Average number of clock cycles needed by CORE-MATH functions (revision 55c872b, f5d9e09 for log2l, f8f982e for expl) on an Intel Xeon Silver 4214, with GCC 13.2.0, compared to GNU libc 2.37, the Intel Math Library from icx 2023.2.0 and LLVM libc (revision d099dbb):
Available CORE-MATH functions (under MIT license):
function | binary32 | binary64 | binary80 | binary128 |
acos | code | code | ||
acosh | code | code | ||
acospi | code | code | ||
asin | code | code | ||
asinh | code | code | ||
asinpi | code | code | ||
atan | code | code | ||
atan2 | code | code | ||
atan2pi | code | code | ||
atanh | code | code | ||
atanpi | code | code | ||
cbrt | code | code (proof) | code | |
cos | code | code | ||
cosh | code | code | ||
cospi | code | code | ||
erf | code | code | ||
erfc | code | code | ||
exp | code | code | code | |
exp10 | code | code | ||
exp10m1 | code | code | ||
exp2 | code | code | code | |
exp2m1 | code | code | ||
expm1 | code | code | ||
hypot | code | code | ||
lgamma | code | |||
log | code | code (with Gappa proof) | ||
log10 | code | code | ||
log10p1 | code | code | ||
log1p | code | code | ||
log2 | code | code | code | |
log2p1 | code | code | ||
pow | code | code | code | |
rsqrt | code | code | code | |
sin | code | code | ||
sincos | code | |||
sinh | code | code | ||
sinpi | code | code | ||
tan | code | code | ||
tanh | code | code | ||
tanpi | code | code | ||
tgamma | code |
Caption:
Notes:
Other correctly-rounded implementations:
function | binary32 | binary64 | binary80 | binary128 |
acos | rlibm llvm | crlibm | ||
acosh | llvm | |||
acospi | crlibm | |||
asin | rlibm llvm | crlibm | ||
asinh | llvm | |||
asinpi | crlibm | |||
atan | rlibm llvm | crlibm | ||
atan2 | llvm | |||
atan2pi | ||||
atanh | llvm | crlibm | ||
atanpi | crlibm | |||
cbrt | llvm | llvm | ||
cos | rlibm llvm,llvm | crlibm,llvm | ||
cosh | rlibm llvm llvm | crlibm | ||
cospi | rlibm,llvm | crlibm | ||
erf | llvm | |||
erfc | ||||
exp | rlibm llvm,llvm | crlibm, llvm | ||
exp10 | rlibm llvm | llvm | ||
exp10m1 | ||||
exp2 | rlibm llvm llvm llvm | crlibm, llvm | ||
exp2m1 | llvm | |||
expm1 | llvm,llvm | crlibm,llvm | ||
hypot | llvm,llvm | llvm | ||
lgamma | ||||
log | rlibm llvm | crlibm, llvm | ||
log10 | rlibm llvm | crlibm, llvm | ||
log10p1 | ||||
log1p | llvm | crlibm, llvm | ||
log2 | rlibm llvm | crlibm, llvm | ||
log2p1 | ||||
pow | llvm (see this) | crlibm (2) | ||
rsqrt | ||||
sin | rlibm llvm,llvm | crlibm,llvm | ||
sincos | llvm | llvm | ||
sinh | rlibm llvm llvm | crlibm | ||
sinpi | rlibm,llvm | crlibm | ||
tan | rlibm llvm,llvm | crlibm,llvm | ||
tanh | llvm llvm | |||
tanpi | crlibm | |||
tgamma |