diff --git a/test/testautomation_math.c b/test/testautomation_math.c index 74ea7acef..1e34128c7 100644 --- a/test/testautomation_math.c +++ b/test/testautomation_math.c @@ -22,6 +22,9 @@ /* Margin of error for imprecise tests */ #define EPSILON 1.0E-10 +/* Square root of 3 */ +#define SQRT3 1.7320508075688771931766041234368458390235900878906250 + /* ================= Test Structs ================== */ /** @@ -109,7 +112,8 @@ helper_dtod_inexact(const char *func_name, d_to_d_func func, } /** - * \brief Runs all the cases on a given function with a signature (double, double) -> double + * \brief Runs all the cases on a given function with a signature + * (double, double) -> double. The result is expected to be exact. * * \param func_name, the name of the tested function. * \param func, the function to call. @@ -133,6 +137,35 @@ helper_ddtod(const char *func_name, dd_to_d_func func, return TEST_COMPLETED; } +/** + * \brief Runs all the cases on a given function with a signature + * (double, double) -> double. Checks if the result between expected +/- EPSILON. + * + * \param func_name, the name of the tested function. + * \param func, the function to call. + * \param cases, an array of all the cases. + * \param cases_size, the size of the cases array. + */ +static int +helper_ddtod_inexact(const char *func_name, dd_to_d_func func, + const dd_to_d *cases, const size_t cases_size) +{ + Uint32 i; + for (i = 0; i < cases_size; i++) { + const double result = func(cases[i].x_input, cases[i].y_input); + SDLTest_AssertCheck(result >= cases[i].expected - EPSILON && + result <= cases[i].expected + EPSILON, + "%s(%f,%f), expected [%f,%f], got %f", + func_name, + cases[i].x_input, cases[i].y_input, + cases[i].expected - EPSILON, + cases[i].expected + EPSILON, + result); + } + + return TEST_COMPLETED; +} + /** * \brief Runs a range of values on a given function with a signature double -> double * @@ -2338,6 +2371,234 @@ atan_precisionTest(void *args) return helper_dtod_inexact("Atan", SDL_atan, precision_cases, SDL_arraysize(precision_cases)); } +/* SDL_atan2 tests functions */ + +/* Zero cases */ + +/** + * \brief Checks for both argument being 0. + */ +static int +atan2_bothZeroCases(void *args) +{ + const dd_to_d cases[] = { + { 0.0, 0.0, 0.0 }, + { -0.0, 0.0, -0.0 }, + { 0.0, -0.0, M_PI }, + { -0.0, -0.0, -M_PI }, + }; + return helper_ddtod("SDL_atan2", SDL_atan2, cases, SDL_arraysize(cases)); +} + +/** + * \brief Checks for the cases with Y=+/-0. + */ +static int +atan2_yZeroCases(void *args) +{ + const dd_to_d cases[] = { + { 0.0, 1.0, 0.0 }, + { 0.0, -1.0, M_PI }, + { -0.0, 1.0, -0.0 }, + { -0.0, -1.0, -M_PI } + }; + return helper_ddtod("SDL_atan2", SDL_atan2, cases, SDL_arraysize(cases)); +} + +/** + * \brief Checks for the cases with X=+/-0. + */ +static int +atan2_xZeroCases(void *args) +{ + const dd_to_d cases[] = { + { 1.0, 0.0, M_PI / 2.0 }, + { -1.0, 0.0, -M_PI / 2.0 }, + { 1.0, -0.0, M_PI / 2.0 }, + { -1.0, -0.0, -M_PI / 2.0 } + }; + return helper_ddtod("SDL_atan2", SDL_atan2, cases, SDL_arraysize(cases)); +} + +/* Infinity cases */ + +/** + * \brief Checks for both argument being infinity. + */ +static int +atan2_bothInfCases(void *args) +{ + double result; + + result = SDL_atan2(INFINITY, INFINITY); + SDLTest_AssertCheck(M_PI / 4.0 == result, + "Atan2(%f,%f), expected %f, got %f", + INFINITY, INFINITY, M_PI / 4.0, result); + + result = SDL_atan2(INFINITY, -INFINITY); + SDLTest_AssertCheck(3.0 * M_PI / 4.0 == result, + "Atan2(%f,%f), expected %f, got %f", + INFINITY, -INFINITY, 3.0 * M_PI / 4.0, result); + + result = SDL_atan2(-INFINITY, INFINITY); + SDLTest_AssertCheck(-M_PI / 4.0 == result, + "Atan2(%f,%f), expected %f, got %f", + -INFINITY, INFINITY, -M_PI / 4.0, result); + + result = SDL_atan2(-INFINITY, -INFINITY); + SDLTest_AssertCheck(-3.0 * M_PI / 4.0 == result, + "Atan2(%f,%f), expected %f, got %f", + -INFINITY, -INFINITY, -3.0 * M_PI / 4.0, result); + + return TEST_COMPLETED; +} + +/** + * \brief Checks for the cases with Y=+/-inf. + */ +static int +atan2_yInfCases(void *args) +{ + double result; + + result = SDL_atan2(INFINITY, 1.0); + SDLTest_AssertCheck(M_PI / 2.0 == result, + "Atan2(%f,%f), expected %f, got %f", + INFINITY, 1.0, M_PI / 2.0, result); + + result = SDL_atan2(INFINITY, -1.0); + SDLTest_AssertCheck(M_PI / 2.0 == result, + "Atan2(%f,%f), expected %f, got %f", + INFINITY, -1.0, M_PI / 2.0, result); + + result = SDL_atan2(-INFINITY, 1.0); + SDLTest_AssertCheck(-M_PI / 2.0 == result, + "Atan2(%f,%f), expected %f, got %f", + -INFINITY, 1.0, -M_PI / 2.0, result); + + result = SDL_atan2(-INFINITY, -1.0); + SDLTest_AssertCheck(-M_PI / 2.0 == result, + "Atan2(%f,%f), expected %f, got %f", + -INFINITY, -1.0, -M_PI / 2.0, result); + + return TEST_COMPLETED; +} + +/** + * \brief Checks for the cases with X=+/-inf. + */ +static int +atan2_xInfCases(void *args) +{ + double result; + + result = SDL_atan2(1.0, INFINITY); + SDLTest_AssertCheck(0.0 == result, + "Atan2(%f,%f), expected %f, got %f", + 1.0, INFINITY, 0.0, result); + + result = SDL_atan2(-1.0, INFINITY); + SDLTest_AssertCheck(-0.0 == result, + "Atan2(%f,%f), expected %f, got %f", + -1.0, INFINITY, -0.0, result); + + result = SDL_atan2(1.0, -INFINITY); + SDLTest_AssertCheck(M_PI == result, + "Atan2(%f,%f), expected %f, got %f", + 1.0, -INFINITY, M_PI, result); + + result = SDL_atan2(-1.0, -INFINITY); + SDLTest_AssertCheck(-M_PI == result, + "Atan2(%f,%f), expected %f, got %f", + -1.0, -INFINITY, -M_PI, result); + + return TEST_COMPLETED; +} + +/* Miscelanious cases */ + +/** + * \brief Checks for the nan cases. + */ +static int +atan2_nanCases(void *args) +{ + double result; + + result = SDL_atan2(NAN, NAN); + SDLTest_AssertCheck(isnan(result), + "Atan2(%f,%f), expected %f, got %f", + NAN, NAN, NAN, result); + + result = SDL_atan2(NAN, 1.0); + SDLTest_AssertCheck(isnan(result), + "Atan2(%f,%f), expected %f, got %f", + NAN, 1.0, NAN, result); + + result = SDL_atan2(1.0, NAN); + SDLTest_AssertCheck(isnan(result), + "Atan2(%f,%f), expected %f, got %f", + 1.0, NAN, NAN, result); + + return TEST_COMPLETED; +} + +/** + * \brief Checks for the top right quadrant (X > 0, Y > 0). + */ +static int +atan2_topRightQuadrantTest(void *args) +{ + const dd_to_d top_right_cases[] = { + { 1.0, 1.0, M_PI / 4.0 }, + { SQRT3, 3.0, M_PI / 6.0 }, + { SQRT3, 1.0, M_PI / 3.0 } + }; + return helper_ddtod_inexact("SDL_atan2", SDL_atan2, top_right_cases, SDL_arraysize(top_right_cases)); +} + +/** + * \brief Checks for the top left quadrant (X < 0, Y > 0). + */ +static int +atan2_topLeftQuadrantTest(void *args) +{ + const dd_to_d top_left_cases[] = { + { 1.0, -1.0, 3.0 * M_PI / 4.0 }, + { SQRT3, -3.0, 5.0 * M_PI / 6.0 }, + { SQRT3, -1.0, 2.0 * M_PI / 3.0 } + }; + return helper_ddtod_inexact("SDL_atan2", SDL_atan2, top_left_cases, SDL_arraysize(top_left_cases)); +} + +/** + * \brief Checks for the bottom right quadrant (X > 0, Y < 0). + */ +static int +atan2_bottomRightQuadrantTest(void *args) +{ + const dd_to_d bottom_right_cases[] = { + { -1.0, 1.0, -M_PI / 4 }, + { -SQRT3, 3.0, -M_PI / 6.0 }, + { -SQRT3, 1.0, -M_PI / 3.0 } + }; + return helper_ddtod_inexact("SDL_atan2", SDL_atan2, bottom_right_cases, SDL_arraysize(bottom_right_cases)); +} + +/** + * \brief Checks for the bottom left quadrant (X < 0, Y < 0). + */ +static int +atan2_bottomLeftQuadrantTest(void *args) +{ + const dd_to_d bottom_left_cases[] = { + { -1.0, -1.0, -3.0 * M_PI / 4.0 }, + { -SQRT3, -3.0, -5.0 * M_PI / 6.0 }, + { -SQRT3, -1.0, -4.0 * M_PI / 6.0 } + }; + return helper_ddtod_inexact("SDL_atan2", SDL_atan2, bottom_left_cases, SDL_arraysize(bottom_left_cases)); +} + /* ================= Test References ================== */ /* SDL_floor test cases */ @@ -2813,6 +3074,53 @@ static const SDLTest_TestCaseReference atanTestPrecision = { "Check atan precision to the tenth decimal", TEST_ENABLED }; +/* SDL_atan2 test cases */ + +static const SDLTest_TestCaseReference atan2TestZero1 = { + (SDLTest_TestCaseFp) atan2_bothZeroCases, "atan2_bothZeroCases", + "Check for both arguments being zero", TEST_ENABLED +}; +static const SDLTest_TestCaseReference atan2TestZero2 = { + (SDLTest_TestCaseFp) atan2_yZeroCases, "atan2_yZeroCases", + "Check for y=0", TEST_ENABLED +}; +static const SDLTest_TestCaseReference atan2TestZero3 = { + (SDLTest_TestCaseFp) atan2_xZeroCases, "atan2_xZeroCases", + "Check for x=0", TEST_ENABLED +}; +static const SDLTest_TestCaseReference atan2TestInf1 = { + (SDLTest_TestCaseFp) atan2_bothInfCases, "atan2_bothInfCases", + "Check for both arguments being infinity", TEST_ENABLED +}; +static const SDLTest_TestCaseReference atan2TestInf2 = { + (SDLTest_TestCaseFp) atan2_yInfCases, "atan2_yInfCases", + "Check for y=0", TEST_ENABLED +}; +static const SDLTest_TestCaseReference atan2TestInf3 = { + (SDLTest_TestCaseFp) atan2_xInfCases, "atan2_xInfCases", + "Check for x=0", TEST_ENABLED +}; +static const SDLTest_TestCaseReference atan2TestNan = { + (SDLTest_TestCaseFp) atan2_nanCases, "atan2_nanCases", + "Check the NaN special cases", TEST_ENABLED +}; +static const SDLTest_TestCaseReference atan2TestQuadrantTopRight = { + (SDLTest_TestCaseFp) atan2_topRightQuadrantTest, "atan2_topRightQuadrantTest", + "Checks values in the top right quadrant", TEST_ENABLED +}; +static const SDLTest_TestCaseReference atan2TestQuadrantTopLeft = { + (SDLTest_TestCaseFp) atan2_topLeftQuadrantTest, "atan2_topLeftQuadrantTest", + "Checks values in the top left quadrant", TEST_ENABLED +}; +static const SDLTest_TestCaseReference atan2TestQuadrantBottomRight = { + (SDLTest_TestCaseFp) atan2_bottomRightQuadrantTest, "atan2_bottomRightQuadrantTest", + "Checks values in the bottom right quadrant", TEST_ENABLED +}; +static const SDLTest_TestCaseReference atan2TestQuadrantBottomLeft = { + (SDLTest_TestCaseFp) atan2_bottomLeftQuadrantTest, "atan2_bottomLeftQuadrantTest", + "Checks values in the bottom left quadrant", TEST_ENABLED +}; + static const SDLTest_TestCaseReference *mathTests[] = { &floorTestInf, &floorTestZero, &floorTestNan, &floorTestRound, &floorTestFraction, &floorTestRange, @@ -2868,6 +3176,11 @@ static const SDLTest_TestCaseReference *mathTests[] = { &atanTestLimit, &atanTestZero, &atanTestNan, &atanTestPrecision, + &atan2TestZero1, &atan2TestZero2, &atan2TestZero3, + &atan2TestInf1, &atan2TestInf2, &atan2TestInf3, + &atan2TestNan, &atan2TestQuadrantTopRight, &atan2TestQuadrantTopLeft, + &atan2TestQuadrantBottomRight, &atan2TestQuadrantBottomLeft, + NULL };