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) __NDK_FPABI_MATH__ __pure2;
187int	__fpclassifyf(float) __NDK_FPABI_MATH__ __pure2;
188int	__fpclassifyl(long double) __NDK_FPABI_MATH__ __pure2;
189int	__isfinitef(float) __NDK_FPABI_MATH__ __pure2;
190int	__isfinite(double) __NDK_FPABI_MATH__ __pure2;
191int	__isfinitel(long double) __NDK_FPABI_MATH__ __pure2;
192int	__isinff(float) __NDK_FPABI_MATH__ __pure2;
193int     __isinf(double) __NDK_FPABI_MATH__ __pure2;
194int	__isinfl(long double) __NDK_FPABI_MATH__ __pure2;
195int	__isnanl(long double) __NDK_FPABI_MATH__ __pure2;
196int	__isnormalf(float) __NDK_FPABI_MATH__ __pure2;
197int	__isnormal(double) __NDK_FPABI_MATH__ __pure2;
198int	__isnormall(long double) __NDK_FPABI_MATH__ __pure2;
199int	__signbit(double) __NDK_FPABI_MATH__ __pure2;
200int	__signbitf(float) __NDK_FPABI_MATH__ __pure2;
201int	__signbitl(long double) __NDK_FPABI_MATH__ __pure2;
202
203double	acos(double) __NDK_FPABI_MATH__;
204double	asin(double) __NDK_FPABI_MATH__;
205double	atan(double) __NDK_FPABI_MATH__;
206double	atan2(double, double) __NDK_FPABI_MATH__;
207double	cos(double) __NDK_FPABI_MATH__;
208double	sin(double) __NDK_FPABI_MATH__;
209double	tan(double) __NDK_FPABI_MATH__;
210
211double	cosh(double) __NDK_FPABI_MATH__;
212double	sinh(double) __NDK_FPABI_MATH__;
213double	tanh(double) __NDK_FPABI_MATH__;
214
215double	exp(double) __NDK_FPABI_MATH__;
216double	frexp(double, int *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
217double	ldexp(double, int) __NDK_FPABI_MATH__;
218double	log(double) __NDK_FPABI_MATH__;
219double	log10(double) __NDK_FPABI_MATH__;
220double	modf(double, double *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
221
222double	pow(double, double) __NDK_FPABI_MATH__;
223double	sqrt(double) __NDK_FPABI_MATH__;
224
225double	ceil(double) __NDK_FPABI_MATH__;
226double	fabs(double) __NDK_FPABI_MATH__ __pure2;
227double	floor(double) __NDK_FPABI_MATH__;
228double	fmod(double, double) __NDK_FPABI_MATH__;
229
230/*
231 * These functions are not in C90.
232 */
233/* #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
234double	acosh(double) __NDK_FPABI_MATH__;
235double	asinh(double) __NDK_FPABI_MATH__;
236double	atanh(double) __NDK_FPABI_MATH__;
237double	cbrt(double) __NDK_FPABI_MATH__;
238double	erf(double) __NDK_FPABI_MATH__;
239double	erfc(double) __NDK_FPABI_MATH__;
240double	exp2(double) __NDK_FPABI_MATH__;
241double	expm1(double) __NDK_FPABI_MATH__;
242double	fma(double, double, double) __NDK_FPABI_MATH__;
243double	hypot(double, double) __NDK_FPABI_MATH__;
244int	ilogb(double) __NDK_FPABI_MATH__ __pure2;
245/* int	(isinf)(double) __NDK_FPABI_MATH__ __pure2; */
246int	(isnan)(double) __NDK_FPABI_MATH__ __pure2;
247double	lgamma(double) __NDK_FPABI_MATH__;
248long long llrint(double) __NDK_FPABI_MATH__;
249long long llround(double) __NDK_FPABI_MATH__;
250double	log1p(double) __NDK_FPABI_MATH__;
251double	logb(double) __NDK_FPABI_MATH__;
252long	lrint(double) __NDK_FPABI_MATH__;
253long	lround(double) __NDK_FPABI_MATH__;
254double	nan(const char *) __NDK_FPABI_MATH__ __pure2;
255double	nextafter(double, double) __NDK_FPABI_MATH__;
256double	remainder(double, double) __NDK_FPABI_MATH__;
257double	remquo(double, double, int *) __NDK_FPABI_MATH__;
258double	rint(double) __NDK_FPABI_MATH__;
259/* #endif */ /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
260
261/* #if __BSD_VISIBLE || __XSI_VISIBLE */
262double	j0(double) __NDK_FPABI_MATH__;
263double	j1(double) __NDK_FPABI_MATH__;
264double	jn(int, double) __NDK_FPABI_MATH__;
265double	scalb(double, double) __NDK_FPABI_MATH__;
266double	y0(double) __NDK_FPABI_MATH__;
267double	y1(double) __NDK_FPABI_MATH__;
268double	yn(int, double) __NDK_FPABI_MATH__;
269
270/* #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE */
271double	gamma(double) __NDK_FPABI_MATH__;
272/* #endif */
273/* #endif */ /* __BSD_VISIBLE || __XSI_VISIBLE */
274
275/* #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 */
276double	copysign(double, double) __NDK_FPABI_MATH__ __pure2;
277double	fdim(double, double) __NDK_FPABI_MATH__;
278double	fmax(double, double) __NDK_FPABI_MATH__ __pure2;
279double	fmin(double, double) __NDK_FPABI_MATH__ __pure2;
280double	nearbyint(double) __NDK_FPABI_MATH__;
281double	round(double) __NDK_FPABI_MATH__;
282double	scalbln(double, long) __NDK_FPABI_MATH__;
283double	scalbn(double, int) __NDK_FPABI_MATH__;
284double	tgamma(double) __NDK_FPABI_MATH__;
285double	trunc(double) __NDK_FPABI_MATH__;
286/* #endif */
287
288/*
289 * BSD math library entry points
290 */
291/* #if __BSD_VISIBLE */
292double	drem(double, double) __NDK_FPABI_MATH__;
293int	finite(double) __NDK_FPABI_MATH__ __pure2;
294int	isnanf(float) __NDK_FPABI_MATH__ __pure2;
295
296/*
297 * Reentrant version of gamma & lgamma; passes signgam back by reference
298 * as the second argument; user must allocate space for signgam.
299 */
300double	gamma_r(double, int *) __NDK_FPABI_MATH__;
301double	lgamma_r(double, int *) __NDK_FPABI_MATH__;
302
303/*
304 * IEEE Test Vector
305 */
306double	significand(double) __NDK_FPABI_MATH__;
307/* #endif */ /* __BSD_VISIBLE */
308
309/* float versions of ANSI/POSIX functions */
310/*#if __ISO_C_VISIBLE >= 1999 */
311float	acosf(float) __NDK_FPABI_MATH__;
312float	asinf(float) __NDK_FPABI_MATH__;
313float	atanf(float) __NDK_FPABI_MATH__;
314float	atan2f(float, float) __NDK_FPABI_MATH__;
315float	cosf(float) __NDK_FPABI_MATH__;
316float	sinf(float) __NDK_FPABI_MATH__;
317float	tanf(float) __NDK_FPABI_MATH__;
318
319float	coshf(float) __NDK_FPABI_MATH__;
320float	sinhf(float) __NDK_FPABI_MATH__;
321float	tanhf(float) __NDK_FPABI_MATH__;
322
323float	exp2f(float) __NDK_FPABI_MATH__;
324float	expf(float) __NDK_FPABI_MATH__;
325float	expm1f(float) __NDK_FPABI_MATH__;
326float	frexpf(float, int *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
327int	ilogbf(float) __NDK_FPABI_MATH__ __pure2;
328float	ldexpf(float, int) __NDK_FPABI_MATH__;
329float	log10f(float) __NDK_FPABI_MATH__;
330float	log1pf(float) __NDK_FPABI_MATH__;
331float	logf(float) __NDK_FPABI_MATH__;
332float	modff(float, float *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
333
334float	powf(float, float) __NDK_FPABI_MATH__;
335float	sqrtf(float) __NDK_FPABI_MATH__;
336
337float	ceilf(float) __NDK_FPABI_MATH__;
338float	fabsf(float) __NDK_FPABI_MATH__ __pure2;
339float	floorf(float) __NDK_FPABI_MATH__;
340float	fmodf(float, float) __NDK_FPABI_MATH__;
341float	roundf(float) __NDK_FPABI_MATH__;
342
343float	erff(float) __NDK_FPABI_MATH__;
344float	erfcf(float) __NDK_FPABI_MATH__;
345float	hypotf(float, float) __NDK_FPABI_MATH__;
346float	lgammaf(float) __NDK_FPABI_MATH__;
347float	tgammaf(float) __NDK_FPABI_MATH__;
348
349float	acoshf(float) __NDK_FPABI_MATH__;
350float	asinhf(float) __NDK_FPABI_MATH__;
351float	atanhf(float) __NDK_FPABI_MATH__;
352float	cbrtf(float) __NDK_FPABI_MATH__;
353float	logbf(float) __NDK_FPABI_MATH__;
354float	copysignf(float, float) __NDK_FPABI_MATH__ __pure2;
355long long llrintf(float) __NDK_FPABI_MATH__;
356long long llroundf(float) __NDK_FPABI_MATH__;
357long	lrintf(float) __NDK_FPABI_MATH__;
358long	lroundf(float) __NDK_FPABI_MATH__;
359float	nanf(const char *) __NDK_FPABI_MATH__ __pure2;
360float	nearbyintf(float) __NDK_FPABI_MATH__;
361float	nextafterf(float, float) __NDK_FPABI_MATH__;
362float	remainderf(float, float) __NDK_FPABI_MATH__;
363float	remquof(float, float, int *) __NDK_FPABI_MATH__;
364float	rintf(float) __NDK_FPABI_MATH__;
365float	scalblnf(float, long) __NDK_FPABI_MATH__;
366float	scalbnf(float, int) __NDK_FPABI_MATH__;
367float	truncf(float) __NDK_FPABI_MATH__;
368
369float	fdimf(float, float) __NDK_FPABI_MATH__;
370float	fmaf(float, float, float) __NDK_FPABI_MATH__;
371float	fmaxf(float, float) __NDK_FPABI_MATH__ __pure2;
372float	fminf(float, float) __NDK_FPABI_MATH__ __pure2;
373/* #endif */
374
375/*
376 * float versions of BSD math library entry points
377 */
378/* #if __BSD_VISIBLE */
379float	dremf(float, float) __NDK_FPABI_MATH__;
380int	finitef(float) __NDK_FPABI_MATH__ __pure2;
381float	gammaf(float) __NDK_FPABI_MATH__;
382float	j0f(float) __NDK_FPABI_MATH__;
383float	j1f(float) __NDK_FPABI_MATH__;
384float	jnf(int, float) __NDK_FPABI_MATH__;
385float	scalbf(float, float) __NDK_FPABI_MATH__;
386float	y0f(float) __NDK_FPABI_MATH__;
387float	y1f(float) __NDK_FPABI_MATH__;
388float	ynf(int, float) __NDK_FPABI_MATH__;
389
390/*
391 * Float versions of reentrant version of gamma & lgamma; passes
392 * signgam back by reference as the second argument; user must
393 * allocate space for signgam.
394 */
395float	gammaf_r(float, int *) __NDK_FPABI_MATH__;
396float	lgammaf_r(float, int *) __NDK_FPABI_MATH__;
397
398/*
399 * float version of IEEE Test Vector
400 */
401float	significandf(float) __NDK_FPABI_MATH__;
402/* #endif */	/* __BSD_VISIBLE */
403
404/*
405 * long double versions of ISO/POSIX math functions
406 */
407/* #if __ISO_C_VISIBLE >= 1999 */
408#if 0
409long double	acoshl(long double) __NDK_FPABI_MATH__;
410long double	acosl(long double) __NDK_FPABI_MATH__;
411long double	asinhl(long double) __NDK_FPABI_MATH__;
412long double	asinl(long double) __NDK_FPABI_MATH__;
413long double	atan2l(long double, long double) __NDK_FPABI_MATH__;
414long double	atanhl(long double) __NDK_FPABI_MATH__;
415long double	atanl(long double) __NDK_FPABI_MATH__;
416long double	cbrtl(long double) __NDK_FPABI_MATH__;
417#endif
418long double	ceill(long double) __NDK_FPABI_MATH__;
419long double	copysignl(long double, long double) __NDK_FPABI_MATH__ __pure2;
420#if 0
421long double	coshl(long double) __NDK_FPABI_MATH__;
422long double	cosl(long double) __NDK_FPABI_MATH__;
423long double	erfcl(long double) __NDK_FPABI_MATH__;
424long double	erfl(long double) __NDK_FPABI_MATH__;
425long double	exp2l(long double) __NDK_FPABI_MATH__;
426long double	expl(long double) __NDK_FPABI_MATH__;
427long double	expm1l(long double) __NDK_FPABI_MATH__;
428#endif
429long double	fabsl(long double) __NDK_FPABI_MATH__ __pure2;
430long double	fdiml(long double, long double) __NDK_FPABI_MATH__;
431long double	floorl(long double) __NDK_FPABI_MATH__;
432long double	fmal(long double, long double, long double) __NDK_FPABI_MATH__;
433long double	fmaxl(long double, long double) __NDK_FPABI_MATH__ __pure2;
434long double	fminl(long double, long double) __NDK_FPABI_MATH__ __pure2;
435#if 0
436long double	fmodl(long double, long double) __NDK_FPABI_MATH__;
437#endif
438long double	frexpl(long double value, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
439#if 0
440long double	hypotl(long double, long double) __NDK_FPABI_MATH__;
441#endif
442int		ilogbl(long double) __NDK_FPABI_MATH__ __pure2;
443long double	ldexpl(long double, int) __NDK_FPABI_MATH__;
444#if 0
445long double	lgammal(long double) __NDK_FPABI_MATH__;
446long long	llrintl(long double) __NDK_FPABI_MATH__;
447#endif
448long long	llroundl(long double) __NDK_FPABI_MATH__;
449#if 0
450long double	log10l(long double) __NDK_FPABI_MATH__;
451long double	log1pl(long double) __NDK_FPABI_MATH__;
452long double	log2l(long double) __NDK_FPABI_MATH__;
453long double	logbl(long double) __NDK_FPABI_MATH__;
454long double	logl(long double) __NDK_FPABI_MATH__;
455long		lrintl(long double) __NDK_FPABI_MATH__;
456#endif
457long		lroundl(long double) __NDK_FPABI_MATH__;
458#if 0
459long double	modfl(long double, long double *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
460#endif
461long double	nanl(const char *) __NDK_FPABI_MATH__ __pure2;
462#if 0
463long double	nearbyintl(long double) __NDK_FPABI_MATH__;
464#endif
465long double	nextafterl(long double, long double) __NDK_FPABI_MATH__;
466double		nexttoward(double, long double) __NDK_FPABI_MATH__;
467float		nexttowardf(float, long double) __NDK_FPABI_MATH__;
468long double	nexttowardl(long double, long double) __NDK_FPABI_MATH__;
469#if 0
470long double	powl(long double, long double) __NDK_FPABI_MATH__;
471long double	remainderl(long double, long double) __NDK_FPABI_MATH__;
472long double	remquol(long double, long double, int *) __NDK_FPABI_MATH__;
473long double	rintl(long double) __NDK_FPABI_MATH__;
474#endif
475long double	roundl(long double) __NDK_FPABI_MATH__;
476long double	scalblnl(long double, long) __NDK_FPABI_MATH__;
477long double	scalbnl(long double, int) __NDK_FPABI_MATH__;
478#if 0
479long double	sinhl(long double) __NDK_FPABI_MATH__;
480long double	sinl(long double) __NDK_FPABI_MATH__;
481long double	sqrtl(long double) __NDK_FPABI_MATH__;
482long double	tanhl(long double) __NDK_FPABI_MATH__;
483long double	tanl(long double) __NDK_FPABI_MATH__;
484long double	tgammal(long double) __NDK_FPABI_MATH__;
485#endif
486long double	truncl(long double) __NDK_FPABI_MATH__;
487
488/* BIONIC: GLibc compatibility - required by the ARM toolchain */
489#ifdef _GNU_SOURCE
490void  sincos(double x, double *sin, double *cos) __NDK_FPABI_MATH__;
491void  sincosf(float x, float *sin, float *cos) __NDK_FPABI_MATH__;
492void  sincosl(long double x, long double *sin, long double *cos) __NDK_FPABI_MATH__;
493#endif
494
495/* builtin version of all the above math functions are annotated too */
496
497double	__builtin_acos(double) __NDK_FPABI_MATH__;
498double	__builtin_asin(double) __NDK_FPABI_MATH__;
499double	__builtin_atan(double) __NDK_FPABI_MATH__;
500double	__builtin_atan2(double, double) __NDK_FPABI_MATH__;
501double	__builtin_cos(double) __NDK_FPABI_MATH__;
502double	__builtin_sin(double) __NDK_FPABI_MATH__;
503double	__builtin_tan(double) __NDK_FPABI_MATH__;
504double	__builtin_cosh(double) __NDK_FPABI_MATH__;
505double	__builtin_sinh(double) __NDK_FPABI_MATH__;
506double	__builtin_tanh(double) __NDK_FPABI_MATH__;
507double	__builtin_exp(double) __NDK_FPABI_MATH__;
508double	__builtin_frexp(double, int *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
509double	__builtin_ldexp(double, int) __NDK_FPABI_MATH__;
510double	__builtin_log(double) __NDK_FPABI_MATH__;
511double	__builtin_log10(double) __NDK_FPABI_MATH__;
512double	__builtin_modf(double, double *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
513double	__builtin_pow(double, double) __NDK_FPABI_MATH__;
514double	__builtin_sqrt(double) __NDK_FPABI_MATH__;
515double	__builtin_ceil(double) __NDK_FPABI_MATH__;
516double	__builtin_fabs(double) __NDK_FPABI_MATH__ __pure2;
517double	__builtin_floor(double) __NDK_FPABI_MATH__;
518double	__builtin_fmod(double, double) __NDK_FPABI_MATH__;
519double	__builtin_acosh(double) __NDK_FPABI_MATH__;
520double	__builtin_asinh(double) __NDK_FPABI_MATH__;
521double	__builtin_atanh(double) __NDK_FPABI_MATH__;
522double	__builtin_cbrt(double) __NDK_FPABI_MATH__;
523double	__builtin_erf(double) __NDK_FPABI_MATH__;
524double	__builtin_erfc(double) __NDK_FPABI_MATH__;
525double	__builtin_exp2(double) __NDK_FPABI_MATH__;
526double	__builtin_expm1(double) __NDK_FPABI_MATH__;
527double	__builtin_fma(double, double, double) __NDK_FPABI_MATH__;
528double	__builtin_hypot(double, double) __NDK_FPABI_MATH__;
529int	__builtin_ilogb(double) __NDK_FPABI_MATH__ __pure2;
530/* int	__builtin_isinf(double) __NDK_FPABI_MATH__ __pure2; */
531#if !defined(__clang__)
532/* See upstream bug http://llvm.org/bugs/show_bug.cgi?id=20958 */
533int	__builtin_isnan(double) __NDK_FPABI_MATH__ __pure2;
534#endif
535double	__builtin_lgamma(double) __NDK_FPABI_MATH__;
536long long __builtin_llrint(double) __NDK_FPABI_MATH__;
537long long __builtin_llround(double) __NDK_FPABI_MATH__;
538double	__builtin_log1p(double) __NDK_FPABI_MATH__;
539double	__builtin_logb(double) __NDK_FPABI_MATH__;
540long	__builtin_lrint(double) __NDK_FPABI_MATH__;
541long	__builtin_lround(double) __NDK_FPABI_MATH__;
542double	__builtin_nan(const char *) __NDK_FPABI_MATH__ __pure2;
543double	__builtin_nextafter(double, double) __NDK_FPABI_MATH__;
544double	__builtin_remainder(double, double) __NDK_FPABI_MATH__;
545double	__builtin_remquo(double, double, int *) __NDK_FPABI_MATH__;
546double	__builtin_rint(double) __NDK_FPABI_MATH__;
547double	__builtin_j0(double) __NDK_FPABI_MATH__;
548double	__builtin_j1(double) __NDK_FPABI_MATH__;
549double	__builtin_jn(int, double) __NDK_FPABI_MATH__;
550double	__builtin_scalb(double, double) __NDK_FPABI_MATH__;
551double	__builtin_y0(double) __NDK_FPABI_MATH__;
552double	__builtin_y1(double) __NDK_FPABI_MATH__;
553double	__builtin_yn(int, double) __NDK_FPABI_MATH__;
554double	__builtin_gamma(double) __NDK_FPABI_MATH__;
555double	__builtin_copysign(double, double) __NDK_FPABI_MATH__ __pure2;
556double	__builtin_fdim(double, double) __NDK_FPABI_MATH__;
557double	__builtin_fmax(double, double) __NDK_FPABI_MATH__ __pure2;
558double	__builtin_fmin(double, double) __NDK_FPABI_MATH__ __pure2;
559double	__builtin_nearbyint(double) __NDK_FPABI_MATH__;
560double	__builtin_round(double) __NDK_FPABI_MATH__;
561double	__builtin_scalbln(double, long) __NDK_FPABI_MATH__;
562double	__builtin_scalbn(double, int) __NDK_FPABI_MATH__;
563double	__builtin_tgamma(double) __NDK_FPABI_MATH__;
564double	__builtin_trunc(double) __NDK_FPABI_MATH__;
565double	__builtin_drem(double, double) __NDK_FPABI_MATH__;
566int	__builtin_finite(double) __NDK_FPABI_MATH__ __pure2;
567int	__builtin_isnanf(float) __NDK_FPABI_MATH__ __pure2;
568double	__builtin_gamma_r(double, int *) __NDK_FPABI_MATH__;
569double	__builtin_lgamma_r(double, int *) __NDK_FPABI_MATH__;
570double	__builtin_significand(double) __NDK_FPABI_MATH__;
571float	__builtin_acosf(float) __NDK_FPABI_MATH__;
572float	__builtin_asinf(float) __NDK_FPABI_MATH__;
573float	__builtin_atanf(float) __NDK_FPABI_MATH__;
574float	__builtin_atan2f(float, float) __NDK_FPABI_MATH__;
575float	__builtin_cosf(float) __NDK_FPABI_MATH__;
576float	__builtin_sinf(float) __NDK_FPABI_MATH__;
577float	__builtin_tanf(float) __NDK_FPABI_MATH__;
578float	__builtin_coshf(float) __NDK_FPABI_MATH__;
579float	__builtin_sinhf(float) __NDK_FPABI_MATH__;
580float	__builtin_tanhf(float) __NDK_FPABI_MATH__;
581float	__builtin_exp2f(float) __NDK_FPABI_MATH__;
582float	__builtin_expf(float) __NDK_FPABI_MATH__;
583float	__builtin_expm1f(float) __NDK_FPABI_MATH__;
584float	__builtin_frexpf(float, int *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
585int	__builtin_ilogbf(float) __NDK_FPABI_MATH__ __pure2;
586float	__builtin_ldexpf(float, int) __NDK_FPABI_MATH__;
587float	__builtin_log10f(float) __NDK_FPABI_MATH__;
588float	__builtin_log1pf(float) __NDK_FPABI_MATH__;
589float	__builtin_logf(float) __NDK_FPABI_MATH__;
590float	__builtin_modff(float, float *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
591float	__builtin_powf(float, float) __NDK_FPABI_MATH__;
592float	__builtin_sqrtf(float) __NDK_FPABI_MATH__;
593float	__builtin_ceilf(float) __NDK_FPABI_MATH__;
594float	__builtin_fabsf(float) __NDK_FPABI_MATH__ __pure2;
595float	__builtin_floorf(float) __NDK_FPABI_MATH__;
596float	__builtin_fmodf(float, float) __NDK_FPABI_MATH__;
597float	__builtin_roundf(float) __NDK_FPABI_MATH__;
598float	__builtin_erff(float) __NDK_FPABI_MATH__;
599float	__builtin_erfcf(float) __NDK_FPABI_MATH__;
600float	__builtin_hypotf(float, float) __NDK_FPABI_MATH__;
601float	__builtin_lgammaf(float) __NDK_FPABI_MATH__;
602float	__builtin_tgammaf(float) __NDK_FPABI_MATH__;
603float	__builtin_acoshf(float) __NDK_FPABI_MATH__;
604float	__builtin_asinhf(float) __NDK_FPABI_MATH__;
605float	__builtin_atanhf(float) __NDK_FPABI_MATH__;
606float	__builtin_cbrtf(float) __NDK_FPABI_MATH__;
607float	__builtin_logbf(float) __NDK_FPABI_MATH__;
608float	__builtin_copysignf(float, float) __NDK_FPABI_MATH__ __pure2;
609long long __builtin_llrintf(float) __NDK_FPABI_MATH__;
610long long __builtin_llroundf(float) __NDK_FPABI_MATH__;
611long	__builtin_lrintf(float) __NDK_FPABI_MATH__;
612long	__builtin_lroundf(float) __NDK_FPABI_MATH__;
613float	__builtin_nanf(const char *) __NDK_FPABI_MATH__ __pure2;
614float	__builtin_nearbyintf(float) __NDK_FPABI_MATH__;
615float	__builtin_nextafterf(float, float) __NDK_FPABI_MATH__;
616float	__builtin_remainderf(float, float) __NDK_FPABI_MATH__;
617float	__builtin_remquof(float, float, int *) __NDK_FPABI_MATH__;
618float	__builtin_rintf(float) __NDK_FPABI_MATH__;
619float	__builtin_scalblnf(float, long) __NDK_FPABI_MATH__;
620float	__builtin_scalbnf(float, int) __NDK_FPABI_MATH__;
621float	__builtin_truncf(float) __NDK_FPABI_MATH__;
622float	__builtin_fdimf(float, float) __NDK_FPABI_MATH__;
623float	__builtin_fmaf(float, float, float) __NDK_FPABI_MATH__;
624float	__builtin_fmaxf(float, float) __NDK_FPABI_MATH__ __pure2;
625float	__builtin_fminf(float, float) __NDK_FPABI_MATH__ __pure2;
626float	__builtin_dremf(float, float) __NDK_FPABI_MATH__;
627int	__builtin_finitef(float) __NDK_FPABI_MATH__ __pure2;
628float	__builtin_gammaf(float) __NDK_FPABI_MATH__;
629float	__builtin_j0f(float) __NDK_FPABI_MATH__;
630float	__builtin_j1f(float) __NDK_FPABI_MATH__;
631float	__builtin_jnf(int, float) __NDK_FPABI_MATH__;
632float	__builtin_scalbf(float, float) __NDK_FPABI_MATH__;
633float	__builtin_y0f(float) __NDK_FPABI_MATH__;
634float	__builtin_y1f(float) __NDK_FPABI_MATH__;
635float	__builtin_ynf(int, float) __NDK_FPABI_MATH__;
636float	__builtin_gammaf_r(float, int *) __NDK_FPABI_MATH__;
637float	__builtin_lgammaf_r(float, int *) __NDK_FPABI_MATH__;
638float	__builtin_significandf(float) __NDK_FPABI_MATH__;
639long double	__builtin_acoshl(long double) __NDK_FPABI_MATH__;
640long double	__builtin_acosl(long double) __NDK_FPABI_MATH__;
641long double	__builtin_asinhl(long double) __NDK_FPABI_MATH__;
642long double	__builtin_asinl(long double) __NDK_FPABI_MATH__;
643long double	__builtin_atan2l(long double, long double) __NDK_FPABI_MATH__;
644long double	__builtin_atanhl(long double) __NDK_FPABI_MATH__;
645long double	__builtin_atanl(long double) __NDK_FPABI_MATH__;
646long double	__builtin_cbrtl(long double) __NDK_FPABI_MATH__;
647long double	__builtin_ceill(long double) __NDK_FPABI_MATH__;
648long double	__builtin_copysignl(long double, long double) __NDK_FPABI_MATH__ __pure2;
649long double	__builtin_coshl(long double) __NDK_FPABI_MATH__;
650long double	__builtin_cosl(long double) __NDK_FPABI_MATH__;
651long double	__builtin_erfcl(long double) __NDK_FPABI_MATH__;
652long double	__builtin_erfl(long double) __NDK_FPABI_MATH__;
653long double	__builtin_exp2l(long double) __NDK_FPABI_MATH__;
654long double	__builtin_expl(long double) __NDK_FPABI_MATH__;
655long double	__builtin_expm1l(long double) __NDK_FPABI_MATH__;
656long double	__builtin_fabsl(long double) __NDK_FPABI_MATH__ __pure2;
657long double	__builtin_fdiml(long double, long double) __NDK_FPABI_MATH__;
658long double	__builtin_floorl(long double) __NDK_FPABI_MATH__;
659long double	__builtin_fmal(long double, long double, long double) __NDK_FPABI_MATH__;
660long double	__builtin_fmaxl(long double, long double) __NDK_FPABI_MATH__ __pure2;
661long double	__builtin_fminl(long double, long double) __NDK_FPABI_MATH__ __pure2;
662long double	__builtin_fmodl(long double, long double) __NDK_FPABI_MATH__;
663long double	__builtin_frexpl(long double value, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
664long double	__builtin_hypotl(long double, long double) __NDK_FPABI_MATH__;
665int		__builtin_ilogbl(long double) __NDK_FPABI_MATH__ __pure2;
666long double	__builtin_ldexpl(long double, int) __NDK_FPABI_MATH__;
667long double	__builtin_lgammal(long double) __NDK_FPABI_MATH__;
668long long	__builtin_llrintl(long double) __NDK_FPABI_MATH__;
669long long	__builtin_llroundl(long double) __NDK_FPABI_MATH__;
670long double	__builtin_log10l(long double) __NDK_FPABI_MATH__;
671long double	__builtin_log1pl(long double) __NDK_FPABI_MATH__;
672long double	__builtin_log2l(long double) __NDK_FPABI_MATH__;
673long double	__builtin_logbl(long double) __NDK_FPABI_MATH__;
674long double	__builtin_logl(long double) __NDK_FPABI_MATH__;
675long		__builtin_lrintl(long double) __NDK_FPABI_MATH__;
676long		__builtin_lroundl(long double) __NDK_FPABI_MATH__;
677long double	__builtin_modfl(long double, long double *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
678long double	__builtin_nanl(const char *) __NDK_FPABI_MATH__ __pure2;
679long double	__builtin_nearbyintl(long double) __NDK_FPABI_MATH__;
680long double	__builtin_nextafterl(long double, long double) __NDK_FPABI_MATH__;
681#if !defined(__clang__) || __clang_major__ > 3 || (__clang_major__ == 3 && __clang_minor__ >= 4)
682double		__builtin_nexttoward(double, long double) __NDK_FPABI_MATH__;
683float		__builtin_nexttowardf(float, long double) __NDK_FPABI_MATH__;
684#else
685/* clang < 3.4 */
686double		__builtin_nexttoward(double, double) __NDK_FPABI_MATH__;
687float		__builtin_nexttowardf(float, float) __NDK_FPABI_MATH__;
688#endif
689long double	__builtin_nexttowardl(long double, long double) __NDK_FPABI_MATH__;
690long double	__builtin_powl(long double, long double) __NDK_FPABI_MATH__;
691long double	__builtin_remainderl(long double, long double) __NDK_FPABI_MATH__;
692long double	__builtin_remquol(long double, long double, int *) __NDK_FPABI_MATH__;
693long double	__builtin_rintl(long double) __NDK_FPABI_MATH__;
694long double	__builtin_roundl(long double) __NDK_FPABI_MATH__;
695long double	__builtin_scalblnl(long double, long) __NDK_FPABI_MATH__;
696long double	__builtin_scalbnl(long double, int) __NDK_FPABI_MATH__;
697long double	__builtin_sinhl(long double) __NDK_FPABI_MATH__;
698long double	__builtin_sinl(long double) __NDK_FPABI_MATH__;
699long double	__builtin_sqrtl(long double) __NDK_FPABI_MATH__;
700long double	__builtin_tanhl(long double) __NDK_FPABI_MATH__;
701long double	__builtin_tanl(long double) __NDK_FPABI_MATH__;
702long double	__builtin_tgammal(long double) __NDK_FPABI_MATH__;
703long double	__builtin_truncl(long double) __NDK_FPABI_MATH__;
704void  __builtin_sincos(double x, double *sin, double *cos) __NDK_FPABI_MATH__;
705void  __builtin_sincosf(float x, float *sin, float *cos) __NDK_FPABI_MATH__;
706void  __builtin_sincosl(long double x, long double *sin, long double *cos) __NDK_FPABI_MATH__;
707
708/* #endif */ /* __ISO_C_VISIBLE >= 1999 */
709__END_DECLS
710
711#endif /* !_MATH_H_ */
712