math/math_private.h

   1 /*
   2  * ====================================================
   3  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
   4  *
   5  * Developed at SunPro, a Sun Microsystems, Inc. business.
   6  * Permission to use, copy, modify, and distribute this
   7  * software is freely granted, provided that this notice
   8  * is preserved.
   9  * ====================================================
  10  */
  11
  12 /*
  13  * from: @(#)fdlibm.h 5.1 93/09/24
  14  * $Id$
  15  */
  16
  17 #ifndef _MATH_PRIVATE_H_
  18 #define _MATH_PRIVATE_H_
  19
  20 #include <machine/endian.h>
  21 #include <sys/types.h>
  22
  23 /* The original fdlibm code used statements like:
  24         n0 = ((*(int*)&one)>>29)^1;             * index of high word *
  25         ix0 = *(n0+(int*)&x);                   * high word of x *
  26         ix1 = *((1-n0)+(int*)&x);               * low word of x *
  27    to dig two 32 bit words out of the 64 bit IEEE floating point
  28    value.  That is non-ANSI, and, moreover, the gcc instruction
  29    scheduler gets it wrong.  We instead use the following macros.
  30    Unlike the original code, we determine the endianness at compile
  31    time, not at run time; I don't see much benefit to selecting
  32    endianness at run time.  */
  33
  34 /* A union which permits us to convert between a double and two 32 bit
  35    ints.  */
  36
  37 #if BYTE_ORDER == BIG_ENDIAN
  38
  39 typedef union
  40 {
  41   double value;
  42   struct
  43   {
  44     u_int32_t msw;
  45     u_int32_t lsw;
  46   } parts;
  47 } ieee_double_shape_type;
  48
  49 #endif
  50
  51 #if BYTE_ORDER == LITTLE_ENDIAN
  52
  53 typedef union
  54 {
  55   double value;
  56   struct
  57   {
  58     u_int32_t lsw;
  59     u_int32_t msw;
  60   } parts;
  61 } ieee_double_shape_type;
  62
  63 #endif
  64
  65 /* Get two 32 bit ints from a double.  */
  66
  67 #define EXTRACT_WORDS(ix0,ix1,d)                                \
  68 do {                                                            \
  69   ieee_double_shape_type ew_u;                                  \
  70   ew_u.value = (d);                                             \
  71   (ix0) = ew_u.parts.msw;                                       \
  72   (ix1) = ew_u.parts.lsw;                                       \
  73 } while (0)
  74
  75 /* Get the more significant 32 bit int from a double.  */
  76
  77 #define GET_HIGH_WORD(i,d)                                      \
  78 do {                                                            \
  79   ieee_double_shape_type gh_u;                                  \
  80   gh_u.value = (d);                                             \
  81   (i) = gh_u.parts.msw;                                         \
  82 } while (0)
  83
  84 /* Get the less significant 32 bit int from a double.  */
  85
  86 #define GET_LOW_WORD(i,d)                                       \
  87 do {                                                            \
  88   ieee_double_shape_type gl_u;                                  \
  89   gl_u.value = (d);                                             \
  90   (i) = gl_u.parts.lsw;                                         \
  91 } while (0)
  92
  93 /* Set a double from two 32 bit ints.  */
  94
  95 #define INSERT_WORDS(d,ix0,ix1)                                 \
  96 do {                                                            \
  97   ieee_double_shape_type iw_u;                                  \
  98   iw_u.parts.msw = (ix0);                                       \
  99   iw_u.parts.lsw = (ix1);                                       \
 100   (d) = iw_u.value;                                             \
 101 } while (0)
 102
 103 /* Set the more significant 32 bits of a double from an int.  */
 104
 105 #define SET_HIGH_WORD(d,v)                                      \
 106 do {                                                            \
 107   ieee_double_shape_type sh_u;                                  \
 108   sh_u.value = (d);                                             \
 109   sh_u.parts.msw = (v);                                         \
 110   (d) = sh_u.value;                                             \
 111 } while (0)
 112
 113 /* Set the less significant 32 bits of a double from an int.  */
 114
 115 #define SET_LOW_WORD(d,v)                                       \
 116 do {                                                            \
 117   ieee_double_shape_type sl_u;                                  \
 118   sl_u.value = (d);                                             \
 119   sl_u.parts.lsw = (v);                                         \
 120   (d) = sl_u.value;                                             \
 121 } while (0)
 122
 123 /* A union which permits us to convert between a float and a 32 bit
 124    int.  */
 125
 126 typedef union
 127 {
 128   float value;
 129   u_int32_t word;
 130 } ieee_float_shape_type;
 131
 132 /* Get a 32 bit int from a float.  */
 133
 134 #define GET_FLOAT_WORD(i,d)                                     \
 135 do {                                                            \
 136   ieee_float_shape_type gf_u;                                   \
 137   gf_u.value = (d);                                             \
 138   (i) = gf_u.word;                                              \
 139 } while (0)
 140
 141 /* Set a float from a 32 bit int.  */
 142
 143 #define SET_FLOAT_WORD(d,i)                                     \
 144 do {                                                            \
 145   ieee_float_shape_type sf_u;                                   \
 146   sf_u.word = (i);                                              \
 147   (d) = sf_u.value;                                             \
 148 } while (0)
 149
 150 /* ieee style elementary functions */
 151 extern double __ieee754_sqrt __P((double));
 152 extern double __ieee754_acos __P((double));
 153 extern double __ieee754_acosh __P((double));
 154 extern double __ieee754_log __P((double));
 155 extern double __ieee754_atanh __P((double));
 156 extern double __ieee754_asin __P((double));
 157 extern double __ieee754_atan2 __P((double,double));
 158 extern double __ieee754_exp __P((double));
 159 extern double __ieee754_cosh __P((double));
 160 extern double __ieee754_fmod __P((double,double));
 161 extern double __ieee754_pow __P((double,double));
 162 extern double __ieee754_lgamma_r __P((double,int *));
 163 extern double __ieee754_gamma_r __P((double,int *));
 164 extern double __ieee754_lgamma __P((double));
 165 extern double __ieee754_gamma __P((double));
 166 extern double __ieee754_log10 __P((double));
 167 extern double __ieee754_sinh __P((double));
 168 extern double __ieee754_hypot __P((double,double));
 169 extern double __ieee754_j0 __P((double));
 170 extern double __ieee754_j1 __P((double));
 171 extern double __ieee754_y0 __P((double));
 172 extern double __ieee754_y1 __P((double));
 173 extern double __ieee754_jn __P((int,double));
 174 extern double __ieee754_yn __P((int,double));
 175 extern double __ieee754_remainder __P((double,double));
 176 extern int    __ieee754_rem_pio2 __P((double,double*));
 177 extern double __ieee754_scalb __P((double,double));
 178
 179 /* fdlibm kernel function */
 180 extern double __kernel_standard __P((double,double,int));
 181 extern double __kernel_sin __P((double,double,int));
 182 extern double __kernel_cos __P((double,double));
 183 extern double __kernel_tan __P((double,double,int));
 184 extern int    __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*));
 185
 186
 187 /* ieee style elementary float functions */
 188 extern float __ieee754_sqrtf __P((float));
 189 extern float __ieee754_acosf __P((float));
 190 extern float __ieee754_acoshf __P((float));
 191 extern float __ieee754_logf __P((float));
 192 extern float __ieee754_atanhf __P((float));
 193 extern float __ieee754_asinf __P((float));
 194 extern float __ieee754_atan2f __P((float,float));
 195 extern float __ieee754_expf __P((float));
 196 extern float __ieee754_coshf __P((float));
 197 extern float __ieee754_fmodf __P((float,float));
 198 extern float __ieee754_powf __P((float,float));
 199 extern float __ieee754_lgammaf_r __P((float,int *));
 200 extern float __ieee754_gammaf_r __P((float,int *));
 201 extern float __ieee754_lgammaf __P((float));
 202 extern float __ieee754_gammaf __P((float));
 203 extern float __ieee754_log10f __P((float));
 204 extern float __ieee754_sinhf __P((float));
 205 extern float __ieee754_hypotf __P((float,float));
 206 extern float __ieee754_j0f __P((float));
 207 extern float __ieee754_j1f __P((float));
 208 extern float __ieee754_y0f __P((float));
 209 extern float __ieee754_y1f __P((float));
 210 extern float __ieee754_jnf __P((int,float));
 211 extern float __ieee754_ynf __P((int,float));
 212 extern float __ieee754_remainderf __P((float,float));
 213 extern int   __ieee754_rem_pio2f __P((float,float*));
 214 extern float __ieee754_scalbf __P((float,float));
 215
 216 /* float versions of fdlibm kernel functions */
 217 extern float __kernel_sinf __P((float,float,int));
 218 extern float __kernel_cosf __P((float,float));
 219 extern float __kernel_tanf __P((float,float,int));
 220 extern int   __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*));
 221
 222 #endif /* _MATH_PRIVATE_H_ */