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 return pow(v, (float)p); 517 } 518 extern float2 __attribute__((overloadable)) pown(float2 v, int2 p) { 519 float2 f2 = convert_float2(p); 520 return pow(v, f2); 521 } 522 extern float3 __attribute__((overloadable)) pown(float3 v, int3 p) { 523 float3 f3 = convert_float3(p); 524 return pow(v, f3); 525 } 526 extern float4 __attribute__((overloadable)) pown(float4 v, int4 p) { 527 float4 f4 = convert_float4(p); 528 return pow(v, f4); 529 } 530 531 extern float __attribute__((overloadable)) powr(float v, float p) { 532 return pow(v, p); 533 } 534 extern float2 __attribute__((overloadable)) powr(float2 v, float2 p) { 535 return pow(v, p); 536 } 537 extern float3 __attribute__((overloadable)) powr(float3 v, float3 p) { 538 return pow(v, p); 539 } 540 extern float4 __attribute__((overloadable)) powr(float4 v, float4 p) { 541 return pow(v, p); 542 } 543 544 extern float __attribute__((overloadable)) remainder(float, float); 545 FN_FUNC_FN_FN(remainder) 546 547 extern float __attribute__((overloadable)) remquo(float, float, int *); 548 FN_FUNC_FN_FN_PIN(remquo) 549 550 extern float __attribute__((overloadable)) rint(float); 551 FN_FUNC_FN(rint) 552 553 extern float __attribute__((overloadable)) rootn(float v, int r) { 554 if (r == 0) { 555 return nan(0); 556 } 557 558 if (iszero(v)) { 559 if (r < 0) { 560 if (r & 1) { 561 return copysign(posinf(), v); 562 } else { 563 return posinf(); 564 } 565 } else { 566 if (r & 1) { 567 return copysign(0.f, v); 568 } else { 569 return 0.f; 570 } 571 } 572 } 573 574 if (!isinf(v) && !isnan(v) && (v < 0.f)) { 575 if (r & 1) { 576 return (-1.f * pow(-1.f * v, 1.f / r)); 577 } else { 578 return nan(0); 579 } 580 } 581 582 return pow(v, 1.f / r); 583 } 584 FN_FUNC_FN_IN(rootn); 585 586 extern float __attribute__((overloadable)) round(float); 587 FN_FUNC_FN(round) 588 589 590 extern float __attribute__((overloadable)) sqrt(float); 591 extern float __attribute__((overloadable)) rsqrt(float v) { 592 return 1.f / sqrt(v); 593 } 594 FN_FUNC_FN(rsqrt) 595 596 extern float __attribute__((overloadable)) sin(float); 597 FN_FUNC_FN(sin) 598 599 extern float __attribute__((overloadable)) sincos(float v, float *cosptr) { 600 *cosptr = cos(v); 601 return sin(v); 602 } 603 extern float2 __attribute__((overloadable)) sincos(float2 v, float2 *cosptr) { 604 *cosptr = cos(v); 605 return sin(v); 606 } 607 extern float3 __attribute__((overloadable)) sincos(float3 v, float3 *cosptr) { 608 *cosptr = cos(v); 609 return sin(v); 610 } 611 extern float4 __attribute__((overloadable)) sincos(float4 v, float4 *cosptr) { 612 *cosptr = cos(v); 613 return sin(v); 614 } 615 616 extern float __attribute__((overloadable)) sinh(float); 617 FN_FUNC_FN(sinh) 618 619 extern float __attribute__((overloadable)) sinpi(float v) { 620 return sin(v * M_PI); 621 } 622 FN_FUNC_FN(sinpi) 623 624 extern float __attribute__((overloadable)) tan(float); 625 FN_FUNC_FN(tan) 626 627 extern float __attribute__((overloadable)) tanh(float); 628 FN_FUNC_FN(tanh) 629 630 extern float __attribute__((overloadable)) tanpi(float v) { 631 return tan(v * M_PI); 632 } 633 FN_FUNC_FN(tanpi) 634 635 636 extern float __attribute__((overloadable)) tgamma(float); 637 FN_FUNC_FN(tgamma) 638 639 extern float __attribute__((overloadable)) trunc(float); 640 FN_FUNC_FN(trunc) 641 642 // Int ops (partial), 6.11.3 643 644 #define XN_FUNC_YN(typeout, fnc, typein) \ 645 extern typeout __attribute__((overloadable)) fnc(typein); \ 646 extern typeout##2 __attribute__((overloadable)) fnc(typein##2 v) { \ 647 typeout##2 r; \ 648 r.x = fnc(v.x); \ 649 r.y = fnc(v.y); \ 650 return r; \ 651 } \ 652 extern typeout##3 __attribute__((overloadable)) fnc(typein##3 v) { \ 653 typeout##3 r; \ 654 r.x = fnc(v.x); \ 655 r.y = fnc(v.y); \ 656 r.z = fnc(v.z); \ 657 return r; \ 658 } \ 659 extern typeout##4 __attribute__((overloadable)) fnc(typein##4 v) { \ 660 typeout##4 r; \ 661 r.x = fnc(v.x); \ 662 r.y = fnc(v.y); \ 663 r.z = fnc(v.z); \ 664 r.w = fnc(v.w); \ 665 return r; \ 666 } 667 668 669 #define UIN_FUNC_IN(fnc) \ 670 XN_FUNC_YN(uchar, fnc, char) \ 671 XN_FUNC_YN(ushort, fnc, short) \ 672 XN_FUNC_YN(uint, fnc, int) 673 674 #define IN_FUNC_IN(fnc) \ 675 XN_FUNC_YN(uchar, fnc, uchar) \ 676 XN_FUNC_YN(char, fnc, char) \ 677 XN_FUNC_YN(ushort, fnc, ushort) \ 678 XN_FUNC_YN(short, fnc, short) \ 679 XN_FUNC_YN(uint, fnc, uint) \ 680 XN_FUNC_YN(int, fnc, int) 681 682 683 #define XN_FUNC_XN_XN_BODY(type, fnc, body) \ 684 extern type __attribute__((overloadable)) \ 685 fnc(type v1, type v2) { \ 686 return body; \ 687 } \ 688 extern type##2 __attribute__((overloadable)) \ 689 fnc(type##2 v1, type##2 v2) { \ 690 type##2 r; \ 691 r.x = fnc(v1.x, v2.x); \ 692 r.y = fnc(v1.y, v2.y); \ 693 return r; \ 694 } \ 695 extern type##3 __attribute__((overloadable)) \ 696 fnc(type##3 v1, type##3 v2) { \ 697 type##3 r; \ 698 r.x = fnc(v1.x, v2.x); \ 699 r.y = fnc(v1.y, v2.y); \ 700 r.z = fnc(v1.z, v2.z); \ 701 return r; \ 702 } \ 703 extern type##4 __attribute__((overloadable)) \ 704 fnc(type##4 v1, type##4 v2) { \ 705 type##4 r; \ 706 r.x = fnc(v1.x, v2.x); \ 707 r.y = fnc(v1.y, v2.y); \ 708 r.z = fnc(v1.z, v2.z); \ 709 r.w = fnc(v1.w, v2.w); \ 710 return r; \ 711 } 712 713 #define IN_FUNC_IN_IN_BODY(fnc, body) \ 714 XN_FUNC_XN_XN_BODY(uchar, fnc, body) \ 715 XN_FUNC_XN_XN_BODY(char, fnc, body) \ 716 XN_FUNC_XN_XN_BODY(ushort, fnc, body) \ 717 XN_FUNC_XN_XN_BODY(short, fnc, body) \ 718 XN_FUNC_XN_XN_BODY(uint, fnc, body) \ 719 XN_FUNC_XN_XN_BODY(int, fnc, body) \ 720 XN_FUNC_XN_XN_BODY(float, fnc, body) 721 722 723 /** 724 * abs 725 */ 726 extern uint32_t __attribute__((overloadable)) abs(int32_t v) { 727 if (v < 0) 728 return -v; 729 return v; 730 } 731 extern uint16_t __attribute__((overloadable)) abs(int16_t v) { 732 if (v < 0) 733 return -v; 734 return v; 735 } 736 extern uint8_t __attribute__((overloadable)) abs(int8_t v) { 737 if (v < 0) 738 return -v; 739 return v; 740 } 741 742 /** 743 * clz 744 */ 745 extern uint32_t __attribute__((overloadable)) clz(uint32_t v) { 746 return __builtin_clz(v); 747 } 748 extern uint16_t __attribute__((overloadable)) clz(uint16_t v) { 749 return (uint16_t)__builtin_clz(v); 750 } 751 extern uint8_t __attribute__((overloadable)) clz(uint8_t v) { 752 return (uint8_t)__builtin_clz(v); 753 } 754 extern int32_t __attribute__((overloadable)) clz(int32_t v) { 755 return (int32_t)__builtin_clz((uint32_t)v); 756 } 757 extern int16_t __attribute__((overloadable)) clz(int16_t v) { 758 return (int16_t)__builtin_clz(v); 759 } 760 extern int8_t __attribute__((overloadable)) clz(int8_t v) { 761 return (int8_t)__builtin_clz(v); 762 } 763 764 765 UIN_FUNC_IN(abs) 766 IN_FUNC_IN(clz) 767 768 769 // 6.11.4 770 771 772 extern float __attribute__((overloadable)) degrees(float radians) { 773 return radians * (180.f / M_PI); 774 } 775 extern float2 __attribute__((overloadable)) degrees(float2 radians) { 776 return radians * (180.f / M_PI); 777 } 778 extern float3 __attribute__((overloadable)) degrees(float3 radians) { 779 return radians * (180.f / M_PI); 780 } 781 extern float4 __attribute__((overloadable)) degrees(float4 radians) { 782 return radians * (180.f / M_PI); 783 } 784 785 extern float __attribute__((overloadable)) mix(float start, float stop, float amount) { 786 return start + (stop - start) * amount; 787 } 788 extern float2 __attribute__((overloadable)) mix(float2 start, float2 stop, float2 amount) { 789 return start + (stop - start) * amount; 790 } 791 extern float3 __attribute__((overloadable)) mix(float3 start, float3 stop, float3 amount) { 792 return start + (stop - start) * amount; 793 } 794 extern float4 __attribute__((overloadable)) mix(float4 start, float4 stop, float4 amount) { 795 return start + (stop - start) * amount; 796 } 797 extern float2 __attribute__((overloadable)) mix(float2 start, float2 stop, float amount) { 798 return start + (stop - start) * amount; 799 } 800 extern float3 __attribute__((overloadable)) mix(float3 start, float3 stop, float amount) { 801 return start + (stop - start) * amount; 802 } 803 extern float4 __attribute__((overloadable)) mix(float4 start, float4 stop, float amount) { 804 return start + (stop - start) * amount; 805 } 806 807 extern float __attribute__((overloadable)) radians(float degrees) { 808 return degrees * (M_PI / 180.f); 809 } 810 extern float2 __attribute__((overloadable)) radians(float2 degrees) { 811 return degrees * (M_PI / 180.f); 812 } 813 extern float3 __attribute__((overloadable)) radians(float3 degrees) { 814 return degrees * (M_PI / 180.f); 815 } 816 extern float4 __attribute__((overloadable)) radians(float4 degrees) { 817 return degrees * (M_PI / 180.f); 818 } 819 820 extern float __attribute__((overloadable)) step(float edge, float v) { 821 return (v < edge) ? 0.f : 1.f; 822 } 823 extern float2 __attribute__((overloadable)) step(float2 edge, float2 v) { 824 float2 r; 825 r.x = (v.x < edge.x) ? 0.f : 1.f; 826 r.y = (v.y < edge.y) ? 0.f : 1.f; 827 return r; 828 } 829 extern float3 __attribute__((overloadable)) step(float3 edge, float3 v) { 830 float3 r; 831 r.x = (v.x < edge.x) ? 0.f : 1.f; 832 r.y = (v.y < edge.y) ? 0.f : 1.f; 833 r.z = (v.z < edge.z) ? 0.f : 1.f; 834 return r; 835 } 836 extern float4 __attribute__((overloadable)) step(float4 edge, float4 v) { 837 float4 r; 838 r.x = (v.x < edge.x) ? 0.f : 1.f; 839 r.y = (v.y < edge.y) ? 0.f : 1.f; 840 r.z = (v.z < edge.z) ? 0.f : 1.f; 841 r.w = (v.w < edge.w) ? 0.f : 1.f; 842 return r; 843 } 844 extern float2 __attribute__((overloadable)) step(float2 edge, float v) { 845 float2 r; 846 r.x = (v < edge.x) ? 0.f : 1.f; 847 r.y = (v < edge.y) ? 0.f : 1.f; 848 return r; 849 } 850 extern float3 __attribute__((overloadable)) step(float3 edge, float v) { 851 float3 r; 852 r.x = (v < edge.x) ? 0.f : 1.f; 853 r.y = (v < edge.y) ? 0.f : 1.f; 854 r.z = (v < edge.z) ? 0.f : 1.f; 855 return r; 856 } 857 extern float4 __attribute__((overloadable)) step(float4 edge, float v) { 858 float4 r; 859 r.x = (v < edge.x) ? 0.f : 1.f; 860 r.y = (v < edge.y) ? 0.f : 1.f; 861 r.z = (v < edge.z) ? 0.f : 1.f; 862 r.w = (v < edge.w) ? 0.f : 1.f; 863 return r; 864 } 865 866 extern float __attribute__((overloadable)) smoothstep(float, float, float); 867 extern float2 __attribute__((overloadable)) smoothstep(float2, float2, float2); 868 extern float3 __attribute__((overloadable)) smoothstep(float3, float3, float3); 869 extern float4 __attribute__((overloadable)) smoothstep(float4, float4, float4); 870 extern float2 __attribute__((overloadable)) smoothstep(float, float, float2); 871 extern float3 __attribute__((overloadable)) smoothstep(float, float, float3); 872 extern float4 __attribute__((overloadable)) smoothstep(float, float, float4); 873 874 extern float __attribute__((overloadable)) sign(float v) { 875 if (v > 0) return 1.f; 876 if (v < 0) return -1.f; 877 return v; 878 } 879 FN_FUNC_FN(sign) 880 881 882 // 6.11.5 883 extern float3 __attribute__((overloadable)) cross(float3 lhs, float3 rhs) { 884 float3 r; 885 r.x = lhs.y * rhs.z - lhs.z * rhs.y; 886 r.y = lhs.z * rhs.x - lhs.x * rhs.z; 887 r.z = lhs.x * rhs.y - lhs.y * rhs.x; 888 return r; 889 } 890 891 extern float4 __attribute__((overloadable)) cross(float4 lhs, float4 rhs) { 892 float4 r; 893 r.x = lhs.y * rhs.z - lhs.z * rhs.y; 894 r.y = lhs.z * rhs.x - lhs.x * rhs.z; 895 r.z = lhs.x * rhs.y - lhs.y * rhs.x; 896 r.w = 0.f; 897 return r; 898 } 899 900 extern float __attribute__((overloadable)) length(float v); 901 extern float __attribute__((overloadable)) length(float2 v); 902 extern float __attribute__((overloadable)) length(float3 v); 903 extern float __attribute__((overloadable)) length(float4 v); 904 905 extern float __attribute__((overloadable)) distance(float lhs, float rhs) { 906 return length(lhs - rhs); 907 } 908 extern float __attribute__((overloadable)) distance(float2 lhs, float2 rhs) { 909 return length(lhs - rhs); 910 } 911 extern float __attribute__((overloadable)) distance(float3 lhs, float3 rhs) { 912 return length(lhs - rhs); 913 } 914 extern float __attribute__((overloadable)) distance(float4 lhs, float4 rhs) { 915 return length(lhs - rhs); 916 } 917 918 extern float __attribute__((overloadable)) normalize(float v) { 919 return 1.f; 920 } 921 extern float2 __attribute__((overloadable)) normalize(float2 v) { 922 return v / length(v); 923 } 924 extern float3 __attribute__((overloadable)) normalize(float3 v) { 925 return v / length(v); 926 } 927 extern float4 __attribute__((overloadable)) normalize(float4 v) { 928 return v / length(v); 929 } 930 931 extern float __attribute__((overloadable)) half_sqrt(float); 932 933 extern float __attribute__((overloadable)) fast_length(float v) { 934 return fabs(v); 935 } 936 extern float __attribute__((overloadable)) fast_length(float2 v) { 937 return half_sqrt(v.x*v.x + v.y*v.y); 938 } 939 extern float __attribute__((overloadable)) fast_length(float3 v) { 940 return half_sqrt(v.x*v.x + v.y*v.y + v.z*v.z); 941 } 942 extern float __attribute__((overloadable)) fast_length(float4 v) { 943 return half_sqrt(v.x*v.x + v.y*v.y + v.z*v.z + v.w*v.w); 944 } 945 946 extern float __attribute__((overloadable)) fast_distance(float lhs, float rhs) { 947 return fast_length(lhs - rhs); 948 } 949 extern float __attribute__((overloadable)) fast_distance(float2 lhs, float2 rhs) { 950 return fast_length(lhs - rhs); 951 } 952 extern float __attribute__((overloadable)) fast_distance(float3 lhs, float3 rhs) { 953 return fast_length(lhs - rhs); 954 } 955 extern float __attribute__((overloadable)) fast_distance(float4 lhs, float4 rhs) { 956 return fast_length(lhs - rhs); 957 } 958 959 extern float __attribute__((overloadable)) half_rsqrt(float); 960 961 extern float __attribute__((overloadable)) fast_normalize(float v) { 962 return 1.f; 963 } 964 extern float2 __attribute__((overloadable)) fast_normalize(float2 v) { 965 return v * half_rsqrt(v.x*v.x + v.y*v.y); 966 } 967 extern float3 __attribute__((overloadable)) fast_normalize(float3 v) { 968 return v * half_rsqrt(v.x*v.x + v.y*v.y + v.z*v.z); 969 } 970 extern float4 __attribute__((overloadable)) fast_normalize(float4 v) { 971 return v * half_rsqrt(v.x*v.x + v.y*v.y + v.z*v.z + v.w*v.w); 972 } 973 974 extern float __attribute__((overloadable)) half_recip(float); 975 976 /* 977 extern float __attribute__((overloadable)) approx_atan(float x) { 978 if (x == 0.f) 979 return 0.f; 980 if (x < 0.f) 981 return -1.f * approx_atan(-1.f * x); 982 if (x > 1.f) 983 return M_PI_2 - approx_atan(approx_recip(x)); 984 return x * approx_recip(1.f + 0.28f * x*x); 985 } 986 FN_FUNC_FN(approx_atan) 987 */ 988 989 typedef union 990 { 991 float fv; 992 int32_t iv; 993 } ieee_float_shape_type; 994 995 /* Get a 32 bit int from a float. */ 996 997 #define GET_FLOAT_WORD(i,d) \ 998 do { \ 999 ieee_float_shape_type gf_u; \ 1000 gf_u.fv = (d); \ 1001 (i) = gf_u.iv; \ 1002 } while (0) 1003 1004 /* Set a float from a 32 bit int. */ 1005 1006 #define SET_FLOAT_WORD(d,i) \ 1007 do { \ 1008 ieee_float_shape_type sf_u; \ 1009 sf_u.iv = (i); \ 1010 (d) = sf_u.fv; \ 1011 } while (0) 1012 1013 1014 1015 // Valid -125 to 125 1016 extern float __attribute__((overloadable)) native_exp2(float v) { 1017 int32_t iv = (int)v; 1018 int32_t x = iv + (iv >> 31); // ~floor(v) 1019 float r = (v - x); 1020 1021 float fo; 1022 SET_FLOAT_WORD(fo, (x + 127) << 23); 1023 1024 r *= 0.694f; // ~ log(e) / log(2) 1025 float r2 = r*r; 1026 float adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f); 1027 return fo * adj; 1028 } 1029 1030 extern float2 __attribute__((overloadable)) native_exp2(float2 v) { 1031 int2 iv = convert_int2(v); 1032 int2 x = iv + (iv >> (int2)31);//floor(v); 1033 float2 r = (v - convert_float2(x)); 1034 1035 x += 127; 1036 1037 float2 fo = (float2)(x << (int2)23); 1038 1039 r *= 0.694f; // ~ log(e) / log(2) 1040 float2 r2 = r*r; 1041 float2 adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f); 1042 return fo * adj; 1043 } 1044 1045 extern float4 __attribute__((overloadable)) native_exp2(float4 v) { 1046 int4 iv = convert_int4(v); 1047 int4 x = iv + (iv >> (int4)31);//floor(v); 1048 float4 r = (v - convert_float4(x)); 1049 1050 x += 127; 1051 1052 float4 fo = (float4)(x << (int4)23); 1053 1054 r *= 0.694f; // ~ log(e) / log(2) 1055 float4 r2 = r*r; 1056 float4 adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f); 1057 return fo * adj; 1058 } 1059 1060 extern float3 __attribute__((overloadable)) native_exp2(float3 v) { 1061 float4 t = 1.f; 1062 t.xyz = v; 1063 return native_exp2(t).xyz; 1064 } 1065 1066 1067 extern float __attribute__((overloadable)) native_exp(float v) { 1068 return native_exp2(v * 1.442695041f); 1069 } 1070 extern float2 __attribute__((overloadable)) native_exp(float2 v) { 1071 return native_exp2(v * 1.442695041f); 1072 } 1073 extern float3 __attribute__((overloadable)) native_exp(float3 v) { 1074 return native_exp2(v * 1.442695041f); 1075 } 1076 extern float4 __attribute__((overloadable)) native_exp(float4 v) { 1077 return native_exp2(v * 1.442695041f); 1078 } 1079 1080 extern float __attribute__((overloadable)) native_exp10(float v) { 1081 return native_exp2(v * 3.321928095f); 1082 } 1083 extern float2 __attribute__((overloadable)) native_exp10(float2 v) { 1084 return native_exp2(v * 3.321928095f); 1085 } 1086 extern float3 __attribute__((overloadable)) native_exp10(float3 v) { 1087 return native_exp2(v * 3.321928095f); 1088 } 1089 extern float4 __attribute__((overloadable)) native_exp10(float4 v) { 1090 return native_exp2(v * 3.321928095f); 1091 } 1092 1093 extern float __attribute__((overloadable)) native_log2(float v) { 1094 int32_t ibits; 1095 GET_FLOAT_WORD(ibits, v); 1096 1097 int32_t e = (ibits >> 23) & 0xff; 1098 1099 ibits &= 0x7fffff; 1100 ibits |= 127 << 23; 1101 1102 float ir; 1103 SET_FLOAT_WORD(ir, ibits); 1104 1105 ir -= 1.5f; 1106 float ir2 = ir*ir; 1107 float adj2 = 0.405465108f + // -0.00009f + 1108 (0.666666667f * ir) - 1109 (0.222222222f * ir2) + 1110 (0.098765432f * ir*ir2) - 1111 (0.049382716f * ir2*ir2) + 1112 (0.026337449f * ir*ir2*ir2) - 1113 (0.014631916f * ir2*ir2*ir2); 1114 adj2 *= (1.f / 0.693147181f); 1115 1116 return (float)(e - 127) + adj2; 1117 } 1118 extern float2 __attribute__((overloadable)) native_log2(float2 v) { 1119 float2 v2 = {native_log2(v.x), native_log2(v.y)}; 1120 return v2; 1121 } 1122 extern float3 __attribute__((overloadable)) native_log2(float3 v) { 1123 float3 v2 = {native_log2(v.x), native_log2(v.y), native_log2(v.z)}; 1124 return v2; 1125 } 1126 extern float4 __attribute__((overloadable)) native_log2(float4 v) { 1127 float4 v2 = {native_log2(v.x), native_log2(v.y), native_log2(v.z), native_log2(v.w)}; 1128 return v2; 1129 } 1130 1131 extern float __attribute__((overloadable)) native_log(float v) { 1132 return native_log2(v) * (1.f / 1.442695041f); 1133 } 1134 extern float2 __attribute__((overloadable)) native_log(float2 v) { 1135 return native_log2(v) * (1.f / 1.442695041f); 1136 } 1137 extern float3 __attribute__((overloadable)) native_log(float3 v) { 1138 return native_log2(v) * (1.f / 1.442695041f); 1139 } 1140 extern float4 __attribute__((overloadable)) native_log(float4 v) { 1141 return native_log2(v) * (1.f / 1.442695041f); 1142 } 1143 1144 extern float __attribute__((overloadable)) native_log10(float v) { 1145 return native_log2(v) * (1.f / 3.321928095f); 1146 } 1147 extern float2 __attribute__((overloadable)) native_log10(float2 v) { 1148 return native_log2(v) * (1.f / 3.321928095f); 1149 } 1150 extern float3 __attribute__((overloadable)) native_log10(float3 v) { 1151 return native_log2(v) * (1.f / 3.321928095f); 1152 } 1153 extern float4 __attribute__((overloadable)) native_log10(float4 v) { 1154 return native_log2(v) * (1.f / 3.321928095f); 1155 } 1156 1157 1158 extern float __attribute__((overloadable)) native_powr(float v, float y) { 1159 float v2 = native_log2(v); 1160 v2 = fmax(v2, -125.f); 1161 return native_exp2(v2 * y); 1162 } 1163 extern float2 __attribute__((overloadable)) native_powr(float2 v, float2 y) { 1164 float2 v2 = native_log2(v); 1165 v2 = fmax(v2, -125.f); 1166 return native_exp2(v2 * y); 1167 } 1168 extern float3 __attribute__((overloadable)) native_powr(float3 v, float3 y) { 1169 float3 v2 = native_log2(v); 1170 v2 = fmax(v2, -125.f); 1171 return native_exp2(v2 * y); 1172 } 1173 extern float4 __attribute__((overloadable)) native_powr(float4 v, float4 y) { 1174 float4 v2 = native_log2(v); 1175 v2 = fmax(v2, -125.f); 1176 return native_exp2(v2 * y); 1177 } 1178 1179 1180 #undef FN_FUNC_FN 1181 #undef IN_FUNC_FN 1182 #undef FN_FUNC_FN_FN 1183 #undef FN_FUNC_FN_F 1184 #undef FN_FUNC_FN_IN 1185 #undef FN_FUNC_FN_I 1186 #undef FN_FUNC_FN_PFN 1187 #undef FN_FUNC_FN_PIN 1188 #undef FN_FUNC_FN_FN_FN 1189 #undef FN_FUNC_FN_FN_PIN 1190 #undef XN_FUNC_YN 1191 #undef UIN_FUNC_IN 1192 #undef IN_FUNC_IN 1193 #undef XN_FUNC_XN_XN_BODY 1194 #undef IN_FUNC_IN_IN_BODY 1195
