00001 #pragma once
00002
00003 #include "common.h"
00004 #include <math.h>
00005 #include "Vector.h"
00006 #include "Vector4.h"
00007 #include "Quaternion.h"
00008
00009
00011
00016 class Matrix
00017 {
00018 public:
00019
00020 Matrix()
00021 {
00022 m_vfElements.m_vfElements16[0]=m_vfElements.m_vfElements16[5]=m_vfElements.m_vfElements16[10]=m_vfElements.m_vfElements16[15]=1.0f;
00023 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;
00024 };
00025
00026 Matrix( const float & fElement0, const float & fElement4, const float & fElement8, const float & fElement12,
00027 const float & fElement1, const float & fElement5, const float & fElement9, const float & fElement13,
00028 const float & fElement2, const float & fElement6, const float & fElement10, const float & fElement14,
00029 const float & fElement3, const float & fElement7, const float & fElement11, const float & fElement15)
00030 {
00031 m_vfElements.m_vfElements16[0]=fElement0; m_vfElements.m_vfElements16[4]=fElement4; m_vfElements.m_vfElements16[8]=fElement8; m_vfElements.m_vfElements16[12]=fElement12;
00032 m_vfElements.m_vfElements16[1]=fElement1; m_vfElements.m_vfElements16[5]=fElement5; m_vfElements.m_vfElements16[9]=fElement9; m_vfElements.m_vfElements16[13]=fElement13;
00033 m_vfElements.m_vfElements16[2]=fElement2; m_vfElements.m_vfElements16[6]=fElement6; m_vfElements.m_vfElements16[10]=fElement10; m_vfElements.m_vfElements16[14]=fElement14;
00034 m_vfElements.m_vfElements16[3]=fElement3; m_vfElements.m_vfElements16[7]=fElement7; m_vfElements.m_vfElements16[11]=fElement11; m_vfElements.m_vfElements16[15]=fElement15;
00035 };
00036
00037 Matrix(const Vector & vecOne, const Vector & vecTwo, const Vector & vecThree, const Vector & vecFour = Vector(0.0f,0.0f,0.0f))
00038 {
00039
00040 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;
00041 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;
00042 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;
00043 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;
00044 };
00045
00046 Matrix(const float *pElements)
00047 {
00048 memcpy((void*)m_vfElements.m_vfElements16, (void *)pElements, 16*sizeof(float));
00049 };
00050
00051 Matrix(const float vfElements[4][4])
00052 {
00053 memcpy((void*)m_vfElements.m_vfElements16, (void *)vfElements, 16*sizeof(float));
00054 };
00055
00056 Matrix(const Quaternion & quaRotation)
00057 {
00058 m_vfElements.m_vfElements16[0]=m_vfElements.m_vfElements16[5]=m_vfElements.m_vfElements16[10]=m_vfElements.m_vfElements16[15]=1.0f;
00059 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;
00060 rotate(quaRotation);
00061 };
00062
00063 ~Matrix()
00064 {
00065 };
00066
00067 void Set(const float *pElements)
00068 {
00069 memcpy((void*)m_vfElements.m_vfElements16, (void *)pElements, 16*sizeof(float));
00070 };
00071
00072 void clearMatrix()
00073 {
00074 m_vfElements.m_vfElements16[0]=m_vfElements.m_vfElements16[5]=m_vfElements.m_vfElements16[10]=m_vfElements.m_vfElements16[15]=1.0f;
00075 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;
00076 };
00077
00078 const float * Get() const
00079 {
00080 return (float *) m_vfElements.m_vfElements16;
00081 };
00082
00083 void Set(const unsigned int i, const unsigned int j, const float & fValue)
00084 {
00085 m_vfElements.m_vfElements44[i][j] = fValue;
00086 };
00087
00088 const float & Get(const unsigned int i, const unsigned int j) const
00089 {
00090 return m_vfElements.m_vfElements44[i][j];
00091 };
00092
00093 const float & Get(const unsigned int i) const
00094 {
00095 return m_vfElements.m_vfElements16[i];
00096 };
00097
00098 void SetRow(const unsigned int i, const float vfValues[4])
00099 {
00100 m_vfElements.m_vfElements16[ i+0] = vfValues[0];
00101 m_vfElements.m_vfElements16[ i+4] = vfValues[1];
00102 m_vfElements.m_vfElements16[ i+8] = vfValues[2];
00103 m_vfElements.m_vfElements16[i+12] = vfValues[3];
00104 };
00105
00106 void SetColumn(const unsigned int i, const float vfValues[4])
00107 {
00108 m_vfElements.m_vfElements16[i*4+0] = vfValues[0];
00109 m_vfElements.m_vfElements16[i*4+1] = vfValues[1];
00110 m_vfElements.m_vfElements16[i*4+2] = vfValues[2];
00111 m_vfElements.m_vfElements16[i*4+3] = vfValues[3];
00112 };
00113
00114 void SetRow(const unsigned int i, const Vector & vecVector)
00115 {
00116 m_vfElements.m_vfElements16[ i+0] = vecVector.GetX();
00117 m_vfElements.m_vfElements16[ i+4] = vecVector.GetY();
00118 m_vfElements.m_vfElements16[ i+8] = vecVector.GetZ();
00119 };
00120
00121 void SetColumn(const unsigned int i, const Vector & vecVector)
00122 {
00123 m_vfElements.m_vfElements16[i*4+0] = vecVector.GetX();
00124 m_vfElements.m_vfElements16[i*4+1] = vecVector.GetY();
00125 m_vfElements.m_vfElements16[i*4+2] = vecVector.GetZ();
00126 };
00127
00128 float & operator()(const unsigned int i, const unsigned int j)
00129 {
00130 return m_vfElements.m_vfElements44[i][j];
00131 };
00132
00133 const float & operator()(const unsigned int i, const unsigned int j) const
00134 {
00135 return m_vfElements.m_vfElements44[i][j];
00136 };
00137
00138 void SetTranslation(const Vector & vecTranslation)
00139 {
00140 m_vfElements.m_vfElements16[12] = vecTranslation.GetX();
00141 m_vfElements.m_vfElements16[13] = vecTranslation.GetY();
00142 m_vfElements.m_vfElements16[14] = vecTranslation.GetZ();
00143 m_vfElements.m_vfElements16[15] = 1.0f;
00144 };
00145
00146 const Vector GetTranslation() const
00147 {
00148 return Vector(m_vfElements.m_vfElements16[12],m_vfElements.m_vfElements16[13],m_vfElements.m_vfElements16[14]);
00149 };
00150
00151 const Quaternion GetRotation() const
00152 {
00153 const float fTrace = m_vfElements.m_vfElements16[0] + m_vfElements.m_vfElements16[5] + m_vfElements.m_vfElements16[10] + 1.0f;
00154
00155 if (fTrace > 0.0f)
00156 {
00157 const float fS = 0.5f / sqrt(fTrace);
00158 const float fW = 0.25f / fS;
00159 const float fX = ( m_vfElements.m_vfElements16[6] - m_vfElements.m_vfElements16[9] ) * fS;
00160 const float fY = ( m_vfElements.m_vfElements16[8] - m_vfElements.m_vfElements16[2] ) * fS;
00161 const float fZ = ( m_vfElements.m_vfElements16[1] - m_vfElements.m_vfElements16[4] ) * fS;
00162 return Quaternion(Vector(fX,fY,fZ).GetNormalized(),fW);
00163 }
00164 else
00165 {
00166 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]));
00167
00168 if (fMaximum == m_vfElements.m_vfElements44[0][0])
00169 {
00170 const float fS = sqrtf( 1.0f + m_vfElements.m_vfElements16[0] - m_vfElements.m_vfElements16[5] - m_vfElements.m_vfElements16[10] ) * 2.0f;
00171 const float fX = 0.5f / fS;
00172 const float fY = (m_vfElements.m_vfElements16[4] + m_vfElements.m_vfElements16[1] ) / fS;
00173 const float fZ = (m_vfElements.m_vfElements16[8] + m_vfElements.m_vfElements16[2] ) / fS;
00174 const float fW = (m_vfElements.m_vfElements16[9] + m_vfElements.m_vfElements16[6] ) / fS;
00175 return Quaternion(Vector(fX,fY,fZ).GetNormalized(),fW);
00176 }
00177 else if (fMaximum == m_vfElements.m_vfElements44[1][1])
00178 {
00179 const float fS = sqrtf( 1.0f + m_vfElements.m_vfElements16[5] - m_vfElements.m_vfElements16[0] - m_vfElements.m_vfElements16[10] ) * 2.0f;
00180 const float fX = (m_vfElements.m_vfElements16[4] + m_vfElements.m_vfElements16[1] ) / fS;
00181 const float fY = 0.5f / fS;
00182 const float fZ = (m_vfElements.m_vfElements16[9] + m_vfElements.m_vfElements16[6] ) / fS;
00183 const float fW = (m_vfElements.m_vfElements16[8] + m_vfElements.m_vfElements16[2] ) / fS;
00184 return Quaternion(Vector(fX,fY,fZ).GetNormalized(),fW);
00185 }
00186 else
00187 {
00188 const float fS = sqrtf( 1.0f + m_vfElements.m_vfElements16[10] - m_vfElements.m_vfElements16[0] - m_vfElements.m_vfElements16[5] ) * 2.0f;
00189 const float fX = (m_vfElements.m_vfElements16[8] + m_vfElements.m_vfElements16[2] ) / fS;
00190 const float fY = (m_vfElements.m_vfElements16[9] + m_vfElements.m_vfElements16[6] ) / fS;
00191 const float fZ = 0.5f / fS;
00192 const float fW = (m_vfElements.m_vfElements16[4] + m_vfElements.m_vfElements16[1] ) / fS;
00193 return Quaternion(Vector(fX,fY,fZ).GetNormalized(),fW);
00194 }
00195 }
00196 };
00197
00198 const Matrix GetTranslated(const Vector & vecTranslation) const
00199 {
00200 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);
00201 };
00202
00203 void translate(const Vector &vecTranslation)
00204 {
00205 *this = GetTranslated(vecTranslation);
00206 };
00207
00208 const Matrix GetScaled(const Vector &vecScale) const
00209 {
00210 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);
00211 };
00212
00213 void scale(const Vector &vecScale)
00214 {
00215 *this = GetScaled(vecScale);
00216 };
00217
00218 const Matrix GetRotated(const Quaternion & quaRotation) const
00219 {
00220 const float fXX = quaRotation.GetVector().GetX() * quaRotation.GetVector().GetX();
00221 const float fXY = quaRotation.GetVector().GetX() * quaRotation.GetVector().GetY();
00222 const float fXZ = quaRotation.GetVector().GetX() * quaRotation.GetVector().GetZ();
00223 const float fXW = quaRotation.GetVector().GetX() * quaRotation.GetScalar();
00224 const float fYY = quaRotation.GetVector().GetY() * quaRotation.GetVector().GetY();
00225 const float fYZ = quaRotation.GetVector().GetY() * quaRotation.GetVector().GetZ();
00226 const float fYW = quaRotation.GetVector().GetY() * quaRotation.GetScalar();
00227 const float fZZ = quaRotation.GetVector().GetZ() * quaRotation.GetVector().GetZ();
00228 const float fZW = quaRotation.GetVector().GetZ() * quaRotation.GetScalar();
00229
00230 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);
00231 };
00232
00233 void rotate(const Quaternion & quaRotation)
00234 {
00235 *this = GetRotated(quaRotation);
00236 };
00237
00238 const Matrix GetInverse() const
00239 {
00240 const float fTmp1 = m_vfElements.m_vfElements44[2][2]*m_vfElements.m_vfElements44[3][3];
00241 const float fTmp2 = m_vfElements.m_vfElements44[0][1]*fTmp1;
00242 const float fTmp4 = m_vfElements.m_vfElements44[2][3]*m_vfElements.m_vfElements44[3][2];
00243 const float fTmp5 = m_vfElements.m_vfElements44[0][1]*fTmp4;
00244 const float fTmp6 = m_vfElements.m_vfElements44[0][2]*m_vfElements.m_vfElements44[3][3];
00245 const float fTmp7 = m_vfElements.m_vfElements44[2][1]*fTmp6;
00246 const float fTmp8 = m_vfElements.m_vfElements44[0][3]*m_vfElements.m_vfElements44[3][2];
00247 const float fTmp9 = m_vfElements.m_vfElements44[2][1]*fTmp8;
00248 const float fTmp11 = m_vfElements.m_vfElements44[0][2]*m_vfElements.m_vfElements44[2][3];
00249 const float fTmp12 = m_vfElements.m_vfElements44[3][1]*fTmp11;
00250 const float fTmp14 = m_vfElements.m_vfElements44[0][3]*m_vfElements.m_vfElements44[2][2];
00251 const float fTmp15 = m_vfElements.m_vfElements44[3][1]*fTmp14;
00252 const float fTmp17 = m_vfElements.m_vfElements44[1][1]*fTmp1;
00253 const float fTmp19 = m_vfElements.m_vfElements44[1][1]*fTmp4;
00254 const float fTmp22 = m_vfElements.m_vfElements44[1][2]*m_vfElements.m_vfElements44[3][3];
00255 const float fTmp23 = m_vfElements.m_vfElements44[2][1]*fTmp22;
00256 const float fTmp26 = m_vfElements.m_vfElements44[1][3]*m_vfElements.m_vfElements44[3][2];
00257 const float fTmp27 = m_vfElements.m_vfElements44[2][1]*fTmp26;
00258 const float fTmp29 = m_vfElements.m_vfElements44[1][2]*m_vfElements.m_vfElements44[2][3];
00259 const float fTmp30 = m_vfElements.m_vfElements44[3][1]*fTmp29;
00260 const float fTmp32 = m_vfElements.m_vfElements44[1][3]*m_vfElements.m_vfElements44[2][2];
00261 const float fTmp33 = m_vfElements.m_vfElements44[3][1]*fTmp32;
00262 const float fTmp48 = m_vfElements.m_vfElements44[0][1]*fTmp22;
00263 const float fTmp50 = m_vfElements.m_vfElements44[0][1]*fTmp26;
00264 const float fTmp53 = m_vfElements.m_vfElements44[1][1]*fTmp6;
00265 const float fTmp56 = m_vfElements.m_vfElements44[1][1]*fTmp8;
00266 const float fTmp58 = m_vfElements.m_vfElements44[0][2]*m_vfElements.m_vfElements44[1][3];
00267 const float fTmp59 = m_vfElements.m_vfElements44[3][1]*fTmp58;
00268 const float fTmp61 = m_vfElements.m_vfElements44[0][3]*m_vfElements.m_vfElements44[1][2];
00269 const float fTmp62 = m_vfElements.m_vfElements44[3][1]*fTmp61;
00270 const float fTmp66 = m_vfElements.m_vfElements44[0][1]*fTmp29;
00271 const float fTmp69 = m_vfElements.m_vfElements44[0][1]*fTmp32;
00272 const float fTmp71 = m_vfElements.m_vfElements44[1][1]*fTmp11;
00273 const float fTmp73 = m_vfElements.m_vfElements44[1][1]*fTmp14;
00274 const float fTmp76 = m_vfElements.m_vfElements44[2][1]*fTmp58;
00275 const float fTmp79 = m_vfElements.m_vfElements44[2][1]*fTmp61;
00276 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);
00277 const float fTmp116 = m_vfElements.m_vfElements44[2][1]*m_vfElements.m_vfElements44[3][2];
00278 const float fTmp118 = m_vfElements.m_vfElements44[2][2]*m_vfElements.m_vfElements44[3][1];
00279 const float fTmp121 = m_vfElements.m_vfElements44[0][1]*m_vfElements.m_vfElements44[3][2];
00280 const float fTmp124 = m_vfElements.m_vfElements44[0][2]*m_vfElements.m_vfElements44[3][1];
00281 const float fTmp126 = m_vfElements.m_vfElements44[0][1]*m_vfElements.m_vfElements44[2][2];
00282 const float fTmp128 = m_vfElements.m_vfElements44[0][2]*m_vfElements.m_vfElements44[2][1];
00283 const float fTmp133 = m_vfElements.m_vfElements44[2][1]*m_vfElements.m_vfElements44[3][3];
00284 const float fTmp135 = m_vfElements.m_vfElements44[2][3]*m_vfElements.m_vfElements44[3][1];
00285 const float fTmp138 = m_vfElements.m_vfElements44[0][1]*m_vfElements.m_vfElements44[3][3];
00286 const float fTmp141 = m_vfElements.m_vfElements44[0][3]*m_vfElements.m_vfElements44[3][1];
00287 const float fTmp143 = m_vfElements.m_vfElements44[0][1]*m_vfElements.m_vfElements44[2][3];
00288 const float fTmp145 = m_vfElements.m_vfElements44[0][3]*m_vfElements.m_vfElements44[2][1];
00289 const float fTmp151 = m_vfElements.m_vfElements44[1][1]*m_vfElements.m_vfElements44[2][2];
00290 const float fTmp153 = m_vfElements.m_vfElements44[1][2]*m_vfElements.m_vfElements44[2][1];
00291 const float fTmp159 = m_vfElements.m_vfElements44[0][1]*m_vfElements.m_vfElements44[1][2];
00292 const float fTmp161 = m_vfElements.m_vfElements44[0][2]*m_vfElements.m_vfElements44[1][1];
00293 const float fTmp166 = m_vfElements.m_vfElements44[1][1]*m_vfElements.m_vfElements44[3][3];
00294 const float fTmp168 = m_vfElements.m_vfElements44[1][3]*m_vfElements.m_vfElements44[3][1];
00295 const float fTmp174 = m_vfElements.m_vfElements44[0][1]*m_vfElements.m_vfElements44[1][3];
00296 const float fTmp176 = m_vfElements.m_vfElements44[0][3]*m_vfElements.m_vfElements44[1][1];
00297 const float fTmp187 = m_vfElements.m_vfElements44[1][1]*m_vfElements.m_vfElements44[2][3];
00298 const float fTmp189 = m_vfElements.m_vfElements44[1][3]*m_vfElements.m_vfElements44[2][1];
00299 const float fTmp212 = m_vfElements.m_vfElements44[1][1]*m_vfElements.m_vfElements44[3][2];
00300 const float fTmp214 = m_vfElements.m_vfElements44[1][2]*m_vfElements.m_vfElements44[3][1];
00301
00302 Matrix matNew;
00303 matNew.m_vfElements.m_vfElements44[0][1] = (-fTmp2+fTmp5+fTmp7-fTmp9-fTmp12+fTmp15)*fTmp84;
00304 matNew.m_vfElements.m_vfElements44[0][2] = -(-fTmp48+fTmp50+fTmp53-fTmp56-fTmp59+fTmp62)*fTmp84;
00305 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;
00306 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;
00307 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;
00308 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;
00309 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;
00310 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;
00311 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;
00312 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;
00313 matNew.m_vfElements.m_vfElements44[0][3] = -(fTmp66-fTmp69-fTmp71+fTmp73+fTmp76-fTmp79)*fTmp84;
00314 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;
00315 matNew.m_vfElements.m_vfElements44[0][0] = (fTmp17-fTmp19-fTmp23+fTmp27+fTmp30-fTmp33)*fTmp84;
00316 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;
00317 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;
00318 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;
00319
00320 return matNew;
00321 };
00322
00323 void invert()
00324 {
00325 (*this) = GetInverse();
00326 }
00327
00328 const Matrix GetTransposed() const
00329 {
00330 return Matrix(
00331 m_vfElements.m_vfElements16[0],m_vfElements.m_vfElements16[1],m_vfElements.m_vfElements16[2],m_vfElements.m_vfElements16[3],
00332 m_vfElements.m_vfElements16[4],m_vfElements.m_vfElements16[5],m_vfElements.m_vfElements16[6],m_vfElements.m_vfElements16[7],
00333 m_vfElements.m_vfElements16[8],m_vfElements.m_vfElements16[9],m_vfElements.m_vfElements16[10],m_vfElements.m_vfElements16[11],
00334 m_vfElements.m_vfElements16[12],m_vfElements.m_vfElements16[13],m_vfElements.m_vfElements16[14],m_vfElements.m_vfElements16[15]);
00335 };
00336
00337 void transpose()
00338 {
00339 (*this) = GetTransposed();
00340 };
00341
00342 const Vector GetRotated(const Vector & vecOther) const
00343 {
00344 return Vector(
00345 (m_vfElements.m_vfElements16[0]*vecOther.GetX() + m_vfElements.m_vfElements16[4]*vecOther.GetY() + m_vfElements.m_vfElements16[8]*vecOther.GetZ()),
00346 (m_vfElements.m_vfElements16[1]*vecOther.GetX() + m_vfElements.m_vfElements16[5]*vecOther.GetY() + m_vfElements.m_vfElements16[9]*vecOther.GetZ()),
00347 (m_vfElements.m_vfElements16[2]*vecOther.GetX() + m_vfElements.m_vfElements16[6]*vecOther.GetY() + m_vfElements.m_vfElements16[10]*vecOther.GetZ()));
00348 };
00349
00350 const bool operator==(const Matrix & matOther) const
00351 {
00352 for (unsigned int i=0;i < 16; i++)
00353 {
00354 if (m_vfElements.m_vfElements16[i] != matOther.m_vfElements.m_vfElements16[i])
00355 return false;
00356 }
00357
00358 return true;
00359 };
00360
00361 const bool operator!=(const Matrix & matOther) const
00362 {
00363 return !(*this == matOther);
00364 };
00365
00366 const Matrix operator*(const Matrix & matOther) const
00367 {
00368 return Matrix(
00369 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],
00370 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],
00371 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],
00372 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],
00373
00374 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],
00375 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],
00376 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],
00377 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],
00378
00379 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],
00380 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],
00381 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],
00382 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],
00383
00384 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],
00385 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],
00386 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],
00387 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] );
00388 };
00389
00390 const Matrix & operator*=(const Matrix & matOther)
00391 {
00392 *this = (*this) * matOther;
00393 return *this;
00394 };
00395
00396 const Vector operator* (const Vector &vecOther) const
00397 {
00398 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];
00399 return Vector(
00400 (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,
00401 (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,
00402 (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 );
00403 };
00404
00405 const Vector4 operator* (const Vector4 &vecOther) const
00406 {
00407 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]*vecOther.GetW();
00408 return Vector4(
00409 (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]*vecOther.GetW()),
00410 (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]*vecOther.GetW()),
00411 (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]*vecOther.GetW()),
00412 (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]*vecOther.GetW()));
00413 };
00414
00415 private:
00416
00417 union
00418 {
00419 float m_vfElements16[16];
00420 float m_vfElements44[4][4];
00421 } m_vfElements;
00422 };
00423
00424 inline std::ostream & operator << (std::ostream & os, const Matrix & matMatrix)
00425 {
00426 os << "((" << matMatrix.Get(0,0) << ";" << matMatrix.Get(0,1) << ";" << matMatrix.Get(0,2) << ";" << matMatrix.Get(0,3) << ")" << ";"
00427 << "(" << matMatrix.Get(1,0) << ";" << matMatrix.Get(1,1) << ";" << matMatrix.Get(1,2) << ";" << matMatrix.Get(1,3) << ")" << ";"
00428 << "(" << matMatrix.Get(2,0) << ";" << matMatrix.Get(2,1) << ";" << matMatrix.Get(2,2) << ";" << matMatrix.Get(2,3) << ")" << ";"
00429 << "(" << matMatrix.Get(3,0) << ";" << matMatrix.Get(3,1) << ";" << matMatrix.Get(3,2) << ";" << matMatrix.Get(3,3) << "))";
00430 return os;
00431 }
00432
00433 inline std::istream & operator>> (std::istream & is, Matrix & matMatrix)
00434 {
00435 float f00, f01, f02, f03;
00436 float f10, f11, f12, f13;
00437 float f20, f21, f22, f23;
00438 float f30, f31, f32, f33;
00439
00440 if (is
00441 >> eat ("(")
00442 >> eat("(") >> f00 >> eat(";") >> f01 >> eat(";") >> f02 >> eat(";") >> f03 >> eat(")") >> eat(";")
00443 >> eat("(") >> f10 >> eat(";") >> f11 >> eat(";") >> f12 >> eat(";") >> f13 >> eat(")") >> eat(";")
00444 >> eat("(") >> f20 >> eat(";") >> f21 >> eat(";") >> f22 >> eat(";") >> f23 >> eat(")") >> eat(";")
00445 >> eat("(") >> f30 >> eat(";") >> f31 >> eat(";") >> f32 >> eat(";") >> f33 >> eat(")")
00446 >> eat(")"))
00447 {
00448 matMatrix.Set(0,0,f00); matMatrix.Set(0,1,f01); matMatrix.Set(0,2,f02); matMatrix.Set(0,3,f03);
00449 matMatrix.Set(1,0,f10); matMatrix.Set(1,1,f11); matMatrix.Set(1,2,f12); matMatrix.Set(1,3,f13);
00450 matMatrix.Set(2,0,f20); matMatrix.Set(2,1,f21); matMatrix.Set(2,2,f22); matMatrix.Set(2,3,f23);
00451 matMatrix.Set(3,0,f30); matMatrix.Set(3,1,f31); matMatrix.Set(3,2,f32); matMatrix.Set(3,3,f33);
00452
00453 }
00454
00455 return is;
00456 }