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 /* A union which permits us to convert between a long double and
 151    three 32 bit ints.  */
 152
 153 #if BYTE_ORDER == BIG_ENDIAN
 154
 155 typedef union
 156 {
 157   long double value;
 158   struct
 159   {
 160     unsigned int sign_exponent:16;
 161     unsigned int empty:16;
 162     u_int32_t msw;
 163     u_int32_t lsw;
 164   } parts;
 165 } ieee_long_double_shape_type;
 166
 167 #endif
 168
 169 #if BYTE_ORDER == LITTLE_ENDIAN
 170
 171 typedef union
 172 {
 173   long double value;
 174   struct
 175   {
 176     u_int32_t lsw;
 177     u_int32_t msw;
 178     unsigned int sign_exponent:16;
 179     unsigned int empty:16;
 180   } parts;
 181 } ieee_long_double_shape_type;
 182
 183 #endif
 184
 185 /* Get three 32 bit ints from a double.  */
 186
 187 #define GET_LDOUBLE_WORDS(exp,ix0,ix1,d)                        \
 188 do {                                                            \
 189   ieee_long_double_shape_type ew_u;                             \
 190   ew_u.value = (d);                                             \
 191   (exp) = ew_u.parts.sign_exponent;                             \
 192   (ix0) = ew_u.parts.msw;                                       \
 193   (ix1) = ew_u.parts.lsw;                                       \
 194 } while (0)
 195
 196 /* Set a double from two 32 bit ints.  */
 197
 198 #define SET_LDOUBLE_WORDS(d,exp,ix0,ix1)                        \
 199 do {                                                            \
 200   ieee_long_double_shape_type iw_u;                             \
 201   iw_u.parts.sign_exponent = (exp);                             \
 202   iw_u.parts.msw = (ix0);                                       \
 203   iw_u.parts.lsw = (ix1);                                       \
 204   (d) = iw_u.value;                                             \
 205 } while (0)
 206
 207 /* Set the more significant 32 bits of a long double mantissa from an int.  */
 208
 209 #define SET_LDOUBLE_MSW(d,v)                                    \
 210 do {                                                            \
 211   ieee_long_double_shape_type sh_u;                             \
 212   sh_u.value = (d);                                             \
 213   sh_u.parts.msw = (v);                                         \
 214   (d) = sh_u.value;                                             \
 215 } while (0)
 216
 217 /* Get int from the exponent of a long double.  */
 218
 219 #define GET_LDOUBLE_EXP(exp,d)                                  \
 220 do {                                                            \
 221   ieee_long_double_shape_type ge_u;                             \
 222   ge_u.value = (d);                                             \
 223   (exp) = ge_u.parts.sign_exponent;                             \
 224 } while (0)
 225
 226 /* Set exponent of a long double from an int.  */
 227
 228 #define SET_LDOUBLE_EXP(d,exp)                                  \
 229 do {                                                            \
 230   ieee_long_double_shape_type se_u;                             \
 231   se_u.value = (d);                                             \
 232   se_u.parts.sign_exponent = (exp);                             \
 233   (d) = se_u.value;                                             \
 234 } while (0)
 235
 236
 237 /* ieee style elementary functions */
 238 extern double __ieee754_sqrt __P((double));
 239 extern double __ieee754_acos __P((double));
 240 extern double __ieee754_acosh __P((double));
 241 extern double __ieee754_log __P((double));
 242 extern double __ieee754_atanh __P((double));
 243 extern double __ieee754_asin __P((double));
 244 extern double __ieee754_atan2 __P((double,double));
 245 extern double __ieee754_exp __P((double));
 246 extern double __ieee754_cosh __P((double));
 247 extern double __ieee754_fmod __P((double,double));
 248 extern double __ieee754_pow __P((double,double));
 249 extern double __ieee754_lgamma_r __P((double,int *));
 250 extern double __ieee754_gamma_r __P((double,int *));
 251 extern double __ieee754_lgamma __P((double));
 252 extern double __ieee754_gamma __P((double));
 253 extern double __ieee754_log10 __P((double));
 254 extern double __ieee754_sinh __P((double));
 255 extern double __ieee754_hypot __P((double,double));
 256 extern double __ieee754_j0 __P((double));
 257 extern double __ieee754_j1 __P((double));
 258 extern double __ieee754_y0 __P((double));
 259 extern double __ieee754_y1 __P((double));
 260 extern double __ieee754_jn __P((int,double));
 261 extern double __ieee754_yn __P((int,double));
 262 extern double __ieee754_remainder __P((double,double));
 263 extern int    __ieee754_rem_pio2 __P((double,double*));
 264 extern double __ieee754_scalb __P((double,double));
 265
 266 /* fdlibm kernel function */
 267 extern double __kernel_standard __P((double,double,int));
 268 extern double __kernel_sin __P((double,double,int));
 269 extern double __kernel_cos __P((double,double));
 270 extern double __kernel_tan __P((double,double,int));
 271 extern int    __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*));
 272
 273
 274 /* ieee style elementary float functions */
 275 extern float __ieee754_sqrtf __P((float));
 276 extern float __ieee754_acosf __P((float));
 277 extern float __ieee754_acoshf __P((float));
 278 extern float __ieee754_logf __P((float));
 279 extern float __ieee754_atanhf __P((float));
 280 extern float __ieee754_asinf __P((float));
 281 extern float __ieee754_atan2f __P((float,float));
 282 extern float __ieee754_expf __P((float));
 283 extern float __ieee754_coshf __P((float));
 284 extern float __ieee754_fmodf __P((float,float));
 285 extern float __ieee754_powf __P((float,float));
 286 extern float __ieee754_lgammaf_r __P((float,int *));
 287 extern float __ieee754_gammaf_r __P((float,int *));
 288 extern float __ieee754_lgammaf __P((float));
 289 extern float __ieee754_gammaf __P((float));
 290 extern float __ieee754_log10f __P((float));
 291 extern float __ieee754_sinhf __P((float));
 292 extern float __ieee754_hypotf __P((float,float));
 293 extern float __ieee754_j0f __P((float));
 294 extern float __ieee754_j1f __P((float));
 295 extern float __ieee754_y0f __P((float));
 296 extern float __ieee754_y1f __P((float));
 297 extern float __ieee754_jnf __P((int,float));
 298 extern float __ieee754_ynf __P((int,float));
 299 extern float __ieee754_remainderf __P((float,float));
 300 extern int   __ieee754_rem_pio2f __P((float,float*));
 301 extern float __ieee754_scalbf __P((float,float));
 302
 303 /* float versions of fdlibm kernel functions */
 304 extern float __kernel_sinf __P((float,float,int));
 305 extern float __kernel_cosf __P((float,float));
 306 extern float __kernel_tanf __P((float,float,int));
 307 extern int   __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*));
 308
 309
 310 /* ieee style elementary long double functions */
 311 extern long double __ieee754_sqrtl __P((long double));
 312 extern long double __ieee754_acosl __P((long double));
 313 extern long double __ieee754_acoshl __P((long double));
 314 extern long double __ieee754_logl __P((long double));
 315 extern long double __ieee754_atanhl __P((long double));
 316 extern long double __ieee754_asinl __P((long double));
 317 extern long double __ieee754_atan2l __P((long double,long double));
 318 extern long double __ieee754_expl __P((long double));
 319 extern long double __ieee754_coshl __P((long double));
 320 extern long double __ieee754_fmodl __P((long double,long double));
 321 extern long double __ieee754_powl __P((long double,long double));
 322 extern long double __ieee754_lgammal_r __P((long double,int *));
 323 extern long double __ieee754_gammal_r __P((long double,int *));
 324 extern long double __ieee754_lgammal __P((long double));
 325 extern long double __ieee754_gammal __P((long double));
 326 extern long double __ieee754_log10l __P((long double));
 327 extern long double __ieee754_sinhl __P((long double));
 328 extern long double __ieee754_hypotl __P((long double,long double));
 329 extern long double __ieee754_j0l __P((long double));
 330 extern long double __ieee754_j1l __P((long double));
 331 extern long double __ieee754_y0l __P((long double));
 332 extern long double __ieee754_y1l __P((long double));
 333 extern long double __ieee754_jnl __P((int,long double));
 334 extern long double __ieee754_ynl __P((int,long double));
 335 extern long double __ieee754_remainderl __P((long double,long double));
 336 extern int   __ieee754_rem_pio2l __P((long double,long double*));
 337 extern long double __ieee754_scalbl __P((long double,long double));
 338
 339 /* long double versions of fdlibm kernel functions */
 340 extern long double __kernel_sinl __P((long double,long double,int));
 341 extern long double __kernel_cosl __P((long double,long double));
 342 extern long double __kernel_tanl __P((long double,long double,int));
 343 extern int   __kernel_rem_pio2l __P((long double*,long double*,int,int,
 344                                      int,const int*));
 345
 346 #endif /* _MATH_PRIVATE_H_ */