-style: italic; } + html.theme--documenter-dark .content pre { + -webkit-overflow-scrolling: touch; + overflow-x: auto; + padding: 0; + white-space: pre; + word-wrap: normal; } + html.theme--documenter-dark .content sup, + html.theme--documenter-dark .content sub { + font-size: 75%; } + html.theme--documenter-dark .content table { + width: 100%; } + html.theme--documenter-dark .content table td, + html.theme--documenter-dark .content table th { + border: 1px solid #5e6d6f; + border-width: 0 0 1px; + padding: 0.5em 0.75em; + vertical-align: top; } + html.theme--documenter-dark .content table th { + color: #f2f2f2; } + html.theme--documenter-dark .content table th:not([align]) { + text-align: left; } + html.theme--documenter-dark .content table thead td, + html.theme--documenter-dark .content table thead th { + border-width: 0 0 2px; + color: #f2f2f2; } + html.theme--documenter-dark .content table tfoot td, + html.theme--documenter-dark .content table tfoot th { + border-width: 2px 0 0; + color: #f2f2f2; } + html.theme--documenter-dark .content table tbody tr:last-child td, + html.theme--documenter-dark .content table tbody tr:last-child th { + border-bottom-width: 0; } + html.theme--documenter-dark .content .tabs li + li { + margin-top: 0; } + html.theme--documenter-dark .content.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.content { + font-size: 0.85em; } + html.theme--documenter-dark .content.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .content.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .icon { + align-items: center; + display: inline-flex; + justify-content: center; + height: 1.5rem; + width: 1.5rem; } + html.theme--documenter-dark .icon.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.icon { + height: 1rem; + width: 1rem; } + html.theme--documenter-dark .icon.is-medium { + height: 2rem; + width: 2rem; } + html.theme--documenter-dark .icon.is-large { + height: 3rem; + width: 3rem; } + html.theme--documenter-dark .image, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img { + display: block; + position: relative; } + html.theme--documenter-dark .image img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img { + display: block; + height: auto; + width: 100%; } + html.theme--documenter-dark .image img.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img.is-rounded { + border-radius: 290486px; } + html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img, + html.theme--documenter-dark .image.is-square .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img, + html.theme--documenter-dark .image.is-1by1 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img, + html.theme--documenter-dark .image.is-5by4 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img, + html.theme--documenter-dark .image.is-4by3 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img, + html.theme--documenter-dark .image.is-3by2 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img, + html.theme--documenter-dark .image.is-5by3 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img, + html.theme--documenter-dark .image.is-16by9 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img, + html.theme--documenter-dark .image.is-2by1 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img, + html.theme--documenter-dark .image.is-3by1 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img, + html.theme--documenter-dark .image.is-4by5 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img, + html.theme--documenter-dark .image.is-3by4 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img, + html.theme--documenter-dark .image.is-2by3 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img, + html.theme--documenter-dark .image.is-3by5 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img, + html.theme--documenter-dark .image.is-9by16 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img, + html.theme--documenter-dark .image.is-1by2 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img, + html.theme--documenter-dark .image.is-1by3 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio { + height: 100%; + width: 100%; } + html.theme--documenter-dark .image.is-square, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square, html.theme--documenter-dark .image.is-1by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 { + padding-top: 100%; } + html.theme--documenter-dark .image.is-5by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 { + padding-top: 80%; } + html.theme--documenter-dark .image.is-4by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 { + padding-top: 75%; } + html.theme--documenter-dark .image.is-3by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 { + padding-top: 66.6666%; } + html.theme--documenter-dark .image.is-5by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 { + padding-top: 60%; } + html.theme--documenter-dark .image.is-16by9, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 { + padding-top: 56.25%; } + html.theme--documenter-dark .image.is-2by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 { + padding-top: 50%; } + html.theme--documenter-dark .image.is-3by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 { + padding-top: 33.3333%; } + html.theme--documenter-dark .image.is-4by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 { + padding-top: 125%; } + html.theme--documenter-dark .image.is-3by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 { + padding-top: 133.3333%; } + html.theme--documenter-dark .image.is-2by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 { + padding-top: 150%; } + html.theme--documenter-dark .image.is-3by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 { + padding-top: 166.6666%; } + html.theme--documenter-dark .image.is-9by16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 { + padding-top: 177.7777%; } + html.theme--documenter-dark .image.is-1by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 { + padding-top: 200%; } + html.theme--documenter-dark .image.is-1by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 { + padding-top: 300%; } + html.theme--documenter-dark .image.is-16x16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16x16 { + height: 16px; + width: 16px; } + html.theme--documenter-dark .image.is-24x24, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-24x24 { + height: 24px; + width: 24px; } + html.theme--documenter-dark .image.is-32x32, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-32x32 { + height: 32px; + width: 32px; } + html.theme--documenter-dark .image.is-48x48, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-48x48 { + height: 48px; + width: 48px; } + html.theme--documenter-dark .image.is-64x64, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-64x64 { + height: 64px; + width: 64px; } + html.theme--documenter-dark .image.is-96x96, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-96x96 { + height: 96px; + width: 96px; } + html.theme--documenter-dark .image.is-128x128, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-128x128 { + height: 128px; + width: 128px; } + html.theme--documenter-dark .notification { + background-color: #282f2f; + border-radius: 0.4em; + padding: 1.25rem 2.5rem 1.25rem 1.5rem; + position: relative; } + html.theme--documenter-dark .notification a:not(.button):not(.dropdown-item) { + color: currentColor; + text-decoration: underline; } + html.theme--documenter-dark .notification strong { + color: currentColor; } + html.theme--documenter-dark .notification code, + html.theme--documenter-dark .notification pre { + background: white; } + html.theme--documenter-dark .notification pre code { + background: transparent; } + html.theme--documenter-dark .notification > .delete { + position: absolute; + right: 0.5rem; + top: 0.5rem; } + html.theme--documenter-dark .notification .title, + html.theme--documenter-dark .notification .subtitle, + html.theme--documenter-dark .notification .content { + color: currentColor; } + html.theme--documenter-dark .notification.is-white { + background-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .notification.is-black { + background-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .notification.is-light { + background-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .notification.is-dark, html.theme--documenter-dark .content kbd.notification { + background-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .notification.is-primary, html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink { + background-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .notification.is-link { + background-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .notification.is-info { + background-color: #024c7d; + color: #fff; } + html.theme--documenter-dark .notification.is-success { + background-color: #008438; + color: #fff; } + html.theme--documenter-dark .notification.is-warning { + background-color: #ad8100; + color: #fff; } + html.theme--documenter-dark .notification.is-danger { + background-color: #9e1b0d; + color: #fff; } + html.theme--documenter-dark .progress { + -moz-appearance: none; + -webkit-appearance: none; + border: none; + border-radius: 290486px; + display: block; + height: 15px; + overflow: hidden; + padding: 0; + width: 100%; } + html.theme--documenter-dark .progress::-webkit-progress-bar { + background-color: #5e6d6f; } + html.theme--documenter-dark .progress::-webkit-progress-value { + background-color: #dbdee0; } + html.theme--documenter-dark .progress::-moz-progress-bar { + background-color: #dbdee0; } + html.theme--documenter-dark .progress::-ms-fill { + background-color: #dbdee0; + border: none; } + html.theme--documenter-dark .progress.is-white::-webkit-progress-value { + background-color: white; } + html.theme--documenter-dark .progress.is-white::-moz-progress-bar { + background-color: white; } + html.theme--documenter-dark .progress.is-white::-ms-fill { + background-color: white; } + html.theme--documenter-dark .progress.is-white:indeterminate { + background-image: linear-gradient(to right, white 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-black::-webkit-progress-value { + background-color: #0a0a0a; } + html.theme--documenter-dark .progress.is-black::-moz-progress-bar { + background-color: #0a0a0a; } + html.theme--documenter-dark .progress.is-black::-ms-fill { + background-color: #0a0a0a; } + html.theme--documenter-dark .progress.is-black:indeterminate { + background-image: linear-gradient(to right, #0a0a0a 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-light::-webkit-progress-value { + background-color: #ecf0f1; } + html.theme--documenter-dark .progress.is-light::-moz-progress-bar { + background-color: #ecf0f1; } + html.theme--documenter-dark .progress.is-light::-ms-fill { + background-color: #ecf0f1; } + html.theme--documenter-dark .progress.is-light:indeterminate { + background-image: linear-gradient(to right, #ecf0f1 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-dark::-webkit-progress-value, html.theme--documenter-dark .content kbd.progress::-webkit-progress-value { + background-color: #282f2f; } + html.theme--documenter-dark .progress.is-dark::-moz-progress-bar, html.theme--documenter-dark .content kbd.progress::-moz-progress-bar { + background-color: #282f2f; } + html.theme--documenter-dark .progress.is-dark::-ms-fill, html.theme--documenter-dark .content kbd.progress::-ms-fill { + background-color: #282f2f; } + html.theme--documenter-dark .progress.is-dark:indeterminate, html.theme--documenter-dark .content kbd.progress:indeterminate { + background-image: linear-gradient(to right, #282f2f 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-primary::-webkit-progress-value, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value { + background-color: #375a7f; } + html.theme--documenter-dark .progress.is-primary::-moz-progress-bar, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar { + background-color: #375a7f; } + html.theme--documenter-dark .progress.is-primary::-ms-fill, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-ms-fill { + background-color: #375a7f; } + html.theme--documenter-dark .progress.is-primary:indeterminate, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink:indeterminate { + background-image: linear-gradient(to right, #375a7f 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-link::-webkit-progress-value { + background-color: #1abc9c; } + html.theme--documenter-dark .progress.is-link::-moz-progress-bar { + background-color: #1abc9c; } + html.theme--documenter-dark .progress.is-link::-ms-fill { + background-color: #1abc9c; } + html.theme--documenter-dark .progress.is-link:indeterminate { + background-image: linear-gradient(to right, #1abc9c 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-info::-webkit-progress-value { + background-color: #024c7d; } + html.theme--documenter-dark .progress.is-info::-moz-progress-bar { + background-color: #024c7d; } + html.theme--documenter-dark .progress.is-info::-ms-fill { + background-color: #024c7d; } + html.theme--documenter-dark .progress.is-info:indeterminate { + background-image: linear-gradient(to right, #024c7d 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-success::-webkit-progress-value { + background-color: #008438; } + html.theme--documenter-dark .progress.is-success::-moz-progress-bar { + background-color: #008438; } + html.theme--documenter-dark .progress.is-success::-ms-fill { + background-color: #008438; } + html.theme--documenter-dark .progress.is-success:indeterminate { + background-image: linear-gradient(to right, #008438 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-warning::-webkit-progress-value { + background-color: #ad8100; } + html.theme--documenter-dark .progress.is-warning::-moz-progress-bar { + background-color: #ad8100; } + html.theme--documenter-dark .progress.is-warning::-ms-fill { + background-color: #ad8100; } + html.theme--documenter-dark .progress.is-warning:indeterminate { + background-image: linear-gradient(to right, #ad8100 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-danger::-webkit-progress-value { + background-color: #9e1b0d; } + html.theme--documenter-dark .progress.is-danger::-moz-progress-bar { + background-color: #9e1b0d; } + html.theme--documenter-dark .progress.is-danger::-ms-fill { + background-color: #9e1b0d; } + html.theme--documenter-dark .progress.is-danger:indeterminate { + background-image: linear-gradient(to right, #9e1b0d 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress:indeterminate { + animation-duration: 1.5s; + animation-iteration-count: infinite; + animation-name: moveIndeterminate; + animation-timing-function: linear; + background-color: #5e6d6f; + background-image: linear-gradient(to right, #fff 30%, #5e6d6f 30%); + background-position: top left; + background-repeat: no-repeat; + background-size: 150% 150%; } + html.theme--documenter-dark .progress:indeterminate::-webkit-progress-bar { + background-color: transparent; } + html.theme--documenter-dark .progress:indeterminate::-moz-progress-bar { + background-color: transparent; } + html.theme--documenter-dark .progress.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.progress { + height: 0.85em; } + html.theme--documenter-dark .progress.is-medium { + height: 1.25rem; } + html.theme--documenter-dark .progress.is-large { + height: 1.5rem; } + +@keyframes moveIndeterminate { + from { + background-position: 200% 0; } + to { + background-position: -200% 0; } } + html.theme--documenter-dark .table { + background-color: #343c3d; + color: #fff; } + html.theme--documenter-dark .table td, + html.theme--documenter-dark .table th { + border: 1px solid #5e6d6f; + border-width: 0 0 1px; + padding: 0.5em 0.75em; + vertical-align: top; } + html.theme--documenter-dark .table td.is-white, + html.theme--documenter-dark .table th.is-white { + background-color: white; + border-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .table td.is-black, + html.theme--documenter-dark .table th.is-black { + background-color: #0a0a0a; + border-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .table td.is-light, + html.theme--documenter-dark .table th.is-light { + background-color: #ecf0f1; + border-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .table td.is-dark, + html.theme--documenter-dark .table th.is-dark { + background-color: #282f2f; + border-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .table td.is-primary, + html.theme--documenter-dark .table th.is-primary { + background-color: #375a7f; + border-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .table td.is-link, + html.theme--documenter-dark .table th.is-link { + background-color: #1abc9c; + border-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .table td.is-info, + html.theme--documenter-dark .table th.is-info { + background-color: #024c7d; + border-color: #024c7d; + color: #fff; } + html.theme--documenter-dark .table td.is-success, + html.theme--documenter-dark .table th.is-success { + background-color: #008438; + border-color: #008438; + color: #fff; } + html.theme--documenter-dark .table td.is-warning, + html.theme--documenter-dark .table th.is-warning { + background-color: #ad8100; + border-color: #ad8100; + color: #fff; } + html.theme--documenter-dark .table td.is-danger, + html.theme--documenter-dark .table th.is-danger { + background-color: #9e1b0d; + border-color: #9e1b0d; + color: #fff; } + html.theme--documenter-dark .table td.is-narrow, + html.theme--documenter-dark .table th.is-narrow { + white-space: nowrap; + width: 1%; } + html.theme--documenter-dark .table td.is-selected, + html.theme--documenter-dark .table th.is-selected { + background-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .table td.is-selected a, + html.theme--documenter-dark .table td.is-selected strong, + html.theme--documenter-dark .table th.is-selected a, + html.theme--documenter-dark .table th.is-selected strong { + color: currentColor; } + html.theme--documenter-dark .table th { + color: #f2f2f2; } + html.theme--documenter-dark .table th:not([align]) { + text-align: left; } + html.theme--documenter-dark .table tr.is-selected { + background-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .table tr.is-selected a, + html.theme--documenter-dark .table tr.is-selected strong { + color: currentColor; } + html.theme--documenter-dark .table tr.is-selected td, + html.theme--documenter-dark .table tr.is-selected th { + border-color: #fff; + color: currentColor; } + html.theme--documenter-dark .table thead { + background-color: transparent; } + html.theme--documenter-dark .table thead td, + html.theme--documenter-dark .table thead th { + border-width: 0 0 2px; + color: #f2f2f2; } + html.theme--documenter-dark .table tfoot { + background-color: transparent; } + html.theme--documenter-dark .table tfoot td, + html.theme--documenter-dark .table tfoot th { + border-width: 2px 0 0; + color: #f2f2f2; } + html.theme--documenter-dark .table tbody { + background-color: transparent; } + html.theme--documenter-dark .table tbody tr:last-child td, + html.theme--documenter-dark .table tbody tr:last-child th { + border-bottom-width: 0; } + html.theme--documenter-dark .table.is-bordered td, + html.theme--documenter-dark .table.is-bordered th { + border-width: 1px; } + html.theme--documenter-dark .table.is-bordered tr:last-child td, + html.theme--documenter-dark .table.is-bordered tr:last-child th { + border-bottom-width: 1px; } + html.theme--documenter-dark .table.is-fullwidth { + width: 100%; } + html.theme--documenter-dark .table.is-hoverable tbody tr:not(.is-selected):hover { + background-color: #282f2f; } + html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover { + background-color: #282f2f; } + html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) { + background-color: #2d3435; } + html.theme--documenter-dark .table.is-narrow td, + html.theme--documenter-dark .table.is-narrow th { + padding: 0.25em 0.5em; } + html.theme--documenter-dark .table.is-striped tbody tr:not(.is-selected):nth-child(even) { + background-color: #282f2f; } + html.theme--documenter-dark .table-container { + -webkit-overflow-scrolling: touch; + overflow: auto; + overflow-y: hidden; + max-width: 100%; } + html.theme--documenter-dark .tags { + align-items: center; + display: flex; + flex-wrap: wrap; + justify-content: flex-start; } + html.theme--documenter-dark .tags .tag, html.theme--documenter-dark .tags .content kbd, html.theme--documenter-dark .content .tags kbd, html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink { + margin-bottom: 0.5rem; } + html.theme--documenter-dark .tags .tag:not(:last-child), html.theme--documenter-dark .tags .content kbd:not(:last-child), html.theme--documenter-dark .content .tags kbd:not(:last-child), html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink:not(:last-child) { + margin-right: 0.5rem; } + html.theme--documenter-dark .tags:last-child { + margin-bottom: -0.5rem; } + html.theme--documenter-dark .tags:not(:last-child) { + margin-bottom: 1rem; } + html.theme--documenter-dark .tags.are-medium .tag:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .content kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .content .tags.are-medium kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) { + font-size: 15px; } + html.theme--documenter-dark .tags.are-large .tag:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .content kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .content .tags.are-large kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) { + font-size: 1.25rem; } + html.theme--documenter-dark .tags.is-centered { + justify-content: center; } + html.theme--documenter-dark .tags.is-centered .tag, html.theme--documenter-dark .tags.is-centered .content kbd, html.theme--documenter-dark .content .tags.is-centered kbd, html.theme--documenter-dark .tags.is-centered .docstring > section > a.docs-sourcelink { + margin-right: 0.25rem; + margin-left: 0.25rem; } + html.theme--documenter-dark .tags.is-right { + justify-content: flex-end; } + html.theme--documenter-dark .tags.is-right .tag:not(:first-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:first-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) { + margin-left: 0.5rem; } + html.theme--documenter-dark .tags.is-right .tag:not(:last-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:last-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) { + margin-right: 0; } + html.theme--documenter-dark .tags.has-addons .tag, html.theme--documenter-dark .tags.has-addons .content kbd, html.theme--documenter-dark .content .tags.has-addons kbd, html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink { + margin-right: 0; } + html.theme--documenter-dark .tags.has-addons .tag:not(:first-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:first-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) { + margin-left: 0; + border-bottom-left-radius: 0; + border-top-left-radius: 0; } + html.theme--documenter-dark .tags.has-addons .tag:not(:last-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:last-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) { + border-bottom-right-radius: 0; + border-top-right-radius: 0; } + html.theme--documenter-dark .tag:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) { + align-items: center; + background-color: #282f2f; + border-radius: 0.4em; + color: #fff; + display: inline-flex; + font-size: 0.85em; + height: 2em; + justify-content: center; + line-height: 1.5; + padding-left: 0.75em; + padding-right: 0.75em; + white-space: nowrap; } + html.theme--documenter-dark .tag:not(body) .delete, html.theme--documenter-dark .content kbd:not(body) .delete, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .delete { + margin-left: 0.25rem; + margin-right: -0.375rem; } + html.theme--documenter-dark .tag.is-white:not(body), html.theme--documenter-dark .content kbd.is-white:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-white:not(body) { + background-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .tag.is-black:not(body), html.theme--documenter-dark .content kbd.is-black:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-black:not(body) { + background-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .tag.is-light:not(body), html.theme--documenter-dark .content kbd.is-light:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-light:not(body) { + background-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .tag.is-dark:not(body), html.theme--documenter-dark .content kbd:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-dark:not(body), html.theme--documenter-dark .content .docstring > section > kbd:not(body) { + background-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .tag.is-primary:not(body), html.theme--documenter-dark .content kbd.is-primary:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) { + background-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .tag.is-link:not(body), html.theme--documenter-dark .content kbd.is-link:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-link:not(body) { + background-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .tag.is-info:not(body), html.theme--documenter-dark .content kbd.is-info:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-info:not(body) { + background-color: #024c7d; + color: #fff; } + html.theme--documenter-dark .tag.is-success:not(body), html.theme--documenter-dark .content kbd.is-success:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-success:not(body) { + background-color: #008438; + color: #fff; } + html.theme--documenter-dark .tag.is-warning:not(body), html.theme--documenter-dark .content kbd.is-warning:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-warning:not(body) { + background-color: #ad8100; + color: #fff; } + html.theme--documenter-dark .tag.is-danger:not(body), html.theme--documenter-dark .content kbd.is-danger:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-danger:not(body) { + background-color: #9e1b0d; + color: #fff; } + html.theme--documenter-dark .tag.is-normal:not(body), html.theme--documenter-dark .content kbd.is-normal:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-normal:not(body) { + font-size: 0.85em; } + html.theme--documenter-dark .tag.is-medium:not(body), html.theme--documenter-dark .content kbd.is-medium:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-medium:not(body) { + font-size: 15px; } + html.theme--documenter-dark .tag.is-large:not(body), html.theme--documenter-dark .content kbd.is-large:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-large:not(body) { + font-size: 1.25rem; } + html.theme--documenter-dark .tag:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .content kbd:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) { + margin-left: -0.375em; + margin-right: 0.1875em; } + html.theme--documenter-dark .tag:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .content kbd:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) { + margin-left: 0.1875em; + margin-right: -0.375em; } + html.theme--documenter-dark .tag:not(body) .icon:first-child:last-child, html.theme--documenter-dark .content kbd:not(body) .icon:first-child:last-child, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child { + margin-left: -0.375em; + margin-right: -0.375em; } + html.theme--documenter-dark .tag.is-delete:not(body), html.theme--documenter-dark .content kbd.is-delete:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body) { + margin-left: 1px; + padding: 0; + position: relative; + width: 2em; } + html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after { + background-color: currentColor; + content: ""; + display: block; + left: 50%; + position: absolute; + top: 50%; + transform: translateX(-50%) translateY(-50%) rotate(45deg); + transform-origin: center center; } + html.theme--documenter-dark .tag.is-delete:not(body)::before, html.theme--documenter-dark .content kbd.is-delete:not(body)::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::before { + height: 1px; + width: 50%; } + html.theme--documenter-dark .tag.is-delete:not(body)::after, html.theme--documenter-dark .content kbd.is-delete:not(body)::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body)::after { + height: 50%; + width: 1px; } + html.theme--documenter-dark .tag.is-delete:not(body):hover, html.theme--documenter-dark .content kbd.is-delete:not(body):hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, html.theme--documenter-dark .tag.is-delete:not(body):focus, html.theme--documenter-dark .content kbd.is-delete:not(body):focus, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):focus { + background-color: #1d2122; } + html.theme--documenter-dark .tag.is-delete:not(body):active, html.theme--documenter-dark .content kbd.is-delete:not(body):active, html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-delete:not(body):active { + background-color: #111414; } + html.theme--documenter-dark .tag.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:not(body), html.theme--documenter-dark .content kbd.is-rounded:not(body), html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink.is-rounded:not(body) { + border-radius: 290486px; } + html.theme--documenter-dark a.tag:hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:hover { + text-decoration: underline; } + html.theme--documenter-dark .title, + html.theme--documenter-dark .subtitle { + word-break: break-word; } + html.theme--documenter-dark .title em, + html.theme--documenter-dark .title span, + html.theme--documenter-dark .subtitle em, + html.theme--documenter-dark .subtitle span { + font-weight: inherit; } + html.theme--documenter-dark .title sub, + html.theme--documenter-dark .subtitle sub { + font-size: 0.75em; } + html.theme--documenter-dark .title sup, + html.theme--documenter-dark .subtitle sup { + font-size: 0.75em; } + html.theme--documenter-dark .title .tag, html.theme--documenter-dark .title .content kbd, html.theme--documenter-dark .content .title kbd, html.theme--documenter-dark .title .docstring > section > a.docs-sourcelink, + html.theme--documenter-dark .subtitle .tag, + html.theme--documenter-dark .subtitle .content kbd, + html.theme--documenter-dark .content .subtitle kbd, + html.theme--documenter-dark .subtitle .docstring > section > a.docs-sourcelink { + vertical-align: middle; } + html.theme--documenter-dark .title { + color: #fff; + font-size: 2rem; + font-weight: 500; + line-height: 1.125; } + html.theme--documenter-dark .title strong { + color: inherit; + font-weight: inherit; } + html.theme--documenter-dark .title + .highlight { + margin-top: -0.75rem; } + html.theme--documenter-dark .title:not(.is-spaced) + .subtitle { + margin-top: -1.25rem; } + html.theme--documenter-dark .title.is-1 { + font-size: 3rem; } + html.theme--documenter-dark .title.is-2 { + font-size: 2.5rem; } + html.theme--documenter-dark .title.is-3 { + font-size: 2rem; } + html.theme--documenter-dark .title.is-4 { + font-size: 1.5rem; } + html.theme--documenter-dark .title.is-5 { + font-size: 1.25rem; } + html.theme--documenter-dark .title.is-6 { + font-size: 15px; } + html.theme--documenter-dark .title.is-7 { + font-size: 0.85em; } + html.theme--documenter-dark .subtitle { + color: #8c9b9d; + font-size: 1.25rem; + font-weight: 400; + line-height: 1.25; } + html.theme--documenter-dark .subtitle strong { + color: #8c9b9d; + font-weight: 600; } + html.theme--documenter-dark .subtitle:not(.is-spaced) + .title { + margin-top: -1.25rem; } + html.theme--documenter-dark .subtitle.is-1 { + font-size: 3rem; } + html.theme--documenter-dark .subtitle.is-2 { + font-size: 2.5rem; } + html.theme--documenter-dark .subtitle.is-3 { + font-size: 2rem; } + html.theme--documenter-dark .subtitle.is-4 { + font-size: 1.5rem; } + html.theme--documenter-dark .subtitle.is-5 { + font-size: 1.25rem; } + html.theme--documenter-dark .subtitle.is-6 { + font-size: 15px; } + html.theme--documenter-dark .subtitle.is-7 { + font-size: 0.85em; } + html.theme--documenter-dark .heading { + display: block; + font-size: 11px; + letter-spacing: 1px; + margin-bottom: 5px; + text-transform: uppercase; } + html.theme--documenter-dark .highlight { + font-weight: 400; + max-width: 100%; + overflow: hidden; + padding: 0; } + html.theme--documenter-dark .highlight pre { + overflow: auto; + max-width: 100%; } + html.theme--documenter-dark .number { + align-items: center; + background-color: #282f2f; + border-radius: 290486px; + display: inline-flex; + font-size: 1.25rem; + height: 2em; + justify-content: center; + margin-right: 1.5rem; + min-width: 2.5em; + padding: 0.25rem 0.5rem; + text-align: center; + vertical-align: top; } + html.theme--documenter-dark .select select, html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input { + background-color: #1f2424; + border-color: #5e6d6f; + border-radius: 0.4em; + color: #dbdee0; } + html.theme--documenter-dark .select select::-moz-placeholder, html.theme--documenter-dark .textarea::-moz-placeholder, html.theme--documenter-dark .input::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder { + color: rgba(219, 222, 224, 0.3); } + html.theme--documenter-dark .select select::-webkit-input-placeholder, html.theme--documenter-dark .textarea::-webkit-input-placeholder, html.theme--documenter-dark .input::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder { + color: rgba(219, 222, 224, 0.3); } + html.theme--documenter-dark .select select:-moz-placeholder, html.theme--documenter-dark .textarea:-moz-placeholder, html.theme--documenter-dark .input:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder { + color: rgba(219, 222, 224, 0.3); } + html.theme--documenter-dark .select select:-ms-input-placeholder, html.theme--documenter-dark .textarea:-ms-input-placeholder, html.theme--documenter-dark .input:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder { + color: rgba(219, 222, 224, 0.3); } + html.theme--documenter-dark .select select:hover, html.theme--documenter-dark .textarea:hover, html.theme--documenter-dark .input:hover, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:hover, html.theme--documenter-dark .select select.is-hovered, html.theme--documenter-dark .is-hovered.textarea, html.theme--documenter-dark .is-hovered.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-hovered { + border-color: #8c9b9d; } + html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { + border-color: #1abc9c; + box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } + html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] html.theme--documenter-dark .select select, fieldset[disabled] html.theme--documenter-dark .textarea, fieldset[disabled] html.theme--documenter-dark .input, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input { + background-color: #8c9b9d; + border-color: #282f2f; + box-shadow: none; + color: white; } + html.theme--documenter-dark .select select[disabled]::-moz-placeholder, html.theme--documenter-dark .textarea[disabled]::-moz-placeholder, html.theme--documenter-dark .input[disabled]::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder { + color: rgba(255, 255, 255, 0.3); } + html.theme--documenter-dark .select select[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .textarea[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .input[disabled]::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input::-webkit-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder { + color: rgba(255, 255, 255, 0.3); } + html.theme--documenter-dark .select select[disabled]:-moz-placeholder, html.theme--documenter-dark .textarea[disabled]:-moz-placeholder, html.theme--documenter-dark .input[disabled]:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-moz-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder { + color: rgba(255, 255, 255, 0.3); } + html.theme--documenter-dark .select select[disabled]:-ms-input-placeholder, html.theme--documenter-dark .textarea[disabled]:-ms-input-placeholder, html.theme--documenter-dark .input[disabled]:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .select select:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .textarea:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark .input:-ms-input-placeholder, fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder { + color: rgba(255, 255, 255, 0.3); } + html.theme--documenter-dark .textarea, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input { + box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1); + max-width: 100%; + width: 100%; } + html.theme--documenter-dark .textarea[readonly], html.theme--documenter-dark .input[readonly], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[readonly] { + box-shadow: none; } + html.theme--documenter-dark .is-white.textarea, html.theme--documenter-dark .is-white.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white { + border-color: white; } + html.theme--documenter-dark .is-white.textarea:focus, html.theme--documenter-dark .is-white.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:focus, html.theme--documenter-dark .is-white.is-focused.textarea, html.theme--documenter-dark .is-white.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-white.textarea:active, html.theme--documenter-dark .is-white.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:active, html.theme--documenter-dark .is-white.is-active.textarea, html.theme--documenter-dark .is-white.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } + html.theme--documenter-dark .is-black.textarea, html.theme--documenter-dark .is-black.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black { + border-color: #0a0a0a; } + html.theme--documenter-dark .is-black.textarea:focus, html.theme--documenter-dark .is-black.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:focus, html.theme--documenter-dark .is-black.is-focused.textarea, html.theme--documenter-dark .is-black.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-black.textarea:active, html.theme--documenter-dark .is-black.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:active, html.theme--documenter-dark .is-black.is-active.textarea, html.theme--documenter-dark .is-black.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } + html.theme--documenter-dark .is-light.textarea, html.theme--documenter-dark .is-light.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light { + border-color: #ecf0f1; } + html.theme--documenter-dark .is-light.textarea:focus, html.theme--documenter-dark .is-light.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:focus, html.theme--documenter-dark .is-light.is-focused.textarea, html.theme--documenter-dark .is-light.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-light.textarea:active, html.theme--documenter-dark .is-light.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:active, html.theme--documenter-dark .is-light.is-active.textarea, html.theme--documenter-dark .is-light.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); } + html.theme--documenter-dark .is-dark.textarea, html.theme--documenter-dark .content kbd.textarea, html.theme--documenter-dark .is-dark.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark, html.theme--documenter-dark .content kbd.input { + border-color: #282f2f; } + html.theme--documenter-dark .is-dark.textarea:focus, html.theme--documenter-dark .content kbd.textarea:focus, html.theme--documenter-dark .is-dark.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:focus, html.theme--documenter-dark .content kbd.input:focus, html.theme--documenter-dark .is-dark.is-focused.textarea, html.theme--documenter-dark .content kbd.is-focused.textarea, html.theme--documenter-dark .is-dark.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .content kbd.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-focused, html.theme--documenter-dark .is-dark.textarea:active, html.theme--documenter-dark .content kbd.textarea:active, html.theme--documenter-dark .is-dark.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:active, html.theme--documenter-dark .content kbd.input:active, html.theme--documenter-dark .is-dark.is-active.textarea, html.theme--documenter-dark .content kbd.is-active.textarea, html.theme--documenter-dark .is-dark.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .content kbd.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar .content form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); } + html.theme--documenter-dark .is-primary.textarea, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink { + border-color: #375a7f; } + html.theme--documenter-dark .is-primary.textarea:focus, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:focus, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.is-focused.textarea, html.theme--documenter-dark .docstring > section > a.is-focused.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .docstring > section > a.is-focused.input.docs-sourcelink, html.theme--documenter-dark .is-primary.textarea:active, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:active, html.theme--documenter-dark .is-primary.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:active, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:active, html.theme--documenter-dark .is-primary.is-active.textarea, html.theme--documenter-dark .docstring > section > a.is-active.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .docstring > section > a.is-active.input.docs-sourcelink { + box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); } + html.theme--documenter-dark .is-link.textarea, html.theme--documenter-dark .is-link.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link { + border-color: #1abc9c; } + html.theme--documenter-dark .is-link.textarea:focus, html.theme--documenter-dark .is-link.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:focus, html.theme--documenter-dark .is-link.is-focused.textarea, html.theme--documenter-dark .is-link.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-link.textarea:active, html.theme--documenter-dark .is-link.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:active, html.theme--documenter-dark .is-link.is-active.textarea, html.theme--documenter-dark .is-link.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } + html.theme--documenter-dark .is-info.textarea, html.theme--documenter-dark .is-info.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info { + border-color: #024c7d; } + html.theme--documenter-dark .is-info.textarea:focus, html.theme--documenter-dark .is-info.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:focus, html.theme--documenter-dark .is-info.is-focused.textarea, html.theme--documenter-dark .is-info.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-info.textarea:active, html.theme--documenter-dark .is-info.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:active, html.theme--documenter-dark .is-info.is-active.textarea, html.theme--documenter-dark .is-info.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); } + html.theme--documenter-dark .is-success.textarea, html.theme--documenter-dark .is-success.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success { + border-color: #008438; } + html.theme--documenter-dark .is-success.textarea:focus, html.theme--documenter-dark .is-success.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:focus, html.theme--documenter-dark .is-success.is-focused.textarea, html.theme--documenter-dark .is-success.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-success.textarea:active, html.theme--documenter-dark .is-success.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:active, html.theme--documenter-dark .is-success.is-active.textarea, html.theme--documenter-dark .is-success.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); } + html.theme--documenter-dark .is-warning.textarea, html.theme--documenter-dark .is-warning.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning { + border-color: #ad8100; } + html.theme--documenter-dark .is-warning.textarea:focus, html.theme--documenter-dark .is-warning.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:focus, html.theme--documenter-dark .is-warning.is-focused.textarea, html.theme--documenter-dark .is-warning.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-warning.textarea:active, html.theme--documenter-dark .is-warning.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:active, html.theme--documenter-dark .is-warning.is-active.textarea, html.theme--documenter-dark .is-warning.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); } + html.theme--documenter-dark .is-danger.textarea, html.theme--documenter-dark .is-danger.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger { + border-color: #9e1b0d; } + html.theme--documenter-dark .is-danger.textarea:focus, html.theme--documenter-dark .is-danger.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:focus, html.theme--documenter-dark .is-danger.is-focused.textarea, html.theme--documenter-dark .is-danger.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-danger.textarea:active, html.theme--documenter-dark .is-danger.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:active, html.theme--documenter-dark .is-danger.is-active.textarea, html.theme--documenter-dark .is-danger.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); } + html.theme--documenter-dark .is-small.textarea, html.theme--documenter-dark .is-small.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input { + border-radius: 3px; + font-size: 0.85em; } + html.theme--documenter-dark .is-medium.textarea, html.theme--documenter-dark .is-medium.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .is-large.textarea, html.theme--documenter-dark .is-large.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .is-fullwidth.textarea, html.theme--documenter-dark .is-fullwidth.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-fullwidth { + display: block; + width: 100%; } + html.theme--documenter-dark .is-inline.textarea, html.theme--documenter-dark .is-inline.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-inline { + display: inline; + width: auto; } + html.theme--documenter-dark .input.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input { + border-radius: 290486px; + padding-left: 1em; + padding-right: 1em; } + html.theme--documenter-dark .input.is-static, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-static { + background-color: transparent; + border-color: transparent; + box-shadow: none; + padding-left: 0; + padding-right: 0; } + html.theme--documenter-dark .textarea { + display: block; + max-width: 100%; + min-width: 100%; + padding: 0.625em; + resize: vertical; } + html.theme--documenter-dark .textarea:not([rows]) { + max-height: 600px; + min-height: 120px; } + html.theme--documenter-dark .textarea[rows] { + height: initial; } + html.theme--documenter-dark .textarea.has-fixed-size { + resize: none; } + html.theme--documenter-dark .radio, html.theme--documenter-dark .checkbox { + cursor: pointer; + display: inline-block; + line-height: 1.25; + position: relative; } + html.theme--documenter-dark .radio input, html.theme--documenter-dark .checkbox input { + cursor: pointer; } + html.theme--documenter-dark .radio:hover, html.theme--documenter-dark .checkbox:hover { + color: #8c9b9d; } + html.theme--documenter-dark .radio[disabled], html.theme--documenter-dark .checkbox[disabled], fieldset[disabled] html.theme--documenter-dark .radio, fieldset[disabled] html.theme--documenter-dark .checkbox { + color: white; + cursor: not-allowed; } + html.theme--documenter-dark .radio + .radio { + margin-left: 0.5em; } + html.theme--documenter-dark .select { + display: inline-block; + max-width: 100%; + position: relative; + vertical-align: top; } + html.theme--documenter-dark .select:not(.is-multiple) { + height: 2.25em; } + html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after { + border-color: #1abc9c; + right: 1.125em; + z-index: 4; } + html.theme--documenter-dark .select.is-rounded select, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select select { + border-radius: 290486px; + padding-left: 1em; } + html.theme--documenter-dark .select select { + cursor: pointer; + display: block; + font-size: 1em; + max-width: 100%; + outline: none; } + html.theme--documenter-dark .select select::-ms-expand { + display: none; } + html.theme--documenter-dark .select select[disabled]:hover, fieldset[disabled] html.theme--documenter-dark .select select:hover { + border-color: #282f2f; } + html.theme--documenter-dark .select select:not([multiple]) { + padding-right: 2.5em; } + html.theme--documenter-dark .select select[multiple] { + height: auto; + padding: 0; } + html.theme--documenter-dark .select select[multiple] option { + padding: 0.5em 1em; } + html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading):hover::after { + border-color: #8c9b9d; } + html.theme--documenter-dark .select.is-white:not(:hover)::after { + border-color: white; } + html.theme--documenter-dark .select.is-white select { + border-color: white; } + html.theme--documenter-dark .select.is-white select:hover, html.theme--documenter-dark .select.is-white select.is-hovered { + border-color: #f2f2f2; } + html.theme--documenter-dark .select.is-white select:focus, html.theme--documenter-dark .select.is-white select.is-focused, html.theme--documenter-dark .select.is-white select:active, html.theme--documenter-dark .select.is-white select.is-active { + box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } + html.theme--documenter-dark .select.is-black:not(:hover)::after { + border-color: #0a0a0a; } + html.theme--documenter-dark .select.is-black select { + border-color: #0a0a0a; } + html.theme--documenter-dark .select.is-black select:hover, html.theme--documenter-dark .select.is-black select.is-hovered { + border-color: black; } + html.theme--documenter-dark .select.is-black select:focus, html.theme--documenter-dark .select.is-black select.is-focused, html.theme--documenter-dark .select.is-black select:active, html.theme--documenter-dark .select.is-black select.is-active { + box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } + html.theme--documenter-dark .select.is-light:not(:hover)::after { + border-color: #ecf0f1; } + html.theme--documenter-dark .select.is-light select { + border-color: #ecf0f1; } + html.theme--documenter-dark .select.is-light select:hover, html.theme--documenter-dark .select.is-light select.is-hovered { + border-color: #dde4e6; } + html.theme--documenter-dark .select.is-light select:focus, html.theme--documenter-dark .select.is-light select.is-focused, html.theme--documenter-dark .select.is-light select:active, html.theme--documenter-dark .select.is-light select.is-active { + box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); } + html.theme--documenter-dark .select.is-dark:not(:hover)::after, html.theme--documenter-dark .content kbd.select:not(:hover)::after { + border-color: #282f2f; } + html.theme--documenter-dark .select.is-dark select, html.theme--documenter-dark .content kbd.select select { + border-color: #282f2f; } + html.theme--documenter-dark .select.is-dark select:hover, html.theme--documenter-dark .content kbd.select select:hover, html.theme--documenter-dark .select.is-dark select.is-hovered, html.theme--documenter-dark .content kbd.select select.is-hovered { + border-color: #1d2122; } + html.theme--documenter-dark .select.is-dark select:focus, html.theme--documenter-dark .content kbd.select select:focus, html.theme--documenter-dark .select.is-dark select.is-focused, html.theme--documenter-dark .content kbd.select select.is-focused, html.theme--documenter-dark .select.is-dark select:active, html.theme--documenter-dark .content kbd.select select:active, html.theme--documenter-dark .select.is-dark select.is-active, html.theme--documenter-dark .content kbd.select select.is-active { + box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); } + html.theme--documenter-dark .select.is-primary:not(:hover)::after, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink:not(:hover)::after { + border-color: #375a7f; } + html.theme--documenter-dark .select.is-primary select, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select { + border-color: #375a7f; } + html.theme--documenter-dark .select.is-primary select:hover, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:hover, html.theme--documenter-dark .select.is-primary select.is-hovered, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-hovered { + border-color: #2f4d6d; } + html.theme--documenter-dark .select.is-primary select:focus, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:focus, html.theme--documenter-dark .select.is-primary select.is-focused, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-focused, html.theme--documenter-dark .select.is-primary select:active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:active, html.theme--documenter-dark .select.is-primary select.is-active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-active { + box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); } + html.theme--documenter-dark .select.is-link:not(:hover)::after { + border-color: #1abc9c; } + html.theme--documenter-dark .select.is-link select { + border-color: #1abc9c; } + html.theme--documenter-dark .select.is-link select:hover, html.theme--documenter-dark .select.is-link select.is-hovered { + border-color: #17a689; } + html.theme--documenter-dark .select.is-link select:focus, html.theme--documenter-dark .select.is-link select.is-focused, html.theme--documenter-dark .select.is-link select:active, html.theme--documenter-dark .select.is-link select.is-active { + box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } + html.theme--documenter-dark .select.is-info:not(:hover)::after { + border-color: #024c7d; } + html.theme--documenter-dark .select.is-info select { + border-color: #024c7d; } + html.theme--documenter-dark .select.is-info select:hover, html.theme--documenter-dark .select.is-info select.is-hovered { + border-color: #023d64; } + html.theme--documenter-dark .select.is-info select:focus, html.theme--documenter-dark .select.is-info select.is-focused, html.theme--documenter-dark .select.is-info select:active, html.theme--documenter-dark .select.is-info select.is-active { + box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); } + html.theme--documenter-dark .select.is-success:not(:hover)::after { + border-color: #008438; } + html.theme--documenter-dark .select.is-success select { + border-color: #008438; } + html.theme--documenter-dark .select.is-success select:hover, html.theme--documenter-dark .select.is-success select.is-hovered { + border-color: #006b2d; } + html.theme--documenter-dark .select.is-success select:focus, html.theme--documenter-dark .select.is-success select.is-focused, html.theme--documenter-dark .select.is-success select:active, html.theme--documenter-dark .select.is-success select.is-active { + box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); } + html.theme--documenter-dark .select.is-warning:not(:hover)::after { + border-color: #ad8100; } + html.theme--documenter-dark .select.is-warning select { + border-color: #ad8100; } + html.theme--documenter-dark .select.is-warning select:hover, html.theme--documenter-dark .select.is-warning select.is-hovered { + border-color: #946e00; } + html.theme--documenter-dark .select.is-warning select:focus, html.theme--documenter-dark .select.is-warning select.is-focused, html.theme--documenter-dark .select.is-warning select:active, html.theme--documenter-dark .select.is-warning select.is-active { + box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); } + html.theme--documenter-dark .select.is-danger:not(:hover)::after { + border-color: #9e1b0d; } + html.theme--documenter-dark .select.is-danger select { + border-color: #9e1b0d; } + html.theme--documenter-dark .select.is-danger select:hover, html.theme--documenter-dark .select.is-danger select.is-hovered { + border-color: #86170b; } + html.theme--documenter-dark .select.is-danger select:focus, html.theme--documenter-dark .select.is-danger select.is-focused, html.theme--documenter-dark .select.is-danger select:active, html.theme--documenter-dark .select.is-danger select.is-active { + box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); } + html.theme--documenter-dark .select.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select { + border-radius: 3px; + font-size: 0.85em; } + html.theme--documenter-dark .select.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .select.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .select.is-disabled::after { + border-color: white; } + html.theme--documenter-dark .select.is-fullwidth { + width: 100%; } + html.theme--documenter-dark .select.is-fullwidth select { + width: 100%; } + html.theme--documenter-dark .select.is-loading::after { + margin-top: 0; + position: absolute; + right: 0.625em; + top: 0.625em; + transform: none; } + html.theme--documenter-dark .select.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after { + font-size: 0.85em; } + html.theme--documenter-dark .select.is-loading.is-medium:after { + font-size: 1.25rem; } + html.theme--documenter-dark .select.is-loading.is-large:after { + font-size: 1.5rem; } + html.theme--documenter-dark .file { + align-items: stretch; + display: flex; + justify-content: flex-start; + position: relative; } + html.theme--documenter-dark .file.is-white .file-cta { + background-color: white; + border-color: transparent; + color: #0a0a0a; } + html.theme--documenter-dark .file.is-white:hover .file-cta, html.theme--documenter-dark .file.is-white.is-hovered .file-cta { + background-color: #f9f9f9; + border-color: transparent; + color: #0a0a0a; } + html.theme--documenter-dark .file.is-white:focus .file-cta, html.theme--documenter-dark .file.is-white.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25); + color: #0a0a0a; } + html.theme--documenter-dark .file.is-white:active .file-cta, html.theme--documenter-dark .file.is-white.is-active .file-cta { + background-color: #f2f2f2; + border-color: transparent; + color: #0a0a0a; } + html.theme--documenter-dark .file.is-black .file-cta { + background-color: #0a0a0a; + border-color: transparent; + color: white; } + html.theme--documenter-dark .file.is-black:hover .file-cta, html.theme--documenter-dark .file.is-black.is-hovered .file-cta { + background-color: #040404; + border-color: transparent; + color: white; } + html.theme--documenter-dark .file.is-black:focus .file-cta, html.theme--documenter-dark .file.is-black.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25); + color: white; } + html.theme--documenter-dark .file.is-black:active .file-cta, html.theme--documenter-dark .file.is-black.is-active .file-cta { + background-color: black; + border-color: transparent; + color: white; } + html.theme--documenter-dark .file.is-light .file-cta { + background-color: #ecf0f1; + border-color: transparent; + color: #282f2f; } + html.theme--documenter-dark .file.is-light:hover .file-cta, html.theme--documenter-dark .file.is-light.is-hovered .file-cta { + background-color: #e5eaec; + border-color: transparent; + color: #282f2f; } + html.theme--documenter-dark .file.is-light:focus .file-cta, html.theme--documenter-dark .file.is-light.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(236, 240, 241, 0.25); + color: #282f2f; } + html.theme--documenter-dark .file.is-light:active .file-cta, html.theme--documenter-dark .file.is-light.is-active .file-cta { + background-color: #dde4e6; + border-color: transparent; + color: #282f2f; } + html.theme--documenter-dark .file.is-dark .file-cta, html.theme--documenter-dark .content kbd.file .file-cta { + background-color: #282f2f; + border-color: transparent; + color: #ecf0f1; } + html.theme--documenter-dark .file.is-dark:hover .file-cta, html.theme--documenter-dark .content kbd.file:hover .file-cta, html.theme--documenter-dark .file.is-dark.is-hovered .file-cta, html.theme--documenter-dark .content kbd.file.is-hovered .file-cta { + background-color: #232829; + border-color: transparent; + color: #ecf0f1; } + html.theme--documenter-dark .file.is-dark:focus .file-cta, html.theme--documenter-dark .content kbd.file:focus .file-cta, html.theme--documenter-dark .file.is-dark.is-focused .file-cta, html.theme--documenter-dark .content kbd.file.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(40, 47, 47, 0.25); + color: #ecf0f1; } + html.theme--documenter-dark .file.is-dark:active .file-cta, html.theme--documenter-dark .content kbd.file:active .file-cta, html.theme--documenter-dark .file.is-dark.is-active .file-cta, html.theme--documenter-dark .content kbd.file.is-active .file-cta { + background-color: #1d2122; + border-color: transparent; + color: #ecf0f1; } + html.theme--documenter-dark .file.is-primary .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink .file-cta { + background-color: #375a7f; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-primary:hover .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:hover .file-cta, html.theme--documenter-dark .file.is-primary.is-hovered .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta { + background-color: #335476; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-primary:focus .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:focus .file-cta, html.theme--documenter-dark .file.is-primary.is-focused .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-focused.docs-sourcelink .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(55, 90, 127, 0.25); + color: #fff; } + html.theme--documenter-dark .file.is-primary:active .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:active .file-cta, html.theme--documenter-dark .file.is-primary.is-active .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-active.docs-sourcelink .file-cta { + background-color: #2f4d6d; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-link .file-cta { + background-color: #1abc9c; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-link:hover .file-cta, html.theme--documenter-dark .file.is-link.is-hovered .file-cta { + background-color: #18b193; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-link:focus .file-cta, html.theme--documenter-dark .file.is-link.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(26, 188, 156, 0.25); + color: #fff; } + html.theme--documenter-dark .file.is-link:active .file-cta, html.theme--documenter-dark .file.is-link.is-active .file-cta { + background-color: #17a689; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-info .file-cta { + background-color: #024c7d; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-info:hover .file-cta, html.theme--documenter-dark .file.is-info.is-hovered .file-cta { + background-color: #024470; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-info:focus .file-cta, html.theme--documenter-dark .file.is-info.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(2, 76, 125, 0.25); + color: #fff; } + html.theme--documenter-dark .file.is-info:active .file-cta, html.theme--documenter-dark .file.is-info.is-active .file-cta { + background-color: #023d64; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-success .file-cta { + background-color: #008438; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-success:hover .file-cta, html.theme--documenter-dark .file.is-success.is-hovered .file-cta { + background-color: #007733; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-success:focus .file-cta, html.theme--documenter-dark .file.is-success.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(0, 132, 56, 0.25); + color: #fff; } + html.theme--documenter-dark .file.is-success:active .file-cta, html.theme--documenter-dark .file.is-success.is-active .file-cta { + background-color: #006b2d; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-warning .file-cta { + background-color: #ad8100; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-warning:hover .file-cta, html.theme--documenter-dark .file.is-warning.is-hovered .file-cta { + background-color: #a07700; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-warning:focus .file-cta, html.theme--documenter-dark .file.is-warning.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(173, 129, 0, 0.25); + color: #fff; } + html.theme--documenter-dark .file.is-warning:active .file-cta, html.theme--documenter-dark .file.is-warning.is-active .file-cta { + background-color: #946e00; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-danger .file-cta { + background-color: #9e1b0d; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-danger:hover .file-cta, html.theme--documenter-dark .file.is-danger.is-hovered .file-cta { + background-color: #92190c; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-danger:focus .file-cta, html.theme--documenter-dark .file.is-danger.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(158, 27, 13, 0.25); + color: #fff; } + html.theme--documenter-dark .file.is-danger:active .file-cta, html.theme--documenter-dark .file.is-danger.is-active .file-cta { + background-color: #86170b; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.file { + font-size: 0.85em; } + html.theme--documenter-dark .file.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .file.is-medium .file-icon .fa { + font-size: 21px; } + html.theme--documenter-dark .file.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .file.is-large .file-icon .fa { + font-size: 28px; } + html.theme--documenter-dark .file.has-name .file-cta { + border-bottom-right-radius: 0; + border-top-right-radius: 0; } + html.theme--documenter-dark .file.has-name .file-name { + border-bottom-left-radius: 0; + border-top-left-radius: 0; } + html.theme--documenter-dark .file.has-name.is-empty .file-cta { + border-radius: 0.4em; } + html.theme--documenter-dark .file.has-name.is-empty .file-name { + display: none; } + html.theme--documenter-dark .file.is-boxed .file-label { + flex-direction: column; } + html.theme--documenter-dark .file.is-boxed .file-cta { + flex-direction: column; + height: auto; + padding: 1em 3em; } + html.theme--documenter-dark .file.is-boxed .file-name { + border-width: 0 1px 1px; } + html.theme--documenter-dark .file.is-boxed .file-icon { + height: 1.5em; + width: 1.5em; } + html.theme--documenter-dark .file.is-boxed .file-icon .fa { + font-size: 21px; } + html.theme--documenter-dark .file.is-boxed.is-small .file-icon .fa, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa { + font-size: 14px; } + html.theme--documenter-dark .file.is-boxed.is-medium .file-icon .fa { + font-size: 28px; } + html.theme--documenter-dark .file.is-boxed.is-large .file-icon .fa { + font-size: 35px; } + html.theme--documenter-dark .file.is-boxed.has-name .file-cta { + border-radius: 0.4em 0.4em 0 0; } + html.theme--documenter-dark .file.is-boxed.has-name .file-name { + border-radius: 0 0 0.4em 0.4em; + border-width: 0 1px 1px; } + html.theme--documenter-dark .file.is-centered { + justify-content: center; } + html.theme--documenter-dark .file.is-fullwidth .file-label { + width: 100%; } + html.theme--documenter-dark .file.is-fullwidth .file-name { + flex-grow: 1; + max-width: none; } + html.theme--documenter-dark .file.is-right { + justify-content: flex-end; } + html.theme--documenter-dark .file.is-right .file-cta { + border-radius: 0 0.4em 0.4em 0; } + html.theme--documenter-dark .file.is-right .file-name { + border-radius: 0.4em 0 0 0.4em; + border-width: 1px 0 1px 1px; + order: -1; } + html.theme--documenter-dark .file-label { + align-items: stretch; + display: flex; + cursor: pointer; + justify-content: flex-start; + overflow: hidden; + position: relative; } + html.theme--documenter-dark .file-label:hover .file-cta { + background-color: #e5eaec; + color: #282f2f; } + html.theme--documenter-dark .file-label:hover .file-name { + border-color: #596668; } + html.theme--documenter-dark .file-label:active .file-cta { + background-color: #dde4e6; + color: #282f2f; } + html.theme--documenter-dark .file-label:active .file-name { + border-color: #535f61; } + html.theme--documenter-dark .file-input { + height: 100%; + left: 0; + opacity: 0; + outline: none; + position: absolute; + top: 0; + width: 100%; } + html.theme--documenter-dark .file-cta, + html.theme--documenter-dark .file-name { + border-color: #5e6d6f; + border-radius: 0.4em; + font-size: 1em; + padding-left: 1em; + padding-right: 1em; + white-space: nowrap; } + html.theme--documenter-dark .file-cta { + background-color: #ecf0f1; + color: #343c3d; } + html.theme--documenter-dark .file-name { + border-color: #5e6d6f; + border-style: solid; + border-width: 1px 1px 1px 0; + display: block; + max-width: 16em; + overflow: hidden; + text-align: left; + text-overflow: ellipsis; } + html.theme--documenter-dark .file-icon { + align-items: center; + display: flex; + height: 1em; + justify-content: center; + margin-right: 0.5em; + width: 1em; } + html.theme--documenter-dark .file-icon .fa { + font-size: 14px; } + html.theme--documenter-dark .label { + color: #282f2f; + display: block; + font-size: 15px; + font-weight: 700; } + html.theme--documenter-dark .label:not(:last-child) { + margin-bottom: 0.5em; } + html.theme--documenter-dark .label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.label { + font-size: 0.85em; } + html.theme--documenter-dark .label.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .label.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .help { + display: block; + font-size: 0.85em; + margin-top: 0.25rem; } + html.theme--documenter-dark .help.is-white { + color: white; } + html.theme--documenter-dark .help.is-black { + color: #0a0a0a; } + html.theme--documenter-dark .help.is-light { + color: #ecf0f1; } + html.theme--documenter-dark .help.is-dark, html.theme--documenter-dark .content kbd.help { + color: #282f2f; } + html.theme--documenter-dark .help.is-primary, html.theme--documenter-dark .docstring > section > a.help.docs-sourcelink { + color: #375a7f; } + html.theme--documenter-dark .help.is-link { + color: #1abc9c; } + html.theme--documenter-dark .help.is-info { + color: #024c7d; } + html.theme--documenter-dark .help.is-success { + color: #008438; } + html.theme--documenter-dark .help.is-warning { + color: #ad8100; } + html.theme--documenter-dark .help.is-danger { + color: #9e1b0d; } + html.theme--documenter-dark .field:not(:last-child) { + margin-bottom: 0.75rem; } + html.theme--documenter-dark .field.has-addons { + display: flex; + justify-content: flex-start; } + html.theme--documenter-dark .field.has-addons .control:not(:last-child) { + margin-right: -1px; } + html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .button, + html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .input, + html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input, + html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .select select { + border-radius: 0; } + html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .button, + html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .input, + html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input, + html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .select select { + border-bottom-right-radius: 0; + border-top-right-radius: 0; } + html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .button, + html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .input, + html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input, + html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .select select { + border-bottom-left-radius: 0; + border-top-left-radius: 0; } + html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button.is-hovered:not([disabled]), + html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):hover, + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover, + html.theme--documenter-dark .field.has-addons .control .input.is-hovered:not([disabled]), + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]), + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]), + html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):hover, + html.theme--documenter-dark .field.has-addons .control .select select.is-hovered:not([disabled]) { + z-index: 2; } + html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]), html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]), + html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus, + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus, + html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]), + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]), + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]), + html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active, + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active, + html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]), + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]), + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]), + html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus, + html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]), + html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active, + html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]) { + z-index: 3; } + html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus:hover, html.theme--documenter-dark .field.has-addons .control .button.is-focused:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active:hover, html.theme--documenter-dark .field.has-addons .control .button.is-active:not([disabled]):hover, + html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus:hover, + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover, + html.theme--documenter-dark .field.has-addons .control .input.is-focused:not([disabled]):hover, + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover, + html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active:hover, + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover, + html.theme--documenter-dark .field.has-addons .control .input.is-active:not([disabled]):hover, + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover, + html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus:hover, + html.theme--documenter-dark .field.has-addons .control .select select.is-focused:not([disabled]):hover, + html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active:hover, + html.theme--documenter-dark .field.has-addons .control .select select.is-active:not([disabled]):hover { + z-index: 4; } + html.theme--documenter-dark .field.has-addons .control.is-expanded { + flex-grow: 1; + flex-shrink: 1; } + html.theme--documenter-dark .field.has-addons.has-addons-centered { + justify-content: center; } + html.theme--documenter-dark .field.has-addons.has-addons-right { + justify-content: flex-end; } + html.theme--documenter-dark .field.has-addons.has-addons-fullwidth .control { + flex-grow: 1; + flex-shrink: 0; } + html.theme--documenter-dark .field.is-grouped { + display: flex; + justify-content: flex-start; } + html.theme--documenter-dark .field.is-grouped > .control { + flex-shrink: 0; } + html.theme--documenter-dark .field.is-grouped > .control:not(:last-child) { + margin-bottom: 0; + margin-right: 0.75rem; } + html.theme--documenter-dark .field.is-grouped > .control.is-expanded { + flex-grow: 1; + flex-shrink: 1; } + html.theme--documenter-dark .field.is-grouped.is-grouped-centered { + justify-content: center; } + html.theme--documenter-dark .field.is-grouped.is-grouped-right { + justify-content: flex-end; } + html.theme--documenter-dark .field.is-grouped.is-grouped-multiline { + flex-wrap: wrap; } + html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:last-child, html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:not(:last-child) { + margin-bottom: 0.75rem; } + html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:last-child { + margin-bottom: -0.75rem; } + html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:not(:last-child) { + margin-bottom: 0; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .field.is-horizontal { + display: flex; } } + html.theme--documenter-dark .field-label .label { + font-size: inherit; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .field-label { + margin-bottom: 0.5rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .field-label { + flex-basis: 0; + flex-grow: 1; + flex-shrink: 0; + margin-right: 1.5rem; + text-align: right; } + html.theme--documenter-dark .field-label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.field-label { + font-size: 0.85em; + padding-top: 0.375em; } + html.theme--documenter-dark .field-label.is-normal { + padding-top: 0.375em; } + html.theme--documenter-dark .field-label.is-medium { + font-size: 1.25rem; + padding-top: 0.375em; } + html.theme--documenter-dark .field-label.is-large { + font-size: 1.5rem; + padding-top: 0.375em; } } + html.theme--documenter-dark .field-body .field .field { + margin-bottom: 0; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .field-body { + display: flex; + flex-basis: 0; + flex-grow: 5; + flex-shrink: 1; } + html.theme--documenter-dark .field-body .field { + margin-bottom: 0; } + html.theme--documenter-dark .field-body > .field { + flex-shrink: 1; } + html.theme--documenter-dark .field-body > .field:not(.is-narrow) { + flex-grow: 1; } + html.theme--documenter-dark .field-body > .field:not(:last-child) { + margin-right: 0.75rem; } } + html.theme--documenter-dark .control { + box-sizing: border-box; + clear: both; + font-size: 15px; + position: relative; + text-align: left; } + html.theme--documenter-dark .control.has-icons-left .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon, + html.theme--documenter-dark .control.has-icons-left .select:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon, + html.theme--documenter-dark .control.has-icons-right .select:focus ~ .icon { + color: #5e6d6f; } + html.theme--documenter-dark .control.has-icons-left .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon, + html.theme--documenter-dark .control.has-icons-left .select.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon, + html.theme--documenter-dark .control.has-icons-right .select.is-small ~ .icon { + font-size: 0.85em; } + html.theme--documenter-dark .control.has-icons-left .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon, + html.theme--documenter-dark .control.has-icons-left .select.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon, + html.theme--documenter-dark .control.has-icons-right .select.is-medium ~ .icon { + font-size: 1.25rem; } + html.theme--documenter-dark .control.has-icons-left .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon, + html.theme--documenter-dark .control.has-icons-left .select.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon, + html.theme--documenter-dark .control.has-icons-right .select.is-large ~ .icon { + font-size: 1.5rem; } + html.theme--documenter-dark .control.has-icons-left .icon, html.theme--documenter-dark .control.has-icons-right .icon { + color: #dbdee0; + height: 2.25em; + pointer-events: none; + position: absolute; + top: 0; + width: 2.25em; + z-index: 4; } + html.theme--documenter-dark .control.has-icons-left .input, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input, + html.theme--documenter-dark .control.has-icons-left .select select { + padding-left: 2.25em; } + html.theme--documenter-dark .control.has-icons-left .icon.is-left { + left: 0; } + html.theme--documenter-dark .control.has-icons-right .input, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input, + html.theme--documenter-dark .control.has-icons-right .select select { + padding-right: 2.25em; } + html.theme--documenter-dark .control.has-icons-right .icon.is-right { + right: 0; } + html.theme--documenter-dark .control.is-loading::after { + position: absolute !important; + right: 0.625em; + top: 0.625em; + z-index: 4; } + html.theme--documenter-dark .control.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-loading:after { + font-size: 0.85em; } + html.theme--documenter-dark .control.is-loading.is-medium:after { + font-size: 1.25rem; } + html.theme--documenter-dark .control.is-loading.is-large:after { + font-size: 1.5rem; } + html.theme--documenter-dark .breadcrumb { + font-size: 15px; + white-space: nowrap; } + html.theme--documenter-dark .breadcrumb a { + align-items: center; + color: #1abc9c; + display: flex; + justify-content: center; + padding: 0 0.75em; } + html.theme--documenter-dark .breadcrumb a:hover { + color: #1dd2af; } + html.theme--documenter-dark .breadcrumb li { + align-items: center; + display: flex; } + html.theme--documenter-dark .breadcrumb li:first-child a { + padding-left: 0; } + html.theme--documenter-dark .breadcrumb li.is-active a { + color: #f2f2f2; + cursor: default; + pointer-events: none; } + html.theme--documenter-dark .breadcrumb li + li::before { + color: #8c9b9d; + content: "\0002f"; } + html.theme--documenter-dark .breadcrumb ul, + html.theme--documenter-dark .breadcrumb ol { + align-items: flex-start; + display: flex; + flex-wrap: wrap; + justify-content: flex-start; } + html.theme--documenter-dark .breadcrumb .icon:first-child { + margin-right: 0.5em; } + html.theme--documenter-dark .breadcrumb .icon:last-child { + margin-left: 0.5em; } + html.theme--documenter-dark .breadcrumb.is-centered ol, + html.theme--documenter-dark .breadcrumb.is-centered ul { + justify-content: center; } + html.theme--documenter-dark .breadcrumb.is-right ol, + html.theme--documenter-dark .breadcrumb.is-right ul { + justify-content: flex-end; } + html.theme--documenter-dark .breadcrumb.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.breadcrumb { + font-size: 0.85em; } + html.theme--documenter-dark .breadcrumb.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .breadcrumb.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .breadcrumb.has-arrow-separator li + li::before { + content: "\02192"; } + html.theme--documenter-dark .breadcrumb.has-bullet-separator li + li::before { + content: "\02022"; } + html.theme--documenter-dark .breadcrumb.has-dot-separator li + li::before { + content: "\000b7"; } + html.theme--documenter-dark .breadcrumb.has-succeeds-separator li + li::before { + content: "\0227B"; } + html.theme--documenter-dark .card { + background-color: white; + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); + color: #fff; + max-width: 100%; + position: relative; } + html.theme--documenter-dark .card-header { + background-color: transparent; + align-items: stretch; + box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1); + display: flex; } + html.theme--documenter-dark .card-header-title { + align-items: center; + color: #f2f2f2; + display: flex; + flex-grow: 1; + font-weight: 700; + padding: 0.75rem; } + html.theme--documenter-dark .card-header-title.is-centered { + justify-content: center; } + html.theme--documenter-dark .card-header-icon { + align-items: center; + cursor: pointer; + display: flex; + justify-content: center; + padding: 0.75rem; } + html.theme--documenter-dark .card-image { + display: block; + position: relative; } + html.theme--documenter-dark .card-content { + background-color: transparent; + padding: 1.5rem; } + html.theme--documenter-dark .card-footer { + background-color: transparent; + border-top: 1px solid #5e6d6f; + align-items: stretch; + display: flex; } + html.theme--documenter-dark .card-footer-item { + align-items: center; + display: flex; + flex-basis: 0; + flex-grow: 1; + flex-shrink: 0; + justify-content: center; + padding: 0.75rem; } + html.theme--documenter-dark .card-footer-item:not(:last-child) { + border-right: 1px solid #5e6d6f; } + html.theme--documenter-dark .card .media:not(:last-child) { + margin-bottom: 1.5rem; } + html.theme--documenter-dark .dropdown { + display: inline-flex; + position: relative; + vertical-align: top; } + html.theme--documenter-dark .dropdown.is-active .dropdown-menu, html.theme--documenter-dark .dropdown.is-hoverable:hover .dropdown-menu { + display: block; } + html.theme--documenter-dark .dropdown.is-right .dropdown-menu { + left: auto; + right: 0; } + html.theme--documenter-dark .dropdown.is-up .dropdown-menu { + bottom: 100%; + padding-bottom: 4px; + padding-top: initial; + top: auto; } + html.theme--documenter-dark .dropdown-menu { + display: none; + left: 0; + min-width: 12rem; + padding-top: 4px; + position: absolute; + top: 100%; + z-index: 20; } + html.theme--documenter-dark .dropdown-content { + background-color: #282f2f; + border-radius: 0.4em; + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); + padding-bottom: 0.5rem; + padding-top: 0.5rem; } + html.theme--documenter-dark .dropdown-item { + color: #fff; + display: block; + font-size: 0.875rem; + line-height: 1.5; + padding: 0.375rem 1rem; + position: relative; } + html.theme--documenter-dark a.dropdown-item, + html.theme--documenter-dark button.dropdown-item { + padding-right: 3rem; + text-align: left; + white-space: nowrap; + width: 100%; } + html.theme--documenter-dark a.dropdown-item:hover, + html.theme--documenter-dark button.dropdown-item:hover { + background-color: #282f2f; + color: #0a0a0a; } + html.theme--documenter-dark a.dropdown-item.is-active, + html.theme--documenter-dark button.dropdown-item.is-active { + background-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .dropdown-divider { + background-color: #5e6d6f; + border: none; + display: block; + height: 1px; + margin: 0.5rem 0; } + html.theme--documenter-dark .level { + align-items: center; + justify-content: space-between; } + html.theme--documenter-dark .level code { + border-radius: 0.4em; } + html.theme--documenter-dark .level img { + display: inline-block; + vertical-align: top; } + html.theme--documenter-dark .level.is-mobile { + display: flex; } + html.theme--documenter-dark .level.is-mobile .level-left, + html.theme--documenter-dark .level.is-mobile .level-right { + display: flex; } + html.theme--documenter-dark .level.is-mobile .level-left + .level-right { + margin-top: 0; } + html.theme--documenter-dark .level.is-mobile .level-item:not(:last-child) { + margin-bottom: 0; + margin-right: 0.75rem; } + html.theme--documenter-dark .level.is-mobile .level-item:not(.is-narrow) { + flex-grow: 1; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .level { + display: flex; } + html.theme--documenter-dark .level > .level-item:not(.is-narrow) { + flex-grow: 1; } } + html.theme--documenter-dark .level-item { + align-items: center; + display: flex; + flex-basis: auto; + flex-grow: 0; + flex-shrink: 0; + justify-content: center; } + html.theme--documenter-dark .level-item .title, + html.theme--documenter-dark .level-item .subtitle { + margin-bottom: 0; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .level-item:not(:last-child) { + margin-bottom: 0.75rem; } } + html.theme--documenter-dark .level-left, + html.theme--documenter-dark .level-right { + flex-basis: auto; + flex-grow: 0; + flex-shrink: 0; } + html.theme--documenter-dark .level-left .level-item.is-flexible, + html.theme--documenter-dark .level-right .level-item.is-flexible { + flex-grow: 1; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .level-left .level-item:not(:last-child), + html.theme--documenter-dark .level-right .level-item:not(:last-child) { + margin-right: 0.75rem; } } + html.theme--documenter-dark .level-left { + align-items: center; + justify-content: flex-start; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .level-left + .level-right { + margin-top: 1.5rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .level-left { + display: flex; } } + html.theme--documenter-dark .level-right { + align-items: center; + justify-content: flex-end; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .level-right { + display: flex; } } + html.theme--documenter-dark .list { + background-color: white; + border-radius: 0.4em; + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .list-item { + display: block; + padding: 0.5em 1em; } + html.theme--documenter-dark .list-item:not(a) { + color: #fff; } + html.theme--documenter-dark .list-item:first-child { + border-top-left-radius: 0.4em; + border-top-right-radius: 0.4em; } + html.theme--documenter-dark .list-item:last-child { + border-bottom-left-radius: 0.4em; + border-bottom-right-radius: 0.4em; } + html.theme--documenter-dark .list-item:not(:last-child) { + border-bottom: 1px solid #5e6d6f; } + html.theme--documenter-dark .list-item.is-active { + background-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark a.list-item { + background-color: #282f2f; + cursor: pointer; } + html.theme--documenter-dark .media { + align-items: flex-start; + display: flex; + text-align: left; } + html.theme--documenter-dark .media .content:not(:last-child) { + margin-bottom: 0.75rem; } + html.theme--documenter-dark .media .media { + border-top: 1px solid rgba(94, 109, 111, 0.5); + display: flex; + padding-top: 0.75rem; } + html.theme--documenter-dark .media .media .content:not(:last-child), + html.theme--documenter-dark .media .media .control:not(:last-child) { + margin-bottom: 0.5rem; } + html.theme--documenter-dark .media .media .media { + padding-top: 0.5rem; } + html.theme--documenter-dark .media .media .media + .media { + margin-top: 0.5rem; } + html.theme--documenter-dark .media + .media { + border-top: 1px solid rgba(94, 109, 111, 0.5); + margin-top: 1rem; + padding-top: 1rem; } + html.theme--documenter-dark .media.is-large + .media { + margin-top: 1.5rem; + padding-top: 1.5rem; } + html.theme--documenter-dark .media-left, + html.theme--documenter-dark .media-right { + flex-basis: auto; + flex-grow: 0; + flex-shrink: 0; } + html.theme--documenter-dark .media-left { + margin-right: 1rem; } + html.theme--documenter-dark .media-right { + margin-left: 1rem; } + html.theme--documenter-dark .media-content { + flex-basis: auto; + flex-grow: 1; + flex-shrink: 1; + text-align: left; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .media-content { + overflow-x: auto; } } + html.theme--documenter-dark .menu { + font-size: 15px; } + html.theme--documenter-dark .menu.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.menu { + font-size: 0.85em; } + html.theme--documenter-dark .menu.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .menu.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .menu-list { + line-height: 1.25; } + html.theme--documenter-dark .menu-list a { + border-radius: 3px; + color: #fff; + display: block; + padding: 0.5em 0.75em; } + html.theme--documenter-dark .menu-list a:hover { + background-color: #282f2f; + color: #f2f2f2; } + html.theme--documenter-dark .menu-list a.is-active { + background-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .menu-list li ul { + border-left: 1px solid #5e6d6f; + margin: 0.75em; + padding-left: 0.75em; } + html.theme--documenter-dark .menu-label { + color: white; + font-size: 0.75em; + letter-spacing: 0.1em; + text-transform: uppercase; } + html.theme--documenter-dark .menu-label:not(:first-child) { + margin-top: 1em; } + html.theme--documenter-dark .menu-label:not(:last-child) { + margin-bottom: 1em; } + html.theme--documenter-dark .message { + background-color: #282f2f; + border-radius: 0.4em; + font-size: 15px; } + html.theme--documenter-dark .message strong { + color: currentColor; } + html.theme--documenter-dark .message a:not(.button):not(.tag):not(.dropdown-item) { + color: currentColor; + text-decoration: underline; } + html.theme--documenter-dark .message.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.message { + font-size: 0.85em; } + html.theme--documenter-dark .message.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .message.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .message.is-white { + background-color: white; } + html.theme--documenter-dark .message.is-white .message-header { + background-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .message.is-white .message-body { + border-color: white; + color: #4d4d4d; } + html.theme--documenter-dark .message.is-black { + background-color: #fafafa; } + html.theme--documenter-dark .message.is-black .message-header { + background-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .message.is-black .message-body { + border-color: #0a0a0a; + color: #090909; } + html.theme--documenter-dark .message.is-light { + background-color: #f9fafb; } + html.theme--documenter-dark .message.is-light .message-header { + background-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .message.is-light .message-body { + border-color: #ecf0f1; + color: #505050; } + html.theme--documenter-dark .message.is-dark, html.theme--documenter-dark .content kbd.message { + background-color: #f9fafa; } + html.theme--documenter-dark .message.is-dark .message-header, html.theme--documenter-dark .content kbd.message .message-header { + background-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .message.is-dark .message-body, html.theme--documenter-dark .content kbd.message .message-body { + border-color: #282f2f; + color: #212526; } + html.theme--documenter-dark .message.is-primary, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink { + background-color: #f8fafc; } + html.theme--documenter-dark .message.is-primary .message-header, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-header { + background-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .message.is-primary .message-body, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-body { + border-color: #375a7f; + color: #2b4159; } + html.theme--documenter-dark .message.is-link { + background-color: #f6fefc; } + html.theme--documenter-dark .message.is-link .message-header { + background-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .message.is-link .message-body { + border-color: #1abc9c; + color: #0b2f28; } + html.theme--documenter-dark .message.is-info { + background-color: #f5fbff; } + html.theme--documenter-dark .message.is-info .message-header { + background-color: #024c7d; + color: #fff; } + html.theme--documenter-dark .message.is-info .message-body { + border-color: #024c7d; + color: #033659; } + html.theme--documenter-dark .message.is-success { + background-color: #f5fff9; } + html.theme--documenter-dark .message.is-success .message-header { + background-color: #008438; + color: #fff; } + html.theme--documenter-dark .message.is-success .message-body { + border-color: #008438; + color: #023518; } + html.theme--documenter-dark .message.is-warning { + background-color: #fffcf5; } + html.theme--documenter-dark .message.is-warning .message-header { + background-color: #ad8100; + color: #fff; } + html.theme--documenter-dark .message.is-warning .message-body { + border-color: #ad8100; + color: #3d2e03; } + html.theme--documenter-dark .message.is-danger { + background-color: #fef6f6; } + html.theme--documenter-dark .message.is-danger .message-header { + background-color: #9e1b0d; + color: #fff; } + html.theme--documenter-dark .message.is-danger .message-body { + border-color: #9e1b0d; + color: #7a170c; } + html.theme--documenter-dark .message-header { + align-items: center; + background-color: #fff; + border-radius: 0.4em 0.4em 0 0; + color: rgba(0, 0, 0, 0.7); + display: flex; + font-weight: 700; + justify-content: space-between; + line-height: 1.25; + padding: 0.75em 1em; + position: relative; } + html.theme--documenter-dark .message-header .delete { + flex-grow: 0; + flex-shrink: 0; + margin-left: 0.75em; } + html.theme--documenter-dark .message-header + .message-body { + border-width: 0; + border-top-left-radius: 0; + border-top-right-radius: 0; } + html.theme--documenter-dark .message-body { + border-color: #5e6d6f; + border-radius: 0.4em; + border-style: solid; + border-width: 0 0 0 4px; + color: #fff; + padding: 1.25em 1.5em; } + html.theme--documenter-dark .message-body code, + html.theme--documenter-dark .message-body pre { + background-color: white; } + html.theme--documenter-dark .message-body pre code { + background-color: transparent; } + html.theme--documenter-dark .modal { + align-items: center; + display: none; + flex-direction: column; + justify-content: center; + overflow: hidden; + position: fixed; + z-index: 40; } + html.theme--documenter-dark .modal.is-active { + display: flex; } + html.theme--documenter-dark .modal-background { + background-color: rgba(10, 10, 10, 0.86); } + html.theme--documenter-dark .modal-content, + html.theme--documenter-dark .modal-card { + margin: 0 20px; + max-height: calc(100vh - 160px); + overflow: auto; + position: relative; + width: 100%; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .modal-content, + html.theme--documenter-dark .modal-card { + margin: 0 auto; + max-height: calc(100vh - 40px); + width: 640px; } } + html.theme--documenter-dark .modal-close { + background: none; + height: 40px; + position: fixed; + right: 20px; + top: 20px; + width: 40px; } + html.theme--documenter-dark .modal-card { + display: flex; + flex-direction: column; + max-height: calc(100vh - 40px); + overflow: hidden; + -ms-overflow-y: visible; } + html.theme--documenter-dark .modal-card-head, + html.theme--documenter-dark .modal-card-foot { + align-items: center; + background-color: #282f2f; + display: flex; + flex-shrink: 0; + justify-content: flex-start; + padding: 20px; + position: relative; } + html.theme--documenter-dark .modal-card-head { + border-bottom: 1px solid #5e6d6f; + border-top-left-radius: 8px; + border-top-right-radius: 8px; } + html.theme--documenter-dark .modal-card-title { + color: #f2f2f2; + flex-grow: 1; + flex-shrink: 0; + font-size: 1.5rem; + line-height: 1; } + html.theme--documenter-dark .modal-card-foot { + border-bottom-left-radius: 8px; + border-bottom-right-radius: 8px; + border-top: 1px solid #5e6d6f; } + html.theme--documenter-dark .modal-card-foot .button:not(:last-child) { + margin-right: 0.5em; } + html.theme--documenter-dark .modal-card-body { + -webkit-overflow-scrolling: touch; + background-color: white; + flex-grow: 1; + flex-shrink: 1; + overflow: auto; + padding: 20px; } + html.theme--documenter-dark .navbar { + background-color: #375a7f; + min-height: 4rem; + position: relative; + z-index: 30; } + html.theme--documenter-dark .navbar.is-white { + background-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .navbar.is-white .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link { + color: #0a0a0a; } + html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link.is-active { + background-color: #f2f2f2; + color: #0a0a0a; } + html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link::after { + border-color: #0a0a0a; } + html.theme--documenter-dark .navbar.is-white .navbar-burger { + color: #0a0a0a; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-white .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-white .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link { + color: #0a0a0a; } + html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link.is-active { + background-color: #f2f2f2; + color: #0a0a0a; } + html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link::after { + border-color: #0a0a0a; } + html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #f2f2f2; + color: #0a0a0a; } + html.theme--documenter-dark .navbar.is-white .navbar-dropdown a.navbar-item.is-active { + background-color: white; + color: #0a0a0a; } } + html.theme--documenter-dark .navbar.is-black { + background-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .navbar.is-black .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link { + color: white; } + html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link.is-active { + background-color: black; + color: white; } + html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link::after { + border-color: white; } + html.theme--documenter-dark .navbar.is-black .navbar-burger { + color: white; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-black .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-black .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link { + color: white; } + html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link.is-active { + background-color: black; + color: white; } + html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link::after { + border-color: white; } + html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link { + background-color: black; + color: white; } + html.theme--documenter-dark .navbar.is-black .navbar-dropdown a.navbar-item.is-active { + background-color: #0a0a0a; + color: white; } } + html.theme--documenter-dark .navbar.is-light { + background-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .navbar.is-light .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link { + color: #282f2f; } + html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link.is-active { + background-color: #dde4e6; + color: #282f2f; } + html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link::after { + border-color: #282f2f; } + html.theme--documenter-dark .navbar.is-light .navbar-burger { + color: #282f2f; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-light .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-light .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link { + color: #282f2f; } + html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link.is-active { + background-color: #dde4e6; + color: #282f2f; } + html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link::after { + border-color: #282f2f; } + html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #dde4e6; + color: #282f2f; } + html.theme--documenter-dark .navbar.is-light .navbar-dropdown a.navbar-item.is-active { + background-color: #ecf0f1; + color: #282f2f; } } + html.theme--documenter-dark .navbar.is-dark, html.theme--documenter-dark .content kbd.navbar { + background-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .navbar.is-dark .navbar-brand > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link, + html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link { + color: #ecf0f1; } + html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link.is-active, + html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link.is-active { + background-color: #1d2122; + color: #ecf0f1; } + html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link::after { + border-color: #ecf0f1; } + html.theme--documenter-dark .navbar.is-dark .navbar-burger, html.theme--documenter-dark .content kbd.navbar .navbar-burger { + color: #ecf0f1; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-dark .navbar-start > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link, + html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-dark .navbar-end > .navbar-item, + html.theme--documenter-dark .content kbd.navbar .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link, + html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link { + color: #ecf0f1; } + html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:focus, + html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:hover, + html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:focus, + html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:hover, + html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link.is-active, + html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link.is-active { + background-color: #1d2122; + color: #ecf0f1; } + html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link::after, + html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link::after { + border-color: #ecf0f1; } + html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link, + html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #1d2122; + color: #ecf0f1; } + html.theme--documenter-dark .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-dropdown a.navbar-item.is-active { + background-color: #282f2f; + color: #ecf0f1; } } + html.theme--documenter-dark .navbar.is-primary, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink { + background-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .navbar.is-primary .navbar-brand > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link.is-active, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active { + background-color: #2f4d6d; + color: #fff; } + html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-primary .navbar-burger, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-primary .navbar-start > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-primary .navbar-end > .navbar-item, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:focus, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:hover, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:focus, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:hover, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link.is-active, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active { + background-color: #2f4d6d; + color: #fff; } + html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link::after, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #2f4d6d; + color: #fff; } + html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active { + background-color: #375a7f; + color: #fff; } } + html.theme--documenter-dark .navbar.is-link { + background-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .navbar.is-link .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link.is-active { + background-color: #17a689; + color: #fff; } + html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-link .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-link .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-link .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link.is-active { + background-color: #17a689; + color: #fff; } + html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #17a689; + color: #fff; } + html.theme--documenter-dark .navbar.is-link .navbar-dropdown a.navbar-item.is-active { + background-color: #1abc9c; + color: #fff; } } + html.theme--documenter-dark .navbar.is-info { + background-color: #024c7d; + color: #fff; } + html.theme--documenter-dark .navbar.is-info .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link.is-active { + background-color: #023d64; + color: #fff; } + html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-info .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-info .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-info .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link.is-active { + background-color: #023d64; + color: #fff; } + html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #023d64; + color: #fff; } + html.theme--documenter-dark .navbar.is-info .navbar-dropdown a.navbar-item.is-active { + background-color: #024c7d; + color: #fff; } } + html.theme--documenter-dark .navbar.is-success { + background-color: #008438; + color: #fff; } + html.theme--documenter-dark .navbar.is-success .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link.is-active { + background-color: #006b2d; + color: #fff; } + html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-success .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-success .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-success .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link.is-active { + background-color: #006b2d; + color: #fff; } + html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #006b2d; + color: #fff; } + html.theme--documenter-dark .navbar.is-success .navbar-dropdown a.navbar-item.is-active { + background-color: #008438; + color: #fff; } } + html.theme--documenter-dark .navbar.is-warning { + background-color: #ad8100; + color: #fff; } + html.theme--documenter-dark .navbar.is-warning .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link.is-active { + background-color: #946e00; + color: #fff; } + html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-warning .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-warning .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-warning .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link.is-active { + background-color: #946e00; + color: #fff; } + html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #946e00; + color: #fff; } + html.theme--documenter-dark .navbar.is-warning .navbar-dropdown a.navbar-item.is-active { + background-color: #ad8100; + color: #fff; } } + html.theme--documenter-dark .navbar.is-danger { + background-color: #9e1b0d; + color: #fff; } + html.theme--documenter-dark .navbar.is-danger .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link.is-active { + background-color: #86170b; + color: #fff; } + html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-danger .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-danger .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-danger .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link.is-active { + background-color: #86170b; + color: #fff; } + html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #86170b; + color: #fff; } + html.theme--documenter-dark .navbar.is-danger .navbar-dropdown a.navbar-item.is-active { + background-color: #9e1b0d; + color: #fff; } } + html.theme--documenter-dark .navbar > .container { + align-items: stretch; + display: flex; + min-height: 4rem; + width: 100%; } + html.theme--documenter-dark .navbar.has-shadow { + box-shadow: 0 2px 0 0 #282f2f; } + html.theme--documenter-dark .navbar.is-fixed-bottom, html.theme--documenter-dark .navbar.is-fixed-top { + left: 0; + position: fixed; + right: 0; + z-index: 30; } + html.theme--documenter-dark .navbar.is-fixed-bottom { + bottom: 0; } + html.theme--documenter-dark .navbar.is-fixed-bottom.has-shadow { + box-shadow: 0 -2px 0 0 #282f2f; } + html.theme--documenter-dark .navbar.is-fixed-top { + top: 0; } + html.theme--documenter-dark html.has-navbar-fixed-top, + html.theme--documenter-dark body.has-navbar-fixed-top { + padding-top: 4rem; } + html.theme--documenter-dark html.has-navbar-fixed-bottom, + html.theme--documenter-dark body.has-navbar-fixed-bottom { + padding-bottom: 4rem; } + html.theme--documenter-dark .navbar-brand, + html.theme--documenter-dark .navbar-tabs { + align-items: stretch; + display: flex; + flex-shrink: 0; + min-height: 4rem; } + html.theme--documenter-dark .navbar-brand a.navbar-item:focus, html.theme--documenter-dark .navbar-brand a.navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .navbar-tabs { + -webkit-overflow-scrolling: touch; + max-width: 100vw; + overflow-x: auto; + overflow-y: hidden; } + html.theme--documenter-dark .navbar-burger { + color: #fff; + cursor: pointer; + display: block; + height: 4rem; + position: relative; + width: 4rem; + margin-left: auto; } + html.theme--documenter-dark .navbar-burger span { + background-color: currentColor; + display: block; + height: 1px; + left: calc(50% - 8px); + position: absolute; + transform-origin: center; + transition-duration: 86ms; + transition-property: background-color, opacity, transform; + transition-timing-function: ease-out; + width: 16px; } + html.theme--documenter-dark .navbar-burger span:nth-child(1) { + top: calc(50% - 6px); } + html.theme--documenter-dark .navbar-burger span:nth-child(2) { + top: calc(50% - 1px); } + html.theme--documenter-dark .navbar-burger span:nth-child(3) { + top: calc(50% + 4px); } + html.theme--documenter-dark .navbar-burger:hover { + background-color: rgba(0, 0, 0, 0.05); } + html.theme--documenter-dark .navbar-burger.is-active span:nth-child(1) { + transform: translateY(5px) rotate(45deg); } + html.theme--documenter-dark .navbar-burger.is-active span:nth-child(2) { + opacity: 0; } + html.theme--documenter-dark .navbar-burger.is-active span:nth-child(3) { + transform: translateY(-5px) rotate(-45deg); } + html.theme--documenter-dark .navbar-menu { + display: none; } + html.theme--documenter-dark .navbar-item, + html.theme--documenter-dark .navbar-link { + color: #fff; + display: block; + line-height: 1.5; + padding: 0.5rem 0.75rem; + position: relative; } + html.theme--documenter-dark .navbar-item .icon:only-child, + html.theme--documenter-dark .navbar-link .icon:only-child { + margin-left: -0.25rem; + margin-right: -0.25rem; } + html.theme--documenter-dark a.navbar-item, + html.theme--documenter-dark .navbar-link { + cursor: pointer; } + html.theme--documenter-dark a.navbar-item:focus, html.theme--documenter-dark a.navbar-item:focus-within, html.theme--documenter-dark a.navbar-item:hover, html.theme--documenter-dark a.navbar-item.is-active, + html.theme--documenter-dark .navbar-link:focus, + html.theme--documenter-dark .navbar-link:focus-within, + html.theme--documenter-dark .navbar-link:hover, + html.theme--documenter-dark .navbar-link.is-active { + background-color: transparent; + color: #1abc9c; } + html.theme--documenter-dark .navbar-item { + display: block; + flex-grow: 0; + flex-shrink: 0; } + html.theme--documenter-dark .navbar-item img { + max-height: 1.75rem; } + html.theme--documenter-dark .navbar-item.has-dropdown { + padding: 0; } + html.theme--documenter-dark .navbar-item.is-expanded { + flex-grow: 1; + flex-shrink: 1; } + html.theme--documenter-dark .navbar-item.is-tab { + border-bottom: 1px solid transparent; + min-height: 4rem; + padding-bottom: calc(0.5rem - 1px); } + html.theme--documenter-dark .navbar-item.is-tab:focus, html.theme--documenter-dark .navbar-item.is-tab:hover { + background-color: transparent; + border-bottom-color: #1abc9c; } + html.theme--documenter-dark .navbar-item.is-tab.is-active { + background-color: transparent; + border-bottom-color: #1abc9c; + border-bottom-style: solid; + border-bottom-width: 3px; + color: #1abc9c; + padding-bottom: calc(0.5rem - 3px); } + html.theme--documenter-dark .navbar-content { + flex-grow: 1; + flex-shrink: 1; } + html.theme--documenter-dark .navbar-link:not(.is-arrowless) { + padding-right: 2.5em; } + html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after { + border-color: #fff; + margin-top: -0.375em; + right: 1.125em; } + html.theme--documenter-dark .navbar-dropdown { + font-size: 0.875rem; + padding-bottom: 0.5rem; + padding-top: 0.5rem; } + html.theme--documenter-dark .navbar-dropdown .navbar-item { + padding-left: 1.5rem; + padding-right: 1.5rem; } + html.theme--documenter-dark .navbar-divider { + background-color: rgba(0, 0, 0, 0.2); + border: none; + display: none; + height: 2px; + margin: 0.5rem 0; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .navbar > .container { + display: block; } + html.theme--documenter-dark .navbar-brand .navbar-item, + html.theme--documenter-dark .navbar-tabs .navbar-item { + align-items: center; + display: flex; } + html.theme--documenter-dark .navbar-link::after { + display: none; } + html.theme--documenter-dark .navbar-menu { + background-color: #375a7f; + box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1); + padding: 0.5rem 0; } + html.theme--documenter-dark .navbar-menu.is-active { + display: block; } + html.theme--documenter-dark .navbar.is-fixed-bottom-touch, html.theme--documenter-dark .navbar.is-fixed-top-touch { + left: 0; + position: fixed; + right: 0; + z-index: 30; } + html.theme--documenter-dark .navbar.is-fixed-bottom-touch { + bottom: 0; } + html.theme--documenter-dark .navbar.is-fixed-bottom-touch.has-shadow { + box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .navbar.is-fixed-top-touch { + top: 0; } + html.theme--documenter-dark .navbar.is-fixed-top .navbar-menu, html.theme--documenter-dark .navbar.is-fixed-top-touch .navbar-menu { + -webkit-overflow-scrolling: touch; + max-height: calc(100vh - 4rem); + overflow: auto; } + html.theme--documenter-dark html.has-navbar-fixed-top-touch, + html.theme--documenter-dark body.has-navbar-fixed-top-touch { + padding-top: 4rem; } + html.theme--documenter-dark html.has-navbar-fixed-bottom-touch, + html.theme--documenter-dark body.has-navbar-fixed-bottom-touch { + padding-bottom: 4rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar, + html.theme--documenter-dark .navbar-menu, + html.theme--documenter-dark .navbar-start, + html.theme--documenter-dark .navbar-end { + align-items: stretch; + display: flex; } + html.theme--documenter-dark .navbar { + min-height: 4rem; } + html.theme--documenter-dark .navbar.is-spaced { + padding: 1rem 2rem; } + html.theme--documenter-dark .navbar.is-spaced .navbar-start, + html.theme--documenter-dark .navbar.is-spaced .navbar-end { + align-items: center; } + html.theme--documenter-dark .navbar.is-spaced a.navbar-item, + html.theme--documenter-dark .navbar.is-spaced .navbar-link { + border-radius: 0.4em; } + html.theme--documenter-dark .navbar.is-transparent a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent a.navbar-item:hover, html.theme--documenter-dark .navbar.is-transparent a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-transparent .navbar-link:focus, + html.theme--documenter-dark .navbar.is-transparent .navbar-link:hover, + html.theme--documenter-dark .navbar.is-transparent .navbar-link.is-active { + background-color: transparent !important; } + html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link { + background-color: transparent !important; } + html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:hover { + background-color: transparent; + color: #dbdee0; } + html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active { + background-color: transparent; + color: #1abc9c; } + html.theme--documenter-dark .navbar-burger { + display: none; } + html.theme--documenter-dark .navbar-item, + html.theme--documenter-dark .navbar-link { + align-items: center; + display: flex; } + html.theme--documenter-dark .navbar-item { + display: flex; } + html.theme--documenter-dark .navbar-item.has-dropdown { + align-items: stretch; } + html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-link::after { + transform: rotate(135deg) translate(0.25em, -0.25em); } + html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-dropdown { + border-bottom: 1px solid rgba(0, 0, 0, 0.2); + border-radius: 8px 8px 0 0; + border-top: none; + bottom: 100%; + box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1); + top: auto; } + html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown { + display: block; } + .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed { + opacity: 1; + pointer-events: auto; + transform: translateY(0); } + html.theme--documenter-dark .navbar-menu { + flex-grow: 1; + flex-shrink: 0; } + html.theme--documenter-dark .navbar-start { + justify-content: flex-start; + margin-right: auto; } + html.theme--documenter-dark .navbar-end { + justify-content: flex-end; + margin-left: auto; } + html.theme--documenter-dark .navbar-dropdown { + background-color: #375a7f; + border-bottom-left-radius: 8px; + border-bottom-right-radius: 8px; + border-top: 1px solid rgba(0, 0, 0, 0.2); + box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1); + display: none; + font-size: 0.875rem; + left: 0; + min-width: 100%; + position: absolute; + top: 100%; + z-index: 20; } + html.theme--documenter-dark .navbar-dropdown .navbar-item { + padding: 0.375rem 1rem; + white-space: nowrap; } + html.theme--documenter-dark .navbar-dropdown a.navbar-item { + padding-right: 3rem; } + html.theme--documenter-dark .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar-dropdown a.navbar-item:hover { + background-color: transparent; + color: #dbdee0; } + html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active { + background-color: transparent; + color: #1abc9c; } + .navbar.is-spaced html.theme--documenter-dark .navbar-dropdown, html.theme--documenter-dark .navbar-dropdown.is-boxed { + border-radius: 8px; + border-top: none; + box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); + display: block; + opacity: 0; + pointer-events: none; + top: calc(100% + (-4px)); + transform: translateY(-5px); + transition-duration: 86ms; + transition-property: opacity, transform; } + html.theme--documenter-dark .navbar-dropdown.is-right { + left: auto; + right: 0; } + html.theme--documenter-dark .navbar-divider { + display: block; } + html.theme--documenter-dark .navbar > .container .navbar-brand, + html.theme--documenter-dark .container > .navbar .navbar-brand { + margin-left: -.75rem; } + html.theme--documenter-dark .navbar > .container .navbar-menu, + html.theme--documenter-dark .container > .navbar .navbar-menu { + margin-right: -.75rem; } + html.theme--documenter-dark .navbar.is-fixed-bottom-desktop, html.theme--documenter-dark .navbar.is-fixed-top-desktop { + left: 0; + position: fixed; + right: 0; + z-index: 30; } + html.theme--documenter-dark .navbar.is-fixed-bottom-desktop { + bottom: 0; } + html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow { + box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .navbar.is-fixed-top-desktop { + top: 0; } + html.theme--documenter-dark html.has-navbar-fixed-top-desktop, + html.theme--documenter-dark body.has-navbar-fixed-top-desktop { + padding-top: 4rem; } + html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop, + html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop { + padding-bottom: 4rem; } + html.theme--documenter-dark html.has-spaced-navbar-fixed-top, + html.theme--documenter-dark body.has-spaced-navbar-fixed-top { + padding-top: 6rem; } + html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom, + html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom { + padding-bottom: 6rem; } + html.theme--documenter-dark a.navbar-item.is-active, + html.theme--documenter-dark .navbar-link.is-active { + color: #1abc9c; } + html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover), + html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover) { + background-color: transparent; } + html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link { + background-color: transparent; } } + html.theme--documenter-dark .hero.is-fullheight-with-navbar { + min-height: calc(100vh - 4rem); } + html.theme--documenter-dark .pagination { + font-size: 15px; + margin: -0.25rem; } + html.theme--documenter-dark .pagination.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination { + font-size: 0.85em; } + html.theme--documenter-dark .pagination.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .pagination.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .pagination.is-rounded .pagination-previous, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous, + html.theme--documenter-dark .pagination.is-rounded .pagination-next, + html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next { + padding-left: 1em; + padding-right: 1em; + border-radius: 290486px; } + html.theme--documenter-dark .pagination.is-rounded .pagination-link, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link { + border-radius: 290486px; } + html.theme--documenter-dark .pagination, + html.theme--documenter-dark .pagination-list { + align-items: center; + display: flex; + justify-content: center; + text-align: center; } + html.theme--documenter-dark .pagination-previous, + html.theme--documenter-dark .pagination-next, + html.theme--documenter-dark .pagination-link, + html.theme--documenter-dark .pagination-ellipsis { + font-size: 1em; + justify-content: center; + margin: 0.25rem; + padding-left: 0.5em; + padding-right: 0.5em; + text-align: center; } + html.theme--documenter-dark .pagination-previous, + html.theme--documenter-dark .pagination-next, + html.theme--documenter-dark .pagination-link { + border-color: #5e6d6f; + color: #1abc9c; + min-width: 2.25em; } + html.theme--documenter-dark .pagination-previous:hover, + html.theme--documenter-dark .pagination-next:hover, + html.theme--documenter-dark .pagination-link:hover { + border-color: #8c9b9d; + color: #1dd2af; } + html.theme--documenter-dark .pagination-previous:focus, + html.theme--documenter-dark .pagination-next:focus, + html.theme--documenter-dark .pagination-link:focus { + border-color: #8c9b9d; } + html.theme--documenter-dark .pagination-previous:active, + html.theme--documenter-dark .pagination-next:active, + html.theme--documenter-dark .pagination-link:active { + box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); } + html.theme--documenter-dark .pagination-previous[disabled], + html.theme--documenter-dark .pagination-next[disabled], + html.theme--documenter-dark .pagination-link[disabled] { + background-color: #dbdee0; + border-color: #dbdee0; + box-shadow: none; + color: #5e6d6f; + opacity: 0.5; } + html.theme--documenter-dark .pagination-previous, + html.theme--documenter-dark .pagination-next { + padding-left: 0.75em; + padding-right: 0.75em; + white-space: nowrap; } + html.theme--documenter-dark .pagination-link.is-current { + background-color: #1abc9c; + border-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .pagination-ellipsis { + color: #8c9b9d; + pointer-events: none; } + html.theme--documenter-dark .pagination-list { + flex-wrap: wrap; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .pagination { + flex-wrap: wrap; } + html.theme--documenter-dark .pagination-previous, + html.theme--documenter-dark .pagination-next { + flex-grow: 1; + flex-shrink: 1; } + html.theme--documenter-dark .pagination-list li { + flex-grow: 1; + flex-shrink: 1; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .pagination-list { + flex-grow: 1; + flex-shrink: 1; + justify-content: flex-start; + order: 1; } + html.theme--documenter-dark .pagination-previous { + order: 2; } + html.theme--documenter-dark .pagination-next { + order: 3; } + html.theme--documenter-dark .pagination { + justify-content: space-between; } + html.theme--documenter-dark .pagination.is-centered .pagination-previous { + order: 1; } + html.theme--documenter-dark .pagination.is-centered .pagination-list { + justify-content: center; + order: 2; } + html.theme--documenter-dark .pagination.is-centered .pagination-next { + order: 3; } + html.theme--documenter-dark .pagination.is-right .pagination-previous { + order: 1; } + html.theme--documenter-dark .pagination.is-right .pagination-next { + order: 2; } + html.theme--documenter-dark .pagination.is-right .pagination-list { + justify-content: flex-end; + order: 3; } } + html.theme--documenter-dark .panel { + font-size: 15px; } + html.theme--documenter-dark .panel:not(:last-child) { + margin-bottom: 1.5rem; } + html.theme--documenter-dark .panel-heading, + html.theme--documenter-dark .panel-tabs, + html.theme--documenter-dark .panel-block { + border-bottom: 1px solid #5e6d6f; + border-left: 1px solid #5e6d6f; + border-right: 1px solid #5e6d6f; } + html.theme--documenter-dark .panel-heading:first-child, + html.theme--documenter-dark .panel-tabs:first-child, + html.theme--documenter-dark .panel-block:first-child { + border-top: 1px solid #5e6d6f; } + html.theme--documenter-dark .panel-heading { + background-color: #282f2f; + border-radius: 0.4em 0.4em 0 0; + color: #f2f2f2; + font-size: 1.25em; + font-weight: 300; + line-height: 1.25; + padding: 0.5em 0.75em; } + html.theme--documenter-dark .panel-tabs { + align-items: flex-end; + display: flex; + font-size: 0.875em; + justify-content: center; } + html.theme--documenter-dark .panel-tabs a { + border-bottom: 1px solid #5e6d6f; + margin-bottom: -1px; + padding: 0.5em; } + html.theme--documenter-dark .panel-tabs a.is-active { + border-bottom-color: #343c3d; + color: #17a689; } + html.theme--documenter-dark .panel-list a { + color: #fff; } + html.theme--documenter-dark .panel-list a:hover { + color: #1abc9c; } + html.theme--documenter-dark .panel-block { + align-items: center; + color: #f2f2f2; + display: flex; + justify-content: flex-start; + padding: 0.5em 0.75em; } + html.theme--documenter-dark .panel-block input[type="checkbox"] { + margin-right: 0.75em; } + html.theme--documenter-dark .panel-block > .control { + flex-grow: 1; + flex-shrink: 1; + width: 100%; } + html.theme--documenter-dark .panel-block.is-wrapped { + flex-wrap: wrap; } + html.theme--documenter-dark .panel-block.is-active { + border-left-color: #1abc9c; + color: #17a689; } + html.theme--documenter-dark .panel-block.is-active .panel-icon { + color: #1abc9c; } + html.theme--documenter-dark a.panel-block, + html.theme--documenter-dark label.panel-block { + cursor: pointer; } + html.theme--documenter-dark a.panel-block:hover, + html.theme--documenter-dark label.panel-block:hover { + background-color: #282f2f; } + html.theme--documenter-dark .panel-icon { + display: inline-block; + font-size: 14px; + height: 1em; + line-height: 1em; + text-align: center; + vertical-align: top; + width: 1em; + color: white; + margin-right: 0.75em; } + html.theme--documenter-dark .panel-icon .fa { + font-size: inherit; + line-height: inherit; } + html.theme--documenter-dark .tabs { + -webkit-overflow-scrolling: touch; + align-items: stretch; + display: flex; + font-size: 15px; + justify-content: space-between; + overflow: hidden; + overflow-x: auto; + white-space: nowrap; } + html.theme--documenter-dark .tabs a { + align-items: center; + border-bottom-color: #5e6d6f; + border-bottom-style: solid; + border-bottom-width: 1px; + color: #fff; + display: flex; + justify-content: center; + margin-bottom: -1px; + padding: 0.5em 1em; + vertical-align: top; } + html.theme--documenter-dark .tabs a:hover { + border-bottom-color: #f2f2f2; + color: #f2f2f2; } + html.theme--documenter-dark .tabs li { + display: block; } + html.theme--documenter-dark .tabs li.is-active a { + border-bottom-color: #1abc9c; + color: #1abc9c; } + html.theme--documenter-dark .tabs ul { + align-items: center; + border-bottom-color: #5e6d6f; + border-bottom-style: solid; + border-bottom-width: 1px; + display: flex; + flex-grow: 1; + flex-shrink: 0; + justify-content: flex-start; } + html.theme--documenter-dark .tabs ul.is-left { + padding-right: 0.75em; } + html.theme--documenter-dark .tabs ul.is-center { + flex: none; + justify-content: center; + padding-left: 0.75em; + padding-right: 0.75em; } + html.theme--documenter-dark .tabs ul.is-right { + justify-content: flex-end; + padding-left: 0.75em; } + html.theme--documenter-dark .tabs .icon:first-child { + margin-right: 0.5em; } + html.theme--documenter-dark .tabs .icon:last-child { + margin-left: 0.5em; } + html.theme--documenter-dark .tabs.is-centered ul { + justify-content: center; } + html.theme--documenter-dark .tabs.is-right ul { + justify-content: flex-end; } + html.theme--documenter-dark .tabs.is-boxed a { + border: 1px solid transparent; + border-radius: 0.4em 0.4em 0 0; } + html.theme--documenter-dark .tabs.is-boxed a:hover { + background-color: #282f2f; + border-bottom-color: #5e6d6f; } + html.theme--documenter-dark .tabs.is-boxed li.is-active a { + background-color: white; + border-color: #5e6d6f; + border-bottom-color: transparent !important; } + html.theme--documenter-dark .tabs.is-fullwidth li { + flex-grow: 1; + flex-shrink: 0; } + html.theme--documenter-dark .tabs.is-toggle a { + border-color: #5e6d6f; + border-style: solid; + border-width: 1px; + margin-bottom: 0; + position: relative; } + html.theme--documenter-dark .tabs.is-toggle a:hover { + background-color: #282f2f; + border-color: #8c9b9d; + z-index: 2; } + html.theme--documenter-dark .tabs.is-toggle li + li { + margin-left: -1px; } + html.theme--documenter-dark .tabs.is-toggle li:first-child a { + border-radius: 0.4em 0 0 0.4em; } + html.theme--documenter-dark .tabs.is-toggle li:last-child a { + border-radius: 0 0.4em 0.4em 0; } + html.theme--documenter-dark .tabs.is-toggle li.is-active a { + background-color: #1abc9c; + border-color: #1abc9c; + color: #fff; + z-index: 1; } + html.theme--documenter-dark .tabs.is-toggle ul { + border-bottom: none; } + html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:first-child a { + border-bottom-left-radius: 290486px; + border-top-left-radius: 290486px; + padding-left: 1.25em; } + html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:last-child a { + border-bottom-right-radius: 290486px; + border-top-right-radius: 290486px; + padding-right: 1.25em; } + html.theme--documenter-dark .tabs.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.tabs { + font-size: 0.85em; } + html.theme--documenter-dark .tabs.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .tabs.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .column { + display: block; + flex-basis: 0; + flex-grow: 1; + flex-shrink: 1; + padding: 0.75rem; } + .columns.is-mobile > html.theme--documenter-dark .column.is-narrow { + flex: none; } + .columns.is-mobile > html.theme--documenter-dark .column.is-full { + flex: none; + width: 100%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-three-quarters { + flex: none; + width: 75%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-two-thirds { + flex: none; + width: 66.6666%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-half { + flex: none; + width: 50%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-one-third { + flex: none; + width: 33.3333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-one-quarter { + flex: none; + width: 25%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-one-fifth { + flex: none; + width: 20%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-two-fifths { + flex: none; + width: 40%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-three-fifths { + flex: none; + width: 60%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-four-fifths { + flex: none; + width: 80%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-quarters { + margin-left: 75%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-thirds { + margin-left: 66.6666%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-half { + margin-left: 50%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-third { + margin-left: 33.3333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-quarter { + margin-left: 25%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-fifth { + margin-left: 20%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-fifths { + margin-left: 40%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-fifths { + margin-left: 60%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-four-fifths { + margin-left: 80%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-0 { + flex: none; + width: 0%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-0 { + margin-left: 0%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-1 { + flex: none; + width: 8.3333333333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-1 { + margin-left: 8.3333333333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-2 { + flex: none; + width: 16.6666666667%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-2 { + margin-left: 16.6666666667%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-3 { + flex: none; + width: 25%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-3 { + margin-left: 25%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-4 { + flex: none; + width: 33.3333333333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-4 { + margin-left: 33.3333333333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-5 { + flex: none; + width: 41.6666666667%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-5 { + margin-left: 41.6666666667%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-6 { + flex: none; + width: 50%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-6 { + margin-left: 50%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-7 { + flex: none; + width: 58.3333333333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-7 { + margin-left: 58.3333333333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-8 { + flex: none; + width: 66.6666666667%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-8 { + margin-left: 66.6666666667%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-9 { + flex: none; + width: 75%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-9 { + margin-left: 75%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-10 { + flex: none; + width: 83.3333333333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-10 { + margin-left: 83.3333333333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-11 { + flex: none; + width: 91.6666666667%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-11 { + margin-left: 91.6666666667%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-12 { + flex: none; + width: 100%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-12 { + margin-left: 100%; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .column.is-narrow-mobile { + flex: none; } + html.theme--documenter-dark .column.is-full-mobile { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-three-quarters-mobile { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-two-thirds-mobile { + flex: none; + width: 66.6666%; } + html.theme--documenter-dark .column.is-half-mobile { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-one-third-mobile { + flex: none; + width: 33.3333%; } + html.theme--documenter-dark .column.is-one-quarter-mobile { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-one-fifth-mobile { + flex: none; + width: 20%; } + html.theme--documenter-dark .column.is-two-fifths-mobile { + flex: none; + width: 40%; } + html.theme--documenter-dark .column.is-three-fifths-mobile { + flex: none; + width: 60%; } + html.theme--documenter-dark .column.is-four-fifths-mobile { + flex: none; + width: 80%; } + html.theme--documenter-dark .column.is-offset-three-quarters-mobile { + margin-left: 75%; } + html.theme--documenter-dark .column.is-offset-two-thirds-mobile { + margin-left: 66.6666%; } + html.theme--documenter-dark .column.is-offset-half-mobile { + margin-left: 50%; } + html.theme--documenter-dark .column.is-offset-one-third-mobile { + margin-left: 33.3333%; } + html.theme--documenter-dark .column.is-offset-one-quarter-mobile { + margin-left: 25%; } + html.theme--documenter-dark .column.is-offset-one-fifth-mobile { + margin-left: 20%; } + html.theme--documenter-dark .column.is-offset-two-fifths-mobile { + margin-left: 40%; } + html.theme--documenter-dark .column.is-offset-three-fifths-mobile { + margin-left: 60%; } + html.theme--documenter-dark .column.is-offset-four-fifths-mobile { + margin-left: 80%; } + html.theme--documenter-dark .column.is-0-mobile { + flex: none; + width: 0%; } + html.theme--documenter-dark .column.is-offset-0-mobile { + margin-left: 0%; } + html.theme--documenter-dark .column.is-1-mobile { + flex: none; + width: 8.3333333333%; } + html.theme--documenter-dark .column.is-offset-1-mobile { + margin-left: 8.3333333333%; } + html.theme--documenter-dark .column.is-2-mobile { + flex: none; + width: 16.6666666667%; } + html.theme--documenter-dark .column.is-offset-2-mobile { + margin-left: 16.6666666667%; } + html.theme--documenter-dark .column.is-3-mobile { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-offset-3-mobile { + margin-left: 25%; } + html.theme--documenter-dark .column.is-4-mobile { + flex: none; + width: 33.3333333333%; } + html.theme--documenter-dark .column.is-offset-4-mobile { + margin-left: 33.3333333333%; } + html.theme--documenter-dark .column.is-5-mobile { + flex: none; + width: 41.6666666667%; } + html.theme--documenter-dark .column.is-offset-5-mobile { + margin-left: 41.6666666667%; } + html.theme--documenter-dark .column.is-6-mobile { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-offset-6-mobile { + margin-left: 50%; } + html.theme--documenter-dark .column.is-7-mobile { + flex: none; + width: 58.3333333333%; } + html.theme--documenter-dark .column.is-offset-7-mobile { + margin-left: 58.3333333333%; } + html.theme--documenter-dark .column.is-8-mobile { + flex: none; + width: 66.6666666667%; } + html.theme--documenter-dark .column.is-offset-8-mobile { + margin-left: 66.6666666667%; } + html.theme--documenter-dark .column.is-9-mobile { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-offset-9-mobile { + margin-left: 75%; } + html.theme--documenter-dark .column.is-10-mobile { + flex: none; + width: 83.3333333333%; } + html.theme--documenter-dark .column.is-offset-10-mobile { + margin-left: 83.3333333333%; } + html.theme--documenter-dark .column.is-11-mobile { + flex: none; + width: 91.6666666667%; } + html.theme--documenter-dark .column.is-offset-11-mobile { + margin-left: 91.6666666667%; } + html.theme--documenter-dark .column.is-12-mobile { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-offset-12-mobile { + margin-left: 100%; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .column.is-narrow, html.theme--documenter-dark .column.is-narrow-tablet { + flex: none; } + html.theme--documenter-dark .column.is-full, html.theme--documenter-dark .column.is-full-tablet { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-three-quarters, html.theme--documenter-dark .column.is-three-quarters-tablet { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-two-thirds, html.theme--documenter-dark .column.is-two-thirds-tablet { + flex: none; + width: 66.6666%; } + html.theme--documenter-dark .column.is-half, html.theme--documenter-dark .column.is-half-tablet { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-one-third, html.theme--documenter-dark .column.is-one-third-tablet { + flex: none; + width: 33.3333%; } + html.theme--documenter-dark .column.is-one-quarter, html.theme--documenter-dark .column.is-one-quarter-tablet { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-one-fifth, html.theme--documenter-dark .column.is-one-fifth-tablet { + flex: none; + width: 20%; } + html.theme--documenter-dark .column.is-two-fifths, html.theme--documenter-dark .column.is-two-fifths-tablet { + flex: none; + width: 40%; } + html.theme--documenter-dark .column.is-three-fifths, html.theme--documenter-dark .column.is-three-fifths-tablet { + flex: none; + width: 60%; } + html.theme--documenter-dark .column.is-four-fifths, html.theme--documenter-dark .column.is-four-fifths-tablet { + flex: none; + width: 80%; } + html.theme--documenter-dark .column.is-offset-three-quarters, html.theme--documenter-dark .column.is-offset-three-quarters-tablet { + margin-left: 75%; } + html.theme--documenter-dark .column.is-offset-two-thirds, html.theme--documenter-dark .column.is-offset-two-thirds-tablet { + margin-left: 66.6666%; } + html.theme--documenter-dark .column.is-offset-half, html.theme--documenter-dark .column.is-offset-half-tablet { + margin-left: 50%; } + html.theme--documenter-dark .column.is-offset-one-third, html.theme--documenter-dark .column.is-offset-one-third-tablet { + margin-left: 33.3333%; } + html.theme--documenter-dark .column.is-offset-one-quarter, html.theme--documenter-dark .column.is-offset-one-quarter-tablet { + margin-left: 25%; } + html.theme--documenter-dark .column.is-offset-one-fifth, html.theme--documenter-dark .column.is-offset-one-fifth-tablet { + margin-left: 20%; } + html.theme--documenter-dark .column.is-offset-two-fifths, html.theme--documenter-dark .column.is-offset-two-fifths-tablet { + margin-left: 40%; } + html.theme--documenter-dark .column.is-offset-three-fifths, html.theme--documenter-dark .column.is-offset-three-fifths-tablet { + margin-left: 60%; } + html.theme--documenter-dark .column.is-offset-four-fifths, html.theme--documenter-dark .column.is-offset-four-fifths-tablet { + margin-left: 80%; } + html.theme--documenter-dark .column.is-0, html.theme--documenter-dark .column.is-0-tablet { + flex: none; + width: 0%; } + html.theme--documenter-dark .column.is-offset-0, html.theme--documenter-dark .column.is-offset-0-tablet { + margin-left: 0%; } + html.theme--documenter-dark .column.is-1, html.theme--documenter-dark .column.is-1-tablet { + flex: none; + width: 8.3333333333%; } + html.theme--documenter-dark .column.is-offset-1, html.theme--documenter-dark .column.is-offset-1-tablet { + margin-left: 8.3333333333%; } + html.theme--documenter-dark .column.is-2, html.theme--documenter-dark .column.is-2-tablet { + flex: none; + width: 16.6666666667%; } + html.theme--documenter-dark .column.is-offset-2, html.theme--documenter-dark .column.is-offset-2-tablet { + margin-left: 16.6666666667%; } + html.theme--documenter-dark .column.is-3, html.theme--documenter-dark .column.is-3-tablet { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-offset-3, html.theme--documenter-dark .column.is-offset-3-tablet { + margin-left: 25%; } + html.theme--documenter-dark .column.is-4, html.theme--documenter-dark .column.is-4-tablet { + flex: none; + width: 33.3333333333%; } + html.theme--documenter-dark .column.is-offset-4, html.theme--documenter-dark .column.is-offset-4-tablet { + margin-left: 33.3333333333%; } + html.theme--documenter-dark .column.is-5, html.theme--documenter-dark .column.is-5-tablet { + flex: none; + width: 41.6666666667%; } + html.theme--documenter-dark .column.is-offset-5, html.theme--documenter-dark .column.is-offset-5-tablet { + margin-left: 41.6666666667%; } + html.theme--documenter-dark .column.is-6, html.theme--documenter-dark .column.is-6-tablet { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-offset-6, html.theme--documenter-dark .column.is-offset-6-tablet { + margin-left: 50%; } + html.theme--documenter-dark .column.is-7, html.theme--documenter-dark .column.is-7-tablet { + flex: none; + width: 58.3333333333%; } + html.theme--documenter-dark .column.is-offset-7, html.theme--documenter-dark .column.is-offset-7-tablet { + margin-left: 58.3333333333%; } + html.theme--documenter-dark .column.is-8, html.theme--documenter-dark .column.is-8-tablet { + flex: none; + width: 66.6666666667%; } + html.theme--documenter-dark .column.is-offset-8, html.theme--documenter-dark .column.is-offset-8-tablet { + margin-left: 66.6666666667%; } + html.theme--documenter-dark .column.is-9, html.theme--documenter-dark .column.is-9-tablet { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-offset-9, html.theme--documenter-dark .column.is-offset-9-tablet { + margin-left: 75%; } + html.theme--documenter-dark .column.is-10, html.theme--documenter-dark .column.is-10-tablet { + flex: none; + width: 83.3333333333%; } + html.theme--documenter-dark .column.is-offset-10, html.theme--documenter-dark .column.is-offset-10-tablet { + margin-left: 83.3333333333%; } + html.theme--documenter-dark .column.is-11, html.theme--documenter-dark .column.is-11-tablet { + flex: none; + width: 91.6666666667%; } + html.theme--documenter-dark .column.is-offset-11, html.theme--documenter-dark .column.is-offset-11-tablet { + margin-left: 91.6666666667%; } + html.theme--documenter-dark .column.is-12, html.theme--documenter-dark .column.is-12-tablet { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-offset-12, html.theme--documenter-dark .column.is-offset-12-tablet { + margin-left: 100%; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .column.is-narrow-touch { + flex: none; } + html.theme--documenter-dark .column.is-full-touch { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-three-quarters-touch { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-two-thirds-touch { + flex: none; + width: 66.6666%; } + html.theme--documenter-dark .column.is-half-touch { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-one-third-touch { + flex: none; + width: 33.3333%; } + html.theme--documenter-dark .column.is-one-quarter-touch { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-one-fifth-touch { + flex: none; + width: 20%; } + html.theme--documenter-dark .column.is-two-fifths-touch { + flex: none; + width: 40%; } + html.theme--documenter-dark .column.is-three-fifths-touch { + flex: none; + width: 60%; } + html.theme--documenter-dark .column.is-four-fifths-touch { + flex: none; + width: 80%; } + html.theme--documenter-dark .column.is-offset-three-quarters-touch { + margin-left: 75%; } + html.theme--documenter-dark .column.is-offset-two-thirds-touch { + margin-left: 66.6666%; } + html.theme--documenter-dark .column.is-offset-half-touch { + margin-left: 50%; } + html.theme--documenter-dark .column.is-offset-one-third-touch { + margin-left: 33.3333%; } + html.theme--documenter-dark .column.is-offset-one-quarter-touch { + margin-left: 25%; } + html.theme--documenter-dark .column.is-offset-one-fifth-touch { + margin-left: 20%; } + html.theme--documenter-dark .column.is-offset-two-fifths-touch { + margin-left: 40%; } + html.theme--documenter-dark .column.is-offset-three-fifths-touch { + margin-left: 60%; } + html.theme--documenter-dark .column.is-offset-four-fifths-touch { + margin-left: 80%; } + html.theme--documenter-dark .column.is-0-touch { + flex: none; + width: 0%; } + html.theme--documenter-dark .column.is-offset-0-touch { + margin-left: 0%; } + html.theme--documenter-dark .column.is-1-touch { + flex: none; + width: 8.3333333333%; } + html.theme--documenter-dark .column.is-offset-1-touch { + margin-left: 8.3333333333%; } + html.theme--documenter-dark .column.is-2-touch { + flex: none; + width: 16.6666666667%; } + html.theme--documenter-dark .column.is-offset-2-touch { + margin-left: 16.6666666667%; } + html.theme--documenter-dark .column.is-3-touch { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-offset-3-touch { + margin-left: 25%; } + html.theme--documenter-dark .column.is-4-touch { + flex: none; + width: 33.3333333333%; } + html.theme--documenter-dark .column.is-offset-4-touch { + margin-left: 33.3333333333%; } + html.theme--documenter-dark .column.is-5-touch { + flex: none; + width: 41.6666666667%; } + html.theme--documenter-dark .column.is-offset-5-touch { + margin-left: 41.6666666667%; } + html.theme--documenter-dark .column.is-6-touch { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-offset-6-touch { + margin-left: 50%; } + html.theme--documenter-dark .column.is-7-touch { + flex: none; + width: 58.3333333333%; } + html.theme--documenter-dark .column.is-offset-7-touch { + margin-left: 58.3333333333%; } + html.theme--documenter-dark .column.is-8-touch { + flex: none; + width: 66.6666666667%; } + html.theme--documenter-dark .column.is-offset-8-touch { + margin-left: 66.6666666667%; } + html.theme--documenter-dark .column.is-9-touch { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-offset-9-touch { + margin-left: 75%; } + html.theme--documenter-dark .column.is-10-touch { + flex: none; + width: 83.3333333333%; } + html.theme--documenter-dark .column.is-offset-10-touch { + margin-left: 83.3333333333%; } + html.theme--documenter-dark .column.is-11-touch { + flex: none; + width: 91.6666666667%; } + html.theme--documenter-dark .column.is-offset-11-touch { + margin-left: 91.6666666667%; } + html.theme--documenter-dark .column.is-12-touch { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-offset-12-touch { + margin-left: 100%; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .column.is-narrow-desktop { + flex: none; } + html.theme--documenter-dark .column.is-full-desktop { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-three-quarters-desktop { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-two-thirds-desktop { + flex: none; + width: 66.6666%; } + html.theme--documenter-dark .column.is-half-desktop { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-one-third-desktop { + flex: none; + width: 33.3333%; } + html.theme--documenter-dark .column.is-one-quarter-desktop { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-one-fifth-desktop { + flex: none; + width: 20%; } + html.theme--documenter-dark .column.is-two-fifths-desktop { + flex: none; + width: 40%; } + html.theme--documenter-dark .column.is-three-fifths-desktop { + flex: none; + width: 60%; } + html.theme--documenter-dark .column.is-four-fifths-desktop { + flex: none; + width: 80%; } + html.theme--documenter-dark .column.is-offset-three-quarters-desktop { + margin-left: 75%; } + html.theme--documenter-dark .column.is-offset-two-thirds-desktop { + margin-left: 66.6666%; } + html.theme--documenter-dark .column.is-offset-half-desktop { + margin-left: 50%; } + html.theme--documenter-dark .column.is-offset-one-third-desktop { + margin-left: 33.3333%; } + html.theme--documenter-dark .column.is-offset-one-quarter-desktop { + margin-left: 25%; } + html.theme--documenter-dark .column.is-offset-one-fifth-desktop { + margin-left: 20%; } + html.theme--documenter-dark .column.is-offset-two-fifths-desktop { + margin-left: 40%; } + html.theme--documenter-dark .column.is-offset-three-fifths-desktop { + margin-left: 60%; } + html.theme--documenter-dark .column.is-offset-four-fifths-desktop { + margin-left: 80%; } + html.theme--documenter-dark .column.is-0-desktop { + flex: none; + width: 0%; } + html.theme--documenter-dark .column.is-offset-0-desktop { + margin-left: 0%; } + html.theme--documenter-dark .column.is-1-desktop { + flex: none; + width: 8.3333333333%; } + html.theme--documenter-dark .column.is-offset-1-desktop { + margin-left: 8.3333333333%; } + html.theme--documenter-dark .column.is-2-desktop { + flex: none; + width: 16.6666666667%; } + html.theme--documenter-dark .column.is-offset-2-desktop { + margin-left: 16.6666666667%; } + html.theme--documenter-dark .column.is-3-desktop { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-offset-3-desktop { + margin-left: 25%; } + html.theme--documenter-dark .column.is-4-desktop { + flex: none; + width: 33.3333333333%; } + html.theme--documenter-dark .column.is-offset-4-desktop { + margin-left: 33.3333333333%; } + html.theme--documenter-dark .column.is-5-desktop { + flex: none; + width: 41.6666666667%; } + html.theme--documenter-dark .column.is-offset-5-desktop { + margin-left: 41.6666666667%; } + html.theme--documenter-dark .column.is-6-desktop { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-offset-6-desktop { + margin-left: 50%; } + html.theme--documenter-dark .column.is-7-desktop { + flex: none; + width: 58.3333333333%; } + html.theme--documenter-dark .column.is-offset-7-desktop { + margin-left: 58.3333333333%; } + html.theme--documenter-dark .column.is-8-desktop { + flex: none; + width: 66.6666666667%; } + html.theme--documenter-dark .column.is-offset-8-desktop { + margin-left: 66.6666666667%; } + html.theme--documenter-dark .column.is-9-desktop { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-offset-9-desktop { + margin-left: 75%; } + html.theme--documenter-dark .column.is-10-desktop { + flex: none; + width: 83.3333333333%; } + html.theme--documenter-dark .column.is-offset-10-desktop { + margin-left: 83.3333333333%; } + html.theme--documenter-dark .column.is-11-desktop { + flex: none; + width: 91.6666666667%; } + html.theme--documenter-dark .column.is-offset-11-desktop { + margin-left: 91.6666666667%; } + html.theme--documenter-dark .column.is-12-desktop { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-offset-12-desktop { + margin-left: 100%; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .column.is-narrow-widescreen { + flex: none; } + html.theme--documenter-dark .column.is-full-widescreen { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-three-quarters-widescreen { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-two-thirds-widescreen { + flex: none; + width: 66.6666%; } + html.theme--documenter-dark .column.is-half-widescreen { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-one-third-widescreen { + flex: none; + width: 33.3333%; } + html.theme--documenter-dark .column.is-one-quarter-widescreen { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-one-fifth-widescreen { + flex: none; + width: 20%; } + html.theme--documenter-dark .column.is-two-fifths-widescreen { + flex: none; + width: 40%; } + html.theme--documenter-dark .column.is-three-fifths-widescreen { + flex: none; + width: 60%; } + html.theme--documenter-dark .column.is-four-fifths-widescreen { + flex: none; + width: 80%; } + html.theme--documenter-dark .column.is-offset-three-quarters-widescreen { + margin-left: 75%; } + html.theme--documenter-dark .column.is-offset-two-thirds-widescreen { + margin-left: 66.6666%; } + html.theme--documenter-dark .column.is-offset-half-widescreen { + margin-left: 50%; } + html.theme--documenter-dark .column.is-offset-one-third-widescreen { + margin-left: 33.3333%; } + html.theme--documenter-dark .column.is-offset-one-quarter-widescreen { + margin-left: 25%; } + html.theme--documenter-dark .column.is-offset-one-fifth-widescreen { + margin-left: 20%; } + html.theme--documenter-dark .column.is-offset-two-fifths-widescreen { + margin-left: 40%; } + html.theme--documenter-dark .column.is-offset-three-fifths-widescreen { + margin-left: 60%; } + html.theme--documenter-dark .column.is-offset-four-fifths-widescreen { + margin-left: 80%; } + html.theme--documenter-dark .column.is-0-widescreen { + flex: none; + width: 0%; } + html.theme--documenter-dark .column.is-offset-0-widescreen { + margin-left: 0%; } + html.theme--documenter-dark .column.is-1-widescreen { + flex: none; + width: 8.3333333333%; } + html.theme--documenter-dark .column.is-offset-1-widescreen { + margin-left: 8.3333333333%; } + html.theme--documenter-dark .column.is-2-widescreen { + flex: none; + width: 16.6666666667%; } + html.theme--documenter-dark .column.is-offset-2-widescreen { + margin-left: 16.6666666667%; } + html.theme--documenter-dark .column.is-3-widescreen { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-offset-3-widescreen { + margin-left: 25%; } + html.theme--documenter-dark .column.is-4-widescreen { + flex: none; + width: 33.3333333333%; } + html.theme--documenter-dark .column.is-offset-4-widescreen { + margin-left: 33.3333333333%; } + html.theme--documenter-dark .column.is-5-widescreen { + flex: none; + width: 41.6666666667%; } + html.theme--documenter-dark .column.is-offset-5-widescreen { + margin-left: 41.6666666667%; } + html.theme--documenter-dark .column.is-6-widescreen { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-offset-6-widescreen { + margin-left: 50%; } + html.theme--documenter-dark .column.is-7-widescreen { + flex: none; + width: 58.3333333333%; } + html.theme--documenter-dark .column.is-offset-7-widescreen { + margin-left: 58.3333333333%; } + html.theme--documenter-dark .column.is-8-widescreen { + flex: none; + width: 66.6666666667%; } + html.theme--documenter-dark .column.is-offset-8-widescreen { + margin-left: 66.6666666667%; } + html.theme--documenter-dark .column.is-9-widescreen { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-offset-9-widescreen { + margin-left: 75%; } + html.theme--documenter-dark .column.is-10-widescreen { + flex: none; + width: 83.3333333333%; } + html.theme--documenter-dark .column.is-offset-10-widescreen { + margin-left: 83.3333333333%; } + html.theme--documenter-dark .column.is-11-widescreen { + flex: none; + width: 91.6666666667%; } + html.theme--documenter-dark .column.is-offset-11-widescreen { + margin-left: 91.6666666667%; } + html.theme--documenter-dark .column.is-12-widescreen { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-offset-12-widescreen { + margin-left: 100%; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .column.is-narrow-fullhd { + flex: none; } + html.theme--documenter-dark .column.is-full-fullhd { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-three-quarters-fullhd { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-two-thirds-fullhd { + flex: none; + width: 66.6666%; } + html.theme--documenter-dark .column.is-half-fullhd { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-one-third-fullhd { + flex: none; + width: 33.3333%; } + html.theme--documenter-dark .column.is-one-quarter-fullhd { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-one-fifth-fullhd { + flex: none; + width: 20%; } + html.theme--documenter-dark .column.is-two-fifths-fullhd { + flex: none; + width: 40%; } + html.theme--documenter-dark .column.is-three-fifths-fullhd { + flex: none; + width: 60%; } + html.theme--documenter-dark .column.is-four-fifths-fullhd { + flex: none; + width: 80%; } + html.theme--documenter-dark .column.is-offset-three-quarters-fullhd { + margin-left: 75%; } + html.theme--documenter-dark .column.is-offset-two-thirds-fullhd { + margin-left: 66.6666%; } + html.theme--documenter-dark .column.is-offset-half-fullhd { + margin-left: 50%; } + html.theme--documenter-dark .column.is-offset-one-third-fullhd { + margin-left: 33.3333%; } + html.theme--documenter-dark .column.is-offset-one-quarter-fullhd { + margin-left: 25%; } + html.theme--documenter-dark .column.is-offset-one-fifth-fullhd { + margin-left: 20%; } + html.theme--documenter-dark .column.is-offset-two-fifths-fullhd { + margin-left: 40%; } + html.theme--documenter-dark .column.is-offset-three-fifths-fullhd { + margin-left: 60%; } + html.theme--documenter-dark .column.is-offset-four-fifths-fullhd { + margin-left: 80%; } + html.theme--documenter-dark .column.is-0-fullhd { + flex: none; + width: 0%; } + html.theme--documenter-dark .column.is-offset-0-fullhd { + margin-left: 0%; } + html.theme--documenter-dark .column.is-1-fullhd { + flex: none; + width: 8.3333333333%; } + html.theme--documenter-dark .column.is-offset-1-fullhd { + margin-left: 8.3333333333%; } + html.theme--documenter-dark .column.is-2-fullhd { + flex: none; + width: 16.6666666667%; } + html.theme--documenter-dark .column.is-offset-2-fullhd { + margin-left: 16.6666666667%; } + html.theme--documenter-dark .column.is-3-fullhd { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-offset-3-fullhd { + margin-left: 25%; } + html.theme--documenter-dark .column.is-4-fullhd { + flex: none; + width: 33.3333333333%; } + html.theme--documenter-dark .column.is-offset-4-fullhd { + margin-left: 33.3333333333%; } + html.theme--documenter-dark .column.is-5-fullhd { + flex: none; + width: 41.6666666667%; } + html.theme--documenter-dark .column.is-offset-5-fullhd { + margin-left: 41.6666666667%; } + html.theme--documenter-dark .column.is-6-fullhd { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-offset-6-fullhd { + margin-left: 50%; } + html.theme--documenter-dark .column.is-7-fullhd { + flex: none; + width: 58.3333333333%; } + html.theme--documenter-dark .column.is-offset-7-fullhd { + margin-left: 58.3333333333%; } + html.theme--documenter-dark .column.is-8-fullhd { + flex: none; + width: 66.6666666667%; } + html.theme--documenter-dark .column.is-offset-8-fullhd { + margin-left: 66.6666666667%; } + html.theme--documenter-dark .column.is-9-fullhd { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-offset-9-fullhd { + margin-left: 75%; } + html.theme--documenter-dark .column.is-10-fullhd { + flex: none; + width: 83.3333333333%; } + html.theme--documenter-dark .column.is-offset-10-fullhd { + margin-left: 83.3333333333%; } + html.theme--documenter-dark .column.is-11-fullhd { + flex: none; + width: 91.6666666667%; } + html.theme--documenter-dark .column.is-offset-11-fullhd { + margin-left: 91.6666666667%; } + html.theme--documenter-dark .column.is-12-fullhd { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-offset-12-fullhd { + margin-left: 100%; } } + html.theme--documenter-dark .columns { + margin-left: -0.75rem; + margin-right: -0.75rem; + margin-top: -0.75rem; } + html.theme--documenter-dark .columns:last-child { + margin-bottom: -0.75rem; } + html.theme--documenter-dark .columns:not(:last-child) { + margin-bottom: calc(1.5rem - 0.75rem); } + html.theme--documenter-dark .columns.is-centered { + justify-content: center; } + html.theme--documenter-dark .columns.is-gapless { + margin-left: 0; + margin-right: 0; + margin-top: 0; } + html.theme--documenter-dark .columns.is-gapless > .column { + margin: 0; + padding: 0 !important; } + html.theme--documenter-dark .columns.is-gapless:not(:last-child) { + margin-bottom: 1.5rem; } + html.theme--documenter-dark .columns.is-gapless:last-child { + margin-bottom: 0; } + html.theme--documenter-dark .columns.is-mobile { + display: flex; } + html.theme--documenter-dark .columns.is-multiline { + flex-wrap: wrap; } + html.theme--documenter-dark .columns.is-vcentered { + align-items: center; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns:not(.is-desktop) { + display: flex; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-desktop { + display: flex; } } + html.theme--documenter-dark .columns.is-variable { + --columnGap: 0.75rem; + margin-left: calc(-1 * var(--columnGap)); + margin-right: calc(-1 * var(--columnGap)); } + html.theme--documenter-dark .columns.is-variable .column { + padding-left: var(--columnGap); + padding-right: var(--columnGap); } + html.theme--documenter-dark .columns.is-variable.is-0 { + --columnGap: 0rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-0-mobile { + --columnGap: 0rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-0-tablet { + --columnGap: 0rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-0-tablet-only { + --columnGap: 0rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-0-touch { + --columnGap: 0rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-0-desktop { + --columnGap: 0rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-0-desktop-only { + --columnGap: 0rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-0-widescreen { + --columnGap: 0rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-0-widescreen-only { + --columnGap: 0rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-0-fullhd { + --columnGap: 0rem; } } + html.theme--documenter-dark .columns.is-variable.is-1 { + --columnGap: 0.25rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-1-mobile { + --columnGap: 0.25rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-1-tablet { + --columnGap: 0.25rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-1-tablet-only { + --columnGap: 0.25rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-1-touch { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-1-desktop { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-1-desktop-only { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-1-widescreen { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-1-widescreen-only { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-1-fullhd { + --columnGap: 0.25rem; } } + html.theme--documenter-dark .columns.is-variable.is-2 { + --columnGap: 0.5rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-2-mobile { + --columnGap: 0.5rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-2-tablet { + --columnGap: 0.5rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-2-tablet-only { + --columnGap: 0.5rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-2-touch { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-2-desktop { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-2-desktop-only { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-2-widescreen { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-2-widescreen-only { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-2-fullhd { + --columnGap: 0.5rem; } } + html.theme--documenter-dark .columns.is-variable.is-3 { + --columnGap: 0.75rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-3-mobile { + --columnGap: 0.75rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-3-tablet { + --columnGap: 0.75rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-3-tablet-only { + --columnGap: 0.75rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-3-touch { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-3-desktop { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-3-desktop-only { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-3-widescreen { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-3-widescreen-only { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-3-fullhd { + --columnGap: 0.75rem; } } + html.theme--documenter-dark .columns.is-variable.is-4 { + --columnGap: 1rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-4-mobile { + --columnGap: 1rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-4-tablet { + --columnGap: 1rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-4-tablet-only { + --columnGap: 1rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-4-touch { + --columnGap: 1rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-4-desktop { + --columnGap: 1rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-4-desktop-only { + --columnGap: 1rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-4-widescreen { + --columnGap: 1rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-4-widescreen-only { + --columnGap: 1rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-4-fullhd { + --columnGap: 1rem; } } + html.theme--documenter-dark .columns.is-variable.is-5 { + --columnGap: 1.25rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-5-mobile { + --columnGap: 1.25rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-5-tablet { + --columnGap: 1.25rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-5-tablet-only { + --columnGap: 1.25rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-5-touch { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-5-desktop { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-5-desktop-only { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-5-widescreen { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-5-widescreen-only { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-5-fullhd { + --columnGap: 1.25rem; } } + html.theme--documenter-dark .columns.is-variable.is-6 { + --columnGap: 1.5rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-6-mobile { + --columnGap: 1.5rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-6-tablet { + --columnGap: 1.5rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-6-tablet-only { + --columnGap: 1.5rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-6-touch { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-6-desktop { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-6-desktop-only { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-6-widescreen { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-6-widescreen-only { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-6-fullhd { + --columnGap: 1.5rem; } } + html.theme--documenter-dark .columns.is-variable.is-7 { + --columnGap: 1.75rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-7-mobile { + --columnGap: 1.75rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-7-tablet { + --columnGap: 1.75rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-7-tablet-only { + --columnGap: 1.75rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-7-touch { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-7-desktop { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-7-desktop-only { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-7-widescreen { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-7-widescreen-only { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-7-fullhd { + --columnGap: 1.75rem; } } + html.theme--documenter-dark .columns.is-variable.is-8 { + --columnGap: 2rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-8-mobile { + --columnGap: 2rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-8-tablet { + --columnGap: 2rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-8-tablet-only { + --columnGap: 2rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-8-touch { + --columnGap: 2rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-8-desktop { + --columnGap: 2rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-8-desktop-only { + --columnGap: 2rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-8-widescreen { + --columnGap: 2rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-8-widescreen-only { + --columnGap: 2rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-8-fullhd { + --columnGap: 2rem; } } + html.theme--documenter-dark .tile { + align-items: stretch; + display: block; + flex-basis: 0; + flex-grow: 1; + flex-shrink: 1; + min-height: min-content; } + html.theme--documenter-dark .tile.is-ancestor { + margin-left: -0.75rem; + margin-right: -0.75rem; + margin-top: -0.75rem; } + html.theme--documenter-dark .tile.is-ancestor:last-child { + margin-bottom: -0.75rem; } + html.theme--documenter-dark .tile.is-ancestor:not(:last-child) { + margin-bottom: 0.75rem; } + html.theme--documenter-dark .tile.is-child { + margin: 0 !important; } + html.theme--documenter-dark .tile.is-parent { + padding: 0.75rem; } + html.theme--documenter-dark .tile.is-vertical { + flex-direction: column; } + html.theme--documenter-dark .tile.is-vertical > .tile.is-child:not(:last-child) { + margin-bottom: 1.5rem !important; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .tile:not(.is-child) { + display: flex; } + html.theme--documenter-dark .tile.is-1 { + flex: none; + width: 8.3333333333%; } + html.theme--documenter-dark .tile.is-2 { + flex: none; + width: 16.6666666667%; } + html.theme--documenter-dark .tile.is-3 { + flex: none; + width: 25%; } + html.theme--documenter-dark .tile.is-4 { + flex: none; + width: 33.3333333333%; } + html.theme--documenter-dark .tile.is-5 { + flex: none; + width: 41.6666666667%; } + html.theme--documenter-dark .tile.is-6 { + flex: none; + width: 50%; } + html.theme--documenter-dark .tile.is-7 { + flex: none; + width: 58.3333333333%; } + html.theme--documenter-dark .tile.is-8 { + flex: none; + width: 66.6666666667%; } + html.theme--documenter-dark .tile.is-9 { + flex: none; + width: 75%; } + html.theme--documenter-dark .tile.is-10 { + flex: none; + width: 83.3333333333%; } + html.theme--documenter-dark .tile.is-11 { + flex: none; + width: 91.6666666667%; } + html.theme--documenter-dark .tile.is-12 { + flex: none; + width: 100%; } } + html.theme--documenter-dark .hero { + align-items: stretch; + display: flex; + flex-direction: column; + justify-content: space-between; } + html.theme--documenter-dark .hero .navbar { + background: none; } + html.theme--documenter-dark .hero .tabs ul { + border-bottom: none; } + html.theme--documenter-dark .hero.is-white { + background-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-white strong { + color: inherit; } + html.theme--documenter-dark .hero.is-white .title { + color: #0a0a0a; } + html.theme--documenter-dark .hero.is-white .subtitle { + color: rgba(10, 10, 10, 0.9); } + html.theme--documenter-dark .hero.is-white .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-white .subtitle strong { + color: #0a0a0a; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-white .navbar-menu { + background-color: white; } } + html.theme--documenter-dark .hero.is-white .navbar-item, + html.theme--documenter-dark .hero.is-white .navbar-link { + color: rgba(10, 10, 10, 0.7); } + html.theme--documenter-dark .hero.is-white a.navbar-item:hover, html.theme--documenter-dark .hero.is-white a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-white .navbar-link:hover, + html.theme--documenter-dark .hero.is-white .navbar-link.is-active { + background-color: #f2f2f2; + color: #0a0a0a; } + html.theme--documenter-dark .hero.is-white .tabs a { + color: #0a0a0a; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-white .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-white .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-white .tabs.is-boxed a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a { + color: #0a0a0a; } + html.theme--documenter-dark .hero.is-white .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a:hover { + background-color: #0a0a0a; + border-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .hero.is-white.is-bold { + background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-white.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } } + html.theme--documenter-dark .hero.is-black { + background-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-black strong { + color: inherit; } + html.theme--documenter-dark .hero.is-black .title { + color: white; } + html.theme--documenter-dark .hero.is-black .subtitle { + color: rgba(255, 255, 255, 0.9); } + html.theme--documenter-dark .hero.is-black .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-black .subtitle strong { + color: white; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-black .navbar-menu { + background-color: #0a0a0a; } } + html.theme--documenter-dark .hero.is-black .navbar-item, + html.theme--documenter-dark .hero.is-black .navbar-link { + color: rgba(255, 255, 255, 0.7); } + html.theme--documenter-dark .hero.is-black a.navbar-item:hover, html.theme--documenter-dark .hero.is-black a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-black .navbar-link:hover, + html.theme--documenter-dark .hero.is-black .navbar-link.is-active { + background-color: black; + color: white; } + html.theme--documenter-dark .hero.is-black .tabs a { + color: white; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-black .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-black .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-black .tabs.is-boxed a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a { + color: white; } + html.theme--documenter-dark .hero.is-black .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a:hover { + background-color: white; + border-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .hero.is-black.is-bold { + background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-black.is-bold .navbar-menu { + background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } } + html.theme--documenter-dark .hero.is-light { + background-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-light strong { + color: inherit; } + html.theme--documenter-dark .hero.is-light .title { + color: #282f2f; } + html.theme--documenter-dark .hero.is-light .subtitle { + color: rgba(40, 47, 47, 0.9); } + html.theme--documenter-dark .hero.is-light .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-light .subtitle strong { + color: #282f2f; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-light .navbar-menu { + background-color: #ecf0f1; } } + html.theme--documenter-dark .hero.is-light .navbar-item, + html.theme--documenter-dark .hero.is-light .navbar-link { + color: rgba(40, 47, 47, 0.7); } + html.theme--documenter-dark .hero.is-light a.navbar-item:hover, html.theme--documenter-dark .hero.is-light a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-light .navbar-link:hover, + html.theme--documenter-dark .hero.is-light .navbar-link.is-active { + background-color: #dde4e6; + color: #282f2f; } + html.theme--documenter-dark .hero.is-light .tabs a { + color: #282f2f; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-light .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-light .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-light .tabs.is-boxed a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a { + color: #282f2f; } + html.theme--documenter-dark .hero.is-light .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a:hover { + background-color: #282f2f; + border-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .hero.is-light.is-bold { + background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-light.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); } } + html.theme--documenter-dark .hero.is-dark, html.theme--documenter-dark .content kbd.hero { + background-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-dark strong, + html.theme--documenter-dark .content kbd.hero strong { + color: inherit; } + html.theme--documenter-dark .hero.is-dark .title, html.theme--documenter-dark .content kbd.hero .title { + color: #ecf0f1; } + html.theme--documenter-dark .hero.is-dark .subtitle, html.theme--documenter-dark .content kbd.hero .subtitle { + color: rgba(236, 240, 241, 0.9); } + html.theme--documenter-dark .hero.is-dark .subtitle a:not(.button), html.theme--documenter-dark .content kbd.hero .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-dark .subtitle strong, + html.theme--documenter-dark .content kbd.hero .subtitle strong { + color: #ecf0f1; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-dark .navbar-menu, html.theme--documenter-dark .content kbd.hero .navbar-menu { + background-color: #282f2f; } } + html.theme--documenter-dark .hero.is-dark .navbar-item, html.theme--documenter-dark .content kbd.hero .navbar-item, + html.theme--documenter-dark .hero.is-dark .navbar-link, + html.theme--documenter-dark .content kbd.hero .navbar-link { + color: rgba(236, 240, 241, 0.7); } + html.theme--documenter-dark .hero.is-dark a.navbar-item:hover, html.theme--documenter-dark .content kbd.hero a.navbar-item:hover, html.theme--documenter-dark .hero.is-dark a.navbar-item.is-active, html.theme--documenter-dark .content kbd.hero a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-dark .navbar-link:hover, + html.theme--documenter-dark .content kbd.hero .navbar-link:hover, + html.theme--documenter-dark .hero.is-dark .navbar-link.is-active, + html.theme--documenter-dark .content kbd.hero .navbar-link.is-active { + background-color: #1d2122; + color: #ecf0f1; } + html.theme--documenter-dark .hero.is-dark .tabs a, html.theme--documenter-dark .content kbd.hero .tabs a { + color: #ecf0f1; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-dark .tabs a:hover, html.theme--documenter-dark .content kbd.hero .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-dark .tabs li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a { + color: #ecf0f1; } + html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a:hover { + background-color: #ecf0f1; + border-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .hero.is-dark.is-bold, html.theme--documenter-dark .content kbd.hero.is-bold { + background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-dark.is-bold .navbar-menu, html.theme--documenter-dark .content kbd.hero.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); } } + html.theme--documenter-dark .hero.is-primary, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink { + background-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-primary strong, + html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink strong { + color: inherit; } + html.theme--documenter-dark .hero.is-primary .title, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .title { + color: #fff; } + html.theme--documenter-dark .hero.is-primary .subtitle, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle { + color: rgba(255, 255, 255, 0.9); } + html.theme--documenter-dark .hero.is-primary .subtitle a:not(.button), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-primary .subtitle strong, + html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-primary .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-menu { + background-color: #375a7f; } } + html.theme--documenter-dark .hero.is-primary .navbar-item, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-item, + html.theme--documenter-dark .hero.is-primary .navbar-link, + html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link { + color: rgba(255, 255, 255, 0.7); } + html.theme--documenter-dark .hero.is-primary a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, html.theme--documenter-dark .hero.is-primary a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-primary .navbar-link:hover, + html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link:hover, + html.theme--documenter-dark .hero.is-primary .navbar-link.is-active, + html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active { + background-color: #2f4d6d; + color: #fff; } + html.theme--documenter-dark .hero.is-primary .tabs a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a { + color: #fff; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-primary .tabs a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-primary .tabs li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a { + color: #fff; } + html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #375a7f; } + html.theme--documenter-dark .hero.is-primary.is-bold, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink { + background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-primary.is-bold .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu { + background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); } } + html.theme--documenter-dark .hero.is-link { + background-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-link strong { + color: inherit; } + html.theme--documenter-dark .hero.is-link .title { + color: #fff; } + html.theme--documenter-dark .hero.is-link .subtitle { + color: rgba(255, 255, 255, 0.9); } + html.theme--documenter-dark .hero.is-link .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-link .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-link .navbar-menu { + background-color: #1abc9c; } } + html.theme--documenter-dark .hero.is-link .navbar-item, + html.theme--documenter-dark .hero.is-link .navbar-link { + color: rgba(255, 255, 255, 0.7); } + html.theme--documenter-dark .hero.is-link a.navbar-item:hover, html.theme--documenter-dark .hero.is-link a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-link .navbar-link:hover, + html.theme--documenter-dark .hero.is-link .navbar-link.is-active { + background-color: #17a689; + color: #fff; } + html.theme--documenter-dark .hero.is-link .tabs a { + color: #fff; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-link .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-link .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-link .tabs.is-boxed a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a { + color: #fff; } + html.theme--documenter-dark .hero.is-link .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #1abc9c; } + html.theme--documenter-dark .hero.is-link.is-bold { + background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-link.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); } } + html.theme--documenter-dark .hero.is-info { + background-color: #024c7d; + color: #fff; } + html.theme--documenter-dark .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-info strong { + color: inherit; } + html.theme--documenter-dark .hero.is-info .title { + color: #fff; } + html.theme--documenter-dark .hero.is-info .subtitle { + color: rgba(255, 255, 255, 0.9); } + html.theme--documenter-dark .hero.is-info .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-info .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-info .navbar-menu { + background-color: #024c7d; } } + html.theme--documenter-dark .hero.is-info .navbar-item, + html.theme--documenter-dark .hero.is-info .navbar-link { + color: rgba(255, 255, 255, 0.7); } + html.theme--documenter-dark .hero.is-info a.navbar-item:hover, html.theme--documenter-dark .hero.is-info a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-info .navbar-link:hover, + html.theme--documenter-dark .hero.is-info .navbar-link.is-active { + background-color: #023d64; + color: #fff; } + html.theme--documenter-dark .hero.is-info .tabs a { + color: #fff; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-info .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-info .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-info .tabs.is-boxed a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a { + color: #fff; } + html.theme--documenter-dark .hero.is-info .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #024c7d; } + html.theme--documenter-dark .hero.is-info.is-bold { + background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-info.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); } } + html.theme--documenter-dark .hero.is-success { + background-color: #008438; + color: #fff; } + html.theme--documenter-dark .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-success strong { + color: inherit; } + html.theme--documenter-dark .hero.is-success .title { + color: #fff; } + html.theme--documenter-dark .hero.is-success .subtitle { + color: rgba(255, 255, 255, 0.9); } + html.theme--documenter-dark .hero.is-success .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-success .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-success .navbar-menu { + background-color: #008438; } } + html.theme--documenter-dark .hero.is-success .navbar-item, + html.theme--documenter-dark .hero.is-success .navbar-link { + color: rgba(255, 255, 255, 0.7); } + html.theme--documenter-dark .hero.is-success a.navbar-item:hover, html.theme--documenter-dark .hero.is-success a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-success .navbar-link:hover, + html.theme--documenter-dark .hero.is-success .navbar-link.is-active { + background-color: #006b2d; + color: #fff; } + html.theme--documenter-dark .hero.is-success .tabs a { + color: #fff; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-success .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-success .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-success .tabs.is-boxed a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a { + color: #fff; } + html.theme--documenter-dark .hero.is-success .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #008438; } + html.theme--documenter-dark .hero.is-success.is-bold { + background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-success.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); } } + html.theme--documenter-dark .hero.is-warning { + background-color: #ad8100; + color: #fff; } + html.theme--documenter-dark .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-warning strong { + color: inherit; } + html.theme--documenter-dark .hero.is-warning .title { + color: #fff; } + html.theme--documenter-dark .hero.is-warning .subtitle { + color: rgba(255, 255, 255, 0.9); } + html.theme--documenter-dark .hero.is-warning .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-warning .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-warning .navbar-menu { + background-color: #ad8100; } } + html.theme--documenter-dark .hero.is-warning .navbar-item, + html.theme--documenter-dark .hero.is-warning .navbar-link { + color: rgba(255, 255, 255, 0.7); } + html.theme--documenter-dark .hero.is-warning a.navbar-item:hover, html.theme--documenter-dark .hero.is-warning a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-warning .navbar-link:hover, + html.theme--documenter-dark .hero.is-warning .navbar-link.is-active { + background-color: #946e00; + color: #fff; } + html.theme--documenter-dark .hero.is-warning .tabs a { + color: #fff; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-warning .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-warning .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a { + color: #fff; } + html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #ad8100; } + html.theme--documenter-dark .hero.is-warning.is-bold { + background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-warning.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); } } + html.theme--documenter-dark .hero.is-danger { + background-color: #9e1b0d; + color: #fff; } + html.theme--documenter-dark .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-danger strong { + color: inherit; } + html.theme--documenter-dark .hero.is-danger .title { + color: #fff; } + html.theme--documenter-dark .hero.is-danger .subtitle { + color: rgba(255, 255, 255, 0.9); } + html.theme--documenter-dark .hero.is-danger .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-danger .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-danger .navbar-menu { + background-color: #9e1b0d; } } + html.theme--documenter-dark .hero.is-danger .navbar-item, + html.theme--documenter-dark .hero.is-danger .navbar-link { + color: rgba(255, 255, 255, 0.7); } + html.theme--documenter-dark .hero.is-danger a.navbar-item:hover, html.theme--documenter-dark .hero.is-danger a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-danger .navbar-link:hover, + html.theme--documenter-dark .hero.is-danger .navbar-link.is-active { + background-color: #86170b; + color: #fff; } + html.theme--documenter-dark .hero.is-danger .tabs a { + color: #fff; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-danger .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-danger .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a { + color: #fff; } + html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #9e1b0d; } + html.theme--documenter-dark .hero.is-danger.is-bold { + background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-danger.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); } } + html.theme--documenter-dark .hero.is-small .hero-body, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.hero .hero-body { + padding-bottom: 1.5rem; + padding-top: 1.5rem; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .hero.is-medium .hero-body { + padding-bottom: 9rem; + padding-top: 9rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .hero.is-large .hero-body { + padding-bottom: 18rem; + padding-top: 18rem; } } + html.theme--documenter-dark .hero.is-halfheight .hero-body, html.theme--documenter-dark .hero.is-fullheight .hero-body, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body { + align-items: center; + display: flex; } + html.theme--documenter-dark .hero.is-halfheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body > .container { + flex-grow: 1; + flex-shrink: 1; } + html.theme--documenter-dark .hero.is-halfheight { + min-height: 50vh; } + html.theme--documenter-dark .hero.is-fullheight { + min-height: 100vh; } + html.theme--documenter-dark .hero-video { + overflow: hidden; } + html.theme--documenter-dark .hero-video video { + left: 50%; + min-height: 100%; + min-width: 100%; + position: absolute; + top: 50%; + transform: translate3d(-50%, -50%, 0); } + html.theme--documenter-dark .hero-video.is-transparent { + opacity: 0.3; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero-video { + display: none; } } + html.theme--documenter-dark .hero-buttons { + margin-top: 1.5rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero-buttons .button { + display: flex; } + html.theme--documenter-dark .hero-buttons .button:not(:last-child) { + margin-bottom: 0.75rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .hero-buttons { + display: flex; + justify-content: center; } + html.theme--documenter-dark .hero-buttons .button:not(:last-child) { + margin-right: 1.5rem; } } + html.theme--documenter-dark .hero-head, + html.theme--documenter-dark .hero-foot { + flex-grow: 0; + flex-shrink: 0; } + html.theme--documenter-dark .hero-body { + flex-grow: 1; + flex-shrink: 0; + padding: 3rem 1.5rem; } + html.theme--documenter-dark .section { + padding: 3rem 1.5rem; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .section.is-medium { + padding: 9rem 1.5rem; } + html.theme--documenter-dark .section.is-large { + padding: 18rem 1.5rem; } } + html.theme--documenter-dark .footer { + background-color: #282f2f; + padding: 3rem 1.5rem 6rem; } + html.theme--documenter-dark hr { + height: 1px; } + html.theme--documenter-dark h6 { + text-transform: uppercase; + letter-spacing: 0.5px; } + html.theme--documenter-dark .hero { + background-color: #343c3d; } + html.theme--documenter-dark a { + transition: all 200ms ease; } + html.theme--documenter-dark .button { + transition: all 200ms ease; + border-width: 1px; + color: white; } + html.theme--documenter-dark .button.is-active, html.theme--documenter-dark .button.is-focused, html.theme--documenter-dark .button:active, html.theme--documenter-dark .button:focus { + box-shadow: 0 0 0 2px rgba(140, 155, 157, 0.5); } + html.theme--documenter-dark .button.is-white.is-hovered, html.theme--documenter-dark .button.is-white:hover { + background-color: white; } + html.theme--documenter-dark .button.is-white.is-active, html.theme--documenter-dark .button.is-white.is-focused, html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white:focus { + border-color: white; + box-shadow: 0 0 0 2px rgba(255, 255, 255, 0.5); } + html.theme--documenter-dark .button.is-black.is-hovered, html.theme--documenter-dark .button.is-black:hover { + background-color: #1d1d1d; } + html.theme--documenter-dark .button.is-black.is-active, html.theme--documenter-dark .button.is-black.is-focused, html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black:focus { + border-color: #0a0a0a; + box-shadow: 0 0 0 2px rgba(10, 10, 10, 0.5); } + html.theme--documenter-dark .button.is-light.is-hovered, html.theme--documenter-dark .button.is-light:hover { + background-color: white; } + html.theme--documenter-dark .button.is-light.is-active, html.theme--documenter-dark .button.is-light.is-focused, html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light:focus { + border-color: #ecf0f1; + box-shadow: 0 0 0 2px rgba(236, 240, 241, 0.5); } + html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered, html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover { + background-color: #3a4344; } + html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused, html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus { + border-color: #282f2f; + box-shadow: 0 0 0 2px rgba(40, 47, 47, 0.5); } + html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover { + background-color: #436d9a; } + html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink, html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus { + border-color: #375a7f; + box-shadow: 0 0 0 2px rgba(55, 90, 127, 0.5); } + html.theme--documenter-dark .button.is-link.is-hovered, html.theme--documenter-dark .button.is-link:hover { + background-color: #1fdeb8; } + html.theme--documenter-dark .button.is-link.is-active, html.theme--documenter-dark .button.is-link.is-focused, html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link:focus { + border-color: #1abc9c; + box-shadow: 0 0 0 2px rgba(26, 188, 156, 0.5); } + html.theme--documenter-dark .button.is-info.is-hovered, html.theme--documenter-dark .button.is-info:hover { + background-color: #0363a3; } + html.theme--documenter-dark .button.is-info.is-active, html.theme--documenter-dark .button.is-info.is-focused, html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info:focus { + border-color: #024c7d; + box-shadow: 0 0 0 2px rgba(2, 76, 125, 0.5); } + html.theme--documenter-dark .button.is-success.is-hovered, html.theme--documenter-dark .button.is-success:hover { + background-color: #00aa48; } + html.theme--documenter-dark .button.is-success.is-active, html.theme--documenter-dark .button.is-success.is-focused, html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success:focus { + border-color: #008438; + box-shadow: 0 0 0 2px rgba(0, 132, 56, 0.5); } + html.theme--documenter-dark .button.is-warning.is-hovered, html.theme--documenter-dark .button.is-warning:hover { + background-color: #d39e00; } + html.theme--documenter-dark .button.is-warning.is-active, html.theme--documenter-dark .button.is-warning.is-focused, html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning:focus { + border-color: #ad8100; + box-shadow: 0 0 0 2px rgba(173, 129, 0, 0.5); } + html.theme--documenter-dark .button.is-danger.is-hovered, html.theme--documenter-dark .button.is-danger:hover { + background-color: #c12110; } + html.theme--documenter-dark .button.is-danger.is-active, html.theme--documenter-dark .button.is-danger.is-focused, html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger:focus { + border-color: #9e1b0d; + box-shadow: 0 0 0 2px rgba(158, 27, 13, 0.5); } + html.theme--documenter-dark .label { + color: #dbdee0; } + html.theme--documenter-dark .button, + html.theme--documenter-dark .control.has-icons-left .icon, + html.theme--documenter-dark .control.has-icons-right .icon, + html.theme--documenter-dark .input, + html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, + html.theme--documenter-dark .pagination-ellipsis, + html.theme--documenter-dark .pagination-link, + html.theme--documenter-dark .pagination-next, + html.theme--documenter-dark .pagination-previous, + html.theme--documenter-dark .select, + html.theme--documenter-dark .select select, + html.theme--documenter-dark .textarea { + height: 2.5em; } + html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, + html.theme--documenter-dark .textarea { + transition: all 200ms ease; + box-shadow: none; + border-width: 1px; + padding-left: 1em; + padding-right: 1em; } + html.theme--documenter-dark .select:after, + html.theme--documenter-dark .select select { + border-width: 1px; } + html.theme--documenter-dark .control.has-addons .button, + html.theme--documenter-dark .control.has-addons .input, + html.theme--documenter-dark .control.has-addons #documenter .docs-sidebar form.docs-search > input, + html.theme--documenter-dark #documenter .docs-sidebar .control.has-addons form.docs-search > input, + html.theme--documenter-dark .control.has-addons .select { + margin-right: -1px; } + html.theme--documenter-dark .notification { + background-color: #343c3d; } + html.theme--documenter-dark .card { + box-shadow: none; + border: 1px solid #343c3d; + background-color: #282f2f; + border-radius: 0.4em; } + html.theme--documenter-dark .card .card-image img { + border-radius: 0.4em 0.4em 0 0; } + html.theme--documenter-dark .card .card-header { + box-shadow: none; + background-color: rgba(18, 18, 18, 0.2); + border-radius: 0.4em 0.4em 0 0; } + html.theme--documenter-dark .card .card-footer { + background-color: rgba(18, 18, 18, 0.2); } + html.theme--documenter-dark .card .card-footer, + html.theme--documenter-dark .card .card-footer-item { + border-width: 1px; + border-color: #343c3d; } + html.theme--documenter-dark .notification.is-white a:not(.button) { + color: #0a0a0a; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-black a:not(.button) { + color: white; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-light a:not(.button) { + color: #282f2f; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-dark a:not(.button), html.theme--documenter-dark .content kbd.notification a:not(.button) { + color: #ecf0f1; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-primary a:not(.button), html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink a:not(.button) { + color: #fff; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-link a:not(.button) { + color: #fff; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-info a:not(.button) { + color: #fff; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-success a:not(.button) { + color: #fff; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-warning a:not(.button) { + color: #fff; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-danger a:not(.button) { + color: #fff; + text-decoration: underline; } + html.theme--documenter-dark .tag, html.theme--documenter-dark .content kbd, html.theme--documenter-dark .docstring > section > a.docs-sourcelink { + border-radius: 0.4em; } + html.theme--documenter-dark .menu-list a { + transition: all 300ms ease; } + html.theme--documenter-dark .modal-card-body { + background-color: #282f2f; } + html.theme--documenter-dark .modal-card-foot, + html.theme--documenter-dark .modal-card-head { + border-color: #343c3d; } + html.theme--documenter-dark .message-header { + font-weight: 700; + background-color: #343c3d; + color: white; } + html.theme--documenter-dark .message-body { + border-width: 1px; + border-color: #343c3d; } + html.theme--documenter-dark .navbar { + border-radius: 0.4em; } + html.theme--documenter-dark .navbar.is-transparent { + background: none; } + html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active { + background-color: #1abc9c; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .navbar .navbar-menu { + background-color: #375a7f; + border-radius: 0 0 0.4em 0.4em; } } + html.theme--documenter-dark .hero .navbar, + html.theme--documenter-dark body > .navbar { + border-radius: 0; } + html.theme--documenter-dark .pagination-link, + html.theme--documenter-dark .pagination-next, + html.theme--documenter-dark .pagination-previous { + border-width: 1px; } + html.theme--documenter-dark .panel-block, + html.theme--documenter-dark .panel-heading, + html.theme--documenter-dark .panel-tabs { + border-width: 1px; } + html.theme--documenter-dark .panel-block:first-child, + html.theme--documenter-dark .panel-heading:first-child, + html.theme--documenter-dark .panel-tabs:first-child { + border-top-width: 1px; } + html.theme--documenter-dark .panel-heading { + font-weight: 700; } + html.theme--documenter-dark .panel-tabs a { + border-width: 1px; + margin-bottom: -1px; } + html.theme--documenter-dark .panel-tabs a.is-active { + border-bottom-color: #17a689; } + html.theme--documenter-dark .panel-block:hover { + color: #1dd2af; } + html.theme--documenter-dark .panel-block:hover .panel-icon { + color: #1dd2af; } + html.theme--documenter-dark .panel-block.is-active .panel-icon { + color: #17a689; } + html.theme--documenter-dark .tabs a { + border-bottom-width: 1px; + margin-bottom: -1px; } + html.theme--documenter-dark .tabs ul { + border-bottom-width: 1px; } + html.theme--documenter-dark .tabs.is-boxed a { + border-width: 1px; } + html.theme--documenter-dark .tabs.is-boxed li.is-active a { + background-color: #1f2424; } + html.theme--documenter-dark .tabs.is-toggle li a { + border-width: 1px; + margin-bottom: 0; } + html.theme--documenter-dark .tabs.is-toggle li + li { + margin-left: -1px; } + html.theme--documenter-dark .hero.is-white .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-black .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-light .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-dark .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .content kbd.hero .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-primary .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-link .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-info .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-success .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-warning .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-danger .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark h1 .docs-heading-anchor, html.theme--documenter-dark h1 .docs-heading-anchor:hover, html.theme--documenter-dark h1 .docs-heading-anchor:visited, html.theme--documenter-dark h2 .docs-heading-anchor, html.theme--documenter-dark h2 .docs-heading-anchor:hover, html.theme--documenter-dark h2 .docs-heading-anchor:visited, html.theme--documenter-dark h3 .docs-heading-anchor, html.theme--documenter-dark h3 .docs-heading-anchor:hover, html.theme--documenter-dark h3 .docs-heading-anchor:visited, html.theme--documenter-dark h4 .docs-heading-anchor, html.theme--documenter-dark h4 .docs-heading-anchor:hover, html.theme--documenter-dark h4 .docs-heading-anchor:visited, html.theme--documenter-dark h5 .docs-heading-anchor, html.theme--documenter-dark h5 .docs-heading-anchor:hover, html.theme--documenter-dark h5 .docs-heading-anchor:visited, html.theme--documenter-dark h6 .docs-heading-anchor, html.theme--documenter-dark h6 .docs-heading-anchor:hover, html.theme--documenter-dark h6 .docs-heading-anchor:visited { + color: #f2f2f2; } + html.theme--documenter-dark h1 .docs-heading-anchor-permalink, html.theme--documenter-dark h2 .docs-heading-anchor-permalink, html.theme--documenter-dark h3 .docs-heading-anchor-permalink, html.theme--documenter-dark h4 .docs-heading-anchor-permalink, html.theme--documenter-dark h5 .docs-heading-anchor-permalink, html.theme--documenter-dark h6 .docs-heading-anchor-permalink { + visibility: hidden; + vertical-align: middle; + margin-left: 0.5em; + font-size: 0.7rem; } + html.theme--documenter-dark h1 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h2 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h3 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h4 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h5 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h6 .docs-heading-anchor-permalink::before { + font-family: "Font Awesome 5 Free"; + font-weight: 900; + content: "\f0c1"; } + html.theme--documenter-dark h1:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h2:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h3:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h4:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h5:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h6:hover .docs-heading-anchor-permalink { + visibility: visible; } + html.theme--documenter-dark .docs-light-only { + display: none !important; } + html.theme--documenter-dark pre { + position: relative; + overflow: hidden; } + html.theme--documenter-dark pre code, html.theme--documenter-dark pre code.hljs { + padding: 0 0.75rem !important; + overflow: auto; + display: block; } + html.theme--documenter-dark pre code:first-of-type, html.theme--documenter-dark pre code.hljs:first-of-type { + padding-top: 0.5rem !important; } + html.theme--documenter-dark pre code:last-of-type, html.theme--documenter-dark pre code.hljs:last-of-type { + padding-bottom: 0.5rem !important; } + html.theme--documenter-dark pre .copy-button { + opacity: 0.2; + transition: opacity 0.2s; + position: absolute; + right: 0em; + top: 0em; + padding: 0.5em; + width: 2.5em; + height: 2.5em; + background: transparent; + border: none; + font-family: "Font Awesome 5 Free"; + color: #fff; + cursor: pointer; + text-align: center; } + html.theme--documenter-dark pre .copy-button:focus, html.theme--documenter-dark pre .copy-button:hover { + opacity: 1; + background: rgba(255, 255, 255, 0.1); + color: #1abc9c; } + html.theme--documenter-dark pre .copy-button.success { + color: #259a12; + opacity: 1; } + html.theme--documenter-dark pre .copy-button.error { + color: #cb3c33; + opacity: 1; } + html.theme--documenter-dark pre:hover .copy-button { + opacity: 1; } + html.theme--documenter-dark .admonition { + background-color: #282f2f; + border-style: solid; + border-width: 1px; + border-color: #5e6d6f; + border-radius: 0.4em; + font-size: 15px; } + html.theme--documenter-dark .admonition strong { + color: currentColor; } + html.theme--documenter-dark .admonition.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.admonition { + font-size: 0.85em; } + html.theme--documenter-dark .admonition.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .admonition.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .admonition.is-default { + background-color: #282f2f; + border-color: #5e6d6f; } + html.theme--documenter-dark .admonition.is-default > .admonition-header { + background-color: #5e6d6f; } + html.theme--documenter-dark .admonition.is-info { + background-color: #282f2f; + border-color: #024c7d; } + html.theme--documenter-dark .admonition.is-info > .admonition-header { + background-color: #024c7d; } + html.theme--documenter-dark .admonition.is-success { + background-color: #282f2f; + border-color: #008438; } + html.theme--documenter-dark .admonition.is-success > .admonition-header { + background-color: #008438; } + html.theme--documenter-dark .admonition.is-warning { + background-color: #282f2f; + border-color: #ad8100; } + html.theme--documenter-dark .admonition.is-warning > .admonition-header { + background-color: #ad8100; } + html.theme--documenter-dark .admonition.is-danger { + background-color: #282f2f; + border-color: #9e1b0d; } + html.theme--documenter-dark .admonition.is-danger > .admonition-header { + background-color: #9e1b0d; } + html.theme--documenter-dark .admonition.is-compat { + background-color: #282f2f; + border-color: #137886; } + html.theme--documenter-dark .admonition.is-compat > .admonition-header { + background-color: #137886; } + html.theme--documenter-dark .admonition-header { + background-color: #5e6d6f; + align-items: center; + font-weight: 700; + justify-content: space-between; + line-height: 1.25; + padding: 0.5rem 0.75rem; + position: relative; } + html.theme--documenter-dark .admonition-header:before { + font-family: "Font Awesome 5 Free"; + font-weight: 900; + margin-right: 0.75rem; + content: "\f06a"; } + html.theme--documenter-dark .admonition-body { + color: #fff; + padding: 0.5rem 0.75rem; } + html.theme--documenter-dark .admonition-body pre { + background-color: #282f2f; } + html.theme--documenter-dark .admonition-body code { + background-color: rgba(255, 255, 255, 0.05); } + html.theme--documenter-dark .docstring { + margin-bottom: 1em; + background-color: transparent; + border: 1px solid #5e6d6f; + box-shadow: none; + max-width: 100%; } + html.theme--documenter-dark .docstring > header { + display: flex; + flex-grow: 1; + align-items: stretch; + padding: 0.5rem 0.75rem; + background-color: #282f2f; + box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1); + box-shadow: none; + border-bottom: 1px solid #5e6d6f; } + html.theme--documenter-dark .docstring > header code { + background-color: transparent; } + html.theme--documenter-dark .docstring > header .docstring-binding { + margin-right: 0.3em; } + html.theme--documenter-dark .docstring > header .docstring-category { + margin-left: 0.3em; } + html.theme--documenter-dark .docstring > section { + position: relative; + padding: 0.75rem 0.75rem; + border-bottom: 1px solid #5e6d6f; } + html.theme--documenter-dark .docstring > section:last-child { + border-bottom: none; } + html.theme--documenter-dark .docstring > section > a.docs-sourcelink { + transition: opacity 0.3s; + opacity: 0; + position: absolute; + right: 0.375rem; + bottom: 0.375rem; } + html.theme--documenter-dark .docstring > section > a.docs-sourcelink:focus { + opacity: 1 !important; } + html.theme--documenter-dark .docstring:hover > section > a.docs-sourcelink { + opacity: 0.2; } + html.theme--documenter-dark .docstring:focus-within > section > a.docs-sourcelink { + opacity: 0.2; } + html.theme--documenter-dark .docstring > section:hover a.docs-sourcelink { + opacity: 1; } + html.theme--documenter-dark .documenter-example-output { + background-color: #1f2424; } + html.theme--documenter-dark .outdated-warning-overlay { + position: fixed; + top: 0; + left: 0; + right: 0; + box-shadow: 0 0 10px rgba(0, 0, 0, 0.3); + z-index: 999; + background-color: #282f2f; + border-bottom: 3px solid #9e1b0d; + padding: 10px 35px; + text-align: center; + font-size: 15px; } + html.theme--documenter-dark .outdated-warning-overlay .outdated-warning-closer { + position: absolute; + top: calc(50% - 10px); + right: 18px; + cursor: pointer; + width: 12px; } + html.theme--documenter-dark .outdated-warning-overlay a { + color: #1abc9c; } + html.theme--documenter-dark .outdated-warning-overlay a:hover { + color: #1dd2af; } + html.theme--documenter-dark .content pre { + border: 1px solid #5e6d6f; } + html.theme--documenter-dark .content code { + font-weight: inherit; } + html.theme--documenter-dark .content a code { + color: #1abc9c; } + html.theme--documenter-dark .content h1 code, html.theme--documenter-dark .content h2 code, html.theme--documenter-dark .content h3 code, html.theme--documenter-dark .content h4 code, html.theme--documenter-dark .content h5 code, html.theme--documenter-dark .content h6 code { + color: #f2f2f2; } + html.theme--documenter-dark .content table { + display: block; + width: initial; + max-width: 100%; + overflow-x: auto; } + html.theme--documenter-dark .content blockquote > ul:first-child, html.theme--documenter-dark .content blockquote > ol:first-child, html.theme--documenter-dark .content .admonition-body > ul:first-child, html.theme--documenter-dark .content .admonition-body > ol:first-child { + margin-top: 0; } + html.theme--documenter-dark pre, html.theme--documenter-dark code { + font-variant-ligatures: no-contextual; } + html.theme--documenter-dark .breadcrumb a.is-disabled { + cursor: default; + pointer-events: none; } + html.theme--documenter-dark .breadcrumb a.is-disabled, html.theme--documenter-dark .breadcrumb a.is-disabled:hover { + color: #f2f2f2; } + html.theme--documenter-dark .hljs { + background: initial !important; } + html.theme--documenter-dark .katex .katex-mathml { + top: 0; + right: 0; } + html.theme--documenter-dark .katex-display, html.theme--documenter-dark mjx-container, html.theme--documenter-dark .MathJax_Display { + margin: 0.5em 0 !important; } + html.theme--documenter-dark html { + -moz-osx-font-smoothing: auto; + -webkit-font-smoothing: auto; } + html.theme--documenter-dark li.no-marker { + list-style: none; } + html.theme--documenter-dark #documenter .docs-main > article { + overflow-wrap: break-word; } + html.theme--documenter-dark #documenter .docs-main > article .math-container { + overflow-x: auto; + overflow-y: hidden; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark #documenter .docs-main { + max-width: 52rem; + margin-left: 20rem; + padding-right: 1rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark #documenter .docs-main { + width: 100%; } + html.theme--documenter-dark #documenter .docs-main > article { + max-width: 52rem; + margin-left: auto; + margin-right: auto; + margin-bottom: 1rem; + padding: 0 1rem; } + html.theme--documenter-dark #documenter .docs-main > header, html.theme--documenter-dark #documenter .docs-main > nav { + max-width: 100%; + width: 100%; + margin: 0; } } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar { + background-color: #1f2424; + border-bottom: 1px solid #5e6d6f; + z-index: 2; + min-height: 4rem; + margin-bottom: 1rem; + display: flex; } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar .breadcrumb { + flex-grow: 1; } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right { + display: flex; + white-space: nowrap; } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-icon, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button { + display: inline-block; } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label { + padding: 0; + margin-left: 0.3em; } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button { + margin: auto 0 auto 1rem; } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button { + font-size: 1.5rem; + margin: auto 0 auto 1rem; } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar > * { + margin: auto 0; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark #documenter .docs-main header.docs-navbar { + position: sticky; + top: 0; + padding: 0 1rem; + /* For Headroom.js */ + transition-property: top, box-shadow; + -webkit-transition-property: top, box-shadow; + /* Safari */ + transition-duration: 0.3s; + -webkit-transition-duration: 0.3s; + /* Safari */ } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--not-top { + box-shadow: 0.2rem 0rem 0.4rem #171717; + transition-duration: 0.7s; + -webkit-transition-duration: 0.7s; + /* Safari */ } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom { + top: -4.5rem; + transition-duration: 0.7s; + -webkit-transition-duration: 0.7s; + /* Safari */ } } + html.theme--documenter-dark #documenter .docs-main section.footnotes { + border-top: 1px solid #5e6d6f; } + html.theme--documenter-dark #documenter .docs-main section.footnotes li .tag:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .content kbd:first-child, html.theme--documenter-dark .content #documenter .docs-main section.footnotes li kbd:first-child { + margin-right: 1em; + margin-bottom: 0.4em; } + html.theme--documenter-dark #documenter .docs-main .docs-footer { + display: flex; + flex-wrap: wrap; + margin-left: 0; + margin-right: 0; + border-top: 1px solid #5e6d6f; + padding-top: 1rem; + padding-bottom: 1rem; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark #documenter .docs-main .docs-footer { + padding-left: 1rem; + padding-right: 1rem; } } + html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage, html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-prevpage { + flex-grow: 1; } + html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage { + text-align: right; } + html.theme--documenter-dark #documenter .docs-main .docs-footer .flexbox-break { + flex-basis: 100%; + height: 0; } + html.theme--documenter-dark #documenter .docs-main .docs-footer .footer-message { + font-size: 0.8em; + margin: 0.5em auto 0 auto; + text-align: center; } + html.theme--documenter-dark #documenter .docs-sidebar { + display: flex; + flex-direction: column; + color: #fff; + background-color: #282f2f; + border-right: 1px solid #5e6d6f; + padding: 0; + flex: 0 0 18rem; + z-index: 5; + font-size: 15px; + position: fixed; + left: -18rem; + width: 18rem; + height: 100%; + transition: left 0.3s; + /* Setting up a nicer theme style for the scrollbar */ } + html.theme--documenter-dark #documenter .docs-sidebar.visible { + left: 0; + box-shadow: 0.4rem 0rem 0.8rem #171717; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark #documenter .docs-sidebar.visible { + box-shadow: none; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark #documenter .docs-sidebar { + left: 0; + top: 0; } } + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo { + margin-top: 1rem; + padding: 0 1rem; } + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img { + max-height: 6rem; + margin: auto; } + html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name { + flex-shrink: 0; + font-size: 1.5rem; + font-weight: 700; + text-align: center; + white-space: nowrap; + overflow: hidden; + padding: 0.5rem 0; } + html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name .docs-autofit { + max-width: 16.2rem; } + html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a, html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a:hover { + color: #fff; } + html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector { + border-top: 1px solid #5e6d6f; + display: none; + padding: 0.5rem; } + html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector.visible { + display: flex; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu { + flex-grow: 1; + user-select: none; + border-top: 1px solid #5e6d6f; + padding-bottom: 1.5rem; + /* Managing collapsible submenus */ } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li > .tocitem { + font-weight: bold; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li li { + font-size: 14.25px; + margin-left: 1em; + border-left: 1px solid #5e6d6f; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input.collapse-toggle { + display: none; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.collapsed { + display: none; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed { + display: block; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem { + display: flex; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label { + flex-grow: 2; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron { + display: inline-block; + font-style: normal; + font-variant: normal; + text-rendering: auto; + line-height: 1; + font-size: 11.25px; + margin-left: 1rem; + margin-top: auto; + margin-bottom: auto; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before { + font-family: "Font Awesome 5 Free"; + font-weight: 900; + content: "\f054"; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before { + content: "\f078"; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem { + display: block; + padding: 0.5rem 0.5rem; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem:hover { + color: #fff; + background: #282f2f; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem:hover { + color: #fff; + background-color: #32393a; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active { + border-top: 1px solid #5e6d6f; + border-bottom: 1px solid #5e6d6f; + background-color: #1f2424; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover { + background-color: #1f2424; + color: #fff; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover { + background-color: #32393a; + color: #fff; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child { + border-top: none; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal { + margin: 0 0.5rem 0.5rem; + border-top: 1px solid #5e6d6f; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal li { + font-size: 12.75px; + border-left: none; + margin-left: 0; + margin-top: 0.5rem; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem { + width: 100%; + padding: 0; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before { + content: "⚬"; + margin-right: 0.4em; } + html.theme--documenter-dark #documenter .docs-sidebar form.docs-search { + margin: auto; + margin-top: 0.5rem; + margin-bottom: 0.5rem; } + html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input { + width: 14.4rem; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu { + overflow-y: auto; + -webkit-overflow-scroll: touch; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar { + width: .3rem; + background: none; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb { + border-radius: 5px 0px 0px 5px; + background: #3b4445; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover { + background: #4e5a5c; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark #documenter .docs-sidebar { + overflow-y: auto; + -webkit-overflow-scroll: touch; } + html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar { + width: .3rem; + background: none; } + html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb { + border-radius: 5px 0px 0px 5px; + background: #3b4445; } + html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover { + background: #4e5a5c; } } + html.theme--documenter-dark #documenter .docs-main #documenter-search-info { + margin-bottom: 1rem; } + html.theme--documenter-dark #documenter .docs-main #documenter-search-results { + list-style-type: circle; + list-style-position: outside; } + html.theme--documenter-dark #documenter .docs-main #documenter-search-results li { + margin-left: 2rem; } + html.theme--documenter-dark #documenter .docs-main #documenter-search-results .docs-highlight { + background-color: yellow; } + html.theme--documenter-dark { + background-color: #1f2424; + font-size: 16px; + min-width: 300px; + overflow-x: auto; + overflow-y: scroll; + text-rendering: optimizeLegibility; + text-size-adjust: 100%; } + html.theme--documenter-dark .ansi span.sgr1 { + font-weight: bolder; } + html.theme--documenter-dark .ansi span.sgr2 { + font-weight: lighter; } + html.theme--documenter-dark .ansi span.sgr3 { + font-style: italic; } + html.theme--documenter-dark .ansi span.sgr4 { + text-decoration: underline; } + html.theme--documenter-dark .ansi span.sgr7 { + color: #1f2424; + background-color: #fff; } + html.theme--documenter-dark .ansi span.sgr8 { + color: transparent; } + html.theme--documenter-dark .ansi span.sgr8 span { + color: transparent; } + html.theme--documenter-dark .ansi span.sgr9 { + text-decoration: line-through; } + html.theme--documenter-dark .ansi span.sgr30 { + color: #242424; } + html.theme--documenter-dark .ansi span.sgr31 { + color: #f6705f; } + html.theme--documenter-dark .ansi span.sgr32 { + color: #4fb43a; } + html.theme--documenter-dark .ansi span.sgr33 { + color: #f4c72f; } + html.theme--documenter-dark .ansi span.sgr34 { + color: #7587f0; } + html.theme--documenter-dark .ansi span.sgr35 { + color: #bc89d3; } + html.theme--documenter-dark .ansi span.sgr36 { + color: #49b6ca; } + html.theme--documenter-dark .ansi span.sgr37 { + color: #b3bdbe; } + html.theme--documenter-dark .ansi span.sgr40 { + background-color: #242424; } + html.theme--documenter-dark .ansi span.sgr41 { + background-color: #f6705f; } + html.theme--documenter-dark .ansi span.sgr42 { + background-color: #4fb43a; } + html.theme--documenter-dark .ansi span.sgr43 { + background-color: #f4c72f; } + html.theme--documenter-dark .ansi span.sgr44 { + background-color: #7587f0; } + html.theme--documenter-dark .ansi span.sgr45 { + background-color: #bc89d3; } + html.theme--documenter-dark .ansi span.sgr46 { + background-color: #49b6ca; } + html.theme--documenter-dark .ansi span.sgr47 { + background-color: #b3bdbe; } + html.theme--documenter-dark .ansi span.sgr90 { + color: #92a0a2; } + html.theme--documenter-dark .ansi span.sgr91 { + color: #ff8674; } + html.theme--documenter-dark .ansi span.sgr92 { + color: #79d462; } + html.theme--documenter-dark .ansi span.sgr93 { + color: #ffe76b; } + html.theme--documenter-dark .ansi span.sgr94 { + color: #8a98ff; } + html.theme--documenter-dark .ansi span.sgr95 { + color: #d2a4e6; } + html.theme--documenter-dark .ansi span.sgr96 { + color: #6bc8db; } + html.theme--documenter-dark .ansi span.sgr97 { + color: #ecf0f1; } + html.theme--documenter-dark .ansi span.sgr100 { + background-color: #92a0a2; } + html.theme--documenter-dark .ansi span.sgr101 { + background-color: #ff8674; } + html.theme--documenter-dark .ansi span.sgr102 { + background-color: #79d462; } + html.theme--documenter-dark .ansi span.sgr103 { + background-color: #ffe76b; } + html.theme--documenter-dark .ansi span.sgr104 { + background-color: #8a98ff; } + html.theme--documenter-dark .ansi span.sgr105 { + background-color: #d2a4e6; } + html.theme--documenter-dark .ansi span.sgr106 { + background-color: #6bc8db; } + html.theme--documenter-dark .ansi span.sgr107 { + background-color: #ecf0f1; } + html.theme--documenter-dark code.language-julia-repl > span.hljs-meta { + color: #4fb43a; + font-weight: bolder; } + html.theme--documenter-dark .hljs { + background: #2b2b2b; + color: #f8f8f2; } + html.theme--documenter-dark .hljs-comment, + html.theme--documenter-dark .hljs-quote { + color: #d4d0ab; } + html.theme--documenter-dark .hljs-variable, + html.theme--documenter-dark .hljs-template-variable, + html.theme--documenter-dark .hljs-tag, + html.theme--documenter-dark .hljs-name, + html.theme--documenter-dark .hljs-selector-id, + html.theme--documenter-dark .hljs-selector-class, + html.theme--documenter-dark .hljs-regexp, + html.theme--documenter-dark .hljs-deletion { + color: #ffa07a; } + html.theme--documenter-dark .hljs-number, + html.theme--documenter-dark .hljs-built_in, + html.theme--documenter-dark .hljs-literal, + html.theme--documenter-dark .hljs-type, + html.theme--documenter-dark .hljs-params, + html.theme--documenter-dark .hljs-meta, + html.theme--documenter-dark .hljs-link { + color: #f5ab35; } + html.theme--documenter-dark .hljs-attribute { + color: #ffd700; } + html.theme--documenter-dark .hljs-string, + html.theme--documenter-dark .hljs-symbol, + html.theme--documenter-dark .hljs-bullet, + html.theme--documenter-dark .hljs-addition { + color: #abe338; } + html.theme--documenter-dark .hljs-title, + html.theme--documenter-dark .hljs-section { + color: #00e0e0; } + html.theme--documenter-dark .hljs-keyword, + html.theme--documenter-dark .hljs-selector-tag { + color: #dcc6e0; } + html.theme--documenter-dark .hljs-emphasis { + font-style: italic; } + html.theme--documenter-dark .hljs-strong { + font-weight: bold; } + @media screen and (-ms-high-contrast: active) { + html.theme--documenter-dark .hljs-addition, + html.theme--documenter-dark .hljs-attribute, + html.theme--documenter-dark .hljs-built_in, + html.theme--documenter-dark .hljs-bullet, + html.theme--documenter-dark .hljs-comment, + html.theme--documenter-dark .hljs-link, + html.theme--documenter-dark .hljs-literal, + html.theme--documenter-dark .hljs-meta, + html.theme--documenter-dark .hljs-number, + html.theme--documenter-dark .hljs-params, + html.theme--documenter-dark .hljs-string, + html.theme--documenter-dark .hljs-symbol, + html.theme--documenter-dark .hljs-type, + html.theme--documenter-dark .hljs-quote { + color: highlight; } + html.theme--documenter-dark .hljs-keyword, + html.theme--documenter-dark .hljs-selector-tag { + font-weight: bold; } } + html.theme--documenter-dark .hljs-subst { + color: #f8f8f2; } diff --git a/previews/PR129/assets/themes/documenter-light.css b/previews/PR129/assets/themes/documenter-light.css new file mode 100644 index 00000000..9595d5b8 --- /dev/null +++ b/previews/PR129/assets/themes/documenter-light.css @@ -0,0 +1,7738 @@ +@charset "UTF-8"; +/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */ +@keyframes spinAround { + from { + transform: rotate(0deg); } + to { + transform: rotate(359deg); } } + +.tabs, .pagination-previous, +.pagination-next, +.pagination-link, +.pagination-ellipsis, .breadcrumb, .file, .button, .is-unselectable, .modal-close, .delete { + -webkit-touch-callout: none; + -webkit-user-select: none; + -moz-user-select: none; + -ms-user-select: none; + user-select: none; } + +.navbar-link:not(.is-arrowless)::after, .select:not(.is-multiple):not(.is-loading)::after { + border: 3px solid transparent; + border-radius: 2px; + border-right: 0; + border-top: 0; + content: " "; + display: block; + height: 0.625em; + margin-top: -0.4375em; + pointer-events: none; + position: absolute; + top: 50%; + transform: rotate(-45deg); + transform-origin: center; + width: 0.625em; } + +.admonition:not(:last-child), .tabs:not(:last-child), .message:not(:last-child), .list:not(:last-child), .level:not(:last-child), .breadcrumb:not(:last-child), .highlight:not(:last-child), .block:not(:last-child), .title:not(:last-child), +.subtitle:not(:last-child), .table-container:not(:last-child), .table:not(:last-child), .progress:not(:last-child), .notification:not(:last-child), .content:not(:last-child), .box:not(:last-child) { + margin-bottom: 1.5rem; } + +.modal-close, .delete { + -moz-appearance: none; + -webkit-appearance: none; + background-color: rgba(10, 10, 10, 0.2); + border: none; + border-radius: 290486px; + cursor: pointer; + pointer-events: auto; + display: inline-block; + flex-grow: 0; + flex-shrink: 0; + font-size: 0; + height: 20px; + max-height: 20px; + max-width: 20px; + min-height: 20px; + min-width: 20px; + outline: none; + position: relative; + vertical-align: top; + width: 20px; } + .modal-close::before, .delete::before, .modal-close::after, .delete::after { + background-color: white; + content: ""; + display: block; + left: 50%; + position: absolute; + top: 50%; + transform: translateX(-50%) translateY(-50%) rotate(45deg); + transform-origin: center center; } + .modal-close::before, .delete::before { + height: 2px; + width: 50%; } + .modal-close::after, .delete::after { + height: 50%; + width: 2px; } + .modal-close:hover, .delete:hover, .modal-close:focus, .delete:focus { + background-color: rgba(10, 10, 10, 0.3); } + .modal-close:active, .delete:active { + background-color: rgba(10, 10, 10, 0.4); } + .is-small.modal-close, #documenter .docs-sidebar form.docs-search > input.modal-close, .is-small.delete, #documenter .docs-sidebar form.docs-search > input.delete { + height: 16px; + max-height: 16px; + max-width: 16px; + min-height: 16px; + min-width: 16px; + width: 16px; } + .is-medium.modal-close, .is-medium.delete { + height: 24px; + max-height: 24px; + max-width: 24px; + min-height: 24px; + min-width: 24px; + width: 24px; } + .is-large.modal-close, .is-large.delete { + height: 32px; + max-height: 32px; + max-width: 32px; + min-height: 32px; + min-width: 32px; + width: 32px; } + +.control.is-loading::after, .select.is-loading::after, .loader, .button.is-loading::after { + animation: spinAround 500ms infinite linear; + border: 2px solid #dbdbdb; + border-radius: 290486px; + border-right-color: transparent; + border-top-color: transparent; + content: ""; + display: block; + height: 1em; + position: relative; + width: 1em; } + +.hero-video, .modal-background, .modal, .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img, +.image.is-square .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img, +.image.is-1by1 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img, +.image.is-5by4 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img, +.image.is-4by3 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img, +.image.is-3by2 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img, +.image.is-5by3 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img, +.image.is-16by9 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img, +.image.is-2by1 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img, +.image.is-3by1 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img, +.image.is-4by5 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img, +.image.is-3by4 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img, +.image.is-2by3 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img, +.image.is-3by5 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img, +.image.is-9by16 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img, +.image.is-1by2 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img, +.image.is-1by3 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .is-overlay { + bottom: 0; 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} + .pagination-previous[disabled], + .pagination-next[disabled], + .pagination-link[disabled], + .pagination-ellipsis[disabled], .file-cta[disabled], + .file-name[disabled], .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], .button[disabled], fieldset[disabled] .pagination-previous, + fieldset[disabled] .pagination-next, + fieldset[disabled] .pagination-link, + fieldset[disabled] .pagination-ellipsis, fieldset[disabled] .file-cta, + fieldset[disabled] .file-name, fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, fieldset[disabled] .button { + cursor: not-allowed; } + +/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */ +html, +body, +p, +ol, +ul, +li, +dl, +dt, +dd, +blockquote, +figure, +fieldset, +legend, +textarea, +pre, +iframe, +hr, +h1, +h2, +h3, +h4, +h5, +h6 { + margin: 0; 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} + .is-size-3-touch { + font-size: 2rem !important; } + .is-size-4-touch { + font-size: 1.5rem !important; } + .is-size-5-touch { + font-size: 1.25rem !important; } + .is-size-6-touch { + font-size: 1rem !important; } + .is-size-7-touch { + font-size: 0.75rem !important; } } + +@media screen and (min-width: 1056px) { + .is-size-1-desktop { + font-size: 3rem !important; } + .is-size-2-desktop { + font-size: 2.5rem !important; } + .is-size-3-desktop { + font-size: 2rem !important; } + .is-size-4-desktop { + font-size: 1.5rem !important; } + .is-size-5-desktop { + font-size: 1.25rem !important; } + .is-size-6-desktop { + font-size: 1rem !important; } + .is-size-7-desktop { + font-size: 0.75rem !important; } } + +@media screen and (min-width: 1216px) { + .is-size-1-widescreen { + font-size: 3rem !important; } + .is-size-2-widescreen { + font-size: 2.5rem !important; } + .is-size-3-widescreen { + font-size: 2rem !important; } + .is-size-4-widescreen { + font-size: 1.5rem !important; } + .is-size-5-widescreen { + font-size: 1.25rem !important; 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} } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .has-text-centered-tablet-only { + text-align: center !important; } } + +@media screen and (max-width: 1055px) { + .has-text-centered-touch { + text-align: center !important; } } + +@media screen and (min-width: 1056px) { + .has-text-centered-desktop { + text-align: center !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .has-text-centered-desktop-only { + text-align: center !important; } } + +@media screen and (min-width: 1216px) { + .has-text-centered-widescreen { + text-align: center !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .has-text-centered-widescreen-only { + text-align: center !important; } } + +@media screen and (min-width: 1408px) { + .has-text-centered-fullhd { + text-align: center !important; } } + +@media screen and (max-width: 768px) { + .has-text-justified-mobile { + text-align: justify !important; } } + +@media screen and (min-width: 769px), print { + .has-text-justified-tablet { + text-align: justify !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .has-text-justified-tablet-only { + text-align: justify !important; } } + +@media screen and (max-width: 1055px) { + .has-text-justified-touch { + text-align: justify !important; } } + +@media screen and (min-width: 1056px) { + .has-text-justified-desktop { + text-align: justify !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .has-text-justified-desktop-only { + text-align: justify !important; } } + +@media screen and (min-width: 1216px) { + .has-text-justified-widescreen { + text-align: justify !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .has-text-justified-widescreen-only { + text-align: justify !important; } } + +@media screen and (min-width: 1408px) { + .has-text-justified-fullhd { + text-align: justify !important; } } + +@media screen and (max-width: 768px) { + .has-text-left-mobile { + text-align: left !important; } } + +@media screen and (min-width: 769px), print { + .has-text-left-tablet { + text-align: left !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .has-text-left-tablet-only { + text-align: left !important; } } + +@media screen and (max-width: 1055px) { + .has-text-left-touch { + text-align: left !important; } } + +@media screen and (min-width: 1056px) { + .has-text-left-desktop { + text-align: left !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .has-text-left-desktop-only { + text-align: left !important; } } + +@media screen and (min-width: 1216px) { + .has-text-left-widescreen { + text-align: left !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .has-text-left-widescreen-only { + text-align: left !important; } } + +@media screen and (min-width: 1408px) { + .has-text-left-fullhd { + text-align: left !important; } } + +@media screen and (max-width: 768px) { + .has-text-right-mobile { + text-align: right !important; } } + +@media screen and (min-width: 769px), print { + .has-text-right-tablet { + text-align: right !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .has-text-right-tablet-only { + text-align: right !important; } } + +@media screen and (max-width: 1055px) { + .has-text-right-touch { + text-align: right !important; } } + +@media screen and (min-width: 1056px) { + .has-text-right-desktop { + text-align: right !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .has-text-right-desktop-only { + text-align: right !important; } } + +@media screen and (min-width: 1216px) { + .has-text-right-widescreen { + text-align: right !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .has-text-right-widescreen-only { + text-align: right !important; } } + +@media screen and (min-width: 1408px) { + .has-text-right-fullhd { + text-align: right !important; } } + +.is-capitalized { + text-transform: capitalize !important; } + +.is-lowercase { + text-transform: lowercase !important; } + +.is-uppercase { + text-transform: uppercase !important; } + +.is-italic { + font-style: italic !important; } + +.has-text-white { + color: white !important; } + +a.has-text-white:hover, a.has-text-white:focus { + color: #e6e6e6 !important; } + +.has-background-white { + background-color: white !important; } + +.has-text-black { + color: #0a0a0a !important; } + +a.has-text-black:hover, a.has-text-black:focus { + color: black !important; } + +.has-background-black { + background-color: #0a0a0a !important; } + +.has-text-light { + color: whitesmoke !important; } + +a.has-text-light:hover, a.has-text-light:focus { + color: #dbdbdb !important; } + +.has-background-light { + background-color: whitesmoke !important; } + +.has-text-dark { + color: #363636 !important; } + +a.has-text-dark:hover, a.has-text-dark:focus { + color: #1c1c1c !important; } + +.has-background-dark { + background-color: #363636 !important; } + +.has-text-primary { + color: #4eb5de !important; } + +a.has-text-primary:hover, a.has-text-primary:focus { + color: #27a1d2 !important; } + +.has-background-primary { + background-color: #4eb5de !important; } + +.has-text-link { + color: #2e63b8 !important; } + +a.has-text-link:hover, a.has-text-link:focus { + color: #244d8f !important; } + +.has-background-link { + background-color: #2e63b8 !important; } + +.has-text-info { + color: #209cee !important; } + +a.has-text-info:hover, a.has-text-info:focus { + color: #1081cb !important; } + +.has-background-info { + background-color: #209cee !important; } + +.has-text-success { + color: #22c35b !important; } + +a.has-text-success:hover, a.has-text-success:focus { + color: #1a9847 !important; } + +.has-background-success { + background-color: #22c35b !important; } + +.has-text-warning { + color: #ffdd57 !important; } + +a.has-text-warning:hover, a.has-text-warning:focus { + color: #ffd324 !important; } + +.has-background-warning { + background-color: #ffdd57 !important; } + +.has-text-danger { + color: #da0b00 !important; } + +a.has-text-danger:hover, a.has-text-danger:focus { + color: #a70800 !important; } + +.has-background-danger { + background-color: #da0b00 !important; } + +.has-text-black-bis { + color: #121212 !important; } + +.has-background-black-bis { + background-color: #121212 !important; } + +.has-text-black-ter { + color: #242424 !important; } + +.has-background-black-ter { + background-color: #242424 !important; } + +.has-text-grey-darker { + color: #363636 !important; } + +.has-background-grey-darker { + background-color: #363636 !important; } + +.has-text-grey-dark { + color: #4a4a4a !important; } + +.has-background-grey-dark { + background-color: #4a4a4a !important; } + +.has-text-grey { + color: #6b6b6b !important; } + +.has-background-grey { + background-color: #6b6b6b !important; } + +.has-text-grey-light { + color: #b5b5b5 !important; } + +.has-background-grey-light { + background-color: #b5b5b5 !important; } + +.has-text-grey-lighter { + color: #dbdbdb !important; } + +.has-background-grey-lighter { + background-color: #dbdbdb !important; } + +.has-text-white-ter { + color: whitesmoke !important; } + +.has-background-white-ter { + background-color: whitesmoke !important; } + +.has-text-white-bis { + color: #fafafa !important; } + +.has-background-white-bis { + background-color: #fafafa !important; } + +.has-text-weight-light { + font-weight: 300 !important; } + +.has-text-weight-normal { + font-weight: 400 !important; } + +.has-text-weight-medium { + font-weight: 500 !important; } + +.has-text-weight-semibold { + font-weight: 600 !important; } + +.has-text-weight-bold { + font-weight: 700 !important; } + +.is-family-primary { + font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; } + +.is-family-secondary { + font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; } + +.is-family-sans-serif { + font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; } + +.is-family-monospace { + font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; } + +.is-family-code { + font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; } + +.is-block { + display: block !important; } + +@media screen and (max-width: 768px) { + .is-block-mobile { + display: block !important; } } + +@media screen and (min-width: 769px), print { + .is-block-tablet { + display: block !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-block-tablet-only { + display: block !important; } } + +@media screen and (max-width: 1055px) { + .is-block-touch { + display: block !important; } } + +@media screen and (min-width: 1056px) { + .is-block-desktop { + display: block !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-block-desktop-only { + display: block !important; } } + +@media screen and (min-width: 1216px) { + .is-block-widescreen { + display: block !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-block-widescreen-only { + display: block !important; } } + +@media screen and (min-width: 1408px) { + .is-block-fullhd { + display: block !important; } } + +.is-flex { + display: flex !important; } + +@media screen and (max-width: 768px) { + .is-flex-mobile { + display: flex !important; } } + +@media screen and (min-width: 769px), print { + .is-flex-tablet { + display: flex !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-flex-tablet-only { + display: flex !important; } } + +@media screen and (max-width: 1055px) { + .is-flex-touch { + display: flex !important; } } + +@media screen and (min-width: 1056px) { + .is-flex-desktop { + display: flex !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-flex-desktop-only { + display: flex !important; } } + +@media screen and (min-width: 1216px) { + .is-flex-widescreen { + display: flex !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-flex-widescreen-only { + display: flex !important; } } + +@media screen and (min-width: 1408px) { + .is-flex-fullhd { + display: flex !important; } } + +.is-inline { + display: inline !important; } + +@media screen and (max-width: 768px) { + .is-inline-mobile { + display: inline !important; } } + +@media screen and (min-width: 769px), print { + .is-inline-tablet { + display: inline !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-inline-tablet-only { + display: inline !important; } } + +@media screen and (max-width: 1055px) { + .is-inline-touch { + display: inline !important; } } + +@media screen and (min-width: 1056px) { + .is-inline-desktop { + display: inline !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-inline-desktop-only { + display: inline !important; } } + +@media screen and (min-width: 1216px) { + .is-inline-widescreen { + display: inline !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-inline-widescreen-only { + display: inline !important; } } + +@media screen and (min-width: 1408px) { + .is-inline-fullhd { + display: inline !important; } } + +.is-inline-block { + display: inline-block !important; } + +@media screen and (max-width: 768px) { + .is-inline-block-mobile { + display: inline-block !important; } } + +@media screen and (min-width: 769px), print { + .is-inline-block-tablet { + display: inline-block !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-inline-block-tablet-only { + display: inline-block !important; } } + +@media screen and (max-width: 1055px) { + .is-inline-block-touch { + display: inline-block !important; } } + +@media screen and (min-width: 1056px) { + .is-inline-block-desktop { + display: inline-block !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-inline-block-desktop-only { + display: inline-block !important; } } + +@media screen and (min-width: 1216px) { + .is-inline-block-widescreen { + display: inline-block !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-inline-block-widescreen-only { + display: inline-block !important; } } + +@media screen and (min-width: 1408px) { + .is-inline-block-fullhd { + display: inline-block !important; } } + +.is-inline-flex { + display: inline-flex !important; } + +@media screen and (max-width: 768px) { + .is-inline-flex-mobile { + display: inline-flex !important; } } + +@media screen and (min-width: 769px), print { + .is-inline-flex-tablet { + display: inline-flex !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-inline-flex-tablet-only { + display: inline-flex !important; } } + +@media screen and (max-width: 1055px) { + .is-inline-flex-touch { + display: inline-flex !important; } } + +@media screen and (min-width: 1056px) { + .is-inline-flex-desktop { + display: inline-flex !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-inline-flex-desktop-only { + display: inline-flex !important; } } + +@media screen and (min-width: 1216px) { + .is-inline-flex-widescreen { + display: inline-flex !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-inline-flex-widescreen-only { + display: inline-flex !important; } } + +@media screen and (min-width: 1408px) { + .is-inline-flex-fullhd { + display: inline-flex !important; } } + +.is-hidden { + display: none !important; } + +.is-sr-only { + border: none !important; + clip: rect(0, 0, 0, 0) !important; + height: 0.01em !important; + overflow: hidden !important; + padding: 0 !important; + position: absolute !important; + white-space: nowrap !important; + width: 0.01em !important; } + +@media screen and (max-width: 768px) { + .is-hidden-mobile { + display: none !important; } } + +@media screen and (min-width: 769px), print { + .is-hidden-tablet { + display: none !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-hidden-tablet-only { + display: none !important; } } + +@media screen and (max-width: 1055px) { + .is-hidden-touch { + display: none !important; } } + +@media screen and (min-width: 1056px) { + .is-hidden-desktop { + display: none !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-hidden-desktop-only { + display: none !important; } } + +@media screen and (min-width: 1216px) { + .is-hidden-widescreen { + display: none !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-hidden-widescreen-only { + display: none !important; } } + +@media screen and (min-width: 1408px) { + .is-hidden-fullhd { + display: none !important; } } + +.is-invisible { + visibility: hidden !important; } + +@media screen and (max-width: 768px) { + .is-invisible-mobile { + visibility: hidden !important; } } + +@media screen and (min-width: 769px), print { + .is-invisible-tablet { + visibility: hidden !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-invisible-tablet-only { + visibility: hidden !important; } } + +@media screen and (max-width: 1055px) { + .is-invisible-touch { + visibility: hidden !important; } } + +@media screen and (min-width: 1056px) { + .is-invisible-desktop { + visibility: hidden !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-invisible-desktop-only { + visibility: hidden !important; } } + +@media screen and (min-width: 1216px) { + .is-invisible-widescreen { + visibility: hidden !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-invisible-widescreen-only { + visibility: hidden !important; } } + +@media screen and (min-width: 1408px) { + .is-invisible-fullhd { + visibility: hidden !important; } } + +.is-marginless { + margin: 0 !important; } + +.is-paddingless { + padding: 0 !important; } + +.is-radiusless { + border-radius: 0 !important; } + +.is-shadowless { + box-shadow: none !important; } + +.is-relative { + position: relative !important; } + +.box { + background-color: white; + border-radius: 6px; + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); + color: #222222; + display: block; + padding: 1.25rem; } + +a.box:hover, a.box:focus { + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #2e63b8; } + +a.box:active { + box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #2e63b8; } + +.button { + background-color: white; + border-color: #dbdbdb; + border-width: 1px; + color: #363636; + cursor: pointer; + justify-content: center; + padding-bottom: calc(0.375em - 1px); + padding-left: 0.75em; + padding-right: 0.75em; + padding-top: calc(0.375em - 1px); + text-align: center; + white-space: nowrap; } + .button strong { + color: inherit; } + .button .icon, .button .icon.is-small, .button #documenter .docs-sidebar form.docs-search > input.icon, #documenter .docs-sidebar .button form.docs-search > input.icon, .button .icon.is-medium, .button .icon.is-large { + height: 1.5em; + width: 1.5em; } + .button .icon:first-child:not(:last-child) { + margin-left: calc(-0.375em - 1px); + margin-right: 0.1875em; } + .button .icon:last-child:not(:first-child) { + margin-left: 0.1875em; + margin-right: calc(-0.375em - 1px); } + .button .icon:first-child:last-child { + margin-left: calc(-0.375em - 1px); + margin-right: calc(-0.375em - 1px); } + .button:hover, .button.is-hovered { + border-color: #b5b5b5; + color: #363636; } + .button:focus, .button.is-focused { + border-color: #3c5dcd; + color: #363636; } + .button:focus:not(:active), .button.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } + .button:active, .button.is-active { + border-color: #4a4a4a; + color: #363636; } + .button.is-text { + background-color: transparent; + border-color: transparent; + color: #222222; + text-decoration: underline; } + .button.is-text:hover, .button.is-text.is-hovered, .button.is-text:focus, .button.is-text.is-focused { + background-color: whitesmoke; + color: #222222; } + .button.is-text:active, .button.is-text.is-active { + background-color: #e8e8e8; + color: #222222; } + .button.is-text[disabled], fieldset[disabled] .button.is-text { + background-color: transparent; + border-color: transparent; + box-shadow: none; } + .button.is-white { + background-color: white; + border-color: transparent; + color: #0a0a0a; } + .button.is-white:hover, .button.is-white.is-hovered { + background-color: #f9f9f9; + border-color: transparent; + color: #0a0a0a; } + .button.is-white:focus, .button.is-white.is-focused { + border-color: transparent; + color: #0a0a0a; } + .button.is-white:focus:not(:active), .button.is-white.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } + .button.is-white:active, .button.is-white.is-active { + background-color: #f2f2f2; + border-color: transparent; + color: #0a0a0a; } + .button.is-white[disabled], fieldset[disabled] .button.is-white { + background-color: white; + border-color: transparent; + box-shadow: none; } + .button.is-white.is-inverted { + background-color: #0a0a0a; + color: white; } + .button.is-white.is-inverted:hover, .button.is-white.is-inverted.is-hovered { + background-color: black; } + .button.is-white.is-inverted[disabled], fieldset[disabled] .button.is-white.is-inverted { + background-color: #0a0a0a; + border-color: transparent; + box-shadow: none; + color: white; } + .button.is-white.is-loading::after { + border-color: transparent transparent #0a0a0a #0a0a0a !important; } + .button.is-white.is-outlined { + background-color: transparent; + border-color: white; + color: white; } + .button.is-white.is-outlined:hover, .button.is-white.is-outlined.is-hovered, .button.is-white.is-outlined:focus, .button.is-white.is-outlined.is-focused { + background-color: white; + border-color: white; + color: #0a0a0a; } + .button.is-white.is-outlined.is-loading::after { + border-color: transparent transparent white white !important; } + .button.is-white.is-outlined.is-loading:hover::after, .button.is-white.is-outlined.is-loading.is-hovered::after, .button.is-white.is-outlined.is-loading:focus::after, .button.is-white.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #0a0a0a #0a0a0a !important; } + .button.is-white.is-outlined[disabled], fieldset[disabled] .button.is-white.is-outlined { + background-color: transparent; + border-color: white; + box-shadow: none; + color: white; } + .button.is-white.is-inverted.is-outlined { + background-color: transparent; + border-color: #0a0a0a; + color: #0a0a0a; } + .button.is-white.is-inverted.is-outlined:hover, .button.is-white.is-inverted.is-outlined.is-hovered, .button.is-white.is-inverted.is-outlined:focus, .button.is-white.is-inverted.is-outlined.is-focused { + background-color: #0a0a0a; + color: white; } + .button.is-white.is-inverted.is-outlined.is-loading:hover::after, .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-white.is-inverted.is-outlined.is-loading:focus::after, .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent white white !important; } + .button.is-white.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-white.is-inverted.is-outlined { + background-color: transparent; + border-color: #0a0a0a; + box-shadow: none; + color: #0a0a0a; } + .button.is-black { + background-color: #0a0a0a; + border-color: transparent; + color: white; } + .button.is-black:hover, .button.is-black.is-hovered { + background-color: #040404; + border-color: transparent; + color: white; } + .button.is-black:focus, .button.is-black.is-focused { + border-color: transparent; + color: white; } + .button.is-black:focus:not(:active), .button.is-black.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } + .button.is-black:active, .button.is-black.is-active { + background-color: black; + border-color: transparent; + color: white; } + .button.is-black[disabled], fieldset[disabled] .button.is-black { + background-color: #0a0a0a; + border-color: transparent; + box-shadow: none; } + .button.is-black.is-inverted { + background-color: white; + color: #0a0a0a; } + .button.is-black.is-inverted:hover, .button.is-black.is-inverted.is-hovered { + background-color: #f2f2f2; } + .button.is-black.is-inverted[disabled], fieldset[disabled] .button.is-black.is-inverted { + background-color: white; + border-color: transparent; + box-shadow: none; + color: #0a0a0a; } + .button.is-black.is-loading::after { + border-color: transparent transparent white white !important; } + .button.is-black.is-outlined { + background-color: transparent; + border-color: #0a0a0a; + color: #0a0a0a; } + .button.is-black.is-outlined:hover, .button.is-black.is-outlined.is-hovered, .button.is-black.is-outlined:focus, .button.is-black.is-outlined.is-focused { + background-color: #0a0a0a; + border-color: #0a0a0a; + color: white; } + .button.is-black.is-outlined.is-loading::after { + border-color: transparent transparent #0a0a0a #0a0a0a !important; } + .button.is-black.is-outlined.is-loading:hover::after, .button.is-black.is-outlined.is-loading.is-hovered::after, .button.is-black.is-outlined.is-loading:focus::after, .button.is-black.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent white white !important; } + .button.is-black.is-outlined[disabled], fieldset[disabled] .button.is-black.is-outlined { + background-color: transparent; + border-color: #0a0a0a; + box-shadow: none; + color: #0a0a0a; } + .button.is-black.is-inverted.is-outlined { + background-color: transparent; + border-color: white; + color: white; } + .button.is-black.is-inverted.is-outlined:hover, .button.is-black.is-inverted.is-outlined.is-hovered, .button.is-black.is-inverted.is-outlined:focus, .button.is-black.is-inverted.is-outlined.is-focused { + background-color: white; + color: #0a0a0a; } + .button.is-black.is-inverted.is-outlined.is-loading:hover::after, .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-black.is-inverted.is-outlined.is-loading:focus::after, .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #0a0a0a #0a0a0a !important; } + .button.is-black.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-black.is-inverted.is-outlined { + background-color: transparent; + border-color: white; + box-shadow: none; + color: white; } + .button.is-light { + background-color: whitesmoke; + border-color: transparent; + color: #363636; } + .button.is-light:hover, .button.is-light.is-hovered { + background-color: #eeeeee; + border-color: transparent; + color: #363636; } + .button.is-light:focus, .button.is-light.is-focused { + border-color: transparent; + color: #363636; } + .button.is-light:focus:not(:active), .button.is-light.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); } + .button.is-light:active, .button.is-light.is-active { + background-color: #e8e8e8; + border-color: transparent; + color: #363636; } + .button.is-light[disabled], fieldset[disabled] .button.is-light { + background-color: whitesmoke; + border-color: transparent; + box-shadow: none; } + .button.is-light.is-inverted { + background-color: #363636; + color: whitesmoke; } + .button.is-light.is-inverted:hover, .button.is-light.is-inverted.is-hovered { + background-color: #292929; } + .button.is-light.is-inverted[disabled], fieldset[disabled] .button.is-light.is-inverted { + background-color: #363636; + border-color: transparent; + box-shadow: none; + color: whitesmoke; } + .button.is-light.is-loading::after { + border-color: transparent transparent #363636 #363636 !important; } + .button.is-light.is-outlined { + background-color: transparent; + border-color: whitesmoke; + color: whitesmoke; } + .button.is-light.is-outlined:hover, .button.is-light.is-outlined.is-hovered, .button.is-light.is-outlined:focus, .button.is-light.is-outlined.is-focused { + background-color: whitesmoke; + border-color: whitesmoke; + color: #363636; } + .button.is-light.is-outlined.is-loading::after { + border-color: transparent transparent whitesmoke whitesmoke !important; } + .button.is-light.is-outlined.is-loading:hover::after, .button.is-light.is-outlined.is-loading.is-hovered::after, .button.is-light.is-outlined.is-loading:focus::after, .button.is-light.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #363636 #363636 !important; } + .button.is-light.is-outlined[disabled], fieldset[disabled] .button.is-light.is-outlined { + background-color: transparent; + border-color: whitesmoke; + box-shadow: none; + color: whitesmoke; } + .button.is-light.is-inverted.is-outlined { + background-color: transparent; + border-color: #363636; + color: #363636; } + .button.is-light.is-inverted.is-outlined:hover, .button.is-light.is-inverted.is-outlined.is-hovered, .button.is-light.is-inverted.is-outlined:focus, .button.is-light.is-inverted.is-outlined.is-focused { + background-color: #363636; + color: whitesmoke; } + .button.is-light.is-inverted.is-outlined.is-loading:hover::after, .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-light.is-inverted.is-outlined.is-loading:focus::after, .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent whitesmoke whitesmoke !important; } + .button.is-light.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-light.is-inverted.is-outlined { + background-color: transparent; + border-color: #363636; + box-shadow: none; + color: #363636; } + .button.is-dark, .content kbd.button { + background-color: #363636; + border-color: transparent; + color: whitesmoke; } + .button.is-dark:hover, .content kbd.button:hover, .button.is-dark.is-hovered, .content kbd.button.is-hovered { + background-color: #2f2f2f; + border-color: transparent; + color: whitesmoke; } + .button.is-dark:focus, .content kbd.button:focus, .button.is-dark.is-focused, .content kbd.button.is-focused { + border-color: transparent; + color: whitesmoke; } + .button.is-dark:focus:not(:active), .content kbd.button:focus:not(:active), .button.is-dark.is-focused:not(:active), .content kbd.button.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); } + .button.is-dark:active, .content kbd.button:active, .button.is-dark.is-active, .content kbd.button.is-active { + background-color: #292929; + border-color: transparent; + color: whitesmoke; } + .button.is-dark[disabled], .content kbd.button[disabled], fieldset[disabled] .button.is-dark, fieldset[disabled] .content kbd.button, .content fieldset[disabled] kbd.button { + background-color: #363636; + border-color: transparent; + box-shadow: none; } + .button.is-dark.is-inverted, .content kbd.button.is-inverted { + background-color: whitesmoke; + color: #363636; } + .button.is-dark.is-inverted:hover, .content kbd.button.is-inverted:hover, .button.is-dark.is-inverted.is-hovered, .content kbd.button.is-inverted.is-hovered { + background-color: #e8e8e8; } + .button.is-dark.is-inverted[disabled], .content kbd.button.is-inverted[disabled], fieldset[disabled] .button.is-dark.is-inverted, fieldset[disabled] .content kbd.button.is-inverted, .content fieldset[disabled] kbd.button.is-inverted { + background-color: whitesmoke; + border-color: transparent; + box-shadow: none; + color: #363636; } + .button.is-dark.is-loading::after, .content kbd.button.is-loading::after { + border-color: transparent transparent whitesmoke whitesmoke !important; } + .button.is-dark.is-outlined, .content kbd.button.is-outlined { + background-color: transparent; + border-color: #363636; + color: #363636; } + .button.is-dark.is-outlined:hover, .content kbd.button.is-outlined:hover, .button.is-dark.is-outlined.is-hovered, .content kbd.button.is-outlined.is-hovered, .button.is-dark.is-outlined:focus, .content kbd.button.is-outlined:focus, .button.is-dark.is-outlined.is-focused, .content kbd.button.is-outlined.is-focused { + background-color: #363636; + border-color: #363636; + color: whitesmoke; } + .button.is-dark.is-outlined.is-loading::after, .content kbd.button.is-outlined.is-loading::after { + border-color: transparent transparent #363636 #363636 !important; } + .button.is-dark.is-outlined.is-loading:hover::after, .content kbd.button.is-outlined.is-loading:hover::after, .button.is-dark.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-outlined.is-loading:focus::after, .content kbd.button.is-outlined.is-loading:focus::after, .button.is-dark.is-outlined.is-loading.is-focused::after, .content kbd.button.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent whitesmoke whitesmoke !important; } + .button.is-dark.is-outlined[disabled], .content kbd.button.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-outlined, fieldset[disabled] .content kbd.button.is-outlined, .content fieldset[disabled] kbd.button.is-outlined { + background-color: transparent; + border-color: #363636; + box-shadow: none; + color: #363636; } + .button.is-dark.is-inverted.is-outlined, .content kbd.button.is-inverted.is-outlined { + background-color: transparent; + border-color: whitesmoke; + color: whitesmoke; } + .button.is-dark.is-inverted.is-outlined:hover, .content kbd.button.is-inverted.is-outlined:hover, .button.is-dark.is-inverted.is-outlined.is-hovered, .content kbd.button.is-inverted.is-outlined.is-hovered, .button.is-dark.is-inverted.is-outlined:focus, .content kbd.button.is-inverted.is-outlined:focus, .button.is-dark.is-inverted.is-outlined.is-focused, .content kbd.button.is-inverted.is-outlined.is-focused { + background-color: whitesmoke; + color: #363636; } + .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #363636 #363636 !important; } + .button.is-dark.is-inverted.is-outlined[disabled], .content kbd.button.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-dark.is-inverted.is-outlined, fieldset[disabled] .content kbd.button.is-inverted.is-outlined, .content fieldset[disabled] kbd.button.is-inverted.is-outlined { + background-color: transparent; + border-color: whitesmoke; + box-shadow: none; + color: whitesmoke; } + .button.is-primary, .docstring > section > a.button.docs-sourcelink { + background-color: #4eb5de; + border-color: transparent; + color: #fff; } + .button.is-primary:hover, .docstring > section > a.button.docs-sourcelink:hover, .button.is-primary.is-hovered, .docstring > section > a.button.is-hovered.docs-sourcelink { + background-color: #43b1dc; + border-color: transparent; + color: #fff; } + .button.is-primary:focus, .docstring > section > a.button.docs-sourcelink:focus, .button.is-primary.is-focused, .docstring > section > a.button.is-focused.docs-sourcelink { + border-color: transparent; + color: #fff; } + .button.is-primary:focus:not(:active), .docstring > section > a.button.docs-sourcelink:focus:not(:active), .button.is-primary.is-focused:not(:active), .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) { + box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); } + .button.is-primary:active, .docstring > section > a.button.docs-sourcelink:active, .button.is-primary.is-active, .docstring > section > a.button.is-active.docs-sourcelink { + background-color: #39acda; + border-color: transparent; + color: #fff; } + .button.is-primary[disabled], .docstring > section > a.button.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary, fieldset[disabled] .docstring > section > a.button.docs-sourcelink { + background-color: #4eb5de; + border-color: transparent; + box-shadow: none; } + .button.is-primary.is-inverted, .docstring > section > a.button.is-inverted.docs-sourcelink { + background-color: #fff; + color: #4eb5de; } + .button.is-primary.is-inverted:hover, .docstring > section > a.button.is-inverted.docs-sourcelink:hover, .button.is-primary.is-inverted.is-hovered, .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink { + background-color: #f2f2f2; } + .button.is-primary.is-inverted[disabled], .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted, fieldset[disabled] .docstring > section > a.button.is-inverted.docs-sourcelink { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #4eb5de; } + .button.is-primary.is-loading::after, .docstring > section > a.button.is-loading.docs-sourcelink::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-primary.is-outlined, .docstring > section > a.button.is-outlined.docs-sourcelink { + background-color: transparent; + border-color: #4eb5de; + color: #4eb5de; } + .button.is-primary.is-outlined:hover, .docstring > section > a.button.is-outlined.docs-sourcelink:hover, .button.is-primary.is-outlined.is-hovered, .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-outlined:focus, .docstring > section > a.button.is-outlined.docs-sourcelink:focus, .button.is-primary.is-outlined.is-focused, .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink { + background-color: #4eb5de; + border-color: #4eb5de; + color: #fff; } + .button.is-primary.is-outlined.is-loading::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after { + border-color: transparent transparent #4eb5de #4eb5de !important; } + .button.is-primary.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-primary.is-outlined[disabled], .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-outlined, fieldset[disabled] .docstring > section > a.button.is-outlined.docs-sourcelink { + background-color: transparent; + border-color: #4eb5de; + box-shadow: none; + color: #4eb5de; } + .button.is-primary.is-inverted.is-outlined, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink { + background-color: transparent; + border-color: #fff; + color: #fff; } + .button.is-primary.is-inverted.is-outlined:hover, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, .button.is-primary.is-inverted.is-outlined.is-hovered, .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-inverted.is-outlined:focus, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, .button.is-primary.is-inverted.is-outlined.is-focused, .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink { + background-color: #fff; + color: #4eb5de; } + .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after { + border-color: transparent transparent #4eb5de #4eb5de !important; } + .button.is-primary.is-inverted.is-outlined[disabled], .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], fieldset[disabled] .button.is-primary.is-inverted.is-outlined, fieldset[disabled] .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + .button.is-link { + background-color: #2e63b8; + border-color: transparent; + color: #fff; } + .button.is-link:hover, .button.is-link.is-hovered { + background-color: #2b5eae; + border-color: transparent; + color: #fff; } + .button.is-link:focus, .button.is-link.is-focused { + border-color: transparent; + color: #fff; } + .button.is-link:focus:not(:active), .button.is-link.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } + .button.is-link:active, .button.is-link.is-active { + background-color: #2958a4; + border-color: transparent; + color: #fff; } + .button.is-link[disabled], fieldset[disabled] .button.is-link { + background-color: #2e63b8; + border-color: transparent; + box-shadow: none; } + .button.is-link.is-inverted { + background-color: #fff; + color: #2e63b8; } + .button.is-link.is-inverted:hover, .button.is-link.is-inverted.is-hovered { + background-color: #f2f2f2; } + .button.is-link.is-inverted[disabled], fieldset[disabled] .button.is-link.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #2e63b8; } + .button.is-link.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-link.is-outlined { + background-color: transparent; + border-color: #2e63b8; + color: #2e63b8; } + .button.is-link.is-outlined:hover, .button.is-link.is-outlined.is-hovered, .button.is-link.is-outlined:focus, .button.is-link.is-outlined.is-focused { + background-color: #2e63b8; + border-color: #2e63b8; + color: #fff; } + .button.is-link.is-outlined.is-loading::after { + border-color: transparent transparent #2e63b8 #2e63b8 !important; } + .button.is-link.is-outlined.is-loading:hover::after, .button.is-link.is-outlined.is-loading.is-hovered::after, .button.is-link.is-outlined.is-loading:focus::after, .button.is-link.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-link.is-outlined[disabled], fieldset[disabled] .button.is-link.is-outlined { + background-color: transparent; + border-color: #2e63b8; + box-shadow: none; + color: #2e63b8; } + .button.is-link.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + .button.is-link.is-inverted.is-outlined:hover, .button.is-link.is-inverted.is-outlined.is-hovered, .button.is-link.is-inverted.is-outlined:focus, .button.is-link.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #2e63b8; } + .button.is-link.is-inverted.is-outlined.is-loading:hover::after, .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-link.is-inverted.is-outlined.is-loading:focus::after, .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #2e63b8 #2e63b8 !important; } + .button.is-link.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-link.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + .button.is-info { + background-color: #209cee; + border-color: transparent; + color: #fff; } + .button.is-info:hover, .button.is-info.is-hovered { + background-color: #1497ed; + border-color: transparent; + color: #fff; } + .button.is-info:focus, .button.is-info.is-focused { + border-color: transparent; + color: #fff; } + .button.is-info:focus:not(:active), .button.is-info.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); } + .button.is-info:active, .button.is-info.is-active { + background-color: #1190e3; + border-color: transparent; + color: #fff; } + .button.is-info[disabled], fieldset[disabled] .button.is-info { + background-color: #209cee; + border-color: transparent; + box-shadow: none; } + .button.is-info.is-inverted { + background-color: #fff; + color: #209cee; } + .button.is-info.is-inverted:hover, .button.is-info.is-inverted.is-hovered { + background-color: #f2f2f2; } + .button.is-info.is-inverted[disabled], fieldset[disabled] .button.is-info.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #209cee; } + .button.is-info.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-info.is-outlined { + background-color: transparent; + border-color: #209cee; + color: #209cee; } + .button.is-info.is-outlined:hover, .button.is-info.is-outlined.is-hovered, .button.is-info.is-outlined:focus, .button.is-info.is-outlined.is-focused { + background-color: #209cee; + border-color: #209cee; + color: #fff; } + .button.is-info.is-outlined.is-loading::after { + border-color: transparent transparent #209cee #209cee !important; } + .button.is-info.is-outlined.is-loading:hover::after, .button.is-info.is-outlined.is-loading.is-hovered::after, .button.is-info.is-outlined.is-loading:focus::after, .button.is-info.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-info.is-outlined[disabled], fieldset[disabled] .button.is-info.is-outlined { + background-color: transparent; + border-color: #209cee; + box-shadow: none; + color: #209cee; } + .button.is-info.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + .button.is-info.is-inverted.is-outlined:hover, .button.is-info.is-inverted.is-outlined.is-hovered, .button.is-info.is-inverted.is-outlined:focus, .button.is-info.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #209cee; } + .button.is-info.is-inverted.is-outlined.is-loading:hover::after, .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-info.is-inverted.is-outlined.is-loading:focus::after, .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #209cee #209cee !important; } + .button.is-info.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-info.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + .button.is-success { + background-color: #22c35b; + border-color: transparent; + color: #fff; } + .button.is-success:hover, .button.is-success.is-hovered { + background-color: #20b856; + border-color: transparent; + color: #fff; } + .button.is-success:focus, .button.is-success.is-focused { + border-color: transparent; + color: #fff; } + .button.is-success:focus:not(:active), .button.is-success.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); } + .button.is-success:active, .button.is-success.is-active { + background-color: #1ead51; + border-color: transparent; + color: #fff; } + .button.is-success[disabled], fieldset[disabled] .button.is-success { + background-color: #22c35b; + border-color: transparent; + box-shadow: none; } + .button.is-success.is-inverted { + background-color: #fff; + color: #22c35b; } + .button.is-success.is-inverted:hover, .button.is-success.is-inverted.is-hovered { + background-color: #f2f2f2; } + .button.is-success.is-inverted[disabled], fieldset[disabled] .button.is-success.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #22c35b; } + .button.is-success.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-success.is-outlined { + background-color: transparent; + border-color: #22c35b; + color: #22c35b; } + .button.is-success.is-outlined:hover, .button.is-success.is-outlined.is-hovered, .button.is-success.is-outlined:focus, .button.is-success.is-outlined.is-focused { + background-color: #22c35b; + border-color: #22c35b; + color: #fff; } + .button.is-success.is-outlined.is-loading::after { + border-color: transparent transparent #22c35b #22c35b !important; } + .button.is-success.is-outlined.is-loading:hover::after, .button.is-success.is-outlined.is-loading.is-hovered::after, .button.is-success.is-outlined.is-loading:focus::after, .button.is-success.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-success.is-outlined[disabled], fieldset[disabled] .button.is-success.is-outlined { + background-color: transparent; + border-color: #22c35b; + box-shadow: none; + color: #22c35b; } + .button.is-success.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + .button.is-success.is-inverted.is-outlined:hover, .button.is-success.is-inverted.is-outlined.is-hovered, .button.is-success.is-inverted.is-outlined:focus, .button.is-success.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #22c35b; } + .button.is-success.is-inverted.is-outlined.is-loading:hover::after, .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-success.is-inverted.is-outlined.is-loading:focus::after, .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #22c35b #22c35b !important; } + .button.is-success.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-success.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + .button.is-warning { + background-color: #ffdd57; + border-color: transparent; + color: rgba(0, 0, 0, 0.7); } + .button.is-warning:hover, .button.is-warning.is-hovered { + background-color: #ffda4a; + border-color: transparent; + color: rgba(0, 0, 0, 0.7); } + .button.is-warning:focus, .button.is-warning.is-focused { + border-color: transparent; + color: rgba(0, 0, 0, 0.7); } + .button.is-warning:focus:not(:active), .button.is-warning.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); } + .button.is-warning:active, .button.is-warning.is-active { + background-color: #ffd83e; + border-color: transparent; + color: rgba(0, 0, 0, 0.7); } + .button.is-warning[disabled], fieldset[disabled] .button.is-warning { + background-color: #ffdd57; + border-color: transparent; + box-shadow: none; } + .button.is-warning.is-inverted { + background-color: rgba(0, 0, 0, 0.7); + color: #ffdd57; } + .button.is-warning.is-inverted:hover, .button.is-warning.is-inverted.is-hovered { + background-color: rgba(0, 0, 0, 0.7); } + .button.is-warning.is-inverted[disabled], fieldset[disabled] .button.is-warning.is-inverted { + background-color: rgba(0, 0, 0, 0.7); + border-color: transparent; + box-shadow: none; + color: #ffdd57; } + .button.is-warning.is-loading::after { + border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; } + .button.is-warning.is-outlined { + background-color: transparent; + border-color: #ffdd57; + color: #ffdd57; } + .button.is-warning.is-outlined:hover, .button.is-warning.is-outlined.is-hovered, .button.is-warning.is-outlined:focus, .button.is-warning.is-outlined.is-focused { + background-color: #ffdd57; + border-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } + .button.is-warning.is-outlined.is-loading::after { + border-color: transparent transparent #ffdd57 #ffdd57 !important; } + .button.is-warning.is-outlined.is-loading:hover::after, .button.is-warning.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-outlined.is-loading:focus::after, .button.is-warning.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; } + .button.is-warning.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-outlined { + background-color: transparent; + border-color: #ffdd57; + box-shadow: none; + color: #ffdd57; } + .button.is-warning.is-inverted.is-outlined { + background-color: transparent; + border-color: rgba(0, 0, 0, 0.7); + color: rgba(0, 0, 0, 0.7); } + .button.is-warning.is-inverted.is-outlined:hover, .button.is-warning.is-inverted.is-outlined.is-hovered, .button.is-warning.is-inverted.is-outlined:focus, .button.is-warning.is-inverted.is-outlined.is-focused { + background-color: rgba(0, 0, 0, 0.7); + color: #ffdd57; } + .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #ffdd57 #ffdd57 !important; } + .button.is-warning.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-warning.is-inverted.is-outlined { + background-color: transparent; + border-color: rgba(0, 0, 0, 0.7); + box-shadow: none; + color: rgba(0, 0, 0, 0.7); } + .button.is-danger { + background-color: #da0b00; + border-color: transparent; + color: #fff; } + .button.is-danger:hover, .button.is-danger.is-hovered { + background-color: #cd0a00; + border-color: transparent; + color: #fff; } + .button.is-danger:focus, .button.is-danger.is-focused { + border-color: transparent; + color: #fff; } + .button.is-danger:focus:not(:active), .button.is-danger.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); } + .button.is-danger:active, .button.is-danger.is-active { + background-color: #c10a00; + border-color: transparent; + color: #fff; } + .button.is-danger[disabled], fieldset[disabled] .button.is-danger { + background-color: #da0b00; + border-color: transparent; + box-shadow: none; } + .button.is-danger.is-inverted { + background-color: #fff; + color: #da0b00; } + .button.is-danger.is-inverted:hover, .button.is-danger.is-inverted.is-hovered { + background-color: #f2f2f2; } + .button.is-danger.is-inverted[disabled], fieldset[disabled] .button.is-danger.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #da0b00; } + .button.is-danger.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-danger.is-outlined { + background-color: transparent; + border-color: #da0b00; + color: #da0b00; } + .button.is-danger.is-outlined:hover, .button.is-danger.is-outlined.is-hovered, .button.is-danger.is-outlined:focus, .button.is-danger.is-outlined.is-focused { + background-color: #da0b00; + border-color: #da0b00; + color: #fff; } + .button.is-danger.is-outlined.is-loading::after { + border-color: transparent transparent #da0b00 #da0b00 !important; } + .button.is-danger.is-outlined.is-loading:hover::after, .button.is-danger.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-outlined.is-loading:focus::after, .button.is-danger.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-danger.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-outlined { + background-color: transparent; + border-color: #da0b00; + box-shadow: none; + color: #da0b00; } + .button.is-danger.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + .button.is-danger.is-inverted.is-outlined:hover, .button.is-danger.is-inverted.is-outlined.is-hovered, .button.is-danger.is-inverted.is-outlined:focus, .button.is-danger.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #da0b00; } + .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #da0b00 #da0b00 !important; } + .button.is-danger.is-inverted.is-outlined[disabled], fieldset[disabled] .button.is-danger.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + .button.is-small, #documenter .docs-sidebar form.docs-search > input.button { + border-radius: 2px; + font-size: 0.75rem; } + .button.is-normal { + font-size: 1rem; } + .button.is-medium { + font-size: 1.25rem; } + .button.is-large { + font-size: 1.5rem; } + .button[disabled], fieldset[disabled] .button { + background-color: white; + border-color: #dbdbdb; + box-shadow: none; + opacity: 0.5; } + .button.is-fullwidth { + display: flex; + width: 100%; } + .button.is-loading { + color: transparent !important; + pointer-events: none; } + .button.is-loading::after { + position: absolute; + left: calc(50% - (1em / 2)); + top: calc(50% - (1em / 2)); + position: absolute !important; } + .button.is-static { + background-color: whitesmoke; + border-color: #dbdbdb; + color: #6b6b6b; + box-shadow: none; + pointer-events: none; } + .button.is-rounded, #documenter .docs-sidebar form.docs-search > input.button { + border-radius: 290486px; + padding-left: 1em; + padding-right: 1em; } + +.buttons { + align-items: center; + display: flex; + flex-wrap: wrap; + justify-content: flex-start; } + .buttons .button { + margin-bottom: 0.5rem; } + .buttons .button:not(:last-child):not(.is-fullwidth) { + margin-right: 0.5rem; } + .buttons:last-child { + margin-bottom: -0.5rem; } + .buttons:not(:last-child) { + margin-bottom: 1rem; } + .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) { + border-radius: 2px; + font-size: 0.75rem; } + .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) { + font-size: 1.25rem; } + .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) { + font-size: 1.5rem; } + .buttons.has-addons .button:not(:first-child) { + border-bottom-left-radius: 0; + border-top-left-radius: 0; } + .buttons.has-addons .button:not(:last-child) { + border-bottom-right-radius: 0; + border-top-right-radius: 0; + margin-right: -1px; } + .buttons.has-addons .button:last-child { + margin-right: 0; } + .buttons.has-addons .button:hover, .buttons.has-addons .button.is-hovered { + z-index: 2; } + .buttons.has-addons .button:focus, .buttons.has-addons .button.is-focused, .buttons.has-addons .button:active, .buttons.has-addons .button.is-active, .buttons.has-addons .button.is-selected { + z-index: 3; } + .buttons.has-addons .button:focus:hover, .buttons.has-addons .button.is-focused:hover, .buttons.has-addons .button:active:hover, .buttons.has-addons .button.is-active:hover, .buttons.has-addons .button.is-selected:hover { + z-index: 4; } + .buttons.has-addons .button.is-expanded { + flex-grow: 1; + flex-shrink: 1; } + .buttons.is-centered { + justify-content: center; } + .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) { + margin-left: 0.25rem; + margin-right: 0.25rem; } + .buttons.is-right { + justify-content: flex-end; } + .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) { + margin-left: 0.25rem; + margin-right: 0.25rem; } + +.container { + flex-grow: 1; + margin: 0 auto; + position: relative; + width: auto; } + @media screen and (min-width: 1056px) { + .container { + max-width: 992px; } + .container.is-fluid { + margin-left: 32px; + margin-right: 32px; + max-width: none; } } + @media screen and (max-width: 1215px) { + .container.is-widescreen { + max-width: 1152px; } } + @media screen and (max-width: 1407px) { + .container.is-fullhd { + max-width: 1344px; } } + @media screen and (min-width: 1216px) { + .container { + max-width: 1152px; } } + @media screen and (min-width: 1408px) { + .container { + max-width: 1344px; } } +.content li + li { + margin-top: 0.25em; } + +.content p:not(:last-child), +.content dl:not(:last-child), +.content ol:not(:last-child), +.content ul:not(:last-child), +.content blockquote:not(:last-child), +.content pre:not(:last-child), +.content table:not(:last-child) { + margin-bottom: 1em; } + +.content h1, +.content h2, +.content h3, +.content h4, +.content h5, +.content h6 { + color: #222222; + font-weight: 600; + line-height: 1.125; } + +.content h1 { + font-size: 2em; + margin-bottom: 0.5em; } + .content h1:not(:first-child) { + margin-top: 1em; } + +.content h2 { + font-size: 1.75em; + margin-bottom: 0.5714em; } + .content h2:not(:first-child) { + margin-top: 1.1428em; } + +.content h3 { + font-size: 1.5em; + margin-bottom: 0.6666em; } + .content h3:not(:first-child) { + margin-top: 1.3333em; } + +.content h4 { + font-size: 1.25em; + margin-bottom: 0.8em; } + +.content h5 { + font-size: 1.125em; + margin-bottom: 0.8888em; } + +.content h6 { + font-size: 1em; + margin-bottom: 1em; } + +.content blockquote { + background-color: whitesmoke; + border-left: 5px solid #dbdbdb; + padding: 1.25em 1.5em; } + +.content ol { + list-style-position: outside; + margin-left: 2em; + margin-top: 1em; } + .content ol:not([type]) { + list-style-type: decimal; } + .content ol.is-lower-alpha:not([type]) { + list-style-type: lower-alpha; } + .content ol.is-lower-roman:not([type]) { + list-style-type: lower-roman; } + .content ol.is-upper-alpha:not([type]) { + list-style-type: upper-alpha; } + .content ol.is-upper-roman:not([type]) { + list-style-type: upper-roman; } + +.content ul { + list-style: disc outside; + margin-left: 2em; + margin-top: 1em; } + .content ul ul { + list-style-type: circle; + margin-top: 0.5em; } + .content ul ul ul { + list-style-type: square; } + +.content dd { + margin-left: 2em; } + +.content figure { + margin-left: 2em; + margin-right: 2em; + text-align: center; } + .content figure:not(:first-child) { + margin-top: 2em; } + .content figure:not(:last-child) { + margin-bottom: 2em; } + .content figure img { + display: inline-block; } + .content figure figcaption { + font-style: italic; } + +.content pre { + -webkit-overflow-scrolling: touch; + overflow-x: auto; + padding: 0; + white-space: pre; + word-wrap: normal; } + +.content sup, +.content sub { + font-size: 75%; } + +.content table { + width: 100%; } + .content table td, + .content table th { + border: 1px solid #dbdbdb; + border-width: 0 0 1px; + padding: 0.5em 0.75em; + vertical-align: top; } + .content table th { + color: #222222; } + .content table th:not([align]) { + text-align: left; } + .content table thead td, + .content table thead th { + border-width: 0 0 2px; + color: #222222; } + .content table tfoot td, + .content table tfoot th { + border-width: 2px 0 0; + color: #222222; } + .content table tbody tr:last-child td, + .content table tbody tr:last-child th { + border-bottom-width: 0; } + +.content .tabs li + li { + margin-top: 0; } + +.content.is-small, #documenter .docs-sidebar form.docs-search > input.content { + font-size: 0.75rem; } + +.content.is-medium { + font-size: 1.25rem; } + +.content.is-large { + font-size: 1.5rem; } + +.icon { + align-items: center; + display: inline-flex; + justify-content: center; + height: 1.5rem; + width: 1.5rem; } + .icon.is-small, #documenter .docs-sidebar form.docs-search > input.icon { + height: 1rem; + width: 1rem; } + .icon.is-medium { + height: 2rem; + width: 2rem; } + .icon.is-large { + height: 3rem; + width: 3rem; } + +.image, #documenter .docs-sidebar .docs-logo > img { + display: block; + position: relative; } + .image img, #documenter .docs-sidebar .docs-logo > img img { + display: block; + height: auto; + width: 100%; } + .image img.is-rounded, #documenter .docs-sidebar .docs-logo > img img.is-rounded { + border-radius: 290486px; } + .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img, + .image.is-square .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img, + .image.is-1by1 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img, + .image.is-5by4 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img, + .image.is-4by3 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img, + .image.is-3by2 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img, + .image.is-5by3 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img, + .image.is-16by9 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img, + .image.is-2by1 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img, + .image.is-3by1 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img, + .image.is-4by5 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img, + .image.is-3by4 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img, + .image.is-2by3 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img, + .image.is-3by5 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img, + .image.is-9by16 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img, + .image.is-1by2 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img, + .image.is-1by3 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio { + height: 100%; + width: 100%; } + .image.is-square, #documenter .docs-sidebar .docs-logo > img.is-square, .image.is-1by1, #documenter .docs-sidebar .docs-logo > img.is-1by1 { + padding-top: 100%; } + .image.is-5by4, #documenter .docs-sidebar .docs-logo > img.is-5by4 { + padding-top: 80%; } + .image.is-4by3, #documenter .docs-sidebar .docs-logo > img.is-4by3 { + padding-top: 75%; } + .image.is-3by2, #documenter .docs-sidebar .docs-logo > img.is-3by2 { + padding-top: 66.6666%; } + .image.is-5by3, #documenter .docs-sidebar .docs-logo > img.is-5by3 { + padding-top: 60%; } + .image.is-16by9, #documenter .docs-sidebar .docs-logo > img.is-16by9 { + padding-top: 56.25%; } + .image.is-2by1, #documenter .docs-sidebar .docs-logo > img.is-2by1 { + padding-top: 50%; } + .image.is-3by1, #documenter .docs-sidebar .docs-logo > img.is-3by1 { + padding-top: 33.3333%; } + .image.is-4by5, #documenter .docs-sidebar .docs-logo > img.is-4by5 { + padding-top: 125%; } + .image.is-3by4, #documenter .docs-sidebar .docs-logo > img.is-3by4 { + padding-top: 133.3333%; } + .image.is-2by3, #documenter .docs-sidebar .docs-logo > img.is-2by3 { + padding-top: 150%; } + .image.is-3by5, #documenter .docs-sidebar .docs-logo > img.is-3by5 { + padding-top: 166.6666%; } + .image.is-9by16, #documenter .docs-sidebar .docs-logo > img.is-9by16 { + padding-top: 177.7777%; } + .image.is-1by2, #documenter .docs-sidebar .docs-logo > img.is-1by2 { + padding-top: 200%; } + .image.is-1by3, #documenter .docs-sidebar .docs-logo > img.is-1by3 { + padding-top: 300%; } + .image.is-16x16, #documenter .docs-sidebar .docs-logo > img.is-16x16 { + height: 16px; + width: 16px; } + .image.is-24x24, #documenter .docs-sidebar .docs-logo > img.is-24x24 { + height: 24px; + width: 24px; } + .image.is-32x32, #documenter .docs-sidebar .docs-logo > img.is-32x32 { + height: 32px; + width: 32px; } + .image.is-48x48, #documenter .docs-sidebar .docs-logo > img.is-48x48 { + height: 48px; + width: 48px; } + .image.is-64x64, #documenter .docs-sidebar .docs-logo > img.is-64x64 { + height: 64px; + width: 64px; } + .image.is-96x96, #documenter .docs-sidebar .docs-logo > img.is-96x96 { + height: 96px; + width: 96px; } + .image.is-128x128, #documenter .docs-sidebar .docs-logo > img.is-128x128 { + height: 128px; + width: 128px; } + +.notification { + background-color: whitesmoke; + border-radius: 4px; + padding: 1.25rem 2.5rem 1.25rem 1.5rem; + position: relative; } + .notification a:not(.button):not(.dropdown-item) { + color: currentColor; + text-decoration: underline; } + .notification strong { + color: currentColor; } + .notification code, + .notification pre { + background: white; } + .notification pre code { + background: transparent; } + .notification > .delete { + position: absolute; + right: 0.5rem; + top: 0.5rem; } + .notification .title, + .notification .subtitle, + .notification .content { + color: currentColor; } + .notification.is-white { + background-color: white; + color: #0a0a0a; } + .notification.is-black { + background-color: #0a0a0a; + color: white; } + .notification.is-light { + background-color: whitesmoke; + color: #363636; } + .notification.is-dark, .content kbd.notification { + background-color: #363636; + color: whitesmoke; } + .notification.is-primary, .docstring > section > a.notification.docs-sourcelink { + background-color: #4eb5de; + color: #fff; } + .notification.is-link { + background-color: #2e63b8; + color: #fff; } + .notification.is-info { + background-color: #209cee; + color: #fff; } + .notification.is-success { + background-color: #22c35b; + color: #fff; } + .notification.is-warning { + background-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } + .notification.is-danger { + background-color: #da0b00; + color: #fff; } + +.progress { + -moz-appearance: none; + -webkit-appearance: none; + border: none; + border-radius: 290486px; + display: block; + height: 1rem; + overflow: hidden; + padding: 0; + width: 100%; } + .progress::-webkit-progress-bar { + background-color: #dbdbdb; } + .progress::-webkit-progress-value { + background-color: #222222; } + .progress::-moz-progress-bar { + background-color: #222222; } + .progress::-ms-fill { + background-color: #222222; + border: none; } + .progress.is-white::-webkit-progress-value { + background-color: white; } + .progress.is-white::-moz-progress-bar { + background-color: white; } + .progress.is-white::-ms-fill { + background-color: white; } + .progress.is-white:indeterminate { + background-image: linear-gradient(to right, white 30%, #dbdbdb 30%); } + .progress.is-black::-webkit-progress-value { + background-color: #0a0a0a; } + .progress.is-black::-moz-progress-bar { + background-color: #0a0a0a; } + .progress.is-black::-ms-fill { + background-color: #0a0a0a; } + .progress.is-black:indeterminate { + background-image: linear-gradient(to right, #0a0a0a 30%, #dbdbdb 30%); } + .progress.is-light::-webkit-progress-value { + background-color: whitesmoke; } + .progress.is-light::-moz-progress-bar { + background-color: whitesmoke; } + .progress.is-light::-ms-fill { + background-color: whitesmoke; } + .progress.is-light:indeterminate { + background-image: linear-gradient(to right, whitesmoke 30%, #dbdbdb 30%); } + .progress.is-dark::-webkit-progress-value, .content kbd.progress::-webkit-progress-value { + background-color: #363636; } + .progress.is-dark::-moz-progress-bar, .content kbd.progress::-moz-progress-bar { + background-color: #363636; } + .progress.is-dark::-ms-fill, .content kbd.progress::-ms-fill { + background-color: #363636; } + .progress.is-dark:indeterminate, .content kbd.progress:indeterminate { + background-image: linear-gradient(to right, #363636 30%, #dbdbdb 30%); } + .progress.is-primary::-webkit-progress-value, .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value { + background-color: #4eb5de; } + .progress.is-primary::-moz-progress-bar, .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar { + background-color: #4eb5de; } + .progress.is-primary::-ms-fill, .docstring > section > a.progress.docs-sourcelink::-ms-fill { + background-color: #4eb5de; } + .progress.is-primary:indeterminate, .docstring > section > a.progress.docs-sourcelink:indeterminate { + background-image: linear-gradient(to right, #4eb5de 30%, #dbdbdb 30%); } + .progress.is-link::-webkit-progress-value { + background-color: #2e63b8; } + .progress.is-link::-moz-progress-bar { + background-color: #2e63b8; } + .progress.is-link::-ms-fill { + background-color: #2e63b8; } + .progress.is-link:indeterminate { + background-image: linear-gradient(to right, #2e63b8 30%, #dbdbdb 30%); } + .progress.is-info::-webkit-progress-value { + background-color: #209cee; } + .progress.is-info::-moz-progress-bar { + background-color: #209cee; } + .progress.is-info::-ms-fill { + background-color: #209cee; } + .progress.is-info:indeterminate { + background-image: linear-gradient(to right, #209cee 30%, #dbdbdb 30%); } + .progress.is-success::-webkit-progress-value { + background-color: #22c35b; } + .progress.is-success::-moz-progress-bar { + background-color: #22c35b; } + .progress.is-success::-ms-fill { + background-color: #22c35b; } + .progress.is-success:indeterminate { + background-image: linear-gradient(to right, #22c35b 30%, #dbdbdb 30%); } + .progress.is-warning::-webkit-progress-value { + background-color: #ffdd57; } + .progress.is-warning::-moz-progress-bar { + background-color: #ffdd57; } + .progress.is-warning::-ms-fill { + background-color: #ffdd57; } + .progress.is-warning:indeterminate { + background-image: linear-gradient(to right, #ffdd57 30%, #dbdbdb 30%); } + .progress.is-danger::-webkit-progress-value { + background-color: #da0b00; } + .progress.is-danger::-moz-progress-bar { + background-color: #da0b00; } + .progress.is-danger::-ms-fill { + background-color: #da0b00; } + .progress.is-danger:indeterminate { + background-image: linear-gradient(to right, #da0b00 30%, #dbdbdb 30%); } + .progress:indeterminate { + animation-duration: 1.5s; + animation-iteration-count: infinite; + animation-name: moveIndeterminate; + animation-timing-function: linear; + background-color: #dbdbdb; + background-image: linear-gradient(to right, #222222 30%, #dbdbdb 30%); + background-position: top left; + background-repeat: no-repeat; + background-size: 150% 150%; } + .progress:indeterminate::-webkit-progress-bar { + background-color: transparent; } + .progress:indeterminate::-moz-progress-bar { + background-color: transparent; } + .progress.is-small, #documenter .docs-sidebar form.docs-search > input.progress { + height: 0.75rem; } + .progress.is-medium { + height: 1.25rem; } + .progress.is-large { + height: 1.5rem; } + +@keyframes moveIndeterminate { + from { + background-position: 200% 0; } + to { + background-position: -200% 0; } } + +.table { + background-color: white; + color: #363636; } + .table td, + .table th { + border: 1px solid #dbdbdb; + border-width: 0 0 1px; + padding: 0.5em 0.75em; + vertical-align: top; } + .table td.is-white, + .table th.is-white { + background-color: white; + border-color: white; + color: #0a0a0a; } + .table td.is-black, + .table th.is-black { + background-color: #0a0a0a; + border-color: #0a0a0a; + color: white; } + .table td.is-light, + .table th.is-light { + background-color: whitesmoke; + border-color: whitesmoke; + color: #363636; } + .table td.is-dark, + .table th.is-dark { + background-color: #363636; + border-color: #363636; + color: whitesmoke; } + .table td.is-primary, + .table th.is-primary { + background-color: #4eb5de; + border-color: #4eb5de; + color: #fff; } + .table td.is-link, + .table th.is-link { + background-color: #2e63b8; + border-color: #2e63b8; + color: #fff; } + .table td.is-info, + .table th.is-info { + background-color: #209cee; + border-color: #209cee; + color: #fff; } + .table td.is-success, + .table th.is-success { + background-color: #22c35b; + border-color: #22c35b; + color: #fff; } + .table td.is-warning, + .table th.is-warning { + background-color: #ffdd57; + border-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } + .table td.is-danger, + .table th.is-danger { + background-color: #da0b00; + border-color: #da0b00; + color: #fff; } + .table td.is-narrow, + .table th.is-narrow { + white-space: nowrap; + width: 1%; } + .table td.is-selected, + .table th.is-selected { + background-color: #4eb5de; + color: #fff; } + .table td.is-selected a, + .table td.is-selected strong, + .table th.is-selected a, + .table th.is-selected strong { + color: currentColor; } + .table th { + color: #222222; } + .table th:not([align]) { + text-align: left; } + .table tr.is-selected { + background-color: #4eb5de; + color: #fff; } + .table tr.is-selected a, + .table tr.is-selected strong { + color: currentColor; } + .table tr.is-selected td, + .table tr.is-selected th { + border-color: #fff; + color: currentColor; } + .table thead { + background-color: transparent; } + .table thead td, + .table thead th { + border-width: 0 0 2px; + color: #222222; } + .table tfoot { + background-color: transparent; } + .table tfoot td, + .table tfoot th { + border-width: 2px 0 0; + color: #222222; } + .table tbody { + background-color: transparent; } + .table tbody tr:last-child td, + .table tbody tr:last-child th { + border-bottom-width: 0; } + .table.is-bordered td, + .table.is-bordered th { + border-width: 1px; } + .table.is-bordered tr:last-child td, + .table.is-bordered tr:last-child th { + border-bottom-width: 1px; } + .table.is-fullwidth { + width: 100%; } + .table.is-hoverable tbody tr:not(.is-selected):hover { + background-color: #fafafa; } + .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover { + background-color: #fafafa; } + .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) { + background-color: whitesmoke; } + .table.is-narrow td, + .table.is-narrow th { + padding: 0.25em 0.5em; } + .table.is-striped tbody tr:not(.is-selected):nth-child(even) { + background-color: #fafafa; } + +.table-container { + -webkit-overflow-scrolling: touch; + overflow: auto; + overflow-y: hidden; + max-width: 100%; } + +.tags { + align-items: center; + display: flex; + flex-wrap: wrap; + justify-content: flex-start; } + .tags .tag, .tags .content kbd, .content .tags kbd, .tags .docstring > section > a.docs-sourcelink { + margin-bottom: 0.5rem; } + .tags .tag:not(:last-child), .tags .content kbd:not(:last-child), .content .tags kbd:not(:last-child), .tags .docstring > section > a.docs-sourcelink:not(:last-child) { + margin-right: 0.5rem; } + .tags:last-child { + margin-bottom: -0.5rem; } + .tags:not(:last-child) { + margin-bottom: 1rem; } + .tags.are-medium .tag:not(.is-normal):not(.is-large), .tags.are-medium .content kbd:not(.is-normal):not(.is-large), .content .tags.are-medium kbd:not(.is-normal):not(.is-large), .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large) { + font-size: 1rem; } + .tags.are-large .tag:not(.is-normal):not(.is-medium), .tags.are-large .content kbd:not(.is-normal):not(.is-medium), .content .tags.are-large kbd:not(.is-normal):not(.is-medium), .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium) { + font-size: 1.25rem; } + .tags.is-centered { + justify-content: center; } + .tags.is-centered .tag, .tags.is-centered .content kbd, .content .tags.is-centered kbd, .tags.is-centered .docstring > section > a.docs-sourcelink { + margin-right: 0.25rem; + margin-left: 0.25rem; } + .tags.is-right { + justify-content: flex-end; } + .tags.is-right .tag:not(:first-child), .tags.is-right .content kbd:not(:first-child), .content .tags.is-right kbd:not(:first-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child) { + margin-left: 0.5rem; } + .tags.is-right .tag:not(:last-child), .tags.is-right .content kbd:not(:last-child), .content .tags.is-right kbd:not(:last-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child) { + margin-right: 0; } + .tags.has-addons .tag, .tags.has-addons .content kbd, .content .tags.has-addons kbd, .tags.has-addons .docstring > section > a.docs-sourcelink { + margin-right: 0; } + .tags.has-addons .tag:not(:first-child), .tags.has-addons .content kbd:not(:first-child), .content .tags.has-addons kbd:not(:first-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child) { + margin-left: 0; + border-bottom-left-radius: 0; + border-top-left-radius: 0; } + .tags.has-addons .tag:not(:last-child), .tags.has-addons .content kbd:not(:last-child), .content .tags.has-addons kbd:not(:last-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child) { + border-bottom-right-radius: 0; + border-top-right-radius: 0; } + +.tag:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink:not(body) { + align-items: center; + background-color: whitesmoke; + border-radius: 4px; + color: #222222; + display: inline-flex; + font-size: 0.75rem; + height: 2em; + justify-content: center; + line-height: 1.5; + padding-left: 0.75em; + padding-right: 0.75em; + white-space: nowrap; } + .tag:not(body) .delete, .content kbd:not(body) .delete, .docstring > section > a.docs-sourcelink:not(body) .delete { + margin-left: 0.25rem; + margin-right: -0.375rem; } + .tag.is-white:not(body), .content kbd.is-white:not(body), .docstring > section > a.docs-sourcelink.is-white:not(body) { + background-color: white; + color: #0a0a0a; } + .tag.is-black:not(body), .content kbd.is-black:not(body), .docstring > section > a.docs-sourcelink.is-black:not(body) { + background-color: #0a0a0a; + color: white; } + .tag.is-light:not(body), .content kbd.is-light:not(body), .docstring > section > a.docs-sourcelink.is-light:not(body) { + background-color: whitesmoke; + color: #363636; } + .tag.is-dark:not(body), .content kbd:not(body), .docstring > section > a.docs-sourcelink.is-dark:not(body), .content .docstring > section > kbd:not(body) { + background-color: #363636; + color: whitesmoke; } + .tag.is-primary:not(body), .content kbd.is-primary:not(body), .docstring > section > a.docs-sourcelink:not(body) { + background-color: #4eb5de; + color: #fff; } + .tag.is-link:not(body), .content kbd.is-link:not(body), .docstring > section > a.docs-sourcelink.is-link:not(body) { + background-color: #2e63b8; + color: #fff; } + .tag.is-info:not(body), .content kbd.is-info:not(body), .docstring > section > a.docs-sourcelink.is-info:not(body) { + background-color: #209cee; + color: #fff; } + .tag.is-success:not(body), .content kbd.is-success:not(body), .docstring > section > a.docs-sourcelink.is-success:not(body) { + background-color: #22c35b; + color: #fff; } + .tag.is-warning:not(body), .content kbd.is-warning:not(body), .docstring > section > a.docs-sourcelink.is-warning:not(body) { + background-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } + .tag.is-danger:not(body), .content kbd.is-danger:not(body), .docstring > section > a.docs-sourcelink.is-danger:not(body) { + background-color: #da0b00; + color: #fff; } + .tag.is-normal:not(body), .content kbd.is-normal:not(body), .docstring > section > a.docs-sourcelink.is-normal:not(body) { + font-size: 0.75rem; } + .tag.is-medium:not(body), .content kbd.is-medium:not(body), .docstring > section > a.docs-sourcelink.is-medium:not(body) { + font-size: 1rem; } + .tag.is-large:not(body), .content kbd.is-large:not(body), .docstring > section > a.docs-sourcelink.is-large:not(body) { + font-size: 1.25rem; } + .tag:not(body) .icon:first-child:not(:last-child), .content kbd:not(body) .icon:first-child:not(:last-child), .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child) { + margin-left: -0.375em; + margin-right: 0.1875em; } + .tag:not(body) .icon:last-child:not(:first-child), .content kbd:not(body) .icon:last-child:not(:first-child), .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child) { + margin-left: 0.1875em; + margin-right: -0.375em; } + .tag:not(body) .icon:first-child:last-child, .content kbd:not(body) .icon:first-child:last-child, .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child { + margin-left: -0.375em; + margin-right: -0.375em; } + .tag.is-delete:not(body), .content kbd.is-delete:not(body), .docstring > section > a.docs-sourcelink.is-delete:not(body) { + margin-left: 1px; + padding: 0; + position: relative; + width: 2em; } + .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before, .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after { + background-color: currentColor; + content: ""; + display: block; + left: 50%; + position: absolute; + top: 50%; + transform: translateX(-50%) translateY(-50%) rotate(45deg); + transform-origin: center center; } + .tag.is-delete:not(body)::before, .content kbd.is-delete:not(body)::before, .docstring > section > a.docs-sourcelink.is-delete:not(body)::before { + height: 1px; + width: 50%; } + .tag.is-delete:not(body)::after, .content kbd.is-delete:not(body)::after, .docstring > section > a.docs-sourcelink.is-delete:not(body)::after { + height: 50%; + width: 1px; } + .tag.is-delete:not(body):hover, .content kbd.is-delete:not(body):hover, .docstring > section > a.docs-sourcelink.is-delete:not(body):hover, .tag.is-delete:not(body):focus, .content kbd.is-delete:not(body):focus, .docstring > section > a.docs-sourcelink.is-delete:not(body):focus { + background-color: #e8e8e8; } + .tag.is-delete:not(body):active, .content kbd.is-delete:not(body):active, .docstring > section > a.docs-sourcelink.is-delete:not(body):active { + background-color: #dbdbdb; } + .tag.is-rounded:not(body), #documenter .docs-sidebar form.docs-search > input:not(body), .content kbd.is-rounded:not(body), #documenter .docs-sidebar .content form.docs-search > input:not(body), .docstring > section > a.docs-sourcelink.is-rounded:not(body) { + border-radius: 290486px; } + +a.tag:hover, .docstring > section > a.docs-sourcelink:hover { + text-decoration: underline; } + +.title, +.subtitle { + word-break: break-word; } + .title em, + .title span, + .subtitle em, + .subtitle span { + font-weight: inherit; } + .title sub, + .subtitle sub { + font-size: 0.75em; } + .title sup, + .subtitle sup { + font-size: 0.75em; } + .title .tag, .title .content kbd, .content .title kbd, .title .docstring > section > a.docs-sourcelink, + .subtitle .tag, + .subtitle .content kbd, + .content .subtitle kbd, + .subtitle .docstring > section > a.docs-sourcelink { + vertical-align: middle; } + +.title { + color: #363636; + font-size: 2rem; + font-weight: 600; + line-height: 1.125; } + .title strong { + color: inherit; + font-weight: inherit; } + .title + .highlight { + margin-top: -0.75rem; } + .title:not(.is-spaced) + .subtitle { + margin-top: -1.25rem; } + .title.is-1 { + font-size: 3rem; } + .title.is-2 { + font-size: 2.5rem; } + .title.is-3 { + font-size: 2rem; } + .title.is-4 { + font-size: 1.5rem; } + .title.is-5 { + font-size: 1.25rem; } + .title.is-6 { + font-size: 1rem; } + .title.is-7 { + font-size: 0.75rem; } + +.subtitle { + color: #4a4a4a; + font-size: 1.25rem; + font-weight: 400; + line-height: 1.25; } + .subtitle strong { + color: #363636; + font-weight: 600; } + .subtitle:not(.is-spaced) + .title { + margin-top: -1.25rem; } + .subtitle.is-1 { + font-size: 3rem; } + .subtitle.is-2 { + font-size: 2.5rem; } + .subtitle.is-3 { + font-size: 2rem; } + .subtitle.is-4 { + font-size: 1.5rem; } + .subtitle.is-5 { + font-size: 1.25rem; } + .subtitle.is-6 { + font-size: 1rem; } + .subtitle.is-7 { + font-size: 0.75rem; } + +.heading { + display: block; + font-size: 11px; + letter-spacing: 1px; + margin-bottom: 5px; + text-transform: uppercase; } + +.highlight { + font-weight: 400; + max-width: 100%; + overflow: hidden; + padding: 0; } + .highlight pre { + overflow: auto; + max-width: 100%; } + +.number { + align-items: center; + background-color: whitesmoke; + border-radius: 290486px; + display: inline-flex; + font-size: 1.25rem; + height: 2em; + justify-content: center; + margin-right: 1.5rem; + min-width: 2.5em; + padding: 0.25rem 0.5rem; + text-align: center; + vertical-align: top; } + +.select select, .textarea, .input, #documenter .docs-sidebar form.docs-search > input { + background-color: white; + border-color: #dbdbdb; + border-radius: 4px; + color: #363636; } + .select select::-moz-placeholder, .textarea::-moz-placeholder, .input::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input::-moz-placeholder { + color: rgba(54, 54, 54, 0.3); } + .select select::-webkit-input-placeholder, .textarea::-webkit-input-placeholder, .input::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder { + color: rgba(54, 54, 54, 0.3); } + .select select:-moz-placeholder, .textarea:-moz-placeholder, .input:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input:-moz-placeholder { + color: rgba(54, 54, 54, 0.3); } + .select select:-ms-input-placeholder, .textarea:-ms-input-placeholder, .input:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder { + color: rgba(54, 54, 54, 0.3); } + .select select:hover, .textarea:hover, .input:hover, #documenter .docs-sidebar form.docs-search > input:hover, .select select.is-hovered, .is-hovered.textarea, .is-hovered.input, #documenter .docs-sidebar form.docs-search > input.is-hovered { + border-color: #b5b5b5; } + .select select:focus, .textarea:focus, .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .select select.is-focused, .is-focused.textarea, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .select select:active, .textarea:active, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .select select.is-active, .is-active.textarea, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { + border-color: #2e63b8; + box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } + .select select[disabled], .textarea[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], fieldset[disabled] .select select, .select fieldset[disabled] select, fieldset[disabled] .textarea, fieldset[disabled] .input, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input { + background-color: whitesmoke; + border-color: whitesmoke; + box-shadow: none; + color: #6b6b6b; } + .select select[disabled]::-moz-placeholder, .textarea[disabled]::-moz-placeholder, .input[disabled]::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, fieldset[disabled] .select select::-moz-placeholder, .select fieldset[disabled] select::-moz-placeholder, fieldset[disabled] .textarea::-moz-placeholder, fieldset[disabled] .input::-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-moz-placeholder { + color: rgba(107, 107, 107, 0.3); } + .select select[disabled]::-webkit-input-placeholder, .textarea[disabled]::-webkit-input-placeholder, .input[disabled]::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, fieldset[disabled] .select select::-webkit-input-placeholder, .select fieldset[disabled] select::-webkit-input-placeholder, fieldset[disabled] .textarea::-webkit-input-placeholder, fieldset[disabled] .input::-webkit-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-webkit-input-placeholder { + color: rgba(107, 107, 107, 0.3); } + .select select[disabled]:-moz-placeholder, .textarea[disabled]:-moz-placeholder, .input[disabled]:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, fieldset[disabled] .select select:-moz-placeholder, .select fieldset[disabled] select:-moz-placeholder, fieldset[disabled] .textarea:-moz-placeholder, fieldset[disabled] .input:-moz-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-moz-placeholder { + color: rgba(107, 107, 107, 0.3); } + .select select[disabled]:-ms-input-placeholder, .textarea[disabled]:-ms-input-placeholder, .input[disabled]:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, fieldset[disabled] .select select:-ms-input-placeholder, .select fieldset[disabled] select:-ms-input-placeholder, fieldset[disabled] .textarea:-ms-input-placeholder, fieldset[disabled] .input:-ms-input-placeholder, fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-ms-input-placeholder { + color: rgba(107, 107, 107, 0.3); } + +.textarea, .input, #documenter .docs-sidebar form.docs-search > input { + box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1); + max-width: 100%; + width: 100%; } + .textarea[readonly], .input[readonly], #documenter .docs-sidebar form.docs-search > input[readonly] { + box-shadow: none; } + .is-white.textarea, .is-white.input, #documenter .docs-sidebar form.docs-search > input.is-white { + border-color: white; } + .is-white.textarea:focus, .is-white.input:focus, #documenter .docs-sidebar form.docs-search > input.is-white:focus, .is-white.is-focused.textarea, .is-white.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-white.textarea:active, .is-white.input:active, #documenter .docs-sidebar form.docs-search > input.is-white:active, .is-white.is-active.textarea, .is-white.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } + .is-black.textarea, .is-black.input, #documenter .docs-sidebar form.docs-search > input.is-black { + border-color: #0a0a0a; } + .is-black.textarea:focus, .is-black.input:focus, #documenter .docs-sidebar form.docs-search > input.is-black:focus, .is-black.is-focused.textarea, .is-black.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-black.textarea:active, .is-black.input:active, #documenter .docs-sidebar form.docs-search > input.is-black:active, .is-black.is-active.textarea, .is-black.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } + .is-light.textarea, .is-light.input, #documenter .docs-sidebar form.docs-search > input.is-light { + border-color: whitesmoke; } + .is-light.textarea:focus, .is-light.input:focus, #documenter .docs-sidebar form.docs-search > input.is-light:focus, .is-light.is-focused.textarea, .is-light.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-light.textarea:active, .is-light.input:active, #documenter .docs-sidebar form.docs-search > input.is-light:active, .is-light.is-active.textarea, .is-light.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); } + .is-dark.textarea, .content kbd.textarea, .is-dark.input, #documenter .docs-sidebar form.docs-search > input.is-dark, .content kbd.input { + border-color: #363636; } + .is-dark.textarea:focus, .content kbd.textarea:focus, .is-dark.input:focus, #documenter .docs-sidebar form.docs-search > input.is-dark:focus, .content kbd.input:focus, .is-dark.is-focused.textarea, .content kbd.is-focused.textarea, .is-dark.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .content kbd.is-focused.input, #documenter .docs-sidebar .content form.docs-search > input.is-focused, .is-dark.textarea:active, .content kbd.textarea:active, .is-dark.input:active, #documenter .docs-sidebar form.docs-search > input.is-dark:active, .content kbd.input:active, .is-dark.is-active.textarea, .content kbd.is-active.textarea, .is-dark.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .content kbd.is-active.input, #documenter .docs-sidebar .content form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); } + .is-primary.textarea, .docstring > section > a.textarea.docs-sourcelink, .is-primary.input, #documenter .docs-sidebar form.docs-search > input.is-primary, .docstring > section > a.input.docs-sourcelink { + border-color: #4eb5de; } + .is-primary.textarea:focus, .docstring > section > a.textarea.docs-sourcelink:focus, .is-primary.input:focus, #documenter .docs-sidebar form.docs-search > input.is-primary:focus, .docstring > section > a.input.docs-sourcelink:focus, .is-primary.is-focused.textarea, .docstring > section > a.is-focused.textarea.docs-sourcelink, .is-primary.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .docstring > section > a.is-focused.input.docs-sourcelink, .is-primary.textarea:active, .docstring > section > a.textarea.docs-sourcelink:active, .is-primary.input:active, #documenter .docs-sidebar form.docs-search > input.is-primary:active, .docstring > section > a.input.docs-sourcelink:active, .is-primary.is-active.textarea, .docstring > section > a.is-active.textarea.docs-sourcelink, .is-primary.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .docstring > section > a.is-active.input.docs-sourcelink { + box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); } + .is-link.textarea, .is-link.input, #documenter .docs-sidebar form.docs-search > input.is-link { + border-color: #2e63b8; } + .is-link.textarea:focus, .is-link.input:focus, #documenter .docs-sidebar form.docs-search > input.is-link:focus, .is-link.is-focused.textarea, .is-link.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-link.textarea:active, .is-link.input:active, #documenter .docs-sidebar form.docs-search > input.is-link:active, .is-link.is-active.textarea, .is-link.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } + .is-info.textarea, .is-info.input, #documenter .docs-sidebar form.docs-search > input.is-info { + border-color: #209cee; } + .is-info.textarea:focus, .is-info.input:focus, #documenter .docs-sidebar form.docs-search > input.is-info:focus, .is-info.is-focused.textarea, .is-info.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-info.textarea:active, .is-info.input:active, #documenter .docs-sidebar form.docs-search > input.is-info:active, .is-info.is-active.textarea, .is-info.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); } + .is-success.textarea, .is-success.input, #documenter .docs-sidebar form.docs-search > input.is-success { + border-color: #22c35b; } + .is-success.textarea:focus, .is-success.input:focus, #documenter .docs-sidebar form.docs-search > input.is-success:focus, .is-success.is-focused.textarea, .is-success.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-success.textarea:active, .is-success.input:active, #documenter .docs-sidebar form.docs-search > input.is-success:active, .is-success.is-active.textarea, .is-success.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); } + .is-warning.textarea, .is-warning.input, #documenter .docs-sidebar form.docs-search > input.is-warning { + border-color: #ffdd57; } + .is-warning.textarea:focus, .is-warning.input:focus, #documenter .docs-sidebar form.docs-search > input.is-warning:focus, .is-warning.is-focused.textarea, .is-warning.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-warning.textarea:active, .is-warning.input:active, #documenter .docs-sidebar form.docs-search > input.is-warning:active, .is-warning.is-active.textarea, .is-warning.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); } + .is-danger.textarea, .is-danger.input, #documenter .docs-sidebar form.docs-search > input.is-danger { + border-color: #da0b00; } + .is-danger.textarea:focus, .is-danger.input:focus, #documenter .docs-sidebar form.docs-search > input.is-danger:focus, .is-danger.is-focused.textarea, .is-danger.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-danger.textarea:active, .is-danger.input:active, #documenter .docs-sidebar form.docs-search > input.is-danger:active, .is-danger.is-active.textarea, .is-danger.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active { + box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); } + .is-small.textarea, .is-small.input, #documenter .docs-sidebar form.docs-search > input { + border-radius: 2px; + font-size: 0.75rem; } + .is-medium.textarea, .is-medium.input, #documenter .docs-sidebar form.docs-search > input.is-medium { + font-size: 1.25rem; } + .is-large.textarea, .is-large.input, #documenter .docs-sidebar form.docs-search > input.is-large { + font-size: 1.5rem; } + .is-fullwidth.textarea, .is-fullwidth.input, #documenter .docs-sidebar form.docs-search > input.is-fullwidth { + display: block; + width: 100%; } + .is-inline.textarea, .is-inline.input, #documenter .docs-sidebar form.docs-search > input.is-inline { + display: inline; + width: auto; } + +.input.is-rounded, #documenter .docs-sidebar form.docs-search > input { + border-radius: 290486px; + padding-left: 1em; + padding-right: 1em; } + +.input.is-static, #documenter .docs-sidebar form.docs-search > input.is-static { + background-color: transparent; + border-color: transparent; + box-shadow: none; + padding-left: 0; + padding-right: 0; } + +.textarea { + display: block; + max-width: 100%; + min-width: 100%; + padding: 0.625em; + resize: vertical; } + .textarea:not([rows]) { + max-height: 600px; + min-height: 120px; } + .textarea[rows] { + height: initial; } + .textarea.has-fixed-size { + resize: none; } + +.radio, .checkbox { + cursor: pointer; + display: inline-block; + line-height: 1.25; + position: relative; } + .radio input, .checkbox input { + cursor: pointer; } + .radio:hover, .checkbox:hover { + color: #363636; } + .radio[disabled], .checkbox[disabled], fieldset[disabled] .radio, fieldset[disabled] .checkbox { + color: #6b6b6b; + cursor: not-allowed; } + +.radio + .radio { + margin-left: 0.5em; } + +.select { + display: inline-block; + max-width: 100%; + position: relative; + vertical-align: top; } + .select:not(.is-multiple) { + height: 2.25em; } + .select:not(.is-multiple):not(.is-loading)::after { + border-color: #2e63b8; + right: 1.125em; + z-index: 4; } + .select.is-rounded select, #documenter .docs-sidebar form.docs-search > input.select select { + border-radius: 290486px; + padding-left: 1em; } + .select select { + cursor: pointer; + display: block; + font-size: 1em; + max-width: 100%; + outline: none; } + .select select::-ms-expand { + display: none; } + .select select[disabled]:hover, fieldset[disabled] .select select:hover { + border-color: whitesmoke; } + .select select:not([multiple]) { + padding-right: 2.5em; } + .select select[multiple] { + height: auto; + padding: 0; } + .select select[multiple] option { + padding: 0.5em 1em; } + .select:not(.is-multiple):not(.is-loading):hover::after { + border-color: #363636; } + .select.is-white:not(:hover)::after { + border-color: white; } + .select.is-white select { + border-color: white; } + .select.is-white select:hover, .select.is-white select.is-hovered { + border-color: #f2f2f2; } + .select.is-white select:focus, .select.is-white select.is-focused, .select.is-white select:active, .select.is-white select.is-active { + box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } + .select.is-black:not(:hover)::after { + border-color: #0a0a0a; } + .select.is-black select { + border-color: #0a0a0a; } + .select.is-black select:hover, .select.is-black select.is-hovered { + border-color: black; } + .select.is-black select:focus, .select.is-black select.is-focused, .select.is-black select:active, .select.is-black select.is-active { + box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } + .select.is-light:not(:hover)::after { + border-color: whitesmoke; } + .select.is-light select { + border-color: whitesmoke; } + .select.is-light select:hover, .select.is-light select.is-hovered { + border-color: #e8e8e8; } + .select.is-light select:focus, .select.is-light select.is-focused, .select.is-light select:active, .select.is-light select.is-active { + box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); } + .select.is-dark:not(:hover)::after, .content kbd.select:not(:hover)::after { + border-color: #363636; } + .select.is-dark select, .content kbd.select select { + border-color: #363636; } + .select.is-dark select:hover, .content kbd.select select:hover, .select.is-dark select.is-hovered, .content kbd.select select.is-hovered { + border-color: #292929; } + .select.is-dark select:focus, .content kbd.select select:focus, .select.is-dark select.is-focused, .content kbd.select select.is-focused, .select.is-dark select:active, .content kbd.select select:active, .select.is-dark select.is-active, .content kbd.select select.is-active { + box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); } + .select.is-primary:not(:hover)::after, .docstring > section > a.select.docs-sourcelink:not(:hover)::after { + border-color: #4eb5de; } + .select.is-primary select, .docstring > section > a.select.docs-sourcelink select { + border-color: #4eb5de; } + .select.is-primary select:hover, .docstring > section > a.select.docs-sourcelink select:hover, .select.is-primary select.is-hovered, .docstring > section > a.select.docs-sourcelink select.is-hovered { + border-color: #39acda; } + .select.is-primary select:focus, .docstring > section > a.select.docs-sourcelink select:focus, .select.is-primary select.is-focused, .docstring > section > a.select.docs-sourcelink select.is-focused, .select.is-primary select:active, .docstring > section > a.select.docs-sourcelink select:active, .select.is-primary select.is-active, .docstring > section > a.select.docs-sourcelink select.is-active { + box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); } + .select.is-link:not(:hover)::after { + border-color: #2e63b8; } + .select.is-link select { + border-color: #2e63b8; } + .select.is-link select:hover, .select.is-link select.is-hovered { + border-color: #2958a4; } + .select.is-link select:focus, .select.is-link select.is-focused, .select.is-link select:active, .select.is-link select.is-active { + box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } + .select.is-info:not(:hover)::after { + border-color: #209cee; } + .select.is-info select { + border-color: #209cee; } + .select.is-info select:hover, .select.is-info select.is-hovered { + border-color: #1190e3; } + .select.is-info select:focus, .select.is-info select.is-focused, .select.is-info select:active, .select.is-info select.is-active { + box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); } + .select.is-success:not(:hover)::after { + border-color: #22c35b; } + .select.is-success select { + border-color: #22c35b; } + .select.is-success select:hover, .select.is-success select.is-hovered { + border-color: #1ead51; } + .select.is-success select:focus, .select.is-success select.is-focused, .select.is-success select:active, .select.is-success select.is-active { + box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); } + .select.is-warning:not(:hover)::after { + border-color: #ffdd57; } + .select.is-warning select { + border-color: #ffdd57; } + .select.is-warning select:hover, .select.is-warning select.is-hovered { + border-color: #ffd83e; } + .select.is-warning select:focus, .select.is-warning select.is-focused, .select.is-warning select:active, .select.is-warning select.is-active { + box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); } + .select.is-danger:not(:hover)::after { + border-color: #da0b00; } + .select.is-danger select { + border-color: #da0b00; } + .select.is-danger select:hover, .select.is-danger select.is-hovered { + border-color: #c10a00; } + .select.is-danger select:focus, .select.is-danger select.is-focused, .select.is-danger select:active, .select.is-danger select.is-active { + box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); } + .select.is-small, #documenter .docs-sidebar form.docs-search > input.select { + border-radius: 2px; + font-size: 0.75rem; } + .select.is-medium { + font-size: 1.25rem; } + .select.is-large { + font-size: 1.5rem; } + .select.is-disabled::after { + border-color: #6b6b6b; } + .select.is-fullwidth { + width: 100%; } + .select.is-fullwidth select { + width: 100%; } + .select.is-loading::after { + margin-top: 0; + position: absolute; + right: 0.625em; + top: 0.625em; + transform: none; } + .select.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after { + font-size: 0.75rem; } + .select.is-loading.is-medium:after { + font-size: 1.25rem; } + .select.is-loading.is-large:after { + font-size: 1.5rem; } + +.file { + align-items: stretch; + display: flex; + justify-content: flex-start; + position: relative; } + .file.is-white .file-cta { + background-color: white; + border-color: transparent; + color: #0a0a0a; } + .file.is-white:hover .file-cta, .file.is-white.is-hovered .file-cta { + background-color: #f9f9f9; + border-color: transparent; + color: #0a0a0a; } + .file.is-white:focus .file-cta, .file.is-white.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25); + color: #0a0a0a; } + .file.is-white:active .file-cta, .file.is-white.is-active .file-cta { + background-color: #f2f2f2; + border-color: transparent; + color: #0a0a0a; } + .file.is-black .file-cta { + background-color: #0a0a0a; + border-color: transparent; + color: white; } + .file.is-black:hover .file-cta, .file.is-black.is-hovered .file-cta { + background-color: #040404; + border-color: transparent; + color: white; } + .file.is-black:focus .file-cta, .file.is-black.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25); + color: white; } + .file.is-black:active .file-cta, .file.is-black.is-active .file-cta { + background-color: black; + border-color: transparent; + color: white; } + .file.is-light .file-cta { + background-color: whitesmoke; + border-color: transparent; + color: #363636; } + .file.is-light:hover .file-cta, .file.is-light.is-hovered .file-cta { + background-color: #eeeeee; + border-color: transparent; + color: #363636; } + .file.is-light:focus .file-cta, .file.is-light.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(245, 245, 245, 0.25); + color: #363636; } + .file.is-light:active .file-cta, .file.is-light.is-active .file-cta { + background-color: #e8e8e8; + border-color: transparent; + color: #363636; } + .file.is-dark .file-cta, .content kbd.file .file-cta { + background-color: #363636; + border-color: transparent; + color: whitesmoke; } + .file.is-dark:hover .file-cta, .content kbd.file:hover .file-cta, .file.is-dark.is-hovered .file-cta, .content kbd.file.is-hovered .file-cta { + background-color: #2f2f2f; + border-color: transparent; + color: whitesmoke; } + .file.is-dark:focus .file-cta, .content kbd.file:focus .file-cta, .file.is-dark.is-focused .file-cta, .content kbd.file.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(54, 54, 54, 0.25); + color: whitesmoke; } + .file.is-dark:active .file-cta, .content kbd.file:active .file-cta, .file.is-dark.is-active .file-cta, .content kbd.file.is-active .file-cta { + background-color: #292929; + border-color: transparent; + color: whitesmoke; } + .file.is-primary .file-cta, .docstring > section > a.file.docs-sourcelink .file-cta { + background-color: #4eb5de; + border-color: transparent; + color: #fff; } + .file.is-primary:hover .file-cta, .docstring > section > a.file.docs-sourcelink:hover .file-cta, .file.is-primary.is-hovered .file-cta, .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta { + background-color: #43b1dc; + border-color: transparent; + color: #fff; } + .file.is-primary:focus .file-cta, .docstring > section > a.file.docs-sourcelink:focus .file-cta, .file.is-primary.is-focused .file-cta, .docstring > section > a.file.is-focused.docs-sourcelink .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(78, 181, 222, 0.25); + color: #fff; } + .file.is-primary:active .file-cta, .docstring > section > a.file.docs-sourcelink:active .file-cta, .file.is-primary.is-active .file-cta, .docstring > section > a.file.is-active.docs-sourcelink .file-cta { + background-color: #39acda; + border-color: transparent; + color: #fff; } + .file.is-link .file-cta { + background-color: #2e63b8; + border-color: transparent; + color: #fff; } + .file.is-link:hover .file-cta, .file.is-link.is-hovered .file-cta { + background-color: #2b5eae; + border-color: transparent; + color: #fff; } + .file.is-link:focus .file-cta, .file.is-link.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(46, 99, 184, 0.25); + color: #fff; } + .file.is-link:active .file-cta, .file.is-link.is-active .file-cta { + background-color: #2958a4; + border-color: transparent; + color: #fff; } + .file.is-info .file-cta { + background-color: #209cee; + border-color: transparent; + color: #fff; } + .file.is-info:hover .file-cta, .file.is-info.is-hovered .file-cta { + background-color: #1497ed; + border-color: transparent; + color: #fff; } + .file.is-info:focus .file-cta, .file.is-info.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(32, 156, 238, 0.25); + color: #fff; } + .file.is-info:active .file-cta, .file.is-info.is-active .file-cta { + background-color: #1190e3; + border-color: transparent; + color: #fff; } + .file.is-success .file-cta { + background-color: #22c35b; + border-color: transparent; + color: #fff; } + .file.is-success:hover .file-cta, .file.is-success.is-hovered .file-cta { + background-color: #20b856; + border-color: transparent; + color: #fff; } + .file.is-success:focus .file-cta, .file.is-success.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(34, 195, 91, 0.25); + color: #fff; } + .file.is-success:active .file-cta, .file.is-success.is-active .file-cta { + background-color: #1ead51; + border-color: transparent; + color: #fff; } + .file.is-warning .file-cta { + background-color: #ffdd57; + border-color: transparent; + color: rgba(0, 0, 0, 0.7); } + .file.is-warning:hover .file-cta, .file.is-warning.is-hovered .file-cta { + background-color: #ffda4a; + border-color: transparent; + color: rgba(0, 0, 0, 0.7); } + .file.is-warning:focus .file-cta, .file.is-warning.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(255, 221, 87, 0.25); + color: rgba(0, 0, 0, 0.7); } + .file.is-warning:active .file-cta, .file.is-warning.is-active .file-cta { + background-color: #ffd83e; + border-color: transparent; + color: rgba(0, 0, 0, 0.7); } + .file.is-danger .file-cta { + background-color: #da0b00; + border-color: transparent; + color: #fff; } + .file.is-danger:hover .file-cta, .file.is-danger.is-hovered .file-cta { + background-color: #cd0a00; + border-color: transparent; + color: #fff; } + .file.is-danger:focus .file-cta, .file.is-danger.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(218, 11, 0, 0.25); + color: #fff; } + .file.is-danger:active .file-cta, .file.is-danger.is-active .file-cta { + background-color: #c10a00; + border-color: transparent; + color: #fff; } + .file.is-small, #documenter .docs-sidebar form.docs-search > input.file { + font-size: 0.75rem; } + .file.is-medium { + font-size: 1.25rem; } + .file.is-medium .file-icon .fa { + font-size: 21px; } + .file.is-large { + font-size: 1.5rem; } + .file.is-large .file-icon .fa { + font-size: 28px; } + .file.has-name .file-cta { + border-bottom-right-radius: 0; + border-top-right-radius: 0; } + .file.has-name .file-name { + border-bottom-left-radius: 0; + border-top-left-radius: 0; } + .file.has-name.is-empty .file-cta { + border-radius: 4px; } + .file.has-name.is-empty .file-name { + display: none; } + .file.is-boxed .file-label { + flex-direction: column; } + .file.is-boxed .file-cta { + flex-direction: column; + height: auto; + padding: 1em 3em; } + .file.is-boxed .file-name { + border-width: 0 1px 1px; } + .file.is-boxed .file-icon { + height: 1.5em; + width: 1.5em; } + .file.is-boxed .file-icon .fa { + font-size: 21px; } + .file.is-boxed.is-small .file-icon .fa, #documenter .docs-sidebar form.docs-search > input.is-boxed .file-icon .fa { + font-size: 14px; } + .file.is-boxed.is-medium .file-icon .fa { + font-size: 28px; } + .file.is-boxed.is-large .file-icon .fa { + font-size: 35px; } + .file.is-boxed.has-name .file-cta { + border-radius: 4px 4px 0 0; } + .file.is-boxed.has-name .file-name { + border-radius: 0 0 4px 4px; + border-width: 0 1px 1px; } + .file.is-centered { + justify-content: center; } + .file.is-fullwidth .file-label { + width: 100%; } + .file.is-fullwidth .file-name { + flex-grow: 1; + max-width: none; } + .file.is-right { + justify-content: flex-end; } + .file.is-right .file-cta { + border-radius: 0 4px 4px 0; } + .file.is-right .file-name { + border-radius: 4px 0 0 4px; + border-width: 1px 0 1px 1px; + order: -1; } + +.file-label { + align-items: stretch; + display: flex; + cursor: pointer; + justify-content: flex-start; + overflow: hidden; + position: relative; } + .file-label:hover .file-cta { + background-color: #eeeeee; + color: #363636; } + .file-label:hover .file-name { + border-color: #d5d5d5; } + .file-label:active .file-cta { + background-color: #e8e8e8; + color: #363636; } + .file-label:active .file-name { + border-color: #cfcfcf; } + +.file-input { + height: 100%; + left: 0; + opacity: 0; + outline: none; + position: absolute; + top: 0; + width: 100%; } + +.file-cta, +.file-name { + border-color: #dbdbdb; + border-radius: 4px; + font-size: 1em; + padding-left: 1em; + padding-right: 1em; + white-space: nowrap; } + +.file-cta { + background-color: whitesmoke; + color: #4a4a4a; } + +.file-name { + border-color: #dbdbdb; + border-style: solid; + border-width: 1px 1px 1px 0; + display: block; + max-width: 16em; + overflow: hidden; + text-align: left; + text-overflow: ellipsis; } + +.file-icon { + align-items: center; + display: flex; + height: 1em; + justify-content: center; + margin-right: 0.5em; + width: 1em; } + .file-icon .fa { + font-size: 14px; } + +.label { + color: #363636; + display: block; + font-size: 1rem; + font-weight: 700; } + .label:not(:last-child) { + margin-bottom: 0.5em; } + .label.is-small, #documenter .docs-sidebar form.docs-search > input.label { + font-size: 0.75rem; } + .label.is-medium { + font-size: 1.25rem; } + .label.is-large { + font-size: 1.5rem; } + +.help { + display: block; + font-size: 0.75rem; + margin-top: 0.25rem; } + .help.is-white { + color: white; } + .help.is-black { + color: #0a0a0a; } + .help.is-light { + color: whitesmoke; } + .help.is-dark, .content kbd.help { + color: #363636; } + .help.is-primary, .docstring > section > a.help.docs-sourcelink { + color: #4eb5de; } + .help.is-link { + color: #2e63b8; } + .help.is-info { + color: #209cee; } + .help.is-success { + color: #22c35b; } + .help.is-warning { + color: #ffdd57; } + .help.is-danger { + color: #da0b00; } + +.field:not(:last-child) { + margin-bottom: 0.75rem; } + +.field.has-addons { + display: flex; + justify-content: flex-start; } + .field.has-addons .control:not(:last-child) { + margin-right: -1px; } + .field.has-addons .control:not(:first-child):not(:last-child) .button, + .field.has-addons .control:not(:first-child):not(:last-child) .input, + .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input, + #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input, + .field.has-addons .control:not(:first-child):not(:last-child) .select select { + border-radius: 0; } + .field.has-addons .control:first-child:not(:only-child) .button, + .field.has-addons .control:first-child:not(:only-child) .input, + .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input, + #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input, + .field.has-addons .control:first-child:not(:only-child) .select select { + border-bottom-right-radius: 0; + border-top-right-radius: 0; } + .field.has-addons .control:last-child:not(:only-child) .button, + .field.has-addons .control:last-child:not(:only-child) .input, + .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input, + #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input, + .field.has-addons .control:last-child:not(:only-child) .select select { + border-bottom-left-radius: 0; + border-top-left-radius: 0; } + .field.has-addons .control .button:not([disabled]):hover, .field.has-addons .control .button.is-hovered:not([disabled]), + .field.has-addons .control .input:not([disabled]):hover, + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover, + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover, + .field.has-addons .control .input.is-hovered:not([disabled]), + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-hovered:not([disabled]), + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-hovered:not([disabled]), + .field.has-addons .control .select select:not([disabled]):hover, + .field.has-addons .control .select select.is-hovered:not([disabled]) { + z-index: 2; } + .field.has-addons .control .button:not([disabled]):focus, .field.has-addons .control .button.is-focused:not([disabled]), .field.has-addons .control .button:not([disabled]):active, .field.has-addons .control .button.is-active:not([disabled]), + .field.has-addons .control .input:not([disabled]):focus, + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus, + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus, + .field.has-addons .control .input.is-focused:not([disabled]), + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]), + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]), + .field.has-addons .control .input:not([disabled]):active, + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active, + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active, + .field.has-addons .control .input.is-active:not([disabled]), + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]), + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]), + .field.has-addons .control .select select:not([disabled]):focus, + .field.has-addons .control .select select.is-focused:not([disabled]), + .field.has-addons .control .select select:not([disabled]):active, + .field.has-addons .control .select select.is-active:not([disabled]) { + z-index: 3; } + .field.has-addons .control .button:not([disabled]):focus:hover, .field.has-addons .control .button.is-focused:not([disabled]):hover, .field.has-addons .control .button:not([disabled]):active:hover, .field.has-addons .control .button.is-active:not([disabled]):hover, + .field.has-addons .control .input:not([disabled]):focus:hover, + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover, + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover, + .field.has-addons .control .input.is-focused:not([disabled]):hover, + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-focused:not([disabled]):hover, + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-focused:not([disabled]):hover, + .field.has-addons .control .input:not([disabled]):active:hover, + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover, + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover, + .field.has-addons .control .input.is-active:not([disabled]):hover, + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input.is-active:not([disabled]):hover, + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input.is-active:not([disabled]):hover, + .field.has-addons .control .select select:not([disabled]):focus:hover, + .field.has-addons .control .select select.is-focused:not([disabled]):hover, + .field.has-addons .control .select select:not([disabled]):active:hover, + .field.has-addons .control .select select.is-active:not([disabled]):hover { + z-index: 4; } + .field.has-addons .control.is-expanded { + flex-grow: 1; + flex-shrink: 1; } + .field.has-addons.has-addons-centered { + justify-content: center; } + .field.has-addons.has-addons-right { + justify-content: flex-end; } + .field.has-addons.has-addons-fullwidth .control { + flex-grow: 1; + flex-shrink: 0; } + +.field.is-grouped { + display: flex; + justify-content: flex-start; } + .field.is-grouped > .control { + flex-shrink: 0; } + .field.is-grouped > .control:not(:last-child) { + margin-bottom: 0; + margin-right: 0.75rem; } + .field.is-grouped > .control.is-expanded { + flex-grow: 1; + flex-shrink: 1; } + .field.is-grouped.is-grouped-centered { + justify-content: center; } + .field.is-grouped.is-grouped-right { + justify-content: flex-end; } + .field.is-grouped.is-grouped-multiline { + flex-wrap: wrap; } + .field.is-grouped.is-grouped-multiline > .control:last-child, .field.is-grouped.is-grouped-multiline > .control:not(:last-child) { + margin-bottom: 0.75rem; } + .field.is-grouped.is-grouped-multiline:last-child { + margin-bottom: -0.75rem; } + .field.is-grouped.is-grouped-multiline:not(:last-child) { + margin-bottom: 0; } + +@media screen and (min-width: 769px), print { + .field.is-horizontal { + display: flex; } } + +.field-label .label { + font-size: inherit; } + +@media screen and (max-width: 768px) { + .field-label { + margin-bottom: 0.5rem; } } + +@media screen and (min-width: 769px), print { + .field-label { + flex-basis: 0; + flex-grow: 1; + flex-shrink: 0; + margin-right: 1.5rem; + text-align: right; } + .field-label.is-small, #documenter .docs-sidebar form.docs-search > input.field-label { + font-size: 0.75rem; + padding-top: 0.375em; } + .field-label.is-normal { + padding-top: 0.375em; } + .field-label.is-medium { + font-size: 1.25rem; + padding-top: 0.375em; } + .field-label.is-large { + font-size: 1.5rem; + padding-top: 0.375em; } } + +.field-body .field .field { + margin-bottom: 0; } + +@media screen and (min-width: 769px), print { + .field-body { + display: flex; + flex-basis: 0; + flex-grow: 5; + flex-shrink: 1; } + .field-body .field { + margin-bottom: 0; } + .field-body > .field { + flex-shrink: 1; } + .field-body > .field:not(.is-narrow) { + flex-grow: 1; } + .field-body > .field:not(:last-child) { + margin-right: 0.75rem; } } + +.control { + box-sizing: border-box; + clear: both; + font-size: 1rem; + position: relative; + text-align: left; } + .control.has-icons-left .input:focus ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon, + .control.has-icons-left .select:focus ~ .icon, .control.has-icons-right .input:focus ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon, + .control.has-icons-right .select:focus ~ .icon { + color: #6b6b6b; } + .control.has-icons-left .input.is-small ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon, + .control.has-icons-left .select.is-small ~ .icon, .control.has-icons-right .input.is-small ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon, + .control.has-icons-right .select.is-small ~ .icon { + font-size: 0.75rem; } + .control.has-icons-left .input.is-medium ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon, + .control.has-icons-left .select.is-medium ~ .icon, .control.has-icons-right .input.is-medium ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon, + .control.has-icons-right .select.is-medium ~ .icon { + font-size: 1.25rem; } + .control.has-icons-left .input.is-large ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon, + .control.has-icons-left .select.is-large ~ .icon, .control.has-icons-right .input.is-large ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon, + .control.has-icons-right .select.is-large ~ .icon { + font-size: 1.5rem; } + .control.has-icons-left .icon, .control.has-icons-right .icon { + color: #dbdbdb; + height: 2.25em; + pointer-events: none; + position: absolute; + top: 0; + width: 2.25em; + z-index: 4; } + .control.has-icons-left .input, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input, + .control.has-icons-left .select select { + padding-left: 2.25em; } + .control.has-icons-left .icon.is-left { + left: 0; } + .control.has-icons-right .input, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input, + .control.has-icons-right .select select { + padding-right: 2.25em; } + .control.has-icons-right .icon.is-right { + right: 0; } + .control.is-loading::after { + position: absolute !important; + right: 0.625em; + top: 0.625em; + z-index: 4; } + .control.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.is-loading:after { + font-size: 0.75rem; } + .control.is-loading.is-medium:after { + font-size: 1.25rem; } + .control.is-loading.is-large:after { + font-size: 1.5rem; } + +.breadcrumb { + font-size: 1rem; + white-space: nowrap; } + .breadcrumb a { + align-items: center; + color: #2e63b8; + display: flex; + justify-content: center; + padding: 0 0.75em; } + .breadcrumb a:hover { + color: #363636; } + .breadcrumb li { + align-items: center; + display: flex; } + .breadcrumb li:first-child a { + padding-left: 0; } + .breadcrumb li.is-active a { + color: #222222; + cursor: default; + pointer-events: none; } + .breadcrumb li + li::before { + color: #b5b5b5; + content: "\0002f"; } + .breadcrumb ul, + .breadcrumb ol { + align-items: flex-start; + display: flex; + flex-wrap: wrap; + justify-content: flex-start; } + .breadcrumb .icon:first-child { + margin-right: 0.5em; } + .breadcrumb .icon:last-child { + margin-left: 0.5em; } + .breadcrumb.is-centered ol, + .breadcrumb.is-centered ul { + justify-content: center; } + .breadcrumb.is-right ol, + .breadcrumb.is-right ul { + justify-content: flex-end; } + .breadcrumb.is-small, #documenter .docs-sidebar form.docs-search > input.breadcrumb { + font-size: 0.75rem; } + .breadcrumb.is-medium { + font-size: 1.25rem; } + .breadcrumb.is-large { + font-size: 1.5rem; } + .breadcrumb.has-arrow-separator li + li::before { + content: "\02192"; } + .breadcrumb.has-bullet-separator li + li::before { + content: "\02022"; } + .breadcrumb.has-dot-separator li + li::before { + content: "\000b7"; } + .breadcrumb.has-succeeds-separator li + li::before { + content: "\0227B"; } + +.card { + background-color: white; + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); + color: #222222; + max-width: 100%; + position: relative; } + +.card-header { + background-color: transparent; + align-items: stretch; + box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1); + display: flex; } + +.card-header-title { + align-items: center; + color: #222222; + display: flex; + flex-grow: 1; + font-weight: 700; + padding: 0.75rem; } + .card-header-title.is-centered { + justify-content: center; } + +.card-header-icon { + align-items: center; + cursor: pointer; + display: flex; + justify-content: center; + padding: 0.75rem; } + +.card-image { + display: block; + position: relative; } + +.card-content { + background-color: transparent; + padding: 1.5rem; } + +.card-footer { + background-color: transparent; + border-top: 1px solid #dbdbdb; + align-items: stretch; + display: flex; } + +.card-footer-item { + align-items: center; + display: flex; + flex-basis: 0; + flex-grow: 1; + flex-shrink: 0; + justify-content: center; + padding: 0.75rem; } + .card-footer-item:not(:last-child) { + border-right: 1px solid #dbdbdb; } + +.card .media:not(:last-child) { + margin-bottom: 1.5rem; } + +.dropdown { + display: inline-flex; + position: relative; + vertical-align: top; } + .dropdown.is-active .dropdown-menu, .dropdown.is-hoverable:hover .dropdown-menu { + display: block; } + .dropdown.is-right .dropdown-menu { + left: auto; + right: 0; } + .dropdown.is-up .dropdown-menu { + bottom: 100%; + padding-bottom: 4px; + padding-top: initial; + top: auto; } + +.dropdown-menu { + display: none; + left: 0; + min-width: 12rem; + padding-top: 4px; + position: absolute; + top: 100%; + z-index: 20; } + +.dropdown-content { + background-color: white; + border-radius: 4px; + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); + padding-bottom: 0.5rem; + padding-top: 0.5rem; } + +.dropdown-item { + color: #4a4a4a; + display: block; + font-size: 0.875rem; + line-height: 1.5; + padding: 0.375rem 1rem; + position: relative; } + +a.dropdown-item, +button.dropdown-item { + padding-right: 3rem; + text-align: left; + white-space: nowrap; + width: 100%; } + a.dropdown-item:hover, + button.dropdown-item:hover { + background-color: whitesmoke; + color: #0a0a0a; } + a.dropdown-item.is-active, + button.dropdown-item.is-active { + background-color: #2e63b8; + color: #fff; } + +.dropdown-divider { + background-color: #dbdbdb; + border: none; + display: block; + height: 1px; + margin: 0.5rem 0; } + +.level { + align-items: center; + justify-content: space-between; } + .level code { + border-radius: 4px; } + .level img { + display: inline-block; + vertical-align: top; } + .level.is-mobile { + display: flex; } + .level.is-mobile .level-left, + .level.is-mobile .level-right { + display: flex; } + .level.is-mobile .level-left + .level-right { + margin-top: 0; } + .level.is-mobile .level-item:not(:last-child) { + margin-bottom: 0; + margin-right: 0.75rem; } + .level.is-mobile .level-item:not(.is-narrow) { + flex-grow: 1; } + @media screen and (min-width: 769px), print { + .level { + display: flex; } + .level > .level-item:not(.is-narrow) { + flex-grow: 1; } } +.level-item { + align-items: center; + display: flex; + flex-basis: auto; + flex-grow: 0; + flex-shrink: 0; + justify-content: center; } + .level-item .title, + .level-item .subtitle { + margin-bottom: 0; } + @media screen and (max-width: 768px) { + .level-item:not(:last-child) { + margin-bottom: 0.75rem; } } +.level-left, +.level-right { + flex-basis: auto; + flex-grow: 0; + flex-shrink: 0; } + .level-left .level-item.is-flexible, + .level-right .level-item.is-flexible { + flex-grow: 1; } + @media screen and (min-width: 769px), print { + .level-left .level-item:not(:last-child), + .level-right .level-item:not(:last-child) { + margin-right: 0.75rem; } } +.level-left { + align-items: center; + justify-content: flex-start; } + @media screen and (max-width: 768px) { + .level-left + .level-right { + margin-top: 1.5rem; } } + @media screen and (min-width: 769px), print { + .level-left { + display: flex; } } +.level-right { + align-items: center; + justify-content: flex-end; } + @media screen and (min-width: 769px), print { + .level-right { + display: flex; } } +.list { + background-color: white; + border-radius: 4px; + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); } + +.list-item { + display: block; + padding: 0.5em 1em; } + .list-item:not(a) { + color: #222222; } + .list-item:first-child { + border-top-left-radius: 4px; + border-top-right-radius: 4px; } + .list-item:last-child { + border-bottom-left-radius: 4px; + border-bottom-right-radius: 4px; } + .list-item:not(:last-child) { + border-bottom: 1px solid #dbdbdb; } + .list-item.is-active { + background-color: #2e63b8; + color: #fff; } + +a.list-item { + background-color: whitesmoke; + cursor: pointer; } + +.media { + align-items: flex-start; + display: flex; + text-align: left; } + .media .content:not(:last-child) { + margin-bottom: 0.75rem; } + .media .media { + border-top: 1px solid rgba(219, 219, 219, 0.5); + display: flex; + padding-top: 0.75rem; } + .media .media .content:not(:last-child), + .media .media .control:not(:last-child) { + margin-bottom: 0.5rem; } + .media .media .media { + padding-top: 0.5rem; } + .media .media .media + .media { + margin-top: 0.5rem; } + .media + .media { + border-top: 1px solid rgba(219, 219, 219, 0.5); + margin-top: 1rem; + padding-top: 1rem; } + .media.is-large + .media { + margin-top: 1.5rem; + padding-top: 1.5rem; } + +.media-left, +.media-right { + flex-basis: auto; + flex-grow: 0; + flex-shrink: 0; } + +.media-left { + margin-right: 1rem; } + +.media-right { + margin-left: 1rem; } + +.media-content { + flex-basis: auto; + flex-grow: 1; + flex-shrink: 1; + text-align: left; } + +@media screen and (max-width: 768px) { + .media-content { + overflow-x: auto; } } + +.menu { + font-size: 1rem; } + .menu.is-small, #documenter .docs-sidebar form.docs-search > input.menu { + font-size: 0.75rem; } + .menu.is-medium { + font-size: 1.25rem; } + .menu.is-large { + font-size: 1.5rem; } + +.menu-list { + line-height: 1.25; } + .menu-list a { + border-radius: 2px; + color: #222222; + display: block; + padding: 0.5em 0.75em; } + .menu-list a:hover { + background-color: whitesmoke; + color: #222222; } + .menu-list a.is-active { + background-color: #2e63b8; + color: #fff; } + .menu-list li ul { + border-left: 1px solid #dbdbdb; + margin: 0.75em; + padding-left: 0.75em; } + +.menu-label { + color: #6b6b6b; + font-size: 0.75em; + letter-spacing: 0.1em; + text-transform: uppercase; } + .menu-label:not(:first-child) { + margin-top: 1em; } + .menu-label:not(:last-child) { + margin-bottom: 1em; } + +.message { + background-color: whitesmoke; + border-radius: 4px; + font-size: 1rem; } + .message strong { + color: currentColor; } + .message a:not(.button):not(.tag):not(.dropdown-item) { + color: currentColor; + text-decoration: underline; } + .message.is-small, #documenter .docs-sidebar form.docs-search > input.message { + font-size: 0.75rem; } + .message.is-medium { + font-size: 1.25rem; } + .message.is-large { + font-size: 1.5rem; } + .message.is-white { + background-color: white; } + .message.is-white .message-header { + background-color: white; + color: #0a0a0a; } + .message.is-white .message-body { + border-color: white; + color: #4d4d4d; } + .message.is-black { + background-color: #fafafa; } + .message.is-black .message-header { + background-color: #0a0a0a; + color: white; } + .message.is-black .message-body { + border-color: #0a0a0a; + color: #090909; } + .message.is-light { + background-color: #fafafa; } + .message.is-light .message-header { + background-color: whitesmoke; + color: #363636; } + .message.is-light .message-body { + border-color: whitesmoke; + color: #505050; } + .message.is-dark, .content kbd.message { + background-color: #fafafa; } + .message.is-dark .message-header, .content kbd.message .message-header { + background-color: #363636; + color: whitesmoke; } + .message.is-dark .message-body, .content kbd.message .message-body { + border-color: #363636; + color: #2a2a2a; } + .message.is-primary, .docstring > section > a.message.docs-sourcelink { + background-color: #f6fbfd; } + .message.is-primary .message-header, .docstring > section > a.message.docs-sourcelink .message-header { + background-color: #4eb5de; + color: #fff; } + .message.is-primary .message-body, .docstring > section > a.message.docs-sourcelink .message-body { + border-color: #4eb5de; + color: #1f556a; } + .message.is-link { + background-color: #f7f9fd; } + .message.is-link .message-header { + background-color: #2e63b8; + color: #fff; } + .message.is-link .message-body { + border-color: #2e63b8; + color: #264981; } + .message.is-info { + background-color: #f6fbfe; } + .message.is-info .message-header { + background-color: #209cee; + color: #fff; } + .message.is-info .message-body { + border-color: #209cee; + color: #12537d; } + .message.is-success { + background-color: #f6fdf9; } + .message.is-success .message-header { + background-color: #22c35b; + color: #fff; } + .message.is-success .message-body { + border-color: #22c35b; + color: #0f361d; } + .message.is-warning { + background-color: #fffdf5; } + .message.is-warning .message-header { + background-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } + .message.is-warning .message-body { + border-color: #ffdd57; + color: #3c3108; } + .message.is-danger { + background-color: #fff5f5; } + .message.is-danger .message-header { + background-color: #da0b00; + color: #fff; } + .message.is-danger .message-body { + border-color: #da0b00; + color: #9b0c04; } + +.message-header { + align-items: center; + background-color: #222222; + border-radius: 4px 4px 0 0; + color: #fff; + display: flex; + font-weight: 700; + justify-content: space-between; + line-height: 1.25; + padding: 0.75em 1em; + position: relative; } + .message-header .delete { + flex-grow: 0; + flex-shrink: 0; + margin-left: 0.75em; } + .message-header + .message-body { + border-width: 0; + border-top-left-radius: 0; + border-top-right-radius: 0; } + +.message-body { + border-color: #dbdbdb; + border-radius: 4px; + border-style: solid; + border-width: 0 0 0 4px; + color: #222222; + padding: 1.25em 1.5em; } + .message-body code, + .message-body pre { + background-color: white; } + .message-body pre code { + background-color: transparent; } + +.modal { + align-items: center; + display: none; + flex-direction: column; + justify-content: center; + overflow: hidden; + position: fixed; + z-index: 40; } + .modal.is-active { + display: flex; } + +.modal-background { + background-color: rgba(10, 10, 10, 0.86); } + +.modal-content, +.modal-card { + margin: 0 20px; + max-height: calc(100vh - 160px); + overflow: auto; + position: relative; + width: 100%; } + @media screen and (min-width: 769px), print { + .modal-content, + .modal-card { + margin: 0 auto; + max-height: calc(100vh - 40px); + width: 640px; } } +.modal-close { + background: none; + height: 40px; + position: fixed; + right: 20px; + top: 20px; + width: 40px; } + +.modal-card { + display: flex; + flex-direction: column; + max-height: calc(100vh - 40px); + overflow: hidden; + -ms-overflow-y: visible; } + +.modal-card-head, +.modal-card-foot { + align-items: center; + background-color: whitesmoke; + display: flex; + flex-shrink: 0; + justify-content: flex-start; + padding: 20px; + position: relative; } + +.modal-card-head { + border-bottom: 1px solid #dbdbdb; + border-top-left-radius: 6px; + border-top-right-radius: 6px; } + +.modal-card-title { + color: #222222; + flex-grow: 1; + flex-shrink: 0; + font-size: 1.5rem; + line-height: 1; } + +.modal-card-foot { + border-bottom-left-radius: 6px; + border-bottom-right-radius: 6px; + border-top: 1px solid #dbdbdb; } + .modal-card-foot .button:not(:last-child) { + margin-right: 0.5em; } + +.modal-card-body { + -webkit-overflow-scrolling: touch; + background-color: white; + flex-grow: 1; + flex-shrink: 1; + overflow: auto; + padding: 20px; } + +.navbar { + background-color: white; + min-height: 3.25rem; + position: relative; + z-index: 30; } + .navbar.is-white { + background-color: white; + color: #0a0a0a; } + .navbar.is-white .navbar-brand > .navbar-item, + .navbar.is-white .navbar-brand .navbar-link { + color: #0a0a0a; } + .navbar.is-white .navbar-brand > a.navbar-item:focus, .navbar.is-white .navbar-brand > a.navbar-item:hover, .navbar.is-white .navbar-brand > a.navbar-item.is-active, + .navbar.is-white .navbar-brand .navbar-link:focus, + .navbar.is-white .navbar-brand .navbar-link:hover, + .navbar.is-white .navbar-brand .navbar-link.is-active { + background-color: #f2f2f2; + color: #0a0a0a; } + .navbar.is-white .navbar-brand .navbar-link::after { + border-color: #0a0a0a; } + .navbar.is-white .navbar-burger { + color: #0a0a0a; } + @media screen and (min-width: 1056px) { + .navbar.is-white .navbar-start > .navbar-item, + .navbar.is-white .navbar-start .navbar-link, + .navbar.is-white .navbar-end > .navbar-item, + .navbar.is-white .navbar-end .navbar-link { + color: #0a0a0a; } + .navbar.is-white .navbar-start > a.navbar-item:focus, .navbar.is-white .navbar-start > a.navbar-item:hover, .navbar.is-white .navbar-start > a.navbar-item.is-active, + .navbar.is-white .navbar-start .navbar-link:focus, + .navbar.is-white .navbar-start .navbar-link:hover, + .navbar.is-white .navbar-start .navbar-link.is-active, + .navbar.is-white .navbar-end > a.navbar-item:focus, + .navbar.is-white .navbar-end > a.navbar-item:hover, + .navbar.is-white .navbar-end > a.navbar-item.is-active, + .navbar.is-white .navbar-end .navbar-link:focus, + .navbar.is-white .navbar-end .navbar-link:hover, + .navbar.is-white .navbar-end .navbar-link.is-active { + background-color: #f2f2f2; + color: #0a0a0a; } + .navbar.is-white .navbar-start .navbar-link::after, + .navbar.is-white .navbar-end .navbar-link::after { + border-color: #0a0a0a; } + .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #f2f2f2; + color: #0a0a0a; } + .navbar.is-white .navbar-dropdown a.navbar-item.is-active { + background-color: white; + color: #0a0a0a; } } + .navbar.is-black { + background-color: #0a0a0a; + color: white; } + .navbar.is-black .navbar-brand > .navbar-item, + .navbar.is-black .navbar-brand .navbar-link { + color: white; } + .navbar.is-black .navbar-brand > a.navbar-item:focus, .navbar.is-black .navbar-brand > a.navbar-item:hover, .navbar.is-black .navbar-brand > a.navbar-item.is-active, + .navbar.is-black .navbar-brand .navbar-link:focus, + .navbar.is-black .navbar-brand .navbar-link:hover, + .navbar.is-black .navbar-brand .navbar-link.is-active { + background-color: black; + color: white; } + .navbar.is-black .navbar-brand .navbar-link::after { + border-color: white; } + .navbar.is-black .navbar-burger { + color: white; } + @media screen and (min-width: 1056px) { + .navbar.is-black .navbar-start > .navbar-item, + .navbar.is-black .navbar-start .navbar-link, + .navbar.is-black .navbar-end > .navbar-item, + .navbar.is-black .navbar-end .navbar-link { + color: white; } + .navbar.is-black .navbar-start > a.navbar-item:focus, .navbar.is-black .navbar-start > a.navbar-item:hover, .navbar.is-black .navbar-start > a.navbar-item.is-active, + .navbar.is-black .navbar-start .navbar-link:focus, + .navbar.is-black .navbar-start .navbar-link:hover, + .navbar.is-black .navbar-start .navbar-link.is-active, + .navbar.is-black .navbar-end > a.navbar-item:focus, + .navbar.is-black .navbar-end > a.navbar-item:hover, + .navbar.is-black .navbar-end > a.navbar-item.is-active, + .navbar.is-black .navbar-end .navbar-link:focus, + .navbar.is-black .navbar-end .navbar-link:hover, + .navbar.is-black .navbar-end .navbar-link.is-active { + background-color: black; + color: white; } + .navbar.is-black .navbar-start .navbar-link::after, + .navbar.is-black .navbar-end .navbar-link::after { + border-color: white; } + .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link { + background-color: black; + color: white; } + .navbar.is-black .navbar-dropdown a.navbar-item.is-active { + background-color: #0a0a0a; + color: white; } } + .navbar.is-light { + background-color: whitesmoke; + color: #363636; } + .navbar.is-light .navbar-brand > .navbar-item, + .navbar.is-light .navbar-brand .navbar-link { + color: #363636; } + .navbar.is-light .navbar-brand > a.navbar-item:focus, .navbar.is-light .navbar-brand > a.navbar-item:hover, .navbar.is-light .navbar-brand > a.navbar-item.is-active, + .navbar.is-light .navbar-brand .navbar-link:focus, + .navbar.is-light .navbar-brand .navbar-link:hover, + .navbar.is-light .navbar-brand .navbar-link.is-active { + background-color: #e8e8e8; + color: #363636; } + .navbar.is-light .navbar-brand .navbar-link::after { + border-color: #363636; } + .navbar.is-light .navbar-burger { + color: #363636; } + @media screen and (min-width: 1056px) { + .navbar.is-light .navbar-start > .navbar-item, + .navbar.is-light .navbar-start .navbar-link, + .navbar.is-light .navbar-end > .navbar-item, + .navbar.is-light .navbar-end .navbar-link { + color: #363636; } + .navbar.is-light .navbar-start > a.navbar-item:focus, .navbar.is-light .navbar-start > a.navbar-item:hover, .navbar.is-light .navbar-start > a.navbar-item.is-active, + .navbar.is-light .navbar-start .navbar-link:focus, + .navbar.is-light .navbar-start .navbar-link:hover, + .navbar.is-light .navbar-start .navbar-link.is-active, + .navbar.is-light .navbar-end > a.navbar-item:focus, + .navbar.is-light .navbar-end > a.navbar-item:hover, + .navbar.is-light .navbar-end > a.navbar-item.is-active, + .navbar.is-light .navbar-end .navbar-link:focus, + .navbar.is-light .navbar-end .navbar-link:hover, + .navbar.is-light .navbar-end .navbar-link.is-active { + background-color: #e8e8e8; + color: #363636; } + .navbar.is-light .navbar-start .navbar-link::after, + .navbar.is-light .navbar-end .navbar-link::after { + border-color: #363636; } + .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #e8e8e8; + color: #363636; } + .navbar.is-light .navbar-dropdown a.navbar-item.is-active { + background-color: whitesmoke; + color: #363636; } } + .navbar.is-dark, .content kbd.navbar { + background-color: #363636; + color: whitesmoke; } + .navbar.is-dark .navbar-brand > .navbar-item, .content kbd.navbar .navbar-brand > .navbar-item, + .navbar.is-dark .navbar-brand .navbar-link, + .content kbd.navbar .navbar-brand .navbar-link { + color: whitesmoke; } + .navbar.is-dark .navbar-brand > a.navbar-item:focus, .content kbd.navbar .navbar-brand > a.navbar-item:focus, .navbar.is-dark .navbar-brand > a.navbar-item:hover, .content kbd.navbar .navbar-brand > a.navbar-item:hover, .navbar.is-dark .navbar-brand > a.navbar-item.is-active, .content kbd.navbar .navbar-brand > a.navbar-item.is-active, + .navbar.is-dark .navbar-brand .navbar-link:focus, + .content kbd.navbar .navbar-brand .navbar-link:focus, + .navbar.is-dark .navbar-brand .navbar-link:hover, + .content kbd.navbar .navbar-brand .navbar-link:hover, + .navbar.is-dark .navbar-brand .navbar-link.is-active, + .content kbd.navbar .navbar-brand .navbar-link.is-active { + background-color: #292929; + color: whitesmoke; } + .navbar.is-dark .navbar-brand .navbar-link::after, .content kbd.navbar .navbar-brand .navbar-link::after { + border-color: whitesmoke; } + .navbar.is-dark .navbar-burger, .content kbd.navbar .navbar-burger { + color: whitesmoke; } + @media screen and (min-width: 1056px) { + .navbar.is-dark .navbar-start > .navbar-item, .content kbd.navbar .navbar-start > .navbar-item, + .navbar.is-dark .navbar-start .navbar-link, + .content kbd.navbar .navbar-start .navbar-link, + .navbar.is-dark .navbar-end > .navbar-item, + .content kbd.navbar .navbar-end > .navbar-item, + .navbar.is-dark .navbar-end .navbar-link, + .content kbd.navbar .navbar-end .navbar-link { + color: whitesmoke; } + .navbar.is-dark .navbar-start > a.navbar-item:focus, .content kbd.navbar .navbar-start > a.navbar-item:focus, .navbar.is-dark .navbar-start > a.navbar-item:hover, .content kbd.navbar .navbar-start > a.navbar-item:hover, .navbar.is-dark .navbar-start > a.navbar-item.is-active, .content kbd.navbar .navbar-start > a.navbar-item.is-active, + .navbar.is-dark .navbar-start .navbar-link:focus, + .content kbd.navbar .navbar-start .navbar-link:focus, + .navbar.is-dark .navbar-start .navbar-link:hover, + .content kbd.navbar .navbar-start .navbar-link:hover, + .navbar.is-dark .navbar-start .navbar-link.is-active, + .content kbd.navbar .navbar-start .navbar-link.is-active, + .navbar.is-dark .navbar-end > a.navbar-item:focus, + .content kbd.navbar .navbar-end > a.navbar-item:focus, + .navbar.is-dark .navbar-end > a.navbar-item:hover, + .content kbd.navbar .navbar-end > a.navbar-item:hover, + .navbar.is-dark .navbar-end > a.navbar-item.is-active, + .content kbd.navbar .navbar-end > a.navbar-item.is-active, + .navbar.is-dark .navbar-end .navbar-link:focus, + .content kbd.navbar .navbar-end .navbar-link:focus, + .navbar.is-dark .navbar-end .navbar-link:hover, + .content kbd.navbar .navbar-end .navbar-link:hover, + .navbar.is-dark .navbar-end .navbar-link.is-active, + .content kbd.navbar .navbar-end .navbar-link.is-active { + background-color: #292929; + color: whitesmoke; } + .navbar.is-dark .navbar-start .navbar-link::after, .content kbd.navbar .navbar-start .navbar-link::after, + .navbar.is-dark .navbar-end .navbar-link::after, + .content kbd.navbar .navbar-end .navbar-link::after { + border-color: whitesmoke; } + .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link, + .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link, + .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #292929; + color: whitesmoke; } + .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, .content kbd.navbar .navbar-dropdown a.navbar-item.is-active { + background-color: #363636; + color: whitesmoke; } } + .navbar.is-primary, .docstring > section > a.navbar.docs-sourcelink { + background-color: #4eb5de; + color: #fff; } + .navbar.is-primary .navbar-brand > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item, + .navbar.is-primary .navbar-brand .navbar-link, + .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link { + color: #fff; } + .navbar.is-primary .navbar-brand > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, .navbar.is-primary .navbar-brand > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, .navbar.is-primary .navbar-brand > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active, + .navbar.is-primary .navbar-brand .navbar-link:focus, + .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus, + .navbar.is-primary .navbar-brand .navbar-link:hover, + .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover, + .navbar.is-primary .navbar-brand .navbar-link.is-active, + .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active { + background-color: #39acda; + color: #fff; } + .navbar.is-primary .navbar-brand .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after { + border-color: #fff; } + .navbar.is-primary .navbar-burger, .docstring > section > a.navbar.docs-sourcelink .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + .navbar.is-primary .navbar-start > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item, + .navbar.is-primary .navbar-start .navbar-link, + .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link, + .navbar.is-primary .navbar-end > .navbar-item, + .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item, + .navbar.is-primary .navbar-end .navbar-link, + .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link { + color: #fff; } + .navbar.is-primary .navbar-start > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, .navbar.is-primary .navbar-start > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, .navbar.is-primary .navbar-start > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active, + .navbar.is-primary .navbar-start .navbar-link:focus, + .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus, + .navbar.is-primary .navbar-start .navbar-link:hover, + .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover, + .navbar.is-primary .navbar-start .navbar-link.is-active, + .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active, + .navbar.is-primary .navbar-end > a.navbar-item:focus, + .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus, + .navbar.is-primary .navbar-end > a.navbar-item:hover, + .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover, + .navbar.is-primary .navbar-end > a.navbar-item.is-active, + .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active, + .navbar.is-primary .navbar-end .navbar-link:focus, + .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus, + .navbar.is-primary .navbar-end .navbar-link:hover, + .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover, + .navbar.is-primary .navbar-end .navbar-link.is-active, + .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active { + background-color: #39acda; + color: #fff; } + .navbar.is-primary .navbar-start .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after, + .navbar.is-primary .navbar-end .navbar-link::after, + .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after { + border-color: #fff; } + .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link, + .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link, + .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #39acda; + color: #fff; } + .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active { + background-color: #4eb5de; + color: #fff; } } + .navbar.is-link { + background-color: #2e63b8; + color: #fff; } + .navbar.is-link .navbar-brand > .navbar-item, + .navbar.is-link .navbar-brand .navbar-link { + color: #fff; } + .navbar.is-link .navbar-brand > a.navbar-item:focus, .navbar.is-link .navbar-brand > a.navbar-item:hover, .navbar.is-link .navbar-brand > a.navbar-item.is-active, + .navbar.is-link .navbar-brand .navbar-link:focus, + .navbar.is-link .navbar-brand .navbar-link:hover, + .navbar.is-link .navbar-brand .navbar-link.is-active { + background-color: #2958a4; + color: #fff; } + .navbar.is-link .navbar-brand .navbar-link::after { + border-color: #fff; } + .navbar.is-link .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + .navbar.is-link .navbar-start > .navbar-item, + .navbar.is-link .navbar-start .navbar-link, + .navbar.is-link .navbar-end > .navbar-item, + .navbar.is-link .navbar-end .navbar-link { + color: #fff; } + .navbar.is-link .navbar-start > a.navbar-item:focus, .navbar.is-link .navbar-start > a.navbar-item:hover, .navbar.is-link .navbar-start > a.navbar-item.is-active, + .navbar.is-link .navbar-start .navbar-link:focus, + .navbar.is-link .navbar-start .navbar-link:hover, + .navbar.is-link .navbar-start .navbar-link.is-active, + .navbar.is-link .navbar-end > a.navbar-item:focus, + .navbar.is-link .navbar-end > a.navbar-item:hover, + .navbar.is-link .navbar-end > a.navbar-item.is-active, + .navbar.is-link .navbar-end .navbar-link:focus, + .navbar.is-link .navbar-end .navbar-link:hover, + .navbar.is-link .navbar-end .navbar-link.is-active { + background-color: #2958a4; + color: #fff; } + .navbar.is-link .navbar-start .navbar-link::after, + .navbar.is-link .navbar-end .navbar-link::after { + border-color: #fff; } + .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #2958a4; + color: #fff; } + .navbar.is-link .navbar-dropdown a.navbar-item.is-active { + background-color: #2e63b8; + color: #fff; } } + .navbar.is-info { + background-color: #209cee; + color: #fff; } + .navbar.is-info .navbar-brand > .navbar-item, + .navbar.is-info .navbar-brand .navbar-link { + color: #fff; } + .navbar.is-info .navbar-brand > a.navbar-item:focus, .navbar.is-info .navbar-brand > a.navbar-item:hover, .navbar.is-info .navbar-brand > a.navbar-item.is-active, + .navbar.is-info .navbar-brand .navbar-link:focus, + .navbar.is-info .navbar-brand .navbar-link:hover, + .navbar.is-info .navbar-brand .navbar-link.is-active { + background-color: #1190e3; + color: #fff; } + .navbar.is-info .navbar-brand .navbar-link::after { + border-color: #fff; } + .navbar.is-info .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + .navbar.is-info .navbar-start > .navbar-item, + .navbar.is-info .navbar-start .navbar-link, + .navbar.is-info .navbar-end > .navbar-item, + .navbar.is-info .navbar-end .navbar-link { + color: #fff; } + .navbar.is-info .navbar-start > a.navbar-item:focus, .navbar.is-info .navbar-start > a.navbar-item:hover, .navbar.is-info .navbar-start > a.navbar-item.is-active, + .navbar.is-info .navbar-start .navbar-link:focus, + .navbar.is-info .navbar-start .navbar-link:hover, + .navbar.is-info .navbar-start .navbar-link.is-active, + .navbar.is-info .navbar-end > a.navbar-item:focus, + .navbar.is-info .navbar-end > a.navbar-item:hover, + .navbar.is-info .navbar-end > a.navbar-item.is-active, + .navbar.is-info .navbar-end .navbar-link:focus, + .navbar.is-info .navbar-end .navbar-link:hover, + .navbar.is-info .navbar-end .navbar-link.is-active { + background-color: #1190e3; + color: #fff; } + .navbar.is-info .navbar-start .navbar-link::after, + .navbar.is-info .navbar-end .navbar-link::after { + border-color: #fff; } + .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #1190e3; + color: #fff; } + .navbar.is-info .navbar-dropdown a.navbar-item.is-active { + background-color: #209cee; + color: #fff; } } + .navbar.is-success { + background-color: #22c35b; + color: #fff; } + .navbar.is-success .navbar-brand > .navbar-item, + .navbar.is-success .navbar-brand .navbar-link { + color: #fff; } + .navbar.is-success .navbar-brand > a.navbar-item:focus, .navbar.is-success .navbar-brand > a.navbar-item:hover, .navbar.is-success .navbar-brand > a.navbar-item.is-active, + .navbar.is-success .navbar-brand .navbar-link:focus, + .navbar.is-success .navbar-brand .navbar-link:hover, + .navbar.is-success .navbar-brand .navbar-link.is-active { + background-color: #1ead51; + color: #fff; } + .navbar.is-success .navbar-brand .navbar-link::after { + border-color: #fff; } + .navbar.is-success .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + .navbar.is-success .navbar-start > .navbar-item, + .navbar.is-success .navbar-start .navbar-link, + .navbar.is-success .navbar-end > .navbar-item, + .navbar.is-success .navbar-end .navbar-link { + color: #fff; } + .navbar.is-success .navbar-start > a.navbar-item:focus, .navbar.is-success .navbar-start > a.navbar-item:hover, .navbar.is-success .navbar-start > a.navbar-item.is-active, + .navbar.is-success .navbar-start .navbar-link:focus, + .navbar.is-success .navbar-start .navbar-link:hover, + .navbar.is-success .navbar-start .navbar-link.is-active, + .navbar.is-success .navbar-end > a.navbar-item:focus, + .navbar.is-success .navbar-end > a.navbar-item:hover, + .navbar.is-success .navbar-end > a.navbar-item.is-active, + .navbar.is-success .navbar-end .navbar-link:focus, + .navbar.is-success .navbar-end .navbar-link:hover, + .navbar.is-success .navbar-end .navbar-link.is-active { + background-color: #1ead51; + color: #fff; } + .navbar.is-success .navbar-start .navbar-link::after, + .navbar.is-success .navbar-end .navbar-link::after { + border-color: #fff; } + .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #1ead51; + color: #fff; } + .navbar.is-success .navbar-dropdown a.navbar-item.is-active { + background-color: #22c35b; + color: #fff; } } + .navbar.is-warning { + background-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } + .navbar.is-warning .navbar-brand > .navbar-item, + .navbar.is-warning .navbar-brand .navbar-link { + color: rgba(0, 0, 0, 0.7); } + .navbar.is-warning .navbar-brand > a.navbar-item:focus, .navbar.is-warning .navbar-brand > a.navbar-item:hover, .navbar.is-warning .navbar-brand > a.navbar-item.is-active, + .navbar.is-warning .navbar-brand .navbar-link:focus, + .navbar.is-warning .navbar-brand .navbar-link:hover, + .navbar.is-warning .navbar-brand .navbar-link.is-active { + background-color: #ffd83e; + color: rgba(0, 0, 0, 0.7); } + .navbar.is-warning .navbar-brand .navbar-link::after { + border-color: rgba(0, 0, 0, 0.7); } + .navbar.is-warning .navbar-burger { + color: rgba(0, 0, 0, 0.7); } + @media screen and (min-width: 1056px) { + .navbar.is-warning .navbar-start > .navbar-item, + .navbar.is-warning .navbar-start .navbar-link, + .navbar.is-warning .navbar-end > .navbar-item, + .navbar.is-warning .navbar-end .navbar-link { + color: rgba(0, 0, 0, 0.7); } + .navbar.is-warning .navbar-start > a.navbar-item:focus, .navbar.is-warning .navbar-start > a.navbar-item:hover, .navbar.is-warning .navbar-start > a.navbar-item.is-active, + .navbar.is-warning .navbar-start .navbar-link:focus, + .navbar.is-warning .navbar-start .navbar-link:hover, + .navbar.is-warning .navbar-start .navbar-link.is-active, + .navbar.is-warning .navbar-end > a.navbar-item:focus, + .navbar.is-warning .navbar-end > a.navbar-item:hover, + .navbar.is-warning .navbar-end > a.navbar-item.is-active, + .navbar.is-warning .navbar-end .navbar-link:focus, + .navbar.is-warning .navbar-end .navbar-link:hover, + .navbar.is-warning .navbar-end .navbar-link.is-active { + background-color: #ffd83e; + color: rgba(0, 0, 0, 0.7); } + .navbar.is-warning .navbar-start .navbar-link::after, + .navbar.is-warning .navbar-end .navbar-link::after { + border-color: rgba(0, 0, 0, 0.7); } + .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #ffd83e; + color: rgba(0, 0, 0, 0.7); } + .navbar.is-warning .navbar-dropdown a.navbar-item.is-active { + background-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } } + .navbar.is-danger { + background-color: #da0b00; + color: #fff; } + .navbar.is-danger .navbar-brand > .navbar-item, + .navbar.is-danger .navbar-brand .navbar-link { + color: #fff; } + .navbar.is-danger .navbar-brand > a.navbar-item:focus, .navbar.is-danger .navbar-brand > a.navbar-item:hover, .navbar.is-danger .navbar-brand > a.navbar-item.is-active, + .navbar.is-danger .navbar-brand .navbar-link:focus, + .navbar.is-danger .navbar-brand .navbar-link:hover, + .navbar.is-danger .navbar-brand .navbar-link.is-active { + background-color: #c10a00; + color: #fff; } + .navbar.is-danger .navbar-brand .navbar-link::after { + border-color: #fff; } + .navbar.is-danger .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + .navbar.is-danger .navbar-start > .navbar-item, + .navbar.is-danger .navbar-start .navbar-link, + .navbar.is-danger .navbar-end > .navbar-item, + .navbar.is-danger .navbar-end .navbar-link { + color: #fff; } + .navbar.is-danger .navbar-start > a.navbar-item:focus, .navbar.is-danger .navbar-start > a.navbar-item:hover, .navbar.is-danger .navbar-start > a.navbar-item.is-active, + .navbar.is-danger .navbar-start .navbar-link:focus, + .navbar.is-danger .navbar-start .navbar-link:hover, + .navbar.is-danger .navbar-start .navbar-link.is-active, + .navbar.is-danger .navbar-end > a.navbar-item:focus, + .navbar.is-danger .navbar-end > a.navbar-item:hover, + .navbar.is-danger .navbar-end > a.navbar-item.is-active, + .navbar.is-danger .navbar-end .navbar-link:focus, + .navbar.is-danger .navbar-end .navbar-link:hover, + .navbar.is-danger .navbar-end .navbar-link.is-active { + background-color: #c10a00; + color: #fff; } + .navbar.is-danger .navbar-start .navbar-link::after, + .navbar.is-danger .navbar-end .navbar-link::after { + border-color: #fff; } + .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #c10a00; + color: #fff; } + .navbar.is-danger .navbar-dropdown a.navbar-item.is-active { + background-color: #da0b00; + color: #fff; } } + .navbar > .container { + align-items: stretch; + display: flex; + min-height: 3.25rem; + width: 100%; } + .navbar.has-shadow { + box-shadow: 0 2px 0 0 whitesmoke; } + .navbar.is-fixed-bottom, .navbar.is-fixed-top { + left: 0; + position: fixed; + right: 0; + z-index: 30; } + .navbar.is-fixed-bottom { + bottom: 0; } + .navbar.is-fixed-bottom.has-shadow { + box-shadow: 0 -2px 0 0 whitesmoke; } + .navbar.is-fixed-top { + top: 0; } + +html.has-navbar-fixed-top, +body.has-navbar-fixed-top { + padding-top: 3.25rem; } + +html.has-navbar-fixed-bottom, +body.has-navbar-fixed-bottom { + padding-bottom: 3.25rem; } + +.navbar-brand, +.navbar-tabs { + align-items: stretch; + display: flex; + flex-shrink: 0; + min-height: 3.25rem; } + +.navbar-brand a.navbar-item:focus, .navbar-brand a.navbar-item:hover { + background-color: transparent; } + +.navbar-tabs { + -webkit-overflow-scrolling: touch; + max-width: 100vw; + overflow-x: auto; + overflow-y: hidden; } + +.navbar-burger { + color: #4a4a4a; + cursor: pointer; + display: block; + height: 3.25rem; + position: relative; + width: 3.25rem; + margin-left: auto; } + .navbar-burger span { + background-color: currentColor; + display: block; + height: 1px; + left: calc(50% - 8px); + position: absolute; + transform-origin: center; + transition-duration: 86ms; + transition-property: background-color, opacity, transform; + transition-timing-function: ease-out; + width: 16px; } + .navbar-burger span:nth-child(1) { + top: calc(50% - 6px); } + .navbar-burger span:nth-child(2) { + top: calc(50% - 1px); } + .navbar-burger span:nth-child(3) { + top: calc(50% + 4px); } + .navbar-burger:hover { + background-color: rgba(0, 0, 0, 0.05); } + .navbar-burger.is-active span:nth-child(1) { + transform: translateY(5px) rotate(45deg); } + .navbar-burger.is-active span:nth-child(2) { + opacity: 0; } + .navbar-burger.is-active span:nth-child(3) { + transform: translateY(-5px) rotate(-45deg); } + +.navbar-menu { + display: none; } + +.navbar-item, +.navbar-link { + color: #4a4a4a; + display: block; + line-height: 1.5; + padding: 0.5rem 0.75rem; + position: relative; } + .navbar-item .icon:only-child, + .navbar-link .icon:only-child { + margin-left: -0.25rem; + margin-right: -0.25rem; } + +a.navbar-item, +.navbar-link { + cursor: pointer; } + a.navbar-item:focus, a.navbar-item:focus-within, a.navbar-item:hover, a.navbar-item.is-active, + .navbar-link:focus, + .navbar-link:focus-within, + .navbar-link:hover, + .navbar-link.is-active { + background-color: #fafafa; + color: #2e63b8; } + +.navbar-item { + display: block; + flex-grow: 0; + flex-shrink: 0; } + .navbar-item img { + max-height: 1.75rem; } + .navbar-item.has-dropdown { + padding: 0; } + .navbar-item.is-expanded { + flex-grow: 1; + flex-shrink: 1; } + .navbar-item.is-tab { + border-bottom: 1px solid transparent; + min-height: 3.25rem; + padding-bottom: calc(0.5rem - 1px); } + .navbar-item.is-tab:focus, .navbar-item.is-tab:hover { + background-color: transparent; + border-bottom-color: #2e63b8; } + .navbar-item.is-tab.is-active { + background-color: transparent; + border-bottom-color: #2e63b8; + border-bottom-style: solid; + border-bottom-width: 3px; + color: #2e63b8; + padding-bottom: calc(0.5rem - 3px); } + +.navbar-content { + flex-grow: 1; + flex-shrink: 1; } + +.navbar-link:not(.is-arrowless) { + padding-right: 2.5em; } + .navbar-link:not(.is-arrowless)::after { + border-color: #2e63b8; + margin-top: -0.375em; + right: 1.125em; } + +.navbar-dropdown { + font-size: 0.875rem; + padding-bottom: 0.5rem; + padding-top: 0.5rem; } + .navbar-dropdown .navbar-item { + padding-left: 1.5rem; + padding-right: 1.5rem; } + +.navbar-divider { + background-color: whitesmoke; + border: none; + display: none; + height: 2px; + margin: 0.5rem 0; } + +@media screen and (max-width: 1055px) { + .navbar > .container { + display: block; } + .navbar-brand .navbar-item, + .navbar-tabs .navbar-item { + align-items: center; + display: flex; } + .navbar-link::after { + display: none; } + .navbar-menu { + background-color: white; + box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1); + padding: 0.5rem 0; } + .navbar-menu.is-active { + display: block; } + .navbar.is-fixed-bottom-touch, .navbar.is-fixed-top-touch { + left: 0; + position: fixed; + right: 0; + z-index: 30; } + .navbar.is-fixed-bottom-touch { + bottom: 0; } + .navbar.is-fixed-bottom-touch.has-shadow { + box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); } + .navbar.is-fixed-top-touch { + top: 0; } + .navbar.is-fixed-top .navbar-menu, .navbar.is-fixed-top-touch .navbar-menu { + -webkit-overflow-scrolling: touch; + max-height: calc(100vh - 3.25rem); + overflow: auto; } + html.has-navbar-fixed-top-touch, + body.has-navbar-fixed-top-touch { + padding-top: 3.25rem; } + html.has-navbar-fixed-bottom-touch, + body.has-navbar-fixed-bottom-touch { + padding-bottom: 3.25rem; } } + +@media screen and (min-width: 1056px) { + .navbar, + .navbar-menu, + .navbar-start, + .navbar-end { + align-items: stretch; + display: flex; } + .navbar { + min-height: 3.25rem; } + .navbar.is-spaced { + padding: 1rem 2rem; } + .navbar.is-spaced .navbar-start, + .navbar.is-spaced .navbar-end { + align-items: center; } + .navbar.is-spaced a.navbar-item, + .navbar.is-spaced .navbar-link { + border-radius: 4px; } + .navbar.is-transparent a.navbar-item:focus, .navbar.is-transparent a.navbar-item:hover, .navbar.is-transparent a.navbar-item.is-active, + .navbar.is-transparent .navbar-link:focus, + .navbar.is-transparent .navbar-link:hover, + .navbar.is-transparent .navbar-link.is-active { + background-color: transparent !important; } + .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link { + background-color: transparent !important; } + .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, .navbar.is-transparent .navbar-dropdown a.navbar-item:hover { + background-color: whitesmoke; + color: #0a0a0a; } + .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active { + background-color: whitesmoke; + color: #2e63b8; } + .navbar-burger { + display: none; } + .navbar-item, + .navbar-link { + align-items: center; + display: flex; } + .navbar-item { + display: flex; } + .navbar-item.has-dropdown { + align-items: stretch; } + .navbar-item.has-dropdown-up .navbar-link::after { + transform: rotate(135deg) translate(0.25em, -0.25em); } + .navbar-item.has-dropdown-up .navbar-dropdown { + border-bottom: 2px solid #dbdbdb; + border-radius: 6px 6px 0 0; + border-top: none; + bottom: 100%; + box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1); + top: auto; } + .navbar-item.is-active .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown { + display: block; } + .navbar.is-spaced .navbar-item.is-active .navbar-dropdown, .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:hover .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed { + opacity: 1; + pointer-events: auto; + transform: translateY(0); } + .navbar-menu { + flex-grow: 1; + flex-shrink: 0; } + .navbar-start { + justify-content: flex-start; + margin-right: auto; } + .navbar-end { + justify-content: flex-end; + margin-left: auto; } + .navbar-dropdown { + background-color: white; + border-bottom-left-radius: 6px; + border-bottom-right-radius: 6px; + border-top: 2px solid #dbdbdb; + box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1); + display: none; + font-size: 0.875rem; + left: 0; + min-width: 100%; + position: absolute; + top: 100%; + z-index: 20; } + .navbar-dropdown .navbar-item { + padding: 0.375rem 1rem; + white-space: nowrap; } + .navbar-dropdown a.navbar-item { + padding-right: 3rem; } + .navbar-dropdown a.navbar-item:focus, .navbar-dropdown a.navbar-item:hover { + background-color: whitesmoke; + color: #0a0a0a; } + .navbar-dropdown a.navbar-item.is-active { + background-color: whitesmoke; + color: #2e63b8; } + .navbar.is-spaced .navbar-dropdown, .navbar-dropdown.is-boxed { + border-radius: 6px; + border-top: none; + box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); + display: block; + opacity: 0; + pointer-events: none; + top: calc(100% + (-4px)); + transform: translateY(-5px); + transition-duration: 86ms; + transition-property: opacity, transform; } + .navbar-dropdown.is-right { + left: auto; + right: 0; } + .navbar-divider { + display: block; } + .navbar > .container .navbar-brand, + .container > .navbar .navbar-brand { + margin-left: -.75rem; } + .navbar > .container .navbar-menu, + .container > .navbar .navbar-menu { + margin-right: -.75rem; } + .navbar.is-fixed-bottom-desktop, .navbar.is-fixed-top-desktop { + left: 0; + position: fixed; + right: 0; + z-index: 30; } + .navbar.is-fixed-bottom-desktop { + bottom: 0; } + .navbar.is-fixed-bottom-desktop.has-shadow { + box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); } + .navbar.is-fixed-top-desktop { + top: 0; } + html.has-navbar-fixed-top-desktop, + body.has-navbar-fixed-top-desktop { + padding-top: 3.25rem; } + html.has-navbar-fixed-bottom-desktop, + body.has-navbar-fixed-bottom-desktop { + padding-bottom: 3.25rem; } + html.has-spaced-navbar-fixed-top, + body.has-spaced-navbar-fixed-top { + padding-top: 5.25rem; } + html.has-spaced-navbar-fixed-bottom, + body.has-spaced-navbar-fixed-bottom { + padding-bottom: 5.25rem; } + a.navbar-item.is-active, + .navbar-link.is-active { + color: #0a0a0a; } + a.navbar-item.is-active:not(:focus):not(:hover), + .navbar-link.is-active:not(:focus):not(:hover) { + background-color: transparent; } + .navbar-item.has-dropdown:focus .navbar-link, .navbar-item.has-dropdown:hover .navbar-link, .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #fafafa; } } + +.hero.is-fullheight-with-navbar { + min-height: calc(100vh - 3.25rem); } + +.pagination { + font-size: 1rem; + margin: -0.25rem; } + .pagination.is-small, #documenter .docs-sidebar form.docs-search > input.pagination { + font-size: 0.75rem; } + .pagination.is-medium { + font-size: 1.25rem; } + .pagination.is-large { + font-size: 1.5rem; } + .pagination.is-rounded .pagination-previous, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous, + .pagination.is-rounded .pagination-next, + #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next { + padding-left: 1em; + padding-right: 1em; + border-radius: 290486px; } + .pagination.is-rounded .pagination-link, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link { + border-radius: 290486px; } + +.pagination, +.pagination-list { + align-items: center; + display: flex; + justify-content: center; + text-align: center; } + +.pagination-previous, +.pagination-next, +.pagination-link, +.pagination-ellipsis { + font-size: 1em; + justify-content: center; + margin: 0.25rem; + padding-left: 0.5em; + padding-right: 0.5em; + text-align: center; } + +.pagination-previous, +.pagination-next, +.pagination-link { + border-color: #dbdbdb; + color: #363636; + min-width: 2.25em; } + .pagination-previous:hover, + .pagination-next:hover, + .pagination-link:hover { + border-color: #b5b5b5; + color: #363636; } + .pagination-previous:focus, + .pagination-next:focus, + .pagination-link:focus { + border-color: #3c5dcd; } + .pagination-previous:active, + .pagination-next:active, + .pagination-link:active { + box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); } + .pagination-previous[disabled], + .pagination-next[disabled], + .pagination-link[disabled] { + background-color: #dbdbdb; + border-color: #dbdbdb; + box-shadow: none; + color: #6b6b6b; + opacity: 0.5; } + +.pagination-previous, +.pagination-next { + padding-left: 0.75em; + padding-right: 0.75em; + white-space: nowrap; } + +.pagination-link.is-current { + background-color: #2e63b8; + border-color: #2e63b8; + color: #fff; } + +.pagination-ellipsis { + color: #b5b5b5; + pointer-events: none; } + +.pagination-list { + flex-wrap: wrap; } + +@media screen and (max-width: 768px) { + .pagination { + flex-wrap: wrap; } + .pagination-previous, + .pagination-next { + flex-grow: 1; + flex-shrink: 1; } + .pagination-list li { + flex-grow: 1; + flex-shrink: 1; } } + +@media screen and (min-width: 769px), print { + .pagination-list { + flex-grow: 1; + flex-shrink: 1; + justify-content: flex-start; + order: 1; } + .pagination-previous { + order: 2; } + .pagination-next { + order: 3; } + .pagination { + justify-content: space-between; } + .pagination.is-centered .pagination-previous { + order: 1; } + .pagination.is-centered .pagination-list { + justify-content: center; + order: 2; } + .pagination.is-centered .pagination-next { + order: 3; } + .pagination.is-right .pagination-previous { + order: 1; } + .pagination.is-right .pagination-next { + order: 2; } + .pagination.is-right .pagination-list { + justify-content: flex-end; + order: 3; } } + +.panel { + font-size: 1rem; } + .panel:not(:last-child) { + margin-bottom: 1.5rem; } + +.panel-heading, +.panel-tabs, +.panel-block { + border-bottom: 1px solid #dbdbdb; + border-left: 1px solid #dbdbdb; + border-right: 1px solid #dbdbdb; } + .panel-heading:first-child, + .panel-tabs:first-child, + .panel-block:first-child { + border-top: 1px solid #dbdbdb; } + +.panel-heading { + background-color: whitesmoke; + border-radius: 4px 4px 0 0; + color: #222222; + font-size: 1.25em; + font-weight: 300; + line-height: 1.25; + padding: 0.5em 0.75em; } + +.panel-tabs { + align-items: flex-end; + display: flex; + font-size: 0.875em; + justify-content: center; } + .panel-tabs a { + border-bottom: 1px solid #dbdbdb; + margin-bottom: -1px; + padding: 0.5em; } + .panel-tabs a.is-active { + border-bottom-color: #4a4a4a; + color: #363636; } + +.panel-list a { + color: #222222; } + .panel-list a:hover { + color: #2e63b8; } + +.panel-block { + align-items: center; + color: #222222; + display: flex; + justify-content: flex-start; + padding: 0.5em 0.75em; } + .panel-block input[type="checkbox"] { + margin-right: 0.75em; } + .panel-block > .control { + flex-grow: 1; + flex-shrink: 1; + width: 100%; } + .panel-block.is-wrapped { + flex-wrap: wrap; } + .panel-block.is-active { + border-left-color: #2e63b8; + color: #363636; } + .panel-block.is-active .panel-icon { + color: #2e63b8; } + +a.panel-block, +label.panel-block { + cursor: pointer; } + a.panel-block:hover, + label.panel-block:hover { + background-color: whitesmoke; } + +.panel-icon { + display: inline-block; + font-size: 14px; + height: 1em; + line-height: 1em; + text-align: center; + vertical-align: top; + width: 1em; + color: #6b6b6b; + margin-right: 0.75em; } + .panel-icon .fa { + font-size: inherit; + line-height: inherit; } + +.tabs { + -webkit-overflow-scrolling: touch; + align-items: stretch; + display: flex; + font-size: 1rem; + justify-content: space-between; + overflow: hidden; + overflow-x: auto; + white-space: nowrap; } + .tabs a { + align-items: center; + border-bottom-color: #dbdbdb; + border-bottom-style: solid; + border-bottom-width: 1px; + color: #222222; + display: flex; + justify-content: center; + margin-bottom: -1px; + padding: 0.5em 1em; + vertical-align: top; } + .tabs a:hover { + border-bottom-color: #222222; + color: #222222; } + .tabs li { + display: block; } + .tabs li.is-active a { + border-bottom-color: #2e63b8; + color: #2e63b8; } + .tabs ul { + align-items: center; + border-bottom-color: #dbdbdb; + border-bottom-style: solid; + border-bottom-width: 1px; + display: flex; + flex-grow: 1; + flex-shrink: 0; + justify-content: flex-start; } + .tabs ul.is-left { + padding-right: 0.75em; } + .tabs ul.is-center { + flex: none; + justify-content: center; + padding-left: 0.75em; + padding-right: 0.75em; } + .tabs ul.is-right { + justify-content: flex-end; + padding-left: 0.75em; } + .tabs .icon:first-child { + margin-right: 0.5em; } + .tabs .icon:last-child { + margin-left: 0.5em; } + .tabs.is-centered ul { + justify-content: center; } + .tabs.is-right ul { + justify-content: flex-end; } + .tabs.is-boxed a { + border: 1px solid transparent; + border-radius: 4px 4px 0 0; } + .tabs.is-boxed a:hover { + background-color: whitesmoke; + border-bottom-color: #dbdbdb; } + .tabs.is-boxed li.is-active a { + background-color: white; + border-color: #dbdbdb; + border-bottom-color: transparent !important; } + .tabs.is-fullwidth li { + flex-grow: 1; + flex-shrink: 0; } + .tabs.is-toggle a { + border-color: #dbdbdb; + border-style: solid; + border-width: 1px; + margin-bottom: 0; + position: relative; } + .tabs.is-toggle a:hover { + background-color: whitesmoke; + border-color: #b5b5b5; + z-index: 2; } + .tabs.is-toggle li + li { + margin-left: -1px; } + .tabs.is-toggle li:first-child a { + border-radius: 4px 0 0 4px; } + .tabs.is-toggle li:last-child a { + border-radius: 0 4px 4px 0; } + .tabs.is-toggle li.is-active a { + background-color: #2e63b8; + border-color: #2e63b8; + color: #fff; + z-index: 1; } + .tabs.is-toggle ul { + border-bottom: none; } + .tabs.is-toggle.is-toggle-rounded li:first-child a { + border-bottom-left-radius: 290486px; + border-top-left-radius: 290486px; + padding-left: 1.25em; } + .tabs.is-toggle.is-toggle-rounded li:last-child a { + border-bottom-right-radius: 290486px; + border-top-right-radius: 290486px; + padding-right: 1.25em; } + .tabs.is-small, #documenter .docs-sidebar form.docs-search > input.tabs { + font-size: 0.75rem; } + .tabs.is-medium { + font-size: 1.25rem; } + .tabs.is-large { + font-size: 1.5rem; } + +.column { + display: block; + flex-basis: 0; + flex-grow: 1; + flex-shrink: 1; + padding: 0.75rem; } + .columns.is-mobile > .column.is-narrow { + flex: none; } + .columns.is-mobile > .column.is-full { + flex: none; + width: 100%; } + .columns.is-mobile > .column.is-three-quarters { + flex: none; + width: 75%; } + .columns.is-mobile > .column.is-two-thirds { + flex: none; + width: 66.6666%; } + .columns.is-mobile > .column.is-half { + flex: none; + width: 50%; } + .columns.is-mobile > .column.is-one-third { + flex: none; + width: 33.3333%; } + .columns.is-mobile > .column.is-one-quarter { + flex: none; + width: 25%; } + .columns.is-mobile > .column.is-one-fifth { + flex: none; + width: 20%; } + .columns.is-mobile > .column.is-two-fifths { + flex: none; + width: 40%; } + .columns.is-mobile > .column.is-three-fifths { + flex: none; + width: 60%; } + .columns.is-mobile > .column.is-four-fifths { + flex: none; + width: 80%; } + .columns.is-mobile > .column.is-offset-three-quarters { + margin-left: 75%; } + .columns.is-mobile > .column.is-offset-two-thirds { + margin-left: 66.6666%; } + .columns.is-mobile > .column.is-offset-half { + margin-left: 50%; } + .columns.is-mobile > .column.is-offset-one-third { + margin-left: 33.3333%; } + .columns.is-mobile > .column.is-offset-one-quarter { + margin-left: 25%; } + .columns.is-mobile > .column.is-offset-one-fifth { + margin-left: 20%; } + .columns.is-mobile > .column.is-offset-two-fifths { + margin-left: 40%; } + .columns.is-mobile > .column.is-offset-three-fifths { + margin-left: 60%; } + .columns.is-mobile > .column.is-offset-four-fifths { + margin-left: 80%; } + .columns.is-mobile > .column.is-0 { + flex: none; + width: 0%; } + .columns.is-mobile > .column.is-offset-0 { + margin-left: 0%; } + .columns.is-mobile > .column.is-1 { + flex: none; + width: 8.3333333333%; } + .columns.is-mobile > .column.is-offset-1 { + margin-left: 8.3333333333%; } + .columns.is-mobile > .column.is-2 { + flex: none; + width: 16.6666666667%; } + .columns.is-mobile > .column.is-offset-2 { + margin-left: 16.6666666667%; } + .columns.is-mobile > .column.is-3 { + flex: none; + width: 25%; } + .columns.is-mobile > .column.is-offset-3 { + margin-left: 25%; } + .columns.is-mobile > .column.is-4 { + flex: none; + width: 33.3333333333%; } + .columns.is-mobile > .column.is-offset-4 { + margin-left: 33.3333333333%; } + .columns.is-mobile > .column.is-5 { + flex: none; + width: 41.6666666667%; } + .columns.is-mobile > .column.is-offset-5 { + margin-left: 41.6666666667%; } + .columns.is-mobile > .column.is-6 { + flex: none; + width: 50%; } + .columns.is-mobile > .column.is-offset-6 { + margin-left: 50%; } + .columns.is-mobile > .column.is-7 { + flex: none; + width: 58.3333333333%; } + .columns.is-mobile > .column.is-offset-7 { + margin-left: 58.3333333333%; } + .columns.is-mobile > .column.is-8 { + flex: none; + width: 66.6666666667%; } + .columns.is-mobile > .column.is-offset-8 { + margin-left: 66.6666666667%; } + .columns.is-mobile > .column.is-9 { + flex: none; + width: 75%; } + .columns.is-mobile > .column.is-offset-9 { + margin-left: 75%; } + .columns.is-mobile > .column.is-10 { + flex: none; + width: 83.3333333333%; } + .columns.is-mobile > .column.is-offset-10 { + margin-left: 83.3333333333%; } + .columns.is-mobile > .column.is-11 { + flex: none; + width: 91.6666666667%; } + .columns.is-mobile > .column.is-offset-11 { + margin-left: 91.6666666667%; } + .columns.is-mobile > .column.is-12 { + flex: none; + width: 100%; } + .columns.is-mobile > .column.is-offset-12 { + margin-left: 100%; } + @media screen and (max-width: 768px) { + .column.is-narrow-mobile { + flex: none; } + .column.is-full-mobile { + flex: none; + width: 100%; } + .column.is-three-quarters-mobile { + flex: none; + width: 75%; } + .column.is-two-thirds-mobile { + flex: none; + width: 66.6666%; } + .column.is-half-mobile { + flex: none; + width: 50%; } + .column.is-one-third-mobile { + flex: none; + width: 33.3333%; } + .column.is-one-quarter-mobile { + flex: none; + width: 25%; } + .column.is-one-fifth-mobile { + flex: none; + width: 20%; } + .column.is-two-fifths-mobile { + flex: none; + width: 40%; } + .column.is-three-fifths-mobile { + flex: none; + width: 60%; } + .column.is-four-fifths-mobile { + flex: none; + width: 80%; } + .column.is-offset-three-quarters-mobile { + margin-left: 75%; } + .column.is-offset-two-thirds-mobile { + margin-left: 66.6666%; } + .column.is-offset-half-mobile { + margin-left: 50%; } + .column.is-offset-one-third-mobile { + margin-left: 33.3333%; } + .column.is-offset-one-quarter-mobile { + margin-left: 25%; } + .column.is-offset-one-fifth-mobile { + margin-left: 20%; } + .column.is-offset-two-fifths-mobile { + margin-left: 40%; } + .column.is-offset-three-fifths-mobile { + margin-left: 60%; } + .column.is-offset-four-fifths-mobile { + margin-left: 80%; } + .column.is-0-mobile { + flex: none; + width: 0%; } + .column.is-offset-0-mobile { + margin-left: 0%; } + .column.is-1-mobile { + flex: none; + width: 8.3333333333%; } + .column.is-offset-1-mobile { + margin-left: 8.3333333333%; } + .column.is-2-mobile { + flex: none; + width: 16.6666666667%; } + .column.is-offset-2-mobile { + margin-left: 16.6666666667%; } + .column.is-3-mobile { + flex: none; + width: 25%; } + .column.is-offset-3-mobile { + margin-left: 25%; } + .column.is-4-mobile { + flex: none; + width: 33.3333333333%; } + .column.is-offset-4-mobile { + margin-left: 33.3333333333%; } + .column.is-5-mobile { + flex: none; + width: 41.6666666667%; } + .column.is-offset-5-mobile { + margin-left: 41.6666666667%; } + .column.is-6-mobile { + flex: none; + width: 50%; } + .column.is-offset-6-mobile { + margin-left: 50%; } + .column.is-7-mobile { + flex: none; + width: 58.3333333333%; } + .column.is-offset-7-mobile { + margin-left: 58.3333333333%; } + .column.is-8-mobile { + flex: none; + width: 66.6666666667%; } + .column.is-offset-8-mobile { + margin-left: 66.6666666667%; } + .column.is-9-mobile { + flex: none; + width: 75%; } + .column.is-offset-9-mobile { + margin-left: 75%; } + .column.is-10-mobile { + flex: none; + width: 83.3333333333%; } + .column.is-offset-10-mobile { + margin-left: 83.3333333333%; } + .column.is-11-mobile { + flex: none; + width: 91.6666666667%; } + .column.is-offset-11-mobile { + margin-left: 91.6666666667%; } + .column.is-12-mobile { + flex: none; + width: 100%; } + .column.is-offset-12-mobile { + margin-left: 100%; } } + @media screen and (min-width: 769px), print { + .column.is-narrow, .column.is-narrow-tablet { + flex: none; } + .column.is-full, .column.is-full-tablet { + flex: none; + width: 100%; } + .column.is-three-quarters, .column.is-three-quarters-tablet { + flex: none; + width: 75%; } + .column.is-two-thirds, .column.is-two-thirds-tablet { + flex: none; + width: 66.6666%; } + .column.is-half, .column.is-half-tablet { + flex: none; + width: 50%; } + .column.is-one-third, .column.is-one-third-tablet { + flex: none; + width: 33.3333%; } + .column.is-one-quarter, .column.is-one-quarter-tablet { + flex: none; + width: 25%; } + .column.is-one-fifth, .column.is-one-fifth-tablet { + flex: none; + width: 20%; } + .column.is-two-fifths, .column.is-two-fifths-tablet { + flex: none; + width: 40%; } + .column.is-three-fifths, .column.is-three-fifths-tablet { + flex: none; + width: 60%; } + .column.is-four-fifths, .column.is-four-fifths-tablet { + flex: none; + width: 80%; } + .column.is-offset-three-quarters, .column.is-offset-three-quarters-tablet { + margin-left: 75%; } + .column.is-offset-two-thirds, .column.is-offset-two-thirds-tablet { + margin-left: 66.6666%; } + .column.is-offset-half, .column.is-offset-half-tablet { + margin-left: 50%; } + .column.is-offset-one-third, .column.is-offset-one-third-tablet { + margin-left: 33.3333%; } + .column.is-offset-one-quarter, .column.is-offset-one-quarter-tablet { + margin-left: 25%; } + .column.is-offset-one-fifth, .column.is-offset-one-fifth-tablet { + margin-left: 20%; } + .column.is-offset-two-fifths, .column.is-offset-two-fifths-tablet { + margin-left: 40%; } + .column.is-offset-three-fifths, .column.is-offset-three-fifths-tablet { + margin-left: 60%; } + .column.is-offset-four-fifths, .column.is-offset-four-fifths-tablet { + margin-left: 80%; } + .column.is-0, .column.is-0-tablet { + flex: none; + width: 0%; } + .column.is-offset-0, .column.is-offset-0-tablet { + margin-left: 0%; } + .column.is-1, .column.is-1-tablet { + flex: none; + width: 8.3333333333%; } + .column.is-offset-1, .column.is-offset-1-tablet { + margin-left: 8.3333333333%; } + .column.is-2, .column.is-2-tablet { + flex: none; + width: 16.6666666667%; } + .column.is-offset-2, .column.is-offset-2-tablet { + margin-left: 16.6666666667%; } + .column.is-3, .column.is-3-tablet { + flex: none; + width: 25%; } + .column.is-offset-3, .column.is-offset-3-tablet { + margin-left: 25%; } + .column.is-4, .column.is-4-tablet { + flex: none; + width: 33.3333333333%; } + .column.is-offset-4, .column.is-offset-4-tablet { + margin-left: 33.3333333333%; } + .column.is-5, .column.is-5-tablet { + flex: none; + width: 41.6666666667%; } + .column.is-offset-5, .column.is-offset-5-tablet { + margin-left: 41.6666666667%; } + .column.is-6, .column.is-6-tablet { + flex: none; + width: 50%; } + .column.is-offset-6, .column.is-offset-6-tablet { + margin-left: 50%; } + .column.is-7, .column.is-7-tablet { + flex: none; + width: 58.3333333333%; } + .column.is-offset-7, .column.is-offset-7-tablet { + margin-left: 58.3333333333%; } + .column.is-8, .column.is-8-tablet { + flex: none; + width: 66.6666666667%; } + .column.is-offset-8, .column.is-offset-8-tablet { + margin-left: 66.6666666667%; } + .column.is-9, .column.is-9-tablet { + flex: none; + width: 75%; } + .column.is-offset-9, .column.is-offset-9-tablet { + margin-left: 75%; } + .column.is-10, .column.is-10-tablet { + flex: none; + width: 83.3333333333%; } + .column.is-offset-10, .column.is-offset-10-tablet { + margin-left: 83.3333333333%; } + .column.is-11, .column.is-11-tablet { + flex: none; + width: 91.6666666667%; } + .column.is-offset-11, .column.is-offset-11-tablet { + margin-left: 91.6666666667%; } + .column.is-12, .column.is-12-tablet { + flex: none; + width: 100%; } + .column.is-offset-12, .column.is-offset-12-tablet { + margin-left: 100%; } } + @media screen and (max-width: 1055px) { + .column.is-narrow-touch { + flex: none; } + .column.is-full-touch { + flex: none; + width: 100%; } + .column.is-three-quarters-touch { + flex: none; + width: 75%; } + .column.is-two-thirds-touch { + flex: none; + width: 66.6666%; } + .column.is-half-touch { + flex: none; + width: 50%; } + .column.is-one-third-touch { + flex: none; + width: 33.3333%; } + .column.is-one-quarter-touch { + flex: none; + width: 25%; } + .column.is-one-fifth-touch { + flex: none; + width: 20%; } + .column.is-two-fifths-touch { + flex: none; + width: 40%; } + .column.is-three-fifths-touch { + flex: none; + width: 60%; } + .column.is-four-fifths-touch { + flex: none; + width: 80%; } + .column.is-offset-three-quarters-touch { + margin-left: 75%; } + .column.is-offset-two-thirds-touch { + margin-left: 66.6666%; } + .column.is-offset-half-touch { + margin-left: 50%; } + .column.is-offset-one-third-touch { + margin-left: 33.3333%; } + .column.is-offset-one-quarter-touch { + margin-left: 25%; } + .column.is-offset-one-fifth-touch { + margin-left: 20%; } + .column.is-offset-two-fifths-touch { + margin-left: 40%; } + .column.is-offset-three-fifths-touch { + margin-left: 60%; } + .column.is-offset-four-fifths-touch { + margin-left: 80%; } + .column.is-0-touch { + flex: none; + width: 0%; } + .column.is-offset-0-touch { + margin-left: 0%; } + .column.is-1-touch { + flex: none; + width: 8.3333333333%; } + .column.is-offset-1-touch { + margin-left: 8.3333333333%; } + .column.is-2-touch { + flex: none; + width: 16.6666666667%; } + .column.is-offset-2-touch { + margin-left: 16.6666666667%; } + .column.is-3-touch { + flex: none; + width: 25%; } + .column.is-offset-3-touch { + margin-left: 25%; } + .column.is-4-touch { + flex: none; + width: 33.3333333333%; } + .column.is-offset-4-touch { + margin-left: 33.3333333333%; } + .column.is-5-touch { + flex: none; + width: 41.6666666667%; } + .column.is-offset-5-touch { + margin-left: 41.6666666667%; } + .column.is-6-touch { + flex: none; + width: 50%; } + .column.is-offset-6-touch { + margin-left: 50%; } + .column.is-7-touch { + flex: none; + width: 58.3333333333%; } + .column.is-offset-7-touch { + margin-left: 58.3333333333%; } + .column.is-8-touch { + flex: none; + width: 66.6666666667%; } + .column.is-offset-8-touch { + margin-left: 66.6666666667%; } + .column.is-9-touch { + flex: none; + width: 75%; } + .column.is-offset-9-touch { + margin-left: 75%; } + .column.is-10-touch { + flex: none; + width: 83.3333333333%; } + .column.is-offset-10-touch { + margin-left: 83.3333333333%; } + .column.is-11-touch { + flex: none; + width: 91.6666666667%; } + .column.is-offset-11-touch { + margin-left: 91.6666666667%; } + .column.is-12-touch { + flex: none; + width: 100%; } + .column.is-offset-12-touch { + margin-left: 100%; } } + @media screen and (min-width: 1056px) { + .column.is-narrow-desktop { + flex: none; } + .column.is-full-desktop { + flex: none; + width: 100%; } + .column.is-three-quarters-desktop { + flex: none; + width: 75%; } + .column.is-two-thirds-desktop { + flex: none; + width: 66.6666%; } + .column.is-half-desktop { + flex: none; + width: 50%; } + .column.is-one-third-desktop { + flex: none; + width: 33.3333%; } + .column.is-one-quarter-desktop { + flex: none; + width: 25%; } + .column.is-one-fifth-desktop { + flex: none; + width: 20%; } + .column.is-two-fifths-desktop { + flex: none; + width: 40%; } + .column.is-three-fifths-desktop { + flex: none; + width: 60%; } + .column.is-four-fifths-desktop { + flex: none; + width: 80%; } + .column.is-offset-three-quarters-desktop { + margin-left: 75%; } + .column.is-offset-two-thirds-desktop { + margin-left: 66.6666%; } + .column.is-offset-half-desktop { + margin-left: 50%; } + .column.is-offset-one-third-desktop { + margin-left: 33.3333%; } + .column.is-offset-one-quarter-desktop { + margin-left: 25%; } + .column.is-offset-one-fifth-desktop { + margin-left: 20%; } + .column.is-offset-two-fifths-desktop { + margin-left: 40%; } + .column.is-offset-three-fifths-desktop { + margin-left: 60%; } + .column.is-offset-four-fifths-desktop { + margin-left: 80%; } + .column.is-0-desktop { + flex: none; + width: 0%; } + .column.is-offset-0-desktop { + margin-left: 0%; } + .column.is-1-desktop { + flex: none; + width: 8.3333333333%; } + .column.is-offset-1-desktop { + margin-left: 8.3333333333%; } + .column.is-2-desktop { + flex: none; + width: 16.6666666667%; } + .column.is-offset-2-desktop { + margin-left: 16.6666666667%; } + .column.is-3-desktop { + flex: none; + width: 25%; } + .column.is-offset-3-desktop { + margin-left: 25%; } + .column.is-4-desktop { + flex: none; + width: 33.3333333333%; } + .column.is-offset-4-desktop { + margin-left: 33.3333333333%; } + .column.is-5-desktop { + flex: none; + width: 41.6666666667%; } + .column.is-offset-5-desktop { + margin-left: 41.6666666667%; } + .column.is-6-desktop { + flex: none; + width: 50%; } + .column.is-offset-6-desktop { + margin-left: 50%; } + .column.is-7-desktop { + flex: none; + width: 58.3333333333%; } + .column.is-offset-7-desktop { + margin-left: 58.3333333333%; } + .column.is-8-desktop { + flex: none; + width: 66.6666666667%; } + .column.is-offset-8-desktop { + margin-left: 66.6666666667%; } + .column.is-9-desktop { + flex: none; + width: 75%; } + .column.is-offset-9-desktop { + margin-left: 75%; } + .column.is-10-desktop { + flex: none; + width: 83.3333333333%; } + .column.is-offset-10-desktop { + margin-left: 83.3333333333%; } + .column.is-11-desktop { + flex: none; + width: 91.6666666667%; } + .column.is-offset-11-desktop { + margin-left: 91.6666666667%; } + .column.is-12-desktop { + flex: none; + width: 100%; } + .column.is-offset-12-desktop { + margin-left: 100%; } } + @media screen and (min-width: 1216px) { + .column.is-narrow-widescreen { + flex: none; } + .column.is-full-widescreen { + flex: none; + width: 100%; } + .column.is-three-quarters-widescreen { + flex: none; + width: 75%; } + .column.is-two-thirds-widescreen { + flex: none; + width: 66.6666%; } + .column.is-half-widescreen { + flex: none; + width: 50%; } + .column.is-one-third-widescreen { + flex: none; + width: 33.3333%; } + .column.is-one-quarter-widescreen { + flex: none; + width: 25%; } + .column.is-one-fifth-widescreen { + flex: none; + width: 20%; } + .column.is-two-fifths-widescreen { + flex: none; + width: 40%; } + .column.is-three-fifths-widescreen { + flex: none; + width: 60%; } + .column.is-four-fifths-widescreen { + flex: none; + width: 80%; } + .column.is-offset-three-quarters-widescreen { + margin-left: 75%; } + .column.is-offset-two-thirds-widescreen { + margin-left: 66.6666%; } + .column.is-offset-half-widescreen { + margin-left: 50%; } + .column.is-offset-one-third-widescreen { + margin-left: 33.3333%; } + .column.is-offset-one-quarter-widescreen { + margin-left: 25%; } + .column.is-offset-one-fifth-widescreen { + margin-left: 20%; } + .column.is-offset-two-fifths-widescreen { + margin-left: 40%; } + .column.is-offset-three-fifths-widescreen { + margin-left: 60%; } + .column.is-offset-four-fifths-widescreen { + margin-left: 80%; } + .column.is-0-widescreen { + flex: none; + width: 0%; } + .column.is-offset-0-widescreen { + margin-left: 0%; } + .column.is-1-widescreen { + flex: none; + width: 8.3333333333%; } + .column.is-offset-1-widescreen { + margin-left: 8.3333333333%; } + .column.is-2-widescreen { + flex: none; + width: 16.6666666667%; } + .column.is-offset-2-widescreen { + margin-left: 16.6666666667%; } + .column.is-3-widescreen { + flex: none; + width: 25%; } + .column.is-offset-3-widescreen { + margin-left: 25%; } + .column.is-4-widescreen { + flex: none; + width: 33.3333333333%; } + .column.is-offset-4-widescreen { + margin-left: 33.3333333333%; } + .column.is-5-widescreen { + flex: none; + width: 41.6666666667%; } + .column.is-offset-5-widescreen { + margin-left: 41.6666666667%; } + .column.is-6-widescreen { + flex: none; + width: 50%; } + .column.is-offset-6-widescreen { + margin-left: 50%; } + .column.is-7-widescreen { + flex: none; + width: 58.3333333333%; } + .column.is-offset-7-widescreen { + margin-left: 58.3333333333%; } + .column.is-8-widescreen { + flex: none; + width: 66.6666666667%; } + .column.is-offset-8-widescreen { + margin-left: 66.6666666667%; } + .column.is-9-widescreen { + flex: none; + width: 75%; } + .column.is-offset-9-widescreen { + margin-left: 75%; } + .column.is-10-widescreen { + flex: none; + width: 83.3333333333%; } + .column.is-offset-10-widescreen { + margin-left: 83.3333333333%; } + .column.is-11-widescreen { + flex: none; + width: 91.6666666667%; } + .column.is-offset-11-widescreen { + margin-left: 91.6666666667%; } + .column.is-12-widescreen { + flex: none; + width: 100%; } + .column.is-offset-12-widescreen { + margin-left: 100%; } } + @media screen and (min-width: 1408px) { + .column.is-narrow-fullhd { + flex: none; } + .column.is-full-fullhd { + flex: none; + width: 100%; } + .column.is-three-quarters-fullhd { + flex: none; + width: 75%; } + .column.is-two-thirds-fullhd { + flex: none; + width: 66.6666%; } + .column.is-half-fullhd { + flex: none; + width: 50%; } + .column.is-one-third-fullhd { + flex: none; + width: 33.3333%; } + .column.is-one-quarter-fullhd { + flex: none; + width: 25%; } + .column.is-one-fifth-fullhd { + flex: none; + width: 20%; } + .column.is-two-fifths-fullhd { + flex: none; + width: 40%; } + .column.is-three-fifths-fullhd { + flex: none; + width: 60%; } + .column.is-four-fifths-fullhd { + flex: none; + width: 80%; } + .column.is-offset-three-quarters-fullhd { + margin-left: 75%; } + .column.is-offset-two-thirds-fullhd { + margin-left: 66.6666%; } + .column.is-offset-half-fullhd { + margin-left: 50%; } + .column.is-offset-one-third-fullhd { + margin-left: 33.3333%; } + .column.is-offset-one-quarter-fullhd { + margin-left: 25%; } + .column.is-offset-one-fifth-fullhd { + margin-left: 20%; } + .column.is-offset-two-fifths-fullhd { + margin-left: 40%; } + .column.is-offset-three-fifths-fullhd { + margin-left: 60%; } + .column.is-offset-four-fifths-fullhd { + margin-left: 80%; } + .column.is-0-fullhd { + flex: none; + width: 0%; } + .column.is-offset-0-fullhd { + margin-left: 0%; } + .column.is-1-fullhd { + flex: none; + width: 8.3333333333%; } + .column.is-offset-1-fullhd { + margin-left: 8.3333333333%; } + .column.is-2-fullhd { + flex: none; + width: 16.6666666667%; } + .column.is-offset-2-fullhd { + margin-left: 16.6666666667%; } + .column.is-3-fullhd { + flex: none; + width: 25%; } + .column.is-offset-3-fullhd { + margin-left: 25%; } + .column.is-4-fullhd { + flex: none; + width: 33.3333333333%; } + .column.is-offset-4-fullhd { + margin-left: 33.3333333333%; } + .column.is-5-fullhd { + flex: none; + width: 41.6666666667%; } + .column.is-offset-5-fullhd { + margin-left: 41.6666666667%; } + .column.is-6-fullhd { + flex: none; + width: 50%; } + .column.is-offset-6-fullhd { + margin-left: 50%; } + .column.is-7-fullhd { + flex: none; + width: 58.3333333333%; } + .column.is-offset-7-fullhd { + margin-left: 58.3333333333%; } + .column.is-8-fullhd { + flex: none; + width: 66.6666666667%; } + .column.is-offset-8-fullhd { + margin-left: 66.6666666667%; } + .column.is-9-fullhd { + flex: none; + width: 75%; } + .column.is-offset-9-fullhd { + margin-left: 75%; } + .column.is-10-fullhd { + flex: none; + width: 83.3333333333%; } + .column.is-offset-10-fullhd { + margin-left: 83.3333333333%; } + .column.is-11-fullhd { + flex: none; + width: 91.6666666667%; } + .column.is-offset-11-fullhd { + margin-left: 91.6666666667%; } + .column.is-12-fullhd { + flex: none; + width: 100%; } + .column.is-offset-12-fullhd { + margin-left: 100%; } } +.columns { + margin-left: -0.75rem; + margin-right: -0.75rem; + margin-top: -0.75rem; } + .columns:last-child { + margin-bottom: -0.75rem; } + .columns:not(:last-child) { + margin-bottom: calc(1.5rem - 0.75rem); } + .columns.is-centered { + justify-content: center; } + .columns.is-gapless { + margin-left: 0; + margin-right: 0; + margin-top: 0; } + .columns.is-gapless > .column { + margin: 0; + padding: 0 !important; } + .columns.is-gapless:not(:last-child) { + margin-bottom: 1.5rem; } + .columns.is-gapless:last-child { + margin-bottom: 0; } + .columns.is-mobile { + display: flex; } + .columns.is-multiline { + flex-wrap: wrap; } + .columns.is-vcentered { + align-items: center; } + @media screen and (min-width: 769px), print { + .columns:not(.is-desktop) { + display: flex; } } + @media screen and (min-width: 1056px) { + .columns.is-desktop { + display: flex; } } +.columns.is-variable { + --columnGap: 0.75rem; + margin-left: calc(-1 * var(--columnGap)); + margin-right: calc(-1 * var(--columnGap)); } + .columns.is-variable .column { + padding-left: var(--columnGap); + padding-right: var(--columnGap); } + .columns.is-variable.is-0 { + --columnGap: 0rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-0-mobile { + --columnGap: 0rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-0-tablet { + --columnGap: 0rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-0-tablet-only { + --columnGap: 0rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-0-touch { + --columnGap: 0rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-0-desktop { + --columnGap: 0rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-0-desktop-only { + --columnGap: 0rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-0-widescreen { + --columnGap: 0rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-0-widescreen-only { + --columnGap: 0rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-0-fullhd { + --columnGap: 0rem; } } + .columns.is-variable.is-1 { + --columnGap: 0.25rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-1-mobile { + --columnGap: 0.25rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-1-tablet { + --columnGap: 0.25rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-1-tablet-only { + --columnGap: 0.25rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-1-touch { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-1-desktop { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-1-desktop-only { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-1-widescreen { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-1-widescreen-only { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-1-fullhd { + --columnGap: 0.25rem; } } + .columns.is-variable.is-2 { + --columnGap: 0.5rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-2-mobile { + --columnGap: 0.5rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-2-tablet { + --columnGap: 0.5rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-2-tablet-only { + --columnGap: 0.5rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-2-touch { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-2-desktop { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-2-desktop-only { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-2-widescreen { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-2-widescreen-only { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-2-fullhd { + --columnGap: 0.5rem; } } + .columns.is-variable.is-3 { + --columnGap: 0.75rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-3-mobile { + --columnGap: 0.75rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-3-tablet { + --columnGap: 0.75rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-3-tablet-only { + --columnGap: 0.75rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-3-touch { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-3-desktop { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-3-desktop-only { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-3-widescreen { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-3-widescreen-only { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-3-fullhd { + --columnGap: 0.75rem; } } + .columns.is-variable.is-4 { + --columnGap: 1rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-4-mobile { + --columnGap: 1rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-4-tablet { + --columnGap: 1rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-4-tablet-only { + --columnGap: 1rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-4-touch { + --columnGap: 1rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-4-desktop { + --columnGap: 1rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-4-desktop-only { + --columnGap: 1rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-4-widescreen { + --columnGap: 1rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-4-widescreen-only { + --columnGap: 1rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-4-fullhd { + --columnGap: 1rem; } } + .columns.is-variable.is-5 { + --columnGap: 1.25rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-5-mobile { + --columnGap: 1.25rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-5-tablet { + --columnGap: 1.25rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-5-tablet-only { + --columnGap: 1.25rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-5-touch { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-5-desktop { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-5-desktop-only { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-5-widescreen { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-5-widescreen-only { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-5-fullhd { + --columnGap: 1.25rem; } } + .columns.is-variable.is-6 { + --columnGap: 1.5rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-6-mobile { + --columnGap: 1.5rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-6-tablet { + --columnGap: 1.5rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-6-tablet-only { + --columnGap: 1.5rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-6-touch { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-6-desktop { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-6-desktop-only { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-6-widescreen { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-6-widescreen-only { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-6-fullhd { + --columnGap: 1.5rem; } } + .columns.is-variable.is-7 { + --columnGap: 1.75rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-7-mobile { + --columnGap: 1.75rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-7-tablet { + --columnGap: 1.75rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-7-tablet-only { + --columnGap: 1.75rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-7-touch { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-7-desktop { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-7-desktop-only { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-7-widescreen { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-7-widescreen-only { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-7-fullhd { + --columnGap: 1.75rem; } } + .columns.is-variable.is-8 { + --columnGap: 2rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-8-mobile { + --columnGap: 2rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-8-tablet { + --columnGap: 2rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-8-tablet-only { + --columnGap: 2rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-8-touch { + --columnGap: 2rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-8-desktop { + --columnGap: 2rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-8-desktop-only { + --columnGap: 2rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-8-widescreen { + --columnGap: 2rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-8-widescreen-only { + --columnGap: 2rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-8-fullhd { + --columnGap: 2rem; } } +.tile { + align-items: stretch; + display: block; + flex-basis: 0; + flex-grow: 1; + flex-shrink: 1; + min-height: min-content; } + .tile.is-ancestor { + margin-left: -0.75rem; + margin-right: -0.75rem; + margin-top: -0.75rem; } + .tile.is-ancestor:last-child { + margin-bottom: -0.75rem; } + .tile.is-ancestor:not(:last-child) { + margin-bottom: 0.75rem; } + .tile.is-child { + margin: 0 !important; } + .tile.is-parent { + padding: 0.75rem; } + .tile.is-vertical { + flex-direction: column; } + .tile.is-vertical > .tile.is-child:not(:last-child) { + margin-bottom: 1.5rem !important; } + @media screen and (min-width: 769px), print { + .tile:not(.is-child) { + display: flex; } + .tile.is-1 { + flex: none; + width: 8.3333333333%; } + .tile.is-2 { + flex: none; + width: 16.6666666667%; } + .tile.is-3 { + flex: none; + width: 25%; } + .tile.is-4 { + flex: none; + width: 33.3333333333%; } + .tile.is-5 { + flex: none; + width: 41.6666666667%; } + .tile.is-6 { + flex: none; + width: 50%; } + .tile.is-7 { + flex: none; + width: 58.3333333333%; } + .tile.is-8 { + flex: none; + width: 66.6666666667%; } + .tile.is-9 { + flex: none; + width: 75%; } + .tile.is-10 { + flex: none; + width: 83.3333333333%; } + .tile.is-11 { + flex: none; + width: 91.6666666667%; } + .tile.is-12 { + flex: none; + width: 100%; } } +.hero { + align-items: stretch; + display: flex; + flex-direction: column; + justify-content: space-between; } + .hero .navbar { + background: none; } + .hero .tabs ul { + border-bottom: none; } + .hero.is-white { + background-color: white; + color: #0a0a0a; } + .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-white strong { + color: inherit; } + .hero.is-white .title { + color: #0a0a0a; } + .hero.is-white .subtitle { + color: rgba(10, 10, 10, 0.9); } + .hero.is-white .subtitle a:not(.button), + .hero.is-white .subtitle strong { + color: #0a0a0a; } + @media screen and (max-width: 1055px) { + .hero.is-white .navbar-menu { + background-color: white; } } + .hero.is-white .navbar-item, + .hero.is-white .navbar-link { + color: rgba(10, 10, 10, 0.7); } + .hero.is-white a.navbar-item:hover, .hero.is-white a.navbar-item.is-active, + .hero.is-white .navbar-link:hover, + .hero.is-white .navbar-link.is-active { + background-color: #f2f2f2; + color: #0a0a0a; } + .hero.is-white .tabs a { + color: #0a0a0a; + opacity: 0.9; } + .hero.is-white .tabs a:hover { + opacity: 1; } + .hero.is-white .tabs li.is-active a { + opacity: 1; } + .hero.is-white .tabs.is-boxed a, .hero.is-white .tabs.is-toggle a { + color: #0a0a0a; } + .hero.is-white .tabs.is-boxed a:hover, .hero.is-white .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-white .tabs.is-boxed li.is-active a, .hero.is-white .tabs.is-boxed li.is-active a:hover, .hero.is-white .tabs.is-toggle li.is-active a, .hero.is-white .tabs.is-toggle li.is-active a:hover { + background-color: #0a0a0a; + border-color: #0a0a0a; + color: white; } + .hero.is-white.is-bold { + background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } + @media screen and (max-width: 768px) { + .hero.is-white.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #e8e3e4 0%, white 71%, white 100%); } } + .hero.is-black { + background-color: #0a0a0a; + color: white; } + .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-black strong { + color: inherit; } + .hero.is-black .title { + color: white; } + .hero.is-black .subtitle { + color: rgba(255, 255, 255, 0.9); } + .hero.is-black .subtitle a:not(.button), + .hero.is-black .subtitle strong { + color: white; } + @media screen and (max-width: 1055px) { + .hero.is-black .navbar-menu { + background-color: #0a0a0a; } } + .hero.is-black .navbar-item, + .hero.is-black .navbar-link { + color: rgba(255, 255, 255, 0.7); } + .hero.is-black a.navbar-item:hover, .hero.is-black a.navbar-item.is-active, + .hero.is-black .navbar-link:hover, + .hero.is-black .navbar-link.is-active { + background-color: black; + color: white; } + .hero.is-black .tabs a { + color: white; + opacity: 0.9; } + .hero.is-black .tabs a:hover { + opacity: 1; } + .hero.is-black .tabs li.is-active a { + opacity: 1; } + .hero.is-black .tabs.is-boxed a, .hero.is-black .tabs.is-toggle a { + color: white; } + .hero.is-black .tabs.is-boxed a:hover, .hero.is-black .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-black .tabs.is-boxed li.is-active a, .hero.is-black .tabs.is-boxed li.is-active a:hover, .hero.is-black .tabs.is-toggle li.is-active a, .hero.is-black .tabs.is-toggle li.is-active a:hover { + background-color: white; + border-color: white; + color: #0a0a0a; } + .hero.is-black.is-bold { + background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } + @media screen and (max-width: 768px) { + .hero.is-black.is-bold .navbar-menu { + background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } } + .hero.is-light { + background-color: whitesmoke; + color: #363636; } + .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-light strong { + color: inherit; } + .hero.is-light .title { + color: #363636; } + .hero.is-light .subtitle { + color: rgba(54, 54, 54, 0.9); } + .hero.is-light .subtitle a:not(.button), + .hero.is-light .subtitle strong { + color: #363636; } + @media screen and (max-width: 1055px) { + .hero.is-light .navbar-menu { + background-color: whitesmoke; } } + .hero.is-light .navbar-item, + .hero.is-light .navbar-link { + color: rgba(54, 54, 54, 0.7); } + .hero.is-light a.navbar-item:hover, .hero.is-light a.navbar-item.is-active, + .hero.is-light .navbar-link:hover, + .hero.is-light .navbar-link.is-active { + background-color: #e8e8e8; + color: #363636; } + .hero.is-light .tabs a { + color: #363636; + opacity: 0.9; } + .hero.is-light .tabs a:hover { + opacity: 1; } + .hero.is-light .tabs li.is-active a { + opacity: 1; } + .hero.is-light .tabs.is-boxed a, .hero.is-light .tabs.is-toggle a { + color: #363636; } + .hero.is-light .tabs.is-boxed a:hover, .hero.is-light .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-light .tabs.is-boxed li.is-active a, .hero.is-light .tabs.is-boxed li.is-active a:hover, .hero.is-light .tabs.is-toggle li.is-active a, .hero.is-light .tabs.is-toggle li.is-active a:hover { + background-color: #363636; + border-color: #363636; + color: whitesmoke; } + .hero.is-light.is-bold { + background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); } + @media screen and (max-width: 768px) { + .hero.is-light.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); } } + .hero.is-dark, .content kbd.hero { + background-color: #363636; + color: whitesmoke; } + .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-dark strong, + .content kbd.hero strong { + color: inherit; } + .hero.is-dark .title, .content kbd.hero .title { + color: whitesmoke; } + .hero.is-dark .subtitle, .content kbd.hero .subtitle { + color: rgba(245, 245, 245, 0.9); } + .hero.is-dark .subtitle a:not(.button), .content kbd.hero .subtitle a:not(.button), + .hero.is-dark .subtitle strong, + .content kbd.hero .subtitle strong { + color: whitesmoke; } + @media screen and (max-width: 1055px) { + .hero.is-dark .navbar-menu, .content kbd.hero .navbar-menu { + background-color: #363636; } } + .hero.is-dark .navbar-item, .content kbd.hero .navbar-item, + .hero.is-dark .navbar-link, + .content kbd.hero .navbar-link { + color: rgba(245, 245, 245, 0.7); } + .hero.is-dark a.navbar-item:hover, .content kbd.hero a.navbar-item:hover, .hero.is-dark a.navbar-item.is-active, .content kbd.hero a.navbar-item.is-active, + .hero.is-dark .navbar-link:hover, + .content kbd.hero .navbar-link:hover, + .hero.is-dark .navbar-link.is-active, + .content kbd.hero .navbar-link.is-active { + background-color: #292929; + color: whitesmoke; } + .hero.is-dark .tabs a, .content kbd.hero .tabs a { + color: whitesmoke; + opacity: 0.9; } + .hero.is-dark .tabs a:hover, .content kbd.hero .tabs a:hover { + opacity: 1; } + .hero.is-dark .tabs li.is-active a, .content kbd.hero .tabs li.is-active a { + opacity: 1; } + .hero.is-dark .tabs.is-boxed a, .content kbd.hero .tabs.is-boxed a, .hero.is-dark .tabs.is-toggle a, .content kbd.hero .tabs.is-toggle a { + color: whitesmoke; } + .hero.is-dark .tabs.is-boxed a:hover, .content kbd.hero .tabs.is-boxed a:hover, .hero.is-dark .tabs.is-toggle a:hover, .content kbd.hero .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-dark .tabs.is-boxed li.is-active a, .content kbd.hero .tabs.is-boxed li.is-active a, .hero.is-dark .tabs.is-boxed li.is-active a:hover, .hero.is-dark .tabs.is-toggle li.is-active a, .content kbd.hero .tabs.is-toggle li.is-active a, .hero.is-dark .tabs.is-toggle li.is-active a:hover { + background-color: whitesmoke; + border-color: whitesmoke; + color: #363636; } + .hero.is-dark.is-bold, .content kbd.hero.is-bold { + background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); } + @media screen and (max-width: 768px) { + .hero.is-dark.is-bold .navbar-menu, .content kbd.hero.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); } } + .hero.is-primary, .docstring > section > a.hero.docs-sourcelink { + background-color: #4eb5de; + color: #fff; } + .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-primary strong, + .docstring > section > a.hero.docs-sourcelink strong { + color: inherit; } + .hero.is-primary .title, .docstring > section > a.hero.docs-sourcelink .title { + color: #fff; } + .hero.is-primary .subtitle, .docstring > section > a.hero.docs-sourcelink .subtitle { + color: rgba(255, 255, 255, 0.9); } + .hero.is-primary .subtitle a:not(.button), .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button), + .hero.is-primary .subtitle strong, + .docstring > section > a.hero.docs-sourcelink .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + .hero.is-primary .navbar-menu, .docstring > section > a.hero.docs-sourcelink .navbar-menu { + background-color: #4eb5de; } } + .hero.is-primary .navbar-item, .docstring > section > a.hero.docs-sourcelink .navbar-item, + .hero.is-primary .navbar-link, + .docstring > section > a.hero.docs-sourcelink .navbar-link { + color: rgba(255, 255, 255, 0.7); } + .hero.is-primary a.navbar-item:hover, .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, .hero.is-primary a.navbar-item.is-active, .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active, + .hero.is-primary .navbar-link:hover, + .docstring > section > a.hero.docs-sourcelink .navbar-link:hover, + .hero.is-primary .navbar-link.is-active, + .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active { + background-color: #39acda; + color: #fff; } + .hero.is-primary .tabs a, .docstring > section > a.hero.docs-sourcelink .tabs a { + color: #fff; + opacity: 0.9; } + .hero.is-primary .tabs a:hover, .docstring > section > a.hero.docs-sourcelink .tabs a:hover { + opacity: 1; } + .hero.is-primary .tabs li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a { + opacity: 1; } + .hero.is-primary .tabs.is-boxed a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, .hero.is-primary .tabs.is-toggle a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a { + color: #fff; } + .hero.is-primary .tabs.is-boxed a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, .hero.is-primary .tabs.is-toggle a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-primary .tabs.is-boxed li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, .hero.is-primary .tabs.is-boxed li.is-active a:hover, .hero.is-primary .tabs.is-toggle li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, .hero.is-primary .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #4eb5de; } + .hero.is-primary.is-bold, .docstring > section > a.hero.is-bold.docs-sourcelink { + background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); } + @media screen and (max-width: 768px) { + .hero.is-primary.is-bold .navbar-menu, .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu { + background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); } } + .hero.is-link { + background-color: #2e63b8; + color: #fff; } + .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-link strong { + color: inherit; } + .hero.is-link .title { + color: #fff; } + .hero.is-link .subtitle { + color: rgba(255, 255, 255, 0.9); } + .hero.is-link .subtitle a:not(.button), + .hero.is-link .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + .hero.is-link .navbar-menu { + background-color: #2e63b8; } } + .hero.is-link .navbar-item, + .hero.is-link .navbar-link { + color: rgba(255, 255, 255, 0.7); } + .hero.is-link a.navbar-item:hover, .hero.is-link a.navbar-item.is-active, + .hero.is-link .navbar-link:hover, + .hero.is-link .navbar-link.is-active { + background-color: #2958a4; + color: #fff; } + .hero.is-link .tabs a { + color: #fff; + opacity: 0.9; } + .hero.is-link .tabs a:hover { + opacity: 1; } + .hero.is-link .tabs li.is-active a { + opacity: 1; } + .hero.is-link .tabs.is-boxed a, .hero.is-link .tabs.is-toggle a { + color: #fff; } + .hero.is-link .tabs.is-boxed a:hover, .hero.is-link .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-link .tabs.is-boxed li.is-active a, .hero.is-link .tabs.is-boxed li.is-active a:hover, .hero.is-link .tabs.is-toggle li.is-active a, .hero.is-link .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #2e63b8; } + .hero.is-link.is-bold { + background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); } + @media screen and (max-width: 768px) { + .hero.is-link.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); } } + .hero.is-info { + background-color: #209cee; + color: #fff; } + .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-info strong { + color: inherit; } + .hero.is-info .title { + color: #fff; } + .hero.is-info .subtitle { + color: rgba(255, 255, 255, 0.9); } + .hero.is-info .subtitle a:not(.button), + .hero.is-info .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + .hero.is-info .navbar-menu { + background-color: #209cee; } } + .hero.is-info .navbar-item, + .hero.is-info .navbar-link { + color: rgba(255, 255, 255, 0.7); } + .hero.is-info a.navbar-item:hover, .hero.is-info a.navbar-item.is-active, + .hero.is-info .navbar-link:hover, + .hero.is-info .navbar-link.is-active { + background-color: #1190e3; + color: #fff; } + .hero.is-info .tabs a { + color: #fff; + opacity: 0.9; } + .hero.is-info .tabs a:hover { + opacity: 1; } + .hero.is-info .tabs li.is-active a { + opacity: 1; } + .hero.is-info .tabs.is-boxed a, .hero.is-info .tabs.is-toggle a { + color: #fff; } + .hero.is-info .tabs.is-boxed a:hover, .hero.is-info .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-info .tabs.is-boxed li.is-active a, .hero.is-info .tabs.is-boxed li.is-active a:hover, .hero.is-info .tabs.is-toggle li.is-active a, .hero.is-info .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #209cee; } + .hero.is-info.is-bold { + background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); } + @media screen and (max-width: 768px) { + .hero.is-info.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); } } + .hero.is-success { + background-color: #22c35b; + color: #fff; } + .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-success strong { + color: inherit; } + .hero.is-success .title { + color: #fff; } + .hero.is-success .subtitle { + color: rgba(255, 255, 255, 0.9); } + .hero.is-success .subtitle a:not(.button), + .hero.is-success .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + .hero.is-success .navbar-menu { + background-color: #22c35b; } } + .hero.is-success .navbar-item, + .hero.is-success .navbar-link { + color: rgba(255, 255, 255, 0.7); } + .hero.is-success a.navbar-item:hover, .hero.is-success a.navbar-item.is-active, + .hero.is-success .navbar-link:hover, + .hero.is-success .navbar-link.is-active { + background-color: #1ead51; + color: #fff; } + .hero.is-success .tabs a { + color: #fff; + opacity: 0.9; } + .hero.is-success .tabs a:hover { + opacity: 1; } + .hero.is-success .tabs li.is-active a { + opacity: 1; } + .hero.is-success .tabs.is-boxed a, .hero.is-success .tabs.is-toggle a { + color: #fff; } + .hero.is-success .tabs.is-boxed a:hover, .hero.is-success .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-success .tabs.is-boxed li.is-active a, .hero.is-success .tabs.is-boxed li.is-active a:hover, .hero.is-success .tabs.is-toggle li.is-active a, .hero.is-success .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #22c35b; } + .hero.is-success.is-bold { + background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); } + @media screen and (max-width: 768px) { + .hero.is-success.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); } } + .hero.is-warning { + background-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } + .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-warning strong { + color: inherit; } + .hero.is-warning .title { + color: rgba(0, 0, 0, 0.7); } + .hero.is-warning .subtitle { + color: rgba(0, 0, 0, 0.9); } + .hero.is-warning .subtitle a:not(.button), + .hero.is-warning .subtitle strong { + color: rgba(0, 0, 0, 0.7); } + @media screen and (max-width: 1055px) { + .hero.is-warning .navbar-menu { + background-color: #ffdd57; } } + .hero.is-warning .navbar-item, + .hero.is-warning .navbar-link { + color: rgba(0, 0, 0, 0.7); } + .hero.is-warning a.navbar-item:hover, .hero.is-warning a.navbar-item.is-active, + .hero.is-warning .navbar-link:hover, + .hero.is-warning .navbar-link.is-active { + background-color: #ffd83e; + color: rgba(0, 0, 0, 0.7); } + .hero.is-warning .tabs a { + color: rgba(0, 0, 0, 0.7); + opacity: 0.9; } + .hero.is-warning .tabs a:hover { + opacity: 1; } + .hero.is-warning .tabs li.is-active a { + opacity: 1; } + .hero.is-warning .tabs.is-boxed a, .hero.is-warning .tabs.is-toggle a { + color: rgba(0, 0, 0, 0.7); } + .hero.is-warning .tabs.is-boxed a:hover, .hero.is-warning .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-warning .tabs.is-boxed li.is-active a, .hero.is-warning .tabs.is-boxed li.is-active a:hover, .hero.is-warning .tabs.is-toggle li.is-active a, .hero.is-warning .tabs.is-toggle li.is-active a:hover { + background-color: rgba(0, 0, 0, 0.7); + border-color: rgba(0, 0, 0, 0.7); + color: #ffdd57; } + .hero.is-warning.is-bold { + background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); } + @media screen and (max-width: 768px) { + .hero.is-warning.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); } } + .hero.is-danger { + background-color: #da0b00; + color: #fff; } + .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-danger strong { + color: inherit; } + .hero.is-danger .title { + color: #fff; } + .hero.is-danger .subtitle { + color: rgba(255, 255, 255, 0.9); } + .hero.is-danger .subtitle a:not(.button), + .hero.is-danger .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + .hero.is-danger .navbar-menu { + background-color: #da0b00; } } + .hero.is-danger .navbar-item, + .hero.is-danger .navbar-link { + color: rgba(255, 255, 255, 0.7); } + .hero.is-danger a.navbar-item:hover, .hero.is-danger a.navbar-item.is-active, + .hero.is-danger .navbar-link:hover, + .hero.is-danger .navbar-link.is-active { + background-color: #c10a00; + color: #fff; } + .hero.is-danger .tabs a { + color: #fff; + opacity: 0.9; } + .hero.is-danger .tabs a:hover { + opacity: 1; } + .hero.is-danger .tabs li.is-active a { + opacity: 1; } + .hero.is-danger .tabs.is-boxed a, .hero.is-danger .tabs.is-toggle a { + color: #fff; } + .hero.is-danger .tabs.is-boxed a:hover, .hero.is-danger .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-danger .tabs.is-boxed li.is-active a, .hero.is-danger .tabs.is-boxed li.is-active a:hover, .hero.is-danger .tabs.is-toggle li.is-active a, .hero.is-danger .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #da0b00; } + .hero.is-danger.is-bold { + background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); } + @media screen and (max-width: 768px) { + .hero.is-danger.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); } } + .hero.is-small .hero-body, #documenter .docs-sidebar form.docs-search > input.hero .hero-body { + padding-bottom: 1.5rem; + padding-top: 1.5rem; } + @media screen and (min-width: 769px), print { + .hero.is-medium .hero-body { + padding-bottom: 9rem; + padding-top: 9rem; } } + @media screen and (min-width: 769px), print { + .hero.is-large .hero-body { + padding-bottom: 18rem; + padding-top: 18rem; } } + .hero.is-halfheight .hero-body, .hero.is-fullheight .hero-body, .hero.is-fullheight-with-navbar .hero-body { + align-items: center; + display: flex; } + .hero.is-halfheight .hero-body > .container, .hero.is-fullheight .hero-body > .container, .hero.is-fullheight-with-navbar .hero-body > .container { + flex-grow: 1; + flex-shrink: 1; } + .hero.is-halfheight { + min-height: 50vh; } + .hero.is-fullheight { + min-height: 100vh; } + +.hero-video { + overflow: hidden; } + .hero-video video { + left: 50%; + min-height: 100%; + min-width: 100%; + position: absolute; + top: 50%; + transform: translate3d(-50%, -50%, 0); } + .hero-video.is-transparent { + opacity: 0.3; } + @media screen and (max-width: 768px) { + .hero-video { + display: none; } } +.hero-buttons { + margin-top: 1.5rem; } + @media screen and (max-width: 768px) { + .hero-buttons .button { + display: flex; } + .hero-buttons .button:not(:last-child) { + margin-bottom: 0.75rem; } } + @media screen and (min-width: 769px), print { + .hero-buttons { + display: flex; + justify-content: center; } + .hero-buttons .button:not(:last-child) { + margin-right: 1.5rem; } } +.hero-head, +.hero-foot { + flex-grow: 0; + flex-shrink: 0; } + +.hero-body { + flex-grow: 1; + flex-shrink: 0; + padding: 3rem 1.5rem; } + +.section { + padding: 3rem 1.5rem; } + @media screen and (min-width: 1056px) { + .section.is-medium { + padding: 9rem 1.5rem; } + .section.is-large { + padding: 18rem 1.5rem; } } +.footer { + background-color: #fafafa; + padding: 3rem 1.5rem 6rem; } + +h1 .docs-heading-anchor, h1 .docs-heading-anchor:hover, h1 .docs-heading-anchor:visited, h2 .docs-heading-anchor, h2 .docs-heading-anchor:hover, h2 .docs-heading-anchor:visited, h3 .docs-heading-anchor, h3 .docs-heading-anchor:hover, h3 .docs-heading-anchor:visited, h4 .docs-heading-anchor, h4 .docs-heading-anchor:hover, h4 .docs-heading-anchor:visited, h5 .docs-heading-anchor, h5 .docs-heading-anchor:hover, h5 .docs-heading-anchor:visited, h6 .docs-heading-anchor, h6 .docs-heading-anchor:hover, h6 .docs-heading-anchor:visited { + color: #222222; } + +h1 .docs-heading-anchor-permalink, h2 .docs-heading-anchor-permalink, h3 .docs-heading-anchor-permalink, h4 .docs-heading-anchor-permalink, h5 .docs-heading-anchor-permalink, h6 .docs-heading-anchor-permalink { + visibility: hidden; + vertical-align: middle; + margin-left: 0.5em; + font-size: 0.7rem; } + h1 .docs-heading-anchor-permalink::before, h2 .docs-heading-anchor-permalink::before, h3 .docs-heading-anchor-permalink::before, h4 .docs-heading-anchor-permalink::before, h5 .docs-heading-anchor-permalink::before, h6 .docs-heading-anchor-permalink::before { + font-family: "Font Awesome 5 Free"; + font-weight: 900; + content: "\f0c1"; } + +h1:hover .docs-heading-anchor-permalink, h2:hover .docs-heading-anchor-permalink, h3:hover .docs-heading-anchor-permalink, h4:hover .docs-heading-anchor-permalink, h5:hover .docs-heading-anchor-permalink, h6:hover .docs-heading-anchor-permalink { + visibility: visible; } + +.docs-dark-only { + display: none !important; } + +pre { + position: relative; + overflow: hidden; } + pre code, pre code.hljs { + padding: 0 0.75rem !important; + overflow: auto; + display: block; } + pre code:first-of-type, pre code.hljs:first-of-type { + padding-top: 0.5rem !important; } + pre code:last-of-type, pre code.hljs:last-of-type { + padding-bottom: 0.5rem !important; } + pre .copy-button { + opacity: 0.2; + transition: opacity 0.2s; + position: absolute; + right: 0em; + top: 0em; + padding: 0.5em; + width: 2.5em; + height: 2.5em; + background: transparent; + border: none; + font-family: "Font Awesome 5 Free"; + color: #222222; + cursor: pointer; + text-align: center; } + pre .copy-button:focus, pre .copy-button:hover { + opacity: 1; + background: rgba(34, 34, 34, 0.1); + color: #2e63b8; } + pre .copy-button.success { + color: #259a12; + opacity: 1; } + pre .copy-button.error { + color: #cb3c33; + opacity: 1; } + pre:hover .copy-button { + opacity: 1; } + +.admonition { + background-color: #b5b5b5; + border-style: solid; + border-width: 1px; + border-color: #363636; + border-radius: 4px; + font-size: 1rem; } + .admonition strong { + color: currentColor; } + .admonition.is-small, #documenter .docs-sidebar form.docs-search > input.admonition { + font-size: 0.75rem; } + .admonition.is-medium { + font-size: 1.25rem; } + .admonition.is-large { + font-size: 1.5rem; } + .admonition.is-default { + background-color: #b5b5b5; + border-color: #363636; } + .admonition.is-default > .admonition-header { + background-color: #363636; + color: #fff; } + .admonition.is-default > .admonition-body { + color: #fff; } + .admonition.is-info { + background-color: #def0fc; + border-color: #209cee; } + .admonition.is-info > .admonition-header { + background-color: #209cee; + color: #fff; } + .admonition.is-info > .admonition-body { + color: rgba(0, 0, 0, 0.7); } + .admonition.is-success { + background-color: #bdf4d1; + border-color: #22c35b; } + .admonition.is-success > .admonition-header { + background-color: #22c35b; + color: #fff; } + .admonition.is-success > .admonition-body { + color: rgba(0, 0, 0, 0.7); } + .admonition.is-warning { + background-color: #fff3c5; + border-color: #ffdd57; } + .admonition.is-warning > .admonition-header { + background-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } + .admonition.is-warning > .admonition-body { + color: rgba(0, 0, 0, 0.7); } + .admonition.is-danger { + background-color: #ffaba7; + border-color: #da0b00; } + .admonition.is-danger > .admonition-header { + background-color: #da0b00; + color: #fff; } + .admonition.is-danger > .admonition-body { + color: rgba(0, 0, 0, 0.7); } + .admonition.is-compat { + background-color: #bdeff5; + border-color: #1db5c9; } + .admonition.is-compat > .admonition-header { + background-color: #1db5c9; + color: #fff; } + .admonition.is-compat > .admonition-body { + color: rgba(0, 0, 0, 0.7); } + +.admonition-header { + color: #fff; + background-color: #363636; + align-items: center; + font-weight: 700; + justify-content: space-between; + line-height: 1.25; + padding: 0.5rem 0.75rem; + position: relative; } + .admonition-header:before { + font-family: "Font Awesome 5 Free"; + font-weight: 900; + margin-right: 0.75rem; + content: "\f06a"; } + +.admonition-body { + color: #222222; + padding: 0.5rem 0.75rem; } + .admonition-body pre { + background-color: whitesmoke; } + .admonition-body code { + background-color: rgba(0, 0, 0, 0.05); } + +.docstring { + margin-bottom: 1em; + background-color: transparent; + border: 1px solid #dbdbdb; + box-shadow: 2px 2px 3px rgba(10, 10, 10, 0.1); + max-width: 100%; } + .docstring > header { + display: flex; + flex-grow: 1; + align-items: stretch; + padding: 0.5rem 0.75rem; + background-color: whitesmoke; + box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1); + box-shadow: none; + border-bottom: 1px solid #dbdbdb; } + .docstring > header code { + background-color: transparent; } + .docstring > header .docstring-binding { + margin-right: 0.3em; } + .docstring > header .docstring-category { + margin-left: 0.3em; } + .docstring > section { + position: relative; + padding: 0.75rem 0.75rem; + border-bottom: 1px solid #dbdbdb; } + .docstring > section:last-child { + border-bottom: none; } + .docstring > section > a.docs-sourcelink { + transition: opacity 0.3s; + opacity: 0; + position: absolute; + right: 0.375rem; + bottom: 0.375rem; } + .docstring > section > a.docs-sourcelink:focus { + opacity: 1 !important; } + .docstring:hover > section > a.docs-sourcelink { + opacity: 0.2; } + .docstring:focus-within > section > a.docs-sourcelink { + opacity: 0.2; } + .docstring > section:hover a.docs-sourcelink { + opacity: 1; } + +.documenter-example-output { + background-color: white; } + +.outdated-warning-overlay { + position: fixed; + top: 0; + left: 0; + right: 0; + box-shadow: 0 0 10px rgba(0, 0, 0, 0.3); + z-index: 999; + background-color: #ffaba7; + color: rgba(0, 0, 0, 0.7); + border-bottom: 3px solid #da0b00; + padding: 10px 35px; + text-align: center; + font-size: 15px; } + .outdated-warning-overlay .outdated-warning-closer { + position: absolute; + top: calc(50% - 10px); + right: 18px; + cursor: pointer; + width: 12px; } + .outdated-warning-overlay a { + color: #2e63b8; } + .outdated-warning-overlay a:hover { + color: #363636; } + +.content pre { + border: 1px solid #dbdbdb; } + +.content code { + font-weight: inherit; } + +.content a code { + color: #2e63b8; } + +.content h1 code, .content h2 code, .content h3 code, .content h4 code, .content h5 code, .content h6 code { + color: #222222; } + +.content table { + display: block; + width: initial; + max-width: 100%; + overflow-x: auto; } + +.content blockquote > ul:first-child, .content blockquote > ol:first-child, .content .admonition-body > ul:first-child, .content .admonition-body > ol:first-child { + margin-top: 0; } + +pre, code { + font-variant-ligatures: no-contextual; } + +.breadcrumb a.is-disabled { + cursor: default; + pointer-events: none; } + .breadcrumb a.is-disabled, .breadcrumb a.is-disabled:hover { + color: #222222; } + +.hljs { + background: initial !important; } + +.katex .katex-mathml { + top: 0; + right: 0; } + +.katex-display, mjx-container, .MathJax_Display { + margin: 0.5em 0 !important; } + +html { + -moz-osx-font-smoothing: auto; + -webkit-font-smoothing: auto; } + +li.no-marker { + list-style: none; } + +/* This file contain the overall layout. + * + * The main container is
    that is identified by id #documenter. + */ +#documenter .docs-main > article { + overflow-wrap: break-word; } + #documenter .docs-main > article .math-container { + overflow-x: auto; + overflow-y: hidden; } + +@media screen and (min-width: 1056px) { + #documenter .docs-main { + max-width: 52rem; + margin-left: 20rem; + padding-right: 1rem; } } + +@media screen and (max-width: 1055px) { + #documenter .docs-main { + width: 100%; } + #documenter .docs-main > article { + max-width: 52rem; + margin-left: auto; + margin-right: auto; + margin-bottom: 1rem; + padding: 0 1rem; } + #documenter .docs-main > header, #documenter .docs-main > nav { + max-width: 100%; + width: 100%; + margin: 0; } } + +#documenter .docs-main header.docs-navbar { + background-color: white; + border-bottom: 1px solid #dbdbdb; + z-index: 2; + min-height: 4rem; + margin-bottom: 1rem; + display: flex; } + #documenter .docs-main header.docs-navbar .breadcrumb { + flex-grow: 1; } + #documenter .docs-main header.docs-navbar .docs-right { + display: flex; + white-space: nowrap; } + #documenter .docs-main header.docs-navbar .docs-right .docs-icon, #documenter .docs-main header.docs-navbar .docs-right .docs-label, #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button { + display: inline-block; } + #documenter .docs-main header.docs-navbar .docs-right .docs-label { + padding: 0; + margin-left: 0.3em; } + #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button { + margin: auto 0 auto 1rem; } + #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button { + font-size: 1.5rem; + margin: auto 0 auto 1rem; } + #documenter .docs-main header.docs-navbar > * { + margin: auto 0; } + @media screen and (max-width: 1055px) { + #documenter .docs-main header.docs-navbar { + position: sticky; + top: 0; + padding: 0 1rem; + /* For Headroom.js */ + transition-property: top, box-shadow; + -webkit-transition-property: top, box-shadow; + /* Safari */ + transition-duration: 0.3s; + -webkit-transition-duration: 0.3s; + /* Safari */ } + #documenter .docs-main header.docs-navbar.headroom--not-top { + box-shadow: 0.2rem 0rem 0.4rem #bbb; + transition-duration: 0.7s; + -webkit-transition-duration: 0.7s; + /* Safari */ } + #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom { + top: -4.5rem; + transition-duration: 0.7s; + -webkit-transition-duration: 0.7s; + /* Safari */ } } +#documenter .docs-main section.footnotes { + border-top: 1px solid #dbdbdb; } + #documenter .docs-main section.footnotes li .tag:first-child, #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, #documenter .docs-main section.footnotes li .content kbd:first-child, .content #documenter .docs-main section.footnotes li kbd:first-child { + margin-right: 1em; + margin-bottom: 0.4em; } + +#documenter .docs-main .docs-footer { + display: flex; + flex-wrap: wrap; + margin-left: 0; + margin-right: 0; + border-top: 1px solid #dbdbdb; + padding-top: 1rem; + padding-bottom: 1rem; } + @media screen and (max-width: 1055px) { + #documenter .docs-main .docs-footer { + padding-left: 1rem; + padding-right: 1rem; } } + #documenter .docs-main .docs-footer .docs-footer-nextpage, #documenter .docs-main .docs-footer .docs-footer-prevpage { + flex-grow: 1; } + #documenter .docs-main .docs-footer .docs-footer-nextpage { + text-align: right; } + #documenter .docs-main .docs-footer .flexbox-break { + flex-basis: 100%; + height: 0; } + #documenter .docs-main .docs-footer .footer-message { + font-size: 0.8em; + margin: 0.5em auto 0 auto; + text-align: center; } + +#documenter .docs-sidebar { + display: flex; + flex-direction: column; + color: #0a0a0a; + background-color: whitesmoke; + border-right: 1px solid #dbdbdb; + padding: 0; + flex: 0 0 18rem; + z-index: 5; + font-size: 1rem; + position: fixed; + left: -18rem; + width: 18rem; + height: 100%; + transition: left 0.3s; + /* Setting up a nicer theme style for the scrollbar */ } + #documenter .docs-sidebar.visible { + left: 0; + box-shadow: 0.4rem 0rem 0.8rem #bbb; } + @media screen and (min-width: 1056px) { + #documenter .docs-sidebar.visible { + box-shadow: none; } } + @media screen and (min-width: 1056px) { + #documenter .docs-sidebar { + left: 0; + top: 0; } } + #documenter .docs-sidebar .docs-logo { + margin-top: 1rem; + padding: 0 1rem; } + #documenter .docs-sidebar .docs-logo > img { + max-height: 6rem; + margin: auto; } + #documenter .docs-sidebar .docs-package-name { + flex-shrink: 0; + font-size: 1.5rem; + font-weight: 700; + text-align: center; + white-space: nowrap; + overflow: hidden; + padding: 0.5rem 0; } + #documenter .docs-sidebar .docs-package-name .docs-autofit { + max-width: 16.2rem; } + #documenter .docs-sidebar .docs-package-name a, #documenter .docs-sidebar .docs-package-name a:hover { + color: #0a0a0a; } + #documenter .docs-sidebar .docs-version-selector { + border-top: 1px solid #dbdbdb; + display: none; + padding: 0.5rem; } + #documenter .docs-sidebar .docs-version-selector.visible { + display: flex; } + #documenter .docs-sidebar ul.docs-menu { + flex-grow: 1; + user-select: none; + border-top: 1px solid #dbdbdb; + padding-bottom: 1.5rem; + /* Managing collapsible submenus */ } + #documenter .docs-sidebar ul.docs-menu > li > .tocitem { + font-weight: bold; } + #documenter .docs-sidebar ul.docs-menu > li li { + font-size: 0.95rem; + margin-left: 1em; + border-left: 1px solid #dbdbdb; } + #documenter .docs-sidebar ul.docs-menu input.collapse-toggle { + display: none; } + #documenter .docs-sidebar ul.docs-menu ul.collapsed { + display: none; } + #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed { + display: block; } + #documenter .docs-sidebar ul.docs-menu label.tocitem { + display: flex; } + #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label { + flex-grow: 2; } + #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron { + display: inline-block; + font-style: normal; + font-variant: normal; + text-rendering: auto; + line-height: 1; + font-size: 0.75rem; + margin-left: 1rem; + margin-top: auto; + margin-bottom: auto; } + #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before { + font-family: "Font Awesome 5 Free"; + font-weight: 900; + content: "\f054"; } + #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before { + content: "\f078"; } + #documenter .docs-sidebar ul.docs-menu .tocitem { + display: block; + padding: 0.5rem 0.5rem; } + #documenter .docs-sidebar ul.docs-menu .tocitem, #documenter .docs-sidebar ul.docs-menu .tocitem:hover { + color: #0a0a0a; + background: whitesmoke; } + #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, #documenter .docs-sidebar ul.docs-menu label.tocitem:hover { + color: #0a0a0a; + background-color: #ebebeb; } + #documenter .docs-sidebar ul.docs-menu li.is-active { + border-top: 1px solid #dbdbdb; + border-bottom: 1px solid #dbdbdb; + background-color: white; } + #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover { + background-color: white; + color: #0a0a0a; } + #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover { + background-color: #ebebeb; + color: #0a0a0a; } + #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child { + border-top: none; } + #documenter .docs-sidebar ul.docs-menu ul.internal { + margin: 0 0.5rem 0.5rem; + border-top: 1px solid #dbdbdb; } + #documenter .docs-sidebar ul.docs-menu ul.internal li { + font-size: 0.85rem; + border-left: none; + margin-left: 0; + margin-top: 0.5rem; } + #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem { + width: 100%; + padding: 0; } + #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before { + content: "⚬"; + margin-right: 0.4em; } + #documenter .docs-sidebar form.docs-search { + margin: auto; + margin-top: 0.5rem; + margin-bottom: 0.5rem; } + #documenter .docs-sidebar form.docs-search > input { + width: 14.4rem; } + @media screen and (min-width: 1056px) { + #documenter .docs-sidebar ul.docs-menu { + overflow-y: auto; + -webkit-overflow-scroll: touch; } + #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar { + width: .3rem; + background: none; } + #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb { + border-radius: 5px 0px 0px 5px; + background: #e0e0e0; } + #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover { + background: #cccccc; } } + @media screen and (max-width: 1055px) { + #documenter .docs-sidebar { + overflow-y: auto; + -webkit-overflow-scroll: touch; } + #documenter .docs-sidebar::-webkit-scrollbar { + width: .3rem; + background: none; } + #documenter .docs-sidebar::-webkit-scrollbar-thumb { + border-radius: 5px 0px 0px 5px; + background: #e0e0e0; } + #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover { + background: #cccccc; } } +#documenter .docs-main #documenter-search-info { + margin-bottom: 1rem; } + +#documenter .docs-main #documenter-search-results { + list-style-type: circle; + list-style-position: outside; } + #documenter .docs-main #documenter-search-results li { + margin-left: 2rem; } + #documenter .docs-main #documenter-search-results .docs-highlight { + background-color: yellow; } + +.ansi span.sgr1 { + font-weight: bolder; } + +.ansi span.sgr2 { + font-weight: lighter; } + +.ansi span.sgr3 { + font-style: italic; } + +.ansi span.sgr4 { + text-decoration: underline; } + +.ansi span.sgr7 { + color: white; + background-color: #222222; } + +.ansi span.sgr8 { + color: transparent; } + .ansi span.sgr8 span { + color: transparent; } + +.ansi span.sgr9 { + text-decoration: line-through; } + +.ansi span.sgr30 { + color: #242424; } + +.ansi span.sgr31 { + color: #a7201f; } + +.ansi span.sgr32 { + color: #066f00; } + +.ansi span.sgr33 { + color: #856b00; } + +.ansi span.sgr34 { + color: #2149b0; } + +.ansi span.sgr35 { + color: #7d4498; } + +.ansi span.sgr36 { + color: #007989; } + +.ansi span.sgr37 { + color: gray; } + +.ansi span.sgr40 { + background-color: #242424; } + +.ansi span.sgr41 { + background-color: #a7201f; } + +.ansi span.sgr42 { + background-color: #066f00; 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Gets put into the tag.. +function set_theme_from_local_storage() { + // Intialize the theme to null, which means default + var theme = null; + // If the browser supports the localstorage and is not disabled then try to get the + // documenter theme + if(window.localStorage != null) { + // Get the user-picked theme from localStorage. May be `null`, which means the default + // theme. + theme = window.localStorage.getItem("documenter-theme"); + } + // Check if the browser supports user color preference + var darkPreference = false; + // Check if the users preference is for dark color scheme + if(window.matchMedia('(prefers-color-scheme: dark)').matches === true) { + darkPreference = true; + } + // Initialize a few variables for the loop: + // + // - active: will contain the index of the theme that should be active. Note that there + // is no guarantee that localStorage contains sane values. If `active` stays `null` + // we either could not find the theme or it is the default (primary) theme anyway. + // Either way, we then need to stick to the primary theme. + // + // - disabled: style sheets that should be disabled (i.e. all the theme style sheets + // that are not the currently active theme) + var active = null; var disabled = []; var darkTheme = null; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. 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    Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +}; + +if (document.readyState === 'loading') { + document.addEventListener('DOMContentLoaded', maybeAddWarning); +} else { + maybeAddWarning(); +}; diff --git a/previews/PR129/generated/examples/1-mirt.ipynb b/previews/PR129/generated/examples/1-mirt.ipynb new file mode 100644 index 00000000..728e9f01 --- /dev/null +++ b/previews/PR129/generated/examples/1-mirt.ipynb @@ -0,0 +1,49 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# MIRT overview" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "The Julia package\n", + "[`MIRT.jl`](https://github.com/JeffFessler/MIRT.jl)\n", + "provides tools for performing image reconstruction\n", + "and solving related inverse problems.\n", + "\n", + "For more tools and more examples,\n", + "see\n", + "[JuliaImageRecon](https://github.com/JuliaImageRecon)" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "---\n", + "\n", + "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" + ], + "metadata": {} + } + ], + "nbformat_minor": 3, + "metadata": { + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "1.8.5" + }, + "kernelspec": { + "name": "julia-1.8", + "display_name": "Julia 1.8.5", + "language": "julia" + } + }, + "nbformat": 4 +} diff --git a/previews/PR129/generated/examples/1-mirt/index.html b/previews/PR129/generated/examples/1-mirt/index.html new file mode 100644 index 00000000..c4fa8b30 --- /dev/null +++ b/previews/PR129/generated/examples/1-mirt/index.html @@ -0,0 +1,2 @@ + +MIRT overview · MIRT.jl
    Edit on GitHub
    diff --git a/previews/PR129/generated/examples/2-nufft.ipynb b/previews/PR129/generated/examples/2-nufft.ipynb new file mode 100644 index 00000000..4c4a0160 --- /dev/null +++ b/previews/PR129/generated/examples/2-nufft.ipynb @@ -0,0 +1,253 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# NUFFT\n", + "\n", + "Examples illustrating the `nufft` methods\n", + "in the Julia package\n", + "[`MIRT`](https://github.com/JeffFessler/MIRT.jl).\n", + "\n", + "The `nufft` functions in this package\n", + "are wrappers around\n", + "[NFFT.jl](https://github.com/JuliaMath/NFFT.jl).\n", + "\n", + "The plots on this page\n", + "are simply sanity checks\n", + "about of the approximation error\n", + "for that package\n", + "and they help verify the correctness\n", + "of the wrapper." + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "### Setup" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "Packages needed here." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "using Plots; default(markerstrokecolor = :auto, label=\"\")\n", + "using MIRTjim: prompt\n", + "using MIRT: nufft_init, nufft_errors, dtft\n", + "using InteractiveUtils: versioninfo" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "The following line is helpful when running this file as a script;\n", + "this way it will prompt user to hit a key after each figure is displayed." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "isinteractive() && prompt(:prompt);" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "## 1D example\n", + "\n", + "This code illustrates how to call the NUFFT." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "Ω = range(-1,1,301) * π # digital frequencies (radians/sample)\n", + "N = 16 # # of samples\n", + "(nufft, nufft_adjoint, Anufft) = nufft_init(Ω, N)\n", + "x = randn(ComplexF32, N) # random 1D signal\n", + "y1 = nufft(x) # one way to compute NUFFT\n", + "y2 = Anufft * x # another way to compute NUFFT\n", + "@assert y1 == y2\n", + "yd = dtft(Ω, x) # exact (slow) nonuniform discrete Fourier transform\n", + "maximum(abs, yd - y1) # worst error for this 1D signal" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "This plot shows that the NUFFT is very close to the exact nonuniform DFT." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "xticks = ([-π,0,π], [\"-π\", \"0\", \"π\"]); xlims = (-π,π); xlabel=\"Ω\"\n", + "p1 = plot(ylabel=\"Real part\"; xlabel, xlims, xticks)\n", + "plot!(Ω, real(y1), label=\"real(NUFFT)\", line=:dash)\n", + "plot!(Ω, real(yd), label=\"real(DTFT)\", line=:dot)\n", + "p2 = plot(ylabel=\"Imag part\"; xlabel, xlims, xticks)\n", + "plot!(Ω, imag(y1), label=\"imag(NUFFT)\", line=:dash)\n", + "plot!(Ω, imag(yd), label=\"imag(NUFFT)\", line=:dot)\n", + "p3 = plot(Ω, real(yd - y1), label=\"real(Error)\"; xlabel, xlims, xticks)\n", + "p4 = plot(Ω, imag(yd - y1), label=\"imag(Error)\"; xlabel, xlims, xticks)\n", + "plot(p1, p2, p3, p4)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "## Plot worst-case errors vs $N$\n", + "\n", + "Plot worst-case error\n", + "over all frequencies $Ω$ between $0$ and $2π/N$\n", + "for various $N$.\n", + "\n", + "Even for $N=512$\n", + "the error is below `4e-6`." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "Nlist = 2 .^ (4:9)\n", + "Nlist = [Nlist..., 191, 385] # test odd N values\n", + "errfunn = N -> maximum(nufft_errors( ; N)[2])\n", + "elist = errfunn.(Nlist)\n", + "pn = scatter(Nlist, elist,\n", + " xtick=Nlist, color=:red, xlabel=\"N\", ylabel=\"error\", yaxis=:log10)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "## Plot error vs NFFT `m`.\n", + "\n", + "For the default `m = 4`\n", + "the worst-case error is below `4e-6`." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "mlist = 3:7\n", + "errfunm = nfft_m -> maximum(nufft_errors( ; nfft_m)[2])\n", + "worst_m = errfunm.(mlist)\n", + "pm = scatter(mlist, worst_m,\n", + " xlabel=\"m\", ylabel=\"error\", color=:magenta, yaxis=:log10)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "## Plot error vs NFFT `sigma`.\n", + "For the default `σ = 4`\n", + "the worst-case error is below `4e-6`." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "slist = [1.5; 2:6] # σ\n", + "errfuns = nfft_sigma -> maximum(nufft_errors( ; nfft_sigma)[2])\n", + "worst_s = errfuns.(slist)\n", + "ps = scatter(slist, worst_s,\n", + " xlabel=\"σ\", ylabel=\"error\", color=:blue, yaxis=:log10)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "---\n", + "\n", + "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" + ], + "metadata": {} + } + ], + "nbformat_minor": 3, + "metadata": { + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "1.8.5" + }, + "kernelspec": { + "name": "julia-1.8", + "display_name": "Julia 1.8.5", + "language": "julia" + } + }, + "nbformat": 4 +} diff --git a/previews/PR129/generated/examples/2-nufft/index.html b/previews/PR129/generated/examples/2-nufft/index.html new file mode 100644 index 00000000..e9993afa --- /dev/null +++ b/previews/PR129/generated/examples/2-nufft/index.html @@ -0,0 +1,318 @@ + +NUFFT · MIRT.jl
    Edit on GitHub

    NUFFT

    Examples illustrating the nufft methods in the Julia package MIRT.

    The nufft functions in this package are wrappers around NFFT.jl.

    The plots on this page are simply sanity checks about of the approximation error for that package and they help verify the correctness of the wrapper.

    This page comes from a single Julia file: 2-nufft.jl.

    You can access the source code for such Julia documentation using the 'Edit on GitHub' link in the top right. You can view the corresponding notebook in nbviewer here: 2-nufft.ipynb, or open it in binder here: 2-nufft.ipynb.

    Setup

    Packages needed here.

    using Plots; default(markerstrokecolor = :auto, label="")
+using MIRTjim: prompt
+using MIRT: nufft_init, nufft_errors, dtft
+using InteractiveUtils: versioninfo

    The following line is helpful when running this file as a script; this way it will prompt user to hit a key after each figure is displayed.

    isinteractive() && prompt(:prompt);

    1D example

    This code illustrates how to call the NUFFT.

    Ω = range(-1,1,301) * π # digital frequencies (radians/sample)
+N = 16 # # of samples
+(nufft, nufft_adjoint, Anufft) = nufft_init(Ω, N)
+x = randn(ComplexF32, N) # random 1D signal
+y1 = nufft(x) # one way to compute NUFFT
+y2 = Anufft * x # another way to compute NUFFT
+@assert y1 == y2
+yd = dtft(Ω, x) # exact (slow) nonuniform discrete Fourier transform
+maximum(abs, yd - y1) # worst error for this 1D signal
    5.99513772343972e-7

    This plot shows that the NUFFT is very close to the exact nonuniform DFT.

    xticks = ([-π,0,π], ["-π", "0", "π"]); xlims = (-π,π); xlabel="Ω"
+p1 = plot(ylabel="Real part"; xlabel, xlims, xticks)
+plot!(Ω, real(y1), label="real(NUFFT)", line=:dash)
+plot!(Ω, real(yd), label="real(DTFT)", line=:dot)
+p2 = plot(ylabel="Imag part"; xlabel, xlims, xticks)
+plot!(Ω, imag(y1), label="imag(NUFFT)", line=:dash)
+plot!(Ω, imag(yd), label="imag(NUFFT)", line=:dot)
+p3 = plot(Ω, real(yd - y1), label="real(Error)"; xlabel, xlims, xticks)
+p4 = plot(Ω, imag(yd - y1), label="imag(Error)"; xlabel, xlims, xticks)
+plot(p1, p2, p3, p4)
    + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    prompt()

    Plot worst-case errors vs $N$

    Plot worst-case error over all frequencies $Ω$ between $0$ and $2π/N$ for various $N$.

    Even for $N=512$ the error is below 4e-6.

    Nlist = 2 .^ (4:9)
+Nlist = [Nlist..., 191, 385] # test odd N values
+errfunn = N -> maximum(nufft_errors( ; N)[2])
+elist = errfunn.(Nlist)
+pn = scatter(Nlist, elist,
+     xtick=Nlist, color=:red, xlabel="N", ylabel="error", yaxis=:log10)
    + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    prompt()

    Plot error vs NFFT m.

    For the default m = 4 the worst-case error is below 4e-6.

    mlist = 3:7
+errfunm = nfft_m -> maximum(nufft_errors( ; nfft_m)[2])
+worst_m = errfunm.(mlist)
+pm = scatter(mlist, worst_m,
+    xlabel="m", ylabel="error", color=:magenta, yaxis=:log10)
    + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    prompt()

    Plot error vs NFFT sigma.

    For the default σ = 4 the worst-case error is below 4e-6.

    slist = [1.5; 2:6] # σ
+errfuns = nfft_sigma -> maximum(nufft_errors( ; nfft_sigma)[2])
+worst_s = errfuns.(slist)
+ps = scatter(slist, worst_s,
+    xlabel="σ", ylabel="error", color=:blue, yaxis=:log10)
    + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    prompt()

    Reproducibility

    This page was generated with the following version of Julia:

    using InteractiveUtils: versioninfo
+io = IOBuffer(); versioninfo(io); split(String(take!(io)), '\n')
    10-element Vector{SubString{String}}:
+ "Julia Version 1.8.5"
+ "Commit 17cfb8e65ea (2023-01-08 06:45 UTC)"
+ "Platform Info:"
+ "  OS: Linux (x86_64-linux-gnu)"
+ "  CPU: 2 × Intel(R) Xeon(R) Platinum 8272CL CPU @ 2.60GHz"
+ "  WORD_SIZE: 64"
+ "  LIBM: libopenlibm"
+ "  LLVM: libLLVM-13.0.1 (ORCJIT, skylake-avx512)"
+ "  Threads: 1 on 2 virtual cores"
+ ""

    And with the following package versions

    import Pkg; Pkg.status()
    Status `~/work/MIRT.jl/MIRT.jl/docs/Project.toml`
+  [6e4b80f9] BenchmarkTools v1.3.2
+  [e30172f5] Documenter v0.27.24
+  [d3d80556] LineSearches v7.2.0
+  [98b081ad] Literate v2.14.0
+  [7035ae7a] MIRT v0.17.0 `~/work/MIRT.jl/MIRT.jl`
+  [170b2178] MIRTjim v0.22.0
+  [91a5bcdd] Plots v1.38.5
+  [b77e0a4c] InteractiveUtils
+  [9a3f8284] Random

    This page was generated using Literate.jl.

    diff --git a/previews/PR129/generated/examples/3-ls-mm.ipynb b/previews/PR129/generated/examples/3-ls-mm.ipynb new file mode 100644 index 00000000..5eb2865c --- /dev/null +++ b/previews/PR129/generated/examples/3-ls-mm.ipynb @@ -0,0 +1,633 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# Line search MM\n", + "\n", + "Examples illustrating the\n", + "line-search method\n", + "based on majorize-minimize (MM) principles\n", + "in the Julia package\n", + "[`MIRT`](https://github.com/JeffFessler/MIRT.jl).\n", + "This method is probably most useful\n", + "for algorithm developers." + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "### Setup" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "Packages needed here." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "using Plots; default(markerstrokecolor = :auto, label=\"\")\n", + "using MIRTjim: prompt\n", + "using MIRT: line_search_mm, LineSearchMMWork\n", + "using LineSearches: BackTracking, HagerZhang, MoreThuente\n", + "using LinearAlgebra: norm, dot\n", + "using Random: seed!; seed!(0)\n", + "using BenchmarkTools: @btime, @benchmark\n", + "using InteractiveUtils: versioninfo" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "The following line is helpful when running this file as a script;\n", + "this way it will prompt user to hit a key after each figure is displayed." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "isinteractive() && prompt(:prompt);" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "# Theory\n", + "\n", + "Many methods for solving inverse problems\n", + "involve optimization problems\n", + "of the form\n", + "$$\n", + "\\hat{x} = \\arg\\min_{x ∈ \\mathbb{F}^N} f(x)\n", + ",\\qquad\n", + "f(x) = \\sum_{j=1}^J f_j(B_j x)\n", + "$$\n", + "where $\\mathbb{F}$ denotes the field of real or complex numbers,\n", + "matrix $B_j$ has size $M_j × N$,\n", + "and $f_j : \\mathbb{F}^{M_j} ↦ \\mathbb{R}$.\n", + "\n", + "One could apply general-purpose optimization methods here,\n", + "like those in\n", + "[Optim.jl](https://github.com/JuliaNLSolvers/Optim.jl),\n", + "but often we can obtain faster results\n", + "by exploiting the specific\n", + "(yet still fairly general) structure,\n", + "particularly when the problem dimension $N$ is large.\n", + "\n", + "Many algorithms for solving such problems\n", + "require an inner 1D optimization problem\n", + "called a\n", + "[line search](https://en.wikipedia.org/wiki/Line_search)\n", + "of the form\n", + "$$\n", + "α_* = \\arg\\min_{α ∈ \\mathbb{R}} h(α)\n", + ",\\qquad\n", + "h(α) = f(x + α d),\n", + "$$\n", + "for some search direction $d$.\n", + "There are general purpose line search algorithms in\n", + "[LineSearches.jl](https://github.com/JuliaNLSolvers/LineSearches.jl),\n", + "but here we focus on the specific form of $f$ given above.\n", + "\n", + "For that form we see that we have the special structure\n", + "$$\n", + "h(α) = \\sum_{j=1}^J f_j(u_j + α v_j)\n", + ",\\qquad\n", + "u_j = B_j x\n", + ",\\quad\n", + "v_j = B_j d.\n", + "$$\n", + "\n", + "Here we focus further\n", + "on the case where each function $f_j(⋅)$\n", + "has a quadratic majorizer\n", + "of the form\n", + "$$\n", + "f_j(x) ≤ q_j(x,z) = f_j(z) + \\text{real}(⟨ ∇f_j(z), x - z ⟩)\n", + "+ \\frac{1}{2} (x - z)' D_j(z) (x - z),\n", + "$$\n", + "where $D_j(z)$ is a positive semidefinite matrix\n", + "that typically is diagonal.\n", + "Often it is a constant times the identity matrix,\n", + "e.g.,\n", + "a Lipschitz constant for $∇f_j$,\n", + "but often there are\n", + "sharper majorizers.\n", + "\n", + "Such quadratic majorizers\n", + "induce a quadratic majorizer\n", + "for $h(α)$ as well:\n", + "$$\n", + "h(α) ≤ q(α; α_t) =\n", + "\\sum_{j=1}^J q_j(u_j + α v_j; u_j + α_t v_j)\n", + "= h(α_t) + c_1(α_t) (α - α_t)\n", + "+ \\frac{1}{2} c_2(α_t) (α - α_t)^2\n", + "$$\n", + "where\n", + "$$\n", + "c_1(α_t) = \\sum_{j=1}^J \\text{real}(⟨ ∇f_j(u_j + α_t v_j), v_j ⟩)\n", + ",\\qquad\n", + "c_2(α_t) = \\sum_{j=1}^J v_j' D_j(u_j + α_t v_j) v_j.\n", + "$$\n", + "\n", + "The `line_search_mm` function\n", + "in this package\n", + "uses this quadratic majorizer\n", + "to update $α$\n", + "using the iteration\n", + "$$\n", + "α_{t+1}\n", + "= \\arg\\min_{α} q(α;α_t)\n", + "= α_t - c_1(α_t) / c_2(α_t).\n", + "$$\n", + "Being an MM algorithm,\n", + "it is guaranteed to decrease\n", + "$h(α)$ every update.\n", + "For an early exposition of this approach,\n", + "see\n", + "[Fessler & Booth, 1999](http://doi.org/10.1109/83.760336).\n", + "\n", + "From the above derivation,\n", + "the main ingredients needed are\n", + "functions for computing\n", + "the dot products\n", + "$⟨ ∇f_j(u_j + α_t v_j), v_j ⟩$\n", + "and\n", + "$v_j' D_j(u_j + α_t v_j) v_j$.\n", + "\n", + "The `line_search_mm` function\n", + "can construct such functions\n", + "given input gradient functions\n", + "$[∇f_1,…,∇f_J]$\n", + "and curvature functions\n", + "$[ω_1,…,ω_J]$\n", + "where\n", + "$D_j(z) = \\text{Diag}(ω_j(z))$.\n", + "\n", + "Alternatively,\n", + "the user can provide functions\n", + "for computing the dot products.\n", + "\n", + "All of this is best illustrated\n", + "by an example.\n", + "\n", + "# Smooth LASSO problem\n", + "\n", + "The usual LASSO optimization problem uses the cost function\n", + "$$\n", + "f(x) = \\frac{1}{2} \\| A x - y \\|_2^2 + β R(x)\n", + ",\\qquad\n", + "R(x) = \\| x \\|_1 = \\sum_{n=1}^N |x_n| = 1' \\text{abs.}(x).\n", + "$$\n", + "\n", + "The 1-norm is just a relaxation of the 0-norm\n", + "so here we further \"relax\" it\n", + "by considering the \"corner rounded\" version\n", + "using the Fair potential function\n", + "$$\n", + "R(x) = \\sum_{n=1}^N ψ(x_n) = 1' ψ.(x),\n", + "\\qquad\n", + "ψ(z) = δ^2 |z/δ| - \\log(1 + |z/δ|)\n", + "$$\n", + "for a small value of $δ$.\n", + "\n", + "The derivative of this potential function\n", + "is\n", + "$\\dot{ψ}(z) = z / (1 + |z / δ|)$\n", + "and Huber's curvature\n", + "$ω_{ψ}(z) = 1 / (1 + |z / δ|)$\n", + "provides a suitable majorizer.\n", + "\n", + "This smooth LASSO cost function has the general form above\n", + "with $J=2$,\n", + "$B_1 = A$,\n", + "$B_2 = I$,\n", + "$f_1(u) = \\frac{1}{2} \\| u - y \\|_2^2,$\n", + "$f_2(u) = β 1' ψ.(u),$\n", + "for which\n", + "$∇f_1(u) = u - y,$\n", + "$∇f_2(u) = β ψ.(u),$\n", + "and\n", + "$∇^2 f_1(u) = I,$\n", + "$∇^2 f_2(u) \\succeq β \\, \\text{diag}(ω_{ψ}(u)).$\n", + "\n", + "Set up an example and plot $h(α)$." + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "Fair potential, its derivative and Huber weighting function:" + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "function fair_pot()\n", + " fpot(z,δ) = δ^2 * (abs(z/δ) - log(1 + abs(z/δ)))\n", + " dpot(z,δ) = z / (1 + abs(z/δ))\n", + " wpot(z,δ) = 1 / (1 + abs(z/δ))\n", + " return fpot, dpot, wpot\n", + "end;" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Data, cost function and gradients for smooth LASSO problem:" + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "M, N = 1000, 2000\n", + "A = randn(M,N)\n", + "x0 = randn(N) .* (rand(N) .< 0.4) # sparse vector\n", + "y = A * x0 + 0.001 * randn(M)\n", + "β = 95\n", + "δ = 0.1\n", + "fpot, dpot, wpot = Base.Fix2.(fair_pot(), δ)\n", + "\n", + "f(x) = 0.5 * norm(A * x - y)^2 + β * sum(fpot, x)\n", + "∇f(x) = A' * (A * x - y) + β * dpot.(x)\n", + "x = randn(N) # random point\n", + "d = -∇f(x)/M # some search direction\n", + "h(α) = f(x + α * d)\n", + "dh(α) = d' * ∇f(x + α * d)\n", + "pa = plot(h, xlabel=\"α\", ylabel=\"h(α)\", xlims=(-1, 2))" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Apply MM-based line search: simple version.\n", + "The key inputs are the gradient and curvature functions:" + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "gradf = [\n", + " u -> u - y, # ∇f₁ for data-fit term\n", + " u -> β * dpot.(u), # ∇f₂ for regularizer\n", + "]\n", + "curvf = [\n", + " 1, # curvature for data-fit term\n", + " u -> β * wpot.(u), # Huber curvature for regularizer\n", + "]\n", + "\n", + "uu = [A * x, x] # [u₁ u₂]\n", + "vv = [A * d, d] # [v₁ v₂]\n", + "fun(state) = state.α # log this\n", + "ninner = 7\n", + "out = Vector{Any}(undef, ninner+1)\n", + "α0 = 0\n", + "αstar = line_search_mm(gradf, curvf, uu, vv; ninner, out, fun, α0)\n", + "hmin = h(αstar)\n", + "scatter!([αstar], [hmin], marker=:star, color=:red)\n", + "scatter!([α0], [h(α0)], marker=:circle, color=:green)\n", + "ps = plot(0:ninner, out, marker=:circle, xlabel=\"iteration\", ylabel=\"α\",\n", + " color = :green)\n", + "pd = plot(0:ninner, abs.(dh.(out)), marker=:diamond,\n", + " yaxis = :log, color=:red,\n", + " xlabel=\"iteration\", ylabel=\"|dh(α)|\")\n", + "pu = plot(1:ninner, log10.(max.(abs.(diff(out)), 1e-16)), marker=:square,\n", + " color=:blue, xlabel=\"iteration\", ylabel=\"log10(|α_k - α_{k-1}|)\")\n", + "plot(pa, ps, pd, pu)" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Thanks to Huber's curvatures,\n", + "the $α_t$ sequence converges very quickly.\n", + "\n", + "Now explore a fancier version\n", + "that needs less heap memory." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "work = LineSearchMMWork(uu, vv, α0) # pre-allocate\n", + "function lsmm1(gradf, curvf)\n", + " return line_search_mm(gradf, curvf, uu, vv;\n", + " ninner, out, fun, α0, work)\n", + "end\n", + "function lsmm2(dot_gradf, dot_curvf)\n", + " gradn = [() -> nothing, () -> nothing]\n", + " return line_search_mm(uu, vv, dot_gradf, dot_curvf;\n", + " ninner, out, fun, α0, work)\n", + "end;" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "The `let` statements below are a performance trick from the\n", + "[Julia manual](https://docs.julialang.org/en/v1/manual/performance-tips/#man-performance-captured-1).\n", + "Using `Iterators.map` avoids allocating arrays like `z - y`\n", + "and does not even require any work space." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "gradz = [\n", + " let y=y; z -> Iterators.map(-, z, y); end, # z - y\n", + " let β=β, dpot=dpot; z -> Iterators.map(z -> β * dpot(z), z); end, # β * dψ.(z)\n", + "]\n", + "curvz = [\n", + " 1,\n", + " let β=β, wpot=wpot; z -> Iterators.map(z -> β * wpot(z), z); end, # β * ωψ.(z)\n", + "]\n", + "\n", + "function make_grad1c()\n", + " w = similar(uu[1]) # work-space\n", + " let w=w, y=y\n", + " function grad1c(z)\n", + " @. w = z - y\n", + " return w\n", + " end\n", + " end\n", + "end\n", + "\n", + "function make_grad2c()\n", + " w = similar(uu[2]) # work-space\n", + " let w=w, β=β, dpot=dpot\n", + " function grad2c(z)\n", + " @. w = β * dpot(z)\n", + " return w\n", + " end\n", + " end\n", + "end\n", + "\n", + "function make_curv2c()\n", + " w = similar(uu[2]) # work-space\n", + " let w=w, β=β, wpot=wpot\n", + " function curv2c(z)\n", + " @. w = β * wpot(z) # β * ωψ.(z)\n", + " return w\n", + " end\n", + " end\n", + "end\n", + "\n", + "gradc = [ # capture version\n", + " make_grad1c(), # z - y\n", + " make_grad2c(), # β * dψ.(z)\n", + "]\n", + "curvc = [\n", + " 1,\n", + " make_curv2c(), # β * ωψ.(z)\n", + "]\n", + "\n", + "sum_map(f::Function, args...) = sum(Iterators.map(f, args...))\n", + "dot_gradz = [\n", + " let y=y; (v,z) -> sum_map((v,z,y) -> dot(v, z - y), v, z, y); end, # v'(z - y)\n", + " let β=β, dpot=dpot; (v,z) -> β * sum_map((v,z) -> dot(v, dpot(z)), v, z); end, # β * (v'dψ.(z))\n", + "]\n", + "dot_curvz = [\n", + " (v,z) -> norm(v)^2,\n", + " let β=β, wpot=wpot; (v,z) -> β * sum_map((v,z) -> abs2(v) * wpot(z), v, z); end, # β * (abs2.(v)'ωψ.(z))\n", + "]\n", + "\n", + "\n", + "a1 = lsmm1(gradf, curvf)\n", + "a1c = lsmm1(gradc, curvc)\n", + "a2 = lsmm1(gradz, curvz)\n", + "a3 = lsmm2(dot_gradz, dot_curvz)\n", + "@assert a1 ≈ a2 ≈ a3 ≈ a1c\n", + "\n", + "b1 = @benchmark a1 = lsmm1($gradf, $curvf)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "bc = @benchmark a1c = lsmm1($gradc, $curvc)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "b2 = @benchmark a2 = lsmm1($gradz, $curvz)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "b3 = @benchmark a3 = lsmm2($dot_gradz, $dot_curvz)" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Timing results on my Mac:\n", + "- 95 μs\n", + "- 65 μs # 1c after using `make_`\n", + "- 80 μs\n", + "- 69 μs (and lowest memory)\n", + "\n", + "The versions using `gradc` and `dot_gradz`\n", + "with their \"properly captured\" variables\n", + "are the fastest.\n", + "But all the versions here are pretty similar\n", + "so even using the simplest version\n", + "seems likely to be fine." + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "## Compare with LineSearches.jl\n", + "\n", + "Was all this specialized effort useful?\n", + "Let's compare to the general line search methods in\n", + "[LineSearches.jl](https://github.com/JuliaNLSolvers/LineSearches.jl).\n", + "\n", + "It seems that some of those methods do not allow $α₀ = 0$\n", + "so we use 1.0 instead.\n", + "We use the default arguments for all the solvers,\n", + "which means some of them might terminate\n", + "before `ninner` iterations,\n", + "giving them a potential speed advantage." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "a0 = 1.0 # α0\n", + "hdh(α) = h(α), dh(α)\n", + "h0 = h(0)\n", + "dh0 = dh(0);\n", + "function ls_ls(linesearch)\n", + " a1, fx = linesearch(h, dh, hdh, a0, h0, dh0)\n", + " return a1\n", + "end;\n", + "\n", + "solvers = [\n", + " BackTracking( ; iterations = ninner),\n", + " HagerZhang( ; linesearchmax = ninner),\n", + " MoreThuente( ; maxfev = ninner),\n", + "]\n", + "for ls in solvers # check that they work properly\n", + " als = ls_ls(ls)\n", + " @assert isapprox(als, αstar; atol=1e-3)\n", + "end;" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "bbt = @benchmark ls_ls($(solvers[1]))" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "bhz = @benchmark ls_ls($(solvers[2]))" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "bmt = @benchmark ls_ls($(solvers[3]))" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "On my Mac the timings are all much longer\n", + "compared to `line_search_mm`:\n", + "- 840 μs `BackTracking`\n", + "- 2.6 ms `HagerZhang`\n", + "- 3.9 ms `MoreThuente`\n", + "\n", + "This comparison illustrates\n", + "the benefit of the \"special purpose\" line search.\n", + "\n", + "\n", + "The fastest version seems to be `BackTracking`,\n", + "so plot its iterates:" + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "alpha_bt = zeros(ninner + 1)\n", + "alpha_bt[1] = a0\n", + "for iter in 1:ninner\n", + " tmp = BackTracking( ; iterations = iter)\n", + " alpha_bt[iter+1] = ls_ls(tmp)\n", + "end\n", + "plot(0:ninner, alpha_bt, marker=:square, color=:blue,\n", + " xlabel=\"Iteration\", ylabel=\"BackTracking α\")\n", + "plot!([0, ninner], [1,1] * αstar, color=:red)" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Unexpectedly,\n", + "`BackTracking` seems to terminate at the first iteration.\n", + "But even just that single iteration is slower than 7 iterations\n", + "of `line_search_mm`." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "---\n", + "\n", + "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" + ], + "metadata": {} + } + ], + "nbformat_minor": 3, + "metadata": { + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "1.8.5" + }, + "kernelspec": { + "name": "julia-1.8", + "display_name": "Julia 1.8.5", + "language": "julia" + } + }, + "nbformat": 4 +} diff --git a/previews/PR129/generated/examples/3-ls-mm/index.html b/previews/PR129/generated/examples/3-ls-mm/index.html new file mode 100644 index 00000000..cc2f5f46 --- /dev/null +++ b/previews/PR129/generated/examples/3-ls-mm/index.html @@ -0,0 +1,494 @@ + +Line search MM · MIRT.jl
    Edit on GitHub

    Line search MM

    Examples illustrating the line-search method based on majorize-minimize (MM) principles in the Julia package MIRT. This method is probably most useful for algorithm developers.

    This page comes from a single Julia file: 3-ls-mm.jl.

    You can access the source code for such Julia documentation using the 'Edit on GitHub' link in the top right. You can view the corresponding notebook in nbviewer here: 3-ls-mm.ipynb, or open it in binder here: 3-ls-mm.ipynb.

    Setup

    Packages needed here.

    using Plots; default(markerstrokecolor = :auto, label="")
+using MIRTjim: prompt
+using MIRT: line_search_mm, LineSearchMMWork
+using LineSearches: BackTracking, HagerZhang, MoreThuente
+using LinearAlgebra: norm, dot
+using Random: seed!; seed!(0)
+using BenchmarkTools: @btime, @benchmark
+using InteractiveUtils: versioninfo

    The following line is helpful when running this file as a script; this way it will prompt user to hit a key after each figure is displayed.

    isinteractive() && prompt(:prompt);

    Theory

    Many methods for solving inverse problems involve optimization problems of the form

    \[\hat{x} = \arg\min_{x ∈ \mathbb{F}^N} f(x) +,\qquad +f(x) = \sum_{j=1}^J f_j(B_j x)\]

    where $\mathbb{F}$ denotes the field of real or complex numbers, matrix $B_j$ has size $M_j × N$, and $f_j : \mathbb{F}^{M_j} ↦ \mathbb{R}$.

    One could apply general-purpose optimization methods here, like those in Optim.jl, but often we can obtain faster results by exploiting the specific (yet still fairly general) structure, particularly when the problem dimension $N$ is large.

    Many algorithms for solving such problems require an inner 1D optimization problem called a line search of the form

    \[α_* = \arg\min_{α ∈ \mathbb{R}} h(α) +,\qquad +h(α) = f(x + α d),\]

    for some search direction $d$. There are general purpose line search algorithms in LineSearches.jl, but here we focus on the specific form of $f$ given above.

    For that form we see that we have the special structure

    \[h(α) = \sum_{j=1}^J f_j(u_j + α v_j) +,\qquad +u_j = B_j x +,\quad +v_j = B_j d.\]

    Here we focus further on the case where each function $f_j(⋅)$ has a quadratic majorizer of the form

    \[f_j(x) ≤ q_j(x,z) = f_j(z) + \text{real}(⟨ ∇f_j(z), x - z ⟩) ++ \frac{1}{2} (x - z)' D_j(z) (x - z),\]

    where $D_j(z)$ is a positive semidefinite matrix that typically is diagonal. Often it is a constant times the identity matrix, e.g., a Lipschitz constant for $∇f_j$, but often there are sharper majorizers.

    Such quadratic majorizers induce a quadratic majorizer for $h(α)$ as well:

    \[h(α) ≤ q(α; α_t) = +\sum_{j=1}^J q_j(u_j + α v_j; u_j + α_t v_j) += h(α_t) + c_1(α_t) (α - α_t) ++ \frac{1}{2} c_2(α_t) (α - α_t)^2\]

    where

    \[c_1(α_t) = \sum_{j=1}^J \text{real}(⟨ ∇f_j(u_j + α_t v_j), v_j ⟩) +,\qquad +c_2(α_t) = \sum_{j=1}^J v_j' D_j(u_j + α_t v_j) v_j.\]

    The line_search_mm function in this package uses this quadratic majorizer to update $α$ using the iteration

    \[α_{t+1} += \arg\min_{α} q(α;α_t) += α_t - c_1(α_t) / c_2(α_t).\]

    Being an MM algorithm, it is guaranteed to decrease $h(α)$ every update. For an early exposition of this approach, see Fessler & Booth, 1999.

    From the above derivation, the main ingredients needed are functions for computing the dot products $⟨ ∇f_j(u_j + α_t v_j), v_j ⟩$ and $v_j' D_j(u_j + α_t v_j) v_j$.

    The line_search_mm function can construct such functions given input gradient functions $[∇f_1,…,∇f_J]$ and curvature functions $[ω_1,…,ω_J]$ where $D_j(z) = \text{Diag}(ω_j(z))$.

    Alternatively, the user can provide functions for computing the dot products.

    All of this is best illustrated by an example.

    Smooth LASSO problem

    The usual LASSO optimization problem uses the cost function

    \[f(x) = \frac{1}{2} \| A x - y \|_2^2 + β R(x) +,\qquad +R(x) = \| x \|_1 = \sum_{n=1}^N |x_n| = 1' \text{abs.}(x).\]

    The 1-norm is just a relaxation of the 0-norm so here we further "relax" it by considering the "corner rounded" version using the Fair potential function

    \[R(x) = \sum_{n=1}^N ψ(x_n) = 1' ψ.(x), +\qquad +ψ(z) = δ^2 |z/δ| - \log(1 + |z/δ|)\]

    for a small value of $δ$.

    The derivative of this potential function is $\dot{ψ}(z) = z / (1 + |z / δ|)$ and Huber's curvature $ω_{ψ}(z) = 1 / (1 + |z / δ|)$ provides a suitable majorizer.

    This smooth LASSO cost function has the general form above with $J=2$, $B_1 = A$, $B_2 = I$, $f_1(u) = \frac{1}{2} \| u - y \|_2^2,$ $f_2(u) = β 1' ψ.(u),$ for which $∇f_1(u) = u - y,$ $∇f_2(u) = β ψ.(u),$ and $∇^2 f_1(u) = I,$ $∇^2 f_2(u) \succeq β \, \text{diag}(ω_{ψ}(u)).$

    Set up an example and plot $h(α)$.

    Fair potential, its derivative and Huber weighting function:

    function fair_pot()
+    fpot(z,δ) = δ^2 * (abs(z/δ) - log(1 + abs(z/δ)))
+    dpot(z,δ) = z / (1 + abs(z/δ))
+    wpot(z,δ) = 1 / (1 + abs(z/δ))
+    return fpot, dpot, wpot
+end;

    Data, cost function and gradients for smooth LASSO problem:

    M, N = 1000, 2000
+A = randn(M,N)
+x0 = randn(N) .* (rand(N) .< 0.4) # sparse vector
+y = A * x0 + 0.001 * randn(M)
+β = 95
+δ = 0.1
+fpot, dpot, wpot = Base.Fix2.(fair_pot(), δ)
+
+f(x) = 0.5 * norm(A * x - y)^2 + β * sum(fpot, x)
+∇f(x) = A' * (A * x - y) + β * dpot.(x)
+x = randn(N) # random point
+d = -∇f(x)/M # some search direction
+h(α) = f(x + α * d)
+dh(α) = d' * ∇f(x + α * d)
+pa = plot(h, xlabel="α", ylabel="h(α)", xlims=(-1, 2))
    + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

    Apply MM-based line search: simple version. The key inputs are the gradient and curvature functions:

    gradf = [
+    u -> u - y, # ∇f₁ for data-fit term
+    u -> β * dpot.(u), # ∇f₂ for regularizer
+]
+curvf = [
+    1, # curvature for data-fit term
+    u -> β * wpot.(u), # Huber curvature for regularizer
+]
+
+uu = [A * x, x] # [u₁ u₂]
+vv = [A * d, d] # [v₁ v₂]
+fun(state) = state.α # log this
+ninner = 7
+out = Vector{Any}(undef, ninner+1)
+α0 = 0
+αstar = line_search_mm(gradf, curvf, uu, vv; ninner, out, fun, α0)
+hmin = h(αstar)
+scatter!([αstar], [hmin], marker=:star, color=:red)
+scatter!([α0], [h(α0)], marker=:circle, color=:green)
+ps = plot(0:ninner, out, marker=:circle, xlabel="iteration", ylabel="α",
+    color = :green)
+pd = plot(0:ninner, abs.(dh.(out)), marker=:diamond,
+    yaxis = :log, color=:red,
+    xlabel="iteration", ylabel="|dh(α)|")
+pu = plot(1:ninner, log10.(max.(abs.(diff(out)), 1e-16)), marker=:square,
+    color=:blue, xlabel="iteration", ylabel="log10(|α_k - α_{k-1}|)")
+plot(pa, ps, pd, pu)
    + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

    Thanks to Huber's curvatures, the $α_t$ sequence converges very quickly.

    Now explore a fancier version that needs less heap memory.

    work = LineSearchMMWork(uu, vv, α0) # pre-allocate
+function lsmm1(gradf, curvf)
+    return line_search_mm(gradf, curvf, uu, vv;
+        ninner, out, fun, α0, work)
+end
+function lsmm2(dot_gradf, dot_curvf)
+    gradn = [() -> nothing, () -> nothing]
+    return line_search_mm(uu, vv, dot_gradf, dot_curvf;
+        ninner, out, fun, α0, work)
+end;

    The let statements below are a performance trick from the Julia manual. Using Iterators.map avoids allocating arrays like z - y and does not even require any work space.

    gradz = [
+    let y=y; z -> Iterators.map(-, z, y); end, # z - y
+    let β=β, dpot=dpot; z -> Iterators.map(z -> β * dpot(z), z); end, # β * dψ.(z)
+]
+curvz = [
+    1,
+    let β=β, wpot=wpot; z -> Iterators.map(z -> β * wpot(z), z); end, # β * ωψ.(z)
+]
+
+function make_grad1c()
+    w = similar(uu[1]) # work-space
+    let w=w, y=y
+        function grad1c(z)
+            @. w = z - y
+            return w
+        end
+    end
+end
+
+function make_grad2c()
+    w = similar(uu[2]) # work-space
+    let w=w, β=β, dpot=dpot
+        function grad2c(z)
+            @. w = β * dpot(z)
+            return w
+        end
+    end
+end
+
+function make_curv2c()
+    w = similar(uu[2]) # work-space
+    let w=w, β=β, wpot=wpot
+        function curv2c(z)
+            @. w = β * wpot(z) # β * ωψ.(z)
+            return w
+        end
+    end
+end
+
+gradc = [ # capture version
+    make_grad1c(), # z - y
+    make_grad2c(), # β * dψ.(z)
+]
+curvc = [
+    1,
+    make_curv2c(), # β * ωψ.(z)
+]
+
+sum_map(f::Function, args...) = sum(Iterators.map(f, args...))
+dot_gradz = [
+    let y=y; (v,z) -> sum_map((v,z,y) -> dot(v, z - y), v, z, y); end, # v'(z - y)
+    let β=β, dpot=dpot; (v,z) -> β * sum_map((v,z) -> dot(v, dpot(z)), v, z); end, # β * (v'dψ.(z))
+]
+dot_curvz = [
+    (v,z) -> norm(v)^2,
+    let β=β, wpot=wpot; (v,z) -> β * sum_map((v,z) -> abs2(v) * wpot(z), v, z); end, # β * (abs2.(v)'ωψ.(z))
+]
+
+
+a1 = lsmm1(gradf, curvf)
+a1c = lsmm1(gradc, curvc)
+a2 = lsmm1(gradz, curvz)
+a3 = lsmm2(dot_gradz, dot_curvz)
+@assert a1 ≈ a2 ≈ a3 ≈ a1c
+
+b1 = @benchmark a1 = lsmm1($gradf, $curvf)
    BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):  135.301 μs …   5.795 ms  ┊ GC (min … max): 0.00% … 92.10%
+ Time  (median):     148.801 μs               ┊ GC (median):    0.00%
+ Time  (mean ± σ):   167.814 μs ± 300.426 μs  ┊ GC (mean ± σ):  9.76% ±  5.29%
+
+               ▂▅▇▅█▆▄▁                                          
+  ▁▁▁▁▂▂▂▃▄▅▆▇██████████▆▄▃▃▃▂▃▂▂▂▂▂▃▂▂▂▂▂▂▂▂▁▁▁▁▁▂▁▁▁▁▁▁▁▁▁▁▁▁ ▃
+  135 μs           Histogram: frequency by time          182 μs <
+
+ Memory estimate: 502.42 KiB, allocs estimate: 245.
    bc = @benchmark a1c = lsmm1($gradc, $curvc)
    BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):  89.301 μs … 219.703 μs  ┊ GC (min … max): 0.00% … 0.00%
+ Time  (median):     90.401 μs               ┊ GC (median):    0.00%
+ Time  (mean ± σ):   91.954 μs ±   4.394 μs  ┊ GC (mean ± σ):  0.00% ± 0.00%
+
+  ▅██▇▅▄▃▄▅▅▅▃▂▁               ▂▂▁▁                            ▂
+  █████████████████▅▆▆▇▇▇▇▅▆▅▆▇████▇▇▇██▇▇▆▆▅▅▆▄▄▅▅▅▅▅▄▅▅▃▅▅▆▄ █
+  89.3 μs       Histogram: log(frequency) by time       111 μs <
+
+ Memory estimate: 6.33 KiB, allocs estimate: 188.
    b2 = @benchmark a2 = lsmm1($gradz, $curvz)
    BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):  113.701 μs … 226.602 μs  ┊ GC (min … max): 0.00% … 0.00%
+ Time  (median):     114.801 μs               ┊ GC (median):    0.00%
+ Time  (mean ± σ):   115.551 μs ±   2.340 μs  ┊ GC (mean ± σ):  0.00% ± 0.00%
+
+     █▁█ ▃                                                       
+  ▁▆▆███▇██▄▅▂▃▂▂▂▂▄▃▅▃▄▂▃▂▃▂▁▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ ▂
+  114 μs           Histogram: frequency by time          123 μs <
+
+ Memory estimate: 5.73 KiB, allocs estimate: 185.
    b3 = @benchmark a3 = lsmm2($dot_gradz, $dot_curvz)
    BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):  101.401 μs … 174.202 μs  ┊ GC (min … max): 0.00% … 0.00%
+ Time  (median):     101.901 μs               ┊ GC (median):    0.00%
+ Time  (mean ± σ):   102.590 μs ±   1.813 μs  ┊ GC (mean ± σ):  0.00% ± 0.00%
+
+   ▄▇██▇▄▃▂▁▁          ▁▅▅▄▄▃▃▁    ▁                            ▂
+  ████████████▅▁▄▃▅▆▆▇███████████▇▇██▆▇▇▇▆▆▇▆▇█▇▇█▇█▅▆▅▆▆▇▅▄▅▄▅ █
+  101 μs        Histogram: log(frequency) by time        109 μs <
+
+ Memory estimate: 1.97 KiB, allocs estimate: 103.

    Timing results on my Mac:

    • 95 μs
    • 65 μs # 1c after using make_
    • 80 μs
    • 69 μs (and lowest memory)

    The versions using gradc and dot_gradz with their "properly captured" variables are the fastest. But all the versions here are pretty similar so even using the simplest version seems likely to be fine.

    Compare with LineSearches.jl

    Was all this specialized effort useful? Let's compare to the general line search methods in LineSearches.jl.

    It seems that some of those methods do not allow $α₀ = 0$ so we use 1.0 instead. We use the default arguments for all the solvers, which means some of them might terminate before ninner iterations, giving them a potential speed advantage.

    a0 = 1.0 # α0
+hdh(α) = h(α), dh(α)
+h0 = h(0)
+dh0 = dh(0);
+function ls_ls(linesearch)
+    a1, fx = linesearch(h, dh, hdh, a0, h0, dh0)
+    return a1
+end;
+
+solvers = [
+    BackTracking( ; iterations = ninner),
+    HagerZhang( ; linesearchmax = ninner),
+    MoreThuente( ; maxfev = ninner),
+]
+for ls in solvers # check that they work properly
+    als = ls_ls(ls)
+    @assert isapprox(als, αstar; atol=1e-3)
+end;
    bbt = @benchmark ls_ls($(solvers[1]))
    BenchmarkTools.Trial: 3578 samples with 1 evaluation.
+ Range (min … max):  1.351 ms …   8.439 ms  ┊ GC (min … max): 0.00% … 72.88%
+ Time  (median):     1.375 ms               ┊ GC (median):    0.00%
+ Time  (mean ± σ):   1.391 ms ± 170.117 μs  ┊ GC (mean ± σ):  0.25% ±  1.74%
+
+    ▅█▅▆▃▃▃▂                                                   
+  ▂▆████████▇▆▄▅▅▄▄▅▅▃▃▃▃▂▂▂▂▂▂▂▂▂▂▂▂▁▁▂▂▂▂▁▁▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ ▃
+  1.35 ms         Histogram: frequency by time        1.52 ms <
+
+ Memory estimate: 95.69 KiB, allocs estimate: 61.
    bhz = @benchmark ls_ls($(solvers[2]))
    BenchmarkTools.Trial: 1215 samples with 1 evaluation.
+ Range (min … max):  3.975 ms …  10.484 ms  ┊ GC (min … max): 0.00% … 54.34%
+ Time  (median):     4.062 ms               ┊ GC (median):    0.00%
+ Time  (mean ± σ):   4.107 ms ± 275.619 μs  ┊ GC (mean ± σ):  0.23% ±  2.22%
+
+       ▃▅█▆▂▂▂                                                 
+  ▂▃▃▃▅█████████▇▅▅▆▄▅▄▅▅▃▄▄▃▄▄▅▃▃▃▃▃▃▂▃▂▃▃▂▂▃▂▂▂▃▂▂▂▁▂▁▂▂▂▂▂ ▃
+  3.97 ms         Histogram: frequency by time        4.43 ms <
+
+ Memory estimate: 316.73 KiB, allocs estimate: 69.
    bmt = @benchmark ls_ls($(solvers[3]))
    BenchmarkTools.Trial: 805 samples with 1 evaluation.
+ Range (min … max):  5.962 ms …  13.056 ms  ┊ GC (min … max): 0.00% … 43.10%
+ Time  (median):     6.132 ms               ┊ GC (median):    0.00%
+ Time  (mean ± σ):   6.201 ms ± 370.180 μs  ┊ GC (mean ± σ):  0.23% ±  2.20%
+
+        ▅▇█▇▅▅▅▄▃▂                                             
+  ▂▁▂▂▄▇██████████▇▇▆▇▅▆▄▅▄▄▆▃▅▃▄▆▃▄▄▂▃▂▃▄▃▃▂▂▂▂▂▃▂▁▂▂▂▂▃▂▂▂▂ ▄
+  5.96 ms         Histogram: frequency by time        6.72 ms <
+
+ Memory estimate: 475.30 KiB, allocs estimate: 150.

    On my Mac the timings are all much longer compared to line_search_mm:

    • 840 μs BackTracking
    • 2.6 ms HagerZhang
    • 3.9 ms MoreThuente

    This comparison illustrates the benefit of the "special purpose" line search.

    The fastest version seems to be BackTracking, so plot its iterates:

    alpha_bt = zeros(ninner + 1)
+alpha_bt[1] = a0
+for iter in 1:ninner
+    tmp = BackTracking( ; iterations = iter)
+    alpha_bt[iter+1] = ls_ls(tmp)
+end
+plot(0:ninner, alpha_bt, marker=:square, color=:blue,
+    xlabel="Iteration", ylabel="BackTracking α")
+plot!([0, ninner], [1,1] * αstar, color=:red)
    + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

    Unexpectedly, BackTracking seems to terminate at the first iteration. But even just that single iteration is slower than 7 iterations of line_search_mm.

    prompt()

    Reproducibility

    This page was generated with the following version of Julia:

    using InteractiveUtils: versioninfo
+io = IOBuffer(); versioninfo(io); split(String(take!(io)), '\n')
    10-element Vector{SubString{String}}:
+ "Julia Version 1.8.5"
+ "Commit 17cfb8e65ea (2023-01-08 06:45 UTC)"
+ "Platform Info:"
+ "  OS: Linux (x86_64-linux-gnu)"
+ "  CPU: 2 × Intel(R) Xeon(R) Platinum 8272CL CPU @ 2.60GHz"
+ "  WORD_SIZE: 64"
+ "  LIBM: libopenlibm"
+ "  LLVM: libLLVM-13.0.1 (ORCJIT, skylake-avx512)"
+ "  Threads: 1 on 2 virtual cores"
+ ""

    And with the following package versions

    import Pkg; Pkg.status()
    Status `~/work/MIRT.jl/MIRT.jl/docs/Project.toml`
+  [6e4b80f9] BenchmarkTools v1.3.2
+  [e30172f5] Documenter v0.27.24
+  [d3d80556] LineSearches v7.2.0
+  [98b081ad] Literate v2.14.0
+  [7035ae7a] MIRT v0.17.0 `~/work/MIRT.jl/MIRT.jl`
+  [170b2178] MIRTjim v0.22.0
+  [91a5bcdd] Plots v1.38.5
+  [b77e0a4c] InteractiveUtils
+  [9a3f8284] Random

    This page was generated using Literate.jl.

    diff --git a/previews/PR129/index.html b/previews/PR129/index.html new file mode 100644 index 00000000..12d15d62 --- /dev/null +++ b/previews/PR129/index.html @@ -0,0 +1,2 @@ + +Home · MIRT.jl
    Edit on GitHub

    MIRT: The Michigan Image Reconstruction Toolbox

    MIRT.jl is a collection of Julia functions for performing image reconstruction and solving related inverse problems.

    It is very much still under construction, although there are already enough tools to solve useful problems like compressed sensing MRI reconstruction. Trying the demos is a good way to get started.

    The documentation is even more still under construction.

    More complete examples are at JuliaImageRecon; see Examples there.

    diff --git a/previews/PR129/methods/index.html b/previews/PR129/methods/index.html new file mode 100644 index 00000000..5acbeda5 --- /dev/null +++ b/previews/PR129/methods/index.html @@ -0,0 +1,24 @@ + +Methods · MIRT.jl
    Edit on GitHub

    Methods list

    Methods usage

    MIRT.MIRT — Module
    MIRT is the Michigan Image Reconstruction Toolbox
    source
    MIRT.LineSearchMM — Method
    LineSearchMM(gradf, curvf, u, v; α0 ...)
+LineSearchMM(u, v, dot_gradf, dot_curvf; α0 ...)

    Construct iterator for line-search based on majorize-minimize (MM) approach for a general family of 1D cost functions of the form $h(α) = \sum_{j=1}^J f_j(u_j + α v_j)$ where each function $f_j(t)$ has a quadratic majorizer of the form

    \[q_j(t;s) = f_j(t) + \nabla f_j(s) (t - s) + 1/2 \|t - s\|^2_{C_j(s)}\]

    where $C_j(⋅)$ is diagonal matrix of curvatures. (It suffices for each $f_j$ to have a Lipschitz smooth gradient.)

    Each function $f_j : \mathcal{X}_j ↦ \mathbb{R}$ where conceptually $\mathcal{X}_j ⊆ \mathbb{R}^{M_j}$, but we allow more general domains.

    There are two outer constructors (based on the positional arguments):

    • The simple way (not type stable) provides
      • gradf vector of $J$ functions return gradients of $f_1,…,f_J$
      • curvf vector of $J$ functions z -> curv(z) that return a scalar or a vector of curvature values for each element of $z$
    • The fancier way (type stable) provides
      • dot_gradf::AbstractVector{<:Function} = make_dot_gradf.(gradf) See make_dot_gradf.
      • dot_curvf::AbstractVector{<:Function} = make_dot_curvf.(curvf) See make_dot_curvf.

    in

    • u vector of $J$ arrays $u_1,…,u_J$ (typically vectors)
    • v vector of $J$ arrays $v_1,…,v_J$ (typically vectors)

    We require axes(u_j) == axes(v_j) for all $j=1,…,J$.

    option

    • α0::Real = 0f0 initial guess for step size
    • ninner::Int = 5 # max number of inner iterations of MM line search
    • work = LineSearchMMWork(u, v, α) pre-allocated work space for $u_j+α v_j$
    source
    MIRT.LineSearchMMWork — Type
    LineSearchMMWork{Tz <: AbstractVector{<:AbstractArray}}

    Workspace for storing $z_j = u_j + α v_j$ in MM-based line search.

    If all of those $z_j$ arrays had the same eltype, then we could save memory by allocating just the longest vector needed. But for Unitful data they could have different eltypes and sizes, which would require a lot of reinterpret and reshape to handle. So we just allocate separate work arrays for each $j$.

    source
    MIRT.Afft — Method
    A = Afft(samp::AbstractArray{Bool} ; T, dims, operator, work, ...)

    Make a LinearMapAO operator object for (under-sampled) FFT, of type T, using given sampling pattern samp. Especially for compressed sensing MRI with Cartesian sampling.

    Option:

    • T::DataType = ComplexF32
    • dims = 1:D apply fft/bfft only along these dimensions
    • fft_forward::Bool = true Use false to have bfft! in forward model.
    • operator::Bool = true set to false to return a LinearMapAM
    • work::AbstractArray work space for in-place fft operations
    • remaining arguments are passed to plan_fft

    Output

    Returns a LinearMapsAA.LinearMapA[M|O] object.

    source
    MIRT.Afft — Method
    A = Afft(xdim::Dims, fdim ; T, operator, unitary, work, ...)

    Make a <:LinearMapAX operator object for the FFT of an array of size xdim, along dimensions fdim, of type T.

    In:

    • xdim::Dims{D} array size
    • fdim = 1:D apply fft/bfft only along these dimensions

    Option:

    • T::DataType = ComplexF32
    • operator::Bool = true return a LinearMapAO set to false to return a LinearMapAM
    • unitary::Bool = false set to true for unitary DFT
    • work::AbstractArray work space for in-place fft operations
    • remaining arguments are passed to plan_fft

    Output

    Returns a LinearMapsAA.LinearMapA[M|O] object.

    source
    MIRT.Anufft — Method
    Anufft(ω, N ; kwargs ...)

    Make a LinearMapAO object of size length(ω) × prod(N). See nufft_init for options.

    source
    MIRT.Aodwt — Method
    A, levels, mfun = Aodwt(dims ; level::Int=3, wt=wavelet(WT.haar))

    Create orthogonal discrete wavelet transform (ODWT) LinearMapAA

    in

    • dims::Dims tuple of dimensions

    option

    • level::Int # of levels; default 3
    • wt wavelet transform type (see Wavelets package); default Haar
    • operator::Bool=true default to LinearMapAO
    • T::DataType : Float32 by default; use ComplexF32 if needed

    out

    • A a LinearMapAX object
    • scales array of size dims showing the scale of each coefficient

    which is useful when imposing scale-dependent regularization

    • mfun convenience function for A*X when X is a Matrix or Array (not vector)

    2019-02-23 Jeff Fessler, University of Michigan

    source
    MIRT.Asense — Method
    Asense(samp, smaps; T)

    Construct a MRI encoding operator model for D-dimensional Cartesian sampling pattern samp and coil sensitivity maps smaps.

    The input smaps can either be a D+1 dimensional array of size (size(samp)..., ncoil), or a Vector of ncoil arrays of size size(samp).

    Input

    • samp::AbstractArray{<:Bool} D-dimensional sampling pattern.
    • smaps::Vector{<:AbstractArray{<:Number}} or AbstractArray{<:Number}

    Option

    • T::DataType = ComplexF32
    • dims = 1:D apply fft/bfft only along these dimensions
    • fft_forward::Bool = true Use false to have bfft! in forward model.
    • unitary::Bool = false set to true for unitary DFT
    • remaining arguments are passed to plan_fft

    Output

    Returns a LinearMapsAA.LinearMapAO object.

    source
    MIRT._show_struct — Method
    _show_struct(io::IO, ::MIME"text/plain", st::Any)

    Informative way to show fields of a struct (composite type).

    source
    MIRT.caller_name — Method
    caller_name() or caller_name(;level=4)

    Return "filename line fun():" as a string to describe where this function was called.

    Stack levels:

    • 1: #caller_name
    • 2: caller_name()
    • 3: function that invoked caller()
    • 4: the calling function we want to return

    Hence the default level is 4, but we increment it by one in case user says @show caller_name() in which case stack[3] is a macro expansion.

    source
    MIRT.diff_adj — Method
    Z = diff_adj(dx, N::Dims{D} ; dims = 1:D)

    Adjoint of finite differences of arrays along one or more dimensions. By default performs the same operations as $vec(Z) = [(I_{N_d} \otimes \cdots \otimes D_{N_1}); \dots; (D_{N_d} \otimes \cdots \otimes I_{N_1})]' * d$ where D_N denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).

    in

    • dx vector of typical length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1
    • N::Dims desired output size

    option

    • dims dimension(s) for performing adjoint finite differences; default 1:ndims(X)

    out

    • Z N_1 × ... × N_d array by default
    source
    MIRT.diff_forw — Method
    d = diff_forw(X ; dims = 1:ndims(X))

    Finite differences along one or more dimensions of an array, e.g., for anisotropic TV regularization.

    By default performs the same operations as $d = [(I_{N_d} \otimes \cdots \otimes D_{N_1}); \dots; (D_{N_d} \otimes \cdots \otimes I_{N_1})] vec(X)$ where $D_N$ denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).

    Input dimension N must exceed 1 for each dimension specified by dims.

    in

    • X N_1 × ... × N_d array (typically an N-D image).

    option

    • dims dimension(s) for performing finite differences; default 1:ndims(X)

    must have unique elements and be a nonempty subset of 1:ndims(X)

    out

    • d vector of default length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1
    source
    MIRT.diff_map — Method
    T = diff_map(N::Dims{D} ; dims = 1:D)

    in

    • N::Dims image size

    out

    • T LinearMapAA object for computing finite differences via T*x
    source
    MIRT.diffl! — Method
    diffl!(g::AbstractArray, x::AbstractArray, dims::AbstractVector{Int} ; ...)

    When x is a N-dimensional array, the ith slice of the g array (along its last dimension) is the diffl! of x along dims[i]. This is useful for total variation (TV) and other regularizers that need finite differences along multiple dimensions.

    source
    MIRT.diffl! — Method
    diffl!(g::AbstractArray, x::AbstractArray, dim::Int ; ...)

    Apply left finite difference operator to input array x, storing the result "in-place" in pre-allocated output array g. (The letter g is mnemonic for "gradient".)

    Arrays g and x must have the same size, and cannot alias. By default, the "first" elements of g are zero for dimension dim. The default is dim=1.

    Option:

    • add::Bool = false use x[i] + x[i-1] instead of x[i] - x[i-1] (useful for certain diagonal majorizers).
    • edge::Symbol = :zero set the first elements of dimension dim to 0
      • Choose edge=:circ to use circulant (aka periodic) boundary conditions.
      • Choose edge=:none to leave the first elements untouched.

    Example

    julia> x = [2, 6, 7]; g = similar(x); diffl!(g, x)
+3-element Vector{Int64}:
+ 0
+ 4
+ 1
    source
    MIRT.diffl — Method
    g = diffl(x::AbstractArray, dims::AbstractVector{Int} ; ...)

    Allocating version of diffl! for dims

    source
    MIRT.diffl — Method
    g = diffl(x::AbstractArray, dim::Int ; ...)

    Allocating version of diffl! along dim

    Example

    julia> x = [1,2] .+ [10 30 70]; g = diffl(x, 2)
+2×3 Matrix{Int64}:
+ 0  20  40
+ 0  20  40
    source
    MIRT.diffl — Method
    g = diffl(x::AbstractArray ; ...)

    Allocating version of diffl! along dim=1

    source
    MIRT.diffl_adj! — Method
    diffl_adj!(z::AbstractArray, g::AbstractArray, dims::AbstractVector{Int} ; ...)

    Adjoint of diffl! for multiple dimensions dims. Here g must have one more dimension than z.

    source
    MIRT.diffl_adj! — Method
    diffl_adj!(z, g, dim::Int ; ...)

    Adjoint of left finite difference diffl!, in-place. Arrays z and g must be same size. See diffl_adj for details.

    source
    MIRT.diffl_adj — Method
    z = diffl_adj(g::AbstractArray, dim::Int ; ...)

    Allocating version of diffl_adj! along dim.

    Example

    julia> g = ones(Int,2,3); z = diffl_adj(g, 2)
+2×3 Matrix{Int64}:
+ -1  0  1
+ -1  0  1
    source
    MIRT.diffl_adj — Method
    z = diffl_adj(g::AbstractArray ; ...)

    Allocating version of diffl_adj! along dim=1.

    Example

    julia> g = [0, 2, 5]; z = diffl_adj(g)
+3-element Vector{Int64}:
+ -2
+ -3
+  5
    source
    MIRT.diffl_adj — Method
    z = diffl_adj(g::AbstractArray, dims::AbstractVector{Int} ; ...)

    Allocating version of diffl_adj! for dims.

    source
    MIRT.diffl_map — Method
    T = diffl_map(N::Dims{D}, dims::AbstractVector{Int} ; kwargs...)
+T = diffl_map(N::Dims{D}, dim::Int ; kwargs...)

    in

    • N::Dims image size

    options: see diffl!

    • T::Type for LinearMapAA, default Float32
    • operator::Bool = true use false for LinearMapAM

    out

    • T LinearMapAA object for computing finite differences via T*x

    using diffl! and diffl_adj!

    source
    MIRT.downsample1 — Method
    y = downsample1(x, down ; warn=true)

    Downsample 1D vector by factor down.

    in

    • x [n1]
    • down::Int downsampling factor

    option

    • warn::Bool warn if noninteger multiple; default isinteractive()

    out

    • y [n1/down]
    source
    MIRT.downsample2 — Method
    y = downsample2(x, down ; warn=true, T)

    Downsample by averaging by integer factors.

    in

    • x [nx ny]
    • down can be a scalar (same factor for both dimensions) or a NTuple{2,Int}

    option

    • warn::Bool warn if noninteger multiple; default isinteractive()
    • T::DataType specify output eltype; default eltype(x[1] / down[1])

    out

    • y [nx/down ny/down]
    source
    MIRT.downsample3 — Method
    y = downsample3(x, down ; warn=true, T)

    Downsample by averaging by integer factors.

    in

    • x (nx,ny,nz)
    • down can be a scalar (same factor for all dimensions) or a NTuple{3,Int}

    option

    • warn::Bool warn if noninteger multiple; default true
    • T::DataType specify output eltype; default eltype(x[1] / down[1])

    out

    • y (nx/down,ny/down,nz/down)
    source
    MIRT.downsample_dim1 — Method
    y = downsample_dim1(x, down ; warn::Bool)

    Down-sample x by factor down along first dimension by averaging.

    in

    • x [n1 (Nd)]
    • down::Int downsampling factor

    option

    • warn::Bool warn if non-integer multiple; default isinteractive()

    out

    • y [n1÷down (Nd)]
    source
    MIRT.dtft — Method
    X = dtft(w, x ; n_shift=?)

    multi-dimensional DTFT (DSFT)

    $X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m,:] (n - n_{shift})), m=1,…,M$ where here n is a CartesianIndex

    in

    • w::AbstractMatrix{<:Real} (M,D) frequency locations ("units" radians/sample)
    • x::AbstractArray{<:Number} [(Nd)] D-dimensional signal

    option

    • n_shift::AbstractVector{<:Real} often is N/2; default zeros(D)

    out

    • X::AbstractVector{ComplexF64} (M) DTFT
    source
    MIRT.dtft — Method
    X = dtft(w, x ; n_shift=?)

    1D DTFT

    $X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m] (n - n_{shift})), m=1,…,M$

    in

    • w::AbstractVector{<:Real} (M) frequency locations ("units" radians/sample)
    • x::AbstractVector{<:Number} (N) 1D signal

    option

    • n_shift::Real often is N/2; default 0

    out

    • X::AbstractVector{ComplexF64} [M] DTFT
    source
    MIRT.dtft_adj — Method
    x = dtft_adj(w, X, N ; n_shift=?)

    adjoint for multi-dimensional DTFT (DSFT)

    $x[n] = \sum_{m=1}^M X[m] \exp(i w[m,:] (n - n_{shift})), n=0,…,N-1$ where here n is a CartesianIndex

    in

    • X::AbstractVector{ComplexF64} (M) DTFT
    • w::AbstractMatrix{<:Real} (M,D) frequency locations ("units" radians/sample)
    • N::Dims (D) dimensions of signal x

    option

    • n_shift::AbstractVector{<:Real} often is N/2; default zeros(D)
    • T::DataType default (eltype(w) == Float64) ? ComplexF64 : ComplexF32

    out

    • x::AbstractArray{<:Number} [(N)] D-dimensional signal
    source
    MIRT.dtft_adj — Method
    x = dtft_adj(w, X, N ; n_shift=?)

    adjoint for 1D DTFT

    $x[n] = \sum_{m=1}^M X[m] \exp(i w[m] (n - n_{shift})), n=0,…,N-1$

    This is the adjoint (transpose) of dtft, not an inverse DTFT.

    in

    • w::AbstractVector{<:Real} (M) frequency locations ("units" radians/sample)
    • X::AbstractVector{ComplexF64} (M) spectrum values
    • N::Int size of signal x

    option

    • n_shift::Real often is N/2; default 0
    • T::DataType output data type; default ComplexF64

    out

    • x::AbstractVector{<:Number} (N) signal
    source
    MIRT.dtft_init — Method
    d = dtft_init(w, N ; n_shift=?)

    for multi-dimensional DTFT (DSFT)

    in

    • w::AbstractMatrix{<:Real} (M,D) frequency locations ("units" radians/sample)
    • N::Dims [D] dimensions of signal x

    option

    • n_shift::AbstractVector{<:Real} often is N/2; default zeros(D)
    • T::DataType default ComplexF64 for testing NUFFT accuracy

    out

    • d::NamedTuple with fields dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO
    source
    MIRT.dtft_init — Method
    d = dtft_init(w, N ; n_shift=?)

    For 1D DTFT

    in

    • w::AbstractVector{<:Real} (M) frequency locations ("units" radians/sample)
    • N::Int size of signal x

    option

    • n_shift::Real often is N/2; default 0
    • T::DataType default ComplexF64 for testing NUFFT accuracy

    out

    • d::NamedTuple with fields dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO
    source
    MIRT.embed! — Method
    embed!(array, v, mask ; filler=0)

    embed vector v of length sum(mask) into elements of array where mask is true, setting the remaining elements to filler (default 0).

    source
    MIRT.embed — Method
    array = embed(matrix::AbstractMatrix{<:Number}, mask::AbstractArray{Bool})

    Embed each column of matrix into mask then cat along next dimension In:

    • matrix [sum(mask) L]
    • mask [(N)]

    Out:

    • array [(N) L]
    source
    MIRT.embed — Method
    array = embed(v, mask ; filler=0)

    embed vector v of length sum(mask) into elements of an array where mask is true; see embed!.

    source
    MIRT.eql_root — Method
    x = eql_root(a,b,c)

    Numerically stable method for computing the positive root of the quadratic polynomial -ax^2 - 2bx + c, a >= 0. Assumes solvable equations; will throw otherwise.

    in

    • a The negative of the x^2 term. Must be positive.
    • b Half the negative of the x term.
    • c The constant term.

    out

    • x The positive root that satisfies 0 = -ax^2 - 2bx + c.
    source
    MIRT.exp_mult — Method
    D = exp_mult(A, u, v ; warnboth)

    Memory efficient and fast implementation of D = A' * exp(-u * v^T) that is useful for B0-field-corrected MRI image reconstruction.

    in

    • A [N L] matrix
    • u [N] vector
    • v [M] vector
    • warnboth warn if both u and v are complex; default: true

    out

    • D [L M] complex vector: D = A' * exp(-u * v^T)

    D_lm = sum_n A_nl^* exp(-u_n v_m)

    source
    MIRT.exp_xform — Method
    exp_xform(x, u, v ; mode::Symbol = :matrix)

    in

    • x [N L] possibly complex vector(s)
    • u [D N] possibly complex vectors
    • v [D M] possibly complex vectors
    • mode::Symbol :matrix (default) | :element | :row | :column

    out

    • y [M L] typically complex vector

    y[m,l] = sum_n x[n,l] exp(-sum(u[:,n] .* v[:,m]))

    Iterates through subsets of the ML matrix designated by :mode (i.e. row, column, element, or just computing the entire matrix) This is the 'slow' 'exact' transform model for MRI.

    Output type will depend on input types.

    source
    MIRT.genkspace — Method
    genkspace

    Generate the proper length of k-space trajectory.

    It linearly interpolates the output of genspiral to the correct length() & takes care of the rotations for the interleaves.

    • ld is the length of the data
    • nint is the number of interleaves

    Brad Sutton; University of Michigan

    source
    MIRT.genspi — Method
    Gx, Gy, kx, ky, sx, sy, gts = genspi(...)

    This is translation of C code from scanner: exactly what is played out to gradients at 4us.

    Multi-shot spiral design uses Duyn's approximate slewrate limited design augmented with archimedian gmax limit

    in [args]

    • D = FOV; cm

    • N = matrix size()

    • Tmax = longest acquisition allowed; s

    • dts = output sample spacing; s

    • gtype = trajectory type()

    option [CVs]

    • nl = number of interleaves
    • gamp = design grad max; G/cm
    • gslew = design slew rate; mT/m/ms
    • nramp = number of rampdown points; default 0

    out

    • Gx; Gy

    time is in sec()

    • rev 0 12/26/98 original
    • rev 1 4/15/99 little better calc of ts

    Borrowed from Doug Noll; Univ. of Michigan. Modified to take more input cv's.

    source
    MIRT.getindex! — Method
    getindex!(y::AbstractVector, x::AbstractArray{T,D}, mask::AbstractArray{Bool,D})

    Equivalent to the in-place y .= x[mask] but is non-allocating.

    For non-Boolean indexing, just use @views y .= A[index], per https://discourse.julialang.org/t/efficient-non-allocating-in-place-getindex-for-bitarray/42268

    source
    MIRT.interp1 — Method
    yi = interp1(x, y, xi ; how=Gridded(Linear()), extrap=0)

    1D interpolation of y = f(x) at points xi

    In:

    • x::AbstractVector{<:Real}
    • y::AbstractVector{<:Number}

    Option:

    • how::Interpolations.InterpolationType default Gridded(Linear())
    • extrap::Any how to extrapolate, e.g., Flat(); default 0

    other options from Interpolations.jl are Line() Periodic() Reflect() Throw()

    Output is same size as input xi

    source
    MIRT.ir_dump — Method
    ir_dump(x::Any ; io::IO = stdout)
+ir_dump(io::IO, x::Any)

    Show all the fields of a structure or NamedTuple more nicely than dump() does

    source
    MIRT.ir_mri_coil_compress — Method
    (odata, σ, Vr) = ir_mri_coil_compress(idata ; ncoil)

    MRI coil compression via PCA. Given multiple MRI surface coil images (idata), use SVD/PCA to find a smaller number of virtual coil images (odata).

    In:

    • idata [(N) n_in]: noisy complex images (2D or 3D) for each coil

    Option:

    • ncoil Desired # of virtual coils (default: 1)

    Out:

    • odata [(N) ncoil]: virtual coil images
    • σ [n_in]: singular values.
    • Vr [n_in, ncoil]: compression matrix for reducing other data.

    todo: currently ignores noise correlations

    source
    MIRT.ir_mri_kspace_ga_radial — Method
    kspace = ir_mri_kspace_ga_radial(; Nro=?, Nspoke=?, ...)

    Generate k-space sampling pattern for "golden angle" radial sampling.

    option

    • Nro:Int number of samples in each readout/spoke, default 256
    • Nspoke::Int number of spokes, default 1
    • start::Real first angle in series [radians], default π/2
    • angle::Real angular spacing [radians], default GA
    • delta_ro::Real readout spacing, default 1/Nro
    • shift::Real shift due to gradient delays, default 0
      • radial sample locations are ir * delta_ro
      • where ir = [-(Nro/2 - 1):1:Nro/2] + shift

    out

    • kspace [Nro Nspoke 2] (Float32)

    kx and ky k-space locations for Nspoke*Nro samples in interval (-0.5 0.5] for default shift, delta_ro so default units are "cycles / sample"

    source
    MIRT.ir_mri_sensemap_sim — Method
    (smap,info) = ir_mri_sensemap_sim( :all ; kwargs)

    Like ir_mri_sensemap_sim but also returns info with data for all coils, mainly for testing and plotting.

    source
    MIRT.ir_mri_sensemap_sim — Method
    (smap,info) = ir_mri_sensemap_sim( ir_ic_pair ; kwargs)

    Like ir_mri_sensemap_sim but also returns info with data for specific coils where ir_ic_pair::Vector{Tuple{Int,Int}}. (Usually used internally only.)

    • info::NamedTuple geometry information for plots
    source
    MIRT.ir_mri_sensemap_sim — Method
    smap = ir_mri_sensemap_sim(...)

    Simulate 2D or 3D sensitivity maps for sensitivity-encoded MRI based on grivich:00:tmf.

    This code makes maps for multiple coils, but does not model coupling between coils, so most likely it is an approximation at best.

    option

    • dims::Dims image size; default (64, 64)
    • dx::Real pixel/voxel dimension; default: 3
    • dy::Real pixel/voxel dimension; default: dx
    • dz::Real ""
    • ncoil::Int # of coils total; default 4
    • nring::Int # of rings of coils; default 1
    • rcoil::Real coil radius; default dx * nx / 2 * 0.50
    • dz_coil ring spacing in z; default nz*dz/nring
      • (3D geometry is a cylinder)
    • coil_distance::Real distance of coil center from isocenter
      • for central ring of coils as a multiple of FOVx,
      • where FOVx=nx*dx; default 1.2
    • orbit::Real default 360 [degrees]
    • orbit_start::AbstractVector{<:Real} = fill(0, nring) [degrees]
    • scale::Symbol
      • :none (default)
      • ssos_center make SSoS of center = 1

    out

    • smap [dims ncoil] simulated sensitivity maps (complex!)

    All length parameters must have same units (e.g., mm or cm)

    source
    MIRT.ir_mri_smap1 — Method
    ir_mri_smap1()

    Based on grivich:00:tmf for a circular coil in "x-y plane" of radius "a"

    Note that coil x-y plane is not same as object x-y plane!

    Returns (i,j,k) components of $B$ vector for each (x,y,z) location.

    source
    MIRT.jinc — Method
    jinc(x)

    Return jinc(x) = J1(pi*x)/(2x), where J1 is a Bessel function of the first kind.

    Units of x are typically cycles/m.

    Return type is promote_type(typeof(x), Float32).

    source
    MIRT.line_search_mm — Method
    α = line_search_mm(args...; opt, fun, kwargs...)

    Line-search based on majorize-minimize (MM) approach. This is a wrapper around the iterator LineSearchMM. See its constructors for args and other kwargs.

    option

    • fun(state) User-defined function to be evaluated with the state initially and then after each iteration.
    • out::Union{Nothing,Vector{Any}} = nothing optional place to store result of fun for iterates 0,…,ninner: (All missing by default.) This is aVector{Any}of lengthninner+1`.

    output

    • α final iterate

    This function mutates the optional arguments out and work.

    source
    MIRT.make_dot_curvf — Method
    make_dot_curvf(curv::Function, [x, Tf::DataType; w = similar(x)])

    Make a function with arguments (v, x) that computes the dot product between abs2.(v) and curv(x) where curv(x) is a curvature function associated with a quadratic majorizer for some real-valued cost function f(x), evaluated at array x, typically for use in a line-search method.

    • For a single-argument gradient function curv(x), this returns the version equivalent to (v, x) -> dot(abs2.(v), curv(x)). This version will be allocating, unless curv has its own internal workspace due to a closure. This version expects only the argument curv.

    • For a two-argument mutating gradient function curv!(w, x), this returns a function equivalent to (v, x) -> dot(abs2.(v), curv!(w, x)) using the keyword argument w as the work array.

    • If curv is simply a real number (a Lipschitz constant), possibly with units, then this returns the function (v, x) -> curv * sum(abs2, v).

    If f(x) maps an Array x of elements with units Ux into real numbers with units Uf, then its curvature has units Uf/Ux^2. Those units are relevant to defining the work array w.

    in

    • curv::Function see above
    • x an array whose size and eltype is used to allocate w

    option

    • Tf::DataType = typeof(one(eltype(x))) Specify eltype of function f(x), defaulting to unitless.
    • w = similar(x, typeof(oneunit(Tf) / oneunit(eltype(x))^2)) work space for gradient calculation, with appropriate units (if needed).

    out

    • (v, x) -> dot(abs2.(v), curv([w,] x)) or equivalent.
    source
    MIRT.make_dot_gradf — Method
    make_dot_gradf(grad::Function, [x, Tf::DataType; w = similar(x)])

    Make a function with arguments (v, x) that computes the dot product between an array v and the gradient grad(x) of some real-valued cost function f(x), evaluated at array x, typically for use in a line-search method.

    • For a single-argument gradient function grad(x), this returns the version (v, x) -> dot(v, grad(x)). This version will be allocating, unless grad has its own internal workspace due to a closure. This version expects only the argument grad.

    • For a two-argument mutating gradient function grad!(w, x), this returns a function (v, x) -> dot(v, grad!(w, x)) using the keyword argument w as the work array.

    If f(x) maps an Array x of elements with units Ux into real numbers with units Uf, then the gradient ∇f has units Uf/Ux. Those units are relevant to defining the work array w.

    in

    • grad::Function see above
    • x an array whose size and eltype is used to allocate w
    • Tf::DataType = typeof(one(eltype(x))) Specify eltype of function f(x), defaulting to unitless.

    option

    • w = similar(x, typeof(oneunit(Tf) / oneunit(eltype(x)))) work space for gradient calculation, with appropriate units (if needed).

    out

    • (v, x) -> dot(v, grad([w,] x)) or equivalent.

    Example. Consider the cost function f(x) = sum(sin.(x)) that has gradient g(x) = cos.(x). The simple way here is make_dot_gradf(g), which will return the function (v, x) = dot(v, g(x)) === dot(v, cos.(x)). That will work fine, but the cos.(x) step will be allocating. A better way (for repeated use) is

    function g!(work, x)
+   @. work = cos(x) # mutating
+   return work
+end

    Then make_dot_gradf(g!, x) will return a function (v,x) that does not allocate (except when first generated via a closure). For this particular example, an even better approach is to directly define dot_gradf(v,x) = sum(vx -> vx[1]*cos(vx[2]), zip(v,x)), but make_dot_gradf is here for more general cases.

    source
    MIRT.map_many — Method
    y = map_many(fun::Function, x::AbstractArray{<:Any}, idim::Dims)

    Apply a function fun to leading slices of input x; cousin of mapslices

    in

    • fun::Function maps input of size idim to output of some size odim
    • x [idim ldim]

    out

    • y [odim ldim]

    Example: if fun maps array of size (1,2) to array of size (3,4,5) and if input x has size (1,2,7,8) then output y will have size (3,4,5,7,8) where y[:,:,:,i,j] = fun(x[:,:,i,j])

    source
    MIRT.mask_or — Method
    mask_or(mask)

    compress 3D mask to 2D by logical or along z direction

    source
    MIRT.max_percent_diff — Method
    max_percent_diff(s1, s2, [options])

    Compute the "maximum percent difference" between two signals: s1, s2.

    Default is to normalize by maximum(abs, s1).

    options

    • maxboth::Bool = false use max of both arguments to normalize
    • normalize::Bool = false normalize each before comparing
    source
    MIRT.mri_kspace_spiral — Method
    kspace, omega, gradxy = mri_kspace_spiral( [options] )

    Make k-space spiral trajectory based on GE 3T scanner constraints

    Option:

    • N dimention of reconstructed image
    • Nt # of time points
    • fov field of view in cm
    • dt time sampling interval out; default 5e-6 sec
    • gamp::Real design gradient amplitude max, G/cm; default 2.2
    • gslew::Int design slew rate, mT/m/ms; default 180

    Out:

    • kspace [Nt,2] kspace trajectory [kx ky] in cycles/cm, NO: cycles/FOV
    • omega [Nt,2] "" in radians
    • gradxy [Nt 2] gradient waveforms in (units?)
    source
    MIRT.mri_trajectory — Method
    kspace, omega, wi = mri_trajectory( ; ktype, N, fov, arg_wi, kwargs...)

    Generate kspace trajectory samples and density compensation functions.

    option

    • ktype::Symbol k-space trajectory type; default :radial
    • N::Dims target image size; default (32,30)
    • fov field of view in x and y (and z); default (250,250) mm
    • arg_wi options to pass to ir_mri_density_comp - not yet done
    • kwargs options for the specific trajectory

    out

    • kspace [Nk 2|3] kspace samples in units 1/fov
    • omega [Nk 2|3] trajectory samples over [-π,π)
    • wi [Nk 1] (optional) density compensation factors

    trajectory types:

    • :cartesian
    • :radial
    • :cart_y_2
    • :random
    • :half8
    • :epi_sin
    • :spiral0 :spiral1 :spiral3
    • :rosette3
    • :epi_under
    • :gads (emulate golden-angle data sharing per winkelmann:07:aor)
    source
    MIRT.mri_trajectory_gads — Method
    omega, wi = mri_trajectory_gads(N, fov ; ...)

    Emulate 2D golden angle radial sampling with data sharing

    option

    • Nro # of samples in each readout/spoke
    • shift shift along read-out due to gradient delays (stress)
    • kmax_frac fractions of maximum krad (0.5) for rings (annuli)
    • under under-sampling factor for each annulus
    source
    MIRT.mri_trajectory_radial — Method
    mri_trajectory_radial()

    option

    • na_nr default ensures proper sampling at edge of k-space
    • na angular spokes; default: na_nr * nr
    • nr radial samples per spoke
    • ir default: 0:nr

    todo: generalize to 3D using barger:02:trc

    source
    MIRT.mri_trajectory_rosette3 — Method
    mri_trajectory_rosette3(N, fov ; ...)

    3d rosette, with default parameters from bucholz:08:miw

    option

    • omax maximum omega
    • nt time samples (65.536 ms for 4 usec dt)
    • dt time sample spacing (4 usec)
    • ti time samples
    source
    MIRT.ncg — Method
    (x,out) = ncg(B, gradf, curvf, x0 ; ...)

    Nonlinear preconditioned conjugate gradient algorithm to minimize a general "inverse problem" cost function of the form $\Psi(x) = \sum_{j=1}^J f_j(B_j x)$ where each function $f_j(v)$ has a quadratic majorizer of the form

    \[q_j(v;u) = f_j(u) + \nabla f_j(u) (v - u) + 1/2 \|v - u\|^2_{C_j(u)}\]

    where $C_j(u)$ is diagonal matrix of curvatures. (It suffices for each $f_j$ to have a Lipschitz smooth gradient.)

    This CG method uses a majorize-minimize (MM) line search.

    in

    • B vector of $J$ blocks $B_1,…,B_J$
    • gradf vector of $J$ functions return gradients of $f_1,…,f_J$
    • curvf vector of $J$ functions z -> curv(z) that return a scalar or a vector of curvature values for each element of $z$
    • x0 initial guess; need length(x) == size(B[j],2) for $j=1,…,J$

    Usually x0 is a Vector but it can be an Array if each B_j is a linear operator (e.g., LinearMapAO) of suitable "dimensions".

    option

    • niter # number of outer iterations; default 50
    • ninner # number of inner iterations of MM line search; default 5
    • P # preconditioner; default I
    • betahow "beta" method for the search direction; default :dai_yuan
    • fun User-defined function to be evaluated with two arguments (x,iter).
      • It is evaluated at (x0,0) and then after each iteration.

    output

    • x final iterate
    • out [niter+1] (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))
      • (all 0 by default). This is an array of length niter+1
    source
    MIRT.ncg — Method
    (x,out) = ncg(grad, curv, x0, ...)

    Special case of ncg (nonlinear CG) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad.

    source
    MIRT.nufft_errors — Method
    w, errs = nufft_errors( ; M=401, w=?, N=513, n_shift=0, ...)

    Compute NUFFT approximation errors (for signal of length N of unit norm), for given digital frequency values w, i.e., Ω. Default w is range(0, 2π/N, M).

    source
    MIRT.nufft_init — Method
    p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=0)

    Setup 1D NUFFT, for computing fast $O(N \log N)$ approximation to

    $X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m] (n - n_{shift})), m=1,…,M$

    in

    • w::AbstractArray{<:Real} [M] frequency locations (aka Ω, units radians/sample)
      • eltype(w) determines the plan_nfft type; so to save memory use Float32!
      • size(w) determines odim for A if operator=true
    • N::Int signal length

    option

    • nfft_m::Int see NFFT.jl documentation; default 4
    • nfft_sigma::Real "", default 2.0
    • n_shift::Real often is N/2; default 0
    • pi_error::Bool throw error if $|w| > π$, default true
      • Set to false only if you are very sure of what you are doing!
    • do_many::Bool support extended inputs via map_many? default true
    • operator::Bool=true set to false to make A an LinearMapAM

    out

    • p NamedTuple

    (nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A::LinearMapAO)

    The default settings are such that for a 1D signal of length N=512, the worst-case error is below 1e-5 which is probably adequate for typical medical imaging applications. To verify this statement, run nufft_plot1() and see plot.

    source
    MIRT.nufft_init — Method
    p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=?)

    Setup multi-dimensional NUFFT, for computing fast $O(N \log N)$ approximation to

    $X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m,:] (n - n_{shift})), m=1,…,M$

    in

    • w::AbstractArray{<:Real} [M,D] frequency locations (aka Ω, units radians/sample)
      • eltype(w) determines the plan_nfft type; so to save memory use Float32!
      • size(w)[1:(end-1)] determines odim if operator=true
    • N::Dims{D} signal dimensions

    option

    • nfft_m::Int see NFFT.jl documentation; default 4
    • nfft_sigma::Real "", default 2.0
    • n_shift::AbstractVector{<:Real} (D) often is N/2; default zeros(D)
    • pi_error::Bool throw error if $|w| > π$, default true
      • Set to false only if you are very sure of what you are doing!
    • do_many::Bool support extended inputs via map_many? default true
    • operator::Bool=true set to false to make A a LinearMapAM

    The default do_many option is designed for parallel MRI where the k-space sampling pattern applies to every coil. It may also be useful for dynamic MRI with repeated sampling patterns. The coil and/or time dimensions must come after the spatial dimensions.

    out

    • p NamedTuple with fields nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A=LinearMapAO (Using operator=true allows the LinearMapAO to support do_many.)
    source
    MIRT.nufft_typer — Method
    nufft_typer(T::DataType, x::AbstractArray{<:Real} ; warn::Bool=true)

    type conversion wrapper for nfft()

    source
    MIRT.ogm_ls — Method
    (x,out) = ogm_ls(B, gradf, curvf, x0; niter=?, ninner=?, fun=?)

    OGM with a line search Drori&Taylor to minimize a general "inverse problem" cost function of the form $\Psi(x) = \sum_{j=1}^J f_j(B_j x)$ where each function $f_j(v)$ has a quadratic majorizer of the form

    \[q_j(v;u) = f_j(u) + \nabla f_j(u) (v - u) + 1/2 \|v - u\|^2_{C_j(u)}\]

    where $C_j(u)$ is diagonal matrix of curvatures. (It suffices for each $f_j$ to have a Lipschitz smooth gradient.)

    This OGM method uses a majorize-minimize (MM) line search.

    in

    • B vector of $J$ blocks $B_1,…,B_J$
    • gradf vector of $J$ functions return gradients of $f_1,…,f_J$
    • curvf vector of $J$ functions z -> curv(z) that return a scalar or a vector of curvature values for each element of $z$
    • x0 initial guess; need length(x) == size(B[j],2) for $j=1,…,J$

    option

    • niter # number of outer iterations; default 50
    • ninner # number of inner iterations of MM line search; default 5
    • fun User-defined function to be evaluated with two arguments (x,iter).
    • It is evaluated at (x0,0) and then after each iteration.

    output

    • x final iterate
    • out (niter+1) (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))
      • (all 0 by default). This is a vector of length niter+1.
    source
    MIRT.ogm_ls — Method
    (x,out) = ogm_ls(grad, curv, x0, ...)

    Special case of ogm_ls (OGM with line search) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad.

    source
    MIRT.pogm_restart — Method
    x, out = pogm_restart(x0, Fcost, f_grad, f_L ;
+f_mu=0, mom=:pogm, restart=:gr, restart_cutoff=0.,
+bsig=1, niter=10, g_prox=(z,c)->z, fun=...)

    Iterative proximal algorithms (PGM=ISTA, FPGM=FISTA, POGM) with restart.

    in

    • x0 initial guess
    • Fcost function for computing the cost function value $F(x)$
      • (needed only if restart === :fr)
    • f_grad function for computing the gradient of $f(x)$
    • f_L Lipschitz constant of the gradient of $f(x)$

    option

    • f_mu strong convexity parameter of $f(x)$; default 0.
      • if f_mu > 0, $(\alpha, \beta_k, \gamma_k)$ is chosen by Table 1 in [KF18]
    • g_prox function g_prox(z,c) for the proximal operator for $g(x)$
      • g_prox(z,c) computes $argmin_x 1/2 \|z-x\|^2 + c \, g(x)$
    • mom momentum option
      • :pogm POGM (fastest); default!
      • :fpgm (FISTA), $\gamma_k = 0$
      • :pgm PGM (ISTA), $\beta_k = \gamma_k = 0$
    • restart restart option
      • :gr gradient restart; default!
      • :fr function restart
      • :none no restart
    • restart_cutoff for :gr restart if cos(angle) < this; default 0.
    • bsig gradient "gamma" decrease option (value within [0 1]); default 1
      • see $\bar{\sigma}$ in [KF18]
    • niter number of iterations; default 10
    • fun function(iter, xk, yk, is_restart) user-defined function evaluated each iter with secondary xk, primary yk, and boolean is_restart indicating whether this iteration was a restart

    out

    • x final iterate
      • for PGM (ISTA): $x_N = y_N$
      • for FPGM (FISTA): primary iterate $y_N$
      • for POGM: secondary iterate $x_N$, see [KF18]
    • out [fun(0, x0, x0, false), fun(1, x1, y1, is_restart), ...] array of length [niter+1]

    Optimization Problem: Nonsmooth Composite Convex Minimization

    • $argmin_x F(x), F(x) := f(x) + g(x))$
      • $f(x)$ smooth convex function
      • $g(x)$ convex function, possibly nonsmooth and "proximal-friendly" [CP11]

    Optimization Algorithms:

    Accelerated First-order Algorithms when $g(x) = 0$ [KF18] iterate as below for given coefficients $(\alpha, \beta_k, \gamma_k)$

    • For k = 0,1,...
      • $y_{k+1} = x_k - \alpha f'(x_k)$ : gradient update
      • $x_{k+1} = y_{k+1} + \beta_k (y_{k+1} - y_k) + \gamma_k (y_{k+1} - x_k)$ : momentum update

    Proximal versions of the above for $g(x) \neq 0$ are in the below references, and use the proximal operater $prox_g(z) = argmin_x {1/2\|z-x\|^2 + g(x)}$.

    • Proximal Gradient method (PGM or ISTA) - $\beta_k = \gamma_k = 0$. [BT09]
    • Fast Proximal Gradient Method (FPGM or FISTA) - $\gamma_k = 0$. [BT09]
    • Proximal Optimized Gradient Method (POGM) - [THG15]
    • FPGM(FISTA) with Restart - [OC15]
    • POGM with Restart - [KF18]

    references

    • [CP11] P. L. Combettes, J. C. Pesquet,

    "Proximal splitting methods in signal processing," Fixed-Point Algorithms for Inverse Problems in Science and Engineering, Springer, Optimization and Its Applications, 2011.

    • [KF18] D. Kim, J.A. Fessler,

    "Adaptive restart of the optimized gradient method for convex optimization," 2018 Arxiv:1703.04641, [http://doi.org/10.1007/s10957-018-1287-4]

    • [BT09] A. Beck, M. Teboulle:

    "A fast iterative shrinkage-thresholding algorithm for linear inverse problems," SIAM J. Imaging Sci., 2009.

    • [THG15] A.B. Taylor, J.M. Hendrickx, F. Glineur,

    "Exact worst-case performance of first-order algorithms for composite convex optimization," Arxiv:1512.07516, 2015, SIAM J. Opt. 2017 [http://doi.org/10.1137/16m108104x]

    Copyright 2017-3-31, Donghwan Kim and Jeff Fessler, University of Michigan 2018-08-13 Julia 0.7.0 2019-02-24 interface redesign

    source
    MIRT.poweriter — Method
    v1,σ1 = poweriter(A; niter=?, ...)

    Determine first right singular vector v1 and first singular value σ1 of A by applying power iteration to A'A

    in

    • A M × N matrix

    option

    • niter default 200
    • x0 initial guess of v1
    • tol stopping tolerance for s1, default 1e-6
    • chat::Bool verbose? default false

    out

    • v1 [N] principal right singular vector
    • σ1 spectral norm of A
    source
    MIRT.rect — Method
    rect(x::Real)

    Unit width rect function. Potential problem? Bring up with fess.

    source
    MIRT.reverser — Method
    y = reverser(x, dims)

    reverse array along specified dimensions (or all if unspecified)

    source
    MIRT.rmsd100 — Method
    rmsd = rmsd100(x, y ; mask)

    Compute 100 * RMSD (root mean squared difference) between x and y within domain mask.

    in

    • x : array
    • y : another array of same size

    option

    • mask::Array{Bool} : domain over which to compute the RMSE; default trues(size(x))

    out

    • rmsd : rmsd of x vs y within mask in %
    source
    MIRT.snr2sigma — Method
    snr2sigma(db, yb)

    Convert SNR in dB to noise σ for complex gaussian noise. No sqrt(2) factors is needed here because randn(Complex{Float}) already accounts for that. (See randn documentation.)

    source
    MIRT.@shows — Macro
    @shows expr

    Show the type and size of an expression expr (typically a variable).

    More concise output than @show and typically this is all that is needed when debugging code.

    source
    diff --git a/previews/PR129/search/index.html b/previews/PR129/search/index.html new file mode 100644 index 00000000..7afdb84e --- /dev/null +++ b/previews/PR129/search/index.html @@ -0,0 +1,2 @@ + +Search · MIRT.jl

    Loading search...

      diff --git a/previews/PR129/search_index.js b/previews/PR129/search_index.js new file mode 100644 index 00000000..41dd1533 --- /dev/null +++ b/previews/PR129/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"generated/examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"EditURL = \"https://github.com/JeffFessler/MIRT.jl/blob/main/docs/lit/examples/1-mirt.jl\"","category":"page"},{"location":"generated/examples/1-mirt/#mirt","page":"MIRT overview","title":"MIRT overview","text":"","category":"section"},{"location":"generated/examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"The Julia package MIRT.jl provides tools for performing image reconstruction and solving related inverse problems.","category":"page"},{"location":"generated/examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"For more tools and more examples, see JuliaImageRecon","category":"page"},{"location":"generated/examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"","category":"page"},{"location":"generated/examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"This page was generated using Literate.jl.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"EditURL = \"https://github.com/JeffFessler/MIRT.jl/blob/main/docs/lit/examples/2-nufft.jl\"","category":"page"},{"location":"generated/examples/2-nufft/#nufft","page":"NUFFT","title":"NUFFT","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Examples illustrating the nufft methods in the Julia package MIRT.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"The nufft functions in this package are wrappers around NFFT.jl.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"The plots on this page are simply sanity checks about of the approximation error for that package and they help verify the correctness of the wrapper.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This page comes from a single Julia file: 2-nufft.jl.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"You can access the source code for such Julia documentation using the 'Edit on GitHub' link in the top right. You can view the corresponding notebook in nbviewer here: 2-nufft.ipynb, or open it in binder here: 2-nufft.ipynb.","category":"page"},{"location":"generated/examples/2-nufft/#Setup","page":"NUFFT","title":"Setup","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Packages needed here.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"using Plots; default(markerstrokecolor = :auto, label=\"\")\nusing MIRTjim: prompt\nusing MIRT: nufft_init, nufft_errors, dtft\nusing InteractiveUtils: versioninfo","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"The following line is helpful when running this file as a script; this way it will prompt user to hit a key after each figure is displayed.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"isinteractive() && prompt(:prompt);\nnothing #hide","category":"page"},{"location":"generated/examples/2-nufft/#D-example","page":"NUFFT","title":"1D example","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This code illustrates how to call the NUFFT.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Ω = range(-1,1,301) * π # digital frequencies (radians/sample)\nN = 16 # # of samples\n(nufft, nufft_adjoint, Anufft) = nufft_init(Ω, N)\nx = randn(ComplexF32, N) # random 1D signal\ny1 = nufft(x) # one way to compute NUFFT\ny2 = Anufft * x # another way to compute NUFFT\n@assert y1 == y2\nyd = dtft(Ω, x) # exact (slow) nonuniform discrete Fourier transform\nmaximum(abs, yd - y1) # worst error for this 1D signal","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This plot shows that the NUFFT is very close to the exact nonuniform DFT.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"xticks = ([-π,0,π], [\"-π\", \"0\", \"π\"]); xlims = (-π,π); xlabel=\"Ω\"\np1 = plot(ylabel=\"Real part\"; xlabel, xlims, xticks)\nplot!(Ω, real(y1), label=\"real(NUFFT)\", line=:dash)\nplot!(Ω, real(yd), label=\"real(DTFT)\", line=:dot)\np2 = plot(ylabel=\"Imag part\"; xlabel, xlims, xticks)\nplot!(Ω, imag(y1), label=\"imag(NUFFT)\", line=:dash)\nplot!(Ω, imag(yd), label=\"imag(NUFFT)\", line=:dot)\np3 = plot(Ω, real(yd - y1), label=\"real(Error)\"; xlabel, xlims, xticks)\np4 = plot(Ω, imag(yd - y1), label=\"imag(Error)\"; xlabel, xlims, xticks)\nplot(p1, p2, p3, p4)","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"prompt()","category":"page"},{"location":"generated/examples/2-nufft/#Plot-worst-case-errors-vs-N","page":"NUFFT","title":"Plot worst-case errors vs N","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Plot worst-case error over all frequencies Ω between 0 and 2πN for various N.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Even for N=512 the error is below 4e-6.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Nlist = 2 .^ (4:9)\nNlist = [Nlist..., 191, 385] # test odd N values\nerrfunn = N -> maximum(nufft_errors( ; N)[2])\nelist = errfunn.(Nlist)\npn = scatter(Nlist, elist,\n xtick=Nlist, color=:red, xlabel=\"N\", ylabel=\"error\", yaxis=:log10)","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"prompt()","category":"page"},{"location":"generated/examples/2-nufft/#Plot-error-vs-NFFT-m.","page":"NUFFT","title":"Plot error vs NFFT m.","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"For the default m = 4 the worst-case error is below 4e-6.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"mlist = 3:7\nerrfunm = nfft_m -> maximum(nufft_errors( ; nfft_m)[2])\nworst_m = errfunm.(mlist)\npm = scatter(mlist, worst_m,\n xlabel=\"m\", ylabel=\"error\", color=:magenta, yaxis=:log10)","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"prompt()","category":"page"},{"location":"generated/examples/2-nufft/#Plot-error-vs-NFFT-sigma.","page":"NUFFT","title":"Plot error vs NFFT sigma.","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"For the default σ = 4 the worst-case error is below 4e-6.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"slist = [1.5; 2:6] # σ\nerrfuns = nfft_sigma -> maximum(nufft_errors( ; nfft_sigma)[2])\nworst_s = errfuns.(slist)\nps = scatter(slist, worst_s,\n xlabel=\"σ\", ylabel=\"error\", color=:blue, yaxis=:log10)","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"prompt()","category":"page"},{"location":"generated/examples/2-nufft/#Reproducibility","page":"NUFFT","title":"Reproducibility","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This page was generated with the following version of Julia:","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"using InteractiveUtils: versioninfo\nio = IOBuffer(); versioninfo(io); split(String(take!(io)), '\\n')","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"And with the following package versions","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"import Pkg; Pkg.status()","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This page was generated using Literate.jl.","category":"page"},{"location":"methods/#Methods-list","page":"Methods","title":"Methods list","text":"","category":"section"},{"location":"methods/","page":"Methods","title":"Methods","text":"","category":"page"},{"location":"methods/#Methods-usage","page":"Methods","title":"Methods usage","text":"","category":"section"},{"location":"methods/","page":"Methods","title":"Methods","text":"Modules = [MIRT]","category":"page"},{"location":"methods/#MIRT.MIRT","page":"Methods","title":"MIRT.MIRT","text":"MIRT is the Michigan Image Reconstruction Toolbox\n\n\n\n\n\n","category":"module"},{"location":"methods/#MIRT.LineSearchMM","page":"Methods","title":"MIRT.LineSearchMM","text":"LineSearchMM{...}\n\nMutable struct for MM-based line searches.\n\n\n\n\n\n","category":"type"},{"location":"methods/#MIRT.LineSearchMM-Union{Tuple{Tw}, Tuple{AbstractVector{<:AbstractArray}, AbstractVector{<:AbstractArray}, AbstractVector{<:Function}, AbstractVector{<:Function}}} where Tw<:MIRT.LineSearchMMWork","page":"Methods","title":"MIRT.LineSearchMM","text":"LineSearchMM(gradf, curvf, u, v; α0 ...)\nLineSearchMM(u, v, dot_gradf, dot_curvf; α0 ...)\n\nConstruct iterator for line-search based on majorize-minimize (MM) approach for a general family of 1D cost functions of the form h(α) = sum_j=1^J f_j(u_j + α v_j) where each function f_j(t) has a quadratic majorizer of the form\n\nq_j(ts) = f_j(t) + nabla f_j(s) (t - s) + 12 t - s^2_C_j(s)\n\nwhere C_j() is diagonal matrix of curvatures. (It suffices for each f_j to have a Lipschitz smooth gradient.)\n\nEach function f_j mathcalX_j mathbbR where conceptually mathcalX_j mathbbR^M_j, but we allow more general domains.\n\nThere are two outer constructors (based on the positional arguments):\n\nThe simple way (not type stable) provides\ngradf vector of J functions return gradients of f_1f_J\ncurvf vector of J functions z -> curv(z) that return a scalar or a vector of curvature values for each element of z\nThe fancier way (type stable) provides\ndot_gradf::AbstractVector{<:Function} = make_dot_gradf.(gradf) See make_dot_gradf.\ndot_curvf::AbstractVector{<:Function} = make_dot_curvf.(curvf) See make_dot_curvf.\n\nin\n\nu vector of J arrays u_1u_J (typically vectors)\nv vector of J arrays v_1v_J (typically vectors)\n\nWe require axes(u_j) == axes(v_j) for all j=1J.\n\noption\n\nα0::Real = 0f0 initial guess for step size\nninner::Int = 5 # max number of inner iterations of MM line search\nwork = LineSearchMMWork(u, v, α) pre-allocated work space for u_j+α v_j\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.LineSearchMMWork","page":"Methods","title":"MIRT.LineSearchMMWork","text":"LineSearchMMWork{Tz <: AbstractVector{<:AbstractArray}}\n\nWorkspace for storing z_j = u_j + α v_j in MM-based line search.\n\nIf all of those z_j arrays had the same eltype, then we could save memory by allocating just the longest vector needed. But for Unitful data they could have different eltypes and sizes, which would require a lot of reinterpret and reshape to handle. So we just allocate separate work arrays for each j.\n\n\n\n\n\n","category":"type"},{"location":"methods/#MIRT.Afft-Union{Tuple{AbstractArray{<:Bool, D}}, Tuple{Tw}, Tuple{D}} where {D, Tw<:Number}","page":"Methods","title":"MIRT.Afft","text":"A = Afft(samp::AbstractArray{Bool} ; T, dims, operator, work, ...)\n\nMake a LinearMapAO operator object for (under-sampled) FFT, of type T, using given sampling pattern samp. Especially for compressed sensing MRI with Cartesian sampling.\n\nOption:\n\nT::DataType = ComplexF32\ndims = 1:D apply fft/bfft only along these dimensions\nfft_forward::Bool = true Use false to have bfft! in forward model.\noperator::Bool = true set to false to return a LinearMapAM\nwork::AbstractArray work space for in-place fft operations\nremaining arguments are passed to plan_fft\n\nOutput\n\nReturns a LinearMapsAA.LinearMapA[M|O] object.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.Afft-Union{Tuple{Tuple{Vararg{Int64, D}}}, Tuple{Tw}, Tuple{D}, Tuple{Tuple{Vararg{Int64, D}}, Any}} where {D, Tw<:Number}","page":"Methods","title":"MIRT.Afft","text":"A = Afft(xdim::Dims, fdim ; T, operator, unitary, work, ...)\n\nMake a <:LinearMapAX operator object for the FFT of an array of size xdim, along dimensions fdim, of type T.\n\nIn:\n\nxdim::Dims{D} array size\nfdim = 1:D apply fft/bfft only along these dimensions\n\nOption:\n\nT::DataType = ComplexF32\noperator::Bool = true return a LinearMapAO set to false to return a LinearMapAM\nunitary::Bool = false set to true for unitary DFT\nwork::AbstractArray work space for in-place fft operations\nremaining arguments are passed to plan_fft\n\nOutput\n\nReturns a LinearMapsAA.LinearMapA[M|O] object.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.Anufft-Tuple{AbstractArray{<:Real}, Int64}","page":"Methods","title":"MIRT.Anufft","text":"Anufft(ω, N ; kwargs ...)\n\nMake a LinearMapAO object of size length(ω) × prod(N). See nufft_init for options.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.Aodwt-Tuple{Tuple{Vararg{Int64, N}} where N}","page":"Methods","title":"MIRT.Aodwt","text":"A, levels, mfun = Aodwt(dims ; level::Int=3, wt=wavelet(WT.haar))\n\nCreate orthogonal discrete wavelet transform (ODWT) LinearMapAA\n\nin\n\ndims::Dims tuple of dimensions\n\noption\n\nlevel::Int # of levels; default 3\nwt wavelet transform type (see Wavelets package); default Haar\noperator::Bool=true default to LinearMapAO\nT::DataType : Float32 by default; use ComplexF32 if needed\n\nout\n\nA a LinearMapAX object\nscales array of size dims showing the scale of each coefficient\n\nwhich is useful when imposing scale-dependent regularization\n\nmfun convenience function for A*X when X is a Matrix or Array (not vector)\n\n2019-02-23 Jeff Fessler, University of Michigan\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.Asense-Union{Tuple{Tw}, Tuple{D}, Tuple{AbstractArray{<:Bool, D}, Vector{<:AbstractArray{<:Number}}}} where {D, Tw<:Number}","page":"Methods","title":"MIRT.Asense","text":"Asense(samp, smaps; T)\n\nConstruct a MRI encoding operator model for D-dimensional Cartesian sampling pattern samp and coil sensitivity maps smaps.\n\nThe input smaps can either be a D+1 dimensional array of size (size(samp)..., ncoil), or a Vector of ncoil arrays of size size(samp).\n\nInput\n\nsamp::AbstractArray{<:Bool} D-dimensional sampling pattern.\nsmaps::Vector{<:AbstractArray{<:Number}} or AbstractArray{<:Number}\n\nOption\n\nT::DataType = ComplexF32\ndims = 1:D apply fft/bfft only along these dimensions\nfft_forward::Bool = true Use false to have bfft! in forward model.\nunitary::Bool = false set to true for unitary DFT\nremaining arguments are passed to plan_fft\n\nOutput\n\nReturns a LinearMapsAA.LinearMapAO object.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT._show_struct-Tuple{IO, MIME{Symbol(\"text/plain\")}, Any}","page":"Methods","title":"MIRT._show_struct","text":"_show_struct(io::IO, ::MIME\"text/plain\", st::Any)\n\nInformative way to show fields of a struct (composite type).\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.caller_name-Tuple{}","page":"Methods","title":"MIRT.caller_name","text":"caller_name() or caller_name(;level=4)\n\nReturn \"filename line fun():\" as a string to describe where this function was called.\n\nStack levels:\n\n1: #caller_name\n2: caller_name()\n3: function that invoked caller()\n4: the calling function we want to return\n\nHence the default level is 4, but we increment it by one in case user says @show caller_name() in which case stack[3] is a macro expansion.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diff_adj-Union{Tuple{D}, Tuple{AbstractVector{<:Number}, Tuple{Vararg{Int64, D}}}} where D","page":"Methods","title":"MIRT.diff_adj","text":"Z = diff_adj(dx, N::Dims{D} ; dims = 1:D)\n\nAdjoint of finite differences of arrays along one or more dimensions. By default performs the same operations as vec(Z) = (I_N_d otimes cdots otimes D_N_1) dots (D_N_d otimes cdots otimes I_N_1) * d where D_N denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).\n\nin\n\ndx vector of typical length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1\nN::Dims desired output size\n\noption\n\ndims dimension(s) for performing adjoint finite differences; default 1:ndims(X)\n\nout\n\nZ N_1 × ... × N_d array by default\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diff_forw-Union{Tuple{AbstractArray{<:Number, D}}, Tuple{D}} where D","page":"Methods","title":"MIRT.diff_forw","text":"d = diff_forw(X ; dims = 1:ndims(X))\n\nFinite differences along one or more dimensions of an array, e.g., for anisotropic TV regularization.\n\nBy default performs the same operations as d = (I_N_d otimes cdots otimes D_N_1) dots (D_N_d otimes cdots otimes I_N_1) vec(X) where D_N denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).\n\nInput dimension N must exceed 1 for each dimension specified by dims.\n\nin\n\nX N_1 × ... × N_d array (typically an N-D image).\n\noption\n\ndims dimension(s) for performing finite differences; default 1:ndims(X)\n\nmust have unique elements and be a nonempty subset of 1:ndims(X)\n\nout\n\nd vector of default length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diff_map-Union{Tuple{Tuple{Vararg{Int64, D}}}, Tuple{D}} where D","page":"Methods","title":"MIRT.diff_map","text":"T = diff_map(N::Dims{D} ; dims = 1:D)\n\nin\n\nN::Dims image size\n\nout\n\nT LinearMapAA object for computing finite differences via T*x\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl!-Union{Tuple{Nx}, Tuple{Ng}, Tuple{Tx}, Tuple{Tg}, Tuple{AbstractArray{Tg, Ng}, AbstractArray{Tx, Nx}, AbstractVector{Int64}}} where {Tg, Tx, Ng, Nx}","page":"Methods","title":"MIRT.diffl!","text":"diffl!(g::AbstractArray, x::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nWhen x is a N-dimensional array, the ith slice of the g array (along its last dimension) is the diffl! of x along dims[i]. This is useful for total variation (TV) and other regularizers that need finite differences along multiple dimensions.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl!-Union{Tuple{N}, Tuple{Tx}, Tuple{Tg}, Tuple{AbstractArray{Tg, N}, AbstractArray{Tx, N}, Int64}} where {Tg, Tx, N}","page":"Methods","title":"MIRT.diffl!","text":"diffl!(g::AbstractArray, x::AbstractArray, dim::Int ; ...)\n\nApply left finite difference operator to input array x, storing the result \"in-place\" in pre-allocated output array g. (The letter g is mnemonic for \"gradient\".)\n\nArrays g and x must have the same size, and cannot alias. By default, the \"first\" elements of g are zero for dimension dim. The default is dim=1.\n\nOption:\n\nadd::Bool = false use x[i] + x[i-1] instead of x[i] - x[i-1] (useful for certain diagonal majorizers).\nedge::Symbol = :zero set the first elements of dimension dim to 0\nChoose edge=:circ to use circulant (aka periodic) boundary conditions.\nChoose edge=:none to leave the first elements untouched.\n\nExample\n\njulia> x = [2, 6, 7]; g = similar(x); diffl!(g, x)\n3-element Vector{Int64}:\n 0\n 4\n 1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl-Tuple{AbstractArray, AbstractVector{Int64}}","page":"Methods","title":"MIRT.diffl","text":"g = diffl(x::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nAllocating version of diffl! for dims\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl-Tuple{AbstractArray, Int64}","page":"Methods","title":"MIRT.diffl","text":"g = diffl(x::AbstractArray, dim::Int ; ...)\n\nAllocating version of diffl! along dim\n\nExample\n\njulia> x = [1,2] .+ [10 30 70]; g = diffl(x, 2)\n2×3 Matrix{Int64}:\n 0 20 40\n 0 20 40\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl-Tuple{AbstractArray}","page":"Methods","title":"MIRT.diffl","text":"g = diffl(x::AbstractArray ; ...)\n\nAllocating version of diffl! along dim=1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj!-Union{Tuple{Ng}, Tuple{Nz}, Tuple{Tg}, Tuple{Tz}, Tuple{AbstractArray{Tz, Nz}, AbstractArray{Tg, Ng}, AbstractVector{Int64}}} where {Tz, Tg, Nz, Ng}","page":"Methods","title":"MIRT.diffl_adj!","text":"diffl_adj!(z::AbstractArray, g::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nAdjoint of diffl! for multiple dimensions dims. Here g must have one more dimension than z.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj!-Union{Tuple{N}, Tuple{Tg}, Tuple{Tz}, Tuple{AbstractArray{Tz, N}, AbstractArray{Tg, N}, Int64}} where {Tz, Tg, N}","page":"Methods","title":"MIRT.diffl_adj!","text":"diffl_adj!(z, g, dim::Int ; ...)\n\nAdjoint of left finite difference diffl!, in-place. Arrays z and g must be same size. See diffl_adj for details.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj-Tuple{AbstractArray, Int64}","page":"Methods","title":"MIRT.diffl_adj","text":"z = diffl_adj(g::AbstractArray, dim::Int ; ...)\n\nAllocating version of diffl_adj! along dim.\n\nExample\n\njulia> g = ones(Int,2,3); z = diffl_adj(g, 2)\n2×3 Matrix{Int64}:\n -1 0 1\n -1 0 1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj-Tuple{AbstractArray}","page":"Methods","title":"MIRT.diffl_adj","text":"z = diffl_adj(g::AbstractArray ; ...)\n\nAllocating version of diffl_adj! along dim=1.\n\nExample\n\njulia> g = [0, 2, 5]; z = diffl_adj(g)\n3-element Vector{Int64}:\n -2\n -3\n 5\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj-Union{Tuple{N}, Tuple{T}, Tuple{AbstractArray{T, N}, AbstractVector{Int64}}} where {T, N}","page":"Methods","title":"MIRT.diffl_adj","text":"z = diffl_adj(g::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nAllocating version of diffl_adj! for dims.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_map-Union{Tuple{D}, Tuple{Tuple{Vararg{Int64, D}}, AbstractVector{Int64}}} where D","page":"Methods","title":"MIRT.diffl_map","text":"T = diffl_map(N::Dims{D}, dims::AbstractVector{Int} ; kwargs...)\nT = diffl_map(N::Dims{D}, dim::Int ; kwargs...)\n\nin\n\nN::Dims image size\n\noptions: see diffl!\n\nT::Type for LinearMapAA, default Float32\noperator::Bool = true use false for LinearMapAM\n\nout\n\nT LinearMapAA object for computing finite differences via T*x\n\nusing diffl! and diffl_adj!\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.downsample1-Tuple{AbstractVector{<:Number}, Int64}","page":"Methods","title":"MIRT.downsample1","text":"y = downsample1(x, down ; warn=true)\n\nDownsample 1D vector by factor down.\n\nin\n\nx [n1]\ndown::Int downsampling factor\n\noption\n\nwarn::Bool warn if noninteger multiple; default isinteractive()\n\nout\n\ny [n1/down]\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.downsample2-Tuple{AbstractMatrix{<:Number}, Tuple{Int64, Int64}}","page":"Methods","title":"MIRT.downsample2","text":"y = downsample2(x, down ; warn=true, T)\n\nDownsample by averaging by integer factors.\n\nin\n\nx [nx ny]\ndown can be a scalar (same factor for both dimensions) or a NTuple{2,Int}\n\noption\n\nwarn::Bool warn if noninteger multiple; default isinteractive()\nT::DataType specify output eltype; default eltype(x[1] / down[1])\n\nout\n\ny [nx/down ny/down]\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.downsample3-Tuple{AbstractArray{<:Number, 3}, Tuple{Int64, Int64, Int64}}","page":"Methods","title":"MIRT.downsample3","text":"y = downsample3(x, down ; warn=true, T)\n\nDownsample by averaging by integer factors.\n\nin\n\nx (nx,ny,nz)\ndown can be a scalar (same factor for all dimensions) or a NTuple{3,Int}\n\noption\n\nwarn::Bool warn if noninteger multiple; default true\nT::DataType specify output eltype; default eltype(x[1] / down[1])\n\nout\n\ny (nx/down,ny/down,nz/down)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.downsample_dim1-Tuple{AbstractArray{<:Number}, Int64}","page":"Methods","title":"MIRT.downsample_dim1","text":"y = downsample_dim1(x, down ; warn::Bool)\n\nDown-sample x by factor down along first dimension by averaging.\n\nin\n\nx [n1 (Nd)]\ndown::Int downsampling factor\n\noption\n\nwarn::Bool warn if non-integer multiple; default isinteractive()\n\nout\n\ny [n1÷down (Nd)]\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft-Tuple{AbstractMatrix{<:Real}, AbstractMatrix{<:Number}}","page":"Methods","title":"MIRT.dtft","text":"X = dtft(w, x ; n_shift=?)\n\nmulti-dimensional DTFT (DSFT)\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M where here n is a CartesianIndex\n\nin\n\nw::AbstractMatrix{<:Real} (M,D) frequency locations (\"units\" radians/sample)\nx::AbstractArray{<:Number} [(Nd)] D-dimensional signal\n\noption\n\nn_shift::AbstractVector{<:Real} often is N/2; default zeros(D)\n\nout\n\nX::AbstractVector{ComplexF64} (M) DTFT\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft-Tuple{AbstractVector{<:Real}, AbstractVector{<:Number}}","page":"Methods","title":"MIRT.dtft","text":"X = dtft(w, x ; n_shift=?)\n\n1D DTFT\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M\n\nin\n\nw::AbstractVector{<:Real} (M) frequency locations (\"units\" radians/sample)\nx::AbstractVector{<:Number} (N) 1D signal\n\noption\n\nn_shift::Real often is N/2; default 0\n\nout\n\nX::AbstractVector{ComplexF64} [M] DTFT\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft_adj-Tuple{AbstractMatrix{<:Real}, AbstractVector{<:Number}, Tuple{Vararg{Int64, N}} where N}","page":"Methods","title":"MIRT.dtft_adj","text":"x = dtft_adj(w, X, N ; n_shift=?)\n\nadjoint for multi-dimensional DTFT (DSFT)\n\nxn = sum_m=1^M Xm exp(i wm (n - n_shift)) n=0N-1 where here n is a CartesianIndex\n\nin\n\nX::AbstractVector{ComplexF64} (M) DTFT\nw::AbstractMatrix{<:Real} (M,D) frequency locations (\"units\" radians/sample)\nN::Dims (D) dimensions of signal x\n\noption\n\nn_shift::AbstractVector{<:Real} often is N/2; default zeros(D)\nT::DataType default (eltype(w) == Float64) ? ComplexF64 : ComplexF32\n\nout\n\nx::AbstractArray{<:Number} [(N)] D-dimensional signal\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft_adj-Tuple{AbstractVector{<:Real}, AbstractVector{<:Number}, Int64}","page":"Methods","title":"MIRT.dtft_adj","text":"x = dtft_adj(w, X, N ; n_shift=?)\n\nadjoint for 1D DTFT\n\nxn = sum_m=1^M Xm exp(i wm (n - n_shift)) n=0N-1\n\nThis is the adjoint (transpose) of dtft, not an inverse DTFT.\n\nin\n\nw::AbstractVector{<:Real} (M) frequency locations (\"units\" radians/sample)\nX::AbstractVector{ComplexF64} (M) spectrum values\nN::Int size of signal x\n\noption\n\nn_shift::Real often is N/2; default 0\nT::DataType output data type; default ComplexF64\n\nout\n\nx::AbstractVector{<:Number} (N) signal\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft_init-Tuple{AbstractMatrix{<:Real}, Tuple{Vararg{Int64, N}} where N}","page":"Methods","title":"MIRT.dtft_init","text":"d = dtft_init(w, N ; n_shift=?)\n\nfor multi-dimensional DTFT (DSFT)\n\nin\n\nw::AbstractMatrix{<:Real} (M,D) frequency locations (\"units\" radians/sample)\nN::Dims [D] dimensions of signal x\n\noption\n\nn_shift::AbstractVector{<:Real} often is N/2; default zeros(D)\nT::DataType default ComplexF64 for testing NUFFT accuracy\n\nout\n\nd::NamedTuple with fields dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft_init-Tuple{AbstractVector{<:Real}, Int64}","page":"Methods","title":"MIRT.dtft_init","text":"d = dtft_init(w, N ; n_shift=?)\n\nFor 1D DTFT\n\nin\n\nw::AbstractVector{<:Real} (M) frequency locations (\"units\" radians/sample)\nN::Int size of signal x\n\noption\n\nn_shift::Real often is N/2; default 0\nT::DataType default ComplexF64 for testing NUFFT accuracy\n\nout\n\nd::NamedTuple with fields dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.embed!-Union{Tuple{D}, Tuple{T}, Tuple{AbstractArray{T, D}, AbstractVector{<:Number}, AbstractArray{Bool, D}}} where {T, D}","page":"Methods","title":"MIRT.embed!","text":"embed!(array, v, mask ; filler=0)\n\nembed vector v of length sum(mask) into elements of array where mask is true, setting the remaining elements to filler (default 0).\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.embed-Tuple{AbstractMatrix{<:Number}, AbstractArray{Bool}}","page":"Methods","title":"MIRT.embed","text":"array = embed(matrix::AbstractMatrix{<:Number}, mask::AbstractArray{Bool})\n\nEmbed each column of matrix into mask then cat along next dimension In:\n\nmatrix [sum(mask) L]\nmask [(N)]\n\nOut:\n\narray [(N) L]\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.embed-Union{Tuple{T}, Tuple{AbstractVector{T}, AbstractArray{Bool}}} where T<:Number","page":"Methods","title":"MIRT.embed","text":"array = embed(v, mask ; filler=0)\n\nembed vector v of length sum(mask) into elements of an array where mask is true; see embed!.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.eql_root-Tuple{Real, Real, Real}","page":"Methods","title":"MIRT.eql_root","text":"x = eql_root(a,b,c)\n\nNumerically stable method for computing the positive root of the quadratic polynomial -ax^2 - 2bx + c, a >= 0. Assumes solvable equations; will throw otherwise.\n\nin\n\na The negative of the x^2 term. Must be positive.\nb Half the negative of the x term.\nc The constant term.\n\nout\n\nx The positive root that satisfies 0 = -ax^2 - 2bx + c.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.exp_mult-Tuple{Any, AbstractVector{<:Number}, AbstractVector{<:Number}}","page":"Methods","title":"MIRT.exp_mult","text":"D = exp_mult(A, u, v ; warnboth)\n\nMemory efficient and fast implementation of D = A' * exp(-u * v^T) that is useful for B0-field-corrected MRI image reconstruction.\n\nin\n\nA [N L] matrix\nu [N] vector\nv [M] vector\nwarnboth warn if both u and v are complex; default: true\n\nout\n\nD [L M] complex vector: D = A' * exp(-u * v^T)\n\nD_lm = sum_n A_nl^* exp(-u_n v_m)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.exp_xform-Tuple{AbstractMatrix{<:Number}, AbstractMatrix{<:Number}, AbstractMatrix{<:Number}}","page":"Methods","title":"MIRT.exp_xform","text":"exp_xform(x, u, v ; mode::Symbol = :matrix)\n\nin\n\nx [N L] possibly complex vector(s)\nu [D N] possibly complex vectors\nv [D M] possibly complex vectors\nmode::Symbol :matrix (default) | :element | :row | :column\n\nout\n\ny [M L] typically complex vector\n\ny[m,l] = sum_n x[n,l] exp(-sum(u[:,n] .* v[:,m]))\n\nIterates through subsets of the ML matrix designated by :mode (i.e. row, column, element, or just computing the entire matrix) This is the 'slow' 'exact' transform model for MRI.\n\nOutput type will depend on input types.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.genkspace-NTuple{8, Any}","page":"Methods","title":"MIRT.genkspace","text":"genkspace\n\nGenerate the proper length of k-space trajectory.\n\nIt linearly interpolates the output of genspiral to the correct length() & takes care of the rotations for the interleaves.\n\nld is the length of the data\nnint is the number of interleaves\n\nBrad Sutton; University of Michigan\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.genspi-Tuple{Any, Any}","page":"Methods","title":"MIRT.genspi","text":"Gx, Gy, kx, ky, sx, sy, gts = genspi(...)\n\nThis is translation of C code from scanner: exactly what is played out to gradients at 4us.\n\nMulti-shot spiral design uses Duyn's approximate slewrate limited design augmented with archimedian gmax limit\n\nin [args]\n\nD = FOV; cm\nN = matrix size()\nTmax = longest acquisition allowed; s\ndts = output sample spacing; s\ngtype = trajectory type()\n\noption [CVs]\n\nnl = number of interleaves\ngamp = design grad max; G/cm\ngslew = design slew rate; mT/m/ms\nnramp = number of rampdown points; default 0\n\nout\n\nGx; Gy\n\ntime is in sec()\n\nrev 0 12/26/98 original\nrev 1 4/15/99 little better calc of ts\n\nBorrowed from Doug Noll; Univ. of Michigan. Modified to take more input cv's.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.getindex!-Union{Tuple{D}, Tuple{T}, Tuple{AbstractVector, AbstractArray{T, D}, AbstractArray{Bool, D}}} where {T, D}","page":"Methods","title":"MIRT.getindex!","text":"getindex!(y::AbstractVector, x::AbstractArray{T,D}, mask::AbstractArray{Bool,D})\n\nEquivalent to the in-place y .= x[mask] but is non-allocating.\n\nFor non-Boolean indexing, just use @views y .= A[index], per https://discourse.julialang.org/t/efficient-non-allocating-in-place-getindex-for-bitarray/42268\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.interp1-Tuple{AbstractVector{<:Real}, AbstractVector{<:Number}, Any}","page":"Methods","title":"MIRT.interp1","text":"yi = interp1(x, y, xi ; how=Gridded(Linear()), extrap=0)\n\n1D interpolation of y = f(x) at points xi\n\nIn:\n\nx::AbstractVector{<:Real}\ny::AbstractVector{<:Number}\n\nOption:\n\nhow::Interpolations.InterpolationType default Gridded(Linear())\nextrap::Any how to extrapolate, e.g., Flat(); default 0\n\nother options from Interpolations.jl are Line() Periodic() Reflect() Throw()\n\nOutput is same size as input xi\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_dump-Tuple{Any}","page":"Methods","title":"MIRT.ir_dump","text":"ir_dump(x::Any ; io::IO = stdout)\nir_dump(io::IO, x::Any)\n\nShow all the fields of a structure or NamedTuple more nicely than dump() does\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_load_brainweb_t1_256-Tuple{}","page":"Methods","title":"MIRT.ir_load_brainweb_t1_256","text":"data = ir_load_brainweb_t1_256()\n\nLoad brainweb T1-weighted MRI slice of size 256 × 256.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_coil_compress-Tuple{AbstractArray{<:Number}}","page":"Methods","title":"MIRT.ir_mri_coil_compress","text":"(odata, σ, Vr) = ir_mri_coil_compress(idata ; ncoil)\n\nMRI coil compression via PCA. Given multiple MRI surface coil images (idata), use SVD/PCA to find a smaller number of virtual coil images (odata).\n\nIn:\n\nidata [(N) n_in]: noisy complex images (2D or 3D) for each coil\n\nOption:\n\nncoil Desired # of virtual coils (default: 1)\n\nOut:\n\nodata [(N) ncoil]: virtual coil images\nσ [n_in]: singular values.\nVr [n_in, ncoil]: compression matrix for reducing other data.\n\ntodo: currently ignores noise correlations\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_kspace_ga_radial-Tuple{}","page":"Methods","title":"MIRT.ir_mri_kspace_ga_radial","text":"kspace = ir_mri_kspace_ga_radial(; Nro=?, Nspoke=?, ...)\n\nGenerate k-space sampling pattern for \"golden angle\" radial sampling.\n\noption\n\nNro:Int number of samples in each readout/spoke, default 256\nNspoke::Int number of spokes, default 1\nstart::Real first angle in series [radians], default π/2\nangle::Real angular spacing [radians], default GA\ndelta_ro::Real readout spacing, default 1/Nro\nshift::Real shift due to gradient delays, default 0\nradial sample locations are ir * delta_ro\nwhere ir = [-(Nro/2 - 1):1:Nro/2] + shift\n\nout\n\nkspace [Nro Nspoke 2] (Float32)\n\nkx and ky k-space locations for Nspoke*Nro samples in interval (-0.5 0.5] for default shift, delta_ro so default units are \"cycles / sample\"\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_sensemap_sim-Tuple{Symbol}","page":"Methods","title":"MIRT.ir_mri_sensemap_sim","text":"(smap,info) = ir_mri_sensemap_sim( :all ; kwargs)\n\nLike ir_mri_sensemap_sim but also returns info with data for all coils, mainly for testing and plotting.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_sensemap_sim-Tuple{Vector{Tuple{Int64, Int64}}}","page":"Methods","title":"MIRT.ir_mri_sensemap_sim","text":"(smap,info) = ir_mri_sensemap_sim( ir_ic_pair ; kwargs)\n\nLike ir_mri_sensemap_sim but also returns info with data for specific coils where ir_ic_pair::Vector{Tuple{Int,Int}}. (Usually used internally only.)\n\ninfo::NamedTuple geometry information for plots\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_sensemap_sim-Tuple{}","page":"Methods","title":"MIRT.ir_mri_sensemap_sim","text":"smap = ir_mri_sensemap_sim(...)\n\nSimulate 2D or 3D sensitivity maps for sensitivity-encoded MRI based on grivich:00:tmf.\n\nThis code makes maps for multiple coils, but does not model coupling between coils, so most likely it is an approximation at best.\n\noption\n\ndims::Dims image size; default (64, 64)\ndx::Real pixel/voxel dimension; default: 3\ndy::Real pixel/voxel dimension; default: dx\ndz::Real \"\"\nncoil::Int # of coils total; default 4\nnring::Int # of rings of coils; default 1\nrcoil::Real coil radius; default dx * nx / 2 * 0.50\ndz_coil ring spacing in z; default nz*dz/nring\n(3D geometry is a cylinder)\ncoil_distance::Real distance of coil center from isocenter\nfor central ring of coils as a multiple of FOVx,\nwhere FOVx=nx*dx; default 1.2\norbit::Real default 360 [degrees]\norbit_start::AbstractVector{<:Real} = fill(0, nring) [degrees]\nscale::Symbol\n:none (default)\nssos_center make SSoS of center = 1\n\nout\n\nsmap [dims ncoil] simulated sensitivity maps (complex!)\n\nAll length parameters must have same units (e.g., mm or cm)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_sensemap_sim_do-NTuple{14, Any}","page":"Methods","title":"MIRT.ir_mri_sensemap_sim_do","text":"(smap, info) = ir_mri_sensemap_sim_do()\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_smap1-NTuple{4, Any}","page":"Methods","title":"MIRT.ir_mri_smap1","text":"ir_mri_smap1()\n\nBased on grivich:00:tmf for a circular coil in \"x-y plane\" of radius \"a\"\n\nNote that coil x-y plane is not same as object x-y plane!\n\nReturns (i,j,k) components of B vector for each (x,y,z) location.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_smap_r-Tuple{Any, Any}","page":"Methods","title":"MIRT.ir_mri_smap_r","text":"ir_mri_smap_r(r, z)\n\nFunction for testing near 0.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.jinc-Tuple{Real}","page":"Methods","title":"MIRT.jinc","text":"jinc(x)\n\nReturn jinc(x) = J1(pi*x)/(2x), where J1 is a Bessel function of the first kind.\n\nUnits of x are typically cycles/m.\n\nReturn type is promote_type(typeof(x), Float32).\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.line_search_mm-Tuple","page":"Methods","title":"MIRT.line_search_mm","text":"α = line_search_mm(args...; opt, fun, kwargs...)\n\nLine-search based on majorize-minimize (MM) approach. This is a wrapper around the iterator LineSearchMM. See its constructors for args and other kwargs.\n\noption\n\nfun(state) User-defined function to be evaluated with the state initially and then after each iteration.\nout::Union{Nothing,Vector{Any}} = nothing optional place to store result of fun for iterates 0,…,ninner: (All missing by default.) This is aVector{Any}of lengthninner+1`.\n\noutput\n\nα final iterate\n\nThis function mutates the optional arguments out and work.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.make_dot_curvf-Union{Tuple{Tw}, Tuple{Tx}, Tuple{Function, AbstractArray{Tx}}, Tuple{Function, AbstractArray{Tx}, Type{<:Number}}} where {Tx<:Number, Tw<:Number}","page":"Methods","title":"MIRT.make_dot_curvf","text":"make_dot_curvf(curv::Function, [x, Tf::DataType; w = similar(x)])\n\nMake a function with arguments (v, x) that computes the dot product between abs2.(v) and curv(x) where curv(x) is a curvature function associated with a quadratic majorizer for some real-valued cost function f(x), evaluated at array x, typically for use in a line-search method.\n\nFor a single-argument gradient function curv(x), this returns the version equivalent to (v, x) -> dot(abs2.(v), curv(x)). This version will be allocating, unless curv has its own internal workspace due to a closure. This version expects only the argument curv.\nFor a two-argument mutating gradient function curv!(w, x), this returns a function equivalent to (v, x) -> dot(abs2.(v), curv!(w, x)) using the keyword argument w as the work array.\nIf curv is simply a real number (a Lipschitz constant), possibly with units, then this returns the function (v, x) -> curv * sum(abs2, v).\n\nIf f(x) maps an Array x of elements with units Ux into real numbers with units Uf, then its curvature has units Uf/Ux^2. Those units are relevant to defining the work array w.\n\nin\n\ncurv::Function see above\nx an array whose size and eltype is used to allocate w\n\noption\n\nTf::DataType = typeof(one(eltype(x))) Specify eltype of function f(x), defaulting to unitless.\nw = similar(x, typeof(oneunit(Tf) / oneunit(eltype(x))^2)) work space for gradient calculation, with appropriate units (if needed).\n\nout\n\n(v, x) -> dot(abs2.(v), curv([w,] x)) or equivalent.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.make_dot_gradf-Union{Tuple{Tw}, Tuple{Tx}, Tuple{Function, AbstractArray{Tx}}, Tuple{Function, AbstractArray{Tx}, Type{<:Number}}} where {Tx<:Number, Tw<:Number}","page":"Methods","title":"MIRT.make_dot_gradf","text":"make_dot_gradf(grad::Function, [x, Tf::DataType; w = similar(x)])\n\nMake a function with arguments (v, x) that computes the dot product between an array v and the gradient grad(x) of some real-valued cost function f(x), evaluated at array x, typically for use in a line-search method.\n\nFor a single-argument gradient function grad(x), this returns the version (v, x) -> dot(v, grad(x)). This version will be allocating, unless grad has its own internal workspace due to a closure. This version expects only the argument grad.\nFor a two-argument mutating gradient function grad!(w, x), this returns a function (v, x) -> dot(v, grad!(w, x)) using the keyword argument w as the work array.\n\nIf f(x) maps an Array x of elements with units Ux into real numbers with units Uf, then the gradient ∇f has units Uf/Ux. Those units are relevant to defining the work array w.\n\nin\n\ngrad::Function see above\nx an array whose size and eltype is used to allocate w\nTf::DataType = typeof(one(eltype(x))) Specify eltype of function f(x), defaulting to unitless.\n\noption\n\nw = similar(x, typeof(oneunit(Tf) / oneunit(eltype(x)))) work space for gradient calculation, with appropriate units (if needed).\n\nout\n\n(v, x) -> dot(v, grad([w,] x)) or equivalent.\n\nExample. Consider the cost function f(x) = sum(sin.(x)) that has gradient g(x) = cos.(x). The simple way here is make_dot_gradf(g), which will return the function (v, x) = dot(v, g(x)) === dot(v, cos.(x)). That will work fine, but the cos.(x) step will be allocating. A better way (for repeated use) is\n\nfunction g!(work, x)\n @. work = cos(x) # mutating\n return work\nend\n\nThen make_dot_gradf(g!, x) will return a function (v,x) that does not allocate (except when first generated via a closure). For this particular example, an even better approach is to directly define dot_gradf(v,x) = sum(vx -> vx[1]*cos(vx[2]), zip(v,x)), but make_dot_gradf is here for more general cases.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.map_many-Tuple{Function, AbstractArray, Tuple{Vararg{Int64, N}} where N}","page":"Methods","title":"MIRT.map_many","text":"y = map_many(fun::Function, x::AbstractArray{<:Any}, idim::Dims)\n\nApply a function fun to leading slices of input x; cousin of mapslices\n\nin\n\nfun::Function maps input of size idim to output of some size odim\nx [idim ldim]\n\nout\n\ny [odim ldim]\n\nExample: if fun maps array of size (1,2) to array of size (3,4,5) and if input x has size (1,2,7,8) then output y will have size (3,4,5,7,8) where y[:,:,:,i,j] = fun(x[:,:,i,j])\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mask_or-Tuple{AbstractMatrix{Bool}}","page":"Methods","title":"MIRT.mask_or","text":"mask_or(mask)\n\ncompress 3D mask to 2D by logical or along z direction\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mask_outline-Tuple{AbstractMatrix{Bool}}","page":"Methods","title":"MIRT.mask_outline","text":"mask_outline(mask)\n\nreturn outer boundary of 2D mask (or mask_or for 3D)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.maskit-Tuple{AbstractArray{<:Number}, AbstractArray{Bool}}","page":"Methods","title":"MIRT.maskit","text":"maskit(x::AbstractArray{<:Number})\n\nopposite of embed\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.max_percent_diff-Tuple{Any, Any}","page":"Methods","title":"MIRT.max_percent_diff","text":"max_percent_diff(s1, s2, [options])\n\nCompute the \"maximum percent difference\" between two signals: s1, s2.\n\nDefault is to normalize by maximum(abs, s1).\n\noptions\n\nmaxboth::Bool = false use max of both arguments to normalize\nnormalize::Bool = false normalize each before comparing\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_kspace_spiral-Tuple{}","page":"Methods","title":"MIRT.mri_kspace_spiral","text":"kspace, omega, gradxy = mri_kspace_spiral( [options] )\n\nMake k-space spiral trajectory based on GE 3T scanner constraints\n\nOption:\n\nN dimention of reconstructed image\nNt # of time points\nfov field of view in cm\ndt time sampling interval out; default 5e-6 sec\ngamp::Real design gradient amplitude max, G/cm; default 2.2\ngslew::Int design slew rate, mT/m/ms; default 180\n\nOut:\n\nkspace [Nt,2] kspace trajectory [kx ky] in cycles/cm, NO: cycles/FOV\nomega [Nt,2] \"\" in radians\ngradxy [Nt 2] gradient waveforms in (units?)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_trajectory-Union{Tuple{}, Tuple{D}} where D","page":"Methods","title":"MIRT.mri_trajectory","text":"kspace, omega, wi = mri_trajectory( ; ktype, N, fov, arg_wi, kwargs...)\n\nGenerate kspace trajectory samples and density compensation functions.\n\noption\n\nktype::Symbol k-space trajectory type; default :radial\nN::Dims target image size; default (32,30)\nfov field of view in x and y (and z); default (250,250) mm\narg_wi options to pass to ir_mri_density_comp - not yet done\nkwargs options for the specific trajectory\n\nout\n\nkspace [Nk 2|3] kspace samples in units 1/fov\nomega [Nk 2|3] trajectory samples over [-π,π)\nwi [Nk 1] (optional) density compensation factors\n\ntrajectory types:\n\n:cartesian\n:radial\n:cart_y_2\n:random\n:half8\n:epi_sin\n:spiral0 :spiral1 :spiral3\n:rosette3\n:epi_under\n:gads (emulate golden-angle data sharing per winkelmann:07:aor)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_trajectory_gads-Union{Tuple{Nring}, Tuple{Tuple{Vararg{Int64, N}} where N, Any}} where Nring","page":"Methods","title":"MIRT.mri_trajectory_gads","text":"omega, wi = mri_trajectory_gads(N, fov ; ...)\n\nEmulate 2D golden angle radial sampling with data sharing\n\noption\n\nNro # of samples in each readout/spoke\nshift shift along read-out due to gradient delays (stress)\nkmax_frac fractions of maximum krad (0.5) for rings (annuli)\nunder under-sampling factor for each annulus\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_trajectory_radial-Tuple{Tuple{Vararg{Int64, N}} where N, Any}","page":"Methods","title":"MIRT.mri_trajectory_radial","text":"mri_trajectory_radial()\n\noption\n\nna_nr default ensures proper sampling at edge of k-space\nna angular spokes; default: na_nr * nr\nnr radial samples per spoke\nir default: 0:nr\n\ntodo: generalize to 3D using barger:02:trc\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_trajectory_rosette3-Tuple{Any, Any}","page":"Methods","title":"MIRT.mri_trajectory_rosette3","text":"mri_trajectory_rosette3(N, fov ; ...)\n\n3d rosette, with default parameters from bucholz:08:miw\n\noption\n\nomax maximum omega\nnt time samples (65.536 ms for 4 usec dt)\ndt time sample spacing (4 usec)\nti time samples\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ncg-Tuple{AbstractVector, AbstractVector{<:Function}, AbstractVector{<:Function}, AbstractArray{<:Number}}","page":"Methods","title":"MIRT.ncg","text":"(x,out) = ncg(B, gradf, curvf, x0 ; ...)\n\nNonlinear preconditioned conjugate gradient algorithm to minimize a general \"inverse problem\" cost function of the form Psi(x) = sum_j=1^J f_j(B_j x) where each function f_j(v) has a quadratic majorizer of the form\n\nq_j(vu) = f_j(u) + nabla f_j(u) (v - u) + 12 v - u^2_C_j(u)\n\nwhere C_j(u) is diagonal matrix of curvatures. (It suffices for each f_j to have a Lipschitz smooth gradient.)\n\nThis CG method uses a majorize-minimize (MM) line search.\n\nin\n\nB vector of J blocks B_1B_J\ngradf vector of J functions return gradients of f_1f_J\ncurvf vector of J functions z -> curv(z) that return a scalar or a vector of curvature values for each element of z\nx0 initial guess; need length(x) == size(B[j],2) for j=1J\n\nUsually x0 is a Vector but it can be an Array if each B_j is a linear operator (e.g., LinearMapAO) of suitable \"dimensions\".\n\noption\n\nniter # number of outer iterations; default 50\nninner # number of inner iterations of MM line search; default 5\nP # preconditioner; default I\nbetahow \"beta\" method for the search direction; default :dai_yuan\nfun User-defined function to be evaluated with two arguments (x,iter).\nIt is evaluated at (x0,0) and then after each iteration.\n\noutput\n\nx final iterate\nout [niter+1] (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))\n(all 0 by default). This is an array of length niter+1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ncg-Tuple{Function, Function, AbstractArray{<:Number}}","page":"Methods","title":"MIRT.ncg","text":"(x,out) = ncg(grad, curv, x0, ...)\n\nSpecial case of ncg (nonlinear CG) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_eltype-Tuple{Type{<:Integer}}","page":"Methods","title":"MIRT.nufft_eltype","text":"nufft_eltype(::DataType)\n\nensure plan_nfft eltype is Float32 or Float64\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_errors-Tuple{}","page":"Methods","title":"MIRT.nufft_errors","text":"w, errs = nufft_errors( ; M=401, w=?, N=513, n_shift=0, ...)\n\nCompute NUFFT approximation errors (for signal of length N of unit norm), for given digital frequency values w, i.e., Ω. Default w is range(0, 2π/N, M).\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_init-Tuple{AbstractArray{<:Real}, Int64}","page":"Methods","title":"MIRT.nufft_init","text":"p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=0)\n\nSetup 1D NUFFT, for computing fast O(N log N) approximation to\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M\n\nin\n\nw::AbstractArray{<:Real} [M] frequency locations (aka Ω, units radians/sample)\neltype(w) determines the plan_nfft type; so to save memory use Float32!\nsize(w) determines odim for A if operator=true\nN::Int signal length\n\noption\n\nnfft_m::Int see NFFT.jl documentation; default 4\nnfft_sigma::Real \"\", default 2.0\nn_shift::Real often is N/2; default 0\npi_error::Bool throw error if w π, default true\nSet to false only if you are very sure of what you are doing!\ndo_many::Bool support extended inputs via map_many? default true\noperator::Bool=true set to false to make A an LinearMapAM\n\nout\n\np NamedTuple\n\n(nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A::LinearMapAO)\n\nThe default settings are such that for a 1D signal of length N=512, the worst-case error is below 1e-5 which is probably adequate for typical medical imaging applications. To verify this statement, run nufft_plot1() and see plot.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_init-Union{Tuple{D}, Tuple{AbstractArray{<:Real}, Tuple{Vararg{Int64, D}}}} where D","page":"Methods","title":"MIRT.nufft_init","text":"p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=?)\n\nSetup multi-dimensional NUFFT, for computing fast O(N log N) approximation to\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M\n\nin\n\nw::AbstractArray{<:Real} [M,D] frequency locations (aka Ω, units radians/sample)\neltype(w) determines the plan_nfft type; so to save memory use Float32!\nsize(w)[1:(end-1)] determines odim if operator=true\nN::Dims{D} signal dimensions\n\noption\n\nnfft_m::Int see NFFT.jl documentation; default 4\nnfft_sigma::Real \"\", default 2.0\nn_shift::AbstractVector{<:Real} (D) often is N/2; default zeros(D)\npi_error::Bool throw error if w π, default true\nSet to false only if you are very sure of what you are doing!\ndo_many::Bool support extended inputs via map_many? default true\noperator::Bool=true set to false to make A a LinearMapAM\n\nThe default do_many option is designed for parallel MRI where the k-space sampling pattern applies to every coil. It may also be useful for dynamic MRI with repeated sampling patterns. The coil and/or time dimensions must come after the spatial dimensions.\n\nout\n\np NamedTuple with fields nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A=LinearMapAO (Using operator=true allows the LinearMapAO to support do_many.)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_typer-Union{Tuple{T}, Tuple{Type{T}, T}} where T","page":"Methods","title":"MIRT.nufft_typer","text":"nufft_typer(T::DataType, x::AbstractArray{<:Real} ; warn::Bool=true)\n\ntype conversion wrapper for nfft()\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ogm_ls-Tuple{AbstractVector, AbstractVector{<:Function}, AbstractVector{<:Function}, AbstractArray{<:Number}}","page":"Methods","title":"MIRT.ogm_ls","text":"(x,out) = ogm_ls(B, gradf, curvf, x0; niter=?, ninner=?, fun=?)\n\nOGM with a line search Drori&Taylor to minimize a general \"inverse problem\" cost function of the form Psi(x) = sum_j=1^J f_j(B_j x) where each function f_j(v) has a quadratic majorizer of the form\n\nq_j(vu) = f_j(u) + nabla f_j(u) (v - u) + 12 v - u^2_C_j(u)\n\nwhere C_j(u) is diagonal matrix of curvatures. (It suffices for each f_j to have a Lipschitz smooth gradient.)\n\nThis OGM method uses a majorize-minimize (MM) line search.\n\nin\n\nB vector of J blocks B_1B_J\ngradf vector of J functions return gradients of f_1f_J\ncurvf vector of J functions z -> curv(z) that return a scalar or a vector of curvature values for each element of z\nx0 initial guess; need length(x) == size(B[j],2) for j=1J\n\noption\n\nniter # number of outer iterations; default 50\nninner # number of inner iterations of MM line search; default 5\nfun User-defined function to be evaluated with two arguments (x,iter).\nIt is evaluated at (x0,0) and then after each iteration.\n\noutput\n\nx final iterate\nout (niter+1) (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))\n(all 0 by default). This is a vector of length niter+1.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ogm_ls-Tuple{Function, Function, AbstractVector{<:Number}}","page":"Methods","title":"MIRT.ogm_ls","text":"(x,out) = ogm_ls(grad, curv, x0, ...)\n\nSpecial case of ogm_ls (OGM with line search) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.pogm_restart-Tuple{Any, Function, Function, Real}","page":"Methods","title":"MIRT.pogm_restart","text":"x, out = pogm_restart(x0, Fcost, f_grad, f_L ;\nf_mu=0, mom=:pogm, restart=:gr, restart_cutoff=0.,\nbsig=1, niter=10, g_prox=(z,c)->z, fun=...)\n\nIterative proximal algorithms (PGM=ISTA, FPGM=FISTA, POGM) with restart.\n\nin\n\nx0 initial guess\nFcost function for computing the cost function value F(x)\n(needed only if restart === :fr)\nf_grad function for computing the gradient of f(x)\nf_L Lipschitz constant of the gradient of f(x)\n\noption\n\nf_mu strong convexity parameter of f(x); default 0.\nif f_mu > 0, (alpha beta_k gamma_k) is chosen by Table 1 in [KF18]\ng_prox function g_prox(z,c) for the proximal operator for g(x)\ng_prox(z,c) computes argmin_x 12 z-x^2 + c g(x)\nmom momentum option\n:pogm POGM (fastest); default!\n:fpgm (FISTA), gamma_k = 0\n:pgm PGM (ISTA), beta_k = gamma_k = 0\nrestart restart option\n:gr gradient restart; default!\n:fr function restart\n:none no restart\nrestart_cutoff for :gr restart if cos(angle) < this; default 0.\nbsig gradient \"gamma\" decrease option (value within [0 1]); default 1\nsee barsigma in [KF18]\nniter number of iterations; default 10\nfun function(iter, xk, yk, is_restart) user-defined function evaluated each iter with secondary xk, primary yk, and boolean is_restart indicating whether this iteration was a restart\n\nout\n\nx final iterate\nfor PGM (ISTA): x_N = y_N\nfor FPGM (FISTA): primary iterate y_N\nfor POGM: secondary iterate x_N, see [KF18]\nout [fun(0, x0, x0, false), fun(1, x1, y1, is_restart), ...] array of length [niter+1]\n\nOptimization Problem: Nonsmooth Composite Convex Minimization\n\nargmin_x F(x) F(x) = f(x) + g(x))\nf(x) smooth convex function\ng(x) convex function, possibly nonsmooth and \"proximal-friendly\" [CP11]\n\nOptimization Algorithms:\n\nAccelerated First-order Algorithms when g(x) = 0 [KF18] iterate as below for given coefficients (alpha beta_k gamma_k)\n\nFor k = 0,1,...\ny_k+1 = x_k - alpha f(x_k) : gradient update\nx_k+1 = y_k+1 + beta_k (y_k+1 - y_k) + gamma_k (y_k+1 - x_k) : momentum update\n\nProximal versions of the above for g(x) neq 0 are in the below references, and use the proximal operater prox_g(z) = argmin_x 12z-x^2 + g(x).\n\nProximal Gradient method (PGM or ISTA) - beta_k = gamma_k = 0. [BT09]\nFast Proximal Gradient Method (FPGM or FISTA) - gamma_k = 0. [BT09]\nProximal Optimized Gradient Method (POGM) - [THG15]\nFPGM(FISTA) with Restart - [OC15]\nPOGM with Restart - [KF18]\n\nreferences\n\n[CP11] P. L. Combettes, J. C. Pesquet,\n\n\"Proximal splitting methods in signal processing,\" Fixed-Point Algorithms for Inverse Problems in Science and Engineering, Springer, Optimization and Its Applications, 2011.\n\n[KF18] D. Kim, J.A. Fessler,\n\n\"Adaptive restart of the optimized gradient method for convex optimization,\" 2018 Arxiv:1703.04641, [http://doi.org/10.1007/s10957-018-1287-4]\n\n[BT09] A. Beck, M. Teboulle:\n\n\"A fast iterative shrinkage-thresholding algorithm for linear inverse problems,\" SIAM J. Imaging Sci., 2009.\n\n[THG15] A.B. Taylor, J.M. Hendrickx, F. Glineur,\n\n\"Exact worst-case performance of first-order algorithms for composite convex optimization,\" Arxiv:1512.07516, 2015, SIAM J. Opt. 2017 [http://doi.org/10.1137/16m108104x]\n\nCopyright 2017-3-31, Donghwan Kim and Jeff Fessler, University of Michigan 2018-08-13 Julia 0.7.0 2019-02-24 interface redesign\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.poweriter-Tuple{Any}","page":"Methods","title":"MIRT.poweriter","text":"v1,σ1 = poweriter(A; niter=?, ...)\n\nDetermine first right singular vector v1 and first singular value σ1 of A by applying power iteration to A'A\n\nin\n\nA M × N matrix\n\noption\n\nniter default 200\nx0 initial guess of v1\ntol stopping tolerance for s1, default 1e-6\nchat::Bool verbose? default false\n\nout\n\nv1 [N] principal right singular vector\nσ1 spectral norm of A\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.rect-Tuple{Real}","page":"Methods","title":"MIRT.rect","text":"rect(x::Real)\n\nUnit width rect function. Potential problem? Bring up with fess.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.reverser-Tuple{AbstractArray, AbstractVector{<:Int64}}","page":"Methods","title":"MIRT.reverser","text":"y = reverser(x, dims)\n\nreverse array along specified dimensions (or all if unspecified)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.rmsd100-Tuple{AbstractArray{<:Number}, AbstractArray{<:Number}}","page":"Methods","title":"MIRT.rmsd100","text":"rmsd = rmsd100(x, y ; mask)\n\nCompute 100 * RMSD (root mean squared difference) between x and y within domain mask.\n\nin\n\nx : array\ny : another array of same size\n\noption\n\nmask::Array{Bool} : domain over which to compute the RMSE; default trues(size(x))\n\nout\n\nrmsd : rmsd of x vs y within mask in %\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.rotate2d-Tuple{Any, Any, Any}","page":"Methods","title":"MIRT.rotate2d","text":"(xr,yr) = rotate2d(x, y, theta)\n\n2D rotation\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.snr2sigma-Tuple{Any, AbstractArray{<:Complex}}","page":"Methods","title":"MIRT.snr2sigma","text":"snr2sigma(db, yb)\n\nConvert SNR in dB to noise σ for complex gaussian noise. No sqrt(2) factors is needed here because randn(Complex{Float}) already accounts for that. (See randn documentation.)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.@shows-Tuple{Any}","page":"Methods","title":"MIRT.@shows","text":"@shows expr\n\nShow the type and size of an expression expr (typically a variable).\n\nMore concise output than @show and typically this is all that is needed when debugging code.\n\n\n\n\n\n","category":"macro"},{"location":"#MIRT:-The-Michigan-Image-Reconstruction-Toolbox","page":"Home","title":"MIRT: The Michigan Image Reconstruction Toolbox","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"MIRT.jl is a collection of Julia functions for performing image reconstruction and solving related inverse problems.","category":"page"},{"location":"","page":"Home","title":"Home","text":"It is very much still under construction, although there are already enough tools to solve useful problems like compressed sensing MRI reconstruction. Trying the demos is a good way to get started.","category":"page"},{"location":"","page":"Home","title":"Home","text":"The documentation is even more still under construction.","category":"page"},{"location":"","page":"Home","title":"Home","text":"More complete examples are at JuliaImageRecon; see Examples there.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"EditURL = \"https://github.com/JeffFessler/MIRT.jl/blob/main/docs/lit/examples/3-ls-mm.jl\"","category":"page"},{"location":"generated/examples/3-ls-mm/#ls-mm","page":"Line search MM","title":"Line search MM","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Examples illustrating the line-search method based on majorize-minimize (MM) principles in the Julia package MIRT. This method is probably most useful for algorithm developers.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This page comes from a single Julia file: 3-ls-mm.jl.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"You can access the source code for such Julia documentation using the 'Edit on GitHub' link in the top right. You can view the corresponding notebook in nbviewer here: 3-ls-mm.ipynb, or open it in binder here: 3-ls-mm.ipynb.","category":"page"},{"location":"generated/examples/3-ls-mm/#Setup","page":"Line search MM","title":"Setup","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Packages needed here.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"using Plots; default(markerstrokecolor = :auto, label=\"\")\nusing MIRTjim: prompt\nusing MIRT: line_search_mm, LineSearchMMWork\nusing LineSearches: BackTracking, HagerZhang, MoreThuente\nusing LinearAlgebra: norm, dot\nusing Random: seed!; seed!(0)\nusing BenchmarkTools: @btime, @benchmark\nusing InteractiveUtils: versioninfo","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The following line is helpful when running this file as a script; this way it will prompt user to hit a key after each figure is displayed.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"isinteractive() && prompt(:prompt);\nnothing #hide","category":"page"},{"location":"generated/examples/3-ls-mm/#Theory","page":"Line search MM","title":"Theory","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Many methods for solving inverse problems involve optimization problems of the form","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"hatx = argmin_x mathbbF^N f(x)\nqquad\nf(x) = sum_j=1^J f_j(B_j x)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"where mathbbF denotes the field of real or complex numbers, matrix B_j has size M_j N, and f_j mathbbF^M_j mathbbR.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"One could apply general-purpose optimization methods here, like those in Optim.jl, but often we can obtain faster results by exploiting the specific (yet still fairly general) structure, particularly when the problem dimension N is large.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Many algorithms for solving such problems require an inner 1D optimization problem called a line search of the form","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"α_* = argmin_α mathbbR h(α)\nqquad\nh(α) = f(x + α d)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"for some search direction d. There are general purpose line search algorithms in LineSearches.jl, but here we focus on the specific form of f given above.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"For that form we see that we have the special structure","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"h(α) = sum_j=1^J f_j(u_j + α v_j)\nqquad\nu_j = B_j x\nquad\nv_j = B_j d","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Here we focus further on the case where each function f_j() has a quadratic majorizer of the form","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"f_j(x) q_j(xz) = f_j(z) + textreal( f_j(z) x - z )\n+ frac12 (x - z) D_j(z) (x - z)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"where D_j(z) is a positive semidefinite matrix that typically is diagonal. Often it is a constant times the identity matrix, e.g., a Lipschitz constant for f_j, but often there are sharper majorizers.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Such quadratic majorizers induce a quadratic majorizer for h(α) as well:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"h(α) q(α α_t) =\nsum_j=1^J q_j(u_j + α v_j u_j + α_t v_j)\n= h(α_t) + c_1(α_t) (α - α_t)\n+ frac12 c_2(α_t) (α - α_t)^2","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"where","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"c_1(α_t) = sum_j=1^J textreal( f_j(u_j + α_t v_j) v_j )\nqquad\nc_2(α_t) = sum_j=1^J v_j D_j(u_j + α_t v_j) v_j","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The line_search_mm function in this package uses this quadratic majorizer to update α using the iteration","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"α_t+1\n= argmin_α q(αα_t)\n= α_t - c_1(α_t) c_2(α_t)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Being an MM algorithm, it is guaranteed to decrease h(α) every update. For an early exposition of this approach, see Fessler & Booth, 1999.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"From the above derivation, the main ingredients needed are functions for computing the dot products f_j(u_j + α_t v_j) v_j and v_j D_j(u_j + α_t v_j) v_j.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The line_search_mm function can construct such functions given input gradient functions f_1f_J and curvature functions ω_1ω_J where D_j(z) = textDiag(ω_j(z)).","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Alternatively, the user can provide functions for computing the dot products.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"All of this is best illustrated by an example.","category":"page"},{"location":"generated/examples/3-ls-mm/#Smooth-LASSO-problem","page":"Line search MM","title":"Smooth LASSO problem","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The usual LASSO optimization problem uses the cost function","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"f(x) = frac12 A x - y _2^2 + β R(x)\nqquad\nR(x) = x _1 = sum_n=1^N x_n = 1 textabs(x)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The 1-norm is just a relaxation of the 0-norm so here we further \"relax\" it by considering the \"corner rounded\" version using the Fair potential function","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"R(x) = sum_n=1^N ψ(x_n) = 1 ψ(x)\nqquad\nψ(z) = δ^2 zδ - log(1 + zδ)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"for a small value of δ.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The derivative of this potential function is dotψ(z) = z (1 + z δ) and Huber's curvature ω_ψ(z) = 1 (1 + z δ) provides a suitable majorizer.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This smooth LASSO cost function has the general form above with J=2, B_1 = A, B_2 = I, f_1(u) = frac12 u - y _2^2 f_2(u) = β 1 ψ(u) for which f_1(u) = u - y f_2(u) = β ψ(u) and ^2 f_1(u) = I ^2 f_2(u) succeq β textdiag(ω_ψ(u))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Set up an example and plot h(α).","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Fair potential, its derivative and Huber weighting function:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"function fair_pot()\n fpot(z,δ) = δ^2 * (abs(z/δ) - log(1 + abs(z/δ)))\n dpot(z,δ) = z / (1 + abs(z/δ))\n wpot(z,δ) = 1 / (1 + abs(z/δ))\n return fpot, dpot, wpot\nend;\nnothing #hide","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Data, cost function and gradients for smooth LASSO problem:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"M, N = 1000, 2000\nA = randn(M,N)\nx0 = randn(N) .* (rand(N) .< 0.4) # sparse vector\ny = A * x0 + 0.001 * randn(M)\nβ = 95\nδ = 0.1\nfpot, dpot, wpot = Base.Fix2.(fair_pot(), δ)\n\nf(x) = 0.5 * norm(A * x - y)^2 + β * sum(fpot, x)\n∇f(x) = A' * (A * x - y) + β * dpot.(x)\nx = randn(N) # random point\nd = -∇f(x)/M # some search direction\nh(α) = f(x + α * d)\ndh(α) = d' * ∇f(x + α * d)\npa = plot(h, xlabel=\"α\", ylabel=\"h(α)\", xlims=(-1, 2))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Apply MM-based line search: simple version. The key inputs are the gradient and curvature functions:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"gradf = [\n u -> u - y, # ∇f₁ for data-fit term\n u -> β * dpot.(u), # ∇f₂ for regularizer\n]\ncurvf = [\n 1, # curvature for data-fit term\n u -> β * wpot.(u), # Huber curvature for regularizer\n]\n\nuu = [A * x, x] # [u₁ u₂]\nvv = [A * d, d] # [v₁ v₂]\nfun(state) = state.α # log this\nninner = 7\nout = Vector{Any}(undef, ninner+1)\nα0 = 0\nαstar = line_search_mm(gradf, curvf, uu, vv; ninner, out, fun, α0)\nhmin = h(αstar)\nscatter!([αstar], [hmin], marker=:star, color=:red)\nscatter!([α0], [h(α0)], marker=:circle, color=:green)\nps = plot(0:ninner, out, marker=:circle, xlabel=\"iteration\", ylabel=\"α\",\n color = :green)\npd = plot(0:ninner, abs.(dh.(out)), marker=:diamond,\n yaxis = :log, color=:red,\n xlabel=\"iteration\", ylabel=\"|dh(α)|\")\npu = plot(1:ninner, log10.(max.(abs.(diff(out)), 1e-16)), marker=:square,\n color=:blue, xlabel=\"iteration\", ylabel=\"log10(|α_k - α_{k-1}|)\")\nplot(pa, ps, pd, pu)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Thanks to Huber's curvatures, the α_t sequence converges very quickly.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Now explore a fancier version that needs less heap memory.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"work = LineSearchMMWork(uu, vv, α0) # pre-allocate\nfunction lsmm1(gradf, curvf)\n return line_search_mm(gradf, curvf, uu, vv;\n ninner, out, fun, α0, work)\nend\nfunction lsmm2(dot_gradf, dot_curvf)\n gradn = [() -> nothing, () -> nothing]\n return line_search_mm(uu, vv, dot_gradf, dot_curvf;\n ninner, out, fun, α0, work)\nend;\nnothing #hide","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The let statements below are a performance trick from the Julia manual. Using Iterators.map avoids allocating arrays like z - y and does not even require any work space.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"gradz = [\n let y=y; z -> Iterators.map(-, z, y); end, # z - y\n let β=β, dpot=dpot; z -> Iterators.map(z -> β * dpot(z), z); end, # β * dψ.(z)\n]\ncurvz = [\n 1,\n let β=β, wpot=wpot; z -> Iterators.map(z -> β * wpot(z), z); end, # β * ωψ.(z)\n]\n\nfunction make_grad1c()\n w = similar(uu[1]) # work-space\n let w=w, y=y\n function grad1c(z)\n @. w = z - y\n return w\n end\n end\nend\n\nfunction make_grad2c()\n w = similar(uu[2]) # work-space\n let w=w, β=β, dpot=dpot\n function grad2c(z)\n @. w = β * dpot(z)\n return w\n end\n end\nend\n\nfunction make_curv2c()\n w = similar(uu[2]) # work-space\n let w=w, β=β, wpot=wpot\n function curv2c(z)\n @. w = β * wpot(z) # β * ωψ.(z)\n return w\n end\n end\nend\n\ngradc = [ # capture version\n make_grad1c(), # z - y\n make_grad2c(), # β * dψ.(z)\n]\ncurvc = [\n 1,\n make_curv2c(), # β * ωψ.(z)\n]\n\nsum_map(f::Function, args...) = sum(Iterators.map(f, args...))\ndot_gradz = [\n let y=y; (v,z) -> sum_map((v,z,y) -> dot(v, z - y), v, z, y); end, # v'(z - y)\n let β=β, dpot=dpot; (v,z) -> β * sum_map((v,z) -> dot(v, dpot(z)), v, z); end, # β * (v'dψ.(z))\n]\ndot_curvz = [\n (v,z) -> norm(v)^2,\n let β=β, wpot=wpot; (v,z) -> β * sum_map((v,z) -> abs2(v) * wpot(z), v, z); end, # β * (abs2.(v)'ωψ.(z))\n]\n\n\na1 = lsmm1(gradf, curvf)\na1c = lsmm1(gradc, curvc)\na2 = lsmm1(gradz, curvz)\na3 = lsmm2(dot_gradz, dot_curvz)\n@assert a1 ≈ a2 ≈ a3 ≈ a1c\n\nb1 = @benchmark a1 = lsmm1($gradf, $curvf)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"bc = @benchmark a1c = lsmm1($gradc, $curvc)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"b2 = @benchmark a2 = lsmm1($gradz, $curvz)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"b3 = @benchmark a3 = lsmm2($dot_gradz, $dot_curvz)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Timing results on my Mac:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"95 μs\n65 μs # 1c after using make_\n80 μs\n69 μs (and lowest memory)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The versions using gradc and dot_gradz with their \"properly captured\" variables are the fastest. But all the versions here are pretty similar so even using the simplest version seems likely to be fine.","category":"page"},{"location":"generated/examples/3-ls-mm/#Compare-with-LineSearches.jl","page":"Line search MM","title":"Compare with LineSearches.jl","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Was all this specialized effort useful? Let's compare to the general line search methods in LineSearches.jl.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"It seems that some of those methods do not allow α₀ = 0 so we use 1.0 instead. We use the default arguments for all the solvers, which means some of them might terminate before ninner iterations, giving them a potential speed advantage.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"a0 = 1.0 # α0\nhdh(α) = h(α), dh(α)\nh0 = h(0)\ndh0 = dh(0);\nfunction ls_ls(linesearch)\n a1, fx = linesearch(h, dh, hdh, a0, h0, dh0)\n return a1\nend;\n\nsolvers = [\n BackTracking( ; iterations = ninner),\n HagerZhang( ; linesearchmax = ninner),\n MoreThuente( ; maxfev = ninner),\n]\nfor ls in solvers # check that they work properly\n als = ls_ls(ls)\n @assert isapprox(als, αstar; atol=1e-3)\nend;\nnothing #hide","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"bbt = @benchmark ls_ls($(solvers[1]))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"bhz = @benchmark ls_ls($(solvers[2]))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"bmt = @benchmark ls_ls($(solvers[3]))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"On my Mac the timings are all much longer compared to line_search_mm:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"840 μs BackTracking\n2.6 ms HagerZhang\n3.9 ms MoreThuente","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This comparison illustrates the benefit of the \"special purpose\" line search.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The fastest version seems to be BackTracking, so plot its iterates:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"alpha_bt = zeros(ninner + 1)\nalpha_bt[1] = a0\nfor iter in 1:ninner\n tmp = BackTracking( ; iterations = iter)\n alpha_bt[iter+1] = ls_ls(tmp)\nend\nplot(0:ninner, alpha_bt, marker=:square, color=:blue,\n xlabel=\"Iteration\", ylabel=\"BackTracking α\")\nplot!([0, ninner], [1,1] * αstar, color=:red)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Unexpectedly, BackTracking seems to terminate at the first iteration. But even just that single iteration is slower than 7 iterations of line_search_mm.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"prompt()","category":"page"},{"location":"generated/examples/3-ls-mm/#Reproducibility","page":"Line search MM","title":"Reproducibility","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This page was generated with the following version of Julia:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"using InteractiveUtils: versioninfo\nio = IOBuffer(); versioninfo(io); split(String(take!(io)), '\\n')","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"And with the following package versions","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"import Pkg; Pkg.status()","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This page was generated using Literate.jl.","category":"page"}] +} diff --git a/previews/PR129/siteinfo.js b/previews/PR129/siteinfo.js new file mode 100644 index 00000000..a02c476c --- /dev/null +++ b/previews/PR129/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "previews/PR129"; diff --git a/stable b/stable new file mode 120000 index 00000000..46831206 --- /dev/null +++ b/stable @@ -0,0 +1 @@ +v0.18.1 \ No newline at end of file diff --git a/v0.18 b/v0.18 new file mode 120000 index 00000000..46831206 --- /dev/null +++ b/v0.18 @@ -0,0 +1 @@ +v0.18.1 \ No newline at end of file diff --git a/v0.18.0/.documenter-siteinfo.json b/v0.18.0/.documenter-siteinfo.json new file mode 100644 index 00000000..b3bad230 --- /dev/null +++ b/v0.18.0/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.10.3","generation_timestamp":"2024-05-18T03:31:25","documenter_version":"1.4.1"}} \ No newline at end of file diff --git a/v0.18.0/assets/custom.css b/v0.18.0/assets/custom.css new file mode 100644 index 00000000..31e65493 --- /dev/null +++ b/v0.18.0/assets/custom.css @@ -0,0 +1,3 @@ +.docs-sourcelink { + opacity:1 !important; +} diff --git a/v0.18.0/assets/documenter.js b/v0.18.0/assets/documenter.js new file mode 100644 index 00000000..c6562b55 --- /dev/null +++ b/v0.18.0/assets/documenter.js @@ -0,0 +1,1050 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.13.2/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let timer = 0; +var isExpanded = true; + +$(document).on("click", ".docstring header", function () { + let articleToggleTitle = "Expand docstring"; + + debounce(() => { + if ($(this).siblings("section").is(":visible")) { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + articleToggleTitle = "Collapse docstring"; + } + + $(this) + .find(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + $(this).siblings("section").slideToggle(); + }); +}); + +$(document).on("click", ".docs-article-toggle-button", function (event) { + let articleToggleTitle = "Expand docstring"; + let navArticleToggleTitle = "Expand all docstrings"; + let animationSpeed = event.noToggleAnimation ? 0 : 400; + + debounce(() => { + if (isExpanded) { + $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + + isExpanded = false; + + $(".docstring section").slideUp(animationSpeed); + } else { + $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + isExpanded = true; + articleToggleTitle = "Collapse docstring"; + navArticleToggleTitle = "Collapse all docstrings"; + + $(".docstring section").slideDown(animationSpeed); + } + + $(this).prop("title", navArticleToggleTitle); + $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + }); +}); + +function debounce(callback, timeout = 300) { + if (Date.now() - timer > timeout) { + callback(); + } + + clearTimeout(timer); + + timer = Date.now(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fa-solid", "fa-copy"); + button.setAttribute("aria-label", "Copy this code block"); + button.setAttribute("title", "Copy"); + + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-xmark"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-xmark"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function () { + $("#documenter .docs-navbar").headroom({ + tolerance: { up: 10, down: 10 }, + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let meta = $("div[data-docstringscollapsed]").data(); + + if (meta?.docstringscollapsed) { + $("#documenter-article-toggle-button").trigger({ + type: "click", + noToggleAnimation: true, + }); + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +/* +To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc + +PSEUDOCODE: + +Searching happens automatically as the user types or adjusts the selected filters. +To preserve responsiveness, as much as possible of the slow parts of the search are done +in a web worker. Searching and result generation are done in the worker, and filtering and +DOM updates are done in the main thread. The filters are in the main thread as they should +be very quick to apply. This lets filters be changed without re-searching with minisearch +(which is possible even if filtering is on the worker thread) and also lets filters be +changed _while_ the worker is searching and without message passing (neither of which are +possible if filtering is on the worker thread) + +SEARCH WORKER: + +Import minisearch + +Build index + +On message from main thread + run search + find the first 200 unique results from each category, and compute their divs for display + note that this is necessary and sufficient information for the main thread to find the + first 200 unique results from any given filter set + post results to main thread + +MAIN: + +Launch worker + +Declare nonconstant globals (worker_is_running, last_search_text, unfiltered_results) + +On text update + if worker is not running, launch_search() + +launch_search + set worker_is_running to true, set last_search_text to the search text + post the search query to worker + +on message from worker + if last_search_text is not the same as the text in the search field, + the latest search result is not reflective of the latest search query, so update again + launch_search() + otherwise + set worker_is_running to false + + regardless, display the new search results to the user + save the unfiltered_results as a global + update_search() + +on filter click + adjust the filter selection + update_search() + +update_search + apply search filters by looping through the unfiltered_results and finding the first 200 + unique results that match the filters + + Update the DOM +*/ + +/////// SEARCH WORKER /////// + +function worker_function(documenterSearchIndex, documenterBaseURL, filters) { + importScripts( + "https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min.js" + ); + + let data = documenterSearchIndex.map((x, key) => { + x["id"] = key; // minisearch requires a unique for each object + return x; + }); + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + const stopWords = new Set([ + "a", + "able", + "about", + "across", + "after", + "almost", + "also", + "am", + "among", + "an", + "and", + "are", + "as", + "at", + "be", + "because", + "been", + "but", + "by", + "can", + "cannot", + "could", + "dear", + "did", + "does", + "either", + "ever", + "every", + "from", + "got", + "had", + "has", + "have", + "he", + "her", + "hers", + "him", + "his", + "how", + "however", + "i", + "if", + "into", + "it", + "its", + "just", + "least", + "like", + "likely", + "may", + "me", + "might", + "most", + "must", + "my", + "neither", + "no", + "nor", + "not", + "of", + "off", + "often", + "on", + "or", + "other", + "our", + "own", + "rather", + "said", + "say", + "says", + "she", + "should", + "since", + "so", + "some", + "than", + "that", + "the", + "their", + "them", + "then", + "there", + "these", + "they", + "this", + "tis", + "to", + "too", + "twas", + "us", + "wants", + "was", + "we", + "were", + "what", + "when", + "who", + "whom", + "why", + "will", + "would", + "yet", + "you", + "your", + ]); + + let index = new MiniSearch({ + fields: ["title", "text"], // fields to index for full-text search + storeFields: ["location", "title", "text", "category", "page"], // fields to return with results + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + + word = word.toLowerCase(); + } + + return word ?? null; + }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not + // find anything if searching for "add!", only for the entire qualification + tokenize: (string) => string.split(/[\s\-\.]+/), + // options which will be applied during the search + searchOptions: { + prefix: true, + boost: { title: 100 }, + fuzzy: 2, + }, + }); + + index.addAll(data); + + /** + * Used to map characters to HTML entities. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const htmlEscapes = { + "&": "&", + "<": "<", + ">": ">", + '"': """, + "'": "'", + }; + + /** + * Used to match HTML entities and HTML characters. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const reUnescapedHtml = /[&<>"']/g; + const reHasUnescapedHtml = RegExp(reUnescapedHtml.source); + + /** + * Escape function from lodash + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + function escape(string) { + return string && reHasUnescapedHtml.test(string) + ? string.replace(reUnescapedHtml, (chr) => htmlEscapes[chr]) + : string || ""; + } + + /** + * Make the result component given a minisearch result data object and the value + * of the search input as queryString. To view the result object structure, refer: + * https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ + function make_search_result(result, querystring) { + let search_divider = `
      `; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } + + let textindex = new RegExp(`${querystring}`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + text = text.length ? escape(text) : ""; + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`${escape(querystring)}`, "i"), // For first occurrence + '$&' + ) + + "..." + : ""; // highlights the match + + let in_code = false; + if (!["page", "section"].includes(result.category.toLowerCase())) { + in_code = true; + } + + // We encode the full url to escape some special characters which can lead to broken links + let result_div = ` + +
      +
      ${escape(result.title)}
      +
      ${result.category}
      +
      +

      + ${display_result} +

      +
      + ${display_link} +
      +       + ${search_divider} + `; + + return result_div; + } + + self.onmessage = function (e) { + let query = e.data; + let results = index.search(query, { + filter: (result) => { + // Only return relevant results + return result.score >= 1; + }, + }); + + // Pre-filter to deduplicate and limit to 200 per category to the extent + // possible without knowing what the filters are. + let filtered_results = []; + let counts = {}; + for (let filter of filters) { + counts[filter] = 0; + } + let present = {}; + + for (let result of results) { + cat = result.category; + cnt = counts[cat]; + if (cnt < 200) { + id = cat + "---" + result.location; + if (present[id]) { + continue; + } + present[id] = true; + filtered_results.push({ + location: result.location, + category: cat, + div: make_search_result(result, query), + }); + } + } + + postMessage(filtered_results); + }; +} + +// `worker = Threads.@spawn worker_function(documenterSearchIndex)`, but in JavaScript! +const filters = [ + ...new Set(documenterSearchIndex["docs"].map((x) => x.category)), +]; +const worker_str = + "(" + + worker_function.toString() + + ")(" + + JSON.stringify(documenterSearchIndex["docs"]) + + "," + + JSON.stringify(documenterBaseURL) + + "," + + JSON.stringify(filters) + + ")"; +const worker_blob = new Blob([worker_str], { type: "text/javascript" }); +const worker = new Worker(URL.createObjectURL(worker_blob)); + +/////// SEARCH MAIN /////// + +// Whether the worker is currently handling a search. This is a boolean +// as the worker only ever handles 1 or 0 searches at a time. +var worker_is_running = false; + +// The last search text that was sent to the worker. This is used to determine +// if the worker should be launched again when it reports back results. +var last_search_text = ""; + +// The results of the last search. This, in combination with the state of the filters +// in the DOM, is used compute the results to display on calls to update_search. +var unfiltered_results = []; + +// Which filter is currently selected +var selected_filter = ""; + +$(document).on("input", ".documenter-search-input", function (event) { + if (!worker_is_running) { + launch_search(); + } +}); + +function launch_search() { + worker_is_running = true; + last_search_text = $(".documenter-search-input").val(); + worker.postMessage(last_search_text); +} + +worker.onmessage = function (e) { + if (last_search_text !== $(".documenter-search-input").val()) { + launch_search(); + } else { + worker_is_running = false; + } + + unfiltered_results = e.data; + update_search(); +}; + +$(document).on("click", ".search-filter", function () { + if ($(this).hasClass("search-filter-selected")) { + selected_filter = ""; + } else { + selected_filter = $(this).text().toLowerCase(); + } + + // This updates search results and toggles classes for UI: + update_search(); +}); + +/** + * Make/Update the search component + */ +function update_search() { + let querystring = $(".documenter-search-input").val(); + + if (querystring.trim()) { + if (selected_filter == "") { + results = unfiltered_results; + } else { + results = unfiltered_results.filter((result) => { + return selected_filter == result.category.toLowerCase(); + }); + } + + let search_result_container = ``; + let modal_filters = make_modal_body_filters(); + let search_divider = `
      `; + + if (results.length) { + let links = []; + let count = 0; + let search_results = ""; + + for (var i = 0, n = results.length; i < n && count < 200; ++i) { + let result = results[i]; + if (result.location && !links.includes(result.location)) { + search_results += result.div; + count++; + links.push(result.location); + } + } + + if (count == 1) { + count_str = "1 result"; + } else if (count == 200) { + count_str = "200+ results"; + } else { + count_str = count + " results"; + } + let result_count = `
      ${count_str}
      `; + + search_result_container = ` +
      + ${modal_filters} + ${search_divider} + ${result_count} +
      + ${search_results} +
      +
      + `; + } else { + search_result_container = ` +
      + ${modal_filters} + ${search_divider} +
      0 result(s)
      +
      +
      No result found!
      + `; + } + + if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").removeClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(search_result_container); + } else { + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(` +
      Type something to get started!
      + `); + } +} + +/** + * Make the modal filter html + * + * @returns string + */ +function make_modal_body_filters() { + let str = filters + .map((val) => { + if (selected_filter == val.toLowerCase()) { + return `${val}`; + } else { + return `${val}`; + } + }) + .join(""); + + return ` +
      + Filters: + ${str} +
      `; +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function () { + var settings = $("#documenter-settings"); + $("#documenter-settings-button").click(function () { + settings.toggleClass("is-active"); + }); + // Close the dialog if X is clicked + $("#documenter-settings button.delete").click(function () { + settings.removeClass("is-active"); + }); + // Close dialog if ESC is pressed + $(document).keyup(function (e) { + if (e.keyCode == 27) settings.removeClass("is-active"); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let search_modal_header = ` +
      +
      +

      + + + + +

      +
      +
      + +
      +
      + `; + + let initial_search_body = ` +
      Type something to get started!
      + `; + + let search_modal_footer = ` +
      + + Ctrl + + / to search + + esc to close +
      + `; + + $(document.body).append( + ` + + ` + ); + + document.querySelector(".docs-search-query").addEventListener("click", () => { + openModal(); + }); + + document + .querySelector(".close-search-modal") + .addEventListener("click", () => { + closeModal(); + }); + + $(document).on("click", ".search-result-link", function () { + closeModal(); + }); + + document.addEventListener("keydown", (event) => { + if ((event.ctrlKey || event.metaKey) && event.key === "/") { + openModal(); + } else if (event.key === "Escape") { + closeModal(); + } + + return false; + }); + + // Functions to open and close a modal + function openModal() { + let searchModal = document.querySelector("#search-modal"); + + searchModal.classList.add("is-active"); + document.querySelector(".documenter-search-input").focus(); + } + + function closeModal() { + let searchModal = document.querySelector("#search-modal"); + let initial_search_body = ` +
      Type something to get started!
      + `; + + searchModal.classList.remove("is-active"); + document.querySelector(".documenter-search-input").blur(); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".documenter-search-input").val(""); + $(".search-modal-card-body").html(initial_search_body); + } + + document + .querySelector("#search-modal .modal-background") + .addEventListener("click", () => { + closeModal(); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function () { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button"); + sidebar_button.click(function (ev) { + ev.preventDefault(); + sidebar.toggleClass("visible"); + if (sidebar.hasClass("visible")) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind("click", function (ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass("visible")) { + sidebar.removeClass("visible"); + } + }); +}); + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function () { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css("max-width"), 10); + var L0 = e.width(); + if (L0 > L) { + var h0 = parseInt(e.css("font-size"), 10); + e.css("font-size", (L * h0) / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on("orientationchange", resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function () { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if (typeof active !== "undefined") { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Theme picker setup +$(document).ready(function () { + // onchange callback + $("#documenter-themepicker").change(function themepick_callback(ev) { + var themename = $("#documenter-themepicker option:selected").attr("value"); + if (themename === "auto") { + // set_theme(window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light'); + window.localStorage.removeItem("documenter-theme"); + } else { + // set_theme(themename); + window.localStorage.setItem("documenter-theme", themename); + } + // We re-use the global function from themeswap.js to actually do the swapping. + set_theme_from_local_storage(); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if (typeof window.localStorage !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if (theme !== null) { + $("#documenter-themepicker option").each(function (i, e) { + e.selected = e.value === theme; + }); + } + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function () { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if ( + typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === "boolean" && + DOCUMENTER_VERSION_SELECTOR_DISABLED + ) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function (x) { + target_href = version_selector_select + .children("option:selected") + .get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if ( + typeof DOCUMENTER_CURRENT_VERSION !== "undefined" && + $("#version-selector > option").length == 0 + ) { + var option = $( + "" + ); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== "undefined") { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function (i, x) { + return x.text; + }); + DOC_VERSIONS.forEach(function (each) { + var version_url = documenterBaseURL + "/../" + each + "/"; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $( + "" + ); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}); + +}) diff --git a/v0.18.0/assets/logo.png b/v0.18.0/assets/logo.png new file mode 100644 index 0000000000000000000000000000000000000000..1694b6569950ddbdc7013d67b1a40077baad12c1 GIT binary patch literal 24606 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kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#fff}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content 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html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark 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.docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--documenter-dark .button.is-primary.is-outlined:focus,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-outlined.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#375a7f;border-color:#375a7f;color:#fff}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #375a7f #375a7f !important}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark 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.button.is-info.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused{background-color:#fff;color:#024c7d}html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #024c7d #024c7d !important}html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-info.is-light{background-color:#ebf7ff;color:#0e9dfb}html.theme--documenter-dark .button.is-info.is-light:hover,html.theme--documenter-dark .button.is-info.is-light.is-hovered{background-color:#def2fe;border-color:transparent;color:#0e9dfb}html.theme--documenter-dark .button.is-info.is-light:active,html.theme--documenter-dark .button.is-info.is-light.is-active{background-color:#d2edfe;border-color:transparent;color:#0e9dfb}html.theme--documenter-dark .button.is-success{background-color:#008438;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-success:hover,html.theme--documenter-dark .button.is-success.is-hovered{background-color:#073;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-success:focus,html.theme--documenter-dark 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.button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined{background-color:transparent;border-color:#008438;box-shadow:none;color:#008438}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#008438}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #008438 #008438 !important}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-success.is-light{background-color:#ebfff3;color:#00eb64}html.theme--documenter-dark .button.is-success.is-light:hover,html.theme--documenter-dark 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.button.is-warning.is-active{background-color:#946e00;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-warning[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning{background-color:#ad8100;border-color:#ad8100;box-shadow:none}html.theme--documenter-dark .button.is-warning.is-inverted{background-color:#fff;color:#ad8100}html.theme--documenter-dark .button.is-warning.is-inverted:hover,html.theme--documenter-dark .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ad8100}html.theme--documenter-dark .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-warning.is-outlined{background-color:transparent;border-color:#ad8100;color:#ad8100}html.theme--documenter-dark .button.is-warning.is-outlined:hover,html.theme--documenter-dark .button.is-warning.is-outlined.is-hovered,html.theme--documenter-dark .button.is-warning.is-outlined:focus,html.theme--documenter-dark .button.is-warning.is-outlined.is-focused{background-color:#ad8100;border-color:#ad8100;color:#fff}html.theme--documenter-dark .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #ad8100 #ad8100 !important}html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark 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.button.is-danger:hover,html.theme--documenter-dark .button.is-danger.is-hovered{background-color:#92190c;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger:focus,html.theme--documenter-dark .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger:focus:not(:active),html.theme--documenter-dark .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(158,27,13,0.25)}html.theme--documenter-dark .button.is-danger:active,html.theme--documenter-dark .button.is-danger.is-active{background-color:#86170b;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger{background-color:#9e1b0d;border-color:#9e1b0d;box-shadow:none}html.theme--documenter-dark .button.is-danger.is-inverted{background-color:#fff;color:#9e1b0d}html.theme--documenter-dark 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.button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #9e1b0d #9e1b0d !important}html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined{background-color:transparent;border-color:#9e1b0d;box-shadow:none;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #9e1b0d #9e1b0d !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark 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.docs-logo>img.is-4by5{padding-top:125%}html.theme--documenter-dark .image.is-3by4,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4{padding-top:133.3333%}html.theme--documenter-dark .image.is-2by3,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by3{padding-top:150%}html.theme--documenter-dark .image.is-3by5,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by5{padding-top:166.6666%}html.theme--documenter-dark .image.is-9by16,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-9by16{padding-top:177.7777%}html.theme--documenter-dark .image.is-1by2,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by2{padding-top:200%}html.theme--documenter-dark .image.is-1by3,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by3{padding-top:300%}html.theme--documenter-dark .image.is-16x16,html.theme--documenter-dark #documenter .docs-sidebar 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+ Maintainer: @highlightjs/core-team + Website: https://highlightjs.org/ + License: see project LICENSE + Touched: 2021 +*/pre code.hljs{display:block;overflow-x:auto;padding:1em}code.hljs{padding:3px 5px}.hljs{background:#F3F3F3;color:#444}.hljs-comment{color:#697070}.hljs-tag,.hljs-punctuation{color:#444a}.hljs-tag .hljs-name,.hljs-tag .hljs-attr{color:#444}.hljs-keyword,.hljs-attribute,.hljs-selector-tag,.hljs-meta .hljs-keyword,.hljs-doctag,.hljs-name{font-weight:bold}.hljs-type,.hljs-string,.hljs-number,.hljs-selector-id,.hljs-selector-class,.hljs-quote,.hljs-template-tag,.hljs-deletion{color:#880000}.hljs-title,.hljs-section{color:#880000;font-weight:bold}.hljs-regexp,.hljs-symbol,.hljs-variable,.hljs-template-variable,.hljs-link,.hljs-selector-attr,.hljs-operator,.hljs-selector-pseudo{color:#ab5656}.hljs-literal{color:#695}.hljs-built_in,.hljs-bullet,.hljs-code,.hljs-addition{color:#397300}.hljs-meta{color:#1f7199}.hljs-meta .hljs-string{color:#38a}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}.gap-4{gap:1rem} diff --git a/v0.18.0/assets/themeswap.js b/v0.18.0/assets/themeswap.js new file mode 100644 index 00000000..9f5eebe6 --- /dev/null +++ b/v0.18.0/assets/themeswap.js @@ -0,0 +1,84 @@ +// Small function to quickly swap out themes. Gets put into the tag.. +function set_theme_from_local_storage() { + // Initialize the theme to null, which means default + var theme = null; + // If the browser supports the localstorage and is not disabled then try to get the + // documenter theme + if (window.localStorage != null) { + // Get the user-picked theme from localStorage. May be `null`, which means the default + // theme. + theme = window.localStorage.getItem("documenter-theme"); + } + // Check if the users preference is for dark color scheme + var darkPreference = + window.matchMedia("(prefers-color-scheme: dark)").matches === true; + // Initialize a few variables for the loop: + // + // - active: will contain the index of the theme that should be active. Note that there + // is no guarantee that localStorage contains sane values. If `active` stays `null` + // we either could not find the theme or it is the default (primary) theme anyway. + // Either way, we then need to stick to the primary theme. + // + // - disabled: style sheets that should be disabled (i.e. all the theme style sheets + // that are not the currently active theme) + var active = null; + var disabled = []; + var primaryLightTheme = null; + var primaryDarkTheme = null; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // To distinguish the default (primary) theme, it needs to have the data-theme-primary + // attribute set. + if (ss.ownerNode.getAttribute("data-theme-primary") !== null) { + primaryLightTheme = themename; + } + // Check if the theme is primary dark theme so that we could store its name in darkTheme + if (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null) { + primaryDarkTheme = themename; + } + // If we find a matching theme (and it's not the default), we'll set active to non-null + if (themename === theme) active = i; + // Store the style sheets of inactive themes so that we could disable them + if (themename !== theme) disabled.push(ss); + } + var activeTheme = null; + if (active !== null) { + // If we did find an active theme, we'll (1) add the theme--$(theme) class to + document.getElementsByTagName("html")[0].className = "theme--" + theme; + activeTheme = theme; + } else { + // If we did _not_ find an active theme, then we need to fall back to the primary theme + // which can either be dark or light, depending on the user's OS preference. + var activeTheme = darkPreference ? primaryDarkTheme : primaryLightTheme; + // In case it somehow happens that the relevant primary theme was not found in the + // preceding loop, we abort without doing anything. + if (activeTheme === null) { + console.error("Unable to determine primary theme."); + return; + } + // When switching to the primary light theme, then we must not have a class name + // for the tag. That's only for non-primary or the primary dark theme. + if (darkPreference) { + document.getElementsByTagName("html")[0].className = + "theme--" + activeTheme; + } else { + document.getElementsByTagName("html")[0].className = ""; + } + } + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // we'll disable all the stylesheets, except for the active one + ss.disabled = !(themename == activeTheme); + } +} +set_theme_from_local_storage(); diff --git a/v0.18.0/assets/warner.js b/v0.18.0/assets/warner.js new file mode 100644 index 00000000..3f6f5d00 --- /dev/null +++ b/v0.18.0/assets/warner.js @@ -0,0 +1,52 @@ +function maybeAddWarning() { + // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE + // in siteinfo.js. + // If either of these are undefined something went horribly wrong, so we abort. + if ( + window.DOCUMENTER_NEWEST === undefined || + window.DOCUMENTER_CURRENT_VERSION === undefined || + window.DOCUMENTER_STABLE === undefined + ) { + return; + } + + // Current version is not a version number, so we can't tell if it's the newest version. Abort. + if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) { + return; + } + + // Current version is newest version, so no need to add a warning. + if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) { + return; + } + + // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs. + if (document.body.querySelector('meta[name="robots"]') === null) { + const meta = document.createElement("meta"); + meta.name = "robots"; + meta.content = "noindex"; + + document.getElementsByTagName("head")[0].appendChild(meta); + } + + const div = document.createElement("div"); + div.classList.add("outdated-warning-overlay"); + const closer = document.createElement("button"); + closer.classList.add("outdated-warning-closer", "delete"); + closer.addEventListener("click", function () { + document.body.removeChild(div); + }); + const href = window.documenterBaseURL + "/../" + window.DOCUMENTER_STABLE; + div.innerHTML = + 'This documentation is not for the latest stable release, but for either the development version or an older release.
      Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", maybeAddWarning); +} else { + maybeAddWarning(); +} diff --git a/v0.18.0/generated/examples/1-mirt.ipynb b/v0.18.0/generated/examples/1-mirt.ipynb new file mode 100644 index 00000000..0813dd45 --- /dev/null +++ b/v0.18.0/generated/examples/1-mirt.ipynb @@ -0,0 +1,49 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# MIRT overview" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "The Julia package\n", + "[`MIRT.jl`](https://github.com/JeffFessler/MIRT.jl)\n", + "provides tools for performing image reconstruction\n", + "and solving related inverse problems.\n", + "\n", + "For more tools and more examples,\n", + "see\n", + "[JuliaImageRecon](https://github.com/JuliaImageRecon)" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "---\n", + "\n", + "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" + ], + "metadata": {} + } + ], + "nbformat_minor": 3, + "metadata": { + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "1.10.3" + }, + "kernelspec": { + "name": "julia-1.10", + "display_name": "Julia 1.10.3", + "language": "julia" + } + }, + "nbformat": 4 +} diff --git a/v0.18.0/generated/examples/1-mirt/index.html b/v0.18.0/generated/examples/1-mirt/index.html new file mode 100644 index 00000000..aef64b51 --- /dev/null +++ b/v0.18.0/generated/examples/1-mirt/index.html @@ -0,0 +1,2 @@ + +MIRT overview · MIRT.jl
      GitHub
      diff --git a/v0.18.0/generated/examples/2-nufft.ipynb b/v0.18.0/generated/examples/2-nufft.ipynb new file mode 100644 index 00000000..b32c1111 --- /dev/null +++ b/v0.18.0/generated/examples/2-nufft.ipynb @@ -0,0 +1,253 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# NUFFT\n", + "\n", + "Examples illustrating the `nufft` methods\n", + "in the Julia package\n", + "[`MIRT`](https://github.com/JeffFessler/MIRT.jl).\n", + "\n", + "The `nufft` functions in this package\n", + "are wrappers around\n", + "[NFFT.jl](https://github.com/JuliaMath/NFFT.jl).\n", + "\n", + "The plots on this page\n", + "are simply sanity checks\n", + "about of the approximation error\n", + "for that package\n", + "and they help verify the correctness\n", + "of the wrapper." + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "### Setup" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "Packages needed here." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "using Plots; default(markerstrokecolor = :auto, label=\"\")\n", + "using MIRTjim: prompt\n", + "using MIRT: nufft_init, nufft_errors, dtft\n", + "using InteractiveUtils: versioninfo" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "The following line is helpful when running this file as a script;\n", + "this way it will prompt user to hit a key after each figure is displayed." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "isinteractive() && prompt(:prompt);" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "## 1D example\n", + "\n", + "This code illustrates how to call the NUFFT." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "Ω = range(-1,1,301) * π # digital frequencies (radians/sample)\n", + "N = 16 # # of samples\n", + "(nufft, nufft_adjoint, Anufft) = nufft_init(Ω, N)\n", + "x = randn(ComplexF32, N) # random 1D signal\n", + "y1 = nufft(x) # one way to compute NUFFT\n", + "y2 = Anufft * x # another way to compute NUFFT\n", + "@assert y1 == y2\n", + "yd = dtft(Ω, x) # exact (slow) nonuniform discrete Fourier transform\n", + "maximum(abs, yd - y1) # worst error for this 1D signal" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "This plot shows that the NUFFT is very close to the exact nonuniform DFT." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "xticks = ([-π,0,π], [\"-π\", \"0\", \"π\"]); xlims = (-π,π); xlabel=\"Ω\"\n", + "p1 = plot(ylabel=\"Real part\"; xlabel, xlims, xticks)\n", + "plot!(Ω, real(y1), label=\"real(NUFFT)\", line=:dash)\n", + "plot!(Ω, real(yd), label=\"real(DTFT)\", line=:dot)\n", + "p2 = plot(ylabel=\"Imag part\"; xlabel, xlims, xticks)\n", + "plot!(Ω, imag(y1), label=\"imag(NUFFT)\", line=:dash)\n", + "plot!(Ω, imag(yd), label=\"imag(NUFFT)\", line=:dot)\n", + "p3 = plot(Ω, real(yd - y1), label=\"real(Error)\"; xlabel, xlims, xticks)\n", + "p4 = plot(Ω, imag(yd - y1), label=\"imag(Error)\"; xlabel, xlims, xticks)\n", + "plot(p1, p2, p3, p4)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "## Plot worst-case errors vs $N$\n", + "\n", + "Plot worst-case error\n", + "over all frequencies $Ω$ between $0$ and $2π/N$\n", + "for various $N$.\n", + "\n", + "Even for $N=512$\n", + "the error is below `4e-6`." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "Nlist = 2 .^ (4:9)\n", + "Nlist = [Nlist..., 191, 385] # test odd N values\n", + "errfunn = N -> maximum(nufft_errors( ; N)[2])\n", + "elist = errfunn.(Nlist)\n", + "pn = scatter(Nlist, elist,\n", + " xtick=Nlist, color=:red, xlabel=\"N\", ylabel=\"error\", yaxis=:log10)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "## Plot error vs NFFT `m`.\n", + "\n", + "For the default `m = 4`\n", + "the worst-case error is below `4e-6`." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "mlist = 3:7\n", + "errfunm = nfft_m -> maximum(nufft_errors( ; nfft_m)[2])\n", + "worst_m = errfunm.(mlist)\n", + "pm = scatter(mlist, worst_m,\n", + " xlabel=\"m\", ylabel=\"error\", color=:magenta, yaxis=:log10)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "## Plot error vs NFFT `sigma`.\n", + "For the default `σ = 4`\n", + "the worst-case error is below `4e-6`." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "slist = [1.5; 2:6] # σ\n", + "errfuns = nfft_sigma -> maximum(nufft_errors( ; nfft_sigma)[2])\n", + "worst_s = errfuns.(slist)\n", + "ps = scatter(slist, worst_s,\n", + " xlabel=\"σ\", ylabel=\"error\", color=:blue, yaxis=:log10)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "---\n", + "\n", + "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" + ], + "metadata": {} + } + ], + "nbformat_minor": 3, + "metadata": { + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "1.10.3" + }, + "kernelspec": { + "name": "julia-1.10", + "display_name": "Julia 1.10.3", + "language": "julia" + } + }, + "nbformat": 4 +} diff --git a/v0.18.0/generated/examples/2-nufft/73c06057.svg b/v0.18.0/generated/examples/2-nufft/73c06057.svg new file mode 100644 index 00000000..edf71489 --- /dev/null +++ b/v0.18.0/generated/examples/2-nufft/73c06057.svg @@ -0,0 +1,52 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/v0.18.0/generated/examples/2-nufft/9040740e.svg b/v0.18.0/generated/examples/2-nufft/9040740e.svg new file mode 100644 index 00000000..f479e112 --- /dev/null +++ b/v0.18.0/generated/examples/2-nufft/9040740e.svg @@ -0,0 +1,41 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/v0.18.0/generated/examples/2-nufft/b60a6c46.svg b/v0.18.0/generated/examples/2-nufft/b60a6c46.svg new file mode 100644 index 00000000..0ef94f30 --- /dev/null +++ b/v0.18.0/generated/examples/2-nufft/b60a6c46.svg @@ -0,0 +1,128 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/v0.18.0/generated/examples/2-nufft/c8263234.svg b/v0.18.0/generated/examples/2-nufft/c8263234.svg new file mode 100644 index 00000000..176f4fa5 --- /dev/null +++ b/v0.18.0/generated/examples/2-nufft/c8263234.svg @@ -0,0 +1,44 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/v0.18.0/generated/examples/2-nufft/index.html b/v0.18.0/generated/examples/2-nufft/index.html new file mode 100644 index 00000000..c5ff90f2 --- /dev/null +++ b/v0.18.0/generated/examples/2-nufft/index.html @@ -0,0 +1,57 @@ + +NUFFT · MIRT.jl
      GitHub

      NUFFT

      Examples illustrating the nufft methods in the Julia package MIRT.

      The nufft functions in this package are wrappers around NFFT.jl.

      The plots on this page are simply sanity checks about of the approximation error for that package and they help verify the correctness of the wrapper.

      This page comes from a single Julia file: 2-nufft.jl.

      You can access the source code for such Julia documentation using the 'Edit on GitHub' link in the top right. You can view the corresponding notebook in nbviewer here: 2-nufft.ipynb, or open it in binder here: 2-nufft.ipynb.

      Setup

      Packages needed here.

      using Plots; default(markerstrokecolor = :auto, label="")
+using MIRTjim: prompt
+using MIRT: nufft_init, nufft_errors, dtft
+using InteractiveUtils: versioninfo

      The following line is helpful when running this file as a script; this way it will prompt user to hit a key after each figure is displayed.

      isinteractive() && prompt(:prompt);

      1D example

      This code illustrates how to call the NUFFT.

      Ω = range(-1,1,301) * π # digital frequencies (radians/sample)
+N = 16 # # of samples
+(nufft, nufft_adjoint, Anufft) = nufft_init(Ω, N)
+x = randn(ComplexF32, N) # random 1D signal
+y1 = nufft(x) # one way to compute NUFFT
+y2 = Anufft * x # another way to compute NUFFT
+@assert y1 == y2
+yd = dtft(Ω, x) # exact (slow) nonuniform discrete Fourier transform
+maximum(abs, yd - y1) # worst error for this 1D signal
      1.006712333650557e-6

      This plot shows that the NUFFT is very close to the exact nonuniform DFT.

      xticks = ([-π,0,π], ["-π", "0", "π"]); xlims = (-π,π); xlabel="Ω"
+p1 = plot(ylabel="Real part"; xlabel, xlims, xticks)
+plot!(Ω, real(y1), label="real(NUFFT)", line=:dash)
+plot!(Ω, real(yd), label="real(DTFT)", line=:dot)
+p2 = plot(ylabel="Imag part"; xlabel, xlims, xticks)
+plot!(Ω, imag(y1), label="imag(NUFFT)", line=:dash)
+plot!(Ω, imag(yd), label="imag(NUFFT)", line=:dot)
+p3 = plot(Ω, real(yd - y1), label="real(Error)"; xlabel, xlims, xticks)
+p4 = plot(Ω, imag(yd - y1), label="imag(Error)"; xlabel, xlims, xticks)
+plot(p1, p2, p3, p4)
      Example block output
      prompt()

      Plot worst-case errors vs $N$

      Plot worst-case error over all frequencies $Ω$ between $0$ and $2π/N$ for various $N$.

      Even for $N=512$ the error is below 4e-6.

      Nlist = 2 .^ (4:9)
+Nlist = [Nlist..., 191, 385] # test odd N values
+errfunn = N -> maximum(nufft_errors( ; N)[2])
+elist = errfunn.(Nlist)
+pn = scatter(Nlist, elist,
+     xtick=Nlist, color=:red, xlabel="N", ylabel="error", yaxis=:log10)
      Example block output
      prompt()

      Plot error vs NFFT m.

      For the default m = 4 the worst-case error is below 4e-6.

      mlist = 3:7
+errfunm = nfft_m -> maximum(nufft_errors( ; nfft_m)[2])
+worst_m = errfunm.(mlist)
+pm = scatter(mlist, worst_m,
+    xlabel="m", ylabel="error", color=:magenta, yaxis=:log10)
      Example block output
      prompt()

      Plot error vs NFFT sigma.

      For the default σ = 4 the worst-case error is below 4e-6.

      slist = [1.5; 2:6] # σ
+errfuns = nfft_sigma -> maximum(nufft_errors( ; nfft_sigma)[2])
+worst_s = errfuns.(slist)
+ps = scatter(slist, worst_s,
+    xlabel="σ", ylabel="error", color=:blue, yaxis=:log10)
      Example block output
      prompt()

      Reproducibility

      This page was generated with the following version of Julia:

      using InteractiveUtils: versioninfo
+io = IOBuffer(); versioninfo(io); split(String(take!(io)), '\n')
      12-element Vector{SubString{String}}:
+ "Julia Version 1.10.3"
+ "Commit 0b4590a5507 (2024-04-30 10:59 UTC)"
+ "Build Info:"
+ "  Official https://julialang.org/ release"
+ "Platform Info:"
+ "  OS: Linux (x86_64-linux-gnu)"
+ "  CPU: 4 × AMD EPYC 7763 64-Core Processor"
+ "  WORD_SIZE: 64"
+ "  LIBM: libopenlibm"
+ "  LLVM: libLLVM-15.0.7 (ORCJIT, znver3)"
+ "Threads: 1 default, 0 interactive, 1 GC (on 4 virtual cores)"
+ ""

      And with the following package versions

      import Pkg; Pkg.status()
      Status `~/work/MIRT.jl/MIRT.jl/docs/Project.toml`
+  [6e4b80f9] BenchmarkTools v1.5.0
+  [e30172f5] Documenter v1.4.1
+  [d3d80556] LineSearches v7.2.0
+  [98b081ad] Literate v2.18.0
+  [7035ae7a] MIRT v0.18.0 `~/work/MIRT.jl/MIRT.jl`
+  [170b2178] MIRTjim v0.24.0
+  [91a5bcdd] Plots v1.40.4
+  [b77e0a4c] InteractiveUtils
+  [9a3f8284] Random

      This page was generated using Literate.jl.

      diff --git a/v0.18.0/generated/examples/3-ls-mm.ipynb b/v0.18.0/generated/examples/3-ls-mm.ipynb new file mode 100644 index 00000000..849abc9d --- /dev/null +++ b/v0.18.0/generated/examples/3-ls-mm.ipynb @@ -0,0 +1,633 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# Line search MM\n", + "\n", + "Examples illustrating the\n", + "line-search method\n", + "based on majorize-minimize (MM) principles\n", + "in the Julia package\n", + "[`MIRT`](https://github.com/JeffFessler/MIRT.jl).\n", + "This method is probably most useful\n", + "for algorithm developers." + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "### Setup" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "Packages needed here." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "using Plots; default(markerstrokecolor = :auto, label=\"\")\n", + "using MIRTjim: prompt\n", + "using MIRT: line_search_mm, LineSearchMMWork\n", + "using LineSearches: BackTracking, HagerZhang, MoreThuente\n", + "using LinearAlgebra: norm, dot\n", + "using Random: seed!; seed!(0)\n", + "using BenchmarkTools: @btime, @benchmark\n", + "using InteractiveUtils: versioninfo" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "The following line is helpful when running this file as a script;\n", + "this way it will prompt user to hit a key after each figure is displayed." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "isinteractive() && prompt(:prompt);" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "# Theory\n", + "\n", + "Many methods for solving inverse problems\n", + "involve optimization problems\n", + "of the form\n", + "$$\n", + "\\hat{x} = \\arg\\min_{x ∈ \\mathbb{F}^N} f(x)\n", + ",\\qquad\n", + "f(x) = \\sum_{j=1}^J f_j(B_j x)\n", + "$$\n", + "where $\\mathbb{F}$ denotes the field of real or complex numbers,\n", + "matrix $B_j$ has size $M_j × N$,\n", + "and $f_j : \\mathbb{F}^{M_j} ↦ \\mathbb{R}$.\n", + "\n", + "One could apply general-purpose optimization methods here,\n", + "like those in\n", + "[Optim.jl](https://github.com/JuliaNLSolvers/Optim.jl),\n", + "but often we can obtain faster results\n", + "by exploiting the specific\n", + "(yet still fairly general) structure,\n", + "particularly when the problem dimension $N$ is large.\n", + "\n", + "Many algorithms for solving such problems\n", + "require an inner 1D optimization problem\n", + "called a\n", + "[line search](https://en.wikipedia.org/wiki/Line_search)\n", + "of the form\n", + "$$\n", + "α_* = \\arg\\min_{α ∈ \\mathbb{R}} h(α)\n", + ",\\qquad\n", + "h(α) = f(x + α d),\n", + "$$\n", + "for some search direction $d$.\n", + "There are general purpose line search algorithms in\n", + "[LineSearches.jl](https://github.com/JuliaNLSolvers/LineSearches.jl),\n", + "but here we focus on the specific form of $f$ given above.\n", + "\n", + "For that form we see that we have the special structure\n", + "$$\n", + "h(α) = \\sum_{j=1}^J f_j(u_j + α v_j)\n", + ",\\qquad\n", + "u_j = B_j x\n", + ",\\quad\n", + "v_j = B_j d.\n", + "$$\n", + "\n", + "Here we focus further\n", + "on the case where each function $f_j(⋅)$\n", + "has a quadratic majorizer\n", + "of the form\n", + "$$\n", + "f_j(x) ≤ q_j(x,z) = f_j(z) + \\text{real}(⟨ ∇f_j(z), x - z ⟩)\n", + "+ \\frac{1}{2} (x - z)' D_j(z) (x - z),\n", + "$$\n", + "where $D_j(z)$ is a positive semidefinite matrix\n", + "that typically is diagonal.\n", + "Often it is a constant times the identity matrix,\n", + "e.g.,\n", + "a Lipschitz constant for $∇f_j$,\n", + "but often there are\n", + "sharper majorizers.\n", + "\n", + "Such quadratic majorizers\n", + "induce a quadratic majorizer\n", + "for $h(α)$ as well:\n", + "$$\n", + "h(α) ≤ q(α; α_t) =\n", + "\\sum_{j=1}^J q_j(u_j + α v_j; u_j + α_t v_j)\n", + "= h(α_t) + c_1(α_t) (α - α_t)\n", + "+ \\frac{1}{2} c_2(α_t) (α - α_t)^2\n", + "$$\n", + "where\n", + "$$\n", + "c_1(α_t) = \\sum_{j=1}^J \\text{real}(⟨ ∇f_j(u_j + α_t v_j), v_j ⟩)\n", + ",\\qquad\n", + "c_2(α_t) = \\sum_{j=1}^J v_j' D_j(u_j + α_t v_j) v_j.\n", + "$$\n", + "\n", + "The `line_search_mm` function\n", + "in this package\n", + "uses this quadratic majorizer\n", + "to update $α$\n", + "using the iteration\n", + "$$\n", + "α_{t+1}\n", + "= \\arg\\min_{α} q(α;α_t)\n", + "= α_t - c_1(α_t) / c_2(α_t).\n", + "$$\n", + "Being an MM algorithm,\n", + "it is guaranteed to decrease\n", + "$h(α)$ every update.\n", + "For an early exposition of this approach,\n", + "see\n", + "[Fessler & Booth, 1999](http://doi.org/10.1109/83.760336).\n", + "\n", + "From the above derivation,\n", + "the main ingredients needed are\n", + "functions for computing\n", + "the dot products\n", + "$⟨ ∇f_j(u_j + α_t v_j), v_j ⟩$\n", + "and\n", + "$v_j' D_j(u_j + α_t v_j) v_j$.\n", + "\n", + "The `line_search_mm` function\n", + "can construct such functions\n", + "given input gradient functions\n", + "$[∇f_1,…,∇f_J]$\n", + "and curvature functions\n", + "$[ω_1,…,ω_J]$\n", + "where\n", + "$D_j(z) = \\text{Diag}(ω_j(z))$.\n", + "\n", + "Alternatively,\n", + "the user can provide functions\n", + "for computing the dot products.\n", + "\n", + "All of this is best illustrated\n", + "by an example.\n", + "\n", + "# Smooth LASSO problem\n", + "\n", + "The usual LASSO optimization problem uses the cost function\n", + "$$\n", + "f(x) = \\frac{1}{2} \\| A x - y \\|_2^2 + β R(x)\n", + ",\\qquad\n", + "R(x) = \\| x \\|_1 = \\sum_{n=1}^N |x_n| = 1' \\text{abs.}(x).\n", + "$$\n", + "\n", + "The 1-norm is just a relaxation of the 0-norm\n", + "so here we further \"relax\" it\n", + "by considering the \"corner rounded\" version\n", + "using the Fair potential function\n", + "$$\n", + "R(x) = \\sum_{n=1}^N ψ(x_n) = 1' ψ.(x),\n", + "\\qquad\n", + "ψ(z) = δ^2 |z/δ| - \\log(1 + |z/δ|)\n", + "$$\n", + "for a small value of $δ$.\n", + "\n", + "The derivative of this potential function\n", + "is\n", + "$\\dot{ψ}(z) = z / (1 + |z / δ|)$\n", + "and Huber's curvature\n", + "$ω_{ψ}(z) = 1 / (1 + |z / δ|)$\n", + "provides a suitable majorizer.\n", + "\n", + "This smooth LASSO cost function has the general form above\n", + "with $J=2$,\n", + "$B_1 = A$,\n", + "$B_2 = I$,\n", + "$f_1(u) = \\frac{1}{2} \\| u - y \\|_2^2,$\n", + "$f_2(u) = β 1' ψ.(u),$\n", + "for which\n", + "$∇f_1(u) = u - y,$\n", + "$∇f_2(u) = β ψ.(u),$\n", + "and\n", + "$∇^2 f_1(u) = I,$\n", + "$∇^2 f_2(u) \\succeq β \\, \\text{diag}(ω_{ψ}(u)).$\n", + "\n", + "Set up an example and plot $h(α)$." + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "Fair potential, its derivative and Huber weighting function:" + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "function fair_pot()\n", + " fpot(z,δ) = δ^2 * (abs(z/δ) - log(1 + abs(z/δ)))\n", + " dpot(z,δ) = z / (1 + abs(z/δ))\n", + " wpot(z,δ) = 1 / (1 + abs(z/δ))\n", + " return fpot, dpot, wpot\n", + "end;" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Data, cost function and gradients for smooth LASSO problem:" + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "M, N = 1000, 2000\n", + "A = randn(M,N)\n", + "x0 = randn(N) .* (rand(N) .< 0.4) # sparse vector\n", + "y = A * x0 + 0.001 * randn(M)\n", + "β = 95\n", + "δ = 0.1\n", + "fpot, dpot, wpot = Base.Fix2.(fair_pot(), δ)\n", + "\n", + "f(x) = 0.5 * norm(A * x - y)^2 + β * sum(fpot, x)\n", + "∇f(x) = A' * (A * x - y) + β * dpot.(x)\n", + "x = randn(N) # random point\n", + "d = -∇f(x)/M # some search direction\n", + "h(α) = f(x + α * d)\n", + "dh(α) = d' * ∇f(x + α * d)\n", + "pa = plot(h, xlabel=\"α\", ylabel=\"h(α)\", xlims=(-1, 2))" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Apply MM-based line search: simple version.\n", + "The key inputs are the gradient and curvature functions:" + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "gradf = [\n", + " u -> u - y, # ∇f₁ for data-fit term\n", + " u -> β * dpot.(u), # ∇f₂ for regularizer\n", + "]\n", + "curvf = [\n", + " 1, # curvature for data-fit term\n", + " u -> β * wpot.(u), # Huber curvature for regularizer\n", + "]\n", + "\n", + "uu = [A * x, x] # [u₁ u₂]\n", + "vv = [A * d, d] # [v₁ v₂]\n", + "fun(state) = state.α # log this\n", + "ninner = 7\n", + "out = Vector{Any}(undef, ninner+1)\n", + "α0 = 0\n", + "αstar = line_search_mm(gradf, curvf, uu, vv; ninner, out, fun, α0)\n", + "hmin = h(αstar)\n", + "scatter!([αstar], [hmin], marker=:star, color=:red)\n", + "scatter!([α0], [h(α0)], marker=:circle, color=:green)\n", + "ps = plot(0:ninner, out, marker=:circle, xlabel=\"iteration\", ylabel=\"α\",\n", + " color = :green)\n", + "pd = plot(0:ninner, abs.(dh.(out)), marker=:diamond,\n", + " yaxis = :log, color=:red,\n", + " xlabel=\"iteration\", ylabel=\"|dh(α)|\")\n", + "pu = plot(1:ninner, log10.(max.(abs.(diff(out)), 1e-16)), marker=:square,\n", + " color=:blue, xlabel=\"iteration\", ylabel=\"log10(|α_k - α_{k-1}|)\")\n", + "plot(pa, ps, pd, pu)" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Thanks to Huber's curvatures,\n", + "the $α_t$ sequence converges very quickly.\n", + "\n", + "Now explore a fancier version\n", + "that needs less heap memory." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "work = LineSearchMMWork(uu, vv, α0) # pre-allocate\n", + "function lsmm1(gradf, curvf)\n", + " return line_search_mm(gradf, curvf, uu, vv;\n", + " ninner, out, fun, α0, work)\n", + "end\n", + "function lsmm2(dot_gradf, dot_curvf)\n", + " gradn = [() -> nothing, () -> nothing]\n", + " return line_search_mm(uu, vv, dot_gradf, dot_curvf;\n", + " ninner, out, fun, α0, work)\n", + "end;" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "The `let` statements below are a performance trick from the\n", + "[Julia manual](https://docs.julialang.org/en/v1/manual/performance-tips/#man-performance-captured-1).\n", + "Using `Iterators.map` avoids allocating arrays like `z - y`\n", + "and does not even require any work space." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "gradz = [\n", + " let y=y; z -> Iterators.map(-, z, y); end, # z - y\n", + " let β=β, dpot=dpot; z -> Iterators.map(z -> β * dpot(z), z); end, # β * dψ.(z)\n", + "]\n", + "curvz = [\n", + " 1,\n", + " let β=β, wpot=wpot; z -> Iterators.map(z -> β * wpot(z), z); end, # β * ωψ.(z)\n", + "]\n", + "\n", + "function make_grad1c()\n", + " w = similar(uu[1]) # work-space\n", + " let w=w, y=y\n", + " function grad1c(z)\n", + " @. w = z - y\n", + " return w\n", + " end\n", + " end\n", + "end\n", + "\n", + "function make_grad2c()\n", + " w = similar(uu[2]) # work-space\n", + " let w=w, β=β, dpot=dpot\n", + " function grad2c(z)\n", + " @. w = β * dpot(z)\n", + " return w\n", + " end\n", + " end\n", + "end\n", + "\n", + "function make_curv2c()\n", + " w = similar(uu[2]) # work-space\n", + " let w=w, β=β, wpot=wpot\n", + " function curv2c(z)\n", + " @. w = β * wpot(z) # β * ωψ.(z)\n", + " return w\n", + " end\n", + " end\n", + "end\n", + "\n", + "gradc = [ # capture version\n", + " make_grad1c(), # z - y\n", + " make_grad2c(), # β * dψ.(z)\n", + "]\n", + "curvc = [\n", + " 1,\n", + " make_curv2c(), # β * ωψ.(z)\n", + "]\n", + "\n", + "sum_map(f::Function, args...) = sum(Iterators.map(f, args...))\n", + "dot_gradz = [\n", + " let y=y; (v,z) -> sum_map((v,z,y) -> dot(v, z - y), v, z, y); end, # v'(z - y)\n", + " let β=β, dpot=dpot; (v,z) -> β * sum_map((v,z) -> dot(v, dpot(z)), v, z); end, # β * (v'dψ.(z))\n", + "]\n", + "dot_curvz = [\n", + " (v,z) -> norm(v)^2,\n", + " let β=β, wpot=wpot; (v,z) -> β * sum_map((v,z) -> abs2(v) * wpot(z), v, z); end, # β * (abs2.(v)'ωψ.(z))\n", + "]\n", + "\n", + "\n", + "a1 = lsmm1(gradf, curvf)\n", + "a1c = lsmm1(gradc, curvc)\n", + "a2 = lsmm1(gradz, curvz)\n", + "a3 = lsmm2(dot_gradz, dot_curvz)\n", + "@assert a1 ≈ a2 ≈ a3 ≈ a1c\n", + "\n", + "b1 = @benchmark a1 = lsmm1($gradf, $curvf)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "bc = @benchmark a1c = lsmm1($gradc, $curvc)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "b2 = @benchmark a2 = lsmm1($gradz, $curvz)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "b3 = @benchmark a3 = lsmm2($dot_gradz, $dot_curvz)" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Timing results on my Mac:\n", + "- 95 μs\n", + "- 65 μs # 1c after using `make_`\n", + "- 80 μs\n", + "- 69 μs (and lowest memory)\n", + "\n", + "The versions using `gradc` and `dot_gradz`\n", + "with their \"properly captured\" variables\n", + "are the fastest.\n", + "But all the versions here are pretty similar\n", + "so even using the simplest version\n", + "seems likely to be fine." + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "## Compare with LineSearches.jl\n", + "\n", + "Was all this specialized effort useful?\n", + "Let's compare to the general line search methods in\n", + "[LineSearches.jl](https://github.com/JuliaNLSolvers/LineSearches.jl).\n", + "\n", + "It seems that some of those methods do not allow $α₀ = 0$\n", + "so we use 1.0 instead.\n", + "We use the default arguments for all the solvers,\n", + "which means some of them might terminate\n", + "before `ninner` iterations,\n", + "giving them a potential speed advantage." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "a0 = 1.0 # α0\n", + "hdh(α) = h(α), dh(α)\n", + "h0 = h(0)\n", + "dh0 = dh(0);\n", + "function ls_ls(linesearch)\n", + " a1, fx = linesearch(h, dh, hdh, a0, h0, dh0)\n", + " return a1\n", + "end;\n", + "\n", + "solvers = [\n", + " BackTracking( ; iterations = ninner),\n", + " HagerZhang( ; linesearchmax = ninner),\n", + " MoreThuente( ; maxfev = ninner),\n", + "]\n", + "for ls in solvers # check that they work properly\n", + " als = ls_ls(ls)\n", + " @assert isapprox(als, αstar; atol=1e-3)\n", + "end;" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "bbt = @benchmark ls_ls($(solvers[1]))" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "bhz = @benchmark ls_ls($(solvers[2]))" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "bmt = @benchmark ls_ls($(solvers[3]))" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "On my Mac the timings are all much longer\n", + "compared to `line_search_mm`:\n", + "- 840 μs `BackTracking`\n", + "- 2.6 ms `HagerZhang`\n", + "- 3.9 ms `MoreThuente`\n", + "\n", + "This comparison illustrates\n", + "the benefit of the \"special purpose\" line search.\n", + "\n", + "\n", + "The fastest version seems to be `BackTracking`,\n", + "so plot its iterates:" + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "alpha_bt = zeros(ninner + 1)\n", + "alpha_bt[1] = a0\n", + "for iter in 1:ninner\n", + " tmp = BackTracking( ; iterations = iter)\n", + " alpha_bt[iter+1] = ls_ls(tmp)\n", + "end\n", + "plot(0:ninner, alpha_bt, marker=:square, color=:blue,\n", + " xlabel=\"Iteration\", ylabel=\"BackTracking α\")\n", + "plot!([0, ninner], [1,1] * αstar, color=:red)" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Unexpectedly,\n", + "`BackTracking` seems to terminate at the first iteration.\n", + "But even just that single iteration is slower than 7 iterations\n", + "of `line_search_mm`." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "---\n", + "\n", + "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" + ], + "metadata": {} + } + ], + "nbformat_minor": 3, + "metadata": { + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "1.10.3" + }, + "kernelspec": { + "name": "julia-1.10", + "display_name": "Julia 1.10.3", + "language": "julia" + } + }, + "nbformat": 4 +} diff --git a/v0.18.0/generated/examples/3-ls-mm/7801032f.svg b/v0.18.0/generated/examples/3-ls-mm/7801032f.svg new file mode 100644 index 00000000..ac8b9426 --- /dev/null +++ b/v0.18.0/generated/examples/3-ls-mm/7801032f.svg @@ -0,0 +1,48 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/v0.18.0/generated/examples/3-ls-mm/adb3583e.svg b/v0.18.0/generated/examples/3-ls-mm/adb3583e.svg new file mode 100644 index 00000000..4056e643 --- /dev/null +++ b/v0.18.0/generated/examples/3-ls-mm/adb3583e.svg @@ -0,0 +1,149 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/v0.18.0/generated/examples/3-ls-mm/caee52d9.svg b/v0.18.0/generated/examples/3-ls-mm/caee52d9.svg new file mode 100644 index 00000000..da5752ee --- /dev/null +++ b/v0.18.0/generated/examples/3-ls-mm/caee52d9.svg @@ -0,0 +1,41 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/v0.18.0/generated/examples/3-ls-mm/index.html b/v0.18.0/generated/examples/3-ls-mm/index.html new file mode 100644 index 00000000..68cba765 --- /dev/null +++ b/v0.18.0/generated/examples/3-ls-mm/index.html @@ -0,0 +1,258 @@ + +Line search MM · MIRT.jl
      GitHub

      Line search MM

      Examples illustrating the line-search method based on majorize-minimize (MM) principles in the Julia package MIRT. This method is probably most useful for algorithm developers.

      This page comes from a single Julia file: 3-ls-mm.jl.

      You can access the source code for such Julia documentation using the 'Edit on GitHub' link in the top right. You can view the corresponding notebook in nbviewer here: 3-ls-mm.ipynb, or open it in binder here: 3-ls-mm.ipynb.

      Setup

      Packages needed here.

      using Plots; default(markerstrokecolor = :auto, label="")
+using MIRTjim: prompt
+using MIRT: line_search_mm, LineSearchMMWork
+using LineSearches: BackTracking, HagerZhang, MoreThuente
+using LinearAlgebra: norm, dot
+using Random: seed!; seed!(0)
+using BenchmarkTools: @btime, @benchmark
+using InteractiveUtils: versioninfo

      The following line is helpful when running this file as a script; this way it will prompt user to hit a key after each figure is displayed.

      isinteractive() && prompt(:prompt);

      Theory

      Many methods for solving inverse problems involve optimization problems of the form

      \[\hat{x} = \arg\min_{x ∈ \mathbb{F}^N} f(x) +,\qquad +f(x) = \sum_{j=1}^J f_j(B_j x)\]

      where $\mathbb{F}$ denotes the field of real or complex numbers, matrix $B_j$ has size $M_j × N$, and $f_j : \mathbb{F}^{M_j} ↦ \mathbb{R}$.

      One could apply general-purpose optimization methods here, like those in Optim.jl, but often we can obtain faster results by exploiting the specific (yet still fairly general) structure, particularly when the problem dimension $N$ is large.

      Many algorithms for solving such problems require an inner 1D optimization problem called a line search of the form

      \[α_* = \arg\min_{α ∈ \mathbb{R}} h(α) +,\qquad +h(α) = f(x + α d),\]

      for some search direction $d$. There are general purpose line search algorithms in LineSearches.jl, but here we focus on the specific form of $f$ given above.

      For that form we see that we have the special structure

      \[h(α) = \sum_{j=1}^J f_j(u_j + α v_j) +,\qquad +u_j = B_j x +,\quad +v_j = B_j d.\]

      Here we focus further on the case where each function $f_j(⋅)$ has a quadratic majorizer of the form

      \[f_j(x) ≤ q_j(x,z) = f_j(z) + \text{real}(⟨ ∇f_j(z), x - z ⟩) ++ \frac{1}{2} (x - z)' D_j(z) (x - z),\]

      where $D_j(z)$ is a positive semidefinite matrix that typically is diagonal. Often it is a constant times the identity matrix, e.g., a Lipschitz constant for $∇f_j$, but often there are sharper majorizers.

      Such quadratic majorizers induce a quadratic majorizer for $h(α)$ as well:

      \[h(α) ≤ q(α; α_t) = +\sum_{j=1}^J q_j(u_j + α v_j; u_j + α_t v_j) += h(α_t) + c_1(α_t) (α - α_t) ++ \frac{1}{2} c_2(α_t) (α - α_t)^2\]

      where

      \[c_1(α_t) = \sum_{j=1}^J \text{real}(⟨ ∇f_j(u_j + α_t v_j), v_j ⟩) +,\qquad +c_2(α_t) = \sum_{j=1}^J v_j' D_j(u_j + α_t v_j) v_j.\]

      The line_search_mm function in this package uses this quadratic majorizer to update $α$ using the iteration

      \[α_{t+1} += \arg\min_{α} q(α;α_t) += α_t - c_1(α_t) / c_2(α_t).\]

      Being an MM algorithm, it is guaranteed to decrease $h(α)$ every update. For an early exposition of this approach, see Fessler & Booth, 1999.

      From the above derivation, the main ingredients needed are functions for computing the dot products $⟨ ∇f_j(u_j + α_t v_j), v_j ⟩$ and $v_j' D_j(u_j + α_t v_j) v_j$.

      The line_search_mm function can construct such functions given input gradient functions $[∇f_1,…,∇f_J]$ and curvature functions $[ω_1,…,ω_J]$ where $D_j(z) = \text{Diag}(ω_j(z))$.

      Alternatively, the user can provide functions for computing the dot products.

      All of this is best illustrated by an example.

      Smooth LASSO problem

      The usual LASSO optimization problem uses the cost function

      \[f(x) = \frac{1}{2} \| A x - y \|_2^2 + β R(x) +,\qquad +R(x) = \| x \|_1 = \sum_{n=1}^N |x_n| = 1' \text{abs.}(x).\]

      The 1-norm is just a relaxation of the 0-norm so here we further "relax" it by considering the "corner rounded" version using the Fair potential function

      \[R(x) = \sum_{n=1}^N ψ(x_n) = 1' ψ.(x), +\qquad +ψ(z) = δ^2 |z/δ| - \log(1 + |z/δ|)\]

      for a small value of $δ$.

      The derivative of this potential function is $\dot{ψ}(z) = z / (1 + |z / δ|)$ and Huber's curvature $ω_{ψ}(z) = 1 / (1 + |z / δ|)$ provides a suitable majorizer.

      This smooth LASSO cost function has the general form above with $J=2$, $B_1 = A$, $B_2 = I$, $f_1(u) = \frac{1}{2} \| u - y \|_2^2,$ $f_2(u) = β 1' ψ.(u),$ for which $∇f_1(u) = u - y,$ $∇f_2(u) = β ψ.(u),$ and $∇^2 f_1(u) = I,$ $∇^2 f_2(u) \succeq β \, \text{diag}(ω_{ψ}(u)).$

      Set up an example and plot $h(α)$.

      Fair potential, its derivative and Huber weighting function:

      function fair_pot()
+    fpot(z,δ) = δ^2 * (abs(z/δ) - log(1 + abs(z/δ)))
+    dpot(z,δ) = z / (1 + abs(z/δ))
+    wpot(z,δ) = 1 / (1 + abs(z/δ))
+    return fpot, dpot, wpot
+end;

      Data, cost function and gradients for smooth LASSO problem:

      M, N = 1000, 2000
+A = randn(M,N)
+x0 = randn(N) .* (rand(N) .< 0.4) # sparse vector
+y = A * x0 + 0.001 * randn(M)
+β = 95
+δ = 0.1
+fpot, dpot, wpot = Base.Fix2.(fair_pot(), δ)
+
+f(x) = 0.5 * norm(A * x - y)^2 + β * sum(fpot, x)
+∇f(x) = A' * (A * x - y) + β * dpot.(x)
+x = randn(N) # random point
+d = -∇f(x)/M # some search direction
+h(α) = f(x + α * d)
+dh(α) = d' * ∇f(x + α * d)
+pa = plot(h, xlabel="α", ylabel="h(α)", xlims=(-1, 2))
      Example block output

      Apply MM-based line search: simple version. The key inputs are the gradient and curvature functions:

      gradf = [
+    u -> u - y, # ∇f₁ for data-fit term
+    u -> β * dpot.(u), # ∇f₂ for regularizer
+]
+curvf = [
+    1, # curvature for data-fit term
+    u -> β * wpot.(u), # Huber curvature for regularizer
+]
+
+uu = [A * x, x] # [u₁ u₂]
+vv = [A * d, d] # [v₁ v₂]
+fun(state) = state.α # log this
+ninner = 7
+out = Vector{Any}(undef, ninner+1)
+α0 = 0
+αstar = line_search_mm(gradf, curvf, uu, vv; ninner, out, fun, α0)
+hmin = h(αstar)
+scatter!([αstar], [hmin], marker=:star, color=:red)
+scatter!([α0], [h(α0)], marker=:circle, color=:green)
+ps = plot(0:ninner, out, marker=:circle, xlabel="iteration", ylabel="α",
+    color = :green)
+pd = plot(0:ninner, abs.(dh.(out)), marker=:diamond,
+    yaxis = :log, color=:red,
+    xlabel="iteration", ylabel="|dh(α)|")
+pu = plot(1:ninner, log10.(max.(abs.(diff(out)), 1e-16)), marker=:square,
+    color=:blue, xlabel="iteration", ylabel="log10(|α_k - α_{k-1}|)")
+plot(pa, ps, pd, pu)
      Example block output

      Thanks to Huber's curvatures, the $α_t$ sequence converges very quickly.

      Now explore a fancier version that needs less heap memory.

      work = LineSearchMMWork(uu, vv, α0) # pre-allocate
+function lsmm1(gradf, curvf)
+    return line_search_mm(gradf, curvf, uu, vv;
+        ninner, out, fun, α0, work)
+end
+function lsmm2(dot_gradf, dot_curvf)
+    gradn = [() -> nothing, () -> nothing]
+    return line_search_mm(uu, vv, dot_gradf, dot_curvf;
+        ninner, out, fun, α0, work)
+end;

      The let statements below are a performance trick from the Julia manual. Using Iterators.map avoids allocating arrays like z - y and does not even require any work space.

      gradz = [
+    let y=y; z -> Iterators.map(-, z, y); end, # z - y
+    let β=β, dpot=dpot; z -> Iterators.map(z -> β * dpot(z), z); end, # β * dψ.(z)
+]
+curvz = [
+    1,
+    let β=β, wpot=wpot; z -> Iterators.map(z -> β * wpot(z), z); end, # β * ωψ.(z)
+]
+
+function make_grad1c()
+    w = similar(uu[1]) # work-space
+    let w=w, y=y
+        function grad1c(z)
+            @. w = z - y
+            return w
+        end
+    end
+end
+
+function make_grad2c()
+    w = similar(uu[2]) # work-space
+    let w=w, β=β, dpot=dpot
+        function grad2c(z)
+            @. w = β * dpot(z)
+            return w
+        end
+    end
+end
+
+function make_curv2c()
+    w = similar(uu[2]) # work-space
+    let w=w, β=β, wpot=wpot
+        function curv2c(z)
+            @. w = β * wpot(z) # β * ωψ.(z)
+            return w
+        end
+    end
+end
+
+gradc = [ # capture version
+    make_grad1c(), # z - y
+    make_grad2c(), # β * dψ.(z)
+]
+curvc = [
+    1,
+    make_curv2c(), # β * ωψ.(z)
+]
+
+sum_map(f::Function, args...) = sum(Iterators.map(f, args...))
+dot_gradz = [
+    let y=y; (v,z) -> sum_map((v,z,y) -> dot(v, z - y), v, z, y); end, # v'(z - y)
+    let β=β, dpot=dpot; (v,z) -> β * sum_map((v,z) -> dot(v, dpot(z)), v, z); end, # β * (v'dψ.(z))
+]
+dot_curvz = [
+    (v,z) -> norm(v)^2,
+    let β=β, wpot=wpot; (v,z) -> β * sum_map((v,z) -> abs2(v) * wpot(z), v, z); end, # β * (abs2.(v)'ωψ.(z))
+]
+
+
+a1 = lsmm1(gradf, curvf)
+a1c = lsmm1(gradc, curvc)
+a2 = lsmm1(gradz, curvz)
+a3 = lsmm2(dot_gradz, dot_curvz)
+@assert a1 ≈ a2 ≈ a3 ≈ a1c
+
+b1 = @benchmark a1 = lsmm1($gradf, $curvf)
      BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):  75.671 μs …  5.265 ms  ┊ GC (min … max): 0.00% … 96.49%
+ Time  (median):     86.442 μs              ┊ GC (median):    0.00%
+ Time  (mean ± σ):   93.126 μs ± 79.786 μs  ┊ GC (mean ± σ):  5.38% ±  7.59%
+
+  ▄█▅▂▁                                                       ▁
+  ██████▆▅▁▃▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▃▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▃ █
+  75.7 μs      Histogram: log(frequency) by time       506 μs <
+
+ Memory estimate: 502.16 KiB, allocs estimate: 239.
      bc = @benchmark a1c = lsmm1($gradc, $curvc)
      BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):  63.889 μs …  2.910 ms  ┊ GC (min … max): 0.00% … 95.25%
+ Time  (median):     65.683 μs              ┊ GC (median):    0.00%
+ Time  (mean ± σ):   67.024 μs ± 28.883 μs  ┊ GC (mean ± σ):  0.41% ±  0.95%
+
+  ▄▆▇▇██▆▄▂▁▂▁                                       ▁▂▁▁     ▂
+  ███████████████▇▆▆▆▆▃▆▄▅▅▅▆▆▆▅▇▇▇▇▇▇▇▆▆▇▇▆▆▅▆▅▁▄▅▄▇████▇███ █
+  63.9 μs      Histogram: log(frequency) by time      86.7 μs <
+
+ Memory estimate: 4.95 KiB, allocs estimate: 179.
      b2 = @benchmark a2 = lsmm1($gradz, $curvz)
      BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):  103.182 μs …  3.635 ms  ┊ GC (min … max): 0.00% … 95.53%
+ Time  (median):     112.469 μs              ┊ GC (median):    0.00%
+ Time  (mean ± σ):   113.195 μs ± 35.409 μs  ┊ GC (mean ± σ):  0.31% ±  0.96%
+
+   ▂▁▁                   ▁▆██▇▆▄▃▂▂▂▁▁                  ▁      ▂
+  ████▇▆▄▅▁▄▄▅▄▅▄▃▃▄▄▁▅▃▄██████████████▆▆▆▆▆▅▅▆▅▅▅▄▁▅▄▇████▇▇▇ █
+  103 μs        Histogram: log(frequency) by time       124 μs <
+
+ Memory estimate: 4.91 KiB, allocs estimate: 179.
      b3 = @benchmark a3 = lsmm2($dot_gradz, $dot_curvz)
      BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):   93.645 μs … 139.150 μs  ┊ GC (min … max): 0.00% … 0.00%
+ Time  (median):     101.700 μs               ┊ GC (median):    0.00%
+ Time  (mean ± σ):   102.175 μs ±   2.112 μs  ┊ GC (mean ± σ):  0.00% ± 0.00%
+
+                             █▆▂▃                               ▁
+  ▆▄▄▁▁▁▁▁▃▃▁▃▁▁▁▁▃▁▁▃▃▁▁▁▁▁▇█████▆▅▅██▆▆▄▁▃▁▃▁▄▃▃▁▅▆▇▆▇▇████▇▆ █
+  93.6 μs       Histogram: log(frequency) by time        111 μs <
+
+ Memory estimate: 2.08 KiB, allocs estimate: 110.

      Timing results on my Mac:

      • 95 μs
      • 65 μs # 1c after using make_
      • 80 μs
      • 69 μs (and lowest memory)

      The versions using gradc and dot_gradz with their "properly captured" variables are the fastest. But all the versions here are pretty similar so even using the simplest version seems likely to be fine.

      Compare with LineSearches.jl

      Was all this specialized effort useful? Let's compare to the general line search methods in LineSearches.jl.

      It seems that some of those methods do not allow $α₀ = 0$ so we use 1.0 instead. We use the default arguments for all the solvers, which means some of them might terminate before ninner iterations, giving them a potential speed advantage.

      a0 = 1.0 # α0
+hdh(α) = h(α), dh(α)
+h0 = h(0)
+dh0 = dh(0);
+function ls_ls(linesearch)
+    a1, fx = linesearch(h, dh, hdh, a0, h0, dh0)
+    return a1
+end;
+
+solvers = [
+    BackTracking( ; iterations = ninner),
+    HagerZhang( ; linesearchmax = ninner),
+    MoreThuente( ; maxfev = ninner),
+]
+for ls in solvers # check that they work properly
+    als = ls_ls(ls)
+    @assert isapprox(als, αstar; atol=1e-3)
+end;
      bbt = @benchmark ls_ls($(solvers[1]))
      BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):  323.533 μs …  1.278 ms  ┊ GC (min … max): 0.00% … 65.41%
+ Time  (median):     355.423 μs              ┊ GC (median):    0.00%
+ Time  (mean ± σ):   360.765 μs ± 39.854 μs  ┊ GC (mean ± σ):  0.40% ±  2.75%
+
+                   ▃█▄                                          
+  ▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▃████▅▃▃▃▃▃▃▂▂▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ ▂
+  324 μs          Histogram: frequency by time          422 μs <
+
+ Memory estimate: 95.69 KiB, allocs estimate: 61.
      bhz = @benchmark ls_ls($(solvers[2]))
      BenchmarkTools.Trial: 5321 samples with 1 evaluation.
+ Range (min … max):  854.644 μs …  2.789 ms  ┊ GC (min … max): 0.00% … 24.70%
+ Time  (median):     925.987 μs              ┊ GC (median):    0.00%
+ Time  (mean ± σ):   936.923 μs ± 68.836 μs  ┊ GC (mean ± σ):  0.41% ±  2.97%
+
+               ▃▆██▇▇▆▆▄▄▃▂▁                                   ▂
+  ▃▁▁▁▁▁▁▁▃▄▃▄▄██████████████▇▇▇▆▇▅▄▅▅▃▆▄▅▆▇▆▇▇▆▆▇▆▆▅▆▅▄▅▅▅▃▅▄ █
+  855 μs        Histogram: log(frequency) by time      1.11 ms <
+
+ Memory estimate: 316.70 KiB, allocs estimate: 67.
      bmt = @benchmark ls_ls($(solvers[3]))
      BenchmarkTools.Trial: 3551 samples with 1 evaluation.
+ Range (min … max):  1.271 ms …  3.271 ms  ┊ GC (min … max): 0.00% … 19.45%
+ Time  (median):     1.393 ms              ┊ GC (median):    0.00%
+ Time  (mean ± σ):   1.405 ms ± 82.055 μs  ┊ GC (mean ± σ):  0.41% ±  2.84%
+
+                  ▄█▅▄                                        
+  ▂▂▂▂▁▂▂▂▂▂▂▂▂▂▂▅█████▆▄▃▃▂▂▂▂▂▂▁▁▂▁▂▁▂▂▂▂▂▂▂▂▂▂▂▂▂▁▂▂▂▁▂▂▂ ▃
+  1.27 ms        Histogram: frequency by time        1.65 ms <
+
+ Memory estimate: 475.25 KiB, allocs estimate: 147.

      On my Mac the timings are all much longer compared to line_search_mm:

      • 840 μs BackTracking
      • 2.6 ms HagerZhang
      • 3.9 ms MoreThuente

      This comparison illustrates the benefit of the "special purpose" line search.

      The fastest version seems to be BackTracking, so plot its iterates:

      alpha_bt = zeros(ninner + 1)
+alpha_bt[1] = a0
+for iter in 1:ninner
+    tmp = BackTracking( ; iterations = iter)
+    alpha_bt[iter+1] = ls_ls(tmp)
+end
+plot(0:ninner, alpha_bt, marker=:square, color=:blue,
+    xlabel="Iteration", ylabel="BackTracking α")
+plot!([0, ninner], [1,1] * αstar, color=:red)
      Example block output

      Unexpectedly, BackTracking seems to terminate at the first iteration. But even just that single iteration is slower than 7 iterations of line_search_mm.

      prompt()

      Reproducibility

      This page was generated with the following version of Julia:

      using InteractiveUtils: versioninfo
+io = IOBuffer(); versioninfo(io); split(String(take!(io)), '\n')
      12-element Vector{SubString{String}}:
+ "Julia Version 1.10.3"
+ "Commit 0b4590a5507 (2024-04-30 10:59 UTC)"
+ "Build Info:"
+ "  Official https://julialang.org/ release"
+ "Platform Info:"
+ "  OS: Linux (x86_64-linux-gnu)"
+ "  CPU: 4 × AMD EPYC 7763 64-Core Processor"
+ "  WORD_SIZE: 64"
+ "  LIBM: libopenlibm"
+ "  LLVM: libLLVM-15.0.7 (ORCJIT, znver3)"
+ "Threads: 1 default, 0 interactive, 1 GC (on 4 virtual cores)"
+ ""

      And with the following package versions

      import Pkg; Pkg.status()
      Status `~/work/MIRT.jl/MIRT.jl/docs/Project.toml`
+  [6e4b80f9] BenchmarkTools v1.5.0
+  [e30172f5] Documenter v1.4.1
+  [d3d80556] LineSearches v7.2.0
+  [98b081ad] Literate v2.18.0
+  [7035ae7a] MIRT v0.18.0 `~/work/MIRT.jl/MIRT.jl`
+  [170b2178] MIRTjim v0.24.0
+  [91a5bcdd] Plots v1.40.4
+  [b77e0a4c] InteractiveUtils
+  [9a3f8284] Random

      This page was generated using Literate.jl.

      diff --git a/v0.18.0/index.html b/v0.18.0/index.html new file mode 100644 index 00000000..423d0d1a --- /dev/null +++ b/v0.18.0/index.html @@ -0,0 +1,2 @@ + +Home · MIRT.jl
      GitHub

      MIRT: The Michigan Image Reconstruction Toolbox

      MIRT.jl is a collection of Julia functions for performing image reconstruction and solving related inverse problems.

      It is very much still under construction, although there are already enough tools to solve useful problems like compressed sensing MRI reconstruction. Trying the demos is a good way to get started.

      The documentation is even more still under construction.

      More complete examples are at JuliaImageRecon; see Examples there.

      diff --git a/v0.18.0/methods/index.html b/v0.18.0/methods/index.html new file mode 100644 index 00000000..93cfeda8 --- /dev/null +++ b/v0.18.0/methods/index.html @@ -0,0 +1,24 @@ + +Methods · MIRT.jl
      GitHub

      Methods list

      Methods usage

      MIRT.MIRT — Module
      MIRT is the Michigan Image Reconstruction Toolbox
      source
      MIRT.LineSearchMM — Method
      LineSearchMM(gradf, curvf, u, v; α0 ...)
+LineSearchMM(u, v, dot_gradf, dot_curvf; α0 ...)

      Construct iterator for line-search based on majorize-minimize (MM) approach for a general family of 1D cost functions of the form $h(α) = \sum_{j=1}^J f_j(u_j + α v_j)$ where each function $f_j(t)$ has a quadratic majorizer of the form

      \[q_j(t;s) = f_j(t) + \nabla f_j(s) (t - s) + 1/2 \|t - s\|^2_{C_j(s)}\]

      where $C_j(⋅)$ is diagonal matrix of curvatures. (It suffices for each $f_j$ to have a Lipschitz smooth gradient.)

      Each function $f_j : \mathcal{X}_j ↦ \mathbb{R}$ where conceptually $\mathcal{X}_j ⊆ \mathbb{R}^{M_j}$, but we allow more general domains.

      There are two outer constructors (based on the positional arguments):

      • The simple way (not type stable) provides
        • gradf vector of $J$ functions return gradients of $f_1,…,f_J$
        • curvf vector of $J$ functions z -> curv(z) that return a scalar or a vector of curvature values for each element of $z$
      • The fancier way (type stable) provides
        • dot_gradf::AbstractVector{<:Function} = make_dot_gradf.(gradf) See make_dot_gradf.
        • dot_curvf::AbstractVector{<:Function} = make_dot_curvf.(curvf) See make_dot_curvf.

      in

      • u vector of $J$ arrays $u_1,…,u_J$ (typically vectors)
      • v vector of $J$ arrays $v_1,…,v_J$ (typically vectors)

      We require axes(u_j) == axes(v_j) for all $j=1,…,J$.

      option

      • α0::Real = 0f0 initial guess for step size
      • ninner::Int = 5 # max number of inner iterations of MM line search
      • work = LineSearchMMWork(u, v, α) pre-allocated work space for $u_j+α v_j$
      source
      MIRT.LineSearchMMWork — Type
      LineSearchMMWork{Tz <: AbstractVector{<:AbstractArray}}

      Workspace for storing $z_j = u_j + α v_j$ in MM-based line search.

      If all of those $z_j$ arrays had the same eltype, then we could save memory by allocating just the longest vector needed. But for Unitful data they could have different eltypes and sizes, which would require a lot of reinterpret and reshape to handle. So we just allocate separate work arrays for each $j$.

      source
      MIRT.Afft — Method
      A = Afft(samp::AbstractArray{Bool} ; T, dims, operator, work, ...)

      Make a LinearMapAO operator object for (under-sampled) FFT, of type T, using given sampling pattern samp. Especially for compressed sensing MRI with Cartesian sampling.

      Option:

      • T::Type = ComplexF32
      • dims = 1:D apply fft/bfft only along these dimensions
      • fft_forward::Bool = true Use false to have bfft! in forward model.
      • operator::Bool = true set to false to return a LinearMapAM
      • work::AbstractArray work space for in-place fft operations
      • remaining arguments are passed to plan_fft

      Output

      Returns a LinearMapsAA.LinearMapA[M|O] object.

      source
      MIRT.Afft — Method
      A = Afft(xdim::Dims, fdim ; T, operator, unitary, work, ...)

      Make a <:LinearMapAX operator object for the FFT of an array of size xdim, along dimensions fdim, of type T.

      In:

      • xdim::Dims{D} array size
      • fdim = 1:D apply fft/bfft only along these dimensions

      Option:

      • T::Type = ComplexF32
      • operator::Bool = true return a LinearMapAO set to false to return a LinearMapAM
      • unitary::Bool = false set to true for unitary DFT
      • work::AbstractArray work space for in-place fft operations
      • remaining arguments are passed to plan_fft

      Output

      Returns a LinearMapsAA.LinearMapA[M|O] object.

      source
      MIRT.Anufft — Method
      Anufft(ω, N ; kwargs ...)

      Make a LinearMapAO object of size length(ω) × prod(N). See nufft_init for options.

      source
      MIRT.Aodwt — Method
      A, levels, mfun = Aodwt(dims ; level::Int=3, wt=wavelet(WT.haar))

      Create orthogonal discrete wavelet transform (ODWT) LinearMapAA

      in

      • dims::Dims tuple of dimensions

      option

      • level::Int # of levels; default 3
      • wt wavelet transform type (see Wavelets package); default Haar
      • operator::Bool=true default to LinearMapAO
      • T::Type : Float32 by default; use ComplexF32 if needed

      out

      • A a LinearMapAX object
      • scales array of size dims showing the scale of each coefficient

      which is useful when imposing scale-dependent regularization

      • mfun convenience function for A*X when X is a Matrix or Array (not vector)

      2019-02-23 Jeff Fessler, University of Michigan

      source
      MIRT.Asense — Method
      Asense(samp, smaps; T)

      Construct a MRI encoding operator model for D-dimensional Cartesian sampling pattern samp and coil sensitivity maps smaps.

      The input smaps can either be a D+1 dimensional array of size (size(samp)..., ncoil), or a Vector of ncoil arrays of size size(samp).

      Input

      • samp::AbstractArray{<:Bool} D-dimensional sampling pattern.
      • smaps::Vector{<:AbstractArray{<:Number}} or AbstractArray{<:Number}

      Option

      • T::Type = ComplexF32
      • dims = 1:D apply fft/bfft only along these dimensions
      • fft_forward::Bool = true Use false to have bfft! in forward model.
      • unitary::Bool = false set to true for unitary DFT
      • remaining arguments are passed to plan_fft

      Output

      Returns a LinearMapsAA.LinearMapAO object.

      source
      MIRT._show_struct — Method
      _show_struct(io::IO, ::MIME"text/plain", st::Any)

      Informative way to show fields of a struct (composite type).

      source
      MIRT.caller_name — Method
      caller_name() or caller_name(;level=4)

      Return "filename line fun():" as a string to describe where this function was called.

      Stack levels:

      • 1: #caller_name
      • 2: caller_name()
      • 3: function that invoked caller()
      • 4: the calling function we want to return

      Hence the default level is 4, but we increment it by one in case user says @show caller_name() in which case stack[3] is a macro expansion.

      source
      MIRT.diff_adj — Method
      Z = diff_adj(dx, N::Dims{D} ; dims = 1:D)

      Adjoint of finite differences of arrays along one or more dimensions. By default performs the same operations as $vec(Z) = [(I_{N_d} \otimes \cdots \otimes D_{N_1}); \dots; (D_{N_d} \otimes \cdots \otimes I_{N_1})]' * d$ where D_N denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).

      in

      • dx vector of typical length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1
      • N::Dims desired output size

      option

      • dims dimension(s) for performing adjoint finite differences; default 1:ndims(X)

      out

      • Z N_1 × ... × N_d array by default
      source
      MIRT.diff_forw — Method
      d = diff_forw(X ; dims = 1:ndims(X))

      Finite differences along one or more dimensions of an array, e.g., for anisotropic TV regularization.

      By default performs the same operations as $d = [(I_{N_d} \otimes \cdots \otimes D_{N_1}); \dots; (D_{N_d} \otimes \cdots \otimes I_{N_1})] vec(X)$ where $D_N$ denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).

      Input dimension N must exceed 1 for each dimension specified by dims.

      in

      • X N_1 × ... × N_d array (typically an N-D image).

      option

      • dims dimension(s) for performing finite differences; default 1:ndims(X)

      must have unique elements and be a nonempty subset of 1:ndims(X)

      out

      • d vector of default length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1
      source
      MIRT.diff_map — Method
      T = diff_map(N::Dims{D} ; dims = 1:D)

      in

      • N::Dims image size

      out

      • T LinearMapAA object for computing finite differences via T*x
      source
      MIRT.diffl! — Method
      diffl!(g::AbstractArray, x::AbstractArray, dims::AbstractVector{Int} ; ...)

      When x is a N-dimensional array, the ith slice of the g array (along its last dimension) is the diffl! of x along dims[i]. This is useful for total variation (TV) and other regularizers that need finite differences along multiple dimensions.

      source
      MIRT.diffl! — Method
      diffl!(g::AbstractArray, x::AbstractArray, dim::Int ; ...)

      Apply left finite difference operator to input array x, storing the result "in-place" in pre-allocated output array g. (The letter g is mnemonic for "gradient".)

      Arrays g and x must have the same size, and cannot alias. By default, the "first" elements of g are zero for dimension dim. The default is dim=1.

      Option:

      • add::Bool = false use x[i] + x[i-1] instead of x[i] - x[i-1] (useful for certain diagonal majorizers).
      • edge::Symbol = :zero set the first elements of dimension dim to 0
        • Choose edge=:circ to use circulant (aka periodic) boundary conditions.
        • Choose edge=:none to leave the first elements untouched.

      Example

      julia> x = [2, 6, 7]; g = similar(x); diffl!(g, x)
+3-element Vector{Int64}:
+ 0
+ 4
+ 1
      source
      MIRT.diffl — Method
      g = diffl(x::AbstractArray, dims::AbstractVector{Int} ; ...)

      Allocating version of diffl! for dims

      source
      MIRT.diffl — Method
      g = diffl(x::AbstractArray, dim::Int ; ...)

      Allocating version of diffl! along dim

      Example

      julia> x = [1,2] .+ [10 30 70]; g = diffl(x, 2)
+2×3 Matrix{Int64}:
+ 0  20  40
+ 0  20  40
      source
      MIRT.diffl — Method
      g = diffl(x::AbstractArray ; ...)

      Allocating version of diffl! along dim=1

      source
      MIRT.diffl_adj! — Method
      diffl_adj!(z::AbstractArray, g::AbstractArray, dims::AbstractVector{Int} ; ...)

      Adjoint of diffl! for multiple dimensions dims. Here g must have one more dimension than z.

      source
      MIRT.diffl_adj! — Method
      diffl_adj!(z, g, dim::Int ; ...)

      Adjoint of left finite difference diffl!, in-place. Arrays z and g must be same size. See diffl_adj for details.

      source
      MIRT.diffl_adj — Method
      z = diffl_adj(g::AbstractArray, dim::Int ; ...)

      Allocating version of diffl_adj! along dim.

      Example

      julia> g = ones(Int,2,3); z = diffl_adj(g, 2)
+2×3 Matrix{Int64}:
+ -1  0  1
+ -1  0  1
      source
      MIRT.diffl_adj — Method
      z = diffl_adj(g::AbstractArray ; ...)

      Allocating version of diffl_adj! along dim=1.

      Example

      julia> g = [0, 2, 5]; z = diffl_adj(g)
+3-element Vector{Int64}:
+ -2
+ -3
+  5
      source
      MIRT.diffl_adj — Method
      z = diffl_adj(g::AbstractArray, dims::AbstractVector{Int} ; ...)

      Allocating version of diffl_adj! for dims.

      source
      MIRT.diffl_map — Method
      T = diffl_map(N::Dims{D}, dims::AbstractVector{Int} ; kwargs...)
+T = diffl_map(N::Dims{D}, dim::Int ; kwargs...)

      in

      • N::Dims image size

      options: see diffl!

      • T::Type for LinearMapAA, default Float32
      • operator::Bool = true use false for LinearMapAM

      out

      • T LinearMapAA object for computing finite differences via T*x

      using diffl! and diffl_adj!

      source
      MIRT.downsample1 — Method
      y = downsample1(x, down ; warn=true)

      Downsample 1D vector by factor down.

      in

      • x [n1]
      • down::Int downsampling factor

      option

      • warn::Bool warn if noninteger multiple; default isinteractive()

      out

      • y [n1/down]
      source
      MIRT.downsample2 — Method
      y = downsample2(x, down ; warn=true, T)

      Downsample by averaging by integer factors.

      in

      • x [nx ny]
      • down can be a scalar (same factor for both dimensions) or a NTuple{2,Int}

      option

      • warn::Bool warn if noninteger multiple; default isinteractive()
      • T::Type specify output eltype; default eltype(x[1] / down[1])

      out

      • y [nx/down ny/down]
      source
      MIRT.downsample3 — Method
      y = downsample3(x, down ; warn=true, T)

      Downsample by averaging by integer factors.

      in

      • x (nx,ny,nz)
      • down can be a scalar (same factor for all dimensions) or a NTuple{3,Int}

      option

      • warn::Bool warn if noninteger multiple; default true
      • T::Type specify output eltype; default eltype(x[1] / down[1])

      out

      • y (nx/down,ny/down,nz/down)
      source
      MIRT.downsample_dim1 — Method
      y = downsample_dim1(x, down ; warn::Bool)

      Down-sample x by factor down along first dimension by averaging.

      in

      • x [n1 (Nd)]
      • down::Int downsampling factor

      option

      • warn::Bool warn if non-integer multiple; default isinteractive()

      out

      • y [n1÷down (Nd)]
      source
      MIRT.dtft — Method
      X = dtft(w, x ; n_shift=?)

      multi-dimensional DTFT (DSFT)

      $X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m,:] (n - n_{shift})), m=1,…,M$ where here n is a CartesianIndex

      in

      • w::AbstractMatrix{<:Real} (M,D) frequency locations ("units" radians/sample)
      • x::AbstractArray{<:Number} [(Nd)] D-dimensional signal

      option

      • n_shift::AbstractVector{<:Real} often is N/2; default zeros(D)

      out

      • X::AbstractVector{ComplexF64} (M) DTFT
      source
      MIRT.dtft — Method
      X = dtft(w, x ; n_shift=?)

      1D DTFT

      $X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m] (n - n_{shift})), m=1,…,M$

      in

      • w::AbstractVector{<:Real} (M) frequency locations ("units" radians/sample)
      • x::AbstractVector{<:Number} (N) 1D signal

      option

      • n_shift::Real often is N/2; default 0

      out

      • X::AbstractVector{ComplexF64} [M] DTFT
      source
      MIRT.dtft_adj — Method
      x = dtft_adj(w, X, N ; n_shift=?)

      adjoint for multi-dimensional DTFT (DSFT)

      $x[n] = \sum_{m=1}^M X[m] \exp(i w[m,:] (n - n_{shift})), n=0,…,N-1$ where here n is a CartesianIndex

      in

      • X::AbstractVector{ComplexF64} (M) DTFT
      • w::AbstractMatrix{<:Real} (M,D) frequency locations ("units" radians/sample)
      • N::Dims (D) dimensions of signal x

      option

      • n_shift::AbstractVector{<:Real} often is N/2; default zeros(D)
      • T::Type default (eltype(w) == Float64) ? ComplexF64 : ComplexF32

      out

      • x::AbstractArray{<:Number} [(N)] D-dimensional signal
      source
      MIRT.dtft_adj — Method
      x = dtft_adj(w, X, N ; n_shift=?)

      adjoint for 1D DTFT

      $x[n] = \sum_{m=1}^M X[m] \exp(i w[m] (n - n_{shift})), n=0,…,N-1$

      This is the adjoint (transpose) of dtft, not an inverse DTFT.

      in

      • w::AbstractVector{<:Real} (M) frequency locations ("units" radians/sample)
      • X::AbstractVector{ComplexF64} (M) spectrum values
      • N::Int size of signal x

      option

      • n_shift::Real often is N/2; default 0
      • T::Type output data type; default ComplexF64

      out

      • x::AbstractVector{<:Number} (N) signal
      source
      MIRT.dtft_init — Method
      d = dtft_init(w, N ; n_shift=?)

      for multi-dimensional DTFT (DSFT)

      in

      • w::AbstractMatrix{<:Real} (M,D) frequency locations ("units" radians/sample)
      • N::Dims [D] dimensions of signal x

      option

      • n_shift::AbstractVector{<:Real} often is N/2; default zeros(D)
      • T::Type default ComplexF64 for testing NUFFT accuracy

      out

      • d::NamedTuple with fields dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO
      source
      MIRT.dtft_init — Method
      d = dtft_init(w, N ; n_shift=?)

      For 1D DTFT

      in

      • w::AbstractVector{<:Real} (M) frequency locations ("units" radians/sample)
      • N::Int size of signal x

      option

      • n_shift::Real often is N/2; default 0
      • T::Type default ComplexF64 for testing NUFFT accuracy

      out

      • d::NamedTuple with fields dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO
      source
      MIRT.embed! — Method
      embed!(array, v, mask ; filler=0)

      embed vector v of length sum(mask) into elements of array where mask is true, setting the remaining elements to filler (default 0).

      source
      MIRT.embed — Method
      array = embed(matrix::AbstractMatrix{<:Number}, mask::AbstractArray{Bool})

      Embed each column of matrix into mask then cat along next dimension In:

      • matrix [sum(mask) L]
      • mask [(N)]

      Out:

      • array [(N) L]
      source
      MIRT.embed — Method
      array = embed(v, mask ; filler=0)

      embed vector v of length sum(mask) into elements of an array where mask is true; see embed!.

      source
      MIRT.eql_root — Method
      x = eql_root(a,b,c)

      Numerically stable method for computing the positive root of the quadratic polynomial -ax^2 - 2bx + c, a >= 0. Assumes solvable equations; will throw otherwise.

      in

      • a The negative of the x^2 term. Must be positive.
      • b Half the negative of the x term.
      • c The constant term.

      out

      • x The positive root that satisfies 0 = -ax^2 - 2bx + c.
      source
      MIRT.exp_mult — Method
      D = exp_mult(A, u, v ; warnboth)

      Memory efficient and fast implementation of D = A' * exp(-u * v^T) that is useful for B0-field-corrected MRI image reconstruction.

      in

      • A [N L] matrix
      • u [N] vector
      • v [M] vector
      • warnboth warn if both u and v are complex; default: true

      out

      • D [L M] complex vector: D = A' * exp(-u * v^T)

      D_lm = sum_n A_nl^* exp(-u_n v_m)

      source
      MIRT.exp_xform — Method
      exp_xform(x, u, v ; mode::Symbol = :matrix)

      in

      • x [N L] possibly complex vector(s)
      • u [D N] possibly complex vectors
      • v [D M] possibly complex vectors
      • mode::Symbol :matrix (default) | :element | :row | :column

      out

      • y [M L] typically complex vector

      y[m,l] = sum_n x[n,l] exp(-sum(u[:,n] .* v[:,m]))

      Iterates through subsets of the ML matrix designated by :mode (i.e. row, column, element, or just computing the entire matrix) This is the 'slow' 'exact' transform model for MRI.

      Output type will depend on input types.

      source
      MIRT.genkspace — Method
      genkspace

      Generate the proper length of k-space trajectory.

      It linearly interpolates the output of genspiral to the correct length() & takes care of the rotations for the interleaves.

      • ld is the length of the data
      • nint is the number of interleaves

      Brad Sutton; University of Michigan

      source
      MIRT.genspi — Method
      Gx, Gy, kx, ky, sx, sy, gts = genspi(...)

      This is translation of C code from scanner: exactly what is played out to gradients at 4us.

      Multi-shot spiral design uses Duyn's approximate slewrate limited design augmented with archimedean gmax limit

      in [args]

      • D = FOV; cm

      • N = matrix size()

      • Tmax = longest acquisition allowed; s

      • dts = output sample spacing; s

      • gtype = trajectory type()

      option [CVs]

      • nl = number of interleaves
      • gamp = design grad max; G/cm
      • gslew = design slew rate; mT/m/ms
      • nramp = number of rampdown points; default 0

      out

      • Gx; Gy

      time is in sec()

      • rev 0 12/26/98 original
      • rev 1 4/15/99 little better calc of ts

      Borrowed from Doug Noll; Univ. of Michigan. Modified to take more input cv's.

      source
      MIRT.getindex! — Method
      getindex!(y::AbstractVector, x::AbstractArray{T,D}, mask::AbstractArray{Bool,D})

      Equivalent to the in-place y .= x[mask] but is non-allocating.

      For non-Boolean indexing, just use @views y .= A[index], per https://discourse.julialang.org/t/efficient-non-allocating-in-place-getindex-for-bitarray/42268

      source
      MIRT.interp1 — Method
      yi = interp1(x, y, xi ; how=Gridded(Linear()), extrap=0)

      1D interpolation of y = f(x) at points xi

      In:

      • x::AbstractVector{<:Real}
      • y::AbstractVector{<:Number}

      Option:

      • how::Interpolations.InterpolationType default Gridded(Linear())
      • extrap::Any how to extrapolate, e.g., Flat(); default 0

      other options from Interpolations.jl are Line() Periodic() Reflect() Throw()

      Output is same size as input xi

      source
      MIRT.ir_dump — Method
      ir_dump(x::Any ; io::IO = stdout)
+ir_dump(io::IO, x::Any)

      Show all the fields of a structure or NamedTuple more nicely than dump() does

      source
      MIRT.ir_mri_coil_compress — Method
      (odata, σ, Vr) = ir_mri_coil_compress(idata ; ncoil)

      MRI coil compression via PCA. Given multiple MRI surface coil images (idata), use SVD/PCA to find a smaller number of virtual coil images (odata).

      In:

      • idata [(N) n_in]: noisy complex images (2D or 3D) for each coil

      Option:

      • ncoil Desired # of virtual coils (default: 1)

      Out:

      • odata [(N) ncoil]: virtual coil images
      • σ [n_in]: singular values.
      • Vr [n_in, ncoil]: compression matrix for reducing other data.

      todo: currently ignores noise correlations

      source
      MIRT.ir_mri_kspace_ga_radial — Method
      kspace = ir_mri_kspace_ga_radial(; Nro=?, Nspoke=?, ...)

      Generate k-space sampling pattern for "golden angle" radial sampling.

      option

      • Nro:Int number of samples in each readout/spoke, default 256
      • Nspoke::Int number of spokes, default 1
      • start::Real first angle in series [radians], default π/2
      • angle::Real angular spacing [radians], default GA
      • delta_ro::Real readout spacing, default 1/Nro
      • shift::Real shift due to gradient delays, default 0
        • radial sample locations are ir * delta_ro
        • where ir = [-(Nro/2 - 1):1:Nro/2] + shift

      out

      • kspace [Nro Nspoke 2] (Float32)

      kx and ky k-space locations for Nspoke*Nro samples in interval (-0.5 0.5] for default shift, delta_ro so default units are "cycles / sample"

      source
      MIRT.ir_mri_sensemap_sim — Method
      (smap,info) = ir_mri_sensemap_sim( :all ; kwargs)

      Like ir_mri_sensemap_sim but also returns info with data for all coils, mainly for testing and plotting.

      source
      MIRT.ir_mri_sensemap_sim — Method
      (smap,info) = ir_mri_sensemap_sim( ir_ic_pair ; kwargs)

      Like ir_mri_sensemap_sim but also returns info with data for specific coils where ir_ic_pair::Vector{Tuple{Int,Int}}. (Usually used internally only.)

      • info::NamedTuple geometry information for plots
      source
      MIRT.ir_mri_sensemap_sim — Method
      smap = ir_mri_sensemap_sim(...)

      Simulate 2D or 3D sensitivity maps for sensitivity-encoded MRI based on grivich:00:tmf.

      This code makes maps for multiple coils, but does not model coupling between coils, so most likely it is an approximation at best.

      option

      • dims::Dims image size; default (64, 64)
      • dx::Real pixel/voxel dimension; default: 3
      • dy::Real pixel/voxel dimension; default: dx
      • dz::Real ""
      • ncoil::Int # of coils total; default 4
      • nring::Int # of rings of coils; default 1
      • rcoil::Real coil radius; default dx * nx / 2 * 0.50
      • dz_coil ring spacing in z; default nz*dz/nring
        • (3D geometry is a cylinder)
      • coil_distance::Real distance of coil center from isocenter
        • for central ring of coils as a multiple of FOVx,
        • where FOVx=nx*dx; default 1.2
      • orbit::Real default 360 [degrees]
      • orbit_start::AbstractVector{<:Real} = fill(0, nring) [degrees]
      • scale::Symbol
        • :none (default)
        • ssos_center make SSoS of center = 1

      out

      • smap [dims ncoil] simulated sensitivity maps (complex!)

      All length parameters must have same units (e.g., mm or cm)

      source
      MIRT.ir_mri_smap1 — Method
      ir_mri_smap1()

      Based on grivich:00:tmf for a circular coil in "x-y plane" of radius "a"

      Note that coil x-y plane is not same as object x-y plane!

      Returns (i,j,k) components of $B$ vector for each (x,y,z) location.

      source
      MIRT.jinc — Method
      jinc(x)

      Return jinc(x) = J1(pi*x)/(2x), where J1 is a Bessel function of the first kind.

      Units of x are typically cycles/m.

      Return type is promote_type(typeof(x), Float32).

      source
      MIRT.line_search_mm — Method
      α = line_search_mm(args...; opt, fun, kwargs...)

      Line-search based on majorize-minimize (MM) approach. This is a wrapper around the iterator LineSearchMM. See its constructors for args and other kwargs.

      option

      • fun(state) User-defined function to be evaluated with the state initially and then after each iteration.
      • out::Union{Nothing,Vector{Any}} = nothing optional place to store result of fun for iterates 0,…,ninner: (All missing by default.) This is aVector{Any}of lengthninner+1`.

      output

      • α final iterate

      This function mutates the optional arguments out and work.

      source
      MIRT.make_dot_curvf — Method
      make_dot_curvf(curv::Function, [x, Tf::Type; w = similar(x)])

      Make a function with arguments (v, x) that computes the dot product between abs2.(v) and curv(x) where curv(x) is a curvature function associated with a quadratic majorizer for some real-valued cost function f(x), evaluated at array x, typically for use in a line-search method.

      • For a single-argument gradient function curv(x), this returns the version equivalent to (v, x) -> dot(abs2.(v), curv(x)). This version will be allocating, unless curv has its own internal workspace due to a closure. This version expects only the argument curv.

      • For a two-argument mutating gradient function curv!(w, x), this returns a function equivalent to (v, x) -> dot(abs2.(v), curv!(w, x)) using the keyword argument w as the work array.

      • If curv is simply a real number (a Lipschitz constant), possibly with units, then this returns the function (v, x) -> curv * sum(abs2, v).

      If f(x) maps an Array x of elements with units Ux into real numbers with units Uf, then its curvature has units Uf/Ux^2. Those units are relevant to defining the work array w.

      in

      • curv::Function see above
      • x an array whose size and eltype is used to allocate w

      option

      • Tf::Type = typeof(one(eltype(x))) Specify eltype of function f(x), defaulting to unitless.
      • w = similar(x, typeof(oneunit(Tf) / oneunit(eltype(x))^2)) work space for gradient calculation, with appropriate units (if needed).

      out

      • (v, x) -> dot(abs2.(v), curv([w,] x)) or equivalent.
      source
      MIRT.make_dot_gradf — Method
      make_dot_gradf(grad::Function, [x, Tf::Type; w = similar(x)])

      Make a function with arguments (v, x) that computes the dot product between an array v and the gradient grad(x) of some real-valued cost function f(x), evaluated at array x, typically for use in a line-search method.

      • For a single-argument gradient function grad(x), this returns the version (v, x) -> dot(v, grad(x)). This version will be allocating, unless grad has its own internal workspace due to a closure. This version expects only the argument grad.

      • For a two-argument mutating gradient function grad!(w, x), this returns a function (v, x) -> dot(v, grad!(w, x)) using the keyword argument w as the work array.

      If f(x) maps an Array x of elements with units Ux into real numbers with units Uf, then the gradient ∇f has units Uf/Ux. Those units are relevant to defining the work array w.

      in

      • grad::Function see above
      • x an array whose size and eltype is used to allocate w
      • Tf::Type = typeof(one(eltype(x))) Specify eltype of function f(x), defaulting to unitless.

      option

      • w = similar(x, typeof(oneunit(Tf) / oneunit(eltype(x)))) work space for gradient calculation, with appropriate units (if needed).

      out

      • (v, x) -> dot(v, grad([w,] x)) or equivalent.

      Example. Consider the cost function f(x) = sum(sin.(x)) that has gradient g(x) = cos.(x). The simple way here is make_dot_gradf(g), which will return the function (v, x) = dot(v, g(x)) === dot(v, cos.(x)). That will work fine, but the cos.(x) step will be allocating. A better way (for repeated use) is

      function g!(work, x)
+   @. work = cos(x) # mutating
+   return work
+end

      Then make_dot_gradf(g!, x) will return a function (v,x) that does not allocate (except when first generated via a closure). For this particular example, an even better approach is to directly define dot_gradf(v,x) = sum(vx -> vx[1]*cos(vx[2]), zip(v,x)), but make_dot_gradf is here for more general cases.

      source
      MIRT.map_many — Method
      y = map_many(fun::Function, x::AbstractArray{<:Any}, idim::Dims)

      Apply a function fun to leading slices of input x; cousin of mapslices

      in

      • fun::Function maps input of size idim to output of some size odim
      • x [idim ldim]

      out

      • y [odim ldim]

      Example: if fun maps array of size (1,2) to array of size (3,4,5) and if input x has size (1,2,7,8) then output y will have size (3,4,5,7,8) where y[:,:,:,i,j] = fun(x[:,:,i,j])

      source
      MIRT.mask_or — Method
      mask_or(mask)

      compress 3D mask to 2D by logical or along z direction

      source
      MIRT.max_percent_diff — Method
      max_percent_diff(s1, s2, [options])

      Compute the "maximum percent difference" between two signals: s1, s2.

      Default is to normalize by maximum(abs, s1).

      options

      • maxboth::Bool = false use max of both arguments to normalize
      • normalize::Bool = false normalize each before comparing
      source
      MIRT.mri_kspace_spiral — Method
      kspace, omega, gradxy = mri_kspace_spiral( [options] )

      Make k-space spiral trajectory based on GE 3T scanner constraints

      Option:

      • N dimension of reconstructed image
      • Nt # of time points
      • fov field of view in cm
      • dt time sampling interval out; default 5e-6 sec
      • gamp::Real design gradient amplitude max, G/cm; default 2.2
      • gslew::Int design slew rate, mT/m/ms; default 180

      Out:

      • kspace [Nt,2] kspace trajectory [kx ky] in cycles/cm, NO: cycles/FOV
      • omega [Nt,2] "" in radians
      • gradxy [Nt 2] gradient waveforms in (units?)
      source
      MIRT.mri_trajectory — Method
      kspace, omega, wi = mri_trajectory( ; ktype, N, fov, arg_wi, kwargs...)

      Generate kspace trajectory samples and density compensation functions.

      option

      • ktype::Symbol k-space trajectory type; default :radial
      • N::Dims target image size; default (32,30)
      • fov field of view in x and y (and z); default (250,250) mm
      • arg_wi options to pass to ir_mri_density_comp - not yet done
      • kwargs options for the specific trajectory

      out

      • kspace [Nk 2|3] kspace samples in units 1/fov
      • omega [Nk 2|3] trajectory samples over [-π,π)
      • wi [Nk 1] (optional) density compensation factors

      trajectory types:

      • :cartesian
      • :radial
      • :cart_y_2
      • :random
      • :half8
      • :epi_sin
      • :spiral0 :spiral1 :spiral3
      • :rosette3
      • :epi_under
      • :gads (emulate golden-angle data sharing per winkelmann:07:aor)
      source
      MIRT.mri_trajectory_gads — Method
      omega, wi = mri_trajectory_gads(N, fov ; ...)

      Emulate 2D golden angle radial sampling with data sharing

      option

      • Nro # of samples in each readout/spoke
      • shift shift along read-out due to gradient delays (stress)
      • kmax_frac fractions of maximum krad (0.5) for rings (annuli)
      • under under-sampling factor for each annulus
      source
      MIRT.mri_trajectory_radial — Method
      mri_trajectory_radial()

      option

      • na_nr default ensures proper sampling at edge of k-space
      • na angular spokes; default: na_nr * nr
      • nr radial samples per spoke
      • ir default: 0:nr

      todo: generalize to 3D using barger:02:trc

      source
      MIRT.mri_trajectory_rosette3 — Method
      mri_trajectory_rosette3(N, fov ; ...)

      3d rosette, with default parameters from bucholz:08:miw

      option

      • omax maximum omega
      • nt time samples (65.536 ms for 4 usec dt)
      • dt time sample spacing (4 usec)
      • ti time samples
      source
      MIRT.ncg — Method
      (x,out) = ncg(B, gradf, curvf, x0 ; ...)

      Nonlinear preconditioned conjugate gradient algorithm to minimize a general "inverse problem" cost function of the form $\Psi(x) = \sum_{j=1}^J f_j(B_j x)$ where each function $f_j(v)$ has a quadratic majorizer of the form

      \[q_j(v;u) = f_j(u) + \nabla f_j(u) (v - u) + 1/2 \|v - u\|^2_{C_j(u)}\]

      where $C_j(u)$ is diagonal matrix of curvatures. (It suffices for each $f_j$ to have a Lipschitz smooth gradient.)

      This CG method uses a majorize-minimize (MM) line search.

      in

      • B vector of $J$ blocks $B_1,…,B_J$
      • gradf vector of $J$ functions return gradients of $f_1,…,f_J$
      • curvf vector of $J$ functions z -> curv(z) that return a scalar or a vector of curvature values for each element of $z$
      • x0 initial guess; need length(x) == size(B[j],2) for $j=1,…,J$

      Usually x0 is a Vector but it can be an Array if each B_j is a linear operator (e.g., LinearMapAO) of suitable "dimensions".

      option

      • niter # number of outer iterations; default 50
      • ninner # number of inner iterations of MM line search; default 5
      • P # preconditioner; default I
      • betahow "beta" method for the search direction; default :dai_yuan
      • fun User-defined function to be evaluated with two arguments (x,iter).
        • It is evaluated at (x0,0) and then after each iteration.

      output

      • x final iterate
      • out [niter+1] (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))
        • (all 0 by default). This is an array of length niter+1
      source
      MIRT.ncg — Method
      (x,out) = ncg(grad, curv, x0, ...)

      Special case of ncg (nonlinear CG) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad.

      source
      MIRT.nufft_errors — Method
      w, errs = nufft_errors( ; M=401, w=?, N=513, n_shift=0, ...)

      Compute NUFFT approximation errors (for signal of length N of unit norm), for given digital frequency values w, i.e., Ω. Default w is range(0, 2π/N, M).

      source
      MIRT.nufft_init — Method
      p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=0)

      Setup 1D NUFFT, for computing fast $O(N \log N)$ approximation to

      $X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m] (n - n_{shift})), m=1,…,M$

      in

      • w::AbstractArray{<:Real} [M] frequency locations (aka Ω, units radians/sample)
        • eltype(w) determines the plan_nfft type; so to save memory use Float32!
        • size(w) determines odim for A if operator=true
      • N::Int signal length

      option

      • nfft_m::Int see NFFT.jl documentation; default 4
      • nfft_sigma::Real "", default 2.0
      • n_shift::Real often is N/2; default 0
      • pi_error::Bool throw error if $|w| > π$, default true
        • Set to false only if you are very sure of what you are doing!
      • do_many::Bool support extended inputs via map_many? default true
      • operator::Bool=true set to false to make A an LinearMapAM

      out

      • p NamedTuple

      (nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A::LinearMapAO)

      The default settings are such that for a 1D signal of length N=512, the worst-case error is below 1e-5 which is probably adequate for typical medical imaging applications. To verify this statement, run nufft_plot1() and see plot.

      source
      MIRT.nufft_init — Method
      p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=?)

      Setup multi-dimensional NUFFT, for computing fast $O(N \log N)$ approximation to

      $X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m,:] (n - n_{shift})), m=1,…,M$

      in

      • w::AbstractArray{<:Real} [M,D] frequency locations (aka Ω, units radians/sample)
        • eltype(w) determines the plan_nfft type; so to save memory use Float32!
        • size(w)[1:(end-1)] determines odim if operator=true
      • N::Dims{D} signal dimensions

      option

      • nfft_m::Int see NFFT.jl documentation; default 4
      • nfft_sigma::Real "", default 2.0
      • n_shift::AbstractVector{<:Real} (D) often is N/2; default zeros(D)
      • pi_error::Bool throw error if $|w| > π$, default true
        • Set to false only if you are very sure of what you are doing!
      • do_many::Bool support extended inputs via map_many? default true
      • operator::Bool=true set to false to make A a LinearMapAM

      The default do_many option is designed for parallel MRI where the k-space sampling pattern applies to every coil. It may also be useful for dynamic MRI with repeated sampling patterns. The coil and/or time dimensions must come after the spatial dimensions.

      out

      • p NamedTuple with fields nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A=LinearMapAO (Using operator=true allows the LinearMapAO to support do_many.)
      source
      MIRT.nufft_typer — Method
      nufft_typer(T::Type, x::AbstractArray{<:Real} ; warn::Bool=true)

      type conversion wrapper for nfft()

      source
      MIRT.ogm_ls — Method
      (x,out) = ogm_ls(B, gradf, curvf, x0; niter=?, ninner=?, fun=?)

      OGM with a line search Drori&Taylor to minimize a general "inverse problem" cost function of the form $\Psi(x) = \sum_{j=1}^J f_j(B_j x)$ where each function $f_j(v)$ has a quadratic majorizer of the form

      \[q_j(v;u) = f_j(u) + \nabla f_j(u) (v - u) + 1/2 \|v - u\|^2_{C_j(u)}\]

      where $C_j(u)$ is diagonal matrix of curvatures. (It suffices for each $f_j$ to have a Lipschitz smooth gradient.)

      This OGM method uses a majorize-minimize (MM) line search.

      in

      • B vector of $J$ blocks $B_1,…,B_J$
      • gradf vector of $J$ functions return gradients of $f_1,…,f_J$
      • curvf vector of $J$ functions z -> curv(z) that return a scalar or a vector of curvature values for each element of $z$
      • x0 initial guess; need length(x) == size(B[j],2) for $j=1,…,J$

      option

      • niter # number of outer iterations; default 50
      • ninner # number of inner iterations of MM line search; default 5
      • fun User-defined function to be evaluated with two arguments (x,iter).
      • It is evaluated at (x0,0) and then after each iteration.

      output

      • x final iterate
      • out (niter+1) (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))
        • (all 0 by default). This is a vector of length niter+1.
      source
      MIRT.ogm_ls — Method
      (x,out) = ogm_ls(grad, curv, x0, ...)

      Special case of ogm_ls (OGM with line search) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad.

      source
      MIRT.pogm_restart — Method
      x, out = pogm_restart(x0, Fcost, f_grad, f_L ;
+f_mu=0, mom=:pogm, restart=:gr, restart_cutoff=0.,
+bsig=1, niter=10, g_prox=(z,c)->z, fun=...)

      Iterative proximal algorithms (PGM=ISTA, FPGM=FISTA, POGM) with restart.

      in

      • x0 initial guess
      • Fcost function for computing the cost function value $F(x)$
        • (needed only if restart === :fr)
      • f_grad function for computing the gradient of $f(x)$
      • f_L Lipschitz constant of the gradient of $f(x)$

      option

      • f_mu strong convexity parameter of $f(x)$; default 0.
        • if f_mu > 0, $(\alpha, \beta_k, \gamma_k)$ is chosen by Table 1 in [KF18]
      • g_prox function g_prox(z,c) for the proximal operator for $g(x)$
        • g_prox(z,c) computes $argmin_x 1/2 \|z-x\|^2 + c \, g(x)$
      • mom momentum option
        • :pogm POGM (fastest); default!
        • :fpgm (FISTA), $\gamma_k = 0$
        • :pgm PGM (ISTA), $\beta_k = \gamma_k = 0$
      • restart restart option
        • :gr gradient restart; default!
        • :fr function restart
        • :none no restart
      • restart_cutoff for :gr restart if cos(angle) < this; default 0.
      • bsig gradient "gamma" decrease option (value within [0 1]); default 1
        • see $\bar{\sigma}$ in [KF18]
      • niter number of iterations; default 10
      • fun function(iter, xk, yk, is_restart) user-defined function evaluated each iter with secondary xk, primary yk, and boolean is_restart indicating whether this iteration was a restart

      out

      • x final iterate
        • for PGM (ISTA): $x_N = y_N$
        • for FPGM (FISTA): primary iterate $y_N$
        • for POGM: secondary iterate $x_N$, see [KF18]
      • out [fun(0, x0, x0, false), fun(1, x1, y1, is_restart), ...] array of length [niter+1]

      Optimization Problem: Nonsmooth Composite Convex Minimization

      • $argmin_x F(x), F(x) := f(x) + g(x))$
        • $f(x)$ smooth convex function
        • $g(x)$ convex function, possibly nonsmooth and "proximal-friendly" [CP11]

      Optimization Algorithms:

      Accelerated First-order Algorithms when $g(x) = 0$ [KF18] iterate as below for given coefficients $(\alpha, \beta_k, \gamma_k)$

      • For k = 0,1,...
        • $y_{k+1} = x_k - \alpha f'(x_k)$ : gradient update
        • $x_{k+1} = y_{k+1} + \beta_k (y_{k+1} - y_k) + \gamma_k (y_{k+1} - x_k)$ : momentum update

      Proximal versions of the above for $g(x) \neq 0$ are in the below references, and use the proximal operator $prox_g(z) = argmin_x {1/2\|z-x\|^2 + g(x)}$.

      • Proximal Gradient method (PGM or ISTA) - $\beta_k = \gamma_k = 0$. [BT09]
      • Fast Proximal Gradient Method (FPGM or FISTA) - $\gamma_k = 0$. [BT09]
      • Proximal Optimized Gradient Method (POGM) - [THG15]
      • FPGM(FISTA) with Restart - [OC15]
      • POGM with Restart - [KF18]

      references

      • [CP11] P. L. Combettes, J. C. Pesquet,

      "Proximal splitting methods in signal processing," Fixed-Point Algorithms for Inverse Problems in Science and Engineering, Springer, Optimization and Its Applications, 2011.

      • [KF18] D. Kim, J.A. Fessler,

      "Adaptive restart of the optimized gradient method for convex optimization," 2018 Arxiv:1703.04641, [http://doi.org/10.1007/s10957-018-1287-4]

      • [BT09] A. Beck, M. Teboulle:

      "A fast iterative shrinkage-thresholding algorithm for linear inverse problems," SIAM J. Imaging Sci., 2009.

      • [THG15] A.B. Taylor, J.M. Hendrickx, F. Glineur,

      "Exact worst-case performance of first-order algorithms for composite convex optimization," Arxiv:1512.07516, 2015, SIAM J. Opt. 2017 [http://doi.org/10.1137/16m108104x]

      Copyright 2017-3-31, Donghwan Kim and Jeff Fessler, University of Michigan 2018-08-13 Julia 0.7.0 2019-02-24 interface redesign

      source
      MIRT.poweriter — Method
      v1,σ1 = poweriter(A; niter=?, ...)

      Determine first right singular vector v1 and first singular value σ1 of A by applying power iteration to A'A

      in

      • A M × N matrix

      option

      • niter default 200
      • x0 initial guess of v1
      • tol stopping tolerance for s1, default 1e-6
      • chat::Bool verbose? default false

      out

      • v1 [N] principal right singular vector
      • σ1 spectral norm of A
      source
      MIRT.rect — Method
      rect(x::Real)

      Unit width rect function. Potential problem? Bring up with fess.

      source
      MIRT.reverser — Method
      y = reverser(x, dims)

      reverse array along specified dimensions (or all if unspecified)

      source
      MIRT.rmsd100 — Method
      rmsd = rmsd100(x, y ; mask)

      Compute 100 * RMSD (root mean squared difference) between x and y within domain mask.

      in

      • x : array
      • y : another array of same size

      option

      • mask::Array{Bool} : domain over which to compute the RMSE; default trues(size(x))

      out

      • rmsd : rmsd of x vs y within mask in %
      source
      MIRT.snr2sigma — Method
      snr2sigma(db, yb)

      Convert SNR in dB to noise σ for complex gaussian noise. No sqrt(2) factors is needed here because randn(Complex{Float}) already accounts for that. (See randn documentation.)

      source
      MIRT.@shows — Macro
      @shows expr

      Show the type and size of an expression expr (typically a variable).

      More concise output than @show and typically this is all that is needed when debugging code.

      source
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literal 0 HcmV?d00001 diff --git a/v0.18.0/search_index.js b/v0.18.0/search_index.js new file mode 100644 index 00000000..478454e2 --- /dev/null +++ b/v0.18.0/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"generated/examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"EditURL = \"../../../lit/examples/1-mirt.jl\"","category":"page"},{"location":"generated/examples/1-mirt/#1-mirt","page":"MIRT overview","title":"MIRT overview","text":"","category":"section"},{"location":"generated/examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"The Julia package MIRT.jl provides tools for performing image reconstruction and solving related inverse problems.","category":"page"},{"location":"generated/examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"For more tools and more examples, see JuliaImageRecon","category":"page"},{"location":"generated/examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"","category":"page"},{"location":"generated/examples/1-mirt/","page":"MIRT overview","title":"MIRT overview","text":"This page was generated using Literate.jl.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"EditURL = \"../../../lit/examples/2-nufft.jl\"","category":"page"},{"location":"generated/examples/2-nufft/#2-nufft","page":"NUFFT","title":"NUFFT","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Examples illustrating the nufft methods in the Julia package MIRT.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"The nufft functions in this package are wrappers around NFFT.jl.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"The plots on this page are simply sanity checks about of the approximation error for that package and they help verify the correctness of the wrapper.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This page comes from a single Julia file: 2-nufft.jl.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"You can access the source code for such Julia documentation using the 'Edit on GitHub' link in the top right. You can view the corresponding notebook in nbviewer here: 2-nufft.ipynb, or open it in binder here: 2-nufft.ipynb.","category":"page"},{"location":"generated/examples/2-nufft/#Setup","page":"NUFFT","title":"Setup","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Packages needed here.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"using Plots; default(markerstrokecolor = :auto, label=\"\")\nusing MIRTjim: prompt\nusing MIRT: nufft_init, nufft_errors, dtft\nusing InteractiveUtils: versioninfo","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"The following line is helpful when running this file as a script; this way it will prompt user to hit a key after each figure is displayed.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"isinteractive() && prompt(:prompt);\nnothing #hide","category":"page"},{"location":"generated/examples/2-nufft/#1D-example","page":"NUFFT","title":"1D example","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This code illustrates how to call the NUFFT.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Ω = range(-1,1,301) * π # digital frequencies (radians/sample)\nN = 16 # # of samples\n(nufft, nufft_adjoint, Anufft) = nufft_init(Ω, N)\nx = randn(ComplexF32, N) # random 1D signal\ny1 = nufft(x) # one way to compute NUFFT\ny2 = Anufft * x # another way to compute NUFFT\n@assert y1 == y2\nyd = dtft(Ω, x) # exact (slow) nonuniform discrete Fourier transform\nmaximum(abs, yd - y1) # worst error for this 1D signal","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This plot shows that the NUFFT is very close to the exact nonuniform DFT.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"xticks = ([-π,0,π], [\"-π\", \"0\", \"π\"]); xlims = (-π,π); xlabel=\"Ω\"\np1 = plot(ylabel=\"Real part\"; xlabel, xlims, xticks)\nplot!(Ω, real(y1), label=\"real(NUFFT)\", line=:dash)\nplot!(Ω, real(yd), label=\"real(DTFT)\", line=:dot)\np2 = plot(ylabel=\"Imag part\"; xlabel, xlims, xticks)\nplot!(Ω, imag(y1), label=\"imag(NUFFT)\", line=:dash)\nplot!(Ω, imag(yd), label=\"imag(NUFFT)\", line=:dot)\np3 = plot(Ω, real(yd - y1), label=\"real(Error)\"; xlabel, xlims, xticks)\np4 = plot(Ω, imag(yd - y1), label=\"imag(Error)\"; xlabel, xlims, xticks)\nplot(p1, p2, p3, p4)","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"prompt()","category":"page"},{"location":"generated/examples/2-nufft/#Plot-worst-case-errors-vs-N","page":"NUFFT","title":"Plot worst-case errors vs N","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Plot worst-case error over all frequencies Ω between 0 and 2πN for various N.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Even for N=512 the error is below 4e-6.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Nlist = 2 .^ (4:9)\nNlist = [Nlist..., 191, 385] # test odd N values\nerrfunn = N -> maximum(nufft_errors( ; N)[2])\nelist = errfunn.(Nlist)\npn = scatter(Nlist, elist,\n xtick=Nlist, color=:red, xlabel=\"N\", ylabel=\"error\", yaxis=:log10)","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"prompt()","category":"page"},{"location":"generated/examples/2-nufft/#Plot-error-vs-NFFT-m.","page":"NUFFT","title":"Plot error vs NFFT m.","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"For the default m = 4 the worst-case error is below 4e-6.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"mlist = 3:7\nerrfunm = nfft_m -> maximum(nufft_errors( ; nfft_m)[2])\nworst_m = errfunm.(mlist)\npm = scatter(mlist, worst_m,\n xlabel=\"m\", ylabel=\"error\", color=:magenta, yaxis=:log10)","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"prompt()","category":"page"},{"location":"generated/examples/2-nufft/#Plot-error-vs-NFFT-sigma.","page":"NUFFT","title":"Plot error vs NFFT sigma.","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"For the default σ = 4 the worst-case error is below 4e-6.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"slist = [1.5; 2:6] # σ\nerrfuns = nfft_sigma -> maximum(nufft_errors( ; nfft_sigma)[2])\nworst_s = errfuns.(slist)\nps = scatter(slist, worst_s,\n xlabel=\"σ\", ylabel=\"error\", color=:blue, yaxis=:log10)","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"prompt()","category":"page"},{"location":"generated/examples/2-nufft/#Reproducibility","page":"NUFFT","title":"Reproducibility","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This page was generated with the following version of Julia:","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"using InteractiveUtils: versioninfo\nio = IOBuffer(); versioninfo(io); split(String(take!(io)), '\\n')","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"And with the following package versions","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"import Pkg; Pkg.status()","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This page was generated using Literate.jl.","category":"page"},{"location":"methods/#Methods-list","page":"Methods","title":"Methods list","text":"","category":"section"},{"location":"methods/","page":"Methods","title":"Methods","text":"","category":"page"},{"location":"methods/#Methods-usage","page":"Methods","title":"Methods usage","text":"","category":"section"},{"location":"methods/","page":"Methods","title":"Methods","text":"Modules = [MIRT]","category":"page"},{"location":"methods/#MIRT.MIRT","page":"Methods","title":"MIRT.MIRT","text":"MIRT is the Michigan Image Reconstruction Toolbox\n\n\n\n\n\n","category":"module"},{"location":"methods/#MIRT.LineSearchMM","page":"Methods","title":"MIRT.LineSearchMM","text":"LineSearchMM{...}\n\nMutable struct for MM-based line searches.\n\n\n\n\n\n","category":"type"},{"location":"methods/#MIRT.LineSearchMM-Union{Tuple{Tw}, Tuple{AbstractVector{<:AbstractArray}, AbstractVector{<:AbstractArray}, AbstractVector{<:Function}, AbstractVector{<:Function}}} where Tw<:MIRT.LineSearchMMWork","page":"Methods","title":"MIRT.LineSearchMM","text":"LineSearchMM(gradf, curvf, u, v; α0 ...)\nLineSearchMM(u, v, dot_gradf, dot_curvf; α0 ...)\n\nConstruct iterator for line-search based on majorize-minimize (MM) approach for a general family of 1D cost functions of the form h(α) = sum_j=1^J f_j(u_j + α v_j) where each function f_j(t) has a quadratic majorizer of the form\n\nq_j(ts) = f_j(t) + nabla f_j(s) (t - s) + 12 t - s^2_C_j(s)\n\nwhere C_j() is diagonal matrix of curvatures. (It suffices for each f_j to have a Lipschitz smooth gradient.)\n\nEach function f_j mathcalX_j mathbbR where conceptually mathcalX_j mathbbR^M_j, but we allow more general domains.\n\nThere are two outer constructors (based on the positional arguments):\n\nThe simple way (not type stable) provides\ngradf vector of J functions return gradients of f_1f_J\ncurvf vector of J functions z -> curv(z) that return a scalar or a vector of curvature values for each element of z\nThe fancier way (type stable) provides\ndot_gradf::AbstractVector{<:Function} = make_dot_gradf.(gradf) See make_dot_gradf.\ndot_curvf::AbstractVector{<:Function} = make_dot_curvf.(curvf) See make_dot_curvf.\n\nin\n\nu vector of J arrays u_1u_J (typically vectors)\nv vector of J arrays v_1v_J (typically vectors)\n\nWe require axes(u_j) == axes(v_j) for all j=1J.\n\noption\n\nα0::Real = 0f0 initial guess for step size\nninner::Int = 5 # max number of inner iterations of MM line search\nwork = LineSearchMMWork(u, v, α) pre-allocated work space for u_j+α v_j\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.LineSearchMMWork","page":"Methods","title":"MIRT.LineSearchMMWork","text":"LineSearchMMWork{Tz <: AbstractVector{<:AbstractArray}}\n\nWorkspace for storing z_j = u_j + α v_j in MM-based line search.\n\nIf all of those z_j arrays had the same eltype, then we could save memory by allocating just the longest vector needed. But for Unitful data they could have different eltypes and sizes, which would require a lot of reinterpret and reshape to handle. So we just allocate separate work arrays for each j.\n\n\n\n\n\n","category":"type"},{"location":"methods/#MIRT.Afft-Union{Tuple{AbstractArray{<:Bool, D}}, Tuple{Tw}, Tuple{D}} where {D, Tw<:Number}","page":"Methods","title":"MIRT.Afft","text":"A = Afft(samp::AbstractArray{Bool} ; T, dims, operator, work, ...)\n\nMake a LinearMapAO operator object for (under-sampled) FFT, of type T, using given sampling pattern samp. Especially for compressed sensing MRI with Cartesian sampling.\n\nOption:\n\nT::Type = ComplexF32\ndims = 1:D apply fft/bfft only along these dimensions\nfft_forward::Bool = true Use false to have bfft! in forward model.\noperator::Bool = true set to false to return a LinearMapAM\nwork::AbstractArray work space for in-place fft operations\nremaining arguments are passed to plan_fft\n\nOutput\n\nReturns a LinearMapsAA.LinearMapA[M|O] object.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.Afft-Union{Tuple{Tuple{Vararg{Int64, D}}}, Tuple{Tw}, Tuple{D}, Tuple{Tuple{Vararg{Int64, D}}, Any}} where {D, Tw<:Number}","page":"Methods","title":"MIRT.Afft","text":"A = Afft(xdim::Dims, fdim ; T, operator, unitary, work, ...)\n\nMake a <:LinearMapAX operator object for the FFT of an array of size xdim, along dimensions fdim, of type T.\n\nIn:\n\nxdim::Dims{D} array size\nfdim = 1:D apply fft/bfft only along these dimensions\n\nOption:\n\nT::Type = ComplexF32\noperator::Bool = true return a LinearMapAO set to false to return a LinearMapAM\nunitary::Bool = false set to true for unitary DFT\nwork::AbstractArray work space for in-place fft operations\nremaining arguments are passed to plan_fft\n\nOutput\n\nReturns a LinearMapsAA.LinearMapA[M|O] object.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.Anufft-Tuple{AbstractArray{<:Real}, Int64}","page":"Methods","title":"MIRT.Anufft","text":"Anufft(ω, N ; kwargs ...)\n\nMake a LinearMapAO object of size length(ω) × prod(N). See nufft_init for options.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.Aodwt-Tuple{Tuple{Vararg{Int64, N}} where N}","page":"Methods","title":"MIRT.Aodwt","text":"A, levels, mfun = Aodwt(dims ; level::Int=3, wt=wavelet(WT.haar))\n\nCreate orthogonal discrete wavelet transform (ODWT) LinearMapAA\n\nin\n\ndims::Dims tuple of dimensions\n\noption\n\nlevel::Int # of levels; default 3\nwt wavelet transform type (see Wavelets package); default Haar\noperator::Bool=true default to LinearMapAO\nT::Type : Float32 by default; use ComplexF32 if needed\n\nout\n\nA a LinearMapAX object\nscales array of size dims showing the scale of each coefficient\n\nwhich is useful when imposing scale-dependent regularization\n\nmfun convenience function for A*X when X is a Matrix or Array (not vector)\n\n2019-02-23 Jeff Fessler, University of Michigan\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.Asense-Union{Tuple{Tw}, Tuple{D}, Tuple{AbstractArray{<:Bool, D}, Vector{<:AbstractArray{<:Number}}}} where {D, Tw<:Number}","page":"Methods","title":"MIRT.Asense","text":"Asense(samp, smaps; T)\n\nConstruct a MRI encoding operator model for D-dimensional Cartesian sampling pattern samp and coil sensitivity maps smaps.\n\nThe input smaps can either be a D+1 dimensional array of size (size(samp)..., ncoil), or a Vector of ncoil arrays of size size(samp).\n\nInput\n\nsamp::AbstractArray{<:Bool} D-dimensional sampling pattern.\nsmaps::Vector{<:AbstractArray{<:Number}} or AbstractArray{<:Number}\n\nOption\n\nT::Type = ComplexF32\ndims = 1:D apply fft/bfft only along these dimensions\nfft_forward::Bool = true Use false to have bfft! in forward model.\nunitary::Bool = false set to true for unitary DFT\nremaining arguments are passed to plan_fft\n\nOutput\n\nReturns a LinearMapsAA.LinearMapAO object.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT._show_struct-Tuple{IO, MIME{Symbol(\"text/plain\")}, Any}","page":"Methods","title":"MIRT._show_struct","text":"_show_struct(io::IO, ::MIME\"text/plain\", st::Any)\n\nInformative way to show fields of a struct (composite type).\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.caller_name-Tuple{}","page":"Methods","title":"MIRT.caller_name","text":"caller_name() or caller_name(;level=4)\n\nReturn \"filename line fun():\" as a string to describe where this function was called.\n\nStack levels:\n\n1: #caller_name\n2: caller_name()\n3: function that invoked caller()\n4: the calling function we want to return\n\nHence the default level is 4, but we increment it by one in case user says @show caller_name() in which case stack[3] is a macro expansion.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diff_adj-Union{Tuple{D}, Tuple{AbstractVector{<:Number}, Tuple{Vararg{Int64, D}}}} where D","page":"Methods","title":"MIRT.diff_adj","text":"Z = diff_adj(dx, N::Dims{D} ; dims = 1:D)\n\nAdjoint of finite differences of arrays along one or more dimensions. By default performs the same operations as vec(Z) = (I_N_d otimes cdots otimes D_N_1) dots (D_N_d otimes cdots otimes I_N_1) * d where D_N denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).\n\nin\n\ndx vector of typical length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1\nN::Dims desired output size\n\noption\n\ndims dimension(s) for performing adjoint finite differences; default 1:ndims(X)\n\nout\n\nZ N_1 × ... × N_d array by default\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diff_forw-Union{Tuple{AbstractArray{<:Number, D}}, Tuple{D}} where D","page":"Methods","title":"MIRT.diff_forw","text":"d = diff_forw(X ; dims = 1:ndims(X))\n\nFinite differences along one or more dimensions of an array, e.g., for anisotropic TV regularization.\n\nBy default performs the same operations as d = (I_N_d otimes cdots otimes D_N_1) dots (D_N_d otimes cdots otimes I_N_1) vec(X) where D_N denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).\n\nInput dimension N must exceed 1 for each dimension specified by dims.\n\nin\n\nX N_1 × ... × N_d array (typically an N-D image).\n\noption\n\ndims dimension(s) for performing finite differences; default 1:ndims(X)\n\nmust have unique elements and be a nonempty subset of 1:ndims(X)\n\nout\n\nd vector of default length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diff_map-Union{Tuple{Tuple{Vararg{Int64, D}}}, Tuple{D}} where D","page":"Methods","title":"MIRT.diff_map","text":"T = diff_map(N::Dims{D} ; dims = 1:D)\n\nin\n\nN::Dims image size\n\nout\n\nT LinearMapAA object for computing finite differences via T*x\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl!-Union{Tuple{Nx}, Tuple{Ng}, Tuple{Tx}, Tuple{Tg}, Tuple{AbstractArray{Tg, Ng}, AbstractArray{Tx, Nx}, AbstractVector{Int64}}} where {Tg, Tx, Ng, Nx}","page":"Methods","title":"MIRT.diffl!","text":"diffl!(g::AbstractArray, x::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nWhen x is a N-dimensional array, the ith slice of the g array (along its last dimension) is the diffl! of x along dims[i]. This is useful for total variation (TV) and other regularizers that need finite differences along multiple dimensions.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl!-Union{Tuple{N}, Tuple{Tx}, Tuple{Tg}, Tuple{AbstractArray{Tg, N}, AbstractArray{Tx, N}, Int64}} where {Tg, Tx, N}","page":"Methods","title":"MIRT.diffl!","text":"diffl!(g::AbstractArray, x::AbstractArray, dim::Int ; ...)\n\nApply left finite difference operator to input array x, storing the result \"in-place\" in pre-allocated output array g. (The letter g is mnemonic for \"gradient\".)\n\nArrays g and x must have the same size, and cannot alias. By default, the \"first\" elements of g are zero for dimension dim. The default is dim=1.\n\nOption:\n\nadd::Bool = false use x[i] + x[i-1] instead of x[i] - x[i-1] (useful for certain diagonal majorizers).\nedge::Symbol = :zero set the first elements of dimension dim to 0\nChoose edge=:circ to use circulant (aka periodic) boundary conditions.\nChoose edge=:none to leave the first elements untouched.\n\nExample\n\njulia> x = [2, 6, 7]; g = similar(x); diffl!(g, x)\n3-element Vector{Int64}:\n 0\n 4\n 1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl-Tuple{AbstractArray, AbstractVector{Int64}}","page":"Methods","title":"MIRT.diffl","text":"g = diffl(x::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nAllocating version of diffl! for dims\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl-Tuple{AbstractArray, Int64}","page":"Methods","title":"MIRT.diffl","text":"g = diffl(x::AbstractArray, dim::Int ; ...)\n\nAllocating version of diffl! along dim\n\nExample\n\njulia> x = [1,2] .+ [10 30 70]; g = diffl(x, 2)\n2×3 Matrix{Int64}:\n 0 20 40\n 0 20 40\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl-Tuple{AbstractArray}","page":"Methods","title":"MIRT.diffl","text":"g = diffl(x::AbstractArray ; ...)\n\nAllocating version of diffl! along dim=1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj!-Union{Tuple{Ng}, Tuple{Nz}, Tuple{Tg}, Tuple{Tz}, Tuple{AbstractArray{Tz, Nz}, AbstractArray{Tg, Ng}, AbstractVector{Int64}}} where {Tz, Tg, Nz, Ng}","page":"Methods","title":"MIRT.diffl_adj!","text":"diffl_adj!(z::AbstractArray, g::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nAdjoint of diffl! for multiple dimensions dims. Here g must have one more dimension than z.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj!-Union{Tuple{N}, Tuple{Tg}, Tuple{Tz}, Tuple{AbstractArray{Tz, N}, AbstractArray{Tg, N}, Int64}} where {Tz, Tg, N}","page":"Methods","title":"MIRT.diffl_adj!","text":"diffl_adj!(z, g, dim::Int ; ...)\n\nAdjoint of left finite difference diffl!, in-place. Arrays z and g must be same size. See diffl_adj for details.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj-Tuple{AbstractArray, Int64}","page":"Methods","title":"MIRT.diffl_adj","text":"z = diffl_adj(g::AbstractArray, dim::Int ; ...)\n\nAllocating version of diffl_adj! along dim.\n\nExample\n\njulia> g = ones(Int,2,3); z = diffl_adj(g, 2)\n2×3 Matrix{Int64}:\n -1 0 1\n -1 0 1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj-Tuple{AbstractArray}","page":"Methods","title":"MIRT.diffl_adj","text":"z = diffl_adj(g::AbstractArray ; ...)\n\nAllocating version of diffl_adj! along dim=1.\n\nExample\n\njulia> g = [0, 2, 5]; z = diffl_adj(g)\n3-element Vector{Int64}:\n -2\n -3\n 5\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj-Union{Tuple{N}, Tuple{T}, Tuple{AbstractArray{T, N}, AbstractVector{Int64}}} where {T, N}","page":"Methods","title":"MIRT.diffl_adj","text":"z = diffl_adj(g::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nAllocating version of diffl_adj! for dims.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_map-Union{Tuple{D}, Tuple{Tuple{Vararg{Int64, D}}, AbstractVector{Int64}}} where D","page":"Methods","title":"MIRT.diffl_map","text":"T = diffl_map(N::Dims{D}, dims::AbstractVector{Int} ; kwargs...)\nT = diffl_map(N::Dims{D}, dim::Int ; kwargs...)\n\nin\n\nN::Dims image size\n\noptions: see diffl!\n\nT::Type for LinearMapAA, default Float32\noperator::Bool = true use false for LinearMapAM\n\nout\n\nT LinearMapAA object for computing finite differences via T*x\n\nusing diffl! and diffl_adj!\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.downsample1-Tuple{AbstractVector{<:Number}, Int64}","page":"Methods","title":"MIRT.downsample1","text":"y = downsample1(x, down ; warn=true)\n\nDownsample 1D vector by factor down.\n\nin\n\nx [n1]\ndown::Int downsampling factor\n\noption\n\nwarn::Bool warn if noninteger multiple; default isinteractive()\n\nout\n\ny [n1/down]\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.downsample2-Tuple{AbstractMatrix{<:Number}, Tuple{Int64, Int64}}","page":"Methods","title":"MIRT.downsample2","text":"y = downsample2(x, down ; warn=true, T)\n\nDownsample by averaging by integer factors.\n\nin\n\nx [nx ny]\ndown can be a scalar (same factor for both dimensions) or a NTuple{2,Int}\n\noption\n\nwarn::Bool warn if noninteger multiple; default isinteractive()\nT::Type specify output eltype; default eltype(x[1] / down[1])\n\nout\n\ny [nx/down ny/down]\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.downsample3-Tuple{AbstractArray{<:Number, 3}, Tuple{Int64, Int64, Int64}}","page":"Methods","title":"MIRT.downsample3","text":"y = downsample3(x, down ; warn=true, T)\n\nDownsample by averaging by integer factors.\n\nin\n\nx (nx,ny,nz)\ndown can be a scalar (same factor for all dimensions) or a NTuple{3,Int}\n\noption\n\nwarn::Bool warn if noninteger multiple; default true\nT::Type specify output eltype; default eltype(x[1] / down[1])\n\nout\n\ny (nx/down,ny/down,nz/down)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.downsample_dim1-Tuple{AbstractArray{<:Number}, Int64}","page":"Methods","title":"MIRT.downsample_dim1","text":"y = downsample_dim1(x, down ; warn::Bool)\n\nDown-sample x by factor down along first dimension by averaging.\n\nin\n\nx [n1 (Nd)]\ndown::Int downsampling factor\n\noption\n\nwarn::Bool warn if non-integer multiple; default isinteractive()\n\nout\n\ny [n1÷down (Nd)]\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft-Tuple{AbstractMatrix{<:Real}, AbstractMatrix{<:Number}}","page":"Methods","title":"MIRT.dtft","text":"X = dtft(w, x ; n_shift=?)\n\nmulti-dimensional DTFT (DSFT)\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M where here n is a CartesianIndex\n\nin\n\nw::AbstractMatrix{<:Real} (M,D) frequency locations (\"units\" radians/sample)\nx::AbstractArray{<:Number} [(Nd)] D-dimensional signal\n\noption\n\nn_shift::AbstractVector{<:Real} often is N/2; default zeros(D)\n\nout\n\nX::AbstractVector{ComplexF64} (M) DTFT\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft-Tuple{AbstractVector{<:Real}, AbstractVector{<:Number}}","page":"Methods","title":"MIRT.dtft","text":"X = dtft(w, x ; n_shift=?)\n\n1D DTFT\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M\n\nin\n\nw::AbstractVector{<:Real} (M) frequency locations (\"units\" radians/sample)\nx::AbstractVector{<:Number} (N) 1D signal\n\noption\n\nn_shift::Real often is N/2; default 0\n\nout\n\nX::AbstractVector{ComplexF64} [M] DTFT\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft_adj-Tuple{AbstractMatrix{<:Real}, AbstractVector{<:Number}, Tuple{Vararg{Int64, N}} where N}","page":"Methods","title":"MIRT.dtft_adj","text":"x = dtft_adj(w, X, N ; n_shift=?)\n\nadjoint for multi-dimensional DTFT (DSFT)\n\nxn = sum_m=1^M Xm exp(i wm (n - n_shift)) n=0N-1 where here n is a CartesianIndex\n\nin\n\nX::AbstractVector{ComplexF64} (M) DTFT\nw::AbstractMatrix{<:Real} (M,D) frequency locations (\"units\" radians/sample)\nN::Dims (D) dimensions of signal x\n\noption\n\nn_shift::AbstractVector{<:Real} often is N/2; default zeros(D)\nT::Type default (eltype(w) == Float64) ? ComplexF64 : ComplexF32\n\nout\n\nx::AbstractArray{<:Number} [(N)] D-dimensional signal\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft_adj-Tuple{AbstractVector{<:Real}, AbstractVector{<:Number}, Int64}","page":"Methods","title":"MIRT.dtft_adj","text":"x = dtft_adj(w, X, N ; n_shift=?)\n\nadjoint for 1D DTFT\n\nxn = sum_m=1^M Xm exp(i wm (n - n_shift)) n=0N-1\n\nThis is the adjoint (transpose) of dtft, not an inverse DTFT.\n\nin\n\nw::AbstractVector{<:Real} (M) frequency locations (\"units\" radians/sample)\nX::AbstractVector{ComplexF64} (M) spectrum values\nN::Int size of signal x\n\noption\n\nn_shift::Real often is N/2; default 0\nT::Type output data type; default ComplexF64\n\nout\n\nx::AbstractVector{<:Number} (N) signal\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft_init-Tuple{AbstractMatrix{<:Real}, Tuple{Vararg{Int64, N}} where N}","page":"Methods","title":"MIRT.dtft_init","text":"d = dtft_init(w, N ; n_shift=?)\n\nfor multi-dimensional DTFT (DSFT)\n\nin\n\nw::AbstractMatrix{<:Real} (M,D) frequency locations (\"units\" radians/sample)\nN::Dims [D] dimensions of signal x\n\noption\n\nn_shift::AbstractVector{<:Real} often is N/2; default zeros(D)\nT::Type default ComplexF64 for testing NUFFT accuracy\n\nout\n\nd::NamedTuple with fields dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft_init-Tuple{AbstractVector{<:Real}, Int64}","page":"Methods","title":"MIRT.dtft_init","text":"d = dtft_init(w, N ; n_shift=?)\n\nFor 1D DTFT\n\nin\n\nw::AbstractVector{<:Real} (M) frequency locations (\"units\" radians/sample)\nN::Int size of signal x\n\noption\n\nn_shift::Real often is N/2; default 0\nT::Type default ComplexF64 for testing NUFFT accuracy\n\nout\n\nd::NamedTuple with fields dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.embed!-Union{Tuple{D}, Tuple{T}, Tuple{AbstractArray{T, D}, AbstractVector{<:Number}, AbstractArray{Bool, D}}} where {T, D}","page":"Methods","title":"MIRT.embed!","text":"embed!(array, v, mask ; filler=0)\n\nembed vector v of length sum(mask) into elements of array where mask is true, setting the remaining elements to filler (default 0).\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.embed-Tuple{AbstractMatrix{<:Number}, AbstractArray{Bool}}","page":"Methods","title":"MIRT.embed","text":"array = embed(matrix::AbstractMatrix{<:Number}, mask::AbstractArray{Bool})\n\nEmbed each column of matrix into mask then cat along next dimension In:\n\nmatrix [sum(mask) L]\nmask [(N)]\n\nOut:\n\narray [(N) L]\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.embed-Union{Tuple{T}, Tuple{AbstractVector{T}, AbstractArray{Bool}}} where T<:Number","page":"Methods","title":"MIRT.embed","text":"array = embed(v, mask ; filler=0)\n\nembed vector v of length sum(mask) into elements of an array where mask is true; see embed!.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.eql_root-Tuple{Real, Real, Real}","page":"Methods","title":"MIRT.eql_root","text":"x = eql_root(a,b,c)\n\nNumerically stable method for computing the positive root of the quadratic polynomial -ax^2 - 2bx + c, a >= 0. Assumes solvable equations; will throw otherwise.\n\nin\n\na The negative of the x^2 term. Must be positive.\nb Half the negative of the x term.\nc The constant term.\n\nout\n\nx The positive root that satisfies 0 = -ax^2 - 2bx + c.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.exp_mult-Tuple{Any, AbstractVector{<:Number}, AbstractVector{<:Number}}","page":"Methods","title":"MIRT.exp_mult","text":"D = exp_mult(A, u, v ; warnboth)\n\nMemory efficient and fast implementation of D = A' * exp(-u * v^T) that is useful for B0-field-corrected MRI image reconstruction.\n\nin\n\nA [N L] matrix\nu [N] vector\nv [M] vector\nwarnboth warn if both u and v are complex; default: true\n\nout\n\nD [L M] complex vector: D = A' * exp(-u * v^T)\n\nD_lm = sum_n A_nl^* exp(-u_n v_m)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.exp_xform-Tuple{AbstractMatrix{<:Number}, AbstractMatrix{<:Number}, AbstractMatrix{<:Number}}","page":"Methods","title":"MIRT.exp_xform","text":"exp_xform(x, u, v ; mode::Symbol = :matrix)\n\nin\n\nx [N L] possibly complex vector(s)\nu [D N] possibly complex vectors\nv [D M] possibly complex vectors\nmode::Symbol :matrix (default) | :element | :row | :column\n\nout\n\ny [M L] typically complex vector\n\ny[m,l] = sum_n x[n,l] exp(-sum(u[:,n] .* v[:,m]))\n\nIterates through subsets of the ML matrix designated by :mode (i.e. row, column, element, or just computing the entire matrix) This is the 'slow' 'exact' transform model for MRI.\n\nOutput type will depend on input types.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.genkspace-NTuple{8, Any}","page":"Methods","title":"MIRT.genkspace","text":"genkspace\n\nGenerate the proper length of k-space trajectory.\n\nIt linearly interpolates the output of genspiral to the correct length() & takes care of the rotations for the interleaves.\n\nld is the length of the data\nnint is the number of interleaves\n\nBrad Sutton; University of Michigan\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.genspi-Tuple{Any, Any}","page":"Methods","title":"MIRT.genspi","text":"Gx, Gy, kx, ky, sx, sy, gts = genspi(...)\n\nThis is translation of C code from scanner: exactly what is played out to gradients at 4us.\n\nMulti-shot spiral design uses Duyn's approximate slewrate limited design augmented with archimedean gmax limit\n\nin [args]\n\nD = FOV; cm\nN = matrix size()\nTmax = longest acquisition allowed; s\ndts = output sample spacing; s\ngtype = trajectory type()\n\noption [CVs]\n\nnl = number of interleaves\ngamp = design grad max; G/cm\ngslew = design slew rate; mT/m/ms\nnramp = number of rampdown points; default 0\n\nout\n\nGx; Gy\n\ntime is in sec()\n\nrev 0 12/26/98 original\nrev 1 4/15/99 little better calc of ts\n\nBorrowed from Doug Noll; Univ. of Michigan. Modified to take more input cv's.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.getindex!-Union{Tuple{D}, Tuple{T}, Tuple{AbstractVector, AbstractArray{T, D}, AbstractArray{Bool, D}}} where {T, D}","page":"Methods","title":"MIRT.getindex!","text":"getindex!(y::AbstractVector, x::AbstractArray{T,D}, mask::AbstractArray{Bool,D})\n\nEquivalent to the in-place y .= x[mask] but is non-allocating.\n\nFor non-Boolean indexing, just use @views y .= A[index], per https://discourse.julialang.org/t/efficient-non-allocating-in-place-getindex-for-bitarray/42268\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.interp1-Tuple{AbstractVector{<:Real}, AbstractVector{<:Number}, Any}","page":"Methods","title":"MIRT.interp1","text":"yi = interp1(x, y, xi ; how=Gridded(Linear()), extrap=0)\n\n1D interpolation of y = f(x) at points xi\n\nIn:\n\nx::AbstractVector{<:Real}\ny::AbstractVector{<:Number}\n\nOption:\n\nhow::Interpolations.InterpolationType default Gridded(Linear())\nextrap::Any how to extrapolate, e.g., Flat(); default 0\n\nother options from Interpolations.jl are Line() Periodic() Reflect() Throw()\n\nOutput is same size as input xi\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_dump-Tuple{Any}","page":"Methods","title":"MIRT.ir_dump","text":"ir_dump(x::Any ; io::IO = stdout)\nir_dump(io::IO, x::Any)\n\nShow all the fields of a structure or NamedTuple more nicely than dump() does\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_load_brainweb_t1_256-Tuple{}","page":"Methods","title":"MIRT.ir_load_brainweb_t1_256","text":"data = ir_load_brainweb_t1_256()\n\nLoad brainweb T1-weighted MRI slice of size 256 × 256.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_coil_compress-Tuple{AbstractArray{<:Number}}","page":"Methods","title":"MIRT.ir_mri_coil_compress","text":"(odata, σ, Vr) = ir_mri_coil_compress(idata ; ncoil)\n\nMRI coil compression via PCA. Given multiple MRI surface coil images (idata), use SVD/PCA to find a smaller number of virtual coil images (odata).\n\nIn:\n\nidata [(N) n_in]: noisy complex images (2D or 3D) for each coil\n\nOption:\n\nncoil Desired # of virtual coils (default: 1)\n\nOut:\n\nodata [(N) ncoil]: virtual coil images\nσ [n_in]: singular values.\nVr [n_in, ncoil]: compression matrix for reducing other data.\n\ntodo: currently ignores noise correlations\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_kspace_ga_radial-Tuple{}","page":"Methods","title":"MIRT.ir_mri_kspace_ga_radial","text":"kspace = ir_mri_kspace_ga_radial(; Nro=?, Nspoke=?, ...)\n\nGenerate k-space sampling pattern for \"golden angle\" radial sampling.\n\noption\n\nNro:Int number of samples in each readout/spoke, default 256\nNspoke::Int number of spokes, default 1\nstart::Real first angle in series [radians], default π/2\nangle::Real angular spacing [radians], default GA\ndelta_ro::Real readout spacing, default 1/Nro\nshift::Real shift due to gradient delays, default 0\nradial sample locations are ir * delta_ro\nwhere ir = [-(Nro/2 - 1):1:Nro/2] + shift\n\nout\n\nkspace [Nro Nspoke 2] (Float32)\n\nkx and ky k-space locations for Nspoke*Nro samples in interval (-0.5 0.5] for default shift, delta_ro so default units are \"cycles / sample\"\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_sensemap_sim-Tuple{Symbol}","page":"Methods","title":"MIRT.ir_mri_sensemap_sim","text":"(smap,info) = ir_mri_sensemap_sim( :all ; kwargs)\n\nLike ir_mri_sensemap_sim but also returns info with data for all coils, mainly for testing and plotting.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_sensemap_sim-Tuple{Vector{Tuple{Int64, Int64}}}","page":"Methods","title":"MIRT.ir_mri_sensemap_sim","text":"(smap,info) = ir_mri_sensemap_sim( ir_ic_pair ; kwargs)\n\nLike ir_mri_sensemap_sim but also returns info with data for specific coils where ir_ic_pair::Vector{Tuple{Int,Int}}. (Usually used internally only.)\n\ninfo::NamedTuple geometry information for plots\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_sensemap_sim-Tuple{}","page":"Methods","title":"MIRT.ir_mri_sensemap_sim","text":"smap = ir_mri_sensemap_sim(...)\n\nSimulate 2D or 3D sensitivity maps for sensitivity-encoded MRI based on grivich:00:tmf.\n\nThis code makes maps for multiple coils, but does not model coupling between coils, so most likely it is an approximation at best.\n\noption\n\ndims::Dims image size; default (64, 64)\ndx::Real pixel/voxel dimension; default: 3\ndy::Real pixel/voxel dimension; default: dx\ndz::Real \"\"\nncoil::Int # of coils total; default 4\nnring::Int # of rings of coils; default 1\nrcoil::Real coil radius; default dx * nx / 2 * 0.50\ndz_coil ring spacing in z; default nz*dz/nring\n(3D geometry is a cylinder)\ncoil_distance::Real distance of coil center from isocenter\nfor central ring of coils as a multiple of FOVx,\nwhere FOVx=nx*dx; default 1.2\norbit::Real default 360 [degrees]\norbit_start::AbstractVector{<:Real} = fill(0, nring) [degrees]\nscale::Symbol\n:none (default)\nssos_center make SSoS of center = 1\n\nout\n\nsmap [dims ncoil] simulated sensitivity maps (complex!)\n\nAll length parameters must have same units (e.g., mm or cm)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_sensemap_sim_do-NTuple{14, Any}","page":"Methods","title":"MIRT.ir_mri_sensemap_sim_do","text":"(smap, info) = ir_mri_sensemap_sim_do()\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_smap1-NTuple{4, Any}","page":"Methods","title":"MIRT.ir_mri_smap1","text":"ir_mri_smap1()\n\nBased on grivich:00:tmf for a circular coil in \"x-y plane\" of radius \"a\"\n\nNote that coil x-y plane is not same as object x-y plane!\n\nReturns (i,j,k) components of B vector for each (x,y,z) location.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_smap_r-Tuple{Any, Any}","page":"Methods","title":"MIRT.ir_mri_smap_r","text":"ir_mri_smap_r(r, z)\n\nFunction for testing near 0.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.jinc-Tuple{Real}","page":"Methods","title":"MIRT.jinc","text":"jinc(x)\n\nReturn jinc(x) = J1(pi*x)/(2x), where J1 is a Bessel function of the first kind.\n\nUnits of x are typically cycles/m.\n\nReturn type is promote_type(typeof(x), Float32).\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.line_search_mm-Tuple","page":"Methods","title":"MIRT.line_search_mm","text":"α = line_search_mm(args...; opt, fun, kwargs...)\n\nLine-search based on majorize-minimize (MM) approach. This is a wrapper around the iterator LineSearchMM. See its constructors for args and other kwargs.\n\noption\n\nfun(state) User-defined function to be evaluated with the state initially and then after each iteration.\nout::Union{Nothing,Vector{Any}} = nothing optional place to store result of fun for iterates 0,…,ninner: (All missing by default.) This is aVector{Any}of lengthninner+1`.\n\noutput\n\nα final iterate\n\nThis function mutates the optional arguments out and work.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.make_dot_curvf-Union{Tuple{Tw}, Tuple{Tx}, Tuple{Function, AbstractArray{Tx}}, Tuple{Function, AbstractArray{Tx}, Type{<:Number}}} where {Tx<:Number, Tw<:Number}","page":"Methods","title":"MIRT.make_dot_curvf","text":"make_dot_curvf(curv::Function, [x, Tf::Type; w = similar(x)])\n\nMake a function with arguments (v, x) that computes the dot product between abs2.(v) and curv(x) where curv(x) is a curvature function associated with a quadratic majorizer for some real-valued cost function f(x), evaluated at array x, typically for use in a line-search method.\n\nFor a single-argument gradient function curv(x), this returns the version equivalent to (v, x) -> dot(abs2.(v), curv(x)). This version will be allocating, unless curv has its own internal workspace due to a closure. This version expects only the argument curv.\nFor a two-argument mutating gradient function curv!(w, x), this returns a function equivalent to (v, x) -> dot(abs2.(v), curv!(w, x)) using the keyword argument w as the work array.\nIf curv is simply a real number (a Lipschitz constant), possibly with units, then this returns the function (v, x) -> curv * sum(abs2, v).\n\nIf f(x) maps an Array x of elements with units Ux into real numbers with units Uf, then its curvature has units Uf/Ux^2. Those units are relevant to defining the work array w.\n\nin\n\ncurv::Function see above\nx an array whose size and eltype is used to allocate w\n\noption\n\nTf::Type = typeof(one(eltype(x))) Specify eltype of function f(x), defaulting to unitless.\nw = similar(x, typeof(oneunit(Tf) / oneunit(eltype(x))^2)) work space for gradient calculation, with appropriate units (if needed).\n\nout\n\n(v, x) -> dot(abs2.(v), curv([w,] x)) or equivalent.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.make_dot_gradf-Union{Tuple{Tw}, Tuple{Tx}, Tuple{Function, AbstractArray{Tx}}, Tuple{Function, AbstractArray{Tx}, Type{<:Number}}} where {Tx<:Number, Tw<:Number}","page":"Methods","title":"MIRT.make_dot_gradf","text":"make_dot_gradf(grad::Function, [x, Tf::Type; w = similar(x)])\n\nMake a function with arguments (v, x) that computes the dot product between an array v and the gradient grad(x) of some real-valued cost function f(x), evaluated at array x, typically for use in a line-search method.\n\nFor a single-argument gradient function grad(x), this returns the version (v, x) -> dot(v, grad(x)). This version will be allocating, unless grad has its own internal workspace due to a closure. This version expects only the argument grad.\nFor a two-argument mutating gradient function grad!(w, x), this returns a function (v, x) -> dot(v, grad!(w, x)) using the keyword argument w as the work array.\n\nIf f(x) maps an Array x of elements with units Ux into real numbers with units Uf, then the gradient ∇f has units Uf/Ux. Those units are relevant to defining the work array w.\n\nin\n\ngrad::Function see above\nx an array whose size and eltype is used to allocate w\nTf::Type = typeof(one(eltype(x))) Specify eltype of function f(x), defaulting to unitless.\n\noption\n\nw = similar(x, typeof(oneunit(Tf) / oneunit(eltype(x)))) work space for gradient calculation, with appropriate units (if needed).\n\nout\n\n(v, x) -> dot(v, grad([w,] x)) or equivalent.\n\nExample. Consider the cost function f(x) = sum(sin.(x)) that has gradient g(x) = cos.(x). The simple way here is make_dot_gradf(g), which will return the function (v, x) = dot(v, g(x)) === dot(v, cos.(x)). That will work fine, but the cos.(x) step will be allocating. A better way (for repeated use) is\n\nfunction g!(work, x)\n @. work = cos(x) # mutating\n return work\nend\n\nThen make_dot_gradf(g!, x) will return a function (v,x) that does not allocate (except when first generated via a closure). For this particular example, an even better approach is to directly define dot_gradf(v,x) = sum(vx -> vx[1]*cos(vx[2]), zip(v,x)), but make_dot_gradf is here for more general cases.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.map_many-Tuple{Function, AbstractArray, Tuple{Vararg{Int64, N}} where N}","page":"Methods","title":"MIRT.map_many","text":"y = map_many(fun::Function, x::AbstractArray{<:Any}, idim::Dims)\n\nApply a function fun to leading slices of input x; cousin of mapslices\n\nin\n\nfun::Function maps input of size idim to output of some size odim\nx [idim ldim]\n\nout\n\ny [odim ldim]\n\nExample: if fun maps array of size (1,2) to array of size (3,4,5) and if input x has size (1,2,7,8) then output y will have size (3,4,5,7,8) where y[:,:,:,i,j] = fun(x[:,:,i,j])\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mask_or-Tuple{AbstractMatrix{Bool}}","page":"Methods","title":"MIRT.mask_or","text":"mask_or(mask)\n\ncompress 3D mask to 2D by logical or along z direction\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mask_outline-Tuple{AbstractMatrix{Bool}}","page":"Methods","title":"MIRT.mask_outline","text":"mask_outline(mask)\n\nreturn outer boundary of 2D mask (or mask_or for 3D)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.maskit-Tuple{AbstractArray{<:Number}, AbstractArray{Bool}}","page":"Methods","title":"MIRT.maskit","text":"maskit(x::AbstractArray{<:Number})\n\nopposite of embed\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.max_percent_diff-Tuple{Any, Any}","page":"Methods","title":"MIRT.max_percent_diff","text":"max_percent_diff(s1, s2, [options])\n\nCompute the \"maximum percent difference\" between two signals: s1, s2.\n\nDefault is to normalize by maximum(abs, s1).\n\noptions\n\nmaxboth::Bool = false use max of both arguments to normalize\nnormalize::Bool = false normalize each before comparing\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_kspace_spiral-Tuple{}","page":"Methods","title":"MIRT.mri_kspace_spiral","text":"kspace, omega, gradxy = mri_kspace_spiral( [options] )\n\nMake k-space spiral trajectory based on GE 3T scanner constraints\n\nOption:\n\nN dimension of reconstructed image\nNt # of time points\nfov field of view in cm\ndt time sampling interval out; default 5e-6 sec\ngamp::Real design gradient amplitude max, G/cm; default 2.2\ngslew::Int design slew rate, mT/m/ms; default 180\n\nOut:\n\nkspace [Nt,2] kspace trajectory [kx ky] in cycles/cm, NO: cycles/FOV\nomega [Nt,2] \"\" in radians\ngradxy [Nt 2] gradient waveforms in (units?)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_trajectory-Union{Tuple{}, Tuple{D}} where D","page":"Methods","title":"MIRT.mri_trajectory","text":"kspace, omega, wi = mri_trajectory( ; ktype, N, fov, arg_wi, kwargs...)\n\nGenerate kspace trajectory samples and density compensation functions.\n\noption\n\nktype::Symbol k-space trajectory type; default :radial\nN::Dims target image size; default (32,30)\nfov field of view in x and y (and z); default (250,250) mm\narg_wi options to pass to ir_mri_density_comp - not yet done\nkwargs options for the specific trajectory\n\nout\n\nkspace [Nk 2|3] kspace samples in units 1/fov\nomega [Nk 2|3] trajectory samples over [-π,π)\nwi [Nk 1] (optional) density compensation factors\n\ntrajectory types:\n\n:cartesian\n:radial\n:cart_y_2\n:random\n:half8\n:epi_sin\n:spiral0 :spiral1 :spiral3\n:rosette3\n:epi_under\n:gads (emulate golden-angle data sharing per winkelmann:07:aor)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_trajectory_gads-Union{Tuple{Nring}, Tuple{Tuple{Vararg{Int64, N}} where N, Any}} where Nring","page":"Methods","title":"MIRT.mri_trajectory_gads","text":"omega, wi = mri_trajectory_gads(N, fov ; ...)\n\nEmulate 2D golden angle radial sampling with data sharing\n\noption\n\nNro # of samples in each readout/spoke\nshift shift along read-out due to gradient delays (stress)\nkmax_frac fractions of maximum krad (0.5) for rings (annuli)\nunder under-sampling factor for each annulus\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_trajectory_radial-Tuple{Tuple{Vararg{Int64, N}} where N, Any}","page":"Methods","title":"MIRT.mri_trajectory_radial","text":"mri_trajectory_radial()\n\noption\n\nna_nr default ensures proper sampling at edge of k-space\nna angular spokes; default: na_nr * nr\nnr radial samples per spoke\nir default: 0:nr\n\ntodo: generalize to 3D using barger:02:trc\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_trajectory_rosette3-Tuple{Any, Any}","page":"Methods","title":"MIRT.mri_trajectory_rosette3","text":"mri_trajectory_rosette3(N, fov ; ...)\n\n3d rosette, with default parameters from bucholz:08:miw\n\noption\n\nomax maximum omega\nnt time samples (65.536 ms for 4 usec dt)\ndt time sample spacing (4 usec)\nti time samples\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ncg-Tuple{AbstractVector, AbstractVector{<:Function}, AbstractVector{<:Function}, AbstractArray{<:Number}}","page":"Methods","title":"MIRT.ncg","text":"(x,out) = ncg(B, gradf, curvf, x0 ; ...)\n\nNonlinear preconditioned conjugate gradient algorithm to minimize a general \"inverse problem\" cost function of the form Psi(x) = sum_j=1^J f_j(B_j x) where each function f_j(v) has a quadratic majorizer of the form\n\nq_j(vu) = f_j(u) + nabla f_j(u) (v - u) + 12 v - u^2_C_j(u)\n\nwhere C_j(u) is diagonal matrix of curvatures. (It suffices for each f_j to have a Lipschitz smooth gradient.)\n\nThis CG method uses a majorize-minimize (MM) line search.\n\nin\n\nB vector of J blocks B_1B_J\ngradf vector of J functions return gradients of f_1f_J\ncurvf vector of J functions z -> curv(z) that return a scalar or a vector of curvature values for each element of z\nx0 initial guess; need length(x) == size(B[j],2) for j=1J\n\nUsually x0 is a Vector but it can be an Array if each B_j is a linear operator (e.g., LinearMapAO) of suitable \"dimensions\".\n\noption\n\nniter # number of outer iterations; default 50\nninner # number of inner iterations of MM line search; default 5\nP # preconditioner; default I\nbetahow \"beta\" method for the search direction; default :dai_yuan\nfun User-defined function to be evaluated with two arguments (x,iter).\nIt is evaluated at (x0,0) and then after each iteration.\n\noutput\n\nx final iterate\nout [niter+1] (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))\n(all 0 by default). This is an array of length niter+1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ncg-Tuple{Function, Function, AbstractArray{<:Number}}","page":"Methods","title":"MIRT.ncg","text":"(x,out) = ncg(grad, curv, x0, ...)\n\nSpecial case of ncg (nonlinear CG) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_eltype-Tuple{Type{<:Integer}}","page":"Methods","title":"MIRT.nufft_eltype","text":"nufft_eltype(::Type)\n\nensure plan_nfft eltype is Float32 or Float64\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_errors-Tuple{}","page":"Methods","title":"MIRT.nufft_errors","text":"w, errs = nufft_errors( ; M=401, w=?, N=513, n_shift=0, ...)\n\nCompute NUFFT approximation errors (for signal of length N of unit norm), for given digital frequency values w, i.e., Ω. Default w is range(0, 2π/N, M).\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_init-Tuple{AbstractArray{<:Real}, Int64}","page":"Methods","title":"MIRT.nufft_init","text":"p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=0)\n\nSetup 1D NUFFT, for computing fast O(N log N) approximation to\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M\n\nin\n\nw::AbstractArray{<:Real} [M] frequency locations (aka Ω, units radians/sample)\neltype(w) determines the plan_nfft type; so to save memory use Float32!\nsize(w) determines odim for A if operator=true\nN::Int signal length\n\noption\n\nnfft_m::Int see NFFT.jl documentation; default 4\nnfft_sigma::Real \"\", default 2.0\nn_shift::Real often is N/2; default 0\npi_error::Bool throw error if w π, default true\nSet to false only if you are very sure of what you are doing!\ndo_many::Bool support extended inputs via map_many? default true\noperator::Bool=true set to false to make A an LinearMapAM\n\nout\n\np NamedTuple\n\n(nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A::LinearMapAO)\n\nThe default settings are such that for a 1D signal of length N=512, the worst-case error is below 1e-5 which is probably adequate for typical medical imaging applications. To verify this statement, run nufft_plot1() and see plot.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_init-Union{Tuple{D}, Tuple{AbstractArray{<:Real}, Tuple{Vararg{Int64, D}}}} where D","page":"Methods","title":"MIRT.nufft_init","text":"p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=?)\n\nSetup multi-dimensional NUFFT, for computing fast O(N log N) approximation to\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M\n\nin\n\nw::AbstractArray{<:Real} [M,D] frequency locations (aka Ω, units radians/sample)\neltype(w) determines the plan_nfft type; so to save memory use Float32!\nsize(w)[1:(end-1)] determines odim if operator=true\nN::Dims{D} signal dimensions\n\noption\n\nnfft_m::Int see NFFT.jl documentation; default 4\nnfft_sigma::Real \"\", default 2.0\nn_shift::AbstractVector{<:Real} (D) often is N/2; default zeros(D)\npi_error::Bool throw error if w π, default true\nSet to false only if you are very sure of what you are doing!\ndo_many::Bool support extended inputs via map_many? default true\noperator::Bool=true set to false to make A a LinearMapAM\n\nThe default do_many option is designed for parallel MRI where the k-space sampling pattern applies to every coil. It may also be useful for dynamic MRI with repeated sampling patterns. The coil and/or time dimensions must come after the spatial dimensions.\n\nout\n\np NamedTuple with fields nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A=LinearMapAO (Using operator=true allows the LinearMapAO to support do_many.)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_typer-Union{Tuple{T}, Tuple{Type{T}, T}} where T","page":"Methods","title":"MIRT.nufft_typer","text":"nufft_typer(T::Type, x::AbstractArray{<:Real} ; warn::Bool=true)\n\ntype conversion wrapper for nfft()\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ogm_ls-Tuple{AbstractVector, AbstractVector{<:Function}, AbstractVector{<:Function}, AbstractArray{<:Number}}","page":"Methods","title":"MIRT.ogm_ls","text":"(x,out) = ogm_ls(B, gradf, curvf, x0; niter=?, ninner=?, fun=?)\n\nOGM with a line search Drori&Taylor to minimize a general \"inverse problem\" cost function of the form Psi(x) = sum_j=1^J f_j(B_j x) where each function f_j(v) has a quadratic majorizer of the form\n\nq_j(vu) = f_j(u) + nabla f_j(u) (v - u) + 12 v - u^2_C_j(u)\n\nwhere C_j(u) is diagonal matrix of curvatures. (It suffices for each f_j to have a Lipschitz smooth gradient.)\n\nThis OGM method uses a majorize-minimize (MM) line search.\n\nin\n\nB vector of J blocks B_1B_J\ngradf vector of J functions return gradients of f_1f_J\ncurvf vector of J functions z -> curv(z) that return a scalar or a vector of curvature values for each element of z\nx0 initial guess; need length(x) == size(B[j],2) for j=1J\n\noption\n\nniter # number of outer iterations; default 50\nninner # number of inner iterations of MM line search; default 5\nfun User-defined function to be evaluated with two arguments (x,iter).\nIt is evaluated at (x0,0) and then after each iteration.\n\noutput\n\nx final iterate\nout (niter+1) (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))\n(all 0 by default). This is a vector of length niter+1.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ogm_ls-Tuple{Function, Function, AbstractVector{<:Number}}","page":"Methods","title":"MIRT.ogm_ls","text":"(x,out) = ogm_ls(grad, curv, x0, ...)\n\nSpecial case of ogm_ls (OGM with line search) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.pogm_restart-Tuple{Any, Function, Function, Real}","page":"Methods","title":"MIRT.pogm_restart","text":"x, out = pogm_restart(x0, Fcost, f_grad, f_L ;\nf_mu=0, mom=:pogm, restart=:gr, restart_cutoff=0.,\nbsig=1, niter=10, g_prox=(z,c)->z, fun=...)\n\nIterative proximal algorithms (PGM=ISTA, FPGM=FISTA, POGM) with restart.\n\nin\n\nx0 initial guess\nFcost function for computing the cost function value F(x)\n(needed only if restart === :fr)\nf_grad function for computing the gradient of f(x)\nf_L Lipschitz constant of the gradient of f(x)\n\noption\n\nf_mu strong convexity parameter of f(x); default 0.\nif f_mu > 0, (alpha beta_k gamma_k) is chosen by Table 1 in [KF18]\ng_prox function g_prox(z,c) for the proximal operator for g(x)\ng_prox(z,c) computes argmin_x 12 z-x^2 + c g(x)\nmom momentum option\n:pogm POGM (fastest); default!\n:fpgm (FISTA), gamma_k = 0\n:pgm PGM (ISTA), beta_k = gamma_k = 0\nrestart restart option\n:gr gradient restart; default!\n:fr function restart\n:none no restart\nrestart_cutoff for :gr restart if cos(angle) < this; default 0.\nbsig gradient \"gamma\" decrease option (value within [0 1]); default 1\nsee barsigma in [KF18]\nniter number of iterations; default 10\nfun function(iter, xk, yk, is_restart) user-defined function evaluated each iter with secondary xk, primary yk, and boolean is_restart indicating whether this iteration was a restart\n\nout\n\nx final iterate\nfor PGM (ISTA): x_N = y_N\nfor FPGM (FISTA): primary iterate y_N\nfor POGM: secondary iterate x_N, see [KF18]\nout [fun(0, x0, x0, false), fun(1, x1, y1, is_restart), ...] array of length [niter+1]\n\nOptimization Problem: Nonsmooth Composite Convex Minimization\n\nargmin_x F(x) F(x) = f(x) + g(x))\nf(x) smooth convex function\ng(x) convex function, possibly nonsmooth and \"proximal-friendly\" [CP11]\n\nOptimization Algorithms:\n\nAccelerated First-order Algorithms when g(x) = 0 [KF18] iterate as below for given coefficients (alpha beta_k gamma_k)\n\nFor k = 0,1,...\ny_k+1 = x_k - alpha f(x_k) : gradient update\nx_k+1 = y_k+1 + beta_k (y_k+1 - y_k) + gamma_k (y_k+1 - x_k) : momentum update\n\nProximal versions of the above for g(x) neq 0 are in the below references, and use the proximal operator prox_g(z) = argmin_x 12z-x^2 + g(x).\n\nProximal Gradient method (PGM or ISTA) - beta_k = gamma_k = 0. [BT09]\nFast Proximal Gradient Method (FPGM or FISTA) - gamma_k = 0. [BT09]\nProximal Optimized Gradient Method (POGM) - [THG15]\nFPGM(FISTA) with Restart - [OC15]\nPOGM with Restart - [KF18]\n\nreferences\n\n[CP11] P. L. Combettes, J. C. Pesquet,\n\n\"Proximal splitting methods in signal processing,\" Fixed-Point Algorithms for Inverse Problems in Science and Engineering, Springer, Optimization and Its Applications, 2011.\n\n[KF18] D. Kim, J.A. Fessler,\n\n\"Adaptive restart of the optimized gradient method for convex optimization,\" 2018 Arxiv:1703.04641, [http://doi.org/10.1007/s10957-018-1287-4]\n\n[BT09] A. Beck, M. Teboulle:\n\n\"A fast iterative shrinkage-thresholding algorithm for linear inverse problems,\" SIAM J. Imaging Sci., 2009.\n\n[THG15] A.B. Taylor, J.M. Hendrickx, F. Glineur,\n\n\"Exact worst-case performance of first-order algorithms for composite convex optimization,\" Arxiv:1512.07516, 2015, SIAM J. Opt. 2017 [http://doi.org/10.1137/16m108104x]\n\nCopyright 2017-3-31, Donghwan Kim and Jeff Fessler, University of Michigan 2018-08-13 Julia 0.7.0 2019-02-24 interface redesign\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.poweriter-Tuple{Any}","page":"Methods","title":"MIRT.poweriter","text":"v1,σ1 = poweriter(A; niter=?, ...)\n\nDetermine first right singular vector v1 and first singular value σ1 of A by applying power iteration to A'A\n\nin\n\nA M × N matrix\n\noption\n\nniter default 200\nx0 initial guess of v1\ntol stopping tolerance for s1, default 1e-6\nchat::Bool verbose? default false\n\nout\n\nv1 [N] principal right singular vector\nσ1 spectral norm of A\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.rect-Tuple{Real}","page":"Methods","title":"MIRT.rect","text":"rect(x::Real)\n\nUnit width rect function. Potential problem? Bring up with fess.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.reverser-Tuple{AbstractArray, AbstractVector{<:Int64}}","page":"Methods","title":"MIRT.reverser","text":"y = reverser(x, dims)\n\nreverse array along specified dimensions (or all if unspecified)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.rmsd100-Tuple{AbstractArray{<:Number}, AbstractArray{<:Number}}","page":"Methods","title":"MIRT.rmsd100","text":"rmsd = rmsd100(x, y ; mask)\n\nCompute 100 * RMSD (root mean squared difference) between x and y within domain mask.\n\nin\n\nx : array\ny : another array of same size\n\noption\n\nmask::Array{Bool} : domain over which to compute the RMSE; default trues(size(x))\n\nout\n\nrmsd : rmsd of x vs y within mask in %\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.rotate2d-Tuple{Any, Any, Any}","page":"Methods","title":"MIRT.rotate2d","text":"(xr,yr) = rotate2d(x, y, theta)\n\n2D rotation\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.snr2sigma-Tuple{Any, AbstractArray{<:Complex}}","page":"Methods","title":"MIRT.snr2sigma","text":"snr2sigma(db, yb)\n\nConvert SNR in dB to noise σ for complex gaussian noise. No sqrt(2) factors is needed here because randn(Complex{Float}) already accounts for that. (See randn documentation.)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.@shows-Tuple{Any}","page":"Methods","title":"MIRT.@shows","text":"@shows expr\n\nShow the type and size of an expression expr (typically a variable).\n\nMore concise output than @show and typically this is all that is needed when debugging code.\n\n\n\n\n\n","category":"macro"},{"location":"#MIRT:-The-Michigan-Image-Reconstruction-Toolbox","page":"Home","title":"MIRT: The Michigan Image Reconstruction Toolbox","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"MIRT.jl is a collection of Julia functions for performing image reconstruction and solving related inverse problems.","category":"page"},{"location":"","page":"Home","title":"Home","text":"It is very much still under construction, although there are already enough tools to solve useful problems like compressed sensing MRI reconstruction. Trying the demos is a good way to get started.","category":"page"},{"location":"","page":"Home","title":"Home","text":"The documentation is even more still under construction.","category":"page"},{"location":"","page":"Home","title":"Home","text":"More complete examples are at JuliaImageRecon; see Examples there.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"EditURL = \"../../../lit/examples/3-ls-mm.jl\"","category":"page"},{"location":"generated/examples/3-ls-mm/#3-ls-mm","page":"Line search MM","title":"Line search MM","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Examples illustrating the line-search method based on majorize-minimize (MM) principles in the Julia package MIRT. This method is probably most useful for algorithm developers.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This page comes from a single Julia file: 3-ls-mm.jl.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"You can access the source code for such Julia documentation using the 'Edit on GitHub' link in the top right. You can view the corresponding notebook in nbviewer here: 3-ls-mm.ipynb, or open it in binder here: 3-ls-mm.ipynb.","category":"page"},{"location":"generated/examples/3-ls-mm/#Setup","page":"Line search MM","title":"Setup","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Packages needed here.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"using Plots; default(markerstrokecolor = :auto, label=\"\")\nusing MIRTjim: prompt\nusing MIRT: line_search_mm, LineSearchMMWork\nusing LineSearches: BackTracking, HagerZhang, MoreThuente\nusing LinearAlgebra: norm, dot\nusing Random: seed!; seed!(0)\nusing BenchmarkTools: @btime, @benchmark\nusing InteractiveUtils: versioninfo","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The following line is helpful when running this file as a script; this way it will prompt user to hit a key after each figure is displayed.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"isinteractive() && prompt(:prompt);\nnothing #hide","category":"page"},{"location":"generated/examples/3-ls-mm/#Theory","page":"Line search MM","title":"Theory","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Many methods for solving inverse problems involve optimization problems of the form","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"hatx = argmin_x mathbbF^N f(x)\nqquad\nf(x) = sum_j=1^J f_j(B_j x)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"where mathbbF denotes the field of real or complex numbers, matrix B_j has size M_j N, and f_j mathbbF^M_j mathbbR.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"One could apply general-purpose optimization methods here, like those in Optim.jl, but often we can obtain faster results by exploiting the specific (yet still fairly general) structure, particularly when the problem dimension N is large.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Many algorithms for solving such problems require an inner 1D optimization problem called a line search of the form","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"α_* = argmin_α mathbbR h(α)\nqquad\nh(α) = f(x + α d)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"for some search direction d. There are general purpose line search algorithms in LineSearches.jl, but here we focus on the specific form of f given above.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"For that form we see that we have the special structure","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"h(α) = sum_j=1^J f_j(u_j + α v_j)\nqquad\nu_j = B_j x\nquad\nv_j = B_j d","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Here we focus further on the case where each function f_j() has a quadratic majorizer of the form","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"f_j(x) q_j(xz) = f_j(z) + textreal( f_j(z) x - z )\n+ frac12 (x - z) D_j(z) (x - z)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"where D_j(z) is a positive semidefinite matrix that typically is diagonal. Often it is a constant times the identity matrix, e.g., a Lipschitz constant for f_j, but often there are sharper majorizers.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Such quadratic majorizers induce a quadratic majorizer for h(α) as well:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"h(α) q(α α_t) =\nsum_j=1^J q_j(u_j + α v_j u_j + α_t v_j)\n= h(α_t) + c_1(α_t) (α - α_t)\n+ frac12 c_2(α_t) (α - α_t)^2","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"where","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"c_1(α_t) = sum_j=1^J textreal( f_j(u_j + α_t v_j) v_j )\nqquad\nc_2(α_t) = sum_j=1^J v_j D_j(u_j + α_t v_j) v_j","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The line_search_mm function in this package uses this quadratic majorizer to update α using the iteration","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"α_t+1\n= argmin_α q(αα_t)\n= α_t - c_1(α_t) c_2(α_t)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Being an MM algorithm, it is guaranteed to decrease h(α) every update. For an early exposition of this approach, see Fessler & Booth, 1999.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"From the above derivation, the main ingredients needed are functions for computing the dot products f_j(u_j + α_t v_j) v_j and v_j D_j(u_j + α_t v_j) v_j.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The line_search_mm function can construct such functions given input gradient functions f_1f_J and curvature functions ω_1ω_J where D_j(z) = textDiag(ω_j(z)).","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Alternatively, the user can provide functions for computing the dot products.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"All of this is best illustrated by an example.","category":"page"},{"location":"generated/examples/3-ls-mm/#Smooth-LASSO-problem","page":"Line search MM","title":"Smooth LASSO problem","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The usual LASSO optimization problem uses the cost function","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"f(x) = frac12 A x - y _2^2 + β R(x)\nqquad\nR(x) = x _1 = sum_n=1^N x_n = 1 textabs(x)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The 1-norm is just a relaxation of the 0-norm so here we further \"relax\" it by considering the \"corner rounded\" version using the Fair potential function","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"R(x) = sum_n=1^N ψ(x_n) = 1 ψ(x)\nqquad\nψ(z) = δ^2 zδ - log(1 + zδ)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"for a small value of δ.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The derivative of this potential function is dotψ(z) = z (1 + z δ) and Huber's curvature ω_ψ(z) = 1 (1 + z δ) provides a suitable majorizer.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This smooth LASSO cost function has the general form above with J=2, B_1 = A, B_2 = I, f_1(u) = frac12 u - y _2^2 f_2(u) = β 1 ψ(u) for which f_1(u) = u - y f_2(u) = β ψ(u) and ^2 f_1(u) = I ^2 f_2(u) succeq β textdiag(ω_ψ(u))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Set up an example and plot h(α).","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Fair potential, its derivative and Huber weighting function:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"function fair_pot()\n fpot(z,δ) = δ^2 * (abs(z/δ) - log(1 + abs(z/δ)))\n dpot(z,δ) = z / (1 + abs(z/δ))\n wpot(z,δ) = 1 / (1 + abs(z/δ))\n return fpot, dpot, wpot\nend;\nnothing #hide","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Data, cost function and gradients for smooth LASSO problem:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"M, N = 1000, 2000\nA = randn(M,N)\nx0 = randn(N) .* (rand(N) .< 0.4) # sparse vector\ny = A * x0 + 0.001 * randn(M)\nβ = 95\nδ = 0.1\nfpot, dpot, wpot = Base.Fix2.(fair_pot(), δ)\n\nf(x) = 0.5 * norm(A * x - y)^2 + β * sum(fpot, x)\n∇f(x) = A' * (A * x - y) + β * dpot.(x)\nx = randn(N) # random point\nd = -∇f(x)/M # some search direction\nh(α) = f(x + α * d)\ndh(α) = d' * ∇f(x + α * d)\npa = plot(h, xlabel=\"α\", ylabel=\"h(α)\", xlims=(-1, 2))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Apply MM-based line search: simple version. The key inputs are the gradient and curvature functions:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"gradf = [\n u -> u - y, # ∇f₁ for data-fit term\n u -> β * dpot.(u), # ∇f₂ for regularizer\n]\ncurvf = [\n 1, # curvature for data-fit term\n u -> β * wpot.(u), # Huber curvature for regularizer\n]\n\nuu = [A * x, x] # [u₁ u₂]\nvv = [A * d, d] # [v₁ v₂]\nfun(state) = state.α # log this\nninner = 7\nout = Vector{Any}(undef, ninner+1)\nα0 = 0\nαstar = line_search_mm(gradf, curvf, uu, vv; ninner, out, fun, α0)\nhmin = h(αstar)\nscatter!([αstar], [hmin], marker=:star, color=:red)\nscatter!([α0], [h(α0)], marker=:circle, color=:green)\nps = plot(0:ninner, out, marker=:circle, xlabel=\"iteration\", ylabel=\"α\",\n color = :green)\npd = plot(0:ninner, abs.(dh.(out)), marker=:diamond,\n yaxis = :log, color=:red,\n xlabel=\"iteration\", ylabel=\"|dh(α)|\")\npu = plot(1:ninner, log10.(max.(abs.(diff(out)), 1e-16)), marker=:square,\n color=:blue, xlabel=\"iteration\", ylabel=\"log10(|α_k - α_{k-1}|)\")\nplot(pa, ps, pd, pu)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Thanks to Huber's curvatures, the α_t sequence converges very quickly.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Now explore a fancier version that needs less heap memory.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"work = LineSearchMMWork(uu, vv, α0) # pre-allocate\nfunction lsmm1(gradf, curvf)\n return line_search_mm(gradf, curvf, uu, vv;\n ninner, out, fun, α0, work)\nend\nfunction lsmm2(dot_gradf, dot_curvf)\n gradn = [() -> nothing, () -> nothing]\n return line_search_mm(uu, vv, dot_gradf, dot_curvf;\n ninner, out, fun, α0, work)\nend;\nnothing #hide","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The let statements below are a performance trick from the Julia manual. Using Iterators.map avoids allocating arrays like z - y and does not even require any work space.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"gradz = [\n let y=y; z -> Iterators.map(-, z, y); end, # z - y\n let β=β, dpot=dpot; z -> Iterators.map(z -> β * dpot(z), z); end, # β * dψ.(z)\n]\ncurvz = [\n 1,\n let β=β, wpot=wpot; z -> Iterators.map(z -> β * wpot(z), z); end, # β * ωψ.(z)\n]\n\nfunction make_grad1c()\n w = similar(uu[1]) # work-space\n let w=w, y=y\n function grad1c(z)\n @. w = z - y\n return w\n end\n end\nend\n\nfunction make_grad2c()\n w = similar(uu[2]) # work-space\n let w=w, β=β, dpot=dpot\n function grad2c(z)\n @. w = β * dpot(z)\n return w\n end\n end\nend\n\nfunction make_curv2c()\n w = similar(uu[2]) # work-space\n let w=w, β=β, wpot=wpot\n function curv2c(z)\n @. w = β * wpot(z) # β * ωψ.(z)\n return w\n end\n end\nend\n\ngradc = [ # capture version\n make_grad1c(), # z - y\n make_grad2c(), # β * dψ.(z)\n]\ncurvc = [\n 1,\n make_curv2c(), # β * ωψ.(z)\n]\n\nsum_map(f::Function, args...) = sum(Iterators.map(f, args...))\ndot_gradz = [\n let y=y; (v,z) -> sum_map((v,z,y) -> dot(v, z - y), v, z, y); end, # v'(z - y)\n let β=β, dpot=dpot; (v,z) -> β * sum_map((v,z) -> dot(v, dpot(z)), v, z); end, # β * (v'dψ.(z))\n]\ndot_curvz = [\n (v,z) -> norm(v)^2,\n let β=β, wpot=wpot; (v,z) -> β * sum_map((v,z) -> abs2(v) * wpot(z), v, z); end, # β * (abs2.(v)'ωψ.(z))\n]\n\n\na1 = lsmm1(gradf, curvf)\na1c = lsmm1(gradc, curvc)\na2 = lsmm1(gradz, curvz)\na3 = lsmm2(dot_gradz, dot_curvz)\n@assert a1 ≈ a2 ≈ a3 ≈ a1c\n\nb1 = @benchmark a1 = lsmm1($gradf, $curvf)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"bc = @benchmark a1c = lsmm1($gradc, $curvc)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"b2 = @benchmark a2 = lsmm1($gradz, $curvz)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"b3 = @benchmark a3 = lsmm2($dot_gradz, $dot_curvz)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Timing results on my Mac:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"95 μs\n65 μs # 1c after using make_\n80 μs\n69 μs (and lowest memory)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The versions using gradc and dot_gradz with their \"properly captured\" variables are the fastest. But all the versions here are pretty similar so even using the simplest version seems likely to be fine.","category":"page"},{"location":"generated/examples/3-ls-mm/#Compare-with-LineSearches.jl","page":"Line search MM","title":"Compare with LineSearches.jl","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Was all this specialized effort useful? Let's compare to the general line search methods in LineSearches.jl.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"It seems that some of those methods do not allow α₀ = 0 so we use 1.0 instead. We use the default arguments for all the solvers, which means some of them might terminate before ninner iterations, giving them a potential speed advantage.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"a0 = 1.0 # α0\nhdh(α) = h(α), dh(α)\nh0 = h(0)\ndh0 = dh(0);\nfunction ls_ls(linesearch)\n a1, fx = linesearch(h, dh, hdh, a0, h0, dh0)\n return a1\nend;\n\nsolvers = [\n BackTracking( ; iterations = ninner),\n HagerZhang( ; linesearchmax = ninner),\n MoreThuente( ; maxfev = ninner),\n]\nfor ls in solvers # check that they work properly\n als = ls_ls(ls)\n @assert isapprox(als, αstar; atol=1e-3)\nend;\nnothing #hide","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"bbt = @benchmark ls_ls($(solvers[1]))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"bhz = @benchmark ls_ls($(solvers[2]))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"bmt = @benchmark ls_ls($(solvers[3]))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"On my Mac the timings are all much longer compared to line_search_mm:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"840 μs BackTracking\n2.6 ms HagerZhang\n3.9 ms MoreThuente","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This comparison illustrates the benefit of the \"special purpose\" line search.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The fastest version seems to be BackTracking, so plot its iterates:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"alpha_bt = zeros(ninner + 1)\nalpha_bt[1] = a0\nfor iter in 1:ninner\n tmp = BackTracking( ; iterations = iter)\n alpha_bt[iter+1] = ls_ls(tmp)\nend\nplot(0:ninner, alpha_bt, marker=:square, color=:blue,\n xlabel=\"Iteration\", ylabel=\"BackTracking α\")\nplot!([0, ninner], [1,1] * αstar, color=:red)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Unexpectedly, BackTracking seems to terminate at the first iteration. But even just that single iteration is slower than 7 iterations of line_search_mm.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"prompt()","category":"page"},{"location":"generated/examples/3-ls-mm/#Reproducibility","page":"Line search MM","title":"Reproducibility","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This page was generated with the following version of Julia:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"using InteractiveUtils: versioninfo\nio = IOBuffer(); versioninfo(io); split(String(take!(io)), '\\n')","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"And with the following package versions","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"import Pkg; Pkg.status()","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This page was generated using Literate.jl.","category":"page"}] +} diff --git a/v0.18.0/siteinfo.js b/v0.18.0/siteinfo.js new file mode 100644 index 00000000..705170e0 --- /dev/null +++ b/v0.18.0/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "v0.18.0"; diff --git a/v0.18.1/.documenter-siteinfo.json b/v0.18.1/.documenter-siteinfo.json new file mode 100644 index 00000000..d4f11d87 --- /dev/null +++ b/v0.18.1/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.10.3","generation_timestamp":"2024-05-19T17:14:11","documenter_version":"1.4.1"}} \ No newline at end of file diff --git a/v0.18.1/assets/custom.css b/v0.18.1/assets/custom.css new file mode 100644 index 00000000..31e65493 --- /dev/null +++ b/v0.18.1/assets/custom.css @@ -0,0 +1,3 @@ +.docs-sourcelink { + opacity:1 !important; +} diff --git a/v0.18.1/assets/documenter.js b/v0.18.1/assets/documenter.js new file mode 100644 index 00000000..c6562b55 --- /dev/null +++ b/v0.18.1/assets/documenter.js @@ -0,0 +1,1050 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.13.2/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let timer = 0; +var isExpanded = true; + +$(document).on("click", ".docstring header", function () { + let articleToggleTitle = "Expand docstring"; + + debounce(() => { + if ($(this).siblings("section").is(":visible")) { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + articleToggleTitle = "Collapse docstring"; + } + + $(this) + .find(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + $(this).siblings("section").slideToggle(); + }); +}); + +$(document).on("click", ".docs-article-toggle-button", function (event) { + let articleToggleTitle = "Expand docstring"; + let navArticleToggleTitle = "Expand all docstrings"; + let animationSpeed = event.noToggleAnimation ? 0 : 400; + + debounce(() => { + if (isExpanded) { + $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + + isExpanded = false; + + $(".docstring section").slideUp(animationSpeed); + } else { + $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + isExpanded = true; + articleToggleTitle = "Collapse docstring"; + navArticleToggleTitle = "Collapse all docstrings"; + + $(".docstring section").slideDown(animationSpeed); + } + + $(this).prop("title", navArticleToggleTitle); + $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + }); +}); + +function debounce(callback, timeout = 300) { + if (Date.now() - timer > timeout) { + callback(); + } + + clearTimeout(timer); + + timer = Date.now(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fa-solid", "fa-copy"); + button.setAttribute("aria-label", "Copy this code block"); + button.setAttribute("title", "Copy"); + + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-xmark"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-xmark"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function () { + $("#documenter .docs-navbar").headroom({ + tolerance: { up: 10, down: 10 }, + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let meta = $("div[data-docstringscollapsed]").data(); + + if (meta?.docstringscollapsed) { + $("#documenter-article-toggle-button").trigger({ + type: "click", + noToggleAnimation: true, + }); + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +/* +To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc + +PSEUDOCODE: + +Searching happens automatically as the user types or adjusts the selected filters. +To preserve responsiveness, as much as possible of the slow parts of the search are done +in a web worker. Searching and result generation are done in the worker, and filtering and +DOM updates are done in the main thread. The filters are in the main thread as they should +be very quick to apply. This lets filters be changed without re-searching with minisearch +(which is possible even if filtering is on the worker thread) and also lets filters be +changed _while_ the worker is searching and without message passing (neither of which are +possible if filtering is on the worker thread) + +SEARCH WORKER: + +Import minisearch + +Build index + +On message from main thread + run search + find the first 200 unique results from each category, and compute their divs for display + note that this is necessary and sufficient information for the main thread to find the + first 200 unique results from any given filter set + post results to main thread + +MAIN: + +Launch worker + +Declare nonconstant globals (worker_is_running, last_search_text, unfiltered_results) + +On text update + if worker is not running, launch_search() + +launch_search + set worker_is_running to true, set last_search_text to the search text + post the search query to worker + +on message from worker + if last_search_text is not the same as the text in the search field, + the latest search result is not reflective of the latest search query, so update again + launch_search() + otherwise + set worker_is_running to false + + regardless, display the new search results to the user + save the unfiltered_results as a global + update_search() + +on filter click + adjust the filter selection + update_search() + +update_search + apply search filters by looping through the unfiltered_results and finding the first 200 + unique results that match the filters + + Update the DOM +*/ + +/////// SEARCH WORKER /////// + +function worker_function(documenterSearchIndex, documenterBaseURL, filters) { + importScripts( + "https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min.js" + ); + + let data = documenterSearchIndex.map((x, key) => { + x["id"] = key; // minisearch requires a unique for each object + return x; + }); + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + const stopWords = new Set([ + "a", + "able", + "about", + "across", + "after", + "almost", + "also", + "am", + "among", + "an", + "and", + "are", + "as", + "at", + "be", + "because", + "been", + "but", + "by", + "can", + "cannot", + "could", + "dear", + "did", + "does", + "either", + "ever", + "every", + "from", + "got", + "had", + "has", + "have", + "he", + "her", + "hers", + "him", + "his", + "how", + "however", + "i", + "if", + "into", + "it", + "its", + "just", + "least", + "like", + "likely", + "may", + "me", + "might", + "most", + "must", + "my", + "neither", + "no", + "nor", + "not", + "of", + "off", + "often", + "on", + "or", + "other", + "our", + "own", + "rather", + "said", + "say", + "says", + "she", + "should", + "since", + "so", + "some", + "than", + "that", + "the", + "their", + "them", + "then", + "there", + "these", + "they", + "this", + "tis", + "to", + "too", + "twas", + "us", + "wants", + "was", + "we", + "were", + "what", + "when", + "who", + "whom", + "why", + "will", + "would", + "yet", + "you", + "your", + ]); + + let index = new MiniSearch({ + fields: ["title", "text"], // fields to index for full-text search + storeFields: ["location", "title", "text", "category", "page"], // fields to return with results + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + + word = word.toLowerCase(); + } + + return word ?? null; + }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not + // find anything if searching for "add!", only for the entire qualification + tokenize: (string) => string.split(/[\s\-\.]+/), + // options which will be applied during the search + searchOptions: { + prefix: true, + boost: { title: 100 }, + fuzzy: 2, + }, + }); + + index.addAll(data); + + /** + * Used to map characters to HTML entities. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const htmlEscapes = { + "&": "&", + "<": "<", + ">": ">", + '"': """, + "'": "'", + }; + + /** + * Used to match HTML entities and HTML characters. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const reUnescapedHtml = /[&<>"']/g; + const reHasUnescapedHtml = RegExp(reUnescapedHtml.source); + + /** + * Escape function from lodash + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + function escape(string) { + return string && reHasUnescapedHtml.test(string) + ? string.replace(reUnescapedHtml, (chr) => htmlEscapes[chr]) + : string || ""; + } + + /** + * Make the result component given a minisearch result data object and the value + * of the search input as queryString. To view the result object structure, refer: + * https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ + function make_search_result(result, querystring) { + let search_divider = `
      `; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } + + let textindex = new RegExp(`${querystring}`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + text = text.length ? escape(text) : ""; + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`${escape(querystring)}`, "i"), // For first occurrence + '$&' + ) + + "..." + : ""; // highlights the match + + let in_code = false; + if (!["page", "section"].includes(result.category.toLowerCase())) { + in_code = true; + } + + // We encode the full url to escape some special characters which can lead to broken links + let result_div = ` + +
      +
      ${escape(result.title)}
      +
      ${result.category}
      +
      +

      + ${display_result} +

      +
      + ${display_link} +
      +       + ${search_divider} + `; + + return result_div; + } + + self.onmessage = function (e) { + let query = e.data; + let results = index.search(query, { + filter: (result) => { + // Only return relevant results + return result.score >= 1; + }, + }); + + // Pre-filter to deduplicate and limit to 200 per category to the extent + // possible without knowing what the filters are. + let filtered_results = []; + let counts = {}; + for (let filter of filters) { + counts[filter] = 0; + } + let present = {}; + + for (let result of results) { + cat = result.category; + cnt = counts[cat]; + if (cnt < 200) { + id = cat + "---" + result.location; + if (present[id]) { + continue; + } + present[id] = true; + filtered_results.push({ + location: result.location, + category: cat, + div: make_search_result(result, query), + }); + } + } + + postMessage(filtered_results); + }; +} + +// `worker = Threads.@spawn worker_function(documenterSearchIndex)`, but in JavaScript! +const filters = [ + ...new Set(documenterSearchIndex["docs"].map((x) => x.category)), +]; +const worker_str = + "(" + + worker_function.toString() + + ")(" + + JSON.stringify(documenterSearchIndex["docs"]) + + "," + + JSON.stringify(documenterBaseURL) + + "," + + JSON.stringify(filters) + + ")"; +const worker_blob = new Blob([worker_str], { type: "text/javascript" }); +const worker = new Worker(URL.createObjectURL(worker_blob)); + +/////// SEARCH MAIN /////// + +// Whether the worker is currently handling a search. This is a boolean +// as the worker only ever handles 1 or 0 searches at a time. +var worker_is_running = false; + +// The last search text that was sent to the worker. This is used to determine +// if the worker should be launched again when it reports back results. +var last_search_text = ""; + +// The results of the last search. This, in combination with the state of the filters +// in the DOM, is used compute the results to display on calls to update_search. +var unfiltered_results = []; + +// Which filter is currently selected +var selected_filter = ""; + +$(document).on("input", ".documenter-search-input", function (event) { + if (!worker_is_running) { + launch_search(); + } +}); + +function launch_search() { + worker_is_running = true; + last_search_text = $(".documenter-search-input").val(); + worker.postMessage(last_search_text); +} + +worker.onmessage = function (e) { + if (last_search_text !== $(".documenter-search-input").val()) { + launch_search(); + } else { + worker_is_running = false; + } + + unfiltered_results = e.data; + update_search(); +}; + +$(document).on("click", ".search-filter", function () { + if ($(this).hasClass("search-filter-selected")) { + selected_filter = ""; + } else { + selected_filter = $(this).text().toLowerCase(); + } + + // This updates search results and toggles classes for UI: + update_search(); +}); + +/** + * Make/Update the search component + */ +function update_search() { + let querystring = $(".documenter-search-input").val(); + + if (querystring.trim()) { + if (selected_filter == "") { + results = unfiltered_results; + } else { + results = unfiltered_results.filter((result) => { + return selected_filter == result.category.toLowerCase(); + }); + } + + let search_result_container = ``; + let modal_filters = make_modal_body_filters(); + let search_divider = `
      `; + + if (results.length) { + let links = []; + let count = 0; + let search_results = ""; + + for (var i = 0, n = results.length; i < n && count < 200; ++i) { + let result = results[i]; + if (result.location && !links.includes(result.location)) { + search_results += result.div; + count++; + links.push(result.location); + } + } + + if (count == 1) { + count_str = "1 result"; + } else if (count == 200) { + count_str = "200+ results"; + } else { + count_str = count + " results"; + } + let result_count = `
      ${count_str}
      `; + + search_result_container = ` +
      + ${modal_filters} + ${search_divider} + ${result_count} +
      + ${search_results} +
      +
      + `; + } else { + search_result_container = ` +
      + ${modal_filters} + ${search_divider} +
      0 result(s)
      +
      +
      No result found!
      + `; + } + + if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").removeClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(search_result_container); + } else { + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(` +
      Type something to get started!
      + `); + } +} + +/** + * Make the modal filter html + * + * @returns string + */ +function make_modal_body_filters() { + let str = filters + .map((val) => { + if (selected_filter == val.toLowerCase()) { + return `${val}`; + } else { + return `${val}`; + } + }) + .join(""); + + return ` +
      + Filters: + ${str} +
      `; +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function () { + var settings = $("#documenter-settings"); + $("#documenter-settings-button").click(function () { + settings.toggleClass("is-active"); + }); + // Close the dialog if X is clicked + $("#documenter-settings button.delete").click(function () { + settings.removeClass("is-active"); + }); + // Close dialog if ESC is pressed + $(document).keyup(function (e) { + if (e.keyCode == 27) settings.removeClass("is-active"); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let search_modal_header = ` +
      +
      +

      + + + + +

      +
      +
      + +
      +
      + `; + + let initial_search_body = ` +
      Type something to get started!
      + `; + + let search_modal_footer = ` +
      + + Ctrl + + / to search + + esc to close +
      + `; + + $(document.body).append( + ` + + ` + ); + + document.querySelector(".docs-search-query").addEventListener("click", () => { + openModal(); + }); + + document + .querySelector(".close-search-modal") + .addEventListener("click", () => { + closeModal(); + }); + + $(document).on("click", ".search-result-link", function () { + closeModal(); + }); + + document.addEventListener("keydown", (event) => { + if ((event.ctrlKey || event.metaKey) && event.key === "/") { + openModal(); + } else if (event.key === "Escape") { + closeModal(); + } + + return false; + }); + + // Functions to open and close a modal + function openModal() { + let searchModal = document.querySelector("#search-modal"); + + searchModal.classList.add("is-active"); + document.querySelector(".documenter-search-input").focus(); + } + + function closeModal() { + let searchModal = document.querySelector("#search-modal"); + let initial_search_body = ` +
      Type something to get started!
      + `; + + searchModal.classList.remove("is-active"); + document.querySelector(".documenter-search-input").blur(); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".documenter-search-input").val(""); + $(".search-modal-card-body").html(initial_search_body); + } + + document + .querySelector("#search-modal .modal-background") + .addEventListener("click", () => { + closeModal(); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function () { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button"); + sidebar_button.click(function (ev) { + ev.preventDefault(); + sidebar.toggleClass("visible"); + if (sidebar.hasClass("visible")) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind("click", function (ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass("visible")) { + sidebar.removeClass("visible"); + } + }); +}); + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function () { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css("max-width"), 10); + var L0 = e.width(); + if (L0 > L) { + var h0 = parseInt(e.css("font-size"), 10); + e.css("font-size", (L * h0) / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on("orientationchange", resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function () { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if (typeof active !== "undefined") { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Theme picker setup +$(document).ready(function () { + // onchange callback + $("#documenter-themepicker").change(function themepick_callback(ev) { + var themename = $("#documenter-themepicker option:selected").attr("value"); + if (themename === "auto") { + // set_theme(window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light'); + window.localStorage.removeItem("documenter-theme"); + } else { + // set_theme(themename); + window.localStorage.setItem("documenter-theme", themename); + } + // We re-use the global function from themeswap.js to actually do the swapping. + set_theme_from_local_storage(); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if (typeof window.localStorage !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if (theme !== null) { + $("#documenter-themepicker option").each(function (i, e) { + e.selected = e.value === theme; + }); + } + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function () { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if ( + typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === "boolean" && + DOCUMENTER_VERSION_SELECTOR_DISABLED + ) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function (x) { + target_href = version_selector_select + .children("option:selected") + .get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if ( + typeof DOCUMENTER_CURRENT_VERSION !== "undefined" && + $("#version-selector > option").length == 0 + ) { + var option = $( + "" + ); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== "undefined") { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function (i, x) { + return x.text; + }); + DOC_VERSIONS.forEach(function (each) { + var version_url = documenterBaseURL + "/../" + each + "/"; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $( + "" + ); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}); + +}) diff --git a/v0.18.1/assets/logo.png b/v0.18.1/assets/logo.png new file mode 100644 index 0000000000000000000000000000000000000000..1694b6569950ddbdc7013d67b1a40077baad12c1 GIT binary patch literal 24606 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kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#fff}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content 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html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark 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.button.is-warning.is-active{background-color:#946e00;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-warning[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning{background-color:#ad8100;border-color:#ad8100;box-shadow:none}html.theme--documenter-dark .button.is-warning.is-inverted{background-color:#fff;color:#ad8100}html.theme--documenter-dark .button.is-warning.is-inverted:hover,html.theme--documenter-dark .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ad8100}html.theme--documenter-dark .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark 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.button.is-danger.is-light{background-color:#fdeeec;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#fce3e0;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#fcd8d5;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons 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.hljs-string{color:#38a}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}.gap-4{gap:1rem} diff --git a/v0.18.1/assets/themeswap.js b/v0.18.1/assets/themeswap.js new file mode 100644 index 00000000..9f5eebe6 --- /dev/null +++ b/v0.18.1/assets/themeswap.js @@ -0,0 +1,84 @@ +// Small function to quickly swap out themes. Gets put into the tag.. +function set_theme_from_local_storage() { + // Initialize the theme to null, which means default + var theme = null; + // If the browser supports the localstorage and is not disabled then try to get the + // documenter theme + if (window.localStorage != null) { + // Get the user-picked theme from localStorage. May be `null`, which means the default + // theme. + theme = window.localStorage.getItem("documenter-theme"); + } + // Check if the users preference is for dark color scheme + var darkPreference = + window.matchMedia("(prefers-color-scheme: dark)").matches === true; + // Initialize a few variables for the loop: + // + // - active: will contain the index of the theme that should be active. Note that there + // is no guarantee that localStorage contains sane values. If `active` stays `null` + // we either could not find the theme or it is the default (primary) theme anyway. + // Either way, we then need to stick to the primary theme. + // + // - disabled: style sheets that should be disabled (i.e. all the theme style sheets + // that are not the currently active theme) + var active = null; + var disabled = []; + var primaryLightTheme = null; + var primaryDarkTheme = null; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // To distinguish the default (primary) theme, it needs to have the data-theme-primary + // attribute set. + if (ss.ownerNode.getAttribute("data-theme-primary") !== null) { + primaryLightTheme = themename; + } + // Check if the theme is primary dark theme so that we could store its name in darkTheme + if (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null) { + primaryDarkTheme = themename; + } + // If we find a matching theme (and it's not the default), we'll set active to non-null + if (themename === theme) active = i; + // Store the style sheets of inactive themes so that we could disable them + if (themename !== theme) disabled.push(ss); + } + var activeTheme = null; + if (active !== null) { + // If we did find an active theme, we'll (1) add the theme--$(theme) class to + document.getElementsByTagName("html")[0].className = "theme--" + theme; + activeTheme = theme; + } else { + // If we did _not_ find an active theme, then we need to fall back to the primary theme + // which can either be dark or light, depending on the user's OS preference. + var activeTheme = darkPreference ? primaryDarkTheme : primaryLightTheme; + // In case it somehow happens that the relevant primary theme was not found in the + // preceding loop, we abort without doing anything. + if (activeTheme === null) { + console.error("Unable to determine primary theme."); + return; + } + // When switching to the primary light theme, then we must not have a class name + // for the tag. 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The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // we'll disable all the stylesheets, except for the active one + ss.disabled = !(themename == activeTheme); + } +} +set_theme_from_local_storage(); diff --git a/v0.18.1/assets/warner.js b/v0.18.1/assets/warner.js new file mode 100644 index 00000000..3f6f5d00 --- /dev/null +++ b/v0.18.1/assets/warner.js @@ -0,0 +1,52 @@ +function maybeAddWarning() { + // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE + // in siteinfo.js. + // If either of these are undefined something went horribly wrong, so we abort. + if ( + window.DOCUMENTER_NEWEST === undefined || + window.DOCUMENTER_CURRENT_VERSION === undefined || + window.DOCUMENTER_STABLE === undefined + ) { + return; + } + + // Current version is not a version number, so we can't tell if it's the newest version. Abort. + if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) { + return; + } + + // Current version is newest version, so no need to add a warning. + if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) { + return; + } + + // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs. + if (document.body.querySelector('meta[name="robots"]') === null) { + const meta = document.createElement("meta"); + meta.name = "robots"; + meta.content = "noindex"; + + document.getElementsByTagName("head")[0].appendChild(meta); + } + + const div = document.createElement("div"); + div.classList.add("outdated-warning-overlay"); + const closer = document.createElement("button"); + closer.classList.add("outdated-warning-closer", "delete"); + closer.addEventListener("click", function () { + document.body.removeChild(div); + }); + const href = window.documenterBaseURL + "/../" + window.DOCUMENTER_STABLE; + div.innerHTML = + 'This documentation is not for the latest stable release, but for either the development version or an older release.
      Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", maybeAddWarning); +} else { + maybeAddWarning(); +} diff --git a/v0.18.1/generated/examples/1-mirt.ipynb b/v0.18.1/generated/examples/1-mirt.ipynb new file mode 100644 index 00000000..0813dd45 --- /dev/null +++ b/v0.18.1/generated/examples/1-mirt.ipynb @@ -0,0 +1,49 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# MIRT overview" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "The Julia package\n", + "[`MIRT.jl`](https://github.com/JeffFessler/MIRT.jl)\n", + "provides tools for performing image reconstruction\n", + "and solving related inverse problems.\n", + "\n", + "For more tools and more examples,\n", + "see\n", + "[JuliaImageRecon](https://github.com/JuliaImageRecon)" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "---\n", + "\n", + "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" + ], + "metadata": {} + } + ], + "nbformat_minor": 3, + "metadata": { + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "1.10.3" + }, + "kernelspec": { + "name": "julia-1.10", + "display_name": "Julia 1.10.3", + "language": "julia" + } + }, + "nbformat": 4 +} diff --git a/v0.18.1/generated/examples/1-mirt/index.html b/v0.18.1/generated/examples/1-mirt/index.html new file mode 100644 index 00000000..08c53d56 --- /dev/null +++ b/v0.18.1/generated/examples/1-mirt/index.html @@ -0,0 +1,2 @@ + +MIRT overview · MIRT.jl
      GitHub
      diff --git a/v0.18.1/generated/examples/2-nufft.ipynb b/v0.18.1/generated/examples/2-nufft.ipynb new file mode 100644 index 00000000..b32c1111 --- /dev/null +++ b/v0.18.1/generated/examples/2-nufft.ipynb @@ -0,0 +1,253 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# NUFFT\n", + "\n", + "Examples illustrating the `nufft` methods\n", + "in the Julia package\n", + "[`MIRT`](https://github.com/JeffFessler/MIRT.jl).\n", + "\n", + "The `nufft` functions in this package\n", + "are wrappers around\n", + "[NFFT.jl](https://github.com/JuliaMath/NFFT.jl).\n", + "\n", + "The plots on this page\n", + "are simply sanity checks\n", + "about of the approximation error\n", + "for that package\n", + "and they help verify the correctness\n", + "of the wrapper." + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "### Setup" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "Packages needed here." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "using Plots; default(markerstrokecolor = :auto, label=\"\")\n", + "using MIRTjim: prompt\n", + "using MIRT: nufft_init, nufft_errors, dtft\n", + "using InteractiveUtils: versioninfo" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "The following line is helpful when running this file as a script;\n", + "this way it will prompt user to hit a key after each figure is displayed." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "isinteractive() && prompt(:prompt);" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "## 1D example\n", + "\n", + "This code illustrates how to call the NUFFT." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "Ω = range(-1,1,301) * π # digital frequencies (radians/sample)\n", + "N = 16 # # of samples\n", + "(nufft, nufft_adjoint, Anufft) = nufft_init(Ω, N)\n", + "x = randn(ComplexF32, N) # random 1D signal\n", + "y1 = nufft(x) # one way to compute NUFFT\n", + "y2 = Anufft * x # another way to compute NUFFT\n", + "@assert y1 == y2\n", + "yd = dtft(Ω, x) # exact (slow) nonuniform discrete Fourier transform\n", + "maximum(abs, yd - y1) # worst error for this 1D signal" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "This plot shows that the NUFFT is very close to the exact nonuniform DFT." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "xticks = ([-π,0,π], [\"-π\", \"0\", \"π\"]); xlims = (-π,π); xlabel=\"Ω\"\n", + "p1 = plot(ylabel=\"Real part\"; xlabel, xlims, xticks)\n", + "plot!(Ω, real(y1), label=\"real(NUFFT)\", line=:dash)\n", + "plot!(Ω, real(yd), label=\"real(DTFT)\", line=:dot)\n", + "p2 = plot(ylabel=\"Imag part\"; xlabel, xlims, xticks)\n", + "plot!(Ω, imag(y1), label=\"imag(NUFFT)\", line=:dash)\n", + "plot!(Ω, imag(yd), label=\"imag(NUFFT)\", line=:dot)\n", + "p3 = plot(Ω, real(yd - y1), label=\"real(Error)\"; xlabel, xlims, xticks)\n", + "p4 = plot(Ω, imag(yd - y1), label=\"imag(Error)\"; xlabel, xlims, xticks)\n", + "plot(p1, p2, p3, p4)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "## Plot worst-case errors vs $N$\n", + "\n", + "Plot worst-case error\n", + "over all frequencies $Ω$ between $0$ and $2π/N$\n", + "for various $N$.\n", + "\n", + "Even for $N=512$\n", + "the error is below `4e-6`." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "Nlist = 2 .^ (4:9)\n", + "Nlist = [Nlist..., 191, 385] # test odd N values\n", + "errfunn = N -> maximum(nufft_errors( ; N)[2])\n", + "elist = errfunn.(Nlist)\n", + "pn = scatter(Nlist, elist,\n", + " xtick=Nlist, color=:red, xlabel=\"N\", ylabel=\"error\", yaxis=:log10)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "## Plot error vs NFFT `m`.\n", + "\n", + "For the default `m = 4`\n", + "the worst-case error is below `4e-6`." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "mlist = 3:7\n", + "errfunm = nfft_m -> maximum(nufft_errors( ; nfft_m)[2])\n", + "worst_m = errfunm.(mlist)\n", + "pm = scatter(mlist, worst_m,\n", + " xlabel=\"m\", ylabel=\"error\", color=:magenta, yaxis=:log10)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "## Plot error vs NFFT `sigma`.\n", + "For the default `σ = 4`\n", + "the worst-case error is below `4e-6`." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "slist = [1.5; 2:6] # σ\n", + "errfuns = nfft_sigma -> maximum(nufft_errors( ; nfft_sigma)[2])\n", + "worst_s = errfuns.(slist)\n", + "ps = scatter(slist, worst_s,\n", + " xlabel=\"σ\", ylabel=\"error\", color=:blue, yaxis=:log10)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "---\n", + "\n", + "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" + ], + "metadata": {} + } + ], + "nbformat_minor": 3, + "metadata": { + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "1.10.3" + }, + "kernelspec": { + "name": "julia-1.10", + "display_name": "Julia 1.10.3", + "language": "julia" + } + }, + "nbformat": 4 +} diff --git a/v0.18.1/generated/examples/2-nufft/2a1f14e6.svg b/v0.18.1/generated/examples/2-nufft/2a1f14e6.svg new file mode 100644 index 00000000..3c8c3a9d --- /dev/null +++ b/v0.18.1/generated/examples/2-nufft/2a1f14e6.svg @@ -0,0 +1,44 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/v0.18.1/generated/examples/2-nufft/2ebe591e.svg b/v0.18.1/generated/examples/2-nufft/2ebe591e.svg new file mode 100644 index 00000000..d4748fa1 --- /dev/null +++ b/v0.18.1/generated/examples/2-nufft/2ebe591e.svg @@ -0,0 +1,126 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/v0.18.1/generated/examples/2-nufft/3a6aa98d.svg b/v0.18.1/generated/examples/2-nufft/3a6aa98d.svg new file mode 100644 index 00000000..76a9b4a3 --- /dev/null +++ b/v0.18.1/generated/examples/2-nufft/3a6aa98d.svg @@ -0,0 +1,52 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/v0.18.1/generated/examples/2-nufft/7b6b2208.svg b/v0.18.1/generated/examples/2-nufft/7b6b2208.svg new file mode 100644 index 00000000..5d8d4818 --- /dev/null +++ b/v0.18.1/generated/examples/2-nufft/7b6b2208.svg @@ -0,0 +1,41 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/v0.18.1/generated/examples/2-nufft/index.html b/v0.18.1/generated/examples/2-nufft/index.html new file mode 100644 index 00000000..191921cd --- /dev/null +++ b/v0.18.1/generated/examples/2-nufft/index.html @@ -0,0 +1,57 @@ + +NUFFT · MIRT.jl
      GitHub

      NUFFT

      Examples illustrating the nufft methods in the Julia package MIRT.

      The nufft functions in this package are wrappers around NFFT.jl.

      The plots on this page are simply sanity checks about of the approximation error for that package and they help verify the correctness of the wrapper.

      This page comes from a single Julia file: 2-nufft.jl.

      You can access the source code for such Julia documentation using the 'Edit on GitHub' link in the top right. You can view the corresponding notebook in nbviewer here: 2-nufft.ipynb, or open it in binder here: 2-nufft.ipynb.

      Setup

      Packages needed here.

      using Plots; default(markerstrokecolor = :auto, label="")
+using MIRTjim: prompt
+using MIRT: nufft_init, nufft_errors, dtft
+using InteractiveUtils: versioninfo

      The following line is helpful when running this file as a script; this way it will prompt user to hit a key after each figure is displayed.

      isinteractive() && prompt(:prompt);

      1D example

      This code illustrates how to call the NUFFT.

      Ω = range(-1,1,301) * π # digital frequencies (radians/sample)
+N = 16 # # of samples
+(nufft, nufft_adjoint, Anufft) = nufft_init(Ω, N)
+x = randn(ComplexF32, N) # random 1D signal
+y1 = nufft(x) # one way to compute NUFFT
+y2 = Anufft * x # another way to compute NUFFT
+@assert y1 == y2
+yd = dtft(Ω, x) # exact (slow) nonuniform discrete Fourier transform
+maximum(abs, yd - y1) # worst error for this 1D signal
      9.103499588619486e-7

      This plot shows that the NUFFT is very close to the exact nonuniform DFT.

      xticks = ([-π,0,π], ["-π", "0", "π"]); xlims = (-π,π); xlabel="Ω"
+p1 = plot(ylabel="Real part"; xlabel, xlims, xticks)
+plot!(Ω, real(y1), label="real(NUFFT)", line=:dash)
+plot!(Ω, real(yd), label="real(DTFT)", line=:dot)
+p2 = plot(ylabel="Imag part"; xlabel, xlims, xticks)
+plot!(Ω, imag(y1), label="imag(NUFFT)", line=:dash)
+plot!(Ω, imag(yd), label="imag(NUFFT)", line=:dot)
+p3 = plot(Ω, real(yd - y1), label="real(Error)"; xlabel, xlims, xticks)
+p4 = plot(Ω, imag(yd - y1), label="imag(Error)"; xlabel, xlims, xticks)
+plot(p1, p2, p3, p4)
      Example block output
      prompt()

      Plot worst-case errors vs $N$

      Plot worst-case error over all frequencies $Ω$ between $0$ and $2π/N$ for various $N$.

      Even for $N=512$ the error is below 4e-6.

      Nlist = 2 .^ (4:9)
+Nlist = [Nlist..., 191, 385] # test odd N values
+errfunn = N -> maximum(nufft_errors( ; N)[2])
+elist = errfunn.(Nlist)
+pn = scatter(Nlist, elist,
+     xtick=Nlist, color=:red, xlabel="N", ylabel="error", yaxis=:log10)
      Example block output
      prompt()

      Plot error vs NFFT m.

      For the default m = 4 the worst-case error is below 4e-6.

      mlist = 3:7
+errfunm = nfft_m -> maximum(nufft_errors( ; nfft_m)[2])
+worst_m = errfunm.(mlist)
+pm = scatter(mlist, worst_m,
+    xlabel="m", ylabel="error", color=:magenta, yaxis=:log10)
      Example block output
      prompt()

      Plot error vs NFFT sigma.

      For the default σ = 4 the worst-case error is below 4e-6.

      slist = [1.5; 2:6] # σ
+errfuns = nfft_sigma -> maximum(nufft_errors( ; nfft_sigma)[2])
+worst_s = errfuns.(slist)
+ps = scatter(slist, worst_s,
+    xlabel="σ", ylabel="error", color=:blue, yaxis=:log10)
      Example block output
      prompt()

      Reproducibility

      This page was generated with the following version of Julia:

      using InteractiveUtils: versioninfo
+io = IOBuffer(); versioninfo(io); split(String(take!(io)), '\n')
      12-element Vector{SubString{String}}:
+ "Julia Version 1.10.3"
+ "Commit 0b4590a5507 (2024-04-30 10:59 UTC)"
+ "Build Info:"
+ "  Official https://julialang.org/ release"
+ "Platform Info:"
+ "  OS: Linux (x86_64-linux-gnu)"
+ "  CPU: 4 × AMD EPYC 7763 64-Core Processor"
+ "  WORD_SIZE: 64"
+ "  LIBM: libopenlibm"
+ "  LLVM: libLLVM-15.0.7 (ORCJIT, znver3)"
+ "Threads: 1 default, 0 interactive, 1 GC (on 4 virtual cores)"
+ ""

      And with the following package versions

      import Pkg; Pkg.status()
      Status `~/work/MIRT.jl/MIRT.jl/docs/Project.toml`
+  [6e4b80f9] BenchmarkTools v1.5.0
+  [e30172f5] Documenter v1.4.1
+  [d3d80556] LineSearches v7.2.0
+  [98b081ad] Literate v2.18.0
+  [7035ae7a] MIRT v0.18.1 `~/work/MIRT.jl/MIRT.jl`
+  [170b2178] MIRTjim v0.24.0
+  [91a5bcdd] Plots v1.40.4
+  [b77e0a4c] InteractiveUtils
+  [9a3f8284] Random

      This page was generated using Literate.jl.

      diff --git a/v0.18.1/generated/examples/3-ls-mm.ipynb b/v0.18.1/generated/examples/3-ls-mm.ipynb new file mode 100644 index 00000000..849abc9d --- /dev/null +++ b/v0.18.1/generated/examples/3-ls-mm.ipynb @@ -0,0 +1,633 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# Line search MM\n", + "\n", + "Examples illustrating the\n", + "line-search method\n", + "based on majorize-minimize (MM) principles\n", + "in the Julia package\n", + "[`MIRT`](https://github.com/JeffFessler/MIRT.jl).\n", + "This method is probably most useful\n", + "for algorithm developers." + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "### Setup" + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "Packages needed here." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "using Plots; default(markerstrokecolor = :auto, label=\"\")\n", + "using MIRTjim: prompt\n", + "using MIRT: line_search_mm, LineSearchMMWork\n", + "using LineSearches: BackTracking, HagerZhang, MoreThuente\n", + "using LinearAlgebra: norm, dot\n", + "using Random: seed!; seed!(0)\n", + "using BenchmarkTools: @btime, @benchmark\n", + "using InteractiveUtils: versioninfo" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "The following line is helpful when running this file as a script;\n", + "this way it will prompt user to hit a key after each figure is displayed." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "isinteractive() && prompt(:prompt);" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "# Theory\n", + "\n", + "Many methods for solving inverse problems\n", + "involve optimization problems\n", + "of the form\n", + "$$\n", + "\\hat{x} = \\arg\\min_{x ∈ \\mathbb{F}^N} f(x)\n", + ",\\qquad\n", + "f(x) = \\sum_{j=1}^J f_j(B_j x)\n", + "$$\n", + "where $\\mathbb{F}$ denotes the field of real or complex numbers,\n", + "matrix $B_j$ has size $M_j × N$,\n", + "and $f_j : \\mathbb{F}^{M_j} ↦ \\mathbb{R}$.\n", + "\n", + "One could apply general-purpose optimization methods here,\n", + "like those in\n", + "[Optim.jl](https://github.com/JuliaNLSolvers/Optim.jl),\n", + "but often we can obtain faster results\n", + "by exploiting the specific\n", + "(yet still fairly general) structure,\n", + "particularly when the problem dimension $N$ is large.\n", + "\n", + "Many algorithms for solving such problems\n", + "require an inner 1D optimization problem\n", + "called a\n", + "[line search](https://en.wikipedia.org/wiki/Line_search)\n", + "of the form\n", + "$$\n", + "α_* = \\arg\\min_{α ∈ \\mathbb{R}} h(α)\n", + ",\\qquad\n", + "h(α) = f(x + α d),\n", + "$$\n", + "for some search direction $d$.\n", + "There are general purpose line search algorithms in\n", + "[LineSearches.jl](https://github.com/JuliaNLSolvers/LineSearches.jl),\n", + "but here we focus on the specific form of $f$ given above.\n", + "\n", + "For that form we see that we have the special structure\n", + "$$\n", + "h(α) = \\sum_{j=1}^J f_j(u_j + α v_j)\n", + ",\\qquad\n", + "u_j = B_j x\n", + ",\\quad\n", + "v_j = B_j d.\n", + "$$\n", + "\n", + "Here we focus further\n", + "on the case where each function $f_j(⋅)$\n", + "has a quadratic majorizer\n", + "of the form\n", + "$$\n", + "f_j(x) ≤ q_j(x,z) = f_j(z) + \\text{real}(⟨ ∇f_j(z), x - z ⟩)\n", + "+ \\frac{1}{2} (x - z)' D_j(z) (x - z),\n", + "$$\n", + "where $D_j(z)$ is a positive semidefinite matrix\n", + "that typically is diagonal.\n", + "Often it is a constant times the identity matrix,\n", + "e.g.,\n", + "a Lipschitz constant for $∇f_j$,\n", + "but often there are\n", + "sharper majorizers.\n", + "\n", + "Such quadratic majorizers\n", + "induce a quadratic majorizer\n", + "for $h(α)$ as well:\n", + "$$\n", + "h(α) ≤ q(α; α_t) =\n", + "\\sum_{j=1}^J q_j(u_j + α v_j; u_j + α_t v_j)\n", + "= h(α_t) + c_1(α_t) (α - α_t)\n", + "+ \\frac{1}{2} c_2(α_t) (α - α_t)^2\n", + "$$\n", + "where\n", + "$$\n", + "c_1(α_t) = \\sum_{j=1}^J \\text{real}(⟨ ∇f_j(u_j + α_t v_j), v_j ⟩)\n", + ",\\qquad\n", + "c_2(α_t) = \\sum_{j=1}^J v_j' D_j(u_j + α_t v_j) v_j.\n", + "$$\n", + "\n", + "The `line_search_mm` function\n", + "in this package\n", + "uses this quadratic majorizer\n", + "to update $α$\n", + "using the iteration\n", + "$$\n", + "α_{t+1}\n", + "= \\arg\\min_{α} q(α;α_t)\n", + "= α_t - c_1(α_t) / c_2(α_t).\n", + "$$\n", + "Being an MM algorithm,\n", + "it is guaranteed to decrease\n", + "$h(α)$ every update.\n", + "For an early exposition of this approach,\n", + "see\n", + "[Fessler & Booth, 1999](http://doi.org/10.1109/83.760336).\n", + "\n", + "From the above derivation,\n", + "the main ingredients needed are\n", + "functions for computing\n", + "the dot products\n", + "$⟨ ∇f_j(u_j + α_t v_j), v_j ⟩$\n", + "and\n", + "$v_j' D_j(u_j + α_t v_j) v_j$.\n", + "\n", + "The `line_search_mm` function\n", + "can construct such functions\n", + "given input gradient functions\n", + "$[∇f_1,…,∇f_J]$\n", + "and curvature functions\n", + "$[ω_1,…,ω_J]$\n", + "where\n", + "$D_j(z) = \\text{Diag}(ω_j(z))$.\n", + "\n", + "Alternatively,\n", + "the user can provide functions\n", + "for computing the dot products.\n", + "\n", + "All of this is best illustrated\n", + "by an example.\n", + "\n", + "# Smooth LASSO problem\n", + "\n", + "The usual LASSO optimization problem uses the cost function\n", + "$$\n", + "f(x) = \\frac{1}{2} \\| A x - y \\|_2^2 + β R(x)\n", + ",\\qquad\n", + "R(x) = \\| x \\|_1 = \\sum_{n=1}^N |x_n| = 1' \\text{abs.}(x).\n", + "$$\n", + "\n", + "The 1-norm is just a relaxation of the 0-norm\n", + "so here we further \"relax\" it\n", + "by considering the \"corner rounded\" version\n", + "using the Fair potential function\n", + "$$\n", + "R(x) = \\sum_{n=1}^N ψ(x_n) = 1' ψ.(x),\n", + "\\qquad\n", + "ψ(z) = δ^2 |z/δ| - \\log(1 + |z/δ|)\n", + "$$\n", + "for a small value of $δ$.\n", + "\n", + "The derivative of this potential function\n", + "is\n", + "$\\dot{ψ}(z) = z / (1 + |z / δ|)$\n", + "and Huber's curvature\n", + "$ω_{ψ}(z) = 1 / (1 + |z / δ|)$\n", + "provides a suitable majorizer.\n", + "\n", + "This smooth LASSO cost function has the general form above\n", + "with $J=2$,\n", + "$B_1 = A$,\n", + "$B_2 = I$,\n", + "$f_1(u) = \\frac{1}{2} \\| u - y \\|_2^2,$\n", + "$f_2(u) = β 1' ψ.(u),$\n", + "for which\n", + "$∇f_1(u) = u - y,$\n", + "$∇f_2(u) = β ψ.(u),$\n", + "and\n", + "$∇^2 f_1(u) = I,$\n", + "$∇^2 f_2(u) \\succeq β \\, \\text{diag}(ω_{ψ}(u)).$\n", + "\n", + "Set up an example and plot $h(α)$." + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "Fair potential, its derivative and Huber weighting function:" + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "function fair_pot()\n", + " fpot(z,δ) = δ^2 * (abs(z/δ) - log(1 + abs(z/δ)))\n", + " dpot(z,δ) = z / (1 + abs(z/δ))\n", + " wpot(z,δ) = 1 / (1 + abs(z/δ))\n", + " return fpot, dpot, wpot\n", + "end;" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Data, cost function and gradients for smooth LASSO problem:" + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "M, N = 1000, 2000\n", + "A = randn(M,N)\n", + "x0 = randn(N) .* (rand(N) .< 0.4) # sparse vector\n", + "y = A * x0 + 0.001 * randn(M)\n", + "β = 95\n", + "δ = 0.1\n", + "fpot, dpot, wpot = Base.Fix2.(fair_pot(), δ)\n", + "\n", + "f(x) = 0.5 * norm(A * x - y)^2 + β * sum(fpot, x)\n", + "∇f(x) = A' * (A * x - y) + β * dpot.(x)\n", + "x = randn(N) # random point\n", + "d = -∇f(x)/M # some search direction\n", + "h(α) = f(x + α * d)\n", + "dh(α) = d' * ∇f(x + α * d)\n", + "pa = plot(h, xlabel=\"α\", ylabel=\"h(α)\", xlims=(-1, 2))" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Apply MM-based line search: simple version.\n", + "The key inputs are the gradient and curvature functions:" + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "gradf = [\n", + " u -> u - y, # ∇f₁ for data-fit term\n", + " u -> β * dpot.(u), # ∇f₂ for regularizer\n", + "]\n", + "curvf = [\n", + " 1, # curvature for data-fit term\n", + " u -> β * wpot.(u), # Huber curvature for regularizer\n", + "]\n", + "\n", + "uu = [A * x, x] # [u₁ u₂]\n", + "vv = [A * d, d] # [v₁ v₂]\n", + "fun(state) = state.α # log this\n", + "ninner = 7\n", + "out = Vector{Any}(undef, ninner+1)\n", + "α0 = 0\n", + "αstar = line_search_mm(gradf, curvf, uu, vv; ninner, out, fun, α0)\n", + "hmin = h(αstar)\n", + "scatter!([αstar], [hmin], marker=:star, color=:red)\n", + "scatter!([α0], [h(α0)], marker=:circle, color=:green)\n", + "ps = plot(0:ninner, out, marker=:circle, xlabel=\"iteration\", ylabel=\"α\",\n", + " color = :green)\n", + "pd = plot(0:ninner, abs.(dh.(out)), marker=:diamond,\n", + " yaxis = :log, color=:red,\n", + " xlabel=\"iteration\", ylabel=\"|dh(α)|\")\n", + "pu = plot(1:ninner, log10.(max.(abs.(diff(out)), 1e-16)), marker=:square,\n", + " color=:blue, xlabel=\"iteration\", ylabel=\"log10(|α_k - α_{k-1}|)\")\n", + "plot(pa, ps, pd, pu)" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Thanks to Huber's curvatures,\n", + "the $α_t$ sequence converges very quickly.\n", + "\n", + "Now explore a fancier version\n", + "that needs less heap memory." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "work = LineSearchMMWork(uu, vv, α0) # pre-allocate\n", + "function lsmm1(gradf, curvf)\n", + " return line_search_mm(gradf, curvf, uu, vv;\n", + " ninner, out, fun, α0, work)\n", + "end\n", + "function lsmm2(dot_gradf, dot_curvf)\n", + " gradn = [() -> nothing, () -> nothing]\n", + " return line_search_mm(uu, vv, dot_gradf, dot_curvf;\n", + " ninner, out, fun, α0, work)\n", + "end;" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "The `let` statements below are a performance trick from the\n", + "[Julia manual](https://docs.julialang.org/en/v1/manual/performance-tips/#man-performance-captured-1).\n", + "Using `Iterators.map` avoids allocating arrays like `z - y`\n", + "and does not even require any work space." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "gradz = [\n", + " let y=y; z -> Iterators.map(-, z, y); end, # z - y\n", + " let β=β, dpot=dpot; z -> Iterators.map(z -> β * dpot(z), z); end, # β * dψ.(z)\n", + "]\n", + "curvz = [\n", + " 1,\n", + " let β=β, wpot=wpot; z -> Iterators.map(z -> β * wpot(z), z); end, # β * ωψ.(z)\n", + "]\n", + "\n", + "function make_grad1c()\n", + " w = similar(uu[1]) # work-space\n", + " let w=w, y=y\n", + " function grad1c(z)\n", + " @. w = z - y\n", + " return w\n", + " end\n", + " end\n", + "end\n", + "\n", + "function make_grad2c()\n", + " w = similar(uu[2]) # work-space\n", + " let w=w, β=β, dpot=dpot\n", + " function grad2c(z)\n", + " @. w = β * dpot(z)\n", + " return w\n", + " end\n", + " end\n", + "end\n", + "\n", + "function make_curv2c()\n", + " w = similar(uu[2]) # work-space\n", + " let w=w, β=β, wpot=wpot\n", + " function curv2c(z)\n", + " @. w = β * wpot(z) # β * ωψ.(z)\n", + " return w\n", + " end\n", + " end\n", + "end\n", + "\n", + "gradc = [ # capture version\n", + " make_grad1c(), # z - y\n", + " make_grad2c(), # β * dψ.(z)\n", + "]\n", + "curvc = [\n", + " 1,\n", + " make_curv2c(), # β * ωψ.(z)\n", + "]\n", + "\n", + "sum_map(f::Function, args...) = sum(Iterators.map(f, args...))\n", + "dot_gradz = [\n", + " let y=y; (v,z) -> sum_map((v,z,y) -> dot(v, z - y), v, z, y); end, # v'(z - y)\n", + " let β=β, dpot=dpot; (v,z) -> β * sum_map((v,z) -> dot(v, dpot(z)), v, z); end, # β * (v'dψ.(z))\n", + "]\n", + "dot_curvz = [\n", + " (v,z) -> norm(v)^2,\n", + " let β=β, wpot=wpot; (v,z) -> β * sum_map((v,z) -> abs2(v) * wpot(z), v, z); end, # β * (abs2.(v)'ωψ.(z))\n", + "]\n", + "\n", + "\n", + "a1 = lsmm1(gradf, curvf)\n", + "a1c = lsmm1(gradc, curvc)\n", + "a2 = lsmm1(gradz, curvz)\n", + "a3 = lsmm2(dot_gradz, dot_curvz)\n", + "@assert a1 ≈ a2 ≈ a3 ≈ a1c\n", + "\n", + "b1 = @benchmark a1 = lsmm1($gradf, $curvf)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "bc = @benchmark a1c = lsmm1($gradc, $curvc)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "b2 = @benchmark a2 = lsmm1($gradz, $curvz)" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "b3 = @benchmark a3 = lsmm2($dot_gradz, $dot_curvz)" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Timing results on my Mac:\n", + "- 95 μs\n", + "- 65 μs # 1c after using `make_`\n", + "- 80 μs\n", + "- 69 μs (and lowest memory)\n", + "\n", + "The versions using `gradc` and `dot_gradz`\n", + "with their \"properly captured\" variables\n", + "are the fastest.\n", + "But all the versions here are pretty similar\n", + "so even using the simplest version\n", + "seems likely to be fine." + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "## Compare with LineSearches.jl\n", + "\n", + "Was all this specialized effort useful?\n", + "Let's compare to the general line search methods in\n", + "[LineSearches.jl](https://github.com/JuliaNLSolvers/LineSearches.jl).\n", + "\n", + "It seems that some of those methods do not allow $α₀ = 0$\n", + "so we use 1.0 instead.\n", + "We use the default arguments for all the solvers,\n", + "which means some of them might terminate\n", + "before `ninner` iterations,\n", + "giving them a potential speed advantage." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "a0 = 1.0 # α0\n", + "hdh(α) = h(α), dh(α)\n", + "h0 = h(0)\n", + "dh0 = dh(0);\n", + "function ls_ls(linesearch)\n", + " a1, fx = linesearch(h, dh, hdh, a0, h0, dh0)\n", + " return a1\n", + "end;\n", + "\n", + "solvers = [\n", + " BackTracking( ; iterations = ninner),\n", + " HagerZhang( ; linesearchmax = ninner),\n", + " MoreThuente( ; maxfev = ninner),\n", + "]\n", + "for ls in solvers # check that they work properly\n", + " als = ls_ls(ls)\n", + " @assert isapprox(als, αstar; atol=1e-3)\n", + "end;" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "bbt = @benchmark ls_ls($(solvers[1]))" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "bhz = @benchmark ls_ls($(solvers[2]))" + ], + "metadata": {}, + "execution_count": null + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "bmt = @benchmark ls_ls($(solvers[3]))" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "On my Mac the timings are all much longer\n", + "compared to `line_search_mm`:\n", + "- 840 μs `BackTracking`\n", + "- 2.6 ms `HagerZhang`\n", + "- 3.9 ms `MoreThuente`\n", + "\n", + "This comparison illustrates\n", + "the benefit of the \"special purpose\" line search.\n", + "\n", + "\n", + "The fastest version seems to be `BackTracking`,\n", + "so plot its iterates:" + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "alpha_bt = zeros(ninner + 1)\n", + "alpha_bt[1] = a0\n", + "for iter in 1:ninner\n", + " tmp = BackTracking( ; iterations = iter)\n", + " alpha_bt[iter+1] = ls_ls(tmp)\n", + "end\n", + "plot(0:ninner, alpha_bt, marker=:square, color=:blue,\n", + " xlabel=\"Iteration\", ylabel=\"BackTracking α\")\n", + "plot!([0, ninner], [1,1] * αstar, color=:red)" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "Unexpectedly,\n", + "`BackTracking` seems to terminate at the first iteration.\n", + "But even just that single iteration is slower than 7 iterations\n", + "of `line_search_mm`." + ], + "metadata": {} + }, + { + "outputs": [], + "cell_type": "code", + "source": [ + "prompt()" + ], + "metadata": {}, + "execution_count": null + }, + { + "cell_type": "markdown", + "source": [ + "---\n", + "\n", + "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" + ], + "metadata": {} + } + ], + "nbformat_minor": 3, + "metadata": { + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "1.10.3" + }, + "kernelspec": { + "name": "julia-1.10", + "display_name": "Julia 1.10.3", + "language": "julia" + } + }, + "nbformat": 4 +} diff --git a/v0.18.1/generated/examples/3-ls-mm/1f83f97b.svg b/v0.18.1/generated/examples/3-ls-mm/1f83f97b.svg new file mode 100644 index 00000000..72e44ceb --- /dev/null +++ b/v0.18.1/generated/examples/3-ls-mm/1f83f97b.svg @@ -0,0 +1,149 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/v0.18.1/generated/examples/3-ls-mm/41270d18.svg b/v0.18.1/generated/examples/3-ls-mm/41270d18.svg new file mode 100644 index 00000000..9400e1e1 --- /dev/null +++ b/v0.18.1/generated/examples/3-ls-mm/41270d18.svg @@ -0,0 +1,41 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/v0.18.1/generated/examples/3-ls-mm/b105b23d.svg b/v0.18.1/generated/examples/3-ls-mm/b105b23d.svg new file mode 100644 index 00000000..91407b8f --- /dev/null +++ b/v0.18.1/generated/examples/3-ls-mm/b105b23d.svg @@ -0,0 +1,48 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/v0.18.1/generated/examples/3-ls-mm/index.html b/v0.18.1/generated/examples/3-ls-mm/index.html new file mode 100644 index 00000000..0a8aec57 --- /dev/null +++ b/v0.18.1/generated/examples/3-ls-mm/index.html @@ -0,0 +1,258 @@ + +Line search MM · MIRT.jl
      GitHub

      Line search MM

      Examples illustrating the line-search method based on majorize-minimize (MM) principles in the Julia package MIRT. This method is probably most useful for algorithm developers.

      This page comes from a single Julia file: 3-ls-mm.jl.

      You can access the source code for such Julia documentation using the 'Edit on GitHub' link in the top right. You can view the corresponding notebook in nbviewer here: 3-ls-mm.ipynb, or open it in binder here: 3-ls-mm.ipynb.

      Setup

      Packages needed here.

      using Plots; default(markerstrokecolor = :auto, label="")
+using MIRTjim: prompt
+using MIRT: line_search_mm, LineSearchMMWork
+using LineSearches: BackTracking, HagerZhang, MoreThuente
+using LinearAlgebra: norm, dot
+using Random: seed!; seed!(0)
+using BenchmarkTools: @btime, @benchmark
+using InteractiveUtils: versioninfo

      The following line is helpful when running this file as a script; this way it will prompt user to hit a key after each figure is displayed.

      isinteractive() && prompt(:prompt);

      Theory

      Many methods for solving inverse problems involve optimization problems of the form

      \[\hat{x} = \arg\min_{x ∈ \mathbb{F}^N} f(x) +,\qquad +f(x) = \sum_{j=1}^J f_j(B_j x)\]

      where $\mathbb{F}$ denotes the field of real or complex numbers, matrix $B_j$ has size $M_j × N$, and $f_j : \mathbb{F}^{M_j} ↦ \mathbb{R}$.

      One could apply general-purpose optimization methods here, like those in Optim.jl, but often we can obtain faster results by exploiting the specific (yet still fairly general) structure, particularly when the problem dimension $N$ is large.

      Many algorithms for solving such problems require an inner 1D optimization problem called a line search of the form

      \[α_* = \arg\min_{α ∈ \mathbb{R}} h(α) +,\qquad +h(α) = f(x + α d),\]

      for some search direction $d$. There are general purpose line search algorithms in LineSearches.jl, but here we focus on the specific form of $f$ given above.

      For that form we see that we have the special structure

      \[h(α) = \sum_{j=1}^J f_j(u_j + α v_j) +,\qquad +u_j = B_j x +,\quad +v_j = B_j d.\]

      Here we focus further on the case where each function $f_j(⋅)$ has a quadratic majorizer of the form

      \[f_j(x) ≤ q_j(x,z) = f_j(z) + \text{real}(⟨ ∇f_j(z), x - z ⟩) ++ \frac{1}{2} (x - z)' D_j(z) (x - z),\]

      where $D_j(z)$ is a positive semidefinite matrix that typically is diagonal. Often it is a constant times the identity matrix, e.g., a Lipschitz constant for $∇f_j$, but often there are sharper majorizers.

      Such quadratic majorizers induce a quadratic majorizer for $h(α)$ as well:

      \[h(α) ≤ q(α; α_t) = +\sum_{j=1}^J q_j(u_j + α v_j; u_j + α_t v_j) += h(α_t) + c_1(α_t) (α - α_t) ++ \frac{1}{2} c_2(α_t) (α - α_t)^2\]

      where

      \[c_1(α_t) = \sum_{j=1}^J \text{real}(⟨ ∇f_j(u_j + α_t v_j), v_j ⟩) +,\qquad +c_2(α_t) = \sum_{j=1}^J v_j' D_j(u_j + α_t v_j) v_j.\]

      The line_search_mm function in this package uses this quadratic majorizer to update $α$ using the iteration

      \[α_{t+1} += \arg\min_{α} q(α;α_t) += α_t - c_1(α_t) / c_2(α_t).\]

      Being an MM algorithm, it is guaranteed to decrease $h(α)$ every update. For an early exposition of this approach, see Fessler & Booth, 1999.

      From the above derivation, the main ingredients needed are functions for computing the dot products $⟨ ∇f_j(u_j + α_t v_j), v_j ⟩$ and $v_j' D_j(u_j + α_t v_j) v_j$.

      The line_search_mm function can construct such functions given input gradient functions $[∇f_1,…,∇f_J]$ and curvature functions $[ω_1,…,ω_J]$ where $D_j(z) = \text{Diag}(ω_j(z))$.

      Alternatively, the user can provide functions for computing the dot products.

      All of this is best illustrated by an example.

      Smooth LASSO problem

      The usual LASSO optimization problem uses the cost function

      \[f(x) = \frac{1}{2} \| A x - y \|_2^2 + β R(x) +,\qquad +R(x) = \| x \|_1 = \sum_{n=1}^N |x_n| = 1' \text{abs.}(x).\]

      The 1-norm is just a relaxation of the 0-norm so here we further "relax" it by considering the "corner rounded" version using the Fair potential function

      \[R(x) = \sum_{n=1}^N ψ(x_n) = 1' ψ.(x), +\qquad +ψ(z) = δ^2 |z/δ| - \log(1 + |z/δ|)\]

      for a small value of $δ$.

      The derivative of this potential function is $\dot{ψ}(z) = z / (1 + |z / δ|)$ and Huber's curvature $ω_{ψ}(z) = 1 / (1 + |z / δ|)$ provides a suitable majorizer.

      This smooth LASSO cost function has the general form above with $J=2$, $B_1 = A$, $B_2 = I$, $f_1(u) = \frac{1}{2} \| u - y \|_2^2,$ $f_2(u) = β 1' ψ.(u),$ for which $∇f_1(u) = u - y,$ $∇f_2(u) = β ψ.(u),$ and $∇^2 f_1(u) = I,$ $∇^2 f_2(u) \succeq β \, \text{diag}(ω_{ψ}(u)).$

      Set up an example and plot $h(α)$.

      Fair potential, its derivative and Huber weighting function:

      function fair_pot()
+    fpot(z,δ) = δ^2 * (abs(z/δ) - log(1 + abs(z/δ)))
+    dpot(z,δ) = z / (1 + abs(z/δ))
+    wpot(z,δ) = 1 / (1 + abs(z/δ))
+    return fpot, dpot, wpot
+end;

      Data, cost function and gradients for smooth LASSO problem:

      M, N = 1000, 2000
+A = randn(M,N)
+x0 = randn(N) .* (rand(N) .< 0.4) # sparse vector
+y = A * x0 + 0.001 * randn(M)
+β = 95
+δ = 0.1
+fpot, dpot, wpot = Base.Fix2.(fair_pot(), δ)
+
+f(x) = 0.5 * norm(A * x - y)^2 + β * sum(fpot, x)
+∇f(x) = A' * (A * x - y) + β * dpot.(x)
+x = randn(N) # random point
+d = -∇f(x)/M # some search direction
+h(α) = f(x + α * d)
+dh(α) = d' * ∇f(x + α * d)
+pa = plot(h, xlabel="α", ylabel="h(α)", xlims=(-1, 2))
      Example block output

      Apply MM-based line search: simple version. The key inputs are the gradient and curvature functions:

      gradf = [
+    u -> u - y, # ∇f₁ for data-fit term
+    u -> β * dpot.(u), # ∇f₂ for regularizer
+]
+curvf = [
+    1, # curvature for data-fit term
+    u -> β * wpot.(u), # Huber curvature for regularizer
+]
+
+uu = [A * x, x] # [u₁ u₂]
+vv = [A * d, d] # [v₁ v₂]
+fun(state) = state.α # log this
+ninner = 7
+out = Vector{Any}(undef, ninner+1)
+α0 = 0
+αstar = line_search_mm(gradf, curvf, uu, vv; ninner, out, fun, α0)
+hmin = h(αstar)
+scatter!([αstar], [hmin], marker=:star, color=:red)
+scatter!([α0], [h(α0)], marker=:circle, color=:green)
+ps = plot(0:ninner, out, marker=:circle, xlabel="iteration", ylabel="α",
+    color = :green)
+pd = plot(0:ninner, abs.(dh.(out)), marker=:diamond,
+    yaxis = :log, color=:red,
+    xlabel="iteration", ylabel="|dh(α)|")
+pu = plot(1:ninner, log10.(max.(abs.(diff(out)), 1e-16)), marker=:square,
+    color=:blue, xlabel="iteration", ylabel="log10(|α_k - α_{k-1}|)")
+plot(pa, ps, pd, pu)
      Example block output

      Thanks to Huber's curvatures, the $α_t$ sequence converges very quickly.

      Now explore a fancier version that needs less heap memory.

      work = LineSearchMMWork(uu, vv, α0) # pre-allocate
+function lsmm1(gradf, curvf)
+    return line_search_mm(gradf, curvf, uu, vv;
+        ninner, out, fun, α0, work)
+end
+function lsmm2(dot_gradf, dot_curvf)
+    gradn = [() -> nothing, () -> nothing]
+    return line_search_mm(uu, vv, dot_gradf, dot_curvf;
+        ninner, out, fun, α0, work)
+end;

      The let statements below are a performance trick from the Julia manual. Using Iterators.map avoids allocating arrays like z - y and does not even require any work space.

      gradz = [
+    let y=y; z -> Iterators.map(-, z, y); end, # z - y
+    let β=β, dpot=dpot; z -> Iterators.map(z -> β * dpot(z), z); end, # β * dψ.(z)
+]
+curvz = [
+    1,
+    let β=β, wpot=wpot; z -> Iterators.map(z -> β * wpot(z), z); end, # β * ωψ.(z)
+]
+
+function make_grad1c()
+    w = similar(uu[1]) # work-space
+    let w=w, y=y
+        function grad1c(z)
+            @. w = z - y
+            return w
+        end
+    end
+end
+
+function make_grad2c()
+    w = similar(uu[2]) # work-space
+    let w=w, β=β, dpot=dpot
+        function grad2c(z)
+            @. w = β * dpot(z)
+            return w
+        end
+    end
+end
+
+function make_curv2c()
+    w = similar(uu[2]) # work-space
+    let w=w, β=β, wpot=wpot
+        function curv2c(z)
+            @. w = β * wpot(z) # β * ωψ.(z)
+            return w
+        end
+    end
+end
+
+gradc = [ # capture version
+    make_grad1c(), # z - y
+    make_grad2c(), # β * dψ.(z)
+]
+curvc = [
+    1,
+    make_curv2c(), # β * ωψ.(z)
+]
+
+sum_map(f::Function, args...) = sum(Iterators.map(f, args...))
+dot_gradz = [
+    let y=y; (v,z) -> sum_map((v,z,y) -> dot(v, z - y), v, z, y); end, # v'(z - y)
+    let β=β, dpot=dpot; (v,z) -> β * sum_map((v,z) -> dot(v, dpot(z)), v, z); end, # β * (v'dψ.(z))
+]
+dot_curvz = [
+    (v,z) -> norm(v)^2,
+    let β=β, wpot=wpot; (v,z) -> β * sum_map((v,z) -> abs2(v) * wpot(z), v, z); end, # β * (abs2.(v)'ωψ.(z))
+]
+
+
+a1 = lsmm1(gradf, curvf)
+a1c = lsmm1(gradc, curvc)
+a2 = lsmm1(gradz, curvz)
+a3 = lsmm2(dot_gradz, dot_curvz)
+@assert a1 ≈ a2 ≈ a3 ≈ a1c
+
+b1 = @benchmark a1 = lsmm1($gradf, $curvf)
      BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):   85.100 μs …   5.429 ms  ┊ GC (min … max): 0.00% … 97.07%
+ Time  (median):      94.888 μs               ┊ GC (median):    0.00%
+ Time  (mean ± σ):   104.055 μs ± 111.127 μs  ┊ GC (mean ± σ):  7.00% ±  8.02%
+
+  ▇█▄▃▁                                                         ▂
+  █████▇▅▄▄▄▅▅▅▄▃▁▃▁▁▃▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▃ █
+  85.1 μs       Histogram: log(frequency) by time        631 μs <
+
+ Memory estimate: 502.16 KiB, allocs estimate: 239.
      bc = @benchmark a1c = lsmm1($gradc, $curvc)
      BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):  63.569 μs …  3.567 ms  ┊ GC (min … max): 0.00% … 94.80%
+ Time  (median):     64.872 μs              ┊ GC (median):    0.00%
+ Time  (mean ± σ):   66.214 μs ± 35.456 μs  ┊ GC (mean ± σ):  0.51% ±  0.95%
+
+  ▁▆███▇▅▄▃▂▁▁▁                                               ▂
+  ████████████████▇▇▆▆▆▅▅▅▄▅▅▅▄▅▃▃▁▃▁▄▃▅▆▆▆▇▅▇▅▇▇▆▇▇▇▇▇▇████▇ █
+  63.6 μs      Histogram: log(frequency) by time      83.1 μs <
+
+ Memory estimate: 4.95 KiB, allocs estimate: 179.
      b2 = @benchmark a2 = lsmm1($gradz, $curvz)
      BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):  111.498 μs …  3.541 ms  ┊ GC (min … max): 0.00% … 93.54%
+ Time  (median):     112.641 μs              ┊ GC (median):    0.00%
+ Time  (mean ± σ):   113.799 μs ± 34.497 μs  ┊ GC (mean ± σ):  0.29% ±  0.94%
+
+  ▂▇██▇▆▄▃▃▂▂▁▁                                                ▂
+  ███████████████▇█▆▇▆▅▆▆▄▄▄▅▅▄▅▃▄▄▆▇█▇▇▆▇▇▆▆▆▅▄▄▄▄▅▄▂▄▄▃▄▂▄▂▃ █
+  111 μs        Histogram: log(frequency) by time       131 μs <
+
+ Memory estimate: 4.91 KiB, allocs estimate: 179.
      b3 = @benchmark a3 = lsmm2($dot_gradz, $dot_curvz)
      BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):  101.510 μs … 174.844 μs  ┊ GC (min … max): 0.00% … 0.00%
+ Time  (median):     102.001 μs               ┊ GC (median):    0.00%
+ Time  (mean ± σ):   102.646 μs ±   2.519 μs  ┊ GC (mean ± σ):  0.00% ± 0.00%
+
+  ██▅▇▇▅▄▂▂▃▃▁▁▁                                                ▂
+  ███████████████▇▇▇█▇▆▆▅▄▅▅▄▅▄▃▄▄▃▂▃▄▄▅▄▅▅▆▅▆▆▆▇██▇▇▆▇▄▆▆▄▅▄▄▄ █
+  102 μs        Histogram: log(frequency) by time        113 μs <
+
+ Memory estimate: 2.08 KiB, allocs estimate: 110.

      Timing results on my Mac:

      • 95 μs
      • 65 μs # 1c after using make_
      • 80 μs
      • 69 μs (and lowest memory)

      The versions using gradc and dot_gradz with their "properly captured" variables are the fastest. But all the versions here are pretty similar so even using the simplest version seems likely to be fine.

      Compare with LineSearches.jl

      Was all this specialized effort useful? Let's compare to the general line search methods in LineSearches.jl.

      It seems that some of those methods do not allow $α₀ = 0$ so we use 1.0 instead. We use the default arguments for all the solvers, which means some of them might terminate before ninner iterations, giving them a potential speed advantage.

      a0 = 1.0 # α0
+hdh(α) = h(α), dh(α)
+h0 = h(0)
+dh0 = dh(0);
+function ls_ls(linesearch)
+    a1, fx = linesearch(h, dh, hdh, a0, h0, dh0)
+    return a1
+end;
+
+solvers = [
+    BackTracking( ; iterations = ninner),
+    HagerZhang( ; linesearchmax = ninner),
+    MoreThuente( ; maxfev = ninner),
+]
+for ls in solvers # check that they work properly
+    als = ls_ls(ls)
+    @assert isapprox(als, αstar; atol=1e-3)
+end;
      bbt = @benchmark ls_ls($(solvers[1]))
      BenchmarkTools.Trial: 10000 samples with 1 evaluation.
+ Range (min … max):  352.311 μs …  1.584 ms  ┊ GC (min … max): 0.00% … 67.08%
+ Time  (median):     368.410 μs              ┊ GC (median):    0.00%
+ Time  (mean ± σ):   374.858 μs ± 49.168 μs  ┊ GC (mean ± σ):  0.46% ±  2.83%
+
+      ▃▇▇█▇▇▅▄▁                                                 
+  ▁▂▄▇███████████▇▇▇▅▅▅▄▄▄▃▃▃▂▂▂▂▂▂▂▂▂▂▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ ▃
+  352 μs          Histogram: frequency by time          443 μs <
+
+ Memory estimate: 95.69 KiB, allocs estimate: 61.
      bhz = @benchmark ls_ls($(solvers[2]))
      BenchmarkTools.Trial: 4606 samples with 1 evaluation.
+ Range (min … max):  920.916 μs …   2.365 ms  ┊ GC (min … max): 0.00% … 0.00%
+ Time  (median):       1.029 ms               ┊ GC (median):    0.00%
+ Time  (mean ± σ):     1.081 ms ± 131.763 μs  ┊ GC (mean ± σ):  0.42% ± 2.98%
+
+    ▂▅▅▆▇▇█▆▅▃▃                      ▁▂     ▂▂▃▂                 
+  ▂▅███████████▇▆▅▄▃▃▃▂▂▂▁▂▂▁▂▁▁▁▂▅▆██████▇██████▇▆▅▄▃▂▃▂▂▂▂▁▂▂ ▄
+  921 μs           Histogram: frequency by time         1.31 ms <
+
+ Memory estimate: 316.70 KiB, allocs estimate: 67.
      bmt = @benchmark ls_ls($(solvers[3]))
      BenchmarkTools.Trial: 3158 samples with 1 evaluation.
+ Range (min … max):  1.386 ms …   4.013 ms  ┊ GC (min … max): 0.00% … 0.00%
+ Time  (median):     1.485 ms               ┊ GC (median):    0.00%
+ Time  (mean ± σ):   1.578 ms ± 190.755 μs  ┊ GC (mean ± σ):  0.44% ± 2.94%
+
+   ▂▇██▆▂                                                      
+  ▄██████▇▅▄▄▃▃▂▂▂▂▂▂▃▆▇▇█▆▆▅▄▄▃▃▃▂▂▂▂▂▂▂▂▂▂▂▂▁▂▂▂▁▂▂▂▂▂▂▁▂▁▂ ▃
+  1.39 ms         Histogram: frequency by time        2.28 ms <
+
+ Memory estimate: 475.25 KiB, allocs estimate: 147.

      On my Mac the timings are all much longer compared to line_search_mm:

      • 840 μs BackTracking
      • 2.6 ms HagerZhang
      • 3.9 ms MoreThuente

      This comparison illustrates the benefit of the "special purpose" line search.

      The fastest version seems to be BackTracking, so plot its iterates:

      alpha_bt = zeros(ninner + 1)
+alpha_bt[1] = a0
+for iter in 1:ninner
+    tmp = BackTracking( ; iterations = iter)
+    alpha_bt[iter+1] = ls_ls(tmp)
+end
+plot(0:ninner, alpha_bt, marker=:square, color=:blue,
+    xlabel="Iteration", ylabel="BackTracking α")
+plot!([0, ninner], [1,1] * αstar, color=:red)
      Example block output

      Unexpectedly, BackTracking seems to terminate at the first iteration. But even just that single iteration is slower than 7 iterations of line_search_mm.

      prompt()

      Reproducibility

      This page was generated with the following version of Julia:

      using InteractiveUtils: versioninfo
+io = IOBuffer(); versioninfo(io); split(String(take!(io)), '\n')
      12-element Vector{SubString{String}}:
+ "Julia Version 1.10.3"
+ "Commit 0b4590a5507 (2024-04-30 10:59 UTC)"
+ "Build Info:"
+ "  Official https://julialang.org/ release"
+ "Platform Info:"
+ "  OS: Linux (x86_64-linux-gnu)"
+ "  CPU: 4 × AMD EPYC 7763 64-Core Processor"
+ "  WORD_SIZE: 64"
+ "  LIBM: libopenlibm"
+ "  LLVM: libLLVM-15.0.7 (ORCJIT, znver3)"
+ "Threads: 1 default, 0 interactive, 1 GC (on 4 virtual cores)"
+ ""

      And with the following package versions

      import Pkg; Pkg.status()
      Status `~/work/MIRT.jl/MIRT.jl/docs/Project.toml`
+  [6e4b80f9] BenchmarkTools v1.5.0
+  [e30172f5] Documenter v1.4.1
+  [d3d80556] LineSearches v7.2.0
+  [98b081ad] Literate v2.18.0
+  [7035ae7a] MIRT v0.18.1 `~/work/MIRT.jl/MIRT.jl`
+  [170b2178] MIRTjim v0.24.0
+  [91a5bcdd] Plots v1.40.4
+  [b77e0a4c] InteractiveUtils
+  [9a3f8284] Random

      This page was generated using Literate.jl.

      diff --git a/v0.18.1/index.html b/v0.18.1/index.html new file mode 100644 index 00000000..1c755337 --- /dev/null +++ b/v0.18.1/index.html @@ -0,0 +1,2 @@ + +Home · MIRT.jl
      GitHub

      MIRT: The Michigan Image Reconstruction Toolbox

      MIRT.jl is a collection of Julia functions for performing image reconstruction and solving related inverse problems.

      It is very much still under construction, although there are already enough tools to solve useful problems like compressed sensing MRI reconstruction. Trying the demos is a good way to get started.

      The documentation is even more still under construction.

      More complete examples are at JuliaImageRecon; see Examples there.

      diff --git a/v0.18.1/methods/index.html b/v0.18.1/methods/index.html new file mode 100644 index 00000000..4c5aa820 --- /dev/null +++ b/v0.18.1/methods/index.html @@ -0,0 +1,24 @@ + +Methods · MIRT.jl
      GitHub

      Methods list

      Methods usage

      MIRT.MIRT — Module
      MIRT is the Michigan Image Reconstruction Toolbox
      source
      MIRT.LineSearchMM — Method
      LineSearchMM(gradf, curvf, u, v; α0 ...)
+LineSearchMM(u, v, dot_gradf, dot_curvf; α0 ...)

      Construct iterator for line-search based on majorize-minimize (MM) approach for a general family of 1D cost functions of the form $h(α) = \sum_{j=1}^J f_j(u_j + α v_j)$ where each function $f_j(t)$ has a quadratic majorizer of the form

      \[q_j(t;s) = f_j(t) + \nabla f_j(s) (t - s) + 1/2 \|t - s\|^2_{C_j(s)}\]

      where $C_j(⋅)$ is diagonal matrix of curvatures. (It suffices for each $f_j$ to have a Lipschitz smooth gradient.)

      Each function $f_j : \mathcal{X}_j ↦ \mathbb{R}$ where conceptually $\mathcal{X}_j ⊆ \mathbb{R}^{M_j}$, but we allow more general domains.

      There are two outer constructors (based on the positional arguments):

      • The simple way (not type stable) provides
        • gradf vector of $J$ functions return gradients of $f_1,…,f_J$
        • curvf vector of $J$ functions z -> curv(z) that return a scalar or a vector of curvature values for each element of $z$
      • The fancier way (type stable) provides
        • dot_gradf::AbstractVector{<:Function} = make_dot_gradf.(gradf) See make_dot_gradf.
        • dot_curvf::AbstractVector{<:Function} = make_dot_curvf.(curvf) See make_dot_curvf.

      in

      • u vector of $J$ arrays $u_1,…,u_J$ (typically vectors)
      • v vector of $J$ arrays $v_1,…,v_J$ (typically vectors)

      We require axes(u_j) == axes(v_j) for all $j=1,…,J$.

      option

      • α0::Real = 0f0 initial guess for step size
      • ninner::Int = 5 # max number of inner iterations of MM line search
      • work = LineSearchMMWork(u, v, α) pre-allocated work space for $u_j+α v_j$
      source
      MIRT.LineSearchMMWork — Type
      LineSearchMMWork{Tz <: AbstractVector{<:AbstractArray}}

      Workspace for storing $z_j = u_j + α v_j$ in MM-based line search.

      If all of those $z_j$ arrays had the same eltype, then we could save memory by allocating just the longest vector needed. But for Unitful data they could have different eltypes and sizes, which would require a lot of reinterpret and reshape to handle. So we just allocate separate work arrays for each $j$.

      source
      MIRT.Afft — Method
      A = Afft(samp::AbstractArray{Bool} ; T, dims, operator, work, ...)

      Make a LinearMapAO operator object for (under-sampled) FFT, of type T, using given sampling pattern samp. Especially for compressed sensing MRI with Cartesian sampling.

      Option:

      • T::Type = ComplexF32
      • dims = 1:D apply fft/bfft only along these dimensions
      • fft_forward::Bool = true Use false to have bfft! in forward model.
      • operator::Bool = true set to false to return a LinearMapAM
      • work::AbstractArray work space for in-place fft operations
      • remaining arguments are passed to plan_fft

      Output

      Returns a LinearMapsAA.LinearMapA[M|O] object.

      source
      MIRT.Afft — Method
      A = Afft(xdim::Dims, fdim ; T, operator, unitary, work, ...)

      Make a <:LinearMapAX operator object for the FFT of an array of size xdim, along dimensions fdim, of type T.

      In:

      • xdim::Dims{D} array size
      • fdim = 1:D apply fft/bfft only along these dimensions

      Option:

      • T::Type = ComplexF32
      • operator::Bool = true return a LinearMapAO set to false to return a LinearMapAM
      • unitary::Bool = false set to true for unitary DFT
      • work::AbstractArray work space for in-place fft operations
      • remaining arguments are passed to plan_fft

      Output

      Returns a LinearMapsAA.LinearMapA[M|O] object.

      source
      MIRT.Anufft — Method
      Anufft(ω, N ; kwargs ...)

      Make a LinearMapAO object of size length(ω) × prod(N). See nufft_init for options.

      source
      MIRT.Aodwt — Method
      A, levels, mfun = Aodwt(dims ; level::Int=3, wt=wavelet(WT.haar))

      Create orthogonal discrete wavelet transform (ODWT) LinearMapAA

      in

      • dims::Dims tuple of dimensions

      option

      • level::Int # of levels; default 3
      • wt wavelet transform type (see Wavelets package); default Haar
      • operator::Bool=true default to LinearMapAO
      • T::Type : Float32 by default; use ComplexF32 if needed

      out

      • A a LinearMapAX object
      • scales array of size dims showing the scale of each coefficient

      which is useful when imposing scale-dependent regularization

      • mfun convenience function for A*X when X is a Matrix or Array (not vector)

      2019-02-23 Jeff Fessler, University of Michigan

      source
      MIRT.Asense — Method
      Asense(samp, smaps; T)

      Construct a MRI encoding operator model for D-dimensional Cartesian sampling pattern samp and coil sensitivity maps smaps.

      The input smaps can either be a D+1 dimensional array of size (size(samp)..., ncoil), or a Vector of ncoil arrays of size size(samp).

      Input

      • samp::AbstractArray{<:Bool} D-dimensional sampling pattern.
      • smaps::Vector{<:AbstractArray{<:Number}} or AbstractArray{<:Number}

      Option

      • T::Type = ComplexF32
      • dims = 1:D apply fft/bfft only along these dimensions
      • fft_forward::Bool = true Use false to have bfft! in forward model.
      • unitary::Bool = false set to true for unitary DFT
      • remaining arguments are passed to plan_fft

      Output

      Returns a LinearMapsAA.LinearMapAO object.

      source
      MIRT._show_struct — Method
      _show_struct(io::IO, ::MIME"text/plain", st::Any)

      Informative way to show fields of a struct (composite type).

      source
      MIRT.caller_name — Method
      caller_name() or caller_name(;level=4)

      Return "filename line fun():" as a string to describe where this function was called.

      Stack levels:

      • 1: #caller_name
      • 2: caller_name()
      • 3: function that invoked caller()
      • 4: the calling function we want to return

      Hence the default level is 4, but we increment it by one in case user says @show caller_name() in which case stack[3] is a macro expansion.

      source
      MIRT.diff_adj — Method
      Z = diff_adj(dx, N::Dims{D} ; dims = 1:D)

      Adjoint of finite differences of arrays along one or more dimensions. By default performs the same operations as $vec(Z) = [(I_{N_d} \otimes \cdots \otimes D_{N_1}); \dots; (D_{N_d} \otimes \cdots \otimes I_{N_1})]' * d$ where D_N denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).

      in

      • dx vector of typical length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1
      • N::Dims desired output size

      option

      • dims dimension(s) for performing adjoint finite differences; default 1:ndims(X)

      out

      • Z N_1 × ... × N_d array by default
      source
      MIRT.diff_forw — Method
      d = diff_forw(X ; dims = 1:ndims(X))

      Finite differences along one or more dimensions of an array, e.g., for anisotropic TV regularization.

      By default performs the same operations as $d = [(I_{N_d} \otimes \cdots \otimes D_{N_1}); \dots; (D_{N_d} \otimes \cdots \otimes I_{N_1})] vec(X)$ where $D_N$ denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).

      Input dimension N must exceed 1 for each dimension specified by dims.

      in

      • X N_1 × ... × N_d array (typically an N-D image).

      option

      • dims dimension(s) for performing finite differences; default 1:ndims(X)

      must have unique elements and be a nonempty subset of 1:ndims(X)

      out

      • d vector of default length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1
      source
      MIRT.diff_map — Method
      T = diff_map(N::Dims{D} ; dims = 1:D)

      in

      • N::Dims image size

      out

      • T LinearMapAA object for computing finite differences via T*x
      source
      MIRT.diffl! — Method
      diffl!(g::AbstractArray, x::AbstractArray, dims::AbstractVector{Int} ; ...)

      When x is a N-dimensional array, the ith slice of the g array (along its last dimension) is the diffl! of x along dims[i]. This is useful for total variation (TV) and other regularizers that need finite differences along multiple dimensions.

      source
      MIRT.diffl! — Method
      diffl!(g::AbstractArray, x::AbstractArray, dim::Int ; ...)

      Apply left finite difference operator to input array x, storing the result "in-place" in pre-allocated output array g. (The letter g is mnemonic for "gradient".)

      Arrays g and x must have the same size, and cannot alias. By default, the "first" elements of g are zero for dimension dim. The default is dim=1.

      Option:

      • add::Bool = false use x[i] + x[i-1] instead of x[i] - x[i-1] (useful for certain diagonal majorizers).
      • edge::Symbol = :zero set the first elements of dimension dim to 0
        • Choose edge=:circ to use circulant (aka periodic) boundary conditions.
        • Choose edge=:none to leave the first elements untouched.

      Example

      julia> x = [2, 6, 7]; g = similar(x); diffl!(g, x)
+3-element Vector{Int64}:
+ 0
+ 4
+ 1
      source
      MIRT.diffl — Method
      g = diffl(x::AbstractArray, dims::AbstractVector{Int} ; ...)

      Allocating version of diffl! for dims

      source
      MIRT.diffl — Method
      g = diffl(x::AbstractArray, dim::Int ; ...)

      Allocating version of diffl! along dim

      Example

      julia> x = [1,2] .+ [10 30 70]; g = diffl(x, 2)
+2×3 Matrix{Int64}:
+ 0  20  40
+ 0  20  40
      source
      MIRT.diffl — Method
      g = diffl(x::AbstractArray ; ...)

      Allocating version of diffl! along dim=1

      source
      MIRT.diffl_adj! — Method
      diffl_adj!(z::AbstractArray, g::AbstractArray, dims::AbstractVector{Int} ; ...)

      Adjoint of diffl! for multiple dimensions dims. Here g must have one more dimension than z.

      source
      MIRT.diffl_adj! — Method
      diffl_adj!(z, g, dim::Int ; ...)

      Adjoint of left finite difference diffl!, in-place. Arrays z and g must be same size. See diffl_adj for details.

      source
      MIRT.diffl_adj — Method
      z = diffl_adj(g::AbstractArray, dim::Int ; ...)

      Allocating version of diffl_adj! along dim.

      Example

      julia> g = ones(Int,2,3); z = diffl_adj(g, 2)
+2×3 Matrix{Int64}:
+ -1  0  1
+ -1  0  1
      source
      MIRT.diffl_adj — Method
      z = diffl_adj(g::AbstractArray ; ...)

      Allocating version of diffl_adj! along dim=1.

      Example

      julia> g = [0, 2, 5]; z = diffl_adj(g)
+3-element Vector{Int64}:
+ -2
+ -3
+  5
      source
      MIRT.diffl_adj — Method
      z = diffl_adj(g::AbstractArray, dims::AbstractVector{Int} ; ...)

      Allocating version of diffl_adj! for dims.

      source
      MIRT.diffl_map — Method
      T = diffl_map(N::Dims{D}, dims::AbstractVector{Int} ; kwargs...)
+T = diffl_map(N::Dims{D}, dim::Int ; kwargs...)

      in

      • N::Dims image size

      options: see diffl!

      • T::Type for LinearMapAA, default Float32
      • operator::Bool = true use false for LinearMapAM

      out

      • T LinearMapAA object for computing finite differences via T*x

      using diffl! and diffl_adj!

      source
      MIRT.downsample1 — Method
      y = downsample1(x, down ; warn=true)

      Downsample 1D vector by factor down.

      in

      • x [n1]
      • down::Int downsampling factor

      option

      • warn::Bool warn if noninteger multiple; default isinteractive()

      out

      • y [n1/down]
      source
      MIRT.downsample2 — Method
      y = downsample2(x, down ; warn=true, T)

      Downsample by averaging by integer factors.

      in

      • x [nx ny]
      • down can be a scalar (same factor for both dimensions) or a NTuple{2,Int}

      option

      • warn::Bool warn if noninteger multiple; default isinteractive()
      • T::Type specify output eltype; default eltype(x[1] / down[1])

      out

      • y [nx/down ny/down]
      source
      MIRT.downsample3 — Method
      y = downsample3(x, down ; warn=true, T)

      Downsample by averaging by integer factors.

      in

      • x (nx,ny,nz)
      • down can be a scalar (same factor for all dimensions) or a NTuple{3,Int}

      option

      • warn::Bool warn if noninteger multiple; default true
      • T::Type specify output eltype; default eltype(x[1] / down[1])

      out

      • y (nx/down,ny/down,nz/down)
      source
      MIRT.downsample_dim1 — Method
      y = downsample_dim1(x, down ; warn::Bool)

      Down-sample x by factor down along first dimension by averaging.

      in

      • x [n1 (Nd)]
      • down::Int downsampling factor

      option

      • warn::Bool warn if non-integer multiple; default isinteractive()

      out

      • y [n1÷down (Nd)]
      source
      MIRT.dtft — Method
      X = dtft(w, x ; n_shift=?)

      multi-dimensional DTFT (DSFT)

      $X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m,:] (n - n_{shift})), m=1,…,M$ where here n is a CartesianIndex

      in

      • w::AbstractMatrix{<:Real} (M,D) frequency locations ("units" radians/sample)
      • x::AbstractArray{<:Number} [(Nd)] D-dimensional signal

      option

      • n_shift::AbstractVector{<:Real} often is N/2; default zeros(D)

      out

      • X::AbstractVector{ComplexF64} (M) DTFT
      source
      MIRT.dtft — Method
      X = dtft(w, x ; n_shift=?)

      1D DTFT

      $X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m] (n - n_{shift})), m=1,…,M$

      in

      • w::AbstractVector{<:Real} (M) frequency locations ("units" radians/sample)
      • x::AbstractVector{<:Number} (N) 1D signal

      option

      • n_shift::Real often is N/2; default 0

      out

      • X::AbstractVector{ComplexF64} [M] DTFT
      source
      MIRT.dtft_adj — Method
      x = dtft_adj(w, X, N ; n_shift=?)

      adjoint for multi-dimensional DTFT (DSFT)

      $x[n] = \sum_{m=1}^M X[m] \exp(i w[m,:] (n - n_{shift})), n=0,…,N-1$ where here n is a CartesianIndex

      in

      • X::AbstractVector{ComplexF64} (M) DTFT
      • w::AbstractMatrix{<:Real} (M,D) frequency locations ("units" radians/sample)
      • N::Dims (D) dimensions of signal x

      option

      • n_shift::AbstractVector{<:Real} often is N/2; default zeros(D)
      • T::Type default (eltype(w) == Float64) ? ComplexF64 : ComplexF32

      out

      • x::AbstractArray{<:Number} [(N)] D-dimensional signal
      source
      MIRT.dtft_adj — Method
      x = dtft_adj(w, X, N ; n_shift=?)

      adjoint for 1D DTFT

      $x[n] = \sum_{m=1}^M X[m] \exp(i w[m] (n - n_{shift})), n=0,…,N-1$

      This is the adjoint (transpose) of dtft, not an inverse DTFT.

      in

      • w::AbstractVector{<:Real} (M) frequency locations ("units" radians/sample)
      • X::AbstractVector{ComplexF64} (M) spectrum values
      • N::Int size of signal x

      option

      • n_shift::Real often is N/2; default 0
      • T::Type output data type; default ComplexF64

      out

      • x::AbstractVector{<:Number} (N) signal
      source
      MIRT.dtft_init — Method
      d = dtft_init(w, N ; n_shift=?)

      for multi-dimensional DTFT (DSFT)

      in

      • w::AbstractMatrix{<:Real} (M,D) frequency locations ("units" radians/sample)
      • N::Dims [D] dimensions of signal x

      option

      • n_shift::AbstractVector{<:Real} often is N/2; default zeros(D)
      • T::Type default ComplexF64 for testing NUFFT accuracy

      out

      • d::NamedTuple with fields dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO
      source
      MIRT.dtft_init — Method
      d = dtft_init(w, N ; n_shift=?)

      For 1D DTFT

      in

      • w::AbstractVector{<:Real} (M) frequency locations ("units" radians/sample)
      • N::Int size of signal x

      option

      • n_shift::Real often is N/2; default 0
      • T::Type default ComplexF64 for testing NUFFT accuracy

      out

      • d::NamedTuple with fields dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO
      source
      MIRT.embed! — Method
      embed!(array, v, mask ; filler=0)

      embed vector v of length sum(mask) into elements of array where mask is true, setting the remaining elements to filler (default 0).

      source
      MIRT.embed — Method
      array = embed(matrix::AbstractMatrix{<:Number}, mask::AbstractArray{Bool})

      Embed each column of matrix into mask then cat along next dimension In:

      • matrix [sum(mask) L]
      • mask [(N)]

      Out:

      • array [(N) L]
      source
      MIRT.embed — Method
      array = embed(v, mask ; filler=0)

      embed vector v of length sum(mask) into elements of an array where mask is true; see embed!.

      source
      MIRT.eql_root — Method
      x = eql_root(a,b,c)

      Numerically stable method for computing the positive root of the quadratic polynomial -ax^2 - 2bx + c, a >= 0. Assumes solvable equations; will throw otherwise.

      in

      • a The negative of the x^2 term. Must be positive.
      • b Half the negative of the x term.
      • c The constant term.

      out

      • x The positive root that satisfies 0 = -ax^2 - 2bx + c.
      source
      MIRT.exp_mult — Method
      D = exp_mult(A, u, v ; warnboth)

      Memory efficient and fast implementation of D = A' * exp(-u * v^T) that is useful for B0-field-corrected MRI image reconstruction.

      in

      • A [N L] matrix
      • u [N] vector
      • v [M] vector
      • warnboth warn if both u and v are complex; default: true

      out

      • D [L M] complex vector: D = A' * exp(-u * v^T)

      D_lm = sum_n A_nl^* exp(-u_n v_m)

      source
      MIRT.exp_xform — Method
      exp_xform(x, u, v ; mode::Symbol = :matrix)

      in

      • x [N L] possibly complex vector(s)
      • u [D N] possibly complex vectors
      • v [D M] possibly complex vectors
      • mode::Symbol :matrix (default) | :element | :row | :column

      out

      • y [M L] typically complex vector

      y[m,l] = sum_n x[n,l] exp(-sum(u[:,n] .* v[:,m]))

      Iterates through subsets of the ML matrix designated by :mode (i.e. row, column, element, or just computing the entire matrix) This is the 'slow' 'exact' transform model for MRI.

      Output type will depend on input types.

      source
      MIRT.genkspace — Method
      genkspace

      Generate the proper length of k-space trajectory.

      It linearly interpolates the output of genspiral to the correct length() & takes care of the rotations for the interleaves.

      • ld is the length of the data
      • nint is the number of interleaves

      Brad Sutton; University of Michigan

      source
      MIRT.genspi — Method
      Gx, Gy, kx, ky, sx, sy, gts = genspi(...)

      This is translation of C code from scanner: exactly what is played out to gradients at 4us.

      Multi-shot spiral design uses Duyn's approximate slewrate limited design augmented with archimedean gmax limit

      in [args]

      • D = FOV; cm

      • N = matrix size()

      • Tmax = longest acquisition allowed; s

      • dts = output sample spacing; s

      • gtype = trajectory type()

      option [CVs]

      • nl = number of interleaves
      • gamp = design grad max; G/cm
      • gslew = design slew rate; mT/m/ms
      • nramp = number of rampdown points; default 0

      out

      • Gx; Gy

      time is in sec()

      • rev 0 12/26/98 original
      • rev 1 4/15/99 little better calc of ts

      Borrowed from Doug Noll; Univ. of Michigan. Modified to take more input cv's.

      source
      MIRT.getindex! — Method
      getindex!(y::AbstractVector, x::AbstractArray{T,D}, mask::AbstractArray{Bool,D})

      Equivalent to the in-place y .= x[mask] but is non-allocating.

      For non-Boolean indexing, just use @views y .= A[index], per https://discourse.julialang.org/t/efficient-non-allocating-in-place-getindex-for-bitarray/42268

      source
      MIRT.interp1 — Method
      yi = interp1(x, y, xi ; how=Gridded(Linear()), extrap=0)

      1D interpolation of y = f(x) at points xi

      In:

      • x::AbstractVector{<:Real}
      • y::AbstractVector{<:Number}

      Option:

      • how::Interpolations.InterpolationType default Gridded(Linear())
      • extrap::Any how to extrapolate, e.g., Flat(); default 0

      other options from Interpolations.jl are Line() Periodic() Reflect() Throw()

      Output is same size as input xi

      source
      MIRT.ir_dump — Method
      ir_dump(x::Any ; io::IO = stdout)
+ir_dump(io::IO, x::Any)

      Show all the fields of a structure or NamedTuple more nicely than dump() does

      source
      MIRT.ir_mri_coil_compress — Method
      (odata, σ, Vr) = ir_mri_coil_compress(idata ; ncoil)

      MRI coil compression via PCA. Given multiple MRI surface coil images (idata), use SVD/PCA to find a smaller number of virtual coil images (odata).

      In:

      • idata [(N) n_in]: noisy complex images (2D or 3D) for each coil

      Option:

      • ncoil Desired # of virtual coils (default: 1)

      Out:

      • odata [(N) ncoil]: virtual coil images
      • σ [n_in]: singular values.
      • Vr [n_in, ncoil]: compression matrix for reducing other data.

      todo: currently ignores noise correlations

      source
      MIRT.ir_mri_kspace_ga_radial — Method
      kspace = ir_mri_kspace_ga_radial(; Nro=?, Nspoke=?, ...)

      Generate k-space sampling pattern for "golden angle" radial sampling.

      option

      • Nro:Int number of samples in each readout/spoke, default 256
      • Nspoke::Int number of spokes, default 1
      • start::Real first angle in series [radians], default π/2
      • angle::Real angular spacing [radians], default GA
      • delta_ro::Real readout spacing, default 1/Nro
      • shift::Real shift due to gradient delays, default 0
        • radial sample locations are ir * delta_ro
        • where ir = [-(Nro/2 - 1):1:Nro/2] + shift

      out

      • kspace [Nro Nspoke 2] (Float32)

      kx and ky k-space locations for Nspoke*Nro samples in interval (-0.5 0.5] for default shift, delta_ro so default units are "cycles / sample"

      source
      MIRT.ir_mri_sensemap_sim — Method
      (smap,info) = ir_mri_sensemap_sim( :all ; kwargs)

      Like ir_mri_sensemap_sim but also returns info with data for all coils, mainly for testing and plotting.

      source
      MIRT.ir_mri_sensemap_sim — Method
      (smap,info) = ir_mri_sensemap_sim( ir_ic_pair ; kwargs)

      Like ir_mri_sensemap_sim but also returns info with data for specific coils where ir_ic_pair::Vector{Tuple{Int,Int}}. (Usually used internally only.)

      • info::NamedTuple geometry information for plots
      source
      MIRT.ir_mri_sensemap_sim — Method
      smap = ir_mri_sensemap_sim(...)

      Simulate 2D or 3D sensitivity maps for sensitivity-encoded MRI based on grivich:00:tmf.

      This code makes maps for multiple coils, but does not model coupling between coils, so most likely it is an approximation at best.

      option

      • dims::Dims image size; default (64, 64)
      • dx::Real pixel/voxel dimension; default: 3
      • dy::Real pixel/voxel dimension; default: dx
      • dz::Real ""
      • ncoil::Int # of coils total; default 4
      • nring::Int # of rings of coils; default 1
      • rcoil::Real coil radius; default dx * nx / 2 * 0.50
      • dz_coil ring spacing in z; default nz*dz/nring
        • (3D geometry is a cylinder)
      • coil_distance::Real distance of coil center from isocenter
        • for central ring of coils as a multiple of FOVx,
        • where FOVx=nx*dx; default 1.2
      • orbit::Real default 360 [degrees]
      • orbit_start::AbstractVector{<:Real} = fill(0, nring) [degrees]
      • scale::Symbol
        • :none (default)
        • ssos_center make SSoS of center = 1

      out

      • smap [dims ncoil] simulated sensitivity maps (complex!)

      All length parameters must have same units (e.g., mm or cm)

      source
      MIRT.ir_mri_smap1 — Method
      ir_mri_smap1()

      Based on grivich:00:tmf for a circular coil in "x-y plane" of radius "a"

      Note that coil x-y plane is not same as object x-y plane!

      Returns (i,j,k) components of $B$ vector for each (x,y,z) location.

      source
      MIRT.jinc — Method
      jinc(x)

      Return jinc(x) = J1(pi*x)/(2x), where J1 is a Bessel function of the first kind.

      Units of x are typically cycles/m.

      Return type is promote_type(typeof(x), Float32).

      source
      MIRT.line_search_mm — Method
      α = line_search_mm(args...; opt, fun, kwargs...)

      Line-search based on majorize-minimize (MM) approach. This is a wrapper around the iterator LineSearchMM. See its constructors for args and other kwargs.

      option

      • fun(state) User-defined function to be evaluated with the state initially and then after each iteration.
      • out::Union{Nothing,Vector{Any}} = nothing optional place to store result of fun for iterates 0,…,ninner: (All missing by default.) This is aVector{Any}of lengthninner+1`.

      output

      • α final iterate

      This function mutates the optional arguments out and work.

      source
      MIRT.make_dot_curvf — Method
      make_dot_curvf(curv::Function, [x, Tf::Type; w = similar(x)])

      Make a function with arguments (v, x) that computes the dot product between abs2.(v) and curv(x) where curv(x) is a curvature function associated with a quadratic majorizer for some real-valued cost function f(x), evaluated at array x, typically for use in a line-search method.

      • For a single-argument gradient function curv(x), this returns the version equivalent to (v, x) -> dot(abs2.(v), curv(x)). This version will be allocating, unless curv has its own internal workspace due to a closure. This version expects only the argument curv.

      • For a two-argument mutating gradient function curv!(w, x), this returns a function equivalent to (v, x) -> dot(abs2.(v), curv!(w, x)) using the keyword argument w as the work array.

      • If curv is simply a real number (a Lipschitz constant), possibly with units, then this returns the function (v, x) -> curv * sum(abs2, v).

      If f(x) maps an Array x of elements with units Ux into real numbers with units Uf, then its curvature has units Uf/Ux^2. Those units are relevant to defining the work array w.

      in

      • curv::Function see above
      • x an array whose size and eltype is used to allocate w

      option

      • Tf::Type = typeof(one(eltype(x))) Specify eltype of function f(x), defaulting to unitless.
      • w = similar(x, typeof(oneunit(Tf) / oneunit(eltype(x))^2)) work space for gradient calculation, with appropriate units (if needed).

      out

      • (v, x) -> dot(abs2.(v), curv([w,] x)) or equivalent.
      source
      MIRT.make_dot_gradf — Method
      make_dot_gradf(grad::Function, [x, Tf::Type; w = similar(x)])

      Make a function with arguments (v, x) that computes the dot product between an array v and the gradient grad(x) of some real-valued cost function f(x), evaluated at array x, typically for use in a line-search method.

      • For a single-argument gradient function grad(x), this returns the version (v, x) -> dot(v, grad(x)). This version will be allocating, unless grad has its own internal workspace due to a closure. This version expects only the argument grad.

      • For a two-argument mutating gradient function grad!(w, x), this returns a function (v, x) -> dot(v, grad!(w, x)) using the keyword argument w as the work array.

      If f(x) maps an Array x of elements with units Ux into real numbers with units Uf, then the gradient ∇f has units Uf/Ux. Those units are relevant to defining the work array w.

      in

      • grad::Function see above
      • x an array whose size and eltype is used to allocate w
      • Tf::Type = typeof(one(eltype(x))) Specify eltype of function f(x), defaulting to unitless.

      option

      • w = similar(x, typeof(oneunit(Tf) / oneunit(eltype(x)))) work space for gradient calculation, with appropriate units (if needed).

      out

      • (v, x) -> dot(v, grad([w,] x)) or equivalent.

      Example. Consider the cost function f(x) = sum(sin.(x)) that has gradient g(x) = cos.(x). The simple way here is make_dot_gradf(g), which will return the function (v, x) = dot(v, g(x)) === dot(v, cos.(x)). That will work fine, but the cos.(x) step will be allocating. A better way (for repeated use) is

      function g!(work, x)
+   @. work = cos(x) # mutating
+   return work
+end

      Then make_dot_gradf(g!, x) will return a function (v,x) that does not allocate (except when first generated via a closure). For this particular example, an even better approach is to directly define dot_gradf(v,x) = sum(vx -> vx[1]*cos(vx[2]), zip(v,x)), but make_dot_gradf is here for more general cases.

      source
      MIRT.map_many — Method
      y = map_many(fun::Function, x::AbstractArray{<:Any}, idim::Dims)

      Apply a function fun to leading slices of input x; cousin of mapslices

      in

      • fun::Function maps input of size idim to output of some size odim
      • x [idim ldim]

      out

      • y [odim ldim]

      Example: if fun maps array of size (1,2) to array of size (3,4,5) and if input x has size (1,2,7,8) then output y will have size (3,4,5,7,8) where y[:,:,:,i,j] = fun(x[:,:,i,j])

      source
      MIRT.mask_or — Method
      mask_or(mask)

      compress 3D mask to 2D by logical or along z direction

      source
      MIRT.max_percent_diff — Method
      max_percent_diff(s1, s2, [options])

      Compute the "maximum percent difference" between two signals: s1, s2.

      Default is to normalize by maximum(abs, s1).

      options

      • maxboth::Bool = false use max of both arguments to normalize
      • normalize::Bool = false normalize each before comparing
      source
      MIRT.mri_kspace_spiral — Method
      kspace, omega, gradxy = mri_kspace_spiral( [options] )

      Make k-space spiral trajectory based on GE 3T scanner constraints

      Option:

      • N dimension of reconstructed image
      • Nt # of time points
      • fov field of view in cm
      • dt time sampling interval out; default 5e-6 sec
      • gamp::Real design gradient amplitude max, G/cm; default 2.2
      • gslew::Int design slew rate, mT/m/ms; default 180

      Out:

      • kspace [Nt,2] kspace trajectory [kx ky] in cycles/cm, NO: cycles/FOV
      • omega [Nt,2] "" in radians
      • gradxy [Nt 2] gradient waveforms in (units?)
      source
      MIRT.mri_trajectory — Method
      kspace, omega, wi = mri_trajectory( ; ktype, N, fov, arg_wi, kwargs...)

      Generate kspace trajectory samples and density compensation functions.

      option

      • ktype::Symbol k-space trajectory type; default :radial
      • N::Dims target image size; default (32,30)
      • fov field of view in x and y (and z); default (250,250) mm
      • arg_wi options to pass to ir_mri_density_comp - not yet done
      • kwargs options for the specific trajectory

      out

      • kspace [Nk 2|3] kspace samples in units 1/fov
      • omega [Nk 2|3] trajectory samples over [-π,π)
      • wi [Nk 1] (optional) density compensation factors

      trajectory types:

      • :cartesian
      • :radial
      • :cart_y_2
      • :random
      • :half8
      • :epi_sin
      • :spiral0 :spiral1 :spiral3
      • :rosette3
      • :epi_under
      • :gads (emulate golden-angle data sharing per winkelmann:07:aor)
      source
      MIRT.mri_trajectory_gads — Method
      omega, wi = mri_trajectory_gads(N, fov ; ...)

      Emulate 2D golden angle radial sampling with data sharing

      option

      • Nro # of samples in each readout/spoke
      • shift shift along read-out due to gradient delays (stress)
      • kmax_frac fractions of maximum krad (0.5) for rings (annuli)
      • under under-sampling factor for each annulus
      source
      MIRT.mri_trajectory_radial — Method
      mri_trajectory_radial()

      option

      • na_nr default ensures proper sampling at edge of k-space
      • na angular spokes; default: na_nr * nr
      • nr radial samples per spoke
      • ir default: 0:nr

      todo: generalize to 3D using barger:02:trc

      source
      MIRT.mri_trajectory_rosette3 — Method
      mri_trajectory_rosette3(N, fov ; ...)

      3d rosette, with default parameters from bucholz:08:miw

      option

      • omax maximum omega
      • nt time samples (65.536 ms for 4 usec dt)
      • dt time sample spacing (4 usec)
      • ti time samples
      source
      MIRT.ncg — Method
      (x,out) = ncg(B, gradf, curvf, x0 ; ...)

      Nonlinear preconditioned conjugate gradient algorithm to minimize a general "inverse problem" cost function of the form $\Psi(x) = \sum_{j=1}^J f_j(B_j x)$ where each function $f_j(v)$ has a quadratic majorizer of the form

      \[q_j(v;u) = f_j(u) + \nabla f_j(u) (v - u) + 1/2 \|v - u\|^2_{C_j(u)}\]

      where $C_j(u)$ is diagonal matrix of curvatures. (It suffices for each $f_j$ to have a Lipschitz smooth gradient.)

      This CG method uses a majorize-minimize (MM) line search.

      in

      • B vector of $J$ blocks $B_1,…,B_J$
      • gradf vector of $J$ functions return gradients of $f_1,…,f_J$
      • curvf vector of $J$ functions z -> curv(z) that return a scalar or a vector of curvature values for each element of $z$
      • x0 initial guess; need length(x) == size(B[j],2) for $j=1,…,J$

      Usually x0 is a Vector but it can be an Array if each B_j is a linear operator (e.g., LinearMapAO) of suitable "dimensions".

      option

      • niter # number of outer iterations; default 50
      • ninner # number of inner iterations of MM line search; default 5
      • P # preconditioner; default I
      • betahow "beta" method for the search direction; default :dai_yuan
      • fun User-defined function to be evaluated with two arguments (x,iter).
        • It is evaluated at (x0,0) and then after each iteration.

      output

      • x final iterate
      • out [niter+1] (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))
        • (all 0 by default). This is an array of length niter+1
      source
      MIRT.ncg — Method
      (x,out) = ncg(grad, curv, x0, ...)

      Special case of ncg (nonlinear CG) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad.

      source
      MIRT.nufft_errors — Method
      w, errs = nufft_errors( ; M=401, w=?, N=513, n_shift=0, ...)

      Compute NUFFT approximation errors (for signal of length N of unit norm), for given digital frequency values w, i.e., Ω. Default w is range(0, 2π/N, M).

      source
      MIRT.nufft_init — Method
      p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=0)

      Setup 1D NUFFT, for computing fast $O(N \log N)$ approximation to

      $X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m] (n - n_{shift})), m=1,…,M$

      in

      • w::AbstractArray{<:Real} [M] frequency locations (aka Ω, units radians/sample)
        • eltype(w) determines the plan_nfft type; so to save memory use Float32!
        • size(w) determines odim for A if operator=true
      • N::Int signal length

      option

      • nfft_m::Int see NFFT.jl documentation; default 4
      • nfft_sigma::Real "", default 2.0
      • n_shift::Real often is N/2; default 0
      • pi_error::Bool throw error if $|w| > π$, default true
        • Set to false only if you are very sure of what you are doing!
      • do_many::Bool support extended inputs via map_many? default true
      • operator::Bool=true set to false to make A an LinearMapAM

      out

      • p NamedTuple

      (nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A::LinearMapAO)

      The default settings are such that for a 1D signal of length N=512, the worst-case error is below 1e-5 which is probably adequate for typical medical imaging applications. To verify this statement, run nufft_plot1() and see plot.

      source
      MIRT.nufft_init — Method
      p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=?)

      Setup multi-dimensional NUFFT, for computing fast $O(N \log N)$ approximation to

      $X[m] = \sum_{n=0}^{N-1} x[n] \exp(-i w[m,:] (n - n_{shift})), m=1,…,M$

      in

      • w::AbstractArray{<:Real} [M,D] frequency locations (aka Ω, units radians/sample)
        • eltype(w) determines the plan_nfft type; so to save memory use Float32!
        • size(w)[1:(end-1)] determines odim if operator=true
      • N::Dims{D} signal dimensions

      option

      • nfft_m::Int see NFFT.jl documentation; default 4
      • nfft_sigma::Real "", default 2.0
      • n_shift::AbstractVector{<:Real} (D) often is N/2; default zeros(D)
      • pi_error::Bool throw error if $|w| > π$, default true
        • Set to false only if you are very sure of what you are doing!
      • do_many::Bool support extended inputs via map_many? default true
      • operator::Bool=true set to false to make A a LinearMapAM

      The default do_many option is designed for parallel MRI where the k-space sampling pattern applies to every coil. It may also be useful for dynamic MRI with repeated sampling patterns. The coil and/or time dimensions must come after the spatial dimensions.

      out

      • p NamedTuple with fields nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A=LinearMapAO (Using operator=true allows the LinearMapAO to support do_many.)
      source
      MIRT.nufft_typer — Method
      nufft_typer(T::Type, x::AbstractArray{<:Real} ; warn::Bool=true)

      type conversion wrapper for nfft()

      source
      MIRT.ogm_ls — Method
      (x,out) = ogm_ls(B, gradf, curvf, x0; niter=?, ninner=?, fun=?)

      OGM with a line search Drori&Taylor to minimize a general "inverse problem" cost function of the form $\Psi(x) = \sum_{j=1}^J f_j(B_j x)$ where each function $f_j(v)$ has a quadratic majorizer of the form

      \[q_j(v;u) = f_j(u) + \nabla f_j(u) (v - u) + 1/2 \|v - u\|^2_{C_j(u)}\]

      where $C_j(u)$ is diagonal matrix of curvatures. (It suffices for each $f_j$ to have a Lipschitz smooth gradient.)

      This OGM method uses a majorize-minimize (MM) line search.

      in

      • B vector of $J$ blocks $B_1,…,B_J$
      • gradf vector of $J$ functions return gradients of $f_1,…,f_J$
      • curvf vector of $J$ functions z -> curv(z) that return a scalar or a vector of curvature values for each element of $z$
      • x0 initial guess; need length(x) == size(B[j],2) for $j=1,…,J$

      option

      • niter # number of outer iterations; default 50
      • ninner # number of inner iterations of MM line search; default 5
      • fun User-defined function to be evaluated with two arguments (x,iter).
      • It is evaluated at (x0,0) and then after each iteration.

      output

      • x final iterate
      • out (niter+1) (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))
        • (all 0 by default). This is a vector of length niter+1.
      source
      MIRT.ogm_ls — Method
      (x,out) = ogm_ls(grad, curv, x0, ...)

      Special case of ogm_ls (OGM with line search) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad.

      source
      MIRT.pogm_restart — Method
      x, out = pogm_restart(x0, Fcost, f_grad, f_L ;
+f_mu=0, mom=:pogm, restart=:gr, restart_cutoff=0.,
+bsig=1, niter=10, g_prox=(z,c)->z, fun=...)

      Iterative proximal algorithms (PGM=ISTA, FPGM=FISTA, POGM) with restart.

      in

      • x0 initial guess
      • Fcost function for computing the cost function value $F(x)$
        • (needed only if restart === :fr)
      • f_grad function for computing the gradient of $f(x)$
      • f_L Lipschitz constant of the gradient of $f(x)$

      option

      • f_mu strong convexity parameter of $f(x)$; default 0.
        • if f_mu > 0, $(\alpha, \beta_k, \gamma_k)$ is chosen by Table 1 in [KF18]
      • g_prox function g_prox(z,c) for the proximal operator for $g(x)$
        • g_prox(z,c) computes $argmin_x 1/2 \|z-x\|^2 + c \, g(x)$
      • mom momentum option
        • :pogm POGM (fastest); default!
        • :fpgm (FISTA), $\gamma_k = 0$
        • :pgm PGM (ISTA), $\beta_k = \gamma_k = 0$
      • restart restart option
        • :gr gradient restart; default!
        • :fr function restart
        • :none no restart
      • restart_cutoff for :gr restart if cos(angle) < this; default 0.
      • bsig gradient "gamma" decrease option (value within [0 1]); default 1
        • see $\bar{\sigma}$ in [KF18]
      • niter number of iterations; default 10
      • fun function(iter, xk, yk, is_restart) user-defined function evaluated each iter with secondary xk, primary yk, and boolean is_restart indicating whether this iteration was a restart

      out

      • x final iterate
        • for PGM (ISTA): $x_N = y_N$
        • for FPGM (FISTA): primary iterate $y_N$
        • for POGM: secondary iterate $x_N$, see [KF18]
      • out [fun(0, x0, x0, false), fun(1, x1, y1, is_restart), ...] array of length [niter+1]

      Optimization Problem: Nonsmooth Composite Convex Minimization

      • $argmin_x F(x), F(x) := f(x) + g(x))$
        • $f(x)$ smooth convex function
        • $g(x)$ convex function, possibly nonsmooth and "proximal-friendly" [CP11]

      Optimization Algorithms:

      Accelerated First-order Algorithms when $g(x) = 0$ [KF18] iterate as below for given coefficients $(\alpha, \beta_k, \gamma_k)$

      • For k = 0,1,...
        • $y_{k+1} = x_k - \alpha f'(x_k)$ : gradient update
        • $x_{k+1} = y_{k+1} + \beta_k (y_{k+1} - y_k) + \gamma_k (y_{k+1} - x_k)$ : momentum update

      Proximal versions of the above for $g(x) \neq 0$ are in the below references, and use the proximal operator $prox_g(z) = argmin_x {1/2\|z-x\|^2 + g(x)}$.

      • Proximal Gradient method (PGM or ISTA) - $\beta_k = \gamma_k = 0$. [BT09]
      • Fast Proximal Gradient Method (FPGM or FISTA) - $\gamma_k = 0$. [BT09]
      • Proximal Optimized Gradient Method (POGM) - [THG15]
      • FPGM(FISTA) with Restart - [OC15]
      • POGM with Restart - [KF18]

      references

      • [CP11] P. L. Combettes, J. C. Pesquet,

      "Proximal splitting methods in signal processing," Fixed-Point Algorithms for Inverse Problems in Science and Engineering, Springer, Optimization and Its Applications, 2011.

      • [KF18] D. Kim, J.A. Fessler,

      "Adaptive restart of the optimized gradient method for convex optimization," 2018 Arxiv:1703.04641, [http://doi.org/10.1007/s10957-018-1287-4]

      • [BT09] A. Beck, M. Teboulle:

      "A fast iterative shrinkage-thresholding algorithm for linear inverse problems," SIAM J. Imaging Sci., 2009.

      • [THG15] A.B. Taylor, J.M. Hendrickx, F. Glineur,

      "Exact worst-case performance of first-order algorithms for composite convex optimization," Arxiv:1512.07516, 2015, SIAM J. Opt. 2017 [http://doi.org/10.1137/16m108104x]

      Copyright 2017-3-31, Donghwan Kim and Jeff Fessler, University of Michigan 2018-08-13 Julia 0.7.0 2019-02-24 interface redesign

      source
      MIRT.poweriter — Method
      v1,σ1 = poweriter(A; niter=?, ...)

      Determine first right singular vector v1 and first singular value σ1 of A by applying power iteration to A'A

      in

      • A M × N matrix

      option

      • niter default 200
      • x0 initial guess of v1
      • tol stopping tolerance for s1, default 1e-6
      • chat::Bool verbose? default false

      out

      • v1 [N] principal right singular vector
      • σ1 spectral norm of A
      source
      MIRT.rect — Method
      rect(x::Real)

      Unit width rect function. Potential problem? Bring up with fess.

      source
      MIRT.reverser — Method
      y = reverser(x, dims)

      reverse array along specified dimensions (or all if unspecified)

      source
      MIRT.rmsd100 — Method
      rmsd = rmsd100(x, y ; mask)

      Compute 100 * RMSD (root mean squared difference) between x and y within domain mask.

      in

      • x : array
      • y : another array of same size

      option

      • mask::Array{Bool} : domain over which to compute the RMSE; default trues(size(x))

      out

      • rmsd : rmsd of x vs y within mask in %
      source
      MIRT.snr2sigma — Method
      snr2sigma(db, yb)

      Convert SNR in dB to noise σ for complex gaussian noise. No sqrt(2) factors is needed here because randn(Complex{Float}) already accounts for that. (See randn documentation.)

      source
      MIRT.@shows — Macro
      @shows expr

      Show the type and size of an expression expr (typically a variable).

      More concise output than @show and typically this is all that is needed when debugging code.

      source
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You can view the corresponding notebook in nbviewer here: 2-nufft.ipynb, or open it in binder here: 2-nufft.ipynb.","category":"page"},{"location":"generated/examples/2-nufft/#Setup","page":"NUFFT","title":"Setup","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Packages needed here.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"using Plots; default(markerstrokecolor = :auto, label=\"\")\nusing MIRTjim: prompt\nusing MIRT: nufft_init, nufft_errors, dtft\nusing InteractiveUtils: versioninfo","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"The following line is helpful when running this file as a script; this way it will prompt user to hit a key after each figure is displayed.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"isinteractive() && prompt(:prompt);\nnothing #hide","category":"page"},{"location":"generated/examples/2-nufft/#1D-example","page":"NUFFT","title":"1D example","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This code illustrates how to call the NUFFT.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Ω = range(-1,1,301) * π # digital frequencies (radians/sample)\nN = 16 # # of samples\n(nufft, nufft_adjoint, Anufft) = nufft_init(Ω, N)\nx = randn(ComplexF32, N) # random 1D signal\ny1 = nufft(x) # one way to compute NUFFT\ny2 = Anufft * x # another way to compute NUFFT\n@assert y1 == y2\nyd = dtft(Ω, x) # exact (slow) nonuniform discrete Fourier transform\nmaximum(abs, yd - y1) # worst error for this 1D signal","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This plot shows that the NUFFT is very close to the exact nonuniform DFT.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"xticks = ([-π,0,π], [\"-π\", \"0\", \"π\"]); xlims = (-π,π); xlabel=\"Ω\"\np1 = plot(ylabel=\"Real part\"; xlabel, xlims, xticks)\nplot!(Ω, real(y1), label=\"real(NUFFT)\", line=:dash)\nplot!(Ω, real(yd), label=\"real(DTFT)\", line=:dot)\np2 = plot(ylabel=\"Imag part\"; xlabel, xlims, xticks)\nplot!(Ω, imag(y1), label=\"imag(NUFFT)\", line=:dash)\nplot!(Ω, imag(yd), label=\"imag(NUFFT)\", line=:dot)\np3 = plot(Ω, real(yd - y1), label=\"real(Error)\"; xlabel, xlims, xticks)\np4 = plot(Ω, imag(yd - y1), label=\"imag(Error)\"; xlabel, xlims, xticks)\nplot(p1, p2, p3, p4)","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"prompt()","category":"page"},{"location":"generated/examples/2-nufft/#Plot-worst-case-errors-vs-N","page":"NUFFT","title":"Plot worst-case errors vs N","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Plot worst-case error over all frequencies Ω between 0 and 2πN for various N.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Even for N=512 the error is below 4e-6.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"Nlist = 2 .^ (4:9)\nNlist = [Nlist..., 191, 385] # test odd N values\nerrfunn = N -> maximum(nufft_errors( ; N)[2])\nelist = errfunn.(Nlist)\npn = scatter(Nlist, elist,\n xtick=Nlist, color=:red, xlabel=\"N\", ylabel=\"error\", yaxis=:log10)","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"prompt()","category":"page"},{"location":"generated/examples/2-nufft/#Plot-error-vs-NFFT-m.","page":"NUFFT","title":"Plot error vs NFFT m.","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"For the default m = 4 the worst-case error is below 4e-6.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"mlist = 3:7\nerrfunm = nfft_m -> maximum(nufft_errors( ; nfft_m)[2])\nworst_m = errfunm.(mlist)\npm = scatter(mlist, worst_m,\n xlabel=\"m\", ylabel=\"error\", color=:magenta, yaxis=:log10)","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"prompt()","category":"page"},{"location":"generated/examples/2-nufft/#Plot-error-vs-NFFT-sigma.","page":"NUFFT","title":"Plot error vs NFFT sigma.","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"For the default σ = 4 the worst-case error is below 4e-6.","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"slist = [1.5; 2:6] # σ\nerrfuns = nfft_sigma -> maximum(nufft_errors( ; nfft_sigma)[2])\nworst_s = errfuns.(slist)\nps = scatter(slist, worst_s,\n xlabel=\"σ\", ylabel=\"error\", color=:blue, yaxis=:log10)","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"prompt()","category":"page"},{"location":"generated/examples/2-nufft/#Reproducibility","page":"NUFFT","title":"Reproducibility","text":"","category":"section"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This page was generated with the following version of Julia:","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"using InteractiveUtils: versioninfo\nio = IOBuffer(); versioninfo(io); split(String(take!(io)), '\\n')","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"And with the following package versions","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"import Pkg; Pkg.status()","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"","category":"page"},{"location":"generated/examples/2-nufft/","page":"NUFFT","title":"NUFFT","text":"This page was generated using Literate.jl.","category":"page"},{"location":"methods/#Methods-list","page":"Methods","title":"Methods list","text":"","category":"section"},{"location":"methods/","page":"Methods","title":"Methods","text":"","category":"page"},{"location":"methods/#Methods-usage","page":"Methods","title":"Methods usage","text":"","category":"section"},{"location":"methods/","page":"Methods","title":"Methods","text":"Modules = [MIRT]","category":"page"},{"location":"methods/#MIRT.MIRT","page":"Methods","title":"MIRT.MIRT","text":"MIRT is the Michigan Image Reconstruction Toolbox\n\n\n\n\n\n","category":"module"},{"location":"methods/#MIRT.LineSearchMM","page":"Methods","title":"MIRT.LineSearchMM","text":"LineSearchMM{...}\n\nMutable struct for MM-based line searches.\n\n\n\n\n\n","category":"type"},{"location":"methods/#MIRT.LineSearchMM-Union{Tuple{Tw}, Tuple{AbstractVector{<:AbstractArray}, AbstractVector{<:AbstractArray}, AbstractVector{<:Function}, AbstractVector{<:Function}}} where Tw<:MIRT.LineSearchMMWork","page":"Methods","title":"MIRT.LineSearchMM","text":"LineSearchMM(gradf, curvf, u, v; α0 ...)\nLineSearchMM(u, v, dot_gradf, dot_curvf; α0 ...)\n\nConstruct iterator for line-search based on majorize-minimize (MM) approach for a general family of 1D cost functions of the form h(α) = sum_j=1^J f_j(u_j + α v_j) where each function f_j(t) has a quadratic majorizer of the form\n\nq_j(ts) = f_j(t) + nabla f_j(s) (t - s) + 12 t - s^2_C_j(s)\n\nwhere C_j() is diagonal matrix of curvatures. (It suffices for each f_j to have a Lipschitz smooth gradient.)\n\nEach function f_j mathcalX_j mathbbR where conceptually mathcalX_j mathbbR^M_j, but we allow more general domains.\n\nThere are two outer constructors (based on the positional arguments):\n\nThe simple way (not type stable) provides\ngradf vector of J functions return gradients of f_1f_J\ncurvf vector of J functions z -> curv(z) that return a scalar or a vector of curvature values for each element of z\nThe fancier way (type stable) provides\ndot_gradf::AbstractVector{<:Function} = make_dot_gradf.(gradf) See make_dot_gradf.\ndot_curvf::AbstractVector{<:Function} = make_dot_curvf.(curvf) See make_dot_curvf.\n\nin\n\nu vector of J arrays u_1u_J (typically vectors)\nv vector of J arrays v_1v_J (typically vectors)\n\nWe require axes(u_j) == axes(v_j) for all j=1J.\n\noption\n\nα0::Real = 0f0 initial guess for step size\nninner::Int = 5 # max number of inner iterations of MM line search\nwork = LineSearchMMWork(u, v, α) pre-allocated work space for u_j+α v_j\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.LineSearchMMWork","page":"Methods","title":"MIRT.LineSearchMMWork","text":"LineSearchMMWork{Tz <: AbstractVector{<:AbstractArray}}\n\nWorkspace for storing z_j = u_j + α v_j in MM-based line search.\n\nIf all of those z_j arrays had the same eltype, then we could save memory by allocating just the longest vector needed. But for Unitful data they could have different eltypes and sizes, which would require a lot of reinterpret and reshape to handle. So we just allocate separate work arrays for each j.\n\n\n\n\n\n","category":"type"},{"location":"methods/#MIRT.Afft-Union{Tuple{AbstractArray{<:Bool, D}}, Tuple{Tw}, Tuple{D}} where {D, Tw<:Number}","page":"Methods","title":"MIRT.Afft","text":"A = Afft(samp::AbstractArray{Bool} ; T, dims, operator, work, ...)\n\nMake a LinearMapAO operator object for (under-sampled) FFT, of type T, using given sampling pattern samp. Especially for compressed sensing MRI with Cartesian sampling.\n\nOption:\n\nT::Type = ComplexF32\ndims = 1:D apply fft/bfft only along these dimensions\nfft_forward::Bool = true Use false to have bfft! in forward model.\noperator::Bool = true set to false to return a LinearMapAM\nwork::AbstractArray work space for in-place fft operations\nremaining arguments are passed to plan_fft\n\nOutput\n\nReturns a LinearMapsAA.LinearMapA[M|O] object.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.Afft-Union{Tuple{Tuple{Vararg{Int64, D}}}, Tuple{Tw}, Tuple{D}, Tuple{Tuple{Vararg{Int64, D}}, Any}} where {D, Tw<:Number}","page":"Methods","title":"MIRT.Afft","text":"A = Afft(xdim::Dims, fdim ; T, operator, unitary, work, ...)\n\nMake a <:LinearMapAX operator object for the FFT of an array of size xdim, along dimensions fdim, of type T.\n\nIn:\n\nxdim::Dims{D} array size\nfdim = 1:D apply fft/bfft only along these dimensions\n\nOption:\n\nT::Type = ComplexF32\noperator::Bool = true return a LinearMapAO set to false to return a LinearMapAM\nunitary::Bool = false set to true for unitary DFT\nwork::AbstractArray work space for in-place fft operations\nremaining arguments are passed to plan_fft\n\nOutput\n\nReturns a LinearMapsAA.LinearMapA[M|O] object.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.Anufft-Tuple{AbstractArray{<:Real}, Int64}","page":"Methods","title":"MIRT.Anufft","text":"Anufft(ω, N ; kwargs ...)\n\nMake a LinearMapAO object of size length(ω) × prod(N). See nufft_init for options.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.Aodwt-Tuple{Tuple{Vararg{Int64, N}} where N}","page":"Methods","title":"MIRT.Aodwt","text":"A, levels, mfun = Aodwt(dims ; level::Int=3, wt=wavelet(WT.haar))\n\nCreate orthogonal discrete wavelet transform (ODWT) LinearMapAA\n\nin\n\ndims::Dims tuple of dimensions\n\noption\n\nlevel::Int # of levels; default 3\nwt wavelet transform type (see Wavelets package); default Haar\noperator::Bool=true default to LinearMapAO\nT::Type : Float32 by default; use ComplexF32 if needed\n\nout\n\nA a LinearMapAX object\nscales array of size dims showing the scale of each coefficient\n\nwhich is useful when imposing scale-dependent regularization\n\nmfun convenience function for A*X when X is a Matrix or Array (not vector)\n\n2019-02-23 Jeff Fessler, University of Michigan\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.Asense-Union{Tuple{Tw}, Tuple{D}, Tuple{AbstractArray{<:Bool, D}, Vector{<:AbstractArray{<:Number}}}} where {D, Tw<:Number}","page":"Methods","title":"MIRT.Asense","text":"Asense(samp, smaps; T)\n\nConstruct a MRI encoding operator model for D-dimensional Cartesian sampling pattern samp and coil sensitivity maps smaps.\n\nThe input smaps can either be a D+1 dimensional array of size (size(samp)..., ncoil), or a Vector of ncoil arrays of size size(samp).\n\nInput\n\nsamp::AbstractArray{<:Bool} D-dimensional sampling pattern.\nsmaps::Vector{<:AbstractArray{<:Number}} or AbstractArray{<:Number}\n\nOption\n\nT::Type = ComplexF32\ndims = 1:D apply fft/bfft only along these dimensions\nfft_forward::Bool = true Use false to have bfft! in forward model.\nunitary::Bool = false set to true for unitary DFT\nremaining arguments are passed to plan_fft\n\nOutput\n\nReturns a LinearMapsAA.LinearMapAO object.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT._show_struct-Tuple{IO, MIME{Symbol(\"text/plain\")}, Any}","page":"Methods","title":"MIRT._show_struct","text":"_show_struct(io::IO, ::MIME\"text/plain\", st::Any)\n\nInformative way to show fields of a struct (composite type).\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.caller_name-Tuple{}","page":"Methods","title":"MIRT.caller_name","text":"caller_name() or caller_name(;level=4)\n\nReturn \"filename line fun():\" as a string to describe where this function was called.\n\nStack levels:\n\n1: #caller_name\n2: caller_name()\n3: function that invoked caller()\n4: the calling function we want to return\n\nHence the default level is 4, but we increment it by one in case user says @show caller_name() in which case stack[3] is a macro expansion.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diff_adj-Union{Tuple{D}, Tuple{AbstractVector{<:Number}, Tuple{Vararg{Int64, D}}}} where D","page":"Methods","title":"MIRT.diff_adj","text":"Z = diff_adj(dx, N::Dims{D} ; dims = 1:D)\n\nAdjoint of finite differences of arrays along one or more dimensions. By default performs the same operations as vec(Z) = (I_N_d otimes cdots otimes D_N_1) dots (D_N_d otimes cdots otimes I_N_1) * d where D_N denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).\n\nin\n\ndx vector of typical length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1\nN::Dims desired output size\n\noption\n\ndims dimension(s) for performing adjoint finite differences; default 1:ndims(X)\n\nout\n\nZ N_1 × ... × N_d array by default\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diff_forw-Union{Tuple{AbstractArray{<:Number, D}}, Tuple{D}} where D","page":"Methods","title":"MIRT.diff_forw","text":"d = diff_forw(X ; dims = 1:ndims(X))\n\nFinite differences along one or more dimensions of an array, e.g., for anisotropic TV regularization.\n\nBy default performs the same operations as d = (I_N_d otimes cdots otimes D_N_1) dots (D_N_d otimes cdots otimes I_N_1) vec(X) where D_N denotes the N-1 × N 1D finite difference matrix and ⊗ denotes the Kronecker product, but does it efficiently without using spdiagm (or any SparseArrays function).\n\nInput dimension N must exceed 1 for each dimension specified by dims.\n\nin\n\nX N_1 × ... × N_d array (typically an N-D image).\n\noption\n\ndims dimension(s) for performing finite differences; default 1:ndims(X)\n\nmust have unique elements and be a nonempty subset of 1:ndims(X)\n\nout\n\nd vector of default length N_d*...*(N_1-1) + ... + (N_d-1)*...*N_1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diff_map-Union{Tuple{Tuple{Vararg{Int64, D}}}, Tuple{D}} where D","page":"Methods","title":"MIRT.diff_map","text":"T = diff_map(N::Dims{D} ; dims = 1:D)\n\nin\n\nN::Dims image size\n\nout\n\nT LinearMapAA object for computing finite differences via T*x\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl!-Union{Tuple{Nx}, Tuple{Ng}, Tuple{Tx}, Tuple{Tg}, Tuple{AbstractArray{Tg, Ng}, AbstractArray{Tx, Nx}, AbstractVector{Int64}}} where {Tg, Tx, Ng, Nx}","page":"Methods","title":"MIRT.diffl!","text":"diffl!(g::AbstractArray, x::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nWhen x is a N-dimensional array, the ith slice of the g array (along its last dimension) is the diffl! of x along dims[i]. This is useful for total variation (TV) and other regularizers that need finite differences along multiple dimensions.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl!-Union{Tuple{N}, Tuple{Tx}, Tuple{Tg}, Tuple{AbstractArray{Tg, N}, AbstractArray{Tx, N}, Int64}} where {Tg, Tx, N}","page":"Methods","title":"MIRT.diffl!","text":"diffl!(g::AbstractArray, x::AbstractArray, dim::Int ; ...)\n\nApply left finite difference operator to input array x, storing the result \"in-place\" in pre-allocated output array g. (The letter g is mnemonic for \"gradient\".)\n\nArrays g and x must have the same size, and cannot alias. By default, the \"first\" elements of g are zero for dimension dim. The default is dim=1.\n\nOption:\n\nadd::Bool = false use x[i] + x[i-1] instead of x[i] - x[i-1] (useful for certain diagonal majorizers).\nedge::Symbol = :zero set the first elements of dimension dim to 0\nChoose edge=:circ to use circulant (aka periodic) boundary conditions.\nChoose edge=:none to leave the first elements untouched.\n\nExample\n\njulia> x = [2, 6, 7]; g = similar(x); diffl!(g, x)\n3-element Vector{Int64}:\n 0\n 4\n 1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl-Tuple{AbstractArray, AbstractVector{Int64}}","page":"Methods","title":"MIRT.diffl","text":"g = diffl(x::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nAllocating version of diffl! for dims\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl-Tuple{AbstractArray, Int64}","page":"Methods","title":"MIRT.diffl","text":"g = diffl(x::AbstractArray, dim::Int ; ...)\n\nAllocating version of diffl! along dim\n\nExample\n\njulia> x = [1,2] .+ [10 30 70]; g = diffl(x, 2)\n2×3 Matrix{Int64}:\n 0 20 40\n 0 20 40\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl-Tuple{AbstractArray}","page":"Methods","title":"MIRT.diffl","text":"g = diffl(x::AbstractArray ; ...)\n\nAllocating version of diffl! along dim=1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj!-Union{Tuple{Ng}, Tuple{Nz}, Tuple{Tg}, Tuple{Tz}, Tuple{AbstractArray{Tz, Nz}, AbstractArray{Tg, Ng}, AbstractVector{Int64}}} where {Tz, Tg, Nz, Ng}","page":"Methods","title":"MIRT.diffl_adj!","text":"diffl_adj!(z::AbstractArray, g::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nAdjoint of diffl! for multiple dimensions dims. Here g must have one more dimension than z.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj!-Union{Tuple{N}, Tuple{Tg}, Tuple{Tz}, Tuple{AbstractArray{Tz, N}, AbstractArray{Tg, N}, Int64}} where {Tz, Tg, N}","page":"Methods","title":"MIRT.diffl_adj!","text":"diffl_adj!(z, g, dim::Int ; ...)\n\nAdjoint of left finite difference diffl!, in-place. Arrays z and g must be same size. See diffl_adj for details.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj-Tuple{AbstractArray, Int64}","page":"Methods","title":"MIRT.diffl_adj","text":"z = diffl_adj(g::AbstractArray, dim::Int ; ...)\n\nAllocating version of diffl_adj! along dim.\n\nExample\n\njulia> g = ones(Int,2,3); z = diffl_adj(g, 2)\n2×3 Matrix{Int64}:\n -1 0 1\n -1 0 1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj-Tuple{AbstractArray}","page":"Methods","title":"MIRT.diffl_adj","text":"z = diffl_adj(g::AbstractArray ; ...)\n\nAllocating version of diffl_adj! along dim=1.\n\nExample\n\njulia> g = [0, 2, 5]; z = diffl_adj(g)\n3-element Vector{Int64}:\n -2\n -3\n 5\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_adj-Union{Tuple{N}, Tuple{T}, Tuple{AbstractArray{T, N}, AbstractVector{Int64}}} where {T, N}","page":"Methods","title":"MIRT.diffl_adj","text":"z = diffl_adj(g::AbstractArray, dims::AbstractVector{Int} ; ...)\n\nAllocating version of diffl_adj! for dims.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.diffl_map-Union{Tuple{D}, Tuple{Tuple{Vararg{Int64, D}}, AbstractVector{Int64}}} where D","page":"Methods","title":"MIRT.diffl_map","text":"T = diffl_map(N::Dims{D}, dims::AbstractVector{Int} ; kwargs...)\nT = diffl_map(N::Dims{D}, dim::Int ; kwargs...)\n\nin\n\nN::Dims image size\n\noptions: see diffl!\n\nT::Type for LinearMapAA, default Float32\noperator::Bool = true use false for LinearMapAM\n\nout\n\nT LinearMapAA object for computing finite differences via T*x\n\nusing diffl! and diffl_adj!\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.downsample1-Tuple{AbstractVector{<:Number}, Int64}","page":"Methods","title":"MIRT.downsample1","text":"y = downsample1(x, down ; warn=true)\n\nDownsample 1D vector by factor down.\n\nin\n\nx [n1]\ndown::Int downsampling factor\n\noption\n\nwarn::Bool warn if noninteger multiple; default isinteractive()\n\nout\n\ny [n1/down]\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.downsample2-Tuple{AbstractMatrix{<:Number}, Tuple{Int64, Int64}}","page":"Methods","title":"MIRT.downsample2","text":"y = downsample2(x, down ; warn=true, T)\n\nDownsample by averaging by integer factors.\n\nin\n\nx [nx ny]\ndown can be a scalar (same factor for both dimensions) or a NTuple{2,Int}\n\noption\n\nwarn::Bool warn if noninteger multiple; default isinteractive()\nT::Type specify output eltype; default eltype(x[1] / down[1])\n\nout\n\ny [nx/down ny/down]\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.downsample3-Tuple{AbstractArray{<:Number, 3}, Tuple{Int64, Int64, Int64}}","page":"Methods","title":"MIRT.downsample3","text":"y = downsample3(x, down ; warn=true, T)\n\nDownsample by averaging by integer factors.\n\nin\n\nx (nx,ny,nz)\ndown can be a scalar (same factor for all dimensions) or a NTuple{3,Int}\n\noption\n\nwarn::Bool warn if noninteger multiple; default true\nT::Type specify output eltype; default eltype(x[1] / down[1])\n\nout\n\ny (nx/down,ny/down,nz/down)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.downsample_dim1-Tuple{AbstractArray{<:Number}, Int64}","page":"Methods","title":"MIRT.downsample_dim1","text":"y = downsample_dim1(x, down ; warn::Bool)\n\nDown-sample x by factor down along first dimension by averaging.\n\nin\n\nx [n1 (Nd)]\ndown::Int downsampling factor\n\noption\n\nwarn::Bool warn if non-integer multiple; default isinteractive()\n\nout\n\ny [n1÷down (Nd)]\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft-Tuple{AbstractMatrix{<:Real}, AbstractMatrix{<:Number}}","page":"Methods","title":"MIRT.dtft","text":"X = dtft(w, x ; n_shift=?)\n\nmulti-dimensional DTFT (DSFT)\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M where here n is a CartesianIndex\n\nin\n\nw::AbstractMatrix{<:Real} (M,D) frequency locations (\"units\" radians/sample)\nx::AbstractArray{<:Number} [(Nd)] D-dimensional signal\n\noption\n\nn_shift::AbstractVector{<:Real} often is N/2; default zeros(D)\n\nout\n\nX::AbstractVector{ComplexF64} (M) DTFT\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft-Tuple{AbstractVector{<:Real}, AbstractVector{<:Number}}","page":"Methods","title":"MIRT.dtft","text":"X = dtft(w, x ; n_shift=?)\n\n1D DTFT\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M\n\nin\n\nw::AbstractVector{<:Real} (M) frequency locations (\"units\" radians/sample)\nx::AbstractVector{<:Number} (N) 1D signal\n\noption\n\nn_shift::Real often is N/2; default 0\n\nout\n\nX::AbstractVector{ComplexF64} [M] DTFT\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft_adj-Tuple{AbstractMatrix{<:Real}, AbstractVector{<:Number}, Tuple{Vararg{Int64, N}} where N}","page":"Methods","title":"MIRT.dtft_adj","text":"x = dtft_adj(w, X, N ; n_shift=?)\n\nadjoint for multi-dimensional DTFT (DSFT)\n\nxn = sum_m=1^M Xm exp(i wm (n - n_shift)) n=0N-1 where here n is a CartesianIndex\n\nin\n\nX::AbstractVector{ComplexF64} (M) DTFT\nw::AbstractMatrix{<:Real} (M,D) frequency locations (\"units\" radians/sample)\nN::Dims (D) dimensions of signal x\n\noption\n\nn_shift::AbstractVector{<:Real} often is N/2; default zeros(D)\nT::Type default (eltype(w) == Float64) ? ComplexF64 : ComplexF32\n\nout\n\nx::AbstractArray{<:Number} [(N)] D-dimensional signal\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft_adj-Tuple{AbstractVector{<:Real}, AbstractVector{<:Number}, Int64}","page":"Methods","title":"MIRT.dtft_adj","text":"x = dtft_adj(w, X, N ; n_shift=?)\n\nadjoint for 1D DTFT\n\nxn = sum_m=1^M Xm exp(i wm (n - n_shift)) n=0N-1\n\nThis is the adjoint (transpose) of dtft, not an inverse DTFT.\n\nin\n\nw::AbstractVector{<:Real} (M) frequency locations (\"units\" radians/sample)\nX::AbstractVector{ComplexF64} (M) spectrum values\nN::Int size of signal x\n\noption\n\nn_shift::Real often is N/2; default 0\nT::Type output data type; default ComplexF64\n\nout\n\nx::AbstractVector{<:Number} (N) signal\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft_init-Tuple{AbstractMatrix{<:Real}, Tuple{Vararg{Int64, N}} where N}","page":"Methods","title":"MIRT.dtft_init","text":"d = dtft_init(w, N ; n_shift=?)\n\nfor multi-dimensional DTFT (DSFT)\n\nin\n\nw::AbstractMatrix{<:Real} (M,D) frequency locations (\"units\" radians/sample)\nN::Dims [D] dimensions of signal x\n\noption\n\nn_shift::AbstractVector{<:Real} often is N/2; default zeros(D)\nT::Type default ComplexF64 for testing NUFFT accuracy\n\nout\n\nd::NamedTuple with fields dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.dtft_init-Tuple{AbstractVector{<:Real}, Int64}","page":"Methods","title":"MIRT.dtft_init","text":"d = dtft_init(w, N ; n_shift=?)\n\nFor 1D DTFT\n\nin\n\nw::AbstractVector{<:Real} (M) frequency locations (\"units\" radians/sample)\nN::Int size of signal x\n\noption\n\nn_shift::Real often is N/2; default 0\nT::Type default ComplexF64 for testing NUFFT accuracy\n\nout\n\nd::NamedTuple with fields dtft = x -> dtft(x), adjoint = y -> dtft_adj(y), A=LinearMapAO\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.embed!-Union{Tuple{D}, Tuple{T}, Tuple{AbstractArray{T, D}, AbstractVector{<:Number}, AbstractArray{Bool, D}}} where {T, D}","page":"Methods","title":"MIRT.embed!","text":"embed!(array, v, mask ; filler=0)\n\nembed vector v of length sum(mask) into elements of array where mask is true, setting the remaining elements to filler (default 0).\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.embed-Tuple{AbstractMatrix{<:Number}, AbstractArray{Bool}}","page":"Methods","title":"MIRT.embed","text":"array = embed(matrix::AbstractMatrix{<:Number}, mask::AbstractArray{Bool})\n\nEmbed each column of matrix into mask then cat along next dimension In:\n\nmatrix [sum(mask) L]\nmask [(N)]\n\nOut:\n\narray [(N) L]\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.embed-Union{Tuple{T}, Tuple{AbstractVector{T}, AbstractArray{Bool}}} where T<:Number","page":"Methods","title":"MIRT.embed","text":"array = embed(v, mask ; filler=0)\n\nembed vector v of length sum(mask) into elements of an array where mask is true; see embed!.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.eql_root-Tuple{Real, Real, Real}","page":"Methods","title":"MIRT.eql_root","text":"x = eql_root(a,b,c)\n\nNumerically stable method for computing the positive root of the quadratic polynomial -ax^2 - 2bx + c, a >= 0. Assumes solvable equations; will throw otherwise.\n\nin\n\na The negative of the x^2 term. Must be positive.\nb Half the negative of the x term.\nc The constant term.\n\nout\n\nx The positive root that satisfies 0 = -ax^2 - 2bx + c.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.exp_mult-Tuple{Any, AbstractVector{<:Number}, AbstractVector{<:Number}}","page":"Methods","title":"MIRT.exp_mult","text":"D = exp_mult(A, u, v ; warnboth)\n\nMemory efficient and fast implementation of D = A' * exp(-u * v^T) that is useful for B0-field-corrected MRI image reconstruction.\n\nin\n\nA [N L] matrix\nu [N] vector\nv [M] vector\nwarnboth warn if both u and v are complex; default: true\n\nout\n\nD [L M] complex vector: D = A' * exp(-u * v^T)\n\nD_lm = sum_n A_nl^* exp(-u_n v_m)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.exp_xform-Tuple{AbstractMatrix{<:Number}, AbstractMatrix{<:Number}, AbstractMatrix{<:Number}}","page":"Methods","title":"MIRT.exp_xform","text":"exp_xform(x, u, v ; mode::Symbol = :matrix)\n\nin\n\nx [N L] possibly complex vector(s)\nu [D N] possibly complex vectors\nv [D M] possibly complex vectors\nmode::Symbol :matrix (default) | :element | :row | :column\n\nout\n\ny [M L] typically complex vector\n\ny[m,l] = sum_n x[n,l] exp(-sum(u[:,n] .* v[:,m]))\n\nIterates through subsets of the ML matrix designated by :mode (i.e. row, column, element, or just computing the entire matrix) This is the 'slow' 'exact' transform model for MRI.\n\nOutput type will depend on input types.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.genkspace-NTuple{8, Any}","page":"Methods","title":"MIRT.genkspace","text":"genkspace\n\nGenerate the proper length of k-space trajectory.\n\nIt linearly interpolates the output of genspiral to the correct length() & takes care of the rotations for the interleaves.\n\nld is the length of the data\nnint is the number of interleaves\n\nBrad Sutton; University of Michigan\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.genspi-Tuple{Any, Any}","page":"Methods","title":"MIRT.genspi","text":"Gx, Gy, kx, ky, sx, sy, gts = genspi(...)\n\nThis is translation of C code from scanner: exactly what is played out to gradients at 4us.\n\nMulti-shot spiral design uses Duyn's approximate slewrate limited design augmented with archimedean gmax limit\n\nin [args]\n\nD = FOV; cm\nN = matrix size()\nTmax = longest acquisition allowed; s\ndts = output sample spacing; s\ngtype = trajectory type()\n\noption [CVs]\n\nnl = number of interleaves\ngamp = design grad max; G/cm\ngslew = design slew rate; mT/m/ms\nnramp = number of rampdown points; default 0\n\nout\n\nGx; Gy\n\ntime is in sec()\n\nrev 0 12/26/98 original\nrev 1 4/15/99 little better calc of ts\n\nBorrowed from Doug Noll; Univ. of Michigan. Modified to take more input cv's.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.getindex!-Union{Tuple{D}, Tuple{T}, Tuple{AbstractVector, AbstractArray{T, D}, AbstractArray{Bool, D}}} where {T, D}","page":"Methods","title":"MIRT.getindex!","text":"getindex!(y::AbstractVector, x::AbstractArray{T,D}, mask::AbstractArray{Bool,D})\n\nEquivalent to the in-place y .= x[mask] but is non-allocating.\n\nFor non-Boolean indexing, just use @views y .= A[index], per https://discourse.julialang.org/t/efficient-non-allocating-in-place-getindex-for-bitarray/42268\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.interp1-Tuple{AbstractVector{<:Real}, AbstractVector{<:Number}, Any}","page":"Methods","title":"MIRT.interp1","text":"yi = interp1(x, y, xi ; how=Gridded(Linear()), extrap=0)\n\n1D interpolation of y = f(x) at points xi\n\nIn:\n\nx::AbstractVector{<:Real}\ny::AbstractVector{<:Number}\n\nOption:\n\nhow::Interpolations.InterpolationType default Gridded(Linear())\nextrap::Any how to extrapolate, e.g., Flat(); default 0\n\nother options from Interpolations.jl are Line() Periodic() Reflect() Throw()\n\nOutput is same size as input xi\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_dump-Tuple{Any}","page":"Methods","title":"MIRT.ir_dump","text":"ir_dump(x::Any ; io::IO = stdout)\nir_dump(io::IO, x::Any)\n\nShow all the fields of a structure or NamedTuple more nicely than dump() does\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_load_brainweb_t1_256-Tuple{}","page":"Methods","title":"MIRT.ir_load_brainweb_t1_256","text":"data = ir_load_brainweb_t1_256()\n\nLoad brainweb T1-weighted MRI slice of size 256 × 256.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_coil_compress-Tuple{AbstractArray{<:Number}}","page":"Methods","title":"MIRT.ir_mri_coil_compress","text":"(odata, σ, Vr) = ir_mri_coil_compress(idata ; ncoil)\n\nMRI coil compression via PCA. Given multiple MRI surface coil images (idata), use SVD/PCA to find a smaller number of virtual coil images (odata).\n\nIn:\n\nidata [(N) n_in]: noisy complex images (2D or 3D) for each coil\n\nOption:\n\nncoil Desired # of virtual coils (default: 1)\n\nOut:\n\nodata [(N) ncoil]: virtual coil images\nσ [n_in]: singular values.\nVr [n_in, ncoil]: compression matrix for reducing other data.\n\ntodo: currently ignores noise correlations\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_kspace_ga_radial-Tuple{}","page":"Methods","title":"MIRT.ir_mri_kspace_ga_radial","text":"kspace = ir_mri_kspace_ga_radial(; Nro=?, Nspoke=?, ...)\n\nGenerate k-space sampling pattern for \"golden angle\" radial sampling.\n\noption\n\nNro:Int number of samples in each readout/spoke, default 256\nNspoke::Int number of spokes, default 1\nstart::Real first angle in series [radians], default π/2\nangle::Real angular spacing [radians], default GA\ndelta_ro::Real readout spacing, default 1/Nro\nshift::Real shift due to gradient delays, default 0\nradial sample locations are ir * delta_ro\nwhere ir = [-(Nro/2 - 1):1:Nro/2] + shift\n\nout\n\nkspace [Nro Nspoke 2] (Float32)\n\nkx and ky k-space locations for Nspoke*Nro samples in interval (-0.5 0.5] for default shift, delta_ro so default units are \"cycles / sample\"\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_sensemap_sim-Tuple{Symbol}","page":"Methods","title":"MIRT.ir_mri_sensemap_sim","text":"(smap,info) = ir_mri_sensemap_sim( :all ; kwargs)\n\nLike ir_mri_sensemap_sim but also returns info with data for all coils, mainly for testing and plotting.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_sensemap_sim-Tuple{Vector{Tuple{Int64, Int64}}}","page":"Methods","title":"MIRT.ir_mri_sensemap_sim","text":"(smap,info) = ir_mri_sensemap_sim( ir_ic_pair ; kwargs)\n\nLike ir_mri_sensemap_sim but also returns info with data for specific coils where ir_ic_pair::Vector{Tuple{Int,Int}}. (Usually used internally only.)\n\ninfo::NamedTuple geometry information for plots\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_sensemap_sim-Tuple{}","page":"Methods","title":"MIRT.ir_mri_sensemap_sim","text":"smap = ir_mri_sensemap_sim(...)\n\nSimulate 2D or 3D sensitivity maps for sensitivity-encoded MRI based on grivich:00:tmf.\n\nThis code makes maps for multiple coils, but does not model coupling between coils, so most likely it is an approximation at best.\n\noption\n\ndims::Dims image size; default (64, 64)\ndx::Real pixel/voxel dimension; default: 3\ndy::Real pixel/voxel dimension; default: dx\ndz::Real \"\"\nncoil::Int # of coils total; default 4\nnring::Int # of rings of coils; default 1\nrcoil::Real coil radius; default dx * nx / 2 * 0.50\ndz_coil ring spacing in z; default nz*dz/nring\n(3D geometry is a cylinder)\ncoil_distance::Real distance of coil center from isocenter\nfor central ring of coils as a multiple of FOVx,\nwhere FOVx=nx*dx; default 1.2\norbit::Real default 360 [degrees]\norbit_start::AbstractVector{<:Real} = fill(0, nring) [degrees]\nscale::Symbol\n:none (default)\nssos_center make SSoS of center = 1\n\nout\n\nsmap [dims ncoil] simulated sensitivity maps (complex!)\n\nAll length parameters must have same units (e.g., mm or cm)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_sensemap_sim_do-NTuple{14, Any}","page":"Methods","title":"MIRT.ir_mri_sensemap_sim_do","text":"(smap, info) = ir_mri_sensemap_sim_do()\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_smap1-NTuple{4, Any}","page":"Methods","title":"MIRT.ir_mri_smap1","text":"ir_mri_smap1()\n\nBased on grivich:00:tmf for a circular coil in \"x-y plane\" of radius \"a\"\n\nNote that coil x-y plane is not same as object x-y plane!\n\nReturns (i,j,k) components of B vector for each (x,y,z) location.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ir_mri_smap_r-Tuple{Any, Any}","page":"Methods","title":"MIRT.ir_mri_smap_r","text":"ir_mri_smap_r(r, z)\n\nFunction for testing near 0.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.jinc-Tuple{Real}","page":"Methods","title":"MIRT.jinc","text":"jinc(x)\n\nReturn jinc(x) = J1(pi*x)/(2x), where J1 is a Bessel function of the first kind.\n\nUnits of x are typically cycles/m.\n\nReturn type is promote_type(typeof(x), Float32).\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.line_search_mm-Tuple","page":"Methods","title":"MIRT.line_search_mm","text":"α = line_search_mm(args...; opt, fun, kwargs...)\n\nLine-search based on majorize-minimize (MM) approach. This is a wrapper around the iterator LineSearchMM. See its constructors for args and other kwargs.\n\noption\n\nfun(state) User-defined function to be evaluated with the state initially and then after each iteration.\nout::Union{Nothing,Vector{Any}} = nothing optional place to store result of fun for iterates 0,…,ninner: (All missing by default.) This is aVector{Any}of lengthninner+1`.\n\noutput\n\nα final iterate\n\nThis function mutates the optional arguments out and work.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.make_dot_curvf-Union{Tuple{Tw}, Tuple{Tx}, Tuple{Function, AbstractArray{Tx}}, Tuple{Function, AbstractArray{Tx}, Type{<:Number}}} where {Tx<:Number, Tw<:Number}","page":"Methods","title":"MIRT.make_dot_curvf","text":"make_dot_curvf(curv::Function, [x, Tf::Type; w = similar(x)])\n\nMake a function with arguments (v, x) that computes the dot product between abs2.(v) and curv(x) where curv(x) is a curvature function associated with a quadratic majorizer for some real-valued cost function f(x), evaluated at array x, typically for use in a line-search method.\n\nFor a single-argument gradient function curv(x), this returns the version equivalent to (v, x) -> dot(abs2.(v), curv(x)). This version will be allocating, unless curv has its own internal workspace due to a closure. This version expects only the argument curv.\nFor a two-argument mutating gradient function curv!(w, x), this returns a function equivalent to (v, x) -> dot(abs2.(v), curv!(w, x)) using the keyword argument w as the work array.\nIf curv is simply a real number (a Lipschitz constant), possibly with units, then this returns the function (v, x) -> curv * sum(abs2, v).\n\nIf f(x) maps an Array x of elements with units Ux into real numbers with units Uf, then its curvature has units Uf/Ux^2. Those units are relevant to defining the work array w.\n\nin\n\ncurv::Function see above\nx an array whose size and eltype is used to allocate w\n\noption\n\nTf::Type = typeof(one(eltype(x))) Specify eltype of function f(x), defaulting to unitless.\nw = similar(x, typeof(oneunit(Tf) / oneunit(eltype(x))^2)) work space for gradient calculation, with appropriate units (if needed).\n\nout\n\n(v, x) -> dot(abs2.(v), curv([w,] x)) or equivalent.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.make_dot_gradf-Union{Tuple{Tw}, Tuple{Tx}, Tuple{Function, AbstractArray{Tx}}, Tuple{Function, AbstractArray{Tx}, Type{<:Number}}} where {Tx<:Number, Tw<:Number}","page":"Methods","title":"MIRT.make_dot_gradf","text":"make_dot_gradf(grad::Function, [x, Tf::Type; w = similar(x)])\n\nMake a function with arguments (v, x) that computes the dot product between an array v and the gradient grad(x) of some real-valued cost function f(x), evaluated at array x, typically for use in a line-search method.\n\nFor a single-argument gradient function grad(x), this returns the version (v, x) -> dot(v, grad(x)). This version will be allocating, unless grad has its own internal workspace due to a closure. This version expects only the argument grad.\nFor a two-argument mutating gradient function grad!(w, x), this returns a function (v, x) -> dot(v, grad!(w, x)) using the keyword argument w as the work array.\n\nIf f(x) maps an Array x of elements with units Ux into real numbers with units Uf, then the gradient ∇f has units Uf/Ux. Those units are relevant to defining the work array w.\n\nin\n\ngrad::Function see above\nx an array whose size and eltype is used to allocate w\nTf::Type = typeof(one(eltype(x))) Specify eltype of function f(x), defaulting to unitless.\n\noption\n\nw = similar(x, typeof(oneunit(Tf) / oneunit(eltype(x)))) work space for gradient calculation, with appropriate units (if needed).\n\nout\n\n(v, x) -> dot(v, grad([w,] x)) or equivalent.\n\nExample. Consider the cost function f(x) = sum(sin.(x)) that has gradient g(x) = cos.(x). The simple way here is make_dot_gradf(g), which will return the function (v, x) = dot(v, g(x)) === dot(v, cos.(x)). That will work fine, but the cos.(x) step will be allocating. A better way (for repeated use) is\n\nfunction g!(work, x)\n @. work = cos(x) # mutating\n return work\nend\n\nThen make_dot_gradf(g!, x) will return a function (v,x) that does not allocate (except when first generated via a closure). For this particular example, an even better approach is to directly define dot_gradf(v,x) = sum(vx -> vx[1]*cos(vx[2]), zip(v,x)), but make_dot_gradf is here for more general cases.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.map_many-Tuple{Function, AbstractArray, Tuple{Vararg{Int64, N}} where N}","page":"Methods","title":"MIRT.map_many","text":"y = map_many(fun::Function, x::AbstractArray{<:Any}, idim::Dims)\n\nApply a function fun to leading slices of input x; cousin of mapslices\n\nin\n\nfun::Function maps input of size idim to output of some size odim\nx [idim ldim]\n\nout\n\ny [odim ldim]\n\nExample: if fun maps array of size (1,2) to array of size (3,4,5) and if input x has size (1,2,7,8) then output y will have size (3,4,5,7,8) where y[:,:,:,i,j] = fun(x[:,:,i,j])\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mask_or-Tuple{AbstractMatrix{Bool}}","page":"Methods","title":"MIRT.mask_or","text":"mask_or(mask)\n\ncompress 3D mask to 2D by logical or along z direction\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mask_outline-Tuple{AbstractMatrix{Bool}}","page":"Methods","title":"MIRT.mask_outline","text":"mask_outline(mask)\n\nreturn outer boundary of 2D mask (or mask_or for 3D)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.maskit-Tuple{AbstractArray{<:Number}, AbstractArray{Bool}}","page":"Methods","title":"MIRT.maskit","text":"maskit(x::AbstractArray{<:Number})\n\nopposite of embed\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.max_percent_diff-Tuple{Any, Any}","page":"Methods","title":"MIRT.max_percent_diff","text":"max_percent_diff(s1, s2, [options])\n\nCompute the \"maximum percent difference\" between two signals: s1, s2.\n\nDefault is to normalize by maximum(abs, s1).\n\noptions\n\nmaxboth::Bool = false use max of both arguments to normalize\nnormalize::Bool = false normalize each before comparing\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_kspace_spiral-Tuple{}","page":"Methods","title":"MIRT.mri_kspace_spiral","text":"kspace, omega, gradxy = mri_kspace_spiral( [options] )\n\nMake k-space spiral trajectory based on GE 3T scanner constraints\n\nOption:\n\nN dimension of reconstructed image\nNt # of time points\nfov field of view in cm\ndt time sampling interval out; default 5e-6 sec\ngamp::Real design gradient amplitude max, G/cm; default 2.2\ngslew::Int design slew rate, mT/m/ms; default 180\n\nOut:\n\nkspace [Nt,2] kspace trajectory [kx ky] in cycles/cm, NO: cycles/FOV\nomega [Nt,2] \"\" in radians\ngradxy [Nt 2] gradient waveforms in (units?)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_trajectory-Union{Tuple{}, Tuple{D}} where D","page":"Methods","title":"MIRT.mri_trajectory","text":"kspace, omega, wi = mri_trajectory( ; ktype, N, fov, arg_wi, kwargs...)\n\nGenerate kspace trajectory samples and density compensation functions.\n\noption\n\nktype::Symbol k-space trajectory type; default :radial\nN::Dims target image size; default (32,30)\nfov field of view in x and y (and z); default (250,250) mm\narg_wi options to pass to ir_mri_density_comp - not yet done\nkwargs options for the specific trajectory\n\nout\n\nkspace [Nk 2|3] kspace samples in units 1/fov\nomega [Nk 2|3] trajectory samples over [-π,π)\nwi [Nk 1] (optional) density compensation factors\n\ntrajectory types:\n\n:cartesian\n:radial\n:cart_y_2\n:random\n:half8\n:epi_sin\n:spiral0 :spiral1 :spiral3\n:rosette3\n:epi_under\n:gads (emulate golden-angle data sharing per winkelmann:07:aor)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_trajectory_gads-Union{Tuple{Nring}, Tuple{Tuple{Vararg{Int64, N}} where N, Any}} where Nring","page":"Methods","title":"MIRT.mri_trajectory_gads","text":"omega, wi = mri_trajectory_gads(N, fov ; ...)\n\nEmulate 2D golden angle radial sampling with data sharing\n\noption\n\nNro # of samples in each readout/spoke\nshift shift along read-out due to gradient delays (stress)\nkmax_frac fractions of maximum krad (0.5) for rings (annuli)\nunder under-sampling factor for each annulus\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_trajectory_radial-Tuple{Tuple{Vararg{Int64, N}} where N, Any}","page":"Methods","title":"MIRT.mri_trajectory_radial","text":"mri_trajectory_radial()\n\noption\n\nna_nr default ensures proper sampling at edge of k-space\nna angular spokes; default: na_nr * nr\nnr radial samples per spoke\nir default: 0:nr\n\ntodo: generalize to 3D using barger:02:trc\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.mri_trajectory_rosette3-Tuple{Any, Any}","page":"Methods","title":"MIRT.mri_trajectory_rosette3","text":"mri_trajectory_rosette3(N, fov ; ...)\n\n3d rosette, with default parameters from bucholz:08:miw\n\noption\n\nomax maximum omega\nnt time samples (65.536 ms for 4 usec dt)\ndt time sample spacing (4 usec)\nti time samples\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ncg-Tuple{AbstractVector, AbstractVector{<:Function}, AbstractVector{<:Function}, AbstractArray{<:Number}}","page":"Methods","title":"MIRT.ncg","text":"(x,out) = ncg(B, gradf, curvf, x0 ; ...)\n\nNonlinear preconditioned conjugate gradient algorithm to minimize a general \"inverse problem\" cost function of the form Psi(x) = sum_j=1^J f_j(B_j x) where each function f_j(v) has a quadratic majorizer of the form\n\nq_j(vu) = f_j(u) + nabla f_j(u) (v - u) + 12 v - u^2_C_j(u)\n\nwhere C_j(u) is diagonal matrix of curvatures. (It suffices for each f_j to have a Lipschitz smooth gradient.)\n\nThis CG method uses a majorize-minimize (MM) line search.\n\nin\n\nB vector of J blocks B_1B_J\ngradf vector of J functions return gradients of f_1f_J\ncurvf vector of J functions z -> curv(z) that return a scalar or a vector of curvature values for each element of z\nx0 initial guess; need length(x) == size(B[j],2) for j=1J\n\nUsually x0 is a Vector but it can be an Array if each B_j is a linear operator (e.g., LinearMapAO) of suitable \"dimensions\".\n\noption\n\nniter # number of outer iterations; default 50\nninner # number of inner iterations of MM line search; default 5\nP # preconditioner; default I\nbetahow \"beta\" method for the search direction; default :dai_yuan\nfun User-defined function to be evaluated with two arguments (x,iter).\nIt is evaluated at (x0,0) and then after each iteration.\n\noutput\n\nx final iterate\nout [niter+1] (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))\n(all 0 by default). This is an array of length niter+1\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ncg-Tuple{Function, Function, AbstractArray{<:Number}}","page":"Methods","title":"MIRT.ncg","text":"(x,out) = ncg(grad, curv, x0, ...)\n\nSpecial case of ncg (nonlinear CG) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_eltype-Tuple{Type{<:Integer}}","page":"Methods","title":"MIRT.nufft_eltype","text":"nufft_eltype(::Type)\n\nensure plan_nfft eltype is Float32 or Float64\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_errors-Tuple{}","page":"Methods","title":"MIRT.nufft_errors","text":"w, errs = nufft_errors( ; M=401, w=?, N=513, n_shift=0, ...)\n\nCompute NUFFT approximation errors (for signal of length N of unit norm), for given digital frequency values w, i.e., Ω. Default w is range(0, 2π/N, M).\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_init-Tuple{AbstractArray{<:Real}, Int64}","page":"Methods","title":"MIRT.nufft_init","text":"p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=0)\n\nSetup 1D NUFFT, for computing fast O(N log N) approximation to\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M\n\nin\n\nw::AbstractArray{<:Real} [M] frequency locations (aka Ω, units radians/sample)\neltype(w) determines the plan_nfft type; so to save memory use Float32!\nsize(w) determines odim for A if operator=true\nN::Int signal length\n\noption\n\nnfft_m::Int see NFFT.jl documentation; default 4\nnfft_sigma::Real \"\", default 2.0\nn_shift::Real often is N/2; default 0\npi_error::Bool throw error if w π, default true\nSet to false only if you are very sure of what you are doing!\ndo_many::Bool support extended inputs via map_many? default true\noperator::Bool=true set to false to make A an LinearMapAM\n\nout\n\np NamedTuple\n\n(nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A::LinearMapAO)\n\nThe default settings are such that for a 1D signal of length N=512, the worst-case error is below 1e-5 which is probably adequate for typical medical imaging applications. To verify this statement, run nufft_plot1() and see plot.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_init-Union{Tuple{D}, Tuple{AbstractArray{<:Real}, Tuple{Vararg{Int64, D}}}} where D","page":"Methods","title":"MIRT.nufft_init","text":"p = nufft_init(w, N ; nfft_m=4, nfft_sigma=2.0, pi_error=true, n_shift=?)\n\nSetup multi-dimensional NUFFT, for computing fast O(N log N) approximation to\n\nXm = sum_n=0^N-1 xn exp(-i wm (n - n_shift)) m=1M\n\nin\n\nw::AbstractArray{<:Real} [M,D] frequency locations (aka Ω, units radians/sample)\neltype(w) determines the plan_nfft type; so to save memory use Float32!\nsize(w)[1:(end-1)] determines odim if operator=true\nN::Dims{D} signal dimensions\n\noption\n\nnfft_m::Int see NFFT.jl documentation; default 4\nnfft_sigma::Real \"\", default 2.0\nn_shift::AbstractVector{<:Real} (D) often is N/2; default zeros(D)\npi_error::Bool throw error if w π, default true\nSet to false only if you are very sure of what you are doing!\ndo_many::Bool support extended inputs via map_many? default true\noperator::Bool=true set to false to make A a LinearMapAM\n\nThe default do_many option is designed for parallel MRI where the k-space sampling pattern applies to every coil. It may also be useful for dynamic MRI with repeated sampling patterns. The coil and/or time dimensions must come after the spatial dimensions.\n\nout\n\np NamedTuple with fields nufft = x -> nufft(x), adjoint = y -> nufft_adj(y), A=LinearMapAO (Using operator=true allows the LinearMapAO to support do_many.)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.nufft_typer-Union{Tuple{T}, Tuple{Type{T}, T}} where T","page":"Methods","title":"MIRT.nufft_typer","text":"nufft_typer(T::Type, x::AbstractArray{<:Real} ; warn::Bool=true)\n\ntype conversion wrapper for nfft()\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ogm_ls-Tuple{AbstractVector, AbstractVector{<:Function}, AbstractVector{<:Function}, AbstractArray{<:Number}}","page":"Methods","title":"MIRT.ogm_ls","text":"(x,out) = ogm_ls(B, gradf, curvf, x0; niter=?, ninner=?, fun=?)\n\nOGM with a line search Drori&Taylor to minimize a general \"inverse problem\" cost function of the form Psi(x) = sum_j=1^J f_j(B_j x) where each function f_j(v) has a quadratic majorizer of the form\n\nq_j(vu) = f_j(u) + nabla f_j(u) (v - u) + 12 v - u^2_C_j(u)\n\nwhere C_j(u) is diagonal matrix of curvatures. (It suffices for each f_j to have a Lipschitz smooth gradient.)\n\nThis OGM method uses a majorize-minimize (MM) line search.\n\nin\n\nB vector of J blocks B_1B_J\ngradf vector of J functions return gradients of f_1f_J\ncurvf vector of J functions z -> curv(z) that return a scalar or a vector of curvature values for each element of z\nx0 initial guess; need length(x) == size(B[j],2) for j=1J\n\noption\n\nniter # number of outer iterations; default 50\nninner # number of inner iterations of MM line search; default 5\nfun User-defined function to be evaluated with two arguments (x,iter).\nIt is evaluated at (x0,0) and then after each iteration.\n\noutput\n\nx final iterate\nout (niter+1) (fun(x0,0), fun(x1,1), ..., fun(x_niter,niter))\n(all 0 by default). This is a vector of length niter+1.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.ogm_ls-Tuple{Function, Function, AbstractVector{<:Number}}","page":"Methods","title":"MIRT.ogm_ls","text":"(x,out) = ogm_ls(grad, curv, x0, ...)\n\nSpecial case of ogm_ls (OGM with line search) for minimizing a cost function whose gradient is grad(x) and that has a quadratic majorizer with diagonal Hessian given by curv(x). Typically curv = (x) -> L where L is the Lipschitz constant of grad.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.pogm_restart-Tuple{Any, Function, Function, Real}","page":"Methods","title":"MIRT.pogm_restart","text":"x, out = pogm_restart(x0, Fcost, f_grad, f_L ;\nf_mu=0, mom=:pogm, restart=:gr, restart_cutoff=0.,\nbsig=1, niter=10, g_prox=(z,c)->z, fun=...)\n\nIterative proximal algorithms (PGM=ISTA, FPGM=FISTA, POGM) with restart.\n\nin\n\nx0 initial guess\nFcost function for computing the cost function value F(x)\n(needed only if restart === :fr)\nf_grad function for computing the gradient of f(x)\nf_L Lipschitz constant of the gradient of f(x)\n\noption\n\nf_mu strong convexity parameter of f(x); default 0.\nif f_mu > 0, (alpha beta_k gamma_k) is chosen by Table 1 in [KF18]\ng_prox function g_prox(z,c) for the proximal operator for g(x)\ng_prox(z,c) computes argmin_x 12 z-x^2 + c g(x)\nmom momentum option\n:pogm POGM (fastest); default!\n:fpgm (FISTA), gamma_k = 0\n:pgm PGM (ISTA), beta_k = gamma_k = 0\nrestart restart option\n:gr gradient restart; default!\n:fr function restart\n:none no restart\nrestart_cutoff for :gr restart if cos(angle) < this; default 0.\nbsig gradient \"gamma\" decrease option (value within [0 1]); default 1\nsee barsigma in [KF18]\nniter number of iterations; default 10\nfun function(iter, xk, yk, is_restart) user-defined function evaluated each iter with secondary xk, primary yk, and boolean is_restart indicating whether this iteration was a restart\n\nout\n\nx final iterate\nfor PGM (ISTA): x_N = y_N\nfor FPGM (FISTA): primary iterate y_N\nfor POGM: secondary iterate x_N, see [KF18]\nout [fun(0, x0, x0, false), fun(1, x1, y1, is_restart), ...] array of length [niter+1]\n\nOptimization Problem: Nonsmooth Composite Convex Minimization\n\nargmin_x F(x) F(x) = f(x) + g(x))\nf(x) smooth convex function\ng(x) convex function, possibly nonsmooth and \"proximal-friendly\" [CP11]\n\nOptimization Algorithms:\n\nAccelerated First-order Algorithms when g(x) = 0 [KF18] iterate as below for given coefficients (alpha beta_k gamma_k)\n\nFor k = 0,1,...\ny_k+1 = x_k - alpha f(x_k) : gradient update\nx_k+1 = y_k+1 + beta_k (y_k+1 - y_k) + gamma_k (y_k+1 - x_k) : momentum update\n\nProximal versions of the above for g(x) neq 0 are in the below references, and use the proximal operator prox_g(z) = argmin_x 12z-x^2 + g(x).\n\nProximal Gradient method (PGM or ISTA) - beta_k = gamma_k = 0. [BT09]\nFast Proximal Gradient Method (FPGM or FISTA) - gamma_k = 0. [BT09]\nProximal Optimized Gradient Method (POGM) - [THG15]\nFPGM(FISTA) with Restart - [OC15]\nPOGM with Restart - [KF18]\n\nreferences\n\n[CP11] P. L. Combettes, J. C. Pesquet,\n\n\"Proximal splitting methods in signal processing,\" Fixed-Point Algorithms for Inverse Problems in Science and Engineering, Springer, Optimization and Its Applications, 2011.\n\n[KF18] D. Kim, J.A. Fessler,\n\n\"Adaptive restart of the optimized gradient method for convex optimization,\" 2018 Arxiv:1703.04641, [http://doi.org/10.1007/s10957-018-1287-4]\n\n[BT09] A. Beck, M. Teboulle:\n\n\"A fast iterative shrinkage-thresholding algorithm for linear inverse problems,\" SIAM J. Imaging Sci., 2009.\n\n[THG15] A.B. Taylor, J.M. Hendrickx, F. Glineur,\n\n\"Exact worst-case performance of first-order algorithms for composite convex optimization,\" Arxiv:1512.07516, 2015, SIAM J. Opt. 2017 [http://doi.org/10.1137/16m108104x]\n\nCopyright 2017-3-31, Donghwan Kim and Jeff Fessler, University of Michigan 2018-08-13 Julia 0.7.0 2019-02-24 interface redesign\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.poweriter-Tuple{Any}","page":"Methods","title":"MIRT.poweriter","text":"v1,σ1 = poweriter(A; niter=?, ...)\n\nDetermine first right singular vector v1 and first singular value σ1 of A by applying power iteration to A'A\n\nin\n\nA M × N matrix\n\noption\n\nniter default 200\nx0 initial guess of v1\ntol stopping tolerance for s1, default 1e-6\nchat::Bool verbose? default false\n\nout\n\nv1 [N] principal right singular vector\nσ1 spectral norm of A\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.rect-Tuple{Real}","page":"Methods","title":"MIRT.rect","text":"rect(x::Real)\n\nUnit width rect function. Potential problem? Bring up with fess.\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.reverser-Tuple{AbstractArray, AbstractVector{<:Int64}}","page":"Methods","title":"MIRT.reverser","text":"y = reverser(x, dims)\n\nreverse array along specified dimensions (or all if unspecified)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.rmsd100-Tuple{AbstractArray{<:Number}, AbstractArray{<:Number}}","page":"Methods","title":"MIRT.rmsd100","text":"rmsd = rmsd100(x, y ; mask)\n\nCompute 100 * RMSD (root mean squared difference) between x and y within domain mask.\n\nin\n\nx : array\ny : another array of same size\n\noption\n\nmask::Array{Bool} : domain over which to compute the RMSE; default trues(size(x))\n\nout\n\nrmsd : rmsd of x vs y within mask in %\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.rotate2d-Tuple{Any, Any, Any}","page":"Methods","title":"MIRT.rotate2d","text":"(xr,yr) = rotate2d(x, y, theta)\n\n2D rotation\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.snr2sigma-Tuple{Any, AbstractArray{<:Complex}}","page":"Methods","title":"MIRT.snr2sigma","text":"snr2sigma(db, yb)\n\nConvert SNR in dB to noise σ for complex gaussian noise. No sqrt(2) factors is needed here because randn(Complex{Float}) already accounts for that. (See randn documentation.)\n\n\n\n\n\n","category":"method"},{"location":"methods/#MIRT.@shows-Tuple{Any}","page":"Methods","title":"MIRT.@shows","text":"@shows expr\n\nShow the type and size of an expression expr (typically a variable).\n\nMore concise output than @show and typically this is all that is needed when debugging code.\n\n\n\n\n\n","category":"macro"},{"location":"#MIRT:-The-Michigan-Image-Reconstruction-Toolbox","page":"Home","title":"MIRT: The Michigan Image Reconstruction Toolbox","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"MIRT.jl is a collection of Julia functions for performing image reconstruction and solving related inverse problems.","category":"page"},{"location":"","page":"Home","title":"Home","text":"It is very much still under construction, although there are already enough tools to solve useful problems like compressed sensing MRI reconstruction. Trying the demos is a good way to get started.","category":"page"},{"location":"","page":"Home","title":"Home","text":"The documentation is even more still under construction.","category":"page"},{"location":"","page":"Home","title":"Home","text":"More complete examples are at JuliaImageRecon; see Examples there.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"EditURL = \"../../../lit/examples/3-ls-mm.jl\"","category":"page"},{"location":"generated/examples/3-ls-mm/#3-ls-mm","page":"Line search MM","title":"Line search MM","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Examples illustrating the line-search method based on majorize-minimize (MM) principles in the Julia package MIRT. This method is probably most useful for algorithm developers.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This page comes from a single Julia file: 3-ls-mm.jl.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"You can access the source code for such Julia documentation using the 'Edit on GitHub' link in the top right. You can view the corresponding notebook in nbviewer here: 3-ls-mm.ipynb, or open it in binder here: 3-ls-mm.ipynb.","category":"page"},{"location":"generated/examples/3-ls-mm/#Setup","page":"Line search MM","title":"Setup","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Packages needed here.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"using Plots; default(markerstrokecolor = :auto, label=\"\")\nusing MIRTjim: prompt\nusing MIRT: line_search_mm, LineSearchMMWork\nusing LineSearches: BackTracking, HagerZhang, MoreThuente\nusing LinearAlgebra: norm, dot\nusing Random: seed!; seed!(0)\nusing BenchmarkTools: @btime, @benchmark\nusing InteractiveUtils: versioninfo","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The following line is helpful when running this file as a script; this way it will prompt user to hit a key after each figure is displayed.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"isinteractive() && prompt(:prompt);\nnothing #hide","category":"page"},{"location":"generated/examples/3-ls-mm/#Theory","page":"Line search MM","title":"Theory","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Many methods for solving inverse problems involve optimization problems of the form","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"hatx = argmin_x mathbbF^N f(x)\nqquad\nf(x) = sum_j=1^J f_j(B_j x)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"where mathbbF denotes the field of real or complex numbers, matrix B_j has size M_j N, and f_j mathbbF^M_j mathbbR.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"One could apply general-purpose optimization methods here, like those in Optim.jl, but often we can obtain faster results by exploiting the specific (yet still fairly general) structure, particularly when the problem dimension N is large.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Many algorithms for solving such problems require an inner 1D optimization problem called a line search of the form","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"α_* = argmin_α mathbbR h(α)\nqquad\nh(α) = f(x + α d)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"for some search direction d. There are general purpose line search algorithms in LineSearches.jl, but here we focus on the specific form of f given above.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"For that form we see that we have the special structure","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"h(α) = sum_j=1^J f_j(u_j + α v_j)\nqquad\nu_j = B_j x\nquad\nv_j = B_j d","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Here we focus further on the case where each function f_j() has a quadratic majorizer of the form","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"f_j(x) q_j(xz) = f_j(z) + textreal( f_j(z) x - z )\n+ frac12 (x - z) D_j(z) (x - z)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"where D_j(z) is a positive semidefinite matrix that typically is diagonal. Often it is a constant times the identity matrix, e.g., a Lipschitz constant for f_j, but often there are sharper majorizers.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Such quadratic majorizers induce a quadratic majorizer for h(α) as well:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"h(α) q(α α_t) =\nsum_j=1^J q_j(u_j + α v_j u_j + α_t v_j)\n= h(α_t) + c_1(α_t) (α - α_t)\n+ frac12 c_2(α_t) (α - α_t)^2","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"where","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"c_1(α_t) = sum_j=1^J textreal( f_j(u_j + α_t v_j) v_j )\nqquad\nc_2(α_t) = sum_j=1^J v_j D_j(u_j + α_t v_j) v_j","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The line_search_mm function in this package uses this quadratic majorizer to update α using the iteration","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"α_t+1\n= argmin_α q(αα_t)\n= α_t - c_1(α_t) c_2(α_t)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Being an MM algorithm, it is guaranteed to decrease h(α) every update. For an early exposition of this approach, see Fessler & Booth, 1999.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"From the above derivation, the main ingredients needed are functions for computing the dot products f_j(u_j + α_t v_j) v_j and v_j D_j(u_j + α_t v_j) v_j.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The line_search_mm function can construct such functions given input gradient functions f_1f_J and curvature functions ω_1ω_J where D_j(z) = textDiag(ω_j(z)).","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Alternatively, the user can provide functions for computing the dot products.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"All of this is best illustrated by an example.","category":"page"},{"location":"generated/examples/3-ls-mm/#Smooth-LASSO-problem","page":"Line search MM","title":"Smooth LASSO problem","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The usual LASSO optimization problem uses the cost function","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"f(x) = frac12 A x - y _2^2 + β R(x)\nqquad\nR(x) = x _1 = sum_n=1^N x_n = 1 textabs(x)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The 1-norm is just a relaxation of the 0-norm so here we further \"relax\" it by considering the \"corner rounded\" version using the Fair potential function","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"R(x) = sum_n=1^N ψ(x_n) = 1 ψ(x)\nqquad\nψ(z) = δ^2 zδ - log(1 + zδ)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"for a small value of δ.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The derivative of this potential function is dotψ(z) = z (1 + z δ) and Huber's curvature ω_ψ(z) = 1 (1 + z δ) provides a suitable majorizer.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This smooth LASSO cost function has the general form above with J=2, B_1 = A, B_2 = I, f_1(u) = frac12 u - y _2^2 f_2(u) = β 1 ψ(u) for which f_1(u) = u - y f_2(u) = β ψ(u) and ^2 f_1(u) = I ^2 f_2(u) succeq β textdiag(ω_ψ(u))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Set up an example and plot h(α).","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Fair potential, its derivative and Huber weighting function:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"function fair_pot()\n fpot(z,δ) = δ^2 * (abs(z/δ) - log(1 + abs(z/δ)))\n dpot(z,δ) = z / (1 + abs(z/δ))\n wpot(z,δ) = 1 / (1 + abs(z/δ))\n return fpot, dpot, wpot\nend;\nnothing #hide","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Data, cost function and gradients for smooth LASSO problem:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"M, N = 1000, 2000\nA = randn(M,N)\nx0 = randn(N) .* (rand(N) .< 0.4) # sparse vector\ny = A * x0 + 0.001 * randn(M)\nβ = 95\nδ = 0.1\nfpot, dpot, wpot = Base.Fix2.(fair_pot(), δ)\n\nf(x) = 0.5 * norm(A * x - y)^2 + β * sum(fpot, x)\n∇f(x) = A' * (A * x - y) + β * dpot.(x)\nx = randn(N) # random point\nd = -∇f(x)/M # some search direction\nh(α) = f(x + α * d)\ndh(α) = d' * ∇f(x + α * d)\npa = plot(h, xlabel=\"α\", ylabel=\"h(α)\", xlims=(-1, 2))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Apply MM-based line search: simple version. The key inputs are the gradient and curvature functions:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"gradf = [\n u -> u - y, # ∇f₁ for data-fit term\n u -> β * dpot.(u), # ∇f₂ for regularizer\n]\ncurvf = [\n 1, # curvature for data-fit term\n u -> β * wpot.(u), # Huber curvature for regularizer\n]\n\nuu = [A * x, x] # [u₁ u₂]\nvv = [A * d, d] # [v₁ v₂]\nfun(state) = state.α # log this\nninner = 7\nout = Vector{Any}(undef, ninner+1)\nα0 = 0\nαstar = line_search_mm(gradf, curvf, uu, vv; ninner, out, fun, α0)\nhmin = h(αstar)\nscatter!([αstar], [hmin], marker=:star, color=:red)\nscatter!([α0], [h(α0)], marker=:circle, color=:green)\nps = plot(0:ninner, out, marker=:circle, xlabel=\"iteration\", ylabel=\"α\",\n color = :green)\npd = plot(0:ninner, abs.(dh.(out)), marker=:diamond,\n yaxis = :log, color=:red,\n xlabel=\"iteration\", ylabel=\"|dh(α)|\")\npu = plot(1:ninner, log10.(max.(abs.(diff(out)), 1e-16)), marker=:square,\n color=:blue, xlabel=\"iteration\", ylabel=\"log10(|α_k - α_{k-1}|)\")\nplot(pa, ps, pd, pu)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Thanks to Huber's curvatures, the α_t sequence converges very quickly.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Now explore a fancier version that needs less heap memory.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"work = LineSearchMMWork(uu, vv, α0) # pre-allocate\nfunction lsmm1(gradf, curvf)\n return line_search_mm(gradf, curvf, uu, vv;\n ninner, out, fun, α0, work)\nend\nfunction lsmm2(dot_gradf, dot_curvf)\n gradn = [() -> nothing, () -> nothing]\n return line_search_mm(uu, vv, dot_gradf, dot_curvf;\n ninner, out, fun, α0, work)\nend;\nnothing #hide","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The let statements below are a performance trick from the Julia manual. Using Iterators.map avoids allocating arrays like z - y and does not even require any work space.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"gradz = [\n let y=y; z -> Iterators.map(-, z, y); end, # z - y\n let β=β, dpot=dpot; z -> Iterators.map(z -> β * dpot(z), z); end, # β * dψ.(z)\n]\ncurvz = [\n 1,\n let β=β, wpot=wpot; z -> Iterators.map(z -> β * wpot(z), z); end, # β * ωψ.(z)\n]\n\nfunction make_grad1c()\n w = similar(uu[1]) # work-space\n let w=w, y=y\n function grad1c(z)\n @. w = z - y\n return w\n end\n end\nend\n\nfunction make_grad2c()\n w = similar(uu[2]) # work-space\n let w=w, β=β, dpot=dpot\n function grad2c(z)\n @. w = β * dpot(z)\n return w\n end\n end\nend\n\nfunction make_curv2c()\n w = similar(uu[2]) # work-space\n let w=w, β=β, wpot=wpot\n function curv2c(z)\n @. w = β * wpot(z) # β * ωψ.(z)\n return w\n end\n end\nend\n\ngradc = [ # capture version\n make_grad1c(), # z - y\n make_grad2c(), # β * dψ.(z)\n]\ncurvc = [\n 1,\n make_curv2c(), # β * ωψ.(z)\n]\n\nsum_map(f::Function, args...) = sum(Iterators.map(f, args...))\ndot_gradz = [\n let y=y; (v,z) -> sum_map((v,z,y) -> dot(v, z - y), v, z, y); end, # v'(z - y)\n let β=β, dpot=dpot; (v,z) -> β * sum_map((v,z) -> dot(v, dpot(z)), v, z); end, # β * (v'dψ.(z))\n]\ndot_curvz = [\n (v,z) -> norm(v)^2,\n let β=β, wpot=wpot; (v,z) -> β * sum_map((v,z) -> abs2(v) * wpot(z), v, z); end, # β * (abs2.(v)'ωψ.(z))\n]\n\n\na1 = lsmm1(gradf, curvf)\na1c = lsmm1(gradc, curvc)\na2 = lsmm1(gradz, curvz)\na3 = lsmm2(dot_gradz, dot_curvz)\n@assert a1 ≈ a2 ≈ a3 ≈ a1c\n\nb1 = @benchmark a1 = lsmm1($gradf, $curvf)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"bc = @benchmark a1c = lsmm1($gradc, $curvc)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"b2 = @benchmark a2 = lsmm1($gradz, $curvz)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"b3 = @benchmark a3 = lsmm2($dot_gradz, $dot_curvz)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Timing results on my Mac:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"95 μs\n65 μs # 1c after using make_\n80 μs\n69 μs (and lowest memory)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The versions using gradc and dot_gradz with their \"properly captured\" variables are the fastest. But all the versions here are pretty similar so even using the simplest version seems likely to be fine.","category":"page"},{"location":"generated/examples/3-ls-mm/#Compare-with-LineSearches.jl","page":"Line search MM","title":"Compare with LineSearches.jl","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Was all this specialized effort useful? Let's compare to the general line search methods in LineSearches.jl.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"It seems that some of those methods do not allow α₀ = 0 so we use 1.0 instead. We use the default arguments for all the solvers, which means some of them might terminate before ninner iterations, giving them a potential speed advantage.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"a0 = 1.0 # α0\nhdh(α) = h(α), dh(α)\nh0 = h(0)\ndh0 = dh(0);\nfunction ls_ls(linesearch)\n a1, fx = linesearch(h, dh, hdh, a0, h0, dh0)\n return a1\nend;\n\nsolvers = [\n BackTracking( ; iterations = ninner),\n HagerZhang( ; linesearchmax = ninner),\n MoreThuente( ; maxfev = ninner),\n]\nfor ls in solvers # check that they work properly\n als = ls_ls(ls)\n @assert isapprox(als, αstar; atol=1e-3)\nend;\nnothing #hide","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"bbt = @benchmark ls_ls($(solvers[1]))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"bhz = @benchmark ls_ls($(solvers[2]))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"bmt = @benchmark ls_ls($(solvers[3]))","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"On my Mac the timings are all much longer compared to line_search_mm:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"840 μs BackTracking\n2.6 ms HagerZhang\n3.9 ms MoreThuente","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This comparison illustrates the benefit of the \"special purpose\" line search.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"The fastest version seems to be BackTracking, so plot its iterates:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"alpha_bt = zeros(ninner + 1)\nalpha_bt[1] = a0\nfor iter in 1:ninner\n tmp = BackTracking( ; iterations = iter)\n alpha_bt[iter+1] = ls_ls(tmp)\nend\nplot(0:ninner, alpha_bt, marker=:square, color=:blue,\n xlabel=\"Iteration\", ylabel=\"BackTracking α\")\nplot!([0, ninner], [1,1] * αstar, color=:red)","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"Unexpectedly, BackTracking seems to terminate at the first iteration. But even just that single iteration is slower than 7 iterations of line_search_mm.","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"prompt()","category":"page"},{"location":"generated/examples/3-ls-mm/#Reproducibility","page":"Line search MM","title":"Reproducibility","text":"","category":"section"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This page was generated with the following version of Julia:","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"using InteractiveUtils: versioninfo\nio = IOBuffer(); versioninfo(io); split(String(take!(io)), '\\n')","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"And with the following package versions","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"import Pkg; Pkg.status()","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"","category":"page"},{"location":"generated/examples/3-ls-mm/","page":"Line search MM","title":"Line search MM","text":"This page was generated using Literate.jl.","category":"page"}] +} diff --git a/v0.18.1/siteinfo.js b/v0.18.1/siteinfo.js new file mode 100644 index 00000000..737395c0 --- /dev/null +++ b/v0.18.1/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "v0.18.1"; diff --git a/versions.js b/versions.js index 4ec0f8f9..a942d4b6 100644 --- a/versions.js +++ b/versions.js @@ -1,5 +1,6 @@ var DOC_VERSIONS = [ + "stable", "dev", ]; -var DOCUMENTER_NEWEST = "dev"; -var DOCUMENTER_STABLE = "dev"; +var DOCUMENTER_NEWEST = "v0.18.1"; +var DOCUMENTER_STABLE = "stable";