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@testset "InfExtendedRealReal" begin | ||
@testset "Base" begin | ||
for (T, x) in ((Int, 1), (Float64, 1.0), (Rational{Int}, 2//3)) | ||
@inferred InfExtendedReal(T) | ||
@inferred InfExtendedReal(x) | ||
@inferred InfExtendedReal{T}(x) | ||
@inferred InfExtendedReal{T}(∞) | ||
@inferred InfExtendedReal{T}(-∞) | ||
@testset "Base" begin | ||
for (T, x) in ((Int, 1), (Float64, 1.0), (Rational{Int}, 2//3)) | ||
@inferred InfExtendedReal(T) | ||
@inferred InfExtendedReal(x) | ||
@inferred InfExtendedReal{T}(x) | ||
@inferred InfExtendedReal{T}(∞) | ||
@inferred InfExtendedReal{T}(-∞) | ||
end | ||
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# Specifically test that if a value can represent `Inf` it doesn't get wrapped in | ||
# `InfExtendedReal` | ||
@test InfExtendedReal(Int) === InfExtendedReal{Int} | ||
@test InfExtendedReal(Float64) === Float64 | ||
@test InfExtendedReal(Rational{Int}) === Rational{Int} | ||
@test InfExtendedReal(10) === InfExtendedReal{Int}(10) | ||
@test InfExtendedReal(10.0) === 10.0 | ||
@test InfExtendedReal(2//3) === 2//3 | ||
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@test InfExtendedReal{Int}(Inf) == InfExtendedReal{Int}(∞) | ||
@test InfExtendedReal{Float64}(InfExtendedReal{Int}(10)) === | ||
InfExtendedReal{Float64}(10.0) | ||
@test InfExtendedReal{Int}(InfExtendedReal{Int}(1)) === InfExtendedReal{Int}(1) | ||
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a = InfExtendedReal{Int}(1) | ||
inf = InfExtendedReal{Int}(∞) | ||
ninf = InfExtendedReal{Int}(-∞) | ||
@test posinf(typeof(a)) == inf | ||
@test neginf(typeof(a)) == ninf | ||
@test !isposinf(a) | ||
@test !isneginf(a) | ||
@test isposinf(inf) | ||
@test !isneginf(inf) | ||
@test !isposinf(ninf) | ||
@test isneginf(ninf) | ||
end | ||
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@testset "IO" begin | ||
x = InfExtendedReal{Int64}(2) | ||
i = InfExtendedReal{Int64}(∞) | ||
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@test string(x) == "InfExtendedReal{Int64}(2)" | ||
@test sprint(show, x, context=:compact=>true) == "2" | ||
@test sprint(show, x) == string(x) | ||
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@test string(i) == "InfExtendedReal{Int64}(∞)" | ||
@test sprint(show, i, context=:compact=>true) == "∞" | ||
@test sprint(show, i) == string(i) | ||
end | ||
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# Specifically test that if a value can represent `Inf` it doesn't get wrapped in | ||
# `InfExtendedReal` | ||
@test InfExtendedReal(Int) === InfExtendedReal{Int} | ||
@test InfExtendedReal(Float64) === Float64 | ||
@test InfExtendedReal(Rational{Int}) === Rational{Int} | ||
@test InfExtendedReal(10) === InfExtendedReal{Int}(10) | ||
@test InfExtendedReal(10.0) === 10.0 | ||
@test InfExtendedReal(2//3) === 2//3 | ||
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@test InfExtendedReal{Int}(Inf) == InfExtendedReal{Int}(∞) | ||
@test InfExtendedReal{Float64}(InfExtendedReal{Int}(10)) === | ||
InfExtendedReal{Float64}(10.0) | ||
@test InfExtendedReal{Int}(InfExtendedReal{Int}(1)) === InfExtendedReal{Int}(1) | ||
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a = InfExtendedReal{Int}(1) | ||
inf = InfExtendedReal{Int}(∞) | ||
ninf = InfExtendedReal{Int}(-∞) | ||
@test posinf(typeof(a)) == inf | ||
@test neginf(typeof(a)) == ninf | ||
@test !isposinf(a) | ||
@test !isneginf(a) | ||
@test isposinf(inf) | ||
@test !isneginf(inf) | ||
@test !isposinf(ninf) | ||
@test isneginf(ninf) | ||
end | ||
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#= | ||
@testset "arithmetic" begin | ||
@inferred -∞ | ||
@inferred InfExtendedReal 2 + ∞ | ||
@inferred ∞ + 2.3 | ||
@test_throws InfMinusInfError ∞+(-∞) | ||
@inferred InfExtendedReal 10 - ∞ | ||
@inferred InfExtendedReal 10.0 - ∞ | ||
@test_throws InfMinusInfError ∞-∞ | ||
@inferred InfExtendedReal 2 * ∞ | ||
@inferred ∞ * 1.0 | ||
@test_throws DivideError ∞ * 0 | ||
@inferred Float64 1 / ∞ | ||
@inferred Float64 1.2 / ∞ | ||
@inferred Float64 -1 / -∞ | ||
@inferred Float64 ∞ / 3 | ||
@inferred Float64 0 / ∞ | ||
@test typemin(InfExtendedReal{Int64}) == InfExtendedReal{Int64}(-∞) | ||
@test typemax(InfExtendedReal{Int64}) == InfExtendedReal{Int64}(∞) | ||
end | ||
@testset "comparisons" begin | ||
@test ∞ == ∞ | ||
@test ∞ == Inf | ||
@test InfExtendedReal(5) == 5 | ||
@test InfExtendedReal(7) == 7.0 | ||
@test InfExtendedReal(4) != InfExtendedReal(1) | ||
@test hash(∞) == hash(Inf) | ||
@test hash(InfExtendedReal{Int}(∞)) == hash(Inf) | ||
@test hash(InfExtendedReal(3)) == hash(3) | ||
@test isinf(∞) | ||
@test isinf(InfExtendedReal{Int}(∞)) | ||
@test !isinf(InfExtendedReal(9)) | ||
@test !isfinite(∞) | ||
@test !isfinite(InfExtendedReal{Int}(∞)) | ||
@test isfinite(InfExtendedReal(-4)) | ||
@test ∞ ≤ ∞ | ||
@test 1 ≤ ∞ | ||
@test -∞ ≤ -∞ | ||
@test !(∞ ≤ 0) | ||
@test !signbit(∞) | ||
@test signbit(-∞) | ||
@test !signbit(InfExtendedReal{Int}(∞)) | ||
@test signbit(InfExtendedReal{Int}(-∞)) | ||
@test !signbit(InfExtendedReal(20)) | ||
@test signbit(InfExtendedReal(-2)) | ||
@test sign(∞) == 1 | ||
@test sign(-∞) == -1 | ||
@test sign(InfExtendedReal{Int}(∞)) == 1 | ||
@test sign(InfExtendedReal{Int}(-∞)) == -1 | ||
@test sign(InfExtendedReal(3)) == 1 | ||
@test sign(InfExtendedReal(-99)) == -1 | ||
@test sign(InfExtendedReal(0)) == 0 | ||
@inferred sign(InfExtendedReal(2)) | ||
@inferred sign(InfExtendedReal{Int32}(∞)) | ||
end | ||
@testset "conversions" begin | ||
@test convert(Infinite, InfExtendedReal{Int}(∞)) === ∞ | ||
end | ||
=# | ||
@testset "Conversion" begin | ||
@test promote_type(Infinite, Float64) === InfExtendedReal(Float64) | ||
@test promote_type(InfExtendedReal{Int64}, InfExtendedReal{Float64}) === Float64 | ||
@test promote_type(InfExtendedReal{Int32}, InfExtendedReal{Int64}) === | ||
InfExtendedReal{Int64} | ||
@test promote_type(InfExtendedReal{Int64}, Float64) === Float64 | ||
@test promote_type(InfExtendedReal{Int64}, Infinite) === InfExtendedReal{Int64} | ||
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@test convert(Int64, InfExtendedReal{Float64}(2.0)) === 2 | ||
@test convert(Infinite, InfExtendedReal{Int}(∞)) === ∞ | ||
@test convert(InfExtendedReal{Int64}, 2.0) === InfExtendedReal{Int64}(2.0) | ||
@test convert(InfExtendedReal{Int64}, InfExtendedReal{Float64}(2.0)) === InfExtendedReal{Int64}(2.0) | ||
@test convert(InfExtendedReal{Int64}, ∞) == InfExtendedReal{Int64}(∞) | ||
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@test Float64(InfExtendedReal{Int64}(2)) === 2.0 | ||
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@test widen(InfExtendedReal{Int32}) === InfExtendedReal{Int64} | ||
@test big(InfExtendedReal{Int}) === InfExtendedReal{BigInt} | ||
@test big(InfExtendedReal{Int64}(2)) == InfExtendedReal{BigInt}(2) | ||
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@test float(InfExtendedReal{Int}) === Float64 | ||
@test float(InfExtendedReal) === Float64 | ||
end | ||
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@testset "comparisons" begin | ||
@test !isfinite(∞) | ||
@test !isfinite(InfExtendedReal{Int}(∞)) | ||
@test isfinite(InfExtendedReal(-4)) | ||
@test !isfinite(InfExtendedReal{Float64}(Inf)) | ||
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@test isinf(∞) | ||
@test isinf(InfExtendedReal{Int}(∞)) | ||
@test !isinf(InfExtendedReal(9)) | ||
@test isinf(InfExtendedReal{Float64}(Inf)) | ||
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@test ∞ == ∞ | ||
@test ∞ == Inf | ||
@test InfExtendedReal(5) == 5 | ||
@test InfExtendedReal(7) == 7.0 | ||
@test InfExtendedReal(4) != InfExtendedReal(1) | ||
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@test hash(∞) == hash(Inf) | ||
@test hash(InfExtendedReal{Int}(∞)) == hash(Inf) | ||
@test hash(InfExtendedReal(3)) == hash(3) | ||
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@test ∞ ≤ ∞ | ||
@test 1 ≤ ∞ | ||
@test -∞ ≤ -∞ | ||
@test !(∞ ≤ 0) | ||
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@test !signbit(∞) | ||
@test signbit(-∞) | ||
@test !signbit(InfExtendedReal{Int}(∞)) | ||
@test signbit(InfExtendedReal{Int}(-∞)) | ||
@test !signbit(InfExtendedReal(20)) | ||
@test signbit(InfExtendedReal(-2)) | ||
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@test sign(∞) == 1 | ||
@test sign(-∞) == -1 | ||
@test sign(InfExtendedReal{Int}(∞)) == 1 | ||
@test sign(InfExtendedReal{Int}(-∞)) == -1 | ||
@test sign(InfExtendedReal(3)) == 1 | ||
@test sign(InfExtendedReal(-99)) == -1 | ||
@test sign(InfExtendedReal(0)) == 0 | ||
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@inferred sign(InfExtendedReal(2)) | ||
@inferred sign(InfExtendedReal{Int32}(∞)) | ||
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@test isapprox(InfExtendedReal(2.000000001), InfExtendedReal(2.0000000004)) | ||
end | ||
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@testset "arithmetic" begin | ||
@inferred -∞ | ||
@inferred InfExtendedReal 2 + ∞ | ||
@inferred ∞ + 2.3 | ||
@test_throws InfMinusInfError ∞+(-∞) | ||
@inferred InfExtendedReal 10 - ∞ | ||
@inferred InfExtendedReal 10.0 - ∞ | ||
@test_throws InfMinusInfError ∞-∞ | ||
@inferred InfExtendedReal 2 * ∞ | ||
@inferred ∞ * 1.0 | ||
@test_throws DivideError ∞ * 0 | ||
@inferred Float64 1 / ∞ | ||
@inferred Float64 1.2 / ∞ | ||
@inferred Float64 -1 / -∞ | ||
@inferred Float64 ∞ / 3 | ||
@inferred Float64 0 / ∞ | ||
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@test typemin(InfExtendedReal{Int64}) == InfExtendedReal{Int64}(-∞) | ||
@test typemax(InfExtendedReal{Int64}) == InfExtendedReal{Int64}(∞) | ||
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@test +InfExtendedReal(2) == InfExtendedReal(2) | ||
@test -InfExtendedReal(2) == InfExtendedReal(-2) | ||
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@test InfExtendedReal(2) + InfExtendedReal(3) == InfExtendedReal(5) | ||
@test InfExtendedReal(3) - InfExtendedReal(2) == InfExtendedReal(1) | ||
@test InfExtendedReal(2) * InfExtendedReal(3) == InfExtendedReal(6) | ||
@test_throws DivideError InfExtendedReal(0) * InfExtendedReal{Int}(∞) | ||
@test InfExtendedReal(10) / InfExtendedReal(5) == InfExtendedReal(2) | ||
@test_throws DivideError InfExtendedReal{Int}(∞) / InfExtendedReal{Int}(∞) | ||
@test InfExtendedReal(10) / InfExtendedReal{Int}(∞) == InfExtendedReal(0) | ||
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@test abs(InfExtendedReal(-5)) == InfExtendedReal(5) | ||
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@test InfExtendedReal(1) // InfExtendedReal(0) == InfExtendedReal(1//0) | ||
@test InfExtendedReal(1) // 0 == InfExtendedReal(1//0) | ||
@test 1 // InfExtendedReal(0) == InfExtendedReal(1//0) | ||
end | ||
end |
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