fpu/softfloat.h

   1 /*
   2  * QEMU float support
   3  *
   4  * Derived from SoftFloat.
   5  */
   6
   7 /*============================================================================
   8
   9 This C header file is part of the SoftFloat IEC/IEEE Floating-point Arithmetic
  10 Package, Release 2b.
  11
  12 Written by John R. Hauser.  This work was made possible in part by the
  13 International Computer Science Institute, located at Suite 600, 1947 Center
  14 Street, Berkeley, California 94704.  Funding was partially provided by the
  15 National Science Foundation under grant MIP-9311980.  The original version
  16 of this code was written as part of a project to build a fixed-point vector
  17 processor in collaboration with the University of California at Berkeley,
  18 overseen by Profs. Nelson Morgan and John Wawrzynek.  More information
  19 is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
  20 arithmetic/SoftFloat.html'.
  21
  22 THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE.  Although reasonable effort has
  23 been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
  24 RESULT IN INCORRECT BEHAVIOR.  USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
  25 AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
  26 COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
  27 EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
  28 INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR
  29 OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
  30
  31 Derivative works are acceptable, even for commercial purposes, so long as
  32 (1) the source code for the derivative work includes prominent notice that
  33 the work is derivative, and (2) the source code includes prominent notice with
  34 these four paragraphs for those parts of this code that are retained.
  35
  36 =============================================================================*/
  37
  38 #ifndef SOFTFLOAT_H
  39 #define SOFTFLOAT_H
  40
  41 #if defined(CONFIG_SOLARIS) && defined(CONFIG_NEEDS_LIBSUNMATH)
  42 #include <sunmath.h>
  43 #endif
  44
  45 #include <inttypes.h>
  46 #include "config-host.h"
  47
  48 /*----------------------------------------------------------------------------
  49 | Each of the following `typedef's defines the most convenient type that holds
  50 | integers of at least as many bits as specified.  For example, `uint8' should
  51 | be the most convenient type that can hold unsigned integers of as many as
  52 | 8 bits.  The `flag' type must be able to hold either a 0 or 1.  For most
  53 | implementations of C, `flag', `uint8', and `int8' should all be `typedef'ed
  54 | to the same as `int'.
  55 *----------------------------------------------------------------------------*/
  56 typedef uint8_t flag;
  57 typedef uint8_t uint8;
  58 typedef int8_t int8;
  59 #ifndef _AIX
  60 typedef int uint16;
  61 typedef int int16;
  62 #endif
  63 typedef unsigned int uint32;
  64 typedef signed int int32;
  65 typedef uint64_t uint64;
  66 typedef int64_t int64;
  67
  68 #define LIT64( a ) a##LL
  69 #define INLINE static inline
  70
  71 #define STATUS_PARAM , float_status *status
  72 #define STATUS(field) status->field
  73 #define STATUS_VAR , status
  74
  75 /*----------------------------------------------------------------------------
  76 | Software IEC/IEEE floating-point ordering relations
  77 *----------------------------------------------------------------------------*/
  78 enum {
  79     float_relation_less      = -1,
  80     float_relation_equal     =  0,
  81     float_relation_greater   =  1,
  82     float_relation_unordered =  2
  83 };
  84
  85 /*----------------------------------------------------------------------------
  86 | Software IEC/IEEE floating-point types.
  87 *----------------------------------------------------------------------------*/
  88 /* Use structures for soft-float types.  This prevents accidentally mixing
  89    them with native int/float types.  A sufficiently clever compiler and
  90    sane ABI should be able to see though these structs.  However
  91    x86/gcc 3.x seems to struggle a bit, so leave them disabled by default.  */
  92 //#define USE_SOFTFLOAT_STRUCT_TYPES
  93 #ifdef USE_SOFTFLOAT_STRUCT_TYPES
  94 typedef struct {
  95     uint16_t v;
  96 } float16;
  97 #define float16_val(x) (((float16)(x)).v)
  98 #define make_float16(x) __extension__ ({ float16 f16_val = {x}; f16_val; })
  99 #define const_float16(x) { x }
 100 typedef struct {
 101     uint32_t v;
 102 } float32;
 103 /* The cast ensures an error if the wrong type is passed.  */
 104 #define float32_val(x) (((float32)(x)).v)
 105 #define make_float32(x) __extension__ ({ float32 f32_val = {x}; f32_val; })
 106 #define const_float32(x) { x }
 107 typedef struct {
 108     uint64_t v;
 109 } float64;
 110 #define float64_val(x) (((float64)(x)).v)
 111 #define make_float64(x) __extension__ ({ float64 f64_val = {x}; f64_val; })
 112 #define const_float64(x) { x }
 113 #else
 114 typedef uint16_t float16;
 115 typedef uint32_t float32;
 116 typedef uint64_t float64;
 117 #define float16_val(x) (x)
 118 #define float32_val(x) (x)
 119 #define float64_val(x) (x)
 120 #define make_float16(x) (x)
 121 #define make_float32(x) (x)
 122 #define make_float64(x) (x)
 123 #define const_float16(x) (x)
 124 #define const_float32(x) (x)
 125 #define const_float64(x) (x)
 126 #endif
 127 typedef struct {
 128     uint64_t low;
 129     uint16_t high;
 130 } floatx80;
 131 #define make_floatx80(exp, mant) ((floatx80) { mant, exp })
 132 typedef struct {
 133 #ifdef HOST_WORDS_BIGENDIAN
 134     uint64_t high, low;
 135 #else
 136     uint64_t low, high;
 137 #endif
 138 } float128;
 139 #define make_float128(high_, low_) ((float128) { .high = high_, .low = low_ })
 140
 141 /*----------------------------------------------------------------------------
 142 | Software IEC/IEEE floating-point underflow tininess-detection mode.
 143 *----------------------------------------------------------------------------*/
 144 enum {
 145     float_tininess_after_rounding  = 0,
 146     float_tininess_before_rounding = 1
 147 };
 148
 149 /*----------------------------------------------------------------------------
 150 | Software IEC/IEEE floating-point rounding mode.
 151 *----------------------------------------------------------------------------*/
 152 enum {
 153     float_round_nearest_even = 0,
 154     float_round_down         = 1,
 155     float_round_up           = 2,
 156     float_round_to_zero      = 3
 157 };
 158
 159 /*----------------------------------------------------------------------------
 160 | Software IEC/IEEE floating-point exception flags.
 161 *----------------------------------------------------------------------------*/
 162 enum {
 163     float_flag_invalid   =  1,
 164     float_flag_divbyzero =  4,
 165     float_flag_overflow  =  8,
 166     float_flag_underflow = 16,
 167     float_flag_inexact   = 32,
 168     float_flag_input_denormal = 64,
 169     float_flag_output_denormal = 128
 170 };
 171
 172 typedef struct float_status {
 173     signed char float_detect_tininess;
 174     signed char float_rounding_mode;
 175     signed char float_exception_flags;
 176     signed char floatx80_rounding_precision;
 177     /* should denormalised results go to zero and set the inexact flag? */
 178     flag flush_to_zero;
 179     /* should denormalised inputs go to zero and set the input_denormal flag? */
 180     flag flush_inputs_to_zero;
 181     flag default_nan_mode;
 182 } float_status;
 183
 184 void set_float_rounding_mode(int val STATUS_PARAM);
 185 void set_float_exception_flags(int val STATUS_PARAM);
 186 INLINE void set_float_detect_tininess(int val STATUS_PARAM)
 187 {
 188     STATUS(float_detect_tininess) = val;
 189 }
 190 INLINE void set_flush_to_zero(flag val STATUS_PARAM)
 191 {
 192     STATUS(flush_to_zero) = val;
 193 }
 194 INLINE void set_flush_inputs_to_zero(flag val STATUS_PARAM)
 195 {
 196     STATUS(flush_inputs_to_zero) = val;
 197 }
 198 INLINE void set_default_nan_mode(flag val STATUS_PARAM)
 199 {
 200     STATUS(default_nan_mode) = val;
 201 }
 202 INLINE int get_float_exception_flags(float_status *status)
 203 {
 204     return STATUS(float_exception_flags);
 205 }
 206 void set_floatx80_rounding_precision(int val STATUS_PARAM);
 207
 208 /*----------------------------------------------------------------------------
 209 | Routine to raise any or all of the software IEC/IEEE floating-point
 210 | exception flags.
 211 *----------------------------------------------------------------------------*/
 212 void float_raise( int8 flags STATUS_PARAM);
 213
 214 /*----------------------------------------------------------------------------
 215 | Software IEC/IEEE integer-to-floating-point conversion routines.
 216 *----------------------------------------------------------------------------*/
 217 float32 int32_to_float32( int32 STATUS_PARAM );
 218 float64 int32_to_float64( int32 STATUS_PARAM );
 219 float32 uint32_to_float32( uint32 STATUS_PARAM );
 220 float64 uint32_to_float64( uint32 STATUS_PARAM );
 221 floatx80 int32_to_floatx80( int32 STATUS_PARAM );
 222 float128 int32_to_float128( int32 STATUS_PARAM );
 223 float32 int64_to_float32( int64 STATUS_PARAM );
 224 float32 uint64_to_float32( uint64 STATUS_PARAM );
 225 float64 int64_to_float64( int64 STATUS_PARAM );
 226 float64 uint64_to_float64( uint64 STATUS_PARAM );
 227 floatx80 int64_to_floatx80( int64 STATUS_PARAM );
 228 float128 int64_to_float128( int64 STATUS_PARAM );
 229
 230 /*----------------------------------------------------------------------------
 231 | Software half-precision conversion routines.
 232 *----------------------------------------------------------------------------*/
 233 float16 float32_to_float16( float32, flag STATUS_PARAM );
 234 float32 float16_to_float32( float16, flag STATUS_PARAM );
 235
 236 /*----------------------------------------------------------------------------
 237 | Software half-precision operations.
 238 *----------------------------------------------------------------------------*/
 239 int float16_is_quiet_nan( float16 );
 240 int float16_is_signaling_nan( float16 );
 241 float16 float16_maybe_silence_nan( float16 );
 242
 243 /*----------------------------------------------------------------------------
 244 | The pattern for a default generated half-precision NaN.
 245 *----------------------------------------------------------------------------*/
 246 extern const float16 float16_default_nan;
 247
 248 /*----------------------------------------------------------------------------
 249 | Software IEC/IEEE single-precision conversion routines.
 250 *----------------------------------------------------------------------------*/
 251 int16 float32_to_int16_round_to_zero( float32 STATUS_PARAM );
 252 uint16 float32_to_uint16_round_to_zero( float32 STATUS_PARAM );
 253 int32 float32_to_int32( float32 STATUS_PARAM );
 254 int32 float32_to_int32_round_to_zero( float32 STATUS_PARAM );
 255 uint32 float32_to_uint32( float32 STATUS_PARAM );
 256 uint32 float32_to_uint32_round_to_zero( float32 STATUS_PARAM );
 257 int64 float32_to_int64( float32 STATUS_PARAM );
 258 int64 float32_to_int64_round_to_zero( float32 STATUS_PARAM );
 259 float64 float32_to_float64( float32 STATUS_PARAM );
 260 floatx80 float32_to_floatx80( float32 STATUS_PARAM );
 261 float128 float32_to_float128( float32 STATUS_PARAM );
 262
 263 /*----------------------------------------------------------------------------
 264 | Software IEC/IEEE single-precision operations.
 265 *----------------------------------------------------------------------------*/
 266 float32 float32_round_to_int( float32 STATUS_PARAM );
 267 float32 float32_add( float32, float32 STATUS_PARAM );
 268 float32 float32_sub( float32, float32 STATUS_PARAM );
 269 float32 float32_mul( float32, float32 STATUS_PARAM );
 270 float32 float32_div( float32, float32 STATUS_PARAM );
 271 float32 float32_rem( float32, float32 STATUS_PARAM );
 272 float32 float32_sqrt( float32 STATUS_PARAM );
 273 float32 float32_exp2( float32 STATUS_PARAM );
 274 float32 float32_log2( float32 STATUS_PARAM );
 275 int float32_eq( float32, float32 STATUS_PARAM );
 276 int float32_le( float32, float32 STATUS_PARAM );
 277 int float32_lt( float32, float32 STATUS_PARAM );
 278 int float32_unordered( float32, float32 STATUS_PARAM );
 279 int float32_eq_quiet( float32, float32 STATUS_PARAM );
 280 int float32_le_quiet( float32, float32 STATUS_PARAM );
 281 int float32_lt_quiet( float32, float32 STATUS_PARAM );
 282 int float32_unordered_quiet( float32, float32 STATUS_PARAM );
 283 int float32_compare( float32, float32 STATUS_PARAM );
 284 int float32_compare_quiet( float32, float32 STATUS_PARAM );
 285 float32 float32_min(float32, float32 STATUS_PARAM);
 286 float32 float32_max(float32, float32 STATUS_PARAM);
 287 int float32_is_quiet_nan( float32 );
 288 int float32_is_signaling_nan( float32 );
 289 float32 float32_maybe_silence_nan( float32 );
 290 float32 float32_scalbn( float32, int STATUS_PARAM );
 291
 292 INLINE float32 float32_abs(float32 a)
 293 {
 294     /* Note that abs does *not* handle NaN specially, nor does
 295      * it flush denormal inputs to zero.
 296      */
 297     return make_float32(float32_val(a) & 0x7fffffff);
 298 }
 299
 300 INLINE float32 float32_chs(float32 a)
 301 {
 302     /* Note that chs does *not* handle NaN specially, nor does
 303      * it flush denormal inputs to zero.
 304      */
 305     return make_float32(float32_val(a) ^ 0x80000000);
 306 }
 307
 308 INLINE int float32_is_infinity(float32 a)
 309 {
 310     return (float32_val(a) & 0x7fffffff) == 0x7f800000;
 311 }
 312
 313 INLINE int float32_is_neg(float32 a)
 314 {
 315     return float32_val(a) >> 31;
 316 }
 317
 318 INLINE int float32_is_zero(float32 a)
 319 {
 320     return (float32_val(a) & 0x7fffffff) == 0;
 321 }
 322
 323 INLINE int float32_is_any_nan(float32 a)
 324 {
 325     return ((float32_val(a) & ~(1 << 31)) > 0x7f800000UL);
 326 }
 327
 328 INLINE int float32_is_zero_or_denormal(float32 a)
 329 {
 330     return (float32_val(a) & 0x7f800000) == 0;
 331 }
 332
 333 INLINE float32 float32_set_sign(float32 a, int sign)
 334 {
 335     return make_float32((float32_val(a) & 0x7fffffff) | (sign << 31));
 336 }
 337
 338 #define float32_zero make_float32(0)
 339 #define float32_one make_float32(0x3f800000)
 340 #define float32_ln2 make_float32(0x3f317218)
 341 #define float32_pi make_float32(0x40490fdb)
 342 #define float32_half make_float32(0x3f000000)
 343 #define float32_infinity make_float32(0x7f800000)
 344
 345
 346 /*----------------------------------------------------------------------------
 347 | The pattern for a default generated single-precision NaN.
 348 *----------------------------------------------------------------------------*/
 349 extern const float32 float32_default_nan;
 350
 351 /*----------------------------------------------------------------------------
 352 | Software IEC/IEEE double-precision conversion routines.
 353 *----------------------------------------------------------------------------*/
 354 int16 float64_to_int16_round_to_zero( float64 STATUS_PARAM );
 355 uint16 float64_to_uint16_round_to_zero( float64 STATUS_PARAM );
 356 int32 float64_to_int32( float64 STATUS_PARAM );
 357 int32 float64_to_int32_round_to_zero( float64 STATUS_PARAM );
 358 uint32 float64_to_uint32( float64 STATUS_PARAM );
 359 uint32 float64_to_uint32_round_to_zero( float64 STATUS_PARAM );
 360 int64 float64_to_int64( float64 STATUS_PARAM );
 361 int64 float64_to_int64_round_to_zero( float64 STATUS_PARAM );
 362 uint64 float64_to_uint64 (float64 a STATUS_PARAM);
 363 uint64 float64_to_uint64_round_to_zero (float64 a STATUS_PARAM);
 364 float32 float64_to_float32( float64 STATUS_PARAM );
 365 floatx80 float64_to_floatx80( float64 STATUS_PARAM );
 366 float128 float64_to_float128( float64 STATUS_PARAM );
 367
 368 /*----------------------------------------------------------------------------
 369 | Software IEC/IEEE double-precision operations.
 370 *----------------------------------------------------------------------------*/
 371 float64 float64_round_to_int( float64 STATUS_PARAM );
 372 float64 float64_trunc_to_int( float64 STATUS_PARAM );
 373 float64 float64_add( float64, float64 STATUS_PARAM );
 374 float64 float64_sub( float64, float64 STATUS_PARAM );
 375 float64 float64_mul( float64, float64 STATUS_PARAM );
 376 float64 float64_div( float64, float64 STATUS_PARAM );
 377 float64 float64_rem( float64, float64 STATUS_PARAM );
 378 float64 float64_sqrt( float64 STATUS_PARAM );
 379 float64 float64_log2( float64 STATUS_PARAM );
 380 int float64_eq( float64, float64 STATUS_PARAM );
 381 int float64_le( float64, float64 STATUS_PARAM );
 382 int float64_lt( float64, float64 STATUS_PARAM );
 383 int float64_unordered( float64, float64 STATUS_PARAM );
 384 int float64_eq_quiet( float64, float64 STATUS_PARAM );
 385 int float64_le_quiet( float64, float64 STATUS_PARAM );
 386 int float64_lt_quiet( float64, float64 STATUS_PARAM );
 387 int float64_unordered_quiet( float64, float64 STATUS_PARAM );
 388 int float64_compare( float64, float64 STATUS_PARAM );
 389 int float64_compare_quiet( float64, float64 STATUS_PARAM );
 390 float64 float64_min(float64, float64 STATUS_PARAM);
 391 float64 float64_max(float64, float64 STATUS_PARAM);
 392 int float64_is_quiet_nan( float64 a );
 393 int float64_is_signaling_nan( float64 );
 394 float64 float64_maybe_silence_nan( float64 );
 395 float64 float64_scalbn( float64, int STATUS_PARAM );
 396
 397 INLINE float64 float64_abs(float64 a)
 398 {
 399     /* Note that abs does *not* handle NaN specially, nor does
 400      * it flush denormal inputs to zero.
 401      */
 402     return make_float64(float64_val(a) & 0x7fffffffffffffffLL);
 403 }
 404
 405 INLINE float64 float64_chs(float64 a)
 406 {
 407     /* Note that chs does *not* handle NaN specially, nor does
 408      * it flush denormal inputs to zero.
 409      */
 410     return make_float64(float64_val(a) ^ 0x8000000000000000LL);
 411 }
 412
 413 INLINE int float64_is_infinity(float64 a)
 414 {
 415     return (float64_val(a) & 0x7fffffffffffffffLL ) == 0x7ff0000000000000LL;
 416 }
 417
 418 INLINE int float64_is_neg(float64 a)
 419 {
 420     return float64_val(a) >> 63;
 421 }
 422
 423 INLINE int float64_is_zero(float64 a)
 424 {
 425     return (float64_val(a) & 0x7fffffffffffffffLL) == 0;
 426 }
 427
 428 INLINE int float64_is_any_nan(float64 a)
 429 {
 430     return ((float64_val(a) & ~(1ULL << 63)) > 0x7ff0000000000000ULL);
 431 }
 432
 433 INLINE int float64_is_zero_or_denormal(float64 a)
 434 {
 435     return (float64_val(a) & 0x7ff0000000000000LL) == 0;
 436 }
 437
 438 INLINE float64 float64_set_sign(float64 a, int sign)
 439 {
 440     return make_float64((float64_val(a) & 0x7fffffffffffffffULL)
 441                         | ((int64_t)sign << 63));
 442 }
 443
 444 #define float64_zero make_float64(0)
 445 #define float64_one make_float64(0x3ff0000000000000LL)
 446 #define float64_ln2 make_float64(0x3fe62e42fefa39efLL)
 447 #define float64_pi make_float64(0x400921fb54442d18LL)
 448 #define float64_half make_float64(0x3fe0000000000000LL)
 449 #define float64_infinity make_float64(0x7ff0000000000000LL)
 450
 451 /*----------------------------------------------------------------------------
 452 | The pattern for a default generated double-precision NaN.
 453 *----------------------------------------------------------------------------*/
 454 extern const float64 float64_default_nan;
 455
 456 /*----------------------------------------------------------------------------
 457 | Software IEC/IEEE extended double-precision conversion routines.
 458 *----------------------------------------------------------------------------*/
 459 int32 floatx80_to_int32( floatx80 STATUS_PARAM );
 460 int32 floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
 461 int64 floatx80_to_int64( floatx80 STATUS_PARAM );
 462 int64 floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM );
 463 float32 floatx80_to_float32( floatx80 STATUS_PARAM );
 464 float64 floatx80_to_float64( floatx80 STATUS_PARAM );
 465 float128 floatx80_to_float128( floatx80 STATUS_PARAM );
 466
 467 /*----------------------------------------------------------------------------
 468 | Software IEC/IEEE extended double-precision operations.
 469 *----------------------------------------------------------------------------*/
 470 floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
 471 floatx80 floatx80_add( floatx80, floatx80 STATUS_PARAM );
 472 floatx80 floatx80_sub( floatx80, floatx80 STATUS_PARAM );
 473 floatx80 floatx80_mul( floatx80, floatx80 STATUS_PARAM );
 474 floatx80 floatx80_div( floatx80, floatx80 STATUS_PARAM );
 475 floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
 476 floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
 477 int floatx80_eq( floatx80, floatx80 STATUS_PARAM );
 478 int floatx80_le( floatx80, floatx80 STATUS_PARAM );
 479 int floatx80_lt( floatx80, floatx80 STATUS_PARAM );
 480 int floatx80_unordered( floatx80, floatx80 STATUS_PARAM );
 481 int floatx80_eq_quiet( floatx80, floatx80 STATUS_PARAM );
 482 int floatx80_le_quiet( floatx80, floatx80 STATUS_PARAM );
 483 int floatx80_lt_quiet( floatx80, floatx80 STATUS_PARAM );
 484 int floatx80_unordered_quiet( floatx80, floatx80 STATUS_PARAM );
 485 int floatx80_compare( floatx80, floatx80 STATUS_PARAM );
 486 int floatx80_compare_quiet( floatx80, floatx80 STATUS_PARAM );
 487 int floatx80_is_quiet_nan( floatx80 );
 488 int floatx80_is_signaling_nan( floatx80 );
 489 floatx80 floatx80_maybe_silence_nan( floatx80 );
 490 floatx80 floatx80_scalbn( floatx80, int STATUS_PARAM );
 491
 492 INLINE floatx80 floatx80_abs(floatx80 a)
 493 {
 494     a.high &= 0x7fff;
 495     return a;
 496 }
 497
 498 INLINE floatx80 floatx80_chs(floatx80 a)
 499 {
 500     a.high ^= 0x8000;
 501     return a;
 502 }
 503
 504 INLINE int floatx80_is_infinity(floatx80 a)
 505 {
 506     return (a.high & 0x7fff) == 0x7fff && a.low == 0x8000000000000000LL;
 507 }
 508
 509 INLINE int floatx80_is_neg(floatx80 a)
 510 {
 511     return a.high >> 15;
 512 }
 513
 514 INLINE int floatx80_is_zero(floatx80 a)
 515 {
 516     return (a.high & 0x7fff) == 0 && a.low == 0;
 517 }
 518
 519 INLINE int floatx80_is_zero_or_denormal(floatx80 a)
 520 {
 521     return (a.high & 0x7fff) == 0;
 522 }
 523
 524 INLINE int floatx80_is_any_nan(floatx80 a)
 525 {
 526     return ((a.high & 0x7fff) == 0x7fff) && (a.low<<1);
 527 }
 528
 529 #define floatx80_zero make_floatx80(0x0000, 0x0000000000000000LL)
 530 #define floatx80_one make_floatx80(0x3fff, 0x8000000000000000LL)
 531 #define floatx80_ln2 make_floatx80(0x3ffe, 0xb17217f7d1cf79acLL)
 532 #define floatx80_pi make_floatx80(0x4000, 0xc90fdaa22168c235LL)
 533 #define floatx80_half make_floatx80(0x3ffe, 0x8000000000000000LL)
 534 #define floatx80_infinity make_floatx80(0x7fff, 0x8000000000000000LL)
 535
 536 /*----------------------------------------------------------------------------
 537 | The pattern for a default generated extended double-precision NaN.
 538 *----------------------------------------------------------------------------*/
 539 extern const floatx80 floatx80_default_nan;
 540
 541 /*----------------------------------------------------------------------------
 542 | Software IEC/IEEE quadruple-precision conversion routines.
 543 *----------------------------------------------------------------------------*/
 544 int32 float128_to_int32( float128 STATUS_PARAM );
 545 int32 float128_to_int32_round_to_zero( float128 STATUS_PARAM );
 546 int64 float128_to_int64( float128 STATUS_PARAM );
 547 int64 float128_to_int64_round_to_zero( float128 STATUS_PARAM );
 548 float32 float128_to_float32( float128 STATUS_PARAM );
 549 float64 float128_to_float64( float128 STATUS_PARAM );
 550 floatx80 float128_to_floatx80( float128 STATUS_PARAM );
 551
 552 /*----------------------------------------------------------------------------
 553 | Software IEC/IEEE quadruple-precision operations.
 554 *----------------------------------------------------------------------------*/
 555 float128 float128_round_to_int( float128 STATUS_PARAM );
 556 float128 float128_add( float128, float128 STATUS_PARAM );
 557 float128 float128_sub( float128, float128 STATUS_PARAM );
 558 float128 float128_mul( float128, float128 STATUS_PARAM );
 559 float128 float128_div( float128, float128 STATUS_PARAM );
 560 float128 float128_rem( float128, float128 STATUS_PARAM );
 561 float128 float128_sqrt( float128 STATUS_PARAM );
 562 int float128_eq( float128, float128 STATUS_PARAM );
 563 int float128_le( float128, float128 STATUS_PARAM );
 564 int float128_lt( float128, float128 STATUS_PARAM );
 565 int float128_unordered( float128, float128 STATUS_PARAM );
 566 int float128_eq_quiet( float128, float128 STATUS_PARAM );
 567 int float128_le_quiet( float128, float128 STATUS_PARAM );
 568 int float128_lt_quiet( float128, float128 STATUS_PARAM );
 569 int float128_unordered_quiet( float128, float128 STATUS_PARAM );
 570 int float128_compare( float128, float128 STATUS_PARAM );
 571 int float128_compare_quiet( float128, float128 STATUS_PARAM );
 572 int float128_is_quiet_nan( float128 );
 573 int float128_is_signaling_nan( float128 );
 574 float128 float128_maybe_silence_nan( float128 );
 575 float128 float128_scalbn( float128, int STATUS_PARAM );
 576
 577 INLINE float128 float128_abs(float128 a)
 578 {
 579     a.high &= 0x7fffffffffffffffLL;
 580     return a;
 581 }
 582
 583 INLINE float128 float128_chs(float128 a)
 584 {
 585     a.high ^= 0x8000000000000000LL;
 586     return a;
 587 }
 588
 589 INLINE int float128_is_infinity(float128 a)
 590 {
 591     return (a.high & 0x7fffffffffffffffLL) == 0x7fff000000000000LL && a.low == 0;
 592 }
 593
 594 INLINE int float128_is_neg(float128 a)
 595 {
 596     return a.high >> 63;
 597 }
 598
 599 INLINE int float128_is_zero(float128 a)
 600 {
 601     return (a.high & 0x7fffffffffffffffLL) == 0 && a.low == 0;
 602 }
 603
 604 INLINE int float128_is_zero_or_denormal(float128 a)
 605 {
 606     return (a.high & 0x7fff000000000000LL) == 0;
 607 }
 608
 609 INLINE int float128_is_any_nan(float128 a)
 610 {
 611     return ((a.high >> 48) & 0x7fff) == 0x7fff &&
 612         ((a.low != 0) || ((a.high & 0xffffffffffffLL) != 0));
 613 }
 614
 615 /*----------------------------------------------------------------------------
 616 | The pattern for a default generated quadruple-precision NaN.
 617 *----------------------------------------------------------------------------*/
 618 extern const float128 float128_default_nan;
 619
 620 #endif /* !SOFTFLOAT_H */