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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)
130FUNC1(math_fabs, fabs)
131FUNC1(math_floor, floor)
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000132FUNC2(math_fmod, fmod)
Guido van Rossum411a8bd1994-10-20 22:00:28 +0000133FUNC2(math_hypot, hypot)
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000134FUNC1(math_log, log)
135FUNC1(math_log10, log10)
Guido van Rossum1492c271991-07-27 21:38:43 +0000136#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 +0000137FUNC2(math_pow, power)
138#else
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000139FUNC2(math_pow, pow)
Guido van Rossum76f2f2e1991-06-24 22:23:10 +0000140#endif
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000141FUNC1(math_sin, sin)
142FUNC1(math_sinh, sinh)
143FUNC1(math_sqrt, sqrt)
144FUNC1(math_tan, tan)
145FUNC1(math_tanh, tanh)
146
Guido van Rossumb6775db1994-08-01 11:34:53 +0000147
Barry Warsaw8b43b191996-12-09 22:32:36 +0000148static PyObject *
Guido van Rossumd18ad581991-10-24 14:57:21 +0000149math_frexp(self, args)
Barry Warsaw8b43b191996-12-09 22:32:36 +0000150 PyObject *self;
151 PyObject *args;
Guido van Rossumd18ad581991-10-24 14:57:21 +0000152{
Guido van Rossumd18ad581991-10-24 14:57:21 +0000153 double x;
154 int i;
Roger E. Masse20c63811996-12-18 21:59:01 +0000155 if (! PyArg_Parse(args, "d", &x))
Guido van Rossumd18ad581991-10-24 14:57:21 +0000156 return NULL;
157 errno = 0;
158 x = frexp(x, &i);
Guido van Rossum8832b621991-12-16 15:44:24 +0000159 CHECK(x);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000160 if (errno != 0)
Guido van Rossum8832b621991-12-16 15:44:24 +0000161 return math_error();
Barry Warsaw8b43b191996-12-09 22:32:36 +0000162 return Py_BuildValue("(di)", x, i);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000163}
164
Barry Warsaw8b43b191996-12-09 22:32:36 +0000165static PyObject *
Guido van Rossumd18ad581991-10-24 14:57:21 +0000166math_ldexp(self, args)
Barry Warsaw8b43b191996-12-09 22:32:36 +0000167 PyObject *self;
168 PyObject *args;
Guido van Rossumd18ad581991-10-24 14:57:21 +0000169{
170 double x, y;
171 /* Cheat -- allow float as second argument */
Roger E. Masse20c63811996-12-18 21:59:01 +0000172 if (! PyArg_Parse(args, "(dd)", &x, &y))
Guido van Rossumd18ad581991-10-24 14:57:21 +0000173 return NULL;
174 errno = 0;
Guido van Rossum52fa3a61997-02-14 22:59:58 +0000175 PyFPE_START_PROTECT("ldexp", return 0)
Guido van Rossumd18ad581991-10-24 14:57:21 +0000176 x = ldexp(x, (int)y);
Guido van Rossum45b83911997-03-14 04:32:50 +0000177 PyFPE_END_PROTECT(x)
Guido van Rossum8832b621991-12-16 15:44:24 +0000178 CHECK(x);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000179 if (errno != 0)
Guido van Rossum8832b621991-12-16 15:44:24 +0000180 return math_error();
Guido van Rossumd18ad581991-10-24 14:57:21 +0000181 else
Barry Warsaw8b43b191996-12-09 22:32:36 +0000182 return PyFloat_FromDouble(x);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000183}
184
Barry Warsaw8b43b191996-12-09 22:32:36 +0000185static PyObject *
Guido van Rossumd18ad581991-10-24 14:57:21 +0000186math_modf(self, args)
Barry Warsaw8b43b191996-12-09 22:32:36 +0000187 PyObject *self;
188 PyObject *args;
Guido van Rossumd18ad581991-10-24 14:57:21 +0000189{
Guido van Rossumd18ad581991-10-24 14:57:21 +0000190 double x, y;
Roger E. Masse20c63811996-12-18 21:59:01 +0000191 if (! PyArg_Parse(args, "d", &x))
Guido van Rossumd18ad581991-10-24 14:57:21 +0000192 return NULL;
193 errno = 0;
Guido van Rossumb6775db1994-08-01 11:34:53 +0000194#ifdef MPW /* MPW C modf expects pointer to extended as second argument */
195{
196 extended e;
197 x = modf(x, &e);
198 y = e;
199}
200#else
Guido van Rossumd18ad581991-10-24 14:57:21 +0000201 x = modf(x, &y);
Guido van Rossumb6775db1994-08-01 11:34:53 +0000202#endif
Guido van Rossum8832b621991-12-16 15:44:24 +0000203 CHECK(x);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000204 if (errno != 0)
Guido van Rossum8832b621991-12-16 15:44:24 +0000205 return math_error();
Barry Warsaw8b43b191996-12-09 22:32:36 +0000206 return Py_BuildValue("(dd)", x, y);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000207}
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000208
Barry Warsaw8b43b191996-12-09 22:32:36 +0000209static PyMethodDef math_methods[] = {
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000210 {"acos", math_acos},
211 {"asin", math_asin},
212 {"atan", math_atan},
213 {"atan2", math_atan2},
214 {"ceil", math_ceil},
215 {"cos", math_cos},
216 {"cosh", math_cosh},
217 {"exp", math_exp},
218 {"fabs", math_fabs},
219 {"floor", math_floor},
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000220 {"fmod", math_fmod},
Guido van Rossumd18ad581991-10-24 14:57:21 +0000221 {"frexp", math_frexp},
Guido van Rossum411a8bd1994-10-20 22:00:28 +0000222 {"hypot", math_hypot},
Guido van Rossumd18ad581991-10-24 14:57:21 +0000223 {"ldexp", math_ldexp},
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000224 {"log", math_log},
225 {"log10", math_log10},
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000226 {"modf", math_modf},
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000227 {"pow", math_pow},
228 {"sin", math_sin},
229 {"sinh", math_sinh},
230 {"sqrt", math_sqrt},
231 {"tan", math_tan},
232 {"tanh", math_tanh},
233 {NULL, NULL} /* sentinel */
234};
235
236void
237initmath()
238{
Barry Warsaw8b43b191996-12-09 22:32:36 +0000239 PyObject *m, *d, *v;
Guido van Rossum738d4dd1990-10-26 14:59:30 +0000240
Barry Warsaw8b43b191996-12-09 22:32:36 +0000241 m = Py_InitModule("math", math_methods);
242 d = PyModule_GetDict(m);
Barry Warsawfc93f751996-12-17 00:47:03 +0000243
244 if (!(v = PyFloat_FromDouble(atan(1.0) * 4.0)))
245 goto finally;
246 if (PyDict_SetItemString(d, "pi", v) < 0)
247 goto finally;
Barry Warsaw8b43b191996-12-09 22:32:36 +0000248 Py_DECREF(v);
Barry Warsawfc93f751996-12-17 00:47:03 +0000249
250 if (!(v = PyFloat_FromDouble(exp(1.0))))
251 goto finally;
Guido van Rossum4c4cbf31996-12-18 14:12:22 +0000252 if (PyDict_SetItemString(d, "e", v) < 0)
Barry Warsawfc93f751996-12-17 00:47:03 +0000253 goto finally;
Barry Warsaw8b43b191996-12-09 22:32:36 +0000254 Py_DECREF(v);
Guido van Rossum4a488091996-12-18 14:14:33 +0000255 return;
Barry Warsawfc93f751996-12-17 00:47:03 +0000256
257 finally:
258 Py_FatalError("can't initialize math module");
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000259}