logarithms.
-.. function:: log(x[, base])
+.. function:: log(x, base=None)
Returns the logarithm of *x* to the given *base*. If the *base* is not
specified, returns the natural logarithm of *x*. There is one branch cut, from 0
.. versionadded:: 3.2
-.. function:: log(x[, base])
+.. function:: log(x, base=None)
- With one argument, return the natural logarithm of *x* (to base *e*).
-
- With two arguments, return the logarithm of *x* to the given *base*,
- calculated as ``log(x)/log(base)``.
+ Return the logarithm of *x* to the given *base*.
+ If the *base* is not specified, returns the natural
+ logarithm (base *e*) of *x*.
.. function:: log1p(x)
self.ftest('log(1/e)', math.log(1/math.e), -1)
self.ftest('log(1)', math.log(1), 0)
self.ftest('log(e)', math.log(math.e), 1)
+ self.ftest('log(e, None)', math.log(math.e, None), 1)
self.ftest('log(32,2)', math.log(32,2), 5)
self.ftest('log(10**40, 10)', math.log(10**40, 10), 40)
self.ftest('log(10**40, 10**20)', math.log(10**40, 10**20), 2)
--- /dev/null
+:func:`~math.log` and :func:`~cmath.log` support default base=None values.
}
PyDoc_STRVAR(cmath_log__doc__,
-"log($module, z, base=<unrepresentable>, /)\n"
+"log($module, z, base=None, /)\n"
"--\n"
"\n"
"log(z[, base]) -> the logarithm of z to the given base.\n"
"\n"
-"If the base not specified, returns the natural logarithm (base e) of z.");
+"If the base is not specified or is None, returns the\n"
+"natural logarithm (base e) of z.");
#define CMATH_LOG_METHODDEF \
{"log", _PyCFunction_CAST(cmath_log), METH_FASTCALL, cmath_log__doc__},
{
PyObject *return_value = NULL;
Py_complex x;
- PyObject *y_obj = NULL;
+ PyObject *y_obj = Py_None;
if (!_PyArg_CheckPositional("log", nargs, 1, 2)) {
goto exit;
exit:
return return_value;
}
-/*[clinic end generated code: output=0146c656e67f5d5f input=a9049054013a1b77]*/
+/*[clinic end generated code: output=2630f8740909a8f7 input=a9049054013a1b77]*/
}
PyDoc_STRVAR(math_log__doc__,
-"log(x, [base=math.e])\n"
+"log($module, x, base=None, /)\n"
+"--\n"
+"\n"
"Return the logarithm of x to the given base.\n"
"\n"
-"If the base not specified, returns the natural logarithm (base e) of x.");
+"If the base is not specified or is None, returns the natural\n"
+"logarithm (base e) of x.");
#define MATH_LOG_METHODDEF \
- {"log", (PyCFunction)math_log, METH_VARARGS, math_log__doc__},
+ {"log", _PyCFunction_CAST(math_log), METH_FASTCALL, math_log__doc__},
static PyObject *
-math_log_impl(PyObject *module, PyObject *x, int group_right_1,
- PyObject *base);
+math_log_impl(PyObject *module, PyObject *x, PyObject *base);
static PyObject *
-math_log(PyObject *module, PyObject *args)
+math_log(PyObject *module, PyObject *const *args, Py_ssize_t nargs)
{
PyObject *return_value = NULL;
PyObject *x;
- int group_right_1 = 0;
- PyObject *base = NULL;
+ PyObject *base = Py_None;
- switch (PyTuple_GET_SIZE(args)) {
- case 1:
- if (!PyArg_ParseTuple(args, "O:log", &x)) {
- goto exit;
- }
- break;
- case 2:
- if (!PyArg_ParseTuple(args, "OO:log", &x, &base)) {
- goto exit;
- }
- group_right_1 = 1;
- break;
- default:
- PyErr_SetString(PyExc_TypeError, "math.log requires 1 to 2 arguments");
- goto exit;
+ if (!_PyArg_CheckPositional("log", nargs, 1, 2)) {
+ goto exit;
+ }
+ x = args[0];
+ if (nargs < 2) {
+ goto skip_optional;
}
- return_value = math_log_impl(module, x, group_right_1, base);
+ base = args[1];
+skip_optional:
+ return_value = math_log_impl(module, x, base);
exit:
return return_value;
exit:
return return_value;
}
-/*[clinic end generated code: output=899211ec70e4506c input=a9049054013a1b77]*/
+/*[clinic end generated code: output=afec63ebb0da709a input=a9049054013a1b77]*/
cmath.log
z as x: Py_complex
- base as y_obj: object = NULL
+ base as y_obj: object = None
/
log(z[, base]) -> the logarithm of z to the given base.
-If the base not specified, returns the natural logarithm (base e) of z.
+If the base is not specified or is None, returns the
+natural logarithm (base e) of z.
[clinic start generated code]*/
static PyObject *
cmath_log_impl(PyObject *module, Py_complex x, PyObject *y_obj)
-/*[clinic end generated code: output=4effdb7d258e0d94 input=230ed3a71ecd000a]*/
+/*[clinic end generated code: output=4effdb7d258e0d94 input=e7db51859ebf70bf]*/
{
Py_complex y;
errno = 0;
x = c_log(x);
- if (y_obj != NULL) {
+ if (y_obj != Py_None) {
y = PyComplex_AsCComplex(y_obj);
if (PyErr_Occurred()) {
return NULL;
math.log
x: object
- [
- base: object(c_default="NULL") = math.e
- ]
+ base: object = None
/
Return the logarithm of x to the given base.
-If the base not specified, returns the natural logarithm (base e) of x.
+If the base is not specified or is None, returns the natural
+logarithm (base e) of x.
[clinic start generated code]*/
static PyObject *
-math_log_impl(PyObject *module, PyObject *x, int group_right_1,
- PyObject *base)
-/*[clinic end generated code: output=7b5a39e526b73fc9 input=0f62d5726cbfebbd]*/
+math_log_impl(PyObject *module, PyObject *x, PyObject *base)
+/*[clinic end generated code: output=1dead263cbb1e854 input=ef032cc9837943e1]*/
{
PyObject *num, *den;
PyObject *ans;
num = loghelper(x, m_log);
- if (num == NULL || base == NULL)
+ if (num == NULL || base == Py_None)
return num;
den = loghelper(base, m_log);