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 #include <inttypes.h>
  90 #include "config-host.h"
  91 #include "qemu/osdep.h"
  92
  93 /*----------------------------------------------------------------------------
  94 | Each of the following `typedef's defines the most convenient type that holds
  95 | integers of at least as many bits as specified.  For example, `uint8' should
  96 | be the most convenient type that can hold unsigned integers of as many as
  97 | 8 bits.  The `flag' type must be able to hold either a 0 or 1.  For most
  98 | implementations of C, `flag', `uint8', and `int8' should all be `typedef'ed
  99 | to the same as `int'.
 100 *----------------------------------------------------------------------------*/
 101 typedef uint8_t flag;
 102 typedef uint8_t uint8;
 103 typedef int8_t int8;
 104 typedef unsigned int uint32;
 105 typedef signed int int32;
 106 typedef uint64_t uint64;
 107 typedef int64_t int64;
 108
 109 #define LIT64( a ) a##LL
 110
 111 #define STATUS(field) status->field
 112
 113 /*----------------------------------------------------------------------------
 114 | Software IEC/IEEE floating-point ordering relations
 115 *----------------------------------------------------------------------------*/
 116 enum {
 117     float_relation_less      = -1,
 118     float_relation_equal     =  0,
 119     float_relation_greater   =  1,
 120     float_relation_unordered =  2
 121 };
 122
 123 /*----------------------------------------------------------------------------
 124 | Software IEC/IEEE floating-point types.
 125 *----------------------------------------------------------------------------*/
 126 /* Use structures for soft-float types.  This prevents accidentally mixing
 127    them with native int/float types.  A sufficiently clever compiler and
 128    sane ABI should be able to see though these structs.  However
 129    x86/gcc 3.x seems to struggle a bit, so leave them disabled by default.  */
 130 //#define USE_SOFTFLOAT_STRUCT_TYPES
 131 #ifdef USE_SOFTFLOAT_STRUCT_TYPES
 132 typedef struct {
 133     uint16_t v;
 134 } float16;
 135 #define float16_val(x) (((float16)(x)).v)
 136 #define make_float16(x) __extension__ ({ float16 f16_val = {x}; f16_val; })
 137 #define const_float16(x) { x }
 138 typedef struct {
 139     uint32_t v;
 140 } float32;
 141 /* The cast ensures an error if the wrong type is passed.  */
 142 #define float32_val(x) (((float32)(x)).v)
 143 #define make_float32(x) __extension__ ({ float32 f32_val = {x}; f32_val; })
 144 #define const_float32(x) { x }
 145 typedef struct {
 146     uint64_t v;
 147 } float64;
 148 #define float64_val(x) (((float64)(x)).v)
 149 #define make_float64(x) __extension__ ({ float64 f64_val = {x}; f64_val; })
 150 #define const_float64(x) { x }
 151 #else
 152 typedef uint16_t float16;
 153 typedef uint32_t float32;
 154 typedef uint64_t float64;
 155 #define float16_val(x) (x)
 156 #define float32_val(x) (x)
 157 #define float64_val(x) (x)
 158 #define make_float16(x) (x)
 159 #define make_float32(x) (x)
 160 #define make_float64(x) (x)
 161 #define const_float16(x) (x)
 162 #define const_float32(x) (x)
 163 #define const_float64(x) (x)
 164 #endif
 165 typedef struct {
 166     uint64_t low;
 167     uint16_t high;
 168 } floatx80;
 169 #define make_floatx80(exp, mant) ((floatx80) { mant, exp })
 170 #define make_floatx80_init(exp, mant) { .low = mant, .high = exp }
 171 typedef struct {
 172 #ifdef HOST_WORDS_BIGENDIAN
 173     uint64_t high, low;
 174 #else
 175     uint64_t low, high;
 176 #endif
 177 } float128;
 178 #define make_float128(high_, low_) ((float128) { .high = high_, .low = low_ })
 179 #define make_float128_init(high_, low_) { .high = high_, .low = low_ }
 180
 181 /*----------------------------------------------------------------------------
 182 | Software IEC/IEEE floating-point underflow tininess-detection mode.
 183 *----------------------------------------------------------------------------*/
 184 enum {
 185     float_tininess_after_rounding  = 0,
 186     float_tininess_before_rounding = 1
 187 };
 188
 189 /*----------------------------------------------------------------------------
 190 | Software IEC/IEEE floating-point rounding mode.
 191 *----------------------------------------------------------------------------*/
 192 enum {
 193     float_round_nearest_even = 0,
 194     float_round_down         = 1,
 195     float_round_up           = 2,
 196     float_round_to_zero      = 3,
 197     float_round_ties_away    = 4,
 198 };
 199
 200 /*----------------------------------------------------------------------------
 201 | Software IEC/IEEE floating-point exception flags.
 202 *----------------------------------------------------------------------------*/
 203 enum {
 204     float_flag_invalid   =  1,
 205     float_flag_divbyzero =  4,
 206     float_flag_overflow  =  8,
 207     float_flag_underflow = 16,
 208     float_flag_inexact   = 32,
 209     float_flag_input_denormal = 64,
 210     float_flag_output_denormal = 128
 211 };
 212
 213 typedef struct float_status {
 214     signed char float_detect_tininess;
 215     signed char float_rounding_mode;
 216     signed char float_exception_flags;
 217     signed char floatx80_rounding_precision;
 218     /* should denormalised results go to zero and set the inexact flag? */
 219     flag flush_to_zero;
 220     /* should denormalised inputs go to zero and set the input_denormal flag? */
 221     flag flush_inputs_to_zero;
 222     flag default_nan_mode;
 223 } float_status;
 224
 225 static inline void set_float_detect_tininess(int val, float_status *status)
 226 {
 227     STATUS(float_detect_tininess) = val;
 228 }
 229 static inline void set_float_rounding_mode(int val, float_status *status)
 230 {
 231     STATUS(float_rounding_mode) = val;
 232 }
 233 static inline void set_float_exception_flags(int val, float_status *status)
 234 {
 235     STATUS(float_exception_flags) = val;
 236 }
 237 static inline void set_floatx80_rounding_precision(int val,
 238                                                    float_status *status)
 239 {
 240     STATUS(floatx80_rounding_precision) = val;
 241 }
 242 static inline void set_flush_to_zero(flag val, float_status *status)
 243 {
 244     STATUS(flush_to_zero) = val;
 245 }
 246 static inline void set_flush_inputs_to_zero(flag val, float_status *status)
 247 {
 248     STATUS(flush_inputs_to_zero) = val;
 249 }
 250 static inline void set_default_nan_mode(flag val, float_status *status)
 251 {
 252     STATUS(default_nan_mode) = val;
 253 }
 254 static inline int get_float_detect_tininess(float_status *status)
 255 {
 256     return STATUS(float_detect_tininess);
 257 }
 258 static inline int get_float_rounding_mode(float_status *status)
 259 {
 260     return STATUS(float_rounding_mode);
 261 }
 262 static inline int get_float_exception_flags(float_status *status)
 263 {
 264     return STATUS(float_exception_flags);
 265 }
 266 static inline int get_floatx80_rounding_precision(float_status *status)
 267 {
 268     return STATUS(floatx80_rounding_precision);
 269 }
 270 static inline flag get_flush_to_zero(float_status *status)
 271 {
 272     return STATUS(flush_to_zero);
 273 }
 274 static inline flag get_flush_inputs_to_zero(float_status *status)
 275 {
 276     return STATUS(flush_inputs_to_zero);
 277 }
 278 static inline flag get_default_nan_mode(float_status *status)
 279 {
 280     return STATUS(default_nan_mode);
 281 }
 282
 283 /*----------------------------------------------------------------------------
 284 | Routine to raise any or all of the software IEC/IEEE floating-point
 285 | exception flags.
 286 *----------------------------------------------------------------------------*/
 287 void float_raise(int8 flags, float_status *status);
 288
 289 /*----------------------------------------------------------------------------
 290 | If `a' is denormal and we are in flush-to-zero mode then set the
 291 | input-denormal exception and return zero. Otherwise just return the value.
 292 *----------------------------------------------------------------------------*/
 293 float32 float32_squash_input_denormal(float32 a, float_status *status);
 294 float64 float64_squash_input_denormal(float64 a, float_status *status);
 295
 296 /*----------------------------------------------------------------------------
 297 | Options to indicate which negations to perform in float*_muladd()
 298 | Using these differs from negating an input or output before calling
 299 | the muladd function in that this means that a NaN doesn't have its
 300 | sign bit inverted before it is propagated.
 301 | We also support halving the result before rounding, as a special
 302 | case to support the ARM fused-sqrt-step instruction FRSQRTS.
 303 *----------------------------------------------------------------------------*/
 304 enum {
 305     float_muladd_negate_c = 1,
 306     float_muladd_negate_product = 2,
 307     float_muladd_negate_result = 4,
 308     float_muladd_halve_result = 8,
 309 };
 310
 311 /*----------------------------------------------------------------------------
 312 | Software IEC/IEEE integer-to-floating-point conversion routines.
 313 *----------------------------------------------------------------------------*/
 314 float32 int32_to_float32(int32_t, float_status *status);
 315 float64 int32_to_float64(int32_t, float_status *status);
 316 float32 uint32_to_float32(uint32_t, float_status *status);
 317 float64 uint32_to_float64(uint32_t, float_status *status);
 318 floatx80 int32_to_floatx80(int32_t, float_status *status);
 319 float128 int32_to_float128(int32_t, float_status *status);
 320 float32 int64_to_float32(int64_t, float_status *status);
 321 float64 int64_to_float64(int64_t, float_status *status);
 322 floatx80 int64_to_floatx80(int64_t, float_status *status);
 323 float128 int64_to_float128(int64_t, float_status *status);
 324 float32 uint64_to_float32(uint64_t, float_status *status);
 325 float64 uint64_to_float64(uint64_t, float_status *status);
 326 float128 uint64_to_float128(uint64_t, float_status *status);
 327
 328 /* We provide the int16 versions for symmetry of API with float-to-int */
 329 static inline float32 int16_to_float32(int16_t v, float_status *status)
 330 {
 331     return int32_to_float32(v, status);
 332 }
 333
 334 static inline float32 uint16_to_float32(uint16_t v, float_status *status)
 335 {
 336     return uint32_to_float32(v, status);
 337 }
 338
 339 static inline float64 int16_to_float64(int16_t v, float_status *status)
 340 {
 341     return int32_to_float64(v, status);
 342 }
 343
 344 static inline float64 uint16_to_float64(uint16_t v, float_status *status)
 345 {
 346     return uint32_to_float64(v, status);
 347 }
 348
 349 /*----------------------------------------------------------------------------
 350 | Software half-precision conversion routines.
 351 *----------------------------------------------------------------------------*/
 352 float16 float32_to_float16(float32, flag, float_status *status);
 353 float32 float16_to_float32(float16, flag, float_status *status);
 354 float16 float64_to_float16(float64 a, flag ieee, float_status *status);
 355 float64 float16_to_float64(float16 a, flag ieee, float_status *status);
 356
 357 /*----------------------------------------------------------------------------
 358 | Software half-precision operations.
 359 *----------------------------------------------------------------------------*/
 360 int float16_is_quiet_nan( float16 );
 361 int float16_is_signaling_nan( float16 );
 362 float16 float16_maybe_silence_nan( float16 );
 363
 364 static inline int float16_is_any_nan(float16 a)
 365 {
 366     return ((float16_val(a) & ~0x8000) > 0x7c00);
 367 }
 368
 369 /*----------------------------------------------------------------------------
 370 | The pattern for a default generated half-precision NaN.
 371 *----------------------------------------------------------------------------*/
 372 extern const float16 float16_default_nan;
 373
 374 /*----------------------------------------------------------------------------
 375 | Software IEC/IEEE single-precision conversion routines.
 376 *----------------------------------------------------------------------------*/
 377 int_fast16_t float32_to_int16(float32, float_status *status);
 378 uint_fast16_t float32_to_uint16(float32, float_status *status);
 379 int_fast16_t float32_to_int16_round_to_zero(float32, float_status *status);
 380 uint_fast16_t float32_to_uint16_round_to_zero(float32, float_status *status);
 381 int32 float32_to_int32(float32, float_status *status);
 382 int32 float32_to_int32_round_to_zero(float32, float_status *status);
 383 uint32 float32_to_uint32(float32, float_status *status);
 384 uint32 float32_to_uint32_round_to_zero(float32, float_status *status);
 385 int64 float32_to_int64(float32, float_status *status);
 386 uint64 float32_to_uint64(float32, float_status *status);
 387 uint64 float32_to_uint64_round_to_zero(float32, float_status *status);
 388 int64 float32_to_int64_round_to_zero(float32, float_status *status);
 389 float64 float32_to_float64(float32, float_status *status);
 390 floatx80 float32_to_floatx80(float32, float_status *status);
 391 float128 float32_to_float128(float32, float_status *status);
 392
 393 /*----------------------------------------------------------------------------
 394 | Software IEC/IEEE single-precision operations.
 395 *----------------------------------------------------------------------------*/
 396 float32 float32_round_to_int(float32, float_status *status);
 397 float32 float32_add(float32, float32, float_status *status);
 398 float32 float32_sub(float32, float32, float_status *status);
 399 float32 float32_mul(float32, float32, float_status *status);
 400 float32 float32_div(float32, float32, float_status *status);
 401 float32 float32_rem(float32, float32, float_status *status);
 402 float32 float32_muladd(float32, float32, float32, int, float_status *status);
 403 float32 float32_sqrt(float32, float_status *status);
 404 float32 float32_exp2(float32, float_status *status);
 405 float32 float32_log2(float32, float_status *status);
 406 int float32_eq(float32, float32, float_status *status);
 407 int float32_le(float32, float32, float_status *status);
 408 int float32_lt(float32, float32, float_status *status);
 409 int float32_unordered(float32, float32, float_status *status);
 410 int float32_eq_quiet(float32, float32, float_status *status);
 411 int float32_le_quiet(float32, float32, float_status *status);
 412 int float32_lt_quiet(float32, float32, float_status *status);
 413 int float32_unordered_quiet(float32, float32, float_status *status);
 414 int float32_compare(float32, float32, float_status *status);
 415 int float32_compare_quiet(float32, float32, float_status *status);
 416 float32 float32_min(float32, float32, float_status *status);
 417 float32 float32_max(float32, float32, float_status *status);
 418 float32 float32_minnum(float32, float32, float_status *status);
 419 float32 float32_maxnum(float32, float32, float_status *status);
 420 float32 float32_minnummag(float32, float32, float_status *status);
 421 float32 float32_maxnummag(float32, float32, float_status *status);
 422 int float32_is_quiet_nan( float32 );
 423 int float32_is_signaling_nan( float32 );
 424 float32 float32_maybe_silence_nan( float32 );
 425 float32 float32_scalbn(float32, int, float_status *status);
 426
 427 static inline float32 float32_abs(float32 a)
 428 {
 429     /* Note that abs does *not* handle NaN specially, nor does
 430      * it flush denormal inputs to zero.
 431      */
 432     return make_float32(float32_val(a) & 0x7fffffff);
 433 }
 434
 435 static inline float32 float32_chs(float32 a)
 436 {
 437     /* Note that chs does *not* handle NaN specially, nor does
 438      * it flush denormal inputs to zero.
 439      */
 440     return make_float32(float32_val(a) ^ 0x80000000);
 441 }
 442
 443 static inline int float32_is_infinity(float32 a)
 444 {
 445     return (float32_val(a) & 0x7fffffff) == 0x7f800000;
 446 }
 447
 448 static inline int float32_is_neg(float32 a)
 449 {
 450     return float32_val(a) >> 31;
 451 }
 452
 453 static inline int float32_is_zero(float32 a)
 454 {
 455     return (float32_val(a) & 0x7fffffff) == 0;
 456 }
 457
 458 static inline int float32_is_any_nan(float32 a)
 459 {
 460     return ((float32_val(a) & ~(1 << 31)) > 0x7f800000UL);
 461 }
 462
 463 static inline int float32_is_zero_or_denormal(float32 a)
 464 {
 465     return (float32_val(a) & 0x7f800000) == 0;
 466 }
 467
 468 static inline float32 float32_set_sign(float32 a, int sign)
 469 {
 470     return make_float32((float32_val(a) & 0x7fffffff) | (sign << 31));
 471 }
 472
 473 #define float32_zero make_float32(0)
 474 #define float32_one make_float32(0x3f800000)
 475 #define float32_ln2 make_float32(0x3f317218)
 476 #define float32_pi make_float32(0x40490fdb)
 477 #define float32_half make_float32(0x3f000000)
 478 #define float32_infinity make_float32(0x7f800000)
 479
 480
 481 /*----------------------------------------------------------------------------
 482 | The pattern for a default generated single-precision NaN.
 483 *----------------------------------------------------------------------------*/
 484 extern const float32 float32_default_nan;
 485
 486 /*----------------------------------------------------------------------------
 487 | Software IEC/IEEE double-precision conversion routines.
 488 *----------------------------------------------------------------------------*/
 489 int_fast16_t float64_to_int16(float64, float_status *status);
 490 uint_fast16_t float64_to_uint16(float64, float_status *status);
 491 int_fast16_t float64_to_int16_round_to_zero(float64, float_status *status);
 492 uint_fast16_t float64_to_uint16_round_to_zero(float64, float_status *status);
 493 int32 float64_to_int32(float64, float_status *status);
 494 int32 float64_to_int32_round_to_zero(float64, float_status *status);
 495 uint32 float64_to_uint32(float64, float_status *status);
 496 uint32 float64_to_uint32_round_to_zero(float64, float_status *status);
 497 int64 float64_to_int64(float64, float_status *status);
 498 int64 float64_to_int64_round_to_zero(float64, float_status *status);
 499 uint64 float64_to_uint64(float64 a, float_status *status);
 500 uint64 float64_to_uint64_round_to_zero(float64 a, float_status *status);
 501 float32 float64_to_float32(float64, float_status *status);
 502 floatx80 float64_to_floatx80(float64, float_status *status);
 503 float128 float64_to_float128(float64, float_status *status);
 504
 505 /*----------------------------------------------------------------------------
 506 | Software IEC/IEEE double-precision operations.
 507 *----------------------------------------------------------------------------*/
 508 float64 float64_round_to_int(float64, float_status *status);
 509 float64 float64_trunc_to_int(float64, float_status *status);
 510 float64 float64_add(float64, float64, float_status *status);
 511 float64 float64_sub(float64, float64, float_status *status);
 512 float64 float64_mul(float64, float64, float_status *status);
 513 float64 float64_div(float64, float64, float_status *status);
 514 float64 float64_rem(float64, float64, float_status *status);
 515 float64 float64_muladd(float64, float64, float64, int, float_status *status);
 516 float64 float64_sqrt(float64, float_status *status);
 517 float64 float64_log2(float64, float_status *status);
 518 int float64_eq(float64, float64, float_status *status);
 519 int float64_le(float64, float64, float_status *status);
 520 int float64_lt(float64, float64, float_status *status);
 521 int float64_unordered(float64, float64, float_status *status);
 522 int float64_eq_quiet(float64, float64, float_status *status);
 523 int float64_le_quiet(float64, float64, float_status *status);
 524 int float64_lt_quiet(float64, float64, float_status *status);
 525 int float64_unordered_quiet(float64, float64, float_status *status);
 526 int float64_compare(float64, float64, float_status *status);
 527 int float64_compare_quiet(float64, float64, float_status *status);
 528 float64 float64_min(float64, float64, float_status *status);
 529 float64 float64_max(float64, float64, float_status *status);
 530 float64 float64_minnum(float64, float64, float_status *status);
 531 float64 float64_maxnum(float64, float64, float_status *status);
 532 float64 float64_minnummag(float64, float64, float_status *status);
 533 float64 float64_maxnummag(float64, float64, float_status *status);
 534 int float64_is_quiet_nan( float64 a );
 535 int float64_is_signaling_nan( float64 );
 536 float64 float64_maybe_silence_nan( float64 );
 537 float64 float64_scalbn(float64, int, float_status *status);
 538
 539 static inline float64 float64_abs(float64 a)
 540 {
 541     /* Note that abs does *not* handle NaN specially, nor does
 542      * it flush denormal inputs to zero.
 543      */
 544     return make_float64(float64_val(a) & 0x7fffffffffffffffLL);
 545 }
 546
 547 static inline float64 float64_chs(float64 a)
 548 {
 549     /* Note that chs does *not* handle NaN specially, nor does
 550      * it flush denormal inputs to zero.
 551      */
 552     return make_float64(float64_val(a) ^ 0x8000000000000000LL);
 553 }
 554
 555 static inline int float64_is_infinity(float64 a)
 556 {
 557     return (float64_val(a) & 0x7fffffffffffffffLL ) == 0x7ff0000000000000LL;
 558 }
 559
 560 static inline int float64_is_neg(float64 a)
 561 {
 562     return float64_val(a) >> 63;
 563 }
 564
 565 static inline int float64_is_zero(float64 a)
 566 {
 567     return (float64_val(a) & 0x7fffffffffffffffLL) == 0;
 568 }
 569
 570 static inline int float64_is_any_nan(float64 a)
 571 {
 572     return ((float64_val(a) & ~(1ULL << 63)) > 0x7ff0000000000000ULL);
 573 }
 574
 575 static inline int float64_is_zero_or_denormal(float64 a)
 576 {
 577     return (float64_val(a) & 0x7ff0000000000000LL) == 0;
 578 }
 579
 580 static inline float64 float64_set_sign(float64 a, int sign)
 581 {
 582     return make_float64((float64_val(a) & 0x7fffffffffffffffULL)
 583                         | ((int64_t)sign << 63));
 584 }
 585
 586 #define float64_zero make_float64(0)
 587 #define float64_one make_float64(0x3ff0000000000000LL)
 588 #define float64_ln2 make_float64(0x3fe62e42fefa39efLL)
 589 #define float64_pi make_float64(0x400921fb54442d18LL)
 590 #define float64_half make_float64(0x3fe0000000000000LL)
 591 #define float64_infinity make_float64(0x7ff0000000000000LL)
 592
 593 /*----------------------------------------------------------------------------
 594 | The pattern for a default generated double-precision NaN.
 595 *----------------------------------------------------------------------------*/
 596 extern const float64 float64_default_nan;
 597
 598 /*----------------------------------------------------------------------------
 599 | Software IEC/IEEE extended double-precision conversion routines.
 600 *----------------------------------------------------------------------------*/
 601 int32 floatx80_to_int32(floatx80, float_status *status);
 602 int32 floatx80_to_int32_round_to_zero(floatx80, float_status *status);
 603 int64 floatx80_to_int64(floatx80, float_status *status);
 604 int64 floatx80_to_int64_round_to_zero(floatx80, float_status *status);
 605 float32 floatx80_to_float32(floatx80, float_status *status);
 606 float64 floatx80_to_float64(floatx80, float_status *status);
 607 float128 floatx80_to_float128(floatx80, float_status *status);
 608
 609 /*----------------------------------------------------------------------------
 610 | Software IEC/IEEE extended double-precision operations.
 611 *----------------------------------------------------------------------------*/
 612 floatx80 floatx80_round_to_int(floatx80, float_status *status);
 613 floatx80 floatx80_add(floatx80, floatx80, float_status *status);
 614 floatx80 floatx80_sub(floatx80, floatx80, float_status *status);
 615 floatx80 floatx80_mul(floatx80, floatx80, float_status *status);
 616 floatx80 floatx80_div(floatx80, floatx80, float_status *status);
 617 floatx80 floatx80_rem(floatx80, floatx80, float_status *status);
 618 floatx80 floatx80_sqrt(floatx80, float_status *status);
 619 int floatx80_eq(floatx80, floatx80, float_status *status);
 620 int floatx80_le(floatx80, floatx80, float_status *status);
 621 int floatx80_lt(floatx80, floatx80, float_status *status);
 622 int floatx80_unordered(floatx80, floatx80, float_status *status);
 623 int floatx80_eq_quiet(floatx80, floatx80, float_status *status);
 624 int floatx80_le_quiet(floatx80, floatx80, float_status *status);
 625 int floatx80_lt_quiet(floatx80, floatx80, float_status *status);
 626 int floatx80_unordered_quiet(floatx80, floatx80, float_status *status);
 627 int floatx80_compare(floatx80, floatx80, float_status *status);
 628 int floatx80_compare_quiet(floatx80, floatx80, float_status *status);
 629 int floatx80_is_quiet_nan( floatx80 );
 630 int floatx80_is_signaling_nan( floatx80 );
 631 floatx80 floatx80_maybe_silence_nan( floatx80 );
 632 floatx80 floatx80_scalbn(floatx80, int, float_status *status);
 633
 634 static inline floatx80 floatx80_abs(floatx80 a)
 635 {
 636     a.high &= 0x7fff;
 637     return a;
 638 }
 639
 640 static inline floatx80 floatx80_chs(floatx80 a)
 641 {
 642     a.high ^= 0x8000;
 643     return a;
 644 }
 645
 646 static inline int floatx80_is_infinity(floatx80 a)
 647 {
 648     return (a.high & 0x7fff) == 0x7fff && a.low == 0x8000000000000000LL;
 649 }
 650
 651 static inline int floatx80_is_neg(floatx80 a)
 652 {
 653     return a.high >> 15;
 654 }
 655
 656 static inline int floatx80_is_zero(floatx80 a)
 657 {
 658     return (a.high & 0x7fff) == 0 && a.low == 0;
 659 }
 660
 661 static inline int floatx80_is_zero_or_denormal(floatx80 a)
 662 {
 663     return (a.high & 0x7fff) == 0;
 664 }
 665
 666 static inline int floatx80_is_any_nan(floatx80 a)
 667 {
 668     return ((a.high & 0x7fff) == 0x7fff) && (a.low<<1);
 669 }
 670
 671 #define floatx80_zero make_floatx80(0x0000, 0x0000000000000000LL)
 672 #define floatx80_one make_floatx80(0x3fff, 0x8000000000000000LL)
 673 #define floatx80_ln2 make_floatx80(0x3ffe, 0xb17217f7d1cf79acLL)
 674 #define floatx80_pi make_floatx80(0x4000, 0xc90fdaa22168c235LL)
 675 #define floatx80_half make_floatx80(0x3ffe, 0x8000000000000000LL)
 676 #define floatx80_infinity make_floatx80(0x7fff, 0x8000000000000000LL)
 677
 678 /*----------------------------------------------------------------------------
 679 | The pattern for a default generated extended double-precision NaN.
 680 *----------------------------------------------------------------------------*/
 681 extern const floatx80 floatx80_default_nan;
 682
 683 /*----------------------------------------------------------------------------
 684 | Software IEC/IEEE quadruple-precision conversion routines.
 685 *----------------------------------------------------------------------------*/
 686 int32 float128_to_int32(float128, float_status *status);
 687 int32 float128_to_int32_round_to_zero(float128, float_status *status);
 688 int64 float128_to_int64(float128, float_status *status);
 689 int64 float128_to_int64_round_to_zero(float128, float_status *status);
 690 float32 float128_to_float32(float128, float_status *status);
 691 float64 float128_to_float64(float128, float_status *status);
 692 floatx80 float128_to_floatx80(float128, float_status *status);
 693
 694 /*----------------------------------------------------------------------------
 695 | Software IEC/IEEE quadruple-precision operations.
 696 *----------------------------------------------------------------------------*/
 697 float128 float128_round_to_int(float128, float_status *status);
 698 float128 float128_add(float128, float128, float_status *status);
 699 float128 float128_sub(float128, float128, float_status *status);
 700 float128 float128_mul(float128, float128, float_status *status);
 701 float128 float128_div(float128, float128, float_status *status);
 702 float128 float128_rem(float128, float128, float_status *status);
 703 float128 float128_sqrt(float128, float_status *status);
 704 int float128_eq(float128, float128, float_status *status);
 705 int float128_le(float128, float128, float_status *status);
 706 int float128_lt(float128, float128, float_status *status);
 707 int float128_unordered(float128, float128, float_status *status);
 708 int float128_eq_quiet(float128, float128, float_status *status);
 709 int float128_le_quiet(float128, float128, float_status *status);
 710 int float128_lt_quiet(float128, float128, float_status *status);
 711 int float128_unordered_quiet(float128, float128, float_status *status);
 712 int float128_compare(float128, float128, float_status *status);
 713 int float128_compare_quiet(float128, float128, float_status *status);
 714 int float128_is_quiet_nan( float128 );
 715 int float128_is_signaling_nan( float128 );
 716 float128 float128_maybe_silence_nan( float128 );
 717 float128 float128_scalbn(float128, int, float_status *status);
 718
 719 static inline float128 float128_abs(float128 a)
 720 {
 721     a.high &= 0x7fffffffffffffffLL;
 722     return a;
 723 }
 724
 725 static inline float128 float128_chs(float128 a)
 726 {
 727     a.high ^= 0x8000000000000000LL;
 728     return a;
 729 }
 730
 731 static inline int float128_is_infinity(float128 a)
 732 {
 733     return (a.high & 0x7fffffffffffffffLL) == 0x7fff000000000000LL && a.low == 0;
 734 }
 735
 736 static inline int float128_is_neg(float128 a)
 737 {
 738     return a.high >> 63;
 739 }
 740
 741 static inline int float128_is_zero(float128 a)
 742 {
 743     return (a.high & 0x7fffffffffffffffLL) == 0 && a.low == 0;
 744 }
 745
 746 static inline int float128_is_zero_or_denormal(float128 a)
 747 {
 748     return (a.high & 0x7fff000000000000LL) == 0;
 749 }
 750
 751 static inline int float128_is_any_nan(float128 a)
 752 {
 753     return ((a.high >> 48) & 0x7fff) == 0x7fff &&
 754         ((a.low != 0) || ((a.high & 0xffffffffffffLL) != 0));
 755 }
 756
 757 #define float128_zero make_float128(0, 0)
 758
 759 /*----------------------------------------------------------------------------
 760 | The pattern for a default generated quadruple-precision NaN.
 761 *----------------------------------------------------------------------------*/
 762 extern const float128 float128_default_nan;
 763
 764 #endif /* !SOFTFLOAT_H */