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platform_bionic/libm/include/math.h
Elliott Hughes a0ee07829a Upgrade libm. 
This brings us up to date with FreeBSD HEAD, fixes various bugs, unifies
the set of functions we support on ARM, MIPS, and x86, fixes "long double",
adds ISO C99 support, and adds basic unit tests.

It turns out that our "long double" functions have always been broken
for non-normal numbers. This patch fixes that by not using the upstream
implementations and just forwarding to the regular "double" implementation
instead (since "long double" on Android is just "double" anyway, which is
what BSD doesn't support).

All the tests pass on ARM, MIPS, and x86, plus glibc on x86-64.

Bug: 3169850
Bug: 8012787
Bug: https://code.google.com/p/android/issues/detail?id=6697
Change-Id: If0c343030959c24bfc50d4d21c9530052c581837
2013-02-01 14:51:19 -08:00

480 lines
13 KiB
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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
* $FreeBSD$
*/
#ifndef _MATH_H_
#define _MATH_H_
#include <sys/cdefs.h>
#include <sys/_types.h>
#include <limits.h>
/*
* 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_t double_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.
*/
__BEGIN_DECLS
/*
* ANSI/POSIX
*/
int __fpclassifyd(double) __pure2;
int __fpclassifyf(float) __pure2;
int __fpclassifyl(long double) __pure2;
int __isfinitef(float) __pure2;
int __isfinite(double) __pure2;
int __isfinitel(long double) __pure2;
int __isinff(float) __pure2;
int __isinfl(long double) __pure2;
int __isnanf(float) __pure2;
int __isnanl(long double) __pure2;
int __isnormalf(float) __pure2;
int __isnormal(double) __pure2;
int __isnormall(long double) __pure2;
int __signbit(double) __pure2;
int __signbitf(float) __pure2;
int __signbitl(long double) __pure2;
double acos(double);
double asin(double);
double atan(double);
double atan2(double, double);
double cos(double);
double sin(double);
double tan(double);
double cosh(double);
double sinh(double);
double tanh(double);
double exp(double);
double frexp(double, int *); /* fundamentally !__pure2 */
double ldexp(double, int);
double log(double);
double log10(double);
double modf(double, double *); /* fundamentally !__pure2 */
double pow(double, double);
double sqrt(double);
double ceil(double);
double fabs(double) __pure2;
double floor(double);
double fmod(double, double);
/*
* These functions are not in C90.
*/
#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE
double acosh(double);
double asinh(double);
double atanh(double);
double cbrt(double);
double erf(double);
double erfc(double);
double exp2(double);
double expm1(double);
double fma(double, double, double);
double hypot(double, double);
int ilogb(double) __pure2;
int (isinf)(double) __pure2;
int (isnan)(double) __pure2;
double lgamma(double);
long long llrint(double);
long long llround(double);
double log1p(double);
double log2(double);
double logb(double);
long lrint(double);
long lround(double);
double nan(const char *) __pure2;
double nextafter(double, double);
double remainder(double, double);
double remquo(double, double, int *);
double rint(double);
#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
#if __BSD_VISIBLE || __XSI_VISIBLE
double j0(double);
double j1(double);
double jn(int, double);
double y0(double);
double y1(double);
double yn(int, double);
#if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
double gamma(double);
#endif
#if __XSI_VISIBLE <= 600 || __BSD_VISIBLE
double scalb(double, double);
#endif
#endif /* __BSD_VISIBLE || __XSI_VISIBLE */
#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
double copysign(double, double) __pure2;
double fdim(double, double);
double fmax(double, double) __pure2;
double fmin(double, double) __pure2;
double nearbyint(double);
double round(double);
double scalbln(double, long);
double scalbn(double, int);
double tgamma(double);
double trunc(double);
#endif
/*
* BSD math library entry points
*/
#if __BSD_VISIBLE
double drem(double, double);
int finite(double) __pure2;
int isnanf(float) __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 *);
double lgamma_r(double, int *);
/*
* IEEE Test Vector
*/
double significand(double);
#endif /* __BSD_VISIBLE */
/* float versions of ANSI/POSIX functions */
#if __ISO_C_VISIBLE >= 1999
float acosf(float);
float asinf(float);
float atanf(float);
float atan2f(float, float);
float cosf(float);
float sinf(float);
float tanf(float);
float coshf(float);
float sinhf(float);
float tanhf(float);
float exp2f(float);
float expf(float);
float expm1f(float);
float frexpf(float, int *); /* fundamentally !__pure2 */
int ilogbf(float) __pure2;
float ldexpf(float, int);
float log10f(float);
float log1pf(float);
float log2f(float);
float logf(float);
float modff(float, float *); /* fundamentally !__pure2 */
float powf(float, float);
float sqrtf(float);
float ceilf(float);
float fabsf(float) __pure2;
float floorf(float);
float fmodf(float, float);
float roundf(float);
float erff(float);
float erfcf(float);
float hypotf(float, float);
float lgammaf(float);
float tgammaf(float);
float acoshf(float);
float asinhf(float);
float atanhf(float);
float cbrtf(float);
float logbf(float);
float copysignf(float, float) __pure2;
long long llrintf(float);
long long llroundf(float);
long lrintf(float);
long lroundf(float);
float nanf(const char *) __pure2;
float nearbyintf(float);
float nextafterf(float, float);
float remainderf(float, float);
float remquof(float, float, int *);
float rintf(float);
float scalblnf(float, long);
float scalbnf(float, int);
float truncf(float);
float fdimf(float, float);
float fmaf(float, float, float);
float fmaxf(float, float) __pure2;
float fminf(float, float) __pure2;
#endif
/*
* float versions of BSD math library entry points
*/
#if __BSD_VISIBLE
float dremf(float, float);
int finitef(float) __pure2;
float gammaf(float);
float j0f(float);
float j1f(float);
float jnf(int, float);
float scalbf(float, float);
float y0f(float);
float y1f(float);
float ynf(int, float);
/*
* 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 *);
float lgammaf_r(float, int *);
/*
* float version of IEEE Test Vector
*/
float significandf(float);
#endif /* __BSD_VISIBLE */
/*
* long double versions of ISO/POSIX math functions
*/
#if __ISO_C_VISIBLE >= 1999
long double acosl(long double);
long double asinl(long double);
long double atan2l(long double, long double);
long double atanl(long double);
long double cbrtl(long double);
long double ceill(long double);
long double copysignl(long double, long double) __pure2;
long double cosl(long double);
long double exp2l(long double);
long double expl(long double);
long double fabsl(long double) __pure2;
long double fdiml(long double, long double);
long double floorl(long double);
long double fmal(long double, long double, long double);
long double fmaxl(long double, long double) __pure2;
long double fminl(long double, long double) __pure2;
long double fmodl(long double, long double);
long double frexpl(long double value, int *); /* fundamentally !__pure2 */
long double hypotl(long double, long double);
int ilogbl(long double) __pure2;
long double ldexpl(long double, int);
long long llrintl(long double);
long long llroundl(long double);
long double logbl(long double);
long lrintl(long double);
long lroundl(long double);
long double modfl(long double, long double *); /* fundamentally !__pure2 */
long double nanl(const char *) __pure2;
long double nearbyintl(long double);
long double nextafterl(long double, long double);
double nexttoward(double, long double);
float nexttowardf(float, long double);
long double nexttowardl(long double, long double);
long double remainderl(long double, long double);
long double remquol(long double, long double, int *);
long double rintl(long double);
long double roundl(long double);
long double scalblnl(long double, long);
long double scalbnl(long double, int);
long double sinl(long double);
long double sqrtl(long double);
long double tanl(long double);
long double truncl(long double);
#endif /* __ISO_C_VISIBLE >= 1999 */
__END_DECLS
#endif /* !_MATH_H_ */
/* separate header for cmath */
#ifndef _MATH_EXTRA_H_
#if __ISO_C_VISIBLE >= 1999
#if _DECLARE_C99_LDBL_MATH
#define _MATH_EXTRA_H_
/*
* extra long double versions of math functions for C99 and cmath
*/
__BEGIN_DECLS
long double acoshl(long double);
long double asinhl(long double);
long double atanhl(long double);
long double coshl(long double);
long double erfcl(long double);
long double erfl(long double);
long double expm1l(long double);
long double lgammal(long double);
long double log10l(long double);
long double log1pl(long double);
long double log2l(long double);
long double logl(long double);
long double powl(long double, long double);
long double sinhl(long double);
long double tanhl(long double);
long double tgammal(long double);
__END_DECLS
#endif /* !_DECLARE_C99_LDBL_MATH */
#endif /* __ISO_C_VISIBLE >= 1999 */
#endif /* !_MATH_EXTRA_H_ */
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