Atlas - testautomation_math.c

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1/** 2 * Math test suite 3 */ 4 5#include <float.h> 6#include <math.h> 7 8#include <SDL3/SDL.h> 9#include <SDL3/SDL_test.h> 10#include "testautomation_suites.h" 11 12/* ================= Test Constants ================== */ 13 14/* Range tests parameters */ 15#define RANGE_TEST_ITERATIONS 10000000 16#define RANGE_TEST_STEP ((Uint32)(SDL_MAX_UINT32 / RANGE_TEST_ITERATIONS)) 17 18/* Margin of error for imprecise tests */ 19#define EPSILON 1.0E-10 20 21/* Euler constant (used in exp/log) */ 22#ifndef M_E 23#define EULER 2.7182818284590450907955982984276488423347473144531250 24#else 25#define EULER M_E 26#endif 27 28#define IS_INFINITY(V) ISINF(V) 29 30/* Square root of 3 (used in atan2) */ 31#define SQRT3 1.7320508075688771931766041234368458390235900878906250 32 33/* ================= Test Structs ================== */ 34 35/** 36 * Stores a single input and the expected result 37 */ 38typedef struct 39{ 40 double input; 41 double expected; 42} d_to_d; 43 44/** 45 * Stores a pair of inputs and the expected result 46 */ 47typedef struct 48{ 49 double x_input, y_input; 50 double expected; 51} dd_to_d; 52 53/* 54 NB: You cannot create an array of these structures containing INFINITY or NAN. 55 On platforms such as OS/2, they are defined as 'extern const double' making them 56 not compile-time constant. 57*/ 58 59/* ================= Test Helpers ================== */ 60 61typedef double(SDLCALL *d_to_d_func)(double); 62typedef double(SDLCALL *dd_to_d_func)(double, double); 63 64/** 65 * Runs all the cases on a given function with a signature double -> double. 66 * The result is expected to be exact. 67 * 68 * \param func_name a printable name for the tested function. 69 * \param func the function to call. 70 * \param cases an array of all the cases. 71 * \param cases_size the size of the cases array. 72 */ 73static int 74helper_dtod(const char *func_name, d_to_d_func func, 75 const d_to_d *cases, const size_t cases_size) 76{ 77 Uint32 i; 78 for (i = 0; i < cases_size; i++) { 79 const double result = func(cases[i].input); 80 SDLTest_AssertCheck(SDL_fabs(result - cases[i].expected) < FLT_EPSILON, 81 "%s(%f), expected %f, got %f", 82 func_name, 83 cases[i].input, 84 cases[i].expected, result); 85 } 86 87 return TEST_COMPLETED; 88} 89 90/** 91 * Runs all the cases on a given function with a signature double -> double. 92 * Checks if the result between expected +/- EPSILON. 93 * 94 * \param func_name a printable name for the tested function. 95 * \param func the function to call. 96 * \param cases an array of all the cases. 97 * \param cases_size the size of the cases array. 98 */ 99static int 100helper_dtod_inexact(const char *func_name, d_to_d_func func, 101 const d_to_d *cases, const size_t cases_size) 102{ 103 Uint32 i; 104 for (i = 0; i < cases_size; i++) { 105 const double result = func(cases[i].input); 106 double diff = result - cases[i].expected; 107 double max_err = (cases[i].expected + 1.) * EPSILON; 108 if (diff < 0) { 109 diff = -diff; 110 } 111 if (max_err < 0) { 112 max_err = -max_err; 113 } 114 SDLTest_AssertCheck(diff <= max_err, 115 "%s(%f), expected %f +/- %g, got %f", 116 func_name, 117 cases[i].input, 118 cases[i].expected, max_err, 119 result); 120 } 121 122 return TEST_COMPLETED; 123} 124 125/** 126 * Runs all the cases on a given function with a signature 127 * (double, double) -> double. The result is expected to be exact. 128 * 129 * \param func_name a printable name for the tested function. 130 * \param func the function to call. 131 * \param cases an array of all the cases. 132 * \param cases_size the size of the cases array. 133 */ 134static int 135helper_ddtod(const char *func_name, dd_to_d_func func, 136 const dd_to_d *cases, const size_t cases_size) 137{ 138 Uint32 i; 139 for (i = 0; i < cases_size; i++) { 140 const double result = func(cases[i].x_input, cases[i].y_input); 141 SDLTest_AssertCheck(result == cases[i].expected, 142 "%s(%f,%f), expected %f, got %f", 143 func_name, 144 cases[i].x_input, cases[i].y_input, 145 cases[i].expected, result); 146 } 147 148 return TEST_COMPLETED; 149} 150 151/** 152 * Runs all the cases on a given function with a signature 153 * (double, double) -> double. Checks if the result between expected +/- EPSILON. 154 * 155 * \param func_name a printable name for the tested function. 156 * \param func the function to call. 157 * \param cases an array of all the cases. 158 * \param cases_size the size of the cases array. 159 */ 160static int 161helper_ddtod_inexact(const char *func_name, dd_to_d_func func, 162 const dd_to_d *cases, const size_t cases_size) 163{ 164 Uint32 i; 165 for (i = 0; i < cases_size; i++) { 166 const double result = func(cases[i].x_input, cases[i].y_input); 167 double diff = result - cases[i].expected; 168 double max_err = (cases[i].expected + 1.) * EPSILON; 169 if (diff < 0) { 170 diff = -diff; 171 } 172 if (max_err < 0) { 173 max_err = -max_err; 174 } 175 176 SDLTest_AssertCheck(diff <= max_err, 177 "%s(%f,%f), expected %f +/- %g, got %f", 178 func_name, 179 cases[i].x_input, cases[i].y_input, 180 cases[i].expected, max_err, 181 result); 182 } 183 184 return TEST_COMPLETED; 185} 186 187/** 188 * Runs a range of values on a given function with a signature double -> double 189 * 190 * This function is only meant to test functions that returns the input value if it is 191 * integral: f(x) -> x for x in N. 192 * 193 * \param func_name a printable name for the tested function. 194 * \param func the function to call. 195 */ 196static int 197helper_range(const char *func_name, d_to_d_func func) 198{ 199 Uint32 i; 200 double test_value = 0.0; 201 202 SDLTest_AssertPass("%s: Testing a range of %u values with steps of %" SDL_PRIu32, 203 func_name, 204 RANGE_TEST_ITERATIONS, 205 RANGE_TEST_STEP); 206 207 for (i = 0; i < RANGE_TEST_ITERATIONS; i++, test_value += RANGE_TEST_STEP) { 208 double result; 209 /* These are tested elsewhere */ 210 if (ISNAN(test_value) || ISINF(test_value)) { 211 continue; 212 } 213 214 result = func(test_value); 215 if (result != test_value) { /* Only log failures to save performances */ 216 SDLTest_AssertCheck(false, 217 "%s(%.1f), expected %.1f, got %.1f", 218 func_name, test_value, 219 test_value, result); 220 return TEST_ABORTED; 221 } 222 } 223 224 return TEST_COMPLETED; 225} 226 227/* ================= Test Case Implementation ================== */ 228 229/* SDL_floor tests functions */ 230 231/** 232 * Inputs: +/-Infinity. 233 * Expected: Infinity is returned as-is. 234 */ 235static int SDLCALL 236floor_infCases(void *args) 237{ 238 double result; 239 240 result = SDL_floor(INFINITY); 241 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 242 "Floor(%f), expected %f, got %f", 243 INFINITY, INFINITY, result); 244 245 result = SDL_floor(-INFINITY); 246 SDLTest_AssertCheck(IS_INFINITY(result) && result < 0, 247 "Floor(%f), expected %f, got %f", 248 -INFINITY, -INFINITY, result); 249 250 return TEST_COMPLETED; 251} 252 253/** 254 * Inputs: +/-0.0. 255 * Expected: Zero is returned as-is. 256 */ 257static int SDLCALL 258floor_zeroCases(void *args) 259{ 260 const d_to_d zero_cases[] = { 261 { 0.0, 0.0 }, 262 { -0.0, -0.0 } 263 }; 264 return helper_dtod("Floor", SDL_floor, zero_cases, SDL_arraysize(zero_cases)); 265} 266 267/** 268 * Input: NAN. 269 * Expected: NAN is returned. 270 */ 271static int SDLCALL 272floor_nanCase(void *args) 273{ 274 const double result = SDL_floor(NAN); 275 SDLTest_AssertCheck(ISNAN(result), 276 "Floor(nan), expected nan, got %f", 277 result); 278 return TEST_COMPLETED; 279} 280 281/** 282 * Inputs: integral values. 283 * Expected: the input value is returned as-is. 284 */ 285static int SDLCALL 286floor_roundNumbersCases(void *args) 287{ 288 const d_to_d round_cases[] = { 289 { 1.0, 1.0 }, 290 { -1.0, -1.0 }, 291 { 15.0, 15.0 }, 292 { -15.0, -15.0 }, 293 { 125.0, 125.0 }, 294 { -125.0, -125.0 }, 295 { 1024.0, 1024.0 }, 296 { -1024.0, -1024.0 } 297 }; 298 return helper_dtod("Floor", SDL_floor, round_cases, SDL_arraysize(round_cases)); 299} 300 301/** 302 * Inputs: fractional values. 303 * Expected: the lower integral value is returned. 304 */ 305static int SDLCALL 306floor_fractionCases(void *args) 307{ 308 const d_to_d frac_cases[] = { 309 { 1.0 / 2.0, 0.0 }, 310 { -1.0 / 2.0, -1.0 }, 311 { 4.0 / 3.0, 1.0 }, 312 { -4.0 / 3.0, -2.0 }, 313 { 76.0 / 7.0, 10.0 }, 314 { -76.0 / 7.0, -11.0 }, 315 { 535.0 / 8.0, 66.0 }, 316 { -535.0 / 8.0, -67.0 }, 317 { 19357.0 / 53.0, 365.0 }, 318 { -19357.0 / 53.0, -366.0 } 319 }; 320 return helper_dtod("Floor", SDL_floor, frac_cases, SDL_arraysize(frac_cases)); 321} 322 323/** 324 * Inputs: values in the range [0, UINT32_MAX]. 325 * Expected: the input value is returned as-is. 326 */ 327static int SDLCALL 328floor_rangeTest(void *args) 329{ 330 return helper_range("Floor", SDL_floor); 331} 332 333/* SDL_ceil tests functions */ 334 335/** 336 * Inputs: +/-Infinity. 337 * Expected: Infinity is returned as-is. 338 */ 339static int SDLCALL 340ceil_infCases(void *args) 341{ 342 double result; 343 344 result = SDL_ceil(INFINITY); 345 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 346 "Ceil(%f), expected %f, got %f", 347 INFINITY, INFINITY, result); 348 349 result = SDL_ceil(-INFINITY); 350 SDLTest_AssertCheck(IS_INFINITY(result) && result < 0, 351 "Ceil(%f), expected %f, got %f", 352 -INFINITY, -INFINITY, result); 353 354 return TEST_COMPLETED; 355} 356 357/** 358 * Inputs: +/-0.0. 359 * Expected: Zero is returned as-is. 360 */ 361static int SDLCALL 362ceil_zeroCases(void *args) 363{ 364 const d_to_d zero_cases[] = { 365 { 0.0, 0.0 }, 366 { -0.0, -0.0 } 367 }; 368 return helper_dtod("Ceil", SDL_ceil, zero_cases, SDL_arraysize(zero_cases)); 369} 370 371/** 372 * Input: NAN. 373 * Expected: NAN is returned. 374 */ 375static int SDLCALL 376ceil_nanCase(void *args) 377{ 378 const double result = SDL_ceil(NAN); 379 SDLTest_AssertCheck(ISNAN(result), 380 "Ceil(nan), expected nan, got %f", 381 result); 382 return TEST_COMPLETED; 383} 384 385/** 386 * Inputs: integral values. 387 * Expected: the input value is returned as-is. 388 */ 389static int SDLCALL 390ceil_roundNumbersCases(void *args) 391{ 392 const d_to_d round_cases[] = { 393 { 1.0, 1.0 }, 394 { -1.0, -1.0 }, 395 { 15.0, 15.0 }, 396 { -15.0, -15.0 }, 397 { 125.0, 125.0 }, 398 { -125.0, -125.0 }, 399 { 1024.0, 1024.0 }, 400 { -1024.0, -1024.0 } 401 }; 402 return helper_dtod("Ceil", SDL_ceil, round_cases, SDL_arraysize(round_cases)); 403} 404 405/** 406 * Inputs: fractional values. 407 * Expected: the higher integral value is returned. 408 */ 409static int SDLCALL 410ceil_fractionCases(void *args) 411{ 412 const d_to_d frac_cases[] = { 413 { 1.0 / 2.0, 1.0 }, 414 { -1.0 / 2.0, -0.0 }, 415 { 4.0 / 3.0, 2.0 }, 416 { -4.0 / 3.0, -1.0 }, 417 { 76.0 / 7.0, 11.0 }, 418 { -76.0 / 7.0, -10.0 }, 419 { 535.0 / 8.0, 67.0 }, 420 { -535.0 / 8.0, -66.0 }, 421 { 19357.0 / 53.0, 366.0 }, 422 { -19357.0 / 53.0, -365.0 } 423 }; 424 return helper_dtod("Ceil", SDL_ceil, frac_cases, SDL_arraysize(frac_cases)); 425} 426 427/** 428 * Inputs: values in the range [0, UINT32_MAX]. 429 * Expected: the input value is returned as-is. 430 */ 431static int SDLCALL 432ceil_rangeTest(void *args) 433{ 434 return helper_range("Ceil", SDL_ceil); 435} 436 437/* SDL_trunc tests functions */ 438 439/** 440 * Inputs: +/-Infinity. 441 * Expected: Infinity is returned as-is. 442 */ 443static int SDLCALL 444trunc_infCases(void *args) 445{ 446 double result; 447 448 result = SDL_trunc(INFINITY); 449 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 450 "Trunc(%f), expected %f, got %f", 451 INFINITY, INFINITY, result); 452 453 result = SDL_trunc(-INFINITY); 454 SDLTest_AssertCheck(IS_INFINITY(result) && result < 0, 455 "Trunc(%f), expected %f, got %f", 456 -INFINITY, -INFINITY, result); 457 458 return TEST_COMPLETED; 459} 460 461/** 462 * Inputs: +/-0.0. 463 * Expected: Zero is returned as-is. 464 */ 465static int SDLCALL 466trunc_zeroCases(void *args) 467{ 468 const d_to_d zero_cases[] = { 469 { 0.0, 0.0 }, 470 { -0.0, -0.0 } 471 }; 472 return helper_dtod("Trunc", SDL_trunc, zero_cases, SDL_arraysize(zero_cases)); 473} 474 475/** 476 * Input: NAN. 477 * Expected: NAN is returned. 478 */ 479static int SDLCALL 480trunc_nanCase(void *args) 481{ 482 const double result = SDL_trunc(NAN); 483 SDLTest_AssertCheck(ISNAN(result), 484 "Trunc(nan), expected nan, got %f", 485 result); 486 return TEST_COMPLETED; 487} 488 489/** 490 * Inputs: integral values. 491 * Expected: the input value is returned as-is. 492 */ 493static int SDLCALL 494trunc_roundNumbersCases(void *args) 495{ 496 const d_to_d round_cases[] = { 497 { 1.0, 1.0 }, 498 { -1.0, -1.0 }, 499 { 15.0, 15.0 }, 500 { -15.0, -15.0 }, 501 { 125.0, 125.0 }, 502 { -125.0, -125.0 }, 503 { 1024.0, 1024.0 }, 504 { -1024.0, -1024.0 } 505 }; 506 return helper_dtod("Trunc", SDL_trunc, round_cases, SDL_arraysize(round_cases)); 507} 508 509/** 510 * Inputs: fractional values. 511 * Expected: the integral part is returned. 512 */ 513static int SDLCALL 514trunc_fractionCases(void *args) 515{ 516 const d_to_d frac_cases[] = { 517 { 1.0 / 2.0, 0.0 }, 518 { -1.0 / 2.0, -0.0 }, 519 { 4.0 / 3.0, 1.0 }, 520 { -4.0 / 3.0, -1.0 }, 521 { 76.0 / 7.0, 10.0 }, 522 { -76.0 / 7.0, -10.0 }, 523 { 535.0 / 8.0, 66.0 }, 524 { -535.0 / 8.0, -66.0 }, 525 { 19357.0 / 53.0, 365.0 }, 526 { -19357.0 / 53.0, -365.0 } 527 }; 528 return helper_dtod("Trunc", SDL_trunc, frac_cases, SDL_arraysize(frac_cases)); 529} 530 531/** 532 * Inputs: values in the range [0, UINT32_MAX]. 533 * Expected: the input value is returned as-is. 534 */ 535static int SDLCALL 536trunc_rangeTest(void *args) 537{ 538 return helper_range("Trunc", SDL_trunc); 539} 540 541/* SDL_round tests functions */ 542 543/** 544 * Inputs: +/-Infinity. 545 * Expected: Infinity is returned as-is. 546 */ 547static int SDLCALL 548round_infCases(void *args) 549{ 550 double result; 551 552 result = SDL_round(INFINITY); 553 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 554 "Round(%f), expected %f, got %f", 555 INFINITY, INFINITY, result); 556 557 result = SDL_round(-INFINITY); 558 SDLTest_AssertCheck(IS_INFINITY(result) && result < 0, 559 "Round(%f), expected %f, got %f", 560 -INFINITY, -INFINITY, result); 561 562 return TEST_COMPLETED; 563} 564 565/** 566 * Inputs: +/-0.0. 567 * Expected: Zero is returned as-is. 568 */ 569static int SDLCALL 570round_zeroCases(void *args) 571{ 572 const d_to_d zero_cases[] = { 573 { 0.0, 0.0 }, 574 { -0.0, -0.0 } 575 }; 576 return helper_dtod("Round", SDL_round, zero_cases, SDL_arraysize(zero_cases)); 577} 578 579/** 580 * Input: NAN. 581 * Expected: NAN is returned. 582 */ 583static int SDLCALL 584round_nanCase(void *args) 585{ 586 const double result = SDL_round(NAN); 587 SDLTest_AssertCheck(ISNAN(result), 588 "Round(nan), expected nan, got %f", 589 result); 590 return TEST_COMPLETED; 591} 592 593/** 594 * Inputs: integral values. 595 * Expected: the input value is returned as-is. 596 */ 597static int SDLCALL 598round_roundNumbersCases(void *args) 599{ 600 const d_to_d round_cases[] = { 601 { 1.0, 1.0 }, 602 { -1.0, -1.0 }, 603 { 15.0, 15.0 }, 604 { -15.0, -15.0 }, 605 { 125.0, 125.0 }, 606 { -125.0, -125.0 }, 607 { 1024.0, 1024.0 }, 608 { -1024.0, -1024.0 } 609 }; 610 return helper_dtod("Round", SDL_round, round_cases, SDL_arraysize(round_cases)); 611} 612 613/** 614 * Inputs: fractional values. 615 * Expected: the nearest integral value is returned. 616 */ 617static int SDLCALL 618round_fractionCases(void *args) 619{ 620 const d_to_d frac_cases[] = { 621 { 1.0 / 2.0, 1.0 }, 622 { -1.0 / 2.0, -1.0 }, 623 { 4.0 / 3.0, 1.0 }, 624 { -4.0 / 3.0, -1.0 }, 625 { 76.0 / 7.0, 11.0 }, 626 { -76.0 / 7.0, -11.0 }, 627 { 535.0 / 8.0, 67.0 }, 628 { -535.0 / 8.0, -67.0 }, 629 { 19357.0 / 53.0, 365.0 }, 630 { -19357.0 / 53.0, -365.0 } 631 }; 632 return helper_dtod("Round", SDL_round, frac_cases, SDL_arraysize(frac_cases)); 633} 634 635/** 636 * Inputs: values in the range [0, UINT32_MAX]. 637 * Expected: the input value is returned as-is. 638 */ 639static int SDLCALL 640round_rangeTest(void *args) 641{ 642 return helper_range("Round", SDL_round); 643} 644 645/* SDL_fabs tests functions */ 646 647/** 648 * Inputs: +/-Infinity. 649 * Expected: Positive Infinity is returned. 650 */ 651static int SDLCALL 652fabs_infCases(void *args) 653{ 654 double result; 655 656 result = SDL_fabs(INFINITY); 657 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 658 "Fabs(%f), expected %f, got %f", 659 INFINITY, INFINITY, result); 660 661 result = SDL_fabs(-INFINITY); 662 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 663 "Fabs(%f), expected %f, got %f", 664 -INFINITY, INFINITY, result); 665 666 return TEST_COMPLETED; 667} 668 669/** 670 * Inputs: +/-0.0. 671 * Expected: Positive zero is returned. 672 */ 673static int SDLCALL 674fabs_zeroCases(void *args) 675{ 676 const d_to_d zero_cases[] = { 677 { 0.0, 0.0 }, 678 { -0.0, 0.0 } 679 }; 680 return helper_dtod("Fabs", SDL_fabs, zero_cases, SDL_arraysize(zero_cases)); 681} 682 683/** 684 * Input: NAN. 685 * Expected: NAN is returned. 686 */ 687static int SDLCALL 688fabs_nanCase(void *args) 689{ 690 const double result = SDL_fabs(NAN); 691 SDLTest_AssertCheck(ISNAN(result), 692 "Fabs(nan), expected nan, got %f", 693 result); 694 return TEST_COMPLETED; 695} 696 697/** 698 * Inputs: values in the range [0, UINT32_MAX]. 699 * Expected: the input value is returned as-is. 700 */ 701static int SDLCALL 702fabs_rangeTest(void *args) 703{ 704 return helper_range("Fabs", SDL_fabs); 705} 706 707/* SDL_copysign tests functions */ 708 709/** 710 * Inputs: (+/-Infinity, +/-1.0). 711 * Expected: Infinity with the sign of 1.0 is returned. 712 */ 713static int SDLCALL 714copysign_infCases(void *args) 715{ 716 double result; 717 718 result = SDL_copysign(INFINITY, -1.0); 719 SDLTest_AssertCheck(IS_INFINITY(result) && result < 0, 720 "Copysign(%f,%.1f), expected %f, got %f", 721 INFINITY, -1.0, -INFINITY, result); 722 723 result = SDL_copysign(INFINITY, 1.0); 724 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 725 "Copysign(%f,%.1f), expected %f, got %f", 726 INFINITY, 1.0, INFINITY, result); 727 728 result = SDL_copysign(-INFINITY, -1.0); 729 SDLTest_AssertCheck(IS_INFINITY(result) && result < 0, 730 "Copysign(%f,%.1f), expected %f, got %f", 731 -INFINITY, -1.0, -INFINITY, result); 732 733 result = SDL_copysign(-INFINITY, 1.0); 734 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 735 "Copysign(%f,%.1f), expected %f, got %f", 736 -INFINITY, 1.0, INFINITY, result); 737 738 return TEST_COMPLETED; 739} 740 741/** 742 * Inputs: (+/-0.0, +/-1.0). 743 * Expected: 0.0 with the sign of 1.0 is returned. 744 */ 745static int SDLCALL 746copysign_zeroCases(void *args) 747{ 748 const dd_to_d zero_cases[] = { 749 { 0.0, 1.0, 0.0 }, 750 { 0.0, -1.0, -0.0 }, 751 { -0.0, 1.0, 0.0 }, 752 { -0.0, -1.0, -0.0 } 753 }; 754 return helper_ddtod("Copysign", SDL_copysign, zero_cases, SDL_arraysize(zero_cases)); 755} 756 757/** 758 * Inputs: (NAN, +/-1.0). 759 * Expected: NAN with the sign of 1.0 is returned. 760 * NOTE: On some platforms signed NAN is not supported, so we only check if the result is still NAN. 761 */ 762static int SDLCALL 763copysign_nanCases(void *args) 764{ 765 double result; 766 767 result = SDL_copysign(NAN, 1.0); 768 SDLTest_AssertCheck(ISNAN(result), 769 "Copysign(nan,1.0), expected nan, got %f", 770 result); 771 772 result = SDL_copysign(NAN, -1.0); 773 SDLTest_AssertCheck(ISNAN(result), 774 "Copysign(nan,-1.0), expected nan, got %f", 775 result); 776 return TEST_COMPLETED; 777} 778 779/** 780 * Inputs: values in the range [0, UINT32_MAX], +/-1.0. 781 * Expected: the input value with the sign of 1.0 is returned. 782 */ 783static int SDLCALL 784copysign_rangeTest(void *args) 785{ 786 Uint32 i; 787 double test_value = 0.0; 788 789 SDLTest_AssertPass("Copysign: Testing a range of %u values with steps of %" SDL_PRIu32, 790 RANGE_TEST_ITERATIONS, 791 RANGE_TEST_STEP); 792 793 for (i = 0; i < RANGE_TEST_ITERATIONS; i++, test_value += RANGE_TEST_STEP) { 794 double result; 795 /* These are tested elsewhere */ 796 if (ISNAN(test_value) || ISINF(test_value)) { 797 continue; 798 } 799 800 /* Only log failures to save performances */ 801 result = SDL_copysign(test_value, 1.0); 802 if (result != test_value) { 803 SDLTest_AssertCheck(false, 804 "Copysign(%.1f,%.1f), expected %.1f, got %.1f", 805 test_value, 1.0, test_value, result); 806 return TEST_ABORTED; 807 } 808 809 result = SDL_copysign(test_value, -1.0); 810 if (result != -test_value) { 811 SDLTest_AssertCheck(false, 812 "Copysign(%.1f,%.1f), expected %.1f, got %.1f", 813 test_value, -1.0, -test_value, result); 814 return TEST_ABORTED; 815 } 816 } 817 return TEST_COMPLETED; 818} 819 820/* SDL_fmod tests functions */ 821 822/** 823 * Inputs: (+/-Infinity, +/-1.0). 824 * Expected: NAN is returned. 825 */ 826static int SDLCALL 827fmod_divOfInfCases(void *args) 828{ 829 double result; 830 831 result = SDL_fmod(INFINITY, -1.0); 832 SDLTest_AssertCheck(ISNAN(result), 833 "Fmod(%f,%.1f), expected %f, got %f", 834 INFINITY, -1.0, NAN, result); 835 836 result = SDL_fmod(INFINITY, 1.0); 837 SDLTest_AssertCheck(ISNAN(result), 838 "Fmod(%f,%.1f), expected %f, got %f", 839 INFINITY, 1.0, NAN, result); 840 841 result = SDL_fmod(-INFINITY, -1.0); 842 SDLTest_AssertCheck(ISNAN(result), 843 "Fmod(%f,%.1f), expected %f, got %f", 844 -INFINITY, -1.0, NAN, result); 845 846 result = SDL_fmod(-INFINITY, 1.0); 847 SDLTest_AssertCheck(ISNAN(result), 848 "Fmod(%f,%.1f), expected %f, got %f", 849 -INFINITY, 1.0, NAN, result); 850 851 return TEST_COMPLETED; 852} 853 854/** 855 * Inputs: (+/-1.0, +/-Infinity). 856 * Expected: 1.0 is returned as-is. 857 */ 858static int SDLCALL 859fmod_divByInfCases(void *args) 860{ 861 double result; 862 863 result = SDL_fmod(1.0, INFINITY); 864 SDLTest_AssertCheck(1.0 == result, 865 "Fmod(%.1f,%f), expected %f, got %f", 866 1.0, INFINITY, 1.0, result); 867 868 result = SDL_fmod(-1.0, INFINITY); 869 SDLTest_AssertCheck(-1.0 == result, 870 "Fmod(%.1f,%f), expected %f, got %f", 871 -1.0, INFINITY, -1.0, result); 872 873 result = SDL_fmod(1.0, -INFINITY); 874 SDLTest_AssertCheck(1.0 == result, 875 "Fmod(%.1f,%f), expected %f, got %f", 876 1.0, -INFINITY, 1.0, result); 877 878 result = SDL_fmod(-1.0, -INFINITY); 879 SDLTest_AssertCheck(-1.0 == result, 880 "Fmod(%.1f,%f), expected %f, got %f", 881 -1.0, -INFINITY, -1.0, result); 882 883 return TEST_COMPLETED; 884} 885 886/** 887 * Inputs: (+/-0.0, +/-1.0). 888 * Expected: Zero is returned as-is. 889 */ 890static int SDLCALL 891fmod_divOfZeroCases(void *args) 892{ 893 const dd_to_d zero_cases[] = { 894 { 0.0, 1.0, 0.0 }, 895 { 0.0, -1.0, 0.0 }, 896 { -0.0, 1.0, -0.0 }, 897 { -0.0, -1.0, -0.0 } 898 }; 899 return helper_ddtod("Fmod", SDL_fmod, zero_cases, SDL_arraysize(zero_cases)); 900} 901 902/** 903 * Inputs: (+/-1.0, +/-0.0). 904 * Expected: NAN is returned. 905 */ 906static int SDLCALL 907fmod_divByZeroCases(void *args) 908{ 909 double result; 910 911 result = SDL_fmod(1.0, 0.0); 912 SDLTest_AssertCheck(ISNAN(result), 913 "Fmod(1.0,0.0), expected nan, got %f", 914 result); 915 916 result = SDL_fmod(-1.0, 0.0); 917 SDLTest_AssertCheck(ISNAN(result), 918 "Fmod(-1.0,0.0), expected nan, got %f", 919 result); 920 921 result = SDL_fmod(1.0, -0.0); 922 SDLTest_AssertCheck(ISNAN(result), 923 "Fmod(1.0,-0.0), expected nan, got %f", 924 result); 925 926 result = SDL_fmod(-1.0, -0.0); 927 SDLTest_AssertCheck(ISNAN(result), 928 "Fmod(-1.0,-0.0), expected nan, got %f", 929 result); 930 931 return TEST_COMPLETED; 932} 933 934/** 935 * Inputs: all permutation of NAN and +/-1.0. 936 * Expected: NAN is returned. 937 */ 938static int SDLCALL 939fmod_nanCases(void *args) 940{ 941 double result; 942 943 result = SDL_fmod(NAN, 1.0); 944 SDLTest_AssertCheck(ISNAN(result), 945 "Fmod(nan,1.0), expected nan, got %f", 946 result); 947 948 result = SDL_fmod(NAN, -1.0); 949 SDLTest_AssertCheck(ISNAN(result), 950 "Fmod(nan,-1.0), expected nan, got %f", 951 result); 952 953 result = SDL_fmod(1.0, NAN); 954 SDLTest_AssertCheck(ISNAN(result), 955 "Fmod(1.0,nan), expected nan, got %f", 956 result); 957 958 result = SDL_fmod(-1.0, NAN); 959 SDLTest_AssertCheck(ISNAN(result), 960 "Fmod(-1.0,nan), expected nan, got %f", 961 result); 962 963 return TEST_COMPLETED; 964} 965 966/** 967 * Inputs: values within the domain of the function. 968 * Expected: the correct result is returned. 969 */ 970static int SDLCALL 971fmod_regularCases(void *args) 972{ 973 const dd_to_d regular_cases[] = { 974 { 3.5, 2.0, 1.5 }, 975 { -6.25, 3.0, -0.25 }, 976 { 7.5, 2.5, 0.0 }, 977 { 2.0 / 3.0, -1.0 / 3.0, 0.0 } 978 }; 979 return helper_ddtod("Fmod", SDL_fmod, regular_cases, SDL_arraysize(regular_cases)); 980} 981 982/** 983 * Inputs: values in the range [0, UINT32_MAX] divided by 1.0. 984 * Expected: Positive zero is always returned. 985 */ 986static int SDLCALL 987fmod_rangeTest(void *args) 988{ 989 Uint32 i; 990 double test_value = 0.0; 991 992 SDLTest_AssertPass("Fmod: Testing a range of %u values with steps of %" SDL_PRIu32, 993 RANGE_TEST_ITERATIONS, 994 RANGE_TEST_STEP); 995 996 for (i = 0; i < RANGE_TEST_ITERATIONS; i++, test_value += RANGE_TEST_STEP) { 997 double result; 998 /* These are tested elsewhere */ 999 if (ISNAN(test_value) || ISINF(test_value)) { 1000 continue; 1001 } 1002 1003 /* Only log failures to save performances */ 1004 result = SDL_fmod(test_value, 1.0); 1005 if (0.0 != result) { 1006 SDLTest_AssertCheck(false, 1007 "Fmod(%.1f,%.1f), expected %.1f, got %.1f", 1008 test_value, 1.0, 0.0, result); 1009 return TEST_ABORTED; 1010 } 1011 } 1012 return TEST_COMPLETED; 1013} 1014 1015/* SDL_exp tests functions */ 1016 1017/** 1018 * Inputs: +/-Infinity. 1019 * Expected: Infinity is returned as-is. 1020 */ 1021static int SDLCALL 1022exp_infCases(void *args) 1023{ 1024 double result; 1025 1026 result = SDL_exp(INFINITY); 1027 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1028 "Exp(%f), expected %f, got %f", 1029 INFINITY, INFINITY, result); 1030 1031 result = SDL_exp(-INFINITY); 1032 SDLTest_AssertCheck(0.0 == result, 1033 "Exp(%f), expected %f, got %f", 1034 -INFINITY, 0.0, result); 1035 1036 return TEST_COMPLETED; 1037} 1038 1039/** 1040 * Inputs: +/-0.0. 1041 * Expected: 1.0 is returned. 1042 */ 1043static int SDLCALL 1044exp_zeroCases(void *args) 1045{ 1046 const d_to_d zero_cases[] = { 1047 { 0.0, 1.0 }, 1048 { -0.0, 1.0 } 1049 }; 1050 return helper_dtod("Exp", SDL_exp, zero_cases, SDL_arraysize(zero_cases)); 1051} 1052 1053/** 1054 * Input: 710.0 (overflows for 64bits double). 1055 * Expected: Infinity is returned. 1056 * NOTE: This test is skipped for double types larger than 64 bits. 1057 */ 1058static int SDLCALL 1059exp_overflowCase(void *args) 1060{ 1061 double result; 1062 1063 if (sizeof(double) > 8) { 1064 return TEST_SKIPPED; 1065 } 1066 1067 result = SDL_exp(710.0); 1068 SDLTest_AssertCheck(ISINF(result), 1069 "Exp(%f), expected %f, got %f", 1070 710.0, INFINITY, result); 1071 return TEST_COMPLETED; 1072} 1073 1074/** 1075 * Input: 1.0 1076 * Expected: The euler constant. 1077 */ 1078static int SDLCALL 1079exp_baseCase(void *args) 1080{ 1081 const double result = SDL_exp(1.0); 1082 SDLTest_AssertCheck(result >= EULER - EPSILON && 1083 result <= EULER + EPSILON, 1084 "Exp(%f), expected [%f,%f], got %f", 1085 1.0, EULER - EPSILON, EULER + EPSILON, result); 1086 return TEST_COMPLETED; 1087} 1088 1089/** 1090 * Inputs: values within the domain of the function. 1091 * Expected: the correct result is returned. 1092 */ 1093static int SDLCALL 1094exp_regularCases(void *args) 1095{ 1096 /* Hexadecimal floating constants are not supported on C89 compilers */ 1097 const d_to_d regular_cases[] = { 1098 { -101.0, 1.36853947117385291381565719268793547578002532127613087E-44 }, 1099 { -15.73, 0.00000014741707833928422931856502906683425990763681 }, 1100 { -1.0, 0.36787944117144233402427744294982403516769409179688 }, 1101 { -0.5, 0.60653065971263342426311737654032185673713684082031 }, 1102 { 0.5, 1.64872127070012819416433558217249810695648193359375 }, 1103 { 2.25, 9.48773583635852624240669683786109089851379394531250 }, 1104 { 34.125, 661148770968660.375 }, 1105 { 112.89, 10653788283588960962604279261058893737879589093376.0 }, 1106 { 539.483, 1970107755334319939701129934673541628417235942656909222826926175622435588279443011110464355295725187195188154768877850257012251677751742837992843520967922303961718983154427294786640886286983037548604937796221048661733679844353544028160.0 }, 1107 }; 1108 return helper_dtod_inexact("Exp", SDL_exp, regular_cases, SDL_arraysize(regular_cases)); 1109} 1110 1111/* SDL_log tests functions */ 1112 1113/** 1114 * Inputs: Positive Infinity and +/-0.0. 1115 * Expected: Positive and negative Infinity respectively. 1116 */ 1117static int SDLCALL 1118log_limitCases(void *args) 1119{ 1120 double result; 1121 1122 result = SDL_log(INFINITY); 1123 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1124 "Log(%f), expected %f, got %f", 1125 INFINITY, INFINITY, result); 1126 1127 result = SDL_log(0.0); 1128 SDLTest_AssertCheck(IS_INFINITY(result) && result < 0, 1129 "Log(%f), expected %f, got %f", 1130 0.0, -INFINITY, result); 1131 1132 result = SDL_log(-0.0); 1133 SDLTest_AssertCheck(IS_INFINITY(result) && result < 0, 1134 "Log(%f), expected %f, got %f", 1135 -0.0, -INFINITY, result); 1136 1137 return TEST_COMPLETED; 1138} 1139 1140/** 1141 * Inputs: 1.0 and the Euler constant. 1142 * Expected: 0.0 and 1.0 respectively. 1143 */ 1144static int SDLCALL 1145log_baseCases(void *args) 1146{ 1147 double result; 1148 1149 result = SDL_log(1.0); 1150 SDLTest_AssertCheck(0.0 == result, 1151 "Log(%f), expected %f, got %f", 1152 1.0, 0.0, result); 1153 1154 result = SDL_log(EULER); 1155 SDLTest_AssertCheck(SDL_fabs(result - 1.) < FLT_EPSILON, 1156 "Log(%f), expected %f, got %f", 1157 EULER, 1.0, result); 1158 1159 return TEST_COMPLETED; 1160} 1161 1162/** 1163 * Inputs: NAN and a negative value. 1164 * Expected: NAN is returned. 1165 */ 1166static int SDLCALL 1167log_nanCases(void *args) 1168{ 1169 double result; 1170 1171 result = SDL_log(NAN); 1172 SDLTest_AssertCheck(ISNAN(result), 1173 "Log(%f), expected %f, got %f", 1174 NAN, NAN, result); 1175 1176 result = SDL_log(-1234.5678); 1177 SDLTest_AssertCheck(ISNAN(result), 1178 "Log(%f), expected %f, got %f", 1179 -1234.5678, NAN, result); 1180 1181 return TEST_COMPLETED; 1182} 1183 1184/** 1185 * Inputs: values within the domain of the function. 1186 * Expected: the correct result is returned. 1187 */ 1188static int SDLCALL 1189log_regularCases(void *args) 1190{ 1191 const d_to_d regular_cases[] = { 1192 { 5.0, 1.60943791243410028179994242236716672778129577636718750 }, 1193 { 10.0, 2.302585092994045901093613792909309267997741699218750 }, 1194 { 56.32, 4.031049711849786554296315443934872746467590332031250 }, 1195 { 789.123, 6.670922202231861497523368598194792866706848144531250 }, 1196 { 2734.876324, 7.91384149408957959792587644187733530998229980468750 } 1197 }; 1198 return helper_dtod("Log", SDL_log, regular_cases, SDL_arraysize(regular_cases)); 1199} 1200 1201/* SDL_log10 tests functions */ 1202 1203/** 1204 * Inputs: Positive Infinity and +/-0.0. 1205 * Expected: Positive and negative Infinity respectively. 1206 */ 1207static int SDLCALL 1208log10_limitCases(void *args) 1209{ 1210 double result; 1211 1212 result = SDL_log10(INFINITY); 1213 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1214 "Log10(%f), expected %f, got %f", 1215 INFINITY, INFINITY, result); 1216 1217 result = SDL_log10(0.0); 1218 SDLTest_AssertCheck(IS_INFINITY(result) && result < 0, 1219 "Log10(%f), expected %f, got %f", 1220 0.0, -INFINITY, result); 1221 1222 result = SDL_log10(-0.0); 1223 SDLTest_AssertCheck(IS_INFINITY(result) && result < 0, 1224 "Log10(%f), expected %f, got %f", 1225 -0.0, -INFINITY, result); 1226 1227 return TEST_COMPLETED; 1228} 1229 1230/** 1231 * Inputs: Powers of ten from 0 to 9. 1232 * Expected: the exact power of ten is returned. 1233 */ 1234static int SDLCALL 1235log10_baseCases(void *args) 1236{ 1237 const d_to_d base_cases[] = { 1238 { 1.0, 0.0 }, 1239 { 10.0, 1.0 }, 1240 { 100.0, 2.0 }, 1241 { 1000.0, 3.0 }, 1242 { 10000.0, 4.0 }, 1243 { 100000.0, 5.0 }, 1244 { 1000000.0, 6.0 }, 1245 { 10000000.0, 7.0 }, 1246 { 100000000.0, 8.0 }, 1247 { 1000000000.0, 9.0 }, 1248 }; 1249 return helper_dtod("Log10", SDL_log10, base_cases, SDL_arraysize(base_cases)); 1250} 1251 1252/** 1253 * Inputs: NAN and a negative value. 1254 * Expected: NAN is returned. 1255 */ 1256static int SDLCALL 1257log10_nanCases(void *args) 1258{ 1259 double result; 1260 1261 result = SDL_log10(NAN); 1262 SDLTest_AssertCheck(ISNAN(result), 1263 "Log10(%f), expected %f, got %f", 1264 NAN, NAN, result); 1265 1266 result = SDL_log10(-1234.5678); 1267 SDLTest_AssertCheck(ISNAN(result), 1268 "Log10(%f), expected %f, got %f", 1269 -1234.5678, NAN, result); 1270 1271 return TEST_COMPLETED; 1272} 1273 1274/** 1275 * Inputs: values within the domain of the function. 1276 * Expected: the correct result is returned. 1277 */ 1278static int SDLCALL 1279log10_regularCases(void *args) 1280{ 1281 const d_to_d regular_cases[] = { 1282 { 5.0, 0.698970004336018857493684208748163655400276184082031250 }, 1283 { 12.5, 1.09691001300805646145875016372883692383766174316406250 }, 1284 { 56.32, 1.750662646134055755453573510749265551567077636718750 }, 1285 { 789.123, 2.8971447016351858927407647570362314581871032714843750 }, 1286 { 2734.876324, 3.436937691540090433761633903486654162406921386718750 } 1287 }; 1288 return helper_dtod_inexact("Log10", SDL_log10, regular_cases, SDL_arraysize(regular_cases)); 1289} 1290 1291/* SDL_modf tests functions */ 1292 1293static int SDLCALL 1294modf_baseCases(void *args) 1295{ 1296 double fractional, integral; 1297 1298 fractional = SDL_modf(1.25, &integral); 1299 SDLTest_AssertCheck(integral == 1.0, 1300 "modf(%f), expected integral %f, got %f", 1301 1.25, 1.0, integral); 1302 SDLTest_AssertCheck(fractional == 0.25, 1303 "modf(%f), expected fractional %f, got %f", 1304 1.25, 0.25, fractional); 1305 1306 return TEST_COMPLETED; 1307} 1308 1309/* SDL_pow tests functions */ 1310 1311/* Tests with positive and negative infinities as exponents */ 1312 1313/** 1314 * Inputs: (-1.0, +/-Infinity). 1315 * Expected: 1.0 is returned. 1316 */ 1317static int SDLCALL 1318pow_baseNOneExpInfCases(void *args) 1319{ 1320 double result; 1321 1322 result = SDL_pow(-1.0, INFINITY); 1323 SDLTest_AssertCheck(1.0 == result, 1324 "Pow(%f,%f), expected %f, got %f", 1325 -1.0, INFINITY, 1.0, result); 1326 1327 result = SDL_pow(-1.0, -INFINITY); 1328 SDLTest_AssertCheck(1.0 == result, 1329 "Pow(%f,%f), expected %f, got %f", 1330 -1.0, -INFINITY, 1.0, result); 1331 1332 return TEST_COMPLETED; 1333} 1334/** 1335 * Inputs: (+/-0.0, -Infinity). 1336 * Expected: Infinity is returned. 1337 */ 1338static int SDLCALL 1339pow_baseZeroExpNInfCases(void *args) 1340{ 1341 double result; 1342 1343 result = SDL_pow(0.0, -INFINITY); 1344 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1345 "Pow(%f,%f), expected %f, got %f", 1346 0.0, -INFINITY, INFINITY, result); 1347 1348 result = SDL_pow(-0.0, -INFINITY); 1349 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1350 "Pow(%f,%f), expected %f, got %f", 1351 -0.0, -INFINITY, INFINITY, result); 1352 1353 return TEST_COMPLETED; 1354} 1355 1356/** 1357 * Inputs: (x, +/-Infinity) where x is not +/-0.0. 1358 * Expected: 0.0 when x < 1, Infinity when x > 1. 1359 */ 1360static int SDLCALL 1361pow_expInfCases(void *args) 1362{ 1363 double result; 1364 1365 result = SDL_pow(0.5, INFINITY); 1366 SDLTest_AssertCheck(0.0 == result, 1367 "Pow(%f,%f), expected %f, got %f", 1368 0.5, INFINITY, 0.0, result); 1369 1370 result = SDL_pow(1.5, INFINITY); 1371 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1372 "Pow(%f,%f), expected %f, got %f", 1373 1.5, INFINITY, INFINITY, result); 1374 1375 result = SDL_pow(0.5, -INFINITY); 1376 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1377 "Pow(%f,%f), expected %f, got %f", 1378 0.5, INFINITY, INFINITY, result); 1379 1380 result = SDL_pow(1.5, -INFINITY); 1381 SDLTest_AssertCheck(0.0 == result, 1382 "Pow(%f,%f), expected %f, got %f", 1383 1.5, -INFINITY, 0.0, result); 1384 1385 return TEST_COMPLETED; 1386} 1387 1388/* Tests with positive and negative infinities as base */ 1389 1390/** 1391 * Inputs: (Positive Infinity, x) where x is not +/-0.0. 1392 * Expected: 0.0 when x is < 0, positive Infinity when x > 0. 1393 */ 1394static int SDLCALL 1395pow_basePInfCases(void *args) 1396{ 1397 double result; 1398 1399 result = SDL_pow(INFINITY, -3.0); 1400 SDLTest_AssertCheck(0.0 == result, 1401 "Pow(%f,%f), expected %f, got %f", 1402 INFINITY, -3.0, 0.0, result); 1403 1404 result = SDL_pow(INFINITY, 2.0); 1405 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1406 "Pow(%f,%f), expected %f, got %f", 1407 INFINITY, 2.0, INFINITY, result); 1408 1409 result = SDL_pow(INFINITY, -2.12345); 1410 SDLTest_AssertCheck(0.0 == result, 1411 "Pow(%f,%f), expected %f, got %f", 1412 INFINITY, -2.12345, 0.0, result); 1413 1414 result = SDL_pow(INFINITY, 3.1345); 1415 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1416 "Pow(%f,%f), expected %f, got %f", 1417 INFINITY, 3.12345, INFINITY, result); 1418 1419 return TEST_COMPLETED; 1420} 1421 1422/** 1423 * Inputs: (Negative Infinity, x) where x is not +/-0.0. 1424 * Expected: 1425 * - -0.0 when x is a negative odd integer, 1426 * - 0.0 when x is a negative even integer or negative non-integer, 1427 * - Negative Infinity when x is a positive odd integer, 1428 * - Positive Infinity when x is a positive even integer or positive non-integer. 1429 */ 1430static int SDLCALL 1431pow_baseNInfCases(void *args) 1432{ 1433 double result; 1434 1435 result = SDL_pow(-INFINITY, -3.0); 1436 SDLTest_AssertCheck(-0.0 == result, 1437 "Pow(%f,%f), expected %f, got %f", 1438 -INFINITY, -3.0, -0.0, result); 1439 1440 result = SDL_pow(-INFINITY, -2.0); 1441 SDLTest_AssertCheck(0.0 == result, 1442 "Pow(%f,%f), expected %f, got %f", 1443 -INFINITY, -2.0, 0.0, result); 1444 1445 result = SDL_pow(-INFINITY, -5.5); 1446 SDLTest_AssertCheck(0.0 == result, 1447 "Pow(%f,%f), expected %f, got %f", 1448 -INFINITY, -5.5, 0.0, result); 1449 1450 result = SDL_pow(-INFINITY, 3.0); 1451 SDLTest_AssertCheck(IS_INFINITY(result) && result < 0, 1452 "Pow(%f,%f), expected %f, got %f", 1453 -INFINITY, 3.0, -INFINITY, result); 1454 1455 result = SDL_pow(-INFINITY, 2.0); 1456 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1457 "Pow(%f,%f), expected %f, got %f", 1458 -INFINITY, 2.0, INFINITY, result); 1459 1460 result = SDL_pow(-INFINITY, 5.5); 1461 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1462 "Pow(%f,%f), expected %f, got %f", 1463 -INFINITY, 5.5, INFINITY, result); 1464 1465 return TEST_COMPLETED; 1466} 1467 1468/* Tests related to NAN */ 1469 1470/** 1471 * Inputs: 1472 * - finite and negative base, 1473 * - finite and non-integer exponent. 1474 * Expected: NAN is returned. 1475 */ 1476static int SDLCALL 1477pow_badOperationCase(void *args) 1478{ 1479 const double result = SDL_pow(-2.0, 4.2); 1480 SDLTest_AssertCheck(ISNAN(result), 1481 "Pow(%f,%f), expected %f, got %f", 1482 -2.0, 4.2, NAN, result); 1483 return TEST_COMPLETED; 1484} 1485 1486/** 1487 * Inputs: (1.0, NAN) 1488 * Expected: 1.0 is returned. 1489 */ 1490static int SDLCALL 1491pow_base1ExpNanCase(void *args) 1492{ 1493 const double result = SDL_pow(1.0, NAN); 1494 SDLTest_AssertCheck(1.0 == result, 1495 "Pow(%f,%f), expected %f, got %f", 1496 1.0, NAN, 1.0, result); 1497 return TEST_COMPLETED; 1498} 1499 1500/** 1501 * Inputs: (NAN, +/-0.0) 1502 * Expected: 1.0 is returned. 1503 */ 1504static int SDLCALL 1505pow_baseNanExp0Cases(void *args) 1506{ 1507 double result; 1508 1509 result = SDL_pow(NAN, 0.0); 1510 SDLTest_AssertCheck(1.0 == result, 1511 "Pow(%f,%f), expected %f, got %f", 1512 NAN, 0.0, 1.0, result); 1513 1514 result = SDL_pow(NAN, -0.0); 1515 SDLTest_AssertCheck(1.0 == result, 1516 "Pow(%f,%f), expected %f, got %f", 1517 NAN, -0.0, 1.0, result); 1518 1519 return TEST_COMPLETED; 1520} 1521 1522/** 1523 * Inputs: NAN as base, exponent or both. 1524 * Expected: NAN is returned. 1525 */ 1526static int SDLCALL 1527pow_nanArgsCases(void *args) 1528{ 1529 double result; 1530 1531 result = SDL_pow(7.8, NAN); 1532 SDLTest_AssertCheck(ISNAN(result), 1533 "Pow(%f,%f), expected %f, got %f", 1534 7.8, NAN, NAN, result); 1535 1536 result = SDL_pow(NAN, 10.0); 1537 SDLTest_AssertCheck(ISNAN(result), 1538 "Pow(%f,%f), expected %f, got %f", 1539 NAN, 10.0, NAN, result); 1540 1541 result = SDL_pow(NAN, NAN); 1542 SDLTest_AssertCheck(ISNAN(result), 1543 "Pow(%f,%f), expected %f, got %f", 1544 NAN, NAN, NAN, result); 1545 1546 return TEST_COMPLETED; 1547} 1548 1549/* Tests with positive and negative zeros as base */ 1550 1551/** 1552 * Inputs: (-0.0, x) where x is an odd integer. 1553 * Expected: 1554 * - Negative Infinity with a negative exponent, 1555 * - -0.0 with a positive exponent. 1556 */ 1557static int SDLCALL 1558pow_baseNZeroExpOddCases(void *args) 1559{ 1560 double result; 1561 1562 result = SDL_pow(-0.0, -3.0); 1563 SDLTest_AssertCheck(IS_INFINITY(result) && result < 0, 1564 "Pow(%f,%f), expected %f, got %f", 1565 -0.0, -3.0, -INFINITY, result); 1566 1567 result = SDL_pow(-0.0, 3.0); 1568 SDLTest_AssertCheck(-0.0 == result, 1569 "Pow(%f,%f), expected %f, got %f", 1570 -0.0, 3.0, -0.0, result); 1571 1572 return TEST_COMPLETED; 1573} 1574 1575/** 1576 * Inputs: (0.0, x) where x is an odd integer. 1577 * Expected: 1578 * - 0.0 with a positive exponent, 1579 * - Positive Infinity with a negative exponent. 1580 */ 1581static int SDLCALL 1582pow_basePZeroExpOddCases(void *args) 1583{ 1584 double result; 1585 1586 result = SDL_pow(0.0, -5.0); 1587 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1588 "Pow(%f,%f), expected %f, got %f", 1589 0.0, -5.0, INFINITY, result); 1590 1591 result = SDL_pow(0.0, 5.0); 1592 SDLTest_AssertCheck(0.0 == result, 1593 "Pow(%f,%f), expected %f, got %f", 1594 0.0, 5.0, 0.0, result); 1595 1596 return TEST_COMPLETED; 1597} 1598 1599/** 1600 * Inputs: (-0.0, x), with x either: 1601 * - finite and even, 1602 * - finite and non-integer. 1603 * Expected: 1604 * - Positive Infinity if the exponent is negative, 1605 * - 0.0 if the exponent is positive. 1606 */ 1607static int SDLCALL 1608pow_baseNZeroCases(void *args) 1609{ 1610 double result; 1611 1612 result = SDL_pow(-0.0, -3.5); 1613 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1614 "Pow(%f,%f), expected %f, got %f", 1615 -0.0, -3.5, INFINITY, result); 1616 1617 result = SDL_pow(-0.0, -4.0); 1618 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1619 "Pow(%f,%f), expected %f, got %f", 1620 -0.0, -4.0, INFINITY, result); 1621 1622 result = SDL_pow(-0.0, 3.5); 1623 SDLTest_AssertCheck(0.0 == result, 1624 "Pow(%f,%f), expected %f, got %f", 1625 -0.0, 3.5, 0.0, result); 1626 1627 result = SDL_pow(-0.0, 4.0); 1628 SDLTest_AssertCheck(0.0 == result, 1629 "Pow(%f,%f), expected %f, got %f", 1630 -0.0, 4.0, 0.0, result); 1631 1632 return TEST_COMPLETED; 1633} 1634 1635/** 1636 * Inputs: (0.0, x), with x either: 1637 * - finite and even, 1638 * - finite and non-integer. 1639 * Expected: 1640 * - Positive Infinity if the exponent is negative, 1641 * - 0.0 if the exponent is positive. 1642 */ 1643static int SDLCALL 1644pow_basePZeroCases(void *args) 1645{ 1646 double result; 1647 1648 result = SDL_pow(0.0, -3.5); 1649 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1650 "Pow(%f,%f), expected %f, got %f", 1651 0.0, -3.5, INFINITY, result); 1652 1653 result = SDL_pow(0.0, -4.0); 1654 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1655 "Pow(%f,%f), expected %f, got %f", 1656 0.0, -4.0, INFINITY, result); 1657 1658 result = SDL_pow(0.0, 3.5); 1659 SDLTest_AssertCheck(0.0 == result, 1660 "Pow(%f,%f), expected %f, got %f", 1661 0.0, 3.5, 0.0, result); 1662 1663 result = SDL_pow(0.0, 4.0); 1664 SDLTest_AssertCheck(0.0 == result, 1665 "Pow(%f,%f), expected %f, got %f", 1666 0.0, 4.0, 0.0, result); 1667 1668 return TEST_COMPLETED; 1669} 1670 1671/* Remaining tests */ 1672 1673/** 1674 * Inputs: values within the domain of the function. 1675 * Expected: the correct result is returned. 1676 */ 1677static int SDLCALL 1678pow_regularCases(void *args) 1679{ 1680 const dd_to_d regular_cases[] = { 1681#if 0 /* These tests fail when using the Mingw C runtime, we'll disable them for now */ 1682 { -391.25, -2.0, 0.00000653267870448815438463212659780943170062528224661946296691894531250 }, 1683 { -72.3, 12.0, 20401381050275984310272.0 }, 1684#endif 1685 { -5.0, 3.0, -125.0 }, 1686 { 3.0, 2.5, 15.58845726811989607085706666111946105957031250 }, 1687 { 39.23, -1.5, 0.0040697950366865498147972424192175822099670767784118652343750 }, 1688 { 478.972, 12.125, 315326359630449587856007411793920.0 } 1689 }; 1690 return helper_ddtod_inexact("Pow", SDL_pow, regular_cases, SDL_arraysize(regular_cases)); 1691} 1692 1693/** 1694 * Inputs: (2.0, x), with x in range [0, 8]. 1695 * Expected: the correct result is returned. 1696 */ 1697static int SDLCALL 1698pow_powerOfTwo(void *args) 1699{ 1700 const dd_to_d power_of_two_cases[] = { 1701 { 2.0, 1.0, 2.0 }, 1702 { 2.0, 2.0, 4.0 }, 1703 { 2.0, 3.0, 8.0 }, 1704 { 2.0, 4.0, 16.0 }, 1705 { 2.0, 5.0, 32.0 }, 1706 { 2.0, 6.0, 64.0 }, 1707 { 2.0, 7.0, 128.0 }, 1708 { 2.0, 8.0, 256.0 }, 1709 }; 1710 return helper_ddtod("Pow", SDL_pow, power_of_two_cases, SDL_arraysize(power_of_two_cases)); 1711} 1712 1713/** 1714 * Inputs: values in the range [0, UINT32_MAX] to the power of +/-0.0. 1715 * Expected: 1.0 is always returned. 1716 */ 1717static int SDLCALL 1718pow_rangeTest(void *args) 1719{ 1720 Uint32 i; 1721 double test_value = 0.0; 1722 1723 SDLTest_AssertPass("Pow: Testing a range of %u values with steps of %" SDL_PRIu32, 1724 RANGE_TEST_ITERATIONS, 1725 RANGE_TEST_STEP); 1726 1727 for (i = 0; i < RANGE_TEST_ITERATIONS; i++, test_value += RANGE_TEST_STEP) { 1728 double result; 1729 /* These are tested elsewhere */ 1730 if (ISNAN(test_value) || ISINF(test_value)) { 1731 continue; 1732 } 1733 1734 /* Only log failures to save performances */ 1735 result = SDL_pow(test_value, 0.0); 1736 if (result != 1.0) { 1737 SDLTest_AssertCheck(false, 1738 "Pow(%.1f,%.1f), expected %.1f, got %.1f", 1739 test_value, 1.0, 1.0, result); 1740 return TEST_ABORTED; 1741 } 1742 1743 result = SDL_pow(test_value, -0.0); 1744 if (result != 1.0) { 1745 SDLTest_AssertCheck(false, 1746 "Pow(%.1f,%.1f), expected %.1f, got %.1f", 1747 test_value, -0.0, 1.0, result); 1748 return TEST_ABORTED; 1749 } 1750 } 1751 return TEST_COMPLETED; 1752} 1753 1754/* SDL_sqrt tests functions */ 1755 1756/** 1757 * Input: Positive Infinity. 1758 * Expected: Positive Infinity is returned. 1759 */ 1760static int SDLCALL 1761sqrt_infCase(void *args) 1762{ 1763 const double result = SDL_sqrt(INFINITY); 1764 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1765 "Sqrt(%f), expected %f, got %f", 1766 INFINITY, INFINITY, result); 1767 return TEST_COMPLETED; 1768} 1769 1770/** 1771 * Input: NAN. 1772 * Expected: NAN is returned. 1773 */ 1774static int SDLCALL 1775sqrt_nanCase(void *args) 1776{ 1777 const double result = SDL_sqrt(NAN); 1778 SDLTest_AssertCheck(ISNAN(result), 1779 "Sqrt(%f), expected %f, got %f", 1780 NAN, NAN, result); 1781 return TEST_COMPLETED; 1782} 1783 1784/** 1785 * Inputs: values outside the domain of the function. 1786 * Expected: NAN is returned. 1787 */ 1788static int SDLCALL 1789sqrt_outOfDomainCases(void *args) 1790{ 1791 double result; 1792 1793 result = SDL_sqrt(-1.0); 1794 SDLTest_AssertCheck(ISNAN(result), 1795 "Sqrt(%f), expected %f, got %f", 1796 -1.0, NAN, result); 1797 1798 result = SDL_sqrt(-12345.6789); 1799 SDLTest_AssertCheck(ISNAN(result), 1800 "Sqrt(%f), expected %f, got %f", 1801 -12345.6789, NAN, result); 1802 1803 result = SDL_sqrt(-INFINITY); 1804 SDLTest_AssertCheck(ISNAN(result), 1805 "Sqrt(%f), expected %f, got %f", 1806 -INFINITY, NAN, result); 1807 1808 return TEST_COMPLETED; 1809} 1810 1811/** 1812 * Inputs: +/-0.0 and 1.0. 1813 * Expected: the input value is returned as-is. 1814 */ 1815static int SDLCALL 1816sqrt_baseCases(void *args) 1817{ 1818 const d_to_d base_cases[] = { 1819 { -0.0, -0.0 }, 1820 { 0.0, 0.0 }, 1821 { 1.0, 1.0 } 1822 }; 1823 return helper_dtod("Sqrt", SDL_sqrt, base_cases, SDL_arraysize(base_cases)); 1824} 1825 1826/** 1827 * Inputs: values within the domain of the function. 1828 * Expected: the correct result is returned. 1829 */ 1830static int SDLCALL 1831sqrt_regularCases(void *args) 1832{ 1833 const d_to_d regular_cases[] = { 1834 { 4.0, 2.0 }, 1835 { 9.0, 3.0 }, 1836 { 27.2, 5.21536192416211896727418206864967942237854003906250 }, 1837 { 240.250, 15.5 }, 1838 { 1337.0, 36.565010597564445049556525191292166709899902343750 }, 1839 { 2887.12782400000014604302123188972473144531250, 53.732 }, 1840 { 65600.0156250, 256.125 } 1841 }; 1842 return helper_dtod_inexact("Sqrt", SDL_sqrt, regular_cases, SDL_arraysize(regular_cases)); 1843} 1844 1845/* SDL_scalbn tests functions */ 1846 1847/** 1848 * Input: (+/-Infinity, 1). 1849 * Expected: Infinity is returned as-is. 1850 */ 1851static int SDLCALL 1852scalbn_infCases(void *args) 1853{ 1854 double result; 1855 1856 result = SDL_scalbn(INFINITY, 1); 1857 SDLTest_AssertCheck(IS_INFINITY(result) && result > 0, 1858 "Scalbn(%f,%d), expected %f, got %f", 1859 INFINITY, 1, INFINITY, result); 1860 1861 result = SDL_scalbn(-INFINITY, 1); 1862 SDLTest_AssertCheck(IS_INFINITY(result) && result < 0, 1863 "Scalbn(%f,%d), expected %f, got %f", 1864 -INFINITY, 1, -INFINITY, result); 1865 1866 return TEST_COMPLETED; 1867} 1868 1869/** 1870 * Inputs: (+/-0.0, 1). 1871 * Expected: Zero is returned as-is. 1872 */ 1873static int SDLCALL 1874scalbn_baseZeroCases(void *args) 1875{ 1876 double result; 1877 1878 result = SDL_scalbn(0.0, 1); 1879 SDLTest_AssertCheck(0.0 == result, 1880 "Scalbn(%f,%d), expected %f, got %f", 1881 0.0, 1, 0.0, result); 1882 1883 result = SDL_scalbn(-0.0, 1); 1884 SDLTest_AssertCheck(-0.0 == result, 1885 "Scalbn(%f,%d), expected %f, got %f", 1886 -0.0, 1, -0.0, result); 1887 1888 return TEST_COMPLETED; 1889} 1890 1891/** 1892 * Input: (x, 0) 1893 * Expected: x is returned as-is. 1894 */ 1895static int SDLCALL 1896scalbn_expZeroCase(void *args) 1897{ 1898 const double result = SDL_scalbn(42.0, 0); 1899 SDLTest_AssertCheck(42.0 == result, 1900 "Scalbn(%f,%d), expected %f, got %f", 1901 42.0, 0, 42.0, result); 1902 return TEST_COMPLETED; 1903} 1904 1905/** 1906 * Input: (NAN, x). 1907 * Expected: NAN is returned. 1908 */ 1909static int SDLCALL 1910scalbn_nanCase(void *args) 1911{ 1912 const double result = SDL_scalbn(NAN, 2); 1913 SDLTest_AssertCheck(ISNAN(result), 1914 "Scalbn(%f,%d), expected %f, got %f", 1915 NAN, 2, NAN, result); 1916 return TEST_COMPLETED; 1917} 1918 1919/** 1920 * Inputs: values inside the domain of the function. 1921 * Expected: the correct result is returned. 1922 * NOTE: This test depends on SDL_pow and FLT_RADIX. 1923 */ 1924static int SDLCALL 1925scalbn_regularCases(void *args) 1926{ 1927 double result, expected; 1928 1929 result = SDL_scalbn(2.0, 2); 1930 expected = 2.0 * SDL_pow(FLT_RADIX, 2); 1931 SDLTest_AssertCheck(result == expected, 1932 "Scalbn(%f,%d), expected %f, got %f", 1933 2.0, 2, expected, result); 1934 1935 result = SDL_scalbn(1.0, 13); 1936 expected = 1.0 * SDL_pow(FLT_RADIX, 13); 1937 SDLTest_AssertCheck(result == expected, 1938 "Scalbn(%f,%d), expected %f, got %f", 1939 1.0, 13, expected, result); 1940 1941 result = SDL_scalbn(2.0, -5); 1942 expected = 2.0 * SDL_pow(FLT_RADIX, -5); 1943 SDLTest_AssertCheck(result == expected, 1944 "Scalbn(%f,%d), expected %f, got %f", 1945 2.0, -5, expected, result); 1946 1947 result = SDL_scalbn(-1.0, -13); 1948 expected = -1.0 * SDL_pow(FLT_RADIX, -13); 1949 SDLTest_AssertCheck(result == expected, 1950 "Scalbn(%f,%d), expected %f, got %f", 1951 -1.0, -13, expected, result); 1952 1953 return TEST_COMPLETED; 1954} 1955 1956/* SDL_cos tests functions */ 1957 1958/** 1959 * Inputs: +/-Infinity. 1960 * Expected: NAN is returned. 1961 */ 1962static int SDLCALL 1963cos_infCases(void *args) 1964{ 1965 double result; 1966 1967 result = SDL_cos(INFINITY); 1968 SDLTest_AssertCheck(ISNAN(result), 1969 "Cos(%f), expected %f, got %f", 1970 INFINITY, NAN, result); 1971 1972 result = SDL_cos(-INFINITY); 1973 SDLTest_AssertCheck(ISNAN(result), 1974 "Cos(%f), expected %f, got %f", 1975 -INFINITY, NAN, result); 1976 1977 return TEST_COMPLETED; 1978} 1979 1980/** 1981 * Input: NAN. 1982 * Expected: NAN is returned. 1983 */ 1984static int SDLCALL 1985cos_nanCase(void *args) 1986{ 1987 const double result = SDL_cos(NAN); 1988 SDLTest_AssertCheck(ISNAN(result), 1989 "Cos(%f), expected %f, got %f", 1990 NAN, NAN, result); 1991 return TEST_COMPLETED; 1992} 1993 1994/** 1995 * Inputs: +/-0.0 and +/-Pi. 1996 * Expected: +1.0 and -1.0 respectively. 1997 */ 1998static int SDLCALL 1999cos_regularCases(void *args) 2000{ 2001 const d_to_d regular_cases[] = { 2002 { -SDL_PI_D, -1.0 }, 2003 { -0.0, 1.0 }, 2004 { 0.0, 1.0 }, 2005 { SDL_PI_D, -1.0 } 2006 }; 2007 return helper_dtod("Cos", SDL_cos, regular_cases, SDL_arraysize(regular_cases)); 2008} 2009 2010/** 2011 * Inputs: Angles between 1/10 and 9/10 of Pi (positive and negative). 2012 * Expected: The correct result is returned (+/-EPSILON). 2013 */ 2014static int SDLCALL 2015cos_precisionTest(void *args) 2016{ 2017 const d_to_d precision_cases[] = { 2018 { SDL_PI_D * 1.0 / 10.0, 0.9510565162951535 }, 2019 { SDL_PI_D * 2.0 / 10.0, 0.8090169943749475 }, 2020 { SDL_PI_D * 3.0 / 10.0, 0.5877852522924731 }, 2021 { SDL_PI_D * 4.0 / 10.0, 0.30901699437494745 }, 2022 { SDL_PI_D * 5.0 / 10.0, 0.0 }, 2023 { SDL_PI_D * 6.0 / 10.0, -0.30901699437494734 }, 2024 { SDL_PI_D * 7.0 / 10.0, -0.587785252292473 }, 2025 { SDL_PI_D * 8.0 / 10.0, -0.8090169943749473 }, 2026 { SDL_PI_D * 9.0 / 10.0, -0.9510565162951535 }, 2027 { SDL_PI_D * -1.0 / 10.0, 0.9510565162951535 }, 2028 { SDL_PI_D * -2.0 / 10.0, 0.8090169943749475 }, 2029 { SDL_PI_D * -3.0 / 10.0, 0.5877852522924731 }, 2030 { SDL_PI_D * -4.0 / 10.0, 0.30901699437494745 }, 2031 { SDL_PI_D * -5.0 / 10.0, 0.0 }, 2032 { SDL_PI_D * -6.0 / 10.0, -0.30901699437494734 }, 2033 { SDL_PI_D * -7.0 / 10.0, -0.587785252292473 }, 2034 { SDL_PI_D * -8.0 / 10.0, -0.8090169943749473 }, 2035 { SDL_PI_D * -9.0 / 10.0, -0.9510565162951535 } 2036 }; 2037 return helper_dtod_inexact("Cos", SDL_cos, precision_cases, SDL_arraysize(precision_cases)); 2038} 2039 2040/** 2041 * Inputs: Values in the range [0, UINT32_MAX]. 2042 * Expected: A value between 0 and 1 is returned. 2043 */ 2044static int SDLCALL 2045cos_rangeTest(void *args) 2046{ 2047 Uint32 i; 2048 double test_value = 0.0; 2049 2050 SDLTest_AssertPass("Cos: Testing a range of %u values with steps of %" SDL_PRIu32, 2051 RANGE_TEST_ITERATIONS, 2052 RANGE_TEST_STEP); 2053 2054 for (i = 0; i < RANGE_TEST_ITERATIONS; i++, test_value += RANGE_TEST_STEP) { 2055 double result; 2056 /* These are tested elsewhere */ 2057 if (ISNAN(test_value) || ISINF(test_value)) { 2058 continue; 2059 } 2060 2061 /* Only log failures to save performances */ 2062 result = SDL_cos(test_value); 2063 if (result < -1.0 || result > 1.0) { 2064 SDLTest_AssertCheck(false, 2065 "Cos(%.1f), expected [%.1f,%.1f], got %.1f", 2066 test_value, -1.0, 1.0, result); 2067 return TEST_ABORTED; 2068 } 2069 } 2070 return TEST_COMPLETED; 2071} 2072 2073/* SDL_sin tests functions */ 2074 2075/** 2076 * Inputs: +/-Infinity. 2077 * Expected: NAN is returned. 2078 */ 2079static int SDLCALL 2080sin_infCases(void *args) 2081{ 2082 double result; 2083 2084 result = SDL_sin(INFINITY); 2085 SDLTest_AssertCheck(ISNAN(result), 2086 "Sin(%f), expected %f, got %f", 2087 INFINITY, NAN, result); 2088 2089 result = SDL_sin(-INFINITY); 2090 SDLTest_AssertCheck(ISNAN(result), 2091 "Sin(%f), expected %f, got %f", 2092 -INFINITY, NAN, result); 2093 2094 return TEST_COMPLETED; 2095} 2096 2097/** 2098 * Input: NAN. 2099 * Expected: NAN is returned. 2100 */ 2101static int SDLCALL 2102sin_nanCase(void *args) 2103{ 2104 const double result = SDL_sin(NAN); 2105 SDLTest_AssertCheck(ISNAN(result), 2106 "Sin(%f), expected %f, got %f", 2107 NAN, NAN, result); 2108 return TEST_COMPLETED; 2109} 2110 2111/** 2112 * Inputs: +/-0.0 and +/-Pi/2. 2113 * Expected: +/-0.0 and +/-1.0 respectively. 2114 */ 2115static int SDLCALL 2116sin_regularCases(void *args) 2117{ 2118 const d_to_d regular_cases[] = { 2119 { -SDL_PI_D / 2, -1.0 }, 2120 { -0.0, -0.0 }, 2121 { 0.0, 0.0 }, 2122 { SDL_PI_D / 2, 1.0 } 2123 }; 2124 return helper_dtod("Sin", SDL_sin, regular_cases, SDL_arraysize(regular_cases)); 2125} 2126 2127/** 2128 * Inputs: Angles between 1/10 and 10/10 of Pi (positive and negative). 2129 * Expected: The correct result is returned (+/-EPSILON). 2130 * NOTE: +/-Pi/2 is tested in the regular cases. 2131 */ 2132static int SDLCALL 2133sin_precisionTest(void *args) 2134{ 2135 const d_to_d precision_cases[] = { 2136 { SDL_PI_D * 1.0 / 10.0, 0.3090169943749474 }, 2137 { SDL_PI_D * 2.0 / 10.0, 0.5877852522924731 }, 2138 { SDL_PI_D * 3.0 / 10.0, 0.8090169943749475 }, 2139 { SDL_PI_D * 4.0 / 10.0, 0.9510565162951535 }, 2140 { SDL_PI_D * 6.0 / 10.0, 0.9510565162951536 }, 2141 { SDL_PI_D * 7.0 / 10.0, 0.8090169943749475 }, 2142 { SDL_PI_D * 8.0 / 10.0, 0.5877852522924732 }, 2143 { SDL_PI_D * 9.0 / 10.0, 0.3090169943749475 }, 2144 { SDL_PI_D, 0.0 }, 2145 { SDL_PI_D * -1.0 / 10.0, -0.3090169943749474 }, 2146 { SDL_PI_D * -2.0 / 10.0, -0.5877852522924731 }, 2147 { SDL_PI_D * -3.0 / 10.0, -0.8090169943749475 }, 2148 { SDL_PI_D * -4.0 / 10.0, -0.9510565162951535 }, 2149 { SDL_PI_D * -6.0 / 10.0, -0.9510565162951536 }, 2150 { SDL_PI_D * -7.0 / 10.0, -0.8090169943749475 }, 2151 { SDL_PI_D * -8.0 / 10.0, -0.5877852522924732 }, 2152 { SDL_PI_D * -9.0 / 10.0, -0.3090169943749475 }, 2153 { -SDL_PI_D, 0.0 }, 2154 }; 2155 return helper_dtod_inexact("Sin", SDL_sin, precision_cases, SDL_arraysize(precision_cases)); 2156} 2157 2158/** 2159 * Inputs: Values in the range [0, UINT32_MAX]. 2160 * Expected: A value between 0 and 1 is returned. 2161 */ 2162static int SDLCALL 2163sin_rangeTest(void *args) 2164{ 2165 Uint32 i; 2166 double test_value = 0.0; 2167 2168 SDLTest_AssertPass("Sin: Testing a range of %u values with steps of %" SDL_PRIu32, 2169 RANGE_TEST_ITERATIONS, 2170 RANGE_TEST_STEP); 2171 2172 for (i = 0; i < RANGE_TEST_ITERATIONS; i++, test_value += RANGE_TEST_STEP) { 2173 double result; 2174 /* These are tested elsewhere */ 2175 if (ISNAN(test_value) || ISINF(test_value)) { 2176 continue; 2177 } 2178 2179 /* Only log failures to save performances */ 2180 result = SDL_sin(test_value); 2181 if (result < -1.0 || result > 1.0) { 2182 SDLTest_AssertCheck(false, 2183 "Sin(%.1f), expected [%.1f,%.1f], got %.1f", 2184 test_value, -1.0, 1.0, result); 2185 return TEST_ABORTED; 2186 } 2187 } 2188 return TEST_COMPLETED; 2189} 2190 2191/* SDL_tan tests functions */ 2192 2193/** 2194 * Inputs: +/-Infinity. 2195 * Expected: NAN is returned. 2196 */ 2197static int SDLCALL 2198tan_infCases(void *args) 2199{ 2200 double result; 2201 2202 result = SDL_tan(INFINITY); 2203 SDLTest_AssertCheck(ISNAN(result), 2204 "Tan(%f), expected %f, got %f", 2205 INFINITY, NAN, result); 2206 2207 result = SDL_tan(-INFINITY); 2208 SDLTest_AssertCheck(ISNAN(result), 2209 "Tan(%f), expected %f, got %f", 2210 -INFINITY, NAN, result); 2211 2212 return TEST_COMPLETED; 2213} 2214 2215/** 2216 * Input: NAN. 2217 * Expected: NAN is returned. 2218 */ 2219static int SDLCALL 2220tan_nanCase(void *args) 2221{ 2222 const double result = SDL_tan(NAN); 2223 SDLTest_AssertCheck(ISNAN(result), 2224 "Tan(%f), expected %f, got %f", 2225 NAN, NAN, result); 2226 return TEST_COMPLETED; 2227} 2228 2229/** 2230 * Inputs: +/-0.0. 2231 * Expected: Zero is returned as-is. 2232 */ 2233static int SDLCALL 2234tan_zeroCases(void *args) 2235{ 2236 const d_to_d regular_cases[] = { 2237 { -0.0, -0.0 }, 2238 { 0.0, 0.0 } 2239 }; 2240 return helper_dtod("Tan", SDL_tan, regular_cases, SDL_arraysize(regular_cases)); 2241} 2242 2243/** 2244 * Inputs: Angles between 1/11 and 10/11 of Pi (positive and negative). 2245 * Expected: The correct result is returned (+/-EPSILON). 2246 * NOTE: +/-Pi/2 is intentionally avoided as it returns garbage values. 2247 */ 2248static int SDLCALL 2249tan_precisionTest(void *args) 2250{ 2251 const d_to_d precision_cases[] = { 2252 { SDL_PI_D * 1.0 / 11.0, 0.29362649293836673 }, 2253 { SDL_PI_D * 2.0 / 11.0, 0.642660977168331 }, 2254 { SDL_PI_D * 3.0 / 11.0, 1.1540615205330094 }, 2255 { SDL_PI_D * 4.0 / 11.0, 2.189694562989681 }, 2256 { SDL_PI_D * 5.0 / 11.0, 6.9551527717734745 }, 2257 { SDL_PI_D * 6.0 / 11.0, -6.955152771773481 }, 2258 { SDL_PI_D * 7.0 / 11.0, -2.189694562989682 }, 2259 { SDL_PI_D * 8.0 / 11.0, -1.1540615205330096 }, 2260 { SDL_PI_D * 9.0 / 11.0, -0.6426609771683314 }, 2261 { SDL_PI_D * 10.0 / 11.0, -0.2936264929383667 }, 2262 { SDL_PI_D * -1.0 / 11.0, -0.29362649293836673 }, 2263 { SDL_PI_D * -2.0 / 11.0, -0.642660977168331 }, 2264 { SDL_PI_D * -3.0 / 11.0, -1.1540615205330094 }, 2265 { SDL_PI_D * -4.0 / 11.0, -2.189694562989681 }, 2266 { SDL_PI_D * -5.0 / 11.0, -6.9551527717734745 }, 2267 { SDL_PI_D * -6.0 / 11.0, 6.955152771773481 }, 2268 { SDL_PI_D * -7.0 / 11.0, 2.189694562989682 }, 2269 { SDL_PI_D * -8.0 / 11.0, 1.1540615205330096 }, 2270 { SDL_PI_D * -9.0 / 11.0, 0.6426609771683314 }, 2271 { SDL_PI_D * -10.0 / 11.0, 0.2936264929383667 } 2272 }; 2273 return helper_dtod_inexact("Tan", SDL_tan, precision_cases, SDL_arraysize(precision_cases)); 2274} 2275 2276/* SDL_acos tests functions */ 2277 2278/** 2279 * Inputs: +/-1.0. 2280 * Expected: 0.0 and Pi respectively. 2281 */ 2282static int SDLCALL 2283acos_limitCases(void *args) 2284{ 2285 double result; 2286 2287 result = SDL_acos(1.0); 2288 SDLTest_AssertCheck(0.0 == result, 2289 "Acos(%f), expected %f, got %f", 2290 1.0, 0.0, result); 2291 2292 result = SDL_acos(-1.0); 2293 SDLTest_AssertCheck(SDL_fabs(SDL_PI_D - result) <= EPSILON, 2294 "Acos(%f), expected %f, got %f", 2295 -1.0, SDL_PI_D, result); 2296 2297 return TEST_COMPLETED; 2298} 2299 2300/** 2301 * Inputs: Values outside the domain of [-1, 1]. 2302 * Expected: NAN is returned. 2303 */ 2304static int SDLCALL 2305acos_outOfDomainCases(void *args) 2306{ 2307 double result; 2308 2309 result = SDL_acos(1.1); 2310 SDLTest_AssertCheck(ISNAN(result), 2311 "Acos(%f), expected %f, got %f", 2312 1.1, NAN, result); 2313 2314 result = SDL_acos(-1.1); 2315 SDLTest_AssertCheck(ISNAN(result), 2316 "Acos(%f), expected %f, got %f", 2317 -1.1, NAN, result); 2318 2319 return TEST_COMPLETED; 2320} 2321 2322/** 2323 * Input: NAN. 2324 * Expected: NAN is returned. 2325 */ 2326static int SDLCALL 2327acos_nanCase(void *args) 2328{ 2329 const double result = SDL_acos(NAN); 2330 SDLTest_AssertCheck(ISNAN(result), 2331 "Acos(%f), expected %f, got %f", 2332 NAN, NAN, result); 2333 return TEST_COMPLETED; 2334} 2335 2336/** 2337 * Inputs: Values between -0.9 and 0.9 with steps of 0.1. 2338 * Expected: The correct result is returned (+/-EPSILON). 2339 */ 2340static int SDLCALL 2341acos_precisionTest(void *args) 2342{ 2343 const d_to_d precision_cases[] = { 2344 { 0.9, 0.4510268117 }, 2345 { 0.8, 0.6435011087 }, 2346 { 0.7, 0.7953988301 }, 2347 { 0.6, 0.9272952180 }, 2348 { 0.5, 1.0471975511 }, 2349 { 0.4, 1.1592794807 }, 2350 { 0.3, 1.2661036727 }, 2351 { 0.2, 1.3694384060 }, 2352 { 0.1, 1.4706289056 }, 2353 { 0.0, 1.5707963267 }, 2354 { -0.0, 1.5707963267 }, 2355 { -0.1, 1.6709637479 }, 2356 { -0.2, 1.7721542475 }, 2357 { -0.3, 1.8754889808 }, 2358 { -0.4, 1.9823131728 }, 2359 { -0.5, 2.0943951023 }, 2360 { -0.6, 2.2142974355 }, 2361 { -0.7, 2.3461938234 }, 2362 { -0.8, 2.4980915447 }, 2363 { -0.9, 2.6905658417 }, 2364 }; 2365 return helper_dtod_inexact("Acos", SDL_acos, precision_cases, SDL_arraysize(precision_cases)); 2366} 2367 2368/* SDL_asin tests functions */ 2369 2370/** 2371 * Inputs: +/-1.0. 2372 * Expected: +/-Pi/2 is returned. 2373 */ 2374static int SDLCALL 2375asin_limitCases(void *args) 2376{ 2377 double result; 2378 2379 result = SDL_asin(1.0); 2380 SDLTest_AssertCheck(SDL_fabs(SDL_PI_D / 2.0 - result) <= EPSILON, 2381 "Asin(%f), expected %f, got %f", 2382 1.0, SDL_PI_D / 2.0, result); 2383 2384 result = SDL_asin(-1.0); 2385 SDLTest_AssertCheck(SDL_fabs(-SDL_PI_D / 2.0 - result) <= EPSILON, 2386 "Asin(%f), expected %f, got %f", 2387 -1.0, -SDL_PI_D / 2.0, result); 2388 2389 return TEST_COMPLETED; 2390} 2391 2392/** 2393 * Inputs: Values outside the domain of [-1, 1]. 2394 * Expected: NAN is returned. 2395 */ 2396static int SDLCALL 2397asin_outOfDomainCases(void *args) 2398{ 2399 double result; 2400 2401 result = SDL_asin(1.1); 2402 SDLTest_AssertCheck(ISNAN(result), 2403 "Asin(%f), expected %f, got %f", 2404 1.1, NAN, result); 2405 2406 result = SDL_asin(-1.1); 2407 SDLTest_AssertCheck(ISNAN(result), 2408 "Asin(%f), expected %f, got %f", 2409 -1.1, NAN, result); 2410 2411 return TEST_COMPLETED; 2412} 2413 2414/** 2415 * Input: NAN. 2416 * Expected: NAN is returned. 2417 */ 2418static int SDLCALL 2419asin_nanCase(void *args) 2420{ 2421 const double result = SDL_asin(NAN); 2422 SDLTest_AssertCheck(ISNAN(result), 2423 "Asin(%f), expected %f, got %f", 2424 NAN, NAN, result); 2425 return TEST_COMPLETED; 2426} 2427 2428/** 2429 * Inputs: Values between -0.9 and 0.9 with steps of 0.1. 2430 * Expected: The correct result is returned (+/-EPSILON). 2431 */ 2432static int SDLCALL 2433asin_precisionTest(void *args) 2434{ 2435 const d_to_d precision_cases[] = { 2436 { 0.9, 1.1197695149986342 }, 2437 { 0.8, 0.9272952180016123 }, 2438 { 0.7, 0.775397496610753 }, 2439 { 0.6, 0.6435011087932844 }, 2440 { 0.5, 0.5235987755982989 }, 2441 { 0.4, 0.41151684606748806 }, 2442 { 0.3, 0.3046926540153976 }, 2443 { 0.2, 0.20135792079033074 }, 2444 { 0.1, 0.10016742116155977 }, 2445 { 0.0, 0.0 }, 2446 { -0.0, -0.0 }, 2447 { -0.1, -0.10016742116155977 }, 2448 { -0.2, -0.20135792079033074 }, 2449 { -0.3, -0.3046926540153976 }, 2450 { -0.4, -0.41151684606748806 }, 2451 { -0.5, -0.5235987755982989 }, 2452 { -0.6, -0.6435011087932844 }, 2453 { -0.7, -0.775397496610753 }, 2454 { -0.8, -0.9272952180016123 }, 2455 { -0.9, -1.1197695149986342 } 2456 }; 2457 return helper_dtod_inexact("Asin", SDL_asin, precision_cases, SDL_arraysize(precision_cases)); 2458} 2459 2460/* SDL_atan tests functions */ 2461 2462/** 2463 * Inputs: +/-Infinity. 2464 * Expected: +/-Pi/2 is returned. 2465 */ 2466static int SDLCALL 2467atan_limitCases(void *args) 2468{ 2469 double result; 2470 2471 result = SDL_atan(INFINITY); 2472 SDLTest_AssertCheck((SDL_PI_D / 2.0) - EPSILON <= result && 2473 result <= (SDL_PI_D / 2.0) + EPSILON, 2474 "Atan(%f), expected %f, got %f", 2475 INFINITY, SDL_PI_D / 2.0, result); 2476 2477 result = SDL_atan(-INFINITY); 2478 SDLTest_AssertCheck((-SDL_PI_D / 2.0) - EPSILON <= result && 2479 result <= (-SDL_PI_D / 2.0) + EPSILON, 2480 "Atan(%f), expected %f, got %f", 2481 -INFINITY, -SDL_PI_D / 2.0, result); 2482 2483 return TEST_COMPLETED; 2484} 2485 2486/** 2487 * Inputs: +/-0.0. 2488 * Expected: Zero is returned as-is. 2489 */ 2490static int SDLCALL 2491atan_zeroCases(void *args) 2492{ 2493 double result; 2494 2495 result = SDL_atan(0.0); 2496 SDLTest_AssertCheck(0.0 == result, 2497 "Atan(%f), expected %f, got %f", 2498 0.0, 0.0, result); 2499 2500 result = SDL_atan(-0.0); 2501 SDLTest_AssertCheck(-0.0 == result, 2502 "Atan(%f), expected %f, got %f", 2503 -0.0, -0.0, result); 2504 2505 return TEST_COMPLETED; 2506} 2507 2508/** 2509 * Input: NAN. 2510 * Expected: NAN is returned. 2511 */ 2512static int SDLCALL 2513atan_nanCase(void *args) 2514{ 2515 const double result = SDL_atan(NAN); 2516 SDLTest_AssertCheck(ISNAN(result), 2517 "Atan(%f), expected %f, got %f", 2518 NAN, NAN, result); 2519 return TEST_COMPLETED; 2520} 2521 2522/** 2523 * Inputs: Values corresponding to angles between 9Pi/20 and -9Pi/20 with steps of Pi/20. 2524 * Expected: The correct result is returned (+/-EPSILON). 2525 */ 2526static int SDLCALL 2527atan_precisionTest(void *args) 2528{ 2529 const d_to_d precision_cases[] = { 2530 { 6.313751514675041, 1.413716694115407 }, 2531 { 3.0776835371752527, 1.2566370614359172 }, 2532 { 1.9626105055051504, 1.0995574287564276 }, 2533 { 1.3763819204711734, 0.9424777960769379 }, 2534 { 1.0, 0.7853981633974483 }, 2535 { 0.7265425280053609, 0.6283185307179586 }, 2536 { 0.5095254494944288, 0.47123889803846897 }, 2537 { 0.3249196962329063, 0.3141592653589793 }, 2538 { 0.15838444032453627, 0.15707963267948966 }, 2539 { -0.15838444032453627, -0.15707963267948966 }, 2540 { -0.3249196962329063, -0.3141592653589793 }, 2541 { -0.5095254494944288, -0.47123889803846897 }, 2542 { -0.7265425280053609, -0.6283185307179586 }, 2543 { -1.0, -0.7853981633974483 }, 2544 { -1.3763819204711734, -0.9424777960769379 }, 2545 { -1.9626105055051504, -1.0995574287564276 }, 2546 { -3.0776835371752527, -1.2566370614359172 }, 2547 { -6.313751514675041, -1.413716694115407 }, 2548 }; 2549 return helper_dtod_inexact("Atan", SDL_atan, precision_cases, SDL_arraysize(precision_cases)); 2550} 2551 2552/* SDL_atan2 tests functions */ 2553 2554/* Zero cases */ 2555 2556/** 2557 * Inputs: (+/-0.0, +/-0.0). 2558 * Expected: 2559 * - Zero if the second argument is positive zero. 2560 * - Pi if the second argument is negative zero. 2561 * - The sign is inherited from the first argument. 2562 */ 2563static int SDLCALL 2564atan2_bothZeroCases(void *args) 2565{ 2566 const dd_to_d cases[] = { 2567 { 0.0, 0.0, 0.0 }, 2568 { -0.0, 0.0, -0.0 }, 2569 { 0.0, -0.0, SDL_PI_D }, 2570 { -0.0, -0.0, -SDL_PI_D }, 2571 }; 2572 return helper_ddtod_inexact("SDL_atan2", SDL_atan2, cases, SDL_arraysize(cases)); 2573} 2574 2575/** 2576 * Inputs: (+/-0.0, +/-1.0). 2577 * Expected: 2578 * - Zero if the second argument is positive. 2579 * - Pi if the second argument is negative. 2580 * - The sign is inherited from the first argument. 2581 */ 2582static int SDLCALL 2583atan2_yZeroCases(void *args) 2584{ 2585 const dd_to_d cases[] = { 2586 { 0.0, 1.0, 0.0 }, 2587 { 0.0, -1.0, SDL_PI_D }, 2588 { -0.0, 1.0, -0.0 }, 2589 { -0.0, -1.0, -SDL_PI_D } 2590 }; 2591 return helper_ddtod_inexact("SDL_atan2", SDL_atan2, cases, SDL_arraysize(cases)); 2592} 2593 2594/** 2595 * Inputs: (+/-1.0, +/-0.0). 2596 * Expected: Pi/2 with the sign of the first argument. 2597 */ 2598static int SDLCALL 2599atan2_xZeroCases(void *args) 2600{ 2601 const dd_to_d cases[] = { 2602 { 1.0, 0.0, SDL_PI_D / 2.0 }, 2603 { -1.0, 0.0, -SDL_PI_D / 2.0 }, 2604 { 1.0, -0.0, SDL_PI_D / 2.0 }, 2605 { -1.0, -0.0, -SDL_PI_D / 2.0 } 2606 }; 2607 return helper_ddtod_inexact("SDL_atan2", SDL_atan2, cases, SDL_arraysize(cases)); 2608} 2609 2610/* Infinity cases */ 2611 2612/** 2613 * Inputs: (+/-Infinity, +/-Infinity). 2614 * Expected: 2615 * - (+int, +inf) -> Pi/4, 2616 * - (+int, -inf) -> 3Pi/4, 2617 * - (-int, +inf) -> -Pi/4, 2618 * - (-int, -inf) -> Pi. 2619 */ 2620static int SDLCALL 2621atan2_bothInfCases(void *args) 2622{ 2623 double result; 2624 2625 result = SDL_atan2(INFINITY, INFINITY); 2626 SDLTest_AssertCheck(SDL_fabs(SDL_PI_D / 4.0 - result) <= EPSILON, 2627 "Atan2(%f,%f), expected %f, got %f", 2628 INFINITY, INFINITY, SDL_PI_D / 4.0, result); 2629 2630 result = SDL_atan2(INFINITY, -INFINITY); 2631 SDLTest_AssertCheck(SDL_fabs(3.0 * SDL_PI_D / 4.0 - result) <= EPSILON, 2632 "Atan2(%f,%f), expected %f, got %f", 2633 INFINITY, -INFINITY, 3.0 * SDL_PI_D / 4.0, result); 2634 2635 result = SDL_atan2(-INFINITY, INFINITY); 2636 SDLTest_AssertCheck(SDL_fabs(-SDL_PI_D / 4.0 - result) <= EPSILON, 2637 "Atan2(%f,%f), expected %f, got %f", 2638 -INFINITY, INFINITY, -SDL_PI_D / 4.0, result); 2639 2640 result = SDL_atan2(-INFINITY, -INFINITY); 2641 SDLTest_AssertCheck(SDL_fabs(-3.0 * SDL_PI_D / 4.0 - result) <= EPSILON, 2642 "Atan2(%f,%f), expected %f, got %f", 2643 -INFINITY, -INFINITY, -3.0 * SDL_PI_D / 4.0, result); 2644 2645 return TEST_COMPLETED; 2646} 2647 2648/** 2649 * Inputs: (+/-Infinity, +/-1.0). 2650 * Expected: Pi/2 with the sign of the first argument. 2651 */ 2652static int SDLCALL 2653atan2_yInfCases(void *args) 2654{ 2655 double result; 2656 2657 result = SDL_atan2(INFINITY, 1.0); 2658 SDLTest_AssertCheck(SDL_fabs(SDL_PI_D / 2.0 - result) <= EPSILON, 2659 "Atan2(%f,%f), expected %f, got %f", 2660 INFINITY, 1.0, SDL_PI_D / 2.0, result); 2661 2662 result = SDL_atan2(INFINITY, -1.0); 2663 SDLTest_AssertCheck(SDL_fabs(SDL_PI_D / 2.0 - result) <= EPSILON, 2664 "Atan2(%f,%f), expected %f, got %f", 2665 INFINITY, -1.0, SDL_PI_D / 2.0, result); 2666 2667 result = SDL_atan2(-INFINITY, 1.0); 2668 SDLTest_AssertCheck(SDL_fabs(-SDL_PI_D / 2.0 - result) <= EPSILON, 2669 "Atan2(%f,%f), expected %f, got %f", 2670 -INFINITY, 1.0, -SDL_PI_D / 2.0, result); 2671 2672 result = SDL_atan2(-INFINITY, -1.0); 2673 SDLTest_AssertCheck(SDL_fabs(-SDL_PI_D / 2.0 - result) <= EPSILON, 2674 "Atan2(%f,%f), expected %f, got %f", 2675 -INFINITY, -1.0, -SDL_PI_D / 2.0, result); 2676 2677 return TEST_COMPLETED; 2678} 2679 2680/** 2681 * Inputs: (+/-1.0, +/-Infinity). 2682 * Expected: 2683 * - (+/-1.0, +inf) -> +/-0.0 2684 * - (+/-1.0, -inf) -> +/-Pi. 2685 */ 2686static int SDLCALL 2687atan2_xInfCases(void *args) 2688{ 2689 double result; 2690 2691 result = SDL_atan2(1.0, INFINITY); 2692 SDLTest_AssertCheck(0.0 == result, 2693 "Atan2(%f,%f), expected %f, got %f", 2694 1.0, INFINITY, 0.0, result); 2695 2696 result = SDL_atan2(-1.0, INFINITY); 2697 SDLTest_AssertCheck(-0.0 == result, 2698 "Atan2(%f,%f), expected %f, got %f", 2699 -1.0, INFINITY, -0.0, result); 2700 2701 result = SDL_atan2(1.0, -INFINITY); 2702 SDLTest_AssertCheck(SDL_fabs(SDL_PI_D - result) <= EPSILON, 2703 "Atan2(%f,%f), expected %f, got %f", 2704 1.0, -INFINITY, SDL_PI_D, result); 2705 2706 result = SDL_atan2(-1.0, -INFINITY); 2707 SDLTest_AssertCheck(SDL_fabs(-SDL_PI_D - result) <= EPSILON, 2708 "Atan2(%f,%f), expected %f, got %f", 2709 -1.0, -INFINITY, -SDL_PI_D, result); 2710 2711 return TEST_COMPLETED; 2712} 2713 2714/* Miscelanious cases */ 2715 2716/** 2717 * Inputs: NAN as either or both of the arguments. 2718 * Expected: NAN is returned. 2719 */ 2720static int SDLCALL 2721atan2_nanCases(void *args) 2722{ 2723 double result; 2724 2725 result = SDL_atan2(NAN, NAN); 2726 SDLTest_AssertCheck(ISNAN(result), 2727 "Atan2(%f,%f), expected %f, got %f", 2728 NAN, NAN, NAN, result); 2729 2730 result = SDL_atan2(NAN, 1.0); 2731 SDLTest_AssertCheck(ISNAN(result), 2732 "Atan2(%f,%f), expected %f, got %f", 2733 NAN, 1.0, NAN, result); 2734 2735 result = SDL_atan2(1.0, NAN); 2736 SDLTest_AssertCheck(ISNAN(result), 2737 "Atan2(%f,%f), expected %f, got %f", 2738 1.0, NAN, NAN, result); 2739 2740 return TEST_COMPLETED; 2741} 2742 2743/** 2744 * Inputs: (y, x) with x and y positive. 2745 * Expected: Angle in the top right quadrant. 2746 */ 2747static int SDLCALL 2748atan2_topRightQuadrantTest(void *args) 2749{ 2750 const dd_to_d top_right_cases[] = { 2751 { 1.0, 1.0, SDL_PI_D / 4.0 }, 2752 { SQRT3, 3.0, SDL_PI_D / 6.0 }, 2753 { SQRT3, 1.0, SDL_PI_D / 3.0 } 2754 }; 2755 return helper_ddtod_inexact("SDL_atan2", SDL_atan2, top_right_cases, SDL_arraysize(top_right_cases)); 2756} 2757 2758/** 2759 * Inputs: (y, x) with x negative and y positive. 2760 * Expected: Angle in the top left quadrant. 2761 */ 2762static int SDLCALL 2763atan2_topLeftQuadrantTest(void *args) 2764{ 2765 const dd_to_d top_left_cases[] = { 2766 { 1.0, -1.0, 3.0 * SDL_PI_D / 4.0 }, 2767 { SQRT3, -3.0, 5.0 * SDL_PI_D / 6.0 }, 2768 { SQRT3, -1.0, 2.0 * SDL_PI_D / 3.0 } 2769 }; 2770 return helper_ddtod_inexact("SDL_atan2", SDL_atan2, top_left_cases, SDL_arraysize(top_left_cases)); 2771} 2772 2773/** 2774 * Inputs: (y, x) with x positive and y negative. 2775 * Expected: Angle in the bottom right quadrant. 2776 */ 2777static int SDLCALL 2778atan2_bottomRightQuadrantTest(void *args) 2779{ 2780 const dd_to_d bottom_right_cases[] = { 2781 { -1.0, 1.0, -SDL_PI_D / 4 }, 2782 { -SQRT3, 3.0, -SDL_PI_D / 6.0 }, 2783 { -SQRT3, 1.0, -SDL_PI_D / 3.0 } 2784 }; 2785 return helper_ddtod_inexact("SDL_atan2", SDL_atan2, bottom_right_cases, SDL_arraysize(bottom_right_cases)); 2786} 2787 2788/** 2789 * Inputs: (y, x) with x and y negative. 2790 * Expected: Angle in the bottom left quadrant. 2791 */ 2792static int SDLCALL 2793atan2_bottomLeftQuadrantTest(void *args) 2794{ 2795 const dd_to_d bottom_left_cases[] = { 2796 { -1.0, -1.0, -3.0 * SDL_PI_D / 4.0 }, 2797 { -SQRT3, -3.0, -5.0 * SDL_PI_D / 6.0 }, 2798 { -SQRT3, -1.0, -4.0 * SDL_PI_D / 6.0 } 2799 }; 2800 return helper_ddtod_inexact("SDL_atan2", SDL_atan2, bottom_left_cases, SDL_arraysize(bottom_left_cases)); 2801} 2802 2803/* ================= Test References ================== */ 2804 2805/* SDL_floor test cases */ 2806 2807static const SDLTest_TestCaseReference floorTestInf = { 2808 floor_infCases, "floor_infCases", 2809 "Checks positive and negative infinity", TEST_ENABLED 2810}; 2811static const SDLTest_TestCaseReference floorTestZero = { 2812 floor_zeroCases, "floor_zeroCases", 2813 "Checks positive and negative zero", TEST_ENABLED 2814}; 2815static const SDLTest_TestCaseReference floorTestNan = { 2816 floor_nanCase, "floor_nanCase", 2817 "Checks NAN", TEST_ENABLED 2818}; 2819static const SDLTest_TestCaseReference floorTestRound = { 2820 floor_roundNumbersCases, "floor_roundNumberCases", 2821 "Checks a set of integral values", TEST_ENABLED 2822}; 2823static const SDLTest_TestCaseReference floorTestFraction = { 2824 floor_fractionCases, "floor_fractionCases", 2825 "Checks a set of fractions", TEST_ENABLED 2826}; 2827static const SDLTest_TestCaseReference floorTestRange = { 2828 floor_rangeTest, "floor_rangeTest", 2829 "Checks a range of positive integer", TEST_ENABLED 2830}; 2831 2832/* SDL_ceil test cases */ 2833 2834static const SDLTest_TestCaseReference ceilTestInf = { 2835 ceil_infCases, "ceil_infCases", 2836 "Checks positive and negative infinity", TEST_ENABLED 2837}; 2838static const SDLTest_TestCaseReference ceilTestZero = { 2839 ceil_zeroCases, "ceil_zeroCases", 2840 "Checks positive and negative zero", TEST_ENABLED 2841}; 2842static const SDLTest_TestCaseReference ceilTestNan = { 2843 ceil_nanCase, "ceil_nanCase", 2844 "Checks NAN", TEST_ENABLED 2845}; 2846static const SDLTest_TestCaseReference ceilTestRound = { 2847 ceil_roundNumbersCases, "ceil_roundNumberCases", 2848 "Checks a set of integral values", TEST_ENABLED 2849}; 2850static const SDLTest_TestCaseReference ceilTestFraction = { 2851 ceil_fractionCases, "ceil_fractionCases", 2852 "Checks a set of fractions", TEST_ENABLED 2853}; 2854static const SDLTest_TestCaseReference ceilTestRange = { 2855 ceil_rangeTest, "ceil_rangeTest", 2856 "Checks a range of positive integer", TEST_ENABLED 2857}; 2858 2859/* SDL_trunc test cases */ 2860 2861static const SDLTest_TestCaseReference truncTestInf = { 2862 trunc_infCases, "trunc_infCases", 2863 "Checks positive and negative infinity", TEST_ENABLED 2864}; 2865static const SDLTest_TestCaseReference truncTestZero = { 2866 trunc_zeroCases, "trunc_zeroCases", 2867 "Checks positive and negative zero", TEST_ENABLED 2868}; 2869static const SDLTest_TestCaseReference truncTestNan = { 2870 trunc_nanCase, "trunc_nanCase", 2871 "Checks NAN", TEST_ENABLED 2872}; 2873static const SDLTest_TestCaseReference truncTestRound = { 2874 trunc_roundNumbersCases, "trunc_roundNumberCases", 2875 "Checks a set of integral values", TEST_ENABLED 2876}; 2877static const SDLTest_TestCaseReference truncTestFraction = { 2878 trunc_fractionCases, "trunc_fractionCases", 2879 "Checks a set of fractions", TEST_ENABLED 2880}; 2881static const SDLTest_TestCaseReference truncTestRange = { 2882 trunc_rangeTest, "trunc_rangeTest", 2883 "Checks a range of positive integer", TEST_ENABLED 2884}; 2885 2886/* SDL_round test cases */ 2887 2888static const SDLTest_TestCaseReference roundTestInf = { 2889 round_infCases, "round_infCases", 2890 "Checks positive and negative infinity", TEST_ENABLED 2891}; 2892static const SDLTest_TestCaseReference roundTestZero = { 2893 round_zeroCases, "round_zeroCases", 2894 "Checks positive and negative zero", TEST_ENABLED 2895}; 2896static const SDLTest_TestCaseReference roundTestNan = { 2897 round_nanCase, "round_nanCase", 2898 "Checks NAN", TEST_ENABLED 2899}; 2900static const SDLTest_TestCaseReference roundTestRound = { 2901 round_roundNumbersCases, "round_roundNumberCases", 2902 "Checks a set of integral values", TEST_ENABLED 2903}; 2904static const SDLTest_TestCaseReference roundTestFraction = { 2905 round_fractionCases, "round_fractionCases", 2906 "Checks a set of fractions", TEST_ENABLED 2907}; 2908static const SDLTest_TestCaseReference roundTestRange = { 2909 round_rangeTest, "round_rangeTest", 2910 "Checks a range of positive integer", TEST_ENABLED 2911}; 2912 2913/* SDL_fabs test cases */ 2914 2915static const SDLTest_TestCaseReference fabsTestInf = { 2916 fabs_infCases, "fabs_infCases", 2917 "Checks positive and negative infinity", TEST_ENABLED 2918}; 2919static const SDLTest_TestCaseReference fabsTestZero = { 2920 fabs_zeroCases, "fabs_zeroCases", 2921 "Checks positive and negative zero", TEST_ENABLED 2922}; 2923static const SDLTest_TestCaseReference fabsTestNan = { 2924 fabs_nanCase, "fabs_nanCase", 2925 "Checks NAN", TEST_ENABLED 2926}; 2927static const SDLTest_TestCaseReference fabsTestRange = { 2928 fabs_rangeTest, "fabs_rangeTest", 2929 "Checks a range of positive integer", TEST_ENABLED 2930}; 2931 2932/* SDL_copysign test cases */ 2933 2934static const SDLTest_TestCaseReference copysignTestInf = { 2935 copysign_infCases, "copysign_infCases", 2936 "Checks positive and negative infinity", TEST_ENABLED 2937}; 2938static const SDLTest_TestCaseReference copysignTestZero = { 2939 copysign_zeroCases, "copysign_zeroCases", 2940 "Checks positive and negative zero", TEST_ENABLED 2941}; 2942static const SDLTest_TestCaseReference copysignTestNan = { 2943 copysign_nanCases, "copysign_nanCases", 2944 "Checks NANs", TEST_ENABLED 2945}; 2946static const SDLTest_TestCaseReference copysignTestRange = { 2947 copysign_rangeTest, "copysign_rangeTest", 2948 "Checks a range of positive integer", TEST_ENABLED 2949}; 2950 2951/* SDL_fmod test cases */ 2952 2953static const SDLTest_TestCaseReference fmodTestDivOfInf = { 2954 fmod_divOfInfCases, "fmod_divOfInfCases", 2955 "Checks division of positive and negative infinity", TEST_ENABLED 2956}; 2957static const SDLTest_TestCaseReference fmodTestDivByInf = { 2958 fmod_divByInfCases, "fmod_divByInfCases", 2959 "Checks division by positive and negative infinity", TEST_ENABLED 2960}; 2961static const SDLTest_TestCaseReference fmodTestDivOfZero = { 2962 fmod_divOfZeroCases, "fmod_divOfZeroCases", 2963 "Checks division of positive and negative zero", TEST_ENABLED 2964}; 2965static const SDLTest_TestCaseReference fmodTestDivByZero = { 2966 fmod_divByZeroCases, "fmod_divByZeroCases", 2967 "Checks division by positive and negative zero", TEST_ENABLED 2968}; 2969static const SDLTest_TestCaseReference fmodTestNan = { 2970 fmod_nanCases, "fmod_nanCases", 2971 "Checks NANs", TEST_ENABLED 2972}; 2973static const SDLTest_TestCaseReference fmodTestRegular = { 2974 fmod_regularCases, "fmod_regularCases", 2975 "Checks a set of regular values", TEST_ENABLED 2976}; 2977static const SDLTest_TestCaseReference fmodTestRange = { 2978 fmod_rangeTest, "fmod_rangeTest", 2979 "Checks a range of positive integer", TEST_ENABLED 2980}; 2981 2982/* SDL_exp test cases */ 2983 2984static const SDLTest_TestCaseReference expTestInf = { 2985 exp_infCases, "exp_infCases", 2986 "Checks positive and negative infinity", TEST_ENABLED 2987}; 2988static const SDLTest_TestCaseReference expTestZero = { 2989 exp_zeroCases, "exp_zeroCases", 2990 "Checks for positive and negative zero", TEST_ENABLED 2991}; 2992static const SDLTest_TestCaseReference expTestOverflow = { 2993 exp_overflowCase, "exp_overflowCase", 2994 "Checks for overflow", TEST_ENABLED 2995}; 2996static const SDLTest_TestCaseReference expTestBase = { 2997 exp_baseCase, "exp_baseCase", 2998 "Checks the base case", TEST_ENABLED 2999}; 3000static const SDLTest_TestCaseReference expTestRegular = { 3001 exp_regularCases, "exp_regularCases", 3002 "Checks a set of regular values", TEST_ENABLED 3003}; 3004 3005/* SDL_log test cases */ 3006 3007static const SDLTest_TestCaseReference logTestLimit = { 3008 log_limitCases, "log_limitCases", 3009 "Checks the domain limits", TEST_ENABLED 3010}; 3011static const SDLTest_TestCaseReference logTestNan = { 3012 log_nanCases, "log_nanCases", 3013 "Checks NAN and negative values", TEST_ENABLED 3014}; 3015static const SDLTest_TestCaseReference logTestBase = { 3016 log_baseCases, "log_baseCases", 3017 "Checks the base cases", TEST_ENABLED 3018}; 3019static const SDLTest_TestCaseReference logTestRegular = { 3020 log_regularCases, "log_regularCases", 3021 "Checks a set of regular values", TEST_ENABLED 3022}; 3023 3024/* SDL_log10 test cases */ 3025 3026static const SDLTest_TestCaseReference log10TestLimit = { 3027 log10_limitCases, "log10_limitCases", 3028 "Checks the domain limits", TEST_ENABLED 3029}; 3030static const SDLTest_TestCaseReference log10TestNan = { 3031 log10_nanCases, "log10_nanCases", 3032 "Checks NAN and negative values", TEST_ENABLED 3033}; 3034static const SDLTest_TestCaseReference log10TestBase = { 3035 log10_baseCases, "log10_baseCases", 3036 "Checks the base cases", TEST_ENABLED 3037}; 3038static const SDLTest_TestCaseReference log10TestRegular = { 3039 log10_regularCases, "log10_regularCases", 3040 "Checks a set of regular values", TEST_ENABLED 3041}; 3042 3043/* SDL_modf test cases */ 3044 3045static const SDLTest_TestCaseReference modfTestBase = { 3046 modf_baseCases, "modf_baseCases", 3047 "Checks the base cases", TEST_ENABLED 3048}; 3049 3050/* SDL_pow test cases */ 3051 3052static const SDLTest_TestCaseReference powTestExpInf1 = { 3053 pow_baseNOneExpInfCases, "pow_baseNOneExpInfCases", 3054 "Checks for SDL_pow(-1, +/-inf)", TEST_ENABLED 3055}; 3056static const SDLTest_TestCaseReference powTestExpInf2 = { 3057 pow_baseZeroExpNInfCases, "pow_baseZeroExpNInfCases", 3058 "Checks for SDL_pow(+/-0, -inf)", TEST_ENABLED 3059}; 3060static const SDLTest_TestCaseReference powTestExpInf3 = { 3061 pow_expInfCases, "pow_expInfCases", 3062 "Checks for SDL_pow(x, +/-inf)", TEST_ENABLED 3063}; 3064static const SDLTest_TestCaseReference powTestBaseInf1 = { 3065 pow_basePInfCases, "pow_basePInfCases", 3066 "Checks for SDL_pow(inf, x)", TEST_ENABLED 3067}; 3068static const SDLTest_TestCaseReference powTestBaseInf2 = { 3069 pow_baseNInfCases, "pow_baseNInfCases", 3070 "Checks for SDL_pow(-inf, x)", TEST_ENABLED 3071}; 3072static const SDLTest_TestCaseReference powTestNan1 = { 3073 pow_badOperationCase, "pow_badOperationCase", 3074 "Checks for negative finite base and non-integer finite exponent", TEST_ENABLED 3075}; 3076static const SDLTest_TestCaseReference powTestNan2 = { 3077 pow_base1ExpNanCase, "pow_base1ExpNanCase", 3078 "Checks for SDL_pow(1.0, NAN)", TEST_ENABLED 3079}; 3080static const SDLTest_TestCaseReference powTestNan3 = { 3081 pow_baseNanExp0Cases, "pow_baseNanExp0Cases", 3082 "Checks for SDL_pow(NAN, +/-0)", TEST_ENABLED 3083}; 3084static const SDLTest_TestCaseReference powTestNan4 = { 3085 pow_nanArgsCases, "pow_nanArgsCases", 3086 "Checks for SDL_pow(x, y) with either x or y being NAN", TEST_ENABLED 3087}; 3088static const SDLTest_TestCaseReference powTestZero1 = { 3089 pow_baseNZeroExpOddCases, "pow_baseNZeroExpOddCases", 3090 "Checks for SDL_pow(-0.0, y), with y an odd integer.", TEST_ENABLED 3091}; 3092static const SDLTest_TestCaseReference powTestZero2 = { 3093 pow_basePZeroExpOddCases, "pow_basePZeroExpOddCases", 3094 "Checks for SDL_pow(0.0, y), with y an odd integer.", TEST_ENABLED 3095}; 3096static const SDLTest_TestCaseReference powTestZero3 = { 3097 pow_baseNZeroCases, "pow_baseNZeroCases", 3098 "Checks for SDL_pow(-0.0, y), with y finite and even or non-integer number", TEST_ENABLED 3099}; 3100static const SDLTest_TestCaseReference powTestZero4 = { 3101 pow_basePZeroCases, "pow_basePZeroCases", 3102 "Checks for SDL_pow(0.0, y), with y finite and even or non-integer number", TEST_ENABLED 3103}; 3104static const SDLTest_TestCaseReference powTestRegular = { 3105 pow_regularCases, "pow_regularCases", 3106 "Checks a set of regular values", TEST_ENABLED 3107}; 3108static const SDLTest_TestCaseReference powTestPowOf2 = { 3109 pow_powerOfTwo, "pow_powerOfTwo", 3110 "Checks the powers of two from 1 to 8", TEST_ENABLED 3111}; 3112static const SDLTest_TestCaseReference powTestRange = { 3113 pow_rangeTest, "pow_rangeTest", 3114 "Checks a range of positive integer to the power of 0", TEST_ENABLED 3115}; 3116 3117/* SDL_sqrt test cases */ 3118 3119static const SDLTest_TestCaseReference sqrtTestInf = { 3120 sqrt_infCase, "sqrt_infCase", 3121 "Checks positive infinity", TEST_ENABLED 3122}; 3123static const SDLTest_TestCaseReference sqrtTestNan = { 3124 sqrt_nanCase, "sqrt_nanCase", 3125 "Checks NAN", TEST_ENABLED 3126}; 3127static const SDLTest_TestCaseReference sqrtTestDomain = { 3128 sqrt_outOfDomainCases, "sqrt_outOfDomainCases", 3129 "Checks for values out of the domain", TEST_ENABLED 3130}; 3131static const SDLTest_TestCaseReference sqrtTestBase = { 3132 sqrt_baseCases, "sqrt_baseCases", 3133 "Checks the base cases", TEST_ENABLED 3134}; 3135static const SDLTest_TestCaseReference sqrtTestRegular = { 3136 sqrt_regularCases, "sqrt_regularCases", 3137 "Checks a set of regular values", TEST_ENABLED 3138}; 3139 3140/* SDL_scalbn test cases */ 3141 3142static const SDLTest_TestCaseReference scalbnTestInf = { 3143 scalbn_infCases, "scalbn_infCases", 3144 "Checks positive and negative infinity arg", TEST_ENABLED 3145}; 3146static const SDLTest_TestCaseReference scalbnTestBaseZero = { 3147 scalbn_baseZeroCases, "scalbn_baseZeroCases", 3148 "Checks for positive and negative zero arg", TEST_ENABLED 3149}; 3150static const SDLTest_TestCaseReference scalbnTestExpZero = { 3151 scalbn_expZeroCase, "scalbn_expZeroCase", 3152 "Checks for zero exp", TEST_ENABLED 3153}; 3154static const SDLTest_TestCaseReference scalbnTestNan = { 3155 scalbn_nanCase, "scalbn_nanCase", 3156 "Checks NAN", TEST_ENABLED 3157}; 3158static const SDLTest_TestCaseReference scalbnTestRegular = { 3159 scalbn_regularCases, "scalbn_regularCases", 3160 "Checks a set of regular cases", TEST_ENABLED 3161}; 3162 3163/* SDL_cos test cases */ 3164 3165static const SDLTest_TestCaseReference cosTestInf = { 3166 cos_infCases, "cos_infCases", 3167 "Checks for positive and negative infinity", TEST_ENABLED 3168}; 3169static const SDLTest_TestCaseReference cosTestNan = { 3170 cos_nanCase, "cos_nanCase", 3171 "Checks NAN", TEST_ENABLED 3172}; 3173static const SDLTest_TestCaseReference cosTestRegular = { 3174 cos_regularCases, "cos_regularCases", 3175 "Checks a set of regular cases", TEST_ENABLED 3176}; 3177static const SDLTest_TestCaseReference cosTestPrecision = { 3178 cos_precisionTest, "cos_precisionTest", 3179 "Checks cosine precision", TEST_ENABLED 3180}; 3181static const SDLTest_TestCaseReference cosTestRange = { 3182 cos_rangeTest, "cos_rangeTest", 3183 "Checks a range of positive integer", TEST_ENABLED 3184}; 3185 3186/* SDL_sin test cases */ 3187 3188static const SDLTest_TestCaseReference sinTestInf = { 3189 sin_infCases, "sin_infCases", 3190 "Checks for positive and negative infinity", TEST_ENABLED 3191}; 3192static const SDLTest_TestCaseReference sinTestNan = { 3193 sin_nanCase, "sin_nanCase", 3194 "Checks NAN", TEST_ENABLED 3195}; 3196static const SDLTest_TestCaseReference sinTestRegular = { 3197 sin_regularCases, "sin_regularCases", 3198 "Checks a set of regular cases", TEST_ENABLED 3199}; 3200static const SDLTest_TestCaseReference sinTestPrecision = { 3201 sin_precisionTest, "sin_precisionTest", 3202 "Checks sine precision", TEST_ENABLED 3203}; 3204static const SDLTest_TestCaseReference sinTestRange = { 3205 sin_rangeTest, "sin_rangeTest", 3206 "Checks a range of positive integer", TEST_ENABLED 3207}; 3208 3209/* SDL_tan test cases */ 3210 3211static const SDLTest_TestCaseReference tanTestInf = { 3212 tan_infCases, "tan_infCases", 3213 "Checks for positive and negative infinity", TEST_ENABLED 3214}; 3215static const SDLTest_TestCaseReference tanTestNan = { 3216 tan_nanCase, "tan_nanCase", 3217 "Checks NAN", TEST_ENABLED 3218}; 3219static const SDLTest_TestCaseReference tanTestZero = { 3220 tan_zeroCases, "tan_zeroCases", 3221 "Checks a set of regular cases", TEST_ENABLED 3222}; 3223static const SDLTest_TestCaseReference tanTestPrecision = { 3224 tan_precisionTest, "tan_precisionTest", 3225 "Checks tangent precision", TEST_ENABLED 3226}; 3227 3228/* SDL_acos test cases */ 3229 3230static const SDLTest_TestCaseReference acosTestLimit = { 3231 acos_limitCases, "acos_limitCases", 3232 "Checks the edge of the domain (+/-1)", TEST_ENABLED 3233}; 3234static const SDLTest_TestCaseReference acosTestOutOfDomain = { 3235 acos_outOfDomainCases, "acos_outOfDomainCases", 3236 "Checks values outside the domain", TEST_ENABLED 3237}; 3238static const SDLTest_TestCaseReference acosTestNan = { 3239 acos_nanCase, "acos_nanCase", 3240 "Checks NAN", TEST_ENABLED 3241}; 3242static const SDLTest_TestCaseReference acosTestPrecision = { 3243 acos_precisionTest, "acos_precisionTest", 3244 "Checks acos precision", TEST_ENABLED 3245}; 3246 3247/* SDL_asin test cases */ 3248 3249static const SDLTest_TestCaseReference asinTestLimit = { 3250 asin_limitCases, "asin_limitCases", 3251 "Checks the edge of the domain (+/-1)", TEST_ENABLED 3252}; 3253static const SDLTest_TestCaseReference asinTestOutOfDomain = { 3254 asin_outOfDomainCases, "asin_outOfDomainCases", 3255 "Checks values outside the domain", TEST_ENABLED 3256}; 3257static const SDLTest_TestCaseReference asinTestNan = { 3258 asin_nanCase, "asin_nanCase", 3259 "Checks NAN", TEST_ENABLED 3260}; 3261static const SDLTest_TestCaseReference asinTestPrecision = { 3262 asin_precisionTest, "asin_precisionTest", 3263 "Checks asin precision", TEST_ENABLED 3264}; 3265 3266/* SDL_atan test cases */ 3267 3268static const SDLTest_TestCaseReference atanTestLimit = { 3269 atan_limitCases, "atan_limitCases", 3270 "Checks the edge of the domain (+/-Infinity)", TEST_ENABLED 3271}; 3272static const SDLTest_TestCaseReference atanTestZero = { 3273 atan_zeroCases, "atan_zeroCases", 3274 "Checks for positive and negative zero", TEST_ENABLED 3275}; 3276static const SDLTest_TestCaseReference atanTestNan = { 3277 atan_nanCase, "atan_nanCase", 3278 "Checks NAN", TEST_ENABLED 3279}; 3280static const SDLTest_TestCaseReference atanTestPrecision = { 3281 atan_precisionTest, "atan_precisionTest", 3282 "Checks atan precision", TEST_ENABLED 3283}; 3284 3285/* SDL_atan2 test cases */ 3286 3287static const SDLTest_TestCaseReference atan2TestZero1 = { 3288 atan2_bothZeroCases, "atan2_bothZeroCases", 3289 "Checks for both arguments being zero", TEST_ENABLED 3290}; 3291static const SDLTest_TestCaseReference atan2TestZero2 = { 3292 atan2_yZeroCases, "atan2_yZeroCases", 3293 "Checks for y=0", TEST_ENABLED 3294}; 3295static const SDLTest_TestCaseReference atan2TestZero3 = { 3296 atan2_xZeroCases, "atan2_xZeroCases", 3297 "Checks for x=0", TEST_ENABLED 3298}; 3299static const SDLTest_TestCaseReference atan2TestInf1 = { 3300 atan2_bothInfCases, "atan2_bothInfCases", 3301 "Checks for both arguments being infinity", TEST_ENABLED 3302}; 3303static const SDLTest_TestCaseReference atan2TestInf2 = { 3304 atan2_yInfCases, "atan2_yInfCases", 3305 "Checks for y=0", TEST_ENABLED 3306}; 3307static const SDLTest_TestCaseReference atan2TestInf3 = { 3308 atan2_xInfCases, "atan2_xInfCases", 3309 "Checks for x=0", TEST_ENABLED 3310}; 3311static const SDLTest_TestCaseReference atan2TestNan = { 3312 atan2_nanCases, "atan2_nanCases", 3313 "Checks NANs", TEST_ENABLED 3314}; 3315static const SDLTest_TestCaseReference atan2TestQuadrantTopRight = { 3316 atan2_topRightQuadrantTest, "atan2_topRightQuadrantTest", 3317 "Checks values in the top right quadrant", TEST_ENABLED 3318}; 3319static const SDLTest_TestCaseReference atan2TestQuadrantTopLeft = { 3320 atan2_topLeftQuadrantTest, "atan2_topLeftQuadrantTest", 3321 "Checks values in the top left quadrant", TEST_ENABLED 3322}; 3323static const SDLTest_TestCaseReference atan2TestQuadrantBottomRight = { 3324 atan2_bottomRightQuadrantTest, "atan2_bottomRightQuadrantTest", 3325 "Checks values in the bottom right quadrant", TEST_ENABLED 3326}; 3327static const SDLTest_TestCaseReference atan2TestQuadrantBottomLeft = { 3328 atan2_bottomLeftQuadrantTest, "atan2_bottomLeftQuadrantTest", 3329 "Checks values in the bottom left quadrant", TEST_ENABLED 3330}; 3331 3332static const SDLTest_TestCaseReference *mathTests[] = { 3333 &floorTestInf, &floorTestZero, &floorTestNan, 3334 &floorTestRound, &floorTestFraction, &floorTestRange, 3335 3336 &ceilTestInf, &ceilTestZero, &ceilTestNan, 3337 &ceilTestRound, &ceilTestFraction, &ceilTestRange, 3338 3339 &truncTestInf, &truncTestZero, &truncTestNan, 3340 &truncTestRound, &truncTestFraction, &truncTestRange, 3341 3342 &roundTestInf, &roundTestZero, &roundTestNan, 3343 &roundTestRound, &roundTestFraction, &roundTestRange, 3344 3345 &fabsTestInf, &fabsTestZero, &fabsTestNan, &fabsTestRange, 3346 3347 &copysignTestInf, &copysignTestZero, &copysignTestNan, &copysignTestRange, 3348 3349 &fmodTestDivOfInf, &fmodTestDivByInf, &fmodTestDivOfZero, &fmodTestDivByZero, 3350 &fmodTestNan, &fmodTestRegular, &fmodTestRange, 3351 3352 &expTestInf, &expTestZero, &expTestOverflow, 3353 &expTestBase, &expTestRegular, 3354 3355 &logTestLimit, &logTestNan, 3356 &logTestBase, &logTestRegular, 3357 3358 &log10TestLimit, &log10TestNan, 3359 &log10TestBase, &log10TestRegular, 3360 3361 &modfTestBase, 3362 3363 &powTestExpInf1, &powTestExpInf2, &powTestExpInf3, 3364 &powTestBaseInf1, &powTestBaseInf2, 3365 &powTestNan1, &powTestNan2, &powTestNan3, &powTestNan4, 3366 &powTestZero1, &powTestZero2, &powTestZero3, &powTestZero4, 3367 &powTestRegular, &powTestPowOf2, &powTestRange, 3368 3369 &sqrtTestInf, &sqrtTestNan, &sqrtTestDomain, 3370 &sqrtTestBase, &sqrtTestRegular, 3371 3372 &scalbnTestInf, &scalbnTestBaseZero, &scalbnTestExpZero, 3373 &scalbnTestNan, &scalbnTestRegular, 3374 3375 &cosTestInf, &cosTestNan, &cosTestRegular, 3376 &cosTestPrecision, &cosTestRange, 3377 3378 &sinTestInf, &sinTestNan, &sinTestRegular, 3379 &sinTestPrecision, &sinTestRange, 3380 3381 &tanTestInf, &tanTestNan, &tanTestZero, &tanTestPrecision, 3382 3383 &acosTestLimit, &acosTestOutOfDomain, &acosTestNan, &acosTestPrecision, 3384 3385 &asinTestLimit, &asinTestOutOfDomain, &asinTestNan, &asinTestPrecision, 3386 3387 &atanTestLimit, &atanTestZero, &atanTestNan, &atanTestPrecision, 3388 3389 &atan2TestZero1, &atan2TestZero2, &atan2TestZero3, 3390 &atan2TestInf1, &atan2TestInf2, &atan2TestInf3, 3391 &atan2TestNan, &atan2TestQuadrantTopRight, &atan2TestQuadrantTopLeft, 3392 &atan2TestQuadrantBottomRight, &atan2TestQuadrantBottomLeft, 3393 3394 NULL 3395}; 3396 3397SDLTest_TestSuiteReference mathTestSuite = { 3398 "Math", 3399 NULL, 3400 mathTests, 3401 NULL 3402}; 3403
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