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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 **************************************************************************/
15///////////////////////////////////////////////////////////////////
16// //
17// A straight line is coded as a point (3 Double_t) and //
18// 3 direction cosines //
19// //
20///////////////////////////////////////////////////////////////////
21#include <Riostream.h>
22#include <TTree.h>
23#include "AliStrLine.h"
24
25ClassImp(AliStrLine)
26
27//________________________________________________________
fe12e09c 28AliStrLine::AliStrLine() :
29 TObject(),
30 fTpar(0),
31 fDebug(0)
32 {
edc97986 33 // Default constructor
34 for(Int_t i=0;i<3;i++) {
35 fP0[i] = 0.;
36 fCd[i] = 0.;
37 }
edc97986 38}
39
40//________________________________________________________
fe12e09c 41AliStrLine::AliStrLine(Double_t *point, Double_t *cd,Bool_t twopoints) :
42 TObject(),
43 fTpar(0),
44 fDebug(0)
45{
edc97986 46 // Standard constructor
24a0c65f 47 // if twopoints is true: point and cd are the 3D coordinates of
48 // two points defininig the straight line
49 // if twopoint is false: point represents the 3D coordinates of a point
50 // belonging to the straight line and cd is the
51 // direction in space
52 if(twopoints){
53 InitTwoPoints(point,cd);
54 }
55 else {
56 InitDirection(point,cd);
57 }
58}
59
60
61//________________________________________________________
62void AliStrLine::InitDirection(Double_t *point, Double_t *cd){
63 // Initialization from a point and a direction
edc97986 64 Double_t norm = 0.;
65 for(Int_t i=0;i<3;i++)norm+=cd[i]*cd[i];
66 if(norm) {
67 norm = TMath::Sqrt(norm);
68 for(Int_t i=0;i<3;i++) cd[i]/=norm;
69 }
70 else {
71 Error("AliStrLine","Null direction cosines!!!");
72 }
73 SetP0(point);
74 SetCd(cd);
75 fTpar = 0.;
76 SetDebug();
77}
78
24a0c65f 79//________________________________________________________
80void AliStrLine::InitTwoPoints(Double_t *pA, Double_t *pB){
81 // Initialization from the coordinates of two
82 // points in the space
83 Double_t cd[3];
84 for(Int_t i=0;i<3;i++)cd[i] = pB[i]-pA[i];
85 InitDirection(pA,cd);
86}
87
edc97986 88//________________________________________________________
89AliStrLine::~AliStrLine() {
90 // destructor
91}
92
93//________________________________________________________
94void AliStrLine::PrintStatus() const {
95 // Print current status
96 cout <<"=======================================================\n";
97 cout <<"Direction cosines: ";
98 for(Int_t i=0;i<3;i++)cout <<fCd[i]<<"; ";
99 cout <<endl;
100 cout <<"Known point: ";
101 for(Int_t i=0;i<3;i++)cout <<fP0[i]<<"; ";
102 cout <<endl;
103 cout <<"Current value for the parameter: "<<fTpar<<endl;
104 cout <<" Debug flag: "<<fDebug<<endl;
105}
106
107//________________________________________________________
108Int_t AliStrLine::IsParallelTo(AliStrLine *line) const {
109 // returns 1 if lines are parallel, 0 if not paralel
110 Double_t cd2[3];
111 line->GetCd(cd2);
112 Double_t vecpx=fCd[1]*cd2[2]-fCd[2]*cd2[1];
113 if(vecpx!=0) return 0;
114 Double_t vecpy=-fCd[0]*cd2[2]+fCd[2]*cd2[0];
115 if(vecpy!=0) return 0;
116 Double_t vecpz=fCd[0]*cd2[1]-fCd[1]*cd2[0];
117 if(vecpz!=0) return 0;
118 return 1;
119}
120//________________________________________________________
121Int_t AliStrLine::Crossrphi(AliStrLine *line){
122 // Cross 2 lines in the X-Y plane
123 Double_t p2[3];
124 Double_t cd2[3];
125 line->GetP0(p2);
126 line->GetCd(cd2);
127 Double_t a=fCd[0];
128 Double_t b=-cd2[0];
129 Double_t c=p2[0]-fP0[0];
130 Double_t d=fCd[1];
131 Double_t e=-cd2[1];
132 Double_t f=p2[1]-fP0[1];
133 Double_t deno = a*e-b*d;
134 Int_t retcode = 0;
135 if(deno != 0.) {
136 fTpar = (c*e-b*f)/deno;
137 }
138 else {
139 retcode = -1;
140 }
141 return retcode;
142}
143
144//________________________________________________________
145Int_t AliStrLine::CrossPoints(AliStrLine *line, Double_t *point1, Double_t *point2){
146 // Looks for the crossing point estimated starting from the
147 // DCA segment
148 Double_t p2[3];
149 Double_t cd2[3];
150 line->GetP0(p2);
151 line->GetCd(cd2);
152 Int_t i;
153 Double_t k1 = 0;
154 for(i=0;i<3;i++)k1+=(fP0[i]-p2[i])*fCd[i];
155 Double_t k2 = 0;
156 for(i=0;i<3;i++)k2+=(fP0[i]-p2[i])*cd2[i];
157 Double_t a11 = 0;
158 for(i=0;i<3;i++)a11+=fCd[i]*cd2[i];
159 Double_t a22 = -a11;
160 Double_t a21 = 0;
161 for(i=0;i<3;i++)a21+=cd2[i]*cd2[i];
162 Double_t a12 = 0;
163 for(i=0;i<3;i++)a12-=fCd[i]*fCd[i];
164 Double_t deno = a11*a22-a21*a12;
165 if(deno == 0.) return -1;
166 fTpar = (a11*k2-a21*k1) / deno;
167 Double_t par2 = (k1*a22-k2*a12) / deno;
168 line->SetPar(par2);
169 GetCurrentPoint(point1);
170 line->GetCurrentPoint(point2);
171 return 0;
172}
173//________________________________________________________________
174Int_t AliStrLine::Cross(AliStrLine *line, Double_t *point){
175
176 //Finds intersection between lines
177 Double_t point1[3];
178 Double_t point2[3];
179 Int_t retcod=CrossPoints(line,point1,point2);
180 if(retcod==0){
181 for(Int_t i=0;i<3;i++)point[i]=(point1[i]+point2[i])/2.;
182 return 0;
183 }else{
184 return -1;
185 }
186}
187
188//___________________________________________________________
189Double_t AliStrLine::GetDCA(AliStrLine *line){
190 //Returns the distance of closest approach between two lines
191 Double_t p2[3];
192 Double_t cd2[3];
193 line->GetP0(p2);
194 line->GetCd(cd2);
195 Int_t i;
196 Int_t ispar=IsParallelTo(line);
197 if(ispar){
198 Double_t dist1q=0,dist2=0,mod=0;
199 for(i=0;i<3;i++){
200 dist1q+=(fP0[i]-p2[i])*(fP0[i]-p2[i]);
201 dist2+=(fP0[i]-p2[i])*fCd[i];
202 mod+=fCd[i]*fCd[i];
203 }
204 if(mod!=0){
205 dist2/=mod;
206 return TMath::Sqrt(dist1q-dist2*dist2);
207 }else{return -1;}
208 }else{
209 Double_t perp[3];
210 perp[0]=fCd[1]*cd2[2]-fCd[2]*cd2[1];
211 perp[1]=-fCd[0]*cd2[2]+fCd[2]*cd2[0];
212 perp[2]=fCd[0]*cd2[1]-fCd[1]*cd2[0];
213 Double_t mod=0,dist=0;
214 for(i=0;i<3;i++){
215 mod+=perp[i]*perp[i];
216 dist+=(fP0[i]-p2[i])*perp[i];
217 }
218 mod=sqrt(mod);
219 if(mod!=0){
220 dist/=mod;
221 return TMath::Abs(dist);
222 }else{return -1;}
223 }
224}
225//________________________________________________________
226void AliStrLine::GetCurrentPoint(Double_t *point) const {
227 // Fills the array point with the current value on the line
228 for(Int_t i=0;i<3;i++)point[i]=fP0[i]+fCd[i]*fTpar;
229}