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-rw-r--r--Modules/mathmodule.c25
1 files changed, 22 insertions, 3 deletions
diff --git a/Modules/mathmodule.c b/Modules/mathmodule.c
index 11d9b7418a2..71d9c1387f5 100644
--- a/Modules/mathmodule.c
+++ b/Modules/mathmodule.c
@@ -2008,13 +2008,11 @@ math.factorial
/
Find n!.
-
-Raise a ValueError if x is negative or non-integral.
[clinic start generated code]*/
static PyObject *
math_factorial(PyObject *module, PyObject *arg)
-/*[clinic end generated code: output=6686f26fae00e9ca input=713fb771677e8c31]*/
+/*[clinic end generated code: output=6686f26fae00e9ca input=366cc321df3d4773]*/
{
long x, two_valuation;
int overflow;
@@ -2163,6 +2161,27 @@ math_ldexp_impl(PyObject *module, double x, PyObject *i)
} else {
errno = 0;
r = ldexp(x, (int)exp);
+#ifdef _MSC_VER
+ if (DBL_MIN > r && r > -DBL_MIN) {
+ /* Denormal (or zero) results can be incorrectly rounded here (rather,
+ truncated). Fixed in newer versions of the C runtime, included
+ with Windows 11. */
+ int original_exp;
+ frexp(x, &original_exp);
+ if (original_exp > DBL_MIN_EXP) {
+ /* Shift down to the smallest normal binade. No bits lost. */
+ int shift = DBL_MIN_EXP - original_exp;
+ x = ldexp(x, shift);
+ exp -= shift;
+ }
+ /* Multiplying by 2**exp finishes the job, and the HW will round as
+ appropriate. Note: if exp < -DBL_MANT_DIG, all of x is shifted
+ to be < 0.5ULP of smallest denorm, so should be thrown away. If
+ exp is so very negative that ldexp underflows to 0, that's fine;
+ no need to check in advance. */
+ r = x*ldexp(1.0, (int)exp);
+ }
+#endif
if (isinf(r))
errno = ERANGE;
}