Bump IntervalArithmetic to 0.22 (#57)

* Use \sqcup and \sqcap

* Comment out stuff with DecoratedIntervals

* Replace a.lo with inf(a) and similarly for .hi and sup

* More updates

* Bump minor version

* Replace == and === in tests with isequal_interval

* Fix CI to 1.10

* Bump IntervalBoxes version

* Replace Interval() with interval()

* Add eq function for testing bareinterval equality

* Add single-argument sqr_rev

* Add single-arg abs_rev

* Add NEWS.md

* Add single-argument versions of sin_rev and cos_rev

* Typo

* Remove usage of member symbol

* Fix mulrev_to_pair tests

* Add more single-variable versions

* Fix another isempty

* Correct fix for mul_rev_to_pair tests

* Tests passing

* Working for bare intervals

* Fix tests

* Fix test

.github/workflows/CI.yml

@@ -11,7 +11,7 @@ jobs:
       fail-fast: false
       matrix:
         version:
-          - '1'
+          - '1.10'
           - 'nightly'
         os:
           - ubuntu-latest

NEWS.md

@@ -0,0 +1,11 @@
+# IntervalContractors.jl NEWS.md
+
+## v0.5.0
+- Update to `IntervalArithmetic.jl` v0.22
+    - Use square versions of intersection and union symbols (available from v0.22.12)
+    - Some previous functions were removed from `IntervalArithmetic.jl`
+
+    - Adds a dependency on the separate `IntervalBoxes.jl` package (to replace the functionality removed from
+      `IntervalArithmetic.jl`)
+
+    - `Interval` now refers to a *decorated* interval

Project.toml

@@ -1,13 +1,15 @@
 name = "IntervalContractors"
 uuid = "15111844-de3b-5229-b4ba-526f2f385dc9"
-version = "0.4.7"
+version = "0.5.0"
 
 [deps]
 IntervalArithmetic = "d1acc4aa-44c8-5952-acd4-ba5d80a2a253"
+IntervalBoxes = "43d83c95-ebbb-40ec-8188-24586a1458ed"
 
 [compat]
-IntervalArithmetic = "0.16, 0.17, 0.18, 0.19, 0.20"
-julia = "1.3, 1.4, 1.5"
+IntervalArithmetic = "0.22.12"
+IntervalBoxes = "0.2"
+julia = "1"
 
 [extras]
 Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4"

README.md

@@ -18,10 +18,10 @@
 
 The reverse function of a function `f` calculates the (interval hull of) its inverse function, `f⁻¹`.
 
-For example, `sin_rev(Y::Interval, X::Interval)` calculates the (interval hull of) those `x ∈ X` such that `sin(x) ∈ Y`. This can also be thought of as an inverse function, calculating `X_new := sin⁻¹(Y) ∩ X`.
+For example, `sin_rev(Y::IntervalType, X::IntervalType)` calculates the (interval hull of) those `x ∈ X` such that `sin(x) ∈ Y`. This can also be thought of as an inverse function, calculating `X_new := sin⁻¹(Y) ⊓ X`.
 The return value is `(Y, X_new)`.
 
-Functions such as `mul_rev(C::Interval, A::Interval, B::Interval)` take three arguments, and correspond to `C = A * B`; they return `(C, A_new, B_new)`, with `A_new` and `B_new` similarly defined to be the corresponding inverse images of the multiplication operator in each component.
+Functions such as `mul_rev(C::IntervalType, A::IntervalType, B::IntervalType)` take three arguments, and correspond to `C = A * B`; they return `(C, A_new, B_new)`, with `A_new` and `B_new` similarly defined to be the corresponding inverse images of the multiplication operator in each component.
 
 ### Contractors
 

examples/examples.jl

@@ -5,19 +5,19 @@ function sawtooth(X::IntervalBox)
 
     x, y = X
 
-    x = x ∩ (-1..1)
-    y = y ∩ (-2..2)
+    x = x ⊓ interval(-1, 1)
+    y = y ⊓ interval(-2, 2)
 
-    y = y ∩ (2x)
-    x = x ∩ (y/2)
+    y = y ⊓ (2x)
+    x = x ⊓ (y / 2)
 
     return IntervalBox(x, y)
 end
 
 
 function constant_contractor(X, y_val)
     x, y = X
-    y = y ∩ Interval(y_val)
+    y = y ⊓ interval(y_val)
     return IntervalBox(x, y)
 end
 
@@ -26,8 +26,8 @@ end
 function add_one(X)  # y = x + 1
     x, y = X
 
-    y = y ∩ (x + 1)
-    x = x ∩ (y - 1)
+    y = y ⊓ (x + 1)
+    x = x ⊓ (y - 1)
 
     return IntervalBox(x, y)
 end
@@ -38,10 +38,10 @@ function cube0(X::IntervalBox)  # contractor for y=x^3, x>=0
 
     x, y = X
 
-    x = x ∩ (0..∞)
+    x = x ⊓ (interval(0, Inf))
 
-    y = y ∩ (x ^ 3)
-    x = x ∩ Interval(y.lo ^ (1/3), y.hi^(1/3))   # not rigorous!
+    y = y ⊓ (x ^ 3)
+    x = x ⊓ interval(inf(y) ^ (1/3), sup(y)^(1/3))   # not rigorous!
 
     return x × y
 end
@@ -53,7 +53,7 @@ odd(X::IntervalBox) = ( (x,y) = X; IntervalBox(-x, -y) )
 """
 
 cube_neg = symmetrise(cube0, odd)
-cube = cube0 ∪ cube_neg
+cube = cube0 ⊔ cube_neg
 
 ff(x) = x^2 - x^3
 
@@ -63,10 +63,10 @@ function ff(X::IntervalBox)
     a = x^2
     b = x^3
 
-    y = y ∩ (a - b)  # y = a - b
+    y = y ⊓ (a - b)  # y = a - b
 
-    a = a ∩ (y + b)
-    b = b ∩ (a - y)
+    a = a ⊓ (y + b)
+    b = b ⊓ (a - y)
 
     x, a = square(IntervalBox(x, a))
     x, b = cube(IntervalBox(x, b))

src/IntervalContractors.jl

@@ -1,5 +1,3 @@
-__precompile__(true)
-
 module IntervalContractors
 
 export plus_rev, minus_rev, inv_rev,
@@ -15,14 +13,28 @@ export plus_rev, minus_rev, inv_rev,
         mul_rev_IEEE1788, mul_rev_to_pair,
         pow_rev1, pow_rev2
 
-using IntervalArithmetic
+using IntervalArithmetic, IntervalArithmetic.Symbols
+using IntervalBoxes
+
+const IntervalType{T} = Union{Interval{T}, BareInterval{T}}
+
+# @generated
+# half_pi(::Type{T}) where {T <: IntervalType} = :(ExactReal(0.5) * convert($T, ExactReal(pi)))
+# @generated
+# two_pi(::Type{T}) where {T <: IntervalType} = :(ExactReal(2.0) * convert($T, ExactReal(pi)))
+
+@generated function half_pi(x::T) where {T <: IntervalType}
+    return ExactReal(0.5) * convert(T, ExactReal(pi))
+end
+
+@generated function two_pi(x::T) where {T <: IntervalType}
+    return ExactReal(2.0) * convert(T, ExactReal(pi))
+end
 
-const half_pi = IntervalArithmetic.half_pi(Float64)  # interval
-const two_pi = IntervalArithmetic.two_pi(Float64)  # interval
+@generated function pi_interval(x::T) where {T <: IntervalType}
+    return convert(T, ExactReal(pi))
+end
 
-#
-# Base.:∪(f::Function, g::Function) = X -> ( f(X) ∪ g(X) )
-# Base.:∩(f::Function, g::Function) = X -> ( f(X) ∩ g(X) )  # or f(g(X)) for contractors
 
 include("arithmetic.jl")
 include("transformations.jl")
@@ -33,7 +45,6 @@ include("inverse_trig.jl")
 include("hyperbolic.jl")
 include("inverse_hyperbolic.jl")
 include("extrema.jl")
-include("decorated.jl")
 
 """
 Dictionary mapping functions to their reverse functions.