[3.12] gh-113841: fix possible undefined division by 0 in _Py_c_pow() (GH-127211) (GH-127216) #127530
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…_pow() (pythonGH-127211) (pythonGH-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 f7bb658) (cherry picked from commit f41d8d8) Co-authored-by: Miss Islington (bot) <[email protected]> Co-authored-by: Sergey B Kirpichev <[email protected]>
This was referenced Dec 2, 2024
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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 f7bb658)
(cherry picked from commit f41d8d8)
Co-authored-by: Miss Islington (bot) [email protected]
Co-authored-by: Sergey B Kirpichev [email protected]
_Py_c_pow()#113841