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- /***********************************************************
- 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"
-
- #include "protos/mathmodule.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;
- }
-
- #ifdef __SASC
- static PyObject *math_post_f(double x)
- {
- CHECK(x);
- if(errno!=0) return math_error();
- else return PyFloat_FromDouble(x);
- }
-
- #define FUNC1(stubname, func, docstring_name, docstring) \
- static PyObject * stubname(PyObject *self, PyObject*args) { \
- 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) return math_post_f(x); } \
- static char docstring_name [] = docstring;
-
- #define FUNC2(stubname, func, docstring_name, docstring) \
- static PyObject * stubname(PyObject *self, PyObject *args) { \
- 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) return math_post_f(x); } \
- static char docstring_name [] = docstring;
- #else /* !__SASC */
- 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);
- }
-
- #ifdef HAVE_PROTOTYPES
- #define FUNC1(stubname, func, docstring_name, docstring) \
- static PyObject * stubname(PyObject *self, PyObject *args) { \
- return math_1(args, func); \
- }\
- static char docstring_name [] = docstring;
-
- #define FUNC2(stubname, func, docstring_name, docstring) \
- static PyObject * stubname(PyObject *self, PyObject *args) { \
- return math_2(args, func); \
- }\
- static char docstring_name [] = docstring;
- #else /* !HAVE_PROTOTYPES */
- #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;
- #endif /* HAVE_PROTOTYPES */
-
- #endif /* !__SASC */
-
- 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(y, x)\n\nReturn atan(y/x).")
- 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");
- }
-