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							| @@ -0,0 +1,312 @@ | ||||
| /// @ref gtx_euler_angles | ||||
| /// @file glm/gtx/euler_angles.inl | ||||
|  | ||||
| #include "compatibility.hpp" // glm::atan2 | ||||
|  | ||||
| namespace glm | ||||
| { | ||||
| 	template <typename T> | ||||
| 	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleX | ||||
| 	( | ||||
| 		T const & angleX | ||||
| 	) | ||||
| 	{ | ||||
| 		T cosX = glm::cos(angleX); | ||||
| 		T sinX = glm::sin(angleX); | ||||
| 	 | ||||
| 		return tmat4x4<T, defaultp>( | ||||
| 			T(1), T(0), T(0), T(0), | ||||
| 			T(0), cosX, sinX, T(0), | ||||
| 			T(0),-sinX, cosX, T(0), | ||||
| 			T(0), T(0), T(0), T(1)); | ||||
| 	} | ||||
|  | ||||
| 	template <typename T> | ||||
| 	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleY | ||||
| 	( | ||||
| 		T const & angleY | ||||
| 	) | ||||
| 	{ | ||||
| 		T cosY = glm::cos(angleY); | ||||
| 		T sinY = glm::sin(angleY); | ||||
|  | ||||
| 		return tmat4x4<T, defaultp>( | ||||
| 			cosY,	T(0),	-sinY,	T(0), | ||||
| 			T(0),	T(1),	T(0),	T(0), | ||||
| 			sinY,	T(0),	cosY,	T(0), | ||||
| 			T(0),	T(0),	T(0),	T(1)); | ||||
| 	} | ||||
|  | ||||
| 	template <typename T> | ||||
| 	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleZ | ||||
| 	( | ||||
| 		T const & angleZ | ||||
| 	) | ||||
| 	{ | ||||
| 		T cosZ = glm::cos(angleZ); | ||||
| 		T sinZ = glm::sin(angleZ); | ||||
|  | ||||
| 		return tmat4x4<T, defaultp>( | ||||
| 			cosZ,	sinZ,	T(0), T(0), | ||||
| 			-sinZ,	cosZ,	T(0), T(0), | ||||
| 			T(0),	T(0),	T(1), T(0), | ||||
| 			T(0),	T(0),	T(0), T(1)); | ||||
| 	} | ||||
|  | ||||
| 	template <typename T> | ||||
| 	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleXY | ||||
| 	( | ||||
| 		T const & angleX, | ||||
| 		T const & angleY | ||||
| 	) | ||||
| 	{ | ||||
| 		T cosX = glm::cos(angleX); | ||||
| 		T sinX = glm::sin(angleX); | ||||
| 		T cosY = glm::cos(angleY); | ||||
| 		T sinY = glm::sin(angleY); | ||||
|  | ||||
| 		return tmat4x4<T, defaultp>( | ||||
| 			cosY,   -sinX * -sinY,  cosX * -sinY,   T(0), | ||||
| 			T(0),   cosX,           sinX,           T(0), | ||||
| 			sinY,   -sinX * cosY,   cosX * cosY,    T(0), | ||||
| 			T(0),   T(0),           T(0),           T(1)); | ||||
| 	} | ||||
|  | ||||
| 	template <typename T> | ||||
| 	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleYX | ||||
| 	( | ||||
| 		T const & angleY, | ||||
| 		T const & angleX | ||||
| 	) | ||||
| 	{ | ||||
| 		T cosX = glm::cos(angleX); | ||||
| 		T sinX = glm::sin(angleX); | ||||
| 		T cosY = glm::cos(angleY); | ||||
| 		T sinY = glm::sin(angleY); | ||||
|  | ||||
| 		return tmat4x4<T, defaultp>( | ||||
| 			cosY,          0,      -sinY,    T(0), | ||||
| 			sinY * sinX,  cosX, cosY * sinX, T(0), | ||||
| 			sinY * cosX, -sinX, cosY * cosX, T(0), | ||||
| 			T(0),         T(0),     T(0),    T(1)); | ||||
| 	} | ||||
|  | ||||
| 	template <typename T> | ||||
| 	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleXZ | ||||
| 	( | ||||
| 		T const & angleX, | ||||
| 		T const & angleZ | ||||
| 	) | ||||
| 	{ | ||||
| 		return eulerAngleX(angleX) * eulerAngleZ(angleZ); | ||||
| 	} | ||||
|  | ||||
| 	template <typename T> | ||||
| 	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleZX | ||||
| 	( | ||||
| 		T const & angleZ, | ||||
| 		T const & angleX | ||||
| 	) | ||||
| 	{ | ||||
| 		return eulerAngleZ(angleZ) * eulerAngleX(angleX); | ||||
| 	} | ||||
|  | ||||
| 	template <typename T> | ||||
| 	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleYZ | ||||
| 	( | ||||
| 		T const & angleY, | ||||
| 		T const & angleZ | ||||
| 	) | ||||
| 	{ | ||||
| 		return eulerAngleY(angleY) * eulerAngleZ(angleZ); | ||||
| 	} | ||||
|  | ||||
| 	template <typename T> | ||||
| 	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleZY | ||||
| 	( | ||||
| 		T const & angleZ, | ||||
| 		T const & angleY | ||||
| 	) | ||||
| 	{ | ||||
| 		return eulerAngleZ(angleZ) * eulerAngleY(angleY); | ||||
| 	} | ||||
|      | ||||
|     template <typename T> | ||||
|     GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleXYZ | ||||
|     ( | ||||
|      T const & t1, | ||||
|      T const & t2, | ||||
|      T const & t3 | ||||
|      ) | ||||
|     { | ||||
|         T c1 = glm::cos(-t1); | ||||
|         T c2 = glm::cos(-t2); | ||||
|         T c3 = glm::cos(-t3); | ||||
|         T s1 = glm::sin(-t1); | ||||
|         T s2 = glm::sin(-t2); | ||||
|         T s3 = glm::sin(-t3); | ||||
|          | ||||
|         tmat4x4<T, defaultp> Result; | ||||
|         Result[0][0] = c2 * c3; | ||||
|         Result[0][1] =-c1 * s3 + s1 * s2 * c3; | ||||
|         Result[0][2] = s1 * s3 + c1 * s2 * c3; | ||||
|         Result[0][3] = static_cast<T>(0); | ||||
|         Result[1][0] = c2 * s3; | ||||
|         Result[1][1] = c1 * c3 + s1 * s2 * s3; | ||||
|         Result[1][2] =-s1 * c3 + c1 * s2 * s3; | ||||
|         Result[1][3] = static_cast<T>(0); | ||||
|         Result[2][0] =-s2; | ||||
|         Result[2][1] = s1 * c2; | ||||
|         Result[2][2] = c1 * c2; | ||||
|         Result[2][3] = static_cast<T>(0); | ||||
|         Result[3][0] = static_cast<T>(0); | ||||
|         Result[3][1] = static_cast<T>(0); | ||||
|         Result[3][2] = static_cast<T>(0); | ||||
|         Result[3][3] = static_cast<T>(1); | ||||
|         return Result; | ||||
|     } | ||||
|      | ||||
| 	template <typename T> | ||||
| 	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleYXZ | ||||
| 	( | ||||
| 		T const & yaw, | ||||
| 		T const & pitch, | ||||
| 		T const & roll | ||||
| 	) | ||||
| 	{ | ||||
| 		T tmp_ch = glm::cos(yaw); | ||||
| 		T tmp_sh = glm::sin(yaw); | ||||
| 		T tmp_cp = glm::cos(pitch); | ||||
| 		T tmp_sp = glm::sin(pitch); | ||||
| 		T tmp_cb = glm::cos(roll); | ||||
| 		T tmp_sb = glm::sin(roll); | ||||
|  | ||||
| 		tmat4x4<T, defaultp> Result; | ||||
| 		Result[0][0] = tmp_ch * tmp_cb + tmp_sh * tmp_sp * tmp_sb; | ||||
| 		Result[0][1] = tmp_sb * tmp_cp; | ||||
| 		Result[0][2] = -tmp_sh * tmp_cb + tmp_ch * tmp_sp * tmp_sb; | ||||
| 		Result[0][3] = static_cast<T>(0); | ||||
| 		Result[1][0] = -tmp_ch * tmp_sb + tmp_sh * tmp_sp * tmp_cb; | ||||
| 		Result[1][1] = tmp_cb * tmp_cp; | ||||
| 		Result[1][2] = tmp_sb * tmp_sh + tmp_ch * tmp_sp * tmp_cb; | ||||
| 		Result[1][3] = static_cast<T>(0); | ||||
| 		Result[2][0] = tmp_sh * tmp_cp; | ||||
| 		Result[2][1] = -tmp_sp; | ||||
| 		Result[2][2] = tmp_ch * tmp_cp; | ||||
| 		Result[2][3] = static_cast<T>(0); | ||||
| 		Result[3][0] = static_cast<T>(0); | ||||
| 		Result[3][1] = static_cast<T>(0); | ||||
| 		Result[3][2] = static_cast<T>(0); | ||||
| 		Result[3][3] = static_cast<T>(1); | ||||
| 		return Result; | ||||
| 	} | ||||
|  | ||||
| 	template <typename T> | ||||
| 	GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> yawPitchRoll | ||||
| 	( | ||||
| 		T const & yaw, | ||||
| 		T const & pitch, | ||||
| 		T const & roll | ||||
| 	) | ||||
| 	{ | ||||
| 		T tmp_ch = glm::cos(yaw); | ||||
| 		T tmp_sh = glm::sin(yaw); | ||||
| 		T tmp_cp = glm::cos(pitch); | ||||
| 		T tmp_sp = glm::sin(pitch); | ||||
| 		T tmp_cb = glm::cos(roll); | ||||
| 		T tmp_sb = glm::sin(roll); | ||||
|  | ||||
| 		tmat4x4<T, defaultp> Result; | ||||
| 		Result[0][0] = tmp_ch * tmp_cb + tmp_sh * tmp_sp * tmp_sb; | ||||
| 		Result[0][1] = tmp_sb * tmp_cp; | ||||
| 		Result[0][2] = -tmp_sh * tmp_cb + tmp_ch * tmp_sp * tmp_sb; | ||||
| 		Result[0][3] = static_cast<T>(0); | ||||
| 		Result[1][0] = -tmp_ch * tmp_sb + tmp_sh * tmp_sp * tmp_cb; | ||||
| 		Result[1][1] = tmp_cb * tmp_cp; | ||||
| 		Result[1][2] = tmp_sb * tmp_sh + tmp_ch * tmp_sp * tmp_cb; | ||||
| 		Result[1][3] = static_cast<T>(0); | ||||
| 		Result[2][0] = tmp_sh * tmp_cp; | ||||
| 		Result[2][1] = -tmp_sp; | ||||
| 		Result[2][2] = tmp_ch * tmp_cp; | ||||
| 		Result[2][3] = static_cast<T>(0); | ||||
| 		Result[3][0] = static_cast<T>(0); | ||||
| 		Result[3][1] = static_cast<T>(0); | ||||
| 		Result[3][2] = static_cast<T>(0); | ||||
| 		Result[3][3] = static_cast<T>(1); | ||||
| 		return Result; | ||||
| 	} | ||||
|  | ||||
| 	template <typename T> | ||||
| 	GLM_FUNC_QUALIFIER tmat2x2<T, defaultp> orientate2 | ||||
| 	( | ||||
| 		T const & angle | ||||
| 	) | ||||
| 	{ | ||||
| 		T c = glm::cos(angle); | ||||
| 		T s = glm::sin(angle); | ||||
|  | ||||
| 		tmat2x2<T, defaultp> Result; | ||||
| 		Result[0][0] = c; | ||||
| 		Result[0][1] = s; | ||||
| 		Result[1][0] = -s; | ||||
| 		Result[1][1] = c; | ||||
| 		return Result; | ||||
| 	} | ||||
|  | ||||
| 	template <typename T> | ||||
| 	GLM_FUNC_QUALIFIER tmat3x3<T, defaultp> orientate3 | ||||
| 	( | ||||
| 		T const & angle | ||||
| 	) | ||||
| 	{ | ||||
| 		T c = glm::cos(angle); | ||||
| 		T s = glm::sin(angle); | ||||
|  | ||||
| 		tmat3x3<T, defaultp> Result; | ||||
| 		Result[0][0] = c; | ||||
| 		Result[0][1] = s; | ||||
| 		Result[0][2] = 0.0f; | ||||
| 		Result[1][0] = -s; | ||||
| 		Result[1][1] = c; | ||||
| 		Result[1][2] = 0.0f; | ||||
| 		Result[2][0] = 0.0f; | ||||
| 		Result[2][1] = 0.0f; | ||||
| 		Result[2][2] = 1.0f; | ||||
| 		return Result; | ||||
| 	} | ||||
|  | ||||
| 	template <typename T, precision P> | ||||
| 	GLM_FUNC_QUALIFIER tmat3x3<T, P> orientate3 | ||||
| 	( | ||||
| 		tvec3<T, P> const & angles | ||||
| 	) | ||||
| 	{ | ||||
| 		return tmat3x3<T, P>(yawPitchRoll(angles.z, angles.x, angles.y)); | ||||
| 	} | ||||
|  | ||||
| 	template <typename T, precision P> | ||||
| 	GLM_FUNC_QUALIFIER tmat4x4<T, P> orientate4 | ||||
| 	( | ||||
| 		tvec3<T, P> const & angles | ||||
| 	) | ||||
| 	{ | ||||
| 		return yawPitchRoll(angles.z, angles.x, angles.y); | ||||
| 	} | ||||
|      | ||||
|     template <typename T> | ||||
|     GLM_FUNC_DECL void extractEulerAngleXYZ(tmat4x4<T, defaultp> const & M, | ||||
|                                             T & t1, | ||||
|                                             T & t2, | ||||
|                                             T & t3) | ||||
|     { | ||||
|         float T1 = glm::atan2<T, defaultp>(M[2][1], M[2][2]); | ||||
|         float C2 = glm::sqrt(M[0][0]*M[0][0] + M[1][0]*M[1][0]); | ||||
|         float T2 = glm::atan2<T, defaultp>(-M[2][0], C2); | ||||
|         float S1 = glm::sin(T1); | ||||
|         float C1 = glm::cos(T1); | ||||
|         float T3 = glm::atan2<T, defaultp>(S1*M[0][2] - C1*M[0][1], C1*M[1][1] - S1*M[1][2  ]); | ||||
|         t1 = -T1; | ||||
|         t2 = -T2; | ||||
|         t3 = -T3; | ||||
|     } | ||||
| }//namespace glm | ||||
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