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diff --git a/9/platforms/android-21/arch-mips/usr/include/math.h b/9/platforms/android-21/arch-mips/usr/include/math.h
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--- /dev/null
+++ b/9/platforms/android-21/arch-mips/usr/include/math.h
@@ -0,0 +1,760 @@
+/*
+ * ====================================================
+ * 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
+ * $FreeBSD$
+ */
+
+#ifndef _MATH_H_
+#define _MATH_H_
+
+#include <sys/cdefs.h>
+#include <limits.h>
+
+__BEGIN_DECLS
+#pragma GCC visibility push(default)
+
+/*
+ * 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)
+#define __MATH_BUILTIN_CONSTANTS
+#endif
+
+#if __GNUC_PREREQ(3, 0) && !defined(__INTEL_COMPILER)
+#define __MATH_BUILTIN_RELOPS
+#endif
+
+#ifdef __MATH_BUILTIN_CONSTANTS
+#define HUGE_VAL __builtin_huge_val()
+#else
+#define HUGE_VAL (__infinity.__ud)
+#endif
+
+#if __ISO_C_VISIBLE >= 1999
+#define FP_ILOGB0 (-INT_MAX) /* Android-changed */
+#define FP_ILOGBNAN INT_MAX /* Android-changed */
+
+#ifdef __MATH_BUILTIN_CONSTANTS
+#define HUGE_VALF __builtin_huge_valf()
+#define HUGE_VALL __builtin_huge_vall()
+#define INFINITY __builtin_inff()
+#define NAN __builtin_nanf("")
+#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
+
+#define FP_FAST_FMAF 1
+#ifdef __ia64__
+#define FP_FAST_FMA 1
+#define FP_FAST_FMAL 1
+#endif
+
+/* 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))
+
+typedef double __double_t;
+typedef __double_t double_t;
+typedef float __float_t;
+typedef __float_t float_t;
+#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.
+ */
+
+/*
+ * 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 __isinfl(long double) __NDK_FPABI_MATH__ __pure2;
+int __isnanf(float) __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 log2(double) __NDK_FPABI_MATH__;
+double logb(double) __NDK_FPABI_MATH__;
+long lrint(double) __NDK_FPABI_MATH__;
+long lround(double) __NDK_FPABI_MATH__;
+double nan(const char *) __NDK_FPABI_MATH__ __pure2;
+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 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
+
+#if __XSI_VISIBLE <= 600 || __BSD_VISIBLE
+double scalb(double, 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;
+long double significandl(long double) __NDK_FPABI_MATH__;
+
+/*
+ * 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 log2f(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 tgammaf(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 nanf(const char *) __NDK_FPABI_MATH__ __pure2;
+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
+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__;
+long double ceill(long double) __NDK_FPABI_MATH__;
+long double copysignl(long double, long double) __NDK_FPABI_MATH__ __pure2;
+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__;
+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;
+long double fmodl(long double, long double) __NDK_FPABI_MATH__;
+long double frexpl(long double value, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */
+long double hypotl(long double, long double) __NDK_FPABI_MATH__;
+int ilogbl(long double) __NDK_FPABI_MATH__ __pure2;
+long double ldexpl(long double, int) __NDK_FPABI_MATH__;
+long double lgammal(long double) __NDK_FPABI_MATH__;
+long long llrintl(long double) __NDK_FPABI_MATH__;
+long long llroundl(long double) __NDK_FPABI_MATH__;
+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__;
+long lroundl(long double) __NDK_FPABI_MATH__;
+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__;
+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__;
+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__;
+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__;
+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__;
+long double truncl(long double) __NDK_FPABI_MATH__;
+
+#endif /* __ISO_C_VISIBLE >= 1999 */
+
+#if defined(_GNU_SOURCE)
+void sincos(double, double*, double*) __NDK_FPABI_MATH__;
+void sincosf(float, float*, float*) __NDK_FPABI_MATH__;
+void sincosl(long double, long double*, long double*) __NDK_FPABI_MATH__;
+#endif /* _GNU_SOURCE */
+
+/* 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__;
+
+/*
+ * These functions are not in C90.
+ */
+#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE
+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;
+#if !defined(__clang__) || __clang_major__ > 3 || (__clang_major__ == 3 && __clang_minor__ >= 7)
+/* See upstream bug http://llvm.org/bugs/show_bug.cgi?id=20958 */
+int __builtin_isinf(double) __NDK_FPABI_MATH__ __pure2;
+int __builtin_isnan(double) __NDK_FPABI_MATH__ __pure2;
+#else
+/* clang < 3.5 has faulty prototype for __builtin_isnan */
+#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_log2(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_nan(const char *) __NDK_FPABI_MATH__ __pure2;
+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__;
+#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
+
+#if __BSD_VISIBLE || __XSI_VISIBLE
+double __builtin_j0(double) __NDK_FPABI_MATH__;
+double __builtin_j1(double) __NDK_FPABI_MATH__;
+double __builtin_jn(int, 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__;
+
+#if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
+double __builtin_gamma(double) __NDK_FPABI_MATH__;
+#endif
+
+#if __XSI_VISIBLE <= 600 || __BSD_VISIBLE
+double __builtin_scalb(double, double) __NDK_FPABI_MATH__;
+#endif
+#endif /* __BSD_VISIBLE || __XSI_VISIBLE */
+
+#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
+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__;
+#endif
+
+/*
+ * BSD math library entry points
+ */
+#if __BSD_VISIBLE
+double __builtin_drem(double, double) __NDK_FPABI_MATH__;
+int __builtin_finite(double) __NDK_FPABI_MATH__ __pure2;
+int __builtin_isnanf(float) __NDK_FPABI_MATH__ __pure2;
+long double significandl(long double) __NDK_FPABI_MATH__;
+
+/*
+ * Reentrant version of gamma & lgamma; passes signgam back by reference
+ * as the second argument; user must allocate space for signgam.
+ */
+double __builtin_gamma_r(double, int *) __NDK_FPABI_MATH__;
+double __builtin_lgamma_r(double, int *) __NDK_FPABI_MATH__;
+
+/*
+ * IEEE Test Vector
+ */
+double __builtin_significand(double) __NDK_FPABI_MATH__;
+#endif /* __BSD_VISIBLE */
+
+/* float versions of ANSI/POSIX functions */
+#if __ISO_C_VISIBLE >= 1999
+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_log2f(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_tgammaf(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_nanf(const char *) __NDK_FPABI_MATH__ __pure2;
+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;
+#endif
+
+/*
+ * float versions of BSD math library entry points
+ */
+#if __BSD_VISIBLE
+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 versions of reentrant version of gamma & lgamma; passes
+ * signgam back by reference as the second argument; user must
+ * allocate space for signgam.
+ */
+float __builtin_gammaf_r(float, int *) __NDK_FPABI_MATH__;
+float __builtin_lgammaf_r(float, int *) __NDK_FPABI_MATH__;
+
+/*
+ * float version of IEEE Test Vector
+ */
+float __builtin_significandf(float) __NDK_FPABI_MATH__;
+#endif /* __BSD_VISIBLE */
+
+/*
+ * long double versions of ISO/POSIX math functions
+ */
+#if __ISO_C_VISIBLE >= 1999
+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__;
+double __builtin_nexttoward(double, long double) __NDK_FPABI_MATH__;
+float __builtin_nexttowardf(float, long double) __NDK_FPABI_MATH__;
+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__;
+
+#endif /* __ISO_C_VISIBLE >= 1999 */
+
+#if defined(_GNU_SOURCE)
+void __builtin_sincos(double, double*, double*) __NDK_FPABI_MATH__;
+void __builtin_sincosf(float, float*, float*) __NDK_FPABI_MATH__;
+void __builtin_sincosl(long double, long double*, long double*) __NDK_FPABI_MATH__;
+#endif /* _GNU_SOURCE */
+
+#pragma GCC visibility pop
+__END_DECLS
+
+#endif /* !_MATH_H_ */