math.h revision a588f905ab81bd9d0b644741e0847fba7dcb24bf
1/*
2 * ====================================================
3 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
4 *
5 * Developed at SunPro, a Sun Microsystems, Inc. business.
6 * Permission to use, copy, modify, and distribute this
7 * software is freely granted, provided that this notice
8 * is preserved.
9 * ====================================================
10 */
11
12/*
13 * from: @(#)fdlibm.h 5.1 93/09/24
14 * $FreeBSD$
15 */
16
17#ifndef _MATH_H_
18#define _MATH_H_
19
20#include <sys/cdefs.h>
21#include <limits.h>
22
23__BEGIN_DECLS
24#pragma GCC visibility push(default)
25
26#define HUGE_VAL	__builtin_huge_val()
27
28#if __ISO_C_VISIBLE >= 1999
29#define FP_ILOGB0	(-INT_MAX)
30#define FP_ILOGBNAN	INT_MAX
31
32#define HUGE_VALF	__builtin_huge_valf()
33#define HUGE_VALL	__builtin_huge_vall()
34#define INFINITY	__builtin_inff()
35#define NAN		__builtin_nanf("")
36
37#define MATH_ERRNO	1
38#define MATH_ERREXCEPT	2
39#define math_errhandling	MATH_ERREXCEPT
40
41#if defined(__FP_FAST_FMA)
42#define FP_FAST_FMA 1
43#endif
44#if defined(__FP_FAST_FMAF)
45#define FP_FAST_FMAF 1
46#endif
47#if defined(__FP_FAST_FMAL)
48#define FP_FAST_FMAL 1
49#endif
50
51/* Symbolic constants to classify floating point numbers. */
52#define FP_INFINITE	0x01
53#define FP_NAN		0x02
54#define FP_NORMAL	0x04
55#define FP_SUBNORMAL	0x08
56#define FP_ZERO		0x10
57#define fpclassify(x) \
58    __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, FP_SUBNORMAL, FP_ZERO, x)
59
60#define isfinite(x) __builtin_isfinite(x)
61#define isinf(x) __builtin_isinf(x)
62#define isnan(x) __builtin_isnan(x)
63#define isnormal(x) __builtin_isnormal(x)
64
65#define isgreater(x, y) __builtin_isgreater((x), (y))
66#define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
67#define isless(x, y) __builtin_isless((x), (y))
68#define islessequal(x, y) __builtin_islessequal((x), (y))
69#define islessgreater(x, y) __builtin_islessgreater((x), (y))
70#define isunordered(x, y) __builtin_isunordered((x), (y))
71
72#define signbit(x) \
73    ((sizeof(x) == sizeof(float)) ? __builtin_signbitf(x) \
74    : (sizeof(x) == sizeof(double)) ? __builtin_signbit(x) \
75    : __builtin_signbitl(x))
76
77typedef double __double_t;
78typedef __double_t double_t;
79typedef float __float_t;
80typedef __float_t float_t;
81#endif /* __ISO_C_VISIBLE >= 1999 */
82
83/*
84 * XOPEN/SVID
85 */
86#if __BSD_VISIBLE || __XSI_VISIBLE
87#define	M_E		2.7182818284590452354	/* e */
88#define	M_LOG2E		1.4426950408889634074	/* log 2e */
89#define	M_LOG10E	0.43429448190325182765	/* log 10e */
90#define	M_LN2		0.69314718055994530942	/* log e2 */
91#define	M_LN10		2.30258509299404568402	/* log e10 */
92#define	M_PI		3.14159265358979323846	/* pi */
93#define	M_PI_2		1.57079632679489661923	/* pi/2 */
94#define	M_PI_4		0.78539816339744830962	/* pi/4 */
95#define	M_1_PI		0.31830988618379067154	/* 1/pi */
96#define	M_2_PI		0.63661977236758134308	/* 2/pi */
97#define	M_2_SQRTPI	1.12837916709551257390	/* 2/sqrt(pi) */
98#define	M_SQRT2		1.41421356237309504880	/* sqrt(2) */
99#define	M_SQRT1_2	0.70710678118654752440	/* 1/sqrt(2) */
100
101#define	MAXFLOAT	((float)3.40282346638528860e+38)
102extern int signgam;
103#endif /* __BSD_VISIBLE || __XSI_VISIBLE */
104
105#if __USE_GNU
106#define M_El            2.718281828459045235360287471352662498L /* e */
107#define M_LOG2El        1.442695040888963407359924681001892137L /* log 2e */
108#define M_LOG10El       0.434294481903251827651128918916605082L /* log 10e */
109#define M_LN2l          0.693147180559945309417232121458176568L /* log e2 */
110#define M_LN10l         2.302585092994045684017991454684364208L /* log e10 */
111#define M_PIl           3.141592653589793238462643383279502884L /* pi */
112#define M_PI_2l         1.570796326794896619231321691639751442L /* pi/2 */
113#define M_PI_4l         0.785398163397448309615660845819875721L /* pi/4 */
114#define M_1_PIl         0.318309886183790671537767526745028724L /* 1/pi */
115#define M_2_PIl         0.636619772367581343075535053490057448L /* 2/pi */
116#define M_2_SQRTPIl     1.128379167095512573896158903121545172L /* 2/sqrt(pi) */
117#define M_SQRT2l        1.414213562373095048801688724209698079L /* sqrt(2) */
118#define M_SQRT1_2l      0.707106781186547524400844362104849039L /* 1/sqrt(2) */
119#endif
120
121#if __BSD_VISIBLE
122#if 0
123/* Old value from 4.4BSD-Lite math.h; this is probably better. */
124#define	HUGE		HUGE_VAL
125#else
126#define	HUGE		MAXFLOAT
127#endif
128#endif /* __BSD_VISIBLE */
129
130/*
131 * Most of these functions depend on the rounding mode and have the side
132 * effect of raising floating-point exceptions, so they are not declared
133 * as __pure2.  In C99, FENV_ACCESS affects the purity of these functions.
134 */
135
136/*
137 * ANSI/POSIX
138 */
139int	__fpclassifyd(double) __pure2;
140int	__fpclassifyf(float) __pure2;
141int	__fpclassifyl(long double) __pure2;
142int	__isfinitef(float) __pure2;
143int	__isfinite(double) __pure2;
144int	__isfinitel(long double) __pure2;
145int	__isinff(float) __pure2;
146int	__isinfl(long double) __pure2;
147int	__isnanf(float) __pure2;
148int	__isnanl(long double) __pure2;
149int	__isnormalf(float) __pure2;
150int	__isnormal(double) __pure2;
151int	__isnormall(long double) __pure2;
152int	__signbit(double) __pure2;
153int	__signbitf(float) __pure2;
154int	__signbitl(long double) __pure2;
155
156double	acos(double);
157double	asin(double);
158double	atan(double);
159double	atan2(double, double);
160double	cos(double);
161double	sin(double);
162double	tan(double);
163
164double	cosh(double);
165double	sinh(double);
166double	tanh(double);
167
168double	exp(double);
169double	frexp(double, int *);	/* fundamentally !__pure2 */
170double	ldexp(double, int);
171double	log(double);
172double	log10(double);
173double	modf(double, double *);	/* fundamentally !__pure2 */
174
175double	pow(double, double);
176double	sqrt(double);
177
178double	ceil(double);
179double	fabs(double) __pure2;
180double	floor(double);
181double	fmod(double, double);
182
183/*
184 * These functions are not in C90.
185 */
186#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE
187double	acosh(double);
188double	asinh(double);
189double	atanh(double);
190double	cbrt(double);
191double	erf(double);
192double	erfc(double);
193double	exp2(double);
194double	expm1(double);
195double	fma(double, double, double);
196double	hypot(double, double);
197int	ilogb(double) __pure2;
198int	(isinf)(double) __pure2;
199int	(isnan)(double) __pure2;
200double	lgamma(double);
201long long llrint(double);
202long long llround(double);
203double	log1p(double);
204double	log2(double);
205double	logb(double);
206long	lrint(double);
207long	lround(double);
208double	nan(const char *) __pure2;
209double	nextafter(double, double);
210double	remainder(double, double);
211double	remquo(double, double, int *);
212double	rint(double);
213#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
214
215#if __BSD_VISIBLE || __XSI_VISIBLE
216double	j0(double);
217double	j1(double);
218double	jn(int, double);
219double	y0(double);
220double	y1(double);
221double	yn(int, double);
222
223#if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
224double	gamma(double);
225#endif
226
227#if __XSI_VISIBLE <= 600 || __BSD_VISIBLE
228double	scalb(double, double);
229#endif
230#endif /* __BSD_VISIBLE || __XSI_VISIBLE */
231
232#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
233double	copysign(double, double) __pure2;
234double	fdim(double, double);
235double	fmax(double, double) __pure2;
236double	fmin(double, double) __pure2;
237double	nearbyint(double);
238double	round(double);
239double	scalbln(double, long);
240double	scalbn(double, int);
241double	tgamma(double);
242double	trunc(double);
243#endif
244
245/*
246 * BSD math library entry points
247 */
248#if __BSD_VISIBLE
249double	drem(double, double);
250int	finite(double) __pure2;
251int	isnanf(float) __pure2;
252long double significandl(long double);
253
254/*
255 * Reentrant version of gamma & lgamma; passes signgam back by reference
256 * as the second argument; user must allocate space for signgam.
257 */
258double	gamma_r(double, int *);
259double	lgamma_r(double, int *);
260
261/*
262 * IEEE Test Vector
263 */
264double	significand(double);
265#endif /* __BSD_VISIBLE */
266
267/* float versions of ANSI/POSIX functions */
268#if __ISO_C_VISIBLE >= 1999
269float	acosf(float);
270float	asinf(float);
271float	atanf(float);
272float	atan2f(float, float);
273float	cosf(float);
274float	sinf(float);
275float	tanf(float);
276
277float	coshf(float);
278float	sinhf(float);
279float	tanhf(float);
280
281float	exp2f(float);
282float	expf(float);
283float	expm1f(float);
284float	frexpf(float, int *);	/* fundamentally !__pure2 */
285int	ilogbf(float) __pure2;
286float	ldexpf(float, int);
287float	log10f(float);
288float	log1pf(float);
289float	log2f(float);
290float	logf(float);
291float	modff(float, float *);	/* fundamentally !__pure2 */
292
293float	powf(float, float);
294float	sqrtf(float);
295
296float	ceilf(float);
297float	fabsf(float) __pure2;
298float	floorf(float);
299float	fmodf(float, float);
300float	roundf(float);
301
302float	erff(float);
303float	erfcf(float);
304float	hypotf(float, float);
305float	lgammaf(float);
306float	tgammaf(float);
307
308float	acoshf(float);
309float	asinhf(float);
310float	atanhf(float);
311float	cbrtf(float);
312float	logbf(float);
313float	copysignf(float, float) __pure2;
314long long llrintf(float);
315long long llroundf(float);
316long	lrintf(float);
317long	lroundf(float);
318float	nanf(const char *) __pure2;
319float	nearbyintf(float);
320float	nextafterf(float, float);
321float	remainderf(float, float);
322float	remquof(float, float, int *);
323float	rintf(float);
324float	scalblnf(float, long);
325float	scalbnf(float, int);
326float	truncf(float);
327
328float	fdimf(float, float);
329float	fmaf(float, float, float);
330float	fmaxf(float, float) __pure2;
331float	fminf(float, float) __pure2;
332#endif
333
334/*
335 * float versions of BSD math library entry points
336 */
337#if __BSD_VISIBLE
338float	dremf(float, float);
339int	finitef(float) __pure2;
340float	gammaf(float);
341float	j0f(float);
342float	j1f(float);
343float	jnf(int, float);
344float	scalbf(float, float);
345float	y0f(float);
346float	y1f(float);
347float	ynf(int, float);
348
349/*
350 * Float versions of reentrant version of gamma & lgamma; passes
351 * signgam back by reference as the second argument; user must
352 * allocate space for signgam.
353 */
354float	gammaf_r(float, int *);
355float	lgammaf_r(float, int *);
356
357/*
358 * float version of IEEE Test Vector
359 */
360float	significandf(float);
361#endif	/* __BSD_VISIBLE */
362
363/*
364 * long double versions of ISO/POSIX math functions
365 */
366#if __ISO_C_VISIBLE >= 1999
367long double	acoshl(long double);
368long double	acosl(long double);
369long double	asinhl(long double);
370long double	asinl(long double);
371long double	atan2l(long double, long double);
372long double	atanhl(long double);
373long double	atanl(long double);
374long double	cbrtl(long double);
375long double	ceill(long double);
376long double	copysignl(long double, long double) __pure2;
377long double	coshl(long double);
378long double	cosl(long double);
379long double	erfcl(long double);
380long double	erfl(long double);
381long double	exp2l(long double);
382long double	expl(long double);
383long double	expm1l(long double);
384long double	fabsl(long double) __pure2;
385long double	fdiml(long double, long double);
386long double	floorl(long double);
387long double	fmal(long double, long double, long double);
388long double	fmaxl(long double, long double) __pure2;
389long double	fminl(long double, long double) __pure2;
390long double	fmodl(long double, long double);
391long double	frexpl(long double value, int *); /* fundamentally !__pure2 */
392long double	hypotl(long double, long double);
393int		ilogbl(long double) __pure2;
394long double	ldexpl(long double, int);
395long double	lgammal(long double);
396long long	llrintl(long double);
397long long	llroundl(long double);
398long double	log10l(long double);
399long double	log1pl(long double);
400long double	log2l(long double);
401long double	logbl(long double);
402long double	logl(long double);
403long		lrintl(long double);
404long		lroundl(long double);
405long double	modfl(long double, long double *); /* fundamentally !__pure2 */
406long double	nanl(const char *) __pure2;
407long double	nearbyintl(long double);
408long double	nextafterl(long double, long double);
409double		nexttoward(double, long double);
410float		nexttowardf(float, long double);
411long double	nexttowardl(long double, long double);
412long double	powl(long double, long double);
413long double	remainderl(long double, long double);
414long double	remquol(long double, long double, int *);
415long double	rintl(long double);
416long double	roundl(long double);
417long double	scalblnl(long double, long);
418long double	scalbnl(long double, int);
419long double	sinhl(long double);
420long double	sinl(long double);
421long double	sqrtl(long double);
422long double	tanhl(long double);
423long double	tanl(long double);
424long double	tgammal(long double);
425long double	truncl(long double);
426#endif /* __ISO_C_VISIBLE >= 1999 */
427
428#if __BSD_VISIBLE
429long double	lgammal_r(long double, int *);
430#endif
431
432#if defined(__USE_GNU)
433void sincos(double, double*, double*);
434void sincosf(float, float*, float*);
435void sincosl(long double, long double*, long double*);
436#endif /* __USE_GNU */
437
438#pragma GCC visibility pop
439__END_DECLS
440
441#endif /* !_MATH_H_ */
442