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DerivativeTest.jl
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module DerivativeTest
import Calculus
using Test
using Random
using ForwardDiff
using DiffTests
include(joinpath(dirname(@__FILE__), "utils.jl"))
Random.seed!(1)
########################
# test vs. Calculus.jl #
########################
const x = 1
for f in DiffTests.NUMBER_TO_NUMBER_FUNCS
println(" ...testing $f")
v = f(x)
d = ForwardDiff.derivative(f, x)
@test isapprox(d, Calculus.derivative(f, x), atol=FINITEDIFF_ERROR)
out = DiffResults.DiffResult(zero(v), zero(v))
out = ForwardDiff.derivative!(out, f, x)
@test isapprox(DiffResults.value(out), v)
@test isapprox(DiffResults.derivative(out), d)
end
for f in DiffTests.NUMBER_TO_ARRAY_FUNCS
println(" ...testing $f")
v = f(x)
d = ForwardDiff.derivative(f, x)
@test !(eltype(d) <: ForwardDiff.Dual)
@test isapprox(d, Calculus.derivative(f, x), atol=FINITEDIFF_ERROR)
out = similar(v)
out = ForwardDiff.derivative!(out, f, x)
@test isapprox(out, d)
out = DiffResults.DiffResult(similar(v), similar(d))
out = ForwardDiff.derivative!(out, f, x)
@test isapprox(DiffResults.value(out), v)
@test isapprox(DiffResults.derivative(out), d)
end
for f! in DiffTests.INPLACE_NUMBER_TO_ARRAY_FUNCS
println(" ...testing $f!")
m, n = 3, 2
y = fill(0.0, m, n)
f = x -> (tmp = similar(y, promote_type(eltype(y), typeof(x)), m, n); f!(tmp, x); tmp)
v = f(x)
cfg = ForwardDiff.DerivativeConfig(f!, y, x)
d = ForwardDiff.derivative(f, x)
fill!(y, 0.0)
@test isapprox(ForwardDiff.derivative(f!, y, x), d)
@test isapprox(v, y)
fill!(y, 0.0)
@test isapprox(ForwardDiff.derivative(f!, y, x, cfg), d)
@test isapprox(v, y)
out = similar(v)
fill!(y, 0.0)
ForwardDiff.derivative!(out, f!, y, x)
@test isapprox(out, d)
@test isapprox(v, y)
out = similar(v)
fill!(y, 0.0)
ForwardDiff.derivative!(out, f!, y, x, cfg)
@test isapprox(out, d)
@test isapprox(v, y)
out = DiffResults.DiffResult(similar(v), similar(d))
out = ForwardDiff.derivative!(out, f!, y, x)
@test isapprox(v, y)
@test isapprox(DiffResults.value(out), v)
@test isapprox(DiffResults.derivative(out), d)
out = DiffResults.DiffResult(similar(v), similar(d))
out = ForwardDiff.derivative!(out, f!, y, x, cfg)
@test isapprox(v, y)
@test isapprox(DiffResults.value(out), v)
@test isapprox(DiffResults.derivative(out), d)
end
@testset "exponential function at base zero" begin
@test (x -> ForwardDiff.derivative(y -> x^y, -0.5))(0.0) === -Inf
@test (x -> ForwardDiff.derivative(y -> x^y, 0.0))(0.0) === -Inf
@test (x -> ForwardDiff.derivative(y -> x^y, 0.5))(0.0) === 0.0
@test (x -> ForwardDiff.derivative(y -> x^y, 1.5))(0.0) === 0.0
end
@testset "dimension error for derivative" begin
@test_throws DimensionMismatch ForwardDiff.derivative(sum, fill(2pi, 3))
end
@testset "function that calls a floating point constructor" begin
@test ForwardDiff.derivative(x->2*Float32(x), 3) === 2f0
end
end # module