/*
|
/*
|
* ====================================================
|
* ====================================================
|
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
|
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
|
*
|
*
|
* Developed at SunPro, a Sun Microsystems, Inc. business.
|
* Developed at SunPro, a Sun Microsystems, Inc. business.
|
* Permission to use, copy, modify, and distribute this
|
* Permission to use, copy, modify, and distribute this
|
* software is freely granted, provided that this notice
|
* software is freely granted, provided that this notice
|
* is preserved.
|
* is preserved.
|
* ====================================================
|
* ====================================================
|
*/
|
*/
|
|
|
/*
|
/*
|
* from: @(#)fdlibm.h 5.1 93/09/24
|
* from: @(#)fdlibm.h 5.1 93/09/24
|
* $Id: math_private.h 207 2010-07-19 17:43:24Z jeremybennett $
|
* $Id: math_private.h 207 2010-07-19 17:43:24Z jeremybennett $
|
*/
|
*/
|
|
|
#ifndef _MATH_PRIVATE_H_
|
#ifndef _MATH_PRIVATE_H_
|
#define _MATH_PRIVATE_H_
|
#define _MATH_PRIVATE_H_
|
|
|
#include <endian.h>
|
#include <endian.h>
|
#include <sys/types.h>
|
#include <sys/types.h>
|
#include <machine/weakalias.h>
|
#include <machine/weakalias.h>
|
#include <machine/huge_val.h>
|
#include <machine/huge_val.h>
|
|
|
#define INFINITY HUGE_VALF
|
#define INFINITY HUGE_VALF
|
|
|
#define __nan nan
|
#define __nan nan
|
#define __isnan isnan
|
#define __isnan isnan
|
#define __isinf isinf
|
#define __isinf isinf
|
#define __copysignf copysignf
|
#define __copysignf copysignf
|
#define __copysign copysign
|
#define __copysign copysign
|
#define __isnanf isnanf
|
#define __isnanf isnanf
|
#define __isinff isinff
|
#define __isinff isinff
|
#define __nanf nanf
|
#define __nanf nanf
|
#define feraiseexcept(x) /* nothing */
|
#define feraiseexcept(x) /* nothing */
|
#define __sincos sincos
|
#define __sincos sincos
|
#define __sincosf sincosf
|
#define __sincosf sincosf
|
|
|
int __signbitd (double x);
|
int __signbitd (double x);
|
int __signbitf (float x);
|
int __signbitf (float x);
|
|
|
/* The original fdlibm code used statements like:
|
/* The original fdlibm code used statements like:
|
n0 = ((*(int*)&one)>>29)^1; * index of high word *
|
n0 = ((*(int*)&one)>>29)^1; * index of high word *
|
ix0 = *(n0+(int*)&x); * high word of x *
|
ix0 = *(n0+(int*)&x); * high word of x *
|
ix1 = *((1-n0)+(int*)&x); * low word of x *
|
ix1 = *((1-n0)+(int*)&x); * low word of x *
|
to dig two 32 bit words out of the 64 bit IEEE floating point
|
to dig two 32 bit words out of the 64 bit IEEE floating point
|
value. That is non-ANSI, and, moreover, the gcc instruction
|
value. That is non-ANSI, and, moreover, the gcc instruction
|
scheduler gets it wrong. We instead use the following macros.
|
scheduler gets it wrong. We instead use the following macros.
|
Unlike the original code, we determine the endianness at compile
|
Unlike the original code, we determine the endianness at compile
|
time, not at run time; I don't see much benefit to selecting
|
time, not at run time; I don't see much benefit to selecting
|
endianness at run time. */
|
endianness at run time. */
|
|
|
/* A union which permits us to convert between a double and two 32 bit
|
/* A union which permits us to convert between a double and two 32 bit
|
ints. */
|
ints. */
|
|
|
#if __FLOAT_WORD_ORDER == BIG_ENDIAN
|
#if __FLOAT_WORD_ORDER == BIG_ENDIAN
|
|
|
typedef union
|
typedef union
|
{
|
{
|
double value;
|
double value;
|
struct
|
struct
|
{
|
{
|
u_int32_t msw;
|
u_int32_t msw;
|
u_int32_t lsw;
|
u_int32_t lsw;
|
} parts;
|
} parts;
|
} ieee_double_shape_type;
|
} ieee_double_shape_type;
|
|
|
#endif
|
#endif
|
|
|
#if __FLOAT_WORD_ORDER == LITTLE_ENDIAN
|
#if __FLOAT_WORD_ORDER == LITTLE_ENDIAN
|
|
|
typedef union
|
typedef union
|
{
|
{
|
double value;
|
double value;
|
struct
|
struct
|
{
|
{
|
u_int32_t lsw;
|
u_int32_t lsw;
|
u_int32_t msw;
|
u_int32_t msw;
|
} parts;
|
} parts;
|
} ieee_double_shape_type;
|
} ieee_double_shape_type;
|
|
|
#endif
|
#endif
|
|
|
/* Get two 32 bit ints from a double. */
|
/* Get two 32 bit ints from a double. */
|
|
|
#define EXTRACT_WORDS(ix0,ix1,d) \
|
#define EXTRACT_WORDS(ix0,ix1,d) \
|
do { \
|
do { \
|
ieee_double_shape_type ew_u; \
|
ieee_double_shape_type ew_u; \
|
ew_u.value = (d); \
|
ew_u.value = (d); \
|
(ix0) = ew_u.parts.msw; \
|
(ix0) = ew_u.parts.msw; \
|
(ix1) = ew_u.parts.lsw; \
|
(ix1) = ew_u.parts.lsw; \
|
} while (0)
|
} while (0)
|
|
|
/* Get the more significant 32 bit int from a double. */
|
/* Get the more significant 32 bit int from a double. */
|
|
|
#define GET_HIGH_WORD(i,d) \
|
#define GET_HIGH_WORD(i,d) \
|
do { \
|
do { \
|
ieee_double_shape_type gh_u; \
|
ieee_double_shape_type gh_u; \
|
gh_u.value = (d); \
|
gh_u.value = (d); \
|
(i) = gh_u.parts.msw; \
|
(i) = gh_u.parts.msw; \
|
} while (0)
|
} while (0)
|
|
|
/* Get the less significant 32 bit int from a double. */
|
/* Get the less significant 32 bit int from a double. */
|
|
|
#define GET_LOW_WORD(i,d) \
|
#define GET_LOW_WORD(i,d) \
|
do { \
|
do { \
|
ieee_double_shape_type gl_u; \
|
ieee_double_shape_type gl_u; \
|
gl_u.value = (d); \
|
gl_u.value = (d); \
|
(i) = gl_u.parts.lsw; \
|
(i) = gl_u.parts.lsw; \
|
} while (0)
|
} while (0)
|
|
|
/* Set a double from two 32 bit ints. */
|
/* Set a double from two 32 bit ints. */
|
|
|
#define INSERT_WORDS(d,ix0,ix1) \
|
#define INSERT_WORDS(d,ix0,ix1) \
|
do { \
|
do { \
|
ieee_double_shape_type iw_u; \
|
ieee_double_shape_type iw_u; \
|
iw_u.parts.msw = (ix0); \
|
iw_u.parts.msw = (ix0); \
|
iw_u.parts.lsw = (ix1); \
|
iw_u.parts.lsw = (ix1); \
|
(d) = iw_u.value; \
|
(d) = iw_u.value; \
|
} while (0)
|
} while (0)
|
|
|
/* Set the more significant 32 bits of a double from an int. */
|
/* Set the more significant 32 bits of a double from an int. */
|
|
|
#define SET_HIGH_WORD(d,v) \
|
#define SET_HIGH_WORD(d,v) \
|
do { \
|
do { \
|
ieee_double_shape_type sh_u; \
|
ieee_double_shape_type sh_u; \
|
sh_u.value = (d); \
|
sh_u.value = (d); \
|
sh_u.parts.msw = (v); \
|
sh_u.parts.msw = (v); \
|
(d) = sh_u.value; \
|
(d) = sh_u.value; \
|
} while (0)
|
} while (0)
|
|
|
/* Set the less significant 32 bits of a double from an int. */
|
/* Set the less significant 32 bits of a double from an int. */
|
|
|
#define SET_LOW_WORD(d,v) \
|
#define SET_LOW_WORD(d,v) \
|
do { \
|
do { \
|
ieee_double_shape_type sl_u; \
|
ieee_double_shape_type sl_u; \
|
sl_u.value = (d); \
|
sl_u.value = (d); \
|
sl_u.parts.lsw = (v); \
|
sl_u.parts.lsw = (v); \
|
(d) = sl_u.value; \
|
(d) = sl_u.value; \
|
} while (0)
|
} while (0)
|
|
|
/* A union which permits us to convert between a float and a 32 bit
|
/* A union which permits us to convert between a float and a 32 bit
|
int. */
|
int. */
|
|
|
typedef union
|
typedef union
|
{
|
{
|
float value;
|
float value;
|
u_int32_t word;
|
u_int32_t word;
|
} ieee_float_shape_type;
|
} ieee_float_shape_type;
|
|
|
/* Get a 32 bit int from a float. */
|
/* Get a 32 bit int from a float. */
|
|
|
#define GET_FLOAT_WORD(i,d) \
|
#define GET_FLOAT_WORD(i,d) \
|
do { \
|
do { \
|
ieee_float_shape_type gf_u; \
|
ieee_float_shape_type gf_u; \
|
gf_u.value = (d); \
|
gf_u.value = (d); \
|
(i) = gf_u.word; \
|
(i) = gf_u.word; \
|
} while (0)
|
} while (0)
|
|
|
/* Set a float from a 32 bit int. */
|
/* Set a float from a 32 bit int. */
|
|
|
#define SET_FLOAT_WORD(d,i) \
|
#define SET_FLOAT_WORD(d,i) \
|
do { \
|
do { \
|
ieee_float_shape_type sf_u; \
|
ieee_float_shape_type sf_u; \
|
sf_u.word = (i); \
|
sf_u.word = (i); \
|
(d) = sf_u.value; \
|
(d) = sf_u.value; \
|
} while (0)
|
} while (0)
|
|
|
#if 0
|
#if 0
|
/* ieee style elementary functions */
|
/* ieee style elementary functions */
|
extern double __ieee754_sqrt (double);
|
extern double __ieee754_sqrt (double);
|
extern double __ieee754_acos (double);
|
extern double __ieee754_acos (double);
|
extern double __ieee754_acosh (double);
|
extern double __ieee754_acosh (double);
|
extern double __ieee754_log (double);
|
extern double __ieee754_log (double);
|
extern double __ieee754_atanh (double);
|
extern double __ieee754_atanh (double);
|
extern double __ieee754_asin (double);
|
extern double __ieee754_asin (double);
|
extern double __ieee754_atan2 (double,double);
|
extern double __ieee754_atan2 (double,double);
|
extern double __ieee754_exp (double);
|
extern double __ieee754_exp (double);
|
extern double __ieee754_exp2 (double);
|
extern double __ieee754_exp2 (double);
|
extern double __ieee754_exp10 (double);
|
extern double __ieee754_exp10 (double);
|
extern double __ieee754_cosh (double);
|
extern double __ieee754_cosh (double);
|
extern double __ieee754_fmod (double,double);
|
extern double __ieee754_fmod (double,double);
|
extern double __ieee754_pow (double,double);
|
extern double __ieee754_pow (double,double);
|
extern double __ieee754_lgamma_r (double,int *);
|
extern double __ieee754_lgamma_r (double,int *);
|
extern double __ieee754_gamma_r (double,int *);
|
extern double __ieee754_gamma_r (double,int *);
|
extern double __ieee754_lgamma (double);
|
extern double __ieee754_lgamma (double);
|
extern double __ieee754_gamma (double);
|
extern double __ieee754_gamma (double);
|
extern double __ieee754_log10 (double);
|
extern double __ieee754_log10 (double);
|
extern double __ieee754_log2 (double);
|
extern double __ieee754_log2 (double);
|
extern double __ieee754_sinh (double);
|
extern double __ieee754_sinh (double);
|
extern double __ieee754_hypot (double,double);
|
extern double __ieee754_hypot (double,double);
|
extern double __ieee754_j0 (double);
|
extern double __ieee754_j0 (double);
|
extern double __ieee754_j1 (double);
|
extern double __ieee754_j1 (double);
|
extern double __ieee754_y0 (double);
|
extern double __ieee754_y0 (double);
|
extern double __ieee754_y1 (double);
|
extern double __ieee754_y1 (double);
|
extern double __ieee754_jn (int,double);
|
extern double __ieee754_jn (int,double);
|
extern double __ieee754_yn (int,double);
|
extern double __ieee754_yn (int,double);
|
extern double __ieee754_remainder (double,double);
|
extern double __ieee754_remainder (double,double);
|
extern int32_t __ieee754_rem_pio2 (double,double*);
|
extern int32_t __ieee754_rem_pio2 (double,double*);
|
extern double __ieee754_scalb (double,double);
|
extern double __ieee754_scalb (double,double);
|
#endif
|
#endif
|
|
|
/* This is necessary because the hardware accelerated version of libm
|
/* This is necessary because the hardware accelerated version of libm
|
does not provide the __ieee754 functions. */
|
does not provide the __ieee754 functions. */
|
#define __ieee754_sinh sinh
|
#define __ieee754_sinh sinh
|
#define __ieee754_hypot hypot
|
#define __ieee754_hypot hypot
|
#define __ieee754_hypotf hypotf
|
#define __ieee754_hypotf hypotf
|
#define __ieee754_logf logf
|
#define __ieee754_logf logf
|
#define __ieee754_log10 log10
|
#define __ieee754_log10 log10
|
#define __ieee754_exp exp
|
#define __ieee754_exp exp
|
#define __ieee754_cosh cosh
|
#define __ieee754_cosh cosh
|
#define __ieee754_expf expf
|
#define __ieee754_expf expf
|
#define __ieee754_log10f log10f
|
#define __ieee754_log10f log10f
|
#define __ieee754_atan2 atan2
|
#define __ieee754_atan2 atan2
|
#define __ieee754_sqrtf sqrtf
|
#define __ieee754_sqrtf sqrtf
|
#define __ieee754_sinhf sinhf
|
#define __ieee754_sinhf sinhf
|
#define __ieee754_log log
|
#define __ieee754_log log
|
#define __ieee754_sqrt sqrt
|
#define __ieee754_sqrt sqrt
|
#define __ieee754_coshf coshf
|
#define __ieee754_coshf coshf
|
#define __ieee754_atan2f atan2f
|
#define __ieee754_atan2f atan2f
|
|
|
/* fdlibm kernel function */
|
/* fdlibm kernel function */
|
extern double __kernel_standard (double,double,int);
|
extern double __kernel_standard (double,double,int);
|
extern double __kernel_sin (double,double,int);
|
extern double __kernel_sin (double,double,int);
|
extern double __kernel_cos (double,double);
|
extern double __kernel_cos (double,double);
|
extern double __kernel_tan (double,double,int);
|
extern double __kernel_tan (double,double,int);
|
extern int __kernel_rem_pio2 (double*,double*,int,int,int, const int32_t*);
|
extern int __kernel_rem_pio2 (double*,double*,int,int,int, const int32_t*);
|
|
|
/* internal functions. */
|
/* internal functions. */
|
extern double __copysign (double x, double __y);
|
extern double __copysign (double x, double __y);
|
|
|
|
|
/* ieee style elementary float functions */
|
/* ieee style elementary float functions */
|
extern float __ieee754_sqrtf (float);
|
extern float __ieee754_sqrtf (float);
|
extern float __ieee754_acosf (float);
|
extern float __ieee754_acosf (float);
|
extern float __ieee754_acoshf (float);
|
extern float __ieee754_acoshf (float);
|
extern float __ieee754_logf (float);
|
extern float __ieee754_logf (float);
|
extern float __ieee754_atanhf (float);
|
extern float __ieee754_atanhf (float);
|
extern float __ieee754_asinf (float);
|
extern float __ieee754_asinf (float);
|
extern float __ieee754_atan2f (float,float);
|
extern float __ieee754_atan2f (float,float);
|
extern float __ieee754_expf (float);
|
extern float __ieee754_expf (float);
|
extern float __ieee754_exp2f (float);
|
extern float __ieee754_exp2f (float);
|
extern float __ieee754_exp10f (float);
|
extern float __ieee754_exp10f (float);
|
extern float __ieee754_coshf (float);
|
extern float __ieee754_coshf (float);
|
extern float __ieee754_fmodf (float,float);
|
extern float __ieee754_fmodf (float,float);
|
extern float __ieee754_powf (float,float);
|
extern float __ieee754_powf (float,float);
|
extern float __ieee754_lgammaf_r (float,int *);
|
extern float __ieee754_lgammaf_r (float,int *);
|
extern float __ieee754_gammaf_r (float,int *);
|
extern float __ieee754_gammaf_r (float,int *);
|
extern float __ieee754_lgammaf (float);
|
extern float __ieee754_lgammaf (float);
|
extern float __ieee754_gammaf (float);
|
extern float __ieee754_gammaf (float);
|
extern float __ieee754_log10f (float);
|
extern float __ieee754_log10f (float);
|
extern float __ieee754_log2f (float);
|
extern float __ieee754_log2f (float);
|
extern float __ieee754_sinhf (float);
|
extern float __ieee754_sinhf (float);
|
extern float __ieee754_hypotf (float,float);
|
extern float __ieee754_hypotf (float,float);
|
extern float __ieee754_j0f (float);
|
extern float __ieee754_j0f (float);
|
extern float __ieee754_j1f (float);
|
extern float __ieee754_j1f (float);
|
extern float __ieee754_y0f (float);
|
extern float __ieee754_y0f (float);
|
extern float __ieee754_y1f (float);
|
extern float __ieee754_y1f (float);
|
extern float __ieee754_jnf (int,float);
|
extern float __ieee754_jnf (int,float);
|
extern float __ieee754_ynf (int,float);
|
extern float __ieee754_ynf (int,float);
|
extern float __ieee754_remainderf (float,float);
|
extern float __ieee754_remainderf (float,float);
|
extern int32_t __ieee754_rem_pio2f (float,float*);
|
extern int32_t __ieee754_rem_pio2f (float,float*);
|
extern float __ieee754_scalbf (float,float);
|
extern float __ieee754_scalbf (float,float);
|
|
|
|
|
/* float versions of fdlibm kernel functions */
|
/* float versions of fdlibm kernel functions */
|
extern float __kernel_sinf (float,float,int);
|
extern float __kernel_sinf (float,float,int);
|
extern float __kernel_cosf (float,float);
|
extern float __kernel_cosf (float,float);
|
extern float __kernel_tanf (float,float,int);
|
extern float __kernel_tanf (float,float,int);
|
extern int __kernel_rem_pio2f (float*,float*,int,int,int, const int32_t*);
|
extern int __kernel_rem_pio2f (float*,float*,int,int,int, const int32_t*);
|
|
|
|
|
/* ieee style elementary long double functions */
|
/* ieee style elementary long double functions */
|
extern long double __ieee754_sqrtl (long double);
|
extern long double __ieee754_sqrtl (long double);
|
extern long double __ieee754_acosl (long double);
|
extern long double __ieee754_acosl (long double);
|
extern long double __ieee754_acoshl (long double);
|
extern long double __ieee754_acoshl (long double);
|
extern long double __ieee754_logl (long double);
|
extern long double __ieee754_logl (long double);
|
extern long double __ieee754_atanhl (long double);
|
extern long double __ieee754_atanhl (long double);
|
extern long double __ieee754_asinl (long double);
|
extern long double __ieee754_asinl (long double);
|
extern long double __ieee754_atan2l (long double,long double);
|
extern long double __ieee754_atan2l (long double,long double);
|
extern long double __ieee754_expl (long double);
|
extern long double __ieee754_expl (long double);
|
extern long double __ieee754_exp2l (long double);
|
extern long double __ieee754_exp2l (long double);
|
extern long double __ieee754_exp10l (long double);
|
extern long double __ieee754_exp10l (long double);
|
extern long double __ieee754_coshl (long double);
|
extern long double __ieee754_coshl (long double);
|
extern long double __ieee754_fmodl (long double,long double);
|
extern long double __ieee754_fmodl (long double,long double);
|
extern long double __ieee754_powl (long double,long double);
|
extern long double __ieee754_powl (long double,long double);
|
extern long double __ieee754_lgammal_r (long double,int *);
|
extern long double __ieee754_lgammal_r (long double,int *);
|
extern long double __ieee754_gammal_r (long double,int *);
|
extern long double __ieee754_gammal_r (long double,int *);
|
extern long double __ieee754_lgammal (long double);
|
extern long double __ieee754_lgammal (long double);
|
extern long double __ieee754_gammal (long double);
|
extern long double __ieee754_gammal (long double);
|
extern long double __ieee754_log10l (long double);
|
extern long double __ieee754_log10l (long double);
|
extern long double __ieee754_log2l (long double);
|
extern long double __ieee754_log2l (long double);
|
extern long double __ieee754_sinhl (long double);
|
extern long double __ieee754_sinhl (long double);
|
extern long double __ieee754_hypotl (long double,long double);
|
extern long double __ieee754_hypotl (long double,long double);
|
extern long double __ieee754_j0l (long double);
|
extern long double __ieee754_j0l (long double);
|
extern long double __ieee754_j1l (long double);
|
extern long double __ieee754_j1l (long double);
|
extern long double __ieee754_y0l (long double);
|
extern long double __ieee754_y0l (long double);
|
extern long double __ieee754_y1l (long double);
|
extern long double __ieee754_y1l (long double);
|
extern long double __ieee754_jnl (int,long double);
|
extern long double __ieee754_jnl (int,long double);
|
extern long double __ieee754_ynl (int,long double);
|
extern long double __ieee754_ynl (int,long double);
|
extern long double __ieee754_remainderl (long double,long double);
|
extern long double __ieee754_remainderl (long double,long double);
|
extern int __ieee754_rem_pio2l (long double,long double*);
|
extern int __ieee754_rem_pio2l (long double,long double*);
|
extern long double __ieee754_scalbl (long double,long double);
|
extern long double __ieee754_scalbl (long double,long double);
|
|
|
/* long double versions of fdlibm kernel functions */
|
/* long double versions of fdlibm kernel functions */
|
extern long double __kernel_sinl (long double,long double,int);
|
extern long double __kernel_sinl (long double,long double,int);
|
extern long double __kernel_cosl (long double,long double);
|
extern long double __kernel_cosl (long double,long double);
|
extern long double __kernel_tanl (long double,long double,int);
|
extern long double __kernel_tanl (long double,long double,int);
|
extern void __kernel_sincosl (long double,long double,
|
extern void __kernel_sincosl (long double,long double,
|
long double *,long double *, int);
|
long double *,long double *, int);
|
extern int __kernel_rem_pio2l (long double*,long double*,int,int,
|
extern int __kernel_rem_pio2l (long double*,long double*,int,int,
|
int,const int*);
|
int,const int*);
|
|
|
#ifndef NO_LONG_DOUBLE
|
#ifndef NO_LONG_DOUBLE
|
/* prototypes required to compile the ldbl-96 support without warnings */
|
/* prototypes required to compile the ldbl-96 support without warnings */
|
extern int __finitel (long double);
|
extern int __finitel (long double);
|
extern int __ilogbl (long double);
|
extern int __ilogbl (long double);
|
extern int __isinfl (long double);
|
extern int __isinfl (long double);
|
extern int __isnanl (long double);
|
extern int __isnanl (long double);
|
extern long double __atanl (long double);
|
extern long double __atanl (long double);
|
extern long double __copysignl (long double, long double);
|
extern long double __copysignl (long double, long double);
|
extern long double __expm1l (long double);
|
extern long double __expm1l (long double);
|
extern long double __floorl (long double);
|
extern long double __floorl (long double);
|
extern long double __frexpl (long double, int *);
|
extern long double __frexpl (long double, int *);
|
extern long double __ldexpl (long double, int);
|
extern long double __ldexpl (long double, int);
|
extern long double __log1pl (long double);
|
extern long double __log1pl (long double);
|
extern long double __nanl (const char *);
|
extern long double __nanl (const char *);
|
extern long double __rintl (long double);
|
extern long double __rintl (long double);
|
extern long double __scalbnl (long double, int);
|
extern long double __scalbnl (long double, int);
|
extern long double __sqrtl (long double x);
|
extern long double __sqrtl (long double x);
|
extern long double fabsl (long double x);
|
extern long double fabsl (long double x);
|
extern void __sincosl (long double, long double *, long double *);
|
extern void __sincosl (long double, long double *, long double *);
|
extern long double __logbl (long double x);
|
extern long double __logbl (long double x);
|
extern long double __significandl (long double x);
|
extern long double __significandl (long double x);
|
#endif
|
#endif
|
|
|
/* Prototypes for functions of the IBM Accurate Mathematical Library. */
|
/* Prototypes for functions of the IBM Accurate Mathematical Library. */
|
extern double __exp1 (double __x, double __xx, double __error);
|
extern double __exp1 (double __x, double __xx, double __error);
|
extern double __sin (double __x);
|
extern double __sin (double __x);
|
extern double __cos (double __x);
|
extern double __cos (double __x);
|
extern int __branred (double __x, double *__a, double *__aa);
|
extern int __branred (double __x, double *__a, double *__aa);
|
extern void __doasin (double __x, double __dx, double __v[]);
|
extern void __doasin (double __x, double __dx, double __v[]);
|
extern void __dubsin (double __x, double __dx, double __v[]);
|
extern void __dubsin (double __x, double __dx, double __v[]);
|
extern void __dubcos (double __x, double __dx, double __v[]);
|
extern void __dubcos (double __x, double __dx, double __v[]);
|
extern double __halfulp (double __x, double __y);
|
extern double __halfulp (double __x, double __y);
|
extern double __sin32 (double __x, double __res, double __res1);
|
extern double __sin32 (double __x, double __res, double __res1);
|
extern double __cos32 (double __x, double __res, double __res1);
|
extern double __cos32 (double __x, double __res, double __res1);
|
extern double __mpsin (double __x, double __dx);
|
extern double __mpsin (double __x, double __dx);
|
extern double __mpcos (double __x, double __dx);
|
extern double __mpcos (double __x, double __dx);
|
extern double __mpsin1 (double __x);
|
extern double __mpsin1 (double __x);
|
extern double __mpcos1 (double __x);
|
extern double __mpcos1 (double __x);
|
extern double __slowexp (double __x);
|
extern double __slowexp (double __x);
|
extern double __slowpow (double __x, double __y, double __z);
|
extern double __slowpow (double __x, double __y, double __z);
|
extern void __docos (double __x, double __dx, double __v[]);
|
extern void __docos (double __x, double __dx, double __v[]);
|
|
|
#endif /* _MATH_PRIVATE_H_ */
|
#endif /* _MATH_PRIVATE_H_ */
|
|
|
