soft-fp/quad.h

   1 /* Software floating-point emulation.
   2    Definitions for IEEE Quad Precision.
   3    Copyright (C) 1997-2015 Free Software Foundation, Inc.
   4    This file is part of the GNU C Library.
   5    Contributed by Richard Henderson (rth@cygnus.com),
   6                   Jakub Jelinek (jj@ultra.linux.cz),
   7                   David S. Miller (davem@redhat.com) and
   8                   Peter Maydell (pmaydell@chiark.greenend.org.uk).
   9
  10    The GNU C Library is free software; you can redistribute it and/or
  11    modify it under the terms of the GNU Lesser General Public
  12    License as published by the Free Software Foundation; either
  13    version 2.1 of the License, or (at your option) any later version.
  14
  15    In addition to the permissions in the GNU Lesser General Public
  16    License, the Free Software Foundation gives you unlimited
  17    permission to link the compiled version of this file into
  18    combinations with other programs, and to distribute those
  19    combinations without any restriction coming from the use of this
  20    file.  (The Lesser General Public License restrictions do apply in
  21    other respects; for example, they cover modification of the file,
  22    and distribution when not linked into a combine executable.)
  23
  24    The GNU C Library is distributed in the hope that it will be useful,
  25    but WITHOUT ANY WARRANTY; without even the implied warranty of
  26    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  27    Lesser General Public License for more details.
  28
  29    You should have received a copy of the GNU Lesser General Public
  30    License along with the GNU C Library; if not, see
  31    <http://www.gnu.org/licenses/>.  */
  32
  33 #if _FP_W_TYPE_SIZE < 32
  34 # error "Here's a nickel, kid. Go buy yourself a real computer."
  35 #endif
  36
  37 #if _FP_W_TYPE_SIZE < 64
  38 # define _FP_FRACTBITS_Q        (4*_FP_W_TYPE_SIZE)
  39 # define _FP_FRACTBITS_DW_Q     (8*_FP_W_TYPE_SIZE)
  40 #else
  41 # define _FP_FRACTBITS_Q                (2*_FP_W_TYPE_SIZE)
  42 # define _FP_FRACTBITS_DW_Q     (4*_FP_W_TYPE_SIZE)
  43 #endif
  44
  45 #define _FP_FRACBITS_Q          113
  46 #define _FP_FRACXBITS_Q         (_FP_FRACTBITS_Q - _FP_FRACBITS_Q)
  47 #define _FP_WFRACBITS_Q         (_FP_WORKBITS + _FP_FRACBITS_Q)
  48 #define _FP_WFRACXBITS_Q        (_FP_FRACTBITS_Q - _FP_WFRACBITS_Q)
  49 #define _FP_EXPBITS_Q           15
  50 #define _FP_EXPBIAS_Q           16383
  51 #define _FP_EXPMAX_Q            32767
  52
  53 #define _FP_QNANBIT_Q           \
  54         ((_FP_W_TYPE) 1 << (_FP_FRACBITS_Q-2) % _FP_W_TYPE_SIZE)
  55 #define _FP_QNANBIT_SH_Q                \
  56         ((_FP_W_TYPE) 1 << (_FP_FRACBITS_Q-2+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
  57 #define _FP_IMPLBIT_Q           \
  58         ((_FP_W_TYPE) 1 << (_FP_FRACBITS_Q-1) % _FP_W_TYPE_SIZE)
  59 #define _FP_IMPLBIT_SH_Q                \
  60         ((_FP_W_TYPE) 1 << (_FP_FRACBITS_Q-1+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
  61 #define _FP_OVERFLOW_Q          \
  62         ((_FP_W_TYPE) 1 << (_FP_WFRACBITS_Q % _FP_W_TYPE_SIZE))
  63
  64 #define _FP_WFRACBITS_DW_Q      (2 * _FP_WFRACBITS_Q)
  65 #define _FP_WFRACXBITS_DW_Q     (_FP_FRACTBITS_DW_Q - _FP_WFRACBITS_DW_Q)
  66 #define _FP_HIGHBIT_DW_Q        \
  67   ((_FP_W_TYPE) 1 << (_FP_WFRACBITS_DW_Q - 1) % _FP_W_TYPE_SIZE)
  68
  69 typedef float TFtype __attribute__ ((mode (TF)));
  70
  71 #if _FP_W_TYPE_SIZE < 64
  72
  73 union _FP_UNION_Q
  74 {
  75   TFtype flt;
  76   struct _FP_STRUCT_LAYOUT
  77   {
  78 # if __BYTE_ORDER == __BIG_ENDIAN
  79     unsigned sign : 1;
  80     unsigned exp : _FP_EXPBITS_Q;
  81     unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3);
  82     unsigned long frac2 : _FP_W_TYPE_SIZE;
  83     unsigned long frac1 : _FP_W_TYPE_SIZE;
  84     unsigned long frac0 : _FP_W_TYPE_SIZE;
  85 # else
  86     unsigned long frac0 : _FP_W_TYPE_SIZE;
  87     unsigned long frac1 : _FP_W_TYPE_SIZE;
  88     unsigned long frac2 : _FP_W_TYPE_SIZE;
  89     unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3);
  90     unsigned exp : _FP_EXPBITS_Q;
  91     unsigned sign : 1;
  92 # endif /* not bigendian */
  93   } bits __attribute__ ((packed));
  94 };
  95
  96
  97 # define FP_DECL_Q(X)           _FP_DECL (4, X)
  98 # define FP_UNPACK_RAW_Q(X, val)        _FP_UNPACK_RAW_4 (Q, X, (val))
  99 # define FP_UNPACK_RAW_QP(X, val)       _FP_UNPACK_RAW_4_P (Q, X, (val))
 100 # define FP_PACK_RAW_Q(val, X)  _FP_PACK_RAW_4 (Q, (val), X)
 101 # define FP_PACK_RAW_QP(val, X)                 \
 102   do                                            \
 103     {                                           \
 104       if (!FP_INHIBIT_RESULTS)                  \
 105         _FP_PACK_RAW_4_P (Q, (val), X);         \
 106     }                                           \
 107   while (0)
 108
 109 # define FP_UNPACK_Q(X, val)                    \
 110   do                                            \
 111     {                                           \
 112       _FP_UNPACK_RAW_4 (Q, X, (val));           \
 113       _FP_UNPACK_CANONICAL (Q, 4, X);           \
 114     }                                           \
 115   while (0)
 116
 117 # define FP_UNPACK_QP(X, val)                   \
 118   do                                            \
 119     {                                           \
 120       _FP_UNPACK_RAW_4_P (Q, X, (val));         \
 121       _FP_UNPACK_CANONICAL (Q, 4, X);           \
 122     }                                           \
 123   while (0)
 124
 125 # define FP_UNPACK_SEMIRAW_Q(X, val)            \
 126   do                                            \
 127     {                                           \
 128       _FP_UNPACK_RAW_4 (Q, X, (val));           \
 129       _FP_UNPACK_SEMIRAW (Q, 4, X);             \
 130     }                                           \
 131   while (0)
 132
 133 # define FP_UNPACK_SEMIRAW_QP(X, val)           \
 134   do                                            \
 135     {                                           \
 136       _FP_UNPACK_RAW_4_P (Q, X, (val));         \
 137       _FP_UNPACK_SEMIRAW (Q, 4, X);             \
 138     }                                           \
 139   while (0)
 140
 141 # define FP_PACK_Q(val, X)                      \
 142   do                                            \
 143     {                                           \
 144       _FP_PACK_CANONICAL (Q, 4, X);             \
 145       _FP_PACK_RAW_4 (Q, (val), X);             \
 146     }                                           \
 147   while (0)
 148
 149 # define FP_PACK_QP(val, X)                     \
 150   do                                            \
 151     {                                           \
 152       _FP_PACK_CANONICAL (Q, 4, X);             \
 153       if (!FP_INHIBIT_RESULTS)                  \
 154         _FP_PACK_RAW_4_P (Q, (val), X);         \
 155     }                                           \
 156   while (0)
 157
 158 # define FP_PACK_SEMIRAW_Q(val, X)              \
 159   do                                            \
 160     {                                           \
 161       _FP_PACK_SEMIRAW (Q, 4, X);               \
 162       _FP_PACK_RAW_4 (Q, (val), X);             \
 163     }                                           \
 164   while (0)
 165
 166 # define FP_PACK_SEMIRAW_QP(val, X)             \
 167   do                                            \
 168     {                                           \
 169       _FP_PACK_SEMIRAW (Q, 4, X);               \
 170       if (!FP_INHIBIT_RESULTS)                  \
 171         _FP_PACK_RAW_4_P (Q, (val), X);         \
 172     }                                           \
 173   while (0)
 174
 175 # define FP_ISSIGNAN_Q(X)               _FP_ISSIGNAN (Q, 4, X)
 176 # define FP_NEG_Q(R, X)                 _FP_NEG (Q, 4, R, X)
 177 # define FP_ADD_Q(R, X, Y)              _FP_ADD (Q, 4, R, X, Y)
 178 # define FP_SUB_Q(R, X, Y)              _FP_SUB (Q, 4, R, X, Y)
 179 # define FP_MUL_Q(R, X, Y)              _FP_MUL (Q, 4, R, X, Y)
 180 # define FP_DIV_Q(R, X, Y)              _FP_DIV (Q, 4, R, X, Y)
 181 # define FP_SQRT_Q(R, X)                _FP_SQRT (Q, 4, R, X)
 182 # define _FP_SQRT_MEAT_Q(R, S, T, X, Q) _FP_SQRT_MEAT_4 (R, S, T, X, (Q))
 183 # define FP_FMA_Q(R, X, Y, Z)           _FP_FMA (Q, 4, 8, R, X, Y, Z)
 184
 185 # define FP_CMP_Q(r, X, Y, un, ex)      _FP_CMP (Q, 4, (r), X, Y, (un), (ex))
 186 # define FP_CMP_EQ_Q(r, X, Y, ex)       _FP_CMP_EQ (Q, 4, (r), X, Y, (ex))
 187 # define FP_CMP_UNORD_Q(r, X, Y, ex)    _FP_CMP_UNORD (Q, 4, (r), X, Y, (ex))
 188
 189 # define FP_TO_INT_Q(r, X, rsz, rsg)    _FP_TO_INT (Q, 4, (r), X, (rsz), (rsg))
 190 # define FP_TO_INT_ROUND_Q(r, X, rsz, rsg)      \
 191   _FP_TO_INT_ROUND (Q, 4, (r), X, (rsz), (rsg))
 192 # define FP_FROM_INT_Q(X, r, rs, rt)    _FP_FROM_INT (Q, 4, X, (r), (rs), rt)
 193
 194 # define _FP_FRAC_HIGH_Q(X)     _FP_FRAC_HIGH_4 (X)
 195 # define _FP_FRAC_HIGH_RAW_Q(X) _FP_FRAC_HIGH_4 (X)
 196
 197 # define _FP_FRAC_HIGH_DW_Q(X)  _FP_FRAC_HIGH_8 (X)
 198
 199 #else   /* not _FP_W_TYPE_SIZE < 64 */
 200 union _FP_UNION_Q
 201 {
 202   TFtype flt /* __attribute__ ((mode (TF))) */ ;
 203   struct _FP_STRUCT_LAYOUT
 204   {
 205     _FP_W_TYPE a, b;
 206   } longs;
 207   struct _FP_STRUCT_LAYOUT
 208   {
 209 # if __BYTE_ORDER == __BIG_ENDIAN
 210     unsigned sign    : 1;
 211     unsigned exp     : _FP_EXPBITS_Q;
 212     _FP_W_TYPE frac1 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0) - _FP_W_TYPE_SIZE;
 213     _FP_W_TYPE frac0 : _FP_W_TYPE_SIZE;
 214 # else
 215     _FP_W_TYPE frac0 : _FP_W_TYPE_SIZE;
 216     _FP_W_TYPE frac1 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0) - _FP_W_TYPE_SIZE;
 217     unsigned exp     : _FP_EXPBITS_Q;
 218     unsigned sign    : 1;
 219 # endif
 220   } bits;
 221 };
 222
 223 # define FP_DECL_Q(X)           _FP_DECL (2, X)
 224 # define FP_UNPACK_RAW_Q(X, val)        _FP_UNPACK_RAW_2 (Q, X, (val))
 225 # define FP_UNPACK_RAW_QP(X, val)       _FP_UNPACK_RAW_2_P (Q, X, (val))
 226 # define FP_PACK_RAW_Q(val, X)  _FP_PACK_RAW_2 (Q, (val), X)
 227 # define FP_PACK_RAW_QP(val, X)                 \
 228   do                                            \
 229     {                                           \
 230       if (!FP_INHIBIT_RESULTS)                  \
 231         _FP_PACK_RAW_2_P (Q, (val), X);         \
 232     }                                           \
 233   while (0)
 234
 235 # define FP_UNPACK_Q(X, val)                    \
 236   do                                            \
 237     {                                           \
 238       _FP_UNPACK_RAW_2 (Q, X, (val));           \
 239       _FP_UNPACK_CANONICAL (Q, 2, X);           \
 240     }                                           \
 241   while (0)
 242
 243 # define FP_UNPACK_QP(X, val)                   \
 244   do                                            \
 245     {                                           \
 246       _FP_UNPACK_RAW_2_P (Q, X, (val));         \
 247       _FP_UNPACK_CANONICAL (Q, 2, X);           \
 248     }                                           \
 249   while (0)
 250
 251 # define FP_UNPACK_SEMIRAW_Q(X, val)            \
 252   do                                            \
 253     {                                           \
 254       _FP_UNPACK_RAW_2 (Q, X, (val));           \
 255       _FP_UNPACK_SEMIRAW (Q, 2, X);             \
 256     }                                           \
 257   while (0)
 258
 259 # define FP_UNPACK_SEMIRAW_QP(X, val)           \
 260   do                                            \
 261     {                                           \
 262       _FP_UNPACK_RAW_2_P (Q, X, (val));         \
 263       _FP_UNPACK_SEMIRAW (Q, 2, X);             \
 264     }                                           \
 265   while (0)
 266
 267 # define FP_PACK_Q(val, X)                      \
 268   do                                            \
 269     {                                           \
 270       _FP_PACK_CANONICAL (Q, 2, X);             \
 271       _FP_PACK_RAW_2 (Q, (val), X);             \
 272     }                                           \
 273   while (0)
 274
 275 # define FP_PACK_QP(val, X)                     \
 276   do                                            \
 277     {                                           \
 278       _FP_PACK_CANONICAL (Q, 2, X);             \
 279       if (!FP_INHIBIT_RESULTS)                  \
 280         _FP_PACK_RAW_2_P (Q, (val), X);         \
 281     }                                           \
 282   while (0)
 283
 284 # define FP_PACK_SEMIRAW_Q(val, X)              \
 285   do                                            \
 286     {                                           \
 287       _FP_PACK_SEMIRAW (Q, 2, X);               \
 288       _FP_PACK_RAW_2 (Q, (val), X);             \
 289     }                                           \
 290   while (0)
 291
 292 # define FP_PACK_SEMIRAW_QP(val, X)             \
 293   do                                            \
 294     {                                           \
 295       _FP_PACK_SEMIRAW (Q, 2, X);               \
 296       if (!FP_INHIBIT_RESULTS)                  \
 297         _FP_PACK_RAW_2_P (Q, (val), X);         \
 298     }                                           \
 299   while (0)
 300
 301 # define FP_ISSIGNAN_Q(X)               _FP_ISSIGNAN (Q, 2, X)
 302 # define FP_NEG_Q(R, X)                 _FP_NEG (Q, 2, R, X)
 303 # define FP_ADD_Q(R, X, Y)              _FP_ADD (Q, 2, R, X, Y)
 304 # define FP_SUB_Q(R, X, Y)              _FP_SUB (Q, 2, R, X, Y)
 305 # define FP_MUL_Q(R, X, Y)              _FP_MUL (Q, 2, R, X, Y)
 306 # define FP_DIV_Q(R, X, Y)              _FP_DIV (Q, 2, R, X, Y)
 307 # define FP_SQRT_Q(R, X)                _FP_SQRT (Q, 2, R, X)
 308 # define _FP_SQRT_MEAT_Q(R, S, T, X, Q) _FP_SQRT_MEAT_2 (R, S, T, X, (Q))
 309 # define FP_FMA_Q(R, X, Y, Z)           _FP_FMA (Q, 2, 4, R, X, Y, Z)
 310
 311 # define FP_CMP_Q(r, X, Y, un, ex)      _FP_CMP (Q, 2, (r), X, Y, (un), (ex))
 312 # define FP_CMP_EQ_Q(r, X, Y, ex)       _FP_CMP_EQ (Q, 2, (r), X, Y, (ex))
 313 # define FP_CMP_UNORD_Q(r, X, Y, ex)    _FP_CMP_UNORD (Q, 2, (r), X, Y, (ex))
 314
 315 # define FP_TO_INT_Q(r, X, rsz, rsg)    _FP_TO_INT (Q, 2, (r), X, (rsz), (rsg))
 316 # define FP_TO_INT_ROUND_Q(r, X, rsz, rsg)      \
 317   _FP_TO_INT_ROUND (Q, 2, (r), X, (rsz), (rsg))
 318 # define FP_FROM_INT_Q(X, r, rs, rt)    _FP_FROM_INT (Q, 2, X, (r), (rs), rt)
 319
 320 # define _FP_FRAC_HIGH_Q(X)     _FP_FRAC_HIGH_2 (X)
 321 # define _FP_FRAC_HIGH_RAW_Q(X) _FP_FRAC_HIGH_2 (X)
 322
 323 # define _FP_FRAC_HIGH_DW_Q(X)  _FP_FRAC_HIGH_4 (X)
 324
 325 #endif /* not _FP_W_TYPE_SIZE < 64 */