matrix4x4.h

// © Copyright 2010 - 2014 BlackTopp Studios Inc.
/* This file is part of The Mezzanine Engine.

    The Mezzanine Engine is free software: you can redistribute it and/or modify
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    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with The Mezzanine Engine.  If not, see <http://www.gnu.org/licenses/>.
*/
/* The original authors have included a copy of the license specified above in the
   'Docs' folder. See 'gpl.txt'
*/
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*/
#ifndef _matrix4x4_h
#define _matrix4x4_h

#include "matrix3x3.h"
#include "plane.h"

namespace Ogre
{
    class Matrix4;
}

namespace Mezzanine
{
    ///////////////////////////////////////////////////////////////////////////////
    /// @class Matrix4x4
    /// @headerfile matrix4x4.h
    /// @brief A 4x4 matrix math class for the representation of full transforms.
    /// @details 4x4 matricies are commonly used by graphics subsystems.
    ///////////////////////////////////////
    class MEZZ_LIB Matrix4x4
    {
    public:
        ///////////////////////////////////////////////////////////////////////////////
        // Public Data Members

        /// @brief The bigger Matrix.  Fo' Reals.
        Real Matrix[4][4];

        ///////////////////////////////////////////////////////////////////////////////
        // Construction and Destruction

        /// @brief Non-Initialization constructor.
        Matrix4x4();
        /// @brief Explict Initialization constructor.
        /// @details Provides initialization for every number in the matrix.
        Matrix4x4(const Real& XX, const Real& XY, const Real& XZ, const Real& XW, const Real& YX, const Real& YY, const Real& YZ, const Real& YW,
                  const Real& ZX, const Real& ZY, const Real& ZZ, const Real& ZW, const Real& WX, const Real& WY, const Real& WZ, const Real& WW);
        /// @brief Ogre Matrix Initialization constructor.
        /// @param Mat The Ogre Matrix to build this Matrix from.
        Matrix4x4(const Ogre::Matrix4& Mat);
        /// @brief Transform Information Initialization constructor.
        /// @param Position The position of the transform.
        /// @param Scale The scale of the transform.
        /// @param Rotation The rotation of the transform.
        Matrix4x4(const Vector3& Position, const Vector3& Scale, const Quaternion& Rotation);
        /// @brief Class destructor.
        ~Matrix4x4();

        ///////////////////////////////////////////////////////////////////////////////
        // Set From Other Data Functions

        /// @brief Sets the values for every number in the matrix.
        void SetValues(const Real& XX, const Real& XY, const Real& XZ, const Real& XW, const Real& YX, const Real& YY, const Real& YZ, const Real& YW,
                       const Real& ZX, const Real& ZY, const Real& ZZ, const Real& ZW, const Real& WX, const Real& WY, const Real& WZ, const Real& WW);
        /// @brief Sets the Matrix based on a provided position, scale, and rotation.
        /// @param Position The position of the transform.
        /// @param Scale The scale of the transform.
        /// @param Rotation The rotation of the transform.
        void SetTransform(const Vector3& Position, const Vector3& Scale, const Quaternion& Rotation);
        /// @brief Sets all values in this Matrix to Identity values.
        /// @details Identity values for a 4x4 matrix is all zeros except for the values at [0][0], [1][1], [2][2], [3][3], which are set to one.
        void SetIdentity();
        /// @brief Sets all values in this Matrix to zero.
        void SetZero();

        ///////////////////////////////////////////////////////////////////////////////
        // Utility and Conversion Functions

        /// @brief Gets the Determinant of this Matrix.
        /// @return Returns a Real representing the Determinant of this Matrix.
        Real GetDeterminant() const;

        /*/// @brief Gets the individual data in this Matrix and populates other data classes with their values.
        /// @param Position The vector to be populated with position data.
        /// @param Scale The vector to be populated with scaling data.
        /// @param Rotation The quaternion to be populated with rotation data.
        void Decompose(Vector3& Position, Vector3& Scale, Quaternion& Rotation) const;// */

        /// @brief Gets the rotation portion of this Matrix as a Quaternion.
        /// @return Returns a Quaternion that expresses the rotation of this Matrix.
        Quaternion GetRotationAsQuaternion() const;
        /// @brief Gets the rotation portion of this Matrix as a Matrix3x3.
        /// @return Returns a Matrix3x3 that expresses the rotation of this Matrix.
        Matrix3x3 GetRotationAsMatrix3x3() const;

        /// @brief Gets the data from an Ogre Matrix4x4 and applies it to this.
        /// @param temp The Matrix4x4 to copy from.
        void ExtractOgreMatrix4x4(const Ogre::Matrix4& temp);
        /// @brief Gets an Ogre copy of this Matrix4x4.
        /// @return Returns an Ogre Matrix4x4 with the same values as this Matrix4x4.
        Ogre::Matrix4 GetOgreMatrix4x4() const;

        ///////////////////////////////////////////////////////////////////////////////
        // Comparison Operators

        /// @brief Equality comparison operator.
        /// @param Other The other Matrix4x4 to compare against.
        /// @return Returns true if the two Matrix4x4's are equal, false otherwise.
        bool operator==(const Matrix4x4& Other) const;
        /// @brief Inequality comparison operator.
        /// @param Other The other Matrix4x4 to compare against.
        /// @return Returns true if the two Matrix4x4's are not equal, false otherwise.
        bool operator!=(const Matrix4x4& Other) const;

        ///////////////////////////////////////////////////////////////////////////////
        // Arithmetic Operators With Matrix4x4

        /// @brief Addition operator.
        /// @param Other The other Matrix4x4 to add to this.
        /// @return Returns a fresh Matrix4x4.
        Matrix4x4 operator+(const Matrix4x4& Other) const;
        /// @brief Subtraction operator.
        /// @param Other The other Matrix4x4 to subtract from this.
        /// @return Returns a fresh Matrix4x4.
        Matrix4x4 operator-(const Matrix4x4& Other) const;
        /// @brief Multiplication operator.
        /// @param Other The other Matrix4x4 to multiply this by.
        /// @return Returns a fresh Matrix4x4.
        Matrix4x4 operator*(const Matrix4x4& Other) const;
        /// @brief Addition Assignment operator.
        /// @param Other The other Matrix4x4 to add to this.
        /// @return Returns a reference to *this.
        Matrix4x4& operator+=(const Matrix4x4& Other);
        /// @brief Subtraction Assignment operator.
        /// @param Other The other Matrix4x4 to subtract from this.
        /// @return Returns a reference to *this.
        Matrix4x4& operator-=(const Matrix4x4& Other);
        /// @brief Multiplication Assignment operator.
        /// @param Other The other Matrix4x4 to add to this.
        /// @return Returns a reference to *this.
        Matrix4x4& operator*=(const Matrix4x4& Other);

        ///////////////////////////////////////////////////////////////////////////////
        // Arithmetic Operators With Other Datatypes

        /// @brief Multiply by Vector3 operator.
        /// @param Vec The Vector to be rotated.
        /// @return Returns a Vector3 with the rotation and translation of this Matrix applied to it.
        Vector3 operator*(const Vector3& Vec) const;
        /// @brief Multiply by Real operator.
        /// @param Scalar The Real to multiply each member of this Matrix by.
        /// @return Returns a new Matrix4x4 that is a copy of this Matrix4x4 with each of it's members multiplied by the scaler.
        Matrix4x4 operator*(const Real& Scalar) const;
        /// @brief Multiply Assignment by Real operator.
        /// @param Scalar The Real to multiply each member of this Matrix by.
        /// @return Returns a reference to *this, being the modified Matrix4x4.
        Matrix4x4& operator*=(const Real& Scalar);

        ///////////////////////////////////////////////////////////////////////////////
        // Other Operators

        /// @brief Assignment operator.
        /// @param Other The other Matrix4x4 to copy from.
        void operator=(const Matrix4x4& Other);
        /// @brief Assignment operator.
        /// @details This will copy the rotation portions of the other Matrix into this Matrix.
        /// @param Other The other Matrix3x3 to copy from.
        void operator=(const Matrix3x3& Other);

        ///////////////////////////////////////////////////////////////////////////////
        // Fancy Math

        /// @brief Gets the Transpose of this Matrix.
        /// @todo I'm not gonna lie, I have no idea what the hell the Transpose of a 4x4 Matrix is or what it is used for...this doc could use a touchup.  In fact most of the doc's on this class could use a review.
        /// @return Returns a new Matrix4x4 that is a Transposed copy of this.
        Matrix4x4 Transpose() const;
        /// @brief Gets the Adjoint of this Matrix.
        /// @return Returns a new Matrix4x4 that is the Adjoint of this.
        Matrix4x4 Adjoint() const;
        /// @brief Gets the Inverse of this Matrix.
        /// @return Returns a new Matrix4x4 that is this Matrix inversed.
        Matrix4x4 Inverse() const;
        /// @brief Combines the translation/rotation of two Matricies.
        /// @param Mat The other Matrix to combine with this.
        /// @return Returns the product of the two Matricies.
        Matrix4x4 Concatenate(const Matrix4x4& Mat) const;
        /// @brief Gets the Minor of the specified rows/columns of this Matrix.
        /// @param Row1 Row for the first Real of the calculated minor.
        /// @param Row2 Row for the second Real of the calculated minor.
        /// @param Row3 Row for the third Real of the calculated minor.
        /// @param Col1 Column for the first Real of the calculated minor.
        /// @param Col2 Column for the second Real of the calculated minor.
        /// @param Col3 Column for the third Real of the calculated minor.
        /// @return Returns a Real containing the minor of the Matrix.
        Real Minor(const Whole& Row1, const Whole& Row2, const Whole& Row3, const Whole& Col1, const Whole& Col2, const Whole& Col3) const;

        ///////////////////////////////////////////////////////////////////////////////
        // Serialization

        /// @brief Convert this class to an XML::Node ready for serialization
        /// @param CurrentRoot The point in the XML hierarchy that all this Matrix4x4 should be appended to.
        void ProtoSerialize(XML::Node& CurrentRoot) const;
        /// @brief Take the data stored in an XML and overwrite this instance of this object with it
        /// @param OneNode and XML::Node containing the data.
        void ProtoDeSerialize(const XML::Node& OneNode);

        /// @brief Get the name of the the XML tag this class will leave behind as its instances are serialized.
        /// @return A string containing "Matrix4x4".
        static String GetSerializableName();
    };//Matrix4x4
}//Mezzanine

#endif