math.h revision 1.25 
1/*	$OpenBSD: math.h,v 1.25 2009/04/08 23:09:50 martynas Exp $	*/
2/*
3 * ====================================================
4 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
5 *
6 * Developed at SunPro, a Sun Microsystems, Inc. business.
7 * Permission to use, copy, modify, and distribute this
8 * software is freely granted, provided that this notice
9 * is preserved.
10 * ====================================================
11 */
12
13/*
14 * from: @(#)fdlibm.h 5.1 93/09/24
15 */
16
17#ifndef _MATH_H_
18#define _MATH_H_
19
20#include <sys/_types.h>
21#include <sys/cdefs.h>
22#include <sys/limits.h>
23
24/*
25 * ANSI/POSIX
26 */
27extern char __infinity[];
28#define HUGE_VAL	(*(double *)(void *)__infinity)
29
30/*
31 * C99
32 */
33#if __ISO_C_VISIBLE >= 1999
34typedef	__double_t	double_t;
35typedef	__float_t	float_t;
36
37#ifdef __vax__
38extern char __infinityf[];
39#define	HUGE_VALF	(*(float *)(void *)__infinityf)
40#else /* __vax__ */
41#define	HUGE_VALF	((float)HUGE_VAL)
42#endif /* __vax__ */
43#define	HUGE_VALL	((long double)HUGE_VAL)
44#define	INFINITY	HUGE_VALF
45#ifndef __vax__
46extern char __nan[];
47#define	NAN		(*(float *)(void *)__nan)
48#endif /* !__vax__ */
49
50#define	FP_INFINITE	0x01
51#define	FP_NAN		0x02
52#define	FP_NORMAL	0x04
53#define	FP_SUBNORMAL	0x08
54#define	FP_ZERO		0x10
55
56#define FP_ILOGB0	(-INT_MAX)
57#define FP_ILOGBNAN	INT_MAX
58
59#define fpclassify(x) \
60	((sizeof (x) == sizeof (float)) ? \
61		__fpclassifyf(x) \
62	: (sizeof (x) == sizeof (double)) ? \
63		__fpclassify(x) \
64	:	__fpclassifyl(x))
65#define isfinite(x) \
66	((sizeof (x) == sizeof (float)) ? \
67		__isfinitef(x) \
68	: (sizeof (x) == sizeof (double)) ? \
69		__isfinite(x) \
70	:	__isfinitel(x))
71#define isnormal(x) \
72	((sizeof (x) == sizeof (float)) ? \
73		__isnormalf(x) \
74	: (sizeof (x) == sizeof (double)) ? \
75		__isnormal(x) \
76	:	__isnormall(x))
77#define signbit(x) \
78	((sizeof (x) == sizeof (float)) ? \
79		__signbitf(x) \
80	: (sizeof (x) == sizeof (double)) ? \
81		__signbit(x) \
82	:	__signbitl(x))
83
84#define	isgreater(x, y)		(!isunordered((x), (y)) && (x) > (y))
85#define	isgreaterequal(x, y)	(!isunordered((x), (y)) && (x) >= (y))
86#define	isless(x, y)		(!isunordered((x), (y)) && (x) < (y))
87#define	islessequal(x, y)	(!isunordered((x), (y)) && (x) <= (y))
88#define	islessgreater(x, y)	(!isunordered((x), (y)) && \
89					((x) > (y) || (y) > (x)))
90#define	isunordered(x, y)	(isnan(x) || isnan(y))
91#endif /* __ISO_C_VISIBLE >= 1999 */
92
93#define isinf(x) \
94	((sizeof (x) == sizeof (float)) ? \
95		__isinff(x) \
96	: (sizeof (x) == sizeof (double)) ? \
97		__isinf(x) \
98	:	__isinfl(x))
99#define isnan(x) \
100	((sizeof (x) == sizeof (float)) ? \
101		__isnanf(x) \
102	: (sizeof (x) == sizeof (double)) ? \
103		__isnan(x) \
104	:	__isnanl(x))
105
106/*
107 * XOPEN/SVID
108 */
109#if __BSD_VISIBLE || __XPG_VISIBLE
110#define	M_E		2.7182818284590452354	/* e */
111#define	M_LOG2E		1.4426950408889634074	/* log 2e */
112#define	M_LOG10E	0.43429448190325182765	/* log 10e */
113#define	M_LN2		0.69314718055994530942	/* log e2 */
114#define	M_LN10		2.30258509299404568402	/* log e10 */
115#define	M_PI		3.14159265358979323846	/* pi */
116#define	M_PI_2		1.57079632679489661923	/* pi/2 */
117#define	M_PI_4		0.78539816339744830962	/* pi/4 */
118#define	M_1_PI		0.31830988618379067154	/* 1/pi */
119#define	M_2_PI		0.63661977236758134308	/* 2/pi */
120#define	M_2_SQRTPI	1.12837916709551257390	/* 2/sqrt(pi) */
121#define	M_SQRT2		1.41421356237309504880	/* sqrt(2) */
122#define	M_SQRT1_2	0.70710678118654752440	/* 1/sqrt(2) */
123
124#ifdef __vax__
125#define	MAXFLOAT	((float)1.70141173319264430e+38)
126#else
127#define	MAXFLOAT	((float)3.40282346638528860e+38)
128#endif /* __vax__ */
129
130extern int signgam;
131#endif /* __BSD_VISIBLE || __XPG_VISIBLE */
132
133#if __BSD_VISIBLE
134#define	HUGE		MAXFLOAT
135#endif /* __BSD_VISIBLE */
136
137__BEGIN_DECLS
138/*
139 * ANSI/POSIX
140 */
141double acos(double);
142double asin(double);
143double atan(double);
144double atan2(double, double);
145double cos(double);
146double sin(double);
147double tan(double);
148
149double cosh(double);
150double sinh(double);
151double tanh(double);
152
153double exp(double);
154double frexp(double, int *);
155double ldexp(double, int);
156double log(double);
157double log10(double);
158double modf(double, double *);
159
160double pow(double, double);
161double sqrt(double);
162
163double ceil(double);
164double fabs(double);
165double floor(double);
166double fmod(double, double);
167
168/*
169 * C99
170 */
171#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE
172double acosh(double);
173double asinh(double);
174double atanh(double);
175
176double exp2(double);
177double expm1(double);
178int ilogb(double);
179double log1p(double);
180double log2(double);
181double logb(double);
182double scalbn(double, int);
183#if 0
184double scalbln(double, long int);
185#endif
186
187double cbrt(double);
188double hypot(double, double);
189
190double erf(double);
191double erfc(double);
192double lgamma(double);
193double tgamma(double);
194
195#if 0
196double nearbyint(double);
197#endif
198double rint(double);
199long int lrint(double);
200long long int llrint(double);
201double round(double);
202long int lround(double);
203long long int llround(double);
204double trunc(double);
205
206double remainder(double, double);
207double remquo(double, double, int *);
208
209double copysign(double, double);
210double nan(const char *);
211double nextafter(double, double);
212#if 0
213double nexttoward(double, long double);
214#endif
215
216double fdim(double, double);
217double fmax(double, double);
218double fmin(double, double);
219
220#if 0
221double fma(double, double, double);
222#endif
223#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE */
224
225#if __BSD_VISIBLE || __XPG_VISIBLE
226double j0(double);
227double j1(double);
228double jn(int, double);
229double scalb(double, double);
230double y0(double);
231double y1(double);
232double yn(int, double);
233#endif /* __BSD_VISIBLE || __XPG_VISIBLE */
234
235#if __BSD_VISIBLE || __XPG_VISIBLE <= 500
236double gamma(double);
237#endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */
238
239/*
240 * BSD math library entry points
241 */
242#if __BSD_VISIBLE
243double drem(double, double);
244int finite(double);
245
246/*
247 * Reentrant version of gamma & lgamma; passes signgam back by reference
248 * as the second argument; user must allocate space for signgam.
249 */
250double gamma_r(double, int *);
251double lgamma_r(double, int *);
252
253/*
254 * IEEE Test Vector
255 */
256double significand(double);
257#endif /* __BSD_VISIBLE */
258
259/*
260 * Float versions of C99 functions
261 */
262#if __ISO_C_VISIBLE >= 1999
263float acosf(float);
264float asinf(float);
265float atanf(float);
266float atan2f(float, float);
267float cosf(float);
268float sinf(float);
269float tanf(float);
270
271float acoshf(float);
272float asinhf(float);
273float atanhf(float);
274float coshf(float);
275float sinhf(float);
276float tanhf(float);
277
278float expf(float);
279float exp2f(float);
280float expm1f(float);
281float frexpf(float, int *);
282int ilogbf(float);
283float ldexpf(float, int);
284float logf(float);
285float log10f(float);
286float log1pf(float);
287float log2f(float);
288float logbf(float);
289float modff(float, float *);
290float scalbnf(float, int);
291#if 0
292float scalblnf(float, long int);
293#endif
294
295float cbrtf(float);
296float fabsf(float);
297float hypotf(float, float);
298float powf(float, float);
299float sqrtf(float);
300
301float erff(float);
302float erfcf(float);
303float lgammaf(float);
304float tgammaf(float);
305
306float ceilf(float);
307float floorf(float);
308#if 0
309float nearbyintf(float);
310#endif
311float rintf(float);
312long int lrintf(float);
313long long int llrintf(float);
314float roundf(float);
315long int lroundf(float);
316long long int llroundf(float);
317float truncf(float);
318
319float fmodf(float, float);
320float remainderf(float, float);
321float remquof(float, float, int *);
322
323float copysignf(float, float);
324float nanf(const char *);
325float nextafterf(float, float);
326#if 0
327float nexttowardf(float, long double);
328#endif
329
330float fdimf(float, float);
331float fmaxf(float, float);
332float fminf(float, float);
333
334#if 0
335float fmaf(float, float, float);
336#endif
337#endif /* __ISO_C_VISIBLE >= 1999 */
338
339#if __BSD_VISIBLE || __XPG_VISIBLE
340float j0f(float);
341float j1f(float);
342float jnf(int, float);
343float scalbf(float, float);
344float y0f(float);
345float y1f(float);
346float ynf(int, float);
347#endif /* __BSD_VISIBLE || __XPG_VISIBLE */
348
349#if __BSD_VISIBLE || __XPG_VISIBLE <= 500
350float gammaf(float);
351#endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */
352
353/*
354 * Float versions of BSD math library entry points
355 */
356#if __BSD_VISIBLE
357float dremf(float, float);
358int finitef(float);
359int isinff(float);
360int isnanf(float);
361
362/*
363 * Float versions of reentrant version of gamma & lgamma; passes
364 * signgam back by reference as the second argument; user must
365 * allocate space for signgam.
366 */
367float gammaf_r(float, int *);
368float lgammaf_r(float, int *);
369
370/*
371 * Float version of IEEE Test Vector
372 */
373float significandf(float);
374#endif /* __BSD_VISIBLE */
375
376/*
377 * Long double versions of C99 functions
378 */
379#if __ISO_C_VISIBLE >= 1999
380long double acosl(long double);
381long double asinl(long double);
382long double atanl(long double);
383long double atan2l(long double, long double);
384long double cosl(long double);
385long double sinl(long double);
386long double tanl(long double);
387
388#if 0
389long double acoshl(long double);
390long double asinhl(long double);
391long double atanhl(long double);
392long double coshl(long double);
393long double sinhl(long double);
394long double tanhl(long double);
395#endif
396
397#if 0
398long double expl(long double);
399#endif
400long double exp2l(long double);
401#if 0
402long double expm1l(long double);
403#endif
404long double frexpl(long double, int *);
405int ilogbl(long double);
406long double ldexpl(long double, int);
407#if 0
408long double logl(long double);
409long double log10l(long double);
410long double log1pl(long double);
411long double log2l(long double);
412#endif
413long double logbl(long double);
414#if 0
415long double modfl(long double, long double *);
416#endif
417long double scalbnl(long double, int);
418#if 0
419long double scalblnl(long double, long int);
420#endif
421
422#if 0
423long double cbrtl(long double);
424#endif
425long double fabsl(long double);
426#if 0
427long double hypotl(long double, long double);
428long double powl(long double, long double);
429#endif
430long double sqrtl(long double);
431
432#if 0
433long double erfl(long double);
434long double erfcl(long double);
435long double lgammal(long double);
436long double tgammal(long double);
437#endif
438
439#if 0
440long double ceill(long double);
441long double floorl(long double);
442long double nearbyintl(long double);
443#endif
444long double rintl(long double);
445#if 0
446long int lrintl(long double);
447long long int llrintl(long double);
448long double roundl(long double);
449long int lroundl(long double);
450long long int llroundl(long double);
451long double truncl(long double);
452#endif
453
454#if 0
455long double fmodl(long double, long double);
456long double remainderl(long double, long double);
457long double remquol(long double, long double, int *);
458#endif
459
460long double copysignl(long double, long double);
461long double nanl(const char *);
462#if 0
463long double nextafterl(long double, long double);
464long double nexttowardl(long double, long double);
465#endif
466
467long double fdiml(long double, long double);
468long double fmaxl(long double, long double);
469long double fminl(long double, long double);
470
471#if 0
472long double fmal(long double, long double, long double);
473#endif
474#endif /* __ISO_C_VISIBLE >= 1999 */
475
476/*
477 * Library implementation
478 */
479int __fpclassify(double);
480int __fpclassifyf(float);
481int __fpclassifyl(long double);
482int __isfinite(double);
483int __isfinitef(float);
484int __isfinitel(long double);
485int __isinf(double);
486int __isinff(float);
487int __isinfl(long double);
488int __isnan(double);
489int __isnanf(float);
490int __isnanl(long double);
491int __isnormal(double);
492int __isnormalf(float);
493int __isnormall(long double);
494int __signbit(double);
495int __signbitf(float);
496int __signbitl(long double);
497
498#if __BSD_VISIBLE && defined(__vax__)
499double infnan(int);
500#endif /* __BSD_VISIBLE && defined(__vax__) */
501__END_DECLS
502
503#endif /* !_MATH_H_ */
504