OpenGL Mathematics (GLM)
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#include <glm/common.hpp>
#include <glm/exponential.hpp>
#include <glm/gtc/epsilon.hpp>
#include <glm/gtc/constants.hpp>
#include <glm/gtc/ulp.hpp>
#include <glm/gtc/vec1.hpp>
static int test_pow()
{
int Error(0);
float A = glm::pow(2.f, 2.f);
Error += glm::epsilonEqual(A, 4.f, 0.01f) ? 0 : 1;
glm::vec1 B = glm::pow(glm::vec1(2.f), glm::vec1(2.f));
Error += glm::all(glm::epsilonEqual(B, glm::vec1(4.f), 0.01f)) ? 0 : 1;
glm::vec2 C = glm::pow(glm::vec2(2.f), glm::vec2(2.f));
Error += glm::all(glm::epsilonEqual(C, glm::vec2(4.f), 0.01f)) ? 0 : 1;
glm::vec3 D = glm::pow(glm::vec3(2.f), glm::vec3(2.f));
Error += glm::all(glm::epsilonEqual(D, glm::vec3(4.f), 0.01f)) ? 0 : 1;
glm::vec4 E = glm::pow(glm::vec4(2.f), glm::vec4(2.f));
Error += glm::all(glm::epsilonEqual(E, glm::vec4(4.f), 0.01f)) ? 0 : 1;
return Error;
}
static int test_exp()
{
int Error = 0;
float A = glm::exp(10.f);
glm::vec1 B = glm::exp(glm::vec1(10.f));
glm::vec2 C = glm::exp(glm::vec2(10.f));
glm::vec3 D = glm::exp(glm::vec3(10.f));
glm::vec4 E = glm::exp(glm::vec4(10.f));
return Error;
}
static int test_log()
{
int Error = 0;
float const A = glm::log(glm::e<float>());
Error += glm::epsilonEqual(A, 1.f, 0.01f) ? 0 : 1;
glm::vec1 const B = glm::log(glm::vec1(glm::e<float>()));
Error += glm::all(glm::epsilonEqual(B, glm::vec1(1.f), 0.01f)) ? 0 : 1;
glm::vec2 const C = glm::log(glm::vec2(glm::e<float>()));
Error += glm::all(glm::epsilonEqual(B, glm::vec2(1.f), 0.01f)) ? 0 : 1;
glm::vec3 const D = glm::log(glm::vec3(glm::e<float>()));
Error += glm::all(glm::epsilonEqual(B, glm::vec3(1.f), 0.01f)) ? 0 : 1;
glm::vec4 const E = glm::log(glm::vec4(glm::e<float>()));
Error += glm::all(glm::epsilonEqual(B, glm::vec4(1.f), 0.01f)) ? 0 : 1;
return Error;
}
static int test_exp2()
{
int Error = 0;
float A = glm::exp2(10.f);
glm::vec1 B = glm::exp2(glm::vec1(10.f));
glm::vec2 C = glm::exp2(glm::vec2(10.f));
glm::vec3 D = glm::exp2(glm::vec3(10.f));
glm::vec4 E = glm::exp2(glm::vec4(10.f));
return Error;
}
static int test_log2()
{
int Error = 0;
float A = glm::log2(10.f);
glm::vec1 B = glm::log2(glm::vec1(10.f));
glm::vec2 C = glm::log2(glm::vec2(10.f));
glm::vec3 D = glm::log2(glm::vec3(10.f));
glm::vec4 E = glm::log2(glm::vec4(10.f));
return Error;
}
static int test_sqrt()
{
int Error = 0;
# if GLM_ARCH & GLM_ARCH_SSE2_BIT
for(float f = 0.1f; f < 30.0f; f += 0.1f)
{
float r = _mm_cvtss_f32(_mm_sqrt_ps(_mm_set1_ps(f)));
float s = std::sqrt(f);
Error += glm::abs(r - s) < 0.01f ? 0 : 1;
assert(!Error);
}
# endif//GLM_ARCH & GLM_ARCH_SSE2_BIT
float A = glm::sqrt(10.f);
glm::vec1 B = glm::sqrt(glm::vec1(10.f));
glm::vec2 C = glm::sqrt(glm::vec2(10.f));
glm::vec3 D = glm::sqrt(glm::vec3(10.f));
glm::vec4 E = glm::sqrt(glm::vec4(10.f));
return Error;
}
static int test_inversesqrt()
{
int Error = 0;
glm::uint ulp(0);
float diff(0.0f);
for(float f = 0.001f; f < 10.f; f *= 1.01f)
{
glm::lowp_fvec1 u(f);
glm::lowp_fvec1 lowp_v = glm::inversesqrt(u);
float defaultp_v = glm::inversesqrt(f);
ulp = glm::max(glm::float_distance(lowp_v.x, defaultp_v), ulp);
diff = glm::abs(lowp_v.x - defaultp_v);
Error += diff > 0.1f ? 1 : 0;
}
return Error;
}
int main()
{
int Error = 0;
Error += test_pow();
Error += test_exp();
Error += test_log();
Error += test_exp2();
Error += test_log2();
//Error += test_sqrt();
//Error += test_inversesqrt();
return Error;
}