+++ /dev/null
-/**************************************************************************
- * Copyright(c) 1998-2003, ALICE Experiment at CERN, All rights reserved. *
- * *
- * Author: The ALICE Off-line Project. *
- * Contributors are mentioned in the code where appropriate. *
- * *
- * Permission to use, copy, modify and distribute this software and its *
- * documentation strictly for non-commercial purposes is hereby granted *
- * without fee, provided that the above copyright notice appears in all *
- * copies and that both the copyright notice and this permission notice *
- * appear in the supporting documentation. The authors make no claims *
- * about the suitability of this software for any purpose. It is *
- * provided "as is" without express or implied warranty. *
- **************************************************************************/
-
-/* $Id$ */
-
-///////////////////////////////////////////////////////////////////
-// //
-// A straight line is coded as a point (3 Double_t) and //
-// 3 direction cosines //
-// //
-///////////////////////////////////////////////////////////////////
-
-#include <Riostream.h>
-#include <TMath.h>
-
-#include "AliStrLine.h"
-
-ClassImp(AliStrLine)
-
-//________________________________________________________
-AliStrLine::AliStrLine() :
- TObject(),
- fWMatrix(0),
- fTpar(0)
- {
- // Default constructor
- for(Int_t i=0;i<3;i++) {
- fP0[i] = 0.;
- fSigma2P0[i] = 0.;
- fCd[i] = 0.;
- }
- SetIdPoints(65535,65535);
-}
-
-//________________________________________________________
-AliStrLine::AliStrLine(const Double_t *const point, const Double_t *const cd, Bool_t twopoints, UShort_t id1, UShort_t id2) :
- TObject(),
- fWMatrix(0),
- fTpar(0)
-{
- // Standard constructor
- // if twopoints is true: point and cd are the 3D coordinates of
- // two points defininig the straight line
- // if twopoint is false: point represents the 3D coordinates of a point
- // belonging to the straight line and cd is the
- // direction in space
- for(Int_t i=0;i<3;i++)
- fSigma2P0[i] = 0.;
-
- if(twopoints)
- InitTwoPoints(point,cd);
- else
- InitDirection(point,cd);
-
- SetIdPoints(id1,id2);
-}
-
-
-//________________________________________________________
-AliStrLine::AliStrLine(const Double_t *const point, const Double_t *const sig2point, const Double_t *const cd, Bool_t twopoints, UShort_t id1, UShort_t id2) :
- TObject(),
- fWMatrix(0),
- fTpar(0)
-{
- // Standard constructor
- // if twopoints is true: point and cd are the 3D coordinates of
- // two points defininig the straight line
- // if twopoint is false: point represents the 3D coordinates of a point
- // belonging to the straight line and cd is the
- // direction in space
- for(Int_t i=0;i<3;i++)
- fSigma2P0[i] = sig2point[i];
-
- if(twopoints)
- InitTwoPoints(point,cd);
- else
- InitDirection(point,cd);
-
- SetIdPoints(id1,id2);
-}
-
-//________________________________________________________
-AliStrLine::AliStrLine(const Double_t *const point, const Double_t *const sig2point, const Double_t *const wmat, const Double_t *const cd, Bool_t twopoints, UShort_t id1, UShort_t id2) :
- TObject(),
- fWMatrix(0),
- fTpar(0)
-{
- // Standard constructor
- // if twopoints is true: point and cd are the 3D coordinates of
- // two points defininig the straight line
- // if twopoint is false: point represents the 3D coordinates of a point
- // belonging to the straight line and cd is the
- // direction in space
- Int_t k = 0;
- fWMatrix = new Double_t [6];
- for(Int_t i=0;i<3;i++){
- fSigma2P0[i] = sig2point[i];
- for(Int_t j=0;j<3;j++)if(j>=i)fWMatrix[k++]=wmat[3*i+j];
- }
- if(twopoints)
- InitTwoPoints(point,cd);
- else
- InitDirection(point,cd);
-
- SetIdPoints(id1,id2);
-}
-
-//________________________________________________________
-AliStrLine::AliStrLine(const AliStrLine &source):TObject(source),
-fWMatrix(0),
-fTpar(source.fTpar){
- // copy constructor
- for(Int_t i=0;i<3;i++){
- fP0[i]=source.fP0[i];
- fSigma2P0[i]=source.fSigma2P0[i];
- fCd[i]=source.fCd[i];
- }
- if(source.fWMatrix){
- fWMatrix = new Double_t [6];
- for(Int_t i=0;i<6;i++)fWMatrix[i]=source.fWMatrix[i];
- }
- for(Int_t i=0;i<2;i++) fIdPoint[i]=source.fIdPoint[i];
-}
-
-//________________________________________________________
-AliStrLine& AliStrLine::operator=(const AliStrLine& source){
- // Assignment operator
- if(this !=&source){
- this->~AliStrLine();
- new(this)AliStrLine(source);
- }
- return *this;
-}
-
-//________________________________________________________
-void AliStrLine::GetWMatrix(Double_t *wmat)const {
-// Getter for weighting matrix, as a [9] dim. array
- if(!fWMatrix)return;
- Int_t k = 0;
- for(Int_t i=0;i<3;i++){
- for(Int_t j=0;j<3;j++){
- if(j>=i){
- wmat[3*i+j]=fWMatrix[k++];
- }
- else{
- wmat[3*i+j]=wmat[3*j+i];
- }
- }
- }
-}
-
-//________________________________________________________
-void AliStrLine::SetWMatrix(const Double_t *wmat) {
-// Setter for weighting matrix, strating from a [9] dim. array
- if(fWMatrix)delete [] fWMatrix;
- fWMatrix = new Double_t [6];
- Int_t k = 0;
- for(Int_t i=0;i<3;i++){
- for(Int_t j=0;j<3;j++)if(j>=i)fWMatrix[k++]=wmat[3*i+j];
- }
-}
-
-//________________________________________________________
-void AliStrLine::InitDirection(const Double_t *const point, const Double_t *const cd)
-{
- // Initialization from a point and a direction
- Double_t norm = cd[0]*cd[0]+cd[1]*cd[1]+cd[2]*cd[2];
-
- if(norm) {
- norm = TMath::Sqrt(1./norm);
- for(Int_t i=0;i<3;++i) {
- fP0[i]=point[i];
- fCd[i]=cd[i]*norm;
- }
- fTpar = 0.;
- }
- else AliFatal("Null direction cosines!!!");
-}
-
-//________________________________________________________
-void AliStrLine::InitTwoPoints(const Double_t *const pA, const Double_t *const pB)
-{
- // Initialization from the coordinates of two
- // points in the space
- Double_t cd[3];
- for(Int_t i=0;i<3;i++)cd[i] = pB[i]-pA[i];
- InitDirection(pA,cd);
-}
-
-//________________________________________________________
-AliStrLine::~AliStrLine() {
- // destructor
- if(fWMatrix)delete [] fWMatrix;
-}
-
-//________________________________________________________
-void AliStrLine::PrintStatus() const {
- // Print current status
- cout <<"=======================================================\n";
- cout <<"Direction cosines: ";
- for(Int_t i=0;i<3;i++)cout <<fCd[i]<<"; ";
- cout <<endl;
- cout <<"Known point: ";
- for(Int_t i=0;i<3;i++)cout <<fP0[i]<<"; ";
- cout <<endl;
- cout <<"Error on known point: ";
- for(Int_t i=0;i<3;i++)cout <<TMath::Sqrt(fSigma2P0[i])<<"; ";
- cout <<endl;
- cout <<"Current value for the parameter: "<<fTpar<<endl;
-}
-
-//________________________________________________________
-Int_t AliStrLine::IsParallelTo(const AliStrLine *line) const {
- // returns 1 if lines are parallel, 0 if not paralel
- const Double_t prec=1e-14;
- Double_t cd2[3];
- line->GetCd(cd2);
-
- Double_t vecpx=fCd[1]*cd2[2]-fCd[2]*cd2[1];
- Double_t mod=TMath::Abs(fCd[1]*cd2[2])+TMath::Abs(fCd[2]*cd2[1]);
- if(TMath::Abs(vecpx) > prec*mod) return 0;
-
- Double_t vecpy=-fCd[0]*cd2[2]+fCd[2]*cd2[0];
- mod=TMath::Abs(fCd[0]*cd2[2])+TMath::Abs(fCd[2]*cd2[0]);
- if(TMath::Abs(vecpy) > prec*mod) return 0;
-
- Double_t vecpz=fCd[0]*cd2[1]-fCd[1]*cd2[0];
- mod=TMath::Abs(fCd[0]*cd2[1])+TMath::Abs(fCd[1]*cd2[0]);
- if(TMath::Abs(vecpz) > prec) return 0;
-
- return 1;
-}
-//________________________________________________________
-Int_t AliStrLine::Crossrphi(const AliStrLine *line)
-{
- // Cross 2 lines in the X-Y plane
- const Double_t prec=1e-14;
- const Double_t big=1e20;
- Double_t p2[3];
- Double_t cd2[3];
- line->GetP0(p2);
- line->GetCd(cd2);
- Double_t a=fCd[0];
- Double_t b=-cd2[0];
- Double_t c=p2[0]-fP0[0];
- Double_t d=fCd[1];
- Double_t e=-cd2[1];
- Double_t f=p2[1]-fP0[1];
- Double_t deno = a*e-b*d;
- Double_t mod=TMath::Abs(a*e)+TMath::Abs(b*d);
- Int_t retcode = 0;
- if(TMath::Abs(deno) > prec*mod) {
- fTpar = (c*e-b*f)/deno;
- }
- else {
- fTpar = big;
- retcode = -1;
- }
- return retcode;
-}
-
-//________________________________________________________
-Int_t AliStrLine::CrossPoints(AliStrLine *line, Double_t *point1, Double_t *point2){
- // Looks for the crossing point estimated starting from the
- // DCA segment
- const Double_t prec=1e-14;
- Double_t p2[3];
- Double_t cd2[3];
- line->GetP0(p2);
- line->GetCd(cd2);
- Int_t i;
- Double_t k1 = 0;
- Double_t k2 = 0;
- Double_t a11 = 0;
- for(i=0;i<3;i++){
- k1+=(fP0[i]-p2[i])*fCd[i];
- k2+=(fP0[i]-p2[i])*cd2[i];
- a11+=fCd[i]*cd2[i];
- }
- Double_t a22 = -a11;
- Double_t a21 = 0;
- Double_t a12 = 0;
- for(i=0;i<3;i++){
- a21+=cd2[i]*cd2[i];
- a12-=fCd[i]*fCd[i];
- }
- Double_t deno = a11*a22-a21*a12;
- Double_t mod = TMath::Abs(a11*a22)+TMath::Abs(a21*a12);
- if(TMath::Abs(deno) < prec*mod) return -1;
- fTpar = (a11*k2-a21*k1) / deno;
- Double_t par2 = (k1*a22-k2*a12) / deno;
- line->SetPar(par2);
- GetCurrentPoint(point1);
- line->GetCurrentPoint(point2);
- return 0;
-}
-//________________________________________________________________
-Int_t AliStrLine::Cross(AliStrLine *line, Double_t *point)
-{
-
- //Finds intersection between lines
- Double_t point1[3];
- Double_t point2[3];
- Int_t retcod=CrossPoints(line,point1,point2);
- if(retcod==0){
- for(Int_t i=0;i<3;i++)point[i]=(point1[i]+point2[i])/2.;
- return 0;
- }else{
- return -1;
- }
-}
-
-//___________________________________________________________
-Double_t AliStrLine::GetDCA(const AliStrLine *line) const
-{
- //Returns the distance of closest approach between two lines
- const Double_t prec=1e-14;
- Double_t p2[3];
- Double_t cd2[3];
- line->GetP0(p2);
- line->GetCd(cd2);
- Int_t i;
- Int_t ispar=IsParallelTo(line);
- if(ispar){
- Double_t dist1q=0,dist2=0,mod=0;
- for(i=0;i<3;i++){
- dist1q+=(fP0[i]-p2[i])*(fP0[i]-p2[i]);
- dist2+=(fP0[i]-p2[i])*fCd[i];
- mod+=fCd[i]*fCd[i];
- }
- if(TMath::Abs(mod) > prec){
- dist2/=mod;
- return TMath::Sqrt(dist1q-dist2*dist2);
- }else{return -1;}
- }else{
- Double_t perp[3];
- perp[0]=fCd[1]*cd2[2]-fCd[2]*cd2[1];
- perp[1]=-fCd[0]*cd2[2]+fCd[2]*cd2[0];
- perp[2]=fCd[0]*cd2[1]-fCd[1]*cd2[0];
- Double_t mod=0,dist=0;
- for(i=0;i<3;i++){
- mod+=perp[i]*perp[i];
- dist+=(fP0[i]-p2[i])*perp[i];
- }
- if(TMath::Abs(mod) > prec) {
- return TMath::Abs(dist/TMath::Sqrt(mod));
- } else return -1;
- }
-}
-//________________________________________________________
-void AliStrLine::GetCurrentPoint(Double_t *point) const {
- // Fills the array point with the current value on the line
- for(Int_t i=0;i<3;i++)point[i]=fP0[i]+fCd[i]*fTpar;
-}
-
-//________________________________________________________
-Double_t AliStrLine::GetDistFromPoint(const Double_t *point) const
-{
- // computes distance from point
- AliStrLine tmpline(point, fCd, kFALSE);
- return GetDCA(&tmpline);
-}
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