fpu/softfloat-native.h

   1 /* Native implementation of soft float functions */
   2 #include <math.h>
   3
   4 #if (defined(CONFIG_BSD) && !defined(__APPLE__) && !defined(__GLIBC__)) \
   5     || defined(CONFIG_SOLARIS)
   6 #include <ieeefp.h>
   7 #define fabsf(f) ((float)fabs(f))
   8 #else
   9 #include <fenv.h>
  10 #endif
  11
  12 #if defined(__OpenBSD__) || defined(__NetBSD__)
  13 #include <sys/param.h>
  14 #endif
  15
  16 /*
  17  * Define some C99-7.12.3 classification macros and
  18  *        some C99-.12.4 for Solaris systems OS less than 10,
  19  *        or Solaris 10 systems running GCC 3.x or less.
  20  *   Solaris 10 with GCC4 does not need these macros as they
  21  *   are defined in <iso/math_c99.h> with a compiler directive
  22  */
  23 #if defined(CONFIG_SOLARIS) && \
  24            ((CONFIG_SOLARIS_VERSION <= 9 ) || \
  25            ((CONFIG_SOLARIS_VERSION == 10) && (__GNUC__ < 4))) \
  26     || (defined(__OpenBSD__) && (OpenBSD < 200811))
  27 /*
  28  * C99 7.12.3 classification macros
  29  * and
  30  * C99 7.12.14 comparison macros
  31  *
  32  * ... do not work on Solaris 10 using GNU CC 3.4.x.
  33  * Try to workaround the missing / broken C99 math macros.
  34  */
  35 #if defined(__OpenBSD__)
  36 #define unordered(x, y) (isnan(x) || isnan(y))
  37 #endif
  38
  39 #ifdef __NetBSD__
  40 #ifndef isgreater
  41 #define isgreater(x, y)         __builtin_isgreater(x, y)
  42 #endif
  43 #ifndef isgreaterequal
  44 #define isgreaterequal(x, y)    __builtin_isgreaterequal(x, y)
  45 #endif
  46 #ifndef isless
  47 #define isless(x, y)            __builtin_isless(x, y)
  48 #endif
  49 #ifndef islessequal
  50 #define islessequal(x, y)       __builtin_islessequal(x, y)
  51 #endif
  52 #ifndef isunordered
  53 #define isunordered(x, y)       __builtin_isunordered(x, y)
  54 #endif
  55 #endif
  56
  57
  58 #define isnormal(x)             (fpclass(x) >= FP_NZERO)
  59 #define isgreater(x, y)         ((!unordered(x, y)) && ((x) > (y)))
  60 #define isgreaterequal(x, y)    ((!unordered(x, y)) && ((x) >= (y)))
  61 #define isless(x, y)            ((!unordered(x, y)) && ((x) < (y)))
  62 #define islessequal(x, y)       ((!unordered(x, y)) && ((x) <= (y)))
  63 #define isunordered(x,y)        unordered(x, y)
  64 #endif
  65
  66 #if defined(__sun__) && !defined(CONFIG_NEEDS_LIBSUNMATH)
  67
  68 #ifndef isnan
  69 # define isnan(x) \
  70     (sizeof (x) == sizeof (long double) ? isnan_ld (x) \
  71      : sizeof (x) == sizeof (double) ? isnan_d (x) \
  72      : isnan_f (x))
  73 static inline int isnan_f  (float       x) { return x != x; }
  74 static inline int isnan_d  (double      x) { return x != x; }
  75 static inline int isnan_ld (long double x) { return x != x; }
  76 #endif
  77
  78 #ifndef isinf
  79 # define isinf(x) \
  80     (sizeof (x) == sizeof (long double) ? isinf_ld (x) \
  81      : sizeof (x) == sizeof (double) ? isinf_d (x) \
  82      : isinf_f (x))
  83 static inline int isinf_f  (float       x) { return isnan (x - x); }
  84 static inline int isinf_d  (double      x) { return isnan (x - x); }
  85 static inline int isinf_ld (long double x) { return isnan (x - x); }
  86 #endif
  87 #endif
  88
  89 typedef float float32;
  90 typedef double float64;
  91 #ifdef FLOATX80
  92 typedef long double floatx80;
  93 #endif
  94
  95 typedef union {
  96     float32 f;
  97     uint32_t i;
  98 } float32u;
  99 typedef union {
 100     float64 f;
 101     uint64_t i;
 102 } float64u;
 103 #ifdef FLOATX80
 104 typedef union {
 105     floatx80 f;
 106     struct {
 107         uint64_t low;
 108         uint16_t high;
 109     } i;
 110 } floatx80u;
 111 #endif
 112
 113 /*----------------------------------------------------------------------------
 114 | Software IEC/IEEE floating-point rounding mode.
 115 *----------------------------------------------------------------------------*/
 116 #if (defined(CONFIG_BSD) && !defined(__APPLE__) && !defined(__GLIBC__)) \
 117     || defined(CONFIG_SOLARIS)
 118 #if defined(__OpenBSD__)
 119 #define FE_RM FP_RM
 120 #define FE_RP FP_RP
 121 #define FE_RZ FP_RZ
 122 #endif
 123 enum {
 124     float_round_nearest_even = FP_RN,
 125     float_round_down         = FP_RM,
 126     float_round_up           = FP_RP,
 127     float_round_to_zero      = FP_RZ
 128 };
 129 #else
 130 enum {
 131     float_round_nearest_even = FE_TONEAREST,
 132     float_round_down         = FE_DOWNWARD,
 133     float_round_up           = FE_UPWARD,
 134     float_round_to_zero      = FE_TOWARDZERO
 135 };
 136 #endif
 137
 138 typedef struct float_status {
 139     int float_rounding_mode;
 140 #ifdef FLOATX80
 141     int floatx80_rounding_precision;
 142 #endif
 143 } float_status;
 144
 145 void set_float_rounding_mode(int val STATUS_PARAM);
 146 #ifdef FLOATX80
 147 void set_floatx80_rounding_precision(int val STATUS_PARAM);
 148 #endif
 149
 150 /*----------------------------------------------------------------------------
 151 | Software IEC/IEEE integer-to-floating-point conversion routines.
 152 *----------------------------------------------------------------------------*/
 153 float32 int32_to_float32( int STATUS_PARAM);
 154 float32 uint32_to_float32( unsigned int STATUS_PARAM);
 155 float64 int32_to_float64( int STATUS_PARAM);
 156 float64 uint32_to_float64( unsigned int STATUS_PARAM);
 157 #ifdef FLOATX80
 158 floatx80 int32_to_floatx80( int STATUS_PARAM);
 159 #endif
 160 #ifdef FLOAT128
 161 float128 int32_to_float128( int STATUS_PARAM);
 162 #endif
 163 float32 int64_to_float32( int64_t STATUS_PARAM);
 164 float32 uint64_to_float32( uint64_t STATUS_PARAM);
 165 float64 int64_to_float64( int64_t STATUS_PARAM);
 166 float64 uint64_to_float64( uint64_t v STATUS_PARAM);
 167 #ifdef FLOATX80
 168 floatx80 int64_to_floatx80( int64_t STATUS_PARAM);
 169 #endif
 170 #ifdef FLOAT128
 171 float128 int64_to_float128( int64_t STATUS_PARAM);
 172 #endif
 173
 174 /*----------------------------------------------------------------------------
 175 | Software IEC/IEEE single-precision conversion constants.
 176 *----------------------------------------------------------------------------*/
 177 #define float32_zero (0.0)
 178 #define float32_one (1.0)
 179 #define float32_ln2 (0.6931471)
 180 #define float32_pi (3.1415926)
 181 #define float32_half (0.5)
 182
 183 /*----------------------------------------------------------------------------
 184 | Software IEC/IEEE single-precision conversion routines.
 185 *----------------------------------------------------------------------------*/
 186 int float32_to_int32( float32  STATUS_PARAM);
 187 int float32_to_int32_round_to_zero( float32  STATUS_PARAM);
 188 unsigned int float32_to_uint32( float32 a STATUS_PARAM);
 189 unsigned int float32_to_uint32_round_to_zero( float32 a STATUS_PARAM);
 190 int64_t float32_to_int64( float32  STATUS_PARAM);
 191 int64_t float32_to_int64_round_to_zero( float32  STATUS_PARAM);
 192 float64 float32_to_float64( float32  STATUS_PARAM);
 193 #ifdef FLOATX80
 194 floatx80 float32_to_floatx80( float32  STATUS_PARAM);
 195 #endif
 196 #ifdef FLOAT128
 197 float128 float32_to_float128( float32  STATUS_PARAM);
 198 #endif
 199
 200 /*----------------------------------------------------------------------------
 201 | Software IEC/IEEE single-precision operations.
 202 *----------------------------------------------------------------------------*/
 203 float32 float32_round_to_int( float32  STATUS_PARAM);
 204 INLINE float32 float32_add( float32 a, float32 b STATUS_PARAM)
 205 {
 206     return a + b;
 207 }
 208 INLINE float32 float32_sub( float32 a, float32 b STATUS_PARAM)
 209 {
 210     return a - b;
 211 }
 212 INLINE float32 float32_mul( float32 a, float32 b STATUS_PARAM)
 213 {
 214     return a * b;
 215 }
 216 INLINE float32 float32_div( float32 a, float32 b STATUS_PARAM)
 217 {
 218     return a / b;
 219 }
 220 float32 float32_rem( float32, float32  STATUS_PARAM);
 221 float32 float32_sqrt( float32  STATUS_PARAM);
 222 INLINE int float32_eq_quiet( float32 a, float32 b STATUS_PARAM)
 223 {
 224     return a == b;
 225 }
 226 INLINE int float32_le( float32 a, float32 b STATUS_PARAM)
 227 {
 228     return a <= b;
 229 }
 230 INLINE int float32_lt( float32 a, float32 b STATUS_PARAM)
 231 {
 232     return a < b;
 233 }
 234 INLINE int float32_eq( float32 a, float32 b STATUS_PARAM)
 235 {
 236     return a <= b && a >= b;
 237 }
 238 INLINE int float32_le_quiet( float32 a, float32 b STATUS_PARAM)
 239 {
 240     return islessequal(a, b);
 241 }
 242 INLINE int float32_lt_quiet( float32 a, float32 b STATUS_PARAM)
 243 {
 244     return isless(a, b);
 245 }
 246 INLINE int float32_unordered( float32 a, float32 b STATUS_PARAM)
 247 {
 248     return isunordered(a, b);
 249 }
 250 INLINE int float32_unordered_quiet( float32 a, float32 b STATUS_PARAM)
 251 {
 252     return isunordered(a, b);
 253 }
 254 int float32_compare( float32, float32 STATUS_PARAM );
 255 int float32_compare_quiet( float32, float32 STATUS_PARAM );
 256 int float32_is_signaling_nan( float32 );
 257 int float32_is_quiet_nan( float32 );
 258 int float32_is_any_nan( float32 );
 259
 260 INLINE float32 float32_abs(float32 a)
 261 {
 262     return fabsf(a);
 263 }
 264
 265 INLINE float32 float32_chs(float32 a)
 266 {
 267     return -a;
 268 }
 269
 270 INLINE float32 float32_is_infinity(float32 a)
 271 {
 272     return fpclassify(a) == FP_INFINITE;
 273 }
 274
 275 INLINE float32 float32_is_neg(float32 a)
 276 {
 277     float32u u;
 278     u.f = a;
 279     return u.i >> 31;
 280 }
 281
 282 INLINE float32 float32_is_zero(float32 a)
 283 {
 284     return fpclassify(a) == FP_ZERO;
 285 }
 286
 287 INLINE float32 float32_scalbn(float32 a, int n STATUS_PARAM)
 288 {
 289     return scalbnf(a, n);
 290 }
 291
 292 /*----------------------------------------------------------------------------
 293 | Software IEC/IEEE double-precision conversion constants.
 294 *----------------------------------------------------------------------------*/
 295 #define float64_zero (0.0)
 296 #define float64_one (1.0)
 297 #define float64_ln2 (0.693147180559945)
 298 #define float64_pi (3.141592653589793)
 299 #define float64_half (0.5)
 300
 301 /*----------------------------------------------------------------------------
 302 | Software IEC/IEEE double-precision conversion routines.
 303 *----------------------------------------------------------------------------*/
 304 int float64_to_int32( float64 STATUS_PARAM );
 305 int float64_to_int32_round_to_zero( float64 STATUS_PARAM );
 306 unsigned int float64_to_uint32( float64 STATUS_PARAM );
 307 unsigned int float64_to_uint32_round_to_zero( float64 STATUS_PARAM );
 308 int64_t float64_to_int64( float64 STATUS_PARAM );
 309 int64_t float64_to_int64_round_to_zero( float64 STATUS_PARAM );
 310 uint64_t float64_to_uint64( float64 STATUS_PARAM );
 311 uint64_t float64_to_uint64_round_to_zero( float64 STATUS_PARAM );
 312 float32 float64_to_float32( float64 STATUS_PARAM );
 313 #ifdef FLOATX80
 314 floatx80 float64_to_floatx80( float64 STATUS_PARAM );
 315 #endif
 316 #ifdef FLOAT128
 317 float128 float64_to_float128( float64 STATUS_PARAM );
 318 #endif
 319
 320 /*----------------------------------------------------------------------------
 321 | Software IEC/IEEE double-precision operations.
 322 *----------------------------------------------------------------------------*/
 323 float64 float64_round_to_int( float64 STATUS_PARAM );
 324 float64 float64_trunc_to_int( float64 STATUS_PARAM );
 325 INLINE float64 float64_add( float64 a, float64 b STATUS_PARAM)
 326 {
 327     return a + b;
 328 }
 329 INLINE float64 float64_sub( float64 a, float64 b STATUS_PARAM)
 330 {
 331     return a - b;
 332 }
 333 INLINE float64 float64_mul( float64 a, float64 b STATUS_PARAM)
 334 {
 335     return a * b;
 336 }
 337 INLINE float64 float64_div( float64 a, float64 b STATUS_PARAM)
 338 {
 339     return a / b;
 340 }
 341 float64 float64_rem( float64, float64 STATUS_PARAM );
 342 float64 float64_sqrt( float64 STATUS_PARAM );
 343 INLINE int float64_eq_quiet( float64 a, float64 b STATUS_PARAM)
 344 {
 345     return a == b;
 346 }
 347 INLINE int float64_le( float64 a, float64 b STATUS_PARAM)
 348 {
 349     return a <= b;
 350 }
 351 INLINE int float64_lt( float64 a, float64 b STATUS_PARAM)
 352 {
 353     return a < b;
 354 }
 355 INLINE int float64_eq( float64 a, float64 b STATUS_PARAM)
 356 {
 357     return a <= b && a >= b;
 358 }
 359 INLINE int float64_le_quiet( float64 a, float64 b STATUS_PARAM)
 360 {
 361     return islessequal(a, b);
 362 }
 363 INLINE int float64_lt_quiet( float64 a, float64 b STATUS_PARAM)
 364 {
 365     return isless(a, b);
 366
 367 }
 368 INLINE int float64_unordered( float64 a, float64 b STATUS_PARAM)
 369 {
 370     return isunordered(a, b);
 371 }
 372 INLINE int float64_unordered_quiet( float64 a, float64 b STATUS_PARAM)
 373 {
 374     return isunordered(a, b);
 375 }
 376 int float64_compare( float64, float64 STATUS_PARAM );
 377 int float64_compare_quiet( float64, float64 STATUS_PARAM );
 378 int float64_is_signaling_nan( float64 );
 379 int float64_is_any_nan( float64 );
 380 int float64_is_quiet_nan( float64 );
 381
 382 INLINE float64 float64_abs(float64 a)
 383 {
 384     return fabs(a);
 385 }
 386
 387 INLINE float64 float64_chs(float64 a)
 388 {
 389     return -a;
 390 }
 391
 392 INLINE float64 float64_is_infinity(float64 a)
 393 {
 394     return fpclassify(a) == FP_INFINITE;
 395 }
 396
 397 INLINE float64 float64_is_neg(float64 a)
 398 {
 399     float64u u;
 400     u.f = a;
 401     return u.i >> 63;
 402 }
 403
 404 INLINE float64 float64_is_zero(float64 a)
 405 {
 406     return fpclassify(a) == FP_ZERO;
 407 }
 408
 409 INLINE float64 float64_scalbn(float64 a, int n STATUS_PARAM)
 410 {
 411     return scalbn(a, n);
 412 }
 413
 414 #ifdef FLOATX80
 415
 416 /*----------------------------------------------------------------------------
 417 | Software IEC/IEEE extended double-precision conversion constants.
 418 *----------------------------------------------------------------------------*/
 419 #define floatx80_zero (0.0L)
 420 #define floatx80_one (1.0L)
 421 #define floatx80_ln2 (0.69314718055994530943L)
 422 #define floatx80_pi (3.14159265358979323851L)
 423 #define floatx80_half (0.5L)
 424
 425 /*----------------------------------------------------------------------------
 426 | Software IEC/IEEE extended double-precision conversion routines.
 427 *----------------------------------------------------------------------------*/
 428 int floatx80_to_int32( floatx80 STATUS_PARAM );
 429 int floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
 430 int64_t floatx80_to_int64( floatx80 STATUS_PARAM);
 431 int64_t floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM);
 432 float32 floatx80_to_float32( floatx80 STATUS_PARAM );
 433 float64 floatx80_to_float64( floatx80 STATUS_PARAM );
 434 #ifdef FLOAT128
 435 float128 floatx80_to_float128( floatx80 STATUS_PARAM );
 436 #endif
 437
 438 /*----------------------------------------------------------------------------
 439 | Software IEC/IEEE extended double-precision operations.
 440 *----------------------------------------------------------------------------*/
 441 floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
 442 INLINE floatx80 floatx80_add( floatx80 a, floatx80 b STATUS_PARAM)
 443 {
 444     return a + b;
 445 }
 446 INLINE floatx80 floatx80_sub( floatx80 a, floatx80 b STATUS_PARAM)
 447 {
 448     return a - b;
 449 }
 450 INLINE floatx80 floatx80_mul( floatx80 a, floatx80 b STATUS_PARAM)
 451 {
 452     return a * b;
 453 }
 454 INLINE floatx80 floatx80_div( floatx80 a, floatx80 b STATUS_PARAM)
 455 {
 456     return a / b;
 457 }
 458 floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
 459 floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
 460 INLINE int floatx80_eq_quiet( floatx80 a, floatx80 b STATUS_PARAM)
 461 {
 462     return a == b;
 463 }
 464 INLINE int floatx80_le( floatx80 a, floatx80 b STATUS_PARAM)
 465 {
 466     return a <= b;
 467 }
 468 INLINE int floatx80_lt( floatx80 a, floatx80 b STATUS_PARAM)
 469 {
 470     return a < b;
 471 }
 472 INLINE int floatx80_eq( floatx80 a, floatx80 b STATUS_PARAM)
 473 {
 474     return a <= b && a >= b;
 475 }
 476 INLINE int floatx80_le_quiet( floatx80 a, floatx80 b STATUS_PARAM)
 477 {
 478     return islessequal(a, b);
 479 }
 480 INLINE int floatx80_lt_quiet( floatx80 a, floatx80 b STATUS_PARAM)
 481 {
 482     return isless(a, b);
 483
 484 }
 485 INLINE int floatx80_unordered( floatx80 a, floatx80 b STATUS_PARAM)
 486 {
 487     return isunordered(a, b);
 488 }
 489 INLINE int floatx80_unordered_quiet( floatx80 a, floatx80 b STATUS_PARAM)
 490 {
 491     return isunordered(a, b);
 492 }
 493 int floatx80_compare( floatx80, floatx80 STATUS_PARAM );
 494 int floatx80_compare_quiet( floatx80, floatx80 STATUS_PARAM );
 495 int floatx80_is_signaling_nan( floatx80 );
 496 int floatx80_is_quiet_nan( floatx80 );
 497 int floatx80_is_any_nan( floatx80 );
 498
 499 INLINE floatx80 floatx80_abs(floatx80 a)
 500 {
 501     return fabsl(a);
 502 }
 503
 504 INLINE floatx80 floatx80_chs(floatx80 a)
 505 {
 506     return -a;
 507 }
 508
 509 INLINE floatx80 floatx80_is_infinity(floatx80 a)
 510 {
 511     return fpclassify(a) == FP_INFINITE;
 512 }
 513
 514 INLINE floatx80 floatx80_is_neg(floatx80 a)
 515 {
 516     floatx80u u;
 517     u.f = a;
 518     return u.i.high >> 15;
 519 }
 520
 521 INLINE floatx80 floatx80_is_zero(floatx80 a)
 522 {
 523     return fpclassify(a) == FP_ZERO;
 524 }
 525
 526 INLINE floatx80 floatx80_scalbn(floatx80 a, int n STATUS_PARAM)
 527 {
 528     return scalbnl(a, n);
 529 }
 530
 531 #endif