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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 Rossum9caac911995-06-14 22:17:37 +000046#if defined(HAVE_HYPOT) && !defined(NeXT)
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)
148FUNC1(math_fabs, fabs)
149FUNC1(math_floor, floor)
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000150FUNC2(math_fmod, fmod)
Guido van Rossum411a8bd1994-10-20 22:00:28 +0000151FUNC2(math_hypot, hypot)
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000152FUNC1(math_log, log)
153FUNC1(math_log10, log10)
Guido van Rossum1492c271991-07-27 21:38:43 +0000154#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 +0000155FUNC2(math_pow, power)
156#else
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000157FUNC2(math_pow, pow)
Guido van Rossum76f2f2e1991-06-24 22:23:10 +0000158#endif
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000159FUNC1(math_sin, sin)
160FUNC1(math_sinh, sinh)
161FUNC1(math_sqrt, sqrt)
162FUNC1(math_tan, tan)
163FUNC1(math_tanh, tanh)
164
Guido van Rossumb6775db1994-08-01 11:34:53 +0000165
Guido van Rossumd18ad581991-10-24 14:57:21 +0000166static object *
167math_frexp(self, args)
168 object *self;
169 object *args;
170{
Guido van Rossumd18ad581991-10-24 14:57:21 +0000171 double x;
172 int i;
173 if (!getdoublearg(args, &x))
174 return NULL;
175 errno = 0;
176 x = frexp(x, &i);
Guido van Rossum8832b621991-12-16 15:44:24 +0000177 CHECK(x);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000178 if (errno != 0)
Guido van Rossum8832b621991-12-16 15:44:24 +0000179 return math_error();
Guido van Rossume5372401993-03-16 12:15:04 +0000180 return mkvalue("(di)", x, i);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000181}
182
183static object *
184math_ldexp(self, args)
185 object *self;
186 object *args;
187{
188 double x, y;
189 /* Cheat -- allow float as second argument */
190 if (!get2doublearg(args, &x, &y))
191 return NULL;
192 errno = 0;
193 x = ldexp(x, (int)y);
Guido van Rossum8832b621991-12-16 15:44:24 +0000194 CHECK(x);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000195 if (errno != 0)
Guido van Rossum8832b621991-12-16 15:44:24 +0000196 return math_error();
Guido van Rossumd18ad581991-10-24 14:57:21 +0000197 else
198 return newfloatobject(x);
199}
200
201static object *
202math_modf(self, args)
203 object *self;
204 object *args;
205{
Guido van Rossumd18ad581991-10-24 14:57:21 +0000206 double x, y;
207 if (!getdoublearg(args, &x))
208 return NULL;
209 errno = 0;
Guido van Rossumb6775db1994-08-01 11:34:53 +0000210#ifdef MPW /* MPW C modf expects pointer to extended as second argument */
211{
212 extended e;
213 x = modf(x, &e);
214 y = e;
215}
216#else
Guido van Rossumd18ad581991-10-24 14:57:21 +0000217 x = modf(x, &y);
Guido van Rossumb6775db1994-08-01 11:34:53 +0000218#endif
Guido van Rossum8832b621991-12-16 15:44:24 +0000219 CHECK(x);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000220 if (errno != 0)
Guido van Rossum8832b621991-12-16 15:44:24 +0000221 return math_error();
Guido van Rossume5372401993-03-16 12:15:04 +0000222 return mkvalue("(dd)", x, y);
Guido van Rossumd18ad581991-10-24 14:57:21 +0000223}
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000224
225static struct methodlist math_methods[] = {
226 {"acos", math_acos},
227 {"asin", math_asin},
228 {"atan", math_atan},
229 {"atan2", math_atan2},
230 {"ceil", math_ceil},
231 {"cos", math_cos},
232 {"cosh", math_cosh},
233 {"exp", math_exp},
234 {"fabs", math_fabs},
235 {"floor", math_floor},
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000236 {"fmod", math_fmod},
Guido van Rossumd18ad581991-10-24 14:57:21 +0000237 {"frexp", math_frexp},
Guido van Rossum411a8bd1994-10-20 22:00:28 +0000238 {"hypot", math_hypot},
Guido van Rossumd18ad581991-10-24 14:57:21 +0000239 {"ldexp", math_ldexp},
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000240 {"log", math_log},
241 {"log10", math_log10},
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000242 {"modf", math_modf},
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000243 {"pow", math_pow},
244 {"sin", math_sin},
245 {"sinh", math_sinh},
246 {"sqrt", math_sqrt},
247 {"tan", math_tan},
248 {"tanh", math_tanh},
249 {NULL, NULL} /* sentinel */
250};
251
252void
253initmath()
254{
255 object *m, *d, *v;
Guido van Rossum738d4dd1990-10-26 14:59:30 +0000256
257 m = initmodule("math", math_methods);
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000258 d = getmoduledict(m);
Guido van Rossumeb38d241990-11-18 17:36:45 +0000259 dictinsert(d, "pi", v = newfloatobject(atan(1.0) * 4.0));
260 DECREF(v);
261 dictinsert(d, "e", v = newfloatobject(exp(1.0)));
262 DECREF(v);
Guido van Rossum85a5fbb1990-10-14 12:07:46 +0000263}