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			540 lines
		
	
	
		
			22 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
		
		
			
		
	
	
			540 lines
		
	
	
		
			22 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
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								// Code sample from Filippo Ramaciotti
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								#define GLM_ENABLE_EXPERIMENTAL
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								#include <glm/gtc/matrix_transform.hpp>
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								#include <glm/gtx/matrix_cross_product.hpp>
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								#include <glm/gtx/matrix_operation.hpp>
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								#include <glm/gtc/epsilon.hpp>
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								#include <glm/gtx/string_cast.hpp>
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								#include <glm/gtx/euler_angles.hpp>
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								#include <cstdio>
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								#include <vector>
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								#include <utility>
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								namespace test_eulerAngleX
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								{
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									int test()
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									{
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										int Error = 0;
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										float const Angle(glm::pi<float>() * 0.5f);
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										glm::vec3 const X(1.0f, 0.0f, 0.0f);
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										glm::vec4 const Y(0.0f, 1.0f, 0.0f, 1.0f);
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										glm::vec4 const Y1 = glm::rotate(glm::mat4(1.0f), Angle, X) * Y;
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										glm::vec4 const Y2 = glm::eulerAngleX(Angle) * Y;
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										glm::vec4 const Y3 = glm::eulerAngleXY(Angle, 0.0f) * Y;
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										glm::vec4 const Y4 = glm::eulerAngleYX(0.0f, Angle) * Y;
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										glm::vec4 const Y5 = glm::eulerAngleXZ(Angle, 0.0f) * Y;
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										glm::vec4 const Y6 = glm::eulerAngleZX(0.0f, Angle) * Y;
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										glm::vec4 const Y7 = glm::eulerAngleYXZ(0.0f, Angle, 0.0f) * Y;
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										Error += glm::all(glm::epsilonEqual(Y1, Y2, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Y1, Y3, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Y1, Y4, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Y1, Y5, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Y1, Y6, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Y1, Y7, 0.00001f)) ? 0 : 1;
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										glm::vec4 const Z(0.0f, 0.0f, 1.0f, 1.0f);
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										glm::vec4 const Z1 = glm::rotate(glm::mat4(1.0f), Angle, X) * Z;
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										glm::vec4 const Z2 = glm::eulerAngleX(Angle) * Z;
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										glm::vec4 const Z3 = glm::eulerAngleXY(Angle, 0.0f) * Z;
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										glm::vec4 const Z4 = glm::eulerAngleYX(0.0f, Angle) * Z;
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										glm::vec4 const Z5 = glm::eulerAngleXZ(Angle, 0.0f) * Z;
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										glm::vec4 const Z6 = glm::eulerAngleZX(0.0f, Angle) * Z;
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										glm::vec4 const Z7 = glm::eulerAngleYXZ(0.0f, Angle, 0.0f) * Z;
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										Error += glm::all(glm::epsilonEqual(Z1, Z2, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Z1, Z3, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Z1, Z4, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Z1, Z5, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Z1, Z6, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Z1, Z7, 0.00001f)) ? 0 : 1;
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										return Error;
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									}
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								}//namespace test_eulerAngleX
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								namespace test_eulerAngleY
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								{
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									int test()
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									{
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										int Error = 0;
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										float const Angle(glm::pi<float>() * 0.5f);
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										glm::vec3 const Y(0.0f, 1.0f, 0.0f);
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										glm::vec4 const X(1.0f, 0.0f, 0.0f, 1.0f);
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										glm::vec4 const X1 = glm::rotate(glm::mat4(1.0f), Angle, Y) * X;
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										glm::vec4 const X2 = glm::eulerAngleY(Angle) * X;
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										glm::vec4 const X3 = glm::eulerAngleYX(Angle, 0.0f) * X;
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										glm::vec4 const X4 = glm::eulerAngleXY(0.0f, Angle) * X;
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										glm::vec4 const X5 = glm::eulerAngleYZ(Angle, 0.0f) * X;
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										glm::vec4 const X6 = glm::eulerAngleZY(0.0f, Angle) * X;
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										glm::vec4 const X7 = glm::eulerAngleYXZ(Angle, 0.0f, 0.0f) * X;
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										Error += glm::all(glm::epsilonEqual(X1, X2, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(X1, X3, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(X1, X4, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(X1, X5, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(X1, X6, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(X1, X7, 0.00001f)) ? 0 : 1;
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										glm::vec4 const Z(0.0f, 0.0f, 1.0f, 1.0f);
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										glm::vec4 const Z1 = glm::eulerAngleY(Angle) * Z;
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										glm::vec4 const Z2 = glm::rotate(glm::mat4(1.0f), Angle, Y) * Z;
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										glm::vec4 const Z3 = glm::eulerAngleYX(Angle, 0.0f) * Z;
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										glm::vec4 const Z4 = glm::eulerAngleXY(0.0f, Angle) * Z;
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										glm::vec4 const Z5 = glm::eulerAngleYZ(Angle, 0.0f) * Z;
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										glm::vec4 const Z6 = glm::eulerAngleZY(0.0f, Angle) * Z;
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										glm::vec4 const Z7 = glm::eulerAngleYXZ(Angle, 0.0f, 0.0f) * Z;
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										Error += glm::all(glm::epsilonEqual(Z1, Z2, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Z1, Z3, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Z1, Z4, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Z1, Z5, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Z1, Z6, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Z1, Z7, 0.00001f)) ? 0 : 1;
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										return Error;
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									}
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								}//namespace test_eulerAngleY
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								namespace test_eulerAngleZ
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								{
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									int test()
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									{
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										int Error = 0;
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										float const Angle(glm::pi<float>() * 0.5f);
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										glm::vec3 const Z(0.0f, 0.0f, 1.0f);
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										glm::vec4 const X(1.0f, 0.0f, 0.0f, 1.0f);
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										glm::vec4 const X1 = glm::rotate(glm::mat4(1.0f), Angle, Z) * X;
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										glm::vec4 const X2 = glm::eulerAngleZ(Angle) * X;
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										glm::vec4 const X3 = glm::eulerAngleZX(Angle, 0.0f) * X;
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										glm::vec4 const X4 = glm::eulerAngleXZ(0.0f, Angle) * X;
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										glm::vec4 const X5 = glm::eulerAngleZY(Angle, 0.0f) * X;
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										glm::vec4 const X6 = glm::eulerAngleYZ(0.0f, Angle) * X;
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										glm::vec4 const X7 = glm::eulerAngleYXZ(0.0f, 0.0f, Angle) * X;
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										Error += glm::all(glm::epsilonEqual(X1, X2, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(X1, X3, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(X1, X4, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(X1, X5, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(X1, X6, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(X1, X7, 0.00001f)) ? 0 : 1;
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										glm::vec4 const Y(1.0f, 0.0f, 0.0f, 1.0f);
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										glm::vec4 const Z1 = glm::rotate(glm::mat4(1.0f), Angle, Z) * Y;
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										glm::vec4 const Z2 = glm::eulerAngleZ(Angle) * Y;
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										glm::vec4 const Z3 = glm::eulerAngleZX(Angle, 0.0f) * Y;
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										glm::vec4 const Z4 = glm::eulerAngleXZ(0.0f, Angle) * Y;
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										glm::vec4 const Z5 = glm::eulerAngleZY(Angle, 0.0f) * Y;
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										glm::vec4 const Z6 = glm::eulerAngleYZ(0.0f, Angle) * Y;
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										glm::vec4 const Z7 = glm::eulerAngleYXZ(0.0f, 0.0f, Angle) * Y;
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										Error += glm::all(glm::epsilonEqual(Z1, Z2, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Z1, Z3, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Z1, Z4, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Z1, Z5, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Z1, Z6, 0.00001f)) ? 0 : 1;
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										Error += glm::all(glm::epsilonEqual(Z1, Z7, 0.00001f)) ? 0 : 1;
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										return Error;
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									}
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								}//namespace test_eulerAngleZ
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								namespace test_derivedEulerAngles
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								{
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									bool epsilonEqual(glm::mat4 const& mat1, glm::mat4 const& mat2, glm::mat4::value_type const& epsilon)
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									{
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										return glm::all(glm::epsilonEqual(mat1[0], mat2[0], epsilon)) ?
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												(
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													glm::all(glm::epsilonEqual(mat1[1], mat2[1], epsilon)) ?
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													(
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														glm::all(glm::epsilonEqual(mat1[2], mat2[2], epsilon)) ?
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														(
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															glm::all(glm::epsilonEqual(mat1[3], mat2[3], epsilon)) ? true : false
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														) : false
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													) : false
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												) : false;
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									}
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									template<typename RotationFunc, typename TestDerivedFunc>
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									int test(RotationFunc rotationFunc, TestDerivedFunc testDerivedFunc, const glm::vec3& basis)
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									{
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										int Error = 0;
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										typedef glm::vec3::value_type value;
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										value const zeroAngle(0.0f);
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										value const Angle(glm::pi<float>() * 0.75f);
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										value const negativeAngle(-Angle);
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										value const zeroAngleVelocity(0.0f);
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										value const AngleVelocity(glm::pi<float>() * 0.27f);
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										value const negativeAngleVelocity(-AngleVelocity);
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										typedef std::pair<value,value> AngleAndAngleVelocity;
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										std::vector<AngleAndAngleVelocity> testPairs;
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										testPairs.push_back(AngleAndAngleVelocity(zeroAngle, zeroAngleVelocity));
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										testPairs.push_back(AngleAndAngleVelocity(zeroAngle, AngleVelocity));
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										testPairs.push_back(AngleAndAngleVelocity(zeroAngle, negativeAngleVelocity));
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										testPairs.push_back(AngleAndAngleVelocity(Angle, zeroAngleVelocity));
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										testPairs.push_back(AngleAndAngleVelocity(Angle, AngleVelocity));
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										testPairs.push_back(AngleAndAngleVelocity(Angle, negativeAngleVelocity));
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										testPairs.push_back(AngleAndAngleVelocity(negativeAngle, zeroAngleVelocity));
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										testPairs.push_back(AngleAndAngleVelocity(negativeAngle, AngleVelocity));
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										testPairs.push_back(AngleAndAngleVelocity(negativeAngle, negativeAngleVelocity));
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										for (size_t i = 0, size = testPairs.size(); i < size; ++i)
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										{
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											AngleAndAngleVelocity const& pair = testPairs.at(i);
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											glm::mat4 const W = glm::matrixCross4(basis * pair.second);
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											glm::mat4 const rotMt = glm::transpose(rotationFunc(pair.first));
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											glm::mat4 const derivedRotM = testDerivedFunc(pair.first, pair.second);
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											Error += epsilonEqual(W, derivedRotM * rotMt, 0.00001f) ? 0 : 1;
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										}
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										return Error;
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									}
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								}//namespace test_derivedEulerAngles
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							 | 
						||
| 
								 | 
							
								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; 
							 | 
						||
| 
								 | 
							
								}
							 |