407 lines
13 KiB
C
407 lines
13 KiB
C
/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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/*
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* from: @(#)fdlibm.h 5.1 93/09/24
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*/
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#ifndef _MATH_PRIVATE_H_
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#define _MATH_PRIVATE_H_
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#include <endian.h>
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#include <stdint.h>
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#include <sys/types.h>
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/* The original fdlibm code used statements like:
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n0 = ((*(int*)&one)>>29)^1; * index of high word *
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ix0 = *(n0+(int*)&x); * high word of x *
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ix1 = *((1-n0)+(int*)&x); * low word of x *
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to dig two 32 bit words out of the 64 bit IEEE floating point
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value. That is non-ANSI, and, moreover, the gcc instruction
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scheduler gets it wrong. We instead use the following macros.
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Unlike the original code, we determine the endianness at compile
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time, not at run time; I don't see much benefit to selecting
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endianness at run time. */
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/* A union which permits us to convert between a double and two 32 bit
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ints. */
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#if __FLOAT_WORD_ORDER == BIG_ENDIAN
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typedef union
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{
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double value;
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struct
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{
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u_int32_t msw;
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u_int32_t lsw;
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} parts;
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uint64_t word;
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} ieee_double_shape_type;
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#endif
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#if __FLOAT_WORD_ORDER == LITTLE_ENDIAN
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typedef union
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{
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double value;
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struct
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{
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u_int32_t lsw;
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u_int32_t msw;
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} parts;
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uint64_t word;
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} ieee_double_shape_type;
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#endif
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/* Get two 32 bit ints from a double. */
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#define EXTRACT_WORDS(ix0,ix1,d) \
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do { \
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ieee_double_shape_type ew_u; \
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ew_u.value = (d); \
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(ix0) = ew_u.parts.msw; \
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(ix1) = ew_u.parts.lsw; \
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} while (0)
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/* Get the more significant 32 bit int from a double. */
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#define GET_HIGH_WORD(i,d) \
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do { \
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ieee_double_shape_type gh_u; \
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gh_u.value = (d); \
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(i) = gh_u.parts.msw; \
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} while (0)
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/* Get the less significant 32 bit int from a double. */
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#define GET_LOW_WORD(i,d) \
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do { \
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ieee_double_shape_type gl_u; \
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gl_u.value = (d); \
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(i) = gl_u.parts.lsw; \
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} while (0)
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/* Get all in one, efficient on 64-bit machines. */
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#define EXTRACT_WORDS64(i,d) \
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do { \
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ieee_double_shape_type gh_u; \
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gh_u.value = (d); \
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(i) = gh_u.word; \
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} while (0)
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/* Set a double from two 32 bit ints. */
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#define INSERT_WORDS(d,ix0,ix1) \
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do { \
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ieee_double_shape_type iw_u; \
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iw_u.parts.msw = (ix0); \
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iw_u.parts.lsw = (ix1); \
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(d) = iw_u.value; \
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} while (0)
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/* Get all in one, efficient on 64-bit machines. */
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#define INSERT_WORDS64(d,i) \
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do { \
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ieee_double_shape_type iw_u; \
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iw_u.word = (i); \
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(d) = iw_u.value; \
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} while (0)
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/* Set the more significant 32 bits of a double from an int. */
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#define SET_HIGH_WORD(d,v) \
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do { \
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ieee_double_shape_type sh_u; \
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sh_u.value = (d); \
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sh_u.parts.msw = (v); \
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(d) = sh_u.value; \
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} while (0)
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/* Set the less significant 32 bits of a double from an int. */
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#define SET_LOW_WORD(d,v) \
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do { \
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ieee_double_shape_type sl_u; \
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sl_u.value = (d); \
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sl_u.parts.lsw = (v); \
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(d) = sl_u.value; \
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} while (0)
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/* A union which permits us to convert between a float and a 32 bit
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int. */
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typedef union
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{
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float value;
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u_int32_t word;
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} ieee_float_shape_type;
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/* Get a 32 bit int from a float. */
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#define GET_FLOAT_WORD(i,d) \
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do { \
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ieee_float_shape_type gf_u; \
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gf_u.value = (d); \
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(i) = gf_u.word; \
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} while (0)
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/* Set a float from a 32 bit int. */
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#define SET_FLOAT_WORD(d,i) \
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do { \
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ieee_float_shape_type sf_u; \
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sf_u.word = (i); \
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(d) = sf_u.value; \
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} while (0)
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/* Get long double macros from a separate header. */
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#include <math_ldbl.h>
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/* ieee style elementary functions */
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extern double __ieee754_sqrt (double);
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extern double __ieee754_acos (double);
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extern double __ieee754_acosh (double);
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extern double __ieee754_log (double);
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extern double __ieee754_atanh (double);
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extern double __ieee754_asin (double);
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extern double __ieee754_atan2 (double,double);
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extern double __ieee754_exp (double);
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extern double __ieee754_exp2 (double);
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extern double __ieee754_exp10 (double);
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extern double __ieee754_cosh (double);
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extern double __ieee754_fmod (double,double);
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extern double __ieee754_pow (double,double);
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extern double __ieee754_lgamma_r (double,int *);
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extern double __ieee754_gamma_r (double,int *);
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extern double __ieee754_lgamma (double);
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extern double __ieee754_gamma (double);
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extern double __ieee754_log10 (double);
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extern double __ieee754_log2 (double);
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extern double __ieee754_sinh (double);
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extern double __ieee754_hypot (double,double);
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extern double __ieee754_j0 (double);
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extern double __ieee754_j1 (double);
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extern double __ieee754_y0 (double);
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extern double __ieee754_y1 (double);
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extern double __ieee754_jn (int,double);
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extern double __ieee754_yn (int,double);
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extern double __ieee754_remainder (double,double);
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extern int32_t __ieee754_rem_pio2 (double,double*);
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extern double __ieee754_scalb (double,double);
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/* fdlibm kernel function */
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extern double __kernel_standard (double,double,int);
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extern float __kernel_standard_f (float,float,int);
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extern double __kernel_sin (double,double,int);
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extern double __kernel_cos (double,double);
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extern double __kernel_tan (double,double,int);
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extern int __kernel_rem_pio2 (double*,double*,int,int,int, const int32_t*);
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/* internal functions. */
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extern double __copysign (double x, double __y);
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#if __GNUC_PREREQ (4, 0)
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extern inline double __copysign (double x, double y)
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{ return __builtin_copysign (x, y); }
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#endif
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/* ieee style elementary float functions */
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extern float __ieee754_sqrtf (float);
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extern float __ieee754_acosf (float);
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extern float __ieee754_acoshf (float);
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extern float __ieee754_logf (float);
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extern float __ieee754_atanhf (float);
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extern float __ieee754_asinf (float);
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extern float __ieee754_atan2f (float,float);
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extern float __ieee754_expf (float);
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extern float __ieee754_exp2f (float);
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extern float __ieee754_exp10f (float);
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extern float __ieee754_coshf (float);
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extern float __ieee754_fmodf (float,float);
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extern float __ieee754_powf (float,float);
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extern float __ieee754_lgammaf_r (float,int *);
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extern float __ieee754_gammaf_r (float,int *);
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extern float __ieee754_lgammaf (float);
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extern float __ieee754_gammaf (float);
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extern float __ieee754_log10f (float);
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extern float __ieee754_log2f (float);
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extern float __ieee754_sinhf (float);
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extern float __ieee754_hypotf (float,float);
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extern float __ieee754_j0f (float);
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extern float __ieee754_j1f (float);
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extern float __ieee754_y0f (float);
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extern float __ieee754_y1f (float);
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extern float __ieee754_jnf (int,float);
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extern float __ieee754_ynf (int,float);
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extern float __ieee754_remainderf (float,float);
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extern int32_t __ieee754_rem_pio2f (float,float*);
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extern float __ieee754_scalbf (float,float);
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/* float versions of fdlibm kernel functions */
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extern float __kernel_sinf (float,float,int);
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extern float __kernel_cosf (float,float);
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extern float __kernel_tanf (float,float,int);
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extern int __kernel_rem_pio2f (float*,float*,int,int,int, const int32_t*);
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/* internal functions. */
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extern float __copysignf (float x, float __y);
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#if __GNUC_PREREQ (4, 0)
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extern inline float __copysignf (float x, float y)
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{ return __builtin_copysignf (x, y); }
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#endif
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/* ieee style elementary long double functions */
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extern long double __ieee754_sqrtl (long double);
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extern long double __ieee754_acosl (long double);
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extern long double __ieee754_acoshl (long double);
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extern long double __ieee754_logl (long double);
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extern long double __ieee754_atanhl (long double);
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extern long double __ieee754_asinl (long double);
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extern long double __ieee754_atan2l (long double,long double);
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extern long double __ieee754_expl (long double);
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extern long double __ieee754_exp2l (long double);
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extern long double __ieee754_exp10l (long double);
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extern long double __ieee754_coshl (long double);
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extern long double __ieee754_fmodl (long double,long double);
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extern long double __ieee754_powl (long double,long double);
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extern long double __ieee754_lgammal_r (long double,int *);
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extern long double __ieee754_gammal_r (long double,int *);
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extern long double __ieee754_lgammal (long double);
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extern long double __ieee754_gammal (long double);
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extern long double __ieee754_log10l (long double);
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extern long double __ieee754_log2l (long double);
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extern long double __ieee754_sinhl (long double);
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extern long double __ieee754_hypotl (long double,long double);
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extern long double __ieee754_j0l (long double);
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extern long double __ieee754_j1l (long double);
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extern long double __ieee754_y0l (long double);
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extern long double __ieee754_y1l (long double);
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extern long double __ieee754_jnl (int,long double);
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extern long double __ieee754_ynl (int,long double);
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extern long double __ieee754_remainderl (long double,long double);
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extern int __ieee754_rem_pio2l (long double,long double*);
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extern long double __ieee754_scalbl (long double,long double);
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/* long double versions of fdlibm kernel functions */
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extern long double __kernel_sinl (long double,long double,int);
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extern long double __kernel_cosl (long double,long double);
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extern long double __kernel_tanl (long double,long double,int);
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extern void __kernel_sincosl (long double,long double,
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long double *,long double *, int);
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extern int __kernel_rem_pio2l (long double*,long double*,int,int,
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int,const int*);
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#ifndef NO_LONG_DOUBLE
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/* prototypes required to compile the ldbl-96 support without warnings */
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extern int __finitel (long double);
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extern int __ilogbl (long double);
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extern int __isinfl (long double);
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extern int __isnanl (long double);
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extern long double __atanl (long double);
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extern long double __copysignl (long double, long double);
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extern long double __expm1l (long double);
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extern long double __floorl (long double);
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extern long double __frexpl (long double, int *);
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extern long double __ldexpl (long double, int);
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extern long double __log1pl (long double);
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extern long double __nanl (const char *);
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extern long double __rintl (long double);
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extern long double __scalbnl (long double, int);
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extern long double __sqrtl (long double x);
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extern long double fabsl (long double x);
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extern void __sincosl (long double, long double *, long double *);
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extern long double __logbl (long double x);
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extern long double __significandl (long double x);
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#if __GNUC_PREREQ (4, 0)
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extern inline long double __copysignl (long double x, long double y)
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{ return __builtin_copysignl (x, y); }
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#endif
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#endif
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/* Prototypes for functions of the IBM Accurate Mathematical Library. */
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extern double __exp1 (double __x, double __xx, double __error);
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extern double __sin (double __x);
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extern double __cos (double __x);
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extern int __branred (double __x, double *__a, double *__aa);
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extern void __doasin (double __x, double __dx, double __v[]);
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extern void __dubsin (double __x, double __dx, double __v[]);
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extern void __dubcos (double __x, double __dx, double __v[]);
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extern double __halfulp (double __x, double __y);
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extern double __sin32 (double __x, double __res, double __res1);
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extern double __cos32 (double __x, double __res, double __res1);
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extern double __mpsin (double __x, double __dx);
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extern double __mpcos (double __x, double __dx);
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extern double __mpsin1 (double __x);
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extern double __mpcos1 (double __x);
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extern double __slowexp (double __x);
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extern double __slowpow (double __x, double __y, double __z);
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extern void __docos (double __x, double __dx, double __v[]);
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#ifndef math_opt_barrier
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#define math_opt_barrier(x) \
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({ __typeof (x) __x = (x); __asm ("" : "+m" (__x)); __x; })
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#define math_force_eval(x) \
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({ __typeof (x) __x = (x); __asm __volatile ("" : : "m" (__x)); })
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#endif
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/* The standards only specify one variant of the fenv.h interfaces.
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But at least for some architectures we can be more efficient if we
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know what operations are going to be performed. Therefore we
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define additional interfaces. By default they refer to the normal
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interfaces. */
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#define libc_fegetround() fegetround ()
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#define libc_fegetroundf() fegetround ()
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#define libc_fegetroundl() fegetround ()
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#define libc_fesetround(r) (void) fesetround (r)
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#define libc_fesetroundf(r) (void) fesetround (r)
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#define libc_fesetroundl(r) (void) fesetround (r)
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#define libc_feholdexcept(e) (void) feholdexcept (e)
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#define libc_feholdexceptf(e) (void) feholdexcept (e)
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#define libc_feholdexceptl(e) (void) feholdexcept (e)
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#define libc_feholdexcept_setround(e, r) \
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do { feholdexcept (e); fesetround (r); } while (0)
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#define libc_feholdexcept_setroundf(e, r) \
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do { feholdexcept (e); fesetround (r); } while (0)
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#define libc_feholdexcept_setroundl(e, r) \
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do { feholdexcept (e); fesetround (r); } while (0)
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#define libc_fetestexcept(e) fetestexcept (e)
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#define libc_fetestexceptf(e) fetestexcept (e)
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#define libc_fetestexceptl(e) fetestexcept (e)
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#define libc_fesetenv(e) (void) fesetenv (e)
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#define libc_fesetenvf(e) (void) fesetenv (e)
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#define libc_fesetenvl(e) (void) fesetenv (e)
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#define libc_feupdateenv(e) (void) feupdateenv (e)
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#define libc_feupdateenvf(e) (void) feupdateenv (e)
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#define libc_feupdateenvl(e) (void) feupdateenv (e)
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#define __nan(str) \
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(__builtin_constant_p (str) && str[0] == '\0' ? NAN : __nan (str))
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#define __nanf(str) \
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(__builtin_constant_p (str) && str[0] == '\0' ? NAN : __nan (str))
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#define __nanl(str) \
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(__builtin_constant_p (str) && str[0] == '\0' ? NAN : __nan (str))
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#endif /* _MATH_PRIVATE_H_ */
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