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edc97986 | 1 | /************************************************************************** |
2 | * Copyright(c) 1998-2003, 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 | **************************************************************************/ | |
090026bf | 15 | |
16 | /* $Id$ */ | |
17 | ||
edc97986 | 18 | /////////////////////////////////////////////////////////////////// |
19 | // // | |
20 | // A straight line is coded as a point (3 Double_t) and // | |
21 | // 3 direction cosines // | |
22 | // // | |
23 | /////////////////////////////////////////////////////////////////// | |
090026bf | 24 | |
edc97986 | 25 | #include <Riostream.h> |
26 | #include <TTree.h> | |
090026bf | 27 | #include <TMath.h> |
28 | ||
edc97986 | 29 | #include "AliStrLine.h" |
30 | ||
31 | ClassImp(AliStrLine) | |
32 | ||
33 | //________________________________________________________ | |
fe12e09c | 34 | AliStrLine::AliStrLine() : |
35 | TObject(), | |
36 | fTpar(0), | |
37 | fDebug(0) | |
38 | { | |
edc97986 | 39 | // Default constructor |
40 | for(Int_t i=0;i<3;i++) { | |
41 | fP0[i] = 0.; | |
28dc94e2 | 42 | fSigma2P0[i] = 0.; |
edc97986 | 43 | fCd[i] = 0.; |
44 | } | |
146c29df | 45 | for(Int_t i=0;i<9;i++) fWMatrix[i] = 0.; |
edc97986 | 46 | } |
47 | ||
48 | //________________________________________________________ | |
fe12e09c | 49 | AliStrLine::AliStrLine(Double_t *point, Double_t *cd,Bool_t twopoints) : |
50 | TObject(), | |
51 | fTpar(0), | |
52 | fDebug(0) | |
53 | { | |
edc97986 | 54 | // Standard constructor |
24a0c65f | 55 | // if twopoints is true: point and cd are the 3D coordinates of |
56 | // two points defininig the straight line | |
57 | // if twopoint is false: point represents the 3D coordinates of a point | |
58 | // belonging to the straight line and cd is the | |
59 | // direction in space | |
146c29df | 60 | for(Int_t i=0;i<3;i++){ |
61 | fSigma2P0[i] = 0.; | |
62 | } | |
63 | for(Int_t i=0;i<9;i++) fWMatrix[i] = 0.; | |
24a0c65f | 64 | if(twopoints){ |
65 | InitTwoPoints(point,cd); | |
66 | } | |
67 | else { | |
68 | InitDirection(point,cd); | |
69 | } | |
70 | } | |
71 | ||
2c9641ee | 72 | //________________________________________________________ |
73 | AliStrLine::AliStrLine(Float_t *pointf, Float_t *cdf,Bool_t twopoints) : | |
74 | TObject(), | |
75 | fTpar(0), | |
76 | fDebug(0) | |
77 | { | |
78 | // Standard constructor - with float arguments | |
79 | // if twopoints is true: point and cd are the 3D coordinates of | |
80 | // two points defininig the straight line | |
81 | // if twopoint is false: point represents the 3D coordinates of a point | |
82 | // belonging to the straight line and cd is the | |
83 | // direction in space | |
84 | Double_t point[3]; | |
85 | Double_t cd[3]; | |
86 | for(Int_t i=0;i<3;i++){ | |
87 | point[i] = pointf[i]; | |
88 | cd[i] = cdf[i]; | |
28dc94e2 | 89 | fSigma2P0[i] = 0.; |
2c9641ee | 90 | } |
146c29df | 91 | for(Int_t i=0;i<9;i++) fWMatrix[i] = 0.; |
2c9641ee | 92 | if(twopoints){ |
93 | InitTwoPoints(point,cd); | |
94 | } | |
95 | else { | |
96 | InitDirection(point,cd); | |
97 | } | |
98 | } | |
24a0c65f | 99 | |
28dc94e2 | 100 | //________________________________________________________ |
101 | AliStrLine::AliStrLine(Double_t *point, Double_t *sig2point, Double_t *cd,Bool_t twopoints) : | |
102 | TObject(), | |
103 | fTpar(0), | |
104 | fDebug(0) | |
105 | { | |
106 | // Standard constructor | |
107 | // if twopoints is true: point and cd are the 3D coordinates of | |
108 | // two points defininig the straight line | |
109 | // if twopoint is false: point represents the 3D coordinates of a point | |
110 | // belonging to the straight line and cd is the | |
111 | // direction in space | |
146c29df | 112 | for(Int_t i=0;i<3;i++){ |
113 | fSigma2P0[i] = sig2point[i]; | |
114 | } | |
115 | for(Int_t i=0;i<9;i++) fWMatrix[i] = 0.; | |
28dc94e2 | 116 | if(twopoints){ |
117 | InitTwoPoints(point,cd); | |
118 | } | |
119 | else { | |
120 | InitDirection(point,cd); | |
121 | } | |
122 | } | |
123 | ||
124 | //________________________________________________________ | |
125 | AliStrLine::AliStrLine(Float_t *pointf, Float_t *sig2point, Float_t *cdf,Bool_t twopoints) : | |
126 | TObject(), | |
127 | fTpar(0), | |
128 | fDebug(0) | |
129 | { | |
130 | // Standard constructor - with float arguments | |
131 | // if twopoints is true: point and cd are the 3D coordinates of | |
132 | // two points defininig the straight line | |
133 | // if twopoint is false: point represents the 3D coordinates of a point | |
134 | // belonging to the straight line and cd is the | |
135 | // direction in space | |
136 | Double_t point[3]; | |
137 | Double_t cd[3]; | |
138 | for(Int_t i=0;i<3;i++){ | |
139 | point[i] = pointf[i]; | |
140 | cd[i] = cdf[i]; | |
141 | fSigma2P0[i] = sig2point[i]; | |
142 | } | |
146c29df | 143 | for(Int_t i=0;i<9;i++) fWMatrix[i] = 0.; |
144 | if(twopoints){ | |
145 | InitTwoPoints(point,cd); | |
146 | } | |
147 | else { | |
148 | InitDirection(point,cd); | |
149 | } | |
150 | } | |
151 | //________________________________________________________ | |
152 | AliStrLine::AliStrLine(Double_t *point, Double_t *sig2point, Double_t *wmat, Double_t *cd,Bool_t twopoints) : | |
153 | TObject(), | |
154 | fTpar(0), | |
155 | fDebug(0) | |
156 | { | |
157 | // Standard constructor | |
158 | // if twopoints is true: point and cd are the 3D coordinates of | |
159 | // two points defininig the straight line | |
160 | // if twopoint is false: point represents the 3D coordinates of a point | |
161 | // belonging to the straight line and cd is the | |
162 | // direction in space | |
163 | for(Int_t i=0;i<3;i++){ | |
164 | fSigma2P0[i] = sig2point[i]; | |
165 | } | |
166 | for(Int_t i=0;i<9;i++) fWMatrix[i] = wmat[i]; | |
167 | if(twopoints){ | |
168 | InitTwoPoints(point,cd); | |
169 | } | |
170 | else { | |
171 | InitDirection(point,cd); | |
172 | } | |
173 | } | |
174 | ||
175 | //________________________________________________________ | |
176 | AliStrLine::AliStrLine(Float_t *pointf, Float_t *sig2point, Float_t *wmat, Float_t *cdf,Bool_t twopoints) : | |
177 | TObject(), | |
178 | fTpar(0), | |
179 | fDebug(0) | |
180 | { | |
181 | // Standard constructor - with float arguments | |
182 | // if twopoints is true: point and cd are the 3D coordinates of | |
183 | // two points defininig the straight line | |
184 | // if twopoint is false: point represents the 3D coordinates of a point | |
185 | // belonging to the straight line and cd is the | |
186 | // direction in space | |
187 | Double_t point[3]; | |
188 | Double_t cd[3]; | |
189 | for(Int_t i=0;i<3;i++){ | |
190 | point[i] = pointf[i]; | |
191 | cd[i] = cdf[i]; | |
192 | fSigma2P0[i] = sig2point[i]; | |
193 | } | |
194 | for(Int_t i=0;i<9;i++) fWMatrix[i] = wmat[i]; | |
28dc94e2 | 195 | if(twopoints){ |
196 | InitTwoPoints(point,cd); | |
197 | } | |
198 | else { | |
199 | InitDirection(point,cd); | |
200 | } | |
201 | } | |
24a0c65f | 202 | //________________________________________________________ |
203 | void AliStrLine::InitDirection(Double_t *point, Double_t *cd){ | |
204 | // Initialization from a point and a direction | |
edc97986 | 205 | Double_t norm = 0.; |
206 | for(Int_t i=0;i<3;i++)norm+=cd[i]*cd[i]; | |
207 | if(norm) { | |
208 | norm = TMath::Sqrt(norm); | |
209 | for(Int_t i=0;i<3;i++) cd[i]/=norm; | |
210 | } | |
211 | else { | |
212 | Error("AliStrLine","Null direction cosines!!!"); | |
213 | } | |
214 | SetP0(point); | |
215 | SetCd(cd); | |
216 | fTpar = 0.; | |
217 | SetDebug(); | |
218 | } | |
219 | ||
24a0c65f | 220 | //________________________________________________________ |
221 | void AliStrLine::InitTwoPoints(Double_t *pA, Double_t *pB){ | |
222 | // Initialization from the coordinates of two | |
223 | // points in the space | |
224 | Double_t cd[3]; | |
225 | for(Int_t i=0;i<3;i++)cd[i] = pB[i]-pA[i]; | |
226 | InitDirection(pA,cd); | |
227 | } | |
228 | ||
edc97986 | 229 | //________________________________________________________ |
230 | AliStrLine::~AliStrLine() { | |
231 | // destructor | |
232 | } | |
233 | ||
234 | //________________________________________________________ | |
235 | void AliStrLine::PrintStatus() const { | |
236 | // Print current status | |
237 | cout <<"=======================================================\n"; | |
238 | cout <<"Direction cosines: "; | |
239 | for(Int_t i=0;i<3;i++)cout <<fCd[i]<<"; "; | |
240 | cout <<endl; | |
241 | cout <<"Known point: "; | |
242 | for(Int_t i=0;i<3;i++)cout <<fP0[i]<<"; "; | |
243 | cout <<endl; | |
28dc94e2 | 244 | cout <<"Error on known point: "; |
245 | for(Int_t i=0;i<3;i++)cout <<TMath::Sqrt(fSigma2P0[i])<<"; "; | |
246 | cout <<endl; | |
edc97986 | 247 | cout <<"Current value for the parameter: "<<fTpar<<endl; |
248 | cout <<" Debug flag: "<<fDebug<<endl; | |
249 | } | |
250 | ||
251 | //________________________________________________________ | |
252 | Int_t AliStrLine::IsParallelTo(AliStrLine *line) const { | |
253 | // returns 1 if lines are parallel, 0 if not paralel | |
254 | Double_t cd2[3]; | |
255 | line->GetCd(cd2); | |
256 | Double_t vecpx=fCd[1]*cd2[2]-fCd[2]*cd2[1]; | |
257 | if(vecpx!=0) return 0; | |
258 | Double_t vecpy=-fCd[0]*cd2[2]+fCd[2]*cd2[0]; | |
259 | if(vecpy!=0) return 0; | |
260 | Double_t vecpz=fCd[0]*cd2[1]-fCd[1]*cd2[0]; | |
261 | if(vecpz!=0) return 0; | |
262 | return 1; | |
263 | } | |
264 | //________________________________________________________ | |
265 | Int_t AliStrLine::Crossrphi(AliStrLine *line){ | |
266 | // Cross 2 lines in the X-Y plane | |
267 | Double_t p2[3]; | |
268 | Double_t cd2[3]; | |
269 | line->GetP0(p2); | |
270 | line->GetCd(cd2); | |
271 | Double_t a=fCd[0]; | |
272 | Double_t b=-cd2[0]; | |
273 | Double_t c=p2[0]-fP0[0]; | |
274 | Double_t d=fCd[1]; | |
275 | Double_t e=-cd2[1]; | |
276 | Double_t f=p2[1]-fP0[1]; | |
277 | Double_t deno = a*e-b*d; | |
278 | Int_t retcode = 0; | |
279 | if(deno != 0.) { | |
280 | fTpar = (c*e-b*f)/deno; | |
281 | } | |
282 | else { | |
283 | retcode = -1; | |
284 | } | |
285 | return retcode; | |
286 | } | |
287 | ||
288 | //________________________________________________________ | |
289 | Int_t AliStrLine::CrossPoints(AliStrLine *line, Double_t *point1, Double_t *point2){ | |
290 | // Looks for the crossing point estimated starting from the | |
291 | // DCA segment | |
292 | Double_t p2[3]; | |
293 | Double_t cd2[3]; | |
294 | line->GetP0(p2); | |
295 | line->GetCd(cd2); | |
296 | Int_t i; | |
297 | Double_t k1 = 0; | |
298 | for(i=0;i<3;i++)k1+=(fP0[i]-p2[i])*fCd[i]; | |
299 | Double_t k2 = 0; | |
300 | for(i=0;i<3;i++)k2+=(fP0[i]-p2[i])*cd2[i]; | |
301 | Double_t a11 = 0; | |
302 | for(i=0;i<3;i++)a11+=fCd[i]*cd2[i]; | |
303 | Double_t a22 = -a11; | |
304 | Double_t a21 = 0; | |
305 | for(i=0;i<3;i++)a21+=cd2[i]*cd2[i]; | |
306 | Double_t a12 = 0; | |
307 | for(i=0;i<3;i++)a12-=fCd[i]*fCd[i]; | |
308 | Double_t deno = a11*a22-a21*a12; | |
309 | if(deno == 0.) return -1; | |
310 | fTpar = (a11*k2-a21*k1) / deno; | |
311 | Double_t par2 = (k1*a22-k2*a12) / deno; | |
312 | line->SetPar(par2); | |
313 | GetCurrentPoint(point1); | |
314 | line->GetCurrentPoint(point2); | |
315 | return 0; | |
316 | } | |
317 | //________________________________________________________________ | |
318 | Int_t AliStrLine::Cross(AliStrLine *line, Double_t *point){ | |
319 | ||
320 | //Finds intersection between lines | |
321 | Double_t point1[3]; | |
322 | Double_t point2[3]; | |
323 | Int_t retcod=CrossPoints(line,point1,point2); | |
324 | if(retcod==0){ | |
325 | for(Int_t i=0;i<3;i++)point[i]=(point1[i]+point2[i])/2.; | |
326 | return 0; | |
327 | }else{ | |
328 | return -1; | |
329 | } | |
330 | } | |
331 | ||
332 | //___________________________________________________________ | |
2c9641ee | 333 | Double_t AliStrLine::GetDCA(AliStrLine *line) const{ |
edc97986 | 334 | //Returns the distance of closest approach between two lines |
335 | Double_t p2[3]; | |
336 | Double_t cd2[3]; | |
337 | line->GetP0(p2); | |
338 | line->GetCd(cd2); | |
339 | Int_t i; | |
340 | Int_t ispar=IsParallelTo(line); | |
341 | if(ispar){ | |
342 | Double_t dist1q=0,dist2=0,mod=0; | |
343 | for(i=0;i<3;i++){ | |
344 | dist1q+=(fP0[i]-p2[i])*(fP0[i]-p2[i]); | |
345 | dist2+=(fP0[i]-p2[i])*fCd[i]; | |
346 | mod+=fCd[i]*fCd[i]; | |
347 | } | |
348 | if(mod!=0){ | |
349 | dist2/=mod; | |
350 | return TMath::Sqrt(dist1q-dist2*dist2); | |
351 | }else{return -1;} | |
352 | }else{ | |
353 | Double_t perp[3]; | |
354 | perp[0]=fCd[1]*cd2[2]-fCd[2]*cd2[1]; | |
355 | perp[1]=-fCd[0]*cd2[2]+fCd[2]*cd2[0]; | |
356 | perp[2]=fCd[0]*cd2[1]-fCd[1]*cd2[0]; | |
357 | Double_t mod=0,dist=0; | |
358 | for(i=0;i<3;i++){ | |
359 | mod+=perp[i]*perp[i]; | |
360 | dist+=(fP0[i]-p2[i])*perp[i]; | |
361 | } | |
362 | mod=sqrt(mod); | |
363 | if(mod!=0){ | |
364 | dist/=mod; | |
365 | return TMath::Abs(dist); | |
366 | }else{return -1;} | |
367 | } | |
368 | } | |
369 | //________________________________________________________ | |
370 | void AliStrLine::GetCurrentPoint(Double_t *point) const { | |
371 | // Fills the array point with the current value on the line | |
372 | for(Int_t i=0;i<3;i++)point[i]=fP0[i]+fCd[i]*fTpar; | |
373 | } | |
2c9641ee | 374 | |
375 | //________________________________________________________ | |
376 | Double_t AliStrLine::GetDistFromPoint(Double_t *point) const { | |
377 | // computes distance from point | |
378 | AliStrLine tmp(point,(Double_t *)fCd,kFALSE); | |
379 | return this->GetDCA(&tmp); | |
380 | } |