1 #include "rs_types.rsh" 2 3 extern float2 __attribute__((overloadable)) convert_float2(int2 c); 4 extern float3 __attribute__((overloadable)) convert_float3(int3 c); 5 extern float4 __attribute__((overloadable)) convert_float4(int4 c); 6 7 extern int2 __attribute__((overloadable)) convert_int2(float2 c); 8 extern int3 __attribute__((overloadable)) convert_int3(float3 c); 9 extern int4 __attribute__((overloadable)) convert_int4(float4 c); 10 11 12 extern float __attribute__((overloadable)) fmin(float v, float v2); 13 extern float2 __attribute__((overloadable)) fmin(float2 v, float v2); 14 extern float3 __attribute__((overloadable)) fmin(float3 v, float v2); 15 extern float4 __attribute__((overloadable)) fmin(float4 v, float v2); 16 17 extern float __attribute__((overloadable)) fmax(float v, float v2); 18 extern float2 __attribute__((overloadable)) fmax(float2 v, float v2); 19 extern float3 __attribute__((overloadable)) fmax(float3 v, float v2); 20 extern float4 __attribute__((overloadable)) fmax(float4 v, float v2); 21 22 // Float ops, 6.11.2 23 24 #define FN_FUNC_FN(fnc) \ 25 extern float2 __attribute__((overloadable)) fnc(float2 v) { \ 26 float2 r; \ 27 r.x = fnc(v.x); \ 28 r.y = fnc(v.y); \ 29 return r; \ 30 } \ 31 extern float3 __attribute__((overloadable)) fnc(float3 v) { \ 32 float3 r; \ 33 r.x = fnc(v.x); \ 34 r.y = fnc(v.y); \ 35 r.z = fnc(v.z); \ 36 return r; \ 37 } \ 38 extern float4 __attribute__((overloadable)) fnc(float4 v) { \ 39 float4 r; \ 40 r.x = fnc(v.x); \ 41 r.y = fnc(v.y); \ 42 r.z = fnc(v.z); \ 43 r.w = fnc(v.w); \ 44 return r; \ 45 } 46 47 #define IN_FUNC_FN(fnc) \ 48 extern int2 __attribute__((overloadable)) fnc(float2 v) { \ 49 int2 r; \ 50 r.x = fnc(v.x); \ 51 r.y = fnc(v.y); \ 52 return r; \ 53 } \ 54 extern int3 __attribute__((overloadable)) fnc(float3 v) { \ 55 int3 r; \ 56 r.x = fnc(v.x); \ 57 r.y = fnc(v.y); \ 58 r.z = fnc(v.z); \ 59 return r; \ 60 } \ 61 extern int4 __attribute__((overloadable)) fnc(float4 v) { \ 62 int4 r; \ 63 r.x = fnc(v.x); \ 64 r.y = fnc(v.y); \ 65 r.z = fnc(v.z); \ 66 r.w = fnc(v.w); \ 67 return r; \ 68 } 69 70 #define FN_FUNC_FN_FN(fnc) \ 71 extern float2 __attribute__((overloadable)) fnc(float2 v1, float2 v2) { \ 72 float2 r; \ 73 r.x = fnc(v1.x, v2.x); \ 74 r.y = fnc(v1.y, v2.y); \ 75 return r; \ 76 } \ 77 extern float3 __attribute__((overloadable)) fnc(float3 v1, float3 v2) { \ 78 float3 r; \ 79 r.x = fnc(v1.x, v2.x); \ 80 r.y = fnc(v1.y, v2.y); \ 81 r.z = fnc(v1.z, v2.z); \ 82 return r; \ 83 } \ 84 extern float4 __attribute__((overloadable)) fnc(float4 v1, float4 v2) { \ 85 float4 r; \ 86 r.x = fnc(v1.x, v2.x); \ 87 r.y = fnc(v1.y, v2.y); \ 88 r.z = fnc(v1.z, v2.z); \ 89 r.w = fnc(v1.w, v2.w); \ 90 return r; \ 91 } 92 93 #define FN_FUNC_FN_F(fnc) \ 94 extern float2 __attribute__((overloadable)) fnc(float2 v1, float v2) { \ 95 float2 r; \ 96 r.x = fnc(v1.x, v2); \ 97 r.y = fnc(v1.y, v2); \ 98 return r; \ 99 } \ 100 extern float3 __attribute__((overloadable)) fnc(float3 v1, float v2) { \ 101 float3 r; \ 102 r.x = fnc(v1.x, v2); \ 103 r.y = fnc(v1.y, v2); \ 104 r.z = fnc(v1.z, v2); \ 105 return r; \ 106 } \ 107 extern float4 __attribute__((overloadable)) fnc(float4 v1, float v2) { \ 108 float4 r; \ 109 r.x = fnc(v1.x, v2); \ 110 r.y = fnc(v1.y, v2); \ 111 r.z = fnc(v1.z, v2); \ 112 r.w = fnc(v1.w, v2); \ 113 return r; \ 114 } 115 116 #define FN_FUNC_FN_IN(fnc) \ 117 extern float2 __attribute__((overloadable)) fnc(float2 v1, int2 v2) { \ 118 float2 r; \ 119 r.x = fnc(v1.x, v2.x); \ 120 r.y = fnc(v1.y, v2.y); \ 121 return r; \ 122 } \ 123 extern float3 __attribute__((overloadable)) fnc(float3 v1, int3 v2) { \ 124 float3 r; \ 125 r.x = fnc(v1.x, v2.x); \ 126 r.y = fnc(v1.y, v2.y); \ 127 r.z = fnc(v1.z, v2.z); \ 128 return r; \ 129 } \ 130 extern float4 __attribute__((overloadable)) fnc(float4 v1, int4 v2) { \ 131 float4 r; \ 132 r.x = fnc(v1.x, v2.x); \ 133 r.y = fnc(v1.y, v2.y); \ 134 r.z = fnc(v1.z, v2.z); \ 135 r.w = fnc(v1.w, v2.w); \ 136 return r; \ 137 } 138 139 #define FN_FUNC_FN_I(fnc) \ 140 extern float2 __attribute__((overloadable)) fnc(float2 v1, int v2) { \ 141 float2 r; \ 142 r.x = fnc(v1.x, v2); \ 143 r.y = fnc(v1.y, v2); \ 144 return r; \ 145 } \ 146 extern float3 __attribute__((overloadable)) fnc(float3 v1, int v2) { \ 147 float3 r; \ 148 r.x = fnc(v1.x, v2); \ 149 r.y = fnc(v1.y, v2); \ 150 r.z = fnc(v1.z, v2); \ 151 return r; \ 152 } \ 153 extern float4 __attribute__((overloadable)) fnc(float4 v1, int v2) { \ 154 float4 r; \ 155 r.x = fnc(v1.x, v2); \ 156 r.y = fnc(v1.y, v2); \ 157 r.z = fnc(v1.z, v2); \ 158 r.w = fnc(v1.w, v2); \ 159 return r; \ 160 } 161 162 #define FN_FUNC_FN_PFN(fnc) \ 163 extern float2 __attribute__((overloadable)) \ 164 fnc(float2 v1, float2 *v2) { \ 165 float2 r; \ 166 float t[2]; \ 167 r.x = fnc(v1.x, &t[0]); \ 168 r.y = fnc(v1.y, &t[1]); \ 169 v2->x = t[0]; \ 170 v2->y = t[1]; \ 171 return r; \ 172 } \ 173 extern float3 __attribute__((overloadable)) \ 174 fnc(float3 v1, float3 *v2) { \ 175 float3 r; \ 176 float t[3]; \ 177 r.x = fnc(v1.x, &t[0]); \ 178 r.y = fnc(v1.y, &t[1]); \ 179 r.z = fnc(v1.z, &t[2]); \ 180 v2->x = t[0]; \ 181 v2->y = t[1]; \ 182 v2->z = t[2]; \ 183 return r; \ 184 } \ 185 extern float4 __attribute__((overloadable)) \ 186 fnc(float4 v1, float4 *v2) { \ 187 float4 r; \ 188 float t[4]; \ 189 r.x = fnc(v1.x, &t[0]); \ 190 r.y = fnc(v1.y, &t[1]); \ 191 r.z = fnc(v1.z, &t[2]); \ 192 r.w = fnc(v1.w, &t[3]); \ 193 v2->x = t[0]; \ 194 v2->y = t[1]; \ 195 v2->z = t[2]; \ 196 v2->w = t[3]; \ 197 return r; \ 198 } 199 200 #define FN_FUNC_FN_PIN(fnc) \ 201 extern float2 __attribute__((overloadable)) fnc(float2 v1, int2 *v2) { \ 202 float2 r; \ 203 int t[2]; \ 204 r.x = fnc(v1.x, &t[0]); \ 205 r.y = fnc(v1.y, &t[1]); \ 206 v2->x = t[0]; \ 207 v2->y = t[1]; \ 208 return r; \ 209 } \ 210 extern float3 __attribute__((overloadable)) fnc(float3 v1, int3 *v2) { \ 211 float3 r; \ 212 int t[3]; \ 213 r.x = fnc(v1.x, &t[0]); \ 214 r.y = fnc(v1.y, &t[1]); \ 215 r.z = fnc(v1.z, &t[2]); \ 216 v2->x = t[0]; \ 217 v2->y = t[1]; \ 218 v2->z = t[2]; \ 219 return r; \ 220 } \ 221 extern float4 __attribute__((overloadable)) fnc(float4 v1, int4 *v2) { \ 222 float4 r; \ 223 int t[4]; \ 224 r.x = fnc(v1.x, &t[0]); \ 225 r.y = fnc(v1.y, &t[1]); \ 226 r.z = fnc(v1.z, &t[2]); \ 227 r.w = fnc(v1.w, &t[3]); \ 228 v2->x = t[0]; \ 229 v2->y = t[1]; \ 230 v2->z = t[2]; \ 231 v2->w = t[3]; \ 232 return r; \ 233 } 234 235 #define FN_FUNC_FN_FN_FN(fnc) \ 236 extern float2 __attribute__((overloadable)) \ 237 fnc(float2 v1, float2 v2, float2 v3) { \ 238 float2 r; \ 239 r.x = fnc(v1.x, v2.x, v3.x); \ 240 r.y = fnc(v1.y, v2.y, v3.y); \ 241 return r; \ 242 } \ 243 extern float3 __attribute__((overloadable)) \ 244 fnc(float3 v1, float3 v2, float3 v3) { \ 245 float3 r; \ 246 r.x = fnc(v1.x, v2.x, v3.x); \ 247 r.y = fnc(v1.y, v2.y, v3.y); \ 248 r.z = fnc(v1.z, v2.z, v3.z); \ 249 return r; \ 250 } \ 251 extern float4 __attribute__((overloadable)) \ 252 fnc(float4 v1, float4 v2, float4 v3) { \ 253 float4 r; \ 254 r.x = fnc(v1.x, v2.x, v3.x); \ 255 r.y = fnc(v1.y, v2.y, v3.y); \ 256 r.z = fnc(v1.z, v2.z, v3.z); \ 257 r.w = fnc(v1.w, v2.w, v3.w); \ 258 return r; \ 259 } 260 261 #define FN_FUNC_FN_FN_PIN(fnc) \ 262 extern float2 __attribute__((overloadable)) \ 263 fnc(float2 v1, float2 v2, int2 *v3) { \ 264 float2 r; \ 265 int t[2]; \ 266 r.x = fnc(v1.x, v2.x, &t[0]); \ 267 r.y = fnc(v1.y, v2.y, &t[1]); \ 268 v3->x = t[0]; \ 269 v3->y = t[1]; \ 270 return r; \ 271 } \ 272 extern float3 __attribute__((overloadable)) \ 273 fnc(float3 v1, float3 v2, int3 *v3) { \ 274 float3 r; \ 275 int t[3]; \ 276 r.x = fnc(v1.x, v2.x, &t[0]); \ 277 r.y = fnc(v1.y, v2.y, &t[1]); \ 278 r.z = fnc(v1.z, v2.z, &t[2]); \ 279 v3->x = t[0]; \ 280 v3->y = t[1]; \ 281 v3->z = t[2]; \ 282 return r; \ 283 } \ 284 extern float4 __attribute__((overloadable)) \ 285 fnc(float4 v1, float4 v2, int4 *v3) { \ 286 float4 r; \ 287 int t[4]; \ 288 r.x = fnc(v1.x, v2.x, &t[0]); \ 289 r.y = fnc(v1.y, v2.y, &t[1]); \ 290 r.z = fnc(v1.z, v2.z, &t[2]); \ 291 r.w = fnc(v1.w, v2.w, &t[3]); \ 292 v3->x = t[0]; \ 293 v3->y = t[1]; \ 294 v3->z = t[2]; \ 295 v3->w = t[3]; \ 296 return r; \ 297 } 298 299 static const int iposinf = 0x7f800000; 300 static const int ineginf = 0xff800000; 301 302 static const float posinf() { 303 float f = *((float*)&iposinf); 304 return f; 305 } 306 307 static const float neginf() { 308 float f = *((float*)&ineginf); 309 return f; 310 } 311 312 static bool isinf(float f) { 313 int i = *((int*)(void*)&f); 314 return (i == iposinf) || (i == ineginf); 315 } 316 317 static bool isnan(float f) { 318 int i = *((int*)(void*)&f); 319 return (((i & 0x7f800000) == 0x7f800000) && (i & 0x007fffff)); 320 } 321 322 static bool isposzero(float f) { 323 int i = *((int*)(void*)&f); 324 return (i == 0x00000000); 325 } 326 327 static bool isnegzero(float f) { 328 int i = *((int*)(void*)&f); 329 return (i == 0x80000000); 330 } 331 332 static bool iszero(float f) { 333 return isposzero(f) || isnegzero(f); 334 } 335 336 337 extern float __attribute__((overloadable)) acos(float); 338 FN_FUNC_FN(acos) 339 340 extern float __attribute__((overloadable)) acosh(float); 341 FN_FUNC_FN(acosh) 342 343 344 extern float __attribute__((overloadable)) acospi(float v) { 345 return acos(v) / M_PI; 346 } 347 FN_FUNC_FN(acospi) 348 349 extern float __attribute__((overloadable)) asin(float); 350 FN_FUNC_FN(asin) 351 352 extern float __attribute__((overloadable)) asinh(float); 353 FN_FUNC_FN(asinh) 354 355 extern float __attribute__((overloadable)) asinpi(float v) { 356 return asin(v) / M_PI; 357 } 358 FN_FUNC_FN(asinpi) 359 360 extern float __attribute__((overloadable)) atan(float); 361 FN_FUNC_FN(atan) 362 363 extern float __attribute__((overloadable)) atan2(float, float); 364 FN_FUNC_FN_FN(atan2) 365 366 extern float __attribute__((overloadable)) atanh(float); 367 FN_FUNC_FN(atanh) 368 369 extern float __attribute__((overloadable)) atanpi(float v) { 370 return atan(v) / M_PI; 371 } 372 FN_FUNC_FN(atanpi) 373 374 375 extern float __attribute__((overloadable)) atan2pi(float y, float x) { 376 return atan2(y, x) / M_PI; 377 } 378 FN_FUNC_FN_FN(atan2pi) 379 380 extern float __attribute__((overloadable)) cbrt(float); 381 FN_FUNC_FN(cbrt) 382 383 extern float __attribute__((overloadable)) ceil(float); 384 FN_FUNC_FN(ceil) 385 386 extern float __attribute__((overloadable)) copysign(float, float); 387 FN_FUNC_FN_FN(copysign) 388 389 extern float __attribute__((overloadable)) cos(float); 390 FN_FUNC_FN(cos) 391 392 extern float __attribute__((overloadable)) cosh(float); 393 FN_FUNC_FN(cosh) 394 395 extern float __attribute__((overloadable)) cospi(float v) { 396 return cos(v * M_PI); 397 } 398 FN_FUNC_FN(cospi) 399 400 extern float __attribute__((overloadable)) erfc(float); 401 FN_FUNC_FN(erfc) 402 403 extern float __attribute__((overloadable)) erf(float); 404 FN_FUNC_FN(erf) 405 406 extern float __attribute__((overloadable)) exp(float); 407 FN_FUNC_FN(exp) 408 409 extern float __attribute__((overloadable)) exp2(float); 410 FN_FUNC_FN(exp2) 411 412 extern float __attribute__((overloadable)) pow(float, float); 413 414 extern float __attribute__((overloadable)) exp10(float v) { 415 return exp2(v * 3.321928095f); 416 } 417 FN_FUNC_FN(exp10) 418 419 extern float __attribute__((overloadable)) expm1(float); 420 FN_FUNC_FN(expm1) 421 422 extern float __attribute__((overloadable)) fabs(float v) { 423 int i = *((int*)(void*)&v) & 0x7fffffff; 424 return *((float*)(void*)&i); 425 } 426 FN_FUNC_FN(fabs) 427 428 extern float __attribute__((overloadable)) fdim(float, float); 429 FN_FUNC_FN_FN(fdim) 430 431 extern float __attribute__((overloadable)) floor(float); 432 FN_FUNC_FN(floor) 433 434 extern float __attribute__((overloadable)) fma(float, float, float); 435 FN_FUNC_FN_FN_FN(fma) 436 437 extern float __attribute__((overloadable)) fmin(float, float); 438 439 extern float __attribute__((overloadable)) fmod(float, float); 440 FN_FUNC_FN_FN(fmod) 441 442 extern float __attribute__((overloadable)) fract(float v, float *iptr) { 443 int i = (int)floor(v); 444 if (iptr) { 445 iptr[0] = i; 446 } 447 return fmin(v - i, 0x1.fffffep-1f); 448 } 449 FN_FUNC_FN_PFN(fract) 450 451 extern float __attribute__((overloadable)) frexp(float, int *); 452 FN_FUNC_FN_PIN(frexp) 453 454 extern float __attribute__((overloadable)) hypot(float, float); 455 FN_FUNC_FN_FN(hypot) 456 457 extern int __attribute__((overloadable)) ilogb(float); 458 IN_FUNC_FN(ilogb) 459 460 extern float __attribute__((overloadable)) ldexp(float, int); 461 FN_FUNC_FN_IN(ldexp) 462 FN_FUNC_FN_I(ldexp) 463 464 extern float __attribute__((overloadable)) lgamma(float); 465 FN_FUNC_FN(lgamma) 466 extern float __attribute__((overloadable)) lgamma(float, int*); 467 FN_FUNC_FN_PIN(lgamma) 468 469 extern float __attribute__((overloadable)) log(float); 470 FN_FUNC_FN(log) 471 472 extern float __attribute__((overloadable)) log10(float); 473 FN_FUNC_FN(log10) 474 475 476 extern float __attribute__((overloadable)) log2(float v) { 477 return log10(v) * 3.321928095f; 478 } 479 FN_FUNC_FN(log2) 480 481 extern float __attribute__((overloadable)) log1p(float); 482 FN_FUNC_FN(log1p) 483 484 extern float __attribute__((overloadable)) logb(float); 485 FN_FUNC_FN(logb) 486 487 extern float __attribute__((overloadable)) mad(float a, float b, float c) { 488 return a * b + c; 489 } 490 extern float2 __attribute__((overloadable)) mad(float2 a, float2 b, float2 c) { 491 return a * b + c; 492 } 493 extern float3 __attribute__((overloadable)) mad(float3 a, float3 b, float3 c) { 494 return a * b + c; 495 } 496 extern float4 __attribute__((overloadable)) mad(float4 a, float4 b, float4 c) { 497 return a * b + c; 498 } 499 500 extern float __attribute__((overloadable)) modf(float, float *); 501 FN_FUNC_FN_PFN(modf); 502 503 extern float __attribute__((overloadable)) nan(uint v) { 504 float f[1]; 505 uint32_t *ip = (uint32_t *)f; 506 *ip = v | 0x7fc00000; 507 return f[0]; 508 } 509 510 extern float __attribute__((overloadable)) nextafter(float, float); 511 FN_FUNC_FN_FN(nextafter) 512 513 FN_FUNC_FN_FN(pow) 514 515 extern float __attribute__((overloadable)) pown(float v, int p) { 516 /* The mantissa of a float has fewer bits than an int (24 effective vs. 31). 517 * For very large ints, we'll lose whether the exponent is even or odd, making 518 * the selection of a correct sign incorrect. We correct this. Use copysign 519 * to handle the negative zero case. 520 */ 521 float sign = (p & 0x1) ? copysign(1.f, v) : 1.f; 522 float f = pow(v, (float)p); 523 return copysign(f, sign); 524 } 525 FN_FUNC_FN_IN(pown) 526 527 extern float __attribute__((overloadable)) powr(float v, float p) { 528 return pow(v, p); 529 } 530 extern float2 __attribute__((overloadable)) powr(float2 v, float2 p) { 531 return pow(v, p); 532 } 533 extern float3 __attribute__((overloadable)) powr(float3 v, float3 p) { 534 return pow(v, p); 535 } 536 extern float4 __attribute__((overloadable)) powr(float4 v, float4 p) { 537 return pow(v, p); 538 } 539 540 extern float __attribute__((overloadable)) remainder(float, float); 541 FN_FUNC_FN_FN(remainder) 542 543 extern float __attribute__((overloadable)) remquo(float, float, int *); 544 FN_FUNC_FN_FN_PIN(remquo) 545 546 extern float __attribute__((overloadable)) rint(float); 547 FN_FUNC_FN(rint) 548 549 extern float __attribute__((overloadable)) rootn(float v, int r) { 550 if (r == 0) { 551 return posinf(0); 552 } 553 554 if (iszero(v)) { 555 if (r < 0) { 556 if (r & 1) { 557 return copysign(posinf(), v); 558 } else { 559 return posinf(); 560 } 561 } else { 562 if (r & 1) { 563 return copysign(0.f, v); 564 } else { 565 return 0.f; 566 } 567 } 568 } 569 570 if (!isinf(v) && !isnan(v) && (v < 0.f)) { 571 if (r & 1) { 572 return (-1.f * pow(-1.f * v, 1.f / r)); 573 } else { 574 return nan(0); 575 } 576 } 577 578 return pow(v, 1.f / r); 579 } 580 FN_FUNC_FN_IN(rootn); 581 582 extern float __attribute__((overloadable)) round(float); 583 FN_FUNC_FN(round) 584 585 586 extern float __attribute__((overloadable)) sqrt(float); 587 extern float __attribute__((overloadable)) rsqrt(float v) { 588 return 1.f / sqrt(v); 589 } 590 591 #if !defined(__i386__) && !defined(__x86_64__) 592 FN_FUNC_FN(sqrt) 593 #else 594 extern float2 __attribute__((overloadable)) sqrt(float2); 595 extern float3 __attribute__((overloadable)) sqrt(float3); 596 extern float4 __attribute__((overloadable)) sqrt(float4); 597 #endif // !defined(__i386__) && !defined(__x86_64__) 598 599 FN_FUNC_FN(rsqrt) 600 601 extern float __attribute__((overloadable)) sin(float); 602 FN_FUNC_FN(sin) 603 604 extern float __attribute__((overloadable)) sincos(float v, float *cosptr) { 605 *cosptr = cos(v); 606 return sin(v); 607 } 608 extern float2 __attribute__((overloadable)) sincos(float2 v, float2 *cosptr) { 609 *cosptr = cos(v); 610 return sin(v); 611 } 612 extern float3 __attribute__((overloadable)) sincos(float3 v, float3 *cosptr) { 613 *cosptr = cos(v); 614 return sin(v); 615 } 616 extern float4 __attribute__((overloadable)) sincos(float4 v, float4 *cosptr) { 617 *cosptr = cos(v); 618 return sin(v); 619 } 620 621 extern float __attribute__((overloadable)) sinh(float); 622 FN_FUNC_FN(sinh) 623 624 extern float __attribute__((overloadable)) sinpi(float v) { 625 return sin(v * M_PI); 626 } 627 FN_FUNC_FN(sinpi) 628 629 extern float __attribute__((overloadable)) tan(float); 630 FN_FUNC_FN(tan) 631 632 extern float __attribute__((overloadable)) tanh(float); 633 FN_FUNC_FN(tanh) 634 635 extern float __attribute__((overloadable)) tanpi(float v) { 636 return tan(v * M_PI); 637 } 638 FN_FUNC_FN(tanpi) 639 640 641 extern float __attribute__((overloadable)) tgamma(float); 642 FN_FUNC_FN(tgamma) 643 644 extern float __attribute__((overloadable)) trunc(float); 645 FN_FUNC_FN(trunc) 646 647 // Int ops (partial), 6.11.3 648 649 #define XN_FUNC_YN(typeout, fnc, typein) \ 650 extern typeout __attribute__((overloadable)) fnc(typein); \ 651 extern typeout##2 __attribute__((overloadable)) fnc(typein##2 v) { \ 652 typeout##2 r; \ 653 r.x = fnc(v.x); \ 654 r.y = fnc(v.y); \ 655 return r; \ 656 } \ 657 extern typeout##3 __attribute__((overloadable)) fnc(typein##3 v) { \ 658 typeout##3 r; \ 659 r.x = fnc(v.x); \ 660 r.y = fnc(v.y); \ 661 r.z = fnc(v.z); \ 662 return r; \ 663 } \ 664 extern typeout##4 __attribute__((overloadable)) fnc(typein##4 v) { \ 665 typeout##4 r; \ 666 r.x = fnc(v.x); \ 667 r.y = fnc(v.y); \ 668 r.z = fnc(v.z); \ 669 r.w = fnc(v.w); \ 670 return r; \ 671 } 672 673 674 #define UIN_FUNC_IN(fnc) \ 675 XN_FUNC_YN(uchar, fnc, char) \ 676 XN_FUNC_YN(ushort, fnc, short) \ 677 XN_FUNC_YN(uint, fnc, int) 678 679 #define IN_FUNC_IN(fnc) \ 680 XN_FUNC_YN(uchar, fnc, uchar) \ 681 XN_FUNC_YN(char, fnc, char) \ 682 XN_FUNC_YN(ushort, fnc, ushort) \ 683 XN_FUNC_YN(short, fnc, short) \ 684 XN_FUNC_YN(uint, fnc, uint) \ 685 XN_FUNC_YN(int, fnc, int) 686 687 688 #define XN_FUNC_XN_XN_BODY(type, fnc, body) \ 689 extern type __attribute__((overloadable)) \ 690 fnc(type v1, type v2) { \ 691 return body; \ 692 } \ 693 extern type##2 __attribute__((overloadable)) \ 694 fnc(type##2 v1, type##2 v2) { \ 695 type##2 r; \ 696 r.x = fnc(v1.x, v2.x); \ 697 r.y = fnc(v1.y, v2.y); \ 698 return r; \ 699 } \ 700 extern type##3 __attribute__((overloadable)) \ 701 fnc(type##3 v1, type##3 v2) { \ 702 type##3 r; \ 703 r.x = fnc(v1.x, v2.x); \ 704 r.y = fnc(v1.y, v2.y); \ 705 r.z = fnc(v1.z, v2.z); \ 706 return r; \ 707 } \ 708 extern type##4 __attribute__((overloadable)) \ 709 fnc(type##4 v1, type##4 v2) { \ 710 type##4 r; \ 711 r.x = fnc(v1.x, v2.x); \ 712 r.y = fnc(v1.y, v2.y); \ 713 r.z = fnc(v1.z, v2.z); \ 714 r.w = fnc(v1.w, v2.w); \ 715 return r; \ 716 } 717 718 #define IN_FUNC_IN_IN_BODY(fnc, body) \ 719 XN_FUNC_XN_XN_BODY(uchar, fnc, body) \ 720 XN_FUNC_XN_XN_BODY(char, fnc, body) \ 721 XN_FUNC_XN_XN_BODY(ushort, fnc, body) \ 722 XN_FUNC_XN_XN_BODY(short, fnc, body) \ 723 XN_FUNC_XN_XN_BODY(uint, fnc, body) \ 724 XN_FUNC_XN_XN_BODY(int, fnc, body) \ 725 XN_FUNC_XN_XN_BODY(float, fnc, body) 726 727 728 /** 729 * abs 730 */ 731 extern uint32_t __attribute__((overloadable)) abs(int32_t v) { 732 if (v < 0) 733 return -v; 734 return v; 735 } 736 extern uint16_t __attribute__((overloadable)) abs(int16_t v) { 737 if (v < 0) 738 return -v; 739 return v; 740 } 741 extern uint8_t __attribute__((overloadable)) abs(int8_t v) { 742 if (v < 0) 743 return -v; 744 return v; 745 } 746 747 /** 748 * clz 749 * __builtin_clz only accepts a 32-bit unsigned int, so every input will be 750 * expanded to 32 bits. For our smaller data types, we need to subtract off 751 * these unused top bits (that will be always be composed of zeros). 752 */ 753 extern uint32_t __attribute__((overloadable)) clz(uint32_t v) { 754 return __builtin_clz(v); 755 } 756 extern uint16_t __attribute__((overloadable)) clz(uint16_t v) { 757 return __builtin_clz(v) - 16; 758 } 759 extern uint8_t __attribute__((overloadable)) clz(uint8_t v) { 760 return __builtin_clz(v) - 24; 761 } 762 extern int32_t __attribute__((overloadable)) clz(int32_t v) { 763 return __builtin_clz(v); 764 } 765 extern int16_t __attribute__((overloadable)) clz(int16_t v) { 766 return __builtin_clz(((uint32_t)v) & 0x0000ffff) - 16; 767 } 768 extern int8_t __attribute__((overloadable)) clz(int8_t v) { 769 return __builtin_clz(((uint32_t)v) & 0x000000ff) - 24; 770 } 771 772 773 UIN_FUNC_IN(abs) 774 IN_FUNC_IN(clz) 775 776 777 // 6.11.4 778 779 780 extern float __attribute__((overloadable)) degrees(float radians) { 781 return radians * (180.f / M_PI); 782 } 783 extern float2 __attribute__((overloadable)) degrees(float2 radians) { 784 return radians * (180.f / M_PI); 785 } 786 extern float3 __attribute__((overloadable)) degrees(float3 radians) { 787 return radians * (180.f / M_PI); 788 } 789 extern float4 __attribute__((overloadable)) degrees(float4 radians) { 790 return radians * (180.f / M_PI); 791 } 792 793 extern float __attribute__((overloadable)) mix(float start, float stop, float amount) { 794 return start + (stop - start) * amount; 795 } 796 extern float2 __attribute__((overloadable)) mix(float2 start, float2 stop, float2 amount) { 797 return start + (stop - start) * amount; 798 } 799 extern float3 __attribute__((overloadable)) mix(float3 start, float3 stop, float3 amount) { 800 return start + (stop - start) * amount; 801 } 802 extern float4 __attribute__((overloadable)) mix(float4 start, float4 stop, float4 amount) { 803 return start + (stop - start) * amount; 804 } 805 extern float2 __attribute__((overloadable)) mix(float2 start, float2 stop, float amount) { 806 return start + (stop - start) * amount; 807 } 808 extern float3 __attribute__((overloadable)) mix(float3 start, float3 stop, float amount) { 809 return start + (stop - start) * amount; 810 } 811 extern float4 __attribute__((overloadable)) mix(float4 start, float4 stop, float amount) { 812 return start + (stop - start) * amount; 813 } 814 815 extern float __attribute__((overloadable)) radians(float degrees) { 816 return degrees * (M_PI / 180.f); 817 } 818 extern float2 __attribute__((overloadable)) radians(float2 degrees) { 819 return degrees * (M_PI / 180.f); 820 } 821 extern float3 __attribute__((overloadable)) radians(float3 degrees) { 822 return degrees * (M_PI / 180.f); 823 } 824 extern float4 __attribute__((overloadable)) radians(float4 degrees) { 825 return degrees * (M_PI / 180.f); 826 } 827 828 extern float __attribute__((overloadable)) step(float edge, float v) { 829 return (v < edge) ? 0.f : 1.f; 830 } 831 extern float2 __attribute__((overloadable)) step(float2 edge, float2 v) { 832 float2 r; 833 r.x = (v.x < edge.x) ? 0.f : 1.f; 834 r.y = (v.y < edge.y) ? 0.f : 1.f; 835 return r; 836 } 837 extern float3 __attribute__((overloadable)) step(float3 edge, float3 v) { 838 float3 r; 839 r.x = (v.x < edge.x) ? 0.f : 1.f; 840 r.y = (v.y < edge.y) ? 0.f : 1.f; 841 r.z = (v.z < edge.z) ? 0.f : 1.f; 842 return r; 843 } 844 extern float4 __attribute__((overloadable)) step(float4 edge, float4 v) { 845 float4 r; 846 r.x = (v.x < edge.x) ? 0.f : 1.f; 847 r.y = (v.y < edge.y) ? 0.f : 1.f; 848 r.z = (v.z < edge.z) ? 0.f : 1.f; 849 r.w = (v.w < edge.w) ? 0.f : 1.f; 850 return r; 851 } 852 extern float2 __attribute__((overloadable)) step(float2 edge, float v) { 853 float2 r; 854 r.x = (v < edge.x) ? 0.f : 1.f; 855 r.y = (v < edge.y) ? 0.f : 1.f; 856 return r; 857 } 858 extern float3 __attribute__((overloadable)) step(float3 edge, float v) { 859 float3 r; 860 r.x = (v < edge.x) ? 0.f : 1.f; 861 r.y = (v < edge.y) ? 0.f : 1.f; 862 r.z = (v < edge.z) ? 0.f : 1.f; 863 return r; 864 } 865 extern float4 __attribute__((overloadable)) step(float4 edge, float v) { 866 float4 r; 867 r.x = (v < edge.x) ? 0.f : 1.f; 868 r.y = (v < edge.y) ? 0.f : 1.f; 869 r.z = (v < edge.z) ? 0.f : 1.f; 870 r.w = (v < edge.w) ? 0.f : 1.f; 871 return r; 872 } 873 extern float2 __attribute__((overloadable)) step(float edge, float2 v) { 874 float2 r; 875 r.x = (v.x < edge) ? 0.f : 1.f; 876 r.y = (v.y < edge) ? 0.f : 1.f; 877 return r; 878 } 879 extern float3 __attribute__((overloadable)) step(float edge, float3 v) { 880 float3 r; 881 r.x = (v.x < edge) ? 0.f : 1.f; 882 r.y = (v.y < edge) ? 0.f : 1.f; 883 r.z = (v.z < edge) ? 0.f : 1.f; 884 return r; 885 } 886 extern float4 __attribute__((overloadable)) step(float edge, float4 v) { 887 float4 r; 888 r.x = (v.x < edge) ? 0.f : 1.f; 889 r.y = (v.y < edge) ? 0.f : 1.f; 890 r.z = (v.z < edge) ? 0.f : 1.f; 891 r.w = (v.w < edge) ? 0.f : 1.f; 892 return r; 893 } 894 895 extern float __attribute__((overloadable)) smoothstep(float, float, float); 896 extern float2 __attribute__((overloadable)) smoothstep(float2, float2, float2); 897 extern float3 __attribute__((overloadable)) smoothstep(float3, float3, float3); 898 extern float4 __attribute__((overloadable)) smoothstep(float4, float4, float4); 899 extern float2 __attribute__((overloadable)) smoothstep(float, float, float2); 900 extern float3 __attribute__((overloadable)) smoothstep(float, float, float3); 901 extern float4 __attribute__((overloadable)) smoothstep(float, float, float4); 902 903 extern float __attribute__((overloadable)) sign(float v) { 904 if (v > 0) return 1.f; 905 if (v < 0) return -1.f; 906 return v; 907 } 908 FN_FUNC_FN(sign) 909 910 911 // 6.11.5 912 extern float3 __attribute__((overloadable)) cross(float3 lhs, float3 rhs) { 913 float3 r; 914 r.x = lhs.y * rhs.z - lhs.z * rhs.y; 915 r.y = lhs.z * rhs.x - lhs.x * rhs.z; 916 r.z = lhs.x * rhs.y - lhs.y * rhs.x; 917 return r; 918 } 919 920 extern float4 __attribute__((overloadable)) cross(float4 lhs, float4 rhs) { 921 float4 r; 922 r.x = lhs.y * rhs.z - lhs.z * rhs.y; 923 r.y = lhs.z * rhs.x - lhs.x * rhs.z; 924 r.z = lhs.x * rhs.y - lhs.y * rhs.x; 925 r.w = 0.f; 926 return r; 927 } 928 929 #if !defined(__i386__) && !defined(__x86_64__) 930 931 extern float __attribute__((overloadable)) dot(float lhs, float rhs) { 932 return lhs * rhs; 933 } 934 extern float __attribute__((overloadable)) dot(float2 lhs, float2 rhs) { 935 return lhs.x*rhs.x + lhs.y*rhs.y; 936 } 937 extern float __attribute__((overloadable)) dot(float3 lhs, float3 rhs) { 938 return lhs.x*rhs.x + lhs.y*rhs.y + lhs.z*rhs.z; 939 } 940 extern float __attribute__((overloadable)) dot(float4 lhs, float4 rhs) { 941 return lhs.x*rhs.x + lhs.y*rhs.y + lhs.z*rhs.z + lhs.w*rhs.w; 942 } 943 944 extern float __attribute__((overloadable)) length(float v) { 945 return fabs(v); 946 } 947 extern float __attribute__((overloadable)) length(float2 v) { 948 return sqrt(v.x*v.x + v.y*v.y); 949 } 950 extern float __attribute__((overloadable)) length(float3 v) { 951 return sqrt(v.x*v.x + v.y*v.y + v.z*v.z); 952 } 953 extern float __attribute__((overloadable)) length(float4 v) { 954 return sqrt(v.x*v.x + v.y*v.y + v.z*v.z + v.w*v.w); 955 } 956 957 #else 958 959 extern float __attribute__((overloadable)) length(float v); 960 extern float __attribute__((overloadable)) length(float2 v); 961 extern float __attribute__((overloadable)) length(float3 v); 962 extern float __attribute__((overloadable)) length(float4 v); 963 964 #endif // !defined(__i386__) && !defined(__x86_64__) 965 966 extern float __attribute__((overloadable)) distance(float lhs, float rhs) { 967 return length(lhs - rhs); 968 } 969 extern float __attribute__((overloadable)) distance(float2 lhs, float2 rhs) { 970 return length(lhs - rhs); 971 } 972 extern float __attribute__((overloadable)) distance(float3 lhs, float3 rhs) { 973 return length(lhs - rhs); 974 } 975 extern float __attribute__((overloadable)) distance(float4 lhs, float4 rhs) { 976 return length(lhs - rhs); 977 } 978 979 /* For the normalization functions, vectors of length 0 should simply be 980 * returned (i.e. all the components of that vector are 0). 981 */ 982 extern float __attribute__((overloadable)) normalize(float v) { 983 if (v == 0.0f) { 984 return 0.0f; 985 } else if (v < 0.0f) { 986 return -1.0f; 987 } else { 988 return 1.0f; 989 } 990 } 991 extern float2 __attribute__((overloadable)) normalize(float2 v) { 992 float l = length(v); 993 return l == 0.0f ? v : v / l; 994 } 995 extern float3 __attribute__((overloadable)) normalize(float3 v) { 996 float l = length(v); 997 return l == 0.0f ? v : v / l; 998 } 999 extern float4 __attribute__((overloadable)) normalize(float4 v) { 1000 float l = length(v); 1001 return l == 0.0f ? v : v / l; 1002 } 1003 1004 extern float __attribute__((overloadable)) half_sqrt(float v) { 1005 return sqrt(v); 1006 } 1007 FN_FUNC_FN(half_sqrt) 1008 1009 extern float __attribute__((overloadable)) fast_length(float v) { 1010 return fabs(v); 1011 } 1012 extern float __attribute__((overloadable)) fast_length(float2 v) { 1013 return half_sqrt(v.x*v.x + v.y*v.y); 1014 } 1015 extern float __attribute__((overloadable)) fast_length(float3 v) { 1016 return half_sqrt(v.x*v.x + v.y*v.y + v.z*v.z); 1017 } 1018 extern float __attribute__((overloadable)) fast_length(float4 v) { 1019 return half_sqrt(v.x*v.x + v.y*v.y + v.z*v.z + v.w*v.w); 1020 } 1021 1022 extern float __attribute__((overloadable)) fast_distance(float lhs, float rhs) { 1023 return fast_length(lhs - rhs); 1024 } 1025 extern float __attribute__((overloadable)) fast_distance(float2 lhs, float2 rhs) { 1026 return fast_length(lhs - rhs); 1027 } 1028 extern float __attribute__((overloadable)) fast_distance(float3 lhs, float3 rhs) { 1029 return fast_length(lhs - rhs); 1030 } 1031 extern float __attribute__((overloadable)) fast_distance(float4 lhs, float4 rhs) { 1032 return fast_length(lhs - rhs); 1033 } 1034 1035 extern float __attribute__((overloadable)) half_rsqrt(float); 1036 1037 /* For the normalization functions, vectors of length 0 should simply be 1038 * returned (i.e. all the components of that vector are 0). 1039 */ 1040 extern float __attribute__((overloadable)) fast_normalize(float v) { 1041 if (v == 0.0f) { 1042 return 0.0f; 1043 } else if (v < 0.0f) { 1044 return -1.0f; 1045 } else { 1046 return 1.0f; 1047 } 1048 } 1049 // If the length is 0, then rlength should be NaN. 1050 extern float2 __attribute__((overloadable)) fast_normalize(float2 v) { 1051 float rlength = half_rsqrt(v.x*v.x + v.y*v.y); 1052 return (rlength == rlength) ? v * rlength : v; 1053 } 1054 extern float3 __attribute__((overloadable)) fast_normalize(float3 v) { 1055 float rlength = half_rsqrt(v.x*v.x + v.y*v.y + v.z*v.z); 1056 return (rlength == rlength) ? v * rlength : v; 1057 } 1058 extern float4 __attribute__((overloadable)) fast_normalize(float4 v) { 1059 float rlength = half_rsqrt(v.x*v.x + v.y*v.y + v.z*v.z + v.w*v.w); 1060 return (rlength == rlength) ? v * rlength : v; 1061 } 1062 1063 extern float __attribute__((overloadable)) half_recip(float v) { 1064 return 1.f / v; 1065 } 1066 1067 /* 1068 extern float __attribute__((overloadable)) approx_atan(float x) { 1069 if (x == 0.f) 1070 return 0.f; 1071 if (x < 0.f) 1072 return -1.f * approx_atan(-1.f * x); 1073 if (x > 1.f) 1074 return M_PI_2 - approx_atan(approx_recip(x)); 1075 return x * approx_recip(1.f + 0.28f * x*x); 1076 } 1077 FN_FUNC_FN(approx_atan) 1078 */ 1079 1080 typedef union 1081 { 1082 float fv; 1083 int32_t iv; 1084 } ieee_float_shape_type; 1085 1086 /* Get a 32 bit int from a float. */ 1087 1088 #define GET_FLOAT_WORD(i,d) \ 1089 do { \ 1090 ieee_float_shape_type gf_u; \ 1091 gf_u.fv = (d); \ 1092 (i) = gf_u.iv; \ 1093 } while (0) 1094 1095 /* Set a float from a 32 bit int. */ 1096 1097 #define SET_FLOAT_WORD(d,i) \ 1098 do { \ 1099 ieee_float_shape_type sf_u; \ 1100 sf_u.iv = (i); \ 1101 (d) = sf_u.fv; \ 1102 } while (0) 1103 1104 1105 1106 // Valid -125 to 125 1107 extern float __attribute__((overloadable)) native_exp2(float v) { 1108 int32_t iv = (int)v; 1109 int32_t x = iv + (iv >> 31); // ~floor(v) 1110 float r = (v - x); 1111 1112 float fo; 1113 SET_FLOAT_WORD(fo, (x + 127) << 23); 1114 1115 r *= 0.694f; // ~ log(e) / log(2) 1116 float r2 = r*r; 1117 float adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f); 1118 return fo * adj; 1119 } 1120 1121 extern float2 __attribute__((overloadable)) native_exp2(float2 v) { 1122 int2 iv = convert_int2(v); 1123 int2 x = iv + (iv >> (int2)31);//floor(v); 1124 float2 r = (v - convert_float2(x)); 1125 1126 x += 127; 1127 1128 float2 fo = (float2)(x << (int2)23); 1129 1130 r *= 0.694f; // ~ log(e) / log(2) 1131 float2 r2 = r*r; 1132 float2 adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f); 1133 return fo * adj; 1134 } 1135 1136 extern float4 __attribute__((overloadable)) native_exp2(float4 v) { 1137 int4 iv = convert_int4(v); 1138 int4 x = iv + (iv >> (int4)31);//floor(v); 1139 float4 r = (v - convert_float4(x)); 1140 1141 x += 127; 1142 1143 float4 fo = (float4)(x << (int4)23); 1144 1145 r *= 0.694f; // ~ log(e) / log(2) 1146 float4 r2 = r*r; 1147 float4 adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f); 1148 return fo * adj; 1149 } 1150 1151 extern float3 __attribute__((overloadable)) native_exp2(float3 v) { 1152 float4 t = 1.f; 1153 t.xyz = v; 1154 return native_exp2(t).xyz; 1155 } 1156 1157 1158 extern float __attribute__((overloadable)) native_exp(float v) { 1159 return native_exp2(v * 1.442695041f); 1160 } 1161 extern float2 __attribute__((overloadable)) native_exp(float2 v) { 1162 return native_exp2(v * 1.442695041f); 1163 } 1164 extern float3 __attribute__((overloadable)) native_exp(float3 v) { 1165 return native_exp2(v * 1.442695041f); 1166 } 1167 extern float4 __attribute__((overloadable)) native_exp(float4 v) { 1168 return native_exp2(v * 1.442695041f); 1169 } 1170 1171 extern float __attribute__((overloadable)) native_exp10(float v) { 1172 return native_exp2(v * 3.321928095f); 1173 } 1174 extern float2 __attribute__((overloadable)) native_exp10(float2 v) { 1175 return native_exp2(v * 3.321928095f); 1176 } 1177 extern float3 __attribute__((overloadable)) native_exp10(float3 v) { 1178 return native_exp2(v * 3.321928095f); 1179 } 1180 extern float4 __attribute__((overloadable)) native_exp10(float4 v) { 1181 return native_exp2(v * 3.321928095f); 1182 } 1183 1184 extern float __attribute__((overloadable)) native_log2(float v) { 1185 int32_t ibits; 1186 GET_FLOAT_WORD(ibits, v); 1187 1188 int32_t e = (ibits >> 23) & 0xff; 1189 1190 ibits &= 0x7fffff; 1191 ibits |= 127 << 23; 1192 1193 float ir; 1194 SET_FLOAT_WORD(ir, ibits); 1195 ir -= 1.5f; 1196 float ir2 = ir*ir; 1197 float adj2 = (0.405465108f / 0.693147181f) + 1198 ((0.666666667f / 0.693147181f) * ir) - 1199 ((0.222222222f / 0.693147181f) * ir2) + 1200 ((0.098765432f / 0.693147181f) * ir*ir2) - 1201 ((0.049382716f / 0.693147181f) * ir2*ir2) + 1202 ((0.026337449f / 0.693147181f) * ir*ir2*ir2) - 1203 ((0.014631916f / 0.693147181f) * ir2*ir2*ir2); 1204 return (float)(e - 127) + adj2; 1205 } 1206 extern float2 __attribute__((overloadable)) native_log2(float2 v) { 1207 float2 v2 = {native_log2(v.x), native_log2(v.y)}; 1208 return v2; 1209 } 1210 extern float3 __attribute__((overloadable)) native_log2(float3 v) { 1211 float3 v2 = {native_log2(v.x), native_log2(v.y), native_log2(v.z)}; 1212 return v2; 1213 } 1214 extern float4 __attribute__((overloadable)) native_log2(float4 v) { 1215 float4 v2 = {native_log2(v.x), native_log2(v.y), native_log2(v.z), native_log2(v.w)}; 1216 return v2; 1217 } 1218 1219 extern float __attribute__((overloadable)) native_log(float v) { 1220 return native_log2(v) * (1.f / 1.442695041f); 1221 } 1222 extern float2 __attribute__((overloadable)) native_log(float2 v) { 1223 return native_log2(v) * (1.f / 1.442695041f); 1224 } 1225 extern float3 __attribute__((overloadable)) native_log(float3 v) { 1226 return native_log2(v) * (1.f / 1.442695041f); 1227 } 1228 extern float4 __attribute__((overloadable)) native_log(float4 v) { 1229 return native_log2(v) * (1.f / 1.442695041f); 1230 } 1231 1232 extern float __attribute__((overloadable)) native_log10(float v) { 1233 return native_log2(v) * (1.f / 3.321928095f); 1234 } 1235 extern float2 __attribute__((overloadable)) native_log10(float2 v) { 1236 return native_log2(v) * (1.f / 3.321928095f); 1237 } 1238 extern float3 __attribute__((overloadable)) native_log10(float3 v) { 1239 return native_log2(v) * (1.f / 3.321928095f); 1240 } 1241 extern float4 __attribute__((overloadable)) native_log10(float4 v) { 1242 return native_log2(v) * (1.f / 3.321928095f); 1243 } 1244 1245 1246 extern float __attribute__((overloadable)) native_powr(float v, float y) { 1247 float v2 = native_log2(v); 1248 v2 = fmax(v2 * y, -125.f); 1249 return native_exp2(v2); 1250 } 1251 extern float2 __attribute__((overloadable)) native_powr(float2 v, float2 y) { 1252 float2 v2 = native_log2(v); 1253 v2 = fmax(v2 * y, -125.f); 1254 return native_exp2(v2); 1255 } 1256 extern float3 __attribute__((overloadable)) native_powr(float3 v, float3 y) { 1257 float3 v2 = native_log2(v); 1258 v2 = fmax(v2 * y, -125.f); 1259 return native_exp2(v2); 1260 } 1261 extern float4 __attribute__((overloadable)) native_powr(float4 v, float4 y) { 1262 float4 v2 = native_log2(v); 1263 v2 = fmax(v2 * y, -125.f); 1264 return native_exp2(v2); 1265 } 1266 1267 extern double __attribute__((overloadable)) min(double v1, double v2) { 1268 return v1 < v2 ? v1 : v2; 1269 } 1270 1271 extern double2 __attribute__((overloadable)) min(double2 v1, double2 v2) { 1272 double2 r; 1273 r.x = v1.x < v2.x ? v1.x : v2.x; 1274 r.y = v1.y < v2.y ? v1.y : v2.y; 1275 return r; 1276 } 1277 1278 extern double3 __attribute__((overloadable)) min(double3 v1, double3 v2) { 1279 double3 r; 1280 r.x = v1.x < v2.x ? v1.x : v2.x; 1281 r.y = v1.y < v2.y ? v1.y : v2.y; 1282 r.z = v1.z < v2.z ? v1.z : v2.z; 1283 return r; 1284 } 1285 1286 extern double4 __attribute__((overloadable)) min(double4 v1, double4 v2) { 1287 double4 r; 1288 r.x = v1.x < v2.x ? v1.x : v2.x; 1289 r.y = v1.y < v2.y ? v1.y : v2.y; 1290 r.z = v1.z < v2.z ? v1.z : v2.z; 1291 r.w = v1.w < v2.w ? v1.w : v2.w; 1292 return r; 1293 } 1294 1295 extern long __attribute__((overloadable)) min(long v1, long v2) { 1296 return v1 < v2 ? v1 : v2; 1297 } 1298 extern long2 __attribute__((overloadable)) min(long2 v1, long2 v2) { 1299 long2 r; 1300 r.x = v1.x < v2.x ? v1.x : v2.x; 1301 r.y = v1.y < v2.y ? v1.y : v2.y; 1302 return r; 1303 } 1304 extern long3 __attribute__((overloadable)) min(long3 v1, long3 v2) { 1305 long3 r; 1306 r.x = v1.x < v2.x ? v1.x : v2.x; 1307 r.y = v1.y < v2.y ? v1.y : v2.y; 1308 r.z = v1.z < v2.z ? v1.z : v2.z; 1309 return r; 1310 } 1311 extern long4 __attribute__((overloadable)) min(long4 v1, long4 v2) { 1312 long4 r; 1313 r.x = v1.x < v2.x ? v1.x : v2.x; 1314 r.y = v1.y < v2.y ? v1.y : v2.y; 1315 r.z = v1.z < v2.z ? v1.z : v2.z; 1316 r.w = v1.w < v2.w ? v1.w : v2.w; 1317 return r; 1318 } 1319 1320 extern ulong __attribute__((overloadable)) min(ulong v1, ulong v2) { 1321 return v1 < v2 ? v1 : v2; 1322 } 1323 extern ulong2 __attribute__((overloadable)) min(ulong2 v1, ulong2 v2) { 1324 ulong2 r; 1325 r.x = v1.x < v2.x ? v1.x : v2.x; 1326 r.y = v1.y < v2.y ? v1.y : v2.y; 1327 return r; 1328 } 1329 extern ulong3 __attribute__((overloadable)) min(ulong3 v1, ulong3 v2) { 1330 ulong3 r; 1331 r.x = v1.x < v2.x ? v1.x : v2.x; 1332 r.y = v1.y < v2.y ? v1.y : v2.y; 1333 r.z = v1.z < v2.z ? v1.z : v2.z; 1334 return r; 1335 } 1336 extern ulong4 __attribute__((overloadable)) min(ulong4 v1, ulong4 v2) { 1337 ulong4 r; 1338 r.x = v1.x < v2.x ? v1.x : v2.x; 1339 r.y = v1.y < v2.y ? v1.y : v2.y; 1340 r.z = v1.z < v2.z ? v1.z : v2.z; 1341 r.w = v1.w < v2.w ? v1.w : v2.w; 1342 return r; 1343 } 1344 1345 extern double __attribute__((overloadable)) max(double v1, double v2) { 1346 return v1 > v2 ? v1 : v2; 1347 } 1348 1349 extern double2 __attribute__((overloadable)) max(double2 v1, double2 v2) { 1350 double2 r; 1351 r.x = v1.x > v2.x ? v1.x : v2.x; 1352 r.y = v1.y > v2.y ? v1.y : v2.y; 1353 return r; 1354 } 1355 1356 extern double3 __attribute__((overloadable)) max(double3 v1, double3 v2) { 1357 double3 r; 1358 r.x = v1.x > v2.x ? v1.x : v2.x; 1359 r.y = v1.y > v2.y ? v1.y : v2.y; 1360 r.z = v1.z > v2.z ? v1.z : v2.z; 1361 return r; 1362 } 1363 1364 extern double4 __attribute__((overloadable)) max(double4 v1, double4 v2) { 1365 double4 r; 1366 r.x = v1.x > v2.x ? v1.x : v2.x; 1367 r.y = v1.y > v2.y ? v1.y : v2.y; 1368 r.z = v1.z > v2.z ? v1.z : v2.z; 1369 r.w = v1.w > v2.w ? v1.w : v2.w; 1370 return r; 1371 } 1372 1373 extern long __attribute__((overloadable)) max(long v1, long v2) { 1374 return v1 > v2 ? v1 : v2; 1375 } 1376 extern long2 __attribute__((overloadable)) max(long2 v1, long2 v2) { 1377 long2 r; 1378 r.x = v1.x > v2.x ? v1.x : v2.x; 1379 r.y = v1.y > v2.y ? v1.y : v2.y; 1380 return r; 1381 } 1382 extern long3 __attribute__((overloadable)) max(long3 v1, long3 v2) { 1383 long3 r; 1384 r.x = v1.x > v2.x ? v1.x : v2.x; 1385 r.y = v1.y > v2.y ? v1.y : v2.y; 1386 r.z = v1.z > v2.z ? v1.z : v2.z; 1387 return r; 1388 } 1389 extern long4 __attribute__((overloadable)) max(long4 v1, long4 v2) { 1390 long4 r; 1391 r.x = v1.x > v2.x ? v1.x : v2.x; 1392 r.y = v1.y > v2.y ? v1.y : v2.y; 1393 r.z = v1.z > v2.z ? v1.z : v2.z; 1394 r.w = v1.w > v2.w ? v1.w : v2.w; 1395 return r; 1396 } 1397 1398 extern ulong __attribute__((overloadable)) max(ulong v1, ulong v2) { 1399 return v1 > v2 ? v1 : v2; 1400 } 1401 extern ulong2 __attribute__((overloadable)) max(ulong2 v1, ulong2 v2) { 1402 ulong2 r; 1403 r.x = v1.x > v2.x ? v1.x : v2.x; 1404 r.y = v1.y > v2.y ? v1.y : v2.y; 1405 return r; 1406 } 1407 extern ulong3 __attribute__((overloadable)) max(ulong3 v1, ulong3 v2) { 1408 ulong3 r; 1409 r.x = v1.x > v2.x ? v1.x : v2.x; 1410 r.y = v1.y > v2.y ? v1.y : v2.y; 1411 r.z = v1.z > v2.z ? v1.z : v2.z; 1412 return r; 1413 } 1414 extern ulong4 __attribute__((overloadable)) max(ulong4 v1, ulong4 v2) { 1415 ulong4 r; 1416 r.x = v1.x > v2.x ? v1.x : v2.x; 1417 r.y = v1.y > v2.y ? v1.y : v2.y; 1418 r.z = v1.z > v2.z ? v1.z : v2.z; 1419 r.w = v1.w > v2.w ? v1.w : v2.w; 1420 return r; 1421 } 1422 1423 #define THUNK_NATIVE_F(fn) \ 1424 float __attribute__((overloadable)) native_##fn(float v) { return fn(v);} \ 1425 float2 __attribute__((overloadable)) native_##fn(float2 v) { return fn(v);} \ 1426 float3 __attribute__((overloadable)) native_##fn(float3 v) { return fn(v);} \ 1427 float4 __attribute__((overloadable)) native_##fn(float4 v) { return fn(v);} 1428 1429 #define THUNK_NATIVE_F_F(fn) \ 1430 float __attribute__((overloadable)) native_##fn(float v1, float v2) { return fn(v1, v2);} \ 1431 float2 __attribute__((overloadable)) native_##fn(float2 v1, float2 v2) { return fn(v1, v2);} \ 1432 float3 __attribute__((overloadable)) native_##fn(float3 v1, float3 v2) { return fn(v1, v2);} \ 1433 float4 __attribute__((overloadable)) native_##fn(float4 v1, float4 v2) { return fn(v1, v2);} 1434 1435 #define THUNK_NATIVE_F_FP(fn) \ 1436 float __attribute__((overloadable)) native_##fn(float v1, float *v2) { return fn(v1, v2);} \ 1437 float2 __attribute__((overloadable)) native_##fn(float2 v1, float2 *v2) { return fn(v1, v2);} \ 1438 float3 __attribute__((overloadable)) native_##fn(float3 v1, float3 *v2) { return fn(v1, v2);} \ 1439 float4 __attribute__((overloadable)) native_##fn(float4 v1, float4 *v2) { return fn(v1, v2);} 1440 1441 #define THUNK_NATIVE_F_I(fn) \ 1442 float __attribute__((overloadable)) native_##fn(float v1, int v2) { return fn(v1, v2);} \ 1443 float2 __attribute__((overloadable)) native_##fn(float2 v1, int2 v2) { return fn(v1, v2);} \ 1444 float3 __attribute__((overloadable)) native_##fn(float3 v1, int3 v2) { return fn(v1, v2);} \ 1445 float4 __attribute__((overloadable)) native_##fn(float4 v1, int4 v2) { return fn(v1, v2);} 1446 1447 THUNK_NATIVE_F(acos) 1448 THUNK_NATIVE_F(acosh) 1449 THUNK_NATIVE_F(acospi) 1450 THUNK_NATIVE_F(asin) 1451 THUNK_NATIVE_F(asinh) 1452 THUNK_NATIVE_F(asinpi) 1453 THUNK_NATIVE_F(atan) 1454 THUNK_NATIVE_F_F(atan2) 1455 THUNK_NATIVE_F(atanh) 1456 THUNK_NATIVE_F(atanpi) 1457 THUNK_NATIVE_F_F(atan2pi) 1458 THUNK_NATIVE_F(cbrt) 1459 THUNK_NATIVE_F(cos) 1460 THUNK_NATIVE_F(cosh) 1461 THUNK_NATIVE_F(cospi) 1462 THUNK_NATIVE_F(expm1) 1463 THUNK_NATIVE_F_F(hypot) 1464 THUNK_NATIVE_F(log1p) 1465 THUNK_NATIVE_F_I(rootn) 1466 THUNK_NATIVE_F(rsqrt) 1467 THUNK_NATIVE_F(sqrt) 1468 THUNK_NATIVE_F(sin) 1469 THUNK_NATIVE_F_FP(sincos) 1470 THUNK_NATIVE_F(sinh) 1471 THUNK_NATIVE_F(sinpi) 1472 THUNK_NATIVE_F(tan) 1473 THUNK_NATIVE_F(tanh) 1474 THUNK_NATIVE_F(tanpi) 1475 1476 #undef THUNK_NATIVE_F 1477 #undef THUNK_NATIVE_F_F 1478 #undef THUNK_NATIVE_F_I 1479 #undef THUNK_NATIVE_F_FP 1480 1481 float __attribute__((overloadable)) native_normalize(float v) { return fast_normalize(v);} 1482 float2 __attribute__((overloadable)) native_normalize(float2 v) { return fast_normalize(v);} 1483 float3 __attribute__((overloadable)) native_normalize(float3 v) { return fast_normalize(v);} 1484 float4 __attribute__((overloadable)) native_normalize(float4 v) { return fast_normalize(v);} 1485 1486 float __attribute__((overloadable)) native_distance(float v1, float v2) { return fast_distance(v1, v2);} 1487 float __attribute__((overloadable)) native_distance(float2 v1, float2 v2) { return fast_distance(v1, v2);} 1488 float __attribute__((overloadable)) native_distance(float3 v1, float3 v2) { return fast_distance(v1, v2);} 1489 float __attribute__((overloadable)) native_distance(float4 v1, float4 v2) { return fast_distance(v1, v2);} 1490 1491 float __attribute__((overloadable)) native_length(float v) { return fast_length(v);} 1492 float __attribute__((overloadable)) native_length(float2 v) { return fast_length(v);} 1493 float __attribute__((overloadable)) native_length(float3 v) { return fast_length(v);} 1494 float __attribute__((overloadable)) native_length(float4 v) { return fast_length(v);} 1495 1496 float __attribute__((overloadable)) native_divide(float v1, float v2) { return v1 / v2;} 1497 float2 __attribute__((overloadable)) native_divide(float2 v1, float2 v2) { return v1 / v2;} 1498 float3 __attribute__((overloadable)) native_divide(float3 v1, float3 v2) { return v1 / v2;} 1499 float4 __attribute__((overloadable)) native_divide(float4 v1, float4 v2) { return v1 / v2;} 1500 1501 float __attribute__((overloadable)) native_recip(float v) { return 1.f / v;} 1502 float2 __attribute__((overloadable)) native_recip(float2 v) { return ((float2)1.f) / v;} 1503 float3 __attribute__((overloadable)) native_recip(float3 v) { return ((float3)1.f) / v;} 1504 float4 __attribute__((overloadable)) native_recip(float4 v) { return ((float4)1.f) / v;} 1505 1506 1507 1508 1509 1510 #undef FN_FUNC_FN 1511 #undef IN_FUNC_FN 1512 #undef FN_FUNC_FN_FN 1513 #undef FN_FUNC_FN_F 1514 #undef FN_FUNC_FN_IN 1515 #undef FN_FUNC_FN_I 1516 #undef FN_FUNC_FN_PFN 1517 #undef FN_FUNC_FN_PIN 1518 #undef FN_FUNC_FN_FN_FN 1519 #undef FN_FUNC_FN_FN_PIN 1520 #undef XN_FUNC_YN 1521 #undef UIN_FUNC_IN 1522 #undef IN_FUNC_IN 1523 #undef XN_FUNC_XN_XN_BODY 1524 #undef IN_FUNC_IN_IN_BODY 1525
