| Geant4 Cross Reference |
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25 // 25 //
>> 26 //
>> 27 // $Id$
>> 28 //
>> 29 //
26 // G4AffineTransformation Inline implementatio 30 // G4AffineTransformation Inline implementation
27 // 31 //
28 // ------------------------------------------- 32 // --------------------------------------------------------------------
29 33
30 inline G4AffineTransform::G4AffineTransform() 34 inline G4AffineTransform::G4AffineTransform()
31 : rxx(1),rxy(0),rxz(0), 35 : rxx(1),rxy(0),rxz(0),
32 ryx(0),ryy(1),ryz(0), 36 ryx(0),ryy(1),ryz(0),
33 rzx(0),rzy(0),rzz(1), 37 rzx(0),rzy(0),rzz(1),
34 tx(0),ty(0),tz(0) 38 tx(0),ty(0),tz(0)
35 {} 39 {}
36 40
37 inline G4AffineTransform::G4AffineTransform(co 41 inline G4AffineTransform::G4AffineTransform(const G4ThreeVector& tlate)
38 : rxx(1),rxy(0),rxz(0), 42 : rxx(1),rxy(0),rxz(0),
39 ryx(0),ryy(1),ryz(0), 43 ryx(0),ryy(1),ryz(0),
40 rzx(0),rzy(0),rzz(1), 44 rzx(0),rzy(0),rzz(1),
41 tx(tlate.x()),ty(tlate.y()),tz(tlate.z()) 45 tx(tlate.x()),ty(tlate.y()),tz(tlate.z())
42 {} 46 {}
43 47
44 inline G4AffineTransform::G4AffineTransform(co 48 inline G4AffineTransform::G4AffineTransform(const G4RotationMatrix& rot)
45 : rxx(rot.xx()),rxy(rot.xy()),rxz(rot.xz()), 49 : rxx(rot.xx()),rxy(rot.xy()),rxz(rot.xz()),
46 ryx(rot.yx()),ryy(rot.yy()),ryz(rot.yz()), 50 ryx(rot.yx()),ryy(rot.yy()),ryz(rot.yz()),
47 rzx(rot.zx()),rzy(rot.zy()),rzz(rot.zz()), 51 rzx(rot.zx()),rzy(rot.zy()),rzz(rot.zz()),
48 tx(0),ty(0),tz(0) 52 tx(0),ty(0),tz(0)
49 {} 53 {}
50 54
51 inline G4AffineTransform::G4AffineTransform( c 55 inline G4AffineTransform::G4AffineTransform( const G4RotationMatrix& rot,
52 c << 56 const G4ThreeVector& tlate )
53 : rxx(rot.xx()),rxy(rot.xy()),rxz(rot.xz()), 57 : rxx(rot.xx()),rxy(rot.xy()),rxz(rot.xz()),
54 ryx(rot.yx()),ryy(rot.yy()),ryz(rot.yz()), 58 ryx(rot.yx()),ryy(rot.yy()),ryz(rot.yz()),
55 rzx(rot.zx()),rzy(rot.zy()),rzz(rot.zz()), 59 rzx(rot.zx()),rzy(rot.zy()),rzz(rot.zz()),
56 tx(tlate.x()),ty(tlate.y()),tz(tlate.z()) 60 tx(tlate.x()),ty(tlate.y()),tz(tlate.z())
57 {} 61 {}
58 62
59 inline G4AffineTransform::G4AffineTransform( c 63 inline G4AffineTransform::G4AffineTransform( const G4RotationMatrix* rot,
60 c << 64 const G4ThreeVector& tlate)
61 : tx(tlate.x()),ty(tlate.y()),tz(tlate.z()) 65 : tx(tlate.x()),ty(tlate.y()),tz(tlate.z())
62 { 66 {
63 if (rot != nullptr) << 67 if (rot)
64 { << 68 {
65 rxx=rot->xx();rxy=rot->xy();rxz=rot->xz(); << 69 rxx=rot->xx();rxy=rot->xy();rxz=rot->xz();
66 ryx=rot->yx();ryy=rot->yy();ryz=rot->yz(); << 70 ryx=rot->yx();ryy=rot->yy();ryz=rot->yz();
67 rzx=rot->zx();rzy=rot->zy();rzz=rot->zz(); << 71 rzx=rot->zx();rzy=rot->zy();rzz=rot->zz();
68 } << 72 }
69 else 73 else
70 { << 74 {
71 rxx=1; rxy=0; rxz=0; << 75 rxx=1; rxy=0; rxz=0;
72 ryx=0; ryy=1; ryz=0; << 76 ryx=0; ryy=1; ryz=0;
73 rzx=0; rzy=0; rzz=1; << 77 rzx=0; rzy=0; rzz=1;
74 } << 78 }
75 } 79 }
76 80
77 inline << 81 inline
78 G4AffineTransform:: 82 G4AffineTransform::
79 G4AffineTransform( const G4double prxx,const G 83 G4AffineTransform( const G4double prxx,const G4double prxy,const G4double prxz,
80 const G4double pryx,const G 84 const G4double pryx,const G4double pryy,const G4double pryz,
81 const G4double przx,const G 85 const G4double przx,const G4double przy,const G4double przz,
82 const G4double ptx,const G4 << 86 const G4double ptx,const G4double pty,const G4double ptz)
83 : rxx(prxx),rxy(prxy),rxz(prxz), 87 : rxx(prxx),rxy(prxy),rxz(prxz),
84 ryx(pryx),ryy(pryy),ryz(pryz), 88 ryx(pryx),ryy(pryy),ryz(pryz),
85 rzx(przx),rzy(przy),rzz(przz), 89 rzx(przx),rzy(przy),rzz(przz),
86 tx(ptx),ty(pty),tz(ptz) 90 tx(ptx),ty(pty),tz(ptz)
87 {} 91 {}
88 92
89 inline G4AffineTransform& <<
90 G4AffineTransform::operator = (const G4AffineT <<
91 { <<
92 if (this == &rhs) { return *this; } <<
93 rxx = rhs.rxx; rxy = rhs.rxy; rxz = rhs.rxz; <<
94 ryx = rhs.ryx; ryy = rhs.ryy; ryz = rhs.ryz; <<
95 rzx = rhs.rzx; rzy = rhs.rzy; rzz = rhs.rzz; <<
96 tx = rhs.tx; ty = rhs.ty; tz = rhs.tz; <<
97 return *this; <<
98 } <<
99 <<
100 inline G4AffineTransform 93 inline G4AffineTransform
101 G4AffineTransform::operator * (const G4AffineT 94 G4AffineTransform::operator * (const G4AffineTransform& tf) const
102 { 95 {
103 return G4AffineTransform(rxx*tf.rxx+rxy*tf.r << 96 return G4AffineTransform(
104 rxx*tf.rxy+rxy*tf.r << 97 rxx*tf.rxx+rxy*tf.ryx+rxz*tf.rzx,
105 rxx*tf.rxz+rxy*tf.r << 98 rxx*tf.rxy+rxy*tf.ryy+rxz*tf.rzy,
106 << 99 rxx*tf.rxz+rxy*tf.ryz+rxz*tf.rzz,
107 ryx*tf.rxx+ryy*tf.r << 100
108 ryx*tf.rxy+ryy*tf.r << 101 ryx*tf.rxx+ryy*tf.ryx+ryz*tf.rzx,
109 ryx*tf.rxz+ryy*tf.r << 102 ryx*tf.rxy+ryy*tf.ryy+ryz*tf.rzy,
110 << 103 ryx*tf.rxz+ryy*tf.ryz+ryz*tf.rzz,
111 rzx*tf.rxx+rzy*tf.r << 104
112 rzx*tf.rxy+rzy*tf.r << 105 rzx*tf.rxx+rzy*tf.ryx+rzz*tf.rzx,
113 rzx*tf.rxz+rzy*tf.r << 106 rzx*tf.rxy+rzy*tf.ryy+rzz*tf.rzy,
114 << 107 rzx*tf.rxz+rzy*tf.ryz+rzz*tf.rzz,
115 tx*tf.rxx+ty*tf.ryx << 108
116 tx*tf.rxy+ty*tf.ryy << 109 tx*tf.rxx+ty*tf.ryx+tz*tf.rzx+tf.tx,
117 tx*tf.rxz+ty*tf.ryz << 110 tx*tf.rxy+ty*tf.ryy+tz*tf.rzy+tf.ty,
>> 111 tx*tf.rxz+ty*tf.ryz+tz*tf.rzz+tf.tz);
118 } 112 }
119 113
120 inline G4AffineTransform& 114 inline G4AffineTransform&
121 G4AffineTransform::operator *= (const G4Affine 115 G4AffineTransform::operator *= (const G4AffineTransform& tf)
122 { 116 {
123 // Use temporaries for `in place' compound t << 117 // Use temporaries for `in place' compound transform computation
124 // << 118
125 G4double nrxx=rxx*tf.rxx+rxy*tf.ryx+rxz*tf.r << 119 G4double nrxx=rxx*tf.rxx+rxy*tf.ryx+rxz*tf.rzx;
126 G4double nrxy=rxx*tf.rxy+rxy*tf.ryy+rxz*tf.r << 120 G4double nrxy=rxx*tf.rxy+rxy*tf.ryy+rxz*tf.rzy;
127 G4double nrxz=rxx*tf.rxz+rxy*tf.ryz+rxz*tf.r << 121 G4double nrxz=rxx*tf.rxz+rxy*tf.ryz+rxz*tf.rzz;
128 << 122
129 G4double nryx=ryx*tf.rxx+ryy*tf.ryx+ryz*tf.r << 123 G4double nryx=ryx*tf.rxx+ryy*tf.ryx+ryz*tf.rzx;
130 G4double nryy=ryx*tf.rxy+ryy*tf.ryy+ryz*tf.r << 124 G4double nryy=ryx*tf.rxy+ryy*tf.ryy+ryz*tf.rzy;
131 G4double nryz=ryx*tf.rxz+ryy*tf.ryz+ryz*tf.r << 125 G4double nryz=ryx*tf.rxz+ryy*tf.ryz+ryz*tf.rzz;
132 << 126
133 G4double nrzx=rzx*tf.rxx+rzy*tf.ryx+rzz*tf.r << 127 G4double nrzx=rzx*tf.rxx+rzy*tf.ryx+rzz*tf.rzx;
134 G4double nrzy=rzx*tf.rxy+rzy*tf.ryy+rzz*tf.r << 128 G4double nrzy=rzx*tf.rxy+rzy*tf.ryy+rzz*tf.rzy;
135 G4double nrzz=rzx*tf.rxz+rzy*tf.ryz+rzz*tf.r << 129 G4double nrzz=rzx*tf.rxz+rzy*tf.ryz+rzz*tf.rzz;
136 130
137 G4double ntx=tx*tf.rxx+ty*tf.ryx+tz*tf.rzx+t << 131 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 << 132 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 << 133 G4double ntz=tx*tf.rxz+ty*tf.ryz+tz*tf.rzz+tf.tz;
140 << 134
141 tx=ntx; ty=nty; tz=ntz; << 135 tx=ntx; ty=nty; tz=ntz;
142 rxx=nrxx; rxy=nrxy; rxz=nrxz; << 136 rxx=nrxx; rxy=nrxy; rxz=nrxz;
143 ryx=nryx; ryy=nryy; ryz=nryz; << 137 ryx=nryx; ryy=nryy; ryz=nryz;
144 rzx=nrzx; rzy=nrzy; rzz=nrzz; << 138 rzx=nrzx; rzy=nrzy; rzz=nrzz;
145 139
146 return *this; << 140 return *this;
147 } 141 }
148 142
149 inline G4AffineTransform& 143 inline G4AffineTransform&
150 G4AffineTransform::Product( const G4AffineTran << 144 G4AffineTransform::Product(const G4AffineTransform& tf1,
151 const G4AffineTran << 145 const G4AffineTransform& tf2)
152 { 146 {
153 rxx = tf1.rxx*tf2.rxx + tf1.rxy*tf2.ryx + tf << 147 rxx=tf1.rxx*tf2.rxx + tf1.rxy*tf2.ryx + tf1.rxz*tf2.rzx;
154 rxy = tf1.rxx*tf2.rxy + tf1.rxy*tf2.ryy + tf << 148 rxy=tf1.rxx*tf2.rxy + tf1.rxy*tf2.ryy + tf1.rxz*tf2.rzy;
155 rxz = tf1.rxx*tf2.rxz + tf1.rxy*tf2.ryz + tf << 149 rxz=tf1.rxx*tf2.rxz + tf1.rxy*tf2.ryz + tf1.rxz*tf2.rzz;
156 << 150
157 ryx = tf1.ryx*tf2.rxx + tf1.ryy*tf2.ryx + tf << 151 ryx=tf1.ryx*tf2.rxx + tf1.ryy*tf2.ryx + tf1.ryz*tf2.rzx;
158 ryy = tf1.ryx*tf2.rxy + tf1.ryy*tf2.ryy + tf << 152 ryy=tf1.ryx*tf2.rxy + tf1.ryy*tf2.ryy + tf1.ryz*tf2.rzy;
159 ryz = tf1.ryx*tf2.rxz + tf1.ryy*tf2.ryz + tf << 153 ryz=tf1.ryx*tf2.rxz + tf1.ryy*tf2.ryz + tf1.ryz*tf2.rzz;
160 << 154
161 rzx = tf1.rzx*tf2.rxx + tf1.rzy*tf2.ryx + tf << 155 rzx=tf1.rzx*tf2.rxx + tf1.rzy*tf2.ryx + tf1.rzz*tf2.rzx;
162 rzy = tf1.rzx*tf2.rxy + tf1.rzy*tf2.ryy + tf << 156 rzy=tf1.rzx*tf2.rxy + tf1.rzy*tf2.ryy + tf1.rzz*tf2.rzy;
163 rzz = tf1.rzx*tf2.rxz + tf1.rzy*tf2.ryz + tf << 157 rzz=tf1.rzx*tf2.rxz + tf1.rzy*tf2.ryz + tf1.rzz*tf2.rzz;
164 << 158
165 tx = tf1.tx*tf2.rxx + tf1.ty*tf2.ryx + tf1.t << 159 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 << 160 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 << 161 tz=tf1.tx*tf2.rxz + tf1.ty*tf2.ryz + tf1.tz*tf2.rzz + tf2.tz;
168 << 162
169 return *this; << 163 return *this;
170 } 164 }
171 165
172 inline G4AffineTransform& 166 inline G4AffineTransform&
173 G4AffineTransform::InverseProduct( const G4Aff 167 G4AffineTransform::InverseProduct( const G4AffineTransform& tf1,
174 const G4Aff << 168 const G4AffineTransform& tf2)
175 { <<
176 if ((tf2.rxx + tf2.ryy + tf2.rzz) == 3.) <<
177 { <<
178 rxx = tf1.rxx; <<
179 rxy = tf1.rxy; <<
180 rxz = tf1.rxz; <<
181 <<
182 ryx = tf1.ryx; <<
183 ryy = tf1.ryy; <<
184 ryz = tf1.ryz; <<
185 <<
186 rzx = tf1.rzx; <<
187 rzy = tf1.rzy; <<
188 rzz = tf1.rzz; <<
189 <<
190 tx = tf1.tx - tf2.tx; <<
191 ty = tf1.ty - tf2.ty; <<
192 tz = tf1.tz - tf2.tz; <<
193 } <<
194 else <<
195 { <<
196 G4double tf1rxx = tf1.rxx, tf1rxy = tf1.rx <<
197 rxx = tf1rxx*tf2.rxx + tf1rxy*tf2.rxy + tf <<
198 rxy = tf1rxx*tf2.ryx + tf1rxy*tf2.ryy + tf <<
199 rxz = tf1rxx*tf2.rzx + tf1rxy*tf2.rzy + tf <<
200 <<
201 G4double tf1ryx = tf1.ryx, tf1ryy = tf1.ry <<
202 ryx = tf1ryx*tf2.rxx + tf1ryy*tf2.rxy + tf <<
203 ryy = tf1ryx*tf2.ryx + tf1ryy*tf2.ryy + tf <<
204 ryz = tf1ryx*tf2.rzx + tf1ryy*tf2.rzy + tf <<
205 <<
206 G4double tf1rzx = tf1.rzx, tf1rzy = tf1.rz <<
207 rzx = tf1rzx*tf2.rxx + tf1rzy*tf2.rxy + tf <<
208 rzy = tf1rzx*tf2.ryx + tf1rzy*tf2.ryy + tf <<
209 rzz = tf1rzx*tf2.rzx + tf1rzy*tf2.rzy + tf <<
210 <<
211 G4double tf1_2tx = tf1.tx - tf2.tx; <<
212 G4double tf1_2ty = tf1.ty - tf2.ty; <<
213 G4double tf1_2tz = tf1.tz - tf2.tz; <<
214 tx = tf1_2tx*tf2.rxx + tf1_2ty*tf2.rxy + t <<
215 ty = tf1_2tx*tf2.ryx + tf1_2ty*tf2.ryy + t <<
216 tz = tf1_2tx*tf2.rzx + tf1_2ty*tf2.rzy + t <<
217 } <<
218 return *this; <<
219 } <<
220 <<
221 inline G4ThreeVector <<
222 G4AffineTransform::TransformPoint(const G4Thre <<
223 { 169 {
224 G4double vecx = vec.x(), vecy = vec.y(), vec << 170 G4double itf2tx = - tf2.tx*tf2.rxx - tf2.ty*tf2.rxy - tf2.tz*tf2.rxz;
225 return { vecx*rxx + vecy*ryx + vecz*rzx + tx << 171 G4double itf2ty = - tf2.tx*tf2.ryx - tf2.ty*tf2.ryy - tf2.tz*tf2.ryz;
226 vecx*rxy + vecy*ryy + vecz*rzy + ty << 172 G4double itf2tz = - tf2.tx*tf2.rzx - tf2.ty*tf2.rzy - tf2.tz*tf2.rzz;
227 vecx*rxz + vecy*ryz + vecz*rzz + tz << 173
228 } << 174 rxx=tf1.rxx*tf2.rxx+tf1.rxy*tf2.rxy+tf1.rxz*tf2.rxz;
>> 175 rxy=tf1.rxx*tf2.ryx+tf1.rxy*tf2.ryy+tf1.rxz*tf2.ryz;
>> 176 rxz=tf1.rxx*tf2.rzx+tf1.rxy*tf2.rzy+tf1.rxz*tf2.rzz;
>> 177
>> 178 ryx=tf1.ryx*tf2.rxx+tf1.ryy*tf2.rxy+tf1.ryz*tf2.rxz;
>> 179 ryy=tf1.ryx*tf2.ryx+tf1.ryy*tf2.ryy+tf1.ryz*tf2.ryz;
>> 180 ryz=tf1.ryx*tf2.rzx+tf1.ryy*tf2.rzy+tf1.ryz*tf2.rzz;
>> 181
>> 182 rzx=tf1.rzx*tf2.rxx+tf1.rzy*tf2.rxy+tf1.rzz*tf2.rxz;
>> 183 rzy=tf1.rzx*tf2.ryx+tf1.rzy*tf2.ryy+tf1.rzz*tf2.ryz;
>> 184 rzz=tf1.rzx*tf2.rzx+tf1.rzy*tf2.rzy+tf1.rzz*tf2.rzz;
>> 185
>> 186 tx=tf1.tx*tf2.rxx+tf1.ty*tf2.rxy+tf1.tz*tf2.rxz+itf2tx;
>> 187 ty=tf1.tx*tf2.ryx+tf1.ty*tf2.ryy+tf1.tz*tf2.ryz+itf2ty;
>> 188 tz=tf1.tx*tf2.rzx+tf1.ty*tf2.rzy+tf1.tz*tf2.rzz+itf2tz;
229 189
230 inline G4ThreeVector << 190 return *this;
231 G4AffineTransform::InverseTransformPoint(const <<
232 { <<
233 G4double vecx = vec.x()-tx, vecy = vec.y()-t <<
234 return { vecx*rxx + vecy*rxy + vecz*rxz, <<
235 vecx*ryx + vecy*ryy + vecz*ryz, <<
236 vecx*rzx + vecy*rzy + vecz*rzz }; <<
237 } 191 }
238 192
239 inline G4ThreeVector << 193 inline
240 G4AffineTransform::TransformAxis(const G4Three << 194 G4ThreeVector G4AffineTransform::TransformPoint(const G4ThreeVector& vec) const
241 { 195 {
242 G4double axisx = axis.x(), axisy = axis.y(), << 196 return G4ThreeVector( vec.x()*rxx + vec.y()*ryx + vec.z()*rzx + tx,
243 return { axisx*rxx + axisy*ryx + axisz*rzx, << 197 vec.x()*rxy + vec.y()*ryy + vec.z()*rzy + ty,
244 axisx*rxy + axisy*ryy + axisz*rzy, << 198 vec.x()*rxz + vec.y()*ryz + vec.z()*rzz + tz );
245 axisx*rxz + axisy*ryz + axisz*rzz } <<
246 } 199 }
247 200
248 inline G4ThreeVector << 201 inline
249 G4AffineTransform::InverseTransformAxis(const << 202 G4ThreeVector G4AffineTransform::TransformAxis(const G4ThreeVector& axis) const
250 { 203 {
251 G4double axisx = axis.x(), axisy = axis.y(), << 204 return G4ThreeVector( axis.x()*rxx + axis.y()*ryx + axis.z()*rzx,
252 return { axisx*rxx + axisy*rxy + axisz*rxz, << 205 axis.x()*rxy + axis.y()*ryy + axis.z()*rzy,
253 axisx*ryx + axisy*ryy + axisz*ryz, << 206 axis.x()*rxz + axis.y()*ryz + axis.z()*rzz );
254 axisx*rzx + axisy*rzy + axisz*rzz } <<
255 } 207 }
256 208
257 inline 209 inline
258 void G4AffineTransform::ApplyPointTransform(G4 210 void G4AffineTransform::ApplyPointTransform(G4ThreeVector& vec) const
259 { 211 {
260 G4double vecx = vec.x(), vecy = vec.y(), vec << 212 G4double x = vec.x()*rxx + vec.y()*ryx + vec.z()*rzx + tx;
261 vec.setX( vecx*rxx + vecy*ryx + vecz*rzx + t << 213 G4double y = vec.x()*rxy + vec.y()*ryy + vec.z()*rzy + ty;
262 vec.setY( vecx*rxy + vecy*ryy + vecz*rzy + t << 214 G4double z = vec.x()*rxz + vec.y()*ryz + vec.z()*rzz + tz;
263 vec.setZ( vecx*rxz + vecy*ryz + vecz*rzz + t << 215
>> 216 vec.setX(x);
>> 217 vec.setY(y);
>> 218 vec.setZ(z);
264 } 219 }
265 220
266 inline 221 inline
267 void G4AffineTransform::ApplyAxisTransform(G4T 222 void G4AffineTransform::ApplyAxisTransform(G4ThreeVector& axis) const
268 { 223 {
269 G4double axisx = axis.x(), axisy = axis.y(), << 224 G4double x = axis.x()*rxx + axis.y()*ryx + axis.z()*rzx;
270 axis.setX( axisx*rxx + axisy*ryx + axisz*rzx << 225 G4double y = axis.x()*rxy + axis.y()*ryy + axis.z()*rzy;
271 axis.setY( axisx*rxy + axisy*ryy + axisz*rzy << 226 G4double z = axis.x()*rxz + axis.y()*ryz + axis.z()*rzz;
272 axis.setZ( axisx*rxz + axisy*ryz + axisz*rzz << 227
>> 228 axis.setX(x);
>> 229 axis.setY(y);
>> 230 axis.setZ(z);
273 } 231 }
274 232
275 inline 233 inline
276 G4AffineTransform G4AffineTransform::Inverse() 234 G4AffineTransform G4AffineTransform::Inverse() const
277 { 235 {
278 G4double ttx = -tx, tty = -ty, ttz = -tz; << 236 return G4AffineTransform( rxx, ryx, rzx,
279 return G4AffineTransform( rxx, ryx, rzx, << 237 rxy, ryy, rzy,
280 rxy, ryy, rzy, << 238 rxz, ryz, rzz,
281 rxz, ryz, rzz, << 239
282 ttx*rxx + tty*rxy << 240 -tx*rxx - ty*rxy - tz*rxz,
283 ttx*ryx + tty*ryy << 241 -tx*ryx - ty*ryy - tz*ryz,
284 ttx*rzx + tty*rzy << 242 -tx*rzx - ty*rzy - tz*rzz );
285 } 243 }
286 244
287 inline 245 inline
288 G4AffineTransform& G4AffineTransform::Invert() 246 G4AffineTransform& G4AffineTransform::Invert()
289 { 247 {
290 G4double ttx = -tx, tty = -ty, ttz = -tz; << 248 G4double v1 = -tx*rxx - ty*rxy - tz*rxz;
291 tx = ttx*rxx + tty*rxy + ttz*rxz; << 249 G4double v2 = -tx*ryx - ty*ryy - tz*ryz;
292 ty = ttx*ryx + tty*ryy + ttz*ryz; << 250 G4double v3 = -tx*rzx - ty*rzy - tz*rzz;
293 tz = ttx*rzx + tty*rzy + ttz*rzz; << 251
294 << 252 tx=v1; ty=v2; tz=v3;
295 G4double tmp1=ryx; ryx=rxy; rxy=tmp1; << 253
296 G4double tmp2=rzx; rzx=rxz; rxz=tmp2; << 254 G4double tmp1=ryx; ryx=rxy; rxy=tmp1;
297 G4double tmp3=rzy; rzy=ryz; ryz=tmp3; << 255 G4double tmp2=rzx; rzx=rxz; rxz=tmp2;
>> 256 G4double tmp3=rzy; rzy=ryz; ryz=tmp3;
>> 257
>> 258 return *this;
298 259
299 return *this; <<
300 } 260 }
301 261
302 inline 262 inline
303 G4AffineTransform& G4AffineTransform::operator 263 G4AffineTransform& G4AffineTransform::operator +=(const G4ThreeVector& tlate)
304 { 264 {
305 tx += tlate.x(); << 265 tx += tlate.x();
306 ty += tlate.y(); << 266 ty += tlate.y();
307 tz += tlate.z(); << 267 tz += tlate.z();
308 268
309 return *this; << 269 return *this;
310 } 270 }
311 271
312 inline 272 inline
313 G4AffineTransform& G4AffineTransform::operator 273 G4AffineTransform& G4AffineTransform::operator -=(const G4ThreeVector& tlate)
314 { 274 {
315 tx -= tlate.x(); << 275 tx -= tlate.x();
316 ty -= tlate.y(); << 276 ty -= tlate.y();
317 tz -= tlate.z(); << 277 tz -= tlate.z();
318 278
319 return *this; << 279 return *this;
320 } 280 }
321 281
322 inline 282 inline
323 G4bool G4AffineTransform::operator == (const G 283 G4bool G4AffineTransform::operator == (const G4AffineTransform& tf) const
324 { 284 {
325 return tx==tf.tx&&ty==tf.ty&&tz==tf.tz&& << 285 return (tx==tf.tx&&ty==tf.ty&&tz==tf.tz&&
326 rxx==tf.rxx&&rxy==tf.rxy&&rxz==tf.rxz << 286 rxx==tf.rxx&&rxy==tf.rxy&&rxz==tf.rxz&&
327 ryx==tf.ryx&&ryy==tf.ryy&&ryz==tf.ryz << 287 ryx==tf.ryx&&ryy==tf.ryy&&ryz==tf.ryz&&
328 rzx==tf.rzx&&rzy==tf.rzy&&rzz==tf.rzz << 288 rzx==tf.rzx&&rzy==tf.rzy&&rzz==tf.rzz) ? true : false;
329 } 289 }
330 <<
331 inline 290 inline
332 G4bool G4AffineTransform::operator != (const G 291 G4bool G4AffineTransform::operator != (const G4AffineTransform& tf) const
333 { 292 {
334 return tx!=tf.tx||ty!=tf.ty||tz!=tf.tz|| << 293 return (tx!=tf.tx||ty!=tf.ty||tz!=tf.tz||
335 rxx!=tf.rxx||rxy!=tf.rxy||rxz!=tf.rxz << 294 rxx!=tf.rxx||rxy!=tf.rxy||rxz!=tf.rxz||
336 ryx!=tf.ryx||ryy!=tf.ryy||ryz!=tf.ryz << 295 ryx!=tf.ryx||ryy!=tf.ryy||ryz!=tf.ryz||
337 rzx!=tf.rzx||rzy!=tf.rzy||rzz!=tf.rzz << 296 rzx!=tf.rzx||rzy!=tf.rzy||rzz!=tf.rzz) ? true : false;
338 } 297 }
339 298
340 inline 299 inline
341 G4double G4AffineTransform::operator [] (const 300 G4double G4AffineTransform::operator [] (const G4int n) const
342 { 301 {
343 G4double v = 0.0; << 302 G4double v = 0.0;
344 switch(n) << 303 switch(n)
345 { << 304 {
346 case 0: << 305 case 0:
347 v=rxx; << 306 v=rxx;
348 break; << 307 break;
349 case 1: << 308 case 1:
350 v=rxy; << 309 v=rxy;
351 break; << 310 break;
352 case 2: << 311 case 2:
353 v=rxz; << 312 v=rxz;
354 break; << 313 break;
355 case 4: << 314 case 4:
356 v=ryx; << 315 v=ryx;
357 break; << 316 break;
358 case 5: << 317 case 5:
359 v=ryy; << 318 v=ryy;
360 break; << 319 break;
361 case 6: << 320 case 6:
362 v=ryz; << 321 v=ryz;
363 break; << 322 break;
364 case 8: << 323 case 8:
365 v=rzx; << 324 v=rzx;
366 break; << 325 break;
367 case 9: << 326 case 9:
368 v=rzy; << 327 v=rzy;
369 break; << 328 break;
370 case 10: << 329 case 10:
371 v=rzz; << 330 v=rzz;
372 break; << 331 break;
373 case 12: << 332 case 12:
374 v=tx; << 333 v=tx;
375 break; << 334 break;
376 case 13: << 335 case 13:
377 v=ty; << 336 v=ty;
378 break; << 337 break;
379 case 14: << 338 case 14:
380 v=tz; << 339 v=tz;
381 break; << 340 break;
382 case 3: << 341 case 3:
383 case 7: << 342 case 7:
384 case 11: << 343 case 11:
385 break; << 344 break;
386 case 15: << 345 case 15:
387 v=1.0; << 346 v=1.0;
388 break; << 347 break;
389 } << 348 }
390 return v; << 349 return v;
391 } 350 }
392 351
393 inline 352 inline
394 G4bool G4AffineTransform::IsRotated() const 353 G4bool G4AffineTransform::IsRotated() const
395 { 354 {
396 return !(rxx==1.0 && ryy==1.0 && rzz==1.0); << 355 return (rxx==1.0 && ryy==1.0 && rzz==1.0) ? false : true;
397 } 356 }
398 357
399 inline 358 inline
400 G4bool G4AffineTransform::IsTranslated() const 359 G4bool G4AffineTransform::IsTranslated() const
401 { 360 {
402 return (tx != 0.0) || (ty != 0.0) || (tz != << 361 return (tx || ty || tz) ? true:false;
403 } 362 }
404 363
405 inline G4RotationMatrix G4AffineTransform::Net 364 inline G4RotationMatrix G4AffineTransform::NetRotation() const
406 { 365 {
407 return G4Rep3x3(rxx,rxy,rxz, << 366 return G4Rep3x3(rxx,rxy,rxz,
408 ryx,ryy,ryz, << 367 ryx,ryy,ryz,
409 rzx,rzy,rzz); << 368 rzx,rzy,rzz);
410 } <<
411 <<
412 inline G4RotationMatrix G4AffineTransform::Inv <<
413 { <<
414 return G4Rep3x3(rxx,ryx,rzx, <<
415 rxy,ryy,rzy, <<
416 rxz,ryz,rzz); <<
417 } 369 }
418 370
419 inline 371 inline
420 G4ThreeVector G4AffineTransform::NetTranslatio 372 G4ThreeVector G4AffineTransform::NetTranslation() const
421 { 373 {
422 return {tx,ty,tz}; << 374 return G4ThreeVector(tx,ty,tz);
423 } <<
424 <<
425 inline <<
426 G4ThreeVector G4AffineTransform::InverseNetTra <<
427 { <<
428 G4double ttx = -tx, tty = -ty, ttz = -tz; <<
429 G4double invtx = ttx*rxx + tty*rxy + ttz*rxz <<
430 G4double invty = ttx*ryx + tty*ryy + ttz*ryz <<
431 G4double invtz = ttx*rzx + tty*rzy + ttz*rzz <<
432 return {invtx,invty,invtz}; <<
433 } 375 }
434 376
435 inline 377 inline
436 void G4AffineTransform::SetNetRotation(const G 378 void G4AffineTransform::SetNetRotation(const G4RotationMatrix& rot)
437 { 379 {
438 rxx=rot.xx(); << 380 rxx=rot.xx();
439 rxy=rot.xy(); << 381 rxy=rot.xy();
440 rxz=rot.xz(); << 382 rxz=rot.xz();
441 ryx=rot.yx(); << 383 ryx=rot.yx();
442 ryy=rot.yy(); << 384 ryy=rot.yy();
443 ryz=rot.yz(); << 385 ryz=rot.yz();
444 rzx=rot.zx(); << 386 rzx=rot.zx();
445 rzy=rot.zy(); << 387 rzy=rot.zy();
446 rzz=rot.zz(); << 388 rzz=rot.zz();
447 } 389 }
448 390
449 inline 391 inline
450 void G4AffineTransform::SetNetTranslation(cons 392 void G4AffineTransform::SetNetTranslation(const G4ThreeVector& tlate)
451 { 393 {
452 tx=tlate.x(); << 394 tx=tlate.x();
453 ty=tlate.y(); << 395 ty=tlate.y();
454 tz=tlate.z(); << 396 tz=tlate.z();
455 } 397 }
456 398
457 inline 399 inline
458 G4AffineTransform::operator G4Transform3D () c 400 G4AffineTransform::operator G4Transform3D () const
459 { 401 {
460 return G4Transform3D(NetRotation().inverse() << 402 return G4Transform3D(NetRotation().inverse(),NetTranslation());
461 } 403 }
462 404
463 inline 405 inline
464 std::ostream& operator << (std::ostream& os, c 406 std::ostream& operator << (std::ostream& os, const G4AffineTransform& transf)
465 { 407 {
466 std::streamsize oldPrec = os.precision(6); << 408 std::streamsize oldPrec = os.precision(6);
467 G4double DeviationTolerance = 1.0e-05; 409 G4double DeviationTolerance = 1.0e-05;
468 410
469 G4double diagDeviation = 0.0; << 411 G4double diagDeviation = 0.0;
470 G4double offdDeviationUL = 0.0; 412 G4double offdDeviationUL = 0.0;
471 G4double offdDeviationDR = 0.0; 413 G4double offdDeviationDR = 0.0;
472 G4double offdDeviation = 0.0; << 414 G4double offdDeviation = 0.0;
473 415
474 os << " Transformation: " << G4endl; << 416 os << " Transformation: " << G4endl;
475 417
476 // double a = std::max ( 1, 2, 3 ) ; << 418 // double a = std::max ( 1, 2, 3 ) ;
477 << 419
478 G4bool UnitTr = ! transf.IsRotated(); << 420 G4bool UnitTr = ! transf.IsRotated();
479 diagDeviation = std::max( std::fabs( transf[ 421 diagDeviation = std::max( std::fabs( transf[0] - 1.0 ) , // |rxx - 1|
480 std::fabs( transf[ 422 std::fabs( transf[5] - 1.0 ) ); // |ryy - 1|
481 diagDeviation = std::max( diagDeviation, << 423 diagDeviation = std::max( diagDeviation,
482 std::fabs( transf[ 424 std::fabs( transf[10] - 1.0 ) ); // |rzz - 1|
483 425
484 offdDeviationUL = std::max( std::fabs( trans 426 offdDeviationUL = std::max( std::fabs( transf[1] ) , // |rxy|
485 std::fabs( trans 427 std::fabs( transf[2] ) ); // |rxz|
486 offdDeviationUL = std::max( offdDeviationUL, 428 offdDeviationUL = std::max( offdDeviationUL,
487 std::fabs( trans 429 std::fabs( transf[4] ) ); // |ryx|
488 430
489 offdDeviationDR = std::max( std::fabs( trans 431 offdDeviationDR = std::max( std::fabs( transf[6] ) , // |ryz|
490 std::fabs( trans 432 std::fabs( transf[8] ) ); // |rzx|
491 offdDeviationDR = std::max( offdDeviationDR, 433 offdDeviationDR = std::max( offdDeviationDR,
492 std::fabs( trans 434 std::fabs( transf[9] ) ); // |rzy|
493 offdDeviation = std::max( offdDeviationUL, o << 435 offdDeviation = std::max( offdDeviationUL, offdDeviationDR );
494 436
495 if( UnitTr || std::max(diagDeviation, offdDe 437 if( UnitTr || std::max(diagDeviation, offdDeviation) < DeviationTolerance )
496 { 438 {
497 os << " UNIT Rotation " << G4endl; 439 os << " UNIT Rotation " << G4endl;
498 } 440 }
499 else 441 else
500 { 442 {
501 os << "rx/x,y,z: " 443 os << "rx/x,y,z: "
502 << transf[0] << " " << transf[1] << " 444 << transf[0] << " " << transf[1] << " " << transf[2] << G4endl
503 << "ry/x,y,z: " 445 << "ry/x,y,z: "
504 << transf[4] << " " << transf[5] << " 446 << transf[4] << " " << transf[5] << " " << transf[6] << G4endl
505 << "rz/x,y,z: " 447 << "rz/x,y,z: "
506 << transf[8] << " " << transf[9] << " 448 << transf[8] << " " << transf[9] << " " << transf[10] << G4endl;
507 } 449 }
508 450
509 os << "tr/x,y,z: " << transf[12] << " " << 451 os << "tr/x,y,z: " << transf[12] << " " << transf[13] << " " << transf[14]
510 << G4endl; 452 << G4endl;
511 453
512 os.precision(oldPrec); << 454 os.precision(oldPrec);
513 455
514 return os; << 456 return os;
515 } 457 }
516 458