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Zero
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// Code sample from Filippo Ramaciotti
#define GLM_ENABLE_EXPERIMENTAL
#include <glm/gtc/matrix_transform.hpp>
#include <glm/gtx/matrix_cross_product.hpp>
#include <glm/gtx/matrix_operation.hpp>
#include <glm/gtc/epsilon.hpp>
#include <glm/gtx/string_cast.hpp>
#include <glm/gtx/euler_angles.hpp>
#include <cstdio>
#include <vector>
#include <utility>
namespace test_eulerAngleX
{
int test()
{
int Error = 0;
float const Angle(glm::pi<float>() * 0.5f);
glm::vec3 const X(1.0f, 0.0f, 0.0f);
glm::vec4 const Y(0.0f, 1.0f, 0.0f, 1.0f);
glm::vec4 const Y1 = glm::rotate(glm::mat4(1.0f), Angle, X) * Y;
glm::vec4 const Y2 = glm::eulerAngleX(Angle) * Y;
glm::vec4 const Y3 = glm::eulerAngleXY(Angle, 0.0f) * Y;
glm::vec4 const Y4 = glm::eulerAngleYX(0.0f, Angle) * Y;
glm::vec4 const Y5 = glm::eulerAngleXZ(Angle, 0.0f) * Y;
glm::vec4 const Y6 = glm::eulerAngleZX(0.0f, Angle) * Y;
glm::vec4 const Y7 = glm::eulerAngleYXZ(0.0f, Angle, 0.0f) * Y;
Error += glm::all(glm::epsilonEqual(Y1, Y2, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Y1, Y3, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Y1, Y4, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Y1, Y5, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Y1, Y6, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Y1, Y7, 0.00001f)) ? 0 : 1;
glm::vec4 const Z(0.0f, 0.0f, 1.0f, 1.0f);
glm::vec4 const Z1 = glm::rotate(glm::mat4(1.0f), Angle, X) * Z;
glm::vec4 const Z2 = glm::eulerAngleX(Angle) * Z;
glm::vec4 const Z3 = glm::eulerAngleXY(Angle, 0.0f) * Z;
glm::vec4 const Z4 = glm::eulerAngleYX(0.0f, Angle) * Z;
glm::vec4 const Z5 = glm::eulerAngleXZ(Angle, 0.0f) * Z;
glm::vec4 const Z6 = glm::eulerAngleZX(0.0f, Angle) * Z;
glm::vec4 const Z7 = glm::eulerAngleYXZ(0.0f, Angle, 0.0f) * Z;
Error += glm::all(glm::epsilonEqual(Z1, Z2, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Z1, Z3, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Z1, Z4, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Z1, Z5, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Z1, Z6, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Z1, Z7, 0.00001f)) ? 0 : 1;
return Error;
}
}//namespace test_eulerAngleX
namespace test_eulerAngleY
{
int test()
{
int Error = 0;
float const Angle(glm::pi<float>() * 0.5f);
glm::vec3 const Y(0.0f, 1.0f, 0.0f);
glm::vec4 const X(1.0f, 0.0f, 0.0f, 1.0f);
glm::vec4 const X1 = glm::rotate(glm::mat4(1.0f), Angle, Y) * X;
glm::vec4 const X2 = glm::eulerAngleY(Angle) * X;
glm::vec4 const X3 = glm::eulerAngleYX(Angle, 0.0f) * X;
glm::vec4 const X4 = glm::eulerAngleXY(0.0f, Angle) * X;
glm::vec4 const X5 = glm::eulerAngleYZ(Angle, 0.0f) * X;
glm::vec4 const X6 = glm::eulerAngleZY(0.0f, Angle) * X;
glm::vec4 const X7 = glm::eulerAngleYXZ(Angle, 0.0f, 0.0f) * X;
Error += glm::all(glm::epsilonEqual(X1, X2, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(X1, X3, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(X1, X4, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(X1, X5, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(X1, X6, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(X1, X7, 0.00001f)) ? 0 : 1;
glm::vec4 const Z(0.0f, 0.0f, 1.0f, 1.0f);
glm::vec4 const Z1 = glm::eulerAngleY(Angle) * Z;
glm::vec4 const Z2 = glm::rotate(glm::mat4(1.0f), Angle, Y) * Z;
glm::vec4 const Z3 = glm::eulerAngleYX(Angle, 0.0f) * Z;
glm::vec4 const Z4 = glm::eulerAngleXY(0.0f, Angle) * Z;
glm::vec4 const Z5 = glm::eulerAngleYZ(Angle, 0.0f) * Z;
glm::vec4 const Z6 = glm::eulerAngleZY(0.0f, Angle) * Z;
glm::vec4 const Z7 = glm::eulerAngleYXZ(Angle, 0.0f, 0.0f) * Z;
Error += glm::all(glm::epsilonEqual(Z1, Z2, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Z1, Z3, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Z1, Z4, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Z1, Z5, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Z1, Z6, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Z1, Z7, 0.00001f)) ? 0 : 1;
return Error;
}
}//namespace test_eulerAngleY
namespace test_eulerAngleZ
{
int test()
{
int Error = 0;
float const Angle(glm::pi<float>() * 0.5f);
glm::vec3 const Z(0.0f, 0.0f, 1.0f);
glm::vec4 const X(1.0f, 0.0f, 0.0f, 1.0f);
glm::vec4 const X1 = glm::rotate(glm::mat4(1.0f), Angle, Z) * X;
glm::vec4 const X2 = glm::eulerAngleZ(Angle) * X;
glm::vec4 const X3 = glm::eulerAngleZX(Angle, 0.0f) * X;
glm::vec4 const X4 = glm::eulerAngleXZ(0.0f, Angle) * X;
glm::vec4 const X5 = glm::eulerAngleZY(Angle, 0.0f) * X;
glm::vec4 const X6 = glm::eulerAngleYZ(0.0f, Angle) * X;
glm::vec4 const X7 = glm::eulerAngleYXZ(0.0f, 0.0f, Angle) * X;
Error += glm::all(glm::epsilonEqual(X1, X2, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(X1, X3, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(X1, X4, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(X1, X5, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(X1, X6, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(X1, X7, 0.00001f)) ? 0 : 1;
glm::vec4 const Y(1.0f, 0.0f, 0.0f, 1.0f);
glm::vec4 const Z1 = glm::rotate(glm::mat4(1.0f), Angle, Z) * Y;
glm::vec4 const Z2 = glm::eulerAngleZ(Angle) * Y;
glm::vec4 const Z3 = glm::eulerAngleZX(Angle, 0.0f) * Y;
glm::vec4 const Z4 = glm::eulerAngleXZ(0.0f, Angle) * Y;
glm::vec4 const Z5 = glm::eulerAngleZY(Angle, 0.0f) * Y;
glm::vec4 const Z6 = glm::eulerAngleYZ(0.0f, Angle) * Y;
glm::vec4 const Z7 = glm::eulerAngleYXZ(0.0f, 0.0f, Angle) * Y;
Error += glm::all(glm::epsilonEqual(Z1, Z2, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Z1, Z3, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Z1, Z4, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Z1, Z5, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Z1, Z6, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(Z1, Z7, 0.00001f)) ? 0 : 1;
return Error;
}
}//namespace test_eulerAngleZ
namespace test_derivedEulerAngles
{
bool epsilonEqual(glm::mat4 const& mat1, glm::mat4 const& mat2, glm::mat4::value_type const& epsilon)
{
return glm::all(glm::epsilonEqual(mat1[0], mat2[0], epsilon)) ?
(
glm::all(glm::epsilonEqual(mat1[1], mat2[1], epsilon)) ?
(
glm::all(glm::epsilonEqual(mat1[2], mat2[2], epsilon)) ?
(
glm::all(glm::epsilonEqual(mat1[3], mat2[3], epsilon)) ? true : false
) : false
) : false
) : false;
}
template<typename RotationFunc, typename TestDerivedFunc>
int test(RotationFunc rotationFunc, TestDerivedFunc testDerivedFunc, const glm::vec3& basis)
{
int Error = 0;
typedef glm::vec3::value_type value;
value const zeroAngle(0.0f);
value const Angle(glm::pi<float>() * 0.75f);
value const negativeAngle(-Angle);
value const zeroAngleVelocity(0.0f);
value const AngleVelocity(glm::pi<float>() * 0.27f);
value const negativeAngleVelocity(-AngleVelocity);
typedef std::pair<value,value> AngleAndAngleVelocity;
std::vector<AngleAndAngleVelocity> testPairs;
testPairs.push_back(AngleAndAngleVelocity(zeroAngle, zeroAngleVelocity));
testPairs.push_back(AngleAndAngleVelocity(zeroAngle, AngleVelocity));
testPairs.push_back(AngleAndAngleVelocity(zeroAngle, negativeAngleVelocity));
testPairs.push_back(AngleAndAngleVelocity(Angle, zeroAngleVelocity));
testPairs.push_back(AngleAndAngleVelocity(Angle, AngleVelocity));
testPairs.push_back(AngleAndAngleVelocity(Angle, negativeAngleVelocity));
testPairs.push_back(AngleAndAngleVelocity(negativeAngle, zeroAngleVelocity));
testPairs.push_back(AngleAndAngleVelocity(negativeAngle, AngleVelocity));
testPairs.push_back(AngleAndAngleVelocity(negativeAngle, negativeAngleVelocity));
for (size_t i = 0, size = testPairs.size(); i < size; ++i)
{
AngleAndAngleVelocity const& pair = testPairs.at(i);
glm::mat4 const W = glm::matrixCross4(basis * pair.second);
glm::mat4 const rotMt = glm::transpose(rotationFunc(pair.first));
glm::mat4 const derivedRotM = testDerivedFunc(pair.first, pair.second);
Error += epsilonEqual(W, derivedRotM * rotMt, 0.00001f) ? 0 : 1;
}
return Error;
}
}//namespace test_derivedEulerAngles
namespace test_eulerAngleXY
{
int test()
{
int Error = 0;
glm::vec4 const V(1.0f);
float const AngleX(glm::pi<float>() * 0.5f);
float const AngleY(glm::pi<float>() * 0.25f);
glm::vec3 const axisX(1.0f, 0.0f, 0.0f);
glm::vec3 const axisY(0.0f, 1.0f, 0.0f);
glm::vec4 const V1 = (glm::rotate(glm::mat4(1.0f), AngleX, axisX) * glm::rotate(glm::mat4(1.0f), AngleY, axisY)) * V;
glm::vec4 const V2 = glm::eulerAngleXY(AngleX, AngleY) * V;
glm::vec4 const V3 = glm::eulerAngleX(AngleX) * glm::eulerAngleY(AngleY) * V;
Error += glm::all(glm::epsilonEqual(V1, V2, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(V1, V3, 0.00001f)) ? 0 : 1;
return Error;
}
}//namespace test_eulerAngleXY
namespace test_eulerAngleYX
{
int test()
{
int Error = 0;
glm::vec4 const V(1.0f);
float const AngleX(glm::pi<float>() * 0.5f);
float const AngleY(glm::pi<float>() * 0.25f);
glm::vec3 const axisX(1.0f, 0.0f, 0.0f);
glm::vec3 const axisY(0.0f, 1.0f, 0.0f);
glm::vec4 const V1 = (glm::rotate(glm::mat4(1.0f), AngleY, axisY) * glm::rotate(glm::mat4(1.0f), AngleX, axisX)) * V;
glm::vec4 const V2 = glm::eulerAngleYX(AngleY, AngleX) * V;
glm::vec4 const V3 = glm::eulerAngleY(AngleY) * glm::eulerAngleX(AngleX) * V;
Error += glm::all(glm::epsilonEqual(V1, V2, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(V1, V3, 0.00001f)) ? 0 : 1;
return Error;
}
}//namespace test_eulerAngleYX
namespace test_eulerAngleXZ
{
int test()
{
int Error = 0;
glm::vec4 const V(1.0f);
float const AngleX(glm::pi<float>() * 0.5f);
float const AngleZ(glm::pi<float>() * 0.25f);
glm::vec3 const axisX(1.0f, 0.0f, 0.0f);
glm::vec3 const axisZ(0.0f, 0.0f, 1.0f);
glm::vec4 const V1 = (glm::rotate(glm::mat4(1.0f), AngleX, axisX) * glm::rotate(glm::mat4(1.0f), AngleZ, axisZ)) * V;
glm::vec4 const V2 = glm::eulerAngleXZ(AngleX, AngleZ) * V;
glm::vec4 const V3 = glm::eulerAngleX(AngleX) * glm::eulerAngleZ(AngleZ) * V;
Error += glm::all(glm::epsilonEqual(V1, V2, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(V1, V3, 0.00001f)) ? 0 : 1;
return Error;
}
}//namespace test_eulerAngleXZ
namespace test_eulerAngleZX
{
int test()
{
int Error = 0;
glm::vec4 const V(1.0f);
float const AngleX(glm::pi<float>() * 0.5f);
float const AngleZ(glm::pi<float>() * 0.25f);
glm::vec3 const axisX(1.0f, 0.0f, 0.0f);
glm::vec3 const axisZ(0.0f, 0.0f, 1.0f);
glm::vec4 const V1 = (glm::rotate(glm::mat4(1.0f), AngleZ, axisZ) * glm::rotate(glm::mat4(1.0f), AngleX, axisX)) * V;
glm::vec4 const V2 = glm::eulerAngleZX(AngleZ, AngleX) * V;
glm::vec4 const V3 = glm::eulerAngleZ(AngleZ) * glm::eulerAngleX(AngleX) * V;
Error += glm::all(glm::epsilonEqual(V1, V2, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(V1, V3, 0.00001f)) ? 0 : 1;
return Error;
}
}//namespace test_eulerAngleZX
namespace test_eulerAngleYZ
{
int test()
{
int Error = 0;
glm::vec4 const V(1.0f);
float const AngleY(glm::pi<float>() * 0.5f);
float const AngleZ(glm::pi<float>() * 0.25f);
glm::vec3 const axisX(1.0f, 0.0f, 0.0f);
glm::vec3 const axisY(0.0f, 1.0f, 0.0f);
glm::vec3 const axisZ(0.0f, 0.0f, 1.0f);
glm::vec4 const V1 = (glm::rotate(glm::mat4(1.0f), AngleY, axisY) * glm::rotate(glm::mat4(1.0f), AngleZ, axisZ)) * V;
glm::vec4 const V2 = glm::eulerAngleYZ(AngleY, AngleZ) * V;
glm::vec4 const V3 = glm::eulerAngleY(AngleY) * glm::eulerAngleZ(AngleZ) * V;
Error += glm::all(glm::epsilonEqual(V1, V2, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(V1, V3, 0.00001f)) ? 0 : 1;
return Error;
}
}//namespace test_eulerAngleYZ
namespace test_eulerAngleZY
{
int test()
{
int Error = 0;
glm::vec4 const V(1.0f);
float const AngleY(glm::pi<float>() * 0.5f);
float const AngleZ(glm::pi<float>() * 0.25f);
glm::vec3 const axisX(1.0f, 0.0f, 0.0f);
glm::vec3 const axisY(0.0f, 1.0f, 0.0f);
glm::vec3 const axisZ(0.0f, 0.0f, 1.0f);
glm::vec4 const V1 = (glm::rotate(glm::mat4(1.0f), AngleZ, axisZ) * glm::rotate(glm::mat4(1.0f), AngleY, axisY)) * V;
glm::vec4 const V2 = glm::eulerAngleZY(AngleZ, AngleY) * V;
glm::vec4 const V3 = glm::eulerAngleZ(AngleZ) * glm::eulerAngleY(AngleY) * V;
Error += glm::all(glm::epsilonEqual(V1, V2, 0.00001f)) ? 0 : 1;
Error += glm::all(glm::epsilonEqual(V1, V3, 0.00001f)) ? 0 : 1;
return Error;
}
}//namespace test_eulerAngleZY
namespace test_eulerAngleYXZ
{
int test()
{
glm::f32 first = 1.046f;
glm::f32 second = 0.52f;
glm::f32 third = -0.785f;
glm::fmat4 rotationEuler = glm::eulerAngleYXZ(first, second, third);
glm::fmat4 rotationInvertedY = glm::eulerAngleY(-1.f*first) * glm::eulerAngleX(second) * glm::eulerAngleZ(third);
glm::fmat4 rotationDumb = glm::fmat4();
rotationDumb = glm::rotate(rotationDumb, first, glm::fvec3(0,1,0));
rotationDumb = glm::rotate(rotationDumb, second, glm::fvec3(1,0,0));
rotationDumb = glm::rotate(rotationDumb, third, glm::fvec3(0,0,1));
std::printf("%s\n", glm::to_string(glm::fmat3(rotationEuler)).c_str());
std::printf("%s\n", glm::to_string(glm::fmat3(rotationDumb)).c_str());
std::printf("%s\n", glm::to_string(glm::fmat3(rotationInvertedY)).c_str());
std::printf("\nRESIDUAL\n");
std::printf("%s\n", glm::to_string(glm::fmat3(rotationEuler-(rotationDumb))).c_str());
std::printf("%s\n", glm::to_string(glm::fmat3(rotationEuler-(rotationInvertedY))).c_str());
return 0;
}
}//namespace eulerAngleYXZ
namespace test_eulerAngles
{
template<typename TestRotationFunc>
int test(TestRotationFunc testRotationFunc, glm::vec3 const& I, glm::vec3 const& J, glm::vec3 const& K)
{
int Error = 0;
typedef glm::mat4::value_type value;
value const minAngle(-glm::pi<value>());
value const maxAngle(glm::pi<value>());
value const maxAngleWithDelta(maxAngle - 0.0000001f);
value const minMidAngle(-glm::pi<value>() * 0.5f);
value const maxMidAngle(glm::pi<value>() * 0.5f);
std::vector<glm::vec3> testEulerAngles;
testEulerAngles.push_back(glm::vec3(1.046f, 0.52f, -0.785f));
testEulerAngles.push_back(glm::vec3(minAngle, minMidAngle, minAngle));
testEulerAngles.push_back(glm::vec3(minAngle, minMidAngle, maxAngle));
testEulerAngles.push_back(glm::vec3(minAngle, minMidAngle, maxAngleWithDelta));
testEulerAngles.push_back(glm::vec3(minAngle, maxMidAngle, minAngle));
testEulerAngles.push_back(glm::vec3(minAngle, maxMidAngle, maxAngle));
testEulerAngles.push_back(glm::vec3(minAngle, maxMidAngle, maxAngleWithDelta));
testEulerAngles.push_back(glm::vec3(maxAngle, minMidAngle, minAngle));
testEulerAngles.push_back(glm::vec3(maxAngle, minMidAngle, maxAngle));
testEulerAngles.push_back(glm::vec3(maxAngle, minMidAngle, maxAngleWithDelta));
testEulerAngles.push_back(glm::vec3(maxAngleWithDelta, minMidAngle, maxAngle));
testEulerAngles.push_back(glm::vec3(maxAngleWithDelta, minMidAngle, maxAngleWithDelta));
testEulerAngles.push_back(glm::vec3(maxAngle, maxMidAngle, minAngle));
testEulerAngles.push_back(glm::vec3(maxAngleWithDelta, maxMidAngle, minAngle));
testEulerAngles.push_back(glm::vec3(maxAngle, maxMidAngle, maxAngle));
testEulerAngles.push_back(glm::vec3(maxAngle, maxMidAngle, maxAngleWithDelta));
testEulerAngles.push_back(glm::vec3(maxAngleWithDelta, maxMidAngle, maxAngle));
testEulerAngles.push_back(glm::vec3(maxAngleWithDelta, maxMidAngle, maxAngleWithDelta));
testEulerAngles.push_back(glm::vec3(minAngle, 0.0f, minAngle));
testEulerAngles.push_back(glm::vec3(minAngle, 0.0f, maxAngle));
testEulerAngles.push_back(glm::vec3(maxAngle, maxAngle, minAngle));
testEulerAngles.push_back(glm::vec3(maxAngle, maxAngle, maxAngle));
for (size_t i = 0, size = testEulerAngles.size(); i < size; ++i)
{
glm::vec3 const& angles = testEulerAngles.at(i);
glm::mat4 const rotationEuler = testRotationFunc(angles.x, angles.y, angles.z);
glm::mat4 rotationDumb = glm::diagonal4x4(glm::mat4::col_type(1.0f));
rotationDumb = glm::rotate(rotationDumb, angles.x, I);
rotationDumb = glm::rotate(rotationDumb, angles.y, J);
rotationDumb = glm::rotate(rotationDumb, angles.z, K);
glm::vec4 const V(1.0f,1.0f,1.0f,1.0f);
glm::vec4 const V1 = rotationEuler * V;
glm::vec4 const V2 = rotationDumb * V;
Error += glm::all(glm::epsilonEqual(V1, V2, 0.00001f)) ? 0 : 1;
}
return Error;
}
}//namespace test_extractsEulerAngles
namespace test_extractsEulerAngles
{
template<typename RotationFunc, typename TestExtractionFunc>
int test(RotationFunc rotationFunc, TestExtractionFunc testExtractionFunc)
{
int Error = 0;
typedef glm::mat4::value_type value;
value const minAngle(-glm::pi<value>());
value const maxAngle(glm::pi<value>());
value const maxAngleWithDelta(maxAngle - 0.0000001f);
value const minMidAngle(-glm::pi<value>() * 0.5f);
value const maxMidAngle(glm::pi<value>() * 0.5f);
std::vector<glm::vec3> testEulerAngles;
testEulerAngles.push_back(glm::vec3(1.046f, 0.52f, -0.785f));
testEulerAngles.push_back(glm::vec3(minAngle, minMidAngle, minAngle));
testEulerAngles.push_back(glm::vec3(minAngle, minMidAngle, maxAngle));
testEulerAngles.push_back(glm::vec3(minAngle, minMidAngle, maxAngleWithDelta));
testEulerAngles.push_back(glm::vec3(minAngle, maxMidAngle, minAngle));
testEulerAngles.push_back(glm::vec3(minAngle, maxMidAngle, maxAngle));
testEulerAngles.push_back(glm::vec3(minAngle, maxMidAngle, maxAngleWithDelta));
testEulerAngles.push_back(glm::vec3(maxAngle, minMidAngle, minAngle));
testEulerAngles.push_back(glm::vec3(maxAngle, minMidAngle, maxAngle));
testEulerAngles.push_back(glm::vec3(maxAngle, minMidAngle, maxAngleWithDelta));
testEulerAngles.push_back(glm::vec3(maxAngleWithDelta, minMidAngle, maxAngle));
testEulerAngles.push_back(glm::vec3(maxAngleWithDelta, minMidAngle, maxAngleWithDelta));
testEulerAngles.push_back(glm::vec3(maxAngle, maxMidAngle, minAngle));
testEulerAngles.push_back(glm::vec3(maxAngleWithDelta, maxMidAngle, minAngle));
testEulerAngles.push_back(glm::vec3(maxAngle, maxMidAngle, maxAngle));
testEulerAngles.push_back(glm::vec3(maxAngle, maxMidAngle, maxAngleWithDelta));
testEulerAngles.push_back(glm::vec3(maxAngleWithDelta, maxMidAngle, maxAngle));
testEulerAngles.push_back(glm::vec3(maxAngleWithDelta, maxMidAngle, maxAngleWithDelta));
testEulerAngles.push_back(glm::vec3(minAngle, 0.0f, minAngle));
testEulerAngles.push_back(glm::vec3(minAngle, 0.0f, maxAngle));
testEulerAngles.push_back(glm::vec3(maxAngle, maxAngle, minAngle));
testEulerAngles.push_back(glm::vec3(maxAngle, maxAngle, maxAngle));
for (size_t i = 0, size = testEulerAngles.size(); i < size; ++i)
{
glm::vec3 const& angles = testEulerAngles.at(i);
glm::mat4 const rotation = rotationFunc(angles.x, angles.y, angles.z);
glm::vec3 extractedEulerAngles(0.0f);
testExtractionFunc(rotation, extractedEulerAngles.x, extractedEulerAngles.y, extractedEulerAngles.z);
glm::mat4 const extractedRotation = rotationFunc(extractedEulerAngles.x, extractedEulerAngles.y, extractedEulerAngles.z);
glm::vec4 const V(1.0f,1.0f,1.0f,1.0f);
glm::vec4 const V1 = rotation * V;
glm::vec4 const V2 = extractedRotation * V;
Error += glm::all(glm::epsilonEqual(V1, V2, 0.00001f)) ? 0 : 1;
}
return Error;
}
}//namespace test_extractsEulerAngles
int main()
{
int Error = 0;
typedef glm::mat4::value_type value;
glm::vec3 const X(1.0f, 0.0f, 0.0f);
glm::vec3 const Y(0.0f, 1.0f, 0.0f);
glm::vec3 const Z(0.0f, 0.0f, 1.0f);
Error += test_eulerAngleX::test();
Error += test_eulerAngleY::test();
Error += test_eulerAngleZ::test();
Error += test_derivedEulerAngles::test(glm::eulerAngleX<value>, glm::derivedEulerAngleX<value>, X);
Error += test_derivedEulerAngles::test(glm::eulerAngleY<value>, glm::derivedEulerAngleY<value>, Y);
Error += test_derivedEulerAngles::test(glm::eulerAngleZ<value>, glm::derivedEulerAngleZ<value>, Z);
Error += test_eulerAngleXY::test();
Error += test_eulerAngleYX::test();
Error += test_eulerAngleXZ::test();
Error += test_eulerAngleZX::test();
Error += test_eulerAngleYZ::test();
Error += test_eulerAngleZY::test();
Error += test_eulerAngleYXZ::test();
Error += test_eulerAngles::test(glm::eulerAngleXZX<value>, X, Z, X);
Error += test_eulerAngles::test(glm::eulerAngleXYX<value>, X, Y, X);
Error += test_eulerAngles::test(glm::eulerAngleYXY<value>, Y, X, Y);
Error += test_eulerAngles::test(glm::eulerAngleYZY<value>, Y, Z, Y);
Error += test_eulerAngles::test(glm::eulerAngleZYZ<value>, Z, Y, Z);
Error += test_eulerAngles::test(glm::eulerAngleZXZ<value>, Z, X, Z);
Error += test_eulerAngles::test(glm::eulerAngleXZY<value>, X, Z, Y);
Error += test_eulerAngles::test(glm::eulerAngleYZX<value>, Y, Z, X);
Error += test_eulerAngles::test(glm::eulerAngleZYX<value>, Z, Y, X);
Error += test_eulerAngles::test(glm::eulerAngleZXY<value>, Z, X, Y);
Error += test_extractsEulerAngles::test(glm::eulerAngleYXZ<value>, glm::extractEulerAngleYXZ<value>);
Error += test_extractsEulerAngles::test(glm::eulerAngleXZX<value>, glm::extractEulerAngleXZX<value>);
Error += test_extractsEulerAngles::test(glm::eulerAngleXYX<value>, glm::extractEulerAngleXYX<value>);
Error += test_extractsEulerAngles::test(glm::eulerAngleYXY<value>, glm::extractEulerAngleYXY<value>);
Error += test_extractsEulerAngles::test(glm::eulerAngleYZY<value>, glm::extractEulerAngleYZY<value>);
Error += test_extractsEulerAngles::test(glm::eulerAngleZYZ<value>, glm::extractEulerAngleZYZ<value>);
Error += test_extractsEulerAngles::test(glm::eulerAngleZXZ<value>, glm::extractEulerAngleZXZ<value>);
Error += test_extractsEulerAngles::test(glm::eulerAngleXZY<value>, glm::extractEulerAngleXZY<value>);
Error += test_extractsEulerAngles::test(glm::eulerAngleYZX<value>, glm::extractEulerAngleYZX<value>);
Error += test_extractsEulerAngles::test(glm::eulerAngleZYX<value>, glm::extractEulerAngleZYX<value>);
Error += test_extractsEulerAngles::test(glm::eulerAngleZXY<value>, glm::extractEulerAngleZXY<value>);
return Error;
}
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