Test: Add Atan2 tests to math suite.

This commit is contained in:
Pierre Wendling 2022-05-25 01:28:03 -04:00 committed by Sam Lantinga
parent 8ebe640a36
commit 4d7f12f6bd
1 changed files with 314 additions and 1 deletions

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@ -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
};