diff --git a/notebooks/agan_source_test.ipynb b/notebooks/agan_source_test.ipynb new file mode 100644 index 000000000..6fb1663db --- /dev/null +++ b/notebooks/agan_source_test.ipynb @@ -0,0 +1,256 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from astropy.table import Table\n", + "from slsim.Sources.source import Source\n", + "from astropy.cosmology import FlatLambdaCDM\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "cosmo = FlatLambdaCDM(H0=70, Om0=0.3)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "source_dict_bpl_agn = Table(\n", + " [\n", + " [1.5],\n", + " [4],\n", + " [0.35],\n", + " [0.8],\n", + " [0.76],\n", + " [18],\n", + " [[np.linspace(1, 500, 500)]],\n", + " [1000],\n", + " [10],\n", + " [500],\n", + " [10],\n", + " [8.5],\n", + " [40],\n", + " ],\n", + " names=(\n", + " \"z\",\n", + " \"n_sersic\",\n", + " \"angular_size\",\n", + " \"e1\",\n", + " \"e2\",\n", + " \"ps_mag_i\",\n", + " \"MJD\",\n", + " \"r_out\",\n", + " \"corona_height\",\n", + " \"r_resolution\",\n", + " \"inclination_angle\",\n", + " \"black_hole_mass_exponent\",\n", + " \"random_seed\",\n", + " ),\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "variable_agn_kwarg_dict = {\n", + " \"length_of_light_curve\": 3000,\n", + " \"time_resolution\": 1,\n", + " \"log_breakpoint_frequency\": 1,\n", + " \"low_frequency_slope\": 1,\n", + " \"high_frequency_slope\": 3,\n", + " \"normal_magnitude_variance\": 1,\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "source_bpl_agn = Source(\n", + " source_dict_bpl_agn,\n", + " variability_model=\"light_curve\",\n", + " kwargs_variability={\"agn_lightcurve\", \"g\", \"i\", \"z\"},\n", + " lightcurve_time=np.linspace(0, 500, 200),\n", + " cosmo=cosmo,\n", + " agn_driving_variability_model=\"bending_power_law\",\n", + " agn_driving_kwargs_variability=variable_agn_kwarg_dict,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Library/Frameworks/Python.framework/Versions/3.12/lib/python3.12/site-packages/astropy/units/quantity.py:671: RuntimeWarning: invalid value encountered in power\n", + " result = super().__array_ufunc__(function, method, *arrays, **kwargs)\n", + "/Library/Frameworks/Python.framework/Versions/3.12/lib/python3.12/site-packages/astropy/units/quantity.py:671: RuntimeWarning: overflow encountered in power\n", + " result = super().__array_ufunc__(function, method, *arrays, **kwargs)\n", + "/Library/Frameworks/Python.framework/Versions/3.12/lib/python3.12/site-packages/astropy/units/quantity.py:671: RuntimeWarning: divide by zero encountered in divide\n", + " result = super().__array_ufunc__(function, method, *arrays, **kwargs)\n", + "/Library/Frameworks/Python.framework/Versions/3.12/lib/python3.12/site-packages/astropy/units/quantity.py:671: RuntimeWarning: invalid value encountered in multiply\n", + " result = super().__array_ufunc__(function, method, *arrays, **kwargs)\n" + ] + } + ], + "source": [ + "light_curves = source_bpl_agn.kwargs_variability_extracted;" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(\n", + " light_curves[\"g\"][\"MJD\"],\n", + " light_curves[\"g\"][\"ps_mag_g\"],\n", + " label=\"g\",\n", + ")\n", + "plt.plot(\n", + " light_curves[\"i\"][\"MJD\"],\n", + " light_curves[\"i\"][\"ps_mag_i\"],\n", + " label=\"i\",\n", + ")\n", + "plt.plot(\n", + " light_curves[\"z\"][\"MJD\"],\n", + " light_curves[\"z\"][\"ps_mag_z\"],\n", + " label=\"z\",\n", + ")\n", + "\n", + "\n", + "plt.legend()\n", + "\n", + "# plt.ylim(18, 22)\n", + "# plt.xlim(100, 200)\n", + "plt.gca().invert_yaxis()\n", + "plt.ylabel(\"Magnitude\")\n", + "plt.xlabel(\"Time\" \"[Days]\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# allow for random bpl to be generated. Note that the random seed was already set, so technically every run is predetermined\n", + "if \"random_seed\" in source_dict_bpl_agn.keys():\n", + " del source_dict_bpl_agn[\"random_seed\"]\n", + "new_source = Source(\n", + " source_dict_bpl_agn,\n", + " variability_model=\"light_curve\",\n", + " kwargs_variability={\"agn_lightcurve\", \"g\", \"r\", \"i\", \"z\"},\n", + " lightcurve_time=np.linspace(0, 1000, 500),\n", + " cosmo=cosmo,\n", + ")\n", + "new_light_curves = new_source.kwargs_variability_extracted" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mean +/- dev i : 18.0 +/- 0.26\n", + "mean +/- dev z : 18.33 +/- 0.25\n", + "mean +/- dev r : 17.54 +/- 0.26\n", + "mean +/- dev g : 16.95 +/- 0.27\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "for key in new_light_curves.keys():\n", + " ax.plot(\n", + " new_light_curves[key][\"MJD\"],\n", + " new_light_curves[key][\"ps_mag_\" + str(key)],\n", + " label=key,\n", + " )\n", + " print(\n", + " \"mean +/- dev\",\n", + " key,\n", + " \":\",\n", + " round(np.mean(new_light_curves[key][\"ps_mag_\" + str(key)]), 2),\n", + " \"+/-\",\n", + " round(np.std(new_light_curves[key][\"ps_mag_\" + str(key)]), 2),\n", + " )\n", + "ax.legend(loc=1)\n", + "ax.invert_yaxis()\n", + "ax.set_xlabel(\"time [days]\")\n", + "ax.set_ylabel(\"magnitude\")\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.2" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/slsim/Sources/agn.py b/slsim/Sources/agn.py index f0773c8ec..4a812d73e 100644 --- a/slsim/Sources/agn.py +++ b/slsim/Sources/agn.py @@ -128,15 +128,6 @@ def get_mean_mags(self, bands): return magnitudes -# Include a basic driving light curve to illustrate variability between bands -# Any light curve can be inserted into the "intrinsic_light_curve" keyword of -# "kwargs_agn_model". Here we include a placeholder to include (relatively -# nonsensical) variability without user input. -basic_light_curve = { - "MJD": np.linspace(1, 100, 100), - "ps_mag_intrinsic": np.sin(np.linspace(1, 100, 100) * np.pi / 10), -} - # This dictionary is designed to set the boundaries to draw random parameters from. # The bounds of any keys may be redefined using an "input_agn_bounds_dict". # :key black_hole_mass_exponent_bounds: mass of SMBH as log_(10)(M_{BH}/M_{sun}) @@ -155,6 +146,8 @@ def get_mean_mags(self, bands): # light curves across all bands. The simplest case os to provide a list of variable # light curves directly, but this will also work with other variability choices using # Source.SourceVariability.variability.Variability(variability_model) +# :key intrinsic_light_curve: List of light curve objects to randomly choose from. If +# None, then a bending power law signal will randomly be generated for a 1000 day period. agn_bounds_dict = { "black_hole_mass_exponent_bounds": (6.0, 10.0), "black_hole_spin_bounds": (-0.997, 0.997), @@ -163,7 +156,7 @@ def get_mean_mags(self, bands): "eddington_ratio_bounds": (0.01, 0.3), "supported_disk_models": ["thin_disk"], "driving_variability": ["light_curve"], - "intrinsic_light_curve": [basic_light_curve], + "intrinsic_light_curve": None, } @@ -237,6 +230,7 @@ def RandomAgn( # Check if there was a provided variabilty model. # If not, populate driving variability with a simple model if agn_driving_variability_model is None: + # Check if other driving variabilities were inserted into bounds dict and randomize random_variability_type = random.uniform( low=0, high=len(agn_bounds_dict["driving_variability"]) @@ -245,20 +239,48 @@ def RandomAgn( "driving_variability" ][int(random_variability_type)] - # Check if other light curves were inserted into bounds dict and randomize - random_light_curve_index = random.uniform( - low=0, high=len(agn_bounds_dict["intrinsic_light_curve"]) - ) - random_light_curve = agn_bounds_dict["intrinsic_light_curve"][ - int(random_light_curve_index) - ] + # Check if a list of other light curves were inserted into bounds dict and randomize + if input_agn_bounds_dict["intrinsic_light_curve"] is not None: + + random_light_curve_index = random.uniform( + low=0, high=len(input_agn_bounds_dict["intrinsic_light_curve"]) + ) + random_light_curve = input_agn_bounds_dict["intrinsic_light_curve"][ + int(random_light_curve_index) + ] - # Set magnitude - random_light_curve["ps_mag_intrinsic"] += known_mag + # Set magnitude + random_light_curve["ps_mag_intrinsic"] += known_mag + + # Define the driving variability model as the light curve to pass into AGN object + agn_driving_variability_model = "light_curve" + agn_driving_kwargs_variability = random_light_curve + + # If not, generate a bending power law signal from reasonable parameters + else: + if lightcurve_time is None: + length_of_required_light_curve = 1000 + lightcurve_time = np.linspace( + 0, + length_of_required_light_curve - 1, + length_of_required_light_curve, + ) + + length_of_required_light_curve = np.max(lightcurve_time) - np.min( + lightcurve_time + ) - # Define the driving variability model as the light curve to pass into AGN object - agn_driving_variability_model = "light_curve" - agn_driving_kwargs_variability = random_light_curve + low_freq_slope = random.uniform(0, 2.0) + random_driving_signal_kwargs = { + "length_of_light_curve": length_of_required_light_curve, + "time_resolution": 1, + "log_breakpoint_frequency": random.uniform(-0.5, -2.5), + "low_frequency_slope": low_freq_slope, + "high_frequency_slope": random.uniform(low_freq_slope, 4.0), + "standard_deviation": random.uniform(0.1, 1.0), + } + agn_driving_variability_model = "bending_power_law" + agn_driving_kwargs_variability = random_driving_signal_kwargs # Define initial speclite filter to be known band kwargs_agn_model["speclite_filter"] = known_band diff --git a/slsim/Util/astro_util.py b/slsim/Util/astro_util.py index e3c1ed793..fd3cd0e74 100644 --- a/slsim/Util/astro_util.py +++ b/slsim/Util/astro_util.py @@ -686,7 +686,7 @@ def generate_signal( (fourier_transform, fourier_transform[-2:0:-1].conjugate()) ) generated_light_curve = ifft(fourier_transform)[ - : length_of_light_curve // time_resolution + : int(length_of_light_curve / time_resolution) ] if normal_magnitude_variance is False: amplitude_baseline = magnitude_to_amplitude(mean_magnitude, zero_point_mag) @@ -761,7 +761,7 @@ def generate_signal_from_bending_power_law( :return: Two arrays, the time_array and the magnitude_array of the variability. """ time_array = np.linspace( - 0, length_of_light_curve - 1, length_of_light_curve // time_resolution + 0, length_of_light_curve - 1, int(length_of_light_curve / time_resolution) ) magnitude_array = generate_signal( length_of_light_curve, @@ -816,7 +816,7 @@ def generate_signal_from_generic_psd( variability. """ time_array = np.linspace( - 0, length_of_light_curve - 1, length_of_light_curve // time_resolution + 0, length_of_light_curve - 1, int(length_of_light_curve / time_resolution) ) magnitude_array = generate_signal( length_of_light_curve, diff --git a/tests/test_Source/test_agn.py b/tests/test_Source/test_agn.py index 015b15ec0..78b30ab39 100644 --- a/tests/test_Source/test_agn.py +++ b/tests/test_Source/test_agn.py @@ -200,6 +200,28 @@ def test_random_agn(): input_agn_bounds_dict=input_agn_bounds_dict, ) + light_curve_1 = { + "MJD": np.asarray([0, 1, 2, 3, 4, 5]), + "ps_mag_intrinsic": np.asarray([1, 0, -1, 0, 1, 0]), + } + light_curve_2 = { + "MJD": np.asarray([0, 1, 2, 3, 4, 5]), + "ps_mag_intrinsic": np.asarray([1, 0, 1, 0, 1, 0]), + } + input_agn_bounds_dict["intrinsic_light_curve"] = [light_curve_1, light_curve_2] + + random_agn_3 = RandomAgn( + i_band_string, + i_band_mag, + redshift, + random_seed=1, + lightcurve_time=lightcurve_time, + input_agn_bounds_dict=input_agn_bounds_dict, + ) + + # test initialization with minimal information + RandomAgn(i_band_string, i_band_mag, redshift) + # Test that we raise a warning in RandomAgn when no time axis is input with pytest.raises(ValueError): RandomAgn( @@ -214,6 +236,7 @@ def test_random_agn(): # check that a random value from the range [8.0, 8.0) must return 8.0 assert random_agn_2.kwargs_model["black_hole_mass_exponent"] == 8.0 + assert random_agn_3.kwargs_model["black_hole_mass_exponent"] == 8.0 # check the inclination is on range [0, 45) assert random_agn_2.kwargs_model["inclination_angle"] < 45.1