math.h revision 1.26 
1/*	$OpenBSD: math.h,v 1.26 2009/07/25 11:38:09 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);
183double scalbln(double, long int);
184
185double cbrt(double);
186double hypot(double, double);
187
188double erf(double);
189double erfc(double);
190double lgamma(double);
191double tgamma(double);
192
193#if 0
194double nearbyint(double);
195#endif
196double rint(double);
197long int lrint(double);
198long long int llrint(double);
199double round(double);
200long int lround(double);
201long long int llround(double);
202double trunc(double);
203
204double remainder(double, double);
205double remquo(double, double, int *);
206
207double copysign(double, double);
208double nan(const char *);
209double nextafter(double, double);
210#if 0
211double nexttoward(double, long double);
212#endif
213
214double fdim(double, double);
215double fmax(double, double);
216double fmin(double, double);
217
218#if 0
219double fma(double, double, double);
220#endif
221#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE */
222
223#if __BSD_VISIBLE || __XPG_VISIBLE
224double j0(double);
225double j1(double);
226double jn(int, double);
227double scalb(double, double);
228double y0(double);
229double y1(double);
230double yn(int, double);
231#endif /* __BSD_VISIBLE || __XPG_VISIBLE */
232
233#if __BSD_VISIBLE || __XPG_VISIBLE <= 500
234double gamma(double);
235#endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */
236
237/*
238 * BSD math library entry points
239 */
240#if __BSD_VISIBLE
241double drem(double, double);
242int finite(double);
243
244/*
245 * Reentrant version of gamma & lgamma; passes signgam back by reference
246 * as the second argument; user must allocate space for signgam.
247 */
248double gamma_r(double, int *);
249double lgamma_r(double, int *);
250
251/*
252 * IEEE Test Vector
253 */
254double significand(double);
255#endif /* __BSD_VISIBLE */
256
257/*
258 * Float versions of C99 functions
259 */
260#if __ISO_C_VISIBLE >= 1999
261float acosf(float);
262float asinf(float);
263float atanf(float);
264float atan2f(float, float);
265float cosf(float);
266float sinf(float);
267float tanf(float);
268
269float acoshf(float);
270float asinhf(float);
271float atanhf(float);
272float coshf(float);
273float sinhf(float);
274float tanhf(float);
275
276float expf(float);
277float exp2f(float);
278float expm1f(float);
279float frexpf(float, int *);
280int ilogbf(float);
281float ldexpf(float, int);
282float logf(float);
283float log10f(float);
284float log1pf(float);
285float log2f(float);
286float logbf(float);
287float modff(float, float *);
288float scalbnf(float, int);
289float scalblnf(float, long int);
290
291float cbrtf(float);
292float fabsf(float);
293float hypotf(float, float);
294float powf(float, float);
295float sqrtf(float);
296
297float erff(float);
298float erfcf(float);
299float lgammaf(float);
300float tgammaf(float);
301
302float ceilf(float);
303float floorf(float);
304#if 0
305float nearbyintf(float);
306#endif
307float rintf(float);
308long int lrintf(float);
309long long int llrintf(float);
310float roundf(float);
311long int lroundf(float);
312long long int llroundf(float);
313float truncf(float);
314
315float fmodf(float, float);
316float remainderf(float, float);
317float remquof(float, float, int *);
318
319float copysignf(float, float);
320float nanf(const char *);
321float nextafterf(float, float);
322#if 0
323float nexttowardf(float, long double);
324#endif
325
326float fdimf(float, float);
327float fmaxf(float, float);
328float fminf(float, float);
329
330#if 0
331float fmaf(float, float, float);
332#endif
333#endif /* __ISO_C_VISIBLE >= 1999 */
334
335#if __BSD_VISIBLE || __XPG_VISIBLE
336float j0f(float);
337float j1f(float);
338float jnf(int, float);
339float scalbf(float, float);
340float y0f(float);
341float y1f(float);
342float ynf(int, float);
343#endif /* __BSD_VISIBLE || __XPG_VISIBLE */
344
345#if __BSD_VISIBLE || __XPG_VISIBLE <= 500
346float gammaf(float);
347#endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */
348
349/*
350 * Float versions of BSD math library entry points
351 */
352#if __BSD_VISIBLE
353float dremf(float, float);
354int finitef(float);
355int isinff(float);
356int isnanf(float);
357
358/*
359 * Float versions of reentrant version of gamma & lgamma; passes
360 * signgam back by reference as the second argument; user must
361 * allocate space for signgam.
362 */
363float gammaf_r(float, int *);
364float lgammaf_r(float, int *);
365
366/*
367 * Float version of IEEE Test Vector
368 */
369float significandf(float);
370#endif /* __BSD_VISIBLE */
371
372/*
373 * Long double versions of C99 functions
374 */
375#if __ISO_C_VISIBLE >= 1999
376long double acosl(long double);
377long double asinl(long double);
378long double atanl(long double);
379long double atan2l(long double, long double);
380long double cosl(long double);
381long double sinl(long double);
382long double tanl(long double);
383
384#if 0
385long double acoshl(long double);
386long double asinhl(long double);
387long double atanhl(long double);
388long double coshl(long double);
389long double sinhl(long double);
390long double tanhl(long double);
391#endif
392
393#if 0
394long double expl(long double);
395#endif
396long double exp2l(long double);
397#if 0
398long double expm1l(long double);
399#endif
400long double frexpl(long double, int *);
401int ilogbl(long double);
402long double ldexpl(long double, int);
403#if 0
404long double logl(long double);
405long double log10l(long double);
406long double log1pl(long double);
407long double log2l(long double);
408#endif
409long double logbl(long double);
410#if 0
411long double modfl(long double, long double *);
412#endif
413long double scalbnl(long double, int);
414long double scalblnl(long double, long int);
415
416#if 0
417long double cbrtl(long double);
418#endif
419long double fabsl(long double);
420#if 0
421long double hypotl(long double, long double);
422long double powl(long double, long double);
423#endif
424long double sqrtl(long double);
425
426#if 0
427long double erfl(long double);
428long double erfcl(long double);
429long double lgammal(long double);
430long double tgammal(long double);
431#endif
432
433#if 0
434long double ceill(long double);
435long double floorl(long double);
436long double nearbyintl(long double);
437#endif
438long double rintl(long double);
439#if 0
440long int lrintl(long double);
441long long int llrintl(long double);
442long double roundl(long double);
443long int lroundl(long double);
444long long int llroundl(long double);
445long double truncl(long double);
446#endif
447
448#if 0
449long double fmodl(long double, long double);
450long double remainderl(long double, long double);
451long double remquol(long double, long double, int *);
452#endif
453
454long double copysignl(long double, long double);
455long double nanl(const char *);
456#if 0
457long double nextafterl(long double, long double);
458long double nexttowardl(long double, long double);
459#endif
460
461long double fdiml(long double, long double);
462long double fmaxl(long double, long double);
463long double fminl(long double, long double);
464
465#if 0
466long double fmal(long double, long double, long double);
467#endif
468#endif /* __ISO_C_VISIBLE >= 1999 */
469
470/*
471 * Library implementation
472 */
473int __fpclassify(double);
474int __fpclassifyf(float);
475int __fpclassifyl(long double);
476int __isfinite(double);
477int __isfinitef(float);
478int __isfinitel(long double);
479int __isinf(double);
480int __isinff(float);
481int __isinfl(long double);
482int __isnan(double);
483int __isnanf(float);
484int __isnanl(long double);
485int __isnormal(double);
486int __isnormalf(float);
487int __isnormall(long double);
488int __signbit(double);
489int __signbitf(float);
490int __signbitl(long double);
491
492#if __BSD_VISIBLE && defined(__vax__)
493double infnan(int);
494#endif /* __BSD_VISIBLE && defined(__vax__) */
495__END_DECLS
496
497#endif /* !_MATH_H_ */
498