Return the exponential value \code{e**\var{x}}.
\end{funcdesc}
-\begin{funcdesc}{log}{x}
-Return the natural logarithm of \var{x}.
+\begin{funcdesc}{log}{x\optional{, base}}
+Returns the logarithm of \var{x} to the given \var{base}.
+If the \var{base} is not specified, returns the natural logarithm of \var{x}.
There is one branch cut, from 0 along the negative real axis to
-\infinity, continuous from above.
+\versionchanged[\var{base} argument added]{2.4}
\end{funcdesc}
\begin{funcdesc}{log10}{x}
static Py_complex c_log(Py_complex);
static Py_complex c_prodi(Py_complex);
static Py_complex c_sqrt(Py_complex);
+static PyObject * math_error(void);
static Py_complex
return r;
}
-PyDoc_STRVAR(c_log_doc,
-"log(x)\n"
-"\n"
-"Return the natural logarithm of x.");
-
static Py_complex
c_log10(Py_complex x)
"\n"
"Return the hyperbolic tangent of x.");
+static PyObject *
+cmath_log(PyObject *self, PyObject *args)
+{
+ Py_complex x;
+ Py_complex y;
+
+ if (!PyArg_ParseTuple(args, "D|D", &x, &y))
+ return NULL;
+
+ errno = 0;
+ PyFPE_START_PROTECT("complex function", return 0)
+ x = c_log(x);
+ if (PyTuple_GET_SIZE(args) == 2)
+ x = c_quot(x, c_log(y));
+ PyFPE_END_PROTECT(x)
+ if (errno != 0)
+ return math_error();
+ Py_ADJUST_ERANGE2(x.real, x.imag);
+ return PyComplex_FromCComplex(x);
+}
+
+PyDoc_STRVAR(cmath_log_doc,
+"log(x[, base]) -> the logarithm of x to the given base.\n\
+If the base not specified, returns the natural logarithm (base e) of x.");
+
/* And now the glue to make them available from Python: */
FUNC1(cmath_cos, c_cos)
FUNC1(cmath_cosh, c_cosh)
FUNC1(cmath_exp, c_exp)
-FUNC1(cmath_log, c_log)
FUNC1(cmath_log10, c_log10)
FUNC1(cmath_sin, c_sin)
FUNC1(cmath_sinh, c_sinh)
{"cos", cmath_cos, METH_VARARGS, c_cos_doc},
{"cosh", cmath_cosh, METH_VARARGS, c_cosh_doc},
{"exp", cmath_exp, METH_VARARGS, c_exp_doc},
- {"log", cmath_log, METH_VARARGS, c_log_doc},
+ {"log", cmath_log, METH_VARARGS, cmath_log_doc},
{"log10", cmath_log10, METH_VARARGS, c_log10_doc},
{"sin", cmath_sin, METH_VARARGS, c_sin_doc},
{"sinh", cmath_sinh, METH_VARARGS, c_sinh_doc},