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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 | ||
f531a546 | 16 | // $Id$ |
4c039060 | 17 | |
959fbac5 | 18 | /////////////////////////////////////////////////////////////////////////// |
19 | // Class Ali3Vector | |
20 | // Handling of 3-vectors in various reference frames. | |
21 | // | |
22 | // This class is meant to serve as a base class for ALICE objects | |
23 | // that have 3-dimensional vector characteristics. | |
24 | // Error propagation is performed automatically. | |
25 | // | |
26 | // Note : | |
27 | // ------ | |
28 | // Vectors (v), Errors (e) and reference frames (f) are specified via | |
29 | // SetVector(Float_t* v,TString f) | |
30 | // SetErrors(Float_t* e,TString f) | |
31 | // under the following conventions : | |
32 | // | |
33 | // f="car" ==> v in Cartesian coordinates (x,y,z) | |
34 | // f="sph" ==> v in Spherical coordinates (r,theta,phi) | |
35 | // f="cyl" ==> v in Cylindrical coordinates (rho,phi,z) | |
36 | // | |
37 | // All angles are in radians. | |
38 | // | |
39 | // Example : | |
40 | // --------- | |
41 | // | |
42 | // Ali3Vector a; | |
43 | // Float_t v[3]={-1,25,7}; | |
44 | // Float_t e[3]={0.03,0.5,0.21}; | |
45 | // a.SetVector(v,"car"); | |
46 | // a.SetErrors(e,"car"); | |
84bb7c66 | 47 | // a.Data(); |
959fbac5 | 48 | // |
49 | // Float_t vec[3]; | |
50 | // Float_t err[3]; | |
51 | // a.GetVector(vec,"sph"); | |
52 | // a.GetErrors(vec,"sph"); | |
53 | // | |
54 | // Ali3Vector b; | |
55 | // Float_t v2[3]={6,-18,33}; | |
56 | // Float_t e2[3]={0.19,0.45,0.93}; | |
57 | // b.SetVector(v2,"car"); | |
58 | // b.SetErrors(e2,"car"); | |
59 | // | |
60 | // Float_t dotpro=a.Dot(b); | |
61 | // Float_t doterror=a.GetResultError(); | |
62 | // | |
63 | // Ali3Vector c=a.Cross(b); | |
84bb7c66 | 64 | // c.Data("sph"); |
959fbac5 | 65 | // c.GetVector(vec,"cyl"); |
66 | // c.GetErrors(err,"cyl"); | |
67 | // | |
68 | // Float_t norm=c.GetNorm(); | |
69 | // Float_t normerror=c.GetResultError(); | |
70 | // | |
71 | // c=a+b; | |
72 | // c=a-b; | |
73 | // c=a*5; | |
74 | // | |
75 | //--- Author: Nick van Eijndhoven 30-mar-1999 UU-SAP Utrecht | |
f531a546 | 76 | //- Modified: NvE $Date$ UU-SAP Utrecht |
959fbac5 | 77 | /////////////////////////////////////////////////////////////////////////// |
78 | ||
d88f97cc | 79 | #include "Ali3Vector.h" |
80 | ||
81 | ClassImp(Ali3Vector) // Class implementation to enable ROOT I/O | |
82 | ||
83 | Ali3Vector::Ali3Vector() | |
84 | { | |
85 | // Creation of an Ali3Vector object and initialisation of parameters | |
959fbac5 | 86 | // All attributes initialised to 0 |
d88f97cc | 87 | fV=0; |
88 | fTheta=0; | |
89 | fPhi=0; | |
959fbac5 | 90 | fDx=0; |
91 | fDy=0; | |
92 | fDz=0; | |
93 | fDresult=0; | |
d88f97cc | 94 | } |
95 | /////////////////////////////////////////////////////////////////////////// | |
96 | Ali3Vector::~Ali3Vector() | |
97 | { | |
98 | // Destructor to delete dynamically allocated memory | |
99 | } | |
100 | /////////////////////////////////////////////////////////////////////////// | |
101 | void Ali3Vector::SetVector(Double_t* v,TString f) | |
102 | { | |
103 | // Store vector according to reference frame f | |
959fbac5 | 104 | // All errors will be reset to 0 |
105 | fDx=0; | |
106 | fDy=0; | |
107 | fDz=0; | |
108 | fDresult=0; | |
109 | ||
d88f97cc | 110 | Double_t pi=acos(-1.); |
959fbac5 | 111 | |
d88f97cc | 112 | Int_t frame=0; |
113 | if (f == "car") frame=1; | |
114 | if (f == "sph") frame=2; | |
115 | if (f == "cyl") frame=3; | |
116 | ||
117 | Double_t x,y,z,rho,phi; | |
118 | ||
119 | switch (frame) | |
120 | { | |
121 | case 1: // Cartesian coordinates | |
122 | x=v[0]; | |
123 | y=v[1]; | |
124 | z=v[2]; | |
125 | fV=sqrt(x*x+y*y+z*z); | |
126 | fTheta=0; | |
127 | if (fV && fabs(z/fV)<=1.) | |
128 | { | |
129 | fTheta=acos(z/fV); | |
130 | } | |
131 | else | |
132 | { | |
133 | if (z<0.) fTheta=pi; | |
134 | } | |
135 | if (fTheta<0.) fTheta+=2.*pi; | |
136 | fPhi=0; | |
137 | if (x || y) fPhi=atan2(y,x); | |
138 | if (fPhi<0.) fPhi+=2.*pi; | |
139 | break; | |
140 | ||
141 | case 2: // Spherical coordinates | |
142 | fV=v[0]; | |
143 | fTheta=v[1]; | |
144 | fPhi=v[2]; | |
145 | break; | |
146 | ||
147 | case 3: // Cylindrical coordinates | |
148 | rho=v[0]; | |
149 | phi=v[1]; | |
150 | z=v[2]; | |
151 | fV=sqrt(rho*rho+z*z); | |
152 | fPhi=phi; | |
153 | if (fPhi<0.) fPhi+=2.*pi; | |
154 | fTheta=0; | |
155 | if (fV && fabs(z/fV)<=1.) | |
156 | { | |
157 | fTheta=acos(z/fV); | |
158 | } | |
159 | else | |
160 | { | |
161 | if (z<0.) fTheta=pi; | |
162 | } | |
163 | if (fTheta<0.) fTheta+=2.*pi; | |
164 | break; | |
165 | ||
166 | default: // Unsupported reference frame | |
167 | cout << "*Ali3Vector::SetVector* Unsupported frame : " << f << endl | |
168 | << " Possible frames are 'car', 'sph' and 'cyl'." << endl; | |
169 | fV=0; | |
170 | fTheta=0; | |
171 | fPhi=0; | |
172 | break; | |
173 | } | |
174 | } | |
175 | /////////////////////////////////////////////////////////////////////////// | |
176 | void Ali3Vector::GetVector(Double_t* v,TString f) | |
177 | { | |
178 | // Provide vector according to reference frame f | |
179 | Int_t frame=0; | |
180 | if (f == "car") frame=1; | |
181 | if (f == "sph") frame=2; | |
182 | if (f == "cyl") frame=3; | |
183 | ||
184 | switch (frame) | |
185 | { | |
186 | case 1: // Cartesian coordinates | |
187 | v[0]=fV*sin(fTheta)*cos(fPhi); | |
188 | v[1]=fV*sin(fTheta)*sin(fPhi); | |
189 | v[2]=fV*cos(fTheta); | |
190 | break; | |
191 | ||
192 | case 2: // Spherical coordinates | |
193 | v[0]=fV; | |
194 | v[1]=fTheta; | |
195 | v[2]=fPhi; | |
196 | break; | |
197 | ||
198 | case 3: // Cylindrical coordinates | |
199 | v[0]=fV*sin(fTheta); | |
200 | v[1]=fPhi; | |
201 | v[2]=fV*cos(fTheta); | |
202 | break; | |
203 | ||
204 | default: // Unsupported reference frame | |
205 | cout << "*Ali3Vector::GetVector* Unsupported frame : " << f << endl | |
206 | << " Possible frames are 'car', 'sph' and 'cyl'." << endl; | |
207 | for (Int_t i=0; i<3; i++) | |
208 | { | |
209 | v[i]=0; | |
210 | } | |
211 | break; | |
212 | } | |
213 | } | |
214 | /////////////////////////////////////////////////////////////////////////// | |
215 | void Ali3Vector::SetVector(Float_t* v,TString f) | |
216 | { | |
217 | // Store vector according to reference frame f | |
959fbac5 | 218 | // All errors will be reset to 0 |
d88f97cc | 219 | Double_t vec[3]; |
220 | for (Int_t i=0; i<3; i++) | |
221 | { | |
222 | vec[i]=v[i]; | |
223 | } | |
224 | SetVector(vec,f); | |
225 | } | |
226 | /////////////////////////////////////////////////////////////////////////// | |
227 | void Ali3Vector::GetVector(Float_t* v,TString f) | |
228 | { | |
229 | // Provide vector according to reference frame f | |
230 | Double_t vec[3]; | |
231 | GetVector(vec,f); | |
232 | for (Int_t i=0; i<3; i++) | |
233 | { | |
234 | v[i]=vec[i]; | |
235 | } | |
236 | } | |
237 | /////////////////////////////////////////////////////////////////////////// | |
959fbac5 | 238 | void Ali3Vector::SetErrors(Double_t* e,TString f) |
239 | { | |
240 | // Store errors according to reference frame f | |
241 | // The error on scalar results is reset to 0 | |
242 | fDresult=0; | |
243 | ||
244 | Int_t frame=0; | |
245 | if (f == "car") frame=1; | |
246 | if (f == "sph") frame=2; | |
247 | if (f == "cyl") frame=3; | |
248 | ||
249 | Double_t dx2,dy2,dz2,rho; | |
250 | ||
251 | switch (frame) | |
252 | { | |
253 | case 1: // Cartesian coordinates | |
254 | fDx=fabs(e[0]); | |
255 | fDy=fabs(e[1]); | |
256 | fDz=fabs(e[2]); | |
257 | break; | |
258 | ||
259 | case 2: // Spherical coordinates | |
260 | dx2=pow((cos(fPhi)*sin(fTheta)*e[0]),2)+pow((fV*cos(fTheta)*cos(fPhi)*e[1]),2) | |
261 | +pow((fV*sin(fTheta)*sin(fPhi)*e[2]),2); | |
262 | dy2=pow((sin(fPhi)*sin(fTheta)*e[0]),2)+pow((fV*cos(fTheta)*sin(fPhi)*e[1]),2) | |
263 | +pow((fV*sin(fTheta)*cos(fPhi)*e[2]),2); | |
264 | dz2=pow((cos(fTheta)*e[0]),2)+pow((fV*sin(fTheta)*e[1]),2); | |
265 | fDx=sqrt(dx2); | |
266 | fDy=sqrt(dy2); | |
267 | fDz=sqrt(dz2); | |
268 | break; | |
269 | ||
270 | case 3: // Cylindrical coordinates | |
271 | rho=fV*sin(fTheta); | |
272 | dx2=pow((cos(fPhi)*e[0]),2)+pow((rho*sin(fPhi)*e[1]),2); | |
273 | dy2=pow((sin(fPhi)*e[0]),2)+pow((rho*cos(fPhi)*e[1]),2); | |
274 | fDx=sqrt(dx2); | |
275 | fDy=sqrt(dy2); | |
276 | fDz=fabs(e[2]); | |
277 | break; | |
278 | ||
279 | default: // Unsupported reference frame | |
280 | cout << "*Ali3Vector::SetErrors* Unsupported frame : " << f << endl | |
281 | << " Possible frames are 'car', 'sph' and 'cyl'." << endl; | |
282 | fDx=0; | |
283 | fDy=0; | |
284 | fDz=0; | |
285 | break; | |
286 | } | |
287 | } | |
288 | /////////////////////////////////////////////////////////////////////////// | |
289 | void Ali3Vector::GetErrors(Double_t* e,TString f) | |
290 | { | |
291 | // Provide errors according to reference frame f | |
292 | Int_t frame=0; | |
293 | if (f == "car") frame=1; | |
294 | if (f == "sph") frame=2; | |
295 | if (f == "cyl") frame=3; | |
296 | ||
d071d629 | 297 | Double_t pi=acos(-1.); |
298 | ||
959fbac5 | 299 | Double_t dr2,dtheta2,dphi2,rho,drho2; |
300 | Double_t v[3]; | |
d071d629 | 301 | Double_t rxy2; // Shorthand for (x*x+y*y) |
959fbac5 | 302 | |
303 | switch (frame) | |
304 | { | |
305 | case 1: // Cartesian coordinates | |
306 | e[0]=fDx; | |
307 | e[1]=fDy; | |
308 | e[2]=fDz; | |
309 | break; | |
310 | ||
311 | case 2: // Spherical coordinates | |
312 | GetVector(v,"car"); | |
d071d629 | 313 | rxy2=pow(v[0],2)+pow(v[1],2); |
314 | if (sqrt(rxy2)<(fV*1e-10)) rxy2=0; | |
959fbac5 | 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 | } | |
d071d629 | 323 | if (fV) |
959fbac5 | 324 | { |
d071d629 | 325 | dtheta2=rxy2*pow(fDz,2)/pow(fV,4); |
326 | if (v[2] && rxy2) | |
327 | { | |
328 | dtheta2+=rxy2*pow(v[2],2)*(pow((v[0]*fDx),2)+pow((v[1]*fDy),2)) / | |
81508922 | 329 | pow(((pow(v[2],2)*rxy2)+pow(rxy2,2)),2); |
d071d629 | 330 | } |
959fbac5 | 331 | } |
332 | else | |
333 | { | |
959fbac5 | 334 | dtheta2=0; |
335 | } | |
d071d629 | 336 | if (rxy2) |
959fbac5 | 337 | { |
d071d629 | 338 | dphi2=(pow((v[1]*fDx),2)+pow((v[0]*fDy),2))/(pow(rxy2,2)); |
959fbac5 | 339 | } |
340 | else | |
341 | { | |
342 | dphi2=0; | |
343 | } | |
344 | e[0]=sqrt(dr2); | |
345 | e[1]=sqrt(dtheta2); | |
d071d629 | 346 | if (e[1]>pi) e[1]=pi; |
959fbac5 | 347 | e[2]=sqrt(dphi2); |
d071d629 | 348 | if (e[2]>(2.*pi)) e[2]=2.*pi; |
959fbac5 | 349 | break; |
350 | ||
351 | case 3: // Cylindrical coordinates | |
352 | GetVector(v,"car"); | |
d071d629 | 353 | rho=fabs(fV*sin(fTheta)); |
354 | if (rho<(fV*1e-10)) rho=0; | |
959fbac5 | 355 | if (rho) |
356 | { | |
357 | drho2=(pow((v[0]*fDx),2)+pow((v[1]*fDy),2))/(rho*rho); | |
358 | } | |
359 | else | |
360 | { | |
361 | drho2=0; | |
362 | } | |
d071d629 | 363 | if (rho) |
959fbac5 | 364 | { |
d071d629 | 365 | dphi2=(pow((v[1]*fDx),2)+pow((v[0]*fDy),2))/(pow(rho,4)); |
959fbac5 | 366 | } |
367 | else | |
368 | { | |
369 | dphi2=0; | |
370 | } | |
371 | e[0]=sqrt(drho2); | |
372 | e[1]=sqrt(dphi2); | |
d071d629 | 373 | if (e[1]>(2.*pi)) e[1]=2.*pi; |
959fbac5 | 374 | e[2]=fDz; |
375 | break; | |
376 | ||
377 | default: // Unsupported reference frame | |
378 | cout << "*Ali3Vector::GetErrors* Unsupported frame : " << f << endl | |
379 | << " Possible frames are 'car', 'sph' and 'cyl'." << endl; | |
380 | for (Int_t i=0; i<3; i++) | |
381 | { | |
382 | e[i]=0; | |
383 | } | |
384 | break; | |
385 | } | |
386 | } | |
387 | /////////////////////////////////////////////////////////////////////////// | |
388 | void Ali3Vector::SetErrors(Float_t* e,TString f) | |
389 | { | |
390 | // Store errors according to reference frame f | |
391 | // The error on scalar results is reset to 0 | |
392 | Double_t vec[3]; | |
393 | for (Int_t i=0; i<3; i++) | |
394 | { | |
395 | vec[i]=e[i]; | |
396 | } | |
397 | SetErrors(vec,f); | |
398 | } | |
399 | /////////////////////////////////////////////////////////////////////////// | |
400 | void Ali3Vector::GetErrors(Float_t* e,TString f) | |
401 | { | |
402 | // Provide errors according to reference frame f | |
403 | Double_t vec[3]; | |
404 | GetErrors(vec,f); | |
405 | for (Int_t i=0; i<3; i++) | |
406 | { | |
407 | e[i]=vec[i]; | |
408 | } | |
409 | } | |
410 | /////////////////////////////////////////////////////////////////////////// | |
84bb7c66 | 411 | void Ali3Vector::Data(TString f) |
d88f97cc | 412 | { |
413 | // Print vector components according to reference frame f | |
414 | if (f=="car" || f=="sph" || f=="cyl") | |
415 | { | |
959fbac5 | 416 | Double_t vec[3],err[3]; |
d88f97cc | 417 | GetVector(vec,f); |
959fbac5 | 418 | GetErrors(err,f); |
d88f97cc | 419 | cout << " Vector in " << f << " coordinates : " |
420 | << vec[0] << " " << vec[1] << " " << vec[2] << endl; | |
959fbac5 | 421 | cout << " Err. in " << f << " coordinates : " |
422 | << err[0] << " " << err[1] << " " << err[2] << endl; | |
d88f97cc | 423 | } |
424 | else | |
425 | { | |
84bb7c66 | 426 | cout << " *Ali3Vector::Data* Unsupported frame : " << f << endl |
d88f97cc | 427 | << " Possible frames are 'car', 'sph' and 'cyl'." << endl; |
428 | } | |
429 | } | |
430 | /////////////////////////////////////////////////////////////////////////// | |
431 | Double_t Ali3Vector::GetNorm() | |
432 | { | |
959fbac5 | 433 | // Provide the norm of the current vector |
434 | // The error on the scalar result (norm) is updated accordingly | |
435 | Double_t e[3]; | |
436 | GetErrors(e,"sph"); | |
437 | fDresult=e[0]; | |
d88f97cc | 438 | return fV; |
439 | } | |
440 | /////////////////////////////////////////////////////////////////////////// | |
959fbac5 | 441 | Double_t Ali3Vector::GetPseudoRapidity() |
442 | { | |
443 | // Provide the pseudo-rapidity w.r.t. the z-axis. | |
444 | // In other words : eta=-log(tan(theta/2)) | |
445 | // The error on the scalar result (pseudo-rap.) is updated accordingly | |
8adaf597 | 446 | Double_t pi=acos(-1.); |
959fbac5 | 447 | Double_t v[3]; |
448 | GetVector(v,"sph"); | |
449 | Double_t thetahalf=v[1]/2.; | |
8adaf597 | 450 | Double_t arg=0; |
451 | if (v[1]<pi) arg=tan(thetahalf); | |
452 | Double_t eta=9999; | |
959fbac5 | 453 | if (arg>0) eta=-log(arg); |
454 | Double_t e[3]; | |
455 | GetErrors(e,"sph"); | |
456 | Double_t prod=cos(thetahalf)*sin(thetahalf); | |
457 | fDresult=0; | |
458 | if (prod) fDresult=fabs(e[1]/2.*prod); | |
459 | return eta; | |
460 | } | |
461 | /////////////////////////////////////////////////////////////////////////// | |
d88f97cc | 462 | Double_t Ali3Vector::Dot(Ali3Vector& q) |
463 | { | |
464 | // Provide the dot product of the current vector with vector q | |
959fbac5 | 465 | // The error on the scalar result (dotproduct) is updated accordingly |
466 | ||
d88f97cc | 467 | Double_t dotpro=0; |
468 | ||
959fbac5 | 469 | if ((this) == &q) // Check for special case v.Dot(v) |
d88f97cc | 470 | { |
959fbac5 | 471 | Double_t norm=GetNorm(); |
472 | Double_t dnorm=GetResultError(); | |
473 | dotpro=pow(norm,2); | |
474 | fDresult=2.*norm*dnorm; | |
d88f97cc | 475 | } |
959fbac5 | 476 | else |
477 | { | |
478 | Double_t a[3],b[3]; | |
479 | Double_t ea[3],eb[3]; | |
480 | Double_t d2=0; | |
481 | ||
482 | GetVector(a,"car"); | |
483 | GetErrors(ea,"car"); | |
484 | q.GetVector(b,"car"); | |
485 | q.GetErrors(eb,"car"); | |
486 | for (Int_t i=0; i<3; i++) | |
487 | { | |
488 | dotpro+=a[i]*b[i]; | |
489 | d2+=pow(b[i]*ea[i],2)+pow(a[i]*eb[i],2); | |
490 | } | |
491 | fDresult=sqrt(d2); | |
492 | } | |
493 | ||
d88f97cc | 494 | return dotpro; |
495 | } | |
496 | /////////////////////////////////////////////////////////////////////////// | |
959fbac5 | 497 | Double_t Ali3Vector::GetResultError() |
498 | { | |
499 | // Provide the error on the result of an operation yielding a scalar | |
500 | // E.g. GetNorm() or Dot() | |
501 | return fDresult; | |
502 | } | |
503 | /////////////////////////////////////////////////////////////////////////// | |
d88f97cc | 504 | Ali3Vector Ali3Vector::Cross(Ali3Vector& q) |
505 | { | |
506 | // Provide the cross product of the current vector with vector q | |
959fbac5 | 507 | // Error propagation is performed automatically |
d88f97cc | 508 | Double_t a[3],b[3],c[3]; |
959fbac5 | 509 | Double_t ea[3],eb[3],ec[3],d2; |
d88f97cc | 510 | |
511 | GetVector(a,"car"); | |
959fbac5 | 512 | GetErrors(ea,"car"); |
d88f97cc | 513 | q.GetVector(b,"car"); |
959fbac5 | 514 | q.GetErrors(eb,"car"); |
d88f97cc | 515 | |
516 | c[0]=a[1]*b[2]-a[2]*b[1]; | |
517 | c[1]=a[2]*b[0]-a[0]*b[2]; | |
518 | c[2]=a[0]*b[1]-a[1]*b[0]; | |
519 | ||
959fbac5 | 520 | d2=pow(b[2]*ea[1],2)+pow(a[1]*eb[2],2) |
521 | +pow(b[1]*ea[2],2)+pow(a[2]*eb[1],2); | |
522 | ec[0]=sqrt(d2); | |
523 | ||
524 | d2=pow(b[0]*ea[2],2)+pow(a[2]*eb[0],2) | |
525 | +pow(b[2]*ea[0],2)+pow(a[0]*eb[2],2); | |
526 | ec[1]=sqrt(d2); | |
527 | ||
528 | d2=pow(b[1]*ea[0],2)+pow(a[0]*eb[1],2) | |
529 | +pow(b[0]*ea[1],2)+pow(a[1]*eb[0],2); | |
530 | ec[2]=sqrt(d2); | |
531 | ||
d88f97cc | 532 | Ali3Vector v; |
533 | v.SetVector(c,"car"); | |
959fbac5 | 534 | v.SetErrors(ec,"car"); |
d88f97cc | 535 | |
536 | return v; | |
537 | } | |
538 | /////////////////////////////////////////////////////////////////////////// | |
539 | Ali3Vector Ali3Vector::operator+(Ali3Vector& q) | |
540 | { | |
541 | // Add vector q to the current vector | |
959fbac5 | 542 | // Error propagation is performed automatically |
543 | Double_t a[3],b[3],ea[3],eb[3]; | |
d88f97cc | 544 | |
545 | GetVector(a,"car"); | |
959fbac5 | 546 | GetErrors(ea,"car"); |
d88f97cc | 547 | q.GetVector(b,"car"); |
959fbac5 | 548 | q.GetErrors(eb,"car"); |
d88f97cc | 549 | |
550 | for (Int_t i=0; i<3; i++) | |
551 | { | |
552 | a[i]+=b[i]; | |
959fbac5 | 553 | ea[i]=sqrt(pow(ea[i],2)+pow(eb[i],2)); |
d88f97cc | 554 | } |
555 | ||
556 | Ali3Vector v; | |
557 | v.SetVector(a,"car"); | |
959fbac5 | 558 | v.SetErrors(ea,"car"); |
d88f97cc | 559 | |
560 | return v; | |
561 | } | |
562 | /////////////////////////////////////////////////////////////////////////// | |
563 | Ali3Vector Ali3Vector::operator-(Ali3Vector& q) | |
564 | { | |
565 | // Subtract vector q from the current vector | |
959fbac5 | 566 | // Error propagation is performed automatically |
567 | Double_t a[3],b[3],ea[3],eb[3]; | |
d88f97cc | 568 | |
569 | GetVector(a,"car"); | |
959fbac5 | 570 | GetErrors(ea,"car"); |
d88f97cc | 571 | q.GetVector(b,"car"); |
959fbac5 | 572 | q.GetErrors(eb,"car"); |
d88f97cc | 573 | |
574 | for (Int_t i=0; i<3; i++) | |
575 | { | |
576 | a[i]-=b[i]; | |
959fbac5 | 577 | ea[i]=sqrt(pow(ea[i],2)+pow(eb[i],2)); |
d88f97cc | 578 | } |
579 | ||
580 | Ali3Vector v; | |
581 | v.SetVector(a,"car"); | |
959fbac5 | 582 | v.SetErrors(ea,"car"); |
d88f97cc | 583 | |
584 | return v; | |
585 | } | |
586 | /////////////////////////////////////////////////////////////////////////// | |
587 | Ali3Vector Ali3Vector::operator*(Double_t s) | |
588 | { | |
959fbac5 | 589 | // Multiply the current vector with a scalar s. |
590 | // Error propagation is performed automatically. | |
591 | Double_t a[3],ea[3]; | |
d88f97cc | 592 | |
593 | GetVector(a,"car"); | |
959fbac5 | 594 | GetErrors(ea,"car"); |
d88f97cc | 595 | |
596 | for (Int_t i=0; i<3; i++) | |
597 | { | |
598 | a[i]*=s; | |
959fbac5 | 599 | ea[i]*=s; |
d88f97cc | 600 | } |
601 | ||
602 | Ali3Vector v; | |
603 | v.SetVector(a,"car"); | |
959fbac5 | 604 | v.SetErrors(ea,"car"); |
d88f97cc | 605 | |
606 | return v; | |
607 | } | |
608 | /////////////////////////////////////////////////////////////////////////// | |
609 | Ali3Vector Ali3Vector::operator/(Double_t s) | |
610 | { | |
611 | // Divide the current vector by a scalar s | |
959fbac5 | 612 | // Error propagation is performed automatically |
d88f97cc | 613 | |
614 | if (fabs(s)<1.e-20) // Protect against division by 0 | |
615 | { | |
616 | cout << " *Ali3Vector::/* Division by 0 detected. No action taken." << endl; | |
617 | return *this; | |
618 | } | |
619 | else | |
620 | { | |
959fbac5 | 621 | Double_t a[3],ea[3]; |
d88f97cc | 622 | |
623 | GetVector(a,"car"); | |
959fbac5 | 624 | GetErrors(ea,"car"); |
d88f97cc | 625 | |
626 | for (Int_t i=0; i<3; i++) | |
627 | { | |
628 | a[i]/=s; | |
959fbac5 | 629 | ea[i]/=s; |
d88f97cc | 630 | } |
631 | ||
632 | Ali3Vector v; | |
633 | v.SetVector(a,"car"); | |
959fbac5 | 634 | v.SetErrors(ea,"car"); |
d88f97cc | 635 | |
636 | return v; | |
637 | } | |
638 | } | |
639 | /////////////////////////////////////////////////////////////////////////// | |
640 | Ali3Vector& Ali3Vector::operator+=(Ali3Vector& q) | |
641 | { | |
642 | // Add vector q to the current vector | |
959fbac5 | 643 | // Error propagation is performed automatically |
644 | Double_t a[3],b[3],ea[3],eb[3]; | |
d88f97cc | 645 | |
646 | GetVector(a,"car"); | |
959fbac5 | 647 | GetErrors(ea,"car"); |
d88f97cc | 648 | q.GetVector(b,"car"); |
959fbac5 | 649 | q.GetErrors(eb,"car"); |
d88f97cc | 650 | |
651 | for (Int_t i=0; i<3; i++) | |
652 | { | |
653 | a[i]+=b[i]; | |
959fbac5 | 654 | ea[i]=sqrt(pow(ea[i],2)+pow(eb[i],2)); |
d88f97cc | 655 | } |
656 | ||
657 | SetVector(a,"car"); | |
959fbac5 | 658 | SetErrors(ea,"car"); |
d88f97cc | 659 | |
660 | return *this; | |
661 | } | |
662 | /////////////////////////////////////////////////////////////////////////// | |
663 | Ali3Vector& Ali3Vector::operator-=(Ali3Vector& q) | |
664 | { | |
665 | // Subtract vector q from the current vector | |
959fbac5 | 666 | // Error propagation is performed automatically |
667 | Double_t a[3],b[3],ea[3],eb[3]; | |
d88f97cc | 668 | |
669 | GetVector(a,"car"); | |
959fbac5 | 670 | GetErrors(ea,"car"); |
d88f97cc | 671 | q.GetVector(b,"car"); |
959fbac5 | 672 | q.GetErrors(eb,"car"); |
d88f97cc | 673 | |
674 | for (Int_t i=0; i<3; i++) | |
675 | { | |
676 | a[i]-=b[i]; | |
959fbac5 | 677 | ea[i]=sqrt(pow(ea[i],2)+pow(eb[i],2)); |
d88f97cc | 678 | } |
679 | ||
680 | SetVector(a,"car"); | |
959fbac5 | 681 | SetErrors(ea,"car"); |
d88f97cc | 682 | |
683 | return *this; | |
684 | } | |
685 | /////////////////////////////////////////////////////////////////////////// | |
686 | Ali3Vector& Ali3Vector::operator*=(Double_t s) | |
687 | { | |
688 | // Multiply the current vector with a scalar s | |
959fbac5 | 689 | // Error propagation is performed automatically |
690 | Double_t a[3],ea[3]; | |
d88f97cc | 691 | |
692 | GetVector(a,"car"); | |
959fbac5 | 693 | GetErrors(ea,"car"); |
d88f97cc | 694 | |
695 | for (Int_t i=0; i<3; i++) | |
696 | { | |
697 | a[i]*=s; | |
959fbac5 | 698 | ea[i]*=s; |
d88f97cc | 699 | } |
700 | ||
701 | SetVector(a,"car"); | |
959fbac5 | 702 | SetErrors(ea,"car"); |
d88f97cc | 703 | |
704 | return *this; | |
705 | } | |
706 | /////////////////////////////////////////////////////////////////////////// | |
707 | Ali3Vector& Ali3Vector::operator/=(Double_t s) | |
708 | { | |
709 | // Divide the current vector by a scalar s | |
959fbac5 | 710 | // Error propagation is performed automatically |
d88f97cc | 711 | |
712 | if (fabs(s)<1.e-20) // Protect against division by 0 | |
713 | { | |
714 | cout << " *Ali3Vector::/=* Division by 0 detected. No action taken." << endl; | |
715 | return *this; | |
716 | } | |
717 | else | |
718 | { | |
959fbac5 | 719 | Double_t a[3],ea[3]; |
d88f97cc | 720 | |
721 | GetVector(a,"car"); | |
959fbac5 | 722 | GetErrors(ea,"car"); |
d88f97cc | 723 | |
724 | for (Int_t i=0; i<3; i++) | |
725 | { | |
726 | a[i]/=s; | |
959fbac5 | 727 | ea[i]/=s; |
d88f97cc | 728 | } |
729 | ||
730 | SetVector(a,"car"); | |
959fbac5 | 731 | SetErrors(ea,"car"); |
d88f97cc | 732 | |
733 | return *this; | |
734 | } | |
735 | } | |
736 | /////////////////////////////////////////////////////////////////////////// | |
d071d629 | 737 | Ali3Vector Ali3Vector::GetVecTrans() |
738 | { | |
739 | // Provide the transverse vector w.r.t. z-axis. | |
740 | // Error propagation is performed automatically | |
741 | Double_t pi=acos(-1.); | |
742 | Double_t a[3],ea[3]; | |
743 | ||
744 | GetVector(a,"sph"); | |
745 | GetErrors(ea,"sph"); | |
746 | ||
747 | Double_t vt,dvt2; | |
748 | vt=a[0]*sin(a[1]); | |
749 | dvt2=pow((sin(a[1])*ea[0]),2)+pow((a[0]*cos(a[1])*ea[1]),2); | |
750 | ||
751 | a[0]=fabs(vt); | |
752 | a[1]=pi/2.; | |
753 | ||
754 | ea[0]=sqrt(dvt2); | |
755 | ea[1]=0; | |
756 | ||
757 | Ali3Vector v; | |
758 | v.SetVector(a,"sph"); | |
759 | v.SetErrors(ea,"sph"); | |
760 | ||
761 | return v; | |
762 | } | |
763 | /////////////////////////////////////////////////////////////////////////// | |
764 | Ali3Vector Ali3Vector::GetVecLong() | |
765 | { | |
766 | // Provide the longitudinal vector w.r.t. z-axis. | |
767 | // Error propagation is performed automatically | |
768 | Double_t pi=acos(-1.); | |
769 | Double_t a[3],ea[3]; | |
770 | ||
771 | GetVector(a,"sph"); | |
772 | GetErrors(ea,"sph"); | |
773 | ||
774 | Double_t vl,dvl2; | |
775 | vl=a[0]*cos(a[1]); | |
776 | dvl2=pow((cos(a[1])*ea[0]),2)+pow((a[0]*sin(a[1])*ea[1]),2); | |
777 | ||
778 | a[0]=fabs(vl); | |
779 | a[1]=0; | |
780 | if (vl<0) a[1]=pi; | |
781 | a[2]=0; | |
782 | ||
783 | ea[0]=sqrt(dvl2); | |
784 | ea[1]=0; | |
785 | ea[2]=0; | |
786 | ||
787 | Ali3Vector v; | |
788 | v.SetVector(a,"sph"); | |
789 | v.SetErrors(ea,"sph"); | |
790 | ||
791 | return v; | |
792 | } | |
793 | /////////////////////////////////////////////////////////////////////////// |