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Explicitly test these constant methods for special functions that cov… #54293

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Explicitly test these constant methods for special functions that cov… #54293

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Explicitly test these constant methods for special functions that cov…
kshyatt Apr 28, 2024
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kshyatt Apr 28, 2024
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134 changes: 134 additions & 0 deletions test/math.jl
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Expand Up @@ -352,6 +352,140 @@ end
end
end


# these methods, although invoked by other tests,
# aren't picked up by coverage, so we test them
# explicitly
@testset "Constants for special values" begin
# log
@test Base.Math.logb(Float32, Val(2)) == 1.4426950408889634
@test Base.Math.logb(Float32, Val(:ℯ)) == 1.0
@test Base.Math.logb(Float32, Val(10)) == 0.4342944819032518
@test Base.Math.logbU(Float64, Val(2)) == 1.4426950408889634
@test Base.Math.logbU(Float64, Val(:ℯ)) == 1.0
@test Base.Math.logbU(Float64, Val(10)) == 0.4342944819032518
@test Base.Math.logbL(Float64, Val(2)) == 2.0355273740931033e-17
@test Base.Math.logbL(Float64, Val(:ℯ)) == 0.0
@test Base.Math.logbL(Float64, Val(10)) == 1.098319650216765e-17
# hyperbolics
@test Base.Math.H_SMALL_X(Float64) == 2.0^-28
@test Base.Math.H_MEDIUM_X(Float64) == 22.0
@test Base.Math.H_LARGE_X(Float64) == 709.7822265633563
@test Base.Math.H_SMALL_X(Float32) == 2f-12
@test Base.Math.H_MEDIUM_X(Float32) == 9f0
@test Base.Math.H_LARGE_X(Float32) == 88.72283f0

@test Base.Math.SINH_SMALL_X(Float64) == 2.1
@test Base.Math.SINH_SMALL_X(Float32) == 3.0f0

@test Base.Math.TANH_LARGE_X(Float64) == 44.0
@test Base.Math.TANH_LARGE_X(Float32) == 18.0f0
@test Base.Math.TANH_SMALL_X(Float64) == 1.0
@test Base.Math.TANH_SMALL_X(Float32) == 1.3862944f0

@test Base.Math.AH_LN2(Float64) == 6.93147180559945286227e-01
@test Base.Math.AH_LN2(Float32) == 6.9314718246f-01

# exponentials
@test Base.Math.MAGIC_ROUND_CONST(Float64) == 6.755399441055744e15
@test Base.Math.MAGIC_ROUND_CONST(Float32) == 1.048576f7

@test Base.Math.MAX_EXP(Val(2), Float32) == 128.0f0
@test Base.Math.MAX_EXP(Val(2), Float64) == 1024.0
@test Base.Math.MAX_EXP(Val(:ℯ), Float32) == 88.72284f0
@test Base.Math.MAX_EXP(Val(:ℯ), Float64) == 709.7827128933841
@test Base.Math.MAX_EXP(Val(10), Float32) == 38.53184f0
@test Base.Math.MAX_EXP(Val(10), Float64) == 308.25471555991675

@test Base.Math.MIN_EXP(Val(2), Float32) == -150.0f0
@test Base.Math.MIN_EXP(Val(2), Float64) == -1075.0
@test Base.Math.MIN_EXP(Val(:ℯ), Float32) == -103.97208f0
@test Base.Math.MIN_EXP(Val(:ℯ), Float64) == -745.1332191019412
@test Base.Math.MIN_EXP(Val(10), Float32) == -45.1545f0
@test Base.Math.MIN_EXP(Val(10), Float64) == -323.60724533877976

@test Base.Math.SUBNORM_EXP(Val(2), Float32) == 126.00001f0
@test Base.Math.SUBNORM_EXP(Val(2), Float64) == 1022.0
@test Base.Math.SUBNORM_EXP(Val(:ℯ), Float32) == 87.33655f0
@test Base.Math.SUBNORM_EXP(Val(:ℯ), Float64) == 708.3964185322641
@test Base.Math.SUBNORM_EXP(Val(10), Float32) == 37.92978f0
@test Base.Math.SUBNORM_EXP(Val(10), Float64) == 307.6526555685887

@test Base.Math.LogBo256INV(Val(2), Float64) == 256.0
@test Base.Math.LogBo256INV(Val(:ℯ), Float64) == 369.3299304675746
@test Base.Math.LogBo256INV(Val(10), Float64) == 850.4135922911647

@test Base.Math.LogBo256U(Val(2), Float64) == -0.00390625
@test Base.Math.LogBo256U(Val(:ℯ), Float64) == -0.002707606173999011
@test Base.Math.LogBo256U(Val(10), Float64) == -0.0011758984204561784
@test Base.Math.LogBo256L(Val(2), Float64) == 0.0
@test Base.Math.LogBo256L(Val(:ℯ), Float64) == -6.327543041662719e-14
@test Base.Math.LogBo256L(Val(10), Float64) == -1.0624811566412999e-13

@test Base.Math.LogBINV(Val(2), Float32) == 1.0f0
@test Base.Math.LogBINV(Val(:ℯ), Float32) == 1.442695f0
@test Base.Math.LogBINV(Val(10), Float32) == 3.321928f0

@test Base.Math.LogBU(Val(2), Float32) == -1.0f0
@test Base.Math.LogBU(Val(:ℯ), Float32) == -0.69314575f0
@test Base.Math.LogBU(Val(10), Float32) == -0.3010254f0
@test Base.Math.LogBL(Val(2), Float32) == 0.0f0
@test Base.Math.LogBL(Val(:ℯ), Float32) == -1.4286068f-6
@test Base.Math.LogBL(Val(10), Float32) == -4.605039f-6

@test Base.Math.LogB(Val(2), Float16) == -1.0f0
@test Base.Math.LogB(Val(:ℯ), Float16) == -0.6931472f0
@test Base.Math.LogB(Val(10), Float16) == -0.30103f0

@test Base.Math.MAX_EXP(Float64) == 709.7827128933845 # log 2^1023*(2-2^-52)
@test Base.Math.MIN_EXP(Float64) == -37.42994775023705 # log 2^-54
@test Base.Math.MAX_EXP(Float32) == 88.72284f0 # log 2^127 *(2-2^-23)
@test Base.Math.MIN_EXP(Float32) == -17.32868f0 # log 2^-25
@test Base.Math.MAX_EXP(Float16) == Float16(11.09) # log 2^15 *(2-2^-10)
@test Base.Math.MIN_EXP(Float16) == -Float16(8.32) # log 2^-12

@test Base.Math.Ln2INV(Float64) == 1.4426950408889634
@test Base.Math.Ln2(Float64) == -0.6931471805599453
@test Base.Math.Ln2INV(Float32) == 1.442695f0
@test Base.Math.Ln2(Float32) == -0.6931472f0

# trigonometry
@test Base.Math.ATAN_1_O_2_HI(Float64) == 4.63647609000806093515e-01 # atan(0.5).hi
@test Base.Math.ATAN_2_O_2_HI(Float64) == 7.85398163397448278999e-01 # atan(1.0).hi
@test Base.Math.ATAN_3_O_2_HI(Float64) == 9.82793723247329054082e-01 # atan(1.5).hi
@test Base.Math.ATAN_INF_HI(Float64) == 1.57079632679489655800e+00 # atan(Inf).hi

@test Base.Math.ATAN_1_O_2_HI(Float32) == 4.6364760399f-01 # atan(0.5).hi
@test Base.Math.ATAN_2_O_2_HI(Float32) == 7.8539812565f-01 # atan(1.0).hi
@test Base.Math.ATAN_3_O_2_HI(Float32) == 9.8279368877f-01 # atan(1.5).hi
@test Base.Math.ATAN_INF_HI(Float32) == 1.5707962513f+00 # atan(Inf).hi

@test Base.Math.ATAN_1_O_2_LO(Float64) == 2.26987774529616870924e-17 # atan(0.5).lo
@test Base.Math.ATAN_2_O_2_LO(Float64) == 3.06161699786838301793e-17 # atan(1.0).lo
@test Base.Math.ATAN_3_O_2_LO(Float64) == 1.39033110312309984516e-17 # atan(1.5).lo
@test Base.Math.ATAN_INF_LO(Float64) == 6.12323399573676603587e-17 # atan(Inf).lo

@test Base.Math.ATAN_1_O_2_LO(Float32) == 5.0121582440f-09 # atan(0.5).lo
@test Base.Math.ATAN_2_O_2_LO(Float32) == 3.7748947079f-08 # atan(1.0).lo
@test Base.Math.ATAN_3_O_2_LO(Float32) == 3.4473217170f-08 # atan(1.5).lo
@test Base.Math.ATAN_INF_LO(Float32) == 7.5497894159f-08 # atan(Inf).lo

@test Base.Math.ATAN2_PI_LO(Float32) == -8.7422776573f-08
@test Base.Math.ATAN2_RATIO_BIT_SHIFT(Float32) == 23
@test Base.Math.ATAN2_RATIO_THRESHOLD(Float32) == 26

@test Base.Math.ATAN2_PI_LO(Float64) == 1.2246467991473531772E-16
@test Base.Math.ATAN2_RATIO_BIT_SHIFT(Float64) == 20
@test Base.Math.ATAN2_RATIO_THRESHOLD(Float64) == 60

@test Base.Math.PIO2_HI(Float32) == 1.5707962513f+00
@test Base.Math.PIO2_LO(Float32) == 7.5497894159f-08
@test Base.Math.PIO2_HI(Float64) == 1.57079632679489655800e+00
@test Base.Math.PIO2_LO(Float64) == 6.12323399573676603587e-17
@test Base.Math.ACOS_PI(Float32) == 3.1415925026f+00
@test Base.Math.ACOS_PI(Float64) == 3.14159265358979311600e+00
end

@testset "exponential functions" for T in (Float64, Float32, Float16)
for (func, invfunc) in ((exp2, log2), (exp, log), (exp10, log10))
@testset "$T $func accuracy" begin
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