[all-commits] [llvm/llvm-project] eed9b4: [libc][math][c23] Implement C23 math function asin...

[Mohamed Emad via All-commits]

  Branch: refs/heads/main
  Home:   https://github.com/llvm/llvm-project
  Commit: eed9b4e05810381d8655f40fe298abb2f90a95cf
      https://github.com/llvm/llvm-project/commit/eed9b4e05810381d8655f40fe298abb2f90a95cf
  Author: Mohamed Emad <hulxxv at gmail.com>
  Date:   2025-07-26 (Sat, 26 Jul 2025)

  Changed paths:
    M libc/config/linux/aarch64/entrypoints.txt
    M libc/config/linux/x86_64/entrypoints.txt
    M libc/docs/headers/math/index.rst
    M libc/include/math.yaml
    M libc/src/math/CMakeLists.txt
    A libc/src/math/asinpif16.h
    M libc/src/math/generic/CMakeLists.txt
    A libc/src/math/generic/asinpif16.cpp
    M libc/test/src/math/CMakeLists.txt
    A libc/test/src/math/asinpif16_test.cpp
    M libc/test/src/math/smoke/CMakeLists.txt
    A libc/test/src/math/smoke/asinpif16_test.cpp
    M libc/utils/MPFRWrapper/MPCommon.cpp
    M libc/utils/MPFRWrapper/MPCommon.h
    M libc/utils/MPFRWrapper/MPFRUtils.cpp
    M libc/utils/MPFRWrapper/MPFRUtils.h

  Log Message:
  -----------
  [libc][math][c23] Implement C23 math function asinpif16 (#146226)

The function is implemented using the following Taylor series that's
generated using [python-sympy](https://www.sympy.org/en/index.html), and
it is very accurate for |x| $$\in [0, 0.5]$$ and has been verified using
Geogebra. The range reduction is used for the rest range (0.5, 1].

$$
\frac{\arcsin(x)}{\pi} \approx 
\begin{aligned}[t]
    &  0.318309886183791x  \\
    & + 0.0530516476972984x^3 \\
    & + 0.0238732414637843x^5 \\
    & + 0.0142102627760621x^7 \\
    & + 0.00967087327815336x^9 \\
    & + 0.00712127941391293x^{11} \\
    & + 0.00552355646848375x^{13} \\
    & + 0.00444514782463692x^{15} \\
    & + 0.00367705242846804x^{17} \\
    & + 0.00310721681820837x^{19} + O(x^{21})
\end{aligned}
$$

## Geogebra graph

![28-06-2025-1913-eDP-1](https://github.com/user-attachments/assets/f70818e1-1b34-406e-962a-a30fdc909f18)

Closes #132210



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