libgcc/fp-bit.h

   1 /* Header file for fp-bit.c.  */
   2 /* Copyright (C) 2000-2023 Free Software Foundation, Inc.
   3
   4 This file is part of GCC.
   5
   6 GCC is free software; you can redistribute it and/or modify it under
   7 the terms of the GNU General Public License as published by the Free
   8 Software Foundation; either version 3, or (at your option) any later
   9 version.
  10
  11 GCC is distributed in the hope that it will be useful, but WITHOUT ANY
  12 WARRANTY; without even the implied warranty of MERCHANTABILITY or
  13 FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
  14 for more details.
  15
  16 Under Section 7 of GPL version 3, you are granted additional
  17 permissions described in the GCC Runtime Library Exception, version
  18 3.1, as published by the Free Software Foundation.
  19
  20 You should have received a copy of the GNU General Public License and
  21 a copy of the GCC Runtime Library Exception along with this program;
  22 see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
  23 <http://www.gnu.org/licenses/>.  */
  24
  25 #ifndef GCC_FP_BIT_H
  26 #define GCC_FP_BIT_H
  27
  28 /* Defining FINE_GRAINED_LIBRARIES allows one to select which routines
  29    from this file are compiled via additional -D options.
  30
  31    This avoids the need to pull in the entire fp emulation library
  32    when only a small number of functions are needed.
  33
  34    If FINE_GRAINED_LIBRARIES is not defined, then compile every
  35    suitable routine.  */
  36 #ifndef FINE_GRAINED_LIBRARIES
  37 #define L_pack_df
  38 #define L_unpack_df
  39 #define L_pack_sf
  40 #define L_unpack_sf
  41 #define L_addsub_sf
  42 #define L_addsub_df
  43 #define L_mul_sf
  44 #define L_mul_df
  45 #define L_div_sf
  46 #define L_div_df
  47 #define L_fpcmp_parts_sf
  48 #define L_fpcmp_parts_df
  49 #define L_compare_sf
  50 #define L_compare_df
  51 #define L_eq_sf
  52 #define L_eq_df
  53 #define L_ne_sf
  54 #define L_ne_df
  55 #define L_gt_sf
  56 #define L_gt_df
  57 #define L_ge_sf
  58 #define L_ge_df
  59 #define L_lt_sf
  60 #define L_lt_df
  61 #define L_le_sf
  62 #define L_le_df
  63 #define L_unord_sf
  64 #define L_unord_df
  65 #define L_usi_to_sf
  66 #define L_usi_to_df
  67 #define L_si_to_sf
  68 #define L_si_to_df
  69 #define L_sf_to_si
  70 #define L_df_to_si
  71 #define L_f_to_usi
  72 #define L_df_to_usi
  73 #define L_negate_sf
  74 #define L_negate_df
  75 #define L_make_sf
  76 #define L_make_df
  77 #define L_sf_to_df
  78 #define L_df_to_sf
  79 #ifdef FLOAT
  80 #define L_thenan_sf
  81 #else
  82 #define L_thenan_df
  83 #endif
  84 #endif /* ! FINE_GRAINED_LIBRARIES */
  85
  86 #if __LDBL_MANT_DIG__ == 113 || __LDBL_MANT_DIG__ == 106
  87 # if defined(TFLOAT) || defined(L_sf_to_tf) || defined(L_df_to_tf)
  88 #  define TMODES
  89 # endif
  90 #endif
  91
  92 typedef float SFtype __attribute__ ((mode (SF)));
  93 typedef float DFtype __attribute__ ((mode (DF)));
  94 #ifdef TMODES
  95 typedef float TFtype __attribute__ ((mode (TF)));
  96 #endif
  97
  98 typedef int HItype __attribute__ ((mode (HI)));
  99 typedef int SItype __attribute__ ((mode (SI)));
 100 typedef int DItype __attribute__ ((mode (DI)));
 101 #ifdef TMODES
 102 typedef int TItype __attribute__ ((mode (TI)));
 103 #endif
 104
 105 /* The type of the result of a floating point comparison.  This must
 106    match `__libgcc_cmp_return__' in GCC for the target.  */
 107 #ifndef CMPtype
 108 typedef int CMPtype __attribute__ ((mode (__libgcc_cmp_return__)));
 109 #endif
 110
 111 typedef unsigned int UHItype __attribute__ ((mode (HI)));
 112 typedef unsigned int USItype __attribute__ ((mode (SI)));
 113 typedef unsigned int UDItype __attribute__ ((mode (DI)));
 114 #ifdef TMODES
 115 typedef unsigned int UTItype __attribute__ ((mode (TI)));
 116 #endif
 117
 118 #define MAX_USI_INT  (~(USItype)0)
 119 #define MAX_SI_INT   ((SItype) (MAX_USI_INT >> 1))
 120 #define BITS_PER_SI  (4 * __CHAR_BIT__)
 121 #ifdef TMODES
 122 #define MAX_UDI_INT  (~(UDItype)0)
 123 #define MAX_DI_INT   ((DItype) (MAX_UDI_INT >> 1))
 124 #define BITS_PER_DI  (8 * __CHAR_BIT__)
 125 #endif
 126
 127 #ifdef FLOAT_ONLY
 128 #define NO_DI_MODE
 129 #endif
 130
 131 #if __BYTE_ORDER__ != __FLOAT_WORD_ORDER__
 132 #define FLOAT_WORD_ORDER_MISMATCH
 133 #endif
 134
 135 #ifdef TFLOAT
 136 # ifndef TMODES
 137 #  error "TFLOAT requires long double to have 113 bits of mantissa"
 138 # endif
 139
 140 #       define PREFIXFPDP tp
 141 #       define PREFIXSFDF tf
 142 #       define NGARDS 10L /* Is this right? */
 143 #       define GARDROUND 0x1ff
 144 #       define GARDMASK  0x3ff
 145 #       define GARDMSB   0x200
 146 #       define FRAC_NBITS 128
 147
 148 # if __LDBL_MANT_DIG__ == 113 /* IEEE quad */
 149 #       define EXPBITS 15
 150 #       define EXPBIAS 16383
 151 #       define EXPMAX (0x7fff)
 152 #       define QUIET_NAN ((TItype)0x8 << 108)
 153 #       define FRACHIGH  ((TItype)0x8 << 124)
 154 #       define FRACHIGH2 ((TItype)0xc << 124)
 155 #       define FRACBITS 112
 156 # endif
 157
 158 # if __LDBL_MANT_DIG__ == 106 /* IBM extended (double+double) */
 159 #       define EXPBITS 11
 160 #       define EXPBIAS 1023
 161 #       define EXPMAX (0x7ff)
 162 #       define QUIET_NAN ((TItype)0x8 << (48 + 64))
 163 #       define FRACHIGH  ((TItype)0x8 << 124)
 164 #       define FRACHIGH2 ((TItype)0xc << 124)
 165 #       define FRACBITS 105
 166 #       define HALFFRACBITS 52
 167 #       define HALFSHIFT 64
 168 # endif
 169
 170 #       define pack_d __pack_t
 171 #       define unpack_d __unpack_t
 172 #       define __fpcmp_parts __fpcmp_parts_t
 173         typedef UTItype fractype;
 174         typedef UDItype halffractype;
 175         typedef USItype qrtrfractype;
 176 #define qrtrfractype qrtrfractype
 177         typedef TFtype FLO_type;
 178         typedef TItype intfrac;
 179 #elif defined FLOAT
 180 #       define NGARDS    7L
 181 #       define GARDROUND 0x3f
 182 #       define GARDMASK  0x7f
 183 #       define GARDMSB   0x40
 184 #       define EXPBITS 8
 185 #       define EXPBIAS 127
 186 #       define FRACBITS 23
 187 #       define EXPMAX (0xff)
 188 #       define QUIET_NAN 0x400000L
 189 #       define FRAC_NBITS 32
 190 #       define FRACHIGH  0x80000000L
 191 #       define FRACHIGH2 0xc0000000L
 192 #       define pack_d __pack_f
 193 #       define unpack_d __unpack_f
 194 #       define __fpcmp_parts __fpcmp_parts_f
 195         typedef USItype fractype;
 196         typedef UHItype halffractype;
 197         typedef SFtype FLO_type;
 198         typedef SItype intfrac;
 199
 200 #else
 201 #       define PREFIXFPDP dp
 202 #       define PREFIXSFDF df
 203 #       define NGARDS 8L
 204 #       define GARDROUND 0x7f
 205 #       define GARDMASK  0xff
 206 #       define GARDMSB   0x80
 207 #       define EXPBITS 11
 208 #       define EXPBIAS 1023
 209 #       define FRACBITS 52
 210 #       define EXPMAX (0x7ff)
 211 #       define QUIET_NAN 0x8000000000000LL
 212 #       define FRAC_NBITS 64
 213 #       define FRACHIGH  0x8000000000000000LL
 214 #       define FRACHIGH2 0xc000000000000000LL
 215 #       define pack_d __pack_d
 216 #       define unpack_d __unpack_d
 217 #       define __fpcmp_parts __fpcmp_parts_d
 218         typedef UDItype fractype;
 219         typedef USItype halffractype;
 220         typedef DFtype FLO_type;
 221         typedef DItype intfrac;
 222 #endif /* FLOAT */
 223
 224 #ifdef TFLOAT
 225 #       define add              __addtf3
 226 #       define sub              __subtf3
 227 #       define multiply         __multf3
 228 #       define divide           __divtf3
 229 #       define compare          __cmptf2
 230 #       define _eq_f2           __eqtf2
 231 #       define _ne_f2           __netf2
 232 #       define _gt_f2           __gttf2
 233 #       define _ge_f2           __getf2
 234 #       define _lt_f2           __lttf2
 235 #       define _le_f2           __letf2
 236 #       define _unord_f2        __unordtf2
 237 #       define usi_to_float     __floatunsitf
 238 #       define si_to_float      __floatsitf
 239 #       define float_to_si      __fixtfsi
 240 #       define float_to_usi     __fixunstfsi
 241 #       define negate           __negtf2
 242 #       define tf_to_sf         __trunctfsf2
 243 #       define tf_to_df         __trunctfdf2
 244 #elif defined FLOAT
 245 #       define add              __addsf3
 246 #       define sub              __subsf3
 247 #       define multiply         __mulsf3
 248 #       define divide           __divsf3
 249 #       define compare          __cmpsf2
 250 #       define _eq_f2           __eqsf2
 251 #       define _ne_f2           __nesf2
 252 #       define _gt_f2           __gtsf2
 253 #       define _ge_f2           __gesf2
 254 #       define _lt_f2           __ltsf2
 255 #       define _le_f2           __lesf2
 256 #       define _unord_f2        __unordsf2
 257 #       define usi_to_float     __floatunsisf
 258 #       define si_to_float      __floatsisf
 259 #       define float_to_si      __fixsfsi
 260 #       define float_to_usi     __fixunssfsi
 261 #       define negate           __negsf2
 262 #       define sf_to_df         __extendsfdf2
 263 #       define sf_to_tf         __extendsftf2
 264 #else
 265 #       define add              __adddf3
 266 #       define sub              __subdf3
 267 #       define multiply         __muldf3
 268 #       define divide           __divdf3
 269 #       define compare          __cmpdf2
 270 #       define _eq_f2           __eqdf2
 271 #       define _ne_f2           __nedf2
 272 #       define _gt_f2           __gtdf2
 273 #       define _ge_f2           __gedf2
 274 #       define _lt_f2           __ltdf2
 275 #       define _le_f2           __ledf2
 276 #       define _unord_f2        __unorddf2
 277 #       define usi_to_float     __floatunsidf
 278 #       define si_to_float      __floatsidf
 279 #       define float_to_si      __fixdfsi
 280 #       define float_to_usi     __fixunsdfsi
 281 #       define negate           __negdf2
 282 #       define df_to_sf         __truncdfsf2
 283 #       define df_to_tf         __extenddftf2
 284 #endif /* FLOAT */
 285
 286 #ifndef INLINE
 287 #define INLINE __inline__
 288 #endif
 289
 290 /* Preserve the sticky-bit when shifting fractions to the right.  */
 291 #define LSHIFT(a, s) { a = (a >> s) | !!(a & (((fractype) 1 << s) - 1)); }
 292
 293 /* numeric parameters */
 294 /* F_D_BITOFF is the number of bits offset between the MSB of the mantissa
 295    of a float and of a double. Assumes there are only two float types.
 296    (double::FRAC_BITS+double::NGARDS-(float::FRAC_BITS+float::NGARDS))
 297  */
 298 #define F_D_BITOFF (52+8-(23+7))
 299
 300 #ifdef TMODES
 301 # define F_T_BITOFF (__LDBL_MANT_DIG__-1+10-(23+7))
 302 # define D_T_BITOFF (__LDBL_MANT_DIG__-1+10-(52+8))
 303 #endif
 304
 305
 306 #define NORMAL_EXPMIN (-(EXPBIAS)+1)
 307 #define IMPLICIT_1 ((fractype)1<<(FRACBITS+NGARDS))
 308 #define IMPLICIT_2 ((fractype)1<<(FRACBITS+1+NGARDS))
 309
 310 /* common types */
 311
 312 typedef enum
 313 {
 314   CLASS_SNAN,
 315   CLASS_QNAN,
 316   CLASS_ZERO,
 317   CLASS_NUMBER,
 318   CLASS_INFINITY
 319 } fp_class_type;
 320
 321 typedef struct
 322 {
 323 #ifdef SMALL_MACHINE
 324   char class;
 325   unsigned char sign;
 326   short normal_exp;
 327 #else
 328   fp_class_type class;
 329   unsigned int sign;
 330   int normal_exp;
 331 #endif
 332
 333   union
 334     {
 335       fractype ll;
 336       halffractype l[2];
 337     } fraction;
 338 } fp_number_type;
 339
 340 typedef union
 341 {
 342   FLO_type value;
 343   fractype value_raw;
 344
 345 #ifndef FLOAT
 346 # ifdef qrtrfractype
 347   qrtrfractype qwords[4];
 348 # else
 349   halffractype words[2];
 350 # endif
 351 #endif
 352
 353 #ifdef _DEBUG_BITFLOAT
 354   struct
 355     {
 356       unsigned int sign:1 __attribute__ ((packed));
 357       unsigned int exp:EXPBITS __attribute__ ((packed));
 358       fractype fraction:FRACBITS __attribute__ ((packed));
 359     }
 360   bits_big_endian;
 361
 362   struct
 363     {
 364       fractype fraction:FRACBITS __attribute__ ((packed));
 365       unsigned int exp:EXPBITS __attribute__ ((packed));
 366       unsigned int sign:1 __attribute__ ((packed));
 367     }
 368   bits_little_endian;
 369 #endif
 370 }
 371 FLO_union_type;
 372
 373 /* Prototypes.  */
 374
 375 #if defined(L_pack_df) || defined(L_pack_sf) || defined(L_pack_tf)
 376 extern FLO_type pack_d (const fp_number_type *);
 377 #endif
 378
 379 extern void unpack_d (FLO_union_type *, fp_number_type *);
 380
 381 #if defined(L_addsub_sf) || defined(L_addsub_df) || defined(L_addsub_tf)
 382 extern FLO_type add (FLO_type, FLO_type);
 383 extern FLO_type sub (FLO_type, FLO_type);
 384 #endif
 385
 386 #if defined(L_mul_sf) || defined(L_mul_df) || defined(L_mul_tf)
 387 extern FLO_type multiply (FLO_type, FLO_type);
 388 #endif
 389
 390 #if defined(L_div_sf) || defined(L_div_df) || defined(L_div_tf)
 391 extern FLO_type divide (FLO_type, FLO_type);
 392 #endif
 393
 394 extern int __fpcmp_parts (fp_number_type *, fp_number_type *);
 395
 396 #if defined(L_compare_sf) || defined(L_compare_df) || defined(L_compare_tf)
 397 extern CMPtype compare (FLO_type, FLO_type);
 398 #endif
 399
 400 #if defined(L_eq_sf) || defined(L_eq_df) || defined(L_eq_tf)
 401 extern CMPtype _eq_f2 (FLO_type, FLO_type);
 402 #endif
 403
 404 #if defined(L_ne_sf) || defined(L_ne_df) || defined(L_ne_tf)
 405 extern CMPtype _ne_f2 (FLO_type, FLO_type);
 406 #endif
 407
 408 #if defined(L_gt_sf) || defined(L_gt_df) || defined(L_gt_tf)
 409 extern CMPtype _gt_f2 (FLO_type, FLO_type);
 410 #endif
 411
 412 #if defined(L_ge_sf) || defined(L_ge_df) || defined(L_ge_tf)
 413 extern CMPtype _ge_f2 (FLO_type, FLO_type);
 414 #endif
 415
 416 #if defined(L_lt_sf) || defined(L_lt_df) || defined(L_lt_tf)
 417 extern CMPtype _lt_f2 (FLO_type, FLO_type);
 418 #endif
 419
 420 #if defined(L_le_sf) || defined(L_le_df) || defined(L_le_tf)
 421 extern CMPtype _le_f2 (FLO_type, FLO_type);
 422 #endif
 423
 424 #if defined(L_unord_sf) || defined(L_unord_df) || defined(L_unord_tf)
 425 extern CMPtype _unord_f2 (FLO_type, FLO_type);
 426 #endif
 427
 428 #if defined(L_si_to_sf) || defined(L_si_to_df) || defined(L_si_to_tf)
 429 extern FLO_type si_to_float (SItype);
 430 #endif
 431
 432 #if defined(L_sf_to_si) || defined(L_df_to_si) || defined(L_tf_to_si)
 433 extern SItype float_to_si (FLO_type);
 434 #endif
 435
 436 #if defined(L_tf_to_usi)
 437 extern USItype float_to_usi (FLO_type);
 438 #endif
 439
 440 #if defined(L_usi_to_sf) || defined(L_usi_to_df) || defined(L_usi_to_tf)
 441 extern FLO_type usi_to_float (USItype);
 442 #endif
 443
 444 #if defined(L_negate_sf) || defined(L_negate_df) || defined(L_negate_tf)
 445 extern FLO_type negate (FLO_type);
 446 #endif
 447
 448 #ifdef FLOAT
 449 #if defined(L_make_sf)
 450 extern SFtype __make_fp (fp_class_type, unsigned int, int, USItype);
 451 #endif
 452 #ifndef FLOAT_ONLY
 453 extern DFtype __make_dp (fp_class_type, unsigned int, int, UDItype);
 454 #if defined(L_sf_to_df)
 455 extern DFtype sf_to_df (SFtype);
 456 #endif
 457 #if defined(L_sf_to_tf) && defined(TMODES)
 458 extern TFtype sf_to_tf (SFtype);
 459 #endif
 460 #endif /* ! FLOAT_ONLY */
 461 #endif /* FLOAT */
 462
 463 #ifndef FLOAT
 464 extern SFtype __make_fp (fp_class_type, unsigned int, int, USItype);
 465 #if defined(L_make_df)
 466 extern DFtype __make_dp (fp_class_type, unsigned int, int, UDItype);
 467 #endif
 468 #if defined(L_df_to_sf)
 469 extern SFtype df_to_sf (DFtype);
 470 #endif
 471 #if defined(L_df_to_tf) && defined(TMODES)
 472 extern TFtype df_to_tf (DFtype);
 473 #endif
 474 #endif /* ! FLOAT */
 475
 476 #ifdef TMODES
 477 extern DFtype __make_dp (fp_class_type, unsigned int, int, UDItype);
 478 extern TFtype __make_tp (fp_class_type, unsigned int, int, UTItype);
 479 #ifdef TFLOAT
 480 #if defined(L_tf_to_sf)
 481 extern SFtype tf_to_sf (TFtype);
 482 #endif
 483 #if defined(L_tf_to_df)
 484 extern DFtype tf_to_df (TFtype);
 485 #endif
 486 #if defined(L_di_to_tf)
 487 extern TFtype di_to_df (DItype);
 488 #endif
 489 #endif /* TFLOAT */
 490 #endif /* TMODES */
 491
 492 #endif /* ! GCC_FP_BIT_H */