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ericphanson/exp.jl

Last active August 28, 2021 01:06
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Naive Julia port of rlibm32's exp implementation
Raw
exp.jl
# https://github.com/rutgers-apl/rlibm-32/blob/44560acbd2ee22242989bdac259ad3665fa85d06/source/float/exp.c
include("constants.jl")
function rlibm_exp_ported(x::Float32)
# u is fx.x in the original code
u = reinterpret(UInt32, x)
# Take care of special cases
if (0x42b17218 <= u <= 0xb3000000)
if u <= 0x7F800000
return 1f0/0f0
elseif u < 0x80000000
return 0f0/0f0
else
return 1f0
end
end
u <= 0x337fffff && return 1f0
if u >= 0xc2cff218
if u <= 0xFF800000
return 0f0
else
return 0f0/0f0
end
end
# Perform range reduction
xp = x * 92.332482616893656768297660164535045623779296875
N = trunc(Int32, xp)
N2 = N % Int32(64)
N2 += ifelse(N2 < 0, Int32(64), Int32(0))
N1 = N - N2
M = div(N1, Int32(64), RoundDown)
J = N2
R = x - N * 0.01083042469624914509729318723429969395510852336883544921875
# dU is dX.d in the original code
dU = reinterpret(UInt64, R)
# Find the polynomial coefficients to use.
index::UInt32 = ((dU & 0x03FFFFFFFFFFFFFF) >> Int32(51)) + Int32(1)
c = dU > 0x8000000000000000 ? expNegCoeffs[index] : expPosCoeffs[index]
y = evalpoly(R, c)
# // Perform output compensation
return Float32(y * ldexp(exp2JBy64[J+Int32(1)], M))
end
Raw
gistfile1.txt
const exp2JBy64 = (
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const expNegCoeffs = [
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