ValueError for `math.atan2(0.0, 0.0)` and `cmath.phase(0.0)` using icx

Bug report

Bug description:

The math function atan2 and the cmath function phase should not raise ValueError when their arguments are zero. This is true when building CPython using an officially supported compiler such as GCC:

>>> import math
>>> import cmath
>>> math.atan2(0.0, 0.0)
0.0
>>> cmath.phase(complex(0.0, 0.0))
0.0
>>> math.atan2(0.0, -0.0)
3.141592653589793
>>> cmath.phase(complex(-0.0, 0.0))
3.141592653589793

However, The C23 standard (ISO/IEC 9899:2024) in section 7.12.4.4 for atan2 states:

A domain error may occur if both arguments are zero.

The Intel math library version 2026.0.0 sets errno to EDOM for these cases. See also PR #152825. Thus:

>>> import math
>>> import cmath
>>> math.atan2(0.0, 0.0)
Traceback (most recent call last):
  File "<python-input-2>", line 1, in <module>
    math.atan2(0.0, 0.0)
    ~~~~~~~~~~^^^^^^^^^^
ValueError: math domain error
>>> cmath.phase(complex(0.0, 0.0))
Traceback (most recent call last):
  File "<python-input-3>", line 1, in <module>
    cmath.phase(complex(0.0, 0.0))
    ~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^
ValueError: math domain error
>>> math.atan2(0.0, -0.0)
Traceback (most recent call last):
  File "<python-input-4>", line 1, in <module>
    math.atan2(0.0, -0.0)
    ~~~~~~~~~~^^^^^^^^^^^
ValueError: math domain error
>>> cmath.phase(complex(-0.0, 0.0))
Traceback (most recent call last):
  File "<python-input-5>", line 1, in <module>
    cmath.phase(complex(-0.0, 0.0))
    ~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^
ValueError: math domain error

CPython versions tested on:

CPython main branch

Operating systems tested on:

Linux

Linked PRs

• gh-153148

先檢查 PR #152825 和連結的 PR #153148，因為它們似乎正在處理此報告。首先追蹤 math.atan2 和 cmath.phase 的 CPython 實作，並比較 icx 與 GCC 下的行為。當零值引數不再引發 ValueError，且保留文件中所述的 signed-zero 結果時，即表示完成。