Geant4 Cross Reference |
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Please see the license in the file LICENSE and URL above * 16 // * for the full disclaimer and the limitatio 16 // * for the full disclaimer and the limitation of liability. * 17 // * 17 // * * 18 // * This code implementation is the result 18 // * This code implementation is the result of the scientific and * 19 // * technical work of the GEANT4 collaboratio 19 // * technical work of the GEANT4 collaboration. * 20 // * By using, copying, modifying or distri 20 // * By using, copying, modifying or distributing the software (or * 21 // * any work based on the software) you ag 21 // * any work based on the software) you agree to acknowledge its * 22 // * use in resulting scientific publicati 22 // * use in resulting scientific publications, and indicate your * 23 // * acceptance of all terms of the Geant4 Sof 23 // * acceptance of all terms of the Geant4 Software license. * 24 // ******************************************* 24 // ******************************************************************** 25 // 25 // 26 // G4AffineTransformation Inline implementatio 26 // G4AffineTransformation Inline implementation 27 // 27 // 28 // ------------------------------------------- 28 // -------------------------------------------------------------------- 29 29 30 inline G4AffineTransform::G4AffineTransform() 30 inline G4AffineTransform::G4AffineTransform() 31 : rxx(1),rxy(0),rxz(0), 31 : rxx(1),rxy(0),rxz(0), 32 ryx(0),ryy(1),ryz(0), 32 ryx(0),ryy(1),ryz(0), 33 rzx(0),rzy(0),rzz(1), 33 rzx(0),rzy(0),rzz(1), 34 tx(0),ty(0),tz(0) 34 tx(0),ty(0),tz(0) 35 {} 35 {} 36 36 37 inline G4AffineTransform::G4AffineTransform(co 37 inline G4AffineTransform::G4AffineTransform(const G4ThreeVector& tlate) 38 : rxx(1),rxy(0),rxz(0), 38 : rxx(1),rxy(0),rxz(0), 39 ryx(0),ryy(1),ryz(0), 39 ryx(0),ryy(1),ryz(0), 40 rzx(0),rzy(0),rzz(1), 40 rzx(0),rzy(0),rzz(1), 41 tx(tlate.x()),ty(tlate.y()),tz(tlate.z()) 41 tx(tlate.x()),ty(tlate.y()),tz(tlate.z()) 42 {} 42 {} 43 43 44 inline G4AffineTransform::G4AffineTransform(co 44 inline G4AffineTransform::G4AffineTransform(const G4RotationMatrix& rot) 45 : rxx(rot.xx()),rxy(rot.xy()),rxz(rot.xz()), 45 : rxx(rot.xx()),rxy(rot.xy()),rxz(rot.xz()), 46 ryx(rot.yx()),ryy(rot.yy()),ryz(rot.yz()), 46 ryx(rot.yx()),ryy(rot.yy()),ryz(rot.yz()), 47 rzx(rot.zx()),rzy(rot.zy()),rzz(rot.zz()), 47 rzx(rot.zx()),rzy(rot.zy()),rzz(rot.zz()), 48 tx(0),ty(0),tz(0) 48 tx(0),ty(0),tz(0) 49 {} 49 {} 50 50 51 inline G4AffineTransform::G4AffineTransform( c 51 inline G4AffineTransform::G4AffineTransform( const G4RotationMatrix& rot, 52 c 52 const G4ThreeVector& tlate ) 53 : rxx(rot.xx()),rxy(rot.xy()),rxz(rot.xz()), 53 : rxx(rot.xx()),rxy(rot.xy()),rxz(rot.xz()), 54 ryx(rot.yx()),ryy(rot.yy()),ryz(rot.yz()), 54 ryx(rot.yx()),ryy(rot.yy()),ryz(rot.yz()), 55 rzx(rot.zx()),rzy(rot.zy()),rzz(rot.zz()), 55 rzx(rot.zx()),rzy(rot.zy()),rzz(rot.zz()), 56 tx(tlate.x()),ty(tlate.y()),tz(tlate.z()) 56 tx(tlate.x()),ty(tlate.y()),tz(tlate.z()) 57 {} 57 {} 58 58 59 inline G4AffineTransform::G4AffineTransform( c 59 inline G4AffineTransform::G4AffineTransform( const G4RotationMatrix* rot, 60 c 60 const G4ThreeVector& tlate ) 61 : tx(tlate.x()),ty(tlate.y()),tz(tlate.z()) 61 : tx(tlate.x()),ty(tlate.y()),tz(tlate.z()) 62 { 62 { 63 if (rot != nullptr) 63 if (rot != nullptr) 64 { 64 { 65 rxx=rot->xx();rxy=rot->xy();rxz=rot->xz(); 65 rxx=rot->xx();rxy=rot->xy();rxz=rot->xz(); 66 ryx=rot->yx();ryy=rot->yy();ryz=rot->yz(); 66 ryx=rot->yx();ryy=rot->yy();ryz=rot->yz(); 67 rzx=rot->zx();rzy=rot->zy();rzz=rot->zz(); 67 rzx=rot->zx();rzy=rot->zy();rzz=rot->zz(); 68 } 68 } 69 else 69 else 70 { 70 { 71 rxx=1; rxy=0; rxz=0; 71 rxx=1; rxy=0; rxz=0; 72 ryx=0; ryy=1; ryz=0; 72 ryx=0; ryy=1; ryz=0; 73 rzx=0; rzy=0; rzz=1; 73 rzx=0; rzy=0; rzz=1; 74 } 74 } 75 } 75 } 76 76 77 inline 77 inline 78 G4AffineTransform:: 78 G4AffineTransform:: 79 G4AffineTransform( const G4double prxx,const G 79 G4AffineTransform( const G4double prxx,const G4double prxy,const G4double prxz, 80 const G4double pryx,const G 80 const G4double pryx,const G4double pryy,const G4double pryz, 81 const G4double przx,const G 81 const G4double przx,const G4double przy,const G4double przz, 82 const G4double ptx,const G4 82 const G4double ptx,const G4double pty,const G4double ptz ) 83 : rxx(prxx),rxy(prxy),rxz(prxz), 83 : rxx(prxx),rxy(prxy),rxz(prxz), 84 ryx(pryx),ryy(pryy),ryz(pryz), 84 ryx(pryx),ryy(pryy),ryz(pryz), 85 rzx(przx),rzy(przy),rzz(przz), 85 rzx(przx),rzy(przy),rzz(przz), 86 tx(ptx),ty(pty),tz(ptz) 86 tx(ptx),ty(pty),tz(ptz) 87 {} 87 {} 88 88 89 inline G4AffineTransform& 89 inline G4AffineTransform& 90 G4AffineTransform::operator = (const G4AffineT 90 G4AffineTransform::operator = (const G4AffineTransform& rhs) 91 { 91 { 92 if (this == &rhs) { return *this; } 92 if (this == &rhs) { return *this; } 93 rxx = rhs.rxx; rxy = rhs.rxy; rxz = rhs.rxz; 93 rxx = rhs.rxx; rxy = rhs.rxy; rxz = rhs.rxz; 94 ryx = rhs.ryx; ryy = rhs.ryy; ryz = rhs.ryz; 94 ryx = rhs.ryx; ryy = rhs.ryy; ryz = rhs.ryz; 95 rzx = rhs.rzx; rzy = rhs.rzy; rzz = rhs.rzz; 95 rzx = rhs.rzx; rzy = rhs.rzy; rzz = rhs.rzz; 96 tx = rhs.tx; ty = rhs.ty; tz = rhs.tz; 96 tx = rhs.tx; ty = rhs.ty; tz = rhs.tz; 97 return *this; 97 return *this; 98 } 98 } 99 99 100 inline G4AffineTransform 100 inline G4AffineTransform 101 G4AffineTransform::operator * (const G4AffineT 101 G4AffineTransform::operator * (const G4AffineTransform& tf) const 102 { 102 { 103 return G4AffineTransform(rxx*tf.rxx+rxy*tf.r 103 return G4AffineTransform(rxx*tf.rxx+rxy*tf.ryx+rxz*tf.rzx, 104 rxx*tf.rxy+rxy*tf.r 104 rxx*tf.rxy+rxy*tf.ryy+rxz*tf.rzy, 105 rxx*tf.rxz+rxy*tf.r 105 rxx*tf.rxz+rxy*tf.ryz+rxz*tf.rzz, 106 106 107 ryx*tf.rxx+ryy*tf.r 107 ryx*tf.rxx+ryy*tf.ryx+ryz*tf.rzx, 108 ryx*tf.rxy+ryy*tf.r 108 ryx*tf.rxy+ryy*tf.ryy+ryz*tf.rzy, 109 ryx*tf.rxz+ryy*tf.r 109 ryx*tf.rxz+ryy*tf.ryz+ryz*tf.rzz, 110 110 111 rzx*tf.rxx+rzy*tf.r 111 rzx*tf.rxx+rzy*tf.ryx+rzz*tf.rzx, 112 rzx*tf.rxy+rzy*tf.r 112 rzx*tf.rxy+rzy*tf.ryy+rzz*tf.rzy, 113 rzx*tf.rxz+rzy*tf.r 113 rzx*tf.rxz+rzy*tf.ryz+rzz*tf.rzz, 114 114 115 tx*tf.rxx+ty*tf.ryx 115 tx*tf.rxx+ty*tf.ryx+tz*tf.rzx+tf.tx, 116 tx*tf.rxy+ty*tf.ryy 116 tx*tf.rxy+ty*tf.ryy+tz*tf.rzy+tf.ty, 117 tx*tf.rxz+ty*tf.ryz 117 tx*tf.rxz+ty*tf.ryz+tz*tf.rzz+tf.tz); 118 } 118 } 119 119 120 inline G4AffineTransform& 120 inline G4AffineTransform& 121 G4AffineTransform::operator *= (const G4Affine 121 G4AffineTransform::operator *= (const G4AffineTransform& tf) 122 { 122 { 123 // Use temporaries for `in place' compound t 123 // Use temporaries for `in place' compound transform computation 124 // 124 // 125 G4double nrxx=rxx*tf.rxx+rxy*tf.ryx+rxz*tf.r 125 G4double nrxx=rxx*tf.rxx+rxy*tf.ryx+rxz*tf.rzx; 126 G4double nrxy=rxx*tf.rxy+rxy*tf.ryy+rxz*tf.r 126 G4double nrxy=rxx*tf.rxy+rxy*tf.ryy+rxz*tf.rzy; 127 G4double nrxz=rxx*tf.rxz+rxy*tf.ryz+rxz*tf.r 127 G4double nrxz=rxx*tf.rxz+rxy*tf.ryz+rxz*tf.rzz; 128 128 129 G4double nryx=ryx*tf.rxx+ryy*tf.ryx+ryz*tf.r 129 G4double nryx=ryx*tf.rxx+ryy*tf.ryx+ryz*tf.rzx; 130 G4double nryy=ryx*tf.rxy+ryy*tf.ryy+ryz*tf.r 130 G4double nryy=ryx*tf.rxy+ryy*tf.ryy+ryz*tf.rzy; 131 G4double nryz=ryx*tf.rxz+ryy*tf.ryz+ryz*tf.r 131 G4double nryz=ryx*tf.rxz+ryy*tf.ryz+ryz*tf.rzz; 132 132 133 G4double nrzx=rzx*tf.rxx+rzy*tf.ryx+rzz*tf.r 133 G4double nrzx=rzx*tf.rxx+rzy*tf.ryx+rzz*tf.rzx; 134 G4double nrzy=rzx*tf.rxy+rzy*tf.ryy+rzz*tf.r 134 G4double nrzy=rzx*tf.rxy+rzy*tf.ryy+rzz*tf.rzy; 135 G4double nrzz=rzx*tf.rxz+rzy*tf.ryz+rzz*tf.r 135 G4double nrzz=rzx*tf.rxz+rzy*tf.ryz+rzz*tf.rzz; 136 136 137 G4double ntx=tx*tf.rxx+ty*tf.ryx+tz*tf.rzx+t 137 G4double ntx=tx*tf.rxx+ty*tf.ryx+tz*tf.rzx+tf.tx; 138 G4double nty=tx*tf.rxy+ty*tf.ryy+tz*tf.rzy+t 138 G4double nty=tx*tf.rxy+ty*tf.ryy+tz*tf.rzy+tf.ty; 139 G4double ntz=tx*tf.rxz+ty*tf.ryz+tz*tf.rzz+t 139 G4double ntz=tx*tf.rxz+ty*tf.ryz+tz*tf.rzz+tf.tz; 140 140 141 tx=ntx; ty=nty; tz=ntz; 141 tx=ntx; ty=nty; tz=ntz; 142 rxx=nrxx; rxy=nrxy; rxz=nrxz; 142 rxx=nrxx; rxy=nrxy; rxz=nrxz; 143 ryx=nryx; ryy=nryy; ryz=nryz; 143 ryx=nryx; ryy=nryy; ryz=nryz; 144 rzx=nrzx; rzy=nrzy; rzz=nrzz; 144 rzx=nrzx; rzy=nrzy; rzz=nrzz; 145 145 146 return *this; 146 return *this; 147 } 147 } 148 148 149 inline G4AffineTransform& 149 inline G4AffineTransform& 150 G4AffineTransform::Product( const G4AffineTran 150 G4AffineTransform::Product( const G4AffineTransform& tf1, 151 const G4AffineTran 151 const G4AffineTransform& tf2 ) 152 { 152 { 153 rxx = tf1.rxx*tf2.rxx + tf1.rxy*tf2.ryx + tf 153 rxx = tf1.rxx*tf2.rxx + tf1.rxy*tf2.ryx + tf1.rxz*tf2.rzx; 154 rxy = tf1.rxx*tf2.rxy + tf1.rxy*tf2.ryy + tf 154 rxy = tf1.rxx*tf2.rxy + tf1.rxy*tf2.ryy + tf1.rxz*tf2.rzy; 155 rxz = tf1.rxx*tf2.rxz + tf1.rxy*tf2.ryz + tf 155 rxz = tf1.rxx*tf2.rxz + tf1.rxy*tf2.ryz + tf1.rxz*tf2.rzz; 156 156 157 ryx = tf1.ryx*tf2.rxx + tf1.ryy*tf2.ryx + tf 157 ryx = tf1.ryx*tf2.rxx + tf1.ryy*tf2.ryx + tf1.ryz*tf2.rzx; 158 ryy = tf1.ryx*tf2.rxy + tf1.ryy*tf2.ryy + tf 158 ryy = tf1.ryx*tf2.rxy + tf1.ryy*tf2.ryy + tf1.ryz*tf2.rzy; 159 ryz = tf1.ryx*tf2.rxz + tf1.ryy*tf2.ryz + tf 159 ryz = tf1.ryx*tf2.rxz + tf1.ryy*tf2.ryz + tf1.ryz*tf2.rzz; 160 160 161 rzx = tf1.rzx*tf2.rxx + tf1.rzy*tf2.ryx + tf 161 rzx = tf1.rzx*tf2.rxx + tf1.rzy*tf2.ryx + tf1.rzz*tf2.rzx; 162 rzy = tf1.rzx*tf2.rxy + tf1.rzy*tf2.ryy + tf 162 rzy = tf1.rzx*tf2.rxy + tf1.rzy*tf2.ryy + tf1.rzz*tf2.rzy; 163 rzz = tf1.rzx*tf2.rxz + tf1.rzy*tf2.ryz + tf 163 rzz = tf1.rzx*tf2.rxz + tf1.rzy*tf2.ryz + tf1.rzz*tf2.rzz; 164 164 165 tx = tf1.tx*tf2.rxx + tf1.ty*tf2.ryx + tf1.t 165 tx = tf1.tx*tf2.rxx + tf1.ty*tf2.ryx + tf1.tz*tf2.rzx + tf2.tx; 166 ty = tf1.tx*tf2.rxy + tf1.ty*tf2.ryy + tf1.t 166 ty = tf1.tx*tf2.rxy + tf1.ty*tf2.ryy + tf1.tz*tf2.rzy + tf2.ty; 167 tz = tf1.tx*tf2.rxz + tf1.ty*tf2.ryz + tf1.t 167 tz = tf1.tx*tf2.rxz + tf1.ty*tf2.ryz + tf1.tz*tf2.rzz + tf2.tz; 168 168 169 return *this; 169 return *this; 170 } 170 } 171 171 172 inline G4AffineTransform& 172 inline G4AffineTransform& 173 G4AffineTransform::InverseProduct( const G4Aff 173 G4AffineTransform::InverseProduct( const G4AffineTransform& tf1, 174 const G4Aff 174 const G4AffineTransform& tf2 ) 175 { 175 { 176 if ((tf2.rxx + tf2.ryy + tf2.rzz) == 3.) 176 if ((tf2.rxx + tf2.ryy + tf2.rzz) == 3.) 177 { 177 { 178 rxx = tf1.rxx; 178 rxx = tf1.rxx; 179 rxy = tf1.rxy; 179 rxy = tf1.rxy; 180 rxz = tf1.rxz; 180 rxz = tf1.rxz; 181 181 182 ryx = tf1.ryx; 182 ryx = tf1.ryx; 183 ryy = tf1.ryy; 183 ryy = tf1.ryy; 184 ryz = tf1.ryz; 184 ryz = tf1.ryz; 185 185 186 rzx = tf1.rzx; 186 rzx = tf1.rzx; 187 rzy = tf1.rzy; 187 rzy = tf1.rzy; 188 rzz = tf1.rzz; 188 rzz = tf1.rzz; 189 189 190 tx = tf1.tx - tf2.tx; 190 tx = tf1.tx - tf2.tx; 191 ty = tf1.ty - tf2.ty; 191 ty = tf1.ty - tf2.ty; 192 tz = tf1.tz - tf2.tz; 192 tz = tf1.tz - tf2.tz; 193 } 193 } 194 else 194 else 195 { 195 { 196 G4double tf1rxx = tf1.rxx, tf1rxy = tf1.rx 196 G4double tf1rxx = tf1.rxx, tf1rxy = tf1.rxy, tf1rxz = tf1.rxz; 197 rxx = tf1rxx*tf2.rxx + tf1rxy*tf2.rxy + tf 197 rxx = tf1rxx*tf2.rxx + tf1rxy*tf2.rxy + tf1rxz*tf2.rxz; 198 rxy = tf1rxx*tf2.ryx + tf1rxy*tf2.ryy + tf 198 rxy = tf1rxx*tf2.ryx + tf1rxy*tf2.ryy + tf1rxz*tf2.ryz; 199 rxz = tf1rxx*tf2.rzx + tf1rxy*tf2.rzy + tf 199 rxz = tf1rxx*tf2.rzx + tf1rxy*tf2.rzy + tf1rxz*tf2.rzz; 200 200 201 G4double tf1ryx = tf1.ryx, tf1ryy = tf1.ry 201 G4double tf1ryx = tf1.ryx, tf1ryy = tf1.ryy, tf1ryz = tf1.ryz; 202 ryx = tf1ryx*tf2.rxx + tf1ryy*tf2.rxy + tf 202 ryx = tf1ryx*tf2.rxx + tf1ryy*tf2.rxy + tf1ryz*tf2.rxz; 203 ryy = tf1ryx*tf2.ryx + tf1ryy*tf2.ryy + tf 203 ryy = tf1ryx*tf2.ryx + tf1ryy*tf2.ryy + tf1ryz*tf2.ryz; 204 ryz = tf1ryx*tf2.rzx + tf1ryy*tf2.rzy + tf 204 ryz = tf1ryx*tf2.rzx + tf1ryy*tf2.rzy + tf1ryz*tf2.rzz; 205 205 206 G4double tf1rzx = tf1.rzx, tf1rzy = tf1.rz 206 G4double tf1rzx = tf1.rzx, tf1rzy = tf1.rzy, tf1rzz = tf1.rzz; 207 rzx = tf1rzx*tf2.rxx + tf1rzy*tf2.rxy + tf 207 rzx = tf1rzx*tf2.rxx + tf1rzy*tf2.rxy + tf1rzz*tf2.rxz; 208 rzy = tf1rzx*tf2.ryx + tf1rzy*tf2.ryy + tf 208 rzy = tf1rzx*tf2.ryx + tf1rzy*tf2.ryy + tf1rzz*tf2.ryz; 209 rzz = tf1rzx*tf2.rzx + tf1rzy*tf2.rzy + tf 209 rzz = tf1rzx*tf2.rzx + tf1rzy*tf2.rzy + tf1rzz*tf2.rzz; 210 210 211 G4double tf1_2tx = tf1.tx - tf2.tx; 211 G4double tf1_2tx = tf1.tx - tf2.tx; 212 G4double tf1_2ty = tf1.ty - tf2.ty; 212 G4double tf1_2ty = tf1.ty - tf2.ty; 213 G4double tf1_2tz = tf1.tz - tf2.tz; 213 G4double tf1_2tz = tf1.tz - tf2.tz; 214 tx = tf1_2tx*tf2.rxx + tf1_2ty*tf2.rxy + t 214 tx = tf1_2tx*tf2.rxx + tf1_2ty*tf2.rxy + tf1_2tz*tf2.rxz; 215 ty = tf1_2tx*tf2.ryx + tf1_2ty*tf2.ryy + t 215 ty = tf1_2tx*tf2.ryx + tf1_2ty*tf2.ryy + tf1_2tz*tf2.ryz; 216 tz = tf1_2tx*tf2.rzx + tf1_2ty*tf2.rzy + t 216 tz = tf1_2tx*tf2.rzx + tf1_2ty*tf2.rzy + tf1_2tz*tf2.rzz; 217 } 217 } 218 return *this; 218 return *this; 219 } 219 } 220 220 221 inline G4ThreeVector 221 inline G4ThreeVector 222 G4AffineTransform::TransformPoint(const G4Thre 222 G4AffineTransform::TransformPoint(const G4ThreeVector& vec) const 223 { 223 { 224 G4double vecx = vec.x(), vecy = vec.y(), vec 224 G4double vecx = vec.x(), vecy = vec.y(), vecz = vec.z(); 225 return { vecx*rxx + vecy*ryx + vecz*rzx + tx 225 return { vecx*rxx + vecy*ryx + vecz*rzx + tx, 226 vecx*rxy + vecy*ryy + vecz*rzy + ty 226 vecx*rxy + vecy*ryy + vecz*rzy + ty, 227 vecx*rxz + vecy*ryz + vecz*rzz + tz 227 vecx*rxz + vecy*ryz + vecz*rzz + tz }; 228 } 228 } 229 229 230 inline G4ThreeVector 230 inline G4ThreeVector 231 G4AffineTransform::InverseTransformPoint(const 231 G4AffineTransform::InverseTransformPoint(const G4ThreeVector& vec) const 232 { 232 { 233 G4double vecx = vec.x()-tx, vecy = vec.y()-t 233 G4double vecx = vec.x()-tx, vecy = vec.y()-ty, vecz = vec.z()-tz; 234 return { vecx*rxx + vecy*rxy + vecz*rxz, 234 return { vecx*rxx + vecy*rxy + vecz*rxz, 235 vecx*ryx + vecy*ryy + vecz*ryz, 235 vecx*ryx + vecy*ryy + vecz*ryz, 236 vecx*rzx + vecy*rzy + vecz*rzz }; 236 vecx*rzx + vecy*rzy + vecz*rzz }; 237 } 237 } 238 238 239 inline G4ThreeVector 239 inline G4ThreeVector 240 G4AffineTransform::TransformAxis(const G4Three 240 G4AffineTransform::TransformAxis(const G4ThreeVector& axis) const 241 { 241 { 242 G4double axisx = axis.x(), axisy = axis.y(), 242 G4double axisx = axis.x(), axisy = axis.y(), axisz = axis.z(); 243 return { axisx*rxx + axisy*ryx + axisz*rzx, 243 return { axisx*rxx + axisy*ryx + axisz*rzx, 244 axisx*rxy + axisy*ryy + axisz*rzy, 244 axisx*rxy + axisy*ryy + axisz*rzy, 245 axisx*rxz + axisy*ryz + axisz*rzz } 245 axisx*rxz + axisy*ryz + axisz*rzz }; 246 } 246 } 247 247 248 inline G4ThreeVector 248 inline G4ThreeVector 249 G4AffineTransform::InverseTransformAxis(const 249 G4AffineTransform::InverseTransformAxis(const G4ThreeVector& axis) const 250 { 250 { 251 G4double axisx = axis.x(), axisy = axis.y(), 251 G4double axisx = axis.x(), axisy = axis.y(), axisz = axis.z(); 252 return { axisx*rxx + axisy*rxy + axisz*rxz, 252 return { axisx*rxx + axisy*rxy + axisz*rxz, 253 axisx*ryx + axisy*ryy + axisz*ryz, 253 axisx*ryx + axisy*ryy + axisz*ryz, 254 axisx*rzx + axisy*rzy + axisz*rzz } 254 axisx*rzx + axisy*rzy + axisz*rzz }; 255 } 255 } 256 256 257 inline 257 inline 258 void G4AffineTransform::ApplyPointTransform(G4 258 void G4AffineTransform::ApplyPointTransform(G4ThreeVector& vec) const 259 { 259 { 260 G4double vecx = vec.x(), vecy = vec.y(), vec 260 G4double vecx = vec.x(), vecy = vec.y(), vecz = vec.z(); 261 vec.setX( vecx*rxx + vecy*ryx + vecz*rzx + t 261 vec.setX( vecx*rxx + vecy*ryx + vecz*rzx + tx ); 262 vec.setY( vecx*rxy + vecy*ryy + vecz*rzy + t 262 vec.setY( vecx*rxy + vecy*ryy + vecz*rzy + ty ); 263 vec.setZ( vecx*rxz + vecy*ryz + vecz*rzz + t 263 vec.setZ( vecx*rxz + vecy*ryz + vecz*rzz + tz ); 264 } 264 } 265 265 266 inline 266 inline 267 void G4AffineTransform::ApplyAxisTransform(G4T 267 void G4AffineTransform::ApplyAxisTransform(G4ThreeVector& axis) const 268 { 268 { 269 G4double axisx = axis.x(), axisy = axis.y(), 269 G4double axisx = axis.x(), axisy = axis.y(), axisz = axis.z(); 270 axis.setX( axisx*rxx + axisy*ryx + axisz*rzx 270 axis.setX( axisx*rxx + axisy*ryx + axisz*rzx ); 271 axis.setY( axisx*rxy + axisy*ryy + axisz*rzy 271 axis.setY( axisx*rxy + axisy*ryy + axisz*rzy ); 272 axis.setZ( axisx*rxz + axisy*ryz + axisz*rzz 272 axis.setZ( axisx*rxz + axisy*ryz + axisz*rzz ); 273 } 273 } 274 274 275 inline 275 inline 276 G4AffineTransform G4AffineTransform::Inverse() 276 G4AffineTransform G4AffineTransform::Inverse() const 277 { 277 { 278 G4double ttx = -tx, tty = -ty, ttz = -tz; 278 G4double ttx = -tx, tty = -ty, ttz = -tz; 279 return G4AffineTransform( rxx, ryx, rzx, 279 return G4AffineTransform( rxx, ryx, rzx, 280 rxy, ryy, rzy, 280 rxy, ryy, rzy, 281 rxz, ryz, rzz, 281 rxz, ryz, rzz, 282 ttx*rxx + tty*rxy 282 ttx*rxx + tty*rxy + ttz*rxz, 283 ttx*ryx + tty*ryy 283 ttx*ryx + tty*ryy + ttz*ryz, 284 ttx*rzx + tty*rzy 284 ttx*rzx + tty*rzy + ttz*rzz ); 285 } 285 } 286 286 287 inline 287 inline 288 G4AffineTransform& G4AffineTransform::Invert() 288 G4AffineTransform& G4AffineTransform::Invert() 289 { 289 { 290 G4double ttx = -tx, tty = -ty, ttz = -tz; 290 G4double ttx = -tx, tty = -ty, ttz = -tz; 291 tx = ttx*rxx + tty*rxy + ttz*rxz; 291 tx = ttx*rxx + tty*rxy + ttz*rxz; 292 ty = ttx*ryx + tty*ryy + ttz*ryz; 292 ty = ttx*ryx + tty*ryy + ttz*ryz; 293 tz = ttx*rzx + tty*rzy + ttz*rzz; 293 tz = ttx*rzx + tty*rzy + ttz*rzz; 294 294 295 G4double tmp1=ryx; ryx=rxy; rxy=tmp1; 295 G4double tmp1=ryx; ryx=rxy; rxy=tmp1; 296 G4double tmp2=rzx; rzx=rxz; rxz=tmp2; 296 G4double tmp2=rzx; rzx=rxz; rxz=tmp2; 297 G4double tmp3=rzy; rzy=ryz; ryz=tmp3; 297 G4double tmp3=rzy; rzy=ryz; ryz=tmp3; 298 298 299 return *this; 299 return *this; 300 } 300 } 301 301 302 inline 302 inline 303 G4AffineTransform& G4AffineTransform::operator 303 G4AffineTransform& G4AffineTransform::operator +=(const G4ThreeVector& tlate) 304 { 304 { 305 tx += tlate.x(); 305 tx += tlate.x(); 306 ty += tlate.y(); 306 ty += tlate.y(); 307 tz += tlate.z(); 307 tz += tlate.z(); 308 308 309 return *this; 309 return *this; 310 } 310 } 311 311 312 inline 312 inline 313 G4AffineTransform& G4AffineTransform::operator 313 G4AffineTransform& G4AffineTransform::operator -=(const G4ThreeVector& tlate) 314 { 314 { 315 tx -= tlate.x(); 315 tx -= tlate.x(); 316 ty -= tlate.y(); 316 ty -= tlate.y(); 317 tz -= tlate.z(); 317 tz -= tlate.z(); 318 318 319 return *this; 319 return *this; 320 } 320 } 321 321 322 inline 322 inline 323 G4bool G4AffineTransform::operator == (const G 323 G4bool G4AffineTransform::operator == (const G4AffineTransform& tf) const 324 { 324 { 325 return tx==tf.tx&&ty==tf.ty&&tz==tf.tz&& 325 return tx==tf.tx&&ty==tf.ty&&tz==tf.tz&& 326 rxx==tf.rxx&&rxy==tf.rxy&&rxz==tf.rxz 326 rxx==tf.rxx&&rxy==tf.rxy&&rxz==tf.rxz&& 327 ryx==tf.ryx&&ryy==tf.ryy&&ryz==tf.ryz 327 ryx==tf.ryx&&ryy==tf.ryy&&ryz==tf.ryz&& 328 rzx==tf.rzx&&rzy==tf.rzy&&rzz==tf.rzz 328 rzx==tf.rzx&&rzy==tf.rzy&&rzz==tf.rzz; 329 } 329 } 330 330 331 inline 331 inline 332 G4bool G4AffineTransform::operator != (const G 332 G4bool G4AffineTransform::operator != (const G4AffineTransform& tf) const 333 { 333 { 334 return tx!=tf.tx||ty!=tf.ty||tz!=tf.tz|| 334 return tx!=tf.tx||ty!=tf.ty||tz!=tf.tz|| 335 rxx!=tf.rxx||rxy!=tf.rxy||rxz!=tf.rxz 335 rxx!=tf.rxx||rxy!=tf.rxy||rxz!=tf.rxz|| 336 ryx!=tf.ryx||ryy!=tf.ryy||ryz!=tf.ryz 336 ryx!=tf.ryx||ryy!=tf.ryy||ryz!=tf.ryz|| 337 rzx!=tf.rzx||rzy!=tf.rzy||rzz!=tf.rzz 337 rzx!=tf.rzx||rzy!=tf.rzy||rzz!=tf.rzz; 338 } 338 } 339 339 340 inline 340 inline 341 G4double G4AffineTransform::operator [] (const 341 G4double G4AffineTransform::operator [] (const G4int n) const 342 { 342 { 343 G4double v = 0.0; 343 G4double v = 0.0; 344 switch(n) 344 switch(n) 345 { 345 { 346 case 0: 346 case 0: 347 v=rxx; 347 v=rxx; 348 break; 348 break; 349 case 1: 349 case 1: 350 v=rxy; 350 v=rxy; 351 break; 351 break; 352 case 2: 352 case 2: 353 v=rxz; 353 v=rxz; 354 break; 354 break; 355 case 4: 355 case 4: 356 v=ryx; 356 v=ryx; 357 break; 357 break; 358 case 5: 358 case 5: 359 v=ryy; 359 v=ryy; 360 break; 360 break; 361 case 6: 361 case 6: 362 v=ryz; 362 v=ryz; 363 break; 363 break; 364 case 8: 364 case 8: 365 v=rzx; 365 v=rzx; 366 break; 366 break; 367 case 9: 367 case 9: 368 v=rzy; 368 v=rzy; 369 break; 369 break; 370 case 10: 370 case 10: 371 v=rzz; 371 v=rzz; 372 break; 372 break; 373 case 12: 373 case 12: 374 v=tx; 374 v=tx; 375 break; 375 break; 376 case 13: 376 case 13: 377 v=ty; 377 v=ty; 378 break; 378 break; 379 case 14: 379 case 14: 380 v=tz; 380 v=tz; 381 break; 381 break; 382 case 3: 382 case 3: 383 case 7: 383 case 7: 384 case 11: 384 case 11: 385 break; 385 break; 386 case 15: 386 case 15: 387 v=1.0; 387 v=1.0; 388 break; 388 break; 389 } 389 } 390 return v; 390 return v; 391 } 391 } 392 392 393 inline 393 inline 394 G4bool G4AffineTransform::IsRotated() const 394 G4bool G4AffineTransform::IsRotated() const 395 { 395 { 396 return !(rxx==1.0 && ryy==1.0 && rzz==1.0); 396 return !(rxx==1.0 && ryy==1.0 && rzz==1.0); 397 } 397 } 398 398 399 inline 399 inline 400 G4bool G4AffineTransform::IsTranslated() const 400 G4bool G4AffineTransform::IsTranslated() const 401 { 401 { 402 return (tx != 0.0) || (ty != 0.0) || (tz != 402 return (tx != 0.0) || (ty != 0.0) || (tz != 0.0); 403 } 403 } 404 404 405 inline G4RotationMatrix G4AffineTransform::Net 405 inline G4RotationMatrix G4AffineTransform::NetRotation() const 406 { 406 { 407 return G4Rep3x3(rxx,rxy,rxz, 407 return G4Rep3x3(rxx,rxy,rxz, 408 ryx,ryy,ryz, 408 ryx,ryy,ryz, 409 rzx,rzy,rzz); 409 rzx,rzy,rzz); 410 } 410 } 411 411 412 inline G4RotationMatrix G4AffineTransform::Inv 412 inline G4RotationMatrix G4AffineTransform::InverseNetRotation() const 413 { 413 { 414 return G4Rep3x3(rxx,ryx,rzx, 414 return G4Rep3x3(rxx,ryx,rzx, 415 rxy,ryy,rzy, 415 rxy,ryy,rzy, 416 rxz,ryz,rzz); 416 rxz,ryz,rzz); 417 } 417 } 418 418 419 inline 419 inline 420 G4ThreeVector G4AffineTransform::NetTranslatio 420 G4ThreeVector G4AffineTransform::NetTranslation() const 421 { 421 { 422 return {tx,ty,tz}; 422 return {tx,ty,tz}; 423 } 423 } 424 424 425 inline 425 inline 426 G4ThreeVector G4AffineTransform::InverseNetTra 426 G4ThreeVector G4AffineTransform::InverseNetTranslation() const 427 { 427 { 428 G4double ttx = -tx, tty = -ty, ttz = -tz; 428 G4double ttx = -tx, tty = -ty, ttz = -tz; 429 G4double invtx = ttx*rxx + tty*rxy + ttz*rxz 429 G4double invtx = ttx*rxx + tty*rxy + ttz*rxz; 430 G4double invty = ttx*ryx + tty*ryy + ttz*ryz 430 G4double invty = ttx*ryx + tty*ryy + ttz*ryz; 431 G4double invtz = ttx*rzx + tty*rzy + ttz*rzz 431 G4double invtz = ttx*rzx + tty*rzy + ttz*rzz; 432 return {invtx,invty,invtz}; 432 return {invtx,invty,invtz}; 433 } 433 } 434 434 435 inline 435 inline 436 void G4AffineTransform::SetNetRotation(const G 436 void G4AffineTransform::SetNetRotation(const G4RotationMatrix& rot) 437 { 437 { 438 rxx=rot.xx(); 438 rxx=rot.xx(); 439 rxy=rot.xy(); 439 rxy=rot.xy(); 440 rxz=rot.xz(); 440 rxz=rot.xz(); 441 ryx=rot.yx(); 441 ryx=rot.yx(); 442 ryy=rot.yy(); 442 ryy=rot.yy(); 443 ryz=rot.yz(); 443 ryz=rot.yz(); 444 rzx=rot.zx(); 444 rzx=rot.zx(); 445 rzy=rot.zy(); 445 rzy=rot.zy(); 446 rzz=rot.zz(); 446 rzz=rot.zz(); 447 } 447 } 448 448 449 inline 449 inline 450 void G4AffineTransform::SetNetTranslation(cons 450 void G4AffineTransform::SetNetTranslation(const G4ThreeVector& tlate) 451 { 451 { 452 tx=tlate.x(); 452 tx=tlate.x(); 453 ty=tlate.y(); 453 ty=tlate.y(); 454 tz=tlate.z(); 454 tz=tlate.z(); 455 } 455 } 456 456 457 inline 457 inline 458 G4AffineTransform::operator G4Transform3D () c 458 G4AffineTransform::operator G4Transform3D () const 459 { 459 { 460 return G4Transform3D(NetRotation().inverse() 460 return G4Transform3D(NetRotation().inverse(),NetTranslation()); 461 } 461 } 462 462 463 inline 463 inline 464 std::ostream& operator << (std::ostream& os, c 464 std::ostream& operator << (std::ostream& os, const G4AffineTransform& transf) 465 { 465 { 466 std::streamsize oldPrec = os.precision(6); 466 std::streamsize oldPrec = os.precision(6); 467 G4double DeviationTolerance = 1.0e-05; 467 G4double DeviationTolerance = 1.0e-05; 468 468 469 G4double diagDeviation = 0.0; 469 G4double diagDeviation = 0.0; 470 G4double offdDeviationUL = 0.0; 470 G4double offdDeviationUL = 0.0; 471 G4double offdDeviationDR = 0.0; 471 G4double offdDeviationDR = 0.0; 472 G4double offdDeviation = 0.0; 472 G4double offdDeviation = 0.0; 473 473 474 os << " Transformation: " << G4endl; 474 os << " Transformation: " << G4endl; 475 475 476 // double a = std::max ( 1, 2, 3 ) ; 476 // double a = std::max ( 1, 2, 3 ) ; 477 477 478 G4bool UnitTr = ! transf.IsRotated(); 478 G4bool UnitTr = ! transf.IsRotated(); 479 diagDeviation = std::max( std::fabs( transf[ 479 diagDeviation = std::max( std::fabs( transf[0] - 1.0 ) , // |rxx - 1| 480 std::fabs( transf[ 480 std::fabs( transf[5] - 1.0 ) ); // |ryy - 1| 481 diagDeviation = std::max( diagDeviation, 481 diagDeviation = std::max( diagDeviation, 482 std::fabs( transf[ 482 std::fabs( transf[10] - 1.0 ) ); // |rzz - 1| 483 483 484 offdDeviationUL = std::max( std::fabs( trans 484 offdDeviationUL = std::max( std::fabs( transf[1] ) , // |rxy| 485 std::fabs( trans 485 std::fabs( transf[2] ) ); // |rxz| 486 offdDeviationUL = std::max( offdDeviationUL, 486 offdDeviationUL = std::max( offdDeviationUL, 487 std::fabs( trans 487 std::fabs( transf[4] ) ); // |ryx| 488 488 489 offdDeviationDR = std::max( std::fabs( trans 489 offdDeviationDR = std::max( std::fabs( transf[6] ) , // |ryz| 490 std::fabs( trans 490 std::fabs( transf[8] ) ); // |rzx| 491 offdDeviationDR = std::max( offdDeviationDR, 491 offdDeviationDR = std::max( offdDeviationDR, 492 std::fabs( trans 492 std::fabs( transf[9] ) ); // |rzy| 493 offdDeviation = std::max( offdDeviationUL, o 493 offdDeviation = std::max( offdDeviationUL, offdDeviationDR ); 494 494 495 if( UnitTr || std::max(diagDeviation, offdDe 495 if( UnitTr || std::max(diagDeviation, offdDeviation) < DeviationTolerance ) 496 { 496 { 497 os << " UNIT Rotation " << G4endl; 497 os << " UNIT Rotation " << G4endl; 498 } 498 } 499 else 499 else 500 { 500 { 501 os << "rx/x,y,z: " 501 os << "rx/x,y,z: " 502 << transf[0] << " " << transf[1] << " 502 << transf[0] << " " << transf[1] << " " << transf[2] << G4endl 503 << "ry/x,y,z: " 503 << "ry/x,y,z: " 504 << transf[4] << " " << transf[5] << " 504 << transf[4] << " " << transf[5] << " " << transf[6] << G4endl 505 << "rz/x,y,z: " 505 << "rz/x,y,z: " 506 << transf[8] << " " << transf[9] << " 506 << transf[8] << " " << transf[9] << " " << transf[10] << G4endl; 507 } 507 } 508 508 509 os << "tr/x,y,z: " << transf[12] << " " << 509 os << "tr/x,y,z: " << transf[12] << " " << transf[13] << " " << transf[14] 510 << G4endl; 510 << G4endl; 511 511 512 os.precision(oldPrec); 512 os.precision(oldPrec); 513 513 514 return os; 514 return os; 515 } 515 } 516 516