Issue #7534: Fix handling of nans, infinities, and negative zero in **
operator, on IEEE 754 platforms. Thanks Marcos Donolo for original patch.
This commit is contained in:
Mark Dickinson
parent
569e61f351
commit
99d652ef66
|
|
@ -72,7 +72,7 @@ False
|
|||
>>> NAN >= 0
|
||||
False
|
||||
|
||||
All operations involving a NaN return a NaN except for the power of *0* and *1*.
|
||||
All operations involving a NaN return a NaN except for nan**0 and 1**nan.
|
||||
>>> 1 + NAN
|
||||
nan
|
||||
>>> 1 * NAN
|
||||
|
|
@ -81,8 +81,10 @@ nan
|
|||
nan
|
||||
>>> 1 ** NAN
|
||||
1.0
|
||||
>>> NAN ** 0
|
||||
1.0
|
||||
>>> 0 ** NAN
|
||||
0.0
|
||||
nan
|
||||
>>> (1.0 + FI.epsilon) * NAN
|
||||
nan
|
||||
|
||||
|
|
|
|||
|
|
@ -12,6 +12,11 @@ import sys
|
|||
INF = float("inf")
|
||||
NAN = float("nan")
|
||||
|
||||
# decorator for skipping tests on non-IEEE 754 platforms
|
||||
requires_IEEE_754 = unittest.skipUnless(
|
||||
float.__getformat__("double").startswith("IEEE"),
|
||||
"test requires IEEE 754 doubles")
|
||||
|
||||
#locate file with float format test values
|
||||
test_dir = os.path.dirname(__file__) or os.curdir
|
||||
format_testfile = os.path.join(test_dir, 'formatfloat_testcases.txt')
|
||||
|
|
@ -142,6 +147,213 @@ class GeneralFloatCases(unittest.TestCase):
|
|||
self.assertRaises(OverflowError, float('-inf').as_integer_ratio)
|
||||
self.assertRaises(ValueError, float('nan').as_integer_ratio)
|
||||
|
||||
def assertEqualAndEqualSign(self, a, b):
|
||||
# fail unless a == b and a and b have the same sign bit;
|
||||
# the only difference from assertEqual is that this test
|
||||
# distingishes -0.0 and 0.0.
|
||||
self.assertEqual((a, copysign(1.0, a)), (b, copysign(1.0, b)))
|
||||
|
||||
@requires_IEEE_754
|
||||
def test_float_pow(self):
|
||||
# test builtin pow and ** operator for IEEE 754 special cases.
|
||||
# Special cases taken from section F.9.4.4 of the C99 specification
|
||||
|
||||
for pow_op in pow, operator.pow:
|
||||
# x**NAN is NAN for any x except 1
|
||||
self.assertTrue(isnan(pow_op(-INF, NAN)))
|
||||
self.assertTrue(isnan(pow_op(-2.0, NAN)))
|
||||
self.assertTrue(isnan(pow_op(-1.0, NAN)))
|
||||
self.assertTrue(isnan(pow_op(-0.5, NAN)))
|
||||
self.assertTrue(isnan(pow_op(-0.0, NAN)))
|
||||
self.assertTrue(isnan(pow_op(0.0, NAN)))
|
||||
self.assertTrue(isnan(pow_op(0.5, NAN)))
|
||||
self.assertTrue(isnan(pow_op(2.0, NAN)))
|
||||
self.assertTrue(isnan(pow_op(INF, NAN)))
|
||||
self.assertTrue(isnan(pow_op(NAN, NAN)))
|
||||
|
||||
# NAN**y is NAN for any y except +-0
|
||||
self.assertTrue(isnan(pow_op(NAN, -INF)))
|
||||
self.assertTrue(isnan(pow_op(NAN, -2.0)))
|
||||
self.assertTrue(isnan(pow_op(NAN, -1.0)))
|
||||
self.assertTrue(isnan(pow_op(NAN, -0.5)))
|
||||
self.assertTrue(isnan(pow_op(NAN, 0.5)))
|
||||
self.assertTrue(isnan(pow_op(NAN, 1.0)))
|
||||
self.assertTrue(isnan(pow_op(NAN, 2.0)))
|
||||
self.assertTrue(isnan(pow_op(NAN, INF)))
|
||||
|
||||
# (+-0)**y raises ZeroDivisionError for y a negative odd integer
|
||||
self.assertRaises(ZeroDivisionError, pow_op, -0.0, -1.0)
|
||||
self.assertRaises(ZeroDivisionError, pow_op, 0.0, -1.0)
|
||||
|
||||
# (+-0)**y raises ZeroDivisionError for y finite and negative
|
||||
# but not an odd integer
|
||||
self.assertRaises(ZeroDivisionError, pow_op, -0.0, -2.0)
|
||||
self.assertRaises(ZeroDivisionError, pow_op, -0.0, -0.5)
|
||||
self.assertRaises(ZeroDivisionError, pow_op, 0.0, -2.0)
|
||||
self.assertRaises(ZeroDivisionError, pow_op, 0.0, -0.5)
|
||||
|
||||
# (+-0)**y is +-0 for y a positive odd integer
|
||||
self.assertEqualAndEqualSign(pow_op(-0.0, 1.0), -0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(0.0, 1.0), 0.0)
|
||||
|
||||
# (+-0)**y is 0 for y finite and positive but not an odd integer
|
||||
self.assertEqualAndEqualSign(pow_op(-0.0, 0.5), 0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-0.0, 2.0), 0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(0.0, 0.5), 0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(0.0, 2.0), 0.0)
|
||||
|
||||
# (-1)**+-inf is 1
|
||||
self.assertEqualAndEqualSign(pow_op(-1.0, -INF), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-1.0, INF), 1.0)
|
||||
|
||||
# 1**y is 1 for any y, even if y is an infinity or nan
|
||||
self.assertEqualAndEqualSign(pow_op(1.0, -INF), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(1.0, -2.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(1.0, -1.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(1.0, -0.5), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(1.0, -0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(1.0, 0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(1.0, 0.5), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(1.0, 1.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(1.0, 2.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(1.0, INF), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(1.0, NAN), 1.0)
|
||||
|
||||
# x**+-0 is 1 for any x, even if x is a zero, infinity, or nan
|
||||
self.assertEqualAndEqualSign(pow_op(-INF, 0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-2.0, 0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-1.0, 0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-0.5, 0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-0.0, 0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(0.0, 0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(0.5, 0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(1.0, 0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(2.0, 0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(INF, 0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(NAN, 0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-INF, -0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-2.0, -0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-1.0, -0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-0.5, -0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-0.0, -0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(0.0, -0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(0.5, -0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(1.0, -0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(2.0, -0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(INF, -0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(NAN, -0.0), 1.0)
|
||||
|
||||
# x**y raises ValueError for finite negative x and non-integral y
|
||||
self.assertRaises(ValueError, pow_op, -2.0, -0.5)
|
||||
self.assertRaises(ValueError, pow_op, -2.0, 0.5)
|
||||
self.assertRaises(ValueError, pow_op, -1.0, -0.5)
|
||||
self.assertRaises(ValueError, pow_op, -1.0, 0.5)
|
||||
self.assertRaises(ValueError, pow_op, -0.5, -0.5)
|
||||
self.assertRaises(ValueError, pow_op, -0.5, 0.5)
|
||||
|
||||
# x**-INF is INF for abs(x) < 1
|
||||
self.assertEqualAndEqualSign(pow_op(-0.5, -INF), INF)
|
||||
self.assertEqualAndEqualSign(pow_op(-0.0, -INF), INF)
|
||||
self.assertEqualAndEqualSign(pow_op(0.0, -INF), INF)
|
||||
self.assertEqualAndEqualSign(pow_op(0.5, -INF), INF)
|
||||
|
||||
# x**-INF is 0 for abs(x) > 1
|
||||
self.assertEqualAndEqualSign(pow_op(-INF, -INF), 0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-2.0, -INF), 0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(2.0, -INF), 0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(INF, -INF), 0.0)
|
||||
|
||||
# x**INF is 0 for abs(x) < 1
|
||||
self.assertEqualAndEqualSign(pow_op(-0.5, INF), 0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-0.0, INF), 0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(0.0, INF), 0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(0.5, INF), 0.0)
|
||||
|
||||
# x**INF is INF for abs(x) > 1
|
||||
self.assertEqualAndEqualSign(pow_op(-INF, INF), INF)
|
||||
self.assertEqualAndEqualSign(pow_op(-2.0, INF), INF)
|
||||
self.assertEqualAndEqualSign(pow_op(2.0, INF), INF)
|
||||
self.assertEqualAndEqualSign(pow_op(INF, INF), INF)
|
||||
|
||||
# (-INF)**y is -0.0 for y a negative odd integer
|
||||
self.assertEqualAndEqualSign(pow_op(-INF, -1.0), -0.0)
|
||||
|
||||
# (-INF)**y is 0.0 for y negative but not an odd integer
|
||||
self.assertEqualAndEqualSign(pow_op(-INF, -0.5), 0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-INF, -2.0), 0.0)
|
||||
|
||||
# (-INF)**y is -INF for y a positive odd integer
|
||||
self.assertEqualAndEqualSign(pow_op(-INF, 1.0), -INF)
|
||||
|
||||
# (-INF)**y is INF for y positive but not an odd integer
|
||||
self.assertEqualAndEqualSign(pow_op(-INF, 0.5), INF)
|
||||
self.assertEqualAndEqualSign(pow_op(-INF, 2.0), INF)
|
||||
|
||||
# INF**y is INF for y positive
|
||||
self.assertEqualAndEqualSign(pow_op(INF, 0.5), INF)
|
||||
self.assertEqualAndEqualSign(pow_op(INF, 1.0), INF)
|
||||
self.assertEqualAndEqualSign(pow_op(INF, 2.0), INF)
|
||||
|
||||
# INF**y is 0.0 for y negative
|
||||
self.assertEqualAndEqualSign(pow_op(INF, -2.0), 0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(INF, -1.0), 0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(INF, -0.5), 0.0)
|
||||
|
||||
# basic checks not covered by the special cases above
|
||||
self.assertEqualAndEqualSign(pow_op(-2.0, -2.0), 0.25)
|
||||
self.assertEqualAndEqualSign(pow_op(-2.0, -1.0), -0.5)
|
||||
self.assertEqualAndEqualSign(pow_op(-2.0, -0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-2.0, 0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-2.0, 1.0), -2.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-2.0, 2.0), 4.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-1.0, -2.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-1.0, -1.0), -1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-1.0, -0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-1.0, 0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-1.0, 1.0), -1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-1.0, 2.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(2.0, -2.0), 0.25)
|
||||
self.assertEqualAndEqualSign(pow_op(2.0, -1.0), 0.5)
|
||||
self.assertEqualAndEqualSign(pow_op(2.0, -0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(2.0, 0.0), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(2.0, 1.0), 2.0)
|
||||
self.assertEqualAndEqualSign(pow_op(2.0, 2.0), 4.0)
|
||||
|
||||
# 1 ** large and -1 ** large; some libms apparently
|
||||
# have problems with these
|
||||
self.assertEqualAndEqualSign(pow_op(1.0, -1e100), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(1.0, 1e100), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-1.0, -1e100), 1.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-1.0, 1e100), 1.0)
|
||||
|
||||
# check sign for results that underflow to 0
|
||||
self.assertEqualAndEqualSign(pow_op(-2.0, -2000.0), 0.0)
|
||||
self.assertRaises(ValueError, pow_op, -2.0, -2000.5)
|
||||
self.assertEqualAndEqualSign(pow_op(-2.0, -2001.0), -0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(2.0, -2000.0), 0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(2.0, -2000.5), 0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(2.0, -2001.0), 0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(-0.5, 2000.0), 0.0)
|
||||
self.assertRaises(ValueError, pow_op, -0.5, 2000.5)
|
||||
self.assertEqualAndEqualSign(pow_op(-0.5, 2001.0), -0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(0.5, 2000.0), 0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(0.5, 2000.5), 0.0)
|
||||
self.assertEqualAndEqualSign(pow_op(0.5, 2001.0), 0.0)
|
||||
|
||||
# check we don't raise an exception for subnormal results,
|
||||
# and validate signs. Tests currently disabled, since
|
||||
# they fail on systems where a subnormal result from pow
|
||||
# is flushed to zero (e.g. Debian/ia64.)
|
||||
#self.assertTrue(0.0 < pow_op(0.5, 1048) < 1e-315)
|
||||
#self.assertTrue(0.0 < pow_op(-0.5, 1048) < 1e-315)
|
||||
#self.assertTrue(0.0 < pow_op(0.5, 1047) < 1e-315)
|
||||
#self.assertTrue(0.0 > pow_op(-0.5, 1047) > -1e-315)
|
||||
#self.assertTrue(0.0 < pow_op(2.0, -1048) < 1e-315)
|
||||
#self.assertTrue(0.0 < pow_op(-2.0, -1048) < 1e-315)
|
||||
#self.assertTrue(0.0 < pow_op(2.0, -1047) < 1e-315)
|
||||
#self.assertTrue(0.0 > pow_op(-2.0, -1047) > -1e-315)
|
||||
|
||||
|
||||
class FormatFunctionsTestCase(unittest.TestCase):
|
||||
|
||||
def setUp(self):
|
||||
|
|
|
|||
|
|
@ -12,6 +12,10 @@ What's New in Python 2.7 alpha 2?
|
|||
Core and Builtins
|
||||
-----------------
|
||||
|
||||
- Issue #7534: Fix handling of IEEE specials (infinities, nans,
|
||||
negative zero) in ** operator. The behaviour now conforms to that
|
||||
described in C99 Annex F.
|
||||
|
||||
- Issue #7579: the msvcrt module now has docstrings for all its functions.
|
||||
|
||||
- Issue #7413: Passing '\0' as the separator to datetime.datetime.isoformat()
|
||||
|
|
|
|||
|
|
@ -791,10 +791,15 @@ float_floor_div(PyObject *v, PyObject *w)
|
|||
return r;
|
||||
}
|
||||
|
||||
/* determine whether x is an odd integer or not; assumes that
|
||||
x is not an infinity or nan. */
|
||||
#define DOUBLE_IS_ODD_INTEGER(x) (fmod(fabs(x), 2.0) == 1.0)
|
||||
|
||||
static PyObject *
|
||||
float_pow(PyObject *v, PyObject *w, PyObject *z)
|
||||
{
|
||||
double iv, iw, ix;
|
||||
int negate_result = 0;
|
||||
|
||||
if ((PyObject *)z != Py_None) {
|
||||
PyErr_SetString(PyExc_TypeError, "pow() 3rd argument not "
|
||||
|
|
@ -806,20 +811,56 @@ float_pow(PyObject *v, PyObject *w, PyObject *z)
|
|||
CONVERT_TO_DOUBLE(w, iw);
|
||||
|
||||
/* Sort out special cases here instead of relying on pow() */
|
||||
if (iw == 0) { /* v**0 is 1, even 0**0 */
|
||||
if (iw == 0) { /* v**0 is 1, even 0**0 */
|
||||
return PyFloat_FromDouble(1.0);
|
||||
}
|
||||
if (iv == 0.0) { /* 0**w is error if w<0, else 1 */
|
||||
if (Py_IS_NAN(iv)) { /* nan**w = nan, unless w == 0 */
|
||||
return PyFloat_FromDouble(iv);
|
||||
}
|
||||
if (Py_IS_NAN(iw)) { /* v**nan = nan, unless v == 1; 1**nan = 1 */
|
||||
return PyFloat_FromDouble(iv == 1.0 ? 1.0 : iw);
|
||||
}
|
||||
if (Py_IS_INFINITY(iw)) {
|
||||
/* v**inf is: 0.0 if abs(v) < 1; 1.0 if abs(v) == 1; inf if
|
||||
* abs(v) > 1 (including case where v infinite)
|
||||
*
|
||||
* v**-inf is: inf if abs(v) < 1; 1.0 if abs(v) == 1; 0.0 if
|
||||
* abs(v) > 1 (including case where v infinite)
|
||||
*/
|
||||
iv = fabs(iv);
|
||||
if (iv == 1.0)
|
||||
return PyFloat_FromDouble(1.0);
|
||||
else if ((iw > 0.0) == (iv > 1.0))
|
||||
return PyFloat_FromDouble(fabs(iw)); /* return inf */
|
||||
else
|
||||
return PyFloat_FromDouble(0.0);
|
||||
}
|
||||
if (Py_IS_INFINITY(iv)) {
|
||||
/* (+-inf)**w is: inf for w positive, 0 for w negative; in
|
||||
* both cases, we need to add the appropriate sign if w is
|
||||
* an odd integer.
|
||||
*/
|
||||
int iw_is_odd = DOUBLE_IS_ODD_INTEGER(iw);
|
||||
if (iw > 0.0)
|
||||
return PyFloat_FromDouble(iw_is_odd ? iv : fabs(iv));
|
||||
else
|
||||
return PyFloat_FromDouble(iw_is_odd ?
|
||||
copysign(0.0, iv) : 0.0);
|
||||
}
|
||||
if (iv == 0.0) { /* 0**w is: 0 for w positive, 1 for w zero
|
||||
(already dealt with above), and an error
|
||||
if w is negative. */
|
||||
int iw_is_odd = DOUBLE_IS_ODD_INTEGER(iw);
|
||||
if (iw < 0.0) {
|
||||
PyErr_SetString(PyExc_ZeroDivisionError,
|
||||
"0.0 cannot be raised to a negative power");
|
||||
"0.0 cannot be raised to a "
|
||||
"negative power");
|
||||
return NULL;
|
||||
}
|
||||
return PyFloat_FromDouble(0.0);
|
||||
}
|
||||
if (iv == 1.0) { /* 1**w is 1, even 1**inf and 1**nan */
|
||||
return PyFloat_FromDouble(1.0);
|
||||
/* use correct sign if iw is odd */
|
||||
return PyFloat_FromDouble(iw_is_odd ? iv : 0.0);
|
||||
}
|
||||
|
||||
if (iv < 0.0) {
|
||||
/* Whether this is an error is a mess, and bumps into libm
|
||||
* bugs so we have to figure it out ourselves.
|
||||
|
|
@ -829,33 +870,41 @@ float_pow(PyObject *v, PyObject *w, PyObject *z)
|
|||
"cannot be raised to a fractional power");
|
||||
return NULL;
|
||||
}
|
||||
/* iw is an exact integer, albeit perhaps a very large one.
|
||||
/* iw is an exact integer, albeit perhaps a very large
|
||||
* one. Replace iv by its absolute value and remember
|
||||
* to negate the pow result if iw is odd.
|
||||
*/
|
||||
iv = -iv;
|
||||
negate_result = DOUBLE_IS_ODD_INTEGER(iw);
|
||||
}
|
||||
|
||||
if (iv == 1.0) { /* 1**w is 1, even 1**inf and 1**nan */
|
||||
/* (-1) ** large_integer also ends up here. Here's an
|
||||
* extract from the comments for the previous
|
||||
* implementation explaining why this special case is
|
||||
* necessary:
|
||||
*
|
||||
* -1 raised to an exact integer should never be exceptional.
|
||||
* Alas, some libms (chiefly glibc as of early 2003) return
|
||||
* NaN and set EDOM on pow(-1, large_int) if the int doesn't
|
||||
* happen to be representable in a *C* integer. That's a
|
||||
* bug; we let that slide in math.pow() (which currently
|
||||
* reflects all platform accidents), but not for Python's **.
|
||||
*/
|
||||
if (iv == -1.0 && Py_IS_FINITE(iw)) {
|
||||
/* Return 1 if iw is even, -1 if iw is odd; there's
|
||||
* no guarantee that any C integral type is big
|
||||
* enough to hold iw, so we have to check this
|
||||
* indirectly.
|
||||
*/
|
||||
ix = floor(iw * 0.5) * 2.0;
|
||||
return PyFloat_FromDouble(ix == iw ? 1.0 : -1.0);
|
||||
}
|
||||
/* Else iv != -1.0, and overflow or underflow are possible.
|
||||
* Unless we're to write pow() ourselves, we have to trust
|
||||
* the platform to do this correctly.
|
||||
* bug.
|
||||
*/
|
||||
return PyFloat_FromDouble(negate_result ? -1.0 : 1.0);
|
||||
}
|
||||
|
||||
/* Now iv and iw are finite, iw is nonzero, and iv is
|
||||
* positive and not equal to 1.0. We finally allow
|
||||
* the platform pow to step in and do the rest.
|
||||
*/
|
||||
errno = 0;
|
||||
PyFPE_START_PROTECT("pow", return NULL)
|
||||
ix = pow(iv, iw);
|
||||
PyFPE_END_PROTECT(ix)
|
||||
Py_ADJUST_ERANGE1(ix);
|
||||
if (negate_result)
|
||||
ix = -ix;
|
||||
|
||||
if (errno != 0) {
|
||||
/* We don't expect any errno value other than ERANGE, but
|
||||
* the range of libm bugs appears unbounded.
|
||||
|
|
@ -867,6 +916,8 @@ float_pow(PyObject *v, PyObject *w, PyObject *z)
|
|||
return PyFloat_FromDouble(ix);
|
||||
}
|
||||
|
||||
#undef DOUBLE_IS_ODD_INTEGER
|
||||
|
||||
static PyObject *
|
||||
float_neg(PyFloatObject *v)
|
||||
{
|
||||
|
|
|
|||
Loading…
Reference in New Issue