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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
7Permission to use, copy, modify, and distribute this software and its
8documentation for any purpose and without fee is hereby granted,
9provided that the above copyright notice appear in all copies and that
10both that copyright notice and this permission notice appear in
11supporting documentation, and that the names of Stichting Mathematisch
12Centrum or CWI not be used in advertising or publicity pertaining to
13distribution of the software without specific, written prior permission.
14
15STICHTING MATHEMATISCH CENTRUM DISCLAIMS ALL WARRANTIES WITH REGARD TO
16THIS SOFTWARE, INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND
17FITNESS, IN NO EVENT SHALL STICHTING MATHEMATISCH CENTRUM BE LIABLE
18FOR ANY SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
19WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
20ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT
21OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
22
23******************************************************************/
24
Guido van Rossum85a5fbb1990-10-14 12:07:46 +000025/* Math module -- standard C math library functions, pi and e */
26
Guido van Rossum3f5da241990-12-20 15:06:42 +000027#include "allobjects.h"
Guido van Rossum85a5fbb1990-10-14 12:07:46 +000028
Guido van Rossum801f4731990-12-20 23:09:14 +000029#include <errno.h>
Guido van Rossum801f4731990-12-20 23:09:14 +000030
Guido van Rossum234f9421993-06-17 12:35:49 +000031#define getdoublearg(v, a) getargs(v, "d", a)
32#define get2doublearg(v, a, b) getargs(v, "(dd)", a, b)
33
Guido van Rossum6964f731995-03-01 10:34:29 +000034#include "mymath.h"
Guido van Rossum3f5da241990-12-20 15:06:42 +000035
Guido van Rossum7081cf51996-05-23 22:56:19 +000036#ifndef _MSC_VER
Guido van Rossumb9418681995-01-12 11:28:16 +000037#ifndef __STDC__
38extern double fmod PROTO((double, double));
39extern double frexp PROTO((double, int *));
40extern double ldexp PROTO((double, int));
41extern double modf PROTO((double, double *));
Guido van Rossum7081cf51996-05-23 22:56:19 +000042#endif /* __STDC__ */
43#endif /* _MSC_VER */
44
Guido van Rossumb9418681995-01-12 11:28:16 +000045
Guido van Rossum557d6d61996-07-30 20:44:31 +000046#if defined(HAVE_HYPOT)
Guido van Rossumb9418681995-01-12 11:28:16 +000047extern double hypot PROTO((double, double));
Guido van Rossum32062681996-01-12 01:39:11 +000048#else
49double hypot(x,y)
50 double x;
51 double y;
52{
53 double yx;
54
55 x = fabs(x);
56 y = fabs(y);
57 if (x < y) {
58 double temp = x;
59 x = y;
60 y = temp;
61 }
62 if (x == 0.)
63 return 0.;
64 else {
65 yx = y/x;
66 return x*sqrt(1.+yx*yx);
67 }
68}
Guido van Rossumb9418681995-01-12 11:28:16 +000069#endif
70
Guido van Rossum9575a441993-04-07 14:06:14 +000071#ifdef i860
72/* Cray APP has bogus definition of HUGE_VAL in <math.h> */
73#undef HUGE_VAL
74#endif
75
Guido van Rossum8832b621991-12-16 15:44:24 +000076#ifdef HUGE_VAL
77#define CHECK(x) if (errno != 0) ; \
78 else if (-HUGE_VAL <= (x) && (x) <= HUGE_VAL) ; \
79 else errno = ERANGE
80#else
81#define CHECK(x) /* Don't know how to check */
82#endif
83
84static object *
85math_error()
86{
87 if (errno == EDOM)
88 err_setstr(ValueError, "math domain error");
89 else if (errno == ERANGE)
90 err_setstr(OverflowError, "math range error");
91 else
Guido van Rossum444db071992-02-26 15:26:56 +000092 err_errno(ValueError); /* Unexpected math error */
Guido van Rossum8832b621991-12-16 15:44:24 +000093 return NULL;
94}
95
Guido van Rossum85a5fbb1990-10-14 12:07:46 +000096static object *
97math_1(args, func)
98 object *args;
99 double (*func) FPROTO((double));
100{
101 double x;
102 if (!getdoublearg(args, &x))
103 return NULL;
104 errno = 0;
105 x = (*func)(x);
Guido van Rossum8832b621991-12-16 15:44:24 +0000106 CHECK(x);
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000107 if (errno != 0)
Guido van Rossum8832b621991-12-16 15:44:24 +0000108 return math_error();
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000109 else
110 return newfloatobject(x);
111}
112
113static object *
114math_2(args, func)
115 object *args;
116 double (*func) FPROTO((double, double));
117{
118 double x, y;
119 if (!get2doublearg(args, &x, &y))
120 return NULL;
121 errno = 0;
122 x = (*func)(x, y);
Guido van Rossum8832b621991-12-16 15:44:24 +0000123 CHECK(x);
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000124 if (errno != 0)
Guido van Rossum8832b621991-12-16 15:44:24 +0000125 return math_error();
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000126 else
127 return newfloatobject(x);
128}
129
130#define FUNC1(stubname, func) \
131 static object * stubname(self, args) object *self, *args; { \
132 return math_1(args, func); \
133 }
134
135#define FUNC2(stubname, func) \
136 static object * stubname(self, args) object *self, *args; { \
137 return math_2(args, func); \
138 }
139
140FUNC1(math_acos, acos)
141FUNC1(math_asin, asin)
142FUNC1(math_atan, atan)
143FUNC2(math_atan2, atan2)
144FUNC1(math_ceil, ceil)
145FUNC1(math_cos, cos)
146FUNC1(math_cosh, cosh)
147FUNC1(math_exp, exp)
Guido van Rossum6412b1d1996-08-08 19:10:21 +0000148#ifdef __MWERKS__
149double myfabs(double x) { return fabs(x); }
150FUNC1(math_fabs, myfabs)
151#else
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000152FUNC1(math_fabs, fabs)
Guido van Rossum6412b1d1996-08-08 19:10:21 +0000153#endif
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000154FUNC1(math_floor, floor)
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000155FUNC2(math_fmod, fmod)
Guido van Rossum411a8bd1994-10-20 22:00:28 +0000156FUNC2(math_hypot, hypot)
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000157FUNC1(math_log, log)
158FUNC1(math_log10, log10)
Guido van Rossum1492c271991-07-27 21:38:43 +0000159#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 +0000160FUNC2(math_pow, power)
161#else
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000162FUNC2(math_pow, pow)
Guido van Rossum76f2f2e1991-06-24 22:23:10 +0000163#endif
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000164FUNC1(math_sin, sin)
165FUNC1(math_sinh, sinh)
166FUNC1(math_sqrt, sqrt)
167FUNC1(math_tan, tan)
168FUNC1(math_tanh, tanh)
169
Guido van Rossumb6775db1994-08-01 11:34:53 +0000170
Guido van Rossumd18ad581991-10-24 14:57:21 +0000171static object *
172math_frexp(self, args)
173 object *self;
174 object *args;
175{
Guido van Rossumd18ad581991-10-24 14:57:21 +0000176 double x;
177 int i;
178 if (!getdoublearg(args, &x))
179 return NULL;
180 errno = 0;
181 x = frexp(x, &i);
Guido van Rossum8832b621991-12-16 15:44:24 +0000182 CHECK(x);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000183 if (errno != 0)
Guido van Rossum8832b621991-12-16 15:44:24 +0000184 return math_error();
Guido van Rossume5372401993-03-16 12:15:04 +0000185 return mkvalue("(di)", x, i);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000186}
187
188static object *
189math_ldexp(self, args)
190 object *self;
191 object *args;
192{
193 double x, y;
194 /* Cheat -- allow float as second argument */
195 if (!get2doublearg(args, &x, &y))
196 return NULL;
197 errno = 0;
198 x = ldexp(x, (int)y);
Guido van Rossum8832b621991-12-16 15:44:24 +0000199 CHECK(x);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000200 if (errno != 0)
Guido van Rossum8832b621991-12-16 15:44:24 +0000201 return math_error();
Guido van Rossumd18ad581991-10-24 14:57:21 +0000202 else
203 return newfloatobject(x);
204}
205
206static object *
207math_modf(self, args)
208 object *self;
209 object *args;
210{
Guido van Rossumd18ad581991-10-24 14:57:21 +0000211 double x, y;
212 if (!getdoublearg(args, &x))
213 return NULL;
214 errno = 0;
Guido van Rossumb6775db1994-08-01 11:34:53 +0000215#ifdef MPW /* MPW C modf expects pointer to extended as second argument */
216{
217 extended e;
218 x = modf(x, &e);
219 y = e;
220}
221#else
Guido van Rossumd18ad581991-10-24 14:57:21 +0000222 x = modf(x, &y);
Guido van Rossumb6775db1994-08-01 11:34:53 +0000223#endif
Guido van Rossum8832b621991-12-16 15:44:24 +0000224 CHECK(x);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000225 if (errno != 0)
Guido van Rossum8832b621991-12-16 15:44:24 +0000226 return math_error();
Guido van Rossume5372401993-03-16 12:15:04 +0000227 return mkvalue("(dd)", x, y);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000228}
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000229
230static struct methodlist math_methods[] = {
231 {"acos", math_acos},
232 {"asin", math_asin},
233 {"atan", math_atan},
234 {"atan2", math_atan2},
235 {"ceil", math_ceil},
236 {"cos", math_cos},
237 {"cosh", math_cosh},
238 {"exp", math_exp},
239 {"fabs", math_fabs},
240 {"floor", math_floor},
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000241 {"fmod", math_fmod},
Guido van Rossumd18ad581991-10-24 14:57:21 +0000242 {"frexp", math_frexp},
Guido van Rossum411a8bd1994-10-20 22:00:28 +0000243 {"hypot", math_hypot},
Guido van Rossumd18ad581991-10-24 14:57:21 +0000244 {"ldexp", math_ldexp},
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000245 {"log", math_log},
246 {"log10", math_log10},
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000247 {"modf", math_modf},
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000248 {"pow", math_pow},
249 {"sin", math_sin},
250 {"sinh", math_sinh},
251 {"sqrt", math_sqrt},
252 {"tan", math_tan},
253 {"tanh", math_tanh},
254 {NULL, NULL} /* sentinel */
255};
256
257void
258initmath()
259{
260 object *m, *d, *v;
Guido van Rossum738d4dd1990-10-26 14:59:30 +0000261
262 m = initmodule("math", math_methods);
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000263 d = getmoduledict(m);
Guido van Rossumeb38d241990-11-18 17:36:45 +0000264 dictinsert(d, "pi", v = newfloatobject(atan(1.0) * 4.0));
265 DECREF(v);
266 dictinsert(d, "e", v = newfloatobject(exp(1.0)));
267 DECREF(v);
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000268}