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Guido van Rossumf70e43a1991-02-19 12:39:46 +00001/***********************************************************
Guido van Rossum524b5881995-01-04 19:10:35 +00002Copyright 1991-1995 by Stichting Mathematisch Centrum, Amsterdam,
3The Netherlands.
Guido van Rossumf70e43a1991-02-19 12:39:46 +00004
5 All Rights Reserved
6
Guido van Rossumd266eb41996-10-25 14:44:06 +00007Permission to use, copy, modify, and distribute this software and its
8documentation for any purpose and without fee is hereby granted,
Guido van Rossumf70e43a1991-02-19 12:39:46 +00009provided that the above copyright notice appear in all copies and that
Guido van Rossumd266eb41996-10-25 14:44:06 +000010both that copyright notice and this permission notice appear in
Guido van Rossumf70e43a1991-02-19 12:39:46 +000011supporting documentation, and that the names of Stichting Mathematisch
Guido van Rossumd266eb41996-10-25 14:44:06 +000012Centrum or CWI or Corporation for National Research Initiatives or
13CNRI not be used in advertising or publicity pertaining to
14distribution of the software without specific, written prior
15permission.
Guido van Rossumf70e43a1991-02-19 12:39:46 +000016
Guido van Rossumd266eb41996-10-25 14:44:06 +000017While CWI is the initial source for this software, a modified version
18is made available by the Corporation for National Research Initiatives
19(CNRI) at the Internet address ftp://ftp.python.org.
20
21STICHTING MATHEMATISCH CENTRUM AND CNRI DISCLAIM ALL WARRANTIES WITH
22REGARD TO THIS SOFTWARE, INCLUDING ALL IMPLIED WARRANTIES OF
23MERCHANTABILITY AND FITNESS, IN NO EVENT SHALL STICHTING MATHEMATISCH
24CENTRUM OR CNRI BE LIABLE FOR ANY SPECIAL, INDIRECT OR CONSEQUENTIAL
25DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
26PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
27TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
28PERFORMANCE OF THIS SOFTWARE.
Guido van Rossumf70e43a1991-02-19 12:39:46 +000029
30******************************************************************/
31
Guido van Rossum85a5fbb1990-10-14 12:07:46 +000032/* Math module -- standard C math library functions, pi and e */
33
Barry Warsaw8b43b191996-12-09 22:32:36 +000034#include "Python.h"
Guido van Rossum85a5fbb1990-10-14 12:07:46 +000035
Guido van Rossum6964f731995-03-01 10:34:29 +000036#include "mymath.h"
Guido van Rossum3f5da241990-12-20 15:06:42 +000037
Guido van Rossum7081cf51996-05-23 22:56:19 +000038#ifndef _MSC_VER
Guido van Rossumb9418681995-01-12 11:28:16 +000039#ifndef __STDC__
Barry Warsaw8b43b191996-12-09 22:32:36 +000040extern double fmod Py_PROTO((double, double));
41extern double frexp Py_PROTO((double, int *));
42extern double ldexp Py_PROTO((double, int));
43extern double modf Py_PROTO((double, double *));
Guido van Rossum7081cf51996-05-23 22:56:19 +000044#endif /* __STDC__ */
45#endif /* _MSC_VER */
46
Guido van Rossumb9418681995-01-12 11:28:16 +000047
Guido van Rossum9575a441993-04-07 14:06:14 +000048#ifdef i860
49/* Cray APP has bogus definition of HUGE_VAL in <math.h> */
50#undef HUGE_VAL
51#endif
52
Guido van Rossum8832b621991-12-16 15:44:24 +000053#ifdef HUGE_VAL
54#define CHECK(x) if (errno != 0) ; \
55 else if (-HUGE_VAL <= (x) && (x) <= HUGE_VAL) ; \
56 else errno = ERANGE
57#else
58#define CHECK(x) /* Don't know how to check */
59#endif
60
Barry Warsaw8b43b191996-12-09 22:32:36 +000061static PyObject *
Guido van Rossum8832b621991-12-16 15:44:24 +000062math_error()
63{
64 if (errno == EDOM)
Barry Warsaw8b43b191996-12-09 22:32:36 +000065 PyErr_SetString(PyExc_ValueError, "math domain error");
Guido van Rossum8832b621991-12-16 15:44:24 +000066 else if (errno == ERANGE)
Barry Warsaw8b43b191996-12-09 22:32:36 +000067 PyErr_SetString(PyExc_OverflowError, "math range error");
Guido van Rossum8832b621991-12-16 15:44:24 +000068 else
Barry Warsaw8b43b191996-12-09 22:32:36 +000069 /* Unexpected math error */
70 PyErr_SetFromErrno(PyExc_ValueError);
Guido van Rossum8832b621991-12-16 15:44:24 +000071 return NULL;
72}
73
Barry Warsaw8b43b191996-12-09 22:32:36 +000074static PyObject *
Guido van Rossum85a5fbb1990-10-14 12:07:46 +000075math_1(args, func)
Barry Warsaw8b43b191996-12-09 22:32:36 +000076 PyObject *args;
77 double (*func) Py_FPROTO((double));
Guido van Rossum85a5fbb1990-10-14 12:07:46 +000078{
79 double x;
Roger E. Masse20c63811996-12-18 21:59:01 +000080 if (! PyArg_Parse(args, "d", &x))
Guido van Rossum85a5fbb1990-10-14 12:07:46 +000081 return NULL;
82 errno = 0;
Guido van Rossum52fa3a61997-02-14 22:59:58 +000083 PyFPE_START_PROTECT("in math_1", return 0)
Guido van Rossum85a5fbb1990-10-14 12:07:46 +000084 x = (*func)(x);
Guido van Rossum45b83911997-03-14 04:32:50 +000085 PyFPE_END_PROTECT(x)
Guido van Rossum8832b621991-12-16 15:44:24 +000086 CHECK(x);
Guido van Rossum85a5fbb1990-10-14 12:07:46 +000087 if (errno != 0)
Guido van Rossum8832b621991-12-16 15:44:24 +000088 return math_error();
Guido van Rossum85a5fbb1990-10-14 12:07:46 +000089 else
Barry Warsaw8b43b191996-12-09 22:32:36 +000090 return PyFloat_FromDouble(x);
Guido van Rossum85a5fbb1990-10-14 12:07:46 +000091}
92
Barry Warsaw8b43b191996-12-09 22:32:36 +000093static PyObject *
Guido van Rossum85a5fbb1990-10-14 12:07:46 +000094math_2(args, func)
Barry Warsaw8b43b191996-12-09 22:32:36 +000095 PyObject *args;
96 double (*func) Py_FPROTO((double, double));
Guido van Rossum85a5fbb1990-10-14 12:07:46 +000097{
98 double x, y;
Roger E. Masse20c63811996-12-18 21:59:01 +000099 if (! PyArg_Parse(args, "(dd)", &x, &y))
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000100 return NULL;
101 errno = 0;
Guido van Rossum52fa3a61997-02-14 22:59:58 +0000102 PyFPE_START_PROTECT("in math_2", return 0)
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000103 x = (*func)(x, y);
Guido van Rossum45b83911997-03-14 04:32:50 +0000104 PyFPE_END_PROTECT(x)
Guido van Rossum8832b621991-12-16 15:44:24 +0000105 CHECK(x);
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000106 if (errno != 0)
Guido van Rossum8832b621991-12-16 15:44:24 +0000107 return math_error();
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000108 else
Barry Warsaw8b43b191996-12-09 22:32:36 +0000109 return PyFloat_FromDouble(x);
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000110}
111
112#define FUNC1(stubname, func) \
Barry Warsaw8b43b191996-12-09 22:32:36 +0000113 static PyObject * stubname(self, args) PyObject *self, *args; { \
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000114 return math_1(args, func); \
115 }
116
117#define FUNC2(stubname, func) \
Barry Warsaw8b43b191996-12-09 22:32:36 +0000118 static PyObject * stubname(self, args) PyObject *self, *args; { \
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000119 return math_2(args, func); \
120 }
121
122FUNC1(math_acos, acos)
123FUNC1(math_asin, asin)
124FUNC1(math_atan, atan)
125FUNC2(math_atan2, atan2)
126FUNC1(math_ceil, ceil)
127FUNC1(math_cos, cos)
128FUNC1(math_cosh, cosh)
129FUNC1(math_exp, exp)
Guido van Rossum6412b1d1996-08-08 19:10:21 +0000130#ifdef __MWERKS__
131double myfabs(double x) { return fabs(x); }
132FUNC1(math_fabs, myfabs)
133#else
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000134FUNC1(math_fabs, fabs)
Guido van Rossum6412b1d1996-08-08 19:10:21 +0000135#endif
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000136FUNC1(math_floor, floor)
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000137FUNC2(math_fmod, fmod)
Guido van Rossum411a8bd1994-10-20 22:00:28 +0000138FUNC2(math_hypot, hypot)
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000139FUNC1(math_log, log)
140FUNC1(math_log10, log10)
Guido van Rossum1492c271991-07-27 21:38:43 +0000141#ifdef MPW_3_1 /* This hack is needed for MPW 3.1 but not for 3.2 ... */
Guido van Rossum76f2f2e1991-06-24 22:23:10 +0000142FUNC2(math_pow, power)
143#else
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000144FUNC2(math_pow, pow)
Guido van Rossum76f2f2e1991-06-24 22:23:10 +0000145#endif
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000146FUNC1(math_sin, sin)
147FUNC1(math_sinh, sinh)
148FUNC1(math_sqrt, sqrt)
149FUNC1(math_tan, tan)
150FUNC1(math_tanh, tanh)
151
Guido van Rossumb6775db1994-08-01 11:34:53 +0000152
Barry Warsaw8b43b191996-12-09 22:32:36 +0000153static PyObject *
Guido van Rossumd18ad581991-10-24 14:57:21 +0000154math_frexp(self, args)
Barry Warsaw8b43b191996-12-09 22:32:36 +0000155 PyObject *self;
156 PyObject *args;
Guido van Rossumd18ad581991-10-24 14:57:21 +0000157{
Guido van Rossumd18ad581991-10-24 14:57:21 +0000158 double x;
159 int i;
Roger E. Masse20c63811996-12-18 21:59:01 +0000160 if (! PyArg_Parse(args, "d", &x))
Guido van Rossumd18ad581991-10-24 14:57:21 +0000161 return NULL;
162 errno = 0;
163 x = frexp(x, &i);
Guido van Rossum8832b621991-12-16 15:44:24 +0000164 CHECK(x);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000165 if (errno != 0)
Guido van Rossum8832b621991-12-16 15:44:24 +0000166 return math_error();
Barry Warsaw8b43b191996-12-09 22:32:36 +0000167 return Py_BuildValue("(di)", x, i);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000168}
169
Barry Warsaw8b43b191996-12-09 22:32:36 +0000170static PyObject *
Guido van Rossumd18ad581991-10-24 14:57:21 +0000171math_ldexp(self, args)
Barry Warsaw8b43b191996-12-09 22:32:36 +0000172 PyObject *self;
173 PyObject *args;
Guido van Rossumd18ad581991-10-24 14:57:21 +0000174{
175 double x, y;
176 /* Cheat -- allow float as second argument */
Roger E. Masse20c63811996-12-18 21:59:01 +0000177 if (! PyArg_Parse(args, "(dd)", &x, &y))
Guido van Rossumd18ad581991-10-24 14:57:21 +0000178 return NULL;
179 errno = 0;
Guido van Rossum52fa3a61997-02-14 22:59:58 +0000180 PyFPE_START_PROTECT("ldexp", return 0)
Guido van Rossumd18ad581991-10-24 14:57:21 +0000181 x = ldexp(x, (int)y);
Guido van Rossum45b83911997-03-14 04:32:50 +0000182 PyFPE_END_PROTECT(x)
Guido van Rossum8832b621991-12-16 15:44:24 +0000183 CHECK(x);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000184 if (errno != 0)
Guido van Rossum8832b621991-12-16 15:44:24 +0000185 return math_error();
Guido van Rossumd18ad581991-10-24 14:57:21 +0000186 else
Barry Warsaw8b43b191996-12-09 22:32:36 +0000187 return PyFloat_FromDouble(x);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000188}
189
Barry Warsaw8b43b191996-12-09 22:32:36 +0000190static PyObject *
Guido van Rossumd18ad581991-10-24 14:57:21 +0000191math_modf(self, args)
Barry Warsaw8b43b191996-12-09 22:32:36 +0000192 PyObject *self;
193 PyObject *args;
Guido van Rossumd18ad581991-10-24 14:57:21 +0000194{
Guido van Rossumd18ad581991-10-24 14:57:21 +0000195 double x, y;
Roger E. Masse20c63811996-12-18 21:59:01 +0000196 if (! PyArg_Parse(args, "d", &x))
Guido van Rossumd18ad581991-10-24 14:57:21 +0000197 return NULL;
198 errno = 0;
Guido van Rossumb6775db1994-08-01 11:34:53 +0000199#ifdef MPW /* MPW C modf expects pointer to extended as second argument */
200{
201 extended e;
202 x = modf(x, &e);
203 y = e;
204}
205#else
Guido van Rossumd18ad581991-10-24 14:57:21 +0000206 x = modf(x, &y);
Guido van Rossumb6775db1994-08-01 11:34:53 +0000207#endif
Guido van Rossum8832b621991-12-16 15:44:24 +0000208 CHECK(x);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000209 if (errno != 0)
Guido van Rossum8832b621991-12-16 15:44:24 +0000210 return math_error();
Barry Warsaw8b43b191996-12-09 22:32:36 +0000211 return Py_BuildValue("(dd)", x, y);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000212}
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000213
Barry Warsaw8b43b191996-12-09 22:32:36 +0000214static PyMethodDef math_methods[] = {
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000215 {"acos", math_acos},
216 {"asin", math_asin},
217 {"atan", math_atan},
218 {"atan2", math_atan2},
219 {"ceil", math_ceil},
220 {"cos", math_cos},
221 {"cosh", math_cosh},
222 {"exp", math_exp},
223 {"fabs", math_fabs},
224 {"floor", math_floor},
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000225 {"fmod", math_fmod},
Guido van Rossumd18ad581991-10-24 14:57:21 +0000226 {"frexp", math_frexp},
Guido van Rossum411a8bd1994-10-20 22:00:28 +0000227 {"hypot", math_hypot},
Guido van Rossumd18ad581991-10-24 14:57:21 +0000228 {"ldexp", math_ldexp},
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000229 {"log", math_log},
230 {"log10", math_log10},
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000231 {"modf", math_modf},
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000232 {"pow", math_pow},
233 {"sin", math_sin},
234 {"sinh", math_sinh},
235 {"sqrt", math_sqrt},
236 {"tan", math_tan},
237 {"tanh", math_tanh},
238 {NULL, NULL} /* sentinel */
239};
240
241void
242initmath()
243{
Barry Warsaw8b43b191996-12-09 22:32:36 +0000244 PyObject *m, *d, *v;
Guido van Rossum738d4dd1990-10-26 14:59:30 +0000245
Barry Warsaw8b43b191996-12-09 22:32:36 +0000246 m = Py_InitModule("math", math_methods);
247 d = PyModule_GetDict(m);
Barry Warsawfc93f751996-12-17 00:47:03 +0000248
249 if (!(v = PyFloat_FromDouble(atan(1.0) * 4.0)))
250 goto finally;
251 if (PyDict_SetItemString(d, "pi", v) < 0)
252 goto finally;
Barry Warsaw8b43b191996-12-09 22:32:36 +0000253 Py_DECREF(v);
Barry Warsawfc93f751996-12-17 00:47:03 +0000254
255 if (!(v = PyFloat_FromDouble(exp(1.0))))
256 goto finally;
Guido van Rossum4c4cbf31996-12-18 14:12:22 +0000257 if (PyDict_SetItemString(d, "e", v) < 0)
Barry Warsawfc93f751996-12-17 00:47:03 +0000258 goto finally;
Barry Warsaw8b43b191996-12-09 22:32:36 +0000259 Py_DECREF(v);
Guido van Rossum4a488091996-12-18 14:14:33 +0000260 return;
Barry Warsawfc93f751996-12-17 00:47:03 +0000261
262 finally:
263 Py_FatalError("can't initialize math module");
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000264}