522 changes: 418 additions & 104 deletions libc/docs/math/index.rst
View file
Original file line number Diff line number Diff line change
Expand Up @@ -68,128 +68,442 @@ Add a new math function to LLVM libc
Implementation Status
=====================

* To check math functions enabled for Linux:

- `linux-x86_64 <https://github.com/llvm/llvm-project/tree/main/libc/config/linux/x86_64/entrypoints.txt>`_

- `linux-aarch64 <https://github.com/llvm/llvm-project/tree/main/libc/config/linux/aarch64/entrypoints.txt>`_

- `linux-aarch32 <https://github.com/llvm/llvm-project/tree/main/libc/config/linux/arm/entrypoints.txt>`_

- `linux-riscv64 <https://github.com/llvm/llvm-project/tree/main/libc/config/linux/riscv64/entrypoints.txt>`_

* To check math functions enabled for Windows:

- `windows-x86_64 <https://github.com/llvm/llvm-project/tree/main/libc/config/windows/entrypoints.txt>`_

- windows-aarch64 - to be added

* To check math functions enabled for macOS:

- `darwin-x86_64 <https://github.com/llvm/llvm-project/tree/main/libc/config/darwin/x86_64/entrypoints.txt>`_

- `darwin-aarch64 <https://github.com/llvm/llvm-project/tree/main/libc/config/darwin/arm/entrypoints.txt>`_

* To check math functions enabled for GPU:

- `gpu-entrypoints <https://github.com/llvm/llvm-project/tree/main/libc/config/gpu/entrypoints.txt>`_

* To check math functions enabled for embedded system:

- `barebone-aarch32 <https://github.com/llvm/llvm-project/tree/main/libc/config/baremetal/arm/entrypoints.txt>`_

- barebone-riscv32 - to be added

Basic Operations
----------------

============== ================ =============== ======================
<Func> <Func_f> (float) <Func> (double) <Func_l> (long double)
============== ================ =============== ======================
ceil :green:`XA` :green:`XA` :green:`XA`
copysign :green:`XA` :green:`XA` :green:`XA`
fabs :green:`XA` :green:`XA` :green:`XA`
fdim :green:`XA` :green:`XA` :green:`XA`
floor :green:`XA` :green:`XA` :green:`XA`
fmax :green:`XA` :green:`XA` :green:`XA`
fmin :green:`XA` :green:`XA` :green:`XA`
fmod :green:`XA` :green:`XA`
fpclassify
frexp :green:`XA` :green:`XA` :green:`XA`
ilogb :green:`XA` :green:`XA` :green:`XA`
isfinite
isgreater
isgreaterequal
isinf
isless
islessequal
islessgreater
isnan
isnormal
isubordered
ldexp :green:`XA` :green:`XA` :green:`XA`
llrint :green:`XA` :green:`XA` :green:`XA`
llround :green:`XA` :green:`XA` :green:`XA`
logb :green:`XA` :green:`XA` :green:`XA`
lrint :green:`XA` :green:`XA` :green:`XA`
lround :green:`XA` :green:`XA` :green:`XA`
modf :green:`XA` :green:`XA` :green:`XA`
nan
nearbyint :green:`XA` :green:`XA` :green:`XA`
nextafter :green:`XA` :green:`XA` :green:`XA`
nexttoward
remainder :green:`XA` :green:`XA` :green:`XA`
remquo :green:`XA` :green:`XA` :green:`XA`
rint :green:`XA` :green:`XA` :green:`XA`
round :green:`XA` :green:`XA` :green:`XA`
scalbn :green:`XA` :green:`XA` :green:`XA`
signbit
trunc :green:`XA` :green:`XA` :green:`XA`
============== ================ =============== ======================
+--------------+---------------------------------------+-------------------+-------------------+-------------------+-------------------+
| <Func> | Linux | Windows | MacOS | Embedded | GPU |
| +---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| | x86_64 | aarch64 | aarch32 | riscv64 | x86_64 | aarch64 | x86_64 | aarch64 | aarch32 | riscv32 | AMD | nVidia |
+==============+=========+=========+=========+=========+=========+=========+=========+=========+=========+=========+=========+=========+
| ceil | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| ceilf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| ceill | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| copysign | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| copysignf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| copysignl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fabs | |check| | |check| | |check| | |check| | |check| | | | |check| | |check| | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fabsf | |check| | |check| | |check| | |check| | |check| | | | |check| | |check| | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fabsl | |check| | |check| | |check| | |check| | |check| | | | |check| | |check| | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fdim | |check| | |check| | |check| | |check| | |check| | | | |check| | |check| | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fdimf | |check| | |check| | |check| | |check| | |check| | | | |check| | |check| | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fdiml | |check| | |check| | |check| | |check| | |check| | | | |check| | |check| | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| floor | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| floorf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| floorl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fmax | |check| | |check| | |check| | |check| | |check| | | | |check| | |check| | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fmaxf | |check| | |check| | |check| | |check| | |check| | | | |check| | |check| | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fmaxl | |check| | |check| | |check| | |check| | |check| | | | |check| | |check| | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fmin | |check| | |check| | |check| | |check| | |check| | | | |check| | |check| | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fminf | |check| | |check| | |check| | |check| | |check| | | | |check| | |check| | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fminl | |check| | |check| | |check| | |check| | |check| | | | |check| | |check| | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fmod | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fmodf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fmodl | | | | | | | | | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| frexp | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| frexpf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| frexpl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| ilogb | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| ilogbf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| ilogbl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| ldexp | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| ldexpf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| ldexpl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| llrint | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| llrintf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| llrintl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| llround | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| llroundf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| llroundl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| logb | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| logbf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| logbl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| lrint | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| lrintf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| lrintl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| lround | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| lroundf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| lroundl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| modf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| modff | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| modfl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| nan | | | | | | | | | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| nanf | | | | | | | | | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| nanl | | | | | | | | | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| nearbyint | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| nearbyintf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| nearbyintl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| nextafter | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| nextafterf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| nextafterl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| nexttoward | | | | | | | | | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| nexttowardf | | | | | | | | | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| nexttowardl | | | | | | | | | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| remainder | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| remainderf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| remainderl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| remquo | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| remquof | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| remquol | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| rint | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| rintf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| rintl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| round | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| roundf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| roundl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| scalbn | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| scalbnf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| scalbnl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| trunc | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| truncf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| truncl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+--------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+


Higher Math Functions
---------------------

============== ================ =============== ======================
<Func> <Func_f> (float) <Func> (double) <Func_l> (long double)
============== ================ =============== ======================
acos :green:`XA`
acosh :green:`XA`
asin :green:`XA`
asinh :green:`XA`
atan :green:`XA`
atan2
atanh :green:`XA`
cbrt
cos :green:`XA` :green:`XA`
cosh :green:`XA`
erf
erfc
exp :green:`XA`
exp10 :green:`XA`
exp2 :green:`XA`
expm1 :green:`XA`
fma :green:`XA` :green:`XA`
hypot :green:`XA` :green:`XA`
lgamma
log :green:`XA`
log10 :green:`XA` :green:`XA`
log1p :green:`XA`
log2 :green:`XA`
pow
sin :green:`XA` :green:`XA`
sincos :green:`XA` :green:`XA`
sinh :green:`XA`
sqrt :green:`XA` :green:`XA` :green:`XA`
tan :green:`XA`
tanh :green:`XA`
tgamma
============== ================ =============== ======================
+------------+---------------------------------------+-------------------+-------------------+-------------------+-------------------+
| <Func> | Linux | Windows | MacOS | Embedded | GPU |
| +---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| | x86_64 | aarch64 | aarch32 | riscv64 | x86_64 | aarch64 | x86_64 | aarch64 | aarch32 | riscv32 | AMD | nVidia |
+============+=========+=========+=========+=========+=========+=========+=========+=========+=========+=========+=========+=========+
| acos | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| acosf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| acosl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| acosh | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| acoshf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| acoshl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| asin | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| asinf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| asinl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| asinh | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| asinhf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| asinhl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| atan | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| atanf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| atanl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| atan2 | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| atan2f | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| atan2l | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| atanh | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| atanhf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| atanhl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| cbrt | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| cbrtf | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| cbrtl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| cos | |check| | | | | |check| | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| cosf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| cosl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| cosh | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| coshf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| coshl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| erf | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| erff | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| erfl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| erfc | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| erfcf | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| erfcl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| exp | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| expf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| expl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| exp10 | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| exp10f | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| exp10l | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| exp2 | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| exp2f | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| exp2l | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| expm1 | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| expm1f | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| expm1l | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fma | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fmaf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| fmal | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| hypot | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| hypotf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| hypotl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| lgamma | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| lgammaf | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| lgammal | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| log | |check| | |check| | | | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| logf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| logl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| log10 | |check| | |check| | | | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| log10f | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| log10l | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| log1p | |check| | |check| | | | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| log1pf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| log1pl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| log2 | |check| | |check| | | | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| log2f | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| log2l | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| pow | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| powf | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| powl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| sin | |check| | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| sinf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| sinl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| sincos | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| sincosf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| sincosl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| sinh | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| sinhf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| sinhl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| sqrt | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| sqrtf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| sqrtl | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| tan | |check| | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| tanf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| tanl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| tanh | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| tanhf | |check| | |check| | | |check| | |check| | | | |check| | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| tanhl | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| tgamma | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| tgammaf | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+
| tgammal | | | | | | | | | | | | |
+------------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+


Accuracy of Higher Math Functions
=================================

============== ================ =============== ======================
<Func> <Func_f> (float) <Func> (double) <Func_l> (long double)
============== ================ =============== ======================
acos :green:`XA`
acosh :green:`XA`
asin :green:`XA`
asinh :green:`XA`
atan :green:`XA`
atanh :green:`XA`
cos :green:`XA` large
cosh :green:`XA`
exp :green:`XA`
exp10 :green:`XA`
exp2 :green:`XA`
expm1 :green:`XA`
fma :green:`XA` :green:`XA`
hypot :green:`XA` :green:`XA`
log :green:`XA`
log10 :green:`XA` :green:`XA`
log1p :green:`XA`
log2 :green:`XA`
sin :green:`XA` large
sincos :green:`XA` large
sinh :green:`XA`
sqrt :green:`XA` :green:`XA` :green:`XA`
tan :green:`XA`
tanh :green:`XA`
acos |check|
acosh |check|
asin |check|
asinh |check|
atan |check|
atanh |check|
cos |check| large
cosh |check|
exp |check|
exp10 |check|
exp2 |check|
expm1 |check|
fma |check| |check|
hypot |check| |check|
log |check| |check|
log10 |check| |check|
log1p |check| |check|
log2 |check| |check|
sin |check| large
sincos |check| large
sinh |check|
sqrt |check| |check| |check|
tan |check|
tanh |check|
============== ================ =============== ======================


Legends:

* `X` = x86_64, `A` = aarch64, `a` = arm32
* Green text (eg. :green:`XA`): correctly rounded for all 4 rounding modes.
* |check| : correctly rounded for all 4 rounding modes.
* CR: correctly rounded for the default rounding mode (round-to-the-nearest,
tie-to-even).
* x ULPs: largest errors recorded.
Expand Down