262 lines
7.4 KiB
C
262 lines
7.4 KiB
C
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/* @(#)fdlibm.h 5.1 93/09/24 */
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/*
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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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/* CYGNUS LOCAL: Include files. */
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#include <math.h>
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#include <machine/ieeefp.h>
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/* CYGNUS LOCAL: Default to XOPEN_MODE. */
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#define _XOPEN_MODE
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#ifdef __STDC__
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#define __P(p) p
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#else
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#define __P(p) ()
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#endif
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#define HUGE ((float)3.40282346638528860e+38)
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/*
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* set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
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* (one may replace the following line by "#include <values.h>")
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*/
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#define X_TLOSS 1.41484755040568800000e+16
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/* Functions that are not documented, and are not in <math.h>. */
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extern double logb __P((double));
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#ifdef _SCALB_INT
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extern double scalb __P((double, int));
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#else
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extern double scalb __P((double, double));
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#endif
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extern double significand __P((double));
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/* ieee style elementary functions */
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extern double __ieee754_sqrt __P((double));
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extern double __ieee754_acos __P((double));
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extern double __ieee754_acosh __P((double));
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extern double __ieee754_log __P((double));
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extern double __ieee754_atanh __P((double));
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extern double __ieee754_asin __P((double));
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extern double __ieee754_atan2 __P((double,double));
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extern double __ieee754_exp __P((double));
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extern double __ieee754_cosh __P((double));
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extern double __ieee754_fmod __P((double,double));
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extern double __ieee754_pow __P((double,double));
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extern double __ieee754_lgamma_r __P((double,int *));
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extern double __ieee754_gamma_r __P((double,int *));
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extern double __ieee754_log10 __P((double));
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extern double __ieee754_sinh __P((double));
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extern double __ieee754_hypot __P((double,double));
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extern double __ieee754_j0 __P((double));
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extern double __ieee754_j1 __P((double));
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extern double __ieee754_y0 __P((double));
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extern double __ieee754_y1 __P((double));
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extern double __ieee754_jn __P((int,double));
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extern double __ieee754_yn __P((int,double));
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extern double __ieee754_remainder __P((double,double));
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extern __int32_t __ieee754_rem_pio2 __P((double,double*));
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#ifdef _SCALB_INT
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extern double __ieee754_scalb __P((double,int));
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#else
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extern double __ieee754_scalb __P((double,double));
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#endif
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/* fdlibm kernel function */
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extern double __kernel_standard __P((double,double,int));
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extern double __kernel_sin __P((double,double,int));
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extern double __kernel_cos __P((double,double));
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extern double __kernel_tan __P((double,double,int));
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extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const __int32_t*));
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/* Undocumented float functions. */
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extern float logbf __P((float));
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#ifdef _SCALB_INT
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extern float scalbf __P((float, int));
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#else
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extern float scalbf __P((float, float));
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#endif
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extern float significandf __P((float));
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/* ieee style elementary float functions */
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extern float __ieee754_sqrtf __P((float));
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extern float __ieee754_acosf __P((float));
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extern float __ieee754_acoshf __P((float));
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extern float __ieee754_logf __P((float));
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extern float __ieee754_atanhf __P((float));
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extern float __ieee754_asinf __P((float));
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extern float __ieee754_atan2f __P((float,float));
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extern float __ieee754_expf __P((float));
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extern float __ieee754_coshf __P((float));
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extern float __ieee754_fmodf __P((float,float));
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extern float __ieee754_powf __P((float,float));
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extern float __ieee754_lgammaf_r __P((float,int *));
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extern float __ieee754_gammaf_r __P((float,int *));
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extern float __ieee754_log10f __P((float));
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extern float __ieee754_sinhf __P((float));
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extern float __ieee754_hypotf __P((float,float));
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extern float __ieee754_j0f __P((float));
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extern float __ieee754_j1f __P((float));
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extern float __ieee754_y0f __P((float));
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extern float __ieee754_y1f __P((float));
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extern float __ieee754_jnf __P((int,float));
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extern float __ieee754_ynf __P((int,float));
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extern float __ieee754_remainderf __P((float,float));
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extern __int32_t __ieee754_rem_pio2f __P((float,float*));
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#ifdef _SCALB_INT
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extern float __ieee754_scalbf __P((float,int));
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#else
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extern float __ieee754_scalbf __P((float,float));
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#endif
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/* float versions of fdlibm kernel functions */
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extern float __kernel_sinf __P((float,float,int));
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extern float __kernel_cosf __P((float,float));
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extern float __kernel_tanf __P((float,float,int));
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extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,const __int32_t*));
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/* The original 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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#ifndef __IEEE_BIG_ENDIAN
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#ifndef __IEEE_LITTLE_ENDIAN
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#error Must define endianness
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#endif
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#endif
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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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#ifdef __IEEE_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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__uint32_t msw;
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__uint32_t lsw;
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} parts;
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} ieee_double_shape_type;
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#endif
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#ifdef __IEEE_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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__uint32_t lsw;
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__uint32_t msw;
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} parts;
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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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/* 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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/* 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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__uint32_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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