:func:`isnan(x) <isnan>` Check if *x* is a NaN (not a number)
:func:`ldexp(x, i) <ldexp>` ``x * (2**i)``, inverse of function :func:`frexp`
:func:`nextafter(x, y, steps) <nextafter>` Floating-point value *steps* steps after *x* towards *y*
+:func:`signbit(x) <signbit>` Check if *x* is a negative number
:func:`ulp(x) <ulp>` Value of the least significant bit of *x*
**Power, exponential and logarithmic functions**
Added the *steps* argument.
+.. function:: signbit(x)
+
+ Return ``True`` if the sign of *x* is negative and ``False`` otherwise.
+
+ This is useful to detect the sign bit of zeroes, infinities and NaNs.
+
+ .. versionadded:: next
+
+
.. function:: ulp(x)
Return the value of the least significant bit of the float *x*:
* Add :func:`math.isnormal` and :func:`math.issubnormal` functions.
(Contributed by Sergey B Kirpichev in :gh:`132908`.)
+* Add :func:`math.signbit` function.
+ (Contributed by Bénédikt Tran in :gh:`135853`.)
+
os.path
-------
# similarly, copysign(2., NAN) could be 2. or -2.
self.assertEqual(abs(math.copysign(2., NAN)), 2.)
+ def test_signbit(self):
+ self.assertRaises(TypeError, math.signbit)
+ self.assertRaises(TypeError, math.signbit, '1.0')
+
+ # C11, §7.12.3.6 requires signbit() to return a nonzero value
+ # if and only if the sign of its argument value is negative,
+ # but in practice, we are only interested in a boolean value.
+ self.assertIsInstance(math.signbit(1.0), bool)
+
+ for arg in [0., 1., INF, NAN]:
+ self.assertFalse(math.signbit(arg))
+ self.assertTrue(math.signbit(-arg))
+
def testCos(self):
self.assertRaises(TypeError, math.cos)
self.ftest('cos(-pi/2)', math.cos(-math.pi/2), 0, abs_tol=math.ulp(1))
args = ((-5, -5, 10), (1.5, 4611686018427387904, 2305843009213693952))
self.assertEqual(sumprod(*args), 0.0)
-
@requires_IEEE_754
@unittest.skipIf(HAVE_DOUBLE_ROUNDING,
"sumprod() accuracy not guaranteed on machines with double rounding")
with self.assertRaises(ValueError):
math.nextafter(1.0, INF, steps=-1)
-
@requires_IEEE_754
def test_ulp(self):
self.assertEqual(math.ulp(1.0), sys.float_info.epsilon)
--- /dev/null
+:mod:`math`: expose C99 :func:`~math.signbit` function to determine whether
+the sign bit of a floating-point value is set. Patch by Bénédikt Tran.
#define MATH_FLOOR_METHODDEF \
{"floor", (PyCFunction)math_floor, METH_O, math_floor__doc__},
+PyDoc_STRVAR(math_signbit__doc__,
+"signbit($module, x, /)\n"
+"--\n"
+"\n"
+"Return True if the sign of x is negative and False otherwise.");
+
+#define MATH_SIGNBIT_METHODDEF \
+ {"signbit", (PyCFunction)math_signbit, METH_O, math_signbit__doc__},
+
+static PyObject *
+math_signbit_impl(PyObject *module, double x);
+
+static PyObject *
+math_signbit(PyObject *module, PyObject *arg)
+{
+ PyObject *return_value = NULL;
+ double x;
+
+ if (PyFloat_CheckExact(arg)) {
+ x = PyFloat_AS_DOUBLE(arg);
+ }
+ else
+ {
+ x = PyFloat_AsDouble(arg);
+ if (x == -1.0 && PyErr_Occurred()) {
+ goto exit;
+ }
+ }
+ return_value = math_signbit_impl(module, x);
+
+exit:
+ return return_value;
+}
+
PyDoc_STRVAR(math_fsum__doc__,
"fsum($module, seq, /)\n"
"--\n"
exit:
return return_value;
}
-/*[clinic end generated code: output=44bba3a0a052a364 input=a9049054013a1b77]*/
+/*[clinic end generated code: output=4e3fa94d026f027b input=a9049054013a1b77]*/
"Return x - n*y where n*y is the closest integer multiple of y.\n"
"In the case where x is exactly halfway between two multiples of\n"
"y, the nearest even value of n is used. The result is always exact.")
+
+/*[clinic input]
+math.signbit
+
+ x: double
+ /
+
+Return True if the sign of x is negative and False otherwise.
+[clinic start generated code]*/
+
+static PyObject *
+math_signbit_impl(PyObject *module, double x)
+/*[clinic end generated code: output=20c5f20156a9b871 input=3d3493fbcb5bdb3e]*/
+{
+ return PyBool_FromLong(signbit(x));
+}
+
FUNC1D(sin, sin, 0,
"sin($module, x, /)\n--\n\n"
"Return the sine of x (measured in radians).",
MATH_POW_METHODDEF
MATH_RADIANS_METHODDEF
{"remainder", _PyCFunction_CAST(math_remainder), METH_FASTCALL, math_remainder_doc},
+ MATH_SIGNBIT_METHODDEF
{"sin", math_sin, METH_O, math_sin_doc},
{"sinh", math_sinh, METH_O, math_sinh_doc},
{"sqrt", math_sqrt, METH_O, math_sqrt_doc},