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: src/lib/msun/src/math.h,v 1.61 2005/04/16 21:12:47 das Exp $
15 */
16
17#ifndef _MATH_H_
18#define	_MATH_H_
19
20#include <sys/cdefs.h>
21#include <sys/types.h>
22#include <limits.h>
23
24#define __pure2
25
26/*
27 * ANSI/POSIX
28 */
29extern const union __infinity_un {
30	unsigned char	__uc[8];
31	double		__ud;
32} __infinity;
33
34extern const union __nan_un {
35	unsigned char	__uc[sizeof(float)];
36	float		__uf;
37} __nan;
38
39/* #if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800) */
40#if 1
41#define	__MATH_BUILTIN_CONSTANTS
42#endif
43
44/* #if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER) */
45#if 1
46#define	__MATH_BUILTIN_RELOPS
47#endif
48
49/* #ifdef __MATH_BUILTIN_CONSTANTS */
50#if 1
51#define	HUGE_VAL	__builtin_huge_val()
52#else
53#define	HUGE_VAL	(__infinity.__ud)
54#endif
55
56/* #if __ISO_C_VISIBLE >= 1999 */
57#if 0
58#define	FP_ILOGB0	(-__INT_MAX)
59#define	FP_ILOGBNAN	__INT_MAX
60#else
61#define	FP_ILOGB0	(-INT_MAX)
62#define	FP_ILOGBNAN	INT_MAX
63#endif
64
65#ifdef __MATH_BUILTIN_CONSTANTS
66#define	HUGE_VALF	__builtin_huge_valf()
67#define	HUGE_VALL	__builtin_huge_vall()
68#define	INFINITY	__builtin_inf()
69#define	NAN		__builtin_nan("")
70#else
71#define	HUGE_VALF	(float)HUGE_VAL
72#define	HUGE_VALL	(long double)HUGE_VAL
73#define	INFINITY	HUGE_VALF
74#define	NAN		(__nan.__uf)
75#endif /* __MATH_BUILTIN_CONSTANTS */
76
77#define	MATH_ERRNO	1
78#define	MATH_ERREXCEPT	2
79#define	math_errhandling	MATH_ERREXCEPT
80
81/* XXX We need a <machine/math.h>. */
82#if defined(__ia64__) || defined(__sparc64__)
83#define	FP_FAST_FMA
84#endif
85#ifdef __ia64__
86#define	FP_FAST_FMAL
87#endif
88#define	FP_FAST_FMAF
89
90/* Symbolic constants to classify floating point numbers. */
91#define	FP_INFINITE	0x01
92#define	FP_NAN		0x02
93#define	FP_NORMAL	0x04
94#define	FP_SUBNORMAL	0x08
95#define	FP_ZERO		0x10
96#define	fpclassify(x) \
97    ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \
98    : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \
99    : __fpclassifyl(x))
100
101#define	isfinite(x)					\
102    ((sizeof (x) == sizeof (float)) ? __isfinitef(x)	\
103    : (sizeof (x) == sizeof (double)) ? __isfinite(x)	\
104    : __isfinitel(x))
105#define	isinf(x)					\
106    ((sizeof (x) == sizeof (float)) ? __isinff(x)	\
107    : (sizeof (x) == sizeof (double)) ? __isinf(x)	\
108    : __isinfl(x))
109#define	isnan(x)					\
110    ((sizeof (x) == sizeof (float)) ? isnanf(x)		\
111    : (sizeof (x) == sizeof (double)) ? isnan(x)	\
112    : __isnanl(x))
113#define	isnormal(x)					\
114    ((sizeof (x) == sizeof (float)) ? __isnormalf(x)	\
115    : (sizeof (x) == sizeof (double)) ? __isnormal(x)	\
116    : __isnormall(x))
117
118#ifdef __MATH_BUILTIN_RELOPS
119#define	isgreater(x, y)		__builtin_isgreater((x), (y))
120#define	isgreaterequal(x, y)	__builtin_isgreaterequal((x), (y))
121#define	isless(x, y)		__builtin_isless((x), (y))
122#define	islessequal(x, y)	__builtin_islessequal((x), (y))
123#define	islessgreater(x, y)	__builtin_islessgreater((x), (y))
124#define	isunordered(x, y)	__builtin_isunordered((x), (y))
125#else
126#define	isgreater(x, y)		(!isunordered((x), (y)) && (x) > (y))
127#define	isgreaterequal(x, y)	(!isunordered((x), (y)) && (x) >= (y))
128#define	isless(x, y)		(!isunordered((x), (y)) && (x) < (y))
129#define	islessequal(x, y)	(!isunordered((x), (y)) && (x) <= (y))
130#define	islessgreater(x, y)	(!isunordered((x), (y)) && \
131					((x) > (y) || (y) > (x)))
132#define	isunordered(x, y)	(isnan(x) || isnan(y))
133#endif /* __MATH_BUILTIN_RELOPS */
134
135#define	signbit(x)					\
136    ((sizeof (x) == sizeof (float)) ? __signbitf(x)	\
137    : (sizeof (x) == sizeof (double)) ? __signbit(x)	\
138    : __signbitl(x))
139
140#if 0
141typedef	__double_t	double_t;
142typedef	__float_t	float_t;
143#endif
144/* #endif */ /* __ISO_C_VISIBLE >= 1999 */
145
146/*
147 * XOPEN/SVID
148 */
149/* #if __BSD_VISIBLE || __XSI_VISIBLE */
150#define	M_E		2.7182818284590452354	/* e */
151#define	M_LOG2E		1.4426950408889634074	/* log 2e */
152#define	M_LOG10E	0.43429448190325182765	/* log 10e */
153#define	M_LN2		0.69314718055994530942	/* log e2 */
154#define	M_LN10		2.30258509299404568402	/* log e10 */
155#define	M_PI		3.14159265358979323846	/* pi */
156#define	M_PI_2		1.57079632679489661923	/* pi/2 */
157#define	M_PI_4		0.78539816339744830962	/* pi/4 */
158#define	M_1_PI		0.31830988618379067154	/* 1/pi */
159#define	M_2_PI		0.63661977236758134308	/* 2/pi */
160#define	M_2_SQRTPI	1.12837916709551257390	/* 2/sqrt(pi) */
161#define	M_SQRT2		1.41421356237309504880	/* sqrt(2) */
162#define	M_SQRT1_2	0.70710678118654752440	/* 1/sqrt(2) */
163
164#define	MAXFLOAT	((float)3.40282346638528860e+38)
165extern int signgam;
166/* #endif */ /* __BSD_VISIBLE || __XSI_VISIBLE */
167
168#if __BSD_VISIBLE
169#if 0
170/* Old value from 4.4BSD-Lite math.h; this is probably better. */
171#define	HUGE		HUGE_VAL
172#else
173#define	HUGE		MAXFLOAT
174#endif
175#endif /* __BSD_VISIBLE */
176
177/*
178 * Most of these functions depend on the rounding mode and have the side
179 * effect of raising floating-point exceptions, so they are not declared
180 * as __pure2.  In C99, FENV_ACCESS affects the purity of these functions.
181 */
182__BEGIN_DECLS
183/*
184 * ANSI/POSIX
185 */
186int	__fpclassifyd(double) __pure2;
187int	__fpclassifyf(float) __pure2;
188int	__fpclassifyl(long double) __pure2;
189int	__isfinitef(float) __pure2;
190int	__isfinite(double) __pure2;
191int	__isfinitel(long double) __pure2;
192int	__isinff(float) __pure2;
193int     __isinf(double) __pure2;
194int	__isinfl(long double) __pure2;
195int	__isnanl(long double) __pure2;
196int	__isnormalf(float) __pure2;
197int	__isnormal(double) __pure2;
198int	__isnormall(long double) __pure2;
199int	__signbit(double) __pure2;
200int	__signbitf(float) __pure2;
201int	__signbitl(long double) __pure2;
202
203double	acos(double);
204double	asin(double);
205double	atan(double);
206double	atan2(double, double);
207double	cos(double);
208double	sin(double);
209double	tan(double);
210
211double	cosh(double);
212double	sinh(double);
213double	tanh(double);
214
215double	exp(double);
216double	frexp(double, int *);	/* fundamentally !__pure2 */
217double	ldexp(double, int);
218double	log(double);
219double	log10(double);
220double	modf(double, double *);	/* fundamentally !__pure2 */
221
222double	pow(double, double);
223double	sqrt(double);
224
225double	ceil(double);
226double	fabs(double) __pure2;
227double	floor(double);
228double	fmod(double, double);
229
230/*
231 * These functions are not in C90.
232 */
233/* #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
234double	acosh(double);
235double	asinh(double);
236double	atanh(double);
237double	cbrt(double);
238double	erf(double);
239double	erfc(double);
240double	exp2(double);
241double	expm1(double);
242double	fma(double, double, double);
243double	hypot(double, double);
244int	ilogb(double) __pure2;
245/* int	(isinf)(double) __pure2; */
246int	(isnan)(double) __pure2;
247double	lgamma(double);
248long long llrint(double);
249long long llround(double);
250double	log1p(double);
251double	logb(double);
252long	lrint(double);
253long	lround(double);
254double	nextafter(double, double);
255double	remainder(double, double);
256double	remquo(double, double, int *);
257double	rint(double);
258/* #endif */ /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
259
260/* #if __BSD_VISIBLE || __XSI_VISIBLE */
261double	j0(double);
262double	j1(double);
263double	jn(int, double);
264double	scalb(double, double);
265double	y0(double);
266double	y1(double);
267double	yn(int, double);
268
269/* #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE */
270double	gamma(double);
271/* #endif */
272/* #endif */ /* __BSD_VISIBLE || __XSI_VISIBLE */
273
274/* #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 */
275double	copysign(double, double) __pure2;
276double	fdim(double, double);
277double	fmax(double, double) __pure2;
278double	fmin(double, double) __pure2;
279double	nearbyint(double);
280double	round(double);
281double	scalbln(double, long);
282double	scalbn(double, int);
283double	tgamma(double);
284double	trunc(double);
285/* #endif */
286
287/*
288 * BSD math library entry points
289 */
290/* #if __BSD_VISIBLE */
291double	drem(double, double);
292int	finite(double) __pure2;
293int	isnanf(float) __pure2;
294
295/*
296 * Reentrant version of gamma & lgamma; passes signgam back by reference
297 * as the second argument; user must allocate space for signgam.
298 */
299double	gamma_r(double, int *);
300double	lgamma_r(double, int *);
301
302/*
303 * IEEE Test Vector
304 */
305double	significand(double);
306/* #endif */ /* __BSD_VISIBLE */
307
308/* float versions of ANSI/POSIX functions */
309/*#if __ISO_C_VISIBLE >= 1999 */
310float	acosf(float);
311float	asinf(float);
312float	atanf(float);
313float	atan2f(float, float);
314float	cosf(float);
315float	sinf(float);
316float	tanf(float);
317
318float	coshf(float);
319float	sinhf(float);
320float	tanhf(float);
321
322float	exp2f(float);
323float	expf(float);
324float	expm1f(float);
325float	frexpf(float, int *);	/* fundamentally !__pure2 */
326int	ilogbf(float) __pure2;
327float	ldexpf(float, int);
328float	log10f(float);
329float	log1pf(float);
330float	logf(float);
331float	modff(float, float *);	/* fundamentally !__pure2 */
332
333float	powf(float, float);
334float	sqrtf(float);
335
336float	ceilf(float);
337float	fabsf(float) __pure2;
338float	floorf(float);
339float	fmodf(float, float);
340float	roundf(float);
341
342float	erff(float);
343float	erfcf(float);
344float	hypotf(float, float);
345float	lgammaf(float);
346
347float	acoshf(float);
348float	asinhf(float);
349float	atanhf(float);
350float	cbrtf(float);
351float	logbf(float);
352float	copysignf(float, float) __pure2;
353long long llrintf(float);
354long long llroundf(float);
355long	lrintf(float);
356long	lroundf(float);
357float	nearbyintf(float);
358float	nextafterf(float, float);
359float	remainderf(float, float);
360float	remquof(float, float, int *);
361float	rintf(float);
362float	scalblnf(float, long);
363float	scalbnf(float, int);
364float	truncf(float);
365
366float	fdimf(float, float);
367float	fmaf(float, float, float);
368float	fmaxf(float, float) __pure2;
369float	fminf(float, float) __pure2;
370/* #endif */
371
372/*
373 * float versions of BSD math library entry points
374 */
375/* #if __BSD_VISIBLE */
376float	dremf(float, float);
377int	finitef(float) __pure2;
378float	gammaf(float);
379float	j0f(float);
380float	j1f(float);
381float	jnf(int, float);
382float	scalbf(float, float);
383float	y0f(float);
384float	y1f(float);
385float	ynf(int, float);
386
387/*
388 * Float versions of reentrant version of gamma & lgamma; passes
389 * signgam back by reference as the second argument; user must
390 * allocate space for signgam.
391 */
392float	gammaf_r(float, int *);
393float	lgammaf_r(float, int *);
394
395/*
396 * float version of IEEE Test Vector
397 */
398float	significandf(float);
399/* #endif */	/* __BSD_VISIBLE */
400
401/*
402 * long double versions of ISO/POSIX math functions
403 */
404/* #if __ISO_C_VISIBLE >= 1999 */
405#if 0
406long double	acoshl(long double);
407long double	acosl(long double);
408long double	asinhl(long double);
409long double	asinl(long double);
410long double	atan2l(long double, long double);
411long double	atanhl(long double);
412long double	atanl(long double);
413long double	cbrtl(long double);
414#endif
415long double	ceill(long double);
416long double	copysignl(long double, long double) __pure2;
417#if 0
418long double	coshl(long double);
419long double	cosl(long double);
420long double	erfcl(long double);
421long double	erfl(long double);
422long double	exp2l(long double);
423long double	expl(long double);
424long double	expm1l(long double);
425#endif
426long double	fabsl(long double) __pure2;
427long double	fdiml(long double, long double);
428long double	floorl(long double);
429long double	fmal(long double, long double, long double);
430long double	fmaxl(long double, long double) __pure2;
431long double	fminl(long double, long double) __pure2;
432#if 0
433long double	fmodl(long double, long double);
434#endif
435long double	frexpl(long double value, int *); /* fundamentally !__pure2 */
436#if 0
437long double	hypotl(long double, long double);
438#endif
439int		ilogbl(long double) __pure2;
440long double	ldexpl(long double, int);
441#if 0
442long double	lgammal(long double);
443long long	llrintl(long double);
444#endif
445long long	llroundl(long double);
446#if 0
447long double	log10l(long double);
448long double	log1pl(long double);
449long double	log2l(long double);
450long double	logbl(long double);
451long double	logl(long double);
452long		lrintl(long double);
453#endif
454long		lroundl(long double);
455#if 0
456long double	modfl(long double, long double *); /* fundamentally !__pure2 */
457long double	nanl(const char *) __pure2;
458long double	nearbyintl(long double);
459#endif
460long double	nextafterl(long double, long double);
461double		nexttoward(double, long double);
462float		nexttowardf(float, long double);
463long double	nexttowardl(long double, long double);
464#if 0
465long double	powl(long double, long double);
466long double	remainderl(long double, long double);
467long double	remquol(long double, long double, int *);
468long double	rintl(long double);
469#endif
470long double	roundl(long double);
471long double	scalblnl(long double, long);
472long double	scalbnl(long double, int);
473#if 0
474long double	sinhl(long double);
475long double	sinl(long double);
476long double	sqrtl(long double);
477long double	tanhl(long double);
478long double	tanl(long double);
479long double	tgammal(long double);
480#endif
481long double	truncl(long double);
482
483/* BIONIC: GLibc compatibility - required by the ARM toolchain */
484#ifdef _GNU_SOURCE
485void  sincos(double x, double *sin, double *cos);
486void  sincosf(float x, float *sin, float *cos);
487void  sincosl(long double x, long double *sin, long double *cos);
488#endif
489
490/* #endif */ /* __ISO_C_VISIBLE >= 1999 */
491__END_DECLS
492
493#endif /* !_MATH_H_ */
494