[3.12] gh-113841: fix possible undefined division by 0 in _Py_c_pow() (GH-127211) (GH-127216) (GH-127530)
[3.13] gh-113841: fix possible undefined division by 0 in _Py_c_pow() (GH-127211) (GH-127216)
Note, that transformed expression is not an equivalent for original one (1/exp(-x) != exp(x) in general for floating-point numbers). Though, the difference seems to be ~1ULP for good libm implementations.
It's more interesting why division was used from beginning. Closest algorithm I've found (no error checks, of course;)) - it's Algorithm 190 from ACM: https://dl.acm.org/doi/10.1145/366663.366679. It uses subtraction in the exponent.
(cherry picked from commit
f7bb658124aba74be4c13f498bf46cfded710ef9)
(cherry picked from commit
f41d8d89e79d634895868656f50a0e16e339f9d6)
Co-authored-by: Sergey B Kirpichev <skirpichev@gmail.com>