math.h revision 1.30 1 /* $NetBSD: math.h,v 1.30 2004/01/17 01:04:46 uwe Exp $ */
2
3 /*
4 * ====================================================
5 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
6 *
7 * Developed at SunPro, a Sun Microsystems, Inc. business.
8 * Permission to use, copy, modify, and distribute this
9 * software is freely granted, provided that this notice
10 * is preserved.
11 * ====================================================
12 */
13
14 /*
15 * @(#)fdlibm.h 5.1 93/09/24
16 */
17
18 #ifndef _MATH_H_
19 #define _MATH_H_
20
21 #include <sys/cdefs.h>
22 #include <sys/featuretest.h>
23
24 union __float_u {
25 unsigned char __dummy[sizeof(float)];
26 float __val;
27 };
28
29 union __double_u {
30 unsigned char __dummy[sizeof(double)];
31 double __val;
32 };
33
34 union __long_double_u {
35 unsigned char __dummy[sizeof(long double)];
36 long double __val;
37 };
38
39 #include <machine/math.h> /* may use __float_u, __double_u,
40 or __long_double_u */
41
42 #ifdef __HAVE_LONG_DOUBLE
43 #define __fpmacro_unary_floating(__name, __arg0) \
44 ((sizeof (__arg0) == sizeof (float)) \
45 ? __ ## __name ## f (__arg0) \
46 : (sizeof (__arg0) == sizeof (double)) \
47 ? __ ## __name ## d (__arg0) \
48 : __ ## __name ## l (__arg0))
49 #else
50 #define __fpmacro_unary_floating(__name, __arg0) \
51 ((sizeof (__arg0) == sizeof (float)) \
52 ? __ ## __name ## f (__arg0) \
53 : __ ## __name ## d (__arg0))
54 #endif /* __HAVE_LONG_DOUBLE */
55
56 /*
57 * ANSI/POSIX
58 */
59 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
60 extern __const union __double_u __infinity;
61 #define HUGE_VAL __infinity.__val
62
63 /*
64 * ISO C99
65 */
66 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
67 !defined(_XOPEN_SOURCE) || \
68 ((__STDC_VERSION__ - 0) >= 199901L) || \
69 ((_POSIX_C_SOURCE - 0) >= 200112L) || \
70 ((_XOPEN_SOURCE - 0) >= 600) || \
71 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE)
72 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
73 extern __const union __float_u __infinityf;
74 #define HUGE_VALF __infinityf.__val
75
76 extern __const union __long_double_u __infinityl;
77 #define HUGE_VALL __infinityl.__val
78
79 /* 7.12#4 INFINITY */
80 #ifdef __INFINITY
81 #define INFINITY __INFINITY /* float constant which overflows */
82 #else
83 #define INFINITY HUGE_VALF /* positive infinity */
84 #endif /* __INFINITY */
85
86 /* 7.12#5 NAN: a quiet NaN, if supported */
87 #ifdef __HAVE_NANF
88 extern __const union __float_u __nanf;
89 #define NAN __nanf.__val
90 #endif /* __HAVE_NANF */
91
92 /* 7.12#6 number classification macros */
93 #define FP_INFINITE 0x00
94 #define FP_NAN 0x01
95 #define FP_NORMAL 0x02
96 #define FP_SUBNORMAL 0x03
97 #define FP_ZERO 0x04
98 /* NetBSD extensions */
99 #define _FP_LOMD 0x80 /* range for machine-specific classes */
100 #define _FP_HIMD 0xff
101
102 #endif /* !_ANSI_SOURCE && ... */
103
104 /*
105 * XOPEN/SVID
106 */
107 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE)
108 #define M_E 2.7182818284590452354 /* e */
109 #define M_LOG2E 1.4426950408889634074 /* log 2e */
110 #define M_LOG10E 0.43429448190325182765 /* log 10e */
111 #define M_LN2 0.69314718055994530942 /* log e2 */
112 #define M_LN10 2.30258509299404568402 /* log e10 */
113 #define M_PI 3.14159265358979323846 /* pi */
114 #define M_PI_2 1.57079632679489661923 /* pi/2 */
115 #define M_PI_4 0.78539816339744830962 /* pi/4 */
116 #define M_1_PI 0.31830988618379067154 /* 1/pi */
117 #define M_2_PI 0.63661977236758134308 /* 2/pi */
118 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
119 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
120 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
121
122 #define MAXFLOAT ((float)3.40282346638528860e+38)
123 extern int signgam;
124 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */
125
126 #if defined(_NETBSD_SOURCE)
127 enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
128
129 #define _LIB_VERSION_TYPE enum fdversion
130 #define _LIB_VERSION _fdlib_version
131
132 /* if global variable _LIB_VERSION is not desirable, one may
133 * change the following to be a constant by:
134 * #define _LIB_VERSION_TYPE const enum version
135 * In that case, after one initializes the value _LIB_VERSION (see
136 * s_lib_version.c) during compile time, it cannot be modified
137 * in the middle of a program
138 */
139 extern _LIB_VERSION_TYPE _LIB_VERSION;
140
141 #define _IEEE_ fdlibm_ieee
142 #define _SVID_ fdlibm_svid
143 #define _XOPEN_ fdlibm_xopen
144 #define _POSIX_ fdlibm_posix
145
146 #ifndef __cplusplus
147 struct exception {
148 int type;
149 char *name;
150 double arg1;
151 double arg2;
152 double retval;
153 };
154 #endif
155
156 #define HUGE MAXFLOAT
157
158 /*
159 * set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
160 * (one may replace the following line by "#include <values.h>")
161 */
162
163 #define X_TLOSS 1.41484755040568800000e+16
164
165 #define DOMAIN 1
166 #define SING 2
167 #define OVERFLOW 3
168 #define UNDERFLOW 4
169 #define TLOSS 5
170 #define PLOSS 6
171
172 #endif /* _NETBSD_SOURCE */
173
174 __BEGIN_DECLS
175 /*
176 * ANSI/POSIX
177 */
178 double acos __P((double));
179 double asin __P((double));
180 double atan __P((double));
181 double atan2 __P((double, double));
182 double cos __P((double));
183 double sin __P((double));
184 double tan __P((double));
185
186 double cosh __P((double));
187 double sinh __P((double));
188 double tanh __P((double));
189
190 double exp __P((double));
191 double frexp __P((double, int *));
192 double ldexp __P((double, int));
193 double log __P((double));
194 double log10 __P((double));
195 double modf __P((double, double *));
196
197 double pow __P((double, double));
198 double sqrt __P((double));
199
200 double ceil __P((double));
201 double fabs __P((double));
202 double floor __P((double));
203 double fmod __P((double, double));
204
205 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE)
206 double erf __P((double));
207 double erfc __P((double));
208 double gamma __P((double));
209 double hypot __P((double, double));
210 int isnan __P((double));
211 #if defined(_LIBC)
212 int isnanl __P((long double));
213 #endif
214 int finite __P((double));
215 double j0 __P((double));
216 double j1 __P((double));
217 double jn __P((int, double));
218 double lgamma __P((double));
219 double y0 __P((double));
220 double y1 __P((double));
221 double yn __P((int, double));
222
223 #if (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)
224 double acosh __P((double));
225 double asinh __P((double));
226 double atanh __P((double));
227 double cbrt __P((double));
228 double expm1 __P((double));
229 int ilogb __P((double));
230 double log1p __P((double));
231 double logb __P((double));
232 double nextafter __P((double, double));
233 double remainder __P((double, double));
234 double rint __P((double));
235 double scalb __P((double, double));
236 #endif /* (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)*/
237 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */
238
239 /*
240 * ISO C99
241 */
242 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
243 !defined(_XOPEN_SOURCE) || \
244 ((__STDC_VERSION__ - 0) >= 199901L) || \
245 ((_POSIX_C_SOURCE - 0) >= 200112L) || \
246 ((_XOPEN_SOURCE - 0) >= 600) || \
247 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE)
248 /* 7.12.3.1 int fpclassify(real-floating x) */
249 #define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x)
250
251 /* 7.12.3.2 int isfinite(real-floating x) */
252 #define isfinite(__x) __fpmacro_unary_floating(isfinite, __x)
253
254 /* 7.12.3.5 int isnormal(real-floating x) */
255 #define isnormal(__x) (fpclassify(__x) == FP_NORMAL)
256
257 /* 7.12.3.6 int signbit(real-floating x) */
258 #define signbit(__x) __fpmacro_unary_floating(signbit, __x)
259
260 #endif /* !_ANSI_SOURCE && ... */
261
262 #if defined(_NETBSD_SOURCE)
263 #ifndef __cplusplus
264 int matherr __P((struct exception *));
265 #endif
266
267 /*
268 * IEEE Test Vector
269 */
270 double significand __P((double));
271
272 /*
273 * Functions callable from C, intended to support IEEE arithmetic.
274 */
275 double copysign __P((double, double));
276 double scalbn __P((double, int));
277
278 /*
279 * BSD math library entry points
280 */
281 #ifndef __MATH_PRIVATE__
282 double cabs __P((/* struct complex { double r; double i; } */));
283 #endif
284 double drem __P((double, double));
285
286 #endif /* _NETBSD_SOURCE */
287
288 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT)
289 /*
290 * Reentrant version of gamma & lgamma; passes signgam back by reference
291 * as the second argument; user must allocate space for signgam.
292 */
293 double gamma_r __P((double, int *));
294 double lgamma_r __P((double, int *));
295 #endif /* _NETBSD_SOURCE || _REENTRANT */
296
297
298 #if defined(_NETBSD_SOURCE)
299 int isinf __P((double));
300 #if defined(_LIBC)
301 int isinfl __P((long double));
302 #endif
303
304 /* float versions of ANSI/POSIX functions */
305 float acosf __P((float));
306 float asinf __P((float));
307 float atanf __P((float));
308 float atan2f __P((float, float));
309 float cosf __P((float));
310 float sinf __P((float));
311 float tanf __P((float));
312
313 float coshf __P((float));
314 float sinhf __P((float));
315 float tanhf __P((float));
316
317 float expf __P((float));
318 float frexpf __P((float, int *));
319 float ldexpf __P((float, int));
320 float logf __P((float));
321 float log10f __P((float));
322 float modff __P((float, float *));
323
324 float powf __P((float, float));
325 float sqrtf __P((float));
326
327 float ceilf __P((float));
328 float fabsf __P((float));
329 float floorf __P((float));
330 float fmodf __P((float, float));
331
332 float erff __P((float));
333 float erfcf __P((float));
334 float gammaf __P((float));
335 float hypotf __P((float, float));
336 int isinff __P((float));
337 int isnanf __P((float));
338 int finitef __P((float));
339 float j0f __P((float));
340 float j1f __P((float));
341 float jnf __P((int, float));
342 float lgammaf __P((float));
343 float y0f __P((float));
344 float y1f __P((float));
345 float ynf __P((int, float));
346
347 float acoshf __P((float));
348 float asinhf __P((float));
349 float atanhf __P((float));
350 float cbrtf __P((float));
351 float logbf __P((float));
352 float nextafterf __P((float, float));
353 float remainderf __P((float, float));
354 float scalbf __P((float, float));
355
356 /*
357 * float version of IEEE Test Vector
358 */
359 float significandf __P((float));
360
361 /*
362 * Float versions of functions callable from C, intended to support
363 * IEEE arithmetic.
364 */
365 float copysignf __P((float, float));
366 int ilogbf __P((float));
367 float rintf __P((float));
368 float scalbnf __P((float, int));
369
370 /*
371 * float versions of BSD math library entry points
372 */
373 #ifndef __MATH_PRIVATE__
374 float cabsf __P((/* struct complex { float r; float i; } */));
375 #endif
376 float dremf __P((float, float));
377 float expm1f __P((float));
378 float log1pf __P((float));
379 #endif /* _NETBSD_SOURCE */
380
381 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT)
382 /*
383 * Float versions of reentrant version of gamma & lgamma; passes
384 * signgam back by reference as the second argument; user must
385 * allocate space for signgam.
386 */
387 float gammaf_r __P((float, int *));
388 float lgammaf_r __P((float, int *));
389 #endif /* !... || _REENTRANT */
390
391 /*
392 * Library implementation
393 */
394 int __fpclassifyf __P((float));
395 int __fpclassifyd __P((double));
396 int __isfinitef __P((float));
397 int __isfinited __P((double));
398 int __signbitf __P((float));
399 int __signbitd __P((double));
400
401 #ifdef __HAVE_LONG_DOUBLE
402 int __fpclassifyl __P((long double));
403 int __isfinitel __P((long double));
404 int __signbitl __P((long double));
405 #endif
406 __END_DECLS
407
408 #endif /* _MATH_H_ */
409