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  */
29 extern const union __infinity_un {
30 	unsigned char	__uc[8];
31 	double		__ud;
32 } __infinity;
33 
34 extern 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
141 typedef	__double_t	double_t;
142 typedef	__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)
165 extern 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  */
186 int	__fpclassifyd(double) __NDK_FPABI_MATH__ __pure2;
187 int	__fpclassifyf(float) __NDK_FPABI_MATH__ __pure2;
188 int	__fpclassifyl(long double) __NDK_FPABI_MATH__ __pure2;
189 int	__isfinitef(float) __NDK_FPABI_MATH__ __pure2;
190 int	__isfinite(double) __NDK_FPABI_MATH__ __pure2;
191 int	__isfinitel(long double) __NDK_FPABI_MATH__ __pure2;
192 int	__isinff(float) __NDK_FPABI_MATH__ __pure2;
193 int     __isinf(double) __NDK_FPABI_MATH__ __pure2;
194 int	__isinfl(long double) __NDK_FPABI_MATH__ __pure2;
195 int	__isnanl(long double) __NDK_FPABI_MATH__ __pure2;
196 int	__isnormalf(float) __NDK_FPABI_MATH__ __pure2;
197 int	__isnormal(double) __NDK_FPABI_MATH__ __pure2;
198 int	__isnormall(long double) __NDK_FPABI_MATH__ __pure2;
199 int	__signbit(double) __NDK_FPABI_MATH__ __pure2;
200 int	__signbitf(float) __NDK_FPABI_MATH__ __pure2;
201 int	__signbitl(long double) __NDK_FPABI_MATH__ __pure2;
202 
203 double	acos(double) __NDK_FPABI_MATH__;
204 double	asin(double) __NDK_FPABI_MATH__;
205 double	atan(double) __NDK_FPABI_MATH__;
206 double	atan2(double, double) __NDK_FPABI_MATH__;
207 double	cos(double) __NDK_FPABI_MATH__;
208 double	sin(double) __NDK_FPABI_MATH__;
209 double	tan(double) __NDK_FPABI_MATH__;
210 
211 double	cosh(double) __NDK_FPABI_MATH__;
212 double	sinh(double) __NDK_FPABI_MATH__;
213 double	tanh(double) __NDK_FPABI_MATH__;
214 
215 double	exp(double) __NDK_FPABI_MATH__;
216 double	frexp(double, int *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
217 double	ldexp(double, int) __NDK_FPABI_MATH__;
218 double	log(double) __NDK_FPABI_MATH__;
219 double	log10(double) __NDK_FPABI_MATH__;
220 double	modf(double, double *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
221 
222 double	pow(double, double) __NDK_FPABI_MATH__;
223 double	sqrt(double) __NDK_FPABI_MATH__;
224 
225 double	ceil(double) __NDK_FPABI_MATH__;
226 double	fabs(double) __NDK_FPABI_MATH__ __pure2;
227 double	floor(double) __NDK_FPABI_MATH__;
228 double	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 */
234 double	acosh(double) __NDK_FPABI_MATH__;
235 double	asinh(double) __NDK_FPABI_MATH__;
236 double	atanh(double) __NDK_FPABI_MATH__;
237 double	cbrt(double) __NDK_FPABI_MATH__;
238 double	erf(double) __NDK_FPABI_MATH__;
239 double	erfc(double) __NDK_FPABI_MATH__;
240 double	exp2(double) __NDK_FPABI_MATH__;
241 double	expm1(double) __NDK_FPABI_MATH__;
242 double	fma(double, double, double) __NDK_FPABI_MATH__;
243 double	hypot(double, double) __NDK_FPABI_MATH__;
244 int	ilogb(double) __NDK_FPABI_MATH__ __pure2;
245 /* int	(isinf)(double) __NDK_FPABI_MATH__ __pure2; */
246 int	(isnan)(double) __NDK_FPABI_MATH__ __pure2;
247 double	lgamma(double) __NDK_FPABI_MATH__;
248 long long llrint(double) __NDK_FPABI_MATH__;
249 long long llround(double) __NDK_FPABI_MATH__;
250 double	log1p(double) __NDK_FPABI_MATH__;
251 double	logb(double) __NDK_FPABI_MATH__;
252 long	lrint(double) __NDK_FPABI_MATH__;
253 long	lround(double) __NDK_FPABI_MATH__;
254 double	nan(const char *) __NDK_FPABI_MATH__ __pure2;
255 double	nextafter(double, double) __NDK_FPABI_MATH__;
256 double	remainder(double, double) __NDK_FPABI_MATH__;
257 double	remquo(double, double, int *) __NDK_FPABI_MATH__;
258 double	rint(double) __NDK_FPABI_MATH__;
259 /* #endif */ /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
260 
261 /* #if __BSD_VISIBLE || __XSI_VISIBLE */
262 double	j0(double) __NDK_FPABI_MATH__;
263 double	j1(double) __NDK_FPABI_MATH__;
264 double	jn(int, double) __NDK_FPABI_MATH__;
265 double	scalb(double, double) __NDK_FPABI_MATH__;
266 double	y0(double) __NDK_FPABI_MATH__;
267 double	y1(double) __NDK_FPABI_MATH__;
268 double	yn(int, double) __NDK_FPABI_MATH__;
269 
270 /* #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE */
271 double	gamma(double) __NDK_FPABI_MATH__;
272 /* #endif */
273 /* #endif */ /* __BSD_VISIBLE || __XSI_VISIBLE */
274 
275 /* #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 */
276 double	copysign(double, double) __NDK_FPABI_MATH__ __pure2;
277 double	fdim(double, double) __NDK_FPABI_MATH__;
278 double	fmax(double, double) __NDK_FPABI_MATH__ __pure2;
279 double	fmin(double, double) __NDK_FPABI_MATH__ __pure2;
280 double	nearbyint(double) __NDK_FPABI_MATH__;
281 double	round(double) __NDK_FPABI_MATH__;
282 double	scalbln(double, long) __NDK_FPABI_MATH__;
283 double	scalbn(double, int) __NDK_FPABI_MATH__;
284 double	tgamma(double) __NDK_FPABI_MATH__;
285 double	trunc(double) __NDK_FPABI_MATH__;
286 /* #endif */
287 
288 /*
289  * BSD math library entry points
290  */
291 /* #if __BSD_VISIBLE */
292 double	drem(double, double) __NDK_FPABI_MATH__;
293 int	finite(double) __NDK_FPABI_MATH__ __pure2;
294 int	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  */
300 double	gamma_r(double, int *) __NDK_FPABI_MATH__;
301 double	lgamma_r(double, int *) __NDK_FPABI_MATH__;
302 
303 /*
304  * IEEE Test Vector
305  */
306 double	significand(double) __NDK_FPABI_MATH__;
307 /* #endif */ /* __BSD_VISIBLE */
308 
309 /* float versions of ANSI/POSIX functions */
310 /*#if __ISO_C_VISIBLE >= 1999 */
311 float	acosf(float) __NDK_FPABI_MATH__;
312 float	asinf(float) __NDK_FPABI_MATH__;
313 float	atanf(float) __NDK_FPABI_MATH__;
314 float	atan2f(float, float) __NDK_FPABI_MATH__;
315 float	cosf(float) __NDK_FPABI_MATH__;
316 float	sinf(float) __NDK_FPABI_MATH__;
317 float	tanf(float) __NDK_FPABI_MATH__;
318 
319 float	coshf(float) __NDK_FPABI_MATH__;
320 float	sinhf(float) __NDK_FPABI_MATH__;
321 float	tanhf(float) __NDK_FPABI_MATH__;
322 
323 float	exp2f(float) __NDK_FPABI_MATH__;
324 float	expf(float) __NDK_FPABI_MATH__;
325 float	expm1f(float) __NDK_FPABI_MATH__;
326 float	frexpf(float, int *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
327 int	ilogbf(float) __NDK_FPABI_MATH__ __pure2;
328 float	ldexpf(float, int) __NDK_FPABI_MATH__;
329 float	log10f(float) __NDK_FPABI_MATH__;
330 float	log1pf(float) __NDK_FPABI_MATH__;
331 float	logf(float) __NDK_FPABI_MATH__;
332 float	modff(float, float *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
333 
334 float	powf(float, float) __NDK_FPABI_MATH__;
335 float	sqrtf(float) __NDK_FPABI_MATH__;
336 
337 float	ceilf(float) __NDK_FPABI_MATH__;
338 float	fabsf(float) __NDK_FPABI_MATH__ __pure2;
339 float	floorf(float) __NDK_FPABI_MATH__;
340 float	fmodf(float, float) __NDK_FPABI_MATH__;
341 float	roundf(float) __NDK_FPABI_MATH__;
342 
343 float	erff(float) __NDK_FPABI_MATH__;
344 float	erfcf(float) __NDK_FPABI_MATH__;
345 float	hypotf(float, float) __NDK_FPABI_MATH__;
346 float	lgammaf(float) __NDK_FPABI_MATH__;
347 float	tgammaf(float) __NDK_FPABI_MATH__;
348 
349 float	acoshf(float) __NDK_FPABI_MATH__;
350 float	asinhf(float) __NDK_FPABI_MATH__;
351 float	atanhf(float) __NDK_FPABI_MATH__;
352 float	cbrtf(float) __NDK_FPABI_MATH__;
353 float	logbf(float) __NDK_FPABI_MATH__;
354 float	copysignf(float, float) __NDK_FPABI_MATH__ __pure2;
355 long long llrintf(float) __NDK_FPABI_MATH__;
356 long long llroundf(float) __NDK_FPABI_MATH__;
357 long	lrintf(float) __NDK_FPABI_MATH__;
358 long	lroundf(float) __NDK_FPABI_MATH__;
359 float	nanf(const char *) __NDK_FPABI_MATH__ __pure2;
360 float	nearbyintf(float) __NDK_FPABI_MATH__;
361 float	nextafterf(float, float) __NDK_FPABI_MATH__;
362 float	remainderf(float, float) __NDK_FPABI_MATH__;
363 float	remquof(float, float, int *) __NDK_FPABI_MATH__;
364 float	rintf(float) __NDK_FPABI_MATH__;
365 float	scalblnf(float, long) __NDK_FPABI_MATH__;
366 float	scalbnf(float, int) __NDK_FPABI_MATH__;
367 float	truncf(float) __NDK_FPABI_MATH__;
368 
369 float	fdimf(float, float) __NDK_FPABI_MATH__;
370 float	fmaf(float, float, float) __NDK_FPABI_MATH__;
371 float	fmaxf(float, float) __NDK_FPABI_MATH__ __pure2;
372 float	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 */
379 float	dremf(float, float) __NDK_FPABI_MATH__;
380 int	finitef(float) __NDK_FPABI_MATH__ __pure2;
381 float	gammaf(float) __NDK_FPABI_MATH__;
382 float	j0f(float) __NDK_FPABI_MATH__;
383 float	j1f(float) __NDK_FPABI_MATH__;
384 float	jnf(int, float) __NDK_FPABI_MATH__;
385 float	scalbf(float, float) __NDK_FPABI_MATH__;
386 float	y0f(float) __NDK_FPABI_MATH__;
387 float	y1f(float) __NDK_FPABI_MATH__;
388 float	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  */
395 float	gammaf_r(float, int *) __NDK_FPABI_MATH__;
396 float	lgammaf_r(float, int *) __NDK_FPABI_MATH__;
397 
398 /*
399  * float version of IEEE Test Vector
400  */
401 float	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
409 long double	acoshl(long double) __NDK_FPABI_MATH__;
410 long double	acosl(long double) __NDK_FPABI_MATH__;
411 long double	asinhl(long double) __NDK_FPABI_MATH__;
412 long double	asinl(long double) __NDK_FPABI_MATH__;
413 long double	atan2l(long double, long double) __NDK_FPABI_MATH__;
414 long double	atanhl(long double) __NDK_FPABI_MATH__;
415 long double	atanl(long double) __NDK_FPABI_MATH__;
416 long double	cbrtl(long double) __NDK_FPABI_MATH__;
417 #endif
418 long double	ceill(long double) __NDK_FPABI_MATH__;
419 long double	copysignl(long double, long double) __NDK_FPABI_MATH__ __pure2;
420 #if 0
421 long double	coshl(long double) __NDK_FPABI_MATH__;
422 long double	cosl(long double) __NDK_FPABI_MATH__;
423 long double	erfcl(long double) __NDK_FPABI_MATH__;
424 long double	erfl(long double) __NDK_FPABI_MATH__;
425 long double	exp2l(long double) __NDK_FPABI_MATH__;
426 long double	expl(long double) __NDK_FPABI_MATH__;
427 long double	expm1l(long double) __NDK_FPABI_MATH__;
428 #endif
429 long double	fabsl(long double) __NDK_FPABI_MATH__ __pure2;
430 long double	fdiml(long double, long double) __NDK_FPABI_MATH__;
431 long double	floorl(long double) __NDK_FPABI_MATH__;
432 long double	fmal(long double, long double, long double) __NDK_FPABI_MATH__;
433 long double	fmaxl(long double, long double) __NDK_FPABI_MATH__ __pure2;
434 long double	fminl(long double, long double) __NDK_FPABI_MATH__ __pure2;
435 #if 0
436 long double	fmodl(long double, long double) __NDK_FPABI_MATH__;
437 #endif
438 long double	frexpl(long double value, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
439 #if 0
440 long double	hypotl(long double, long double) __NDK_FPABI_MATH__;
441 #endif
442 int		ilogbl(long double) __NDK_FPABI_MATH__ __pure2;
443 long double	ldexpl(long double, int) __NDK_FPABI_MATH__;
444 #if 0
445 long double	lgammal(long double) __NDK_FPABI_MATH__;
446 long long	llrintl(long double) __NDK_FPABI_MATH__;
447 #endif
448 long long	llroundl(long double) __NDK_FPABI_MATH__;
449 #if 0
450 long double	log10l(long double) __NDK_FPABI_MATH__;
451 long double	log1pl(long double) __NDK_FPABI_MATH__;
452 long double	log2l(long double) __NDK_FPABI_MATH__;
453 long double	logbl(long double) __NDK_FPABI_MATH__;
454 long double	logl(long double) __NDK_FPABI_MATH__;
455 long		lrintl(long double) __NDK_FPABI_MATH__;
456 #endif
457 long		lroundl(long double) __NDK_FPABI_MATH__;
458 #if 0
459 long double	modfl(long double, long double *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
460 #endif
461 long double	nanl(const char *) __NDK_FPABI_MATH__ __pure2;
462 #if 0
463 long double	nearbyintl(long double) __NDK_FPABI_MATH__;
464 #endif
465 long double	nextafterl(long double, long double) __NDK_FPABI_MATH__;
466 double		nexttoward(double, long double) __NDK_FPABI_MATH__;
467 float		nexttowardf(float, long double) __NDK_FPABI_MATH__;
468 long double	nexttowardl(long double, long double) __NDK_FPABI_MATH__;
469 #if 0
470 long double	powl(long double, long double) __NDK_FPABI_MATH__;
471 long double	remainderl(long double, long double) __NDK_FPABI_MATH__;
472 long double	remquol(long double, long double, int *) __NDK_FPABI_MATH__;
473 long double	rintl(long double) __NDK_FPABI_MATH__;
474 #endif
475 long double	roundl(long double) __NDK_FPABI_MATH__;
476 long double	scalblnl(long double, long) __NDK_FPABI_MATH__;
477 long double	scalbnl(long double, int) __NDK_FPABI_MATH__;
478 #if 0
479 long double	sinhl(long double) __NDK_FPABI_MATH__;
480 long double	sinl(long double) __NDK_FPABI_MATH__;
481 long double	sqrtl(long double) __NDK_FPABI_MATH__;
482 long double	tanhl(long double) __NDK_FPABI_MATH__;
483 long double	tanl(long double) __NDK_FPABI_MATH__;
484 long double	tgammal(long double) __NDK_FPABI_MATH__;
485 #endif
486 long double	truncl(long double) __NDK_FPABI_MATH__;
487 
488 /* BIONIC: GLibc compatibility - required by the ARM toolchain */
489 #ifdef _GNU_SOURCE
490 void  sincos(double x, double *sin, double *cos) __NDK_FPABI_MATH__;
491 void  sincosf(float x, float *sin, float *cos) __NDK_FPABI_MATH__;
492 void  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 
497 double	__builtin_acos(double) __NDK_FPABI_MATH__;
498 double	__builtin_asin(double) __NDK_FPABI_MATH__;
499 double	__builtin_atan(double) __NDK_FPABI_MATH__;
500 double	__builtin_atan2(double, double) __NDK_FPABI_MATH__;
501 double	__builtin_cos(double) __NDK_FPABI_MATH__;
502 double	__builtin_sin(double) __NDK_FPABI_MATH__;
503 double	__builtin_tan(double) __NDK_FPABI_MATH__;
504 double	__builtin_cosh(double) __NDK_FPABI_MATH__;
505 double	__builtin_sinh(double) __NDK_FPABI_MATH__;
506 double	__builtin_tanh(double) __NDK_FPABI_MATH__;
507 double	__builtin_exp(double) __NDK_FPABI_MATH__;
508 double	__builtin_frexp(double, int *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
509 double	__builtin_ldexp(double, int) __NDK_FPABI_MATH__;
510 double	__builtin_log(double) __NDK_FPABI_MATH__;
511 double	__builtin_log10(double) __NDK_FPABI_MATH__;
512 double	__builtin_modf(double, double *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
513 double	__builtin_pow(double, double) __NDK_FPABI_MATH__;
514 double	__builtin_sqrt(double) __NDK_FPABI_MATH__;
515 double	__builtin_ceil(double) __NDK_FPABI_MATH__;
516 double	__builtin_fabs(double) __NDK_FPABI_MATH__ __pure2;
517 double	__builtin_floor(double) __NDK_FPABI_MATH__;
518 double	__builtin_fmod(double, double) __NDK_FPABI_MATH__;
519 double	__builtin_acosh(double) __NDK_FPABI_MATH__;
520 double	__builtin_asinh(double) __NDK_FPABI_MATH__;
521 double	__builtin_atanh(double) __NDK_FPABI_MATH__;
522 double	__builtin_cbrt(double) __NDK_FPABI_MATH__;
523 double	__builtin_erf(double) __NDK_FPABI_MATH__;
524 double	__builtin_erfc(double) __NDK_FPABI_MATH__;
525 double	__builtin_exp2(double) __NDK_FPABI_MATH__;
526 double	__builtin_expm1(double) __NDK_FPABI_MATH__;
527 double	__builtin_fma(double, double, double) __NDK_FPABI_MATH__;
528 double	__builtin_hypot(double, double) __NDK_FPABI_MATH__;
529 int	__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 */
533 int	__builtin_isnan(double) __NDK_FPABI_MATH__ __pure2;
534 #endif
535 double	__builtin_lgamma(double) __NDK_FPABI_MATH__;
536 long long __builtin_llrint(double) __NDK_FPABI_MATH__;
537 long long __builtin_llround(double) __NDK_FPABI_MATH__;
538 double	__builtin_log1p(double) __NDK_FPABI_MATH__;
539 double	__builtin_logb(double) __NDK_FPABI_MATH__;
540 long	__builtin_lrint(double) __NDK_FPABI_MATH__;
541 long	__builtin_lround(double) __NDK_FPABI_MATH__;
542 double	__builtin_nan(const char *) __NDK_FPABI_MATH__ __pure2;
543 double	__builtin_nextafter(double, double) __NDK_FPABI_MATH__;
544 double	__builtin_remainder(double, double) __NDK_FPABI_MATH__;
545 double	__builtin_remquo(double, double, int *) __NDK_FPABI_MATH__;
546 double	__builtin_rint(double) __NDK_FPABI_MATH__;
547 double	__builtin_j0(double) __NDK_FPABI_MATH__;
548 double	__builtin_j1(double) __NDK_FPABI_MATH__;
549 double	__builtin_jn(int, double) __NDK_FPABI_MATH__;
550 double	__builtin_scalb(double, double) __NDK_FPABI_MATH__;
551 double	__builtin_y0(double) __NDK_FPABI_MATH__;
552 double	__builtin_y1(double) __NDK_FPABI_MATH__;
553 double	__builtin_yn(int, double) __NDK_FPABI_MATH__;
554 double	__builtin_gamma(double) __NDK_FPABI_MATH__;
555 double	__builtin_copysign(double, double) __NDK_FPABI_MATH__ __pure2;
556 double	__builtin_fdim(double, double) __NDK_FPABI_MATH__;
557 double	__builtin_fmax(double, double) __NDK_FPABI_MATH__ __pure2;
558 double	__builtin_fmin(double, double) __NDK_FPABI_MATH__ __pure2;
559 double	__builtin_nearbyint(double) __NDK_FPABI_MATH__;
560 double	__builtin_round(double) __NDK_FPABI_MATH__;
561 double	__builtin_scalbln(double, long) __NDK_FPABI_MATH__;
562 double	__builtin_scalbn(double, int) __NDK_FPABI_MATH__;
563 double	__builtin_tgamma(double) __NDK_FPABI_MATH__;
564 double	__builtin_trunc(double) __NDK_FPABI_MATH__;
565 double	__builtin_drem(double, double) __NDK_FPABI_MATH__;
566 int	__builtin_finite(double) __NDK_FPABI_MATH__ __pure2;
567 int	__builtin_isnanf(float) __NDK_FPABI_MATH__ __pure2;
568 double	__builtin_gamma_r(double, int *) __NDK_FPABI_MATH__;
569 double	__builtin_lgamma_r(double, int *) __NDK_FPABI_MATH__;
570 double	__builtin_significand(double) __NDK_FPABI_MATH__;
571 float	__builtin_acosf(float) __NDK_FPABI_MATH__;
572 float	__builtin_asinf(float) __NDK_FPABI_MATH__;
573 float	__builtin_atanf(float) __NDK_FPABI_MATH__;
574 float	__builtin_atan2f(float, float) __NDK_FPABI_MATH__;
575 float	__builtin_cosf(float) __NDK_FPABI_MATH__;
576 float	__builtin_sinf(float) __NDK_FPABI_MATH__;
577 float	__builtin_tanf(float) __NDK_FPABI_MATH__;
578 float	__builtin_coshf(float) __NDK_FPABI_MATH__;
579 float	__builtin_sinhf(float) __NDK_FPABI_MATH__;
580 float	__builtin_tanhf(float) __NDK_FPABI_MATH__;
581 float	__builtin_exp2f(float) __NDK_FPABI_MATH__;
582 float	__builtin_expf(float) __NDK_FPABI_MATH__;
583 float	__builtin_expm1f(float) __NDK_FPABI_MATH__;
584 float	__builtin_frexpf(float, int *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
585 int	__builtin_ilogbf(float) __NDK_FPABI_MATH__ __pure2;
586 float	__builtin_ldexpf(float, int) __NDK_FPABI_MATH__;
587 float	__builtin_log10f(float) __NDK_FPABI_MATH__;
588 float	__builtin_log1pf(float) __NDK_FPABI_MATH__;
589 float	__builtin_logf(float) __NDK_FPABI_MATH__;
590 float	__builtin_modff(float, float *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
591 float	__builtin_powf(float, float) __NDK_FPABI_MATH__;
592 float	__builtin_sqrtf(float) __NDK_FPABI_MATH__;
593 float	__builtin_ceilf(float) __NDK_FPABI_MATH__;
594 float	__builtin_fabsf(float) __NDK_FPABI_MATH__ __pure2;
595 float	__builtin_floorf(float) __NDK_FPABI_MATH__;
596 float	__builtin_fmodf(float, float) __NDK_FPABI_MATH__;
597 float	__builtin_roundf(float) __NDK_FPABI_MATH__;
598 float	__builtin_erff(float) __NDK_FPABI_MATH__;
599 float	__builtin_erfcf(float) __NDK_FPABI_MATH__;
600 float	__builtin_hypotf(float, float) __NDK_FPABI_MATH__;
601 float	__builtin_lgammaf(float) __NDK_FPABI_MATH__;
602 float	__builtin_tgammaf(float) __NDK_FPABI_MATH__;
603 float	__builtin_acoshf(float) __NDK_FPABI_MATH__;
604 float	__builtin_asinhf(float) __NDK_FPABI_MATH__;
605 float	__builtin_atanhf(float) __NDK_FPABI_MATH__;
606 float	__builtin_cbrtf(float) __NDK_FPABI_MATH__;
607 float	__builtin_logbf(float) __NDK_FPABI_MATH__;
608 float	__builtin_copysignf(float, float) __NDK_FPABI_MATH__ __pure2;
609 long long __builtin_llrintf(float) __NDK_FPABI_MATH__;
610 long long __builtin_llroundf(float) __NDK_FPABI_MATH__;
611 long	__builtin_lrintf(float) __NDK_FPABI_MATH__;
612 long	__builtin_lroundf(float) __NDK_FPABI_MATH__;
613 float	__builtin_nanf(const char *) __NDK_FPABI_MATH__ __pure2;
614 float	__builtin_nearbyintf(float) __NDK_FPABI_MATH__;
615 float	__builtin_nextafterf(float, float) __NDK_FPABI_MATH__;
616 float	__builtin_remainderf(float, float) __NDK_FPABI_MATH__;
617 float	__builtin_remquof(float, float, int *) __NDK_FPABI_MATH__;
618 float	__builtin_rintf(float) __NDK_FPABI_MATH__;
619 float	__builtin_scalblnf(float, long) __NDK_FPABI_MATH__;
620 float	__builtin_scalbnf(float, int) __NDK_FPABI_MATH__;
621 float	__builtin_truncf(float) __NDK_FPABI_MATH__;
622 float	__builtin_fdimf(float, float) __NDK_FPABI_MATH__;
623 float	__builtin_fmaf(float, float, float) __NDK_FPABI_MATH__;
624 float	__builtin_fmaxf(float, float) __NDK_FPABI_MATH__ __pure2;
625 float	__builtin_fminf(float, float) __NDK_FPABI_MATH__ __pure2;
626 float	__builtin_dremf(float, float) __NDK_FPABI_MATH__;
627 int	__builtin_finitef(float) __NDK_FPABI_MATH__ __pure2;
628 float	__builtin_gammaf(float) __NDK_FPABI_MATH__;
629 float	__builtin_j0f(float) __NDK_FPABI_MATH__;
630 float	__builtin_j1f(float) __NDK_FPABI_MATH__;
631 float	__builtin_jnf(int, float) __NDK_FPABI_MATH__;
632 float	__builtin_scalbf(float, float) __NDK_FPABI_MATH__;
633 float	__builtin_y0f(float) __NDK_FPABI_MATH__;
634 float	__builtin_y1f(float) __NDK_FPABI_MATH__;
635 float	__builtin_ynf(int, float) __NDK_FPABI_MATH__;
636 float	__builtin_gammaf_r(float, int *) __NDK_FPABI_MATH__;
637 float	__builtin_lgammaf_r(float, int *) __NDK_FPABI_MATH__;
638 float	__builtin_significandf(float) __NDK_FPABI_MATH__;
639 long double	__builtin_acoshl(long double) __NDK_FPABI_MATH__;
640 long double	__builtin_acosl(long double) __NDK_FPABI_MATH__;
641 long double	__builtin_asinhl(long double) __NDK_FPABI_MATH__;
642 long double	__builtin_asinl(long double) __NDK_FPABI_MATH__;
643 long double	__builtin_atan2l(long double, long double) __NDK_FPABI_MATH__;
644 long double	__builtin_atanhl(long double) __NDK_FPABI_MATH__;
645 long double	__builtin_atanl(long double) __NDK_FPABI_MATH__;
646 long double	__builtin_cbrtl(long double) __NDK_FPABI_MATH__;
647 long double	__builtin_ceill(long double) __NDK_FPABI_MATH__;
648 long double	__builtin_copysignl(long double, long double) __NDK_FPABI_MATH__ __pure2;
649 long double	__builtin_coshl(long double) __NDK_FPABI_MATH__;
650 long double	__builtin_cosl(long double) __NDK_FPABI_MATH__;
651 long double	__builtin_erfcl(long double) __NDK_FPABI_MATH__;
652 long double	__builtin_erfl(long double) __NDK_FPABI_MATH__;
653 long double	__builtin_exp2l(long double) __NDK_FPABI_MATH__;
654 long double	__builtin_expl(long double) __NDK_FPABI_MATH__;
655 long double	__builtin_expm1l(long double) __NDK_FPABI_MATH__;
656 long double	__builtin_fabsl(long double) __NDK_FPABI_MATH__ __pure2;
657 long double	__builtin_fdiml(long double, long double) __NDK_FPABI_MATH__;
658 long double	__builtin_floorl(long double) __NDK_FPABI_MATH__;
659 long double	__builtin_fmal(long double, long double, long double) __NDK_FPABI_MATH__;
660 long double	__builtin_fmaxl(long double, long double) __NDK_FPABI_MATH__ __pure2;
661 long double	__builtin_fminl(long double, long double) __NDK_FPABI_MATH__ __pure2;
662 long double	__builtin_fmodl(long double, long double) __NDK_FPABI_MATH__;
663 long double	__builtin_frexpl(long double value, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
664 long double	__builtin_hypotl(long double, long double) __NDK_FPABI_MATH__;
665 int		__builtin_ilogbl(long double) __NDK_FPABI_MATH__ __pure2;
666 long double	__builtin_ldexpl(long double, int) __NDK_FPABI_MATH__;
667 long double	__builtin_lgammal(long double) __NDK_FPABI_MATH__;
668 long long	__builtin_llrintl(long double) __NDK_FPABI_MATH__;
669 long long	__builtin_llroundl(long double) __NDK_FPABI_MATH__;
670 long double	__builtin_log10l(long double) __NDK_FPABI_MATH__;
671 long double	__builtin_log1pl(long double) __NDK_FPABI_MATH__;
672 long double	__builtin_log2l(long double) __NDK_FPABI_MATH__;
673 long double	__builtin_logbl(long double) __NDK_FPABI_MATH__;
674 long double	__builtin_logl(long double) __NDK_FPABI_MATH__;
675 long		__builtin_lrintl(long double) __NDK_FPABI_MATH__;
676 long		__builtin_lroundl(long double) __NDK_FPABI_MATH__;
677 long double	__builtin_modfl(long double, long double *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
678 long double	__builtin_nanl(const char *) __NDK_FPABI_MATH__ __pure2;
679 long double	__builtin_nearbyintl(long double) __NDK_FPABI_MATH__;
680 long double	__builtin_nextafterl(long double, long double) __NDK_FPABI_MATH__;
681 #if !defined(__clang__) || __clang_major__ > 3 || (__clang_major__ == 3 && __clang_minor__ >= 4)
682 double		__builtin_nexttoward(double, long double) __NDK_FPABI_MATH__;
683 float		__builtin_nexttowardf(float, long double) __NDK_FPABI_MATH__;
684 #else
685 /* clang < 3.4 */
686 double		__builtin_nexttoward(double, double) __NDK_FPABI_MATH__;
687 float		__builtin_nexttowardf(float, float) __NDK_FPABI_MATH__;
688 #endif
689 long double	__builtin_nexttowardl(long double, long double) __NDK_FPABI_MATH__;
690 long double	__builtin_powl(long double, long double) __NDK_FPABI_MATH__;
691 long double	__builtin_remainderl(long double, long double) __NDK_FPABI_MATH__;
692 long double	__builtin_remquol(long double, long double, int *) __NDK_FPABI_MATH__;
693 long double	__builtin_rintl(long double) __NDK_FPABI_MATH__;
694 long double	__builtin_roundl(long double) __NDK_FPABI_MATH__;
695 long double	__builtin_scalblnl(long double, long) __NDK_FPABI_MATH__;
696 long double	__builtin_scalbnl(long double, int) __NDK_FPABI_MATH__;
697 long double	__builtin_sinhl(long double) __NDK_FPABI_MATH__;
698 long double	__builtin_sinl(long double) __NDK_FPABI_MATH__;
699 long double	__builtin_sqrtl(long double) __NDK_FPABI_MATH__;
700 long double	__builtin_tanhl(long double) __NDK_FPABI_MATH__;
701 long double	__builtin_tanl(long double) __NDK_FPABI_MATH__;
702 long double	__builtin_tgammal(long double) __NDK_FPABI_MATH__;
703 long double	__builtin_truncl(long double) __NDK_FPABI_MATH__;
704 void  __builtin_sincos(double x, double *sin, double *cos) __NDK_FPABI_MATH__;
705 void  __builtin_sincosf(float x, float *sin, float *cos) __NDK_FPABI_MATH__;
706 void  __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