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4c039060 | 1 | /************************************************************************** |
2 | * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. * | |
3 | * * | |
4 | * Author: The ALICE Off-line Project. * | |
5 | * Contributors are mentioned in the code where appropriate. * | |
6 | * * | |
7 | * Permission to use, copy, modify and distribute this software and its * | |
8 | * documentation strictly for non-commercial purposes is hereby granted * | |
9 | * without fee, provided that the above copyright notice appears in all * | |
10 | * copies and that both the copyright notice and this permission notice * | |
11 | * appear in the supporting documentation. The authors make no claims * | |
12 | * about the suitability of this software for any purpose. It is * | |
13 | * provided "as is" without express or implied warranty. * | |
14 | **************************************************************************/ | |
15 | ||
16 | /* | |
17 | $Log$ | |
959fbac5 | 18 | Revision 1.2 1999/09/29 09:24:28 fca |
19 | Introduction of the Copyright and cvs Log | |
20 | ||
4c039060 | 21 | */ |
22 | ||
959fbac5 | 23 | /////////////////////////////////////////////////////////////////////////// |
24 | // Class Ali3Vector | |
25 | // Handling of 3-vectors in various reference frames. | |
26 | // | |
27 | // This class is meant to serve as a base class for ALICE objects | |
28 | // that have 3-dimensional vector characteristics. | |
29 | // Error propagation is performed automatically. | |
30 | // | |
31 | // Note : | |
32 | // ------ | |
33 | // Vectors (v), Errors (e) and reference frames (f) are specified via | |
34 | // SetVector(Float_t* v,TString f) | |
35 | // SetErrors(Float_t* e,TString f) | |
36 | // under the following conventions : | |
37 | // | |
38 | // f="car" ==> v in Cartesian coordinates (x,y,z) | |
39 | // f="sph" ==> v in Spherical coordinates (r,theta,phi) | |
40 | // f="cyl" ==> v in Cylindrical coordinates (rho,phi,z) | |
41 | // | |
42 | // All angles are in radians. | |
43 | // | |
44 | // Example : | |
45 | // --------- | |
46 | // | |
47 | // Ali3Vector a; | |
48 | // Float_t v[3]={-1,25,7}; | |
49 | // Float_t e[3]={0.03,0.5,0.21}; | |
50 | // a.SetVector(v,"car"); | |
51 | // a.SetErrors(e,"car"); | |
52 | // a.Info(); | |
53 | // | |
54 | // Float_t vec[3]; | |
55 | // Float_t err[3]; | |
56 | // a.GetVector(vec,"sph"); | |
57 | // a.GetErrors(vec,"sph"); | |
58 | // | |
59 | // Ali3Vector b; | |
60 | // Float_t v2[3]={6,-18,33}; | |
61 | // Float_t e2[3]={0.19,0.45,0.93}; | |
62 | // b.SetVector(v2,"car"); | |
63 | // b.SetErrors(e2,"car"); | |
64 | // | |
65 | // Float_t dotpro=a.Dot(b); | |
66 | // Float_t doterror=a.GetResultError(); | |
67 | // | |
68 | // Ali3Vector c=a.Cross(b); | |
69 | // c.Info("sph"); | |
70 | // c.GetVector(vec,"cyl"); | |
71 | // c.GetErrors(err,"cyl"); | |
72 | // | |
73 | // Float_t norm=c.GetNorm(); | |
74 | // Float_t normerror=c.GetResultError(); | |
75 | // | |
76 | // c=a+b; | |
77 | // c=a-b; | |
78 | // c=a*5; | |
79 | // | |
80 | //--- Author: Nick van Eijndhoven 30-mar-1999 UU-SAP Utrecht | |
81 | //- Modified: NvE 25-oct-1999 UU-SAP Utrecht | |
82 | /////////////////////////////////////////////////////////////////////////// | |
83 | ||
d88f97cc | 84 | #include "Ali3Vector.h" |
85 | ||
86 | ClassImp(Ali3Vector) // Class implementation to enable ROOT I/O | |
87 | ||
88 | Ali3Vector::Ali3Vector() | |
89 | { | |
90 | // Creation of an Ali3Vector object and initialisation of parameters | |
959fbac5 | 91 | // All attributes initialised to 0 |
d88f97cc | 92 | fV=0; |
93 | fTheta=0; | |
94 | fPhi=0; | |
959fbac5 | 95 | fDx=0; |
96 | fDy=0; | |
97 | fDz=0; | |
98 | fDresult=0; | |
d88f97cc | 99 | } |
100 | /////////////////////////////////////////////////////////////////////////// | |
101 | Ali3Vector::~Ali3Vector() | |
102 | { | |
103 | // Destructor to delete dynamically allocated memory | |
104 | } | |
105 | /////////////////////////////////////////////////////////////////////////// | |
106 | void Ali3Vector::SetVector(Double_t* v,TString f) | |
107 | { | |
108 | // Store vector according to reference frame f | |
959fbac5 | 109 | // All errors will be reset to 0 |
110 | fDx=0; | |
111 | fDy=0; | |
112 | fDz=0; | |
113 | fDresult=0; | |
114 | ||
d88f97cc | 115 | Double_t pi=acos(-1.); |
959fbac5 | 116 | |
d88f97cc | 117 | Int_t frame=0; |
118 | if (f == "car") frame=1; | |
119 | if (f == "sph") frame=2; | |
120 | if (f == "cyl") frame=3; | |
121 | ||
122 | Double_t x,y,z,rho,phi; | |
123 | ||
124 | switch (frame) | |
125 | { | |
126 | case 1: // Cartesian coordinates | |
127 | x=v[0]; | |
128 | y=v[1]; | |
129 | z=v[2]; | |
130 | fV=sqrt(x*x+y*y+z*z); | |
131 | fTheta=0; | |
132 | if (fV && fabs(z/fV)<=1.) | |
133 | { | |
134 | fTheta=acos(z/fV); | |
135 | } | |
136 | else | |
137 | { | |
138 | if (z<0.) fTheta=pi; | |
139 | } | |
140 | if (fTheta<0.) fTheta+=2.*pi; | |
141 | fPhi=0; | |
142 | if (x || y) fPhi=atan2(y,x); | |
143 | if (fPhi<0.) fPhi+=2.*pi; | |
144 | break; | |
145 | ||
146 | case 2: // Spherical coordinates | |
147 | fV=v[0]; | |
148 | fTheta=v[1]; | |
149 | fPhi=v[2]; | |
150 | break; | |
151 | ||
152 | case 3: // Cylindrical coordinates | |
153 | rho=v[0]; | |
154 | phi=v[1]; | |
155 | z=v[2]; | |
156 | fV=sqrt(rho*rho+z*z); | |
157 | fPhi=phi; | |
158 | if (fPhi<0.) fPhi+=2.*pi; | |
159 | fTheta=0; | |
160 | if (fV && fabs(z/fV)<=1.) | |
161 | { | |
162 | fTheta=acos(z/fV); | |
163 | } | |
164 | else | |
165 | { | |
166 | if (z<0.) fTheta=pi; | |
167 | } | |
168 | if (fTheta<0.) fTheta+=2.*pi; | |
169 | break; | |
170 | ||
171 | default: // Unsupported reference frame | |
172 | cout << "*Ali3Vector::SetVector* Unsupported frame : " << f << endl | |
173 | << " Possible frames are 'car', 'sph' and 'cyl'." << endl; | |
174 | fV=0; | |
175 | fTheta=0; | |
176 | fPhi=0; | |
177 | break; | |
178 | } | |
179 | } | |
180 | /////////////////////////////////////////////////////////////////////////// | |
181 | void Ali3Vector::GetVector(Double_t* v,TString f) | |
182 | { | |
183 | // Provide vector according to reference frame f | |
184 | Int_t frame=0; | |
185 | if (f == "car") frame=1; | |
186 | if (f == "sph") frame=2; | |
187 | if (f == "cyl") frame=3; | |
188 | ||
189 | switch (frame) | |
190 | { | |
191 | case 1: // Cartesian coordinates | |
192 | v[0]=fV*sin(fTheta)*cos(fPhi); | |
193 | v[1]=fV*sin(fTheta)*sin(fPhi); | |
194 | v[2]=fV*cos(fTheta); | |
195 | break; | |
196 | ||
197 | case 2: // Spherical coordinates | |
198 | v[0]=fV; | |
199 | v[1]=fTheta; | |
200 | v[2]=fPhi; | |
201 | break; | |
202 | ||
203 | case 3: // Cylindrical coordinates | |
204 | v[0]=fV*sin(fTheta); | |
205 | v[1]=fPhi; | |
206 | v[2]=fV*cos(fTheta); | |
207 | break; | |
208 | ||
209 | default: // Unsupported reference frame | |
210 | cout << "*Ali3Vector::GetVector* Unsupported frame : " << f << endl | |
211 | << " Possible frames are 'car', 'sph' and 'cyl'." << endl; | |
212 | for (Int_t i=0; i<3; i++) | |
213 | { | |
214 | v[i]=0; | |
215 | } | |
216 | break; | |
217 | } | |
218 | } | |
219 | /////////////////////////////////////////////////////////////////////////// | |
220 | void Ali3Vector::SetVector(Float_t* v,TString f) | |
221 | { | |
222 | // Store vector according to reference frame f | |
959fbac5 | 223 | // All errors will be reset to 0 |
d88f97cc | 224 | Double_t vec[3]; |
225 | for (Int_t i=0; i<3; i++) | |
226 | { | |
227 | vec[i]=v[i]; | |
228 | } | |
229 | SetVector(vec,f); | |
230 | } | |
231 | /////////////////////////////////////////////////////////////////////////// | |
232 | void Ali3Vector::GetVector(Float_t* v,TString f) | |
233 | { | |
234 | // Provide vector according to reference frame f | |
235 | Double_t vec[3]; | |
236 | GetVector(vec,f); | |
237 | for (Int_t i=0; i<3; i++) | |
238 | { | |
239 | v[i]=vec[i]; | |
240 | } | |
241 | } | |
242 | /////////////////////////////////////////////////////////////////////////// | |
959fbac5 | 243 | void Ali3Vector::SetErrors(Double_t* e,TString f) |
244 | { | |
245 | // Store errors according to reference frame f | |
246 | // The error on scalar results is reset to 0 | |
247 | fDresult=0; | |
248 | ||
249 | Int_t frame=0; | |
250 | if (f == "car") frame=1; | |
251 | if (f == "sph") frame=2; | |
252 | if (f == "cyl") frame=3; | |
253 | ||
254 | Double_t dx2,dy2,dz2,rho; | |
255 | ||
256 | switch (frame) | |
257 | { | |
258 | case 1: // Cartesian coordinates | |
259 | fDx=fabs(e[0]); | |
260 | fDy=fabs(e[1]); | |
261 | fDz=fabs(e[2]); | |
262 | break; | |
263 | ||
264 | case 2: // Spherical coordinates | |
265 | dx2=pow((cos(fPhi)*sin(fTheta)*e[0]),2)+pow((fV*cos(fTheta)*cos(fPhi)*e[1]),2) | |
266 | +pow((fV*sin(fTheta)*sin(fPhi)*e[2]),2); | |
267 | dy2=pow((sin(fPhi)*sin(fTheta)*e[0]),2)+pow((fV*cos(fTheta)*sin(fPhi)*e[1]),2) | |
268 | +pow((fV*sin(fTheta)*cos(fPhi)*e[2]),2); | |
269 | dz2=pow((cos(fTheta)*e[0]),2)+pow((fV*sin(fTheta)*e[1]),2); | |
270 | fDx=sqrt(dx2); | |
271 | fDy=sqrt(dy2); | |
272 | fDz=sqrt(dz2); | |
273 | break; | |
274 | ||
275 | case 3: // Cylindrical coordinates | |
276 | rho=fV*sin(fTheta); | |
277 | dx2=pow((cos(fPhi)*e[0]),2)+pow((rho*sin(fPhi)*e[1]),2); | |
278 | dy2=pow((sin(fPhi)*e[0]),2)+pow((rho*cos(fPhi)*e[1]),2); | |
279 | fDx=sqrt(dx2); | |
280 | fDy=sqrt(dy2); | |
281 | fDz=fabs(e[2]); | |
282 | break; | |
283 | ||
284 | default: // Unsupported reference frame | |
285 | cout << "*Ali3Vector::SetErrors* Unsupported frame : " << f << endl | |
286 | << " Possible frames are 'car', 'sph' and 'cyl'." << endl; | |
287 | fDx=0; | |
288 | fDy=0; | |
289 | fDz=0; | |
290 | break; | |
291 | } | |
292 | } | |
293 | /////////////////////////////////////////////////////////////////////////// | |
294 | void Ali3Vector::GetErrors(Double_t* e,TString f) | |
295 | { | |
296 | // Provide errors according to reference frame f | |
297 | Int_t frame=0; | |
298 | if (f == "car") frame=1; | |
299 | if (f == "sph") frame=2; | |
300 | if (f == "cyl") frame=3; | |
301 | ||
302 | Double_t dr2,dtheta2,dphi2,rho,drho2; | |
303 | Double_t v[3]; | |
304 | ||
305 | switch (frame) | |
306 | { | |
307 | case 1: // Cartesian coordinates | |
308 | e[0]=fDx; | |
309 | e[1]=fDy; | |
310 | e[2]=fDz; | |
311 | break; | |
312 | ||
313 | case 2: // Spherical coordinates | |
314 | GetVector(v,"car"); | |
315 | if (fV) | |
316 | { | |
317 | dr2=(pow((v[0]*fDx),2)+pow((v[1]*fDy),2)+pow((v[2]*fDz),2))/(fV*fV); | |
318 | } | |
319 | else | |
320 | { | |
321 | dr2=0; | |
322 | } | |
323 | if (v[2]-fV) | |
324 | { | |
325 | dtheta2=(v[2]*v[2]/(pow(fV,4)-pow(v[2],2)*pow(fV,2)))*dr2 | |
326 | +pow(fDz,2)/(pow(fV,2)-pow(v[2],2)); | |
327 | } | |
328 | else | |
329 | { | |
330 | // dr2=fDz*fDz; | |
331 | dtheta2=0; | |
332 | } | |
333 | if (v[0] || v[1]) | |
334 | { | |
335 | dphi2=(pow((v[1]*fDx),2)+pow((v[0]*fDy),2))/(pow(v[0],2)+pow(v[1],2)); | |
336 | } | |
337 | else | |
338 | { | |
339 | dphi2=0; | |
340 | } | |
341 | e[0]=sqrt(dr2); | |
342 | e[1]=sqrt(dtheta2); | |
343 | e[2]=sqrt(dphi2); | |
344 | break; | |
345 | ||
346 | case 3: // Cylindrical coordinates | |
347 | GetVector(v,"car"); | |
348 | rho=fV*sin(fTheta); | |
349 | if (rho) | |
350 | { | |
351 | drho2=(pow((v[0]*fDx),2)+pow((v[1]*fDy),2))/(rho*rho); | |
352 | } | |
353 | else | |
354 | { | |
355 | drho2=0; | |
356 | } | |
357 | if (v[0] || v[1]) | |
358 | { | |
359 | dphi2=(pow((v[1]*fDx),2)+pow((v[0]*fDy),2))/(pow(v[0],2)+pow(v[1],2)); | |
360 | } | |
361 | else | |
362 | { | |
363 | dphi2=0; | |
364 | } | |
365 | e[0]=sqrt(drho2); | |
366 | e[1]=sqrt(dphi2); | |
367 | e[2]=fDz; | |
368 | break; | |
369 | ||
370 | default: // Unsupported reference frame | |
371 | cout << "*Ali3Vector::GetErrors* Unsupported frame : " << f << endl | |
372 | << " Possible frames are 'car', 'sph' and 'cyl'." << endl; | |
373 | for (Int_t i=0; i<3; i++) | |
374 | { | |
375 | e[i]=0; | |
376 | } | |
377 | break; | |
378 | } | |
379 | } | |
380 | /////////////////////////////////////////////////////////////////////////// | |
381 | void Ali3Vector::SetErrors(Float_t* e,TString f) | |
382 | { | |
383 | // Store errors according to reference frame f | |
384 | // The error on scalar results is reset to 0 | |
385 | Double_t vec[3]; | |
386 | for (Int_t i=0; i<3; i++) | |
387 | { | |
388 | vec[i]=e[i]; | |
389 | } | |
390 | SetErrors(vec,f); | |
391 | } | |
392 | /////////////////////////////////////////////////////////////////////////// | |
393 | void Ali3Vector::GetErrors(Float_t* e,TString f) | |
394 | { | |
395 | // Provide errors according to reference frame f | |
396 | Double_t vec[3]; | |
397 | GetErrors(vec,f); | |
398 | for (Int_t i=0; i<3; i++) | |
399 | { | |
400 | e[i]=vec[i]; | |
401 | } | |
402 | } | |
403 | /////////////////////////////////////////////////////////////////////////// | |
d88f97cc | 404 | void Ali3Vector::Info(TString f) |
405 | { | |
406 | // Print vector components according to reference frame f | |
407 | if (f=="car" || f=="sph" || f=="cyl") | |
408 | { | |
959fbac5 | 409 | Double_t vec[3],err[3]; |
d88f97cc | 410 | GetVector(vec,f); |
959fbac5 | 411 | GetErrors(err,f); |
d88f97cc | 412 | cout << " Vector in " << f << " coordinates : " |
413 | << vec[0] << " " << vec[1] << " " << vec[2] << endl; | |
959fbac5 | 414 | cout << " Err. in " << f << " coordinates : " |
415 | << err[0] << " " << err[1] << " " << err[2] << endl; | |
d88f97cc | 416 | } |
417 | else | |
418 | { | |
419 | cout << " *Ali3Vector::Info* Unsupported frame : " << f << endl | |
420 | << " Possible frames are 'car', 'sph' and 'cyl'." << endl; | |
421 | } | |
422 | } | |
423 | /////////////////////////////////////////////////////////////////////////// | |
424 | Double_t Ali3Vector::GetNorm() | |
425 | { | |
959fbac5 | 426 | // Provide the norm of the current vector |
427 | // The error on the scalar result (norm) is updated accordingly | |
428 | Double_t e[3]; | |
429 | GetErrors(e,"sph"); | |
430 | fDresult=e[0]; | |
d88f97cc | 431 | return fV; |
432 | } | |
433 | /////////////////////////////////////////////////////////////////////////// | |
959fbac5 | 434 | Double_t Ali3Vector::GetPseudoRapidity() |
435 | { | |
436 | // Provide the pseudo-rapidity w.r.t. the z-axis. | |
437 | // In other words : eta=-log(tan(theta/2)) | |
438 | // The error on the scalar result (pseudo-rap.) is updated accordingly | |
439 | Double_t v[3]; | |
440 | GetVector(v,"sph"); | |
441 | Double_t thetahalf=v[1]/2.; | |
442 | Double_t arg=tan(thetahalf); | |
443 | Double_t eta=0; | |
444 | if (arg>0) eta=-log(arg); | |
445 | Double_t e[3]; | |
446 | GetErrors(e,"sph"); | |
447 | Double_t prod=cos(thetahalf)*sin(thetahalf); | |
448 | fDresult=0; | |
449 | if (prod) fDresult=fabs(e[1]/2.*prod); | |
450 | return eta; | |
451 | } | |
452 | /////////////////////////////////////////////////////////////////////////// | |
d88f97cc | 453 | Double_t Ali3Vector::Dot(Ali3Vector& q) |
454 | { | |
455 | // Provide the dot product of the current vector with vector q | |
959fbac5 | 456 | // The error on the scalar result (dotproduct) is updated accordingly |
457 | ||
d88f97cc | 458 | Double_t dotpro=0; |
459 | ||
959fbac5 | 460 | if ((this) == &q) // Check for special case v.Dot(v) |
d88f97cc | 461 | { |
959fbac5 | 462 | Double_t norm=GetNorm(); |
463 | Double_t dnorm=GetResultError(); | |
464 | dotpro=pow(norm,2); | |
465 | fDresult=2.*norm*dnorm; | |
d88f97cc | 466 | } |
959fbac5 | 467 | else |
468 | { | |
469 | Double_t a[3],b[3]; | |
470 | Double_t ea[3],eb[3]; | |
471 | Double_t d2=0; | |
472 | ||
473 | GetVector(a,"car"); | |
474 | GetErrors(ea,"car"); | |
475 | q.GetVector(b,"car"); | |
476 | q.GetErrors(eb,"car"); | |
477 | for (Int_t i=0; i<3; i++) | |
478 | { | |
479 | dotpro+=a[i]*b[i]; | |
480 | d2+=pow(b[i]*ea[i],2)+pow(a[i]*eb[i],2); | |
481 | } | |
482 | fDresult=sqrt(d2); | |
483 | } | |
484 | ||
d88f97cc | 485 | return dotpro; |
486 | } | |
487 | /////////////////////////////////////////////////////////////////////////// | |
959fbac5 | 488 | Double_t Ali3Vector::GetResultError() |
489 | { | |
490 | // Provide the error on the result of an operation yielding a scalar | |
491 | // E.g. GetNorm() or Dot() | |
492 | return fDresult; | |
493 | } | |
494 | /////////////////////////////////////////////////////////////////////////// | |
d88f97cc | 495 | Ali3Vector Ali3Vector::Cross(Ali3Vector& q) |
496 | { | |
497 | // Provide the cross product of the current vector with vector q | |
959fbac5 | 498 | // Error propagation is performed automatically |
d88f97cc | 499 | Double_t a[3],b[3],c[3]; |
959fbac5 | 500 | Double_t ea[3],eb[3],ec[3],d2; |
d88f97cc | 501 | |
502 | GetVector(a,"car"); | |
959fbac5 | 503 | GetErrors(ea,"car"); |
d88f97cc | 504 | q.GetVector(b,"car"); |
959fbac5 | 505 | q.GetErrors(eb,"car"); |
d88f97cc | 506 | |
507 | c[0]=a[1]*b[2]-a[2]*b[1]; | |
508 | c[1]=a[2]*b[0]-a[0]*b[2]; | |
509 | c[2]=a[0]*b[1]-a[1]*b[0]; | |
510 | ||
959fbac5 | 511 | d2=pow(b[2]*ea[1],2)+pow(a[1]*eb[2],2) |
512 | +pow(b[1]*ea[2],2)+pow(a[2]*eb[1],2); | |
513 | ec[0]=sqrt(d2); | |
514 | ||
515 | d2=pow(b[0]*ea[2],2)+pow(a[2]*eb[0],2) | |
516 | +pow(b[2]*ea[0],2)+pow(a[0]*eb[2],2); | |
517 | ec[1]=sqrt(d2); | |
518 | ||
519 | d2=pow(b[1]*ea[0],2)+pow(a[0]*eb[1],2) | |
520 | +pow(b[0]*ea[1],2)+pow(a[1]*eb[0],2); | |
521 | ec[2]=sqrt(d2); | |
522 | ||
d88f97cc | 523 | Ali3Vector v; |
524 | v.SetVector(c,"car"); | |
959fbac5 | 525 | v.SetErrors(ec,"car"); |
d88f97cc | 526 | |
527 | return v; | |
528 | } | |
529 | /////////////////////////////////////////////////////////////////////////// | |
530 | Ali3Vector Ali3Vector::operator+(Ali3Vector& q) | |
531 | { | |
532 | // Add vector q to the current vector | |
959fbac5 | 533 | // Error propagation is performed automatically |
534 | Double_t a[3],b[3],ea[3],eb[3]; | |
d88f97cc | 535 | |
536 | GetVector(a,"car"); | |
959fbac5 | 537 | GetErrors(ea,"car"); |
d88f97cc | 538 | q.GetVector(b,"car"); |
959fbac5 | 539 | q.GetErrors(eb,"car"); |
d88f97cc | 540 | |
541 | for (Int_t i=0; i<3; i++) | |
542 | { | |
543 | a[i]+=b[i]; | |
959fbac5 | 544 | ea[i]=sqrt(pow(ea[i],2)+pow(eb[i],2)); |
d88f97cc | 545 | } |
546 | ||
547 | Ali3Vector v; | |
548 | v.SetVector(a,"car"); | |
959fbac5 | 549 | v.SetErrors(ea,"car"); |
d88f97cc | 550 | |
551 | return v; | |
552 | } | |
553 | /////////////////////////////////////////////////////////////////////////// | |
554 | Ali3Vector Ali3Vector::operator-(Ali3Vector& q) | |
555 | { | |
556 | // Subtract vector q from the current vector | |
959fbac5 | 557 | // Error propagation is performed automatically |
558 | Double_t a[3],b[3],ea[3],eb[3]; | |
d88f97cc | 559 | |
560 | GetVector(a,"car"); | |
959fbac5 | 561 | GetErrors(ea,"car"); |
d88f97cc | 562 | q.GetVector(b,"car"); |
959fbac5 | 563 | q.GetErrors(eb,"car"); |
d88f97cc | 564 | |
565 | for (Int_t i=0; i<3; i++) | |
566 | { | |
567 | a[i]-=b[i]; | |
959fbac5 | 568 | ea[i]=sqrt(pow(ea[i],2)+pow(eb[i],2)); |
d88f97cc | 569 | } |
570 | ||
571 | Ali3Vector v; | |
572 | v.SetVector(a,"car"); | |
959fbac5 | 573 | v.SetErrors(ea,"car"); |
d88f97cc | 574 | |
575 | return v; | |
576 | } | |
577 | /////////////////////////////////////////////////////////////////////////// | |
578 | Ali3Vector Ali3Vector::operator*(Double_t s) | |
579 | { | |
959fbac5 | 580 | // Multiply the current vector with a scalar s. |
581 | // Error propagation is performed automatically. | |
582 | Double_t a[3],ea[3]; | |
d88f97cc | 583 | |
584 | GetVector(a,"car"); | |
959fbac5 | 585 | GetErrors(ea,"car"); |
d88f97cc | 586 | |
587 | for (Int_t i=0; i<3; i++) | |
588 | { | |
589 | a[i]*=s; | |
959fbac5 | 590 | ea[i]*=s; |
d88f97cc | 591 | } |
592 | ||
593 | Ali3Vector v; | |
594 | v.SetVector(a,"car"); | |
959fbac5 | 595 | v.SetErrors(ea,"car"); |
d88f97cc | 596 | |
597 | return v; | |
598 | } | |
599 | /////////////////////////////////////////////////////////////////////////// | |
600 | Ali3Vector Ali3Vector::operator/(Double_t s) | |
601 | { | |
602 | // Divide the current vector by a scalar s | |
959fbac5 | 603 | // Error propagation is performed automatically |
d88f97cc | 604 | |
605 | if (fabs(s)<1.e-20) // Protect against division by 0 | |
606 | { | |
607 | cout << " *Ali3Vector::/* Division by 0 detected. No action taken." << endl; | |
608 | return *this; | |
609 | } | |
610 | else | |
611 | { | |
959fbac5 | 612 | Double_t a[3],ea[3]; |
d88f97cc | 613 | |
614 | GetVector(a,"car"); | |
959fbac5 | 615 | GetErrors(ea,"car"); |
d88f97cc | 616 | |
617 | for (Int_t i=0; i<3; i++) | |
618 | { | |
619 | a[i]/=s; | |
959fbac5 | 620 | ea[i]/=s; |
d88f97cc | 621 | } |
622 | ||
623 | Ali3Vector v; | |
624 | v.SetVector(a,"car"); | |
959fbac5 | 625 | v.SetErrors(ea,"car"); |
d88f97cc | 626 | |
627 | return v; | |
628 | } | |
629 | } | |
630 | /////////////////////////////////////////////////////////////////////////// | |
631 | Ali3Vector& Ali3Vector::operator+=(Ali3Vector& q) | |
632 | { | |
633 | // Add vector q to the current vector | |
959fbac5 | 634 | // Error propagation is performed automatically |
635 | Double_t a[3],b[3],ea[3],eb[3]; | |
d88f97cc | 636 | |
637 | GetVector(a,"car"); | |
959fbac5 | 638 | GetErrors(ea,"car"); |
d88f97cc | 639 | q.GetVector(b,"car"); |
959fbac5 | 640 | q.GetErrors(eb,"car"); |
d88f97cc | 641 | |
642 | for (Int_t i=0; i<3; i++) | |
643 | { | |
644 | a[i]+=b[i]; | |
959fbac5 | 645 | ea[i]=sqrt(pow(ea[i],2)+pow(eb[i],2)); |
d88f97cc | 646 | } |
647 | ||
648 | SetVector(a,"car"); | |
959fbac5 | 649 | SetErrors(ea,"car"); |
d88f97cc | 650 | |
651 | return *this; | |
652 | } | |
653 | /////////////////////////////////////////////////////////////////////////// | |
654 | Ali3Vector& Ali3Vector::operator-=(Ali3Vector& q) | |
655 | { | |
656 | // Subtract vector q from the current vector | |
959fbac5 | 657 | // Error propagation is performed automatically |
658 | Double_t a[3],b[3],ea[3],eb[3]; | |
d88f97cc | 659 | |
660 | GetVector(a,"car"); | |
959fbac5 | 661 | GetErrors(ea,"car"); |
d88f97cc | 662 | q.GetVector(b,"car"); |
959fbac5 | 663 | q.GetErrors(eb,"car"); |
d88f97cc | 664 | |
665 | for (Int_t i=0; i<3; i++) | |
666 | { | |
667 | a[i]-=b[i]; | |
959fbac5 | 668 | ea[i]=sqrt(pow(ea[i],2)+pow(eb[i],2)); |
d88f97cc | 669 | } |
670 | ||
671 | SetVector(a,"car"); | |
959fbac5 | 672 | SetErrors(ea,"car"); |
d88f97cc | 673 | |
674 | return *this; | |
675 | } | |
676 | /////////////////////////////////////////////////////////////////////////// | |
677 | Ali3Vector& Ali3Vector::operator*=(Double_t s) | |
678 | { | |
679 | // Multiply the current vector with a scalar s | |
959fbac5 | 680 | // Error propagation is performed automatically |
681 | Double_t a[3],ea[3]; | |
d88f97cc | 682 | |
683 | GetVector(a,"car"); | |
959fbac5 | 684 | GetErrors(ea,"car"); |
d88f97cc | 685 | |
686 | for (Int_t i=0; i<3; i++) | |
687 | { | |
688 | a[i]*=s; | |
959fbac5 | 689 | ea[i]*=s; |
d88f97cc | 690 | } |
691 | ||
692 | SetVector(a,"car"); | |
959fbac5 | 693 | SetErrors(ea,"car"); |
d88f97cc | 694 | |
695 | return *this; | |
696 | } | |
697 | /////////////////////////////////////////////////////////////////////////// | |
698 | Ali3Vector& Ali3Vector::operator/=(Double_t s) | |
699 | { | |
700 | // Divide the current vector by a scalar s | |
959fbac5 | 701 | // Error propagation is performed automatically |
d88f97cc | 702 | |
703 | if (fabs(s)<1.e-20) // Protect against division by 0 | |
704 | { | |
705 | cout << " *Ali3Vector::/=* Division by 0 detected. No action taken." << endl; | |
706 | return *this; | |
707 | } | |
708 | else | |
709 | { | |
959fbac5 | 710 | Double_t a[3],ea[3]; |
d88f97cc | 711 | |
712 | GetVector(a,"car"); | |
959fbac5 | 713 | GetErrors(ea,"car"); |
d88f97cc | 714 | |
715 | for (Int_t i=0; i<3; i++) | |
716 | { | |
717 | a[i]/=s; | |
959fbac5 | 718 | ea[i]/=s; |
d88f97cc | 719 | } |
720 | ||
721 | SetVector(a,"car"); | |
959fbac5 | 722 | SetErrors(ea,"car"); |
d88f97cc | 723 | |
724 | return *this; | |
725 | } | |
726 | } | |
727 | /////////////////////////////////////////////////////////////////////////// |