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android_development/ndk/platforms/android-9/include/math.h
Andrew Hsieh 3598d53b42 Drop clang version check for __builtin_isinf and __builtin_isnan 
This CL unconditionally removes the existance of __builtin_isinf and
__builtin_isnan from math.h for clang, because (unlike other math functions)
clang doesn't like those to be declared.

See LLVM bugzilla entry: http://llvm.org/bugs/show_bug.cgi?id=20958

The reason for decorating all math functions with __attribute__((pcs("aapcs")))
is to offer developers the ability to compile their code with hardfp and still
link Android's libm.so which follows softfp calling convention.

Before issue 20958 is fixed, those who want clang to compile their code with
hardfp in NDK has to go all the way hard, ie.
1) LOCAL_CFLAGS += -mhard-float -D_NDK_MATH_NO_SOFTFP=1
   Note that _NDK_MATH_NO_SOFTFP=1 remove __attribute__((pcs("aapcs"))) for all math functions
2) LOCAL_LDLIBS += -lm_hard  # link libm_hard.a recompiled with -mhard-float instead of bionic libm.so

Change-Id: Ie2f95e73e58e1574e8cadbcab92a5209d94448e1
2015-01-16 14:24:04 -08:00

704 lines
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C
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/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/*
* from: @(#)fdlibm.h 5.1 93/09/24
* $FreeBSD: src/lib/msun/src/math.h,v 1.61 2005/04/16 21:12:47 das Exp $
*/
#ifndef _MATH_H_
#define _MATH_H_
#include <sys/cdefs.h>
#include <sys/types.h>
#include <limits.h>
#define __pure2
/*
* ANSI/POSIX
*/
extern const union __infinity_un {
unsigned char __uc[8];
double __ud;
} __infinity;
extern const union __nan_un {
unsigned char __uc[sizeof(float)];
float __uf;
} __nan;
/* #if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800) */
#if 1
#define __MATH_BUILTIN_CONSTANTS
#endif
/* #if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER) */
#if 1
#define __MATH_BUILTIN_RELOPS
#endif
/* #ifdef __MATH_BUILTIN_CONSTANTS */
#if 1
#define HUGE_VAL __builtin_huge_val()
#else
#define HUGE_VAL (__infinity.__ud)
#endif
/* #if __ISO_C_VISIBLE >= 1999 */
#if 0
#define FP_ILOGB0 (-__INT_MAX)
#define FP_ILOGBNAN __INT_MAX
#else
#define FP_ILOGB0 (-INT_MAX)
#define FP_ILOGBNAN INT_MAX
#endif
#ifdef __MATH_BUILTIN_CONSTANTS
#define HUGE_VALF __builtin_huge_valf()
#define HUGE_VALL __builtin_huge_vall()
#define INFINITY __builtin_inf()
#define NAN __builtin_nan("")
#else
#define HUGE_VALF (float)HUGE_VAL
#define HUGE_VALL (long double)HUGE_VAL
#define INFINITY HUGE_VALF
#define NAN (__nan.__uf)
#endif /* __MATH_BUILTIN_CONSTANTS */
#define MATH_ERRNO 1
#define MATH_ERREXCEPT 2
#define math_errhandling MATH_ERREXCEPT
/* XXX We need a <machine/math.h>. */
#if defined(__ia64__) || defined(__sparc64__)
#define FP_FAST_FMA
#endif
#ifdef __ia64__
#define FP_FAST_FMAL
#endif
#define FP_FAST_FMAF
/* Symbolic constants to classify floating point numbers. */
#define FP_INFINITE 0x01
#define FP_NAN 0x02
#define FP_NORMAL 0x04
#define FP_SUBNORMAL 0x08
#define FP_ZERO 0x10
#define fpclassify(x) \
((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \
: (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \
: __fpclassifyl(x))
#define isfinite(x) \
((sizeof (x) == sizeof (float)) ? __isfinitef(x) \
: (sizeof (x) == sizeof (double)) ? __isfinite(x) \
: __isfinitel(x))
#define isinf(x) \
((sizeof (x) == sizeof (float)) ? __isinff(x) \
: (sizeof (x) == sizeof (double)) ? __isinf(x) \
: __isinfl(x))
#define isnan(x) \
((sizeof (x) == sizeof (float)) ? isnanf(x) \
: (sizeof (x) == sizeof (double)) ? isnan(x) \
: __isnanl(x))
#define isnormal(x) \
((sizeof (x) == sizeof (float)) ? __isnormalf(x) \
: (sizeof (x) == sizeof (double)) ? __isnormal(x) \
: __isnormall(x))
#ifdef __MATH_BUILTIN_RELOPS
#define isgreater(x, y) __builtin_isgreater((x), (y))
#define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
#define isless(x, y) __builtin_isless((x), (y))
#define islessequal(x, y) __builtin_islessequal((x), (y))
#define islessgreater(x, y) __builtin_islessgreater((x), (y))
#define isunordered(x, y) __builtin_isunordered((x), (y))
#else
#define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
#define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
#define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
#define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
#define islessgreater(x, y) (!isunordered((x), (y)) && \
((x) > (y) || (y) > (x)))
#define isunordered(x, y) (isnan(x) || isnan(y))
#endif /* __MATH_BUILTIN_RELOPS */
#define signbit(x) \
((sizeof (x) == sizeof (float)) ? __signbitf(x) \
: (sizeof (x) == sizeof (double)) ? __signbit(x) \
: __signbitl(x))
#if 0
typedef __double_t double_t;
typedef __float_t float_t;
#endif
/* #endif */ /* __ISO_C_VISIBLE >= 1999 */
/*
* XOPEN/SVID
*/
/* #if __BSD_VISIBLE || __XSI_VISIBLE */
#define M_E 2.7182818284590452354 /* e */
#define M_LOG2E 1.4426950408889634074 /* log 2e */
#define M_LOG10E 0.43429448190325182765 /* log 10e */
#define M_LN2 0.69314718055994530942 /* log e2 */
#define M_LN10 2.30258509299404568402 /* log e10 */
#define M_PI 3.14159265358979323846 /* pi */
#define M_PI_2 1.57079632679489661923 /* pi/2 */
#define M_PI_4 0.78539816339744830962 /* pi/4 */
#define M_1_PI 0.31830988618379067154 /* 1/pi */
#define M_2_PI 0.63661977236758134308 /* 2/pi */
#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
#define MAXFLOAT ((float)3.40282346638528860e+38)
extern int signgam;
/* #endif */ /* __BSD_VISIBLE || __XSI_VISIBLE */
#if __BSD_VISIBLE
#if 0
/* Old value from 4.4BSD-Lite math.h; this is probably better. */
#define HUGE HUGE_VAL
#else
#define HUGE MAXFLOAT
#endif
#endif /* __BSD_VISIBLE */
/*
* Most of these functions depend on the rounding mode and have the side
* effect of raising floating-point exceptions, so they are not declared
* as __pure2. In C99, FENV_ACCESS affects the purity of these functions.
*/
__BEGIN_DECLS
/*
* ANSI/POSIX
*/
int __fpclassifyd(double) __NDK_FPABI_MATH__ __pure2;
int __fpclassifyf(float) __NDK_FPABI_MATH__ __pure2;
int __fpclassifyl(long double) __NDK_FPABI_MATH__ __pure2;
int __isfinitef(float) __NDK_FPABI_MATH__ __pure2;
int __isfinite(double) __NDK_FPABI_MATH__ __pure2;
int __isfinitel(long double) __NDK_FPABI_MATH__ __pure2;
int __isinff(float) __NDK_FPABI_MATH__ __pure2;
int __isinf(double) __NDK_FPABI_MATH__ __pure2;
int __isinfl(long double) __NDK_FPABI_MATH__ __pure2;
int __isnanl(long double) __NDK_FPABI_MATH__ __pure2;
int __isnormalf(float) __NDK_FPABI_MATH__ __pure2;
int __isnormal(double) __NDK_FPABI_MATH__ __pure2;
int __isnormall(long double) __NDK_FPABI_MATH__ __pure2;
int __signbit(double) __NDK_FPABI_MATH__ __pure2;
int __signbitf(float) __NDK_FPABI_MATH__ __pure2;
int __signbitl(long double) __NDK_FPABI_MATH__ __pure2;
double acos(double) __NDK_FPABI_MATH__;
double asin(double) __NDK_FPABI_MATH__;
double atan(double) __NDK_FPABI_MATH__;
double atan2(double, double) __NDK_FPABI_MATH__;
double cos(double) __NDK_FPABI_MATH__;
double sin(double) __NDK_FPABI_MATH__;
double tan(double) __NDK_FPABI_MATH__;
double cosh(double) __NDK_FPABI_MATH__;
double sinh(double) __NDK_FPABI_MATH__;
double tanh(double) __NDK_FPABI_MATH__;
double exp(double) __NDK_FPABI_MATH__;
double frexp(double, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
double ldexp(double, int) __NDK_FPABI_MATH__;
double log(double) __NDK_FPABI_MATH__;
double log10(double) __NDK_FPABI_MATH__;
double modf(double, double *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
double pow(double, double) __NDK_FPABI_MATH__;
double sqrt(double) __NDK_FPABI_MATH__;
double ceil(double) __NDK_FPABI_MATH__;
double fabs(double) __NDK_FPABI_MATH__ __pure2;
double floor(double) __NDK_FPABI_MATH__;
double fmod(double, double) __NDK_FPABI_MATH__;
/*
* These functions are not in C90.
*/
/* #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
double acosh(double) __NDK_FPABI_MATH__;
double asinh(double) __NDK_FPABI_MATH__;
double atanh(double) __NDK_FPABI_MATH__;
double cbrt(double) __NDK_FPABI_MATH__;
double erf(double) __NDK_FPABI_MATH__;
double erfc(double) __NDK_FPABI_MATH__;
double exp2(double) __NDK_FPABI_MATH__;
double expm1(double) __NDK_FPABI_MATH__;
double fma(double, double, double) __NDK_FPABI_MATH__;
double hypot(double, double) __NDK_FPABI_MATH__;
int ilogb(double) __NDK_FPABI_MATH__ __pure2;
/* int (isinf)(double) __NDK_FPABI_MATH__ __pure2; */
int (isnan)(double) __NDK_FPABI_MATH__ __pure2;
double lgamma(double) __NDK_FPABI_MATH__;
long long llrint(double) __NDK_FPABI_MATH__;
long long llround(double) __NDK_FPABI_MATH__;
double log1p(double) __NDK_FPABI_MATH__;
double logb(double) __NDK_FPABI_MATH__;
long lrint(double) __NDK_FPABI_MATH__;
long lround(double) __NDK_FPABI_MATH__;
double nextafter(double, double) __NDK_FPABI_MATH__;
double remainder(double, double) __NDK_FPABI_MATH__;
double remquo(double, double, int *) __NDK_FPABI_MATH__;
double rint(double) __NDK_FPABI_MATH__;
/* #endif */ /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
/* #if __BSD_VISIBLE || __XSI_VISIBLE */
double j0(double) __NDK_FPABI_MATH__;
double j1(double) __NDK_FPABI_MATH__;
double jn(int, double) __NDK_FPABI_MATH__;
double scalb(double, double) __NDK_FPABI_MATH__;
double y0(double) __NDK_FPABI_MATH__;
double y1(double) __NDK_FPABI_MATH__;
double yn(int, double) __NDK_FPABI_MATH__;
/* #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE */
double gamma(double) __NDK_FPABI_MATH__;
/* #endif */
/* #endif */ /* __BSD_VISIBLE || __XSI_VISIBLE */
/* #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 */
double copysign(double, double) __NDK_FPABI_MATH__ __pure2;
double fdim(double, double) __NDK_FPABI_MATH__;
double fmax(double, double) __NDK_FPABI_MATH__ __pure2;
double fmin(double, double) __NDK_FPABI_MATH__ __pure2;
double nearbyint(double) __NDK_FPABI_MATH__;
double round(double) __NDK_FPABI_MATH__;
double scalbln(double, long) __NDK_FPABI_MATH__;
double scalbn(double, int) __NDK_FPABI_MATH__;
double tgamma(double) __NDK_FPABI_MATH__;
double trunc(double) __NDK_FPABI_MATH__;
/* #endif */
/*
* BSD math library entry points
*/
/* #if __BSD_VISIBLE */
double drem(double, double) __NDK_FPABI_MATH__;
int finite(double) __NDK_FPABI_MATH__ __pure2;
int isnanf(float) __NDK_FPABI_MATH__ __pure2;
/*
* Reentrant version of gamma & lgamma; passes signgam back by reference
* as the second argument; user must allocate space for signgam.
*/
double gamma_r(double, int *) __NDK_FPABI_MATH__;
double lgamma_r(double, int *) __NDK_FPABI_MATH__;
/*
* IEEE Test Vector
*/
double significand(double) __NDK_FPABI_MATH__;
/* #endif */ /* __BSD_VISIBLE */
/* float versions of ANSI/POSIX functions */
/*#if __ISO_C_VISIBLE >= 1999 */
float acosf(float) __NDK_FPABI_MATH__;
float asinf(float) __NDK_FPABI_MATH__;
float atanf(float) __NDK_FPABI_MATH__;
float atan2f(float, float) __NDK_FPABI_MATH__;
float cosf(float) __NDK_FPABI_MATH__;
float sinf(float) __NDK_FPABI_MATH__;
float tanf(float) __NDK_FPABI_MATH__;
float coshf(float) __NDK_FPABI_MATH__;
float sinhf(float) __NDK_FPABI_MATH__;
float tanhf(float) __NDK_FPABI_MATH__;
float exp2f(float) __NDK_FPABI_MATH__;
float expf(float) __NDK_FPABI_MATH__;
float expm1f(float) __NDK_FPABI_MATH__;
float frexpf(float, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
int ilogbf(float) __NDK_FPABI_MATH__ __pure2;
float ldexpf(float, int) __NDK_FPABI_MATH__;
float log10f(float) __NDK_FPABI_MATH__;
float log1pf(float) __NDK_FPABI_MATH__;
float logf(float) __NDK_FPABI_MATH__;
float modff(float, float *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
float powf(float, float) __NDK_FPABI_MATH__;
float sqrtf(float) __NDK_FPABI_MATH__;
float ceilf(float) __NDK_FPABI_MATH__;
float fabsf(float) __NDK_FPABI_MATH__ __pure2;
float floorf(float) __NDK_FPABI_MATH__;
float fmodf(float, float) __NDK_FPABI_MATH__;
float roundf(float) __NDK_FPABI_MATH__;
float erff(float) __NDK_FPABI_MATH__;
float erfcf(float) __NDK_FPABI_MATH__;
float hypotf(float, float) __NDK_FPABI_MATH__;
float lgammaf(float) __NDK_FPABI_MATH__;
float acoshf(float) __NDK_FPABI_MATH__;
float asinhf(float) __NDK_FPABI_MATH__;
float atanhf(float) __NDK_FPABI_MATH__;
float cbrtf(float) __NDK_FPABI_MATH__;
float logbf(float) __NDK_FPABI_MATH__;
float copysignf(float, float) __NDK_FPABI_MATH__ __pure2;
long long llrintf(float) __NDK_FPABI_MATH__;
long long llroundf(float) __NDK_FPABI_MATH__;
long lrintf(float) __NDK_FPABI_MATH__;
long lroundf(float) __NDK_FPABI_MATH__;
float nearbyintf(float) __NDK_FPABI_MATH__;
float nextafterf(float, float) __NDK_FPABI_MATH__;
float remainderf(float, float) __NDK_FPABI_MATH__;
float remquof(float, float, int *) __NDK_FPABI_MATH__;
float rintf(float) __NDK_FPABI_MATH__;
float scalblnf(float, long) __NDK_FPABI_MATH__;
float scalbnf(float, int) __NDK_FPABI_MATH__;
float truncf(float) __NDK_FPABI_MATH__;
float fdimf(float, float) __NDK_FPABI_MATH__;
float fmaf(float, float, float) __NDK_FPABI_MATH__;
float fmaxf(float, float) __NDK_FPABI_MATH__ __pure2;
float fminf(float, float) __NDK_FPABI_MATH__ __pure2;
/* #endif */
/*
* float versions of BSD math library entry points
*/
/* #if __BSD_VISIBLE */
float dremf(float, float) __NDK_FPABI_MATH__;
int finitef(float) __NDK_FPABI_MATH__ __pure2;
float gammaf(float) __NDK_FPABI_MATH__;
float j0f(float) __NDK_FPABI_MATH__;
float j1f(float) __NDK_FPABI_MATH__;
float jnf(int, float) __NDK_FPABI_MATH__;
float scalbf(float, float) __NDK_FPABI_MATH__;
float y0f(float) __NDK_FPABI_MATH__;
float y1f(float) __NDK_FPABI_MATH__;
float ynf(int, float) __NDK_FPABI_MATH__;
/*
* Float versions of reentrant version of gamma & lgamma; passes
* signgam back by reference as the second argument; user must
* allocate space for signgam.
*/
float gammaf_r(float, int *) __NDK_FPABI_MATH__;
float lgammaf_r(float, int *) __NDK_FPABI_MATH__;
/*
* float version of IEEE Test Vector
*/
float significandf(float) __NDK_FPABI_MATH__;
/* #endif */ /* __BSD_VISIBLE */
/*
* long double versions of ISO/POSIX math functions
*/
/* #if __ISO_C_VISIBLE >= 1999 */
#if 0
long double acoshl(long double) __NDK_FPABI_MATH__;
long double acosl(long double) __NDK_FPABI_MATH__;
long double asinhl(long double) __NDK_FPABI_MATH__;
long double asinl(long double) __NDK_FPABI_MATH__;
long double atan2l(long double, long double) __NDK_FPABI_MATH__;
long double atanhl(long double) __NDK_FPABI_MATH__;
long double atanl(long double) __NDK_FPABI_MATH__;
long double cbrtl(long double) __NDK_FPABI_MATH__;
#endif
long double ceill(long double) __NDK_FPABI_MATH__;
long double copysignl(long double, long double) __NDK_FPABI_MATH__ __pure2;
#if 0
long double coshl(long double) __NDK_FPABI_MATH__;
long double cosl(long double) __NDK_FPABI_MATH__;
long double erfcl(long double) __NDK_FPABI_MATH__;
long double erfl(long double) __NDK_FPABI_MATH__;
long double exp2l(long double) __NDK_FPABI_MATH__;
long double expl(long double) __NDK_FPABI_MATH__;
long double expm1l(long double) __NDK_FPABI_MATH__;
#endif
long double fabsl(long double) __NDK_FPABI_MATH__ __pure2;
long double fdiml(long double, long double) __NDK_FPABI_MATH__;
long double floorl(long double) __NDK_FPABI_MATH__;
long double fmal(long double, long double, long double) __NDK_FPABI_MATH__;
long double fmaxl(long double, long double) __NDK_FPABI_MATH__ __pure2;
long double fminl(long double, long double) __NDK_FPABI_MATH__ __pure2;
#if 0
long double fmodl(long double, long double) __NDK_FPABI_MATH__;
#endif
long double frexpl(long double value, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
#if 0
long double hypotl(long double, long double) __NDK_FPABI_MATH__;
#endif
int ilogbl(long double) __NDK_FPABI_MATH__ __pure2;
long double ldexpl(long double, int) __NDK_FPABI_MATH__;
#if 0
long double lgammal(long double) __NDK_FPABI_MATH__;
long long llrintl(long double) __NDK_FPABI_MATH__;
#endif
long long llroundl(long double) __NDK_FPABI_MATH__;
#if 0
long double log10l(long double) __NDK_FPABI_MATH__;
long double log1pl(long double) __NDK_FPABI_MATH__;
long double log2l(long double) __NDK_FPABI_MATH__;
long double logbl(long double) __NDK_FPABI_MATH__;
long double logl(long double) __NDK_FPABI_MATH__;
long lrintl(long double) __NDK_FPABI_MATH__;
#endif
long lroundl(long double) __NDK_FPABI_MATH__;
#if 0
long double modfl(long double, long double *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
long double nanl(const char *) __NDK_FPABI_MATH__ __pure2;
long double nearbyintl(long double) __NDK_FPABI_MATH__;
#endif
long double nextafterl(long double, long double) __NDK_FPABI_MATH__;
double nexttoward(double, long double) __NDK_FPABI_MATH__;
float nexttowardf(float, long double) __NDK_FPABI_MATH__;
long double nexttowardl(long double, long double) __NDK_FPABI_MATH__;
#if 0
long double powl(long double, long double) __NDK_FPABI_MATH__;
long double remainderl(long double, long double) __NDK_FPABI_MATH__;
long double remquol(long double, long double, int *) __NDK_FPABI_MATH__;
long double rintl(long double) __NDK_FPABI_MATH__;
#endif
long double roundl(long double) __NDK_FPABI_MATH__;
long double scalblnl(long double, long) __NDK_FPABI_MATH__;
long double scalbnl(long double, int) __NDK_FPABI_MATH__;
#if 0
long double sinhl(long double) __NDK_FPABI_MATH__;
long double sinl(long double) __NDK_FPABI_MATH__;
long double sqrtl(long double) __NDK_FPABI_MATH__;
long double tanhl(long double) __NDK_FPABI_MATH__;
long double tanl(long double) __NDK_FPABI_MATH__;
long double tgammal(long double) __NDK_FPABI_MATH__;
#endif
long double truncl(long double) __NDK_FPABI_MATH__;
/* BIONIC: GLibc compatibility - required by the ARM toolchain */
#ifdef _GNU_SOURCE
void sincos(double x, double *sin, double *cos) __NDK_FPABI_MATH__;
void sincosf(float x, float *sin, float *cos) __NDK_FPABI_MATH__;
void sincosl(long double x, long double *sin, long double *cos) __NDK_FPABI_MATH__;
#endif
/* builtin version of all the above math functions are annotated too */
double __builtin_acos(double) __NDK_FPABI_MATH__;
double __builtin_asin(double) __NDK_FPABI_MATH__;
double __builtin_atan(double) __NDK_FPABI_MATH__;
double __builtin_atan2(double, double) __NDK_FPABI_MATH__;
double __builtin_cos(double) __NDK_FPABI_MATH__;
double __builtin_sin(double) __NDK_FPABI_MATH__;
double __builtin_tan(double) __NDK_FPABI_MATH__;
double __builtin_cosh(double) __NDK_FPABI_MATH__;
double __builtin_sinh(double) __NDK_FPABI_MATH__;
double __builtin_tanh(double) __NDK_FPABI_MATH__;
double __builtin_exp(double) __NDK_FPABI_MATH__;
double __builtin_frexp(double, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
double __builtin_ldexp(double, int) __NDK_FPABI_MATH__;
double __builtin_log(double) __NDK_FPABI_MATH__;
double __builtin_log10(double) __NDK_FPABI_MATH__;
double __builtin_modf(double, double *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
double __builtin_pow(double, double) __NDK_FPABI_MATH__;
double __builtin_sqrt(double) __NDK_FPABI_MATH__;
double __builtin_ceil(double) __NDK_FPABI_MATH__;
double __builtin_fabs(double) __NDK_FPABI_MATH__ __pure2;
double __builtin_floor(double) __NDK_FPABI_MATH__;
double __builtin_fmod(double, double) __NDK_FPABI_MATH__;
double __builtin_acosh(double) __NDK_FPABI_MATH__;
double __builtin_asinh(double) __NDK_FPABI_MATH__;
double __builtin_atanh(double) __NDK_FPABI_MATH__;
double __builtin_cbrt(double) __NDK_FPABI_MATH__;
double __builtin_erf(double) __NDK_FPABI_MATH__;
double __builtin_erfc(double) __NDK_FPABI_MATH__;
double __builtin_exp2(double) __NDK_FPABI_MATH__;
double __builtin_expm1(double) __NDK_FPABI_MATH__;
double __builtin_fma(double, double, double) __NDK_FPABI_MATH__;
double __builtin_hypot(double, double) __NDK_FPABI_MATH__;
int __builtin_ilogb(double) __NDK_FPABI_MATH__ __pure2;
/* int __builtin_isinf(double) __NDK_FPABI_MATH__ __pure2; */
#if !defined(__clang__)
/* See upstream bug http://llvm.org/bugs/show_bug.cgi?id=20958 */
int __builtin_isnan(double) __NDK_FPABI_MATH__ __pure2;
#endif
double __builtin_lgamma(double) __NDK_FPABI_MATH__;
long long __builtin_llrint(double) __NDK_FPABI_MATH__;
long long __builtin_llround(double) __NDK_FPABI_MATH__;
double __builtin_log1p(double) __NDK_FPABI_MATH__;
double __builtin_logb(double) __NDK_FPABI_MATH__;
long __builtin_lrint(double) __NDK_FPABI_MATH__;
long __builtin_lround(double) __NDK_FPABI_MATH__;
double __builtin_nextafter(double, double) __NDK_FPABI_MATH__;
double __builtin_remainder(double, double) __NDK_FPABI_MATH__;
double __builtin_remquo(double, double, int *) __NDK_FPABI_MATH__;
double __builtin_rint(double) __NDK_FPABI_MATH__;
double __builtin_j0(double) __NDK_FPABI_MATH__;
double __builtin_j1(double) __NDK_FPABI_MATH__;
double __builtin_jn(int, double) __NDK_FPABI_MATH__;
double __builtin_scalb(double, double) __NDK_FPABI_MATH__;
double __builtin_y0(double) __NDK_FPABI_MATH__;
double __builtin_y1(double) __NDK_FPABI_MATH__;
double __builtin_yn(int, double) __NDK_FPABI_MATH__;
double __builtin_gamma(double) __NDK_FPABI_MATH__;
double __builtin_copysign(double, double) __NDK_FPABI_MATH__ __pure2;
double __builtin_fdim(double, double) __NDK_FPABI_MATH__;
double __builtin_fmax(double, double) __NDK_FPABI_MATH__ __pure2;
double __builtin_fmin(double, double) __NDK_FPABI_MATH__ __pure2;
double __builtin_nearbyint(double) __NDK_FPABI_MATH__;
double __builtin_round(double) __NDK_FPABI_MATH__;
double __builtin_scalbln(double, long) __NDK_FPABI_MATH__;
double __builtin_scalbn(double, int) __NDK_FPABI_MATH__;
double __builtin_tgamma(double) __NDK_FPABI_MATH__;
double __builtin_trunc(double) __NDK_FPABI_MATH__;
double __builtin_drem(double, double) __NDK_FPABI_MATH__;
int __builtin_finite(double) __NDK_FPABI_MATH__ __pure2;
int __builtin_isnanf(float) __NDK_FPABI_MATH__ __pure2;
double __builtin_gamma_r(double, int *) __NDK_FPABI_MATH__;
double __builtin_lgamma_r(double, int *) __NDK_FPABI_MATH__;
double __builtin_significand(double) __NDK_FPABI_MATH__;
float __builtin_acosf(float) __NDK_FPABI_MATH__;
float __builtin_asinf(float) __NDK_FPABI_MATH__;
float __builtin_atanf(float) __NDK_FPABI_MATH__;
float __builtin_atan2f(float, float) __NDK_FPABI_MATH__;
float __builtin_cosf(float) __NDK_FPABI_MATH__;
float __builtin_sinf(float) __NDK_FPABI_MATH__;
float __builtin_tanf(float) __NDK_FPABI_MATH__;
float __builtin_coshf(float) __NDK_FPABI_MATH__;
float __builtin_sinhf(float) __NDK_FPABI_MATH__;
float __builtin_tanhf(float) __NDK_FPABI_MATH__;
float __builtin_exp2f(float) __NDK_FPABI_MATH__;
float __builtin_expf(float) __NDK_FPABI_MATH__;
float __builtin_expm1f(float) __NDK_FPABI_MATH__;
float __builtin_frexpf(float, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
int __builtin_ilogbf(float) __NDK_FPABI_MATH__ __pure2;
float __builtin_ldexpf(float, int) __NDK_FPABI_MATH__;
float __builtin_log10f(float) __NDK_FPABI_MATH__;
float __builtin_log1pf(float) __NDK_FPABI_MATH__;
float __builtin_logf(float) __NDK_FPABI_MATH__;
float __builtin_modff(float, float *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
float __builtin_powf(float, float) __NDK_FPABI_MATH__;
float __builtin_sqrtf(float) __NDK_FPABI_MATH__;
float __builtin_ceilf(float) __NDK_FPABI_MATH__;
float __builtin_fabsf(float) __NDK_FPABI_MATH__ __pure2;
float __builtin_floorf(float) __NDK_FPABI_MATH__;
float __builtin_fmodf(float, float) __NDK_FPABI_MATH__;
float __builtin_roundf(float) __NDK_FPABI_MATH__;
float __builtin_erff(float) __NDK_FPABI_MATH__;
float __builtin_erfcf(float) __NDK_FPABI_MATH__;
float __builtin_hypotf(float, float) __NDK_FPABI_MATH__;
float __builtin_lgammaf(float) __NDK_FPABI_MATH__;
float __builtin_acoshf(float) __NDK_FPABI_MATH__;
float __builtin_asinhf(float) __NDK_FPABI_MATH__;
float __builtin_atanhf(float) __NDK_FPABI_MATH__;
float __builtin_cbrtf(float) __NDK_FPABI_MATH__;
float __builtin_logbf(float) __NDK_FPABI_MATH__;
float __builtin_copysignf(float, float) __NDK_FPABI_MATH__ __pure2;
long long __builtin_llrintf(float) __NDK_FPABI_MATH__;
long long __builtin_llroundf(float) __NDK_FPABI_MATH__;
long __builtin_lrintf(float) __NDK_FPABI_MATH__;
long __builtin_lroundf(float) __NDK_FPABI_MATH__;
float __builtin_nearbyintf(float) __NDK_FPABI_MATH__;
float __builtin_nextafterf(float, float) __NDK_FPABI_MATH__;
float __builtin_remainderf(float, float) __NDK_FPABI_MATH__;
float __builtin_remquof(float, float, int *) __NDK_FPABI_MATH__;
float __builtin_rintf(float) __NDK_FPABI_MATH__;
float __builtin_scalblnf(float, long) __NDK_FPABI_MATH__;
float __builtin_scalbnf(float, int) __NDK_FPABI_MATH__;
float __builtin_truncf(float) __NDK_FPABI_MATH__;
float __builtin_fdimf(float, float) __NDK_FPABI_MATH__;
float __builtin_fmaf(float, float, float) __NDK_FPABI_MATH__;
float __builtin_fmaxf(float, float) __NDK_FPABI_MATH__ __pure2;
float __builtin_fminf(float, float) __NDK_FPABI_MATH__ __pure2;
float __builtin_dremf(float, float) __NDK_FPABI_MATH__;
int __builtin_finitef(float) __NDK_FPABI_MATH__ __pure2;
float __builtin_gammaf(float) __NDK_FPABI_MATH__;
float __builtin_j0f(float) __NDK_FPABI_MATH__;
float __builtin_j1f(float) __NDK_FPABI_MATH__;
float __builtin_jnf(int, float) __NDK_FPABI_MATH__;
float __builtin_scalbf(float, float) __NDK_FPABI_MATH__;
float __builtin_y0f(float) __NDK_FPABI_MATH__;
float __builtin_y1f(float) __NDK_FPABI_MATH__;
float __builtin_ynf(int, float) __NDK_FPABI_MATH__;
float __builtin_gammaf_r(float, int *) __NDK_FPABI_MATH__;
float __builtin_lgammaf_r(float, int *) __NDK_FPABI_MATH__;
float __builtin_significandf(float) __NDK_FPABI_MATH__;
long double __builtin_acoshl(long double) __NDK_FPABI_MATH__;
long double __builtin_acosl(long double) __NDK_FPABI_MATH__;
long double __builtin_asinhl(long double) __NDK_FPABI_MATH__;
long double __builtin_asinl(long double) __NDK_FPABI_MATH__;
long double __builtin_atan2l(long double, long double) __NDK_FPABI_MATH__;
long double __builtin_atanhl(long double) __NDK_FPABI_MATH__;
long double __builtin_atanl(long double) __NDK_FPABI_MATH__;
long double __builtin_cbrtl(long double) __NDK_FPABI_MATH__;
long double __builtin_ceill(long double) __NDK_FPABI_MATH__;
long double __builtin_copysignl(long double, long double) __NDK_FPABI_MATH__ __pure2;
long double __builtin_coshl(long double) __NDK_FPABI_MATH__;
long double __builtin_cosl(long double) __NDK_FPABI_MATH__;
long double __builtin_erfcl(long double) __NDK_FPABI_MATH__;
long double __builtin_erfl(long double) __NDK_FPABI_MATH__;
long double __builtin_exp2l(long double) __NDK_FPABI_MATH__;
long double __builtin_expl(long double) __NDK_FPABI_MATH__;
long double __builtin_expm1l(long double) __NDK_FPABI_MATH__;
long double __builtin_fabsl(long double) __NDK_FPABI_MATH__ __pure2;
long double __builtin_fdiml(long double, long double) __NDK_FPABI_MATH__;
long double __builtin_floorl(long double) __NDK_FPABI_MATH__;
long double __builtin_fmal(long double, long double, long double) __NDK_FPABI_MATH__;
long double __builtin_fmaxl(long double, long double) __NDK_FPABI_MATH__ __pure2;
long double __builtin_fminl(long double, long double) __NDK_FPABI_MATH__ __pure2;
long double __builtin_fmodl(long double, long double) __NDK_FPABI_MATH__;
long double __builtin_frexpl(long double value, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
long double __builtin_hypotl(long double, long double) __NDK_FPABI_MATH__;
int __builtin_ilogbl(long double) __NDK_FPABI_MATH__ __pure2;
long double __builtin_ldexpl(long double, int) __NDK_FPABI_MATH__;
long double __builtin_lgammal(long double) __NDK_FPABI_MATH__;
long long __builtin_llrintl(long double) __NDK_FPABI_MATH__;
long long __builtin_llroundl(long double) __NDK_FPABI_MATH__;
long double __builtin_log10l(long double) __NDK_FPABI_MATH__;
long double __builtin_log1pl(long double) __NDK_FPABI_MATH__;
long double __builtin_log2l(long double) __NDK_FPABI_MATH__;
long double __builtin_logbl(long double) __NDK_FPABI_MATH__;
long double __builtin_logl(long double) __NDK_FPABI_MATH__;
long __builtin_lrintl(long double) __NDK_FPABI_MATH__;
long __builtin_lroundl(long double) __NDK_FPABI_MATH__;
long double __builtin_modfl(long double, long double *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
long double __builtin_nanl(const char *) __NDK_FPABI_MATH__ __pure2;
long double __builtin_nearbyintl(long double) __NDK_FPABI_MATH__;
long double __builtin_nextafterl(long double, long double) __NDK_FPABI_MATH__;
#if !defined(__clang__) || __clang_major__ > 3 || (__clang_major__ == 3 && __clang_minor__ >= 4)
double __builtin_nexttoward(double, long double) __NDK_FPABI_MATH__;
float __builtin_nexttowardf(float, long double) __NDK_FPABI_MATH__;
#else
/* clang < 3.4 */
double __builtin_nexttoward(double, double) __NDK_FPABI_MATH__;
float __builtin_nexttowardf(float, float) __NDK_FPABI_MATH__;
#endif
long double __builtin_nexttowardl(long double, long double) __NDK_FPABI_MATH__;
long double __builtin_powl(long double, long double) __NDK_FPABI_MATH__;
long double __builtin_remainderl(long double, long double) __NDK_FPABI_MATH__;
long double __builtin_remquol(long double, long double, int *) __NDK_FPABI_MATH__;
long double __builtin_rintl(long double) __NDK_FPABI_MATH__;
long double __builtin_roundl(long double) __NDK_FPABI_MATH__;
long double __builtin_scalblnl(long double, long) __NDK_FPABI_MATH__;
long double __builtin_scalbnl(long double, int) __NDK_FPABI_MATH__;
long double __builtin_sinhl(long double) __NDK_FPABI_MATH__;
long double __builtin_sinl(long double) __NDK_FPABI_MATH__;
long double __builtin_sqrtl(long double) __NDK_FPABI_MATH__;
long double __builtin_tanhl(long double) __NDK_FPABI_MATH__;
long double __builtin_tanl(long double) __NDK_FPABI_MATH__;
long double __builtin_tgammal(long double) __NDK_FPABI_MATH__;
long double __builtin_truncl(long double) __NDK_FPABI_MATH__;
void __builtin_sincos(double x, double *sin, double *cos) __NDK_FPABI_MATH__;
void __builtin_sincosf(float x, float *sin, float *cos) __NDK_FPABI_MATH__;
void __builtin_sincosl(long double x, long double *sin, long double *cos) __NDK_FPABI_MATH__;
/* #endif */ /* __ISO_C_VISIBLE >= 1999 */
__END_DECLS
#endif /* !_MATH_H_ */
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