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SDL/test/testautomation_math.c
Anonymous Maarten f1f9e27128 testautomation_math: do relative comparison + more precise correct trigonometric values 
If the magnitude of the expected result is small, then we can safely
assume that the actual calculated result matches it to 10 decimal
places.

However, if the magnitude is very large, as it is for some of our exp()
tests, then 10 decimal places represents an unrealistically high level
of precision, for example 24 decimal digits for the test that is
expected to return approximately 6.6e14. IEEE 754 floating point only
has a precision of about 16 decimal digits, causing test failure on
x86 compilers that use an i387 80-bit extended-precision register for
the result and therefore get a slightly different answer.

To avoid this, scale the required precision with the magnitude of the
expected result, so that we accept a maximum error of either 10 decimal
places or 1 part in 1e10, whichever is greater.

[smcv: Added longer commit message explaining why we need this]
(cherry picked from commit 880c69392a)
2024-02-02 07:44:04 -08:00

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/**
* Math test suite
*/
#include <float.h>
#include <math.h>
#include <SDL3/SDL.h>
#include <SDL3/SDL_test.h>
#include "testautomation_suites.h"
/* ================= Test Constants ================== */
/* Range tests parameters */
#define RANGE_TEST_ITERATIONS 10000000
#define RANGE_TEST_STEP ((Uint32)(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
#define IS_INFINITY(V) fpclassify(V) == FP_INFINITE
/* 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);
/**
* 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) < FLT_EPSILON,
"%s(%f), expected %f, got %f",
func_name,
cases[i].input,
cases[i].expected, result);
}
return TEST_COMPLETED;
}
/**
* 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);
double diff = result - cases[i].expected;
double max_err = (cases[i].expected + 1.) * EPSILON;
if (diff < 0) {
diff = -diff;
}
if (max_err < 0) {
max_err = -max_err;
}
SDLTest_AssertCheck(diff <= max_err,
"%s(%f), expected [%f,%f], got %f",
func_name,
cases[i].input,
cases[i].expected - EPSILON,
cases[i].expected + EPSILON,
result);
}
return TEST_COMPLETED;
}
/**
* 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;
}
/**
* 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);
double diff = result - cases[i].expected;
double max_err = (cases[i].expected + 1.) * EPSILON;
if (diff < 0) {
diff = -diff;
}
if (max_err < 0) {
max_err = -max_err;
}
SDLTest_AssertCheck(diff <= max_err,
"%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;
}
/**
* 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(IS_INFINITY(result) && result > 0,
"Floor(%f), expected %f, got %f",
INFINITY, INFINITY, result);
result = SDL_floor(-INFINITY);
SDLTest_AssertCheck(IS_INFINITY(result) && result < 0,
"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(IS_INFINITY(result) && result > 0,
"Ceil(%f), expected %f, got %f",
INFINITY, INFINITY, result);
result = SDL_ceil(-INFINITY);
SDLTest_AssertCheck(IS_INFINITY(result) && result < 0,
"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(IS_INFINITY(result) && result > 0,
"Trunc(%f), expected %f, got %f",
INFINITY, INFINITY, result);
result = SDL_trunc(-INFINITY);
SDLTest_AssertCheck(IS_INFINITY(result) && result < 0,
"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(IS_INFINITY(result) && result > 0,
"Round(%f), expected %f, got %f",
INFINITY, INFINITY, result);
result = SDL_round(-INFINITY);
SDLTest_AssertCheck(IS_INFINITY(result) && result < 0,
"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(IS_INFINITY(result) && result > 0,
"Fabs(%f), expected %f, got %f",
INFINITY, INFINITY, result);
result = SDL_fabs(-INFINITY);
SDLTest_AssertCheck(IS_INFINITY(result) && result > 0,
"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(IS_INFINITY(result) && result < 0,
"Copysign(%f,%.1f), expected %f, got %f",
INFINITY, -1.0, -INFINITY, result);
result = SDL_copysign(INFINITY, 1.0);
SDLTest_AssertCheck(IS_INFINITY(result) && result > 0,
"Copysign(%f,%.1f), expected %f, got %f",
INFINITY, 1.0, INFINITY, result);
result = SDL_copysign(-INFINITY, -1.0);
SDLTest_AssertCheck(IS_INFINITY(result) && result < 0,
"Copysign(%f,%.1f), expected %f, got %f",
-INFINITY, -1.0, -INFINITY, result);
result = SDL_copysign(-INFINITY, 1.0);
SDLTest_AssertCheck(IS_INFINITY(result) && result > 0,
"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(IS_INFINITY(result) && result > 0,
"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_inexact("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(IS_INFINITY(result) && result > 0,
"Log(%f), expected %f, got %f",
INFINITY, INFINITY, result);
result = SDL_log(0.0);
SDLTest_AssertCheck(IS_INFINITY(result) && result < 0,
"Log(%f), expected %f, got %f",
0.0, -INFINITY, result);
result = SDL_log(-0.0);
SDLTest_AssertCheck(IS_INFINITY(result) && result < 0,
"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((result - 1.) < FLT_EPSILON,
"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(IS_INFINITY(result) && result > 0,
"Log10(%f), expected %f, got %f",
INFINITY, INFINITY, result);
result = SDL_log10(0.0);
SDLTest_AssertCheck(IS_INFINITY(result) && result < 0,
"Log10(%f), expected %f, got %f",
0.0, -INFINITY, result);
result = SDL_log10(-0.0);
SDLTest_AssertCheck(IS_INFINITY(result) && result < 0,
"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_modf tests functions */
static int
modf_baseCases(void *args)
{
double fractional, integral;
fractional = SDL_modf(1.25, &integral);
SDLTest_AssertCheck(integral == 1.0,
"modf(%f), expected integral %f, got %f",
1.25, 1.0, integral);
SDLTest_AssertCheck(fractional == 0.25,
"modf(%f), expected fractional %f, got %f",
1.25, 0.25, fractional);
return TEST_COMPLETED;
}
/* 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(IS_INFINITY(result) && result > 0,
"Pow(%f,%f), expected %f, got %f",
0.0, -INFINITY, INFINITY, result);
result = SDL_pow(-0.0, -INFINITY);
SDLTest_AssertCheck(IS_INFINITY(result) && result > 0,
"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(IS_INFINITY(result) && result > 0,
"Pow(%f,%f), expected %f, got %f",
1.5, INFINITY, INFINITY, result);
result = SDL_pow(0.5, -INFINITY);
SDLTest_AssertCheck(IS_INFINITY(result) && result > 0,
"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(IS_INFINITY(result) && result > 0,
"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(IS_INFINITY(result) && result > 0,
"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(IS_INFINITY(result) && result < 0,
"Pow(%f,%f), expected %f, got %f",
-INFINITY, 3.0, -INFINITY, result);
result = SDL_pow(-INFINITY, 2.0);
SDLTest_AssertCheck(IS_INFINITY(result) && result > 0,
"Pow(%f,%f), expected %f, got %f",
-INFINITY, 2.0, INFINITY, result);
result = SDL_pow(-INFINITY, 5.5);
SDLTest_AssertCheck(IS_INFINITY(result) && result > 0,
"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(IS_INFINITY(result) && result < 0,
"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(IS_INFINITY(result) && result > 0,
"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(IS_INFINITY(result) && result > 0,
"Pow(%f,%f), expected %f, got %f",
-0.0, -3.5, INFINITY, result);
result = SDL_pow(-0.0, -4.0);
SDLTest_AssertCheck(IS_INFINITY(result) && result > 0,
"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(IS_INFINITY(result) && result > 0,
"Pow(%f,%f), expected %f, got %f",
0.0, -3.5, INFINITY, result);
result = SDL_pow(0.0, -4.0);
SDLTest_AssertCheck(IS_INFINITY(result) && result > 0,
"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[] = {
#if 0 /* These tests fail when using the Mingw C runtime, we'll disable them for now */
{ -391.25, -2.0, 0.00000653267870448815438463212659780943170062528224661946296691894531250 },
{ -72.3, 12.0, 20401381050275984310272.0 },
#endif
{ -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_inexact("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(IS_INFINITY(result) && result > 0,
"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(IS_INFINITY(result) && result > 0,
"Scalbn(%f,%d), expected %f, got %f",
INFINITY, 1, INFINITY, result);
result = SDL_scalbn(-INFINITY, 1);
SDLTest_AssertCheck(IS_INFINITY(result) && result < 0,
"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[] = {
{ -SDL_PI_D, -1.0 },
{ -0.0, 1.0 },
{ 0.0, 1.0 },
{ SDL_PI_D, -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[] = {
{ SDL_PI_D * 1.0 / 10.0, 0.9510565162951535 },
{ SDL_PI_D * 2.0 / 10.0, 0.8090169943749475 },
{ SDL_PI_D * 3.0 / 10.0, 0.5877852522924731 },
{ SDL_PI_D * 4.0 / 10.0, 0.30901699437494745 },
{ SDL_PI_D * 5.0 / 10.0, 0.0 },
{ SDL_PI_D * 6.0 / 10.0, -0.30901699437494734 },
{ SDL_PI_D * 7.0 / 10.0, -0.587785252292473 },
{ SDL_PI_D * 8.0 / 10.0, -0.8090169943749473 },
{ SDL_PI_D * 9.0 / 10.0, -0.9510565162951535 },
{ SDL_PI_D * -1.0 / 10.0, 0.9510565162951535 },
{ SDL_PI_D * -2.0 / 10.0, 0.8090169943749475 },
{ SDL_PI_D * -3.0 / 10.0, 0.5877852522924731 },
{ SDL_PI_D * -4.0 / 10.0, 0.30901699437494745 },
{ SDL_PI_D * -5.0 / 10.0, 0.0 },
{ SDL_PI_D * -6.0 / 10.0, -0.30901699437494734 },
{ SDL_PI_D * -7.0 / 10.0, -0.587785252292473 },
{ SDL_PI_D * -8.0 / 10.0, -0.8090169943749473 },
{ SDL_PI_D * -9.0 / 10.0, -0.9510565162951535 }
};
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[] = {
{ -SDL_PI_D / 2, -1.0 },
{ -0.0, -0.0 },
{ 0.0, 0.0 },
{ SDL_PI_D / 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[] = {
{ SDL_PI_D * 1.0 / 10.0, 0.3090169943749474 },
{ SDL_PI_D * 2.0 / 10.0, 0.5877852522924731 },
{ SDL_PI_D * 3.0 / 10.0, 0.8090169943749475 },
{ SDL_PI_D * 4.0 / 10.0, 0.9510565162951535 },
{ SDL_PI_D * 6.0 / 10.0, 0.9510565162951536 },
{ SDL_PI_D * 7.0 / 10.0, 0.8090169943749475 },
{ SDL_PI_D * 8.0 / 10.0, 0.5877852522924732 },
{ SDL_PI_D * 9.0 / 10.0, 0.3090169943749475 },
{ SDL_PI_D, 0.0 },
{ SDL_PI_D * -1.0 / 10.0, -0.3090169943749474 },
{ SDL_PI_D * -2.0 / 10.0, -0.5877852522924731 },
{ SDL_PI_D * -3.0 / 10.0, -0.8090169943749475 },
{ SDL_PI_D * -4.0 / 10.0, -0.9510565162951535 },
{ SDL_PI_D * -6.0 / 10.0, -0.9510565162951536 },
{ SDL_PI_D * -7.0 / 10.0, -0.8090169943749475 },
{ SDL_PI_D * -8.0 / 10.0, -0.5877852522924732 },
{ SDL_PI_D * -9.0 / 10.0, -0.3090169943749475 },
{ -SDL_PI_D, 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[] = {
{ SDL_PI_D * 1.0 / 11.0, 0.29362649293836673 },
{ SDL_PI_D * 2.0 / 11.0, 0.642660977168331 },
{ SDL_PI_D * 3.0 / 11.0, 1.1540615205330094 },
{ SDL_PI_D * 4.0 / 11.0, 2.189694562989681 },
{ SDL_PI_D * 5.0 / 11.0, 6.9551527717734745 },
{ SDL_PI_D * 6.0 / 11.0, -6.955152771773481 },
{ SDL_PI_D * 7.0 / 11.0, -2.189694562989682 },
{ SDL_PI_D * 8.0 / 11.0, -1.1540615205330096 },
{ SDL_PI_D * 9.0 / 11.0, -0.6426609771683314 },
{ SDL_PI_D * 10.0 / 11.0, -0.2936264929383667 },
{ SDL_PI_D * -1.0 / 11.0, -0.29362649293836673 },
{ SDL_PI_D * -2.0 / 11.0, -0.642660977168331 },
{ SDL_PI_D * -3.0 / 11.0, -1.1540615205330094 },
{ SDL_PI_D * -4.0 / 11.0, -2.189694562989681 },
{ SDL_PI_D * -5.0 / 11.0, -6.9551527717734745 },
{ SDL_PI_D * -6.0 / 11.0, 6.955152771773481 },
{ SDL_PI_D * -7.0 / 11.0, 2.189694562989682 },
{ SDL_PI_D * -8.0 / 11.0, 1.1540615205330096 },
{ SDL_PI_D * -9.0 / 11.0, 0.6426609771683314 },
{ SDL_PI_D * -10.0 / 11.0, 0.2936264929383667 }
};
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(SDL_fabs(SDL_PI_D - result) <= EPSILON,
"Acos(%f), expected %f, got %f",
-1.0, SDL_PI_D, 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(SDL_fabs(SDL_PI_D / 2.0 - result) <= EPSILON,
"Asin(%f), expected %f, got %f",
1.0, SDL_PI_D / 2.0, result);
result = SDL_asin(-1.0);
SDLTest_AssertCheck(SDL_fabs(-SDL_PI_D / 2.0 - result) <= EPSILON,
"Asin(%f), expected %f, got %f",
-1.0, -SDL_PI_D / 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, 1.1197695149986342 },
{ 0.8, 0.9272952180016123 },
{ 0.7, 0.775397496610753 },
{ 0.6, 0.6435011087932844 },
{ 0.5, 0.5235987755982989 },
{ 0.4, 0.41151684606748806 },
{ 0.3, 0.3046926540153976 },
{ 0.2, 0.20135792079033074 },
{ 0.1, 0.10016742116155977 },
{ 0.0, 0.0 },
{ -0.0, -0.0 },
{ -0.1, -0.10016742116155977 },
{ -0.2, -0.20135792079033074 },
{ -0.3, -0.3046926540153976 },
{ -0.4, -0.41151684606748806 },
{ -0.5, -0.5235987755982989 },
{ -0.6, -0.6435011087932844 },
{ -0.7, -0.775397496610753 },
{ -0.8, -0.9272952180016123 },
{ -0.9, -1.1197695149986342 }
};
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((SDL_PI_D / 2.0) - EPSILON <= result &&
result <= (SDL_PI_D / 2.0) + EPSILON,
"Atan(%f), expected %f, got %f",
INFINITY, SDL_PI_D / 2.0, result);
result = SDL_atan(-INFINITY);
SDLTest_AssertCheck((-SDL_PI_D / 2.0) - EPSILON <= result &&
result <= (-SDL_PI_D / 2.0) + EPSILON,
"Atan(%f), expected %f, got %f",
-INFINITY, -SDL_PI_D / 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, 1.413716694115407 },
{ 3.0776835371752527, 1.2566370614359172 },
{ 1.9626105055051504, 1.0995574287564276 },
{ 1.3763819204711734, 0.9424777960769379 },
{ 1.0, 0.7853981633974483 },
{ 0.7265425280053609, 0.6283185307179586 },
{ 0.5095254494944288, 0.47123889803846897 },
{ 0.3249196962329063, 0.3141592653589793 },
{ 0.15838444032453627, 0.15707963267948966 },
{ -0.15838444032453627, -0.15707963267948966 },
{ -0.3249196962329063, -0.3141592653589793 },
{ -0.5095254494944288, -0.47123889803846897 },
{ -0.7265425280053609, -0.6283185307179586 },
{ -1.0, -0.7853981633974483 },
{ -1.3763819204711734, -0.9424777960769379 },
{ -1.9626105055051504, -1.0995574287564276 },
{ -3.0776835371752527, -1.2566370614359172 },
{ -6.313751514675041, -1.413716694115407 },
};
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, SDL_PI_D },
{ -0.0, -0.0, -SDL_PI_D },
};
return helper_ddtod_inexact("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, SDL_PI_D },
{ -0.0, 1.0, -0.0 },
{ -0.0, -1.0, -SDL_PI_D }
};
return helper_ddtod_inexact("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, SDL_PI_D / 2.0 },
{ -1.0, 0.0, -SDL_PI_D / 2.0 },
{ 1.0, -0.0, SDL_PI_D / 2.0 },
{ -1.0, -0.0, -SDL_PI_D / 2.0 }
};
return helper_ddtod_inexact("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(SDL_fabs(SDL_PI_D / 4.0 - result) <= EPSILON,
"Atan2(%f,%f), expected %f, got %f",
INFINITY, INFINITY, SDL_PI_D / 4.0, result);
result = SDL_atan2(INFINITY, -INFINITY);
SDLTest_AssertCheck(SDL_fabs(3.0 * SDL_PI_D / 4.0 - result) <= EPSILON,
"Atan2(%f,%f), expected %f, got %f",
INFINITY, -INFINITY, 3.0 * SDL_PI_D / 4.0, result);
result = SDL_atan2(-INFINITY, INFINITY);
SDLTest_AssertCheck(SDL_fabs(-SDL_PI_D / 4.0 - result) <= EPSILON,
"Atan2(%f,%f), expected %f, got %f",
-INFINITY, INFINITY, -SDL_PI_D / 4.0, result);
result = SDL_atan2(-INFINITY, -INFINITY);
SDLTest_AssertCheck(SDL_fabs(-3.0 * SDL_PI_D / 4.0 - result) <= EPSILON,
"Atan2(%f,%f), expected %f, got %f",
-INFINITY, -INFINITY, -3.0 * SDL_PI_D / 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(SDL_fabs(SDL_PI_D / 2.0 - result) <= EPSILON,
"Atan2(%f,%f), expected %f, got %f",
INFINITY, 1.0, SDL_PI_D / 2.0, result);
result = SDL_atan2(INFINITY, -1.0);
SDLTest_AssertCheck(SDL_fabs(SDL_PI_D / 2.0 - result) <= EPSILON,
"Atan2(%f,%f), expected %f, got %f",
INFINITY, -1.0, SDL_PI_D / 2.0, result);
result = SDL_atan2(-INFINITY, 1.0);
SDLTest_AssertCheck(SDL_fabs(-SDL_PI_D / 2.0 - result) <= EPSILON,
"Atan2(%f,%f), expected %f, got %f",
-INFINITY, 1.0, -SDL_PI_D / 2.0, result);
result = SDL_atan2(-INFINITY, -1.0);
SDLTest_AssertCheck(SDL_fabs(-SDL_PI_D / 2.0 - result) <= EPSILON,
"Atan2(%f,%f), expected %f, got %f",
-INFINITY, -1.0, -SDL_PI_D / 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(SDL_fabs(SDL_PI_D - result) <= EPSILON,
"Atan2(%f,%f), expected %f, got %f",
1.0, -INFINITY, SDL_PI_D, result);
result = SDL_atan2(-1.0, -INFINITY);
SDLTest_AssertCheck(SDL_fabs(-SDL_PI_D - result) <= EPSILON,
"Atan2(%f,%f), expected %f, got %f",
-1.0, -INFINITY, -SDL_PI_D, 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, SDL_PI_D / 4.0 },
{ SQRT3, 3.0, SDL_PI_D / 6.0 },
{ SQRT3, 1.0, SDL_PI_D / 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 * SDL_PI_D / 4.0 },
{ SQRT3, -3.0, 5.0 * SDL_PI_D / 6.0 },
{ SQRT3, -1.0, 2.0 * SDL_PI_D / 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, -SDL_PI_D / 4 },
{ -SQRT3, 3.0, -SDL_PI_D / 6.0 },
{ -SQRT3, 1.0, -SDL_PI_D / 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 * SDL_PI_D / 4.0 },
{ -SQRT3, -3.0, -5.0 * SDL_PI_D / 6.0 },
{ -SQRT3, -1.0, -4.0 * SDL_PI_D / 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_modf test cases */
static const SDLTest_TestCaseReference modfTestBase = {
(SDLTest_TestCaseFp)modf_baseCases, "modf_baseCases",
"Checks the base cases", 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 range of positive integer", TEST_ENABLED
};
/* SDL_sin test cases */
static const SDLTest_TestCaseReference sinTestInf = {
(SDLTest_TestCaseFp)sin_infCases, "sin_infCases",
"Checks for positive and negative infinity", TEST_ENABLED
};
static const SDLTest_TestCaseReference sinTestNan = {
(SDLTest_TestCaseFp)sin_nanCase, "sin_nanCase",
"Checks NAN", TEST_ENABLED
};
static const SDLTest_TestCaseReference sinTestRegular = {
(SDLTest_TestCaseFp)sin_regularCases, "sin_regularCases",
"Checks a set of regular cases", TEST_ENABLED
};
static const SDLTest_TestCaseReference sinTestPrecision = {
(SDLTest_TestCaseFp)sin_precisionTest, "sin_precisionTest",
"Checks sine precision", TEST_ENABLED
};
static const SDLTest_TestCaseReference sinTestRange = {
(SDLTest_TestCaseFp)sin_rangeTest, "sin_rangeTest",
"Checks a range of positive integer", TEST_ENABLED
};
/* SDL_tan test cases */
static const SDLTest_TestCaseReference tanTestInf = {
(SDLTest_TestCaseFp)tan_infCases, "tan_infCases",
"Checks for positive and negative infinity", TEST_ENABLED
};
static const SDLTest_TestCaseReference tanTestNan = {
(SDLTest_TestCaseFp)tan_nanCase, "tan_nanCase",
"Checks NAN", TEST_ENABLED
};
static const SDLTest_TestCaseReference tanTestZero = {
(SDLTest_TestCaseFp)tan_zeroCases, "tan_zeroCases",
"Checks a set of regular cases", TEST_ENABLED
};
static const SDLTest_TestCaseReference tanTestPrecision = {
(SDLTest_TestCaseFp)tan_precisionTest, "tan_precisionTest",
"Checks tangent precision", TEST_ENABLED
};
/* SDL_acos test cases */
static const SDLTest_TestCaseReference acosTestLimit = {
(SDLTest_TestCaseFp)acos_limitCases, "acos_limitCases",
"Checks the edge of the domain (+/-1)", TEST_ENABLED
};
static const SDLTest_TestCaseReference acosTestOutOfDomain = {
(SDLTest_TestCaseFp)acos_outOfDomainCases, "acos_outOfDomainCases",
"Checks values outside the domain", TEST_ENABLED
};
static const SDLTest_TestCaseReference acosTestNan = {
(SDLTest_TestCaseFp)acos_nanCase, "acos_nanCase",
"Checks NAN", TEST_ENABLED
};
static const SDLTest_TestCaseReference acosTestPrecision = {
(SDLTest_TestCaseFp)acos_precisionTest, "acos_precisionTest",
"Checks acos precision", TEST_ENABLED
};
/* SDL_asin test cases */
static const SDLTest_TestCaseReference asinTestLimit = {
(SDLTest_TestCaseFp)asin_limitCases, "asin_limitCases",
"Checks the edge of the domain (+/-1)", TEST_ENABLED
};
static const SDLTest_TestCaseReference asinTestOutOfDomain = {
(SDLTest_TestCaseFp)asin_outOfDomainCases, "asin_outOfDomainCases",
"Checks values outside the domain", TEST_ENABLED
};
static const SDLTest_TestCaseReference asinTestNan = {
(SDLTest_TestCaseFp)asin_nanCase, "asin_nanCase",
"Checks NAN", TEST_ENABLED
};
static const SDLTest_TestCaseReference asinTestPrecision = {
(SDLTest_TestCaseFp)asin_precisionTest, "asin_precisionTest",
"Checks asin precision", TEST_ENABLED
};
/* SDL_atan test cases */
static const SDLTest_TestCaseReference atanTestLimit = {
(SDLTest_TestCaseFp)atan_limitCases, "atan_limitCases",
"Checks the edge of the domain (+/-Infinity)", TEST_ENABLED
};
static const SDLTest_TestCaseReference atanTestZero = {
(SDLTest_TestCaseFp)atan_zeroCases, "atan_zeroCases",
"Checks for positive and negative zero", TEST_ENABLED
};
static const SDLTest_TestCaseReference atanTestNan = {
(SDLTest_TestCaseFp)atan_nanCase, "atan_nanCase",
"Checks NAN", TEST_ENABLED
};
static const SDLTest_TestCaseReference atanTestPrecision = {
(SDLTest_TestCaseFp)atan_precisionTest, "atan_precisionTest",
"Checks atan precision", TEST_ENABLED
};
/* SDL_atan2 test cases */
static const SDLTest_TestCaseReference atan2TestZero1 = {
(SDLTest_TestCaseFp)atan2_bothZeroCases, "atan2_bothZeroCases",
"Checks for both arguments being zero", TEST_ENABLED
};
static const SDLTest_TestCaseReference atan2TestZero2 = {
(SDLTest_TestCaseFp)atan2_yZeroCases, "atan2_yZeroCases",
"Checks for y=0", TEST_ENABLED
};
static const SDLTest_TestCaseReference atan2TestZero3 = {
(SDLTest_TestCaseFp)atan2_xZeroCases, "atan2_xZeroCases",
"Checks for x=0", TEST_ENABLED
};
static const SDLTest_TestCaseReference atan2TestInf1 = {
(SDLTest_TestCaseFp)atan2_bothInfCases, "atan2_bothInfCases",
"Checks for both arguments being infinity", TEST_ENABLED
};
static const SDLTest_TestCaseReference atan2TestInf2 = {
(SDLTest_TestCaseFp)atan2_yInfCases, "atan2_yInfCases",
"Checks for y=0", TEST_ENABLED
};
static const SDLTest_TestCaseReference atan2TestInf3 = {
(SDLTest_TestCaseFp)atan2_xInfCases, "atan2_xInfCases",
"Checks for x=0", TEST_ENABLED
};
static const SDLTest_TestCaseReference atan2TestNan = {
(SDLTest_TestCaseFp)atan2_nanCases, "atan2_nanCases",
"Checks NANs", 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,
&ceilTestInf, &ceilTestZero, &ceilTestNan,
&ceilTestRound, &ceilTestFraction, &ceilTestRange,
&truncTestInf, &truncTestZero, &truncTestNan,
&truncTestRound, &truncTestFraction, &truncTestRange,
&roundTestInf, &roundTestZero, &roundTestNan,
&roundTestRound, &roundTestFraction, &roundTestRange,
&fabsTestInf, &fabsTestZero, &fabsTestNan, &fabsTestRange,
&copysignTestInf, &copysignTestZero, &copysignTestNan, &copysignTestRange,
&fmodTestDivOfInf, &fmodTestDivByInf, &fmodTestDivOfZero, &fmodTestDivByZero,
&fmodTestNan, &fmodTestRegular, &fmodTestRange,
&expTestInf, &expTestZero, &expTestOverflow,
&expTestBase, &expTestRegular,
&logTestLimit, &logTestNan,
&logTestBase, &logTestRegular,
&log10TestLimit, &log10TestNan,
&log10TestBase, &log10TestRegular,
&modfTestBase,
&powTestExpInf1, &powTestExpInf2, &powTestExpInf3,
&powTestBaseInf1, &powTestBaseInf2,
&powTestNan1, &powTestNan2, &powTestNan3, &powTestNan4,
&powTestZero1, &powTestZero2, &powTestZero3, &powTestZero4,
&powTestRegular, &powTestPowOf2, &powTestRange,
&sqrtTestInf, &sqrtTestNan, &sqrtTestDomain,
&sqrtTestBase, &sqrtTestRegular,
&scalbnTestInf, &scalbnTestBaseZero, &scalbnTestExpZero,
&scalbnTestNan, &scalbnTestRegular,
&cosTestInf, &cosTestNan, &cosTestRegular,
&cosTestPrecision, &cosTestRange,
&sinTestInf, &sinTestNan, &sinTestRegular,
&sinTestPrecision, &sinTestRange,
&tanTestInf, &tanTestNan, &tanTestZero, &tanTestPrecision,
&acosTestLimit, &acosTestOutOfDomain, &acosTestNan, &acosTestPrecision,
&asinTestLimit, &asinTestOutOfDomain, &asinTestNan, &asinTestPrecision,
&atanTestLimit, &atanTestZero, &atanTestNan, &atanTestPrecision,
&atan2TestZero1, &atan2TestZero2, &atan2TestZero3,
&atan2TestInf1, &atan2TestInf2, &atan2TestInf3,
&atan2TestNan, &atan2TestQuadrantTopRight, &atan2TestQuadrantTopLeft,
&atan2TestQuadrantBottomRight, &atan2TestQuadrantBottomLeft,
NULL
};
SDLTest_TestSuiteReference mathTestSuite = {
"Math",
NULL,
mathTests,
NULL
};
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