src/Matrix.h

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#pragma once

#include "Vector.h"
#include "Quaternion.h"

// 4x4 Matrix class
class Matrix
{
public:


        Matrix()
        {
                m_vfElements.m_vfElements16[0]=m_vfElements.m_vfElements16[5]=m_vfElements.m_vfElements16[10]=m_vfElements.m_vfElements16[15]=1.0f;
                m_vfElements.m_vfElements16[1]=m_vfElements.m_vfElements16[2]=m_vfElements.m_vfElements16[3]=m_vfElements.m_vfElements16[4]=m_vfElements.m_vfElements16[6]=m_vfElements.m_vfElements16[7]=m_vfElements.m_vfElements16[8]=m_vfElements.m_vfElements16[9]=m_vfElements.m_vfElements16[11]=m_vfElements.m_vfElements16[12]=m_vfElements.m_vfElements16[13]=m_vfElements.m_vfElements16[14]=0.0f;
        };


        Matrix( const float & fElement0, const float & fElement4, const float & fElement8,  const float & fElement12,
                                        const float & fElement1, const float & fElement5, const float & fElement9,  const float & fElement13,
                                        const float & fElement2, const float & fElement6, const float & fElement10, const float & fElement14,
                                        const float & fElement3, const float & fElement7, const float & fElement11, const float & fElement15 )
        {
                m_vfElements.m_vfElements16[0]=fElement0; m_vfElements.m_vfElements16[4]=fElement4; m_vfElements.m_vfElements16[8]=fElement8;   m_vfElements.m_vfElements16[12]=fElement12;
                m_vfElements.m_vfElements16[1]=fElement1; m_vfElements.m_vfElements16[5]=fElement5; m_vfElements.m_vfElements16[9]=fElement9;   m_vfElements.m_vfElements16[13]=fElement13;
                m_vfElements.m_vfElements16[2]=fElement2; m_vfElements.m_vfElements16[6]=fElement6; m_vfElements.m_vfElements16[10]=fElement10; m_vfElements.m_vfElements16[14]=fElement14;
                m_vfElements.m_vfElements16[3]=fElement3; m_vfElements.m_vfElements16[7]=fElement7; m_vfElements.m_vfElements16[11]=fElement11; m_vfElements.m_vfElements16[15]=fElement15;
        };


        Matrix(const Vector & vecOne, const Vector & vecTwo, const Vector & vecThree, const Vector & vecFour = Vector(0.0f,0.0f,0.0f))
        {
                
                m_vfElements.m_vfElements16[0]=vecOne.GetX(); m_vfElements.m_vfElements16[4]=vecOne.GetY();  m_vfElements.m_vfElements16[8]=vecOne.GetZ();  m_vfElements.m_vfElements16[12]=0.0f;
                m_vfElements.m_vfElements16[1]=vecTwo.GetX(); m_vfElements.m_vfElements16[5]=vecTwo.GetY();  m_vfElements.m_vfElements16[9]=vecTwo.GetZ();  m_vfElements.m_vfElements16[13]=0.0f;
                m_vfElements.m_vfElements16[2]=vecThree.GetX(); m_vfElements.m_vfElements16[6]=vecThree.GetY(); m_vfElements.m_vfElements16[10]=vecThree.GetZ(); m_vfElements.m_vfElements16[14]=0.0f;
                m_vfElements.m_vfElements16[3]=0.0f; m_vfElements.m_vfElements16[7]=0.0f; m_vfElements.m_vfElements16[11]=0.0f; m_vfElements.m_vfElements16[15]=1.0f;   
        };

        Matrix(const float *pElements)
        {
                memcpy((void*)m_vfElements.m_vfElements16, (void *)pElements, 16*sizeof(float));
        };

        Matrix(const float vfElements[4][4])
        {
                memcpy((void*)m_vfElements.m_vfElements16, (void *)vfElements, 16*sizeof(float));
        };

        Matrix(const Quaternion & quaRotation)
        {
                m_vfElements.m_vfElements16[0]=m_vfElements.m_vfElements16[5]=m_vfElements.m_vfElements16[10]=m_vfElements.m_vfElements16[15]=1.0f;
                m_vfElements.m_vfElements16[1]=m_vfElements.m_vfElements16[2]=m_vfElements.m_vfElements16[3]=m_vfElements.m_vfElements16[4]=m_vfElements.m_vfElements16[6]=m_vfElements.m_vfElements16[7]=m_vfElements.m_vfElements16[8]=m_vfElements.m_vfElements16[9]=m_vfElements.m_vfElements16[11]=m_vfElements.m_vfElements16[12]=m_vfElements.m_vfElements16[13]=m_vfElements.m_vfElements16[14]=0.0f;
                rotate(quaRotation);
        };

        ~Matrix()
        {
        };

        void Set(const float *pElements)
        {
                memcpy((void*)m_vfElements.m_vfElements16, (void *)pElements, 16*sizeof(float));
        };

    void clearMatrix()
        {
                m_vfElements.m_vfElements16[0]=m_vfElements.m_vfElements16[5]=m_vfElements.m_vfElements16[10]=m_vfElements.m_vfElements16[15]=1.0f;
                m_vfElements.m_vfElements16[1]=m_vfElements.m_vfElements16[2]=m_vfElements.m_vfElements16[3]=m_vfElements.m_vfElements16[4]=m_vfElements.m_vfElements16[6]=m_vfElements.m_vfElements16[7]=m_vfElements.m_vfElements16[8]=m_vfElements.m_vfElements16[9]=m_vfElements.m_vfElements16[11]=m_vfElements.m_vfElements16[12]=m_vfElements.m_vfElements16[13]=m_vfElements.m_vfElements16[14]=0.0f;
        };

        const float * Get() const
        {
                return (float *) m_vfElements.m_vfElements16;
        };

        void Set(const unsigned int i, const unsigned int j, const float & fValue)
        {
                m_vfElements.m_vfElements44[i][j] = fValue;
        };

        const float & Get(const unsigned int i, const unsigned int j) const
        {
                return m_vfElements.m_vfElements44[i][j];
        };

        const float & Get(const unsigned int i) const
        {
                return m_vfElements.m_vfElements16[i];
        };

        void SetRow(const unsigned int i, const float vfValues[4])
        {
                m_vfElements.m_vfElements16[ i+0] = vfValues[0];
                m_vfElements.m_vfElements16[ i+4] = vfValues[1];
                m_vfElements.m_vfElements16[ i+8] = vfValues[2];
                m_vfElements.m_vfElements16[i+12] = vfValues[3];        
        };

        void SetColumn(const unsigned int i, const float vfValues[4])
        {
                m_vfElements.m_vfElements16[i*4+0] = vfValues[0];
                m_vfElements.m_vfElements16[i*4+1] = vfValues[1];
                m_vfElements.m_vfElements16[i*4+2] = vfValues[2];
                m_vfElements.m_vfElements16[i*4+3] = vfValues[3];
        };

        void SetRow(const unsigned int i, const Vector & vecVector)
        {
                m_vfElements.m_vfElements16[ i+0] = vecVector.GetX();
                m_vfElements.m_vfElements16[ i+4] = vecVector.GetY();
                m_vfElements.m_vfElements16[ i+8] = vecVector.GetZ();
        };

        void SetColumn(const unsigned int i, const Vector & vecVector)
        {
                m_vfElements.m_vfElements16[i*4+0] = vecVector.GetX();
                m_vfElements.m_vfElements16[i*4+1] = vecVector.GetY();
                m_vfElements.m_vfElements16[i*4+2] = vecVector.GetZ();
        };

        float & operator()(const unsigned int i, const unsigned int j)
        {
                return m_vfElements.m_vfElements44[i][j];
        };

        const float & operator()(const unsigned int i, const unsigned int j) const
        {
                return m_vfElements.m_vfElements44[i][j];
        };

        void SetTranslation(const Vector & vecTranslation)
        {
                m_vfElements.m_vfElements16[12] = vecTranslation.GetX();
                m_vfElements.m_vfElements16[13] = vecTranslation.GetY();
                m_vfElements.m_vfElements16[14] = vecTranslation.GetZ();
                m_vfElements.m_vfElements16[15] = 1.0f;
        };

        const Vector GetTranslation() const
        {
                return Vector(m_vfElements.m_vfElements16[12],m_vfElements.m_vfElements16[13],m_vfElements.m_vfElements16[14]);
        };

        const Quaternion GetRotation() const
        {
                const float fTrace = m_vfElements.m_vfElements16[0] + m_vfElements.m_vfElements16[5] + m_vfElements.m_vfElements16[10] + 1.0f;

                if (fTrace > 0.0f)
                {
                        const float fS = 0.5f / sqrt(fTrace);
                        const float fW = 0.25f / fS;
                        const float fX = ( m_vfElements.m_vfElements16[6] - m_vfElements.m_vfElements16[9] ) * fS;
                        const float fY = ( m_vfElements.m_vfElements16[8] - m_vfElements.m_vfElements16[2] ) * fS;
                        const float fZ = ( m_vfElements.m_vfElements16[1] - m_vfElements.m_vfElements16[4] ) * fS;
                        return Quaternion(Vector(fX,fY,fZ).GetNormalized(),fW);
                }
                else
                {
                        const float fMaximum = std::max(m_vfElements.m_vfElements44[0][0],std::max(m_vfElements.m_vfElements44[1][1],m_vfElements.m_vfElements44[2][2]));

                        if (fMaximum == m_vfElements.m_vfElements44[0][0])
                        {
                                const float fS  = sqrtf( 1.0f + m_vfElements.m_vfElements16[0] - m_vfElements.m_vfElements16[5] - m_vfElements.m_vfElements16[10] ) * 2.0f;
                                const float fX = 0.5f / fS;
                                const float fY = (m_vfElements.m_vfElements16[4] + m_vfElements.m_vfElements16[1] ) / fS;
                                const float fZ = (m_vfElements.m_vfElements16[8] + m_vfElements.m_vfElements16[2] ) / fS;
                                const float fW = (m_vfElements.m_vfElements16[9] + m_vfElements.m_vfElements16[6] ) / fS;
                                return Quaternion(Vector(fX,fY,fZ).GetNormalized(),fW);
                        }
                        else if (fMaximum == m_vfElements.m_vfElements44[1][1])
                        {
                                const float fS  = sqrtf( 1.0f + m_vfElements.m_vfElements16[5] - m_vfElements.m_vfElements16[0] - m_vfElements.m_vfElements16[10] ) * 2.0f;
                                const float fX = (m_vfElements.m_vfElements16[4] + m_vfElements.m_vfElements16[1] ) / fS;
                                const float fY = 0.5f / fS;
                                const float fZ = (m_vfElements.m_vfElements16[9] + m_vfElements.m_vfElements16[6] ) / fS;
                                const float fW = (m_vfElements.m_vfElements16[8] + m_vfElements.m_vfElements16[2] ) / fS;
                                return Quaternion(Vector(fX,fY,fZ).GetNormalized(),fW);
                        }
                        else
                        {
                                const float fS  = sqrtf( 1.0f + m_vfElements.m_vfElements16[10] - m_vfElements.m_vfElements16[0] - m_vfElements.m_vfElements16[5] ) * 2.0f;
                                const float fX = (m_vfElements.m_vfElements16[8] + m_vfElements.m_vfElements16[2] ) / fS;
                                const float fY = (m_vfElements.m_vfElements16[9] + m_vfElements.m_vfElements16[6] ) / fS;
                                const float fZ = 0.5f / fS;
                                const float fW = (m_vfElements.m_vfElements16[4] + m_vfElements.m_vfElements16[1] ) / fS;
                                return Quaternion(Vector(fX,fY,fZ).GetNormalized(),fW);
                        }
                }
        };

        const Matrix GetTranslated(const Vector & vecTranslation) const
        {
                return (*this) * Matrix(1.0f,0.0f,0.0f,vecTranslation.GetX(), 0.0f,1.0f,0.0f,vecTranslation.GetY(), 0.0f,0.0f,1.0f,vecTranslation.GetZ(), 0.0f, 0.0f,0.0f,1.0f);
        };

        void translate(const Vector &vecTranslation)
        {
                *this = GetTranslated(vecTranslation);
        };

        const Matrix GetScaled(const Vector &vecScale) const
        {
                return (*this) *        Matrix( vecScale.GetX(),0.0f,0.0f,0.0f, 0.0f,vecScale.GetY(),0.0f,0.0f, 0.0f,0.0f,vecScale.GetZ(),0.0f, 0.0f,0.0f,0.0f,1.0f);
        };

        void scale(const Vector &vecScale)
        {
                *this = GetScaled(vecScale);
        };

        const Matrix GetRotated(const Quaternion & quaRotation) const
        {
                const float fXX = quaRotation.GetVector().GetX() * quaRotation.GetVector().GetX();
                const float fXY = quaRotation.GetVector().GetX() * quaRotation.GetVector().GetY();
                const float fXZ = quaRotation.GetVector().GetX() * quaRotation.GetVector().GetZ();
                const float fXW = quaRotation.GetVector().GetX() * quaRotation.GetScalar();
                const float fYY = quaRotation.GetVector().GetY() * quaRotation.GetVector().GetY();
                const float fYZ = quaRotation.GetVector().GetY() * quaRotation.GetVector().GetZ();
                const float fYW = quaRotation.GetVector().GetY() * quaRotation.GetScalar();
                const float fZZ = quaRotation.GetVector().GetZ() * quaRotation.GetVector().GetZ();
                const float fZW = quaRotation.GetVector().GetZ() * quaRotation.GetScalar();

                return (*this) * Matrix(1.0f - 2.0f * (fYY + fZZ), 2.0f * (fXY - fZW), 2.0f * (fXZ + fYW), 0.0f,  2.0f * (fXY + fZW), 1.0f - 2.0f * (fXX + fZZ), 2.0f * (fYZ - fXW), 0.0f, 2.0f * (fXZ - fYW), 2.0f * (fYZ + fXW), 1.0f - 2.0f * (fXX + fYY), 0.0f,     0.0f, 0.0f, 0.0f, 1.0f);
        };

        void rotate(const Quaternion & quaRotation)
        {
                *this = GetRotated(quaRotation);
        };

        const Matrix GetInverse() const
        {
                const float fTmp1 = m_vfElements.m_vfElements44[2][2]*m_vfElements.m_vfElements44[3][3];
                const float fTmp2 = m_vfElements.m_vfElements44[0][1]*fTmp1;
                const float fTmp4 = m_vfElements.m_vfElements44[2][3]*m_vfElements.m_vfElements44[3][2];
                const float fTmp5 = m_vfElements.m_vfElements44[0][1]*fTmp4;
                const float fTmp6 = m_vfElements.m_vfElements44[0][2]*m_vfElements.m_vfElements44[3][3];
                const float fTmp7 = m_vfElements.m_vfElements44[2][1]*fTmp6;
                const float fTmp8 = m_vfElements.m_vfElements44[0][3]*m_vfElements.m_vfElements44[3][2];
                const float fTmp9 = m_vfElements.m_vfElements44[2][1]*fTmp8;
                const float fTmp11 = m_vfElements.m_vfElements44[0][2]*m_vfElements.m_vfElements44[2][3];
                const float fTmp12 = m_vfElements.m_vfElements44[3][1]*fTmp11;
                const float fTmp14 = m_vfElements.m_vfElements44[0][3]*m_vfElements.m_vfElements44[2][2];
                const float fTmp15 = m_vfElements.m_vfElements44[3][1]*fTmp14;
                const float fTmp17 = m_vfElements.m_vfElements44[1][1]*fTmp1;
                const float fTmp19 = m_vfElements.m_vfElements44[1][1]*fTmp4;
                const float fTmp22 = m_vfElements.m_vfElements44[1][2]*m_vfElements.m_vfElements44[3][3];
                const float fTmp23 = m_vfElements.m_vfElements44[2][1]*fTmp22;
                const float fTmp26 = m_vfElements.m_vfElements44[1][3]*m_vfElements.m_vfElements44[3][2];
                const float fTmp27 = m_vfElements.m_vfElements44[2][1]*fTmp26;
                const float fTmp29 = m_vfElements.m_vfElements44[1][2]*m_vfElements.m_vfElements44[2][3];
                const float fTmp30 = m_vfElements.m_vfElements44[3][1]*fTmp29;
                const float fTmp32 = m_vfElements.m_vfElements44[1][3]*m_vfElements.m_vfElements44[2][2];
                const float fTmp33 = m_vfElements.m_vfElements44[3][1]*fTmp32;
                const float fTmp48 = m_vfElements.m_vfElements44[0][1]*fTmp22;
                const float fTmp50 = m_vfElements.m_vfElements44[0][1]*fTmp26;
                const float fTmp53 = m_vfElements.m_vfElements44[1][1]*fTmp6;
                const float fTmp56 = m_vfElements.m_vfElements44[1][1]*fTmp8;
                const float fTmp58 = m_vfElements.m_vfElements44[0][2]*m_vfElements.m_vfElements44[1][3];
                const float fTmp59 = m_vfElements.m_vfElements44[3][1]*fTmp58;
                const float fTmp61 = m_vfElements.m_vfElements44[0][3]*m_vfElements.m_vfElements44[1][2];
                const float fTmp62 = m_vfElements.m_vfElements44[3][1]*fTmp61;
                const float fTmp66 = m_vfElements.m_vfElements44[0][1]*fTmp29;
                const float fTmp69 = m_vfElements.m_vfElements44[0][1]*fTmp32;
                const float fTmp71 = m_vfElements.m_vfElements44[1][1]*fTmp11;
                const float fTmp73 = m_vfElements.m_vfElements44[1][1]*fTmp14;
                const float fTmp76 = m_vfElements.m_vfElements44[2][1]*fTmp58;
                const float fTmp79 = m_vfElements.m_vfElements44[2][1]*fTmp61;
                const float fTmp84 = 1.0f/(m_vfElements.m_vfElements44[0][0]*fTmp17-m_vfElements.m_vfElements44[0][0]*fTmp19-m_vfElements.m_vfElements44[0][0]*fTmp23+m_vfElements.m_vfElements44[0][0]*fTmp27+m_vfElements.m_vfElements44[0][0]*fTmp30-m_vfElements.m_vfElements44[0][0]*fTmp33-m_vfElements.m_vfElements44[1][0]*fTmp2+m_vfElements.m_vfElements44[1][0]*fTmp5+m_vfElements.m_vfElements44[1][0]*fTmp7-m_vfElements.m_vfElements44[1][0]*fTmp9-m_vfElements.m_vfElements44[1][0]*fTmp12+m_vfElements.m_vfElements44[1][0]*fTmp15+m_vfElements.m_vfElements44[2][0]*fTmp48-m_vfElements.m_vfElements44[2][0]*fTmp50-m_vfElements.m_vfElements44[2][0]*fTmp53+m_vfElements.m_vfElements44[2][0]*fTmp56+m_vfElements.m_vfElements44[2][0]*fTmp59-m_vfElements.m_vfElements44[2][0]*fTmp62-m_vfElements.m_vfElements44[3][0]*fTmp66+m_vfElements.m_vfElements44[3][0]*fTmp69+m_vfElements.m_vfElements44[3][0]*fTmp71-m_vfElements.m_vfElements44[3][0]*fTmp73-m_vfElements.m_vfElements44[3][0]*fTmp76+m_vfElements.m_vfElements44[3][0]*fTmp79);
                const float fTmp116 = m_vfElements.m_vfElements44[2][1]*m_vfElements.m_vfElements44[3][2];
                const float fTmp118 = m_vfElements.m_vfElements44[2][2]*m_vfElements.m_vfElements44[3][1];
                const float fTmp121 = m_vfElements.m_vfElements44[0][1]*m_vfElements.m_vfElements44[3][2];
                const float fTmp124 = m_vfElements.m_vfElements44[0][2]*m_vfElements.m_vfElements44[3][1];
                const float fTmp126 = m_vfElements.m_vfElements44[0][1]*m_vfElements.m_vfElements44[2][2];
                const float fTmp128 = m_vfElements.m_vfElements44[0][2]*m_vfElements.m_vfElements44[2][1];
                const float fTmp133 = m_vfElements.m_vfElements44[2][1]*m_vfElements.m_vfElements44[3][3];
                const float fTmp135 = m_vfElements.m_vfElements44[2][3]*m_vfElements.m_vfElements44[3][1];
                const float fTmp138 = m_vfElements.m_vfElements44[0][1]*m_vfElements.m_vfElements44[3][3];
                const float fTmp141 = m_vfElements.m_vfElements44[0][3]*m_vfElements.m_vfElements44[3][1];
                const float fTmp143 = m_vfElements.m_vfElements44[0][1]*m_vfElements.m_vfElements44[2][3];
                const float fTmp145 = m_vfElements.m_vfElements44[0][3]*m_vfElements.m_vfElements44[2][1];
                const float fTmp151 = m_vfElements.m_vfElements44[1][1]*m_vfElements.m_vfElements44[2][2];
                const float fTmp153 = m_vfElements.m_vfElements44[1][2]*m_vfElements.m_vfElements44[2][1];
                const float fTmp159 = m_vfElements.m_vfElements44[0][1]*m_vfElements.m_vfElements44[1][2];
                const float fTmp161 = m_vfElements.m_vfElements44[0][2]*m_vfElements.m_vfElements44[1][1];
                const float fTmp166 = m_vfElements.m_vfElements44[1][1]*m_vfElements.m_vfElements44[3][3];
                const float fTmp168 = m_vfElements.m_vfElements44[1][3]*m_vfElements.m_vfElements44[3][1];
                const float fTmp174 = m_vfElements.m_vfElements44[0][1]*m_vfElements.m_vfElements44[1][3];
                const float fTmp176 = m_vfElements.m_vfElements44[0][3]*m_vfElements.m_vfElements44[1][1];
                const float fTmp187 = m_vfElements.m_vfElements44[1][1]*m_vfElements.m_vfElements44[2][3];
                const float fTmp189 = m_vfElements.m_vfElements44[1][3]*m_vfElements.m_vfElements44[2][1];
                const float fTmp212 = m_vfElements.m_vfElements44[1][1]*m_vfElements.m_vfElements44[3][2];
                const float fTmp214 = m_vfElements.m_vfElements44[1][2]*m_vfElements.m_vfElements44[3][1];
                
                Matrix matNew;
                matNew.m_vfElements.m_vfElements44[0][1] = (-fTmp2+fTmp5+fTmp7-fTmp9-fTmp12+fTmp15)*fTmp84;
                matNew.m_vfElements.m_vfElements44[0][2] = -(-fTmp48+fTmp50+fTmp53-fTmp56-fTmp59+fTmp62)*fTmp84;
                matNew.m_vfElements.m_vfElements44[1][2] = -(m_vfElements.m_vfElements44[0][0]*fTmp22-m_vfElements.m_vfElements44[0][0]*fTmp26-m_vfElements.m_vfElements44[1][0]*fTmp6+m_vfElements.m_vfElements44[1][0]*fTmp8+m_vfElements.m_vfElements44[3][0]*fTmp58-m_vfElements.m_vfElements44[3][0]*fTmp61)*fTmp84;
                matNew.m_vfElements.m_vfElements44[1][3] = -(-m_vfElements.m_vfElements44[0][0]*fTmp29+m_vfElements.m_vfElements44[0][0]*fTmp32+m_vfElements.m_vfElements44[1][0]*fTmp11-m_vfElements.m_vfElements44[1][0]*fTmp14-m_vfElements.m_vfElements44[2][0]*fTmp58+m_vfElements.m_vfElements44[2][0]*fTmp61)*fTmp84;
                matNew.m_vfElements.m_vfElements44[3][1] = (m_vfElements.m_vfElements44[0][0]*fTmp116-m_vfElements.m_vfElements44[0][0]*fTmp118-m_vfElements.m_vfElements44[2][0]*fTmp121+m_vfElements.m_vfElements44[2][0]*fTmp124+m_vfElements.m_vfElements44[3][0]*fTmp126-m_vfElements.m_vfElements44[3][0]*fTmp128)*fTmp84;
                matNew.m_vfElements.m_vfElements44[2][1] = -(m_vfElements.m_vfElements44[0][0]*fTmp133-m_vfElements.m_vfElements44[0][0]*fTmp135-m_vfElements.m_vfElements44[2][0]*fTmp138+m_vfElements.m_vfElements44[2][0]*fTmp141+m_vfElements.m_vfElements44[3][0]*fTmp143-m_vfElements.m_vfElements44[3][0]*fTmp145)*fTmp84;
                matNew.m_vfElements.m_vfElements44[3][3] = (m_vfElements.m_vfElements44[0][0]*fTmp151-m_vfElements.m_vfElements44[0][0]*fTmp153-m_vfElements.m_vfElements44[1][0]*fTmp126+m_vfElements.m_vfElements44[1][0]*fTmp128+m_vfElements.m_vfElements44[2][0]*fTmp159-m_vfElements.m_vfElements44[2][0]*fTmp161)*fTmp84;
                matNew.m_vfElements.m_vfElements44[2][2] = (m_vfElements.m_vfElements44[0][0]*fTmp166-m_vfElements.m_vfElements44[0][0]*fTmp168-m_vfElements.m_vfElements44[1][0]*fTmp138+m_vfElements.m_vfElements44[1][0]*fTmp141+m_vfElements.m_vfElements44[3][0]*fTmp174-m_vfElements.m_vfElements44[3][0]*fTmp176)*fTmp84;
                matNew.m_vfElements.m_vfElements44[2][0] = (m_vfElements.m_vfElements44[1][0]*fTmp133-m_vfElements.m_vfElements44[1][0]*fTmp135-m_vfElements.m_vfElements44[2][0]*fTmp166+m_vfElements.m_vfElements44[2][0]*fTmp168+m_vfElements.m_vfElements44[3][0]*fTmp187-m_vfElements.m_vfElements44[3][0]*fTmp189)*fTmp84;
                matNew.m_vfElements.m_vfElements44[1][0] = -(m_vfElements.m_vfElements44[1][0]*fTmp1-m_vfElements.m_vfElements44[1][0]*fTmp4-m_vfElements.m_vfElements44[2][0]*fTmp22+m_vfElements.m_vfElements44[2][0]*fTmp26+m_vfElements.m_vfElements44[3][0]*fTmp29-m_vfElements.m_vfElements44[3][0]*fTmp32)*fTmp84;
                matNew.m_vfElements.m_vfElements44[0][3] = -(fTmp66-fTmp69-fTmp71+fTmp73+fTmp76-fTmp79)*fTmp84;
                matNew.m_vfElements.m_vfElements44[3][2] = -(m_vfElements.m_vfElements44[0][0]*fTmp212-m_vfElements.m_vfElements44[0][0]*fTmp214-m_vfElements.m_vfElements44[1][0]*fTmp121+m_vfElements.m_vfElements44[1][0]*fTmp124+m_vfElements.m_vfElements44[3][0]*fTmp159-m_vfElements.m_vfElements44[3][0]*fTmp161)*fTmp84;
                matNew.m_vfElements.m_vfElements44[0][0] = (fTmp17-fTmp19-fTmp23+fTmp27+fTmp30-fTmp33)*fTmp84;
                matNew.m_vfElements.m_vfElements44[2][3] = -(m_vfElements.m_vfElements44[0][0]*fTmp187-m_vfElements.m_vfElements44[0][0]*fTmp189-m_vfElements.m_vfElements44[1][0]*fTmp143+m_vfElements.m_vfElements44[1][0]*fTmp145+m_vfElements.m_vfElements44[2][0]*fTmp174-m_vfElements.m_vfElements44[2][0]*fTmp176)*fTmp84;
                matNew.m_vfElements.m_vfElements44[3][0] = -(m_vfElements.m_vfElements44[1][0]*fTmp116-m_vfElements.m_vfElements44[1][0]*fTmp118-m_vfElements.m_vfElements44[2][0]*fTmp212+m_vfElements.m_vfElements44[2][0]*fTmp214+m_vfElements.m_vfElements44[3][0]*fTmp151-m_vfElements.m_vfElements44[3][0]*fTmp153)*fTmp84;
                matNew.m_vfElements.m_vfElements44[1][1] = (m_vfElements.m_vfElements44[0][0]*fTmp1-m_vfElements.m_vfElements44[0][0]*fTmp4-m_vfElements.m_vfElements44[2][0]*fTmp6+m_vfElements.m_vfElements44[2][0]*fTmp8+m_vfElements.m_vfElements44[3][0]*fTmp11-m_vfElements.m_vfElements44[3][0]*fTmp14)*fTmp84;

                return matNew;
        };

        void invert()
        {
                (*this) = GetInverse();
        }

        const Matrix GetTransposed() const
        {
                return Matrix(
                        m_vfElements.m_vfElements16[0],m_vfElements.m_vfElements16[1],m_vfElements.m_vfElements16[2],m_vfElements.m_vfElements16[3],
                        m_vfElements.m_vfElements16[4],m_vfElements.m_vfElements16[5],m_vfElements.m_vfElements16[6],m_vfElements.m_vfElements16[7],
                        m_vfElements.m_vfElements16[8],m_vfElements.m_vfElements16[9],m_vfElements.m_vfElements16[10],m_vfElements.m_vfElements16[11],
                        m_vfElements.m_vfElements16[12],m_vfElements.m_vfElements16[13],m_vfElements.m_vfElements16[14],m_vfElements.m_vfElements16[15]);
        };

        void transpose()
        {
                (*this) = GetTransposed();
        };

        const Vector GetRotated(const Vector & vecOther) const
        {
                return Vector(
                        (m_vfElements.m_vfElements16[0]*vecOther.GetX() + m_vfElements.m_vfElements16[4]*vecOther.GetY() + m_vfElements.m_vfElements16[8]*vecOther.GetZ()), 
                        (m_vfElements.m_vfElements16[1]*vecOther.GetX() + m_vfElements.m_vfElements16[5]*vecOther.GetY() + m_vfElements.m_vfElements16[9]*vecOther.GetZ()),
                        (m_vfElements.m_vfElements16[2]*vecOther.GetX() + m_vfElements.m_vfElements16[6]*vecOther.GetY() + m_vfElements.m_vfElements16[10]*vecOther.GetZ()));
        };

        const bool operator==(const Matrix & matOther) const
        {
                for (unsigned int i=0;i < 16; i++)
                {
                        if (m_vfElements.m_vfElements16[i] != matOther.m_vfElements.m_vfElements16[i])
                                return false;
                }

                return true;
        };

        const bool operator!=(const Matrix & matOther) const
        {
                return !(*this == matOther);
        };

        const Matrix operator*(const Matrix & matOther) const
        {
                return Matrix(
                        m_vfElements.m_vfElements16[0]*matOther.m_vfElements.m_vfElements16[0] + m_vfElements.m_vfElements16[4]*matOther.m_vfElements.m_vfElements16[1] + m_vfElements.m_vfElements16[8]*matOther.m_vfElements.m_vfElements16[2] + m_vfElements.m_vfElements16[12]*matOther.m_vfElements.m_vfElements16[3],
                        m_vfElements.m_vfElements16[0]*matOther.m_vfElements.m_vfElements16[4] + m_vfElements.m_vfElements16[4]*matOther.m_vfElements.m_vfElements16[5] + m_vfElements.m_vfElements16[8]*matOther.m_vfElements.m_vfElements16[6] + m_vfElements.m_vfElements16[12]*matOther.m_vfElements.m_vfElements16[7],
                        m_vfElements.m_vfElements16[0]*matOther.m_vfElements.m_vfElements16[8] + m_vfElements.m_vfElements16[4]*matOther.m_vfElements.m_vfElements16[9] + m_vfElements.m_vfElements16[8]*matOther.m_vfElements.m_vfElements16[10] + m_vfElements.m_vfElements16[12]*matOther.m_vfElements.m_vfElements16[11],
                        m_vfElements.m_vfElements16[0]*matOther.m_vfElements.m_vfElements16[12] + m_vfElements.m_vfElements16[4]*matOther.m_vfElements.m_vfElements16[13] + m_vfElements.m_vfElements16[8]*matOther.m_vfElements.m_vfElements16[14] + m_vfElements.m_vfElements16[12]*matOther.m_vfElements.m_vfElements16[15],

                        m_vfElements.m_vfElements16[1]*matOther.m_vfElements.m_vfElements16[0] + m_vfElements.m_vfElements16[5]*matOther.m_vfElements.m_vfElements16[1] + m_vfElements.m_vfElements16[9]*matOther.m_vfElements.m_vfElements16[2] + m_vfElements.m_vfElements16[13]*matOther.m_vfElements.m_vfElements16[3],
                        m_vfElements.m_vfElements16[1]*matOther.m_vfElements.m_vfElements16[4] + m_vfElements.m_vfElements16[5]*matOther.m_vfElements.m_vfElements16[5] + m_vfElements.m_vfElements16[9]*matOther.m_vfElements.m_vfElements16[6] + m_vfElements.m_vfElements16[13]*matOther.m_vfElements.m_vfElements16[7],
                        m_vfElements.m_vfElements16[1]*matOther.m_vfElements.m_vfElements16[8] + m_vfElements.m_vfElements16[5]*matOther.m_vfElements.m_vfElements16[9] + m_vfElements.m_vfElements16[9]*matOther.m_vfElements.m_vfElements16[10] + m_vfElements.m_vfElements16[13]*matOther.m_vfElements.m_vfElements16[11],
                        m_vfElements.m_vfElements16[1]*matOther.m_vfElements.m_vfElements16[12] + m_vfElements.m_vfElements16[5]*matOther.m_vfElements.m_vfElements16[13] + m_vfElements.m_vfElements16[9]*matOther.m_vfElements.m_vfElements16[14] + m_vfElements.m_vfElements16[13]*matOther.m_vfElements.m_vfElements16[15],

                        m_vfElements.m_vfElements16[2]*matOther.m_vfElements.m_vfElements16[0] + m_vfElements.m_vfElements16[6]*matOther.m_vfElements.m_vfElements16[1] + m_vfElements.m_vfElements16[10]*matOther.m_vfElements.m_vfElements16[2] + m_vfElements.m_vfElements16[14]*matOther.m_vfElements.m_vfElements16[3],
                        m_vfElements.m_vfElements16[2]*matOther.m_vfElements.m_vfElements16[4] + m_vfElements.m_vfElements16[6]*matOther.m_vfElements.m_vfElements16[5] + m_vfElements.m_vfElements16[10]*matOther.m_vfElements.m_vfElements16[6] + m_vfElements.m_vfElements16[14]*matOther.m_vfElements.m_vfElements16[7],
                        m_vfElements.m_vfElements16[2]*matOther.m_vfElements.m_vfElements16[8] + m_vfElements.m_vfElements16[6]*matOther.m_vfElements.m_vfElements16[9] + m_vfElements.m_vfElements16[10]*matOther.m_vfElements.m_vfElements16[10] + m_vfElements.m_vfElements16[14]*matOther.m_vfElements.m_vfElements16[11],
                        m_vfElements.m_vfElements16[2]*matOther.m_vfElements.m_vfElements16[12] + m_vfElements.m_vfElements16[6]*matOther.m_vfElements.m_vfElements16[13] + m_vfElements.m_vfElements16[10]*matOther.m_vfElements.m_vfElements16[14] + m_vfElements.m_vfElements16[14]*matOther.m_vfElements.m_vfElements16[15],

                        m_vfElements.m_vfElements16[3]*matOther.m_vfElements.m_vfElements16[0] + m_vfElements.m_vfElements16[7]*matOther.m_vfElements.m_vfElements16[1] + m_vfElements.m_vfElements16[11]*matOther.m_vfElements.m_vfElements16[2] + m_vfElements.m_vfElements16[15]*matOther.m_vfElements.m_vfElements16[3],
                        m_vfElements.m_vfElements16[3]*matOther.m_vfElements.m_vfElements16[4] + m_vfElements.m_vfElements16[7]*matOther.m_vfElements.m_vfElements16[5] + m_vfElements.m_vfElements16[11]*matOther.m_vfElements.m_vfElements16[6] + m_vfElements.m_vfElements16[15]*matOther.m_vfElements.m_vfElements16[7],
                        m_vfElements.m_vfElements16[3]*matOther.m_vfElements.m_vfElements16[8] + m_vfElements.m_vfElements16[7]*matOther.m_vfElements.m_vfElements16[9] + m_vfElements.m_vfElements16[11]*matOther.m_vfElements.m_vfElements16[10] + m_vfElements.m_vfElements16[15]*matOther.m_vfElements.m_vfElements16[11],
                        m_vfElements.m_vfElements16[3]*matOther.m_vfElements.m_vfElements16[12] + m_vfElements.m_vfElements16[7]*matOther.m_vfElements.m_vfElements16[13] + m_vfElements.m_vfElements16[11]*matOther.m_vfElements.m_vfElements16[14] + m_vfElements.m_vfElements16[15]*matOther.m_vfElements.m_vfElements16[15] );
        };

        const Matrix & operator*=(const Matrix & matOther)
        {
                *this = (*this) * matOther;
                return *this;
        };

        const Vector operator* (const Vector &vecOther) const
        {
                const float fW = m_vfElements.m_vfElements16[3]*vecOther.GetX() + m_vfElements.m_vfElements16[7]*vecOther.GetY() + m_vfElements.m_vfElements16[11]*vecOther.GetZ() + m_vfElements.m_vfElements16[15];
                return Vector(
                        (m_vfElements.m_vfElements16[0]*vecOther.GetX() + m_vfElements.m_vfElements16[4]*vecOther.GetY() + m_vfElements.m_vfElements16[8]*vecOther.GetZ() + m_vfElements.m_vfElements16[12]) / fW, 
                        (m_vfElements.m_vfElements16[1]*vecOther.GetX() + m_vfElements.m_vfElements16[5]*vecOther.GetY() + m_vfElements.m_vfElements16[9]*vecOther.GetZ() + m_vfElements.m_vfElements16[13]) / fW,
                        (m_vfElements.m_vfElements16[2]*vecOther.GetX() + m_vfElements.m_vfElements16[6]*vecOther.GetY() + m_vfElements.m_vfElements16[10]*vecOther.GetZ() + m_vfElements.m_vfElements16[14]) / fW );
        };

private:

        union
        {
                float m_vfElements16[16];
                float m_vfElements44[4][4];
        } m_vfElements;
};

inline std::ostream & operator << (std::ostream & os, const Matrix & matMatrix)
{
        os      << "((" << matMatrix.Get(0,0) << ";" << matMatrix.Get(0,1) << ";" << matMatrix.Get(0,2) << ";" << matMatrix.Get(0,3) << ")" << ";"
                << "(" << matMatrix.Get(1,0) << ";" << matMatrix.Get(1,1) << ";" << matMatrix.Get(1,2) << ";" << matMatrix.Get(1,3) << ")" << ";"
                << "(" << matMatrix.Get(2,0) << ";" << matMatrix.Get(2,1) << ";" << matMatrix.Get(2,2) << ";" << matMatrix.Get(2,3) << ")" << ";"
                << "(" << matMatrix.Get(3,0) << ";" << matMatrix.Get(3,1) << ";" << matMatrix.Get(3,2) << ";" << matMatrix.Get(3,3) << "))";
        return os;
}

inline std::istream & operator>> (std::istream & is,  Matrix & matMatrix)
{
        float f00, f01, f02, f03;
        float f10, f11, f12, f13;
        float f20, f21, f22, f23;
        float f30, f31, f32, f33;

        if (is 
                >> eat ("(")
                >> eat("(") >> f00 >> eat(";") >> f01 >> eat(";") >> f02 >> eat(";") >> f03 >> eat(")") >> eat(";")
                >> eat("(") >> f10 >> eat(";") >> f11 >> eat(";") >> f12 >> eat(";") >> f13 >> eat(")") >> eat(";")
                >> eat("(") >> f20 >> eat(";") >> f21 >> eat(";") >> f22 >> eat(";") >> f23 >> eat(")") >> eat(";")
                >> eat("(") >> f30 >> eat(";") >> f31 >> eat(";") >> f32 >> eat(";") >> f33 >> eat(")") 
                >> eat(")"))
        {
                matMatrix.Set(0,0,f00); matMatrix.Set(0,1,f01); matMatrix.Set(0,2,f02); matMatrix.Set(0,3,f03);
                matMatrix.Set(1,0,f10); matMatrix.Set(1,1,f11); matMatrix.Set(1,2,f12); matMatrix.Set(1,3,f13);
                matMatrix.Set(2,0,f20); matMatrix.Set(2,1,f21); matMatrix.Set(2,2,f22); matMatrix.Set(2,3,f23);
                matMatrix.Set(3,0,f30); matMatrix.Set(3,1,f31); matMatrix.Set(3,2,f32); matMatrix.Set(3,3,f33);

        }

        return is;
}

---