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33049b0a 1/**************************************************************************
2 * Copyright(c) 2001-2002, 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
88cb7938 16/* $Id$ */
33049b0a 17
18////////////////////////////////////////////////////////////////////////
19// Class used by TPC tracking parameterization to handle to tracking
20// parameters (efficiencies, etc...) on a kinematic grid [pt,eta].
21// User has to provide the grid steps and the values of the parameter
22// in the points of the grid. The function GetValueAt(pt,eta) returns
23// the result of a linear interpolation at the point [pt,eta].
24//
25// Origin: Andrea Dainese, Padova - e-mail: andrea.dainese@pd.infn.it
26////////////////////////////////////////////////////////////////////////
27
b2bca9d4 28//-- standard headers -----
29#include "Riostream.h"
30//--- Root headers --------
33049b0a 31#include <TMatrixD.h>
32#include <TArrayD.h>
b2bca9d4 33//-- AliRoot headers ------
33049b0a 34#include "AliTPCkineGrid.h"
b2bca9d4 35//-------------------------
33049b0a 36
37ClassImp(AliTPCkineGrid)
38
39//------------------------------------------------------------------------
179c6296 40 AliTPCkineGrid::AliTPCkineGrid()
41 :TNamed(),
42 fNpt(0),
43 fNeta(0),
44 fPt(0),
45 fEta(0),
46 fParams(0)
47{
33049b0a 48//------------------------------------------------------------------------
49// Default constructor
50//------------------------------------------------------------------------
179c6296 51
33049b0a 52}
53//------------------------------------------------------------------------
54AliTPCkineGrid::AliTPCkineGrid(Int_t npt,Int_t neta,
179c6296 55 Double_t* pt,Double_t* eta)
56 :TNamed(),
57 fNpt(npt),
58 fNeta(neta),
59 fPt(0),
60 fEta(0),
61 fParams(0)
62{
33049b0a 63//------------------------------------------------------------------------
64// Standard constructor
65//------------------------------------------------------------------------
179c6296 66
33049b0a 67
68 fPt = new TArrayD(fNpt);
69 fEta = new TArrayD(fNeta);
70
71 for(Int_t i=0; i<npt; i++) (*fPt)[i] = pt[i];
72 for(Int_t i=0; i<neta; i++) (*fEta)[i] = eta[i];
73
74 fParams = new TMatrixD(fNpt,fNeta);
75}
76//-------------------------------------------------------------------------
179c6296 77AliTPCkineGrid::AliTPCkineGrid(const AliTPCkineGrid& grid):TNamed(grid),
78 fNpt(0),
79 fNeta(0),
80 fPt(0),
81 fEta(0),
82 fParams(0)
83{
33049b0a 84//-------------------------------------------------------------------------
85// Copy constructor
86//-------------------------------------------------------------------------
87 fNpt = grid.fNpt;
88 fNeta = grid.fNeta;
89 fPt = new TArrayD(fNpt);
90 for(Int_t i=0; i<fNpt; i++) (*fPt)[i] = grid.fPt->At(i);
91 fEta = new TArrayD(fNeta);
92 for(Int_t i=0; i<fNeta; i++) (*fEta)[i] = grid.fEta->At(i);
93
94 fParams = new TMatrixD(fNpt,fNeta);
95 for(Int_t i=0; i<fNpt; i++) {
96 for(Int_t j=0; j<fNeta; j++) (*fParams)(i,j)=(*grid.fParams)(i,j);
97 }
98}
99//--------------------------------------------------------------------------
100AliTPCkineGrid::~AliTPCkineGrid() {
101//--------------------------------------------------------------------------
102// Destructor
103//--------------------------------------------------------------------------
104 delete fPt;
105 delete fEta;
106 delete fParams;
107}
179c6296 108//__________________________________________________________________________
109AliTPCkineGrid & AliTPCkineGrid::operator =(const AliTPCkineGrid & param)
110{
111 //
112 // assignment operator - dummy
113 //
114 fNpt=param.fNpt;
115 return (*this);
116}
33049b0a 117//--------------------------------------------------------------------------
118void AliTPCkineGrid::GetArrayEta(Double_t* eta) const {
119//--------------------------------------------------------------------------
120// This functions returns an array with the eta points
121//--------------------------------------------------------------------------
122 for(Int_t i=0;i<fNeta;i++) eta[i] = fEta->At(i);
123 return;
124}
125//--------------------------------------------------------------------------
126void AliTPCkineGrid::GetArrayPt(Double_t* pt) const {
127//--------------------------------------------------------------------------
128// This functions returns an array with the pt points
129//--------------------------------------------------------------------------
130 for(Int_t i=0;i<fNpt;i++) pt[i] = fPt->At(i);
131 return;
132}
133//--------------------------------------------------------------------------
134Int_t AliTPCkineGrid::GetBin(Double_t pt,Double_t eta) const {
135//--------------------------------------------------------------------------
136// This functions tells in which bin of the grid a certain point falls
137//--------------------------------------------------------------------------
138
139 Int_t etaBin=0,ptBin=0,bin=0;
140 eta = TMath::Abs(eta);
141
142 /* this is how bins are numbered
143
144 ... ... .
145 ---+---+---
146 ^ 6 | 7 | 8
147 | ---+---+---
148 3 | 4 | 5
149 Pt ---+---+---
150 0 | 1 | 2
151
152 eta ->
153 */
154
155 if(eta < fEta->At(0)) {
156 etaBin = 0;
157 } else if(eta > fEta->At(fNeta-1)) {
158 etaBin = fNeta;
159 } else {
160 for(Int_t i=0; i<fNeta; i++) {
161 if(eta < fEta->At(i)) {
162 etaBin = i;
163 break;
164 }
165 }
166 }
167 if(pt < fPt->At(0)) {
168 ptBin = 0;
169 } else if(pt > fPt->At(fNpt-1)) {
170 ptBin = fNpt;
171 } else {
172 for(Int_t i=0; i<fNpt; i++) {
173 if(pt < fPt->At(i)) {
174 ptBin = i;
175 break;
176 }
177 }
178 }
179
180 bin = ptBin*(fNeta+1) + etaBin;
181
182 return bin;
183}
184//--------------------------------------------------------------------------
185Double_t AliTPCkineGrid::GetParam(Int_t i) const {
186//--------------------------------------------------------------------------
187// This functions allows to get parameters using only one index
188//--------------------------------------------------------------------------
189 Int_t ipt = (Int_t)i/fNeta;
190 Int_t ieta = i-ipt*fNeta;
191 return GetParam(ipt,ieta);
192}
193//--------------------------------------------------------------------------
194Double_t AliTPCkineGrid::GetValueAt(Double_t pt,Double_t eta) const {
195//--------------------------------------------------------------------------
196// This functions makes a linear interpolation at the point [pt,eta]
197//--------------------------------------------------------------------------
198
199 // determine the points to be used in the interpolation:
200 //
201 // eta
202 eta = TMath::Abs(eta);
203 Int_t etaLow=0,etaUp=0;
204 if(eta < fEta->At(0)) {
205 etaLow = 0;
206 etaUp = 1;
207 } else if(eta >= fEta->At(fNeta-1)) {
208 etaLow = fNeta-2;
209 etaUp = fNeta-1;
210 } else {
211 for(Int_t i=0; i<fNeta; i++) {
212 if(eta < fEta->At(i)) {
213 etaLow = i-1;
214 etaUp = i;
215 break;
216 }
217 }
218 }
219 //
220 // pt
221 Int_t ptLow=0,ptUp=0;
222 if(pt < fPt->At(0)) {
223 ptLow = 0;
224 ptUp = 1;
225 } else if(pt >= fPt->At(fNpt-1)) {
226 ptLow = fNpt-2;
227 ptUp = fNpt-1;
228 } else {
229 for(Int_t i=0; i<fNpt; i++) {
230 if(pt < fPt->At(i)) {
231 ptLow = i-1;
232 ptUp = i;
233 break;
234 }
235 }
236 }
237
238 //cerr<<" Pt = ("<<ptLow<<","<<ptUp<<") Eta = ("<<etaLow<<","<<etaUp<<")\n";
239
240 Double_t intValue=0,intValueEtaLow=0,intValueEtaUp=0;
241 // interpolate, at etaLow, between ptLow and ptUp
242 intValueEtaLow = (*fParams)(ptLow,etaLow)+
243 ((*fParams)(ptUp,etaLow)-(*fParams)(ptLow,etaLow))/
244 (fPt->At(ptUp)-fPt->At(ptLow))*(pt-fPt->At(ptLow));
245 // interpolate, at etaUp, between ptLow and ptUp
246 intValueEtaUp = (*fParams)(ptLow,etaUp)+
247 ((*fParams)(ptUp,etaUp)-(*fParams)(ptLow,etaUp))/
248 (fPt->At(ptUp)-fPt->At(ptLow))*(pt-fPt->At(ptLow));
249 // interpolate, at pt, between etaLow and etaUp
250 intValue = intValueEtaLow+
251 (intValueEtaUp-intValueEtaLow)/
252 (fEta->At(etaUp)-fEta->At(etaLow))*(eta-fEta->At(etaLow));
253
254 if(intValue<0.) intValue=0.;
255 return intValue;
256}
257//--------------------------------------------------------------------------
258void AliTPCkineGrid::SetParam(Int_t i,Double_t par) {
259//--------------------------------------------------------------------------
260// This functions allows to set parameters using only one index
261//--------------------------------------------------------------------------
262 Int_t ipt = (Int_t)i/fNeta;
263 Int_t ieta = i-ipt*fNeta;
264 SetParam(ipt,ieta,par);
265
266 return;
267}
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