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glibc/math/math_private.h

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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
* $Id$
*/
#ifndef _MATH_PRIVATE_H_
#define _MATH_PRIVATE_H_
#include <machine/endian.h>
#include <sys/types.h>
/* The original fdlibm code used statements like:
n0 = ((*(int*)&one)>>29)^1; * index of high word *
ix0 = *(n0+(int*)&x); * high 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
value. That is non-ANSI, and, moreover, the gcc instruction
scheduler gets it wrong. We instead use the following macros.
Unlike the original code, we determine the endianness at compile
time, not at run time; I don't see much benefit to selecting
endianness at run time. */
/* A union which permits us to convert between a double and two 32 bit
ints. */
#if BYTE_ORDER == BIG_ENDIAN
typedef union
{
double value;
struct
{
u_int32_t msw;
u_int32_t lsw;
} parts;
} ieee_double_shape_type;
#endif
#if BYTE_ORDER == LITTLE_ENDIAN
typedef union
{
double value;
struct
{
u_int32_t lsw;
u_int32_t msw;
} parts;
} ieee_double_shape_type;
#endif
/* Get two 32 bit ints from a double. */
#define EXTRACT_WORDS(ix0,ix1,d) \
do { \
ieee_double_shape_type ew_u; \
ew_u.value = (d); \
(ix0) = ew_u.parts.msw; \
(ix1) = ew_u.parts.lsw; \
} while (0)
/* Get the more significant 32 bit int from a double. */
#define GET_HIGH_WORD(i,d) \
do { \
ieee_double_shape_type gh_u; \
gh_u.value = (d); \
(i) = gh_u.parts.msw; \
} while (0)
/* Get the less significant 32 bit int from a double. */
#define GET_LOW_WORD(i,d) \
do { \
ieee_double_shape_type gl_u; \
gl_u.value = (d); \
(i) = gl_u.parts.lsw; \
} while (0)
/* Set a double from two 32 bit ints. */
#define INSERT_WORDS(d,ix0,ix1) \
do { \
ieee_double_shape_type iw_u; \
iw_u.parts.msw = (ix0); \
iw_u.parts.lsw = (ix1); \
(d) = iw_u.value; \
} while (0)
/* Set the more significant 32 bits of a double from an int. */
#define SET_HIGH_WORD(d,v) \
do { \
ieee_double_shape_type sh_u; \
sh_u.value = (d); \
sh_u.parts.msw = (v); \
(d) = sh_u.value; \
} while (0)
/* Set the less significant 32 bits of a double from an int. */
#define SET_LOW_WORD(d,v) \
do { \
ieee_double_shape_type sl_u; \
sl_u.value = (d); \
sl_u.parts.lsw = (v); \
(d) = sl_u.value; \
} while (0)
/* A union which permits us to convert between a float and a 32 bit
int. */
typedef union
{
float value;
u_int32_t word;
} ieee_float_shape_type;
/* Get a 32 bit int from a float. */
#define GET_FLOAT_WORD(i,d) \
do { \
ieee_float_shape_type gf_u; \
gf_u.value = (d); \
(i) = gf_u.word; \
} while (0)
/* Set a float from a 32 bit int. */
#define SET_FLOAT_WORD(d,i) \
do { \
ieee_float_shape_type sf_u; \
sf_u.word = (i); \
(d) = sf_u.value; \
} while (0)
/* A union which permits us to convert between a long double and
three 32 bit ints. */
#if BYTE_ORDER == BIG_ENDIAN
typedef union
{
long double value;
struct
{
unsigned int sign_exponent:16;
unsigned int empty:16;
u_int32_t msw;
u_int32_t lsw;
} parts;
} ieee_long_double_shape_type;
#endif
#if BYTE_ORDER == LITTLE_ENDIAN
typedef union
{
long double value;
struct
{
u_int32_t lsw;
u_int32_t msw;
unsigned int sign_exponent:16;
unsigned int empty:16;
} parts;
} ieee_long_double_shape_type;
#endif
/* Get three 32 bit ints from a double. */
#define GET_LDOUBLE_WORDS(exp,ix0,ix1,d) \
do { \
ieee_long_double_shape_type ew_u; \
ew_u.value = (d); \
(exp) = ew_u.parts.sign_exponent; \
(ix0) = ew_u.parts.msw; \
(ix1) = ew_u.parts.lsw; \
} while (0)
/* Set a double from two 32 bit ints. */
#define SET_LDOUBLE_WORDS(d,exp,ix0,ix1) \
do { \
ieee_long_double_shape_type iw_u; \
iw_u.parts.sign_exponent = (exp); \
iw_u.parts.msw = (ix0); \
iw_u.parts.lsw = (ix1); \
(d) = iw_u.value; \
} while (0)
/* Get the more significant 32 bits of a long double mantissa. */
#define GET_LDOUBLE_MSW(v,d) \
do { \
ieee_long_double_shape_type sh_u; \
sh_u.value = (d); \
(v) = sh_u.parts.msw; \
} while (0)
/* Set the more significant 32 bits of a long double mantissa from an int. */
#define SET_LDOUBLE_MSW(d,v) \
do { \
ieee_long_double_shape_type sh_u; \
sh_u.value = (d); \
sh_u.parts.msw = (v); \
(d) = sh_u.value; \
} while (0)
/* Get int from the exponent of a long double. */
#define GET_LDOUBLE_EXP(exp,d) \
do { \
ieee_long_double_shape_type ge_u; \
ge_u.value = (d); \
(exp) = ge_u.parts.sign_exponent; \
} while (0)
/* Set exponent of a long double from an int. */
#define SET_LDOUBLE_EXP(d,exp) \
do { \
ieee_long_double_shape_type se_u; \
se_u.value = (d); \
se_u.parts.sign_exponent = (exp); \
(d) = se_u.value; \
} while (0)
/* ieee style elementary functions */
extern double __ieee754_sqrt __P((double));
extern double __ieee754_acos __P((double));
extern double __ieee754_acosh __P((double));
extern double __ieee754_log __P((double));
extern double __ieee754_atanh __P((double));
extern double __ieee754_asin __P((double));
extern double __ieee754_atan2 __P((double,double));
extern double __ieee754_exp __P((double));
extern double __ieee754_exp2 __P((double));
extern double __ieee754_exp10 __P((double));
extern double __ieee754_cosh __P((double));
extern double __ieee754_fmod __P((double,double));
extern double __ieee754_pow __P((double,double));
extern double __ieee754_lgamma_r __P((double,int *));
extern double __ieee754_gamma_r __P((double,int *));
extern double __ieee754_lgamma __P((double));
extern double __ieee754_gamma __P((double));
extern double __ieee754_log10 __P((double));
extern double __ieee754_sinh __P((double));
extern double __ieee754_hypot __P((double,double));
extern double __ieee754_j0 __P((double));
extern double __ieee754_j1 __P((double));
extern double __ieee754_y0 __P((double));
extern double __ieee754_y1 __P((double));
extern double __ieee754_jn __P((int,double));
extern double __ieee754_yn __P((int,double));
extern double __ieee754_remainder __P((double,double));
extern int32_t __ieee754_rem_pio2 __P((double,double*));
extern double __ieee754_scalb __P((double,double));
/* fdlibm kernel function */
extern double __kernel_standard __P((double,double,int));
extern double __kernel_sin __P((double,double,int));
extern double __kernel_cos __P((double,double));
extern double __kernel_tan __P((double,double,int));
extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,
const int32_t*));
/* ieee style elementary float functions */
extern float __ieee754_sqrtf __P((float));
extern float __ieee754_acosf __P((float));
extern float __ieee754_acoshf __P((float));
extern float __ieee754_logf __P((float));
extern float __ieee754_atanhf __P((float));
extern float __ieee754_asinf __P((float));
extern float __ieee754_atan2f __P((float,float));
extern float __ieee754_expf __P((float));
extern float __ieee754_exp2f __P((float));
extern float __ieee754_exp10f __P((float));
extern float __ieee754_coshf __P((float));
extern float __ieee754_fmodf __P((float,float));
extern float __ieee754_powf __P((float,float));
extern float __ieee754_lgammaf_r __P((float,int *));
extern float __ieee754_gammaf_r __P((float,int *));
extern float __ieee754_lgammaf __P((float));
extern float __ieee754_gammaf __P((float));
extern float __ieee754_log10f __P((float));
extern float __ieee754_sinhf __P((float));
extern float __ieee754_hypotf __P((float,float));
extern float __ieee754_j0f __P((float));
extern float __ieee754_j1f __P((float));
extern float __ieee754_y0f __P((float));
extern float __ieee754_y1f __P((float));
extern float __ieee754_jnf __P((int,float));
extern float __ieee754_ynf __P((int,float));
extern float __ieee754_remainderf __P((float,float));
extern int32_t __ieee754_rem_pio2f __P((float,float*));
extern float __ieee754_scalbf __P((float,float));
/* float versions of fdlibm kernel functions */
extern float __kernel_sinf __P((float,float,int));
extern float __kernel_cosf __P((float,float));
extern float __kernel_tanf __P((float,float,int));
extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,
const int32_t*));
/* ieee style elementary long double functions */
extern long double __ieee754_sqrtl __P((long double));
extern long double __ieee754_acosl __P((long double));
extern long double __ieee754_acoshl __P((long double));
extern long double __ieee754_logl __P((long double));
extern long double __ieee754_atanhl __P((long double));
extern long double __ieee754_asinl __P((long double));
extern long double __ieee754_atan2l __P((long double,long double));
extern long double __ieee754_expl __P((long double));
extern long double __ieee754_exp2l __P((long double));
extern long double __ieee754_exp10l __P((long double));
extern long double __ieee754_coshl __P((long double));
extern long double __ieee754_fmodl __P((long double,long double));
extern long double __ieee754_powl __P((long double,long double));
extern long double __ieee754_lgammal_r __P((long double,int *));
extern long double __ieee754_gammal_r __P((long double,int *));
extern long double __ieee754_lgammal __P((long double));
extern long double __ieee754_gammal __P((long double));
extern long double __ieee754_log10l __P((long double));
extern long double __ieee754_sinhl __P((long double));
extern long double __ieee754_hypotl __P((long double,long double));
extern long double __ieee754_j0l __P((long double));
extern long double __ieee754_j1l __P((long double));
extern long double __ieee754_y0l __P((long double));
extern long double __ieee754_y1l __P((long double));
extern long double __ieee754_jnl __P((int,long double));
extern long double __ieee754_ynl __P((int,long double));
extern long double __ieee754_remainderl __P((long double,long double));
extern int __ieee754_rem_pio2l __P((long double,long double*));
extern long double __ieee754_scalbl __P((long double,long double));
/* long double versions of fdlibm kernel functions */
extern long double __kernel_sinl __P((long double,long double,int));
extern long double __kernel_cosl __P((long double,long double));
extern long double __kernel_tanl __P((long double,long double,int));
extern int __kernel_rem_pio2l __P((long double*,long double*,int,int,
int,const int*));
#endif /* _MATH_PRIVATE_H_ */
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