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+/*
+---------------------------------------------------------------------------
+Open Asset Import Library (assimp)
+---------------------------------------------------------------------------
+
+Copyright (c) 2006-2022, assimp team
+
+
+
+All rights reserved.
+
+Redistribution and use of this software in source and binary forms,
+with or without modification, are permitted provided that the following
+conditions are met:
+
+* Redistributions of source code must retain the above
+ copyright notice, this list of conditions and the
+ following disclaimer.
+
+* Redistributions in binary form must reproduce the above
+ copyright notice, this list of conditions and the
+ following disclaimer in the documentation and/or other
+ materials provided with the distribution.
+
+* Neither the name of the assimp team, nor the names of its
+ contributors may be used to endorse or promote products
+ derived from this software without specific prior
+ written permission of the assimp team.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+---------------------------------------------------------------------------
+*/
+/** @file matrix4x4.h
+ * @brief 4x4 matrix structure, including operators when compiling in C++
+ */
+#pragma once
+#ifndef AI_MATRIX4X4_H_INC
+#define AI_MATRIX4X4_H_INC
+
+#ifdef __GNUC__
+# pragma GCC system_header
+#endif
+
+#include <assimp/vector3.h>
+#include <assimp/defs.h>
+
+#ifdef __cplusplus
+
+template<typename TReal> class aiMatrix3x3t;
+template<typename TReal> class aiQuaterniont;
+
+// ---------------------------------------------------------------------------
+/** @brief Represents a row-major 4x4 matrix, use this for homogeneous
+ * coordinates.
+ *
+ * There's much confusion about matrix layouts (column vs. row order).
+ * This is *always* a row-major matrix. Not even with the
+ * #aiProcess_ConvertToLeftHanded flag, which absolutely does not affect
+ * matrix order - it just affects the handedness of the coordinate system
+ * defined thereby.
+ */
+template<typename TReal>
+class aiMatrix4x4t {
+public:
+
+ /** set to identity */
+ aiMatrix4x4t() AI_NO_EXCEPT;
+
+ /** construction from single values */
+ aiMatrix4x4t ( TReal _a1, TReal _a2, TReal _a3, TReal _a4,
+ TReal _b1, TReal _b2, TReal _b3, TReal _b4,
+ TReal _c1, TReal _c2, TReal _c3, TReal _c4,
+ TReal _d1, TReal _d2, TReal _d3, TReal _d4);
+
+
+ /** construction from 3x3 matrix, remaining elements are set to identity */
+ explicit aiMatrix4x4t( const aiMatrix3x3t<TReal>& m);
+
+ /** construction from position, rotation and scaling components
+ * @param scaling The scaling for the x,y,z axes
+ * @param rotation The rotation as a hamilton quaternion
+ * @param position The position for the x,y,z axes
+ */
+ aiMatrix4x4t(const aiVector3t<TReal>& scaling, const aiQuaterniont<TReal>& rotation,
+ const aiVector3t<TReal>& position);
+
+ // array access operators
+ /** @fn TReal* operator[] (unsigned int p_iIndex)
+ * @param [in] p_iIndex - index of the row.
+ * @return pointer to pointed row.
+ */
+ TReal* operator[] (unsigned int p_iIndex);
+
+ /** @fn const TReal* operator[] (unsigned int p_iIndex) const
+ * @overload TReal* operator[] (unsigned int p_iIndex)
+ */
+ const TReal* operator[] (unsigned int p_iIndex) const;
+
+ // comparison operators
+ bool operator== (const aiMatrix4x4t& m) const;
+ bool operator!= (const aiMatrix4x4t& m) const;
+
+ bool Equal(const aiMatrix4x4t &m, TReal epsilon = ai_epsilon) const;
+
+ // matrix multiplication.
+ aiMatrix4x4t& operator *= (const aiMatrix4x4t& m);
+ aiMatrix4x4t operator * (const aiMatrix4x4t& m) const;
+ aiMatrix4x4t operator * (const TReal& aFloat) const;
+ aiMatrix4x4t operator + (const aiMatrix4x4t& aMatrix) const;
+
+ template <typename TOther>
+ operator aiMatrix4x4t<TOther> () const;
+
+ // -------------------------------------------------------------------
+ /** @brief Transpose the matrix */
+ aiMatrix4x4t& Transpose();
+
+ // -------------------------------------------------------------------
+ /** @brief Invert the matrix.
+ * If the matrix is not invertible all elements are set to qnan.
+ * Beware, use (f != f) to check whether a TReal f is qnan.
+ */
+ aiMatrix4x4t& Inverse();
+ TReal Determinant() const;
+
+
+ // -------------------------------------------------------------------
+ /** @brief Returns true of the matrix is the identity matrix.
+ * The check is performed against a not so small epsilon.
+ */
+ inline bool IsIdentity() const;
+
+ // -------------------------------------------------------------------
+ /** @brief Decompose a trafo matrix into its original components
+ * @param scaling Receives the output scaling for the x,y,z axes
+ * @param rotation Receives the output rotation as a hamilton
+ * quaternion
+ * @param position Receives the output position for the x,y,z axes
+ */
+ void Decompose (aiVector3t<TReal>& scaling, aiQuaterniont<TReal>& rotation,
+ aiVector3t<TReal>& position) const;
+
+ // -------------------------------------------------------------------
+ /** @fn void Decompose(aiVector3t<TReal>& pScaling, aiVector3t<TReal>& pRotation, aiVector3t<TReal>& pPosition) const
+ * @brief Decompose a trafo matrix into its original components.
+ * Thx to good FAQ at http://www.gamedev.ru/code/articles/faq_matrix_quat
+ * @param [out] pScaling - Receives the output scaling for the x,y,z axes.
+ * @param [out] pRotation - Receives the output rotation as a Euler angles.
+ * @param [out] pPosition - Receives the output position for the x,y,z axes.
+ */
+ void Decompose(aiVector3t<TReal>& pScaling, aiVector3t<TReal>& pRotation, aiVector3t<TReal>& pPosition) const;
+
+ // -------------------------------------------------------------------
+ /** @fn void Decompose(aiVector3t<TReal>& pScaling, aiVector3t<TReal>& pRotationAxis, TReal& pRotationAngle, aiVector3t<TReal>& pPosition) const
+ * @brief Decompose a trafo matrix into its original components
+ * Thx to good FAQ at http://www.gamedev.ru/code/articles/faq_matrix_quat
+ * @param [out] pScaling - Receives the output scaling for the x,y,z axes.
+ * @param [out] pRotationAxis - Receives the output rotation axis.
+ * @param [out] pRotationAngle - Receives the output rotation angle for @ref pRotationAxis.
+ * @param [out] pPosition - Receives the output position for the x,y,z axes.
+ */
+ void Decompose(aiVector3t<TReal>& pScaling, aiVector3t<TReal>& pRotationAxis, TReal& pRotationAngle, aiVector3t<TReal>& pPosition) const;
+
+ // -------------------------------------------------------------------
+ /** @brief Decompose a trafo matrix with no scaling into its
+ * original components
+ * @param rotation Receives the output rotation as a hamilton
+ * quaternion
+ * @param position Receives the output position for the x,y,z axes
+ */
+ void DecomposeNoScaling (aiQuaterniont<TReal>& rotation,
+ aiVector3t<TReal>& position) const;
+
+ // -------------------------------------------------------------------
+ /** @brief Creates a trafo matrix from a set of euler angles
+ * @param x Rotation angle for the x-axis, in radians
+ * @param y Rotation angle for the y-axis, in radians
+ * @param z Rotation angle for the z-axis, in radians
+ */
+ aiMatrix4x4t& FromEulerAnglesXYZ(TReal x, TReal y, TReal z);
+ aiMatrix4x4t& FromEulerAnglesXYZ(const aiVector3t<TReal>& blubb);
+
+ // -------------------------------------------------------------------
+ /** @brief Returns a rotation matrix for a rotation around the x axis
+ * @param a Rotation angle, in radians
+ * @param out Receives the output matrix
+ * @return Reference to the output matrix
+ */
+ static aiMatrix4x4t& RotationX(TReal a, aiMatrix4x4t& out);
+
+ // -------------------------------------------------------------------
+ /** @brief Returns a rotation matrix for a rotation around the y axis
+ * @param a Rotation angle, in radians
+ * @param out Receives the output matrix
+ * @return Reference to the output matrix
+ */
+ static aiMatrix4x4t& RotationY(TReal a, aiMatrix4x4t& out);
+
+ // -------------------------------------------------------------------
+ /** @brief Returns a rotation matrix for a rotation around the z axis
+ * @param a Rotation angle, in radians
+ * @param out Receives the output matrix
+ * @return Reference to the output matrix
+ */
+ static aiMatrix4x4t& RotationZ(TReal a, aiMatrix4x4t& out);
+
+ // -------------------------------------------------------------------
+ /** Returns a rotation matrix for a rotation around an arbitrary axis.
+ * @param a Rotation angle, in radians
+ * @param axis Rotation axis, should be a normalized vector.
+ * @param out Receives the output matrix
+ * @return Reference to the output matrix
+ */
+ static aiMatrix4x4t& Rotation(TReal a, const aiVector3t<TReal>& axis,
+ aiMatrix4x4t& out);
+
+ // -------------------------------------------------------------------
+ /** @brief Returns a translation matrix
+ * @param v Translation vector
+ * @param out Receives the output matrix
+ * @return Reference to the output matrix
+ */
+ static aiMatrix4x4t& Translation( const aiVector3t<TReal>& v,
+ aiMatrix4x4t& out);
+
+ // -------------------------------------------------------------------
+ /** @brief Returns a scaling matrix
+ * @param v Scaling vector
+ * @param out Receives the output matrix
+ * @return Reference to the output matrix
+ */
+ static aiMatrix4x4t& Scaling( const aiVector3t<TReal>& v, aiMatrix4x4t& out);
+
+ // -------------------------------------------------------------------
+ /** @brief A function for creating a rotation matrix that rotates a
+ * vector called "from" into another vector called "to".
+ * Input : from[3], to[3] which both must be *normalized* non-zero vectors
+ * Output: mtx[3][3] -- a 3x3 matrix in column-major form
+ * Authors: Tomas Mueller, John Hughes
+ * "Efficiently Building a Matrix to Rotate One Vector to Another"
+ * Journal of Graphics Tools, 4(4):1-4, 1999
+ */
+ static aiMatrix4x4t& FromToMatrix(const aiVector3t<TReal>& from,
+ const aiVector3t<TReal>& to, aiMatrix4x4t& out);
+
+ TReal a1, a2, a3, a4;
+ TReal b1, b2, b3, b4;
+ TReal c1, c2, c3, c4;
+ TReal d1, d2, d3, d4;
+};
+
+typedef aiMatrix4x4t<ai_real> aiMatrix4x4;
+
+#else
+
+struct aiMatrix4x4 {
+ ai_real a1, a2, a3, a4;
+ ai_real b1, b2, b3, b4;
+ ai_real c1, c2, c3, c4;
+ ai_real d1, d2, d3, d4;
+};
+
+
+#endif // __cplusplus
+
+#endif // AI_MATRIX4X4_H_INC