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broadcasting.jl
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broadcasting.jl
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# This file is part of TaylorSeries.jl, MIT licensed
#
using TaylorSeries
using Test
@testset "Broadcasting with Taylor1 expansions" begin
t = Taylor1(Int, 5)
# @test t .= t
@test t .== t
@test t .≈ t
@test t .!= (1 + t)
@test 1.0 .+ t == 1.0 + t
@test typeof(1.0 .+ t) == Taylor1{Float64}
@test 1.0 .+ [t] == [1.0 + t]
@test typeof(1.0 .+ [t]) == Vector{Taylor1{Float64}}
@test 1.0 .+ [t, 2t] == [1.0 + t, 1.0 + 2t]
@test [1.0,2.0] .+ [t 2t] == [1.0+t 1.0+2t; 2.0+t 2.0+2t]
@test [1.0] .+ t == t .+ [1.0] == [1.0 + t]
@test 1.0 .* t == t
@test typeof(1.0 .* t) == Taylor1{Float64}
st = sin(t)
@test st .== st
@test st == sin.(t)
@test st.(pi/3) == evaluate(st, pi/3)
@test st(pi/3) == evaluate.(st, pi/3)
@test st.([0.0, pi/3]) == evaluate(st, [0.0, pi/3])
# Nested Taylor1 tests
t = Taylor1(Int, 3)
ts = zero(t)
ts .= t
@test ts == t
@. ts = 3 * t^2 - 1
@test ts == 3 * t^2 - 1
tt = Taylor1([zero(t), one(t)], 2)
tts = zero(tt)
@test tt .== tt
@. tts = 3 * tt^2 - 1
@test tts == 3 * tt^2 - 1
ttt = Taylor1([zero(tt), one(tt)])
ttts = zero(ttt)
@test ttt .≈ ttt
@. ttts = 3 * ttt^2 - 1
@test ttts == -1
end
@testset "Broadcasting with HomogeneousPolynomial and TaylorN" begin
x, y = set_variables("x y", order=3)
xH = x[1]
yH = y[1]
@test xH .== xH
@test yH .≈ yH
@test xH .== xH
@test x[2] .== y[2]
xHs = zero(xH)
xHs .= xH
@test xHs == xH
@. xHs = 2 * xH + yH
@test xHs == 2 * xH + yH
@test 1 .* xH == xH
@test 1 .* [xH] == [xH]
@test [1] .* xH == xH .* [1] == [xH]
@test x .== x
@test y .≈ y
@test x .!= (1 + x)
p = zero(x)
p .= x
@test p == x
@. p = 1 + 2*x + 3x^2 - x * y
@test p == 1 + 2*x + 3*x^2 - x * y
@test 1.0 .+ x == 1.0 + x
@test y .+ x == y + x
@test typeof(big"1.0" .+ x) == TaylorN{BigFloat}
@test 1.0 .+ [x] == [1.0 + x]
@test typeof(1.0 .+ [y]) == Vector{TaylorN{Float64}}
@test 1.0 .+ [x, 2y] == [1.0 + x, 1.0 + 2y]
@test [1.0,2.0] .+ [x 2y] == [1.0+x 1.0+2y; 2.0+x 2.0+2y]
@test [1.0] .+ x == x .+ [1.0] == [1.0 + x]
@test 1.0 .* y == y
@test typeof(1.0 .* x .* y) == TaylorN{Float64}
end
@testset "Broadcasting with mixtures Taylor1{TalorN{T}}" begin
x, y = set_variables("x", numvars=2, order=6)
tN = Taylor1(TaylorN{Float64}, 3)
@test tN .== tN
@test tN .≈ tN
@test tN .!= (1 + tN)
@test 1.0 .+ tN == 1.0 + tN
@test typeof(1.0 .+ tN) == Taylor1{TaylorN{Float64}}
@test 1.0 .+ [tN] == [1.0 + tN]
@test typeof(1.0 .+ [tN]) == Vector{Taylor1{TaylorN{Float64}}}
@test 1.0 .+ [tN, 2tN] == [1.0 + tN, 1.0 + 2tN]
@test [1.0,2.0] .+ [tN 2tN] == [1.0+tN 1.0+2tN; 2.0+tN 2.0+2tN]
@test [1.0] .+ tN == tN .+ [1.0] == [1.0 + tN]
@test 1.0 .* tN == 1.0 * tN
@test typeof(1.0 .* tN) == Taylor1{TaylorN{Float64}}
tNs = zero(tN)
tNs .= tN
@test tNs == tN
@. tNs = y[1] * tN^2 - 1
@test tNs == y[1] * tN^2 - 1
@. tNs = y * tN^2 - 1
@test tNs == y * tN^2 - 1
end
@testset "Broadcasting with mixtures TaylorN{Talor1{T}}" begin
set_variables("x", numvars=2, order=6)
t = Taylor1(3)
xHt = HomogeneousPolynomial([one(t), zero(t)])
yHt = HomogeneousPolynomial([zero(t), t])
tN1 = TaylorN([HomogeneousPolynomial([t]),xHt,yHt^2])
@test tN1 .== tN1
@test tN1 .≈ tN1
@test tN1 .!= (1 + tN1)
@test 1.0 .+ tN1 == 1.0 + tN1
@test typeof(1.0 .+ tN1) == TaylorN{Taylor1{Float64}}
@test 1.0 .+ [tN1] == [1.0 + tN1]
@test typeof(1.0 .+ [tN1]) == Vector{TaylorN{Taylor1{Float64}}}
@test 1.0 .+ [tN1, 2tN1] == [1.0 + tN1, 1.0 + 2tN1]
@test [1.0, 2.0] .+ [tN1 2tN1] == [1.0+tN1 1.0+2tN1; 2.0+tN1 2.0+2tN1]
@test [1.0] .+ tN1 == tN1 .+ [1.0] == [1.0 + tN1]
@test 1.0 .* tN1 == tN1
@test typeof(1.0 .* tN1) == TaylorN{Taylor1{Float64}}
tN1s = zero(tN1)
tN1s .= tN1
@test tN1s == tN1
@. tN1s = t * tN1^2 - 1
@test tN1s == t * tN1^2 - 1
end