sysdeps/generic/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  */
  15
  16 #ifndef _MATH_PRIVATE_H_
  17 #define _MATH_PRIVATE_H_
  18
  19 #include <endian.h>
  20 #include <stdbool.h>
  21 #include <stdint.h>
  22 #include <sys/types.h>
  23
  24 /* Gather machine dependent _Floatn support.  */
  25 #include <bits/floatn.h>
  26
  27 /* The original fdlibm code used statements like:
  28         n0 = ((*(int*)&one)>>29)^1;             * index of high word *
  29         ix0 = *(n0+(int*)&x);                   * high word of x *
  30         ix1 = *((1-n0)+(int*)&x);               * low word of x *
  31    to dig two 32 bit words out of the 64 bit IEEE floating point
  32    value.  That is non-ANSI, and, moreover, the gcc instruction
  33    scheduler gets it wrong.  We instead use the following macros.
  34    Unlike the original code, we determine the endianness at compile
  35    time, not at run time; I don't see much benefit to selecting
  36    endianness at run time.  */
  37
  38 /* A union which permits us to convert between a double and two 32 bit
  39    ints.  */
  40
  41 #if __FLOAT_WORD_ORDER == __BIG_ENDIAN
  42
  43 typedef union
  44 {
  45   double value;
  46   struct
  47   {
  48     uint32_t msw;
  49     uint32_t lsw;
  50   } parts;
  51   uint64_t word;
  52 } ieee_double_shape_type;
  53
  54 #endif
  55
  56 #if __FLOAT_WORD_ORDER == __LITTLE_ENDIAN
  57
  58 typedef union
  59 {
  60   double value;
  61   struct
  62   {
  63     uint32_t lsw;
  64     uint32_t msw;
  65   } parts;
  66   uint64_t word;
  67 } ieee_double_shape_type;
  68
  69 #endif
  70
  71 /* Get two 32 bit ints from a double.  */
  72
  73 #define EXTRACT_WORDS(ix0,ix1,d)                                \
  74 do {                                                            \
  75   ieee_double_shape_type ew_u;                                  \
  76   ew_u.value = (d);                                             \
  77   (ix0) = ew_u.parts.msw;                                       \
  78   (ix1) = ew_u.parts.lsw;                                       \
  79 } while (0)
  80
  81 /* Get the more significant 32 bit int from a double.  */
  82
  83 #ifndef GET_HIGH_WORD
  84 # define GET_HIGH_WORD(i,d)                                     \
  85 do {                                                            \
  86   ieee_double_shape_type gh_u;                                  \
  87   gh_u.value = (d);                                             \
  88   (i) = gh_u.parts.msw;                                         \
  89 } while (0)
  90 #endif
  91
  92 /* Get the less significant 32 bit int from a double.  */
  93
  94 #ifndef GET_LOW_WORD
  95 # define GET_LOW_WORD(i,d)                                      \
  96 do {                                                            \
  97   ieee_double_shape_type gl_u;                                  \
  98   gl_u.value = (d);                                             \
  99   (i) = gl_u.parts.lsw;                                         \
 100 } while (0)
 101 #endif
 102
 103 /* Get all in one, efficient on 64-bit machines.  */
 104 #ifndef EXTRACT_WORDS64
 105 # define EXTRACT_WORDS64(i,d)                                   \
 106 do {                                                            \
 107   ieee_double_shape_type gh_u;                                  \
 108   gh_u.value = (d);                                             \
 109   (i) = gh_u.word;                                              \
 110 } while (0)
 111 #endif
 112
 113 /* Set a double from two 32 bit ints.  */
 114 #ifndef INSERT_WORDS
 115 # define INSERT_WORDS(d,ix0,ix1)                                \
 116 do {                                                            \
 117   ieee_double_shape_type iw_u;                                  \
 118   iw_u.parts.msw = (ix0);                                       \
 119   iw_u.parts.lsw = (ix1);                                       \
 120   (d) = iw_u.value;                                             \
 121 } while (0)
 122 #endif
 123
 124 /* Get all in one, efficient on 64-bit machines.  */
 125 #ifndef INSERT_WORDS64
 126 # define INSERT_WORDS64(d,i)                                    \
 127 do {                                                            \
 128   ieee_double_shape_type iw_u;                                  \
 129   iw_u.word = (i);                                              \
 130   (d) = iw_u.value;                                             \
 131 } while (0)
 132 #endif
 133
 134 /* Set the more significant 32 bits of a double from an int.  */
 135 #ifndef SET_HIGH_WORD
 136 #define SET_HIGH_WORD(d,v)                                      \
 137 do {                                                            \
 138   ieee_double_shape_type sh_u;                                  \
 139   sh_u.value = (d);                                             \
 140   sh_u.parts.msw = (v);                                         \
 141   (d) = sh_u.value;                                             \
 142 } while (0)
 143 #endif
 144
 145 /* Set the less significant 32 bits of a double from an int.  */
 146 #ifndef SET_LOW_WORD
 147 # define SET_LOW_WORD(d,v)                                      \
 148 do {                                                            \
 149   ieee_double_shape_type sl_u;                                  \
 150   sl_u.value = (d);                                             \
 151   sl_u.parts.lsw = (v);                                         \
 152   (d) = sl_u.value;                                             \
 153 } while (0)
 154 #endif
 155
 156 /* A union which permits us to convert between a float and a 32 bit
 157    int.  */
 158
 159 typedef union
 160 {
 161   float value;
 162   uint32_t word;
 163 } ieee_float_shape_type;
 164
 165 /* Get a 32 bit int from a float.  */
 166 #ifndef GET_FLOAT_WORD
 167 # define GET_FLOAT_WORD(i,d)                                    \
 168 do {                                                            \
 169   ieee_float_shape_type gf_u;                                   \
 170   gf_u.value = (d);                                             \
 171   (i) = gf_u.word;                                              \
 172 } while (0)
 173 #endif
 174
 175 /* Set a float from a 32 bit int.  */
 176 #ifndef SET_FLOAT_WORD
 177 # define SET_FLOAT_WORD(d,i)                                    \
 178 do {                                                            \
 179   ieee_float_shape_type sf_u;                                   \
 180   sf_u.word = (i);                                              \
 181   (d) = sf_u.value;                                             \
 182 } while (0)
 183 #endif
 184
 185 /* We need to guarantee an expansion of name when building
 186    ldbl-128 files as another type (e.g _Float128).  */
 187 #define mathx_hidden_def(name) hidden_def(name)
 188
 189 /* Get long double macros from a separate header.  */
 190 #include <math_ldbl.h>
 191
 192 /* Include function declarations for each floating-point.  */
 193 #define _Mdouble_ double
 194 #define _MSUF_
 195 #include <math_private_calls.h>
 196 #undef _MSUF_
 197 #undef _Mdouble_
 198
 199 #define _Mdouble_ float
 200 #define _MSUF_ f
 201 #define __MATH_DECLARING_FLOAT
 202 #include <math_private_calls.h>
 203 #undef __MATH_DECLARING_FLOAT
 204 #undef _MSUF_
 205 #undef _Mdouble_
 206
 207 #define _Mdouble_ long double
 208 #define _MSUF_ l
 209 #define __MATH_DECLARING_LONG_DOUBLE
 210 #include <math_private_calls.h>
 211 #undef __MATH_DECLARING_LONG_DOUBLE
 212 #undef _MSUF_
 213 #undef _Mdouble_
 214
 215 #if __HAVE_DISTINCT_FLOAT128
 216 # define _Mdouble_ _Float128
 217 # define _MSUF_ f128
 218 # define __MATH_DECLARING_FLOATN
 219 # include <math_private_calls.h>
 220 # undef __MATH_DECLARING_FLOATN
 221 # undef _MSUF_
 222 # undef _Mdouble_
 223 #endif
 224
 225
 226
 227 /* Prototypes for functions of the IBM Accurate Mathematical Library.  */
 228 extern double __sin (double __x);
 229 extern double __cos (double __x);
 230 extern int __branred (double __x, double *__a, double *__aa);
 231 extern void __doasin (double __x, double __dx, double __v[]);
 232 extern void __dubsin (double __x, double __dx, double __v[]);
 233 extern void __dubcos (double __x, double __dx, double __v[]);
 234 extern double __sin32 (double __x, double __res, double __res1);
 235 extern double __cos32 (double __x, double __res, double __res1);
 236 extern double __mpsin (double __x, double __dx, bool __range_reduce);
 237 extern double __mpcos (double __x, double __dx, bool __range_reduce);
 238 extern void __docos (double __x, double __dx, double __v[]);
 239
 240 #endif /* _MATH_PRIVATE_H_ */