1/* 2 * Copyright (C) 2011-2012 The Android Open Source Project 3 * 4 * Licensed under the Apache License, Version 2.0 (the "License"); 5 * you may not use this file except in compliance with the License. 6 * You may obtain a copy of the License at 7 * 8 * http://www.apache.org/licenses/LICENSE-2.0 9 * 10 * Unless required by applicable law or agreed to in writing, software 11 * distributed under the License is distributed on an "AS IS" BASIS, 12 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 13 * See the License for the specific language governing permissions and 14 * limitations under the License. 15 */ 16 17/** @file rs_cl.rsh 18 * \brief Basic math functions 19 * 20 * 21 */ 22 23#ifndef __RS_CL_RSH__ 24#define __RS_CL_RSH__ 25 26// Conversions 27#define CVT_FUNC_2(typeout, typein) \ 28_RS_RUNTIME typeout##2 __attribute__((overloadable)) \ 29 convert_##typeout##2(typein##2 v); \ 30_RS_RUNTIME typeout##3 __attribute__((overloadable)) \ 31 convert_##typeout##3(typein##3 v); \ 32_RS_RUNTIME typeout##4 __attribute__((overloadable)) \ 33 convert_##typeout##4(typein##4 v); 34 35 36#define CVT_FUNC(type) CVT_FUNC_2(type, uchar) \ 37 CVT_FUNC_2(type, char) \ 38 CVT_FUNC_2(type, ushort) \ 39 CVT_FUNC_2(type, short) \ 40 CVT_FUNC_2(type, uint) \ 41 CVT_FUNC_2(type, int) \ 42 CVT_FUNC_2(type, float) 43 44/** 45 * Convert to char. 46 * 47 * Supports 2,3,4 components of uchar, char, ushort, short, uint, int, float. 48 */ 49CVT_FUNC(char) 50 51/** 52 * Convert to unsigned char. 53 * 54 * Supports 2,3,4 components of uchar, char, ushort, short, uint, int, float. 55 */ 56CVT_FUNC(uchar) 57 58/** 59 * Convert to short. 60 * 61 * Supports 2,3,4 components of uchar, char, ushort, short, uint, int, float. 62 */ 63CVT_FUNC(short) 64 65/** 66 * Convert to unsigned short. 67 * 68 * Supports 2,3,4 components of uchar, char, ushort, short, uint, int, float. 69 */ 70CVT_FUNC(ushort) 71 72/** 73 * Convert to int. 74 * 75 * Supports 2,3,4 components of uchar, char, ushort, short, uint, int, float. 76 */ 77CVT_FUNC(int) 78 79/** 80 * Convert to unsigned int. 81 * 82 * Supports 2,3,4 components of uchar, char, ushort, short, uint, int, float. 83 */ 84CVT_FUNC(uint) 85 86/** 87 * Convert to float. 88 * 89 * Supports 2,3,4 components of uchar, char, ushort, short, uint, int, float. 90 */ 91CVT_FUNC(float) 92 93// Float ops, 6.11.2 94 95#define FN_FUNC_FN(fnc) \ 96_RS_RUNTIME float2 __attribute__((overloadable)) fnc(float2 v); \ 97_RS_RUNTIME float3 __attribute__((overloadable)) fnc(float3 v); \ 98_RS_RUNTIME float4 __attribute__((overloadable)) fnc(float4 v); 99 100#define F_FUNC_FN(fnc) \ 101_RS_RUNTIME float __attribute__((overloadable)) fnc(float2 v); \ 102_RS_RUNTIME float __attribute__((overloadable)) fnc(float3 v); \ 103_RS_RUNTIME float __attribute__((overloadable)) fnc(float4 v); 104 105#define IN_FUNC_FN(fnc) \ 106_RS_RUNTIME int2 __attribute__((overloadable)) fnc(float2 v); \ 107_RS_RUNTIME int3 __attribute__((overloadable)) fnc(float3 v); \ 108_RS_RUNTIME int4 __attribute__((overloadable)) fnc(float4 v); 109 110#define FN_FUNC_FN_FN(fnc) \ 111_RS_RUNTIME float2 __attribute__((overloadable)) fnc(float2 v1, float2 v2); \ 112_RS_RUNTIME float3 __attribute__((overloadable)) fnc(float3 v1, float3 v2); \ 113_RS_RUNTIME float4 __attribute__((overloadable)) fnc(float4 v1, float4 v2); 114 115#define F_FUNC_FN_FN(fnc) \ 116_RS_RUNTIME float __attribute__((overloadable)) fnc(float2 v1, float2 v2); \ 117_RS_RUNTIME float __attribute__((overloadable)) fnc(float3 v1, float3 v2); \ 118_RS_RUNTIME float __attribute__((overloadable)) fnc(float4 v1, float4 v2); 119 120#define FN_FUNC_FN_F(fnc) \ 121_RS_RUNTIME float2 __attribute__((overloadable)) fnc(float2 v1, float v2); \ 122_RS_RUNTIME float3 __attribute__((overloadable)) fnc(float3 v1, float v2); \ 123_RS_RUNTIME float4 __attribute__((overloadable)) fnc(float4 v1, float v2); 124 125#define FN_FUNC_FN_IN(fnc) \ 126_RS_RUNTIME float2 __attribute__((overloadable)) fnc(float2 v1, int2 v2); \ 127_RS_RUNTIME float3 __attribute__((overloadable)) fnc(float3 v1, int3 v2); \ 128_RS_RUNTIME float4 __attribute__((overloadable)) fnc(float4 v1, int4 v2); \ 129 130#define FN_FUNC_FN_I(fnc) \ 131_RS_RUNTIME float2 __attribute__((overloadable)) fnc(float2 v1, int v2); \ 132_RS_RUNTIME float3 __attribute__((overloadable)) fnc(float3 v1, int v2); \ 133_RS_RUNTIME float4 __attribute__((overloadable)) fnc(float4 v1, int v2); 134 135#define FN_FUNC_FN_PFN(fnc) \ 136_RS_RUNTIME float2 __attribute__((overloadable)) \ 137 fnc(float2 v1, float2 *v2); \ 138_RS_RUNTIME float3 __attribute__((overloadable)) \ 139 fnc(float3 v1, float3 *v2); \ 140_RS_RUNTIME float4 __attribute__((overloadable)) \ 141 fnc(float4 v1, float4 *v2); 142 143#define FN_FUNC_FN_PIN(fnc) \ 144_RS_RUNTIME float2 __attribute__((overloadable)) fnc(float2 v1, int2 *v2); \ 145_RS_RUNTIME float3 __attribute__((overloadable)) fnc(float3 v1, int3 *v2); \ 146_RS_RUNTIME float4 __attribute__((overloadable)) fnc(float4 v1, int4 *v2); 147 148#define FN_FUNC_FN_FN_FN(fnc) \ 149_RS_RUNTIME float2 __attribute__((overloadable)) \ 150 fnc(float2 v1, float2 v2, float2 v3); \ 151_RS_RUNTIME float3 __attribute__((overloadable)) \ 152 fnc(float3 v1, float3 v2, float3 v3); \ 153_RS_RUNTIME float4 __attribute__((overloadable)) \ 154 fnc(float4 v1, float4 v2, float4 v3); 155 156#define FN_FUNC_FN_FN_F(fnc) \ 157_RS_RUNTIME float2 __attribute__((overloadable)) \ 158 fnc(float2 v1, float2 v2, float v3); \ 159_RS_RUNTIME float3 __attribute__((overloadable)) \ 160 fnc(float3 v1, float3 v2, float v3); \ 161_RS_RUNTIME float4 __attribute__((overloadable)) \ 162 fnc(float4 v1, float4 v2, float v3); 163 164#define FN_FUNC_FN_F_F(fnc) \ 165_RS_RUNTIME float2 __attribute__((overloadable)) \ 166 fnc(float2 v1, float v2, float v3); \ 167_RS_RUNTIME float3 __attribute__((overloadable)) \ 168 fnc(float3 v1, float v2, float v3); \ 169_RS_RUNTIME float4 __attribute__((overloadable)) \ 170 fnc(float4 v1, float v2, float v3); 171 172#define FN_FUNC_FN_FN_PIN(fnc) \ 173_RS_RUNTIME float2 __attribute__((overloadable)) \ 174 fnc(float2 v1, float2 v2, int2 *v3); \ 175_RS_RUNTIME float3 __attribute__((overloadable)) \ 176 fnc(float3 v1, float3 v2, int3 *v3); \ 177_RS_RUNTIME float4 __attribute__((overloadable)) \ 178 fnc(float4 v1, float4 v2, int4 *v3); 179 180 181/** 182 * Return the inverse cosine. 183 * 184 * Supports float, float2, float3, float4 185 */ 186extern float __attribute__((overloadable)) acos(float); 187FN_FUNC_FN(acos) 188 189/** 190 * Return the inverse hyperbolic cosine. 191 * 192 * Supports float, float2, float3, float4 193 */ 194extern float __attribute__((overloadable)) acosh(float); 195FN_FUNC_FN(acosh) 196 197/** 198 * Return the inverse cosine divided by PI. 199 * 200 * Supports float, float2, float3, float4 201 */ 202_RS_RUNTIME float __attribute__((overloadable)) acospi(float v); 203FN_FUNC_FN(acospi) 204 205/** 206 * Return the inverse sine. 207 * 208 * Supports float, float2, float3, float4 209 */ 210extern float __attribute__((overloadable)) asin(float); 211FN_FUNC_FN(asin) 212 213/** 214 * Return the inverse hyperbolic sine. 215 * 216 * Supports float, float2, float3, float4 217 */ 218extern float __attribute__((overloadable)) asinh(float); 219FN_FUNC_FN(asinh) 220 221 222/** 223 * Return the inverse sine divided by PI. 224 * 225 * Supports float, float2, float3, float4 226 */ 227_RS_RUNTIME float __attribute__((overloadable)) asinpi(float v); 228FN_FUNC_FN(asinpi) 229 230/** 231 * Return the inverse tangent. 232 * 233 * Supports float, float2, float3, float4 234 */ 235extern float __attribute__((overloadable)) atan(float); 236FN_FUNC_FN(atan) 237 238/** 239 * Return the inverse tangent of y / x. 240 * 241 * Supports float, float2, float3, float4. Both arguments must be of the same 242 * type. 243 * 244 * @param y 245 * @param x 246 */ 247extern float __attribute__((overloadable)) atan2(float y, float x); 248FN_FUNC_FN_FN(atan2) 249 250/** 251 * Return the inverse hyperbolic tangent. 252 * 253 * Supports float, float2, float3, float4 254 */ 255extern float __attribute__((overloadable)) atanh(float); 256FN_FUNC_FN(atanh) 257 258/** 259 * Return the inverse tangent divided by PI. 260 * 261 * Supports float, float2, float3, float4 262 */ 263_RS_RUNTIME float __attribute__((overloadable)) atanpi(float v); 264FN_FUNC_FN(atanpi) 265 266/** 267 * Return the inverse tangent of y / x, divided by PI. 268 * 269 * Supports float, float2, float3, float4. Both arguments must be of the same 270 * type. 271 * 272 * @param y 273 * @param x 274 */ 275_RS_RUNTIME float __attribute__((overloadable)) atan2pi(float y, float x); 276FN_FUNC_FN_FN(atan2pi) 277 278 279/** 280 * Return the cube root. 281 * 282 * Supports float, float2, float3, float4. 283 */ 284extern float __attribute__((overloadable)) cbrt(float); 285FN_FUNC_FN(cbrt) 286 287/** 288 * Return the smallest integer not less than a value. 289 * 290 * Supports float, float2, float3, float4. 291 */ 292extern float __attribute__((overloadable)) ceil(float); 293FN_FUNC_FN(ceil) 294 295/** 296 * Copy the sign bit from y to x. 297 * 298 * Supports float, float2, float3, float4. Both arguments must be of the same 299 * type. 300 * 301 * @param x 302 * @param y 303 */ 304extern float __attribute__((overloadable)) copysign(float x, float y); 305FN_FUNC_FN_FN(copysign) 306 307/** 308 * Return the cosine. 309 * 310 * Supports float, float2, float3, float4. 311 */ 312extern float __attribute__((overloadable)) cos(float); 313FN_FUNC_FN(cos) 314 315/** 316 * Return the hypebolic cosine. 317 * 318 * Supports float, float2, float3, float4. 319 */ 320extern float __attribute__((overloadable)) cosh(float); 321FN_FUNC_FN(cosh) 322 323/** 324 * Return the cosine of the value * PI. 325 * 326 * Supports float, float2, float3, float4. 327 */ 328_RS_RUNTIME float __attribute__((overloadable)) cospi(float v); 329FN_FUNC_FN(cospi) 330 331/** 332 * Return the complementary error function. 333 * 334 * Supports float, float2, float3, float4. 335 */ 336extern float __attribute__((overloadable)) erfc(float); 337FN_FUNC_FN(erfc) 338 339/** 340 * Return the error function. 341 * 342 * Supports float, float2, float3, float4. 343 */ 344extern float __attribute__((overloadable)) erf(float); 345FN_FUNC_FN(erf) 346 347/** 348 * Return e ^ value. 349 * 350 * Supports float, float2, float3, float4. 351 */ 352extern float __attribute__((overloadable)) exp(float); 353FN_FUNC_FN(exp) 354 355/** 356 * Return 2 ^ value. 357 * 358 * Supports float, float2, float3, float4. 359 */ 360extern float __attribute__((overloadable)) exp2(float); 361FN_FUNC_FN(exp2) 362 363/** 364 * Return x ^ y. 365 * 366 * Supports float, float2, float3, float4. Both arguments must be of the same 367 * type. 368 */ 369extern float __attribute__((overloadable)) pow(float x, float y); 370FN_FUNC_FN_FN(pow) 371 372/** 373 * Return 10 ^ value. 374 * 375 * Supports float, float2, float3, float4. 376 */ 377_RS_RUNTIME float __attribute__((overloadable)) exp10(float v); 378FN_FUNC_FN(exp10) 379 380/** 381 * Return (e ^ value) - 1. 382 * 383 * Supports float, float2, float3, float4. 384 */ 385extern float __attribute__((overloadable)) expm1(float); 386FN_FUNC_FN(expm1) 387 388/** 389 * Return the absolute value of a value. 390 * 391 * Supports float, float2, float3, float4. 392 */ 393extern float __attribute__((overloadable)) fabs(float); 394FN_FUNC_FN(fabs) 395 396/** 397 * Return the positive difference between two values. 398 * 399 * Supports float, float2, float3, float4. Both arguments must be of the same 400 * type. 401 */ 402extern float __attribute__((overloadable)) fdim(float, float); 403FN_FUNC_FN_FN(fdim) 404 405/** 406 * Return the smallest integer not greater than a value. 407 * 408 * Supports float, float2, float3, float4. 409 */ 410extern float __attribute__((overloadable)) floor(float); 411FN_FUNC_FN(floor) 412 413/** 414 * Return a*b + c. 415 * 416 * Supports float, float2, float3, float4. 417 */ 418extern float __attribute__((overloadable)) fma(float a, float b, float c); 419FN_FUNC_FN_FN_FN(fma) 420 421/** 422 * Return (x < y ? y : x) 423 * 424 * Supports float, float2, float3, float4. 425 * @param x: may be float, float2, float3, float4 426 * @param y: may be float or vector. If vector must match type of x. 427 */ 428extern float __attribute__((overloadable)) fmax(float x, float y); 429FN_FUNC_FN_FN(fmax); 430FN_FUNC_FN_F(fmax); 431 432/** 433 * Return (x > y ? y : x) 434 * 435 * @param x: may be float, float2, float3, float4 436 * @param y: may be float or vector. If vector must match type of x. 437 */ 438extern float __attribute__((overloadable)) fmin(float x, float y); 439FN_FUNC_FN_FN(fmin); 440FN_FUNC_FN_F(fmin); 441 442/** 443 * Return the remainder from x / y 444 * 445 * Supports float, float2, float3, float4. 446 */ 447extern float __attribute__((overloadable)) fmod(float x, float y); 448FN_FUNC_FN_FN(fmod) 449 450/** 451 * Return fractional part of v 452 * 453 * @param iptr iptr[0] will be set to the floor of the input value. 454 * Supports float, float2, float3, float4. 455 */ 456_RS_RUNTIME float __attribute__((overloadable)) fract(float v, float *iptr); 457FN_FUNC_FN_PFN(fract) 458 459/** 460 * Return fractional part of v 461 * 462 * Supports float, float2, float3, float4. 463 */ 464static inline float __attribute__((overloadable)) fract(float v) { 465 float unused; 466 return fract(v, &unused); 467} 468 469static inline float2 __attribute__((overloadable)) fract(float2 v) { 470 float2 unused; 471 return fract(v, &unused); 472} 473 474static inline float3 __attribute__((overloadable)) fract(float3 v) { 475 float3 unused; 476 return fract(v, &unused); 477} 478 479static inline float4 __attribute__((overloadable)) fract(float4 v) { 480 float4 unused; 481 return fract(v, &unused); 482} 483 484/** 485 * Return the mantissa and place the exponent into iptr[0] 486 * 487 * @param v Supports float, float2, float3, float4. 488 * @param iptr Must have the same vector size as v. 489 */ 490extern float __attribute__((overloadable)) frexp(float v, int *iptr); 491FN_FUNC_FN_PIN(frexp) 492 493/** 494 * Return sqrt(x*x + y*y) 495 * 496 * Supports float, float2, float3, float4. 497 */ 498extern float __attribute__((overloadable)) hypot(float x, float y); 499FN_FUNC_FN_FN(hypot) 500 501/** 502 * Return the integer exponent of a value 503 * 504 * Supports 1,2,3,4 components 505 */ 506extern int __attribute__((overloadable)) ilogb(float); 507IN_FUNC_FN(ilogb) 508 509/** 510 * Return (x * 2^y) 511 * 512 * @param x Supports 1,2,3,4 components 513 * @param y Supports single component or matching vector. 514 */ 515extern float __attribute__((overloadable)) ldexp(float x, int y); 516FN_FUNC_FN_IN(ldexp) 517FN_FUNC_FN_I(ldexp) 518 519/** 520 * Return the log gamma 521 * 522 * Supports 1,2,3,4 components 523 */ 524extern float __attribute__((overloadable)) lgamma(float); 525FN_FUNC_FN(lgamma) 526 527/** 528 * Return the log gamma and sign 529 * 530 * @param x Supports 1,2,3,4 components 531 * @param y Supports matching vector. 532 */ 533extern float __attribute__((overloadable)) lgamma(float x, int* y); 534FN_FUNC_FN_PIN(lgamma) 535 536/** 537 * Return the natural logarithm 538 * 539 * Supports 1,2,3,4 components 540 */ 541extern float __attribute__((overloadable)) log(float); 542FN_FUNC_FN(log) 543 544/** 545 * Return the base 10 logarithm 546 * 547 * Supports 1,2,3,4 components 548 */ 549extern float __attribute__((overloadable)) log10(float); 550FN_FUNC_FN(log10) 551 552/** 553 * Return the base 2 logarithm 554 * 555 * Supports 1,2,3,4 components 556 */ 557_RS_RUNTIME float __attribute__((overloadable)) log2(float v); 558FN_FUNC_FN(log2) 559 560/** 561 * Return the natural logarithm of (v + 1.0f) 562 * 563 * Supports 1,2,3,4 components 564 */ 565extern float __attribute__((overloadable)) log1p(float v); 566FN_FUNC_FN(log1p) 567 568/** 569 * Compute the exponent of the value. 570 * 571 * Supports 1,2,3,4 components 572 */ 573extern float __attribute__((overloadable)) logb(float); 574FN_FUNC_FN(logb) 575 576/** 577 * Compute (a * b) + c 578 * 579 * Supports 1,2,3,4 components 580 */ 581extern float __attribute__((overloadable)) mad(float a, float b, float c); 582FN_FUNC_FN_FN_FN(mad) 583 584/** 585 * Return the integral and fractional components of a number. 586 * Supports 1,2,3,4 components 587 * 588 * @param x Source value 589 * @param iret iret[0] will be set to the integral portion of the number. 590 * @return The floating point portion of the value. 591 */ 592extern float __attribute__((overloadable)) modf(float x, float *iret); 593FN_FUNC_FN_PFN(modf); 594 595extern float __attribute__((overloadable)) nan(uint); 596 597/** 598 * Return the next floating point number from x towards y. 599 * 600 * Supports 1,2,3,4 components 601 */ 602extern float __attribute__((overloadable)) nextafter(float x, float y); 603FN_FUNC_FN_FN(nextafter) 604 605/** 606 * Return (v ^ p). 607 * 608 * Supports 1,2,3,4 components 609 */ 610_RS_RUNTIME float __attribute__((overloadable)) pown(float v, int p); 611FN_FUNC_FN_IN(pown) 612 613/** 614 * Return (v ^ p). 615 * @param v must be greater than 0. 616 * 617 * Supports 1,2,3,4 components 618 */ 619_RS_RUNTIME float __attribute__((overloadable)) powr(float v, float p); 620FN_FUNC_FN_FN(powr) 621 622/** 623 * Return round x/y to the nearest integer then compute the remander. 624 * 625 * Supports 1,2,3,4 components 626 */ 627extern float __attribute__((overloadable)) remainder(float x, float y); 628FN_FUNC_FN_FN(remainder) 629 630// document once we know the precision of bionic 631extern float __attribute__((overloadable)) remquo(float, float, int *); 632FN_FUNC_FN_FN_PIN(remquo) 633 634/** 635 * Round to the nearest integral value. 636 * 637 * Supports 1,2,3,4 components 638 */ 639extern float __attribute__((overloadable)) rint(float); 640FN_FUNC_FN(rint) 641 642/** 643 * Compute the Nth root of a value. 644 * 645 * Supports 1,2,3,4 components 646 */ 647_RS_RUNTIME float __attribute__((overloadable)) rootn(float v, int n); 648FN_FUNC_FN_IN(rootn) 649 650/** 651 * Round to the nearest integral value. Half values are rounded away from zero. 652 * 653 * Supports 1,2,3,4 components 654 */ 655extern float __attribute__((overloadable)) round(float); 656FN_FUNC_FN(round) 657 658/** 659 * Return the square root of a value. 660 * 661 * Supports 1,2,3,4 components 662 */ 663extern float __attribute__((overloadable)) sqrt(float); 664FN_FUNC_FN(sqrt) 665 666/** 667 * Return (1 / sqrt(value)). 668 * 669 * Supports 1,2,3,4 components 670 */ 671_RS_RUNTIME float __attribute__((overloadable)) rsqrt(float v); 672FN_FUNC_FN(rsqrt) 673 674/** 675 * Return the sine of a value specified in radians. 676 * 677 * @param v The incoming value in radians 678 * Supports 1,2,3,4 components 679 */ 680extern float __attribute__((overloadable)) sin(float v); 681FN_FUNC_FN(sin) 682 683/** 684 * Return the sine and cosine of a value. 685 * 686 * @return sine 687 * @param v The incoming value in radians 688 * @param *cosptr cosptr[0] will be set to the cosine value. 689 * 690 * Supports 1,2,3,4 components 691 */ 692_RS_RUNTIME float __attribute__((overloadable)) sincos(float v, float *cosptr); 693FN_FUNC_FN_PFN(sincos); 694 695/** 696 * Return the hyperbolic sine of a value specified in radians. 697 * 698 * Supports 1,2,3,4 components 699 */ 700extern float __attribute__((overloadable)) sinh(float); 701FN_FUNC_FN(sinh) 702 703/** 704 * Return the sin(v * PI). 705 * 706 * Supports 1,2,3,4 components 707 */ 708_RS_RUNTIME float __attribute__((overloadable)) sinpi(float v); 709FN_FUNC_FN(sinpi) 710 711/** 712 * Return the tangent of a value. 713 * 714 * Supports 1,2,3,4 components 715 * @param v The incoming value in radians 716 */ 717extern float __attribute__((overloadable)) tan(float v); 718FN_FUNC_FN(tan) 719 720/** 721 * Return the hyperbolic tangent of a value. 722 * 723 * Supports 1,2,3,4 components 724 * @param v The incoming value in radians 725 */ 726extern float __attribute__((overloadable)) tanh(float); 727FN_FUNC_FN(tanh) 728 729/** 730 * Return tan(v * PI) 731 * 732 * Supports 1,2,3,4 components 733 */ 734_RS_RUNTIME float __attribute__((overloadable)) tanpi(float v); 735FN_FUNC_FN(tanpi) 736 737/** 738 * Compute the gamma function of a value. 739 * 740 * Supports 1,2,3,4 components 741 */ 742extern float __attribute__((overloadable)) tgamma(float); 743FN_FUNC_FN(tgamma) 744 745/** 746 * Round to integral using truncation. 747 * 748 * Supports 1,2,3,4 components 749 */ 750extern float __attribute__((overloadable)) trunc(float); 751FN_FUNC_FN(trunc) 752 753 754#define XN_FUNC_YN(typeout, fnc, typein) \ 755extern typeout __attribute__((overloadable)) fnc(typein); \ 756_RS_RUNTIME typeout##2 __attribute__((overloadable)) fnc(typein##2 v); \ 757_RS_RUNTIME typeout##3 __attribute__((overloadable)) fnc(typein##3 v); \ 758_RS_RUNTIME typeout##4 __attribute__((overloadable)) fnc(typein##4 v); 759 760#define UIN_FUNC_IN(fnc) \ 761XN_FUNC_YN(uchar, fnc, char) \ 762XN_FUNC_YN(ushort, fnc, short) \ 763XN_FUNC_YN(uint, fnc, int) 764 765#define IN_FUNC_IN(fnc) \ 766XN_FUNC_YN(uchar, fnc, uchar) \ 767XN_FUNC_YN(char, fnc, char) \ 768XN_FUNC_YN(ushort, fnc, ushort) \ 769XN_FUNC_YN(short, fnc, short) \ 770XN_FUNC_YN(uint, fnc, uint) \ 771XN_FUNC_YN(int, fnc, int) 772 773 774#define XN_FUNC_XN_XN_BODY(type, fnc, body) \ 775_RS_RUNTIME type __attribute__((overloadable)) \ 776 fnc(type v1, type v2); \ 777_RS_RUNTIME type##2 __attribute__((overloadable)) \ 778 fnc(type##2 v1, type##2 v2); \ 779_RS_RUNTIME type##3 __attribute__((overloadable)) \ 780 fnc(type##3 v1, type##3 v2); \ 781_RS_RUNTIME type##4 __attribute__((overloadable)) \ 782 fnc(type##4 v1, type##4 v2); 783 784#define IN_FUNC_IN_IN_BODY(fnc, body) \ 785XN_FUNC_XN_XN_BODY(uchar, fnc, body) \ 786XN_FUNC_XN_XN_BODY(char, fnc, body) \ 787XN_FUNC_XN_XN_BODY(ushort, fnc, body) \ 788XN_FUNC_XN_XN_BODY(short, fnc, body) \ 789XN_FUNC_XN_XN_BODY(uint, fnc, body) \ 790XN_FUNC_XN_XN_BODY(int, fnc, body) \ 791XN_FUNC_XN_XN_BODY(float, fnc, body) 792 793/** 794 * Return the absolute value of a value. 795 * 796 * Supports 1,2,3,4 components of char, short, int. 797 */ 798UIN_FUNC_IN(abs) 799 800/** 801 * Return the number of leading 0-bits in a value. 802 * 803 * Supports 1,2,3,4 components of uchar, char, ushort, short, uint, int. 804 */ 805IN_FUNC_IN(clz) 806 807/** 808 * Return the minimum of two values. 809 * 810 * Supports 1,2,3,4 components of uchar, char, ushort, short, uint, int, float. 811 */ 812IN_FUNC_IN_IN_BODY(min, (v1 < v2 ? v1 : v2)) 813FN_FUNC_FN_F(min) 814 815/** 816 * Return the maximum of two values. 817 * 818 * Supports 1,2,3,4 components of uchar, char, ushort, short, uint, int, float. 819 */ 820IN_FUNC_IN_IN_BODY(max, (v1 > v2 ? v1 : v2)) 821FN_FUNC_FN_F(max) 822 823/** 824 * Clamp a value to a specified high and low bound. 825 * 826 * @param amount value to be clamped. Supports 1,2,3,4 components 827 * @param low Lower bound, must be scalar or matching vector. 828 * @param high High bound, must match type of low 829 */ 830_RS_RUNTIME float __attribute__((overloadable)) clamp(float amount, float low, float high); 831FN_FUNC_FN_FN_FN(clamp) 832FN_FUNC_FN_F_F(clamp) 833 834/** 835 * Convert from radians to degrees. 836 * 837 * Supports 1,2,3,4 components 838 */ 839_RS_RUNTIME float __attribute__((overloadable)) degrees(float radians); 840FN_FUNC_FN(degrees) 841 842/** 843 * return start + ((stop - start) * amount); 844 * 845 * Supports 1,2,3,4 components 846 */ 847_RS_RUNTIME float __attribute__((overloadable)) mix(float start, float stop, float amount); 848FN_FUNC_FN_FN_FN(mix) 849FN_FUNC_FN_FN_F(mix) 850 851/** 852 * Convert from degrees to radians. 853 * 854 * Supports 1,2,3,4 components 855 */ 856_RS_RUNTIME float __attribute__((overloadable)) radians(float degrees); 857FN_FUNC_FN(radians) 858 859/** 860 * if (v < edge) 861 * return 0.f; 862 * else 863 * return 1.f; 864 * 865 * Supports 1,2,3,4 components 866 */ 867_RS_RUNTIME float __attribute__((overloadable)) step(float edge, float v); 868FN_FUNC_FN_FN(step) 869FN_FUNC_FN_F(step) 870 871// not implemented 872extern float __attribute__((overloadable)) smoothstep(float, float, float); 873extern float2 __attribute__((overloadable)) smoothstep(float2, float2, float2); 874extern float3 __attribute__((overloadable)) smoothstep(float3, float3, float3); 875extern float4 __attribute__((overloadable)) smoothstep(float4, float4, float4); 876extern float2 __attribute__((overloadable)) smoothstep(float, float, float2); 877extern float3 __attribute__((overloadable)) smoothstep(float, float, float3); 878extern float4 __attribute__((overloadable)) smoothstep(float, float, float4); 879 880/** 881 * Return the sign of a value. 882 * 883 * if (v < 0) return -1.f; 884 * else if (v > 0) return 1.f; 885 * else return 0.f; 886 * 887 * Supports 1,2,3,4 components 888 */ 889_RS_RUNTIME float __attribute__((overloadable)) sign(float v); 890FN_FUNC_FN(sign) 891 892/** 893 * Compute the cross product of two vectors. 894 * 895 * Supports 3,4 components 896 */ 897_RS_RUNTIME float3 __attribute__((overloadable)) cross(float3 lhs, float3 rhs); 898_RS_RUNTIME float4 __attribute__((overloadable)) cross(float4 lhs, float4 rhs); 899 900/** 901 * Compute the dot product of two vectors. 902 * 903 * Supports 1,2,3,4 components 904 */ 905_RS_RUNTIME float __attribute__((overloadable)) dot(float lhs, float rhs); 906F_FUNC_FN_FN(dot) 907 908/** 909 * Compute the length of a vector. 910 * 911 * Supports 1,2,3,4 components 912 */ 913_RS_RUNTIME float __attribute__((overloadable)) length(float v); 914F_FUNC_FN(length) 915 916/** 917 * Compute the distance between two points. 918 * 919 * Supports 1,2,3,4 components 920 */ 921_RS_RUNTIME float __attribute__((overloadable)) distance(float lhs, float rhs); 922F_FUNC_FN_FN(distance) 923 924/** 925 * Normalize a vector. 926 * 927 * Supports 1,2,3,4 components 928 */ 929_RS_RUNTIME float __attribute__((overloadable)) normalize(float v); 930FN_FUNC_FN(normalize) 931 932 933// New approx API functions 934#if (defined(RS_VERSION) && (RS_VERSION >= 17)) 935 936/** 937 * Return the approximate reciprocal of a value. 938 * 939 * Supports 1,2,3,4 components 940 */ 941_RS_RUNTIME float __attribute__((overloadable)) half_recip(float); 942FN_FUNC_FN(half_recip) 943 944/** 945 * Return the approximate square root of a value. 946 * 947 * Supports 1,2,3,4 components 948 */ 949_RS_RUNTIME float __attribute__((overloadable)) half_sqrt(float); 950FN_FUNC_FN(half_sqrt) 951 952/** 953 * Return the approximate value of (1 / sqrt(value)). 954 * 955 * Supports 1,2,3,4 components 956 */ 957_RS_RUNTIME float __attribute__((overloadable)) half_rsqrt(float v); 958FN_FUNC_FN(half_rsqrt) 959 960/** 961 * Compute the approximate length of a vector. 962 * 963 * Supports 1,2,3,4 components 964 */ 965_RS_RUNTIME float __attribute__((overloadable)) fast_length(float v); 966F_FUNC_FN(fast_length) 967 968/** 969 * Compute the approximate distance between two points. 970 * 971 * Supports 1,2,3,4 components 972 */ 973_RS_RUNTIME float __attribute__((overloadable)) fast_distance(float lhs, float rhs); 974F_FUNC_FN_FN(fast_distance) 975 976/** 977 * Approximately normalize a vector. 978 * 979 * Supports 1,2,3,4 components 980 */ 981_RS_RUNTIME float __attribute__((overloadable)) fast_normalize(float v); 982F_FUNC_FN(fast_normalize) 983 984#endif // (defined(RS_VERSION) && (RS_VERSION >= 17)) 985 986 987 988#if (defined(RS_VERSION) && (RS_VERSION >= 18)) 989// Fast native math functions. 990 991 992/** 993 * Fast approximate exp2 994 * valid for inputs -125.f to 125.f 995 * Max 8192 ulps of error 996 * 997 * Supports 1,2,3,4 components 998 */ 999_RS_RUNTIME float __attribute__((overloadable)) native_exp2(float v); 1000FN_FUNC_FN(native_exp2) 1001 1002/** 1003 * Fast approximate exp 1004 * valid for inputs -86.f to 86.f 1005 * Max 8192 ulps of error 1006 * 1007 * Supports 1,2,3,4 components 1008 */ 1009_RS_RUNTIME float __attribute__((overloadable)) native_exp(float v); 1010FN_FUNC_FN(native_exp) 1011 1012/** 1013 * Fast approximate exp10 1014 * valid for inputs -37.f to 37.f 1015 * Max 8192 ulps of error 1016 * 1017 * Supports 1,2,3,4 components 1018 */ 1019_RS_RUNTIME float __attribute__((overloadable)) native_exp10(float v); 1020FN_FUNC_FN(native_exp10) 1021 1022 1023_RS_RUNTIME float __attribute__((overloadable)) native_log2(float v); 1024FN_FUNC_FN(native_log2) 1025 1026_RS_RUNTIME float __attribute__((overloadable)) native_log(float v); 1027FN_FUNC_FN(native_log) 1028 1029_RS_RUNTIME float __attribute__((overloadable)) native_log10(float v); 1030FN_FUNC_FN(native_log10) 1031 1032 1033_RS_RUNTIME float __attribute__((overloadable)) native_powr(float v, float y); 1034FN_FUNC_FN_FN(native_powr) 1035 1036 1037#endif // (defined(RS_VERSION) && (RS_VERSION >= 18)) 1038 1039 1040#undef CVT_FUNC 1041#undef CVT_FUNC_2 1042#undef FN_FUNC_FN 1043#undef F_FUNC_FN 1044#undef IN_FUNC_FN 1045#undef FN_FUNC_FN_FN 1046#undef F_FUNC_FN_FN 1047#undef FN_FUNC_FN_F 1048#undef FN_FUNC_FN_IN 1049#undef FN_FUNC_FN_I 1050#undef FN_FUNC_FN_PFN 1051#undef FN_FUNC_FN_PIN 1052#undef FN_FUNC_FN_FN_FN 1053#undef FN_FUNC_FN_FN_F 1054#undef FN_FUNC_FN_F_F 1055#undef FN_FUNC_FN_FN_PIN 1056#undef XN_FUNC_YN 1057#undef UIN_FUNC_IN 1058#undef IN_FUNC_IN 1059#undef XN_FUNC_XN_XN_BODY 1060#undef IN_FUNC_IN_IN_BODY 1061 1062#endif 1063