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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 /*
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 #define	__MATH_BUILTIN_CONSTANTS
41 #endif
42 
43 #if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER)
44 #define	__MATH_BUILTIN_RELOPS
45 #endif
46 
47 #ifdef __MATH_BUILTIN_CONSTANTS
48 #define	HUGE_VAL	__builtin_huge_val()
49 #else
50 #define	HUGE_VAL	(__infinity.__ud)
51 #endif
52 
53 #if __ISO_C_VISIBLE >= 1999
54 #define	FP_ILOGB0	(-INT_MAX) /* Android-changed */
55 #define	FP_ILOGBNAN	INT_MAX /* Android-changed */
56 
57 #ifdef __MATH_BUILTIN_CONSTANTS
58 #define	HUGE_VALF	__builtin_huge_valf()
59 #define	HUGE_VALL	__builtin_huge_vall()
60 #define	INFINITY	__builtin_inff()
61 #define	NAN		__builtin_nanf("")
62 #else
63 #define	HUGE_VALF	(float)HUGE_VAL
64 #define	HUGE_VALL	(long double)HUGE_VAL
65 #define	INFINITY	HUGE_VALF
66 #define	NAN		(__nan.__uf)
67 #endif /* __MATH_BUILTIN_CONSTANTS */
68 
69 #define	MATH_ERRNO	1
70 #define	MATH_ERREXCEPT	2
71 #define	math_errhandling	MATH_ERREXCEPT
72 
73 #define	FP_FAST_FMAF	1
74 #ifdef __ia64__
75 #define	FP_FAST_FMA	1
76 #define	FP_FAST_FMAL	1
77 #endif
78 
79 /* Symbolic constants to classify floating point numbers. */
80 #define	FP_INFINITE	0x01
81 #define	FP_NAN		0x02
82 #define	FP_NORMAL	0x04
83 #define	FP_SUBNORMAL	0x08
84 #define	FP_ZERO		0x10
85 #define	fpclassify(x) \
86     ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \
87     : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \
88     : __fpclassifyl(x))
89 
90 #define	isfinite(x)					\
91     ((sizeof (x) == sizeof (float)) ? __isfinitef(x)	\
92     : (sizeof (x) == sizeof (double)) ? __isfinite(x)	\
93     : __isfinitel(x))
94 #define	isinf(x)					\
95     ((sizeof (x) == sizeof (float)) ? __isinff(x)	\
96     : (sizeof (x) == sizeof (double)) ? isinf(x)	\
97     : __isinfl(x))
98 #define	isnan(x)					\
99     ((sizeof (x) == sizeof (float)) ? __isnanf(x)	\
100     : (sizeof (x) == sizeof (double)) ? isnan(x)	\
101     : __isnanl(x))
102 #define	isnormal(x)					\
103     ((sizeof (x) == sizeof (float)) ? __isnormalf(x)	\
104     : (sizeof (x) == sizeof (double)) ? __isnormal(x)	\
105     : __isnormall(x))
106 
107 #ifdef __MATH_BUILTIN_RELOPS
108 #define	isgreater(x, y)		__builtin_isgreater((x), (y))
109 #define	isgreaterequal(x, y)	__builtin_isgreaterequal((x), (y))
110 #define	isless(x, y)		__builtin_isless((x), (y))
111 #define	islessequal(x, y)	__builtin_islessequal((x), (y))
112 #define	islessgreater(x, y)	__builtin_islessgreater((x), (y))
113 #define	isunordered(x, y)	__builtin_isunordered((x), (y))
114 #else
115 #define	isgreater(x, y)		(!isunordered((x), (y)) && (x) > (y))
116 #define	isgreaterequal(x, y)	(!isunordered((x), (y)) && (x) >= (y))
117 #define	isless(x, y)		(!isunordered((x), (y)) && (x) < (y))
118 #define	islessequal(x, y)	(!isunordered((x), (y)) && (x) <= (y))
119 #define	islessgreater(x, y)	(!isunordered((x), (y)) && \
120 					((x) > (y) || (y) > (x)))
121 #define	isunordered(x, y)	(isnan(x) || isnan(y))
122 #endif /* __MATH_BUILTIN_RELOPS */
123 
124 #define	signbit(x)					\
125     ((sizeof (x) == sizeof (float)) ? __signbitf(x)	\
126     : (sizeof (x) == sizeof (double)) ? __signbit(x)	\
127     : __signbitl(x))
128 
129 typedef double __double_t;
130 typedef __double_t double_t;
131 typedef float __float_t;
132 typedef __float_t float_t;
133 #endif /* __ISO_C_VISIBLE >= 1999 */
134 
135 /*
136  * XOPEN/SVID
137  */
138 #if __BSD_VISIBLE || __XSI_VISIBLE
139 #define	M_E		2.7182818284590452354	/* e */
140 #define	M_LOG2E		1.4426950408889634074	/* log 2e */
141 #define	M_LOG10E	0.43429448190325182765	/* log 10e */
142 #define	M_LN2		0.69314718055994530942	/* log e2 */
143 #define	M_LN10		2.30258509299404568402	/* log e10 */
144 #define	M_PI		3.14159265358979323846	/* pi */
145 #define	M_PI_2		1.57079632679489661923	/* pi/2 */
146 #define	M_PI_4		0.78539816339744830962	/* pi/4 */
147 #define	M_1_PI		0.31830988618379067154	/* 1/pi */
148 #define	M_2_PI		0.63661977236758134308	/* 2/pi */
149 #define	M_2_SQRTPI	1.12837916709551257390	/* 2/sqrt(pi) */
150 #define	M_SQRT2		1.41421356237309504880	/* sqrt(2) */
151 #define	M_SQRT1_2	0.70710678118654752440	/* 1/sqrt(2) */
152 
153 #define	MAXFLOAT	((float)3.40282346638528860e+38)
154 extern int signgam;
155 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */
156 
157 #if __BSD_VISIBLE
158 #if 0
159 /* Old value from 4.4BSD-Lite math.h; this is probably better. */
160 #define	HUGE		HUGE_VAL
161 #else
162 #define	HUGE		MAXFLOAT
163 #endif
164 #endif /* __BSD_VISIBLE */
165 
166 /*
167  * Most of these functions depend on the rounding mode and have the side
168  * effect of raising floating-point exceptions, so they are not declared
169  * as __pure2.  In C99, FENV_ACCESS affects the purity of these functions.
170  */
171 
172 /*
173  * ANSI/POSIX
174  */
175 int	__fpclassifyd(double) __NDK_FPABI_MATH__  __pure2;
176 int	__fpclassifyf(float) __NDK_FPABI_MATH__  __pure2;
177 int	__fpclassifyl(long double) __NDK_FPABI_MATH__  __pure2;
178 int	__isfinitef(float) __NDK_FPABI_MATH__  __pure2;
179 int	__isfinite(double) __NDK_FPABI_MATH__  __pure2;
180 int	__isfinitel(long double) __NDK_FPABI_MATH__  __pure2;
181 int	__isinff(float) __NDK_FPABI_MATH__  __pure2;
182 int	__isinfl(long double) __NDK_FPABI_MATH__  __pure2;
183 int	__isnanf(float) __NDK_FPABI_MATH__  __pure2;
184 int	__isnanl(long double) __NDK_FPABI_MATH__  __pure2;
185 int	__isnormalf(float) __NDK_FPABI_MATH__  __pure2;
186 int	__isnormal(double) __NDK_FPABI_MATH__  __pure2;
187 int	__isnormall(long double) __NDK_FPABI_MATH__  __pure2;
188 int	__signbit(double) __NDK_FPABI_MATH__  __pure2;
189 int	__signbitf(float) __NDK_FPABI_MATH__  __pure2;
190 int	__signbitl(long double) __NDK_FPABI_MATH__  __pure2;
191 
192 double	acos(double) __NDK_FPABI_MATH__;
193 double	asin(double) __NDK_FPABI_MATH__;
194 double	atan(double) __NDK_FPABI_MATH__;
195 double	atan2(double, double) __NDK_FPABI_MATH__;
196 double	cos(double) __NDK_FPABI_MATH__;
197 double	sin(double) __NDK_FPABI_MATH__;
198 double	tan(double) __NDK_FPABI_MATH__;
199 
200 double	cosh(double) __NDK_FPABI_MATH__;
201 double	sinh(double) __NDK_FPABI_MATH__;
202 double	tanh(double) __NDK_FPABI_MATH__;
203 
204 double	exp(double) __NDK_FPABI_MATH__;
205 double	frexp(double, int *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
206 double	ldexp(double, int) __NDK_FPABI_MATH__;
207 double	log(double) __NDK_FPABI_MATH__;
208 double	log10(double) __NDK_FPABI_MATH__;
209 double	modf(double, double *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
210 
211 double	pow(double, double) __NDK_FPABI_MATH__;
212 double	sqrt(double) __NDK_FPABI_MATH__;
213 
214 double	ceil(double) __NDK_FPABI_MATH__;
215 double	fabs(double) __NDK_FPABI_MATH__ __pure2;
216 double	floor(double) __NDK_FPABI_MATH__;
217 double	fmod(double, double) __NDK_FPABI_MATH__;
218 
219 /*
220  * These functions are not in C90.
221  */
222 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE
223 double	acosh(double) __NDK_FPABI_MATH__;
224 double	asinh(double) __NDK_FPABI_MATH__;
225 double	atanh(double) __NDK_FPABI_MATH__;
226 double	cbrt(double) __NDK_FPABI_MATH__;
227 double	erf(double) __NDK_FPABI_MATH__;
228 double	erfc(double) __NDK_FPABI_MATH__;
229 double	exp2(double) __NDK_FPABI_MATH__;
230 double	expm1(double) __NDK_FPABI_MATH__;
231 double	fma(double, double, double) __NDK_FPABI_MATH__;
232 double	hypot(double, double) __NDK_FPABI_MATH__;
233 int	ilogb(double) __NDK_FPABI_MATH__ __pure2;
234 int	(isinf)(double) __NDK_FPABI_MATH__ __pure2;
235 int	(isnan)(double) __NDK_FPABI_MATH__ __pure2;
236 double	lgamma(double) __NDK_FPABI_MATH__;
237 long long llrint(double) __NDK_FPABI_MATH__;
238 long long llround(double) __NDK_FPABI_MATH__;
239 double	log1p(double) __NDK_FPABI_MATH__;
240 double	log2(double) __NDK_FPABI_MATH__;
241 double	logb(double) __NDK_FPABI_MATH__;
242 long	lrint(double) __NDK_FPABI_MATH__;
243 long	lround(double) __NDK_FPABI_MATH__;
244 double	nan(const char *) __NDK_FPABI_MATH__ __pure2;
245 double	nextafter(double, double) __NDK_FPABI_MATH__;
246 double	remainder(double, double) __NDK_FPABI_MATH__;
247 double	remquo(double, double, int *) __NDK_FPABI_MATH__;
248 double	rint(double) __NDK_FPABI_MATH__;
249 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
250 
251 #if __BSD_VISIBLE || __XSI_VISIBLE
252 double	j0(double) __NDK_FPABI_MATH__;
253 double	j1(double) __NDK_FPABI_MATH__;
254 double	jn(int, double) __NDK_FPABI_MATH__;
255 double	y0(double) __NDK_FPABI_MATH__;
256 double	y1(double) __NDK_FPABI_MATH__;
257 double	yn(int, double) __NDK_FPABI_MATH__;
258 
259 #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
260 double	gamma(double) __NDK_FPABI_MATH__;
261 #endif
262 
263 #if __XSI_VISIBLE <= 600 || __BSD_VISIBLE
264 double	scalb(double, double) __NDK_FPABI_MATH__;
265 #endif
266 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */
267 
268 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
269 double	copysign(double, double) __NDK_FPABI_MATH__ __pure2;
270 double	fdim(double, double) __NDK_FPABI_MATH__;
271 double	fmax(double, double) __NDK_FPABI_MATH__ __pure2;
272 double	fmin(double, double) __NDK_FPABI_MATH__ __pure2;
273 double	nearbyint(double) __NDK_FPABI_MATH__;
274 double	round(double) __NDK_FPABI_MATH__;
275 double	scalbln(double, long) __NDK_FPABI_MATH__;
276 double	scalbn(double, int) __NDK_FPABI_MATH__;
277 double	tgamma(double) __NDK_FPABI_MATH__;
278 double	trunc(double) __NDK_FPABI_MATH__;
279 #endif
280 
281 /*
282  * BSD math library entry points
283  */
284 #if __BSD_VISIBLE
285 double	drem(double, double) __NDK_FPABI_MATH__;
286 int	finite(double) __NDK_FPABI_MATH__ __pure2;
287 int	isnanf(float) __NDK_FPABI_MATH__ __pure2;
288 long double significandl(long double) __NDK_FPABI_MATH__;
289 
290 /*
291  * Reentrant version of gamma & lgamma; passes signgam back by reference
292  * as the second argument; user must allocate space for signgam.
293  */
294 double	gamma_r(double, int *) __NDK_FPABI_MATH__;
295 double	lgamma_r(double, int *) __NDK_FPABI_MATH__;
296 
297 /*
298  * IEEE Test Vector
299  */
300 double	significand(double) __NDK_FPABI_MATH__;
301 #endif /* __BSD_VISIBLE */
302 
303 /* float versions of ANSI/POSIX functions */
304 #if __ISO_C_VISIBLE >= 1999
305 float	acosf(float) __NDK_FPABI_MATH__;
306 float	asinf(float) __NDK_FPABI_MATH__;
307 float	atanf(float) __NDK_FPABI_MATH__;
308 float	atan2f(float, float) __NDK_FPABI_MATH__;
309 float	cosf(float) __NDK_FPABI_MATH__;
310 float	sinf(float) __NDK_FPABI_MATH__;
311 float	tanf(float) __NDK_FPABI_MATH__;
312 
313 float	coshf(float) __NDK_FPABI_MATH__;
314 float	sinhf(float) __NDK_FPABI_MATH__;
315 float	tanhf(float) __NDK_FPABI_MATH__;
316 
317 float	exp2f(float) __NDK_FPABI_MATH__;
318 float	expf(float) __NDK_FPABI_MATH__;
319 float	expm1f(float) __NDK_FPABI_MATH__;
320 float	frexpf(float, int *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
321 int	ilogbf(float) __NDK_FPABI_MATH__ __pure2;
322 float	ldexpf(float, int) __NDK_FPABI_MATH__;
323 float	log10f(float) __NDK_FPABI_MATH__;
324 float	log1pf(float) __NDK_FPABI_MATH__;
325 float	log2f(float) __NDK_FPABI_MATH__;
326 float	logf(float) __NDK_FPABI_MATH__;
327 float	modff(float, float *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
328 
329 float	powf(float, float) __NDK_FPABI_MATH__;
330 float	sqrtf(float) __NDK_FPABI_MATH__;
331 
332 float	ceilf(float) __NDK_FPABI_MATH__;
333 float	fabsf(float) __NDK_FPABI_MATH__ __pure2;
334 float	floorf(float) __NDK_FPABI_MATH__;
335 float	fmodf(float, float) __NDK_FPABI_MATH__;
336 float	roundf(float) __NDK_FPABI_MATH__;
337 
338 float	erff(float) __NDK_FPABI_MATH__;
339 float	erfcf(float) __NDK_FPABI_MATH__;
340 float	hypotf(float, float) __NDK_FPABI_MATH__;
341 float	lgammaf(float) __NDK_FPABI_MATH__;
342 float	tgammaf(float) __NDK_FPABI_MATH__;
343 
344 float	acoshf(float) __NDK_FPABI_MATH__;
345 float	asinhf(float) __NDK_FPABI_MATH__;
346 float	atanhf(float) __NDK_FPABI_MATH__;
347 float	cbrtf(float) __NDK_FPABI_MATH__;
348 float	logbf(float) __NDK_FPABI_MATH__;
349 float	copysignf(float, float) __NDK_FPABI_MATH__ __pure2;
350 long long llrintf(float) __NDK_FPABI_MATH__;
351 long long llroundf(float) __NDK_FPABI_MATH__;
352 long	lrintf(float) __NDK_FPABI_MATH__;
353 long	lroundf(float) __NDK_FPABI_MATH__;
354 float	nanf(const char *) __NDK_FPABI_MATH__ __pure2;
355 float	nearbyintf(float) __NDK_FPABI_MATH__;
356 float	nextafterf(float, float) __NDK_FPABI_MATH__;
357 float	remainderf(float, float) __NDK_FPABI_MATH__;
358 float	remquof(float, float, int *) __NDK_FPABI_MATH__;
359 float	rintf(float) __NDK_FPABI_MATH__;
360 float	scalblnf(float, long) __NDK_FPABI_MATH__;
361 float	scalbnf(float, int) __NDK_FPABI_MATH__;
362 float	truncf(float) __NDK_FPABI_MATH__;
363 
364 float	fdimf(float, float) __NDK_FPABI_MATH__;
365 float	fmaf(float, float, float) __NDK_FPABI_MATH__;
366 float	fmaxf(float, float) __NDK_FPABI_MATH__ __pure2;
367 float	fminf(float, float) __NDK_FPABI_MATH__ __pure2;
368 #endif
369 
370 /*
371  * float versions of BSD math library entry points
372  */
373 #if __BSD_VISIBLE
374 float	dremf(float, float) __NDK_FPABI_MATH__;
375 int	finitef(float) __NDK_FPABI_MATH__ __pure2;
376 float	gammaf(float) __NDK_FPABI_MATH__;
377 float	j0f(float) __NDK_FPABI_MATH__;
378 float	j1f(float) __NDK_FPABI_MATH__;
379 float	jnf(int, float) __NDK_FPABI_MATH__;
380 float	scalbf(float, float) __NDK_FPABI_MATH__;
381 float	y0f(float) __NDK_FPABI_MATH__;
382 float	y1f(float) __NDK_FPABI_MATH__;
383 float	ynf(int, float) __NDK_FPABI_MATH__;
384 
385 /*
386  * Float versions of reentrant version of gamma & lgamma; passes
387  * signgam back by reference as the second argument; user must
388  * allocate space for signgam.
389  */
390 float	gammaf_r(float, int *) __NDK_FPABI_MATH__;
391 float	lgammaf_r(float, int *) __NDK_FPABI_MATH__;
392 
393 /*
394  * float version of IEEE Test Vector
395  */
396 float	significandf(float) __NDK_FPABI_MATH__;
397 #endif	/* __BSD_VISIBLE */
398 
399 /*
400  * long double versions of ISO/POSIX math functions
401  */
402 #if __ISO_C_VISIBLE >= 1999
403 long double	acoshl(long double) __NDK_FPABI_MATH__;
404 long double	acosl(long double) __NDK_FPABI_MATH__;
405 long double	asinhl(long double) __NDK_FPABI_MATH__;
406 long double	asinl(long double) __NDK_FPABI_MATH__;
407 long double	atan2l(long double, long double) __NDK_FPABI_MATH__;
408 long double	atanhl(long double) __NDK_FPABI_MATH__;
409 long double	atanl(long double) __NDK_FPABI_MATH__;
410 long double	cbrtl(long double) __NDK_FPABI_MATH__;
411 long double	ceill(long double) __NDK_FPABI_MATH__;
412 long double	copysignl(long double, long double) __NDK_FPABI_MATH__ __pure2;
413 long double	coshl(long double) __NDK_FPABI_MATH__;
414 long double	cosl(long double) __NDK_FPABI_MATH__;
415 long double	erfcl(long double) __NDK_FPABI_MATH__;
416 long double	erfl(long double) __NDK_FPABI_MATH__;
417 long double	exp2l(long double) __NDK_FPABI_MATH__;
418 long double	expl(long double) __NDK_FPABI_MATH__;
419 long double	expm1l(long double) __NDK_FPABI_MATH__;
420 long double	fabsl(long double) __NDK_FPABI_MATH__ __pure2;
421 long double	fdiml(long double, long double) __NDK_FPABI_MATH__;
422 long double	floorl(long double) __NDK_FPABI_MATH__;
423 long double	fmal(long double, long double, long double) __NDK_FPABI_MATH__;
424 long double	fmaxl(long double, long double) __NDK_FPABI_MATH__ __pure2;
425 long double	fminl(long double, long double) __NDK_FPABI_MATH__ __pure2;
426 long double	fmodl(long double, long double) __NDK_FPABI_MATH__;
427 long double	frexpl(long double value, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
428 long double	hypotl(long double, long double) __NDK_FPABI_MATH__;
429 int		ilogbl(long double) __NDK_FPABI_MATH__ __pure2;
430 long double	ldexpl(long double, int) __NDK_FPABI_MATH__;
431 long double	lgammal(long double) __NDK_FPABI_MATH__;
432 long long	llrintl(long double) __NDK_FPABI_MATH__;
433 long long	llroundl(long double) __NDK_FPABI_MATH__;
434 long double	log10l(long double) __NDK_FPABI_MATH__;
435 long double	log1pl(long double) __NDK_FPABI_MATH__;
436 long double	log2l(long double) __NDK_FPABI_MATH__;
437 long double	logbl(long double) __NDK_FPABI_MATH__;
438 long double	logl(long double) __NDK_FPABI_MATH__;
439 long		lrintl(long double) __NDK_FPABI_MATH__;
440 long		lroundl(long double) __NDK_FPABI_MATH__;
441 long double	modfl(long double, long double *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
442 long double	nanl(const char *) __NDK_FPABI_MATH__ __pure2;
443 long double	nearbyintl(long double) __NDK_FPABI_MATH__;
444 long double	nextafterl(long double, long double) __NDK_FPABI_MATH__;
445 double		nexttoward(double, long double) __NDK_FPABI_MATH__;
446 float		nexttowardf(float, long double) __NDK_FPABI_MATH__;
447 long double	nexttowardl(long double, long double) __NDK_FPABI_MATH__;
448 long double	powl(long double, long double) __NDK_FPABI_MATH__;
449 long double	remainderl(long double, long double) __NDK_FPABI_MATH__;
450 long double	remquol(long double, long double, int *) __NDK_FPABI_MATH__;
451 long double	rintl(long double) __NDK_FPABI_MATH__;
452 long double	roundl(long double) __NDK_FPABI_MATH__;
453 long double	scalblnl(long double, long) __NDK_FPABI_MATH__;
454 long double	scalbnl(long double, int) __NDK_FPABI_MATH__;
455 long double	sinhl(long double) __NDK_FPABI_MATH__;
456 long double	sinl(long double) __NDK_FPABI_MATH__;
457 long double	sqrtl(long double) __NDK_FPABI_MATH__;
458 long double	tanhl(long double) __NDK_FPABI_MATH__;
459 long double	tanl(long double) __NDK_FPABI_MATH__;
460 long double	tgammal(long double) __NDK_FPABI_MATH__;
461 long double	truncl(long double) __NDK_FPABI_MATH__;
462 
463 #endif /* __ISO_C_VISIBLE >= 1999 */
464 
465 #if defined(_GNU_SOURCE)
466 void sincos(double, double*, double*) __NDK_FPABI_MATH__;
467 void sincosf(float, float*, float*) __NDK_FPABI_MATH__;
468 void sincosl(long double, long double*, long double*) __NDK_FPABI_MATH__;
469 #endif /* _GNU_SOURCE */
470 
471 /* builtin version of all the above math functions are annotated too */
472 
473 double	__builtin_acos(double) __NDK_FPABI_MATH__;
474 double	__builtin_asin(double) __NDK_FPABI_MATH__;
475 double	__builtin_atan(double) __NDK_FPABI_MATH__;
476 double	__builtin_atan2(double, double) __NDK_FPABI_MATH__;
477 double	__builtin_cos(double) __NDK_FPABI_MATH__;
478 double	__builtin_sin(double) __NDK_FPABI_MATH__;
479 double	__builtin_tan(double) __NDK_FPABI_MATH__;
480 
481 double	__builtin_cosh(double) __NDK_FPABI_MATH__;
482 double	__builtin_sinh(double) __NDK_FPABI_MATH__;
483 double	__builtin_tanh(double) __NDK_FPABI_MATH__;
484 
485 double	__builtin_exp(double) __NDK_FPABI_MATH__;
486 double	__builtin_frexp(double, int *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
487 double	__builtin_ldexp(double, int) __NDK_FPABI_MATH__;
488 double	__builtin_log(double) __NDK_FPABI_MATH__;
489 double	__builtin_log10(double) __NDK_FPABI_MATH__;
490 double	__builtin_modf(double, double *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
491 
492 double	__builtin_pow(double, double) __NDK_FPABI_MATH__;
493 double	__builtin_sqrt(double) __NDK_FPABI_MATH__;
494 
495 double	__builtin_ceil(double) __NDK_FPABI_MATH__;
496 double	__builtin_fabs(double) __NDK_FPABI_MATH__ __pure2;
497 double	__builtin_floor(double) __NDK_FPABI_MATH__;
498 double	__builtin_fmod(double, double) __NDK_FPABI_MATH__;
499 
500 /*
501  * These functions are not in C90.
502  */
503 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE
504 double	__builtin_acosh(double) __NDK_FPABI_MATH__;
505 double	__builtin_asinh(double) __NDK_FPABI_MATH__;
506 double	__builtin_atanh(double) __NDK_FPABI_MATH__;
507 double	__builtin_cbrt(double) __NDK_FPABI_MATH__;
508 double	__builtin_erf(double) __NDK_FPABI_MATH__;
509 double	__builtin_erfc(double) __NDK_FPABI_MATH__;
510 double	__builtin_exp2(double) __NDK_FPABI_MATH__;
511 double	__builtin_expm1(double) __NDK_FPABI_MATH__;
512 double	__builtin_fma(double, double, double) __NDK_FPABI_MATH__;
513 double	__builtin_hypot(double, double) __NDK_FPABI_MATH__;
514 int	__builtin_ilogb(double) __NDK_FPABI_MATH__ __pure2;
515 #if !defined(__clang__) || __clang_major__ > 3 || (__clang_major__ == 3 && __clang_minor__ >= 6)
516 int	__builtin_isinf(double) __NDK_FPABI_MATH__ __pure2;
517 int	__builtin_isnan(double) __NDK_FPABI_MATH__ __pure2;
518 #else
519 /* clang < 3.5 has faulty prototype for __builtin_isnan */
520 #endif
521 double	__builtin_lgamma(double) __NDK_FPABI_MATH__;
522 long long __builtin_llrint(double) __NDK_FPABI_MATH__;
523 long long __builtin_llround(double) __NDK_FPABI_MATH__;
524 double	__builtin_log1p(double) __NDK_FPABI_MATH__;
525 double	__builtin_log2(double) __NDK_FPABI_MATH__;
526 double	__builtin_logb(double) __NDK_FPABI_MATH__;
527 long	__builtin_lrint(double) __NDK_FPABI_MATH__;
528 long	__builtin_lround(double) __NDK_FPABI_MATH__;
529 double	__builtin_nan(const char *) __NDK_FPABI_MATH__ __pure2;
530 double	__builtin_nextafter(double, double) __NDK_FPABI_MATH__;
531 double	__builtin_remainder(double, double) __NDK_FPABI_MATH__;
532 double	__builtin_remquo(double, double, int *) __NDK_FPABI_MATH__;
533 double	__builtin_rint(double) __NDK_FPABI_MATH__;
534 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
535 
536 #if __BSD_VISIBLE || __XSI_VISIBLE
537 double	__builtin_j0(double) __NDK_FPABI_MATH__;
538 double	__builtin_j1(double) __NDK_FPABI_MATH__;
539 double	__builtin_jn(int, double) __NDK_FPABI_MATH__;
540 double	__builtin_y0(double) __NDK_FPABI_MATH__;
541 double	__builtin_y1(double) __NDK_FPABI_MATH__;
542 double	__builtin_yn(int, double) __NDK_FPABI_MATH__;
543 
544 #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
545 double	__builtin_gamma(double) __NDK_FPABI_MATH__;
546 #endif
547 
548 #if __XSI_VISIBLE <= 600 || __BSD_VISIBLE
549 double	__builtin_scalb(double, double) __NDK_FPABI_MATH__;
550 #endif
551 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */
552 
553 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
554 double	__builtin_copysign(double, double) __NDK_FPABI_MATH__ __pure2;
555 double	__builtin_fdim(double, double) __NDK_FPABI_MATH__;
556 double	__builtin_fmax(double, double) __NDK_FPABI_MATH__ __pure2;
557 double	__builtin_fmin(double, double) __NDK_FPABI_MATH__ __pure2;
558 double	__builtin_nearbyint(double) __NDK_FPABI_MATH__;
559 double	__builtin_round(double) __NDK_FPABI_MATH__;
560 double	__builtin_scalbln(double, long) __NDK_FPABI_MATH__;
561 double	__builtin_scalbn(double, int) __NDK_FPABI_MATH__;
562 double	__builtin_tgamma(double) __NDK_FPABI_MATH__;
563 double	__builtin_trunc(double) __NDK_FPABI_MATH__;
564 #endif
565 
566 /*
567  * BSD math library entry points
568  */
569 #if __BSD_VISIBLE
570 double	__builtin_drem(double, double) __NDK_FPABI_MATH__;
571 int	__builtin_finite(double) __NDK_FPABI_MATH__ __pure2;
572 int	__builtin_isnanf(float) __NDK_FPABI_MATH__ __pure2;
573 long double significandl(long double) __NDK_FPABI_MATH__;
574 
575 /*
576  * Reentrant version of gamma & lgamma; passes signgam back by reference
577  * as the second argument; user must allocate space for signgam.
578  */
579 double	__builtin_gamma_r(double, int *) __NDK_FPABI_MATH__;
580 double	__builtin_lgamma_r(double, int *) __NDK_FPABI_MATH__;
581 
582 /*
583  * IEEE Test Vector
584  */
585 double	__builtin_significand(double) __NDK_FPABI_MATH__;
586 #endif /* __BSD_VISIBLE */
587 
588 /* float versions of ANSI/POSIX functions */
589 #if __ISO_C_VISIBLE >= 1999
590 float	__builtin_acosf(float) __NDK_FPABI_MATH__;
591 float	__builtin_asinf(float) __NDK_FPABI_MATH__;
592 float	__builtin_atanf(float) __NDK_FPABI_MATH__;
593 float	__builtin_atan2f(float, float) __NDK_FPABI_MATH__;
594 float	__builtin_cosf(float) __NDK_FPABI_MATH__;
595 float	__builtin_sinf(float) __NDK_FPABI_MATH__;
596 float	__builtin_tanf(float) __NDK_FPABI_MATH__;
597 
598 float	__builtin_coshf(float) __NDK_FPABI_MATH__;
599 float	__builtin_sinhf(float) __NDK_FPABI_MATH__;
600 float	__builtin_tanhf(float) __NDK_FPABI_MATH__;
601 
602 float	__builtin_exp2f(float) __NDK_FPABI_MATH__;
603 float	__builtin_expf(float) __NDK_FPABI_MATH__;
604 float	__builtin_expm1f(float) __NDK_FPABI_MATH__;
605 float	__builtin_frexpf(float, int *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
606 int	__builtin_ilogbf(float) __NDK_FPABI_MATH__ __pure2;
607 float	__builtin_ldexpf(float, int) __NDK_FPABI_MATH__;
608 float	__builtin_log10f(float) __NDK_FPABI_MATH__;
609 float	__builtin_log1pf(float) __NDK_FPABI_MATH__;
610 float	__builtin_log2f(float) __NDK_FPABI_MATH__;
611 float	__builtin_logf(float) __NDK_FPABI_MATH__;
612 float	__builtin_modff(float, float *) __NDK_FPABI_MATH__;	/* fundamentally !__pure2 */
613 
614 float	__builtin_powf(float, float) __NDK_FPABI_MATH__;
615 float	__builtin_sqrtf(float) __NDK_FPABI_MATH__;
616 
617 float	__builtin_ceilf(float) __NDK_FPABI_MATH__;
618 float	__builtin_fabsf(float) __NDK_FPABI_MATH__ __pure2;
619 float	__builtin_floorf(float) __NDK_FPABI_MATH__;
620 float	__builtin_fmodf(float, float) __NDK_FPABI_MATH__;
621 float	__builtin_roundf(float) __NDK_FPABI_MATH__;
622 
623 float	__builtin_erff(float) __NDK_FPABI_MATH__;
624 float	__builtin_erfcf(float) __NDK_FPABI_MATH__;
625 float	__builtin_hypotf(float, float) __NDK_FPABI_MATH__;
626 float	__builtin_lgammaf(float) __NDK_FPABI_MATH__;
627 float	__builtin_tgammaf(float) __NDK_FPABI_MATH__;
628 
629 float	__builtin_acoshf(float) __NDK_FPABI_MATH__;
630 float	__builtin_asinhf(float) __NDK_FPABI_MATH__;
631 float	__builtin_atanhf(float) __NDK_FPABI_MATH__;
632 float	__builtin_cbrtf(float) __NDK_FPABI_MATH__;
633 float	__builtin_logbf(float) __NDK_FPABI_MATH__;
634 float	__builtin_copysignf(float, float) __NDK_FPABI_MATH__ __pure2;
635 long long __builtin_llrintf(float) __NDK_FPABI_MATH__;
636 long long __builtin_llroundf(float) __NDK_FPABI_MATH__;
637 long	__builtin_lrintf(float) __NDK_FPABI_MATH__;
638 long	__builtin_lroundf(float) __NDK_FPABI_MATH__;
639 float	__builtin_nanf(const char *) __NDK_FPABI_MATH__ __pure2;
640 float	__builtin_nearbyintf(float) __NDK_FPABI_MATH__;
641 float	__builtin_nextafterf(float, float) __NDK_FPABI_MATH__;
642 float	__builtin_remainderf(float, float) __NDK_FPABI_MATH__;
643 float	__builtin_remquof(float, float, int *) __NDK_FPABI_MATH__;
644 float	__builtin_rintf(float) __NDK_FPABI_MATH__;
645 float	__builtin_scalblnf(float, long) __NDK_FPABI_MATH__;
646 float	__builtin_scalbnf(float, int) __NDK_FPABI_MATH__;
647 float	__builtin_truncf(float) __NDK_FPABI_MATH__;
648 
649 float	__builtin_fdimf(float, float) __NDK_FPABI_MATH__;
650 float	__builtin_fmaf(float, float, float) __NDK_FPABI_MATH__;
651 float	__builtin_fmaxf(float, float) __NDK_FPABI_MATH__ __pure2;
652 float	__builtin_fminf(float, float) __NDK_FPABI_MATH__ __pure2;
653 #endif
654 
655 /*
656  * float versions of BSD math library entry points
657  */
658 #if __BSD_VISIBLE
659 float	__builtin_dremf(float, float) __NDK_FPABI_MATH__;
660 int	__builtin_finitef(float) __NDK_FPABI_MATH__ __pure2;
661 float	__builtin_gammaf(float) __NDK_FPABI_MATH__;
662 float	__builtin_j0f(float) __NDK_FPABI_MATH__;
663 float	__builtin_j1f(float) __NDK_FPABI_MATH__;
664 float	__builtin_jnf(int, float) __NDK_FPABI_MATH__;
665 float	__builtin_scalbf(float, float) __NDK_FPABI_MATH__;
666 float	__builtin_y0f(float) __NDK_FPABI_MATH__;
667 float	__builtin_y1f(float) __NDK_FPABI_MATH__;
668 float	__builtin_ynf(int, float) __NDK_FPABI_MATH__;
669 
670 /*
671  * Float versions of reentrant version of gamma & lgamma; passes
672  * signgam back by reference as the second argument; user must
673  * allocate space for signgam.
674  */
675 float	__builtin_gammaf_r(float, int *) __NDK_FPABI_MATH__;
676 float	__builtin_lgammaf_r(float, int *) __NDK_FPABI_MATH__;
677 
678 /*
679  * float version of IEEE Test Vector
680  */
681 float	__builtin_significandf(float) __NDK_FPABI_MATH__;
682 #endif	/* __BSD_VISIBLE */
683 
684 /*
685  * long double versions of ISO/POSIX math functions
686  */
687 #if __ISO_C_VISIBLE >= 1999
688 long double	__builtin_acoshl(long double) __NDK_FPABI_MATH__;
689 long double	__builtin_acosl(long double) __NDK_FPABI_MATH__;
690 long double	__builtin_asinhl(long double) __NDK_FPABI_MATH__;
691 long double	__builtin_asinl(long double) __NDK_FPABI_MATH__;
692 long double	__builtin_atan2l(long double, long double) __NDK_FPABI_MATH__;
693 long double	__builtin_atanhl(long double) __NDK_FPABI_MATH__;
694 long double	__builtin_atanl(long double) __NDK_FPABI_MATH__;
695 long double	__builtin_cbrtl(long double) __NDK_FPABI_MATH__;
696 long double	__builtin_ceill(long double) __NDK_FPABI_MATH__;
697 long double	__builtin_copysignl(long double, long double) __NDK_FPABI_MATH__ __pure2;
698 long double	__builtin_coshl(long double) __NDK_FPABI_MATH__;
699 long double	__builtin_cosl(long double) __NDK_FPABI_MATH__;
700 long double	__builtin_erfcl(long double) __NDK_FPABI_MATH__;
701 long double	__builtin_erfl(long double) __NDK_FPABI_MATH__;
702 long double	__builtin_exp2l(long double) __NDK_FPABI_MATH__;
703 long double	__builtin_expl(long double) __NDK_FPABI_MATH__;
704 long double	__builtin_expm1l(long double) __NDK_FPABI_MATH__;
705 long double	__builtin_fabsl(long double) __NDK_FPABI_MATH__ __pure2;
706 long double	__builtin_fdiml(long double, long double) __NDK_FPABI_MATH__;
707 long double	__builtin_floorl(long double) __NDK_FPABI_MATH__;
708 long double	__builtin_fmal(long double, long double, long double) __NDK_FPABI_MATH__;
709 long double	__builtin_fmaxl(long double, long double) __NDK_FPABI_MATH__ __pure2;
710 long double	__builtin_fminl(long double, long double) __NDK_FPABI_MATH__ __pure2;
711 long double	__builtin_fmodl(long double, long double) __NDK_FPABI_MATH__;
712 long double	__builtin_frexpl(long double value, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
713 long double	__builtin_hypotl(long double, long double) __NDK_FPABI_MATH__;
714 int		__builtin_ilogbl(long double) __NDK_FPABI_MATH__ __pure2;
715 long double	__builtin_ldexpl(long double, int) __NDK_FPABI_MATH__;
716 long double	__builtin_lgammal(long double) __NDK_FPABI_MATH__;
717 long long	__builtin_llrintl(long double) __NDK_FPABI_MATH__;
718 long long	__builtin_llroundl(long double) __NDK_FPABI_MATH__;
719 long double	__builtin_log10l(long double) __NDK_FPABI_MATH__;
720 long double	__builtin_log1pl(long double) __NDK_FPABI_MATH__;
721 long double	__builtin_log2l(long double) __NDK_FPABI_MATH__;
722 long double	__builtin_logbl(long double) __NDK_FPABI_MATH__;
723 long double	__builtin_logl(long double) __NDK_FPABI_MATH__;
724 long		__builtin_lrintl(long double) __NDK_FPABI_MATH__;
725 long		__builtin_lroundl(long double) __NDK_FPABI_MATH__;
726 long double	__builtin_modfl(long double, long double *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
727 long double	__builtin_nanl(const char *) __NDK_FPABI_MATH__ __pure2;
728 long double	__builtin_nearbyintl(long double) __NDK_FPABI_MATH__;
729 long double	__builtin_nextafterl(long double, long double) __NDK_FPABI_MATH__;
730 double		__builtin_nexttoward(double, long double) __NDK_FPABI_MATH__;
731 float		__builtin_nexttowardf(float, long double) __NDK_FPABI_MATH__;
732 long double	__builtin_nexttowardl(long double, long double) __NDK_FPABI_MATH__;
733 long double	__builtin_powl(long double, long double) __NDK_FPABI_MATH__;
734 long double	__builtin_remainderl(long double, long double) __NDK_FPABI_MATH__;
735 long double	__builtin_remquol(long double, long double, int *) __NDK_FPABI_MATH__;
736 long double	__builtin_rintl(long double) __NDK_FPABI_MATH__;
737 long double	__builtin_roundl(long double) __NDK_FPABI_MATH__;
738 long double	__builtin_scalblnl(long double, long) __NDK_FPABI_MATH__;
739 long double	__builtin_scalbnl(long double, int) __NDK_FPABI_MATH__;
740 long double	__builtin_sinhl(long double) __NDK_FPABI_MATH__;
741 long double	__builtin_sinl(long double) __NDK_FPABI_MATH__;
742 long double	__builtin_sqrtl(long double) __NDK_FPABI_MATH__;
743 long double	__builtin_tanhl(long double) __NDK_FPABI_MATH__;
744 long double	__builtin_tanl(long double) __NDK_FPABI_MATH__;
745 long double	__builtin_tgammal(long double) __NDK_FPABI_MATH__;
746 long double	__builtin_truncl(long double) __NDK_FPABI_MATH__;
747 
748 #endif /* __ISO_C_VISIBLE >= 1999 */
749 
750 #if defined(_GNU_SOURCE)
751 void __builtin_sincos(double, double*, double*) __NDK_FPABI_MATH__;
752 void __builtin_sincosf(float, float*, float*) __NDK_FPABI_MATH__;
753 void __builtin_sincosl(long double, long double*, long double*) __NDK_FPABI_MATH__;
754 #endif /* _GNU_SOURCE */
755 
756 #pragma GCC visibility pop
757 __END_DECLS
758 
759 #endif /* !_MATH_H_ */
760