/* * ==================================================== * 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. * ==================================================== */ #ifndef _MATH_H_#define _MATH_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; #define HUGE_VAL __builtin_huge_val() #define FP_ILOGB0 (-INT_MAX)#define FP_ILOGBNAN INT_MAX #define HUGE_VALF __builtin_huge_valf()#define HUGE_VALL __builtin_huge_vall()#define INFINITY __builtin_inf()#define NAN __builtin_nan("") #define MATH_ERRNO 1#define MATH_ERREXCEPT 2#define math_errhandling MATH_ERREXCEPT #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)) #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)) #define signbit(x) \ ((sizeof (x) == sizeof (float)) ? __signbitf(x) \ : (sizeof (x) == sizeof (double)) ? __signbit(x) \ : __signbitl(x)) /* FLT_EVAL_METHOD = 0 (float.h) */typedef double double_t;typedef float float_t; /* * XOPEN/SVID */#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; #if __BSD_VISIBLEenum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix}; #define _LIB_VERSION_TYPE enum fdversion#define _LIB_VERSION _fdlib_version /* if global variable _LIB_VERSION is not desirable, one may * change the following to be a constant by: * #define _LIB_VERSION_TYPE const enum version * In that case, after one initializes the value _LIB_VERSION (see * s_lib_version.c) during compile time, it cannot be modified * in the middle of a program */extern _LIB_VERSION_TYPE _LIB_VERSION; #define _IEEE_ fdlibm_ieee#define _SVID_ fdlibm_svid#define _XOPEN_ fdlibm_xopen#define _POSIX_ fdlibm_posix /* We have a problem when using C++ since `exception' is a reserved name in C++. */#ifndef __cplusplusstruct exception { int type; char *name; double arg1; double arg2; double retval;};#endif #if 0/* Old value from 4.4BSD-Lite math.h; this is probably better. */#define HUGE HUGE_VAL#else#define HUGE MAXFLOAT#endif #define X_TLOSS 1.41484755040568800000e+16 /* pi*2**52 */ #define DOMAIN 1#define SING 2#define OVERFLOW 3#define UNDERFLOW 4#define TLOSS 5#define PLOSS 6 #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. */#define __pure2 __attribute__((__const__)) /* * 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 __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. */double acosh(double);double asinh(double);double atanh(double);double cbrt(double);double erf(double);double erfc(double);double expm1(double);double hypot(double, double);/* Our ilogb raises no exceptions; we side with IEEE-754R and C99, not POSIX */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 logb(double);long lrint(double);long lround(double);double nextafter(double, double);double remainder(double, double);double rint(double); double j0(double);double j1(double);double jn(int, double);double scalb(double, double);double y0(double);double y1(double);double yn(int, double); 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); /* * BSD math library entry points */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); /* float versions of ANSI/POSIX functions */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 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 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 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 nearbyintf(float);float nextafterf(float, float);float remainderf(float, float);float rintf(float);float scalblnf(float, long);float scalbnf(float, int);float truncf(float); float fdimf(float, float);float fmaxf(float, float) __pure2;float fminf(float, float) __pure2; /* * float versions of BSD math library entry points */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 /* !_MATH_H_ */
/*
* ====================================================
* 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.
* ====================================================
*/
#ifndef _MATH_H_
#define _MATH_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;
#define HUGE_VAL __builtin_huge_val()
#define FP_ILOGB0 (-INT_MAX)
#define FP_ILOGBNAN INT_MAX
#define HUGE_VALF __builtin_huge_valf()
#define HUGE_VALL __builtin_huge_vall()
#define INFINITY __builtin_inf()
#define NAN __builtin_nan("")
#define MATH_ERRNO 1
#define MATH_ERREXCEPT 2
#define math_errhandling MATH_ERREXCEPT
#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))
#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))
#define signbit(x) \
((sizeof (x) == sizeof (float)) ? __signbitf(x) \
: (sizeof (x) == sizeof (double)) ? __signbit(x) \
: __signbitl(x))
/* FLT_EVAL_METHOD = 0 (float.h) */
typedef double double_t;
typedef float float_t;
/*
* XOPEN/SVID
*/
#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;
#if __BSD_VISIBLE
enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
#define _LIB_VERSION_TYPE enum fdversion
#define _LIB_VERSION _fdlib_version
/* if global variable _LIB_VERSION is not desirable, one may
* change the following to be a constant by:
* #define _LIB_VERSION_TYPE const enum version
* In that case, after one initializes the value _LIB_VERSION (see
* s_lib_version.c) during compile time, it cannot be modified
* in the middle of a program
*/
extern _LIB_VERSION_TYPE _LIB_VERSION;
#define _IEEE_ fdlibm_ieee
#define _SVID_ fdlibm_svid
#define _XOPEN_ fdlibm_xopen
#define _POSIX_ fdlibm_posix
/* We have a problem when using C++ since `exception' is a reserved
name in C++. */
#ifndef __cplusplus
struct exception {
int type;
char *name;
double arg1;
double arg2;
double retval;
};
#endif
#if 0
/* Old value from 4.4BSD-Lite math.h; this is probably better. */
#define HUGE HUGE_VAL
#else
#define HUGE MAXFLOAT
#endif
#define X_TLOSS 1.41484755040568800000e+16 /* pi*2**52 */
#define DOMAIN 1
#define SING 2
#define OVERFLOW 3
#define UNDERFLOW 4
#define TLOSS 5
#define PLOSS 6
#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.
*/
#define __pure2 __attribute__((__const__))
/*
* 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 __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.
*/
double acosh(double);
double asinh(double);
double atanh(double);
double cbrt(double);
double erf(double);
double erfc(double);
double expm1(double);
double hypot(double, double);
/* Our ilogb raises no exceptions; we side with IEEE-754R and C99, not POSIX */
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 logb(double);
long lrint(double);
long lround(double);
double nextafter(double, double);
double remainder(double, double);
double rint(double);
double j0(double);
double j1(double);
double jn(int, double);
double scalb(double, double);
double y0(double);
double y1(double);
double yn(int, double);
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);
/*
* BSD math library entry points
*/
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);
/* float versions of ANSI/POSIX functions */
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 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 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 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 nearbyintf(float);
float nextafterf(float, float);
float remainderf(float, float);
float rintf(float);
float scalblnf(float, long);
float scalbnf(float, int);
float truncf(float);
float fdimf(float, float);
float fmaxf(float, float) __pure2;
float fminf(float, float) __pure2;
/*
* float versions of BSD math library entry points
*/
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 /* !_MATH_H_ */