Issue #20152: Convert the cmath module to Argument Clinic.
diff --git a/Modules/clinic/cmathmodule.c.h b/Modules/clinic/cmathmodule.c.h
new file mode 100644
index 0000000..7d6e04b
--- /dev/null
+++ b/Modules/clinic/cmathmodule.c.h
@@ -0,0 +1,851 @@
+/*[clinic input]
+preserve
+[clinic start generated code]*/
+
+PyDoc_STRVAR(cmath_acos__doc__,
+"acos($module, z, /)\n"
+"--\n"
+"\n"
+"Return the arc cosine of z.");
+
+#define CMATH_ACOS_METHODDEF    \
+    {"acos", (PyCFunction)cmath_acos, METH_VARARGS, cmath_acos__doc__},
+
+static Py_complex
+cmath_acos_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_acos(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+    Py_complex _return_value;
+
+    if (!PyArg_ParseTuple(args,
+        "D:acos",
+        &z))
+        goto exit;
+    /* modifications for z */
+    errno = 0; PyFPE_START_PROTECT("complex function", goto exit);
+    _return_value = cmath_acos_impl(module, z);
+    PyFPE_END_PROTECT(_return_value);
+    if (errno == EDOM) {
+        PyErr_SetString(PyExc_ValueError, "math domain error");
+        goto exit;
+    }
+    else if (errno == ERANGE) {
+        PyErr_SetString(PyExc_OverflowError, "math range error");
+        goto exit;
+    }
+    else {
+        return_value = PyComplex_FromCComplex(_return_value);
+    }
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_acosh__doc__,
+"acosh($module, z, /)\n"
+"--\n"
+"\n"
+"Return the hyperbolic arccosine of z.");
+
+#define CMATH_ACOSH_METHODDEF    \
+    {"acosh", (PyCFunction)cmath_acosh, METH_VARARGS, cmath_acosh__doc__},
+
+static Py_complex
+cmath_acosh_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_acosh(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+    Py_complex _return_value;
+
+    if (!PyArg_ParseTuple(args,
+        "D:acosh",
+        &z))
+        goto exit;
+    /* modifications for z */
+    errno = 0; PyFPE_START_PROTECT("complex function", goto exit);
+    _return_value = cmath_acosh_impl(module, z);
+    PyFPE_END_PROTECT(_return_value);
+    if (errno == EDOM) {
+        PyErr_SetString(PyExc_ValueError, "math domain error");
+        goto exit;
+    }
+    else if (errno == ERANGE) {
+        PyErr_SetString(PyExc_OverflowError, "math range error");
+        goto exit;
+    }
+    else {
+        return_value = PyComplex_FromCComplex(_return_value);
+    }
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_asin__doc__,
+"asin($module, z, /)\n"
+"--\n"
+"\n"
+"Return the arc sine of z.");
+
+#define CMATH_ASIN_METHODDEF    \
+    {"asin", (PyCFunction)cmath_asin, METH_VARARGS, cmath_asin__doc__},
+
+static Py_complex
+cmath_asin_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_asin(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+    Py_complex _return_value;
+
+    if (!PyArg_ParseTuple(args,
+        "D:asin",
+        &z))
+        goto exit;
+    /* modifications for z */
+    errno = 0; PyFPE_START_PROTECT("complex function", goto exit);
+    _return_value = cmath_asin_impl(module, z);
+    PyFPE_END_PROTECT(_return_value);
+    if (errno == EDOM) {
+        PyErr_SetString(PyExc_ValueError, "math domain error");
+        goto exit;
+    }
+    else if (errno == ERANGE) {
+        PyErr_SetString(PyExc_OverflowError, "math range error");
+        goto exit;
+    }
+    else {
+        return_value = PyComplex_FromCComplex(_return_value);
+    }
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_asinh__doc__,
+"asinh($module, z, /)\n"
+"--\n"
+"\n"
+"Return the hyperbolic arc sine of z.");
+
+#define CMATH_ASINH_METHODDEF    \
+    {"asinh", (PyCFunction)cmath_asinh, METH_VARARGS, cmath_asinh__doc__},
+
+static Py_complex
+cmath_asinh_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_asinh(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+    Py_complex _return_value;
+
+    if (!PyArg_ParseTuple(args,
+        "D:asinh",
+        &z))
+        goto exit;
+    /* modifications for z */
+    errno = 0; PyFPE_START_PROTECT("complex function", goto exit);
+    _return_value = cmath_asinh_impl(module, z);
+    PyFPE_END_PROTECT(_return_value);
+    if (errno == EDOM) {
+        PyErr_SetString(PyExc_ValueError, "math domain error");
+        goto exit;
+    }
+    else if (errno == ERANGE) {
+        PyErr_SetString(PyExc_OverflowError, "math range error");
+        goto exit;
+    }
+    else {
+        return_value = PyComplex_FromCComplex(_return_value);
+    }
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_atan__doc__,
+"atan($module, z, /)\n"
+"--\n"
+"\n"
+"Return the arc tangent of z.");
+
+#define CMATH_ATAN_METHODDEF    \
+    {"atan", (PyCFunction)cmath_atan, METH_VARARGS, cmath_atan__doc__},
+
+static Py_complex
+cmath_atan_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_atan(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+    Py_complex _return_value;
+
+    if (!PyArg_ParseTuple(args,
+        "D:atan",
+        &z))
+        goto exit;
+    /* modifications for z */
+    errno = 0; PyFPE_START_PROTECT("complex function", goto exit);
+    _return_value = cmath_atan_impl(module, z);
+    PyFPE_END_PROTECT(_return_value);
+    if (errno == EDOM) {
+        PyErr_SetString(PyExc_ValueError, "math domain error");
+        goto exit;
+    }
+    else if (errno == ERANGE) {
+        PyErr_SetString(PyExc_OverflowError, "math range error");
+        goto exit;
+    }
+    else {
+        return_value = PyComplex_FromCComplex(_return_value);
+    }
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_atanh__doc__,
+"atanh($module, z, /)\n"
+"--\n"
+"\n"
+"Return the hyperbolic arc tangent of z.");
+
+#define CMATH_ATANH_METHODDEF    \
+    {"atanh", (PyCFunction)cmath_atanh, METH_VARARGS, cmath_atanh__doc__},
+
+static Py_complex
+cmath_atanh_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_atanh(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+    Py_complex _return_value;
+
+    if (!PyArg_ParseTuple(args,
+        "D:atanh",
+        &z))
+        goto exit;
+    /* modifications for z */
+    errno = 0; PyFPE_START_PROTECT("complex function", goto exit);
+    _return_value = cmath_atanh_impl(module, z);
+    PyFPE_END_PROTECT(_return_value);
+    if (errno == EDOM) {
+        PyErr_SetString(PyExc_ValueError, "math domain error");
+        goto exit;
+    }
+    else if (errno == ERANGE) {
+        PyErr_SetString(PyExc_OverflowError, "math range error");
+        goto exit;
+    }
+    else {
+        return_value = PyComplex_FromCComplex(_return_value);
+    }
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_cos__doc__,
+"cos($module, z, /)\n"
+"--\n"
+"\n"
+"Return the cosine of z.");
+
+#define CMATH_COS_METHODDEF    \
+    {"cos", (PyCFunction)cmath_cos, METH_VARARGS, cmath_cos__doc__},
+
+static Py_complex
+cmath_cos_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_cos(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+    Py_complex _return_value;
+
+    if (!PyArg_ParseTuple(args,
+        "D:cos",
+        &z))
+        goto exit;
+    /* modifications for z */
+    errno = 0; PyFPE_START_PROTECT("complex function", goto exit);
+    _return_value = cmath_cos_impl(module, z);
+    PyFPE_END_PROTECT(_return_value);
+    if (errno == EDOM) {
+        PyErr_SetString(PyExc_ValueError, "math domain error");
+        goto exit;
+    }
+    else if (errno == ERANGE) {
+        PyErr_SetString(PyExc_OverflowError, "math range error");
+        goto exit;
+    }
+    else {
+        return_value = PyComplex_FromCComplex(_return_value);
+    }
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_cosh__doc__,
+"cosh($module, z, /)\n"
+"--\n"
+"\n"
+"Return the hyperbolic cosine of z.");
+
+#define CMATH_COSH_METHODDEF    \
+    {"cosh", (PyCFunction)cmath_cosh, METH_VARARGS, cmath_cosh__doc__},
+
+static Py_complex
+cmath_cosh_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_cosh(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+    Py_complex _return_value;
+
+    if (!PyArg_ParseTuple(args,
+        "D:cosh",
+        &z))
+        goto exit;
+    /* modifications for z */
+    errno = 0; PyFPE_START_PROTECT("complex function", goto exit);
+    _return_value = cmath_cosh_impl(module, z);
+    PyFPE_END_PROTECT(_return_value);
+    if (errno == EDOM) {
+        PyErr_SetString(PyExc_ValueError, "math domain error");
+        goto exit;
+    }
+    else if (errno == ERANGE) {
+        PyErr_SetString(PyExc_OverflowError, "math range error");
+        goto exit;
+    }
+    else {
+        return_value = PyComplex_FromCComplex(_return_value);
+    }
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_exp__doc__,
+"exp($module, z, /)\n"
+"--\n"
+"\n"
+"Return the exponential value e**z.");
+
+#define CMATH_EXP_METHODDEF    \
+    {"exp", (PyCFunction)cmath_exp, METH_VARARGS, cmath_exp__doc__},
+
+static Py_complex
+cmath_exp_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_exp(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+    Py_complex _return_value;
+
+    if (!PyArg_ParseTuple(args,
+        "D:exp",
+        &z))
+        goto exit;
+    /* modifications for z */
+    errno = 0; PyFPE_START_PROTECT("complex function", goto exit);
+    _return_value = cmath_exp_impl(module, z);
+    PyFPE_END_PROTECT(_return_value);
+    if (errno == EDOM) {
+        PyErr_SetString(PyExc_ValueError, "math domain error");
+        goto exit;
+    }
+    else if (errno == ERANGE) {
+        PyErr_SetString(PyExc_OverflowError, "math range error");
+        goto exit;
+    }
+    else {
+        return_value = PyComplex_FromCComplex(_return_value);
+    }
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_log10__doc__,
+"log10($module, z, /)\n"
+"--\n"
+"\n"
+"Return the base-10 logarithm of z.");
+
+#define CMATH_LOG10_METHODDEF    \
+    {"log10", (PyCFunction)cmath_log10, METH_VARARGS, cmath_log10__doc__},
+
+static Py_complex
+cmath_log10_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_log10(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+    Py_complex _return_value;
+
+    if (!PyArg_ParseTuple(args,
+        "D:log10",
+        &z))
+        goto exit;
+    /* modifications for z */
+    errno = 0; PyFPE_START_PROTECT("complex function", goto exit);
+    _return_value = cmath_log10_impl(module, z);
+    PyFPE_END_PROTECT(_return_value);
+    if (errno == EDOM) {
+        PyErr_SetString(PyExc_ValueError, "math domain error");
+        goto exit;
+    }
+    else if (errno == ERANGE) {
+        PyErr_SetString(PyExc_OverflowError, "math range error");
+        goto exit;
+    }
+    else {
+        return_value = PyComplex_FromCComplex(_return_value);
+    }
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_sin__doc__,
+"sin($module, z, /)\n"
+"--\n"
+"\n"
+"Return the sine of z.");
+
+#define CMATH_SIN_METHODDEF    \
+    {"sin", (PyCFunction)cmath_sin, METH_VARARGS, cmath_sin__doc__},
+
+static Py_complex
+cmath_sin_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_sin(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+    Py_complex _return_value;
+
+    if (!PyArg_ParseTuple(args,
+        "D:sin",
+        &z))
+        goto exit;
+    /* modifications for z */
+    errno = 0; PyFPE_START_PROTECT("complex function", goto exit);
+    _return_value = cmath_sin_impl(module, z);
+    PyFPE_END_PROTECT(_return_value);
+    if (errno == EDOM) {
+        PyErr_SetString(PyExc_ValueError, "math domain error");
+        goto exit;
+    }
+    else if (errno == ERANGE) {
+        PyErr_SetString(PyExc_OverflowError, "math range error");
+        goto exit;
+    }
+    else {
+        return_value = PyComplex_FromCComplex(_return_value);
+    }
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_sinh__doc__,
+"sinh($module, z, /)\n"
+"--\n"
+"\n"
+"Return the hyperbolic sine of z.");
+
+#define CMATH_SINH_METHODDEF    \
+    {"sinh", (PyCFunction)cmath_sinh, METH_VARARGS, cmath_sinh__doc__},
+
+static Py_complex
+cmath_sinh_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_sinh(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+    Py_complex _return_value;
+
+    if (!PyArg_ParseTuple(args,
+        "D:sinh",
+        &z))
+        goto exit;
+    /* modifications for z */
+    errno = 0; PyFPE_START_PROTECT("complex function", goto exit);
+    _return_value = cmath_sinh_impl(module, z);
+    PyFPE_END_PROTECT(_return_value);
+    if (errno == EDOM) {
+        PyErr_SetString(PyExc_ValueError, "math domain error");
+        goto exit;
+    }
+    else if (errno == ERANGE) {
+        PyErr_SetString(PyExc_OverflowError, "math range error");
+        goto exit;
+    }
+    else {
+        return_value = PyComplex_FromCComplex(_return_value);
+    }
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_sqrt__doc__,
+"sqrt($module, z, /)\n"
+"--\n"
+"\n"
+"Return the square root of z.");
+
+#define CMATH_SQRT_METHODDEF    \
+    {"sqrt", (PyCFunction)cmath_sqrt, METH_VARARGS, cmath_sqrt__doc__},
+
+static Py_complex
+cmath_sqrt_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_sqrt(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+    Py_complex _return_value;
+
+    if (!PyArg_ParseTuple(args,
+        "D:sqrt",
+        &z))
+        goto exit;
+    /* modifications for z */
+    errno = 0; PyFPE_START_PROTECT("complex function", goto exit);
+    _return_value = cmath_sqrt_impl(module, z);
+    PyFPE_END_PROTECT(_return_value);
+    if (errno == EDOM) {
+        PyErr_SetString(PyExc_ValueError, "math domain error");
+        goto exit;
+    }
+    else if (errno == ERANGE) {
+        PyErr_SetString(PyExc_OverflowError, "math range error");
+        goto exit;
+    }
+    else {
+        return_value = PyComplex_FromCComplex(_return_value);
+    }
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_tan__doc__,
+"tan($module, z, /)\n"
+"--\n"
+"\n"
+"Return the tangent of z.");
+
+#define CMATH_TAN_METHODDEF    \
+    {"tan", (PyCFunction)cmath_tan, METH_VARARGS, cmath_tan__doc__},
+
+static Py_complex
+cmath_tan_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_tan(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+    Py_complex _return_value;
+
+    if (!PyArg_ParseTuple(args,
+        "D:tan",
+        &z))
+        goto exit;
+    /* modifications for z */
+    errno = 0; PyFPE_START_PROTECT("complex function", goto exit);
+    _return_value = cmath_tan_impl(module, z);
+    PyFPE_END_PROTECT(_return_value);
+    if (errno == EDOM) {
+        PyErr_SetString(PyExc_ValueError, "math domain error");
+        goto exit;
+    }
+    else if (errno == ERANGE) {
+        PyErr_SetString(PyExc_OverflowError, "math range error");
+        goto exit;
+    }
+    else {
+        return_value = PyComplex_FromCComplex(_return_value);
+    }
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_tanh__doc__,
+"tanh($module, z, /)\n"
+"--\n"
+"\n"
+"Return the hyperbolic tangent of z.");
+
+#define CMATH_TANH_METHODDEF    \
+    {"tanh", (PyCFunction)cmath_tanh, METH_VARARGS, cmath_tanh__doc__},
+
+static Py_complex
+cmath_tanh_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_tanh(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+    Py_complex _return_value;
+
+    if (!PyArg_ParseTuple(args,
+        "D:tanh",
+        &z))
+        goto exit;
+    /* modifications for z */
+    errno = 0; PyFPE_START_PROTECT("complex function", goto exit);
+    _return_value = cmath_tanh_impl(module, z);
+    PyFPE_END_PROTECT(_return_value);
+    if (errno == EDOM) {
+        PyErr_SetString(PyExc_ValueError, "math domain error");
+        goto exit;
+    }
+    else if (errno == ERANGE) {
+        PyErr_SetString(PyExc_OverflowError, "math range error");
+        goto exit;
+    }
+    else {
+        return_value = PyComplex_FromCComplex(_return_value);
+    }
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_log__doc__,
+"log($module, x, y_obj=None, /)\n"
+"--\n"
+"\n"
+"The logarithm of z to the given base.\n"
+"\n"
+"If the base not specified, returns the natural logarithm (base e) of z.");
+
+#define CMATH_LOG_METHODDEF    \
+    {"log", (PyCFunction)cmath_log, METH_VARARGS, cmath_log__doc__},
+
+static PyObject *
+cmath_log_impl(PyModuleDef *module, Py_complex x, PyObject *y_obj);
+
+static PyObject *
+cmath_log(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex x;
+    PyObject *y_obj = NULL;
+
+    if (!PyArg_ParseTuple(args,
+        "D|O:log",
+        &x, &y_obj))
+        goto exit;
+    return_value = cmath_log_impl(module, x, y_obj);
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_phase__doc__,
+"phase($module, z, /)\n"
+"--\n"
+"\n"
+"Return argument, also known as the phase angle, of a complex.");
+
+#define CMATH_PHASE_METHODDEF    \
+    {"phase", (PyCFunction)cmath_phase, METH_VARARGS, cmath_phase__doc__},
+
+static PyObject *
+cmath_phase_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_phase(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+
+    if (!PyArg_ParseTuple(args,
+        "D:phase",
+        &z))
+        goto exit;
+    return_value = cmath_phase_impl(module, z);
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_polar__doc__,
+"polar($module, z, /)\n"
+"--\n"
+"\n"
+"Convert a complex from rectangular coordinates to polar coordinates.\n"
+"\n"
+"r is the distance from 0 and phi the phase angle.");
+
+#define CMATH_POLAR_METHODDEF    \
+    {"polar", (PyCFunction)cmath_polar, METH_VARARGS, cmath_polar__doc__},
+
+static PyObject *
+cmath_polar_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_polar(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+
+    if (!PyArg_ParseTuple(args,
+        "D:polar",
+        &z))
+        goto exit;
+    return_value = cmath_polar_impl(module, z);
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_rect__doc__,
+"rect($module, r, phi, /)\n"
+"--\n"
+"\n"
+"Convert from polar coordinates to rectangular coordinates.");
+
+#define CMATH_RECT_METHODDEF    \
+    {"rect", (PyCFunction)cmath_rect, METH_VARARGS, cmath_rect__doc__},
+
+static PyObject *
+cmath_rect_impl(PyModuleDef *module, double r, double phi);
+
+static PyObject *
+cmath_rect(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    double r;
+    double phi;
+
+    if (!PyArg_ParseTuple(args,
+        "dd:rect",
+        &r, &phi))
+        goto exit;
+    return_value = cmath_rect_impl(module, r, phi);
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_isfinite__doc__,
+"isfinite($module, z, /)\n"
+"--\n"
+"\n"
+"Return True if both the real and imaginary parts of z are finite, else False.");
+
+#define CMATH_ISFINITE_METHODDEF    \
+    {"isfinite", (PyCFunction)cmath_isfinite, METH_VARARGS, cmath_isfinite__doc__},
+
+static PyObject *
+cmath_isfinite_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_isfinite(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+
+    if (!PyArg_ParseTuple(args,
+        "D:isfinite",
+        &z))
+        goto exit;
+    return_value = cmath_isfinite_impl(module, z);
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_isnan__doc__,
+"isnan($module, z, /)\n"
+"--\n"
+"\n"
+"Checks if the real or imaginary part of z not a number (NaN).");
+
+#define CMATH_ISNAN_METHODDEF    \
+    {"isnan", (PyCFunction)cmath_isnan, METH_VARARGS, cmath_isnan__doc__},
+
+static PyObject *
+cmath_isnan_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_isnan(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+
+    if (!PyArg_ParseTuple(args,
+        "D:isnan",
+        &z))
+        goto exit;
+    return_value = cmath_isnan_impl(module, z);
+
+exit:
+    return return_value;
+}
+
+PyDoc_STRVAR(cmath_isinf__doc__,
+"isinf($module, z, /)\n"
+"--\n"
+"\n"
+"Checks if the real or imaginary part of z is infinite.");
+
+#define CMATH_ISINF_METHODDEF    \
+    {"isinf", (PyCFunction)cmath_isinf, METH_VARARGS, cmath_isinf__doc__},
+
+static PyObject *
+cmath_isinf_impl(PyModuleDef *module, Py_complex z);
+
+static PyObject *
+cmath_isinf(PyModuleDef *module, PyObject *args)
+{
+    PyObject *return_value = NULL;
+    Py_complex z;
+
+    if (!PyArg_ParseTuple(args,
+        "D:isinf",
+        &z))
+        goto exit;
+    return_value = cmath_isinf_impl(module, z);
+
+exit:
+    return return_value;
+}
+/*[clinic end generated code: output=4407f898ae07c83d input=a9049054013a1b77]*/