/
accuracy.jl
173 lines (125 loc) · 5.19 KB
/
accuracy.jl
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MRANGE(::Type{Float64}) = 10000000
MRANGE(::Type{Float32}) = 10000
IntF(::Type{Float64}) = Int64
IntF(::Type{Float32}) = Int32
@testset "Accuracy (max error in ulp) for $T" for T in (Float32, Float64)
println("Accuracy tests for $T")
xx = map(T, vcat(-10:0.0002:10, -1000:0.1:1000))
fun_table = Dict(SLEEF.exp => Base.exp)
tol = 1
test_acc(T, fun_table, xx, tol)
xx = map(T, vcat(-10:0.0002:10, -1000:0.02:1000))
fun_table = Dict(SLEEF.asinh => Base.asinh, SLEEF.atanh => Base.atanh)
tol = 1
test_acc(T, fun_table, xx, tol)
xx = map(T, vcat(1:0.0002:10, 1:0.02:1000))
fun_table = Dict(SLEEF.acosh => Base.acosh)
tol = 1
test_acc(T, fun_table, xx, tol)
xx = T[]
for i = 1:10000
s = reinterpret(T, reinterpret(IntF(T), T(pi)/4 * i) - IntF(T)(20))
e = reinterpret(T, reinterpret(IntF(T), T(pi)/4 * i) + IntF(T)(20))
d = s
while d <= e
append!(xx, d)
d = reinterpret(T, reinterpret(IntF(T), d) + IntF(T)(1))
end
end
xx = append!(xx, -10:0.0002:10)
xx = append!(xx, -MRANGE(T):200.1:MRANGE(T))
fun_table = Dict(SLEEF.sin => Base.sin, SLEEF.cos => Base.cos, SLEEF.tan => Base.tan)
tol = 1
test_acc(T, fun_table, xx, tol)
fun_table = Dict(SLEEF.sin_fast => Base.sin, SLEEF.cos_fast => Base.cos, SLEEF.tan_fast => Base.tan)
tol = 4
test_acc(T, fun_table, xx, tol)
global sin_sincos_fast(x) = (SLEEF.sincos_fast(x))[1]
global cos_sincos_fast(x) = (SLEEF.sincos_fast(x))[2]
fun_table = Dict(sin_sincos_fast => Base.sin, cos_sincos_fast => Base.cos)
tol = 4
test_acc(T, fun_table, xx, tol)
global sin_sincos(x) = (SLEEF.sincos(x))[1]
global cos_sincos(x) = (SLEEF.sincos(x))[2]
fun_table = Dict(sin_sincos => Base.sin, cos_sincos => Base.cos)
tol = 1
test_acc(T, fun_table, xx, tol)
xx = map(T, vcat(-1:0.00002:1))
fun_table = Dict(SLEEF.asin_fast => Base.asin, SLEEF.acos_fast => Base.acos)
tol = 3
test_acc(T, fun_table, xx, tol)
fun_table = Dict(SLEEF.asin => asin, SLEEF.acos => Base.acos)
tol = 1
test_acc(T, fun_table, xx, tol)
xx = map(T, vcat(-10:0.0002:10, -10000:0.2:10000, -10000:0.201:10000))
fun_table = Dict(SLEEF.atan_fast => Base.atan)
tol = 3
test_acc(T, fun_table, xx, tol)
fun_table = Dict(SLEEF.atan => Base.atan)
tol = 1
test_acc(T, fun_table, xx, tol)
xx1 = map(Tuple{T,T}, [zip(-10:0.050:10, -10:0.050:10)...])
xx2 = map(Tuple{T,T}, [zip(-10:0.051:10, -10:0.052:10)...])
xx3 = map(Tuple{T,T}, [zip(-100:0.51:100, -100:0.51:100)...])
xx4 = map(Tuple{T,T}, [zip(-100:0.51:100, -100:0.52:100)...])
xx = vcat(xx1, xx2, xx3, xx4)
fun_table = Dict(SLEEF.atan_fast => Base.atan)
tol = 2.5
test_acc(T, fun_table, xx, tol)
fun_table = Dict(SLEEF.atan => Base.atan)
tol = 1
test_acc(T, fun_table, xx, tol)
xx = map(T, vcat(0.0001:0.0001:10, 0.001:0.1:10000, 1.1.^(-1000:1000), 2.1.^(-1000:1000)))
fun_table = Dict(SLEEF.log_fast => Base.log)
tol = 3
test_acc(T, fun_table, xx, tol)
fun_table = Dict(SLEEF.log => Base.log)
tol = 1
test_acc(T, fun_table, xx, tol)
xx = map(T, vcat(0.0001:0.0001:10, 0.0001:0.1:10000))
fun_table = Dict(SLEEF.log10 => Base.log10, SLEEF.log2 => Base.log2)
tol = 1
test_acc(T, fun_table, xx, tol)
xx = map(T, vcat(0.0001:0.0001:10, 0.0001:0.1:10000, 10.0.^-(0:0.02:300), -10.0.^-(0:0.02:300)))
fun_table = Dict(SLEEF.log1p => Base.log1p)
tol = 1
test_acc(T, fun_table, xx, tol)
xx1 = map(Tuple{T,T}, [(x,y) for x = -100:0.20:100, y = 0.1:0.20:100])[:]
xx2 = map(Tuple{T,T}, [(x,y) for x = -100:0.21:100, y = 0.1:0.22:100])[:]
xx3 = map(Tuple{T,T}, [(x,y) for x = 2.1, y = -1000:0.1:1000])
xx = vcat(xx1, xx2, xx2)
fun_table = Dict(SLEEF.pow => Base.:^)
tol = 1
test_acc(T, fun_table, xx, tol)
xx = map(T, vcat(-10000:0.2:10000, 1.1.^(-1000:1000), 2.1.^(-1000:1000)))
fun_table = Dict(SLEEF.cbrt_fast => Base.cbrt)
tol = 2
test_acc(T, fun_table, xx, tol)
fun_table = Dict(SLEEF.cbrt => Base.cbrt)
tol = 1
test_acc(T, fun_table, xx, tol)
xx = map(T, vcat(-10:0.0002:10, -120:0.023:1000, -1000:0.02:2000))
fun_table = Dict(SLEEF.exp2 => Base.exp2)
tol = 1
test_acc(T, fun_table, xx, tol)
xx = map(T, vcat(-10:0.0002:10, -35:0.023:1000, -300:0.01:300))
fun_table = Dict(SLEEF.exp10 => Base.exp10)
tol = 1
test_acc(T, fun_table, xx, tol)
xx = map(T, vcat(-10:0.0002:10, -1000:0.021:1000, -1000:0.023:1000,
10.0.^-(0:0.02:300), -10.0.^-(0:0.02:300), 10.0.^(0:0.021:300), -10.0.^-(0:0.021:300)))
fun_table = Dict(SLEEF.expm1 => Base.expm1)
tol = 2
test_acc(T, fun_table, xx, tol)
xx = map(T, vcat(-10:0.0002:10, -1000:0.02:1000))
fun_table = Dict(SLEEF.sinh => Base.sinh, SLEEF.cosh => Base.cosh, SLEEF.tanh => Base.tanh)
tol = 1
test_acc(T, fun_table, xx, tol)
@testset "xilogb at arbitrary values" begin
xd = Dict{T,Int}(T(1e-30) => -100, T(2.31e-11) => -36, T(-1.0) => 0, T(1.0) => 0,
T(2.31e11) => 37, T(1e30) => 99)
for (i,j) in xd
@test SLEEF.ilogb(i) === j
end
end
end