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@ -150,7 +150,8 @@ public:
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// -------------------------------------------------------------------
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/** @fn void Decompose(aiVector3t<TReal>& pScaling, aiVector3t<TReal>& pRotation, aiVector3t<TReal>& pPosition) const
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* @brief Decompose a trafo matrix into its original components
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* @brief Decompose a trafo matrix into its original components.
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* Thx to good FAQ at http://www.gamedev.ru/code/articles/faq_matrix_quat
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* @param [out] pScaling - Receives the output scaling for the x,y,z axes.
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* @param [out] pRotation - Receives the output rotation as a Euler angles.
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* @param [out] pPosition - Receives the output position for the x,y,z axes.
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@ -160,6 +161,7 @@ public:
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// -------------------------------------------------------------------
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/** @fn void Decompose(aiVector3t<TReal>& pScaling, aiVector3t<TReal>& pRotationAxis, TReal& pRotationAngle, aiVector3t<TReal>& pPosition) const
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* @brief Decompose a trafo matrix into its original components
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* Thx to good FAQ at http://www.gamedev.ru/code/articles/faq_matrix_quat
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* @param [out] pScaling - Receives the output scaling for the x,y,z axes.
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* @param [out] pRotationAxis - Receives the output rotation axis.
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* @param [out] pRotationAngle - Receives the output rotation angle for @ref pRotationAxis.
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@ -308,25 +308,25 @@ inline bool aiMatrix4x4t<TReal>::Equal(const aiMatrix4x4t<TReal>& m, TReal epsil
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pPosition.y = _this[1][3]; \
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pPosition.z = _this[2][3]; \
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\
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/* extract the rows of the matrix. */ \
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aiVector3t<TReal> vRows[3] = { \
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/* extract the columns of the matrix. */ \
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aiVector3t<TReal> vCols[3] = { \
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aiVector3t<TReal>(_this[0][0],_this[1][0],_this[2][0]), \
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aiVector3t<TReal>(_this[0][1],_this[1][1],_this[2][1]), \
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aiVector3t<TReal>(_this[0][2],_this[1][2],_this[2][2]) \
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}; \
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\
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/* extract the scaling factors */ \
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pScaling.x = vRows[0].Length(); \
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pScaling.y = vRows[1].Length(); \
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pScaling.z = vRows[2].Length(); \
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pScaling.x = vCols[0].Length(); \
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pScaling.y = vCols[1].Length(); \
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pScaling.z = vCols[2].Length(); \
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\
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/* and the sign of the scaling */ \
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if (Determinant() < 0) pScaling = -pScaling; \
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\
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/* and remove all scaling from the matrix */ \
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if(pScaling.x) vRows[0] /= pScaling.x; \
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if(pScaling.y) vRows[1] /= pScaling.y; \
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if(pScaling.z) vRows[2] /= pScaling.z; \
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if(pScaling.x) vCols[0] /= pScaling.x; \
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if(pScaling.y) vCols[1] /= pScaling.y; \
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if(pScaling.z) vCols[2] /= pScaling.z; \
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\
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do {} while(false)
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@ -340,9 +340,9 @@ inline void aiMatrix4x4t<TReal>::Decompose (aiVector3t<TReal>& pScaling, aiQuate
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ASSIMP_MATRIX4_4_DECOMPOSE_PART;
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// build a 3x3 rotation matrix
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aiMatrix3x3t<TReal> m(vRows[0].x,vRows[1].x,vRows[2].x,
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vRows[0].y,vRows[1].y,vRows[2].y,
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vRows[0].z,vRows[1].z,vRows[2].z);
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aiMatrix3x3t<TReal> m(vCols[0].x,vCols[1].x,vCols[2].x,
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vCols[0].y,vCols[1].y,vCols[2].y,
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vCols[0].z,vCols[1].z,vCols[2].z);
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// and generate the rotation quaternion from it
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pRotation = aiQuaterniont<TReal>(m);
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@ -354,45 +354,42 @@ inline void aiMatrix4x4t<TReal>::Decompose(aiVector3t<TReal>& pScaling, aiVector
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ASSIMP_MATRIX4_4_DECOMPOSE_PART;
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/*
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| CE -CF -D 0 |
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M = | -BDE+AF BDF+AE -BC 0 |
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| ADE+BF -ADF+BE AC 0 |
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| CE -CF D 0 |
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M = | BDE+AF -BDF+AE -BC 0 |
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| -ADE+BF -ADF+BE AC 0 |
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| 0 0 0 1 |
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A = cos(angle_x);
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B = sin(angle_x);
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C = cos(angle_y);
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D = sin(angle_y);
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E = cos(angle_z);
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F = sin(angle_z);
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A = cos(angle_x), B = sin(angle_x);
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C = cos(angle_y), D = sin(angle_y);
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E = cos(angle_z), F = sin(angle_z);
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*/
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// Use a small epsilon to solve floating-point inaccuracies
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constexpr TReal epsilon = 10e-3f;
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pRotation.y = -asin(_this[0][2]);// Angle around oY.
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pRotation.y = asin(vCols[2].x);// D. Angle around oY.
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TReal C = cos(pRotation.y);
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if(fabs(C) > epsilon)
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{
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// Finding angle around oX.
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TReal tan_x = _this[2][2] / C;
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TReal tan_y = -_this[1][2] / C;
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TReal tan_x = vCols[2].z / C;// A
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TReal tan_y = -vCols[2].y / C;// B
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pRotation.x = atan2(tan_y, tan_x);
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// Finding angle around oZ.
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tan_x = _this[0][0] / C;
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tan_y = -_this[0][1] / C;
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tan_x = vCols[0].x / C;// E
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tan_y = -vCols[1].x / C;// F
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pRotation.z = atan2(tan_y, tan_x);
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}
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else
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{
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pRotation.x = 0;// Set angle around oX to 0.
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{// oY is fixed.
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pRotation.x = 0;// Set angle around oX to 0. => A == 1, B == 0, C == 0, D == 1.
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// And finding angle around oZ.
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TReal tan_x = _this[1][1];
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TReal tan_y = _this[1][0];
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TReal tan_x = vCols[1].y;// -BDF+AE => E
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TReal tan_y = vCols[0].y;// BDE+AF => F
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pRotation.z = atan2(tan_y, tan_x);
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}
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