72 lines
1.9 KiB
Julia
72 lines
1.9 KiB
Julia
# This file is a part of Julia. License is MIT: https://julialang.org/license
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# Floating point numbers - basic tests
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@test 4.00000000000001 ≈ 4.0
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@test 5.0 ≈ 4.999999999999993
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@test 4.000000002 ≉ 4.00300002
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# Other tolerance levels
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@test 4.32 ≈ 4.3 rtol=0.1 atol=0.01
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@test 1.001 ≈ 1.002 rtol=0.001 atol=0.0001
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@test 4.5 ≉ 4.9 rtol=0.001 atol=0.001
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# Complex numbers
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@test 1.0 + 1.0im ≈ 1.0 + 1.00000000000001im
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@test 0.9999999999999 + 1.0im ≈ 1.0 + 1.000000000000001im
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@test 0.9999 + 1.0im ≈ 1.0 + 1.1im rtol=0.0001 atol=1.1
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# Complex <-> reals
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@test 1.0 + 0im ≈ 1.0000000000001
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@test 0.9999999999999 ≈ 1.0 + 0im
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@test 1.0+1im ≉ 1.000000000000001
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# Comparing NaNs
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@test 4.0 ≉ NaN
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@test NaN ≉ 4.0
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@test complex(2.3,NaN) ≉ complex(NaN,2.3)
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@test NaN ≉ NaN
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@test complex(NaN,NaN) ≉ complex(NaN,NaN)
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@test complex(NaN,2.3) ≉ complex(NaN,2.3)
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@test complex(2.3,NaN) ≉ complex(2.3,NaN)
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# Comparing Infs
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@test Inf ≈ Inf
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@test Inf ≉ 1
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@test Inf ≉ -Inf
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@test complex(0.0,Inf) ≈ complex(0.0,Inf)
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@test complex(0.0,Inf) ≉ complex(0.0,-Inf)
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# Tests for integers and rationals
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@test 4 ≈ 4
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@test 4 ≈ 5 atol=1
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@test 4 ≉ 6 atol=1
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@test 4 ≉ 5
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@test 1//2+3im ≈ 1//2+3im
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@test 1//3 ≈ 0.33333333333333333
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@test 1//3 ≈ 0.3333 rtol=0.0001 atol=0.0001
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@test 1+1im ≈ 1im+1
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# Notably missing from this test suite at the moment
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# * Tests for other magnitudes of numbers - very small, very big, and combinations of small and big
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# * Tests for various odd combinations of types, e.g. x::Integer ≈ y::Rational
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# issue #12375:
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@test 1e17 ≉ 1
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# Tests for arrays:
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@test [1,2,3] ≈ [1,2,3+1e-9]
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@test [0,1] ≈ [1e-9, 1]
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@test [0,Inf] ≈ [0,Inf]
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@test [0,Inf] ≉ [0,-Inf]
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# issue #19936
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for elty in (Float16,Float32,Float64)
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nan = elty(NaN)
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half = elty(0.5)
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@test nan ≉ nan
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@test nan ≈ nan nans=true
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@test [half, nan, half] ≉ [half, nan, half]
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@test [half, nan, half] ≈ [half, nan, half] nans=true
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end
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