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
 259 INLINE float32 float32_abs(float32 a)
 260 {
 261     return fabsf(a);
 262 }
 263
 264 INLINE float32 float32_chs(float32 a)
 265 {
 266     return -a;
 267 }
 268
 269 INLINE float32 float32_is_infinity(float32 a)
 270 {
 271     return fpclassify(a) == FP_INFINITE;
 272 }
 273
 274 INLINE float32 float32_is_neg(float32 a)
 275 {
 276     float32u u;
 277     u.f = a;
 278     return u.i >> 31;
 279 }
 280
 281 INLINE float32 float32_is_zero(float32 a)
 282 {
 283     return fpclassify(a) == FP_ZERO;
 284 }
 285
 286 INLINE float32 float32_scalbn(float32 a, int n)
 287 {
 288     return scalbnf(a, n);
 289 }
 290
 291 /*----------------------------------------------------------------------------
 292 | Software IEC/IEEE double-precision conversion constants.
 293 *----------------------------------------------------------------------------*/
 294 #define float64_zero (0.0)
 295 #define float64_one (1.0)
 296 #define float64_ln2 (0.693147180559945)
 297 #define float64_pi (3.141592653589793)
 298 #define float64_half (0.5)
 299
 300 /*----------------------------------------------------------------------------
 301 | Software IEC/IEEE double-precision conversion routines.
 302 *----------------------------------------------------------------------------*/
 303 int float64_to_int32( float64 STATUS_PARAM );
 304 int float64_to_int32_round_to_zero( float64 STATUS_PARAM );
 305 unsigned int float64_to_uint32( float64 STATUS_PARAM );
 306 unsigned int float64_to_uint32_round_to_zero( float64 STATUS_PARAM );
 307 int64_t float64_to_int64( float64 STATUS_PARAM );
 308 int64_t float64_to_int64_round_to_zero( float64 STATUS_PARAM );
 309 uint64_t float64_to_uint64( float64 STATUS_PARAM );
 310 uint64_t float64_to_uint64_round_to_zero( float64 STATUS_PARAM );
 311 float32 float64_to_float32( float64 STATUS_PARAM );
 312 #ifdef FLOATX80
 313 floatx80 float64_to_floatx80( float64 STATUS_PARAM );
 314 #endif
 315 #ifdef FLOAT128
 316 float128 float64_to_float128( float64 STATUS_PARAM );
 317 #endif
 318
 319 /*----------------------------------------------------------------------------
 320 | Software IEC/IEEE double-precision operations.
 321 *----------------------------------------------------------------------------*/
 322 float64 float64_round_to_int( float64 STATUS_PARAM );
 323 float64 float64_trunc_to_int( float64 STATUS_PARAM );
 324 INLINE float64 float64_add( float64 a, float64 b STATUS_PARAM)
 325 {
 326     return a + b;
 327 }
 328 INLINE float64 float64_sub( float64 a, float64 b STATUS_PARAM)
 329 {
 330     return a - b;
 331 }
 332 INLINE float64 float64_mul( float64 a, float64 b STATUS_PARAM)
 333 {
 334     return a * b;
 335 }
 336 INLINE float64 float64_div( float64 a, float64 b STATUS_PARAM)
 337 {
 338     return a / b;
 339 }
 340 float64 float64_rem( float64, float64 STATUS_PARAM );
 341 float64 float64_sqrt( float64 STATUS_PARAM );
 342 INLINE int float64_eq_quiet( float64 a, float64 b STATUS_PARAM)
 343 {
 344     return a == b;
 345 }
 346 INLINE int float64_le( float64 a, float64 b STATUS_PARAM)
 347 {
 348     return a <= b;
 349 }
 350 INLINE int float64_lt( float64 a, float64 b STATUS_PARAM)
 351 {
 352     return a < b;
 353 }
 354 INLINE int float64_eq( float64 a, float64 b STATUS_PARAM)
 355 {
 356     return a <= b && a >= b;
 357 }
 358 INLINE int float64_le_quiet( float64 a, float64 b STATUS_PARAM)
 359 {
 360     return islessequal(a, b);
 361 }
 362 INLINE int float64_lt_quiet( float64 a, float64 b STATUS_PARAM)
 363 {
 364     return isless(a, b);
 365
 366 }
 367 INLINE int float64_unordered( float64 a, float64 b STATUS_PARAM)
 368 {
 369     return isunordered(a, b);
 370 }
 371 INLINE int float64_unordered_quiet( float64 a, float64 b STATUS_PARAM)
 372 {
 373     return isunordered(a, b);
 374 }
 375 int float64_compare( float64, float64 STATUS_PARAM );
 376 int float64_compare_quiet( float64, float64 STATUS_PARAM );
 377 int float64_is_signaling_nan( float64 );
 378 int float64_is_quiet_nan( float64 );
 379
 380 INLINE float64 float64_abs(float64 a)
 381 {
 382     return fabs(a);
 383 }
 384
 385 INLINE float64 float64_chs(float64 a)
 386 {
 387     return -a;
 388 }
 389
 390 INLINE float64 float64_is_infinity(float64 a)
 391 {
 392     return fpclassify(a) == FP_INFINITE;
 393 }
 394
 395 INLINE float64 float64_is_neg(float64 a)
 396 {
 397     float64u u;
 398     u.f = a;
 399     return u.i >> 63;
 400 }
 401
 402 INLINE float64 float64_is_zero(float64 a)
 403 {
 404     return fpclassify(a) == FP_ZERO;
 405 }
 406
 407 INLINE float64 float64_scalbn(float64 a, int n)
 408 {
 409     return scalbn(a, n);
 410 }
 411
 412 #ifdef FLOATX80
 413
 414 /*----------------------------------------------------------------------------
 415 | Software IEC/IEEE extended double-precision conversion constants.
 416 *----------------------------------------------------------------------------*/
 417 #define floatx80_zero (0.0L)
 418 #define floatx80_one (1.0L)
 419 #define floatx80_ln2 (0.69314718055994530943L)
 420 #define floatx80_pi (3.14159265358979323851L)
 421 #define floatx80_half (0.5L)
 422
 423 /*----------------------------------------------------------------------------
 424 | Software IEC/IEEE extended double-precision conversion routines.
 425 *----------------------------------------------------------------------------*/
 426 int floatx80_to_int32( floatx80 STATUS_PARAM );
 427 int floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
 428 int64_t floatx80_to_int64( floatx80 STATUS_PARAM);
 429 int64_t floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM);
 430 float32 floatx80_to_float32( floatx80 STATUS_PARAM );
 431 float64 floatx80_to_float64( floatx80 STATUS_PARAM );
 432 #ifdef FLOAT128
 433 float128 floatx80_to_float128( floatx80 STATUS_PARAM );
 434 #endif
 435
 436 /*----------------------------------------------------------------------------
 437 | Software IEC/IEEE extended double-precision operations.
 438 *----------------------------------------------------------------------------*/
 439 floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
 440 INLINE floatx80 floatx80_add( floatx80 a, floatx80 b STATUS_PARAM)
 441 {
 442     return a + b;
 443 }
 444 INLINE floatx80 floatx80_sub( floatx80 a, floatx80 b STATUS_PARAM)
 445 {
 446     return a - b;
 447 }
 448 INLINE floatx80 floatx80_mul( floatx80 a, floatx80 b STATUS_PARAM)
 449 {
 450     return a * b;
 451 }
 452 INLINE floatx80 floatx80_div( floatx80 a, floatx80 b STATUS_PARAM)
 453 {
 454     return a / b;
 455 }
 456 floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
 457 floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
 458 INLINE int floatx80_eq_quiet( floatx80 a, floatx80 b STATUS_PARAM)
 459 {
 460     return a == b;
 461 }
 462 INLINE int floatx80_le( floatx80 a, floatx80 b STATUS_PARAM)
 463 {
 464     return a <= b;
 465 }
 466 INLINE int floatx80_lt( floatx80 a, floatx80 b STATUS_PARAM)
 467 {
 468     return a < b;
 469 }
 470 INLINE int floatx80_eq( floatx80 a, floatx80 b STATUS_PARAM)
 471 {
 472     return a <= b && a >= b;
 473 }
 474 INLINE int floatx80_le_quiet( floatx80 a, floatx80 b STATUS_PARAM)
 475 {
 476     return islessequal(a, b);
 477 }
 478 INLINE int floatx80_lt_quiet( floatx80 a, floatx80 b STATUS_PARAM)
 479 {
 480     return isless(a, b);
 481
 482 }
 483 INLINE int floatx80_unordered( floatx80 a, floatx80 b STATUS_PARAM)
 484 {
 485     return isunordered(a, b);
 486 }
 487 INLINE int floatx80_unordered_quiet( floatx80 a, floatx80 b STATUS_PARAM)
 488 {
 489     return isunordered(a, b);
 490 }
 491 int floatx80_compare( floatx80, floatx80 STATUS_PARAM );
 492 int floatx80_compare_quiet( floatx80, floatx80 STATUS_PARAM );
 493 int floatx80_is_signaling_nan( floatx80 );
 494 int floatx80_is_quiet_nan( floatx80 );
 495
 496 INLINE floatx80 floatx80_abs(floatx80 a)
 497 {
 498     return fabsl(a);
 499 }
 500
 501 INLINE floatx80 floatx80_chs(floatx80 a)
 502 {
 503     return -a;
 504 }
 505
 506 INLINE floatx80 floatx80_is_infinity(floatx80 a)
 507 {
 508     return fpclassify(a) == FP_INFINITE;
 509 }
 510
 511 INLINE floatx80 floatx80_is_neg(floatx80 a)
 512 {
 513     floatx80u u;
 514     u.f = a;
 515     return u.i.high >> 15;
 516 }
 517
 518 INLINE floatx80 floatx80_is_zero(floatx80 a)
 519 {
 520     return fpclassify(a) == FP_ZERO;
 521 }
 522
 523 INLINE floatx80 floatx80_scalbn(floatx80 a, int n)
 524 {
 525     return scalbnl(a, n);
 526 }
 527
 528 #endif