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Reference Guide
TGeoMatrix.h
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1// @(#)root/geom:$Id$
2// Author: Andrei Gheata 25/10/01
3
4/*************************************************************************
5 * Copyright (C) 1995-2000, Rene Brun and Fons Rademakers. *
6 * All rights reserved. *
7 * *
8 * For the licensing terms see $ROOTSYS/LICENSE. *
9 * For the list of contributors see $ROOTSYS/README/CREDITS. *
10 *************************************************************************/
11
12#ifndef ROOT_TGeoMatrix
13#define ROOT_TGeoMatrix
14
15/*************************************************************************
16 * Geometrical transformations. TGeoMatrix - base class, TGeoTranslation *
17 * TGeoRotation, TGeoScale, TGeoCombiTrans, TGeoGenTrans . *
18 * *
19 *************************************************************************/
20
21#include "TNamed.h"
22
23//--- globals
24const Double_t kNullVector[3] = {0.0, 0.0, 0.0};
25
26const Double_t kIdentityMatrix[3*3] = {1.0, 0.0, 0.0,
27 0.0, 1.0, 0.0,
28 0.0, 0.0, 1.0};
29
30const Double_t kUnitScale[3] = {1.0, 1.0, 1.0};
31
32class TGeoHMatrix;
33
34////////////////////////////////////////////////////////////////////////////
35// //
36// TGeoMatrix - base class for geometrical transformations. //
37// //
38////////////////////////////////////////////////////////////////////////////
39
40class TGeoMatrix : public TNamed
41{
42public:
56};
57
58protected:
59 TGeoMatrix(const TGeoMatrix &other);
60
61public :
62 TGeoMatrix();
63 TGeoMatrix(const char *name);
64 virtual ~TGeoMatrix();
65
70 Bool_t IsScale() const {return TestBit(kGeoScale);}
71 Bool_t IsShared() const {return TestBit(kGeoShared);}
78 Bool_t IsRotAboutZ() const;
79 void GetHomogenousMatrix(Double_t *hmat) const;
80 char *GetPointerName() const;
81
82 virtual Int_t GetByteCount() const;
83 virtual const Double_t *GetTranslation() const = 0;
84 virtual const Double_t *GetRotationMatrix() const = 0;
85 virtual const Double_t *GetScale() const = 0;
86 virtual TGeoHMatrix Inverse() const = 0;
87 virtual void LocalToMaster(const Double_t *local, Double_t *master) const;
88 virtual void LocalToMasterVect(const Double_t *local, Double_t *master) const;
89 virtual void LocalToMasterBomb(const Double_t *local, Double_t *master) const;
90 virtual TGeoMatrix *MakeClone() const = 0;
91 virtual void MasterToLocal(const Double_t *master, Double_t *local) const;
92 virtual void MasterToLocalVect(const Double_t *master, Double_t *local) const;
93 virtual void MasterToLocalBomb(const Double_t *master, Double_t *local) const;
94 static void Normalize(Double_t *vect);
95 void Print(Option_t *option="") const; // *MENU*
96 virtual void RotateX(Double_t) {}
97 virtual void RotateY(Double_t) {}
98 virtual void RotateZ(Double_t) {}
99 virtual void ReflectX(Bool_t leftside,Bool_t rotonly=kFALSE);
100 virtual void ReflectY(Bool_t leftside,Bool_t rotonly=kFALSE);
101 virtual void ReflectZ(Bool_t leftside,Bool_t rotonly=kFALSE);
102 virtual void RegisterYourself();
103 void SetDefaultName();
104 virtual void SetDx(Double_t) {}
105 virtual void SetDy(Double_t) {}
106 virtual void SetDz(Double_t) {}
108
109 ClassDef(TGeoMatrix, 1) // base geometrical transformation class
110};
111
112////////////////////////////////////////////////////////////////////////////
113// //
114// TGeoTranslation - class describing translations. A translation is //
115// basically an array of 3 doubles matching the positions 12, 13 //
116// and 14 in the homogenous matrix description. //
117// //
118// //
119////////////////////////////////////////////////////////////////////////////
120
122{
123protected:
124 Double_t fTranslation[3]; // translation vector
125public :
127 TGeoTranslation(const TGeoTranslation &other);
128 TGeoTranslation(const TGeoMatrix &other);
130 TGeoTranslation(const char *name, Double_t dx, Double_t dy, Double_t dz);
131 virtual ~TGeoTranslation() {}
132
134 TGeoTranslation &operator =(const TGeoMatrix &matrix);
136 TGeoTranslation operator *(const TGeoTranslation &right) const;
137 TGeoHMatrix operator *(const TGeoMatrix &right) const;
138 Bool_t operator ==(const TGeoTranslation &other) const;
139
140 void Add(const TGeoTranslation *other);
141 TGeoHMatrix Inverse() const;
142 virtual void LocalToMaster(const Double_t *local, Double_t *master) const;
143 virtual void LocalToMasterVect(const Double_t *local, Double_t *master) const;
144 virtual void LocalToMasterBomb(const Double_t *local, Double_t *master) const;
145 virtual TGeoMatrix *MakeClone() const;
146 virtual void MasterToLocal(const Double_t *master, Double_t *local) const;
147 virtual void MasterToLocalVect(const Double_t *master, Double_t *local) const;
148 virtual void MasterToLocalBomb(const Double_t *master, Double_t *local) const;
149 virtual void RotateX(Double_t angle);
150 virtual void RotateY(Double_t angle);
151 virtual void RotateZ(Double_t angle);
152 virtual void SavePrimitive(std::ostream &out, Option_t *option = "");
153 void Subtract(const TGeoTranslation *other);
154 void SetTranslation(Double_t dx, Double_t dy, Double_t dz);
155 void SetTranslation(const TGeoMatrix &other);
156 virtual void SetDx(Double_t dx) {SetTranslation(dx, fTranslation[1], fTranslation[2]);}
157 virtual void SetDy(Double_t dy) {SetTranslation(fTranslation[0], dy, fTranslation[2]);}
158 virtual void SetDz(Double_t dz) {SetTranslation(fTranslation[0], fTranslation[1], dz);}
159
160 virtual const Double_t *GetTranslation() const {return &fTranslation[0];}
161 virtual const Double_t *GetRotationMatrix() const {return &kIdentityMatrix[0];}
162 virtual const Double_t *GetScale() const {return &kUnitScale[0];}
163
164 ClassDef(TGeoTranslation, 1) // translation class
165};
166
167////////////////////////////////////////////////////////////////////////////
168// //
169// TGeoRotation - class describing rotations. A rotation is a 3*3 array //
170// Column vectors has to be orthogonal unit vectors. //
171// //
172////////////////////////////////////////////////////////////////////////////
173
175{
176protected:
177 Double_t fRotationMatrix[3*3]; // rotation matrix
178
179 void CheckMatrix();
180public :
181 TGeoRotation();
182 TGeoRotation(const TGeoRotation &other);
183 TGeoRotation(const TGeoMatrix &other);
184 TGeoRotation(const char *name);
185// TGeoRotation(const char *name, Double_t *matrix) ;
186 TGeoRotation(const char *name, Double_t phi, Double_t theta, Double_t psi);
187 TGeoRotation(const char *name, Double_t theta1, Double_t phi1, Double_t theta2, Double_t phi2,
188 Double_t theta3, Double_t phi3);
189 virtual ~TGeoRotation() {}
190
192 TGeoRotation &operator =(const TGeoMatrix &other);
194 TGeoRotation operator *(const TGeoRotation &other) const;
195 TGeoHMatrix operator *(const TGeoMatrix &right) const;
196 Bool_t operator ==(const TGeoRotation &other) const;
197
198 Bool_t IsValid() const;
199 TGeoHMatrix Inverse() const;
200 void Clear(Option_t *option ="");
201 Double_t Determinant() const;
202 void FastRotZ(const Double_t *sincos);
203 void GetAngles(Double_t &theta1, Double_t &phi1, Double_t &theta2, Double_t &phi2,
204 Double_t &theta3, Double_t &phi3) const;
205 void GetAngles(Double_t &phi, Double_t &theta, Double_t &psi) const;
207 virtual void LocalToMaster(const Double_t *local, Double_t *master) const;
208 virtual void LocalToMasterVect(const Double_t *local, Double_t *master) const {TGeoRotation::LocalToMaster(local, master);}
209 virtual void LocalToMasterBomb(const Double_t *local, Double_t *master) const {TGeoRotation::LocalToMaster(local, master);}
210 virtual TGeoMatrix *MakeClone() const;
211 virtual void MasterToLocal(const Double_t *master, Double_t *local) const;
212 virtual void MasterToLocalVect(const Double_t *master, Double_t *local) const {TGeoRotation::MasterToLocal(master, local);}
213 virtual void MasterToLocalBomb(const Double_t *master, Double_t *local) const {TGeoRotation::MasterToLocal(master, local);}
214 void MultiplyBy(const TGeoRotation *rot, Bool_t after=kTRUE);
215 virtual void RotateX(Double_t angle);
216 virtual void RotateY(Double_t angle);
217 virtual void RotateZ(Double_t angle);
218 virtual void SavePrimitive(std::ostream &out, Option_t *option = "");
219 virtual void ReflectX(Bool_t leftside, Bool_t rotonly=kFALSE);
220 virtual void ReflectY(Bool_t leftside, Bool_t rotonly=kFALSE);
221 virtual void ReflectZ(Bool_t leftside, Bool_t rotonly=kFALSE);
222 void SetAngles(Double_t phi, Double_t theta, Double_t psi);
223 void SetAngles(Double_t theta1, Double_t phi1, Double_t theta2, Double_t phi2,
224 Double_t theta3, Double_t phi3);
225 void SetMatrix(const Double_t *rot) {memcpy(&fRotationMatrix[0], rot, 9*sizeof(Double_t));CheckMatrix();}
226 void SetRotation(const TGeoMatrix &other);
227 void GetInverse(Double_t *invmat) const;
228
229 virtual const Double_t *GetTranslation() const {return &kNullVector[0];}
230 virtual const Double_t *GetRotationMatrix() const {return &fRotationMatrix[0];}
231 virtual const Double_t *GetScale() const {return &kUnitScale[0];}
232
233 ClassDef(TGeoRotation, 1) // rotation class
234};
235
236////////////////////////////////////////////////////////////////////////////
237// //
238// TGeoScale - class describing scale transformations. A scale is an //
239// array of 3 doubles (sx, sy, sz) multiplying elements 0, 5 and 10 //
240// of the homogenous matrix. A scale is normalized : sx*sy*sz = 1 //
241// //
242////////////////////////////////////////////////////////////////////////////
243
244class TGeoScale : public TGeoMatrix
245{
246protected:
247 Double_t fScale[3]; // scale (x, y, z)
248public :
249 TGeoScale();
250 TGeoScale(const TGeoScale &other);
251 TGeoScale(const TGeoMatrix &other);
253 TGeoScale(const char *name, Double_t sx, Double_t sy, Double_t sz);
254 virtual ~TGeoScale();
255
257 TGeoScale &operator =(const TGeoMatrix &other);
258 TGeoScale &operator *=(const TGeoScale &other);
259 TGeoScale operator *(const TGeoScale &other) const;
260 TGeoHMatrix operator *(const TGeoMatrix &right) const;
261 Bool_t operator ==(const TGeoScale &other) const;
262
263 TGeoHMatrix Inverse() const;
264 void SetScale(Double_t sx, Double_t sy, Double_t sz);
265 void SetScale(const TGeoMatrix &other);
266 virtual void LocalToMaster(const Double_t *local, Double_t *master) const;
267 Double_t LocalToMaster(Double_t dist, const Double_t *dir=0) const;
268 virtual void LocalToMasterVect(const Double_t *local, Double_t *master) const {TGeoScale::LocalToMaster(local, master);}
269 virtual TGeoMatrix *MakeClone() const;
270 virtual void MasterToLocal(const Double_t *master, Double_t *local) const;
271 Double_t MasterToLocal(Double_t dist, const Double_t *dir=0) const;
272 virtual void MasterToLocalVect(const Double_t *master, Double_t *local) const {TGeoScale::MasterToLocal(master, local);}
276
277 virtual const Double_t *GetTranslation() const {return &kNullVector[0];}
278 virtual const Double_t *GetRotationMatrix() const {return &kIdentityMatrix[0];}
279 virtual const Double_t *GetScale() const {return &fScale[0];}
280
281 ClassDef(TGeoScale, 1) // scaling class
282};
283
284////////////////////////////////////////////////////////////////////////////
285// //
286// TGeoCombiTrans - class describing rotation + translation. Most //
287// frequently used in the description of TGeoNode 's //
288// //
289////////////////////////////////////////////////////////////////////////////
290
292{
293protected:
294 Double_t fTranslation[3]; // translation vector
295 TGeoRotation *fRotation; // rotation matrix
296public :
299 TGeoCombiTrans(const TGeoMatrix &other);
300 TGeoCombiTrans(const TGeoTranslation &tr, const TGeoRotation &rot);
301 TGeoCombiTrans(const char *name);
303 TGeoCombiTrans(const char *name, Double_t dx, Double_t dy, Double_t dz, TGeoRotation *rot);
304
306 TGeoCombiTrans& operator =(const TGeoMatrix &matrix);
308 TGeoCombiTrans operator *(const TGeoMatrix &other) const;
309 Bool_t operator ==(const TGeoMatrix &other) const;
310
311 virtual ~TGeoCombiTrans();
312
313 void Clear(Option_t *option ="");
314 TGeoHMatrix Inverse() const;
315 virtual TGeoMatrix *MakeClone() const;
316 void Multiply(const TGeoMatrix *right);
317 virtual void RegisterYourself();
318 virtual void RotateX(Double_t angle);
319 virtual void RotateY(Double_t angle);
320 virtual void RotateZ(Double_t angle);
321 virtual void ReflectX(Bool_t leftside, Bool_t rotonly=kFALSE);
322 virtual void ReflectY(Bool_t leftside, Bool_t rotonly=kFALSE);
323 virtual void ReflectZ(Bool_t leftside, Bool_t rotonly=kFALSE);
324 virtual void SavePrimitive(std::ostream &out, Option_t *option = "");
325 virtual void SetDx(Double_t dx) {SetTranslation(dx, fTranslation[1], fTranslation[2]);}
326 virtual void SetDy(Double_t dy) {SetTranslation(fTranslation[0], dy, fTranslation[2]);}
327 virtual void SetDz(Double_t dz) {SetTranslation(fTranslation[0], fTranslation[1], dz);}
328 void SetTranslation(const TGeoTranslation &tr);
329 void SetTranslation(Double_t dx, Double_t dy, Double_t dz);
330 void SetTranslation(Double_t *vect);
331 void SetRotation(const TGeoRotation &other);
332 void SetRotation(const TGeoRotation *rot);
333
335
336 virtual const Double_t *GetTranslation() const {return &fTranslation[0];}
337 virtual const Double_t *GetRotationMatrix() const;
338 virtual const Double_t *GetScale() const {return &kUnitScale[0];}
339
340 ClassDef(TGeoCombiTrans, 1) // rotation + translation
341};
342
343////////////////////////////////////////////////////////////////////////////
344// //
345// TGeoGenTrans - most general transformation, holding a translation, //
346// a rotation and a scale //
347// //
348////////////////////////////////////////////////////////////////////////////
349
351{
352protected:
353 Double_t fScale[3]; // scale (x, y, z)
354public :
355 TGeoGenTrans();
356 TGeoGenTrans(const char *name);
358 Double_t sx, Double_t sy, Double_t sz, TGeoRotation *rot);
359 TGeoGenTrans(const char *name, Double_t dx, Double_t dy, Double_t dz,
360 Double_t sx, Double_t sy, Double_t sz, TGeoRotation *rot);
361 virtual ~TGeoGenTrans();
362
363 void Clear(Option_t *option ="");
364 TGeoHMatrix Inverse() const;
365 void SetScale(Double_t sx, Double_t sy, Double_t sz);
366 void SetScale(Double_t *scale) {memcpy(&fScale[0], scale, 3*sizeof(Double_t));}
367 virtual TGeoMatrix *MakeClone() const {return NULL;}
369
370 virtual const Double_t *GetScale() const {return &fScale[0];}
371
372 ClassDef(TGeoGenTrans, 1) // rotation + translation + scale
373};
374
375////////////////////////////////////////////////////////////////////////////
376// //
377// TGeoIdentity - an identity transformation. It holds no data member //
378// and returns pointers to static null translation and identity //
379// transformations for rotation and scale //
380// //
381////////////////////////////////////////////////////////////////////////////
382
384{
385private:
386 // no data members
387public :
388 TGeoIdentity();
389 TGeoIdentity(const char *name);
390 virtual ~TGeoIdentity() {}
391
392 TGeoHMatrix Inverse() const;
393 virtual void LocalToMaster(const Double_t *local, Double_t *master) const {memcpy(master, local, 3*sizeof(Double_t));}
394 virtual void LocalToMasterVect(const Double_t *local, Double_t *master) const {memcpy(master, local, 3*sizeof(Double_t));}
395 virtual void LocalToMasterBomb(const Double_t *local, Double_t *master) const {TGeoIdentity::LocalToMaster(local, master);}
396 virtual TGeoMatrix *MakeClone() const {return NULL;}
397 virtual void MasterToLocal(const Double_t *master, Double_t *local) const {memcpy(local, master, 3*sizeof(Double_t));}
398 virtual void MasterToLocalVect(const Double_t *master, Double_t *local) const {memcpy(local, master, 3*sizeof(Double_t));}
399 virtual void MasterToLocalBomb(const Double_t *master, Double_t *local) const {TGeoIdentity::MasterToLocal(master, local);}
400
401 virtual const Double_t *GetTranslation() const {return &kNullVector[0];}
402 virtual const Double_t *GetRotationMatrix() const {return &kIdentityMatrix[0];}
403 virtual const Double_t *GetScale() const {return &kUnitScale[0];}
404 virtual void SavePrimitive(std::ostream &, Option_t * = "") {;}
405
406 ClassDef(TGeoIdentity, 1) // identity transformation class
407};
408
409
410
411////////////////////////////////////////////////////////////////////////////
412// //
413// TGeoHMatrix - Matrix class used for computing global transformations //
414// Should NOT be used for node definition. An instance of this class //
415// is generally used to pile-up local transformations starting from //
416// the top level physical node, down to the current node. //
417// //
418////////////////////////////////////////////////////////////////////////////
419
421{
422private:
423 Double_t fTranslation[3]; // translation component
424 Double_t fRotationMatrix[9]; // rotation matrix
425 Double_t fScale[3]; // scale component
426
427public :
428 TGeoHMatrix();
429 TGeoHMatrix(const TGeoHMatrix &other) : TGeoHMatrix((TGeoMatrix&)other) {}
430 TGeoHMatrix(const TGeoMatrix &matrix);
431 TGeoHMatrix(const char *name);
432 virtual ~TGeoHMatrix();
433
435 TGeoHMatrix& operator =(const TGeoMatrix *other);
436 TGeoHMatrix& operator =(const TGeoMatrix &other);
437 TGeoHMatrix& operator *=(const TGeoMatrix &other);
438 TGeoHMatrix operator *(const TGeoMatrix &other) const;
439 Bool_t operator ==(const TGeoMatrix &other) const;
440
441 void Clear(Option_t *option ="");
442 void CopyFrom(const TGeoMatrix *other);
443 Double_t Determinant() const;
444 void FastRotZ(const Double_t *sincos);
445 TGeoHMatrix Inverse() const;
446 virtual TGeoMatrix *MakeClone() const;
447 void Multiply(const TGeoMatrix *right);
448 void Multiply(const TGeoMatrix &right) {Multiply(&right);}
449 void MultiplyLeft(const TGeoMatrix *left);
450 void MultiplyLeft(const TGeoMatrix &left) {MultiplyLeft(&left);}
451
452 virtual void RotateX(Double_t angle);
453 virtual void RotateY(Double_t angle);
454 virtual void RotateZ(Double_t angle);
455 virtual void ReflectX(Bool_t leftside, Bool_t rotonly=kFALSE);
456 virtual void ReflectY(Bool_t leftside, Bool_t rotonly=kFALSE);
457 virtual void ReflectZ(Bool_t leftside, Bool_t rotonly=kFALSE);
458 virtual void SavePrimitive(std::ostream &out, Option_t *option = "");
459 virtual void SetDx(Double_t dx) {fTranslation[0] = dx; SetBit(kGeoTranslation);}
460 virtual void SetDy(Double_t dy) {fTranslation[1] = dy; SetBit(kGeoTranslation);}
461 virtual void SetDz(Double_t dz) {fTranslation[2] = dz; SetBit(kGeoTranslation);}
462 void SetTranslation(const Double_t *vect) {SetBit(kGeoTranslation); memcpy(&fTranslation[0], vect, 3*sizeof(Double_t));}
463 void SetRotation(const Double_t *matrix) {SetBit(kGeoRotation); memcpy(&fRotationMatrix[0], matrix, 9*sizeof(Double_t));}
464 void SetScale(const Double_t *scale) {SetBit(kGeoScale); memcpy(&fScale[0], scale, 3*sizeof(Double_t));}
465
466
467 virtual const Double_t *GetTranslation() const {return &fTranslation[0];}
468 virtual const Double_t *GetRotationMatrix() const {return &fRotationMatrix[0];}
469 virtual const Double_t *GetScale() const {return &fScale[0];}
470
471 virtual Double_t *GetTranslation() {return &fTranslation[0];}
473 virtual Double_t *GetScale() {return &fScale[0];}
474 ClassDef(TGeoHMatrix, 1) // global matrix class
475};
476
477
479
480#endif
481
#define R__EXTERN
Definition: DllImport.h:27
int Int_t
Definition: RtypesCore.h:41
const Bool_t kFALSE
Definition: RtypesCore.h:88
bool Bool_t
Definition: RtypesCore.h:59
double Double_t
Definition: RtypesCore.h:55
const Bool_t kTRUE
Definition: RtypesCore.h:87
const char Option_t
Definition: RtypesCore.h:62
#define ClassDef(name, id)
Definition: Rtypes.h:326
#define BIT(n)
Definition: Rtypes.h:83
char name[80]
Definition: TGX11.cxx:109
const Double_t kUnitScale[3]
Definition: TGeoMatrix.h:30
const Double_t kIdentityMatrix[3 *3]
Definition: TGeoMatrix.h:26
R__EXTERN TGeoIdentity * gGeoIdentity
Definition: TGeoMatrix.h:478
const Double_t kNullVector[3]
Definition: TGeoMatrix.h:24
Class describing rotation + translation.
Definition: TGeoMatrix.h:292
void Multiply(const TGeoMatrix *right)
multiply to the right with an other transformation if right is identity matrix, just return
virtual void ReflectZ(Bool_t leftside, Bool_t rotonly=kFALSE)
Multiply by a reflection respect to XY.
TGeoCombiTrans & operator*=(const TGeoMatrix &other)
Composition.
Bool_t operator==(const TGeoMatrix &other) const
Is-equal operator.
virtual void SavePrimitive(std::ostream &out, Option_t *option="")
Save a primitive as a C++ statement(s) on output stream "out".
virtual const Double_t * GetTranslation() const
Definition: TGeoMatrix.h:336
TGeoCombiTrans()
dummy ctor
virtual TGeoMatrix * MakeClone() const
Make a clone of this matrix.
virtual ~TGeoCombiTrans()
destructor
virtual void SetDy(Double_t dy)
Definition: TGeoMatrix.h:326
virtual const Double_t * GetScale() const
Definition: TGeoMatrix.h:338
virtual const Double_t * GetRotationMatrix() const
get the rotation array
virtual void RotateZ(Double_t angle)
Rotate about Z axis with angle expressed in degrees.
Double_t fTranslation[3]
Definition: TGeoMatrix.h:294
virtual void RegisterYourself()
Register the matrix in the current manager, which will become the owner.
TGeoRotation * fRotation
Definition: TGeoMatrix.h:295
virtual void SetDz(Double_t dz)
Definition: TGeoMatrix.h:327
TGeoRotation * GetRotation() const
Definition: TGeoMatrix.h:334
void SetTranslation(const TGeoTranslation &tr)
copy the translation component
void SetRotation(const TGeoRotation &other)
Copy the rotation from another one.
TGeoCombiTrans(const TGeoCombiTrans &other)
Definition: TGeoMatrix.h:298
virtual void ReflectX(Bool_t leftside, Bool_t rotonly=kFALSE)
Multiply by a reflection respect to YZ.
TGeoCombiTrans & operator=(const TGeoCombiTrans &other)
Definition: TGeoMatrix.h:305
virtual void ReflectY(Bool_t leftside, Bool_t rotonly=kFALSE)
Multiply by a reflection respect to ZX.
TGeoHMatrix Inverse() const
Return a temporary inverse of this.
TGeoCombiTrans operator*(const TGeoMatrix &other) const
void Clear(Option_t *option="")
Reset translation/rotation to identity.
virtual void RotateY(Double_t angle)
Rotate about Y axis with angle expressed in degrees.
virtual void SetDx(Double_t dx)
Definition: TGeoMatrix.h:325
virtual void RotateX(Double_t angle)
Rotate about X axis with angle expressed in degrees.
Most general transformation, holding a translation, a rotation and a scale.
Definition: TGeoMatrix.h:351
virtual TGeoMatrix * MakeClone() const
Make a clone of this matrix.
Definition: TGeoMatrix.h:367
virtual const Double_t * GetScale() const
Definition: TGeoMatrix.h:370
virtual ~TGeoGenTrans()
destructor
Double_t fScale[3]
Definition: TGeoMatrix.h:353
void Clear(Option_t *option="")
clear the fields of this transformation
Bool_t Normalize()
A scale transformation should be normalized by sx*sy*sz factor.
TGeoGenTrans()
dummy ctor
void SetScale(Double_t sx, Double_t sy, Double_t sz)
set the scale
TGeoHMatrix Inverse() const
Return a temporary inverse of this.
void SetScale(Double_t *scale)
Definition: TGeoMatrix.h:366
Matrix class used for computing global transformations Should NOT be used for node definition.
Definition: TGeoMatrix.h:421
TGeoHMatrix & operator*=(const TGeoMatrix &other)
Composition.
TGeoHMatrix()
dummy ctor
virtual Double_t * GetRotationMatrix()
Definition: TGeoMatrix.h:472
virtual void RotateX(Double_t angle)
Rotate about X axis with angle expressed in degrees.
void SetRotation(const Double_t *matrix)
Definition: TGeoMatrix.h:463
TGeoHMatrix(const TGeoHMatrix &other)
Definition: TGeoMatrix.h:429
virtual void RotateZ(Double_t angle)
Rotate about Z axis with angle expressed in degrees.
void SetScale(const Double_t *scale)
Definition: TGeoMatrix.h:464
void MultiplyLeft(const TGeoMatrix *left)
multiply to the left with an other transformation if right is identity matrix, just return
virtual ~TGeoHMatrix()
destructor
Double_t Determinant() const
computes determinant of the rotation matrix
virtual void SetDz(Double_t dz)
Definition: TGeoMatrix.h:461
virtual void ReflectY(Bool_t leftside, Bool_t rotonly=kFALSE)
Multiply by a reflection respect to ZX.
void Clear(Option_t *option="")
clear the data for this matrix
void CopyFrom(const TGeoMatrix *other)
Fast copy method.
void FastRotZ(const Double_t *sincos)
Perform a rotation about Z having the sine/cosine of the rotation angle.
Double_t fTranslation[3]
Definition: TGeoMatrix.h:423
Bool_t operator==(const TGeoMatrix &other) const
Is-equal operator.
void MultiplyLeft(const TGeoMatrix &left)
Definition: TGeoMatrix.h:450
TGeoHMatrix Inverse() const
Return a temporary inverse of this.
virtual const Double_t * GetScale() const
Definition: TGeoMatrix.h:469
Double_t fRotationMatrix[9]
Definition: TGeoMatrix.h:424
virtual const Double_t * GetTranslation() const
Definition: TGeoMatrix.h:467
virtual TGeoMatrix * MakeClone() const
Make a clone of this matrix.
virtual void SetDx(Double_t dx)
Definition: TGeoMatrix.h:459
virtual void RotateY(Double_t angle)
Rotate about Y axis with angle expressed in degrees.
TGeoHMatrix & operator=(const TGeoHMatrix &other)
Definition: TGeoMatrix.h:434
void Multiply(const TGeoMatrix *right)
multiply to the right with an other transformation if right is identity matrix, just return
virtual void SavePrimitive(std::ostream &out, Option_t *option="")
Save a primitive as a C++ statement(s) on output stream "out".
virtual Double_t * GetTranslation()
Definition: TGeoMatrix.h:471
TGeoHMatrix operator*(const TGeoMatrix &other) const
virtual Double_t * GetScale()
Definition: TGeoMatrix.h:473
virtual void SetDy(Double_t dy)
Definition: TGeoMatrix.h:460
void Multiply(const TGeoMatrix &right)
Definition: TGeoMatrix.h:448
void SetTranslation(const Double_t *vect)
Definition: TGeoMatrix.h:462
Double_t fScale[3]
Definition: TGeoMatrix.h:425
virtual const Double_t * GetRotationMatrix() const
Definition: TGeoMatrix.h:468
virtual void ReflectX(Bool_t leftside, Bool_t rotonly=kFALSE)
Multiply by a reflection respect to YZ.
virtual void ReflectZ(Bool_t leftside, Bool_t rotonly=kFALSE)
Multiply by a reflection respect to XY.
An identity transformation.
Definition: TGeoMatrix.h:384
virtual void LocalToMaster(const Double_t *local, Double_t *master) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix inverse
Definition: TGeoMatrix.h:393
virtual const Double_t * GetTranslation() const
Definition: TGeoMatrix.h:401
virtual void LocalToMasterBomb(const Double_t *local, Double_t *master) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix inverse
Definition: TGeoMatrix.h:395
virtual ~TGeoIdentity()
Definition: TGeoMatrix.h:390
virtual void SavePrimitive(std::ostream &, Option_t *="")
Save a primitive as a C++ statement(s) on output stream "out".
Definition: TGeoMatrix.h:404
virtual TGeoMatrix * MakeClone() const
Definition: TGeoMatrix.h:396
virtual const Double_t * GetScale() const
Definition: TGeoMatrix.h:403
TGeoHMatrix Inverse() const
Return a temporary inverse of this.
virtual const Double_t * GetRotationMatrix() const
Definition: TGeoMatrix.h:402
virtual void MasterToLocalBomb(const Double_t *master, Double_t *local) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix
Definition: TGeoMatrix.h:399
virtual void MasterToLocalVect(const Double_t *master, Double_t *local) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix
Definition: TGeoMatrix.h:398
TGeoIdentity()
dummy ctor
virtual void LocalToMasterVect(const Double_t *local, Double_t *master) const
convert a vector by multiplying its column vector (x, y, z, 1) to matrix inverse
Definition: TGeoMatrix.h:394
virtual void MasterToLocal(const Double_t *master, Double_t *local) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix
Definition: TGeoMatrix.h:397
Geometrical transformation package.
Definition: TGeoMatrix.h:41
virtual void LocalToMasterVect(const Double_t *local, Double_t *master) const
convert a vector by multiplying its column vector (x, y, z, 1) to matrix inverse
Definition: TGeoMatrix.cxx:363
Bool_t IsScale() const
Definition: TGeoMatrix.h:70
void SetDefaultName()
If no name was supplied in the ctor, the type of transformation is checked.
Definition: TGeoMatrix.cxx:549
Bool_t IsGeneral() const
Definition: TGeoMatrix.h:75
virtual void RotateZ(Double_t)
Definition: TGeoMatrix.h:98
@ kGeoMatrixBits
Definition: TGeoMatrix.h:55
@ kGeoSavePrimitive
Definition: TGeoMatrix.h:51
@ kGeoTranslation
Definition: TGeoMatrix.h:46
@ kGeoReflection
Definition: TGeoMatrix.h:49
@ kGeoRotation
Definition: TGeoMatrix.h:47
@ kGeoCombiTrans
Definition: TGeoMatrix.h:53
@ kGeoIdentity
Definition: TGeoMatrix.h:44
@ kGeoGenTrans
Definition: TGeoMatrix.h:54
@ kGeoMatrixOwned
Definition: TGeoMatrix.h:52
@ kGeoRegistered
Definition: TGeoMatrix.h:50
virtual void MasterToLocal(const Double_t *master, Double_t *local) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix
Definition: TGeoMatrix.cxx:406
virtual void MasterToLocalVect(const Double_t *master, Double_t *local) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix
Definition: TGeoMatrix.cxx:431
virtual void ReflectZ(Bool_t leftside, Bool_t rotonly=kFALSE)
Multiply by a reflection respect to XY.
Definition: TGeoMatrix.cxx:519
virtual const Double_t * GetTranslation() const =0
virtual void SetDz(Double_t)
Definition: TGeoMatrix.h:106
Bool_t IsTranslation() const
Definition: TGeoMatrix.h:67
virtual void SetDy(Double_t)
Definition: TGeoMatrix.h:105
Bool_t IsReflection() const
Definition: TGeoMatrix.h:69
Bool_t IsRotation() const
Definition: TGeoMatrix.h:68
virtual void LocalToMasterBomb(const Double_t *local, Double_t *master) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix inverse
Definition: TGeoMatrix.cxx:380
virtual void RegisterYourself()
Register the matrix in the current manager, which will become the owner.
Definition: TGeoMatrix.cxx:526
virtual void LocalToMaster(const Double_t *local, Double_t *master) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix inverse
Definition: TGeoMatrix.cxx:339
virtual void RotateY(Double_t)
Definition: TGeoMatrix.h:97
virtual void MasterToLocalBomb(const Double_t *master, Double_t *local) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix
Definition: TGeoMatrix.cxx:448
Bool_t IsRotAboutZ() const
Returns true if no rotation or the rotation is about Z axis.
Definition: TGeoMatrix.cxx:269
virtual void RotateX(Double_t)
Definition: TGeoMatrix.h:96
void GetHomogenousMatrix(Double_t *hmat) const
The homogenous matrix associated with the transformation is used for piling up's and visualization.
Definition: TGeoMatrix.cxx:314
TGeoMatrix()
dummy constructor
Definition: TGeoMatrix.cxx:231
virtual TGeoMatrix * MakeClone() const =0
Bool_t IsOwned() const
Definition: TGeoMatrix.h:72
virtual const Double_t * GetScale() const =0
static void Normalize(Double_t *vect)
Normalize a vector.
Definition: TGeoMatrix.cxx:473
void Print(Option_t *option="") const
print the matrix in 4x4 format
Definition: TGeoMatrix.cxx:486
Bool_t IsIdentity() const
Definition: TGeoMatrix.h:66
Bool_t IsCombi() const
Definition: TGeoMatrix.h:73
void SetShared(Bool_t flag=kTRUE)
Definition: TGeoMatrix.h:107
virtual void SetDx(Double_t)
Definition: TGeoMatrix.h:104
Bool_t IsRegistered() const
Definition: TGeoMatrix.h:77
virtual ~TGeoMatrix()
Destructor.
Definition: TGeoMatrix.cxx:256
Bool_t IsShared() const
Definition: TGeoMatrix.h:71
virtual const Double_t * GetRotationMatrix() const =0
virtual Int_t GetByteCount() const
Get total size in bytes of this.
Definition: TGeoMatrix.cxx:282
virtual TGeoHMatrix Inverse() const =0
virtual void ReflectY(Bool_t leftside, Bool_t rotonly=kFALSE)
Multiply by a reflection respect to ZX.
Definition: TGeoMatrix.cxx:512
virtual void ReflectX(Bool_t leftside, Bool_t rotonly=kFALSE)
Multiply by a reflection respect to YZ.
Definition: TGeoMatrix.cxx:505
char * GetPointerName() const
Provide a pointer name containing uid.
Definition: TGeoMatrix.cxx:294
Class describing rotations.
Definition: TGeoMatrix.h:175
virtual void RotateY(Double_t angle)
Rotate about Y axis of the master frame with angle expressed in degrees.
virtual void ReflectX(Bool_t leftside, Bool_t rotonly=kFALSE)
Multiply by a reflection respect to YZ.
virtual void LocalToMasterBomb(const Double_t *local, Double_t *master) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix inverse
Definition: TGeoMatrix.h:209
TGeoRotation()
Default constructor.
Definition: TGeoMatrix.cxx:854
virtual void ReflectZ(Bool_t leftside, Bool_t rotonly=kFALSE)
Multiply by a reflection respect to XY.
virtual void LocalToMaster(const Double_t *local, Double_t *master) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix inverse
virtual ~TGeoRotation()
Definition: TGeoMatrix.h:189
void SetAngles(Double_t phi, Double_t theta, Double_t psi)
Set matrix elements according to Euler angles.
virtual void MasterToLocalBomb(const Double_t *master, Double_t *local) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix
Definition: TGeoMatrix.h:213
void Clear(Option_t *option="")
reset data members
virtual const Double_t * GetRotationMatrix() const
Definition: TGeoMatrix.h:230
void MultiplyBy(const TGeoRotation *rot, Bool_t after=kTRUE)
Multiply this rotation with the one specified by ROT.
virtual void SavePrimitive(std::ostream &out, Option_t *option="")
Save a primitive as a C++ statement(s) on output stream "out".
Bool_t operator==(const TGeoRotation &other) const
Is-equal operator.
Definition: TGeoMatrix.cxx:963
void SetMatrix(const Double_t *rot)
Definition: TGeoMatrix.h:225
virtual TGeoMatrix * MakeClone() const
Make a clone of this matrix.
virtual void ReflectY(Bool_t leftside, Bool_t rotonly=kFALSE)
Multiply by a reflection respect to ZX.
TGeoRotation & operator*=(const TGeoRotation &other)
Composition.
Definition: TGeoMatrix.cxx:939
virtual void MasterToLocal(const Double_t *master, Double_t *local) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix
virtual void RotateX(Double_t angle)
Rotate about X axis of the master frame with angle expressed in degrees.
void CheckMatrix()
performes an orthogonality check and finds if the matrix is a reflection Warning("CheckMatrix",...
TGeoHMatrix Inverse() const
Return a temporary inverse of this.
Definition: TGeoMatrix.cxx:976
Double_t GetPhiRotation(Bool_t fixX=kFALSE) const
Returns rotation angle about Z axis in degrees.
void FastRotZ(const Double_t *sincos)
Perform a rotation about Z having the sine/cosine of the rotation angle.
virtual void LocalToMasterVect(const Double_t *local, Double_t *master) const
convert a vector by multiplying its column vector (x, y, z, 1) to matrix inverse
Definition: TGeoMatrix.h:208
void GetInverse(Double_t *invmat) const
Get the inverse rotation matrix (which is simply the transpose)
Double_t Determinant() const
computes determinant of the rotation matrix
void GetAngles(Double_t &theta1, Double_t &phi1, Double_t &theta2, Double_t &phi2, Double_t &theta3, Double_t &phi3) const
Retrieve rotation angles.
virtual const Double_t * GetScale() const
Definition: TGeoMatrix.h:231
Bool_t IsValid() const
Perform orthogonality test for rotation.
Definition: TGeoMatrix.cxx:997
virtual void RotateZ(Double_t angle)
Rotate about Z axis of the master frame with angle expressed in degrees.
TGeoRotation operator*(const TGeoRotation &other) const
Definition: TGeoMatrix.cxx:946
Double_t fRotationMatrix[3 *3]
Definition: TGeoMatrix.h:177
void SetRotation(const TGeoMatrix &other)
Copy rotation elements from other rotation matrix.
virtual void MasterToLocalVect(const Double_t *master, Double_t *local) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix
Definition: TGeoMatrix.h:212
virtual const Double_t * GetTranslation() const
Definition: TGeoMatrix.h:229
TGeoRotation & operator=(const TGeoRotation &other)
Definition: TGeoMatrix.h:191
Class describing scale transformations.
Definition: TGeoMatrix.h:245
virtual const Double_t * GetTranslation() const
Definition: TGeoMatrix.h:277
virtual void MasterToLocal(const Double_t *master, Double_t *local) const
Convert a global point to local frame.
TGeoScale()
default constructor
virtual void ReflectY(Bool_t, Bool_t)
Multiply by a reflection respect to ZX.
Definition: TGeoMatrix.h:274
virtual const Double_t * GetRotationMatrix() const
Definition: TGeoMatrix.h:278
virtual void MasterToLocalVect(const Double_t *master, Double_t *local) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix
Definition: TGeoMatrix.h:272
virtual void LocalToMasterVect(const Double_t *local, Double_t *master) const
convert a vector by multiplying its column vector (x, y, z, 1) to matrix inverse
Definition: TGeoMatrix.h:268
TGeoScale & operator=(const TGeoScale &other)
Definition: TGeoMatrix.h:256
Bool_t operator==(const TGeoScale &other) const
Is-equal operator.
void SetScale(Double_t sx, Double_t sy, Double_t sz)
scale setter
TGeoHMatrix Inverse() const
Return a temporary inverse of this.
virtual ~TGeoScale()
destructor
Double_t fScale[3]
Definition: TGeoMatrix.h:247
virtual void ReflectZ(Bool_t, Bool_t)
Multiply by a reflection respect to XY.
Definition: TGeoMatrix.h:275
virtual void LocalToMaster(const Double_t *local, Double_t *master) const
Convert a local point to the master frame.
virtual const Double_t * GetScale() const
Definition: TGeoMatrix.h:279
virtual void ReflectX(Bool_t, Bool_t)
Multiply by a reflection respect to YZ.
Definition: TGeoMatrix.h:273
TGeoScale operator*(const TGeoScale &other) const
TGeoScale & operator*=(const TGeoScale &other)
Scale composition.
virtual TGeoMatrix * MakeClone() const
Make a clone of this matrix.
Class describing translations.
Definition: TGeoMatrix.h:122
virtual const Double_t * GetTranslation() const
Definition: TGeoMatrix.h:160
Bool_t operator==(const TGeoTranslation &other) const
Is-equal operator.
Definition: TGeoMatrix.cxx:669
TGeoTranslation & operator*=(const TGeoTranslation &other)
Translation composition.
Definition: TGeoMatrix.cxx:642
virtual const Double_t * GetScale() const
Definition: TGeoMatrix.h:162
virtual void MasterToLocalBomb(const Double_t *master, Double_t *local) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix
Definition: TGeoMatrix.cxx:820
virtual void SetDy(Double_t dy)
Definition: TGeoMatrix.h:157
virtual void RotateX(Double_t angle)
Rotate about X axis of the master frame with angle expressed in degrees.
Definition: TGeoMatrix.cxx:716
TGeoTranslation operator*(const TGeoTranslation &right) const
Definition: TGeoMatrix.cxx:652
void Add(const TGeoTranslation *other)
Adding a translation to this one.
Definition: TGeoMatrix.cxx:697
virtual void LocalToMasterBomb(const Double_t *local, Double_t *master) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix inverse
Definition: TGeoMatrix.cxx:790
virtual ~TGeoTranslation()
Definition: TGeoMatrix.h:131
virtual void SetDz(Double_t dz)
Definition: TGeoMatrix.h:158
virtual void LocalToMasterVect(const Double_t *local, Double_t *master) const
convert a vector to MARS
Definition: TGeoMatrix.cxx:782
virtual void RotateZ(Double_t angle)
Rotate about Z axis of the master frame with angle expressed in degrees.
Definition: TGeoMatrix.cxx:732
virtual void MasterToLocalVect(const Double_t *master, Double_t *local) const
convert a vector from MARS to local
Definition: TGeoMatrix.cxx:812
virtual void RotateY(Double_t angle)
Rotate about Y axis of the master frame with angle expressed in degrees.
Definition: TGeoMatrix.cxx:724
virtual void SavePrimitive(std::ostream &out, Option_t *option="")
Save a primitive as a C++ statement(s) on output stream "out".
Definition: TGeoMatrix.cxx:832
void SetTranslation(Double_t dx, Double_t dy, Double_t dz)
Set translation components.
Definition: TGeoMatrix.cxx:750
TGeoTranslation & operator=(const TGeoTranslation &other)
Definition: TGeoMatrix.h:133
Double_t fTranslation[3]
Definition: TGeoMatrix.h:124
virtual void LocalToMaster(const Double_t *local, Double_t *master) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix inverse
Definition: TGeoMatrix.cxx:772
TGeoHMatrix Inverse() const
Return a temporary inverse of this.
Definition: TGeoMatrix.cxx:682
virtual TGeoMatrix * MakeClone() const
Make a clone of this matrix.
Definition: TGeoMatrix.cxx:707
TGeoTranslation()
Default constructor.
Definition: TGeoMatrix.cxx:579
void Subtract(const TGeoTranslation *other)
Subtracting a translation from this one.
Definition: TGeoMatrix.cxx:740
virtual void MasterToLocal(const Double_t *master, Double_t *local) const
convert a point by multiplying its column vector (x, y, z, 1) to matrix
Definition: TGeoMatrix.cxx:802
virtual void SetDx(Double_t dx)
Definition: TGeoMatrix.h:156
virtual const Double_t * GetRotationMatrix() const
Definition: TGeoMatrix.h:161
The TNamed class is the base class for all named ROOT classes.
Definition: TNamed.h:29
R__ALWAYS_INLINE Bool_t TestBit(UInt_t f) const
Definition: TObject.h:172
void SetBit(UInt_t f, Bool_t set)
Set or unset the user status bits as specified in f.
Definition: TObject.cxx:694
double dist(Rotation3D const &r1, Rotation3D const &r2)
Definition: 3DDistances.cxx:48