include/fpu/softfloat.h

   1 /*
   2  * QEMU float support
   3  *
   4  * The code in this source file is derived from release 2a of the SoftFloat
   5  * IEC/IEEE Floating-point Arithmetic Package. Those parts of the code (and
   6  * some later contributions) are provided under that license, as detailed below.
   7  * It has subsequently been modified by contributors to the QEMU Project,
   8  * so some portions are provided under:
   9  *  the SoftFloat-2a license
  10  *  the BSD license
  11  *  GPL-v2-or-later
  12  *
  13  * Any future contributions to this file after December 1st 2014 will be
  14  * taken to be licensed under the Softfloat-2a license unless specifically
  15  * indicated otherwise.
  16  */
  17
  18 /*
  19 ===============================================================================
  20 This C header file is part of the SoftFloat IEC/IEEE Floating-point
  21 Arithmetic Package, Release 2a.
  22
  23 Written by John R. Hauser.  This work was made possible in part by the
  24 International Computer Science Institute, located at Suite 600, 1947 Center
  25 Street, Berkeley, California 94704.  Funding was partially provided by the
  26 National Science Foundation under grant MIP-9311980.  The original version
  27 of this code was written as part of a project to build a fixed-point vector
  28 processor in collaboration with the University of California at Berkeley,
  29 overseen by Profs. Nelson Morgan and John Wawrzynek.  More information
  30 is available through the Web page `http://HTTP.CS.Berkeley.EDU/~jhauser/
  31 arithmetic/SoftFloat.html'.
  32
  33 THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE.  Although reasonable effort
  34 has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT
  35 TIMES RESULT IN INCORRECT BEHAVIOR.  USE OF THIS SOFTWARE IS RESTRICTED TO
  36 PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY
  37 AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE.
  38
  39 Derivative works are acceptable, even for commercial purposes, so long as
  40 (1) they include prominent notice that the work is derivative, and (2) they
  41 include prominent notice akin to these four paragraphs for those parts of
  42 this code that are retained.
  43
  44 ===============================================================================
  45 */
  46
  47 /* BSD licensing:
  48  * Copyright (c) 2006, Fabrice Bellard
  49  * All rights reserved.
  50  *
  51  * Redistribution and use in source and binary forms, with or without
  52  * modification, are permitted provided that the following conditions are met:
  53  *
  54  * 1. Redistributions of source code must retain the above copyright notice,
  55  * this list of conditions and the following disclaimer.
  56  *
  57  * 2. Redistributions in binary form must reproduce the above copyright notice,
  58  * this list of conditions and the following disclaimer in the documentation
  59  * and/or other materials provided with the distribution.
  60  *
  61  * 3. Neither the name of the copyright holder nor the names of its contributors
  62  * may be used to endorse or promote products derived from this software without
  63  * specific prior written permission.
  64  *
  65  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
  66  * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  67  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
  68  * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
  69  * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
  70  * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
  71  * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
  72  * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
  73  * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
  74  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
  75  * THE POSSIBILITY OF SUCH DAMAGE.
  76  */
  77
  78 /* Portions of this work are licensed under the terms of the GNU GPL,
  79  * version 2 or later. See the COPYING file in the top-level directory.
  80  */
  81
  82 #ifndef SOFTFLOAT_H
  83 #define SOFTFLOAT_H
  84
  85 #if defined(CONFIG_SOLARIS) && defined(CONFIG_NEEDS_LIBSUNMATH)
  86 #include <sunmath.h>
  87 #endif
  88
  89
  90 /* This 'flag' type must be able to hold at least 0 and 1. It should
  91  * probably be replaced with 'bool' but the uses would need to be audited
  92  * to check that they weren't accidentally relying on it being a larger type.
  93  */
  94 typedef uint8_t flag;
  95
  96 #define LIT64( a ) a##LL
  97
  98 /*----------------------------------------------------------------------------
  99 | Software IEC/IEEE floating-point ordering relations
 100 *----------------------------------------------------------------------------*/
 101 enum {
 102     float_relation_less      = -1,
 103     float_relation_equal     =  0,
 104     float_relation_greater   =  1,
 105     float_relation_unordered =  2
 106 };
 107
 108 /*----------------------------------------------------------------------------
 109 | Software IEC/IEEE floating-point types.
 110 *----------------------------------------------------------------------------*/
 111 /* Use structures for soft-float types.  This prevents accidentally mixing
 112    them with native int/float types.  A sufficiently clever compiler and
 113    sane ABI should be able to see though these structs.  However
 114    x86/gcc 3.x seems to struggle a bit, so leave them disabled by default.  */
 115 //#define USE_SOFTFLOAT_STRUCT_TYPES
 116 #ifdef USE_SOFTFLOAT_STRUCT_TYPES
 117 typedef struct {
 118     uint16_t v;
 119 } float16;
 120 #define float16_val(x) (((float16)(x)).v)
 121 #define make_float16(x) __extension__ ({ float16 f16_val = {x}; f16_val; })
 122 #define const_float16(x) { x }
 123 typedef struct {
 124     uint32_t v;
 125 } float32;
 126 /* The cast ensures an error if the wrong type is passed.  */
 127 #define float32_val(x) (((float32)(x)).v)
 128 #define make_float32(x) __extension__ ({ float32 f32_val = {x}; f32_val; })
 129 #define const_float32(x) { x }
 130 typedef struct {
 131     uint64_t v;
 132 } float64;
 133 #define float64_val(x) (((float64)(x)).v)
 134 #define make_float64(x) __extension__ ({ float64 f64_val = {x}; f64_val; })
 135 #define const_float64(x) { x }
 136 #else
 137 typedef uint16_t float16;
 138 typedef uint32_t float32;
 139 typedef uint64_t float64;
 140 #define float16_val(x) (x)
 141 #define float32_val(x) (x)
 142 #define float64_val(x) (x)
 143 #define make_float16(x) (x)
 144 #define make_float32(x) (x)
 145 #define make_float64(x) (x)
 146 #define const_float16(x) (x)
 147 #define const_float32(x) (x)
 148 #define const_float64(x) (x)
 149 #endif
 150 typedef struct {
 151     uint64_t low;
 152     uint16_t high;
 153 } floatx80;
 154 #define make_floatx80(exp, mant) ((floatx80) { mant, exp })
 155 #define make_floatx80_init(exp, mant) { .low = mant, .high = exp }
 156 typedef struct {
 157 #ifdef HOST_WORDS_BIGENDIAN
 158     uint64_t high, low;
 159 #else
 160     uint64_t low, high;
 161 #endif
 162 } float128;
 163 #define make_float128(high_, low_) ((float128) { .high = high_, .low = low_ })
 164 #define make_float128_init(high_, low_) { .high = high_, .low = low_ }
 165
 166 /*----------------------------------------------------------------------------
 167 | Software IEC/IEEE floating-point underflow tininess-detection mode.
 168 *----------------------------------------------------------------------------*/
 169 enum {
 170     float_tininess_after_rounding  = 0,
 171     float_tininess_before_rounding = 1
 172 };
 173
 174 /*----------------------------------------------------------------------------
 175 | Software IEC/IEEE floating-point rounding mode.
 176 *----------------------------------------------------------------------------*/
 177 enum {
 178     float_round_nearest_even = 0,
 179     float_round_down         = 1,
 180     float_round_up           = 2,
 181     float_round_to_zero      = 3,
 182     float_round_ties_away    = 4,
 183 };
 184
 185 /*----------------------------------------------------------------------------
 186 | Software IEC/IEEE floating-point exception flags.
 187 *----------------------------------------------------------------------------*/
 188 enum {
 189     float_flag_invalid   =  1,
 190     float_flag_divbyzero =  4,
 191     float_flag_overflow  =  8,
 192     float_flag_underflow = 16,
 193     float_flag_inexact   = 32,
 194     float_flag_input_denormal = 64,
 195     float_flag_output_denormal = 128
 196 };
 197
 198 typedef struct float_status {
 199     signed char float_detect_tininess;
 200     signed char float_rounding_mode;
 201     signed char float_exception_flags;
 202     signed char floatx80_rounding_precision;
 203     /* should denormalised results go to zero and set the inexact flag? */
 204     flag flush_to_zero;
 205     /* should denormalised inputs go to zero and set the input_denormal flag? */
 206     flag flush_inputs_to_zero;
 207     flag default_nan_mode;
 208     flag snan_bit_is_one;
 209 } float_status;
 210
 211 static inline void set_float_detect_tininess(int val, float_status *status)
 212 {
 213     status->float_detect_tininess = val;
 214 }
 215 static inline void set_float_rounding_mode(int val, float_status *status)
 216 {
 217     status->float_rounding_mode = val;
 218 }
 219 static inline void set_float_exception_flags(int val, float_status *status)
 220 {
 221     status->float_exception_flags = val;
 222 }
 223 static inline void set_floatx80_rounding_precision(int val,
 224                                                    float_status *status)
 225 {
 226     status->floatx80_rounding_precision = val;
 227 }
 228 static inline void set_flush_to_zero(flag val, float_status *status)
 229 {
 230     status->flush_to_zero = val;
 231 }
 232 static inline void set_flush_inputs_to_zero(flag val, float_status *status)
 233 {
 234     status->flush_inputs_to_zero = val;
 235 }
 236 static inline void set_default_nan_mode(flag val, float_status *status)
 237 {
 238     status->default_nan_mode = val;
 239 }
 240 static inline void set_snan_bit_is_one(flag val, float_status *status)
 241 {
 242     status->snan_bit_is_one = val;
 243 }
 244 static inline int get_float_detect_tininess(float_status *status)
 245 {
 246     return status->float_detect_tininess;
 247 }
 248 static inline int get_float_rounding_mode(float_status *status)
 249 {
 250     return status->float_rounding_mode;
 251 }
 252 static inline int get_float_exception_flags(float_status *status)
 253 {
 254     return status->float_exception_flags;
 255 }
 256 static inline int get_floatx80_rounding_precision(float_status *status)
 257 {
 258     return status->floatx80_rounding_precision;
 259 }
 260 static inline flag get_flush_to_zero(float_status *status)
 261 {
 262     return status->flush_to_zero;
 263 }
 264 static inline flag get_flush_inputs_to_zero(float_status *status)
 265 {
 266     return status->flush_inputs_to_zero;
 267 }
 268 static inline flag get_default_nan_mode(float_status *status)
 269 {
 270     return status->default_nan_mode;
 271 }
 272
 273 /*----------------------------------------------------------------------------
 274 | Routine to raise any or all of the software IEC/IEEE floating-point
 275 | exception flags.
 276 *----------------------------------------------------------------------------*/
 277 void float_raise(int8_t flags, float_status *status);
 278
 279 /*----------------------------------------------------------------------------
 280 | If `a' is denormal and we are in flush-to-zero mode then set the
 281 | input-denormal exception and return zero. Otherwise just return the value.
 282 *----------------------------------------------------------------------------*/
 283 float32 float32_squash_input_denormal(float32 a, float_status *status);
 284 float64 float64_squash_input_denormal(float64 a, float_status *status);
 285
 286 /*----------------------------------------------------------------------------
 287 | Options to indicate which negations to perform in float*_muladd()
 288 | Using these differs from negating an input or output before calling
 289 | the muladd function in that this means that a NaN doesn't have its
 290 | sign bit inverted before it is propagated.
 291 | We also support halving the result before rounding, as a special
 292 | case to support the ARM fused-sqrt-step instruction FRSQRTS.
 293 *----------------------------------------------------------------------------*/
 294 enum {
 295     float_muladd_negate_c = 1,
 296     float_muladd_negate_product = 2,
 297     float_muladd_negate_result = 4,
 298     float_muladd_halve_result = 8,
 299 };
 300
 301 /*----------------------------------------------------------------------------
 302 | Software IEC/IEEE integer-to-floating-point conversion routines.
 303 *----------------------------------------------------------------------------*/
 304 float32 int32_to_float32(int32_t, float_status *status);
 305 float64 int32_to_float64(int32_t, float_status *status);
 306 float32 uint32_to_float32(uint32_t, float_status *status);
 307 float64 uint32_to_float64(uint32_t, float_status *status);
 308 floatx80 int32_to_floatx80(int32_t, float_status *status);
 309 float128 int32_to_float128(int32_t, float_status *status);
 310 float32 int64_to_float32(int64_t, float_status *status);
 311 float64 int64_to_float64(int64_t, float_status *status);
 312 floatx80 int64_to_floatx80(int64_t, float_status *status);
 313 float128 int64_to_float128(int64_t, float_status *status);
 314 float32 uint64_to_float32(uint64_t, float_status *status);
 315 float64 uint64_to_float64(uint64_t, float_status *status);
 316 float128 uint64_to_float128(uint64_t, float_status *status);
 317
 318 /* We provide the int16 versions for symmetry of API with float-to-int */
 319 static inline float32 int16_to_float32(int16_t v, float_status *status)
 320 {
 321     return int32_to_float32(v, status);
 322 }
 323
 324 static inline float32 uint16_to_float32(uint16_t v, float_status *status)
 325 {
 326     return uint32_to_float32(v, status);
 327 }
 328
 329 static inline float64 int16_to_float64(int16_t v, float_status *status)
 330 {
 331     return int32_to_float64(v, status);
 332 }
 333
 334 static inline float64 uint16_to_float64(uint16_t v, float_status *status)
 335 {
 336     return uint32_to_float64(v, status);
 337 }
 338
 339 /*----------------------------------------------------------------------------
 340 | Software half-precision conversion routines.
 341 *----------------------------------------------------------------------------*/
 342 float16 float32_to_float16(float32, flag, float_status *status);
 343 float32 float16_to_float32(float16, flag, float_status *status);
 344 float16 float64_to_float16(float64 a, flag ieee, float_status *status);
 345 float64 float16_to_float64(float16 a, flag ieee, float_status *status);
 346
 347 /*----------------------------------------------------------------------------
 348 | Software half-precision operations.
 349 *----------------------------------------------------------------------------*/
 350 int float16_is_quiet_nan(float16, float_status *status);
 351 int float16_is_signaling_nan(float16, float_status *status);
 352 float16 float16_maybe_silence_nan(float16, float_status *status);
 353
 354 static inline int float16_is_any_nan(float16 a)
 355 {
 356     return ((float16_val(a) & ~0x8000) > 0x7c00);
 357 }
 358
 359 /*----------------------------------------------------------------------------
 360 | The pattern for a default generated half-precision NaN.
 361 *----------------------------------------------------------------------------*/
 362 float16 float16_default_nan(float_status *status);
 363
 364 /*----------------------------------------------------------------------------
 365 | Software IEC/IEEE single-precision conversion routines.
 366 *----------------------------------------------------------------------------*/
 367 int16_t float32_to_int16(float32, float_status *status);
 368 uint16_t float32_to_uint16(float32, float_status *status);
 369 int16_t float32_to_int16_round_to_zero(float32, float_status *status);
 370 uint16_t float32_to_uint16_round_to_zero(float32, float_status *status);
 371 int32_t float32_to_int32(float32, float_status *status);
 372 int32_t float32_to_int32_round_to_zero(float32, float_status *status);
 373 uint32_t float32_to_uint32(float32, float_status *status);
 374 uint32_t float32_to_uint32_round_to_zero(float32, float_status *status);
 375 int64_t float32_to_int64(float32, float_status *status);
 376 uint64_t float32_to_uint64(float32, float_status *status);
 377 uint64_t float32_to_uint64_round_to_zero(float32, float_status *status);
 378 int64_t float32_to_int64_round_to_zero(float32, float_status *status);
 379 float64 float32_to_float64(float32, float_status *status);
 380 floatx80 float32_to_floatx80(float32, float_status *status);
 381 float128 float32_to_float128(float32, float_status *status);
 382
 383 /*----------------------------------------------------------------------------
 384 | Software IEC/IEEE single-precision operations.
 385 *----------------------------------------------------------------------------*/
 386 float32 float32_round_to_int(float32, float_status *status);
 387 float32 float32_add(float32, float32, float_status *status);
 388 float32 float32_sub(float32, float32, float_status *status);
 389 float32 float32_mul(float32, float32, float_status *status);
 390 float32 float32_div(float32, float32, float_status *status);
 391 float32 float32_rem(float32, float32, float_status *status);
 392 float32 float32_muladd(float32, float32, float32, int, float_status *status);
 393 float32 float32_sqrt(float32, float_status *status);
 394 float32 float32_exp2(float32, float_status *status);
 395 float32 float32_log2(float32, float_status *status);
 396 int float32_eq(float32, float32, float_status *status);
 397 int float32_le(float32, float32, float_status *status);
 398 int float32_lt(float32, float32, float_status *status);
 399 int float32_unordered(float32, float32, float_status *status);
 400 int float32_eq_quiet(float32, float32, float_status *status);
 401 int float32_le_quiet(float32, float32, float_status *status);
 402 int float32_lt_quiet(float32, float32, float_status *status);
 403 int float32_unordered_quiet(float32, float32, float_status *status);
 404 int float32_compare(float32, float32, float_status *status);
 405 int float32_compare_quiet(float32, float32, float_status *status);
 406 float32 float32_min(float32, float32, float_status *status);
 407 float32 float32_max(float32, float32, float_status *status);
 408 float32 float32_minnum(float32, float32, float_status *status);
 409 float32 float32_maxnum(float32, float32, float_status *status);
 410 float32 float32_minnummag(float32, float32, float_status *status);
 411 float32 float32_maxnummag(float32, float32, float_status *status);
 412 int float32_is_quiet_nan(float32, float_status *status);
 413 int float32_is_signaling_nan(float32, float_status *status);
 414 float32 float32_maybe_silence_nan(float32, float_status *status);
 415 float32 float32_scalbn(float32, int, float_status *status);
 416
 417 static inline float32 float32_abs(float32 a)
 418 {
 419     /* Note that abs does *not* handle NaN specially, nor does
 420      * it flush denormal inputs to zero.
 421      */
 422     return make_float32(float32_val(a) & 0x7fffffff);
 423 }
 424
 425 static inline float32 float32_chs(float32 a)
 426 {
 427     /* Note that chs does *not* handle NaN specially, nor does
 428      * it flush denormal inputs to zero.
 429      */
 430     return make_float32(float32_val(a) ^ 0x80000000);
 431 }
 432
 433 static inline int float32_is_infinity(float32 a)
 434 {
 435     return (float32_val(a) & 0x7fffffff) == 0x7f800000;
 436 }
 437
 438 static inline int float32_is_neg(float32 a)
 439 {
 440     return float32_val(a) >> 31;
 441 }
 442
 443 static inline int float32_is_zero(float32 a)
 444 {
 445     return (float32_val(a) & 0x7fffffff) == 0;
 446 }
 447
 448 static inline int float32_is_any_nan(float32 a)
 449 {
 450     return ((float32_val(a) & ~(1 << 31)) > 0x7f800000UL);
 451 }
 452
 453 static inline int float32_is_zero_or_denormal(float32 a)
 454 {
 455     return (float32_val(a) & 0x7f800000) == 0;
 456 }
 457
 458 static inline float32 float32_set_sign(float32 a, int sign)
 459 {
 460     return make_float32((float32_val(a) & 0x7fffffff) | (sign << 31));
 461 }
 462
 463 #define float32_zero make_float32(0)
 464 #define float32_one make_float32(0x3f800000)
 465 #define float32_ln2 make_float32(0x3f317218)
 466 #define float32_pi make_float32(0x40490fdb)
 467 #define float32_half make_float32(0x3f000000)
 468 #define float32_infinity make_float32(0x7f800000)
 469
 470
 471 /*----------------------------------------------------------------------------
 472 | The pattern for a default generated single-precision NaN.
 473 *----------------------------------------------------------------------------*/
 474 float32 float32_default_nan(float_status *status);
 475
 476 /*----------------------------------------------------------------------------
 477 | Software IEC/IEEE double-precision conversion routines.
 478 *----------------------------------------------------------------------------*/
 479 int16_t float64_to_int16(float64, float_status *status);
 480 uint16_t float64_to_uint16(float64, float_status *status);
 481 int16_t float64_to_int16_round_to_zero(float64, float_status *status);
 482 uint16_t float64_to_uint16_round_to_zero(float64, float_status *status);
 483 int32_t float64_to_int32(float64, float_status *status);
 484 int32_t float64_to_int32_round_to_zero(float64, float_status *status);
 485 uint32_t float64_to_uint32(float64, float_status *status);
 486 uint32_t float64_to_uint32_round_to_zero(float64, float_status *status);
 487 int64_t float64_to_int64(float64, float_status *status);
 488 int64_t float64_to_int64_round_to_zero(float64, float_status *status);
 489 uint64_t float64_to_uint64(float64 a, float_status *status);
 490 uint64_t float64_to_uint64_round_to_zero(float64 a, float_status *status);
 491 float32 float64_to_float32(float64, float_status *status);
 492 floatx80 float64_to_floatx80(float64, float_status *status);
 493 float128 float64_to_float128(float64, float_status *status);
 494
 495 /*----------------------------------------------------------------------------
 496 | Software IEC/IEEE double-precision operations.
 497 *----------------------------------------------------------------------------*/
 498 float64 float64_round_to_int(float64, float_status *status);
 499 float64 float64_trunc_to_int(float64, float_status *status);
 500 float64 float64_add(float64, float64, float_status *status);
 501 float64 float64_sub(float64, float64, float_status *status);
 502 float64 float64_mul(float64, float64, float_status *status);
 503 float64 float64_div(float64, float64, float_status *status);
 504 float64 float64_rem(float64, float64, float_status *status);
 505 float64 float64_muladd(float64, float64, float64, int, float_status *status);
 506 float64 float64_sqrt(float64, float_status *status);
 507 float64 float64_log2(float64, float_status *status);
 508 int float64_eq(float64, float64, float_status *status);
 509 int float64_le(float64, float64, float_status *status);
 510 int float64_lt(float64, float64, float_status *status);
 511 int float64_unordered(float64, float64, float_status *status);
 512 int float64_eq_quiet(float64, float64, float_status *status);
 513 int float64_le_quiet(float64, float64, float_status *status);
 514 int float64_lt_quiet(float64, float64, float_status *status);
 515 int float64_unordered_quiet(float64, float64, float_status *status);
 516 int float64_compare(float64, float64, float_status *status);
 517 int float64_compare_quiet(float64, float64, float_status *status);
 518 float64 float64_min(float64, float64, float_status *status);
 519 float64 float64_max(float64, float64, float_status *status);
 520 float64 float64_minnum(float64, float64, float_status *status);
 521 float64 float64_maxnum(float64, float64, float_status *status);
 522 float64 float64_minnummag(float64, float64, float_status *status);
 523 float64 float64_maxnummag(float64, float64, float_status *status);
 524 int float64_is_quiet_nan(float64 a, float_status *status);
 525 int float64_is_signaling_nan(float64, float_status *status);
 526 float64 float64_maybe_silence_nan(float64, float_status *status);
 527 float64 float64_scalbn(float64, int, float_status *status);
 528
 529 static inline float64 float64_abs(float64 a)
 530 {
 531     /* Note that abs does *not* handle NaN specially, nor does
 532      * it flush denormal inputs to zero.
 533      */
 534     return make_float64(float64_val(a) & 0x7fffffffffffffffLL);
 535 }
 536
 537 static inline float64 float64_chs(float64 a)
 538 {
 539     /* Note that chs does *not* handle NaN specially, nor does
 540      * it flush denormal inputs to zero.
 541      */
 542     return make_float64(float64_val(a) ^ 0x8000000000000000LL);
 543 }
 544
 545 static inline int float64_is_infinity(float64 a)
 546 {
 547     return (float64_val(a) & 0x7fffffffffffffffLL ) == 0x7ff0000000000000LL;
 548 }
 549
 550 static inline int float64_is_neg(float64 a)
 551 {
 552     return float64_val(a) >> 63;
 553 }
 554
 555 static inline int float64_is_zero(float64 a)
 556 {
 557     return (float64_val(a) & 0x7fffffffffffffffLL) == 0;
 558 }
 559
 560 static inline int float64_is_any_nan(float64 a)
 561 {
 562     return ((float64_val(a) & ~(1ULL << 63)) > 0x7ff0000000000000ULL);
 563 }
 564
 565 static inline int float64_is_zero_or_denormal(float64 a)
 566 {
 567     return (float64_val(a) & 0x7ff0000000000000LL) == 0;
 568 }
 569
 570 static inline float64 float64_set_sign(float64 a, int sign)
 571 {
 572     return make_float64((float64_val(a) & 0x7fffffffffffffffULL)
 573                         | ((int64_t)sign << 63));
 574 }
 575
 576 #define float64_zero make_float64(0)
 577 #define float64_one make_float64(0x3ff0000000000000LL)
 578 #define float64_ln2 make_float64(0x3fe62e42fefa39efLL)
 579 #define float64_pi make_float64(0x400921fb54442d18LL)
 580 #define float64_half make_float64(0x3fe0000000000000LL)
 581 #define float64_infinity make_float64(0x7ff0000000000000LL)
 582
 583 /*----------------------------------------------------------------------------
 584 | The pattern for a default generated double-precision NaN.
 585 *----------------------------------------------------------------------------*/
 586 float64 float64_default_nan(float_status *status);
 587
 588 /*----------------------------------------------------------------------------
 589 | Software IEC/IEEE extended double-precision conversion routines.
 590 *----------------------------------------------------------------------------*/
 591 int32_t floatx80_to_int32(floatx80, float_status *status);
 592 int32_t floatx80_to_int32_round_to_zero(floatx80, float_status *status);
 593 int64_t floatx80_to_int64(floatx80, float_status *status);
 594 int64_t floatx80_to_int64_round_to_zero(floatx80, float_status *status);
 595 float32 floatx80_to_float32(floatx80, float_status *status);
 596 float64 floatx80_to_float64(floatx80, float_status *status);
 597 float128 floatx80_to_float128(floatx80, float_status *status);
 598
 599 /*----------------------------------------------------------------------------
 600 | Software IEC/IEEE extended double-precision operations.
 601 *----------------------------------------------------------------------------*/
 602 floatx80 floatx80_round_to_int(floatx80, float_status *status);
 603 floatx80 floatx80_add(floatx80, floatx80, float_status *status);
 604 floatx80 floatx80_sub(floatx80, floatx80, float_status *status);
 605 floatx80 floatx80_mul(floatx80, floatx80, float_status *status);
 606 floatx80 floatx80_div(floatx80, floatx80, float_status *status);
 607 floatx80 floatx80_rem(floatx80, floatx80, float_status *status);
 608 floatx80 floatx80_sqrt(floatx80, float_status *status);
 609 int floatx80_eq(floatx80, floatx80, float_status *status);
 610 int floatx80_le(floatx80, floatx80, float_status *status);
 611 int floatx80_lt(floatx80, floatx80, float_status *status);
 612 int floatx80_unordered(floatx80, floatx80, float_status *status);
 613 int floatx80_eq_quiet(floatx80, floatx80, float_status *status);
 614 int floatx80_le_quiet(floatx80, floatx80, float_status *status);
 615 int floatx80_lt_quiet(floatx80, floatx80, float_status *status);
 616 int floatx80_unordered_quiet(floatx80, floatx80, float_status *status);
 617 int floatx80_compare(floatx80, floatx80, float_status *status);
 618 int floatx80_compare_quiet(floatx80, floatx80, float_status *status);
 619 int floatx80_is_quiet_nan(floatx80, float_status *status);
 620 int floatx80_is_signaling_nan(floatx80, float_status *status);
 621 floatx80 floatx80_maybe_silence_nan(floatx80, float_status *status);
 622 floatx80 floatx80_scalbn(floatx80, int, float_status *status);
 623
 624 static inline floatx80 floatx80_abs(floatx80 a)
 625 {
 626     a.high &= 0x7fff;
 627     return a;
 628 }
 629
 630 static inline floatx80 floatx80_chs(floatx80 a)
 631 {
 632     a.high ^= 0x8000;
 633     return a;
 634 }
 635
 636 static inline int floatx80_is_infinity(floatx80 a)
 637 {
 638     return (a.high & 0x7fff) == 0x7fff && a.low == 0x8000000000000000LL;
 639 }
 640
 641 static inline int floatx80_is_neg(floatx80 a)
 642 {
 643     return a.high >> 15;
 644 }
 645
 646 static inline int floatx80_is_zero(floatx80 a)
 647 {
 648     return (a.high & 0x7fff) == 0 && a.low == 0;
 649 }
 650
 651 static inline int floatx80_is_zero_or_denormal(floatx80 a)
 652 {
 653     return (a.high & 0x7fff) == 0;
 654 }
 655
 656 static inline int floatx80_is_any_nan(floatx80 a)
 657 {
 658     return ((a.high & 0x7fff) == 0x7fff) && (a.low<<1);
 659 }
 660
 661 #define floatx80_zero make_floatx80(0x0000, 0x0000000000000000LL)
 662 #define floatx80_one make_floatx80(0x3fff, 0x8000000000000000LL)
 663 #define floatx80_ln2 make_floatx80(0x3ffe, 0xb17217f7d1cf79acLL)
 664 #define floatx80_pi make_floatx80(0x4000, 0xc90fdaa22168c235LL)
 665 #define floatx80_half make_floatx80(0x3ffe, 0x8000000000000000LL)
 666 #define floatx80_infinity make_floatx80(0x7fff, 0x8000000000000000LL)
 667
 668 /*----------------------------------------------------------------------------
 669 | The pattern for a default generated extended double-precision NaN.
 670 *----------------------------------------------------------------------------*/
 671 floatx80 floatx80_default_nan(float_status *status);
 672
 673 /*----------------------------------------------------------------------------
 674 | Software IEC/IEEE quadruple-precision conversion routines.
 675 *----------------------------------------------------------------------------*/
 676 int32_t float128_to_int32(float128, float_status *status);
 677 int32_t float128_to_int32_round_to_zero(float128, float_status *status);
 678 int64_t float128_to_int64(float128, float_status *status);
 679 int64_t float128_to_int64_round_to_zero(float128, float_status *status);
 680 float32 float128_to_float32(float128, float_status *status);
 681 float64 float128_to_float64(float128, float_status *status);
 682 floatx80 float128_to_floatx80(float128, float_status *status);
 683
 684 /*----------------------------------------------------------------------------
 685 | Software IEC/IEEE quadruple-precision operations.
 686 *----------------------------------------------------------------------------*/
 687 float128 float128_round_to_int(float128, float_status *status);
 688 float128 float128_add(float128, float128, float_status *status);
 689 float128 float128_sub(float128, float128, float_status *status);
 690 float128 float128_mul(float128, float128, float_status *status);
 691 float128 float128_div(float128, float128, float_status *status);
 692 float128 float128_rem(float128, float128, float_status *status);
 693 float128 float128_sqrt(float128, float_status *status);
 694 int float128_eq(float128, float128, float_status *status);
 695 int float128_le(float128, float128, float_status *status);
 696 int float128_lt(float128, float128, float_status *status);
 697 int float128_unordered(float128, float128, float_status *status);
 698 int float128_eq_quiet(float128, float128, float_status *status);
 699 int float128_le_quiet(float128, float128, float_status *status);
 700 int float128_lt_quiet(float128, float128, float_status *status);
 701 int float128_unordered_quiet(float128, float128, float_status *status);
 702 int float128_compare(float128, float128, float_status *status);
 703 int float128_compare_quiet(float128, float128, float_status *status);
 704 int float128_is_quiet_nan(float128, float_status *status);
 705 int float128_is_signaling_nan(float128, float_status *status);
 706 float128 float128_maybe_silence_nan(float128, float_status *status);
 707 float128 float128_scalbn(float128, int, float_status *status);
 708
 709 static inline float128 float128_abs(float128 a)
 710 {
 711     a.high &= 0x7fffffffffffffffLL;
 712     return a;
 713 }
 714
 715 static inline float128 float128_chs(float128 a)
 716 {
 717     a.high ^= 0x8000000000000000LL;
 718     return a;
 719 }
 720
 721 static inline int float128_is_infinity(float128 a)
 722 {
 723     return (a.high & 0x7fffffffffffffffLL) == 0x7fff000000000000LL && a.low == 0;
 724 }
 725
 726 static inline int float128_is_neg(float128 a)
 727 {
 728     return a.high >> 63;
 729 }
 730
 731 static inline int float128_is_zero(float128 a)
 732 {
 733     return (a.high & 0x7fffffffffffffffLL) == 0 && a.low == 0;
 734 }
 735
 736 static inline int float128_is_zero_or_denormal(float128 a)
 737 {
 738     return (a.high & 0x7fff000000000000LL) == 0;
 739 }
 740
 741 static inline int float128_is_any_nan(float128 a)
 742 {
 743     return ((a.high >> 48) & 0x7fff) == 0x7fff &&
 744         ((a.low != 0) || ((a.high & 0xffffffffffffLL) != 0));
 745 }
 746
 747 #define float128_zero make_float128(0, 0)
 748
 749 /*----------------------------------------------------------------------------
 750 | The pattern for a default generated quadruple-precision NaN.
 751 *----------------------------------------------------------------------------*/
 752 float128 float128_default_nan(float_status *status);
 753
 754 #endif /* SOFTFLOAT_H */