blob: bdf5703a293ae5ac52fd02605f0da87dc3d9471a [file] [log] [blame]
/**
* Math test suite
*/
#include <float.h>
#include <math.h>
#include "SDL.h"
#include "SDL_test.h"
/* ================= Test Constants ================== */
/* Range tests parameters */
#define RANGE_TEST_ITERATIONS 10000000
#define RANGE_TEST_STEP SDL_MAX_UINT32 / RANGE_TEST_ITERATIONS
/* Margin of error for imprecise tests */
#define EPSILON 1.0E-10
/* Euler constant (used in exp/log) */
#ifndef M_E
#define EULER 2.7182818284590450907955982984276488423347473144531250
#else
#define EULER M_E
#endif
/* Square root of 3 (used in atan2) */
#define SQRT3 1.7320508075688771931766041234368458390235900878906250
/* ================= Test Structs ================== */
/**
* Stores a single input and the expected result
*/
typedef struct
{
double input;
double expected;
} d_to_d;
/**
* Stores a pair of inputs and the expected result
*/
typedef struct
{
double x_input, y_input;
double expected;
} dd_to_d;
/*
NB: You cannot create an array of these structures containing INFINITY or NAN.
On platforms such as OS/2, they are defined as 'extern const double' making them
not compile-time constant.
*/
/* ================= Test Helpers ================== */
typedef double(SDLCALL *d_to_d_func)(double);
typedef double(SDLCALL *dd_to_d_func)(double, double);
/**
* \brief Runs all the cases on a given function with a signature double -> double.
* The result is expected to be exact.
*
* \param func_name, a printable name for 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_dtod(const char *func_name, d_to_d_func func,
const d_to_d *cases, const size_t cases_size)
{
Uint32 i;
for (i = 0; i < cases_size; i++) {
const double result = func(cases[i].input);
SDLTest_AssertCheck(result == cases[i].expected,
"%s(%f), expected %f, got %f",
func_name,
cases[i].input,
cases[i].expected, result);
}
return TEST_COMPLETED;
}
/**
* \brief Runs all the cases on a given function with a signature double -> double.
* Checks if the result between expected +/- EPSILON.
*
* \param func_name, a printable name for 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_dtod_inexact(const char *func_name, d_to_d_func func,
const d_to_d *cases, const size_t cases_size)
{
Uint32 i;
for (i = 0; i < cases_size; i++) {
const double result = func(cases[i].input);
SDLTest_AssertCheck(result >= cases[i].expected - EPSILON &&
result <= cases[i].expected + EPSILON,
"%s(%f), expected [%f,%f], got %f",
func_name,
cases[i].input,
cases[i].expected - EPSILON,
cases[i].expected + EPSILON,
result);
}
return TEST_COMPLETED;
}
/**
* \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, a printable name for 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(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,
"%s(%f,%f), expected %f, got %f",
func_name,
cases[i].x_input, cases[i].y_input,
cases[i].expected, result);
}
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, a printable name for 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
*
* This function is only meant to test functions that returns the input value if it is
* integral: f(x) -> x for x in N.
*
* \param func_name, a printable name for the tested function.
* \param func, the function to call.
*/
static int
helper_range(const char *func_name, d_to_d_func func)
{
Uint32 i;
double test_value = 0.0;
SDLTest_AssertPass("%s: Testing a range of %u values with steps of %" SDL_PRIu32,
func_name,
RANGE_TEST_ITERATIONS,
RANGE_TEST_STEP);
for (i = 0; i < RANGE_TEST_ITERATIONS; i++, test_value += RANGE_TEST_STEP) {
double result;
/* These are tested elsewhere */
if (isnan(test_value) || isinf(test_value)) {
continue;
}
result = func(test_value);
if (result != test_value) { /* Only log failures to save performances */
SDLTest_AssertCheck(SDL_FALSE,
"%s(%.1f), expected %.1f, got %.1f",
func_name, test_value,
test_value, result);
return TEST_ABORTED;
}
}
return TEST_COMPLETED;
}
/* ================= Test Case Implementation ================== */
/* SDL_floor tests functions */
/**
* Inputs: +/-Infinity.
* Expected: Infinity is returned as-is.
*/
static int
floor_infCases(void *args)
{
double result;
result = SDL_floor(INFINITY);
SDLTest_AssertCheck(INFINITY == result,
"Floor(%f), expected %f, got %f",
INFINITY, INFINITY, result);
result = SDL_floor(-INFINITY);
SDLTest_AssertCheck(-INFINITY == result,
"Floor(%f), expected %f, got %f",
-INFINITY, -INFINITY, result);
return TEST_COMPLETED;
}
/**
* Inputs: +/-0.0.
* Expected: Zero is returned as-is.
*/
static int
floor_zeroCases(void *args)
{
const d_to_d zero_cases[] = {
{ 0.0, 0.0 },
{ -0.0, -0.0 }
};
return helper_dtod("Floor", SDL_floor, zero_cases, SDL_arraysize(zero_cases));
}
/**
* Input: NAN.
* Expected: NAN is returned.
*/
static int
floor_nanCase(void *args)
{
const double result = SDL_floor(NAN);
SDLTest_AssertCheck(isnan(result),
"Floor(nan), expected nan, got %f",
result);
return TEST_COMPLETED;
}
/**
* Inputs: integral values.
* Expected: the input value is returned as-is.
*/
static int
floor_roundNumbersCases(void *args)
{
const d_to_d round_cases[] = {
{ 1.0, 1.0 },
{ -1.0, -1.0 },
{ 15.0, 15.0 },
{ -15.0, -15.0 },
{ 125.0, 125.0 },
{ -125.0, -125.0 },
{ 1024.0, 1024.0 },
{ -1024.0, -1024.0 }
};
return helper_dtod("Floor", SDL_floor, round_cases, SDL_arraysize(round_cases));
}
/**
* Inputs: fractional values.
* Expected: the lower integral value is returned.
*/
static int
floor_fractionCases(void *args)
{
const d_to_d frac_cases[] = {
{ 1.0 / 2.0, 0.0 },
{ -1.0 / 2.0, -1.0 },
{ 4.0 / 3.0, 1.0 },
{ -4.0 / 3.0, -2.0 },
{ 76.0 / 7.0, 10.0 },
{ -76.0 / 7.0, -11.0 },
{ 535.0 / 8.0, 66.0 },
{ -535.0 / 8.0, -67.0 },
{ 19357.0 / 53.0, 365.0 },
{ -19357.0 / 53.0, -366.0 }
};
return helper_dtod("Floor", SDL_floor, frac_cases, SDL_arraysize(frac_cases));
}
/**
* Inputs: values in the range [0, UINT32_MAX].
* Expected: the input value is returned as-is.
*/
static int
floor_rangeTest(void *args)
{
return helper_range("Floor", SDL_floor);
}
/* SDL_ceil tests functions */
/**
* Inputs: +/-Infinity.
* Expected: Infinity is returned as-is.
*/
static int
ceil_infCases(void *args)
{
double result;
result = SDL_ceil(INFINITY);
SDLTest_AssertCheck(INFINITY == result,
"Ceil(%f), expected %f, got %f",
INFINITY, INFINITY, result);
result = SDL_ceil(-INFINITY);
SDLTest_AssertCheck(-INFINITY == result,
"Ceil(%f), expected %f, got %f",
-INFINITY, -INFINITY, result);
return TEST_COMPLETED;
}
/**
* Inputs: +/-0.0.
* Expected: Zero is returned as-is.
*/
static int
ceil_zeroCases(void *args)
{
const d_to_d zero_cases[] = {
{ 0.0, 0.0 },
{ -0.0, -0.0 }
};
return helper_dtod("Ceil", SDL_ceil, zero_cases, SDL_arraysize(zero_cases));
}
/**
* Input: NAN.
* Expected: NAN is returned.
*/
static int
ceil_nanCase(void *args)
{
const double result = SDL_ceil(NAN);
SDLTest_AssertCheck(isnan(result),
"Ceil(nan), expected nan, got %f",
result);
return TEST_COMPLETED;
}
/**
* Inputs: integral values.
* Expected: the input value is returned as-is.
*/
static int
ceil_roundNumbersCases(void *args)
{
const d_to_d round_cases[] = {
{ 1.0, 1.0 },
{ -1.0, -1.0 },
{ 15.0, 15.0 },
{ -15.0, -15.0 },
{ 125.0, 125.0 },
{ -125.0, -125.0 },
{ 1024.0, 1024.0 },
{ -1024.0, -1024.0 }
};
return helper_dtod("Ceil", SDL_ceil, round_cases, SDL_arraysize(round_cases));
}
/**
* Inputs: fractional values.
* Expected: the higher integral value is returned.
*/
static int
ceil_fractionCases(void *args)
{
const d_to_d frac_cases[] = {
{ 1.0 / 2.0, 1.0 },
{ -1.0 / 2.0, -0.0 },
{ 4.0 / 3.0, 2.0 },
{ -4.0 / 3.0, -1.0 },
{ 76.0 / 7.0, 11.0 },
{ -76.0 / 7.0, -10.0 },
{ 535.0 / 8.0, 67.0 },
{ -535.0 / 8.0, -66.0 },
{ 19357.0 / 53.0, 366.0 },
{ -19357.0 / 53.0, -365.0 }
};
return helper_dtod("Ceil", SDL_ceil, frac_cases, SDL_arraysize(frac_cases));
}
/**
* Inputs: values in the range [0, UINT32_MAX].
* Expected: the input value is returned as-is.
*/
static int
ceil_rangeTest(void *args)
{
return helper_range("Ceil", SDL_ceil);
}
/* SDL_trunc tests functions */
/**
* Inputs: +/-Infinity.
* Expected: Infinity is returned as-is.
*/
static int
trunc_infCases(void *args)
{
double result;
result = SDL_trunc(INFINITY);
SDLTest_AssertCheck(INFINITY == result,
"Trunc(%f), expected %f, got %f",
INFINITY, INFINITY, result);
result = SDL_trunc(-INFINITY);
SDLTest_AssertCheck(-INFINITY == result,
"Trunc(%f), expected %f, got %f",
-INFINITY, -INFINITY, result);
return TEST_COMPLETED;
}
/**
* Inputs: +/-0.0.
* Expected: Zero is returned as-is.
*/
static int
trunc_zeroCases(void *args)
{
const d_to_d zero_cases[] = {
{ 0.0, 0.0 },
{ -0.0, -0.0 }
};
return helper_dtod("Trunc", SDL_trunc, zero_cases, SDL_arraysize(zero_cases));
}
/**
* Input: NAN.
* Expected: NAN is returned.
*/
static int
trunc_nanCase(void *args)
{
const double result = SDL_trunc(NAN);
SDLTest_AssertCheck(isnan(result),
"Trunc(nan), expected nan, got %f",
result);
return TEST_COMPLETED;
}
/**
* Inputs: integral values.
* Expected: the input value is returned as-is.
*/
static int
trunc_roundNumbersCases(void *args)
{
const d_to_d round_cases[] = {
{ 1.0, 1.0 },
{ -1.0, -1.0 },
{ 15.0, 15.0 },
{ -15.0, -15.0 },
{ 125.0, 125.0 },
{ -125.0, -125.0 },
{ 1024.0, 1024.0 },
{ -1024.0, -1024.0 }
};
return helper_dtod("Trunc", SDL_trunc, round_cases, SDL_arraysize(round_cases));
}
/**
* Inputs: fractional values.
* Expected: the integral part is returned.
*/
static int
trunc_fractionCases(void *args)
{
const d_to_d frac_cases[] = {
{ 1.0 / 2.0, 0.0 },
{ -1.0 / 2.0, -0.0 },
{ 4.0 / 3.0, 1.0 },
{ -4.0 / 3.0, -1.0 },
{ 76.0 / 7.0, 10.0 },
{ -76.0 / 7.0, -10.0 },
{ 535.0 / 8.0, 66.0 },
{ -535.0 / 8.0, -66.0 },
{ 19357.0 / 53.0, 365.0 },
{ -19357.0 / 53.0, -365.0 }
};
return helper_dtod("Trunc", SDL_trunc, frac_cases, SDL_arraysize(frac_cases));
}
/**
* Inputs: values in the range [0, UINT32_MAX].
* Expected: the input value is returned as-is.
*/
static int
trunc_rangeTest(void *args)
{
return helper_range("Trunc", SDL_trunc);
}
/* SDL_round tests functions */
/**
* Inputs: +/-Infinity.
* Expected: Infinity is returned as-is.
*/
static int
round_infCases(void *args)
{
double result;
result = SDL_round(INFINITY);
SDLTest_AssertCheck(INFINITY == result,
"Round(%f), expected %f, got %f",
INFINITY, INFINITY, result);
result = SDL_round(-INFINITY);
SDLTest_AssertCheck(-INFINITY == result,
"Round(%f), expected %f, got %f",
-INFINITY, -INFINITY, result);
return TEST_COMPLETED;
}
/**
* Inputs: +/-0.0.
* Expected: Zero is returned as-is.
*/
static int
round_zeroCases(void *args)
{
const d_to_d zero_cases[] = {
{ 0.0, 0.0 },
{ -0.0, -0.0 }
};
return helper_dtod("Round", SDL_round, zero_cases, SDL_arraysize(zero_cases));
}
/**
* Input: NAN.
* Expected: NAN is returned.
*/
static int
round_nanCase(void *args)
{
const double result = SDL_round(NAN);
SDLTest_AssertCheck(isnan(result),
"Round(nan), expected nan, got %f",
result);
return TEST_COMPLETED;
}
/**
* Inputs: integral values.
* Expected: the input value is returned as-is.
*/
static int
round_roundNumbersCases(void *args)
{
const d_to_d round_cases[] = {
{ 1.0, 1.0 },
{ -1.0, -1.0 },
{ 15.0, 15.0 },
{ -15.0, -15.0 },
{ 125.0, 125.0 },
{ -125.0, -125.0 },
{ 1024.0, 1024.0 },
{ -1024.0, -1024.0 }
};
return helper_dtod("Round", SDL_round, round_cases, SDL_arraysize(round_cases));
}
/**
* Inputs: fractional values.
* Expected: the nearest integral value is returned.
*/
static int
round_fractionCases(void *args)
{
const d_to_d frac_cases[] = {
{ 1.0 / 2.0, 1.0 },
{ -1.0 / 2.0, -1.0 },
{ 4.0 / 3.0, 1.0 },
{ -4.0 / 3.0, -1.0 },
{ 76.0 / 7.0, 11.0 },
{ -76.0 / 7.0, -11.0 },
{ 535.0 / 8.0, 67.0 },
{ -535.0 / 8.0, -67.0 },
{ 19357.0 / 53.0, 365.0 },
{ -19357.0 / 53.0, -365.0 }
};
return helper_dtod("Round", SDL_round, frac_cases, SDL_arraysize(frac_cases));
}
/**
* Inputs: values in the range [0, UINT32_MAX].
* Expected: the input value is returned as-is.
*/
static int
round_rangeTest(void *args)
{
return helper_range("Round", SDL_round);
}
/* SDL_fabs tests functions */
/**
* Inputs: +/-Infinity.
* Expected: Positive Infinity is returned.
*/
static int
fabs_infCases(void *args)
{
double result;
result = SDL_fabs(INFINITY);
SDLTest_AssertCheck(INFINITY == result,
"Fabs(%f), expected %f, got %f",
INFINITY, INFINITY, result);
result = SDL_fabs(-INFINITY);
SDLTest_AssertCheck(INFINITY == result,
"Fabs(%f), expected %f, got %f",
-INFINITY, INFINITY, result);
return TEST_COMPLETED;
}
/**
* Inputs: +/-0.0.
* Expected: Positive zero is returned.
*/
static int
fabs_zeroCases(void *args)
{
const d_to_d zero_cases[] = {
{ 0.0, 0.0 },
{ -0.0, 0.0 }
};
return helper_dtod("Fabs", SDL_fabs, zero_cases, SDL_arraysize(zero_cases));
}
/**
* Input: NAN.
* Expected: NAN is returned.
*/
static int
fabs_nanCase(void *args)
{
const double result = SDL_fabs(NAN);
SDLTest_AssertCheck(isnan(result),
"Fabs(nan), expected nan, got %f",
result);
return TEST_COMPLETED;
}
/**
* Inputs: values in the range [0, UINT32_MAX].
* Expected: the input value is returned as-is.
*/
static int
fabs_rangeTest(void *args)
{
return helper_range("Fabs", SDL_fabs);
}
/* SDL_copysign tests functions */
/**
* Inputs: (+/-Infinity, +/-1.0).
* Expected: Infinity with the sign of 1.0 is returned.
*/
static int
copysign_infCases(void *args)
{
double result;
result = SDL_copysign(INFINITY, -1.0);
SDLTest_AssertCheck(-INFINITY == result,
"Copysign(%f,%.1f), expected %f, got %f",
INFINITY, -1.0, -INFINITY, result);
result = SDL_copysign(INFINITY, 1.0);
SDLTest_AssertCheck(INFINITY == result,
"Copysign(%f,%.1f), expected %f, got %f",
INFINITY, 1.0, INFINITY, result);
result = SDL_copysign(-INFINITY, -1.0);
SDLTest_AssertCheck(-INFINITY == result,
"Copysign(%f,%.1f), expected %f, got %f",
-INFINITY, -1.0, -INFINITY, result);
result = SDL_copysign(-INFINITY, 1.0);
SDLTest_AssertCheck(INFINITY == result,
"Copysign(%f,%.1f), expected %f, got %f",
-INFINITY, 1.0, INFINITY, result);
return TEST_COMPLETED;
}
/**
* Inputs: (+/-0.0, +/-1.0).
* Expected: 0.0 with the sign of 1.0 is returned.
*/
static int
copysign_zeroCases(void *args)
{
const dd_to_d zero_cases[] = {
{ 0.0, 1.0, 0.0 },
{ 0.0, -1.0, -0.0 },
{ -0.0, 1.0, 0.0 },
{ -0.0, -1.0, -0.0 }
};
return helper_ddtod("Copysign", SDL_copysign, zero_cases, SDL_arraysize(zero_cases));
}
/**
* Inputs: (NAN, +/-1.0).
* Expected: NAN with the sign of 1.0 is returned.
* NOTE: On some platforms signed NAN is not supported, so we only check if the result is still NAN.
*/
static int
copysign_nanCases(void *args)
{
double result;
result = SDL_copysign(NAN, 1.0);
SDLTest_AssertCheck(isnan(result),
"Copysign(nan,1.0), expected nan, got %f",
result);
result = SDL_copysign(NAN, -1.0);
SDLTest_AssertCheck(isnan(result),
"Copysign(nan,-1.0), expected nan, got %f",
result);
return TEST_COMPLETED;
}
/**
* Inputs: values in the range [0, UINT32_MAX], +/-1.0.
* Expected: the input value with the sign of 1.0 is returned.
*/
static int
copysign_rangeTest(void *args)
{
Uint32 i;
double test_value = 0.0;
SDLTest_AssertPass("Copysign: Testing a range of %u values with steps of %" SDL_PRIu32,
RANGE_TEST_ITERATIONS,
RANGE_TEST_STEP);
for (i = 0; i < RANGE_TEST_ITERATIONS; i++, test_value += RANGE_TEST_STEP) {
double result;
/* These are tested elsewhere */
if (isnan(test_value) || isinf(test_value)) {
continue;
}
/* Only log failures to save performances */
result = SDL_copysign(test_value, 1.0);
if (result != test_value) {
SDLTest_AssertCheck(SDL_FALSE,
"Copysign(%.1f,%.1f), expected %.1f, got %.1f",
test_value, 1.0, test_value, result);
return TEST_ABORTED;
}
result = SDL_copysign(test_value, -1.0);
if (result != -test_value) {
SDLTest_AssertCheck(SDL_FALSE,
"Copysign(%.1f,%.1f), expected %.1f, got %.1f",
test_value, -1.0, -test_value, result);
return TEST_ABORTED;
}
}
return TEST_COMPLETED;
}
/* SDL_fmod tests functions */
/**
* Inputs: (+/-Infinity, +/-1.0).
* Expected: NAN is returned.
*/
static int
fmod_divOfInfCases(void *args)
{
double result;
result = SDL_fmod(INFINITY, -1.0);
SDLTest_AssertCheck(isnan(result),
"Fmod(%f,%.1f), expected %f, got %f",
INFINITY, -1.0, NAN, result);
result = SDL_fmod(INFINITY, 1.0);
SDLTest_AssertCheck(isnan(result),
"Fmod(%f,%.1f), expected %f, got %f",
INFINITY, 1.0, NAN, result);
result = SDL_fmod(-INFINITY, -1.0);
SDLTest_AssertCheck(isnan(result),
"Fmod(%f,%.1f), expected %f, got %f",
-INFINITY, -1.0, NAN, result);
result = SDL_fmod(-INFINITY, 1.0);
SDLTest_AssertCheck(isnan(result),
"Fmod(%f,%.1f), expected %f, got %f",
-INFINITY, 1.0, NAN, result);
return TEST_COMPLETED;
}
/**
* Inputs: (+/-1.0, +/-Infinity).
* Expected: 1.0 is returned as-is.
*/
static int
fmod_divByInfCases(void *args)
{
double result;
result = SDL_fmod(1.0, INFINITY);
SDLTest_AssertCheck(1.0 == result,
"Fmod(%.1f,%f), expected %f, got %f",
1.0, INFINITY, 1.0, result);
result = SDL_fmod(-1.0, INFINITY);
SDLTest_AssertCheck(-1.0 == result,
"Fmod(%.1f,%f), expected %f, got %f",
-1.0, INFINITY, -1.0, result);
result = SDL_fmod(1.0, -INFINITY);
SDLTest_AssertCheck(1.0 == result,
"Fmod(%.1f,%f), expected %f, got %f",
1.0, -INFINITY, 1.0, result);
result = SDL_fmod(-1.0, -INFINITY);
SDLTest_AssertCheck(-1.0 == result,
"Fmod(%.1f,%f), expected %f, got %f",
-1.0, -INFINITY, -1.0, result);
return TEST_COMPLETED;
}
/**
* Inputs: (+/-0.0, +/-1.0).
* Expected: Zero is returned as-is.
*/
static int
fmod_divOfZeroCases(void *args)
{
const dd_to_d zero_cases[] = {
{ 0.0, 1.0, 0.0 },
{ 0.0, -1.0, 0.0 },
{ -0.0, 1.0, -0.0 },
{ -0.0, -1.0, -0.0 }
};
return helper_ddtod("Fmod", SDL_fmod, zero_cases, SDL_arraysize(zero_cases));
}
/**
* Inputs: (+/-1.0, +/-0.0).
* Expected: NAN is returned.
*/
static int
fmod_divByZeroCases(void *args)
{
double result;
result = SDL_fmod(1.0, 0.0);
SDLTest_AssertCheck(isnan(result),
"Fmod(1.0,0.0), expected nan, got %f",
result);
result = SDL_fmod(-1.0, 0.0);
SDLTest_AssertCheck(isnan(result),
"Fmod(-1.0,0.0), expected nan, got %f",
result);
result = SDL_fmod(1.0, -0.0);
SDLTest_AssertCheck(isnan(result),
"Fmod(1.0,-0.0), expected nan, got %f",
result);
result = SDL_fmod(-1.0, -0.0);
SDLTest_AssertCheck(isnan(result),
"Fmod(-1.0,-0.0), expected nan, got %f",
result);
return TEST_COMPLETED;
}
/**
* Inputs: all permutation of NAN and +/-1.0.
* Expected: NAN is returned.
*/
static int
fmod_nanCases(void *args)
{
double result;
result = SDL_fmod(NAN, 1.0);
SDLTest_AssertCheck(isnan(result),
"Fmod(nan,1.0), expected nan, got %f",
result);
result = SDL_fmod(NAN, -1.0);
SDLTest_AssertCheck(isnan(result),
"Fmod(nan,-1.0), expected nan, got %f",
result);
result = SDL_fmod(1.0, NAN);
SDLTest_AssertCheck(isnan(result),
"Fmod(1.0,nan), expected nan, got %f",
result);
result = SDL_fmod(-1.0, NAN);
SDLTest_AssertCheck(isnan(result),
"Fmod(-1.0,nan), expected nan, got %f",
result);
return TEST_COMPLETED;
}
/**
* Inputs: values within the domain of the function.
* Expected: the correct result is returned.
*/
static int
fmod_regularCases(void *args)
{
const dd_to_d regular_cases[] = {
{ 3.5, 2.0, 1.5 },
{ -6.25, 3.0, -0.25 },
{ 7.5, 2.5, 0.0 },
{ 2.0 / 3.0, -1.0 / 3.0, 0.0 }
};
return helper_ddtod("Fmod", SDL_fmod, regular_cases, SDL_arraysize(regular_cases));
}
/**
* Inputs: values in the range [0, UINT32_MAX] divided by 1.0.
* Expected: Positive zero is always returned.
*/
static int
fmod_rangeTest(void *args)
{
Uint32 i;
double test_value = 0.0;
SDLTest_AssertPass("Fmod: Testing a range of %u values with steps of %" SDL_PRIu32,
RANGE_TEST_ITERATIONS,
RANGE_TEST_STEP);
for (i = 0; i < RANGE_TEST_ITERATIONS; i++, test_value += RANGE_TEST_STEP) {
double result;
/* These are tested elsewhere */
if (isnan(test_value) || isinf(test_value)) {
continue;
}
/* Only log failures to save performances */
result = SDL_fmod(test_value, 1.0);
if (0.0 != result) {
SDLTest_AssertCheck(SDL_FALSE,
"Fmod(%.1f,%.1f), expected %.1f, got %.1f",
test_value, 1.0, 0.0, result);
return TEST_ABORTED;
}
}
return TEST_COMPLETED;
}
/* SDL_exp tests functions */
/**
* Inputs: +/-Infinity.
* Expected: Infinity is returned as-is.
*/
static int
exp_infCases(void *args)
{
double result;
result = SDL_exp(INFINITY);
SDLTest_AssertCheck(INFINITY == result,
"Exp(%f), expected %f, got %f",
INFINITY, INFINITY, result);
result = SDL_exp(-INFINITY);
SDLTest_AssertCheck(0.0 == result,
"Exp(%f), expected %f, got %f",
-INFINITY, 0.0, result);
return TEST_COMPLETED;
}
/**
* Inputs: +/-0.0.
* Expected: 1.0 is returned.
*/
static int
exp_zeroCases(void *args)
{
const d_to_d zero_cases[] = {
{ 0.0, 1.0 },
{ -0.0, 1.0 }
};
return helper_dtod("Exp", SDL_exp, zero_cases, SDL_arraysize(zero_cases));
}
/**
* Input: 710.0 (overflows for 64bits double).
* Expected: Infinity is returned.
* NOTE: This test is skipped for double types larger than 64 bits.
*/
static int
exp_overflowCase(void *args)
{
double result;
if (sizeof(double) > 8) {
return TEST_SKIPPED;
}
result = SDL_exp(710.0);
SDLTest_AssertCheck(isinf(result),
"Exp(%f), expected %f, got %f",
710.0, INFINITY, result);
return TEST_COMPLETED;
}
/**
* Input: 1.0
* Expected: The euler constant.
*/
static int
exp_baseCase(void *args)
{
const double result = SDL_exp(1.0);
SDLTest_AssertCheck(result >= EULER - EPSILON &&
result <= EULER + EPSILON,
"Exp(%f), expected [%f,%f], got %f",
1.0, EULER - EPSILON, EULER + EPSILON, result);
return TEST_COMPLETED;
}
/**
* Inputs: values within the domain of the function.
* Expected: the correct result is returned.
*/
static int
exp_regularCases(void *args)
{
/* Hexadecimal floating constants are not supported on C89 compilers */
const d_to_d regular_cases[] = {
{ -101.0, 1.36853947117385291381565719268793547578002532127613087E-44 },
{ -15.73, 0.00000014741707833928422931856502906683425990763681 },
{ -1.0, 0.36787944117144233402427744294982403516769409179688 },
{ -0.5, 0.60653065971263342426311737654032185673713684082031 },
{ 0.5, 1.64872127070012819416433558217249810695648193359375 },
{ 2.25, 9.48773583635852624240669683786109089851379394531250 },
{ 34.125, 661148770968660.375 },
{ 112.89, 10653788283588960962604279261058893737879589093376.0 },
{ 539.483, 1970107755334319939701129934673541628417235942656909222826926175622435588279443011110464355295725187195188154768877850257012251677751742837992843520967922303961718983154427294786640886286983037548604937796221048661733679844353544028160.0 },
};
return helper_dtod("Exp", SDL_exp, regular_cases, SDL_arraysize(regular_cases));
}
/* SDL_log tests functions */
/**
* Inputs: Positive Infinity and +/-0.0.
* Expected: Positive and negative Infinity respectively.
*/
static int
log_limitCases(void *args)
{
double result;
result = SDL_log(INFINITY);
SDLTest_AssertCheck(INFINITY == result,
"Log(%f), expected %f, got %f",
INFINITY, INFINITY, result);
result = SDL_log(0.0);
SDLTest_AssertCheck(-INFINITY == result,
"Log(%f), expected %f, got %f",
0.0, -INFINITY, result);
result = SDL_log(-0.0);
SDLTest_AssertCheck(-INFINITY == result,
"Log(%f), expected %f, got %f",
-0.0, -INFINITY, result);
return TEST_COMPLETED;
}
/**
* Inputs: 1.0 and the Euler constant.
* Expected: 0.0 and 1.0 respectively.
*/
static int
log_baseCases(void *args)
{
double result;
result = SDL_log(1.0);
SDLTest_AssertCheck(0.0 == result,
"Log(%f), expected %f, got %f",
1.0, 0.0, result);
result = SDL_log(EULER);
SDLTest_AssertCheck(1.0 == result,
"Log(%f), expected %f, got %f",
EULER, 1.0, result);
return TEST_COMPLETED;
}
/**
* Inputs: NAN and a negative value.
* Expected: NAN is returned.
*/
static int
log_nanCases(void *args)
{
double result;
result = SDL_log(NAN);
SDLTest_AssertCheck(isnan(result),
"Log(%f), expected %f, got %f",
NAN, NAN, result);
result = SDL_log(-1234.5678);
SDLTest_AssertCheck(isnan(result),
"Log(%f), expected %f, got %f",
-1234.5678, NAN, result);
return TEST_COMPLETED;
}
/**
* Inputs: values within the domain of the function.
* Expected: the correct result is returned.
*/
static int
log_regularCases(void *args)
{
const d_to_d regular_cases[] = {
{ 5.0, 1.60943791243410028179994242236716672778129577636718750 },
{ 10.0, 2.302585092994045901093613792909309267997741699218750 },
{ 56.32, 4.031049711849786554296315443934872746467590332031250 },
{ 789.123, 6.670922202231861497523368598194792866706848144531250 },
{ 2734.876324, 7.91384149408957959792587644187733530998229980468750 }
};
return helper_dtod("Log", SDL_log, regular_cases, SDL_arraysize(regular_cases));
}
/* SDL_log10 tests functions */
/**
* Inputs: Positive Infinity and +/-0.0.
* Expected: Positive and negative Infinity respectively.
*/
static int
log10_limitCases(void *args)
{
double result;
result = SDL_log10(INFINITY);
SDLTest_AssertCheck(INFINITY == result,
"Log10(%f), expected %f, got %f",
INFINITY, INFINITY, result);
result = SDL_log10(0.0);
SDLTest_AssertCheck(-INFINITY == result,
"Log10(%f), expected %f, got %f",
0.0, -INFINITY, result);
result = SDL_log10(-0.0);
SDLTest_AssertCheck(-INFINITY == result,
"Log10(%f), expected %f, got %f",
-0.0, -INFINITY, result);
return TEST_COMPLETED;
}
/**
* Inputs: Powers of ten from 0 to 9.
* Expected: the exact power of ten is returned.
*/
static int
log10_baseCases(void *args)
{
const d_to_d base_cases[] = {
{ 1.0, 0.0 },
{ 10.0, 1.0 },
{ 100.0, 2.0 },
{ 1000.0, 3.0 },
{ 10000.0, 4.0 },
{ 100000.0, 5.0 },
{ 1000000.0, 6.0 },
{ 10000000.0, 7.0 },
{ 100000000.0, 8.0 },
{ 1000000000.0, 9.0 },
};
return helper_dtod("Log10", SDL_log10, base_cases, SDL_arraysize(base_cases));
}
/**
* Inputs: NAN and a negative value.
* Expected: NAN is returned.
*/
static int
log10_nanCases(void *args)
{
double result;
result = SDL_log10(NAN);
SDLTest_AssertCheck(isnan(result),
"Log10(%f), expected %f, got %f",
NAN, NAN, result);
result = SDL_log10(-1234.5678);
SDLTest_AssertCheck(isnan(result),
"Log10(%f), expected %f, got %f",
-1234.5678, NAN, result);
return TEST_COMPLETED;
}
/**
* Inputs: values within the domain of the function.
* Expected: the correct result is returned.
*/
static int
log10_regularCases(void *args)
{
const d_to_d regular_cases[] = {
{ 5.0, 0.698970004336018857493684208748163655400276184082031250 },
{ 12.5, 1.09691001300805646145875016372883692383766174316406250 },
{ 56.32, 1.750662646134055755453573510749265551567077636718750 },
{ 789.123, 2.8971447016351858927407647570362314581871032714843750 },
{ 2734.876324, 3.436937691540090433761633903486654162406921386718750 }
};
return helper_dtod_inexact("Log10", SDL_log10, regular_cases, SDL_arraysize(regular_cases));
}
/* SDL_pow tests functions */
/* Tests with positive and negative infinities as exponents */
/**
* Inputs: (-1.0, +/-Infinity).
* Expected: 1.0 is returned.
*/
static int
pow_baseNOneExpInfCases(void *args)
{
double result;
result = SDL_pow(-1.0, INFINITY);
SDLTest_AssertCheck(1.0 == result,
"Pow(%f,%f), expected %f, got %f",
-1.0, INFINITY, 1.0, result);
result = SDL_pow(-1.0, -INFINITY);
SDLTest_AssertCheck(1.0 == result,
"Pow(%f,%f), expected %f, got %f",
-1.0, -INFINITY, 1.0, result);
return TEST_COMPLETED;
}
/**
* Inputs: (+/-0.0, -Infinity).
* Expected: Infinity is returned.
*/
static int
pow_baseZeroExpNInfCases(void *args)
{
double result;
result = SDL_pow(0.0, -INFINITY);
SDLTest_AssertCheck(INFINITY == result,
"Pow(%f,%f), expected %f, got %f",
0.0, -INFINITY, INFINITY, result);
result = SDL_pow(-0.0, -INFINITY);
SDLTest_AssertCheck(INFINITY == result,
"Pow(%f,%f), expected %f, got %f",
-0.0, -INFINITY, INFINITY, result);
return TEST_COMPLETED;
}
/**
* Inputs: (x, +/-Infinity) where x is not +/-0.0.
* Expected: 0.0 when x < 1, Infinity when x > 1.
*/
static int
pow_expInfCases(void *args)
{
double result;
result = SDL_pow(0.5, INFINITY);
SDLTest_AssertCheck(0.0 == result,
"Pow(%f,%f), expected %f, got %f",
0.5, INFINITY, 0.0, result);
result = SDL_pow(1.5, INFINITY);
SDLTest_AssertCheck(INFINITY == result,
"Pow(%f,%f), expected %f, got %f",
1.5, INFINITY, INFINITY, result);
result = SDL_pow(0.5, -INFINITY);
SDLTest_AssertCheck(INFINITY == result,
"Pow(%f,%f), expected %f, got %f",
0.5, INFINITY, INFINITY, result);
result = SDL_pow(1.5, -INFINITY);
SDLTest_AssertCheck(0.0 == result,
"Pow(%f,%f), expected %f, got %f",
1.5, -INFINITY, 0.0, result);
return TEST_COMPLETED;
}
/* Tests with positive and negative infinities as base */
/**
* Inputs: (Positive Infinity, x) where x is not +/-0.0.
* Expected: 0.0 when x is < 0, positive Infinity when x > 0.
*/
static int
pow_basePInfCases(void *args)
{
double result;
result = SDL_pow(INFINITY, -3.0);
SDLTest_AssertCheck(0.0 == result,
"Pow(%f,%f), expected %f, got %f",
INFINITY, -3.0, 0.0, result);
result = SDL_pow(INFINITY, 2.0);
SDLTest_AssertCheck(INFINITY == result,
"Pow(%f,%f), expected %f, got %f",
INFINITY, 2.0, INFINITY, result);
result = SDL_pow(INFINITY, -2.12345);
SDLTest_AssertCheck(0.0 == result,
"Pow(%f,%f), expected %f, got %f",
INFINITY, -2.12345, 0.0, result);
result = SDL_pow(INFINITY, 3.1345);
SDLTest_AssertCheck(INFINITY == result,
"Pow(%f,%f), expected %f, got %f",
INFINITY, 3.12345, INFINITY, result);
return TEST_COMPLETED;
}
/**
* Inputs: (Negative Infinity, x) where x is not +/-0.0.
* Expected:
* - -0.0 when x is a negative odd integer,
* - 0.0 when x is a negative even integer or negative non-integer,
* - Negative Infinity when x is a positive odd integer,
* - Positive Infinity when x is a positive even integer or positive non-integer.
*/
static int
pow_baseNInfCases(void *args)
{
double result;
result = SDL_pow(-INFINITY, -3.0);
SDLTest_AssertCheck(-0.0 == result,
"Pow(%f,%f), expected %f, got %f",
-INFINITY, -3.0, -0.0, result);
result = SDL_pow(-INFINITY, -2.0);
SDLTest_AssertCheck(0.0 == result,
"Pow(%f,%f), expected %f, got %f",
-INFINITY, -2.0, 0.0, result);
result = SDL_pow(-INFINITY, -5.5);
SDLTest_AssertCheck(0.0 == result,
"Pow(%f,%f), expected %f, got %f",
-INFINITY, -5.5, 0.0, result);
result = SDL_pow(-INFINITY, 3.0);
SDLTest_AssertCheck(-INFINITY == result,
"Pow(%f,%f), expected %f, got %f",
-INFINITY, 3.0, -INFINITY, result);
result = SDL_pow(-INFINITY, 2.0);
SDLTest_AssertCheck(INFINITY == result,
"Pow(%f,%f), expected %f, got %f",
-INFINITY, 2.0, INFINITY, result);
result = SDL_pow(-INFINITY, 5.5);
SDLTest_AssertCheck(INFINITY == result,
"Pow(%f,%f), expected %f, got %f",
-INFINITY, 5.5, INFINITY, result);
return TEST_COMPLETED;
}
/* Tests related to NAN */
/**
* Inputs:
* - finite and negative base,
* - finite and non-integer exponent.
* Expected: NAN is returned.
*/
static int
pow_badOperationCase(void *args)
{
const double result = SDL_pow(-2.0, 4.2);
SDLTest_AssertCheck(isnan(result),
"Pow(%f,%f), expected %f, got %f",
-2.0, 4.2, NAN, result);
return TEST_COMPLETED;
}
/**
* Inputs: (1.0, NAN)
* Expected: 1.0 is returned.
*/
static int
pow_base1ExpNanCase(void *args)
{
const double result = SDL_pow(1.0, NAN);
SDLTest_AssertCheck(1.0 == result,
"Pow(%f,%f), expected %f, got %f",
1.0, NAN, 1.0, result);
return TEST_COMPLETED;
}
/**
* Inputs: (NAN, +/-0.0)
* Expected: 1.0 is returned.
*/
static int
pow_baseNanExp0Cases(void *args)
{
double result;
result = SDL_pow(NAN, 0.0);
SDLTest_AssertCheck(1.0 == result,
"Pow(%f,%f), expected %f, got %f",
NAN, 0.0, 1.0, result);
result = SDL_pow(NAN, -0.0);
SDLTest_AssertCheck(1.0 == result,
"Pow(%f,%f), expected %f, got %f",
NAN, -0.0, 1.0, result);
return TEST_COMPLETED;
}
/**
* Inputs: NAN as base, exponent or both.
* Expected: NAN is returned.
*/
static int
pow_nanArgsCases(void *args)
{
double result;
result = SDL_pow(7.8, NAN);
SDLTest_AssertCheck(isnan(result),
"Pow(%f,%f), expected %f, got %f",
7.8, NAN, NAN, result);
result = SDL_pow(NAN, 10.0);
SDLTest_AssertCheck(isnan(result),
"Pow(%f,%f), expected %f, got %f",
NAN, 10.0, NAN, result);
result = SDL_pow(NAN, NAN);
SDLTest_AssertCheck(isnan(result),
"Pow(%f,%f), expected %f, got %f",
NAN, NAN, NAN, result);
return TEST_COMPLETED;
}
/* Tests with positive and negative zeros as base */
/**
* Inputs: (-0.0, x) where x is an odd integer.
* Expected:
* - Negative Infinity with a negative exponent,
* - -0.0 with a positive exponent.
*/
static int
pow_baseNZeroExpOddCases(void *args)
{
double result;
result = SDL_pow(-0.0, -3.0);
SDLTest_AssertCheck(-INFINITY == result,
"Pow(%f,%f), expected %f, got %f",
-0.0, -3.0, -INFINITY, result);
result = SDL_pow(-0.0, 3.0);
SDLTest_AssertCheck(-0.0 == result,
"Pow(%f,%f), expected %f, got %f",
-0.0, 3.0, -0.0, result);
return TEST_COMPLETED;
}
/**
* Inputs: (0.0, x) where x is an odd integer.
* Expected:
* - 0.0 with a positive exponent,
* - Positive Infinity with a negative exponent.
*/
static int
pow_basePZeroExpOddCases(void *args)
{
double result;
result = SDL_pow(0.0, -5.0);
SDLTest_AssertCheck(INFINITY == result,
"Pow(%f,%f), expected %f, got %f",
0.0, -5.0, INFINITY, result);
result = SDL_pow(0.0, 5.0);
SDLTest_AssertCheck(0.0 == result,
"Pow(%f,%f), expected %f, got %f",
0.0, 5.0, 0.0, result);
return TEST_COMPLETED;
}
/**
* Inputs: (-0.0, x), with x either:
* - finite and even,
* - finite and non-integer.
* Expected:
* - Positive Infinity if the exponent is negative,
* - 0.0 if the exponent is positive.
*/
static int
pow_baseNZeroCases(void *args)
{
double result;
result = SDL_pow(-0.0, -3.5);
SDLTest_AssertCheck(INFINITY == result,
"Pow(%f,%f), expected %f, got %f",
-0.0, -3.5, INFINITY, result);
result = SDL_pow(-0.0, -4.0);
SDLTest_AssertCheck(INFINITY == result,
"Pow(%f,%f), expected %f, got %f",
-0.0, -4.0, INFINITY, result);
result = SDL_pow(-0.0, 3.5);
SDLTest_AssertCheck(0.0 == result,
"Pow(%f,%f), expected %f, got %f",
-0.0, 3.5, 0.0, result);
result = SDL_pow(-0.0, 4.0);
SDLTest_AssertCheck(0.0 == result,
"Pow(%f,%f), expected %f, got %f",
-0.0, 4.0, 0.0, result);
return TEST_COMPLETED;
}
/**
* Inputs: (0.0, x), with x either:
* - finite and even,
* - finite and non-integer.
* Expected:
* - Positive Infinity if the exponent is negative,
* - 0.0 if the exponent is positive.
*/
static int
pow_basePZeroCases(void *args)
{
double result;
result = SDL_pow(0.0, -3.5);
SDLTest_AssertCheck(INFINITY == result,
"Pow(%f,%f), expected %f, got %f",
0.0, -3.5, INFINITY, result);
result = SDL_pow(0.0, -4.0);
SDLTest_AssertCheck(INFINITY == result,
"Pow(%f,%f), expected %f, got %f",
0.0, -4.0, INFINITY, result);
result = SDL_pow(0.0, 3.5);
SDLTest_AssertCheck(0.0 == result,
"Pow(%f,%f), expected %f, got %f",
0.0, 3.5, 0.0, result);
result = SDL_pow(0.0, 4.0);
SDLTest_AssertCheck(0.0 == result,
"Pow(%f,%f), expected %f, got %f",
0.0, 4.0, 0.0, result);
return TEST_COMPLETED;
}
/* Remaining tests */
/**
* Inputs: values within the domain of the function.
* Expected: the correct result is returned.
*/
static int
pow_regularCases(void *args)
{
const dd_to_d regular_cases[] = {
{ -391.25, -2.0, 0.00000653267870448815438463212659780943170062528224661946296691894531250 },
{ -72.3, 12.0, 20401381050275984310272.0 },
{ -5.0, 3.0, -125.0 },
{ 3.0, 2.5, 15.58845726811989607085706666111946105957031250 },
{ 39.23, -1.5, 0.0040697950366865498147972424192175822099670767784118652343750 },
{ 478.972, 12.125, 315326359630449587856007411793920.0 }
};
return helper_ddtod("Pow", SDL_pow, regular_cases, SDL_arraysize(regular_cases));
}
/**
* Inputs: (2.0, x), with x in range [0, 8].
* Expected: the correct result is returned.
*/
static int
pow_powerOfTwo(void *args)
{
const dd_to_d power_of_two_cases[] = {
{ 2.0, 1.0, 2.0 },
{ 2.0, 2.0, 4.0 },
{ 2.0, 3.0, 8.0 },
{ 2.0, 4.0, 16.0 },
{ 2.0, 5.0, 32.0 },
{ 2.0, 6.0, 64.0 },
{ 2.0, 7.0, 128.0 },
{ 2.0, 8.0, 256.0 },
};
return helper_ddtod("Pow", SDL_pow, power_of_two_cases, SDL_arraysize(power_of_two_cases));
}
/**
* Inputs: values in the range [0, UINT32_MAX] to the power of +/-0.0.
* Expected: 1.0 is always returned.
*/
static int
pow_rangeTest(void *args)
{
Uint32 i;
double test_value = 0.0;
SDLTest_AssertPass("Pow: Testing a range of %u values with steps of %" SDL_PRIu32,
RANGE_TEST_ITERATIONS,
RANGE_TEST_STEP);
for (i = 0; i < RANGE_TEST_ITERATIONS; i++, test_value += RANGE_TEST_STEP) {
double result;
/* These are tested elsewhere */
if (isnan(test_value) || isinf(test_value)) {
continue;
}
/* Only log failures to save performances */
result = SDL_pow(test_value, 0.0);
if (result != 1.0) {
SDLTest_AssertCheck(SDL_FALSE,
"Pow(%.1f,%.1f), expected %.1f, got %.1f",
test_value, 1.0, 1.0, result);
return TEST_ABORTED;
}
result = SDL_pow(test_value, -0.0);
if (result != 1.0) {
SDLTest_AssertCheck(SDL_FALSE,
"Pow(%.1f,%.1f), expected %.1f, got %.1f",
test_value, -0.0, 1.0, result);
return TEST_ABORTED;
}
}
return TEST_COMPLETED;
}
/* SDL_sqrt tests functions */
/**
* Input: Positive Infinity.
* Expected: Positive Infinity is returned.
*/
static int
sqrt_infCase(void *args)
{
const double result = SDL_sqrt(INFINITY);
SDLTest_AssertCheck(INFINITY == result,
"Sqrt(%f), expected %f, got %f",
INFINITY, INFINITY, result);
return TEST_COMPLETED;
}
/**
* Input: NAN.
* Expected: NAN is returned.
*/
static int
sqrt_nanCase(void *args)
{
const double result = SDL_sqrt(NAN);
SDLTest_AssertCheck(isnan(result),
"Sqrt(%f), expected %f, got %f",
NAN, NAN, result);
return TEST_COMPLETED;
}
/**
* Inputs: values outside the domain of the function.
* Expected: NAN is returned.
*/
static int
sqrt_outOfDomainCases(void *args)
{
double result;
result = SDL_sqrt(-1.0);
SDLTest_AssertCheck(isnan(result),
"Sqrt(%f), expected %f, got %f",
-1.0, NAN, result);
result = SDL_sqrt(-12345.6789);
SDLTest_AssertCheck(isnan(result),
"Sqrt(%f), expected %f, got %f",
-12345.6789, NAN, result);
result = SDL_sqrt(-INFINITY);
SDLTest_AssertCheck(isnan(result),
"Sqrt(%f), expected %f, got %f",
-INFINITY, NAN, result);
return TEST_COMPLETED;
}
/**
* Inputs: +/-0.0 and 1.0.
* Expected: the input value is returned as-is.
*/
static int
sqrt_baseCases(void *args)
{
const d_to_d base_cases[] = {
{ -0.0, -0.0 },
{ 0.0, 0.0 },
{ 1.0, 1.0 }
};
return helper_dtod("Sqrt", SDL_sqrt, base_cases, SDL_arraysize(base_cases));
}
/**
* Inputs: values within the domain of the function.
* Expected: the correct result is returned.
*/
static int
sqrt_regularCases(void *args)
{
const d_to_d regular_cases[] = {
{ 4.0, 2.0 },
{ 9.0, 3.0 },
{ 27.2, 5.21536192416211896727418206864967942237854003906250 },
{ 240.250, 15.5 },
{ 1337.0, 36.565010597564445049556525191292166709899902343750 },
{ 2887.12782400000014604302123188972473144531250, 53.732 },
{ 65600.0156250, 256.125 }
};
return helper_dtod_inexact("Sqrt", SDL_sqrt, regular_cases, SDL_arraysize(regular_cases));
}
/* SDL_scalbn tests functions */
/**
* Input: (+/-Infinity, 1).
* Expected: Infinity is returned as-is.
*/
static int
scalbn_infCases(void *args)
{
double result;
result = SDL_scalbn(INFINITY, 1);
SDLTest_AssertCheck(INFINITY == result,
"Scalbn(%f,%d), expected %f, got %f",
INFINITY, 1, INFINITY, result);
result = SDL_scalbn(-INFINITY, 1);
SDLTest_AssertCheck(-INFINITY == result,
"Scalbn(%f,%d), expected %f, got %f",
-INFINITY, 1, -INFINITY, result);
return TEST_COMPLETED;
}
/**
* Inputs: (+/-0.0, 1).
* Expected: Zero is returned as-is.
*/
static int
scalbn_baseZeroCases(void *args)
{
double result;
result = SDL_scalbn(0.0, 1);
SDLTest_AssertCheck(0.0 == result,
"Scalbn(%f,%d), expected %f, got %f",
0.0, 1, 0.0, result);
result = SDL_scalbn(-0.0, 1);
SDLTest_AssertCheck(-0.0 == result,
"Scalbn(%f,%d), expected %f, got %f",
-0.0, 1, -0.0, result);
return TEST_COMPLETED;
}
/**
* Input: (x, 0)
* Expected: x is returned as-is.
*/
static int
scalbn_expZeroCase(void *args)
{
const double result = SDL_scalbn(42.0, 0);
SDLTest_AssertCheck(42.0 == result,
"Scalbn(%f,%d), expected %f, got %f",
42.0, 0, 42.0, result);
return TEST_COMPLETED;
}
/**
* Input: (NAN, x).
* Expected: NAN is returned.
*/
static int
scalbn_nanCase(void *args)
{
const double result = SDL_scalbn(NAN, 2);
SDLTest_AssertCheck(isnan(result),
"Scalbn(%f,%d), expected %f, got %f",
NAN, 2, NAN, result);
return TEST_COMPLETED;
}
/**
* Inputs: values inside the domain of the function.
* Expected: the correct result is returned.
* NOTE: This test depends on SDL_pow and FLT_RADIX.
*/
static int
scalbn_regularCases(void *args)
{
double result, expected;
result = SDL_scalbn(2.0, 2);
expected = 2.0 * SDL_pow(FLT_RADIX, 2);
SDLTest_AssertCheck(result == expected,
"Scalbn(%f,%d), expected %f, got %f",
2.0, 2, expected, result);
result = SDL_scalbn(1.0, 13);
expected = 1.0 * SDL_pow(FLT_RADIX, 13);
SDLTest_AssertCheck(result == expected,
"Scalbn(%f,%d), expected %f, got %f",
1.0, 13, expected, result);
result = SDL_scalbn(2.0, -5);
expected = 2.0 * SDL_pow(FLT_RADIX, -5);
SDLTest_AssertCheck(result == expected,
"Scalbn(%f,%d), expected %f, got %f",
2.0, -5, expected, result);
result = SDL_scalbn(-1.0, -13);
expected = -1.0 * SDL_pow(FLT_RADIX, -13);
SDLTest_AssertCheck(result == expected,
"Scalbn(%f,%d), expected %f, got %f",
-1.0, -13, expected, result);
return TEST_COMPLETED;
}
/* SDL_cos tests functions */
/**
* Inputs: +/-Infinity.
* Expected: NAN is returned.
*/
static int
cos_infCases(void *args)
{
double result;
result = SDL_cos(INFINITY);
SDLTest_AssertCheck(isnan(result),
"Cos(%f), expected %f, got %f",
INFINITY, NAN, result);
result = SDL_cos(-INFINITY);
SDLTest_AssertCheck(isnan(result),
"Cos(%f), expected %f, got %f",
-INFINITY, NAN, result);
return TEST_COMPLETED;
}
/**
* Input: NAN.
* Expected: NAN is returned.
*/
static int
cos_nanCase(void *args)
{
const double result = SDL_cos(NAN);
SDLTest_AssertCheck(isnan(result),
"Cos(%f), expected %f, got %f",
NAN, NAN, result);
return TEST_COMPLETED;
}
/**
* Inputs: +/-0.0 and +/-Pi.
* Expected: +1.0 and -1.0 respectively.
*/
static int
cos_regularCases(void *args)
{
const d_to_d regular_cases[] = {
{ -M_PI, -1.0 },
{ -0.0, 1.0 },
{ 0.0, 1.0 },
{ M_PI, -1.0 }
};
return helper_dtod("Cos", SDL_cos, regular_cases, SDL_arraysize(regular_cases));
}
/**
* Inputs: Angles between 1/10 and 9/10 of Pi (positive and negative).
* Expected: The correct result is returned (+/-EPSILON).
*/
static int
cos_precisionTest(void *args)
{
const d_to_d precision_cases[] = {
{ M_PI * 1.0 / 10.0, 0.9510565162 },
{ M_PI * 2.0 / 10.0, 0.8090169943 },
{ M_PI * 3.0 / 10.0, 0.5877852522 },
{ M_PI * 4.0 / 10.0, 0.3090169943 },
{ M_PI * 5.0 / 10.0, 0.0 },
{ M_PI * 6.0 / 10.0, -0.3090169943 },
{ M_PI * 7.0 / 10.0, -0.5877852522 },
{ M_PI * 8.0 / 10.0, -0.8090169943 },
{ M_PI * 9.0 / 10.0, -0.9510565162 },
{ M_PI * -1.0 / 10.0, 0.9510565162 },
{ M_PI * -2.0 / 10.0, 0.8090169943 },
{ M_PI * -3.0 / 10.0, 0.5877852522 },
{ M_PI * -4.0 / 10.0, 0.3090169943 },
{ M_PI * -5.0 / 10.0, 0.0 },
{ M_PI * -6.0 / 10.0, -0.3090169943 },
{ M_PI * -7.0 / 10.0, -0.5877852522 },
{ M_PI * -8.0 / 10.0, -0.8090169943 },
{ M_PI * -9.0 / 10.0, -0.9510565162 }
};
return helper_dtod_inexact("Cos", SDL_cos, precision_cases, SDL_arraysize(precision_cases));
}
/**
* Inputs: Values in the range [0, UINT32_MAX].
* Expected: A value between 0 and 1 is returned.
*/
static int
cos_rangeTest(void *args)
{
Uint32 i;
double test_value = 0.0;
SDLTest_AssertPass("Cos: Testing a range of %u values with steps of %" SDL_PRIu32,
RANGE_TEST_ITERATIONS,
RANGE_TEST_STEP);
for (i = 0; i < RANGE_TEST_ITERATIONS; i++, test_value += RANGE_TEST_STEP) {
double result;
/* These are tested elsewhere */
if (isnan(test_value) || isinf(test_value)) {
continue;
}
/* Only log failures to save performances */
result = SDL_cos(test_value);
if (result < -1.0 || result > 1.0) {
SDLTest_AssertCheck(SDL_FALSE,
"Cos(%.1f), expected [%.1f,%.1f], got %.1f",
test_value, -1.0, 1.0, result);
return TEST_ABORTED;
}
}
return TEST_COMPLETED;
}
/* SDL_sin tests functions */
/**
* Inputs: +/-Infinity.
* Expected: NAN is returned.
*/
static int
sin_infCases(void *args)
{
double result;
result = SDL_sin(INFINITY);
SDLTest_AssertCheck(isnan(result),
"Sin(%f), expected %f, got %f",
INFINITY, NAN, result);
result = SDL_sin(-INFINITY);
SDLTest_AssertCheck(isnan(result),
"Sin(%f), expected %f, got %f",
-INFINITY, NAN, result);
return TEST_COMPLETED;
}
/**
* Input: NAN.
* Expected: NAN is returned.
*/
static int
sin_nanCase(void *args)
{
const double result = SDL_sin(NAN);
SDLTest_AssertCheck(isnan(result),
"Sin(%f), expected %f, got %f",
NAN, NAN, result);
return TEST_COMPLETED;
}
/**
* Inputs: +/-0.0 and +/-Pi/2.
* Expected: +/-0.0 and +/-1.0 respectively.
*/
static int
sin_regularCases(void *args)
{
const d_to_d regular_cases[] = {
{ -M_PI / 2, -1.0 },
{ -0.0, -0.0 },
{ 0.0, 0.0 },
{ M_PI / 2, 1.0 }
};
return helper_dtod("Sin", SDL_sin, regular_cases, SDL_arraysize(regular_cases));
}
/**
* Inputs: Angles between 1/10 and 10/10 of Pi (positive and negative).
* Expected: The correct result is returned (+/-EPSILON).
* NOTE: +/-Pi/2 is tested in the regular cases.
*/
static int
sin_precisionTest(void *args)
{
const d_to_d precision_cases[] = {
{ M_PI * 1.0 / 10.0, 0.3090169943 },
{ M_PI * 2.0 / 10.0, 0.5877852522 },
{ M_PI * 3.0 / 10.0, 0.8090169943 },
{ M_PI * 4.0 / 10.0, 0.9510565162 },
{ M_PI * 6.0 / 10.0, 0.9510565162 },
{ M_PI * 7.0 / 10.0, 0.8090169943 },
{ M_PI * 8.0 / 10.0, 0.5877852522 },
{ M_PI * 9.0 / 10.0, 0.3090169943 },
{ M_PI, 0.0 },
{ M_PI * -1.0 / 10.0, -0.3090169943 },
{ M_PI * -2.0 / 10.0, -0.5877852522 },
{ M_PI * -3.0 / 10.0, -0.8090169943 },
{ M_PI * -4.0 / 10.0, -0.9510565162 },
{ M_PI * -6.0 / 10.0, -0.9510565162 },
{ M_PI * -7.0 / 10.0, -0.8090169943 },
{ M_PI * -8.0 / 10.0, -0.5877852522 },
{ M_PI * -9.0 / 10.0, -0.3090169943 },
{ -M_PI, 0.0 },
};
return helper_dtod_inexact("Sin", SDL_sin, precision_cases, SDL_arraysize(precision_cases));
}
/**
* Inputs: Values in the range [0, UINT32_MAX].
* Expected: A value between 0 and 1 is returned.
*/
static int
sin_rangeTest(void *args)
{
Uint32 i;
double test_value = 0.0;
SDLTest_AssertPass("Sin: Testing a range of %u values with steps of %" SDL_PRIu32,
RANGE_TEST_ITERATIONS,
RANGE_TEST_STEP);
for (i = 0; i < RANGE_TEST_ITERATIONS; i++, test_value += RANGE_TEST_STEP) {
double result;
/* These are tested elsewhere */
if (isnan(test_value) || isinf(test_value)) {
continue;
}
/* Only log failures to save performances */
result = SDL_sin(test_value);
if (result < -1.0 || result > 1.0) {
SDLTest_AssertCheck(SDL_FALSE,
"Sin(%.1f), expected [%.1f,%.1f], got %.1f",
test_value, -1.0, 1.0, result);
return TEST_ABORTED;
}
}
return TEST_COMPLETED;
}
/* SDL_tan tests functions */
/**
* Inputs: +/-Infinity.
* Expected: NAN is returned.
*/
static int
tan_infCases(void *args)
{
double result;
result = SDL_tan(INFINITY);
SDLTest_AssertCheck(isnan(result),
"Tan(%f), expected %f, got %f",
INFINITY, NAN, result);
result = SDL_tan(-INFINITY);
SDLTest_AssertCheck(isnan(result),
"Tan(%f), expected %f, got %f",
-INFINITY, NAN, result);
return TEST_COMPLETED;
}
/**
* Input: NAN.
* Expected: NAN is returned.
*/
static int
tan_nanCase(void *args)
{
const double result = SDL_tan(NAN);
SDLTest_AssertCheck(isnan(result),
"Tan(%f), expected %f, got %f",
NAN, NAN, result);
return TEST_COMPLETED;
}
/**
* Inputs: +/-0.0.
* Expected: Zero is returned as-is.
*/
static int
tan_zeroCases(void *args)
{
const d_to_d regular_cases[] = {
{ -0.0, -0.0 },
{ 0.0, 0.0 }
};
return helper_dtod("Tan", SDL_tan, regular_cases, SDL_arraysize(regular_cases));
}
/**
* Inputs: Angles between 1/11 and 10/11 of Pi (positive and negative).
* Expected: The correct result is returned (+/-EPSILON).
* NOTE: +/-Pi/2 is intentionally avoided as it returns garbage values.
*/
static int
tan_precisionTest(void *args)
{
const d_to_d precision_cases[] = {
{ M_PI * 1.0 / 11.0, 0.2936264929 },
{ M_PI * 2.0 / 11.0, 0.6426609771 },
{ M_PI * 3.0 / 11.0, 1.1540615205 },
{ M_PI * 4.0 / 11.0, 2.1896945629 },
{ M_PI * 5.0 / 11.0, 6.9551527717 },
{ M_PI * 6.0 / 11.0, -6.9551527717 },
{ M_PI * 7.0 / 11.0, -2.1896945629 },
{ M_PI * 8.0 / 11.0, -1.1540615205 },
{ M_PI * 9.0 / 11.0, -0.6426609771 },
{ M_PI * 10.0 / 11.0, -0.2936264929 },
{ M_PI * -1.0 / 11.0, -0.2936264929 },
{ M_PI * -2.0 / 11.0, -0.6426609771 },
{ M_PI * -3.0 / 11.0, -1.1540615205 },
{ M_PI * -4.0 / 11.0, -2.1896945629 },
{ M_PI * -5.0 / 11.0, -6.9551527717 },
{ M_PI * -6.0 / 11.0, 6.9551527717 },
{ M_PI * -7.0 / 11.0, 2.1896945629 },
{ M_PI * -8.0 / 11.0, 1.1540615205 },
{ M_PI * -9.0 / 11.0, 0.6426609771 },
{ M_PI * -10.0 / 11.0, 0.2936264929 }
};
return helper_dtod_inexact("Tan", SDL_tan, precision_cases, SDL_arraysize(precision_cases));
}
/* SDL_acos tests functions */
/**
* Inputs: +/-1.0.
* Expected: 0.0 and Pi respectively.
*/
static int
acos_limitCases(void *args)
{
double result;
result = SDL_acos(1.0);
SDLTest_AssertCheck(0.0 == result,
"Acos(%f), expected %f, got %f",
1.0, 0.0, result);
result = SDL_acos(-1.0);
SDLTest_AssertCheck(M_PI == result,
"Acos(%f), expected %f, got %f",
-1.0, M_PI, result);
return TEST_COMPLETED;
}
/**
* Inputs: Values outside the domain of [-1, 1].
* Expected: NAN is returned.
*/
static int
acos_outOfDomainCases(void *args)
{
double result;
result = SDL_acos(1.1);
SDLTest_AssertCheck(isnan(result),
"Acos(%f), expected %f, got %f",
1.1, NAN, result);
result = SDL_acos(-1.1);
SDLTest_AssertCheck(isnan(result),
"Acos(%f), expected %f, got %f",
-1.1, NAN, result);
return TEST_COMPLETED;
}
/**
* Input: NAN.
* Expected: NAN is returned.
*/
static int
acos_nanCase(void *args)
{
const double result = SDL_acos(NAN);
SDLTest_AssertCheck(isnan(result),
"Acos(%f), expected %f, got %f",
NAN, NAN, result);
return TEST_COMPLETED;
}
/**
* Inputs: Values between -0.9 and 0.9 with steps of 0.1.
* Expected: The correct result is returned (+/-EPSILON).
*/
static int
acos_precisionTest(void *args)
{
const d_to_d precision_cases[] = {
{ 0.9, 0.4510268117 },
{ 0.8, 0.6435011087 },
{ 0.7, 0.7953988301 },
{ 0.6, 0.9272952180 },
{ 0.5, 1.0471975511 },
{ 0.4, 1.1592794807 },
{ 0.3, 1.2661036727 },
{ 0.2, 1.3694384060 },
{ 0.1, 1.4706289056 },
{ 0.0, 1.5707963267 },
{ -0.0, 1.5707963267 },
{ -0.1, 1.6709637479 },
{ -0.2, 1.7721542475 },
{ -0.3, 1.8754889808 },
{ -0.4, 1.9823131728 },
{ -0.5, 2.0943951023 },
{ -0.6, 2.2142974355 },
{ -0.7, 2.3461938234 },
{ -0.8, 2.4980915447 },
{ -0.9, 2.6905658417 },
};
return helper_dtod_inexact("Acos", SDL_acos, precision_cases, SDL_arraysize(precision_cases));
}
/* SDL_asin tests functions */
/**
* Inputs: +/-1.0.
* Expected: +/-Pi/2 is returned.
*/
static int
asin_limitCases(void *args)
{
double result;
result = SDL_asin(1.0);
SDLTest_AssertCheck(M_PI / 2.0 == result,
"Asin(%f), expected %f, got %f",
1.0, M_PI / 2.0, result);
result = SDL_asin(-1.0);
SDLTest_AssertCheck(-M_PI / 2.0 == result,
"Asin(%f), expected %f, got %f",
-1.0, -M_PI / 2.0, result);
return TEST_COMPLETED;
}
/**
* Inputs: Values outside the domain of [-1, 1].
* Expected: NAN is returned.
*/
static int
asin_outOfDomainCases(void *args)
{
double result;
result = SDL_asin(1.1);
SDLTest_AssertCheck(isnan(result),
"Asin(%f), expected %f, got %f",
1.1, NAN, result);
result = SDL_asin(-1.1);
SDLTest_AssertCheck(isnan(result),
"Asin(%f), expected %f, got %f",
-1.1, NAN, result);
return TEST_COMPLETED;
}
/**
* Input: NAN.
* Expected: NAN is returned.
*/
static int
asin_nanCase(void *args)
{
const double result = SDL_asin(NAN);
SDLTest_AssertCheck(isnan(result),
"Asin(%f), expected %f, got %f",
NAN, NAN, result);
return TEST_COMPLETED;
}
/**
* Inputs: Values between -0.9 and 0.9 with steps of 0.1.
* Expected: The correct result is returned (+/-EPSILON).
*/
static int
asin_precisionTest(void *args)
{
const d_to_d precision_cases[] = {
{ 0.9, 1.1197695149 },
{ 0.8, 0.9272952180 },
{ 0.7, 0.7753974966 },
{ 0.6, 0.6435011087 },
{ 0.5, 0.5235987755 },
{ 0.4, 0.4115168460 },
{ 0.3, 0.3046926540 },
{ 0.2, 0.2013579207 },
{ 0.1, 0.1001674211 },
{ 0.0, 0.0 },
{ -0.0, -0.0 },
{ -0.1, -0.1001674211 },
{ -0.2, -0.2013579207 },
{ -0.3, -0.3046926540 },
{ -0.4, -0.4115168460 },
{ -0.5, -0.5235987755 },
{ -0.6, -0.6435011087 },
{ -0.7, -0.7753974966 },
{ -0.8, -0.9272952180 },
{ -0.9, -1.1197695149 }
};
return helper_dtod_inexact("Asin", SDL_asin, precision_cases, SDL_arraysize(precision_cases));
}
/* SDL_atan tests functions */
/**
* Inputs: +/-Infinity.
* Expected: +/-Pi/2 is returned.
*/
static int
atan_limitCases(void *args)
{
double result;
result = SDL_atan(INFINITY);
SDLTest_AssertCheck((M_PI / 2.0) - EPSILON <= result &&
result <= (M_PI / 2.0) + EPSILON,
"Atan(%f), expected %f, got %f",
INFINITY, M_PI / 2.0, result);
result = SDL_atan(-INFINITY);
SDLTest_AssertCheck((-M_PI / 2.0) - EPSILON <= result &&
result <= (-M_PI / 2.0) + EPSILON,
"Atan(%f), expected %f, got %f",
-INFINITY, -M_PI / 2.0, result);
return TEST_COMPLETED;
}
/**
* Inputs: +/-0.0.
* Expected: Zero is returned as-is.
*/
static int
atan_zeroCases(void *args)
{
double result;
result = SDL_atan(0.0);
SDLTest_AssertCheck(0.0 == result,
"Atan(%f), expected %f, got %f",
0.0, 0.0, result);
result = SDL_atan(-0.0);
SDLTest_AssertCheck(-0.0 == result,
"Atan(%f), expected %f, got %f",
-0.0, -0.0, result);
return TEST_COMPLETED;
}
/**
* Input: NAN.
* Expected: NAN is returned.
*/
static int
atan_nanCase(void *args)
{
const double result = SDL_atan(NAN);
SDLTest_AssertCheck(isnan(result),
"Atan(%f), expected %f, got %f",
NAN, NAN, result);
return TEST_COMPLETED;
}
/**
* Inputs: Values corresponding to angles between 9Pi/20 and -9Pi/20 with steps of Pi/20.
* Expected: The correct result is returned (+/-EPSILON).
*/
static int
atan_precisionTest(void *args)
{
const d_to_d precision_cases[] = {
{ 6.313751514675041, 1.4137166941 },
{ 3.0776835371752527, 1.2566370614 },
{ 1.9626105055051504, 1.0995574287 },
{ 1.3763819204711734, 0.9424777960 },
{ 1.0, 0.7853981633 },
{ 0.7265425280053609, 0.6283185307 },
{ 0.5095254494944288, 0.4712388980 },
{ 0.3249196962329063, 0.3141592653 },
{ 0.15838444032453627, 0.1570796326 },
{ -0.15838444032453627, -0.1570796326 },
{ -0.3249196962329063, -0.3141592653 },
{ -0.5095254494944288, -0.4712388980 },
{ -0.7265425280053609, -0.6283185307 },
{ -1.0, -0.7853981633 },
{ -1.3763819204711734, -0.9424777960 },
{ -1.9626105055051504, -1.0995574287 },
{ -3.0776835371752527, -1.2566370614 },
{ -6.313751514675041, -1.4137166941 },
};
return helper_dtod_inexact("Atan", SDL_atan, precision_cases, SDL_arraysize(precision_cases));
}
/* SDL_atan2 tests functions */
/* Zero cases */
/**
* Inputs: (+/-0.0, +/-0.0).
* Expected:
* - Zero if the second argument is positive zero.
* - Pi if the second argument is negative zero.
* - The sign is inherited from the first argument.
*/
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));
}
/**
* Inputs: (+/-0.0, +/-1.0).
* Expected:
* - Zero if the second argument is positive.
* - Pi if the second argument is negative.
* - The sign is inherited from the first argument.
*/
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));
}
/**
* Inputs: (+/-1.0, +/-0.0).
* Expected: Pi/2 with the sign of the first argument.
*/
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 */
/**
* Inputs: (+/-Infinity, +/-Infinity).
* Expected:
* - (+int, +inf) -> Pi/4,
* - (+int, -inf) -> 3Pi/4,
* - (-int, +inf) -> -Pi/4,
* - (-int, -inf) -> Pi.
*/
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;
}
/**
* Inputs: (+/-Infinity, +/-1.0).
* Expected: Pi/2 with the sign of the first argument.
*/
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;
}
/**
* Inputs: (+/-1.0, +/-Infinity).
* Expected:
* - (+/-1.0, +inf) -> +/-0.0
* - (+/-1.0, -inf) -> +/-Pi.
*/
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 */
/**
* Inputs: NAN as either or both of the arguments.
* Expected: NAN is returned.
*/
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;
}
/**
* Inputs: (y, x) with x and y positive.
* Expected: Angle in the top right quadrant.
*/
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));
}
/**
* Inputs: (y, x) with x negative and y positive.
* Expected: Angle in the top left quadrant.
*/
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));
}
/**
* Inputs: (y, x) with x positive and y negative.
* Expected: Angle in the bottom right quadrant.
*/
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));
}
/**
* Inputs: (y, x) with x and y negative.
* Expected: Angle in the bottom left quadrant.
*/
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 */
static const SDLTest_TestCaseReference floorTestInf = {
(SDLTest_TestCaseFp) floor_infCases, "floor_infCases",
"Checks positive and negative infinity", TEST_ENABLED
};
static const SDLTest_TestCaseReference floorTestZero = {
(SDLTest_TestCaseFp) floor_zeroCases, "floor_zeroCases",
"Checks positive and negative zero", TEST_ENABLED
};
static const SDLTest_TestCaseReference floorTestNan = {
(SDLTest_TestCaseFp) floor_nanCase, "floor_nanCase",
"Checks NAN", TEST_ENABLED
};
static const SDLTest_TestCaseReference floorTestRound = {
(SDLTest_TestCaseFp) floor_roundNumbersCases, "floor_roundNumberCases",
"Checks a set of integral values", TEST_ENABLED
};
static const SDLTest_TestCaseReference floorTestFraction = {
(SDLTest_TestCaseFp) floor_fractionCases, "floor_fractionCases",
"Checks a set of fractions", TEST_ENABLED
};
static const SDLTest_TestCaseReference floorTestRange = {
(SDLTest_TestCaseFp) floor_rangeTest, "floor_rangeTest",
"Checks a range of positive integer", TEST_ENABLED
};
/* SDL_ceil test cases */
static const SDLTest_TestCaseReference ceilTestInf = {
(SDLTest_TestCaseFp) ceil_infCases, "ceil_infCases",
"Checks positive and negative infinity", TEST_ENABLED
};
static const SDLTest_TestCaseReference ceilTestZero = {
(SDLTest_TestCaseFp) ceil_zeroCases, "ceil_zeroCases",
"Checks positive and negative zero", TEST_ENABLED
};
static const SDLTest_TestCaseReference ceilTestNan = {
(SDLTest_TestCaseFp) ceil_nanCase, "ceil_nanCase",
"Checks NAN", TEST_ENABLED
};
static const SDLTest_TestCaseReference ceilTestRound = {
(SDLTest_TestCaseFp) ceil_roundNumbersCases, "ceil_roundNumberCases",
"Checks a set of integral values", TEST_ENABLED
};
static const SDLTest_TestCaseReference ceilTestFraction = {
(SDLTest_TestCaseFp) ceil_fractionCases, "ceil_fractionCases",
"Checks a set of fractions", TEST_ENABLED
};
static const SDLTest_TestCaseReference ceilTestRange = {
(SDLTest_TestCaseFp) ceil_rangeTest, "ceil_rangeTest",
"Checks a range of positive integer", TEST_ENABLED
};
/* SDL_trunc test cases */
static const SDLTest_TestCaseReference truncTestInf = {
(SDLTest_TestCaseFp) trunc_infCases, "trunc_infCases",
"Checks positive and negative infinity", TEST_ENABLED
};
static const SDLTest_TestCaseReference truncTestZero = {
(SDLTest_TestCaseFp) trunc_zeroCases, "trunc_zeroCases",
"Checks positive and negative zero", TEST_ENABLED
};
static const SDLTest_TestCaseReference truncTestNan = {
(SDLTest_TestCaseFp) trunc_nanCase, "trunc_nanCase",
"Checks NAN", TEST_ENABLED
};
static const SDLTest_TestCaseReference truncTestRound = {
(SDLTest_TestCaseFp) trunc_roundNumbersCases, "trunc_roundNumberCases",
"Checks a set of integral values", TEST_ENABLED
};
static const SDLTest_TestCaseReference truncTestFraction = {
(SDLTest_TestCaseFp) trunc_fractionCases, "trunc_fractionCases",
"Checks a set of fractions", TEST_ENABLED
};
static const SDLTest_TestCaseReference truncTestRange = {
(SDLTest_TestCaseFp) trunc_rangeTest, "trunc_rangeTest",
"Checks a range of positive integer", TEST_ENABLED
};
/* SDL_round test cases */
static const SDLTest_TestCaseReference roundTestInf = {
(SDLTest_TestCaseFp) round_infCases, "round_infCases",
"Checks positive and negative infinity", TEST_ENABLED
};
static const SDLTest_TestCaseReference roundTestZero = {
(SDLTest_TestCaseFp) round_zeroCases, "round_zeroCases",
"Checks positive and negative zero", TEST_ENABLED
};
static const SDLTest_TestCaseReference roundTestNan = {
(SDLTest_TestCaseFp) round_nanCase, "round_nanCase",
"Checks NAN", TEST_ENABLED
};
static const SDLTest_TestCaseReference roundTestRound = {
(SDLTest_TestCaseFp) round_roundNumbersCases, "round_roundNumberCases",
"Checks a set of integral values", TEST_ENABLED
};
static const SDLTest_TestCaseReference roundTestFraction = {
(SDLTest_TestCaseFp) round_fractionCases, "round_fractionCases",
"Checks a set of fractions", TEST_ENABLED
};
static const SDLTest_TestCaseReference roundTestRange = {
(SDLTest_TestCaseFp) round_rangeTest, "round_rangeTest",
"Checks a range of positive integer", TEST_ENABLED
};
/* SDL_fabs test cases */
static const SDLTest_TestCaseReference fabsTestInf = {
(SDLTest_TestCaseFp) fabs_infCases, "fabs_infCases",
"Checks positive and negative infinity", TEST_ENABLED
};
static const SDLTest_TestCaseReference fabsTestZero = {
(SDLTest_TestCaseFp) fabs_zeroCases, "fabs_zeroCases",
"Checks positive and negative zero", TEST_ENABLED
};
static const SDLTest_TestCaseReference fabsTestNan = {
(SDLTest_TestCaseFp) fabs_nanCase, "fabs_nanCase",
"Checks NAN", TEST_ENABLED
};
static const SDLTest_TestCaseReference fabsTestRange = {
(SDLTest_TestCaseFp) fabs_rangeTest, "fabs_rangeTest",
"Checks a range of positive integer", TEST_ENABLED
};
/* SDL_copysign test cases */
static const SDLTest_TestCaseReference copysignTestInf = {
(SDLTest_TestCaseFp) copysign_infCases, "copysign_infCases",
"Checks positive and negative infinity", TEST_ENABLED
};
static const SDLTest_TestCaseReference copysignTestZero = {
(SDLTest_TestCaseFp) copysign_zeroCases, "copysign_zeroCases",
"Checks positive and negative zero", TEST_ENABLED
};
static const SDLTest_TestCaseReference copysignTestNan = {
(SDLTest_TestCaseFp) copysign_nanCases, "copysign_nanCases",
"Checks NANs", TEST_ENABLED
};
static const SDLTest_TestCaseReference copysignTestRange = {
(SDLTest_TestCaseFp) copysign_rangeTest, "copysign_rangeTest",
"Checks a range of positive integer", TEST_ENABLED
};
/* SDL_fmod test cases */
static const SDLTest_TestCaseReference fmodTestDivOfInf = {
(SDLTest_TestCaseFp) fmod_divOfInfCases, "fmod_divOfInfCases",
"Checks division of positive and negative infinity", TEST_ENABLED
};
static const SDLTest_TestCaseReference fmodTestDivByInf = {
(SDLTest_TestCaseFp) fmod_divByInfCases, "fmod_divByInfCases",
"Checks division by positive and negative infinity", TEST_ENABLED
};
static const SDLTest_TestCaseReference fmodTestDivOfZero = {
(SDLTest_TestCaseFp) fmod_divOfZeroCases, "fmod_divOfZeroCases",
"Checks division of positive and negative zero", TEST_ENABLED
};
static const SDLTest_TestCaseReference fmodTestDivByZero = {
(SDLTest_TestCaseFp) fmod_divByZeroCases, "fmod_divByZeroCases",
"Checks division by positive and negative zero", TEST_ENABLED
};
static const SDLTest_TestCaseReference fmodTestNan = {
(SDLTest_TestCaseFp) fmod_nanCases, "fmod_nanCases",
"Checks NANs", TEST_ENABLED
};
static const SDLTest_TestCaseReference fmodTestRegular = {
(SDLTest_TestCaseFp) fmod_regularCases, "fmod_regularCases",
"Checks a set of regular values", TEST_ENABLED
};
static const SDLTest_TestCaseReference fmodTestRange = {
(SDLTest_TestCaseFp) fmod_rangeTest, "fmod_rangeTest",
"Checks a range of positive integer", TEST_ENABLED
};
/* SDL_exp test cases */
static const SDLTest_TestCaseReference expTestInf = {
(SDLTest_TestCaseFp) exp_infCases, "exp_infCases",
"Checks positive and negative infinity", TEST_ENABLED
};
static const SDLTest_TestCaseReference expTestZero = {
(SDLTest_TestCaseFp) exp_zeroCases, "exp_zeroCases",
"Checks for positive and negative zero", TEST_ENABLED
};
static const SDLTest_TestCaseReference expTestOverflow = {
(SDLTest_TestCaseFp) exp_overflowCase, "exp_overflowCase",
"Checks for overflow", TEST_ENABLED
};
static const SDLTest_TestCaseReference expTestBase = {
(SDLTest_TestCaseFp) exp_baseCase, "exp_baseCase",
"Checks the base case", TEST_ENABLED
};
static const SDLTest_TestCaseReference expTestRegular = {
(SDLTest_TestCaseFp) exp_regularCases, "exp_regularCases",
"Checks a set of regular values", TEST_ENABLED
};
/* SDL_log test cases */
static const SDLTest_TestCaseReference logTestLimit = {
(SDLTest_TestCaseFp) log_limitCases, "log_limitCases",
"Checks the domain limits", TEST_ENABLED
};
static const SDLTest_TestCaseReference logTestNan = {
(SDLTest_TestCaseFp) log_nanCases, "log_nanCases",
"Checks NAN and negative values", TEST_ENABLED
};
static const SDLTest_TestCaseReference logTestBase = {
(SDLTest_TestCaseFp) log_baseCases, "log_baseCases",
"Checks the base cases", TEST_ENABLED
};
static const SDLTest_TestCaseReference logTestRegular = {
(SDLTest_TestCaseFp) log_regularCases, "log_regularCases",
"Checks a set of regular values", TEST_ENABLED
};
/* SDL_log10 test cases */
static const SDLTest_TestCaseReference log10TestLimit = {
(SDLTest_TestCaseFp) log10_limitCases, "log10_limitCases",
"Checks the domain limits", TEST_ENABLED
};
static const SDLTest_TestCaseReference log10TestNan = {
(SDLTest_TestCaseFp) log10_nanCases, "log10_nanCases",
"Checks NAN and negative values", TEST_ENABLED
};
static const SDLTest_TestCaseReference log10TestBase = {
(SDLTest_TestCaseFp) log10_baseCases, "log10_baseCases",
"Checks the base cases", TEST_ENABLED
};
static const SDLTest_TestCaseReference log10TestRegular = {
(SDLTest_TestCaseFp) log10_regularCases, "log10_regularCases",
"Checks a set of regular values", TEST_ENABLED
};
/* SDL_pow test cases */
static const SDLTest_TestCaseReference powTestExpInf1 = {
(SDLTest_TestCaseFp) pow_baseNOneExpInfCases, "pow_baseNOneExpInfCases",
"Checks for pow(-1, +/-inf)", TEST_ENABLED
};
static const SDLTest_TestCaseReference powTestExpInf2 = {
(SDLTest_TestCaseFp) pow_baseZeroExpNInfCases, "pow_baseZeroExpNInfCases",
"Checks for pow(+/-0, -inf)", TEST_ENABLED
};
static const SDLTest_TestCaseReference powTestExpInf3 = {
(SDLTest_TestCaseFp) pow_expInfCases, "pow_expInfCases",
"Checks for pow(x, +/-inf)", TEST_ENABLED
};
static const SDLTest_TestCaseReference powTestBaseInf1 = {
(SDLTest_TestCaseFp) pow_basePInfCases, "pow_basePInfCases",
"Checks for pow(inf, x)", TEST_ENABLED
};
static const SDLTest_TestCaseReference powTestBaseInf2 = {
(SDLTest_TestCaseFp) pow_baseNInfCases, "pow_baseNInfCases",
"Checks for pow(-inf, x)", TEST_ENABLED
};
static const SDLTest_TestCaseReference powTestNan1 = {
(SDLTest_TestCaseFp) pow_badOperationCase, "pow_badOperationCase",
"Checks for negative finite base and non-integer finite exponent", TEST_ENABLED
};
static const SDLTest_TestCaseReference powTestNan2 = {
(SDLTest_TestCaseFp) pow_base1ExpNanCase, "pow_base1ExpNanCase",
"Checks for pow(1.0, NAN)", TEST_ENABLED
};
static const SDLTest_TestCaseReference powTestNan3 = {
(SDLTest_TestCaseFp) pow_baseNanExp0Cases, "pow_baseNanExp0Cases",
"Checks for pow(NAN, +/-0)", TEST_ENABLED
};
static const SDLTest_TestCaseReference powTestNan4 = {
(SDLTest_TestCaseFp) pow_nanArgsCases, "pow_nanArgsCases",
"Checks for pow(x, y) with either x or y being NAN", TEST_ENABLED
};
static const SDLTest_TestCaseReference powTestZero1 = {
(SDLTest_TestCaseFp) pow_baseNZeroExpOddCases, "pow_baseNZeroExpOddCases",
"Checks for pow(-0.0, y), with y an odd integer.", TEST_ENABLED
};
static const SDLTest_TestCaseReference powTestZero2 = {
(SDLTest_TestCaseFp) pow_basePZeroExpOddCases, "pow_basePZeroExpOddCases",
"Checks for pow(0.0, y), with y an odd integer.", TEST_ENABLED
};
static const SDLTest_TestCaseReference powTestZero3 = {
(SDLTest_TestCaseFp) pow_baseNZeroCases, "pow_baseNZeroCases",
"Checks for pow(-0.0, y), with y finite and even or non-integer number", TEST_ENABLED
};
static const SDLTest_TestCaseReference powTestZero4 = {
(SDLTest_TestCaseFp) pow_basePZeroCases, "pow_basePZeroCases",
"Checks for pow(0.0, y), with y finite and even or non-integer number", TEST_ENABLED
};
static const SDLTest_TestCaseReference powTestRegular = {
(SDLTest_TestCaseFp) pow_regularCases, "pow_regularCases",
"Checks a set of regular values", TEST_ENABLED
};
static const SDLTest_TestCaseReference powTestPowOf2 = {
(SDLTest_TestCaseFp) pow_powerOfTwo, "pow_powerOfTwo",
"Checks the powers of two from 1 to 8", TEST_ENABLED
};
static const SDLTest_TestCaseReference powTestRange = {
(SDLTest_TestCaseFp) pow_rangeTest, "pow_rangeTest",
"Checks a range of positive integer to the power of 0", TEST_ENABLED
};
/* SDL_sqrt test cases */
static const SDLTest_TestCaseReference sqrtTestInf = {
(SDLTest_TestCaseFp) sqrt_infCase, "sqrt_infCase",
"Checks positive infinity", TEST_ENABLED
};
static const SDLTest_TestCaseReference sqrtTestNan = {
(SDLTest_TestCaseFp) sqrt_nanCase, "sqrt_nanCase",
"Checks NAN", TEST_ENABLED
};
static const SDLTest_TestCaseReference sqrtTestDomain = {
(SDLTest_TestCaseFp) sqrt_outOfDomainCases, "sqrt_outOfDomainCases",
"Checks for values out of the domain", TEST_ENABLED
};
static const SDLTest_TestCaseReference sqrtTestBase = {
(SDLTest_TestCaseFp) sqrt_baseCases, "sqrt_baseCases",
"Checks the base cases", TEST_ENABLED
};
static const SDLTest_TestCaseReference sqrtTestRegular = {
(SDLTest_TestCaseFp) sqrt_regularCases, "sqrt_regularCases",
"Checks a set of regular values", TEST_ENABLED
};
/* SDL_scalbn test cases */
static const SDLTest_TestCaseReference scalbnTestInf = {
(SDLTest_TestCaseFp) scalbn_infCases, "scalbn_infCases",
"Checks positive and negative infinity arg", TEST_ENABLED
};
static const SDLTest_TestCaseReference scalbnTestBaseZero = {
(SDLTest_TestCaseFp) scalbn_baseZeroCases, "scalbn_baseZeroCases",
"Checks for positive and negative zero arg", TEST_ENABLED
};
static const SDLTest_TestCaseReference scalbnTestExpZero = {
(SDLTest_TestCaseFp) scalbn_expZeroCase, "scalbn_expZeroCase",
"Checks for zero exp", TEST_ENABLED
};
static const SDLTest_TestCaseReference scalbnTestNan = {
(SDLTest_TestCaseFp) scalbn_nanCase, "scalbn_nanCase",
"Checks NAN", TEST_ENABLED
};
static const SDLTest_TestCaseReference scalbnTestRegular = {
(SDLTest_TestCaseFp) scalbn_regularCases, "scalbn_regularCases",
"Checks a set of regular cases", TEST_ENABLED
};
/* SDL_cos test cases */
static const SDLTest_TestCaseReference cosTestInf = {
(SDLTest_TestCaseFp) cos_infCases, "cos_infCases",
"Checks for positive and negative infinity", TEST_ENABLED
};
static const SDLTest_TestCaseReference cosTestNan = {
(SDLTest_TestCaseFp) cos_nanCase, "cos_nanCase",
"Checks NAN", TEST_ENABLED
};
static const SDLTest_TestCaseReference cosTestRegular = {
(SDLTest_TestCaseFp) cos_regularCases, "cos_regularCases",
"Checks a set of regular cases", TEST_ENABLED
};
static const SDLTest_TestCaseReference cosTestPrecision = {
(SDLTest_TestCaseFp) cos_precisionTest, "cos_precisionTest",
"Checks cosine precision", TEST_ENABLED
};
static const SDLTest_TestCaseReference cosTestRange = {
(SDLTest_TestCaseFp) cos_rangeTest, "cos_rangeTest",
"Checks a rang