17db96d56Sopenharmony_ci/*[clinic input]
27db96d56Sopenharmony_cipreserve
37db96d56Sopenharmony_ci[clinic start generated code]*/
47db96d56Sopenharmony_ci
57db96d56Sopenharmony_ciPyDoc_STRVAR(math_ceil__doc__,
67db96d56Sopenharmony_ci"ceil($module, x, /)\n"
77db96d56Sopenharmony_ci"--\n"
87db96d56Sopenharmony_ci"\n"
97db96d56Sopenharmony_ci"Return the ceiling of x as an Integral.\n"
107db96d56Sopenharmony_ci"\n"
117db96d56Sopenharmony_ci"This is the smallest integer >= x.");
127db96d56Sopenharmony_ci
137db96d56Sopenharmony_ci#define MATH_CEIL_METHODDEF    \
147db96d56Sopenharmony_ci    {"ceil", (PyCFunction)math_ceil, METH_O, math_ceil__doc__},
157db96d56Sopenharmony_ci
167db96d56Sopenharmony_ciPyDoc_STRVAR(math_floor__doc__,
177db96d56Sopenharmony_ci"floor($module, x, /)\n"
187db96d56Sopenharmony_ci"--\n"
197db96d56Sopenharmony_ci"\n"
207db96d56Sopenharmony_ci"Return the floor of x as an Integral.\n"
217db96d56Sopenharmony_ci"\n"
227db96d56Sopenharmony_ci"This is the largest integer <= x.");
237db96d56Sopenharmony_ci
247db96d56Sopenharmony_ci#define MATH_FLOOR_METHODDEF    \
257db96d56Sopenharmony_ci    {"floor", (PyCFunction)math_floor, METH_O, math_floor__doc__},
267db96d56Sopenharmony_ci
277db96d56Sopenharmony_ciPyDoc_STRVAR(math_fsum__doc__,
287db96d56Sopenharmony_ci"fsum($module, seq, /)\n"
297db96d56Sopenharmony_ci"--\n"
307db96d56Sopenharmony_ci"\n"
317db96d56Sopenharmony_ci"Return an accurate floating point sum of values in the iterable seq.\n"
327db96d56Sopenharmony_ci"\n"
337db96d56Sopenharmony_ci"Assumes IEEE-754 floating point arithmetic.");
347db96d56Sopenharmony_ci
357db96d56Sopenharmony_ci#define MATH_FSUM_METHODDEF    \
367db96d56Sopenharmony_ci    {"fsum", (PyCFunction)math_fsum, METH_O, math_fsum__doc__},
377db96d56Sopenharmony_ci
387db96d56Sopenharmony_ciPyDoc_STRVAR(math_isqrt__doc__,
397db96d56Sopenharmony_ci"isqrt($module, n, /)\n"
407db96d56Sopenharmony_ci"--\n"
417db96d56Sopenharmony_ci"\n"
427db96d56Sopenharmony_ci"Return the integer part of the square root of the input.");
437db96d56Sopenharmony_ci
447db96d56Sopenharmony_ci#define MATH_ISQRT_METHODDEF    \
457db96d56Sopenharmony_ci    {"isqrt", (PyCFunction)math_isqrt, METH_O, math_isqrt__doc__},
467db96d56Sopenharmony_ci
477db96d56Sopenharmony_ciPyDoc_STRVAR(math_factorial__doc__,
487db96d56Sopenharmony_ci"factorial($module, n, /)\n"
497db96d56Sopenharmony_ci"--\n"
507db96d56Sopenharmony_ci"\n"
517db96d56Sopenharmony_ci"Find n!.\n"
527db96d56Sopenharmony_ci"\n"
537db96d56Sopenharmony_ci"Raise a ValueError if x is negative or non-integral.");
547db96d56Sopenharmony_ci
557db96d56Sopenharmony_ci#define MATH_FACTORIAL_METHODDEF    \
567db96d56Sopenharmony_ci    {"factorial", (PyCFunction)math_factorial, METH_O, math_factorial__doc__},
577db96d56Sopenharmony_ci
587db96d56Sopenharmony_ciPyDoc_STRVAR(math_trunc__doc__,
597db96d56Sopenharmony_ci"trunc($module, x, /)\n"
607db96d56Sopenharmony_ci"--\n"
617db96d56Sopenharmony_ci"\n"
627db96d56Sopenharmony_ci"Truncates the Real x to the nearest Integral toward 0.\n"
637db96d56Sopenharmony_ci"\n"
647db96d56Sopenharmony_ci"Uses the __trunc__ magic method.");
657db96d56Sopenharmony_ci
667db96d56Sopenharmony_ci#define MATH_TRUNC_METHODDEF    \
677db96d56Sopenharmony_ci    {"trunc", (PyCFunction)math_trunc, METH_O, math_trunc__doc__},
687db96d56Sopenharmony_ci
697db96d56Sopenharmony_ciPyDoc_STRVAR(math_frexp__doc__,
707db96d56Sopenharmony_ci"frexp($module, x, /)\n"
717db96d56Sopenharmony_ci"--\n"
727db96d56Sopenharmony_ci"\n"
737db96d56Sopenharmony_ci"Return the mantissa and exponent of x, as pair (m, e).\n"
747db96d56Sopenharmony_ci"\n"
757db96d56Sopenharmony_ci"m is a float and e is an int, such that x = m * 2.**e.\n"
767db96d56Sopenharmony_ci"If x is 0, m and e are both 0.  Else 0.5 <= abs(m) < 1.0.");
777db96d56Sopenharmony_ci
787db96d56Sopenharmony_ci#define MATH_FREXP_METHODDEF    \
797db96d56Sopenharmony_ci    {"frexp", (PyCFunction)math_frexp, METH_O, math_frexp__doc__},
807db96d56Sopenharmony_ci
817db96d56Sopenharmony_cistatic PyObject *
827db96d56Sopenharmony_cimath_frexp_impl(PyObject *module, double x);
837db96d56Sopenharmony_ci
847db96d56Sopenharmony_cistatic PyObject *
857db96d56Sopenharmony_cimath_frexp(PyObject *module, PyObject *arg)
867db96d56Sopenharmony_ci{
877db96d56Sopenharmony_ci    PyObject *return_value = NULL;
887db96d56Sopenharmony_ci    double x;
897db96d56Sopenharmony_ci
907db96d56Sopenharmony_ci    if (PyFloat_CheckExact(arg)) {
917db96d56Sopenharmony_ci        x = PyFloat_AS_DOUBLE(arg);
927db96d56Sopenharmony_ci    }
937db96d56Sopenharmony_ci    else
947db96d56Sopenharmony_ci    {
957db96d56Sopenharmony_ci        x = PyFloat_AsDouble(arg);
967db96d56Sopenharmony_ci        if (x == -1.0 && PyErr_Occurred()) {
977db96d56Sopenharmony_ci            goto exit;
987db96d56Sopenharmony_ci        }
997db96d56Sopenharmony_ci    }
1007db96d56Sopenharmony_ci    return_value = math_frexp_impl(module, x);
1017db96d56Sopenharmony_ci
1027db96d56Sopenharmony_ciexit:
1037db96d56Sopenharmony_ci    return return_value;
1047db96d56Sopenharmony_ci}
1057db96d56Sopenharmony_ci
1067db96d56Sopenharmony_ciPyDoc_STRVAR(math_ldexp__doc__,
1077db96d56Sopenharmony_ci"ldexp($module, x, i, /)\n"
1087db96d56Sopenharmony_ci"--\n"
1097db96d56Sopenharmony_ci"\n"
1107db96d56Sopenharmony_ci"Return x * (2**i).\n"
1117db96d56Sopenharmony_ci"\n"
1127db96d56Sopenharmony_ci"This is essentially the inverse of frexp().");
1137db96d56Sopenharmony_ci
1147db96d56Sopenharmony_ci#define MATH_LDEXP_METHODDEF    \
1157db96d56Sopenharmony_ci    {"ldexp", _PyCFunction_CAST(math_ldexp), METH_FASTCALL, math_ldexp__doc__},
1167db96d56Sopenharmony_ci
1177db96d56Sopenharmony_cistatic PyObject *
1187db96d56Sopenharmony_cimath_ldexp_impl(PyObject *module, double x, PyObject *i);
1197db96d56Sopenharmony_ci
1207db96d56Sopenharmony_cistatic PyObject *
1217db96d56Sopenharmony_cimath_ldexp(PyObject *module, PyObject *const *args, Py_ssize_t nargs)
1227db96d56Sopenharmony_ci{
1237db96d56Sopenharmony_ci    PyObject *return_value = NULL;
1247db96d56Sopenharmony_ci    double x;
1257db96d56Sopenharmony_ci    PyObject *i;
1267db96d56Sopenharmony_ci
1277db96d56Sopenharmony_ci    if (!_PyArg_CheckPositional("ldexp", nargs, 2, 2)) {
1287db96d56Sopenharmony_ci        goto exit;
1297db96d56Sopenharmony_ci    }
1307db96d56Sopenharmony_ci    if (PyFloat_CheckExact(args[0])) {
1317db96d56Sopenharmony_ci        x = PyFloat_AS_DOUBLE(args[0]);
1327db96d56Sopenharmony_ci    }
1337db96d56Sopenharmony_ci    else
1347db96d56Sopenharmony_ci    {
1357db96d56Sopenharmony_ci        x = PyFloat_AsDouble(args[0]);
1367db96d56Sopenharmony_ci        if (x == -1.0 && PyErr_Occurred()) {
1377db96d56Sopenharmony_ci            goto exit;
1387db96d56Sopenharmony_ci        }
1397db96d56Sopenharmony_ci    }
1407db96d56Sopenharmony_ci    i = args[1];
1417db96d56Sopenharmony_ci    return_value = math_ldexp_impl(module, x, i);
1427db96d56Sopenharmony_ci
1437db96d56Sopenharmony_ciexit:
1447db96d56Sopenharmony_ci    return return_value;
1457db96d56Sopenharmony_ci}
1467db96d56Sopenharmony_ci
1477db96d56Sopenharmony_ciPyDoc_STRVAR(math_modf__doc__,
1487db96d56Sopenharmony_ci"modf($module, x, /)\n"
1497db96d56Sopenharmony_ci"--\n"
1507db96d56Sopenharmony_ci"\n"
1517db96d56Sopenharmony_ci"Return the fractional and integer parts of x.\n"
1527db96d56Sopenharmony_ci"\n"
1537db96d56Sopenharmony_ci"Both results carry the sign of x and are floats.");
1547db96d56Sopenharmony_ci
1557db96d56Sopenharmony_ci#define MATH_MODF_METHODDEF    \
1567db96d56Sopenharmony_ci    {"modf", (PyCFunction)math_modf, METH_O, math_modf__doc__},
1577db96d56Sopenharmony_ci
1587db96d56Sopenharmony_cistatic PyObject *
1597db96d56Sopenharmony_cimath_modf_impl(PyObject *module, double x);
1607db96d56Sopenharmony_ci
1617db96d56Sopenharmony_cistatic PyObject *
1627db96d56Sopenharmony_cimath_modf(PyObject *module, PyObject *arg)
1637db96d56Sopenharmony_ci{
1647db96d56Sopenharmony_ci    PyObject *return_value = NULL;
1657db96d56Sopenharmony_ci    double x;
1667db96d56Sopenharmony_ci
1677db96d56Sopenharmony_ci    if (PyFloat_CheckExact(arg)) {
1687db96d56Sopenharmony_ci        x = PyFloat_AS_DOUBLE(arg);
1697db96d56Sopenharmony_ci    }
1707db96d56Sopenharmony_ci    else
1717db96d56Sopenharmony_ci    {
1727db96d56Sopenharmony_ci        x = PyFloat_AsDouble(arg);
1737db96d56Sopenharmony_ci        if (x == -1.0 && PyErr_Occurred()) {
1747db96d56Sopenharmony_ci            goto exit;
1757db96d56Sopenharmony_ci        }
1767db96d56Sopenharmony_ci    }
1777db96d56Sopenharmony_ci    return_value = math_modf_impl(module, x);
1787db96d56Sopenharmony_ci
1797db96d56Sopenharmony_ciexit:
1807db96d56Sopenharmony_ci    return return_value;
1817db96d56Sopenharmony_ci}
1827db96d56Sopenharmony_ci
1837db96d56Sopenharmony_ciPyDoc_STRVAR(math_log__doc__,
1847db96d56Sopenharmony_ci"log(x, [base=math.e])\n"
1857db96d56Sopenharmony_ci"Return the logarithm of x to the given base.\n"
1867db96d56Sopenharmony_ci"\n"
1877db96d56Sopenharmony_ci"If the base not specified, returns the natural logarithm (base e) of x.");
1887db96d56Sopenharmony_ci
1897db96d56Sopenharmony_ci#define MATH_LOG_METHODDEF    \
1907db96d56Sopenharmony_ci    {"log", (PyCFunction)math_log, METH_VARARGS, math_log__doc__},
1917db96d56Sopenharmony_ci
1927db96d56Sopenharmony_cistatic PyObject *
1937db96d56Sopenharmony_cimath_log_impl(PyObject *module, PyObject *x, int group_right_1,
1947db96d56Sopenharmony_ci              PyObject *base);
1957db96d56Sopenharmony_ci
1967db96d56Sopenharmony_cistatic PyObject *
1977db96d56Sopenharmony_cimath_log(PyObject *module, PyObject *args)
1987db96d56Sopenharmony_ci{
1997db96d56Sopenharmony_ci    PyObject *return_value = NULL;
2007db96d56Sopenharmony_ci    PyObject *x;
2017db96d56Sopenharmony_ci    int group_right_1 = 0;
2027db96d56Sopenharmony_ci    PyObject *base = NULL;
2037db96d56Sopenharmony_ci
2047db96d56Sopenharmony_ci    switch (PyTuple_GET_SIZE(args)) {
2057db96d56Sopenharmony_ci        case 1:
2067db96d56Sopenharmony_ci            if (!PyArg_ParseTuple(args, "O:log", &x)) {
2077db96d56Sopenharmony_ci                goto exit;
2087db96d56Sopenharmony_ci            }
2097db96d56Sopenharmony_ci            break;
2107db96d56Sopenharmony_ci        case 2:
2117db96d56Sopenharmony_ci            if (!PyArg_ParseTuple(args, "OO:log", &x, &base)) {
2127db96d56Sopenharmony_ci                goto exit;
2137db96d56Sopenharmony_ci            }
2147db96d56Sopenharmony_ci            group_right_1 = 1;
2157db96d56Sopenharmony_ci            break;
2167db96d56Sopenharmony_ci        default:
2177db96d56Sopenharmony_ci            PyErr_SetString(PyExc_TypeError, "math.log requires 1 to 2 arguments");
2187db96d56Sopenharmony_ci            goto exit;
2197db96d56Sopenharmony_ci    }
2207db96d56Sopenharmony_ci    return_value = math_log_impl(module, x, group_right_1, base);
2217db96d56Sopenharmony_ci
2227db96d56Sopenharmony_ciexit:
2237db96d56Sopenharmony_ci    return return_value;
2247db96d56Sopenharmony_ci}
2257db96d56Sopenharmony_ci
2267db96d56Sopenharmony_ciPyDoc_STRVAR(math_log2__doc__,
2277db96d56Sopenharmony_ci"log2($module, x, /)\n"
2287db96d56Sopenharmony_ci"--\n"
2297db96d56Sopenharmony_ci"\n"
2307db96d56Sopenharmony_ci"Return the base 2 logarithm of x.");
2317db96d56Sopenharmony_ci
2327db96d56Sopenharmony_ci#define MATH_LOG2_METHODDEF    \
2337db96d56Sopenharmony_ci    {"log2", (PyCFunction)math_log2, METH_O, math_log2__doc__},
2347db96d56Sopenharmony_ci
2357db96d56Sopenharmony_ciPyDoc_STRVAR(math_log10__doc__,
2367db96d56Sopenharmony_ci"log10($module, x, /)\n"
2377db96d56Sopenharmony_ci"--\n"
2387db96d56Sopenharmony_ci"\n"
2397db96d56Sopenharmony_ci"Return the base 10 logarithm of x.");
2407db96d56Sopenharmony_ci
2417db96d56Sopenharmony_ci#define MATH_LOG10_METHODDEF    \
2427db96d56Sopenharmony_ci    {"log10", (PyCFunction)math_log10, METH_O, math_log10__doc__},
2437db96d56Sopenharmony_ci
2447db96d56Sopenharmony_ciPyDoc_STRVAR(math_fmod__doc__,
2457db96d56Sopenharmony_ci"fmod($module, x, y, /)\n"
2467db96d56Sopenharmony_ci"--\n"
2477db96d56Sopenharmony_ci"\n"
2487db96d56Sopenharmony_ci"Return fmod(x, y), according to platform C.\n"
2497db96d56Sopenharmony_ci"\n"
2507db96d56Sopenharmony_ci"x % y may differ.");
2517db96d56Sopenharmony_ci
2527db96d56Sopenharmony_ci#define MATH_FMOD_METHODDEF    \
2537db96d56Sopenharmony_ci    {"fmod", _PyCFunction_CAST(math_fmod), METH_FASTCALL, math_fmod__doc__},
2547db96d56Sopenharmony_ci
2557db96d56Sopenharmony_cistatic PyObject *
2567db96d56Sopenharmony_cimath_fmod_impl(PyObject *module, double x, double y);
2577db96d56Sopenharmony_ci
2587db96d56Sopenharmony_cistatic PyObject *
2597db96d56Sopenharmony_cimath_fmod(PyObject *module, PyObject *const *args, Py_ssize_t nargs)
2607db96d56Sopenharmony_ci{
2617db96d56Sopenharmony_ci    PyObject *return_value = NULL;
2627db96d56Sopenharmony_ci    double x;
2637db96d56Sopenharmony_ci    double y;
2647db96d56Sopenharmony_ci
2657db96d56Sopenharmony_ci    if (!_PyArg_CheckPositional("fmod", nargs, 2, 2)) {
2667db96d56Sopenharmony_ci        goto exit;
2677db96d56Sopenharmony_ci    }
2687db96d56Sopenharmony_ci    if (PyFloat_CheckExact(args[0])) {
2697db96d56Sopenharmony_ci        x = PyFloat_AS_DOUBLE(args[0]);
2707db96d56Sopenharmony_ci    }
2717db96d56Sopenharmony_ci    else
2727db96d56Sopenharmony_ci    {
2737db96d56Sopenharmony_ci        x = PyFloat_AsDouble(args[0]);
2747db96d56Sopenharmony_ci        if (x == -1.0 && PyErr_Occurred()) {
2757db96d56Sopenharmony_ci            goto exit;
2767db96d56Sopenharmony_ci        }
2777db96d56Sopenharmony_ci    }
2787db96d56Sopenharmony_ci    if (PyFloat_CheckExact(args[1])) {
2797db96d56Sopenharmony_ci        y = PyFloat_AS_DOUBLE(args[1]);
2807db96d56Sopenharmony_ci    }
2817db96d56Sopenharmony_ci    else
2827db96d56Sopenharmony_ci    {
2837db96d56Sopenharmony_ci        y = PyFloat_AsDouble(args[1]);
2847db96d56Sopenharmony_ci        if (y == -1.0 && PyErr_Occurred()) {
2857db96d56Sopenharmony_ci            goto exit;
2867db96d56Sopenharmony_ci        }
2877db96d56Sopenharmony_ci    }
2887db96d56Sopenharmony_ci    return_value = math_fmod_impl(module, x, y);
2897db96d56Sopenharmony_ci
2907db96d56Sopenharmony_ciexit:
2917db96d56Sopenharmony_ci    return return_value;
2927db96d56Sopenharmony_ci}
2937db96d56Sopenharmony_ci
2947db96d56Sopenharmony_ciPyDoc_STRVAR(math_dist__doc__,
2957db96d56Sopenharmony_ci"dist($module, p, q, /)\n"
2967db96d56Sopenharmony_ci"--\n"
2977db96d56Sopenharmony_ci"\n"
2987db96d56Sopenharmony_ci"Return the Euclidean distance between two points p and q.\n"
2997db96d56Sopenharmony_ci"\n"
3007db96d56Sopenharmony_ci"The points should be specified as sequences (or iterables) of\n"
3017db96d56Sopenharmony_ci"coordinates.  Both inputs must have the same dimension.\n"
3027db96d56Sopenharmony_ci"\n"
3037db96d56Sopenharmony_ci"Roughly equivalent to:\n"
3047db96d56Sopenharmony_ci"    sqrt(sum((px - qx) ** 2.0 for px, qx in zip(p, q)))");
3057db96d56Sopenharmony_ci
3067db96d56Sopenharmony_ci#define MATH_DIST_METHODDEF    \
3077db96d56Sopenharmony_ci    {"dist", _PyCFunction_CAST(math_dist), METH_FASTCALL, math_dist__doc__},
3087db96d56Sopenharmony_ci
3097db96d56Sopenharmony_cistatic PyObject *
3107db96d56Sopenharmony_cimath_dist_impl(PyObject *module, PyObject *p, PyObject *q);
3117db96d56Sopenharmony_ci
3127db96d56Sopenharmony_cistatic PyObject *
3137db96d56Sopenharmony_cimath_dist(PyObject *module, PyObject *const *args, Py_ssize_t nargs)
3147db96d56Sopenharmony_ci{
3157db96d56Sopenharmony_ci    PyObject *return_value = NULL;
3167db96d56Sopenharmony_ci    PyObject *p;
3177db96d56Sopenharmony_ci    PyObject *q;
3187db96d56Sopenharmony_ci
3197db96d56Sopenharmony_ci    if (!_PyArg_CheckPositional("dist", nargs, 2, 2)) {
3207db96d56Sopenharmony_ci        goto exit;
3217db96d56Sopenharmony_ci    }
3227db96d56Sopenharmony_ci    p = args[0];
3237db96d56Sopenharmony_ci    q = args[1];
3247db96d56Sopenharmony_ci    return_value = math_dist_impl(module, p, q);
3257db96d56Sopenharmony_ci
3267db96d56Sopenharmony_ciexit:
3277db96d56Sopenharmony_ci    return return_value;
3287db96d56Sopenharmony_ci}
3297db96d56Sopenharmony_ci
3307db96d56Sopenharmony_ciPyDoc_STRVAR(math_pow__doc__,
3317db96d56Sopenharmony_ci"pow($module, x, y, /)\n"
3327db96d56Sopenharmony_ci"--\n"
3337db96d56Sopenharmony_ci"\n"
3347db96d56Sopenharmony_ci"Return x**y (x to the power of y).");
3357db96d56Sopenharmony_ci
3367db96d56Sopenharmony_ci#define MATH_POW_METHODDEF    \
3377db96d56Sopenharmony_ci    {"pow", _PyCFunction_CAST(math_pow), METH_FASTCALL, math_pow__doc__},
3387db96d56Sopenharmony_ci
3397db96d56Sopenharmony_cistatic PyObject *
3407db96d56Sopenharmony_cimath_pow_impl(PyObject *module, double x, double y);
3417db96d56Sopenharmony_ci
3427db96d56Sopenharmony_cistatic PyObject *
3437db96d56Sopenharmony_cimath_pow(PyObject *module, PyObject *const *args, Py_ssize_t nargs)
3447db96d56Sopenharmony_ci{
3457db96d56Sopenharmony_ci    PyObject *return_value = NULL;
3467db96d56Sopenharmony_ci    double x;
3477db96d56Sopenharmony_ci    double y;
3487db96d56Sopenharmony_ci
3497db96d56Sopenharmony_ci    if (!_PyArg_CheckPositional("pow", nargs, 2, 2)) {
3507db96d56Sopenharmony_ci        goto exit;
3517db96d56Sopenharmony_ci    }
3527db96d56Sopenharmony_ci    if (PyFloat_CheckExact(args[0])) {
3537db96d56Sopenharmony_ci        x = PyFloat_AS_DOUBLE(args[0]);
3547db96d56Sopenharmony_ci    }
3557db96d56Sopenharmony_ci    else
3567db96d56Sopenharmony_ci    {
3577db96d56Sopenharmony_ci        x = PyFloat_AsDouble(args[0]);
3587db96d56Sopenharmony_ci        if (x == -1.0 && PyErr_Occurred()) {
3597db96d56Sopenharmony_ci            goto exit;
3607db96d56Sopenharmony_ci        }
3617db96d56Sopenharmony_ci    }
3627db96d56Sopenharmony_ci    if (PyFloat_CheckExact(args[1])) {
3637db96d56Sopenharmony_ci        y = PyFloat_AS_DOUBLE(args[1]);
3647db96d56Sopenharmony_ci    }
3657db96d56Sopenharmony_ci    else
3667db96d56Sopenharmony_ci    {
3677db96d56Sopenharmony_ci        y = PyFloat_AsDouble(args[1]);
3687db96d56Sopenharmony_ci        if (y == -1.0 && PyErr_Occurred()) {
3697db96d56Sopenharmony_ci            goto exit;
3707db96d56Sopenharmony_ci        }
3717db96d56Sopenharmony_ci    }
3727db96d56Sopenharmony_ci    return_value = math_pow_impl(module, x, y);
3737db96d56Sopenharmony_ci
3747db96d56Sopenharmony_ciexit:
3757db96d56Sopenharmony_ci    return return_value;
3767db96d56Sopenharmony_ci}
3777db96d56Sopenharmony_ci
3787db96d56Sopenharmony_ciPyDoc_STRVAR(math_degrees__doc__,
3797db96d56Sopenharmony_ci"degrees($module, x, /)\n"
3807db96d56Sopenharmony_ci"--\n"
3817db96d56Sopenharmony_ci"\n"
3827db96d56Sopenharmony_ci"Convert angle x from radians to degrees.");
3837db96d56Sopenharmony_ci
3847db96d56Sopenharmony_ci#define MATH_DEGREES_METHODDEF    \
3857db96d56Sopenharmony_ci    {"degrees", (PyCFunction)math_degrees, METH_O, math_degrees__doc__},
3867db96d56Sopenharmony_ci
3877db96d56Sopenharmony_cistatic PyObject *
3887db96d56Sopenharmony_cimath_degrees_impl(PyObject *module, double x);
3897db96d56Sopenharmony_ci
3907db96d56Sopenharmony_cistatic PyObject *
3917db96d56Sopenharmony_cimath_degrees(PyObject *module, PyObject *arg)
3927db96d56Sopenharmony_ci{
3937db96d56Sopenharmony_ci    PyObject *return_value = NULL;
3947db96d56Sopenharmony_ci    double x;
3957db96d56Sopenharmony_ci
3967db96d56Sopenharmony_ci    if (PyFloat_CheckExact(arg)) {
3977db96d56Sopenharmony_ci        x = PyFloat_AS_DOUBLE(arg);
3987db96d56Sopenharmony_ci    }
3997db96d56Sopenharmony_ci    else
4007db96d56Sopenharmony_ci    {
4017db96d56Sopenharmony_ci        x = PyFloat_AsDouble(arg);
4027db96d56Sopenharmony_ci        if (x == -1.0 && PyErr_Occurred()) {
4037db96d56Sopenharmony_ci            goto exit;
4047db96d56Sopenharmony_ci        }
4057db96d56Sopenharmony_ci    }
4067db96d56Sopenharmony_ci    return_value = math_degrees_impl(module, x);
4077db96d56Sopenharmony_ci
4087db96d56Sopenharmony_ciexit:
4097db96d56Sopenharmony_ci    return return_value;
4107db96d56Sopenharmony_ci}
4117db96d56Sopenharmony_ci
4127db96d56Sopenharmony_ciPyDoc_STRVAR(math_radians__doc__,
4137db96d56Sopenharmony_ci"radians($module, x, /)\n"
4147db96d56Sopenharmony_ci"--\n"
4157db96d56Sopenharmony_ci"\n"
4167db96d56Sopenharmony_ci"Convert angle x from degrees to radians.");
4177db96d56Sopenharmony_ci
4187db96d56Sopenharmony_ci#define MATH_RADIANS_METHODDEF    \
4197db96d56Sopenharmony_ci    {"radians", (PyCFunction)math_radians, METH_O, math_radians__doc__},
4207db96d56Sopenharmony_ci
4217db96d56Sopenharmony_cistatic PyObject *
4227db96d56Sopenharmony_cimath_radians_impl(PyObject *module, double x);
4237db96d56Sopenharmony_ci
4247db96d56Sopenharmony_cistatic PyObject *
4257db96d56Sopenharmony_cimath_radians(PyObject *module, PyObject *arg)
4267db96d56Sopenharmony_ci{
4277db96d56Sopenharmony_ci    PyObject *return_value = NULL;
4287db96d56Sopenharmony_ci    double x;
4297db96d56Sopenharmony_ci
4307db96d56Sopenharmony_ci    if (PyFloat_CheckExact(arg)) {
4317db96d56Sopenharmony_ci        x = PyFloat_AS_DOUBLE(arg);
4327db96d56Sopenharmony_ci    }
4337db96d56Sopenharmony_ci    else
4347db96d56Sopenharmony_ci    {
4357db96d56Sopenharmony_ci        x = PyFloat_AsDouble(arg);
4367db96d56Sopenharmony_ci        if (x == -1.0 && PyErr_Occurred()) {
4377db96d56Sopenharmony_ci            goto exit;
4387db96d56Sopenharmony_ci        }
4397db96d56Sopenharmony_ci    }
4407db96d56Sopenharmony_ci    return_value = math_radians_impl(module, x);
4417db96d56Sopenharmony_ci
4427db96d56Sopenharmony_ciexit:
4437db96d56Sopenharmony_ci    return return_value;
4447db96d56Sopenharmony_ci}
4457db96d56Sopenharmony_ci
4467db96d56Sopenharmony_ciPyDoc_STRVAR(math_isfinite__doc__,
4477db96d56Sopenharmony_ci"isfinite($module, x, /)\n"
4487db96d56Sopenharmony_ci"--\n"
4497db96d56Sopenharmony_ci"\n"
4507db96d56Sopenharmony_ci"Return True if x is neither an infinity nor a NaN, and False otherwise.");
4517db96d56Sopenharmony_ci
4527db96d56Sopenharmony_ci#define MATH_ISFINITE_METHODDEF    \
4537db96d56Sopenharmony_ci    {"isfinite", (PyCFunction)math_isfinite, METH_O, math_isfinite__doc__},
4547db96d56Sopenharmony_ci
4557db96d56Sopenharmony_cistatic PyObject *
4567db96d56Sopenharmony_cimath_isfinite_impl(PyObject *module, double x);
4577db96d56Sopenharmony_ci
4587db96d56Sopenharmony_cistatic PyObject *
4597db96d56Sopenharmony_cimath_isfinite(PyObject *module, PyObject *arg)
4607db96d56Sopenharmony_ci{
4617db96d56Sopenharmony_ci    PyObject *return_value = NULL;
4627db96d56Sopenharmony_ci    double x;
4637db96d56Sopenharmony_ci
4647db96d56Sopenharmony_ci    if (PyFloat_CheckExact(arg)) {
4657db96d56Sopenharmony_ci        x = PyFloat_AS_DOUBLE(arg);
4667db96d56Sopenharmony_ci    }
4677db96d56Sopenharmony_ci    else
4687db96d56Sopenharmony_ci    {
4697db96d56Sopenharmony_ci        x = PyFloat_AsDouble(arg);
4707db96d56Sopenharmony_ci        if (x == -1.0 && PyErr_Occurred()) {
4717db96d56Sopenharmony_ci            goto exit;
4727db96d56Sopenharmony_ci        }
4737db96d56Sopenharmony_ci    }
4747db96d56Sopenharmony_ci    return_value = math_isfinite_impl(module, x);
4757db96d56Sopenharmony_ci
4767db96d56Sopenharmony_ciexit:
4777db96d56Sopenharmony_ci    return return_value;
4787db96d56Sopenharmony_ci}
4797db96d56Sopenharmony_ci
4807db96d56Sopenharmony_ciPyDoc_STRVAR(math_isnan__doc__,
4817db96d56Sopenharmony_ci"isnan($module, x, /)\n"
4827db96d56Sopenharmony_ci"--\n"
4837db96d56Sopenharmony_ci"\n"
4847db96d56Sopenharmony_ci"Return True if x is a NaN (not a number), and False otherwise.");
4857db96d56Sopenharmony_ci
4867db96d56Sopenharmony_ci#define MATH_ISNAN_METHODDEF    \
4877db96d56Sopenharmony_ci    {"isnan", (PyCFunction)math_isnan, METH_O, math_isnan__doc__},
4887db96d56Sopenharmony_ci
4897db96d56Sopenharmony_cistatic PyObject *
4907db96d56Sopenharmony_cimath_isnan_impl(PyObject *module, double x);
4917db96d56Sopenharmony_ci
4927db96d56Sopenharmony_cistatic PyObject *
4937db96d56Sopenharmony_cimath_isnan(PyObject *module, PyObject *arg)
4947db96d56Sopenharmony_ci{
4957db96d56Sopenharmony_ci    PyObject *return_value = NULL;
4967db96d56Sopenharmony_ci    double x;
4977db96d56Sopenharmony_ci
4987db96d56Sopenharmony_ci    if (PyFloat_CheckExact(arg)) {
4997db96d56Sopenharmony_ci        x = PyFloat_AS_DOUBLE(arg);
5007db96d56Sopenharmony_ci    }
5017db96d56Sopenharmony_ci    else
5027db96d56Sopenharmony_ci    {
5037db96d56Sopenharmony_ci        x = PyFloat_AsDouble(arg);
5047db96d56Sopenharmony_ci        if (x == -1.0 && PyErr_Occurred()) {
5057db96d56Sopenharmony_ci            goto exit;
5067db96d56Sopenharmony_ci        }
5077db96d56Sopenharmony_ci    }
5087db96d56Sopenharmony_ci    return_value = math_isnan_impl(module, x);
5097db96d56Sopenharmony_ci
5107db96d56Sopenharmony_ciexit:
5117db96d56Sopenharmony_ci    return return_value;
5127db96d56Sopenharmony_ci}
5137db96d56Sopenharmony_ci
5147db96d56Sopenharmony_ciPyDoc_STRVAR(math_isinf__doc__,
5157db96d56Sopenharmony_ci"isinf($module, x, /)\n"
5167db96d56Sopenharmony_ci"--\n"
5177db96d56Sopenharmony_ci"\n"
5187db96d56Sopenharmony_ci"Return True if x is a positive or negative infinity, and False otherwise.");
5197db96d56Sopenharmony_ci
5207db96d56Sopenharmony_ci#define MATH_ISINF_METHODDEF    \
5217db96d56Sopenharmony_ci    {"isinf", (PyCFunction)math_isinf, METH_O, math_isinf__doc__},
5227db96d56Sopenharmony_ci
5237db96d56Sopenharmony_cistatic PyObject *
5247db96d56Sopenharmony_cimath_isinf_impl(PyObject *module, double x);
5257db96d56Sopenharmony_ci
5267db96d56Sopenharmony_cistatic PyObject *
5277db96d56Sopenharmony_cimath_isinf(PyObject *module, PyObject *arg)
5287db96d56Sopenharmony_ci{
5297db96d56Sopenharmony_ci    PyObject *return_value = NULL;
5307db96d56Sopenharmony_ci    double x;
5317db96d56Sopenharmony_ci
5327db96d56Sopenharmony_ci    if (PyFloat_CheckExact(arg)) {
5337db96d56Sopenharmony_ci        x = PyFloat_AS_DOUBLE(arg);
5347db96d56Sopenharmony_ci    }
5357db96d56Sopenharmony_ci    else
5367db96d56Sopenharmony_ci    {
5377db96d56Sopenharmony_ci        x = PyFloat_AsDouble(arg);
5387db96d56Sopenharmony_ci        if (x == -1.0 && PyErr_Occurred()) {
5397db96d56Sopenharmony_ci            goto exit;
5407db96d56Sopenharmony_ci        }
5417db96d56Sopenharmony_ci    }
5427db96d56Sopenharmony_ci    return_value = math_isinf_impl(module, x);
5437db96d56Sopenharmony_ci
5447db96d56Sopenharmony_ciexit:
5457db96d56Sopenharmony_ci    return return_value;
5467db96d56Sopenharmony_ci}
5477db96d56Sopenharmony_ci
5487db96d56Sopenharmony_ciPyDoc_STRVAR(math_isclose__doc__,
5497db96d56Sopenharmony_ci"isclose($module, /, a, b, *, rel_tol=1e-09, abs_tol=0.0)\n"
5507db96d56Sopenharmony_ci"--\n"
5517db96d56Sopenharmony_ci"\n"
5527db96d56Sopenharmony_ci"Determine whether two floating point numbers are close in value.\n"
5537db96d56Sopenharmony_ci"\n"
5547db96d56Sopenharmony_ci"  rel_tol\n"
5557db96d56Sopenharmony_ci"    maximum difference for being considered \"close\", relative to the\n"
5567db96d56Sopenharmony_ci"    magnitude of the input values\n"
5577db96d56Sopenharmony_ci"  abs_tol\n"
5587db96d56Sopenharmony_ci"    maximum difference for being considered \"close\", regardless of the\n"
5597db96d56Sopenharmony_ci"    magnitude of the input values\n"
5607db96d56Sopenharmony_ci"\n"
5617db96d56Sopenharmony_ci"Return True if a is close in value to b, and False otherwise.\n"
5627db96d56Sopenharmony_ci"\n"
5637db96d56Sopenharmony_ci"For the values to be considered close, the difference between them\n"
5647db96d56Sopenharmony_ci"must be smaller than at least one of the tolerances.\n"
5657db96d56Sopenharmony_ci"\n"
5667db96d56Sopenharmony_ci"-inf, inf and NaN behave similarly to the IEEE 754 Standard.  That\n"
5677db96d56Sopenharmony_ci"is, NaN is not close to anything, even itself.  inf and -inf are\n"
5687db96d56Sopenharmony_ci"only close to themselves.");
5697db96d56Sopenharmony_ci
5707db96d56Sopenharmony_ci#define MATH_ISCLOSE_METHODDEF    \
5717db96d56Sopenharmony_ci    {"isclose", _PyCFunction_CAST(math_isclose), METH_FASTCALL|METH_KEYWORDS, math_isclose__doc__},
5727db96d56Sopenharmony_ci
5737db96d56Sopenharmony_cistatic int
5747db96d56Sopenharmony_cimath_isclose_impl(PyObject *module, double a, double b, double rel_tol,
5757db96d56Sopenharmony_ci                  double abs_tol);
5767db96d56Sopenharmony_ci
5777db96d56Sopenharmony_cistatic PyObject *
5787db96d56Sopenharmony_cimath_isclose(PyObject *module, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames)
5797db96d56Sopenharmony_ci{
5807db96d56Sopenharmony_ci    PyObject *return_value = NULL;
5817db96d56Sopenharmony_ci    static const char * const _keywords[] = {"a", "b", "rel_tol", "abs_tol", NULL};
5827db96d56Sopenharmony_ci    static _PyArg_Parser _parser = {NULL, _keywords, "isclose", 0};
5837db96d56Sopenharmony_ci    PyObject *argsbuf[4];
5847db96d56Sopenharmony_ci    Py_ssize_t noptargs = nargs + (kwnames ? PyTuple_GET_SIZE(kwnames) : 0) - 2;
5857db96d56Sopenharmony_ci    double a;
5867db96d56Sopenharmony_ci    double b;
5877db96d56Sopenharmony_ci    double rel_tol = 1e-09;
5887db96d56Sopenharmony_ci    double abs_tol = 0.0;
5897db96d56Sopenharmony_ci    int _return_value;
5907db96d56Sopenharmony_ci
5917db96d56Sopenharmony_ci    args = _PyArg_UnpackKeywords(args, nargs, NULL, kwnames, &_parser, 2, 2, 0, argsbuf);
5927db96d56Sopenharmony_ci    if (!args) {
5937db96d56Sopenharmony_ci        goto exit;
5947db96d56Sopenharmony_ci    }
5957db96d56Sopenharmony_ci    if (PyFloat_CheckExact(args[0])) {
5967db96d56Sopenharmony_ci        a = PyFloat_AS_DOUBLE(args[0]);
5977db96d56Sopenharmony_ci    }
5987db96d56Sopenharmony_ci    else
5997db96d56Sopenharmony_ci    {
6007db96d56Sopenharmony_ci        a = PyFloat_AsDouble(args[0]);
6017db96d56Sopenharmony_ci        if (a == -1.0 && PyErr_Occurred()) {
6027db96d56Sopenharmony_ci            goto exit;
6037db96d56Sopenharmony_ci        }
6047db96d56Sopenharmony_ci    }
6057db96d56Sopenharmony_ci    if (PyFloat_CheckExact(args[1])) {
6067db96d56Sopenharmony_ci        b = PyFloat_AS_DOUBLE(args[1]);
6077db96d56Sopenharmony_ci    }
6087db96d56Sopenharmony_ci    else
6097db96d56Sopenharmony_ci    {
6107db96d56Sopenharmony_ci        b = PyFloat_AsDouble(args[1]);
6117db96d56Sopenharmony_ci        if (b == -1.0 && PyErr_Occurred()) {
6127db96d56Sopenharmony_ci            goto exit;
6137db96d56Sopenharmony_ci        }
6147db96d56Sopenharmony_ci    }
6157db96d56Sopenharmony_ci    if (!noptargs) {
6167db96d56Sopenharmony_ci        goto skip_optional_kwonly;
6177db96d56Sopenharmony_ci    }
6187db96d56Sopenharmony_ci    if (args[2]) {
6197db96d56Sopenharmony_ci        if (PyFloat_CheckExact(args[2])) {
6207db96d56Sopenharmony_ci            rel_tol = PyFloat_AS_DOUBLE(args[2]);
6217db96d56Sopenharmony_ci        }
6227db96d56Sopenharmony_ci        else
6237db96d56Sopenharmony_ci        {
6247db96d56Sopenharmony_ci            rel_tol = PyFloat_AsDouble(args[2]);
6257db96d56Sopenharmony_ci            if (rel_tol == -1.0 && PyErr_Occurred()) {
6267db96d56Sopenharmony_ci                goto exit;
6277db96d56Sopenharmony_ci            }
6287db96d56Sopenharmony_ci        }
6297db96d56Sopenharmony_ci        if (!--noptargs) {
6307db96d56Sopenharmony_ci            goto skip_optional_kwonly;
6317db96d56Sopenharmony_ci        }
6327db96d56Sopenharmony_ci    }
6337db96d56Sopenharmony_ci    if (PyFloat_CheckExact(args[3])) {
6347db96d56Sopenharmony_ci        abs_tol = PyFloat_AS_DOUBLE(args[3]);
6357db96d56Sopenharmony_ci    }
6367db96d56Sopenharmony_ci    else
6377db96d56Sopenharmony_ci    {
6387db96d56Sopenharmony_ci        abs_tol = PyFloat_AsDouble(args[3]);
6397db96d56Sopenharmony_ci        if (abs_tol == -1.0 && PyErr_Occurred()) {
6407db96d56Sopenharmony_ci            goto exit;
6417db96d56Sopenharmony_ci        }
6427db96d56Sopenharmony_ci    }
6437db96d56Sopenharmony_ciskip_optional_kwonly:
6447db96d56Sopenharmony_ci    _return_value = math_isclose_impl(module, a, b, rel_tol, abs_tol);
6457db96d56Sopenharmony_ci    if ((_return_value == -1) && PyErr_Occurred()) {
6467db96d56Sopenharmony_ci        goto exit;
6477db96d56Sopenharmony_ci    }
6487db96d56Sopenharmony_ci    return_value = PyBool_FromLong((long)_return_value);
6497db96d56Sopenharmony_ci
6507db96d56Sopenharmony_ciexit:
6517db96d56Sopenharmony_ci    return return_value;
6527db96d56Sopenharmony_ci}
6537db96d56Sopenharmony_ci
6547db96d56Sopenharmony_ciPyDoc_STRVAR(math_prod__doc__,
6557db96d56Sopenharmony_ci"prod($module, iterable, /, *, start=1)\n"
6567db96d56Sopenharmony_ci"--\n"
6577db96d56Sopenharmony_ci"\n"
6587db96d56Sopenharmony_ci"Calculate the product of all the elements in the input iterable.\n"
6597db96d56Sopenharmony_ci"\n"
6607db96d56Sopenharmony_ci"The default start value for the product is 1.\n"
6617db96d56Sopenharmony_ci"\n"
6627db96d56Sopenharmony_ci"When the iterable is empty, return the start value.  This function is\n"
6637db96d56Sopenharmony_ci"intended specifically for use with numeric values and may reject\n"
6647db96d56Sopenharmony_ci"non-numeric types.");
6657db96d56Sopenharmony_ci
6667db96d56Sopenharmony_ci#define MATH_PROD_METHODDEF    \
6677db96d56Sopenharmony_ci    {"prod", _PyCFunction_CAST(math_prod), METH_FASTCALL|METH_KEYWORDS, math_prod__doc__},
6687db96d56Sopenharmony_ci
6697db96d56Sopenharmony_cistatic PyObject *
6707db96d56Sopenharmony_cimath_prod_impl(PyObject *module, PyObject *iterable, PyObject *start);
6717db96d56Sopenharmony_ci
6727db96d56Sopenharmony_cistatic PyObject *
6737db96d56Sopenharmony_cimath_prod(PyObject *module, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames)
6747db96d56Sopenharmony_ci{
6757db96d56Sopenharmony_ci    PyObject *return_value = NULL;
6767db96d56Sopenharmony_ci    static const char * const _keywords[] = {"", "start", NULL};
6777db96d56Sopenharmony_ci    static _PyArg_Parser _parser = {NULL, _keywords, "prod", 0};
6787db96d56Sopenharmony_ci    PyObject *argsbuf[2];
6797db96d56Sopenharmony_ci    Py_ssize_t noptargs = nargs + (kwnames ? PyTuple_GET_SIZE(kwnames) : 0) - 1;
6807db96d56Sopenharmony_ci    PyObject *iterable;
6817db96d56Sopenharmony_ci    PyObject *start = NULL;
6827db96d56Sopenharmony_ci
6837db96d56Sopenharmony_ci    args = _PyArg_UnpackKeywords(args, nargs, NULL, kwnames, &_parser, 1, 1, 0, argsbuf);
6847db96d56Sopenharmony_ci    if (!args) {
6857db96d56Sopenharmony_ci        goto exit;
6867db96d56Sopenharmony_ci    }
6877db96d56Sopenharmony_ci    iterable = args[0];
6887db96d56Sopenharmony_ci    if (!noptargs) {
6897db96d56Sopenharmony_ci        goto skip_optional_kwonly;
6907db96d56Sopenharmony_ci    }
6917db96d56Sopenharmony_ci    start = args[1];
6927db96d56Sopenharmony_ciskip_optional_kwonly:
6937db96d56Sopenharmony_ci    return_value = math_prod_impl(module, iterable, start);
6947db96d56Sopenharmony_ci
6957db96d56Sopenharmony_ciexit:
6967db96d56Sopenharmony_ci    return return_value;
6977db96d56Sopenharmony_ci}
6987db96d56Sopenharmony_ci
6997db96d56Sopenharmony_ciPyDoc_STRVAR(math_perm__doc__,
7007db96d56Sopenharmony_ci"perm($module, n, k=None, /)\n"
7017db96d56Sopenharmony_ci"--\n"
7027db96d56Sopenharmony_ci"\n"
7037db96d56Sopenharmony_ci"Number of ways to choose k items from n items without repetition and with order.\n"
7047db96d56Sopenharmony_ci"\n"
7057db96d56Sopenharmony_ci"Evaluates to n! / (n - k)! when k <= n and evaluates\n"
7067db96d56Sopenharmony_ci"to zero when k > n.\n"
7077db96d56Sopenharmony_ci"\n"
7087db96d56Sopenharmony_ci"If k is not specified or is None, then k defaults to n\n"
7097db96d56Sopenharmony_ci"and the function returns n!.\n"
7107db96d56Sopenharmony_ci"\n"
7117db96d56Sopenharmony_ci"Raises TypeError if either of the arguments are not integers.\n"
7127db96d56Sopenharmony_ci"Raises ValueError if either of the arguments are negative.");
7137db96d56Sopenharmony_ci
7147db96d56Sopenharmony_ci#define MATH_PERM_METHODDEF    \
7157db96d56Sopenharmony_ci    {"perm", _PyCFunction_CAST(math_perm), METH_FASTCALL, math_perm__doc__},
7167db96d56Sopenharmony_ci
7177db96d56Sopenharmony_cistatic PyObject *
7187db96d56Sopenharmony_cimath_perm_impl(PyObject *module, PyObject *n, PyObject *k);
7197db96d56Sopenharmony_ci
7207db96d56Sopenharmony_cistatic PyObject *
7217db96d56Sopenharmony_cimath_perm(PyObject *module, PyObject *const *args, Py_ssize_t nargs)
7227db96d56Sopenharmony_ci{
7237db96d56Sopenharmony_ci    PyObject *return_value = NULL;
7247db96d56Sopenharmony_ci    PyObject *n;
7257db96d56Sopenharmony_ci    PyObject *k = Py_None;
7267db96d56Sopenharmony_ci
7277db96d56Sopenharmony_ci    if (!_PyArg_CheckPositional("perm", nargs, 1, 2)) {
7287db96d56Sopenharmony_ci        goto exit;
7297db96d56Sopenharmony_ci    }
7307db96d56Sopenharmony_ci    n = args[0];
7317db96d56Sopenharmony_ci    if (nargs < 2) {
7327db96d56Sopenharmony_ci        goto skip_optional;
7337db96d56Sopenharmony_ci    }
7347db96d56Sopenharmony_ci    k = args[1];
7357db96d56Sopenharmony_ciskip_optional:
7367db96d56Sopenharmony_ci    return_value = math_perm_impl(module, n, k);
7377db96d56Sopenharmony_ci
7387db96d56Sopenharmony_ciexit:
7397db96d56Sopenharmony_ci    return return_value;
7407db96d56Sopenharmony_ci}
7417db96d56Sopenharmony_ci
7427db96d56Sopenharmony_ciPyDoc_STRVAR(math_comb__doc__,
7437db96d56Sopenharmony_ci"comb($module, n, k, /)\n"
7447db96d56Sopenharmony_ci"--\n"
7457db96d56Sopenharmony_ci"\n"
7467db96d56Sopenharmony_ci"Number of ways to choose k items from n items without repetition and without order.\n"
7477db96d56Sopenharmony_ci"\n"
7487db96d56Sopenharmony_ci"Evaluates to n! / (k! * (n - k)!) when k <= n and evaluates\n"
7497db96d56Sopenharmony_ci"to zero when k > n.\n"
7507db96d56Sopenharmony_ci"\n"
7517db96d56Sopenharmony_ci"Also called the binomial coefficient because it is equivalent\n"
7527db96d56Sopenharmony_ci"to the coefficient of k-th term in polynomial expansion of the\n"
7537db96d56Sopenharmony_ci"expression (1 + x)**n.\n"
7547db96d56Sopenharmony_ci"\n"
7557db96d56Sopenharmony_ci"Raises TypeError if either of the arguments are not integers.\n"
7567db96d56Sopenharmony_ci"Raises ValueError if either of the arguments are negative.");
7577db96d56Sopenharmony_ci
7587db96d56Sopenharmony_ci#define MATH_COMB_METHODDEF    \
7597db96d56Sopenharmony_ci    {"comb", _PyCFunction_CAST(math_comb), METH_FASTCALL, math_comb__doc__},
7607db96d56Sopenharmony_ci
7617db96d56Sopenharmony_cistatic PyObject *
7627db96d56Sopenharmony_cimath_comb_impl(PyObject *module, PyObject *n, PyObject *k);
7637db96d56Sopenharmony_ci
7647db96d56Sopenharmony_cistatic PyObject *
7657db96d56Sopenharmony_cimath_comb(PyObject *module, PyObject *const *args, Py_ssize_t nargs)
7667db96d56Sopenharmony_ci{
7677db96d56Sopenharmony_ci    PyObject *return_value = NULL;
7687db96d56Sopenharmony_ci    PyObject *n;
7697db96d56Sopenharmony_ci    PyObject *k;
7707db96d56Sopenharmony_ci
7717db96d56Sopenharmony_ci    if (!_PyArg_CheckPositional("comb", nargs, 2, 2)) {
7727db96d56Sopenharmony_ci        goto exit;
7737db96d56Sopenharmony_ci    }
7747db96d56Sopenharmony_ci    n = args[0];
7757db96d56Sopenharmony_ci    k = args[1];
7767db96d56Sopenharmony_ci    return_value = math_comb_impl(module, n, k);
7777db96d56Sopenharmony_ci
7787db96d56Sopenharmony_ciexit:
7797db96d56Sopenharmony_ci    return return_value;
7807db96d56Sopenharmony_ci}
7817db96d56Sopenharmony_ci
7827db96d56Sopenharmony_ciPyDoc_STRVAR(math_nextafter__doc__,
7837db96d56Sopenharmony_ci"nextafter($module, x, y, /)\n"
7847db96d56Sopenharmony_ci"--\n"
7857db96d56Sopenharmony_ci"\n"
7867db96d56Sopenharmony_ci"Return the next floating-point value after x towards y.");
7877db96d56Sopenharmony_ci
7887db96d56Sopenharmony_ci#define MATH_NEXTAFTER_METHODDEF    \
7897db96d56Sopenharmony_ci    {"nextafter", _PyCFunction_CAST(math_nextafter), METH_FASTCALL, math_nextafter__doc__},
7907db96d56Sopenharmony_ci
7917db96d56Sopenharmony_cistatic PyObject *
7927db96d56Sopenharmony_cimath_nextafter_impl(PyObject *module, double x, double y);
7937db96d56Sopenharmony_ci
7947db96d56Sopenharmony_cistatic PyObject *
7957db96d56Sopenharmony_cimath_nextafter(PyObject *module, PyObject *const *args, Py_ssize_t nargs)
7967db96d56Sopenharmony_ci{
7977db96d56Sopenharmony_ci    PyObject *return_value = NULL;
7987db96d56Sopenharmony_ci    double x;
7997db96d56Sopenharmony_ci    double y;
8007db96d56Sopenharmony_ci
8017db96d56Sopenharmony_ci    if (!_PyArg_CheckPositional("nextafter", nargs, 2, 2)) {
8027db96d56Sopenharmony_ci        goto exit;
8037db96d56Sopenharmony_ci    }
8047db96d56Sopenharmony_ci    if (PyFloat_CheckExact(args[0])) {
8057db96d56Sopenharmony_ci        x = PyFloat_AS_DOUBLE(args[0]);
8067db96d56Sopenharmony_ci    }
8077db96d56Sopenharmony_ci    else
8087db96d56Sopenharmony_ci    {
8097db96d56Sopenharmony_ci        x = PyFloat_AsDouble(args[0]);
8107db96d56Sopenharmony_ci        if (x == -1.0 && PyErr_Occurred()) {
8117db96d56Sopenharmony_ci            goto exit;
8127db96d56Sopenharmony_ci        }
8137db96d56Sopenharmony_ci    }
8147db96d56Sopenharmony_ci    if (PyFloat_CheckExact(args[1])) {
8157db96d56Sopenharmony_ci        y = PyFloat_AS_DOUBLE(args[1]);
8167db96d56Sopenharmony_ci    }
8177db96d56Sopenharmony_ci    else
8187db96d56Sopenharmony_ci    {
8197db96d56Sopenharmony_ci        y = PyFloat_AsDouble(args[1]);
8207db96d56Sopenharmony_ci        if (y == -1.0 && PyErr_Occurred()) {
8217db96d56Sopenharmony_ci            goto exit;
8227db96d56Sopenharmony_ci        }
8237db96d56Sopenharmony_ci    }
8247db96d56Sopenharmony_ci    return_value = math_nextafter_impl(module, x, y);
8257db96d56Sopenharmony_ci
8267db96d56Sopenharmony_ciexit:
8277db96d56Sopenharmony_ci    return return_value;
8287db96d56Sopenharmony_ci}
8297db96d56Sopenharmony_ci
8307db96d56Sopenharmony_ciPyDoc_STRVAR(math_ulp__doc__,
8317db96d56Sopenharmony_ci"ulp($module, x, /)\n"
8327db96d56Sopenharmony_ci"--\n"
8337db96d56Sopenharmony_ci"\n"
8347db96d56Sopenharmony_ci"Return the value of the least significant bit of the float x.");
8357db96d56Sopenharmony_ci
8367db96d56Sopenharmony_ci#define MATH_ULP_METHODDEF    \
8377db96d56Sopenharmony_ci    {"ulp", (PyCFunction)math_ulp, METH_O, math_ulp__doc__},
8387db96d56Sopenharmony_ci
8397db96d56Sopenharmony_cistatic double
8407db96d56Sopenharmony_cimath_ulp_impl(PyObject *module, double x);
8417db96d56Sopenharmony_ci
8427db96d56Sopenharmony_cistatic PyObject *
8437db96d56Sopenharmony_cimath_ulp(PyObject *module, PyObject *arg)
8447db96d56Sopenharmony_ci{
8457db96d56Sopenharmony_ci    PyObject *return_value = NULL;
8467db96d56Sopenharmony_ci    double x;
8477db96d56Sopenharmony_ci    double _return_value;
8487db96d56Sopenharmony_ci
8497db96d56Sopenharmony_ci    if (PyFloat_CheckExact(arg)) {
8507db96d56Sopenharmony_ci        x = PyFloat_AS_DOUBLE(arg);
8517db96d56Sopenharmony_ci    }
8527db96d56Sopenharmony_ci    else
8537db96d56Sopenharmony_ci    {
8547db96d56Sopenharmony_ci        x = PyFloat_AsDouble(arg);
8557db96d56Sopenharmony_ci        if (x == -1.0 && PyErr_Occurred()) {
8567db96d56Sopenharmony_ci            goto exit;
8577db96d56Sopenharmony_ci        }
8587db96d56Sopenharmony_ci    }
8597db96d56Sopenharmony_ci    _return_value = math_ulp_impl(module, x);
8607db96d56Sopenharmony_ci    if ((_return_value == -1.0) && PyErr_Occurred()) {
8617db96d56Sopenharmony_ci        goto exit;
8627db96d56Sopenharmony_ci    }
8637db96d56Sopenharmony_ci    return_value = PyFloat_FromDouble(_return_value);
8647db96d56Sopenharmony_ci
8657db96d56Sopenharmony_ciexit:
8667db96d56Sopenharmony_ci    return return_value;
8677db96d56Sopenharmony_ci}
8687db96d56Sopenharmony_ci/*[clinic end generated code: output=965f99dabaa72165 input=a9049054013a1b77]*/
869