| /*********************************************************** |
| Copyright 1991-1995 by Stichting Mathematisch Centrum, Amsterdam, |
| The Netherlands. |
| |
| All Rights Reserved |
| |
| Permission to use, copy, modify, and distribute this software and its |
| documentation for any purpose and without fee is hereby granted, |
| provided that the above copyright notice appear in all copies and that |
| both that copyright notice and this permission notice appear in |
| supporting documentation, and that the names of Stichting Mathematisch |
| Centrum or CWI or Corporation for National Research Initiatives or |
| CNRI not be used in advertising or publicity pertaining to |
| distribution of the software without specific, written prior |
| permission. |
| |
| While CWI is the initial source for this software, a modified version |
| is made available by the Corporation for National Research Initiatives |
| (CNRI) at the Internet address ftp://ftp.python.org. |
| |
| STICHTING MATHEMATISCH CENTRUM AND CNRI DISCLAIM ALL WARRANTIES WITH |
| REGARD TO THIS SOFTWARE, INCLUDING ALL IMPLIED WARRANTIES OF |
| MERCHANTABILITY AND FITNESS, IN NO EVENT SHALL STICHTING MATHEMATISCH |
| CENTRUM OR CNRI BE LIABLE FOR ANY SPECIAL, INDIRECT OR CONSEQUENTIAL |
| DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR |
| PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER |
| TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR |
| PERFORMANCE OF THIS SOFTWARE. |
| |
| ******************************************************************/ |
| |
| /* Math module -- standard C math library functions, pi and e */ |
| |
| #include "Python.h" |
| |
| #include "mymath.h" |
| |
| #ifndef _MSC_VER |
| #ifndef __STDC__ |
| extern double fmod Py_PROTO((double, double)); |
| extern double frexp Py_PROTO((double, int *)); |
| extern double ldexp Py_PROTO((double, int)); |
| extern double modf Py_PROTO((double, double *)); |
| #endif /* __STDC__ */ |
| #endif /* _MSC_VER */ |
| |
| |
| #ifdef i860 |
| /* Cray APP has bogus definition of HUGE_VAL in <math.h> */ |
| #undef HUGE_VAL |
| #endif |
| |
| #ifdef HUGE_VAL |
| #define CHECK(x) if (errno != 0) ; \ |
| else if (-HUGE_VAL <= (x) && (x) <= HUGE_VAL) ; \ |
| else errno = ERANGE |
| #else |
| #define CHECK(x) /* Don't know how to check */ |
| #endif |
| |
| static PyObject * |
| math_error() |
| { |
| if (errno == EDOM) |
| PyErr_SetString(PyExc_ValueError, "math domain error"); |
| else if (errno == ERANGE) |
| PyErr_SetString(PyExc_OverflowError, "math range error"); |
| else |
| /* Unexpected math error */ |
| PyErr_SetFromErrno(PyExc_ValueError); |
| return NULL; |
| } |
| |
| static PyObject * |
| math_1(args, func) |
| PyObject *args; |
| double (*func) Py_FPROTO((double)); |
| { |
| double x; |
| if (! PyArg_Parse(args, "d", &x)) |
| return NULL; |
| errno = 0; |
| PyFPE_START_PROTECT("in math_1", return 0) |
| x = (*func)(x); |
| PyFPE_END_PROTECT(x) |
| CHECK(x); |
| if (errno != 0) |
| return math_error(); |
| else |
| return PyFloat_FromDouble(x); |
| } |
| |
| static PyObject * |
| math_2(args, func) |
| PyObject *args; |
| double (*func) Py_FPROTO((double, double)); |
| { |
| double x, y; |
| if (! PyArg_Parse(args, "(dd)", &x, &y)) |
| return NULL; |
| errno = 0; |
| PyFPE_START_PROTECT("in math_2", return 0) |
| x = (*func)(x, y); |
| PyFPE_END_PROTECT(x) |
| CHECK(x); |
| if (errno != 0) |
| return math_error(); |
| else |
| return PyFloat_FromDouble(x); |
| } |
| |
| #define FUNC1(stubname, func, docstring_name, docstring) \ |
| static PyObject * stubname(self, args) PyObject *self, *args; { \ |
| return math_1(args, func); \ |
| }\ |
| static char docstring_name [] = docstring; |
| |
| #define FUNC2(stubname, func, docstring_name, docstring) \ |
| static PyObject * stubname(self, args) PyObject *self, *args; { \ |
| return math_2(args, func); \ |
| }\ |
| static char docstring_name [] = docstring; |
| |
| FUNC1(math_acos, acos, math_acos_doc, |
| "acos(x)\n\nReturn the arc cosine of x.") |
| FUNC1(math_asin, asin, math_asin_doc, |
| "asin(x)\n\nReturn the arc sine of x.") |
| FUNC1(math_atan, atan, math_atan_doc, |
| "atan(x)\n\nReturn the arc tangent of x.") |
| FUNC2(math_atan2, atan2, math_atan2_doc, |
| "atan2(x)\n\nReturn atan(x /y).") |
| FUNC1(math_ceil, ceil, math_ceil_doc, |
| "ceil(x)\n\nReturn the ceiling of x as a real.") |
| FUNC1(math_cos, cos, math_cos_doc, |
| "cos(x)\n\nReturn the cosine of x.") |
| FUNC1(math_cosh, cosh, math_cosh_doc, |
| "cosh(x)\n\nReturn the hyperbolic cosine of x.") |
| FUNC1(math_exp, exp, math_exp_doc, |
| "exp(x)\n\nReturn e raised to the power of x.") |
| FUNC1(math_fabs, fabs, math_fabs_doc, |
| "fabs(x)\n\nReturn the absolute value of the real x.") |
| FUNC1(math_floor, floor, math_floor_doc, |
| "floor(x)\n\nReturn the floor of x as a real.") |
| FUNC2(math_fmod, fmod, math_fmod_doc, |
| "fmod(x,y)\n\nReturn x % y.") |
| FUNC2(math_hypot, hypot, math_hypot_doc, |
| "hypot(x,y)\n\nReturn the Euclidean distance, sqrt(x*x + y*y).") |
| FUNC1(math_log, log, math_log_doc, |
| "log(x)\n\nReturn the natural logarithm of x.") |
| FUNC1(math_log10, log10, math_log10_doc, |
| "log10(x)\n\nReturn the base-10 logarithm of x.") |
| #ifdef MPW_3_1 /* This hack is needed for MPW 3.1 but not for 3.2 ... */ |
| FUNC2(math_pow, power, math_pow_doc, |
| "power(x,y)\n\nReturn x**y.") |
| #else |
| FUNC2(math_pow, pow, math_pow_doc, |
| "pow(x,y)\n\nReturn x**y.") |
| #endif |
| FUNC1(math_sin, sin, math_sin_doc, |
| "sin(x)\n\nReturn the sine of x.") |
| FUNC1(math_sinh, sinh, math_sinh_doc, |
| "sinh(x)\n\nReturn the hyperbolic sine of x.") |
| FUNC1(math_sqrt, sqrt, math_sqrt_doc, |
| "sqrt(x)\n\nReturn the square root of x.") |
| FUNC1(math_tan, tan, math_tan_doc, |
| "tan(x)\n\nReturn the tangent of x.") |
| FUNC1(math_tanh, tanh, math_tanh_doc, |
| "tanh(x)\n\nReturn the hyperbolic tangent of x.") |
| |
| |
| static PyObject * |
| math_frexp(self, args) |
| PyObject *self; |
| PyObject *args; |
| { |
| double x; |
| int i; |
| if (! PyArg_Parse(args, "d", &x)) |
| return NULL; |
| errno = 0; |
| x = frexp(x, &i); |
| CHECK(x); |
| if (errno != 0) |
| return math_error(); |
| return Py_BuildValue("(di)", x, i); |
| } |
| |
| static char math_frexp_doc [] = |
| "frexp(x)\n\ |
| \n\ |
| Return the matissa and exponent for x. The mantissa is positive."; |
| |
| |
| static PyObject * |
| math_ldexp(self, args) |
| PyObject *self; |
| PyObject *args; |
| { |
| double x, y; |
| /* Cheat -- allow float as second argument */ |
| if (! PyArg_Parse(args, "(dd)", &x, &y)) |
| return NULL; |
| errno = 0; |
| PyFPE_START_PROTECT("ldexp", return 0) |
| x = ldexp(x, (int)y); |
| PyFPE_END_PROTECT(x) |
| CHECK(x); |
| if (errno != 0) |
| return math_error(); |
| else |
| return PyFloat_FromDouble(x); |
| } |
| |
| static char math_ldexp_doc [] = |
| "ldexp_doc(x, i)\n\ |
| \n\ |
| Return x * (2**i)."; |
| |
| |
| static PyObject * |
| math_modf(self, args) |
| PyObject *self; |
| PyObject *args; |
| { |
| double x, y; |
| if (! PyArg_Parse(args, "d", &x)) |
| return NULL; |
| errno = 0; |
| #ifdef MPW /* MPW C modf expects pointer to extended as second argument */ |
| { |
| extended e; |
| x = modf(x, &e); |
| y = e; |
| } |
| #else |
| x = modf(x, &y); |
| #endif |
| CHECK(x); |
| if (errno != 0) |
| return math_error(); |
| return Py_BuildValue("(dd)", x, y); |
| } |
| |
| static char math_modf_doc [] = |
| "modf(x)\n\ |
| \n\ |
| Return the fractional and integer parts of x. Both results carry the sign\n\ |
| of x. The integer part is returned as a real."; |
| |
| |
| static PyMethodDef math_methods[] = { |
| {"acos", math_acos, 0, math_acos_doc}, |
| {"asin", math_asin, 0, math_asin_doc}, |
| {"atan", math_atan, 0, math_atan_doc}, |
| {"atan2", math_atan2, 0, math_atan2_doc}, |
| {"ceil", math_ceil, 0, math_ceil_doc}, |
| {"cos", math_cos, 0, math_cos_doc}, |
| {"cosh", math_cosh, 0, math_cosh_doc}, |
| {"exp", math_exp, 0, math_exp_doc}, |
| {"fabs", math_fabs, 0, math_fabs_doc}, |
| {"floor", math_floor, 0, math_floor_doc}, |
| {"fmod", math_fmod, 0, math_fmod_doc}, |
| {"frexp", math_frexp, 0, math_frexp_doc}, |
| {"hypot", math_hypot, 0, math_hypot_doc}, |
| {"ldexp", math_ldexp, 0, math_ldexp_doc}, |
| {"log", math_log, 0, math_log_doc}, |
| {"log10", math_log10, 0, math_log10_doc}, |
| {"modf", math_modf, 0, math_modf_doc}, |
| {"pow", math_pow, 0, math_pow_doc}, |
| {"sin", math_sin, 0, math_sin_doc}, |
| {"sinh", math_sinh, 0, math_sinh_doc}, |
| {"sqrt", math_sqrt, 0, math_sqrt_doc}, |
| {"tan", math_tan, 0, math_tan_doc}, |
| {"tanh", math_tanh, 0, math_tanh_doc}, |
| {NULL, NULL} /* sentinel */ |
| }; |
| |
| |
| static char module_doc [] = |
| "This module is always available. It provides access to the\n\ |
| mathematical functions defined by the C standard."; |
| |
| DL_EXPORT(void) |
| initmath() |
| { |
| PyObject *m, *d, *v; |
| |
| m = Py_InitModule3("math", math_methods, module_doc); |
| d = PyModule_GetDict(m); |
| |
| if (!(v = PyFloat_FromDouble(atan(1.0) * 4.0))) |
| goto finally; |
| if (PyDict_SetItemString(d, "pi", v) < 0) |
| goto finally; |
| Py_DECREF(v); |
| |
| if (!(v = PyFloat_FromDouble(exp(1.0)))) |
| goto finally; |
| if (PyDict_SetItemString(d, "e", v) < 0) |
| goto finally; |
| Py_DECREF(v); |
| return; |
| |
| finally: |
| Py_FatalError("can't initialize math module"); |
| } |