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4 * Author: The ALICE Off-line Project. *
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14 **************************************************************************/
16 ////////////////////////////////////////////////////////////////////////////////
18 // AliTPCCorrection class //
20 // This class provides a general framework to deal with space point //
21 // distortions. An correction class which inherits from here is for example //
22 // AliTPCExBBShape or AliTPCExBTwist //
24 // General functions are (for example): //
25 // CorrectPoint(x,roc) where x is the vector of inital positions in //
26 // cartesian coordinates and roc represents the Read Out chamber number //
27 // according to the offline naming convention. The vector x is overwritten //
28 // with the corrected coordinates. //
30 // An alternative usage would be CorrectPoint(x,roc,dx), which leaves the //
31 // vector x untouched, put returns the distortions via the vector dx //
33 // The class allows "effective Omega Tau" corrections to be shifted to the //
34 // single distortion classes. //
36 // Note: This class is normally used via the class AliTPCComposedCorrection //
38 // date: 27/04/2010 //
39 // Authors: Magnus Mager, Stefan Rossegger, Jim Thomas //
40 ////////////////////////////////////////////////////////////////////////////////
41 #include "Riostream.h"
46 #include <TTreeStream.h>
49 #include <TTimeStamp.h>
50 #include <AliCDBStorage.h>
52 #include <AliCDBMetaData.h>
55 #include "AliExternalTrackParam.h"
56 #include "AliTrackPointArray.h"
57 #include "TDatabasePDG.h"
58 #include "AliTrackerBase.h"
59 #include "AliTPCROC.h"
60 #include "THnSparse.h"
63 #include "AliTPCCorrection.h"
65 ClassImp(AliTPCCorrection)
67 // FIXME: the following values should come from the database
68 const Double_t AliTPCCorrection::fgkTPCZ0 =249.7; // nominal gating grid position
69 const Double_t AliTPCCorrection::fgkIFCRadius= 83.06; // Mean Radius of the Inner Field Cage ( 82.43 min, 83.70 max) (cm)
70 const Double_t AliTPCCorrection::fgkOFCRadius=254.5; // Mean Radius of the Outer Field Cage (252.55 min, 256.45 max) (cm)
71 const Double_t AliTPCCorrection::fgkZOffSet = 0.2; // Offset from CE: calculate all distortions closer to CE as if at this point
72 const Double_t AliTPCCorrection::fgkCathodeV =-100000.0; // Cathode Voltage (volts)
73 const Double_t AliTPCCorrection::fgkGG =-70.0; // Gating Grid voltage (volts)
76 // FIXME: List of interpolation points (course grid in the middle, fine grid on the borders)
77 const Double_t AliTPCCorrection::fgkRList[AliTPCCorrection::kNR] = {
78 84.0, 84.5, 85.0, 85.5, 86.0, 87.0, 88.0,
79 90.0, 92.0, 94.0, 96.0, 98.0, 100.0, 102.0, 104.0, 106.0, 108.0,
80 110.0, 112.0, 114.0, 116.0, 118.0, 120.0, 122.0, 124.0, 126.0, 128.0,
81 130.0, 132.0, 134.0, 136.0, 138.0, 140.0, 142.0, 144.0, 146.0, 148.0,
82 150.0, 152.0, 154.0, 156.0, 158.0, 160.0, 162.0, 164.0, 166.0, 168.0,
83 170.0, 172.0, 174.0, 176.0, 178.0, 180.0, 182.0, 184.0, 186.0, 188.0,
84 190.0, 192.0, 194.0, 196.0, 198.0, 200.0, 202.0, 204.0, 206.0, 208.0,
85 210.0, 212.0, 214.0, 216.0, 218.0, 220.0, 222.0, 224.0, 226.0, 228.0,
86 230.0, 232.0, 234.0, 236.0, 238.0, 240.0, 242.0, 244.0, 246.0, 248.0,
87 249.0, 249.5, 250.0, 251.5, 252.0 } ;
89 const Double_t AliTPCCorrection::fgkZList[AliTPCCorrection::kNZ] = {
90 -249.5, -249.0, -248.5, -248.0, -247.0, -246.0, -245.0, -243.0, -242.0, -241.0,
91 -240.0, -238.0, -236.0, -234.0, -232.0, -230.0, -228.0, -226.0, -224.0, -222.0,
92 -220.0, -218.0, -216.0, -214.0, -212.0, -210.0, -208.0, -206.0, -204.0, -202.0,
93 -200.0, -198.0, -196.0, -194.0, -192.0, -190.0, -188.0, -186.0, -184.0, -182.0,
94 -180.0, -178.0, -176.0, -174.0, -172.0, -170.0, -168.0, -166.0, -164.0, -162.0,
95 -160.0, -158.0, -156.0, -154.0, -152.0, -150.0, -148.0, -146.0, -144.0, -142.0,
96 -140.0, -138.0, -136.0, -134.0, -132.0, -130.0, -128.0, -126.0, -124.0, -122.0,
97 -120.0, -118.0, -116.0, -114.0, -112.0, -110.0, -108.0, -106.0, -104.0, -102.0,
98 -100.0, -98.0, -96.0, -94.0, -92.0, -90.0, -88.0, -86.0, -84.0, -82.0,
99 -80.0, -78.0, -76.0, -74.0, -72.0, -70.0, -68.0, -66.0, -64.0, -62.0,
100 -60.0, -58.0, -56.0, -54.0, -52.0, -50.0, -48.0, -46.0, -44.0, -42.0,
101 -40.0, -38.0, -36.0, -34.0, -32.0, -30.0, -28.0, -26.0, -24.0, -22.0,
102 -20.0, -18.0, -16.0, -14.0, -12.0, -10.0, -8.0, -6.0, -4.0, -2.0,
103 -1.0, -0.5, -0.2, -0.1, -0.05, 0.05, 0.1, 0.2, 0.5, 1.0,
104 2.0, 4.0, 6.0, 8.0, 10.0, 12.0, 14.0, 16.0, 18.0, 20.0,
105 22.0, 24.0, 26.0, 28.0, 30.0, 32.0, 34.0, 36.0, 38.0, 40.0,
106 42.0, 44.0, 46.0, 48.0, 50.0, 52.0, 54.0, 56.0, 58.0, 60.0,
107 62.0, 64.0, 66.0, 68.0, 70.0, 72.0, 74.0, 76.0, 78.0, 80.0,
108 82.0, 84.0, 86.0, 88.0, 90.0, 92.0, 94.0, 96.0, 98.0, 100.0,
109 102.0, 104.0, 106.0, 108.0, 110.0, 112.0, 114.0, 116.0, 118.0, 120.0,
110 122.0, 124.0, 126.0, 128.0, 130.0, 132.0, 134.0, 136.0, 138.0, 140.0,
111 142.0, 144.0, 146.0, 148.0, 150.0, 152.0, 154.0, 156.0, 158.0, 160.0,
112 162.0, 164.0, 166.0, 168.0, 170.0, 172.0, 174.0, 176.0, 178.0, 180.0,
113 182.0, 184.0, 186.0, 188.0, 190.0, 192.0, 194.0, 196.0, 198.0, 200.0,
114 202.0, 204.0, 206.0, 208.0, 210.0, 212.0, 214.0, 216.0, 218.0, 220.0,
115 222.0, 224.0, 226.0, 228.0, 230.0, 232.0, 234.0, 236.0, 238.0, 240.0,
116 242.0, 243.0, 244.0, 245.0, 246.0, 247.0, 248.0, 248.5, 249.0, 249.5 } ;
120 AliTPCCorrection::AliTPCCorrection()
121 : TNamed("correction_unity","unity"),fJLow(0),fKLow(0), fT1(1), fT2(1)
124 // default constructor
128 AliTPCCorrection::AliTPCCorrection(const char *name,const char *title)
129 : TNamed(name,title),fJLow(0),fKLow(0), fT1(1), fT2(1)
132 // default constructor, that set the name and title
136 AliTPCCorrection::~AliTPCCorrection() {
138 // virtual destructor
142 void AliTPCCorrection::CorrectPoint(Float_t x[],const Short_t roc) {
144 // Corrects the initial coordinates x (cartesian coordinates)
145 // according to the given effect (inherited classes)
146 // roc represents the TPC read out chamber (offline numbering convention)
149 GetCorrection(x,roc,dx);
150 for (Int_t j=0;j<3;++j) x[j]+=dx[j];
153 void AliTPCCorrection::CorrectPoint(const Float_t x[],const Short_t roc,Float_t xp[]) {
155 // Corrects the initial coordinates x (cartesian coordinates) and stores the new
156 // (distorted) coordinates in xp. The distortion is set according to the given effect (inherited classes)
157 // roc represents the TPC read out chamber (offline numbering convention)
160 GetCorrection(x,roc,dx);
161 for (Int_t j=0;j<3;++j) xp[j]=x[j]+dx[j];
164 void AliTPCCorrection::DistortPoint(Float_t x[],const Short_t roc) {
166 // Distorts the initial coordinates x (cartesian coordinates)
167 // according to the given effect (inherited classes)
168 // roc represents the TPC read out chamber (offline numbering convention)
171 GetDistortion(x,roc,dx);
172 for (Int_t j=0;j<3;++j) x[j]+=dx[j];
175 void AliTPCCorrection::DistortPoint(const Float_t x[],const Short_t roc,Float_t xp[]) {
177 // Distorts the initial coordinates x (cartesian coordinates) and stores the new
178 // (distorted) coordinates in xp. The distortion is set according to the given effect (inherited classes)
179 // roc represents the TPC read out chamber (offline numbering convention)
182 GetDistortion(x,roc,dx);
183 for (Int_t j=0;j<3;++j) xp[j]=x[j]+dx[j];
186 void AliTPCCorrection::GetCorrection(const Float_t /*x*/[],const Short_t /*roc*/,Float_t dx[]) {
188 // This function delivers the correction values dx in respect to the inital coordinates x
189 // roc represents the TPC read out chamber (offline numbering convention)
190 // Note: The dx is overwritten by the inherited effectice class ...
192 for (Int_t j=0;j<3;++j) { dx[j]=0.; }
195 void AliTPCCorrection::GetDistortion(const Float_t x[],const Short_t roc,Float_t dx[]) {
197 // This function delivers the distortion values dx in respect to the inital coordinates x
198 // roc represents the TPC read out chamber (offline numbering convention)
200 GetCorrection(x,roc,dx);
201 for (Int_t j=0;j<3;++j) dx[j]=-dx[j];
204 void AliTPCCorrection::Init() {
206 // Initialization funtion (not used at the moment)
210 void AliTPCCorrection::Update(const TTimeStamp &/*timeStamp*/) {
216 void AliTPCCorrection::Print(Option_t* /*option*/) const {
218 // Print function to check which correction classes are used
219 // option=="d" prints details regarding the setted magnitude
220 // option=="a" prints the C0 and C1 coefficents for calibration purposes
222 printf("TPC spacepoint correction: \"%s\"\n",GetTitle());
225 void AliTPCCorrection:: SetOmegaTauT1T2(Float_t /*omegaTau*/,Float_t t1,Float_t t2) {
227 // Virtual funtion to pass the wt values (might become event dependent) to the inherited classes
228 // t1 and t2 represent the "effective omegaTau" corrections and were measured in a dedicated
233 //SetOmegaTauT1T2(omegaTau, t1, t2);
236 TH2F* AliTPCCorrection::CreateHistoDRinXY(Float_t z,Int_t nx,Int_t ny) {
238 // Simple plot functionality.
239 // Returns a 2d hisogram which represents the corrections in radial direction (dr)
240 // in respect to position z within the XY plane.
241 // The histogramm has nx times ny entries.
244 TH2F *h=CreateTH2F("dr_xy",GetTitle(),"x [cm]","y [cm]","dr [cm]",
245 nx,-250.,250.,ny,-250.,250.);
248 Int_t roc=z>0.?0:18; // FIXME
249 for (Int_t iy=1;iy<=ny;++iy) {
250 x[1]=h->GetYaxis()->GetBinCenter(iy);
251 for (Int_t ix=1;ix<=nx;++ix) {
252 x[0]=h->GetXaxis()->GetBinCenter(ix);
253 GetCorrection(x,roc,dx);
254 Float_t r0=TMath::Sqrt((x[0] )*(x[0] )+(x[1] )*(x[1] ));
255 if (90.<=r0 && r0<=250.) {
256 Float_t r1=TMath::Sqrt((x[0]+dx[0])*(x[0]+dx[0])+(x[1]+dx[1])*(x[1]+dx[1]));
257 h->SetBinContent(ix,iy,r1-r0);
260 h->SetBinContent(ix,iy,0.);
266 TH2F* AliTPCCorrection::CreateHistoDRPhiinXY(Float_t z,Int_t nx,Int_t ny) {
268 // Simple plot functionality.
269 // Returns a 2d hisogram which represents the corrections in rphi direction (drphi)
270 // in respect to position z within the XY plane.
271 // The histogramm has nx times ny entries.
274 TH2F *h=CreateTH2F("drphi_xy",GetTitle(),"x [cm]","y [cm]","drphi [cm]",
275 nx,-250.,250.,ny,-250.,250.);
278 Int_t roc=z>0.?0:18; // FIXME
279 for (Int_t iy=1;iy<=ny;++iy) {
280 x[1]=h->GetYaxis()->GetBinCenter(iy);
281 for (Int_t ix=1;ix<=nx;++ix) {
282 x[0]=h->GetXaxis()->GetBinCenter(ix);
283 GetCorrection(x,roc,dx);
284 Float_t r0=TMath::Sqrt((x[0] )*(x[0] )+(x[1] )*(x[1] ));
285 if (90.<=r0 && r0<=250.) {
286 Float_t phi0=TMath::ATan2(x[1] ,x[0] );
287 Float_t phi1=TMath::ATan2(x[1]+dx[1],x[0]+dx[0]);
289 Float_t dphi=phi1-phi0;
290 if (dphi<TMath::Pi()) dphi+=TMath::TwoPi();
291 if (dphi>TMath::Pi()) dphi-=TMath::TwoPi();
293 h->SetBinContent(ix,iy,r0*dphi);
296 h->SetBinContent(ix,iy,0.);
302 TH2F* AliTPCCorrection::CreateHistoDRinZR(Float_t phi,Int_t nz,Int_t nr) {
304 // Simple plot functionality.
305 // Returns a 2d hisogram which represents the corrections in r direction (dr)
306 // in respect to angle phi within the ZR plane.
307 // The histogramm has nx times ny entries.
309 TH2F *h=CreateTH2F("dr_zr",GetTitle(),"z [cm]","r [cm]","dr [cm]",
310 nz,-250.,250.,nr,85.,250.);
312 for (Int_t ir=1;ir<=nr;++ir) {
313 Float_t radius=h->GetYaxis()->GetBinCenter(ir);
314 x[0]=radius*TMath::Cos(phi);
315 x[1]=radius*TMath::Sin(phi);
316 for (Int_t iz=1;iz<=nz;++iz) {
317 x[2]=h->GetXaxis()->GetBinCenter(iz);
318 Int_t roc=x[2]>0.?0:18; // FIXME
319 GetCorrection(x,roc,dx);
320 Float_t r0=TMath::Sqrt((x[0] )*(x[0] )+(x[1] )*(x[1] ));
321 Float_t r1=TMath::Sqrt((x[0]+dx[0])*(x[0]+dx[0])+(x[1]+dx[1])*(x[1]+dx[1]));
322 h->SetBinContent(iz,ir,r1-r0);
330 TH2F* AliTPCCorrection::CreateHistoDRPhiinZR(Float_t phi,Int_t nz,Int_t nr) {
332 // Simple plot functionality.
333 // Returns a 2d hisogram which represents the corrections in rphi direction (drphi)
334 // in respect to angle phi within the ZR plane.
335 // The histogramm has nx times ny entries.
337 TH2F *h=CreateTH2F("drphi_zr",GetTitle(),"z [cm]","r [cm]","drphi [cm]",
338 nz,-250.,250.,nr,85.,250.);
340 for (Int_t iz=1;iz<=nz;++iz) {
341 x[2]=h->GetXaxis()->GetBinCenter(iz);
342 Int_t roc=x[2]>0.?0:18; // FIXME
343 for (Int_t ir=1;ir<=nr;++ir) {
344 Float_t radius=h->GetYaxis()->GetBinCenter(ir);
345 x[0]=radius*TMath::Cos(phi);
346 x[1]=radius*TMath::Sin(phi);
347 GetCorrection(x,roc,dx);
348 Float_t r0=TMath::Sqrt((x[0] )*(x[0] )+(x[1] )*(x[1] ));
349 Float_t phi0=TMath::ATan2(x[1] ,x[0] );
350 Float_t phi1=TMath::ATan2(x[1]+dx[1],x[0]+dx[0]);
352 Float_t dphi=phi1-phi0;
353 if (dphi<TMath::Pi()) dphi+=TMath::TwoPi();
354 if (dphi>TMath::Pi()) dphi-=TMath::TwoPi();
356 h->SetBinContent(iz,ir,r0*dphi);
362 TH2F* AliTPCCorrection::CreateTH2F(const char *name,const char *title,
363 const char *xlabel,const char *ylabel,const char *zlabel,
364 Int_t nbinsx,Double_t xlow,Double_t xup,
365 Int_t nbinsy,Double_t ylow,Double_t yup) {
367 // Helper function to create a 2d histogramm of given size
373 while (gDirectory->FindObject(hname.Data())) {
380 TH2F *h=new TH2F(hname.Data(),title,
383 h->GetXaxis()->SetTitle(xlabel);
384 h->GetYaxis()->SetTitle(ylabel);
385 h->GetZaxis()->SetTitle(zlabel);
391 // Simple Interpolation functions: e.g. with bi(tri)cubic interpolations (not yet in TH2 and TH3)
393 void AliTPCCorrection::Interpolate2DEdistortion( const Int_t order, const Double_t r, const Double_t z,
394 const Double_t er[kNZ][kNR], Double_t &erValue ) {
396 // Interpolate table - 2D interpolation
398 Double_t saveEr[10] ;
400 Search( kNZ, fgkZList, z, fJLow ) ;
401 Search( kNR, fgkRList, r, fKLow ) ;
402 if ( fJLow < 0 ) fJLow = 0 ; // check if out of range
403 if ( fKLow < 0 ) fKLow = 0 ;
404 if ( fJLow + order >= kNZ - 1 ) fJLow = kNZ - 1 - order ;
405 if ( fKLow + order >= kNR - 1 ) fKLow = kNR - 1 - order ;
407 for ( Int_t j = fJLow ; j < fJLow + order + 1 ; j++ ) {
408 saveEr[j-fJLow] = Interpolate( &fgkRList[fKLow], &er[j][fKLow], order, r ) ;
410 erValue = Interpolate( &fgkZList[fJLow], saveEr, order, z ) ;
415 Double_t AliTPCCorrection::Interpolate( const Double_t xArray[], const Double_t yArray[],
416 const Int_t order, const Double_t x ) {
418 // Interpolate function Y(x) using linear (order=1) or quadratic (order=2) interpolation.
422 if ( order == 2 ) { // Quadratic Interpolation = 2
423 y = (x-xArray[1]) * (x-xArray[2]) * yArray[0] / ( (xArray[0]-xArray[1]) * (xArray[0]-xArray[2]) ) ;
424 y += (x-xArray[2]) * (x-xArray[0]) * yArray[1] / ( (xArray[1]-xArray[2]) * (xArray[1]-xArray[0]) ) ;
425 y += (x-xArray[0]) * (x-xArray[1]) * yArray[2] / ( (xArray[2]-xArray[0]) * (xArray[2]-xArray[1]) ) ;
426 } else { // Linear Interpolation = 1
427 y = yArray[0] + ( yArray[1]-yArray[0] ) * ( x-xArray[0] ) / ( xArray[1] - xArray[0] ) ;
435 void AliTPCCorrection::Search( const Int_t n, const Double_t xArray[], const Double_t x, Int_t &low ) {
437 // Search an ordered table by starting at the most recently used point
440 Long_t middle, high ;
441 Int_t ascend = 0, increment = 1 ;
443 if ( xArray[n-1] >= xArray[0] ) ascend = 1 ; // Ascending ordered table if true
445 if ( low < 0 || low > n-1 ) {
446 low = -1 ; high = n ;
447 } else { // Ordered Search phase
448 if ( (Int_t)( x >= xArray[low] ) == ascend ) {
449 if ( low == n-1 ) return ;
451 while ( (Int_t)( x >= xArray[high] ) == ascend ) {
454 high = low + increment ;
455 if ( high > n-1 ) { high = n ; break ; }
458 if ( low == 0 ) { low = -1 ; return ; }
460 while ( (Int_t)( x < xArray[low] ) == ascend ) {
463 if ( increment >= high ) { low = -1 ; break ; }
464 else low = high - increment ;
469 while ( (high-low) != 1 ) { // Binary Search Phase
470 middle = ( high + low ) / 2 ;
471 if ( (Int_t)( x >= xArray[middle] ) == ascend )
477 if ( x == xArray[n-1] ) low = n-2 ;
478 if ( x == xArray[0] ) low = 0 ;
483 AliExternalTrackParam * AliTPCCorrection::FitDistortedTrack(AliExternalTrackParam & trackIn, Double_t refX, Int_t dir, TTreeSRedirector * const pcstream){
485 // Fit the track parameters - without and with distortion
486 // 1. Space points in the TPC are simulated along the trajectory
487 // 2. Space points distorted
488 // 3. Fits the non distorted and distroted track to the reference plane at refX
489 // 4. For visualization and debugging purposes the space points and tracks can be stored in the tree - using the TTreeSRedirector functionality
491 // trackIn - input track parameters
492 // refX - reference X to fit the track
493 // dir - direction - out=1 or in=-1
494 // pcstream - debug streamer to check the results
496 // see AliExternalTrackParam.h documentation:
497 // track1.fP[0] - local y (rphi)
499 // track1.fP[2] - sinus of local inclination angle
500 // track1.fP[3] - tangent of deep angle
501 // track1.fP[4] - 1/pt
502 AliTPCROC * roc = AliTPCROC::Instance();
503 const Int_t npoints0=roc->GetNRows(0)+roc->GetNRows(36);
504 const Double_t kRTPC0 =roc->GetPadRowRadii(0,0);
505 const Double_t kRTPC1 =roc->GetPadRowRadii(36,roc->GetNRows(36)-1);
507 const Double_t kMaxSnp = 0.85;
508 const Double_t kSigmaY=0.1;
509 const Double_t kSigmaZ=0.1;
510 const Double_t kMass = TDatabasePDG::Instance()->GetParticle("pi+")->Mass();
512 AliExternalTrackParam track(trackIn); //
514 AliTrackPointArray pointArray0(npoints0);
515 AliTrackPointArray pointArray1(npoints0);
517 AliTrackerBase::PropagateTrackToBxByBz(&track,kRTPC0,kMass,3,kTRUE,kMaxSnp);
519 // simulate the track
521 Float_t covPoint[6]={0,0,0, kSigmaY*kSigmaY,0,kSigmaZ*kSigmaZ}; //covariance at the local frame
522 for (Double_t radius=kRTPC0; radius<kRTPC1; radius++){
523 AliTrackerBase::PropagateTrackToBxByBz(&track,radius,kMass,3,kTRUE,kMaxSnp);
525 xyz[0]+=gRandom->Gaus(0,0.001);
526 xyz[1]+=gRandom->Gaus(0,0.001);
527 AliTrackPoint pIn0; // space point
529 Int_t sector= (xyz[2]>0)? 0:18;
530 pointArray0.GetPoint(pIn0,npoints);
531 pointArray1.GetPoint(pIn1,npoints);
532 Double_t alpha = TMath::ATan2(xyz[1],xyz[0]);
533 Float_t distPoint[3]={xyz[0],xyz[1],xyz[2]};
534 DistortPoint(distPoint, sector);
535 pIn0.SetXYZ(xyz[0], xyz[1],xyz[2]);
536 pIn1.SetXYZ(distPoint[0], distPoint[1],distPoint[2]);
539 AliTrackPoint prot0 = pIn0.Rotate(alpha); // rotate to the local frame - non distoted point
540 AliTrackPoint prot1 = pIn1.Rotate(alpha); // rotate to the local frame - distorted point
541 prot0.SetXYZ(prot0.GetX(),prot0.GetY(), prot0.GetZ(),covPoint);
542 prot1.SetXYZ(prot1.GetX(),prot1.GetY(), prot1.GetZ(),covPoint);
543 pIn0=prot0.Rotate(-alpha); // rotate back to global frame
544 pIn1=prot1.Rotate(-alpha); // rotate back to global frame
545 pointArray0.AddPoint(npoints, &pIn0);
546 pointArray1.AddPoint(npoints, &pIn1);
548 if (npoints>=npoints0) break;
553 AliExternalTrackParam *track0=0;
554 AliExternalTrackParam *track1=0;
555 AliTrackPoint point1,point2,point3;
556 if (dir==1) { //make seed inner
557 pointArray0.GetPoint(point1,1);
558 pointArray0.GetPoint(point2,30);
559 pointArray0.GetPoint(point3,60);
561 if (dir==-1){ //make seed outer
562 pointArray0.GetPoint(point1,npoints-60);
563 pointArray0.GetPoint(point2,npoints-30);
564 pointArray0.GetPoint(point3,npoints-1);
566 track0 = AliTrackerBase::MakeSeed(point1, point2, point3);
567 track1 = AliTrackerBase::MakeSeed(point1, point2, point3);
570 for (Int_t jpoint=0; jpoint<npoints; jpoint++){
571 Int_t ipoint= (dir>0) ? jpoint: npoints-1-jpoint;
575 pointArray0.GetPoint(pIn0,ipoint);
576 pointArray1.GetPoint(pIn1,ipoint);
577 AliTrackPoint prot0 = pIn0.Rotate(track0->GetAlpha()); // rotate to the local frame - non distoted point
578 AliTrackPoint prot1 = pIn1.Rotate(track1->GetAlpha()); // rotate to the local frame - distorted point
580 AliTrackerBase::PropagateTrackToBxByBz(track0,prot0.GetX(),kMass,3,kFALSE,kMaxSnp);
581 AliTrackerBase::PropagateTrackToBxByBz(track1,prot0.GetX(),kMass,3,kFALSE,kMaxSnp);
582 track.GetXYZ(xyz); // distorted track also propagated to the same reference radius
584 Double_t pointPos[2]={0,0};
585 Double_t pointCov[3]={0,0,0};
586 pointPos[0]=prot0.GetY();//local y
587 pointPos[1]=prot0.GetZ();//local z
588 pointCov[0]=prot0.GetCov()[3];//simay^2
589 pointCov[1]=prot0.GetCov()[4];//sigmayz
590 pointCov[2]=prot0.GetCov()[5];//sigmaz^2
591 track0->Update(pointPos,pointCov);
593 Double_t deltaX=prot1.GetX()-prot0.GetX(); // delta X
594 Double_t deltaYX=deltaX*TMath::Tan(TMath::ASin(track1->GetSnp())); // deltaY due delta X
595 Double_t deltaZX=deltaX*track1->GetTgl(); // deltaZ due delta X
597 pointPos[0]=prot1.GetY()-deltaYX;//local y
598 pointPos[1]=prot1.GetZ()-deltaZX;//local z
599 pointCov[0]=prot1.GetCov()[3];//simay^2
600 pointCov[1]=prot1.GetCov()[4];//sigmayz
601 pointCov[2]=prot1.GetCov()[5];//sigmaz^2
602 track1->Update(pointPos,pointCov);
605 AliTrackerBase::PropagateTrackToBxByBz(track0,refX,kMass,2.,kTRUE,kMaxSnp);
606 track1->Rotate(track0->GetAlpha());
607 track1->PropagateTo(track0->GetX(),AliTrackerBase::GetBz());
609 if (pcstream) (*pcstream)<<Form("fitDistort%s",GetName())<<
610 "point0.="<<&pointArray0<< // points
611 "point1.="<<&pointArray1<< // distorted points
612 "trackIn.="<<&track<< // original track
613 "track0.="<<track0<< // fitted track
614 "track1.="<<track1<< // fitted distorted track
616 new(&trackIn) AliExternalTrackParam(*track0);
625 TTree* AliTPCCorrection::CreateDistortionTree(Double_t step){
627 // create the distortion tree on a mesh with granularity given by step
628 // return the tree with distortions at given position
629 // Map is created on the mesh with given step size
631 TTreeSRedirector *pcstream = new TTreeSRedirector(Form("correction%s.root",GetName()));
633 for (Double_t x= -250; x<250; x+=step){
634 for (Double_t y= -250; y<250; y+=step){
635 Double_t r = TMath::Sqrt(x*x+y*y);
638 for (Double_t z= -250; z<250; z+=step){
639 Int_t roc=(z>0)?0:18;
643 Double_t phi = TMath::ATan2(y,x);
644 DistortPoint(xyz,roc);
645 Double_t r1 = TMath::Sqrt(xyz[0]*xyz[0]+xyz[1]*xyz[1]);
646 Double_t phi1 = TMath::ATan2(xyz[1],xyz[0]);
647 if ((phi1-phi)>TMath::Pi()) phi1-=TMath::Pi();
648 if ((phi1-phi)<-TMath::Pi()) phi1+=TMath::Pi();
649 Double_t dx = xyz[0]-x;
650 Double_t dy = xyz[1]-y;
651 Double_t dz = xyz[2]-z;
653 Double_t drphi=(phi1-phi)*r;
654 (*pcstream)<<"distortion"<<
655 "x="<<x<< // original position
660 "x1="<<xyz[0]<< // distorted position
666 "dx="<<dx<< // delta position
676 TFile f(Form("correction%s.root",GetName()));
677 TTree * tree = (TTree*)f.Get("distortion");
678 TTree * tree2= tree->CopyTree("1");
679 tree2->SetName(Form("dist%s",GetName()));
680 tree2->SetDirectory(0);
688 void AliTPCCorrection::MakeTrackDistortionTree(TTree *tinput, Int_t dtype, Int_t ptype, const TObjArray * corrArray, Int_t step, Bool_t debug ){
691 // For each partial correction (specified in array) and given track topology (phi, theta, snp, refX)
692 // calculates partial distortions
693 // Partial distortion is stored in the resulting tree
694 // Output is storred in the file distortion_<dettype>_<partype>.root
695 // Partial distortion is stored with the name given by correction name
698 // Parameters of function:
699 // input - input tree
700 // dtype - distortion type 0 - ITSTPC, 1 -TPCTRD, 2 - TPCvertex
701 // ppype - parameter type
702 // corrArray - array with partial corrections
703 // step - skipe entries - if 1 all entries processed - it is slow
704 // debug 0 if debug on also space points dumped - it is slow
705 const Double_t kMaxSnp = 0.85;
706 const Double_t kMass = TDatabasePDG::Instance()->GetParticle("pi+")->Mass();
707 // const Double_t kB2C=-0.299792458e-3;
708 const Int_t kMinEntries=50;
709 Double_t phi,theta, snp, mean,rms, entries;
710 tinput->SetBranchAddress("theta",&theta);
711 tinput->SetBranchAddress("phi", &phi);
712 tinput->SetBranchAddress("snp",&snp);
713 tinput->SetBranchAddress("mean",&mean);
714 tinput->SetBranchAddress("rms",&rms);
715 tinput->SetBranchAddress("entries",&entries);
716 TTreeSRedirector *pcstream = new TTreeSRedirector(Form("distortion%d_%d.root",dtype,ptype));
718 Int_t nentries=tinput->GetEntries();
719 Int_t ncorr=corrArray->GetEntries();
720 Double_t corrections[100]; //
722 Double_t cov[15]={0,0,0,0,0,0,0,0,0,0,0,0,0,0};
725 if (dtype==0) {refX=85; dir=-1;}
726 if (dtype==1) {refX=275; dir=1;}
727 if (dtype==2) {refX=85; dir=-1;}
729 for (Int_t ientry=0; ientry<nentries; ientry+=step){
730 tinput->GetEntry(ientry);
735 tPar[4]=(gRandom->Rndm()-0.5)*0.02; // should be calculated - non equal to 0
736 Double_t bz=AliTrackerBase::GetBz();
737 if (refX>10. && TMath::Abs(bz)>0.1 ) tPar[4]=snp/(refX*bz*kB2C*2);
738 tPar[4]+=(gRandom->Rndm()-0.5)*0.02;
739 if (TMath::Abs(snp)>0.251) continue;
741 "bz="<<bz<< // magnetic filed used
742 "dtype="<<dtype<< // detector match type
743 "ptype="<<ptype<< // parameter type
744 "theta="<<theta<< // theta
747 "mean="<<mean<< // mean dist value
749 "entries="<<entries;// number of entries in bin
751 for (Int_t icorr=0; icorr<ncorr; icorr++) {
752 AliTPCCorrection *corr = (AliTPCCorrection*)corrArray->At(icorr);
753 corrections[icorr]=0;
754 if (entries>kMinEntries){
755 AliExternalTrackParam trackIn(refX,phi,tPar,cov);
756 AliExternalTrackParam *trackOut = 0;
757 if (debug) trackOut=corr->FitDistortedTrack(trackIn, refX, dir,pcstream);
758 if (!debug) trackOut=corr->FitDistortedTrack(trackIn, refX, dir,0);
759 if (dtype==0) {refX=85; dir=-1;}
760 if (dtype==1) {refX=275; dir=1;}
761 if (dtype==2) {refX=0; dir=-1;}
763 AliTrackerBase::PropagateTrackToBxByBz(&trackIn,refX,kMass,3,kTRUE,kMaxSnp);
764 AliTrackerBase::PropagateTrackToBxByBz(trackOut,refX,kMass,3,kTRUE,kMaxSnp);
766 corrections[icorr]= trackOut->GetParameter()[ptype]-trackIn.GetParameter()[ptype];
770 Form("%s=",corr->GetName())<<corrections[icorr]; // dump correction value
772 (*pcstream)<<"fit"<<"\n";
780 void AliTPCCorrection::MakeDistortionMap(THnSparse * his0, TTreeSRedirector * const pcstream, const char* hname, Int_t run){
782 // make a distortion map out ou fthe residual histogram
783 // Results are written to the debug streamer - pcstream
785 // his0 - input (4D) residual histogram
786 // pcstream - file to write the tree
788 // marian.ivanov@cern.ch
789 const Int_t kMinEntries=50;
790 Int_t nbins1=his0->GetAxis(1)->GetNbins();
791 Int_t first1=his0->GetAxis(1)->GetFirst();
792 Int_t last1 =his0->GetAxis(1)->GetLast();
794 Double_t bz=AliTrackerBase::GetBz();
795 Int_t idim[4]={0,1,2,3};
796 for (Int_t ibin1=first1; ibin1<last1; ibin1++){ //axis 1 - theta
798 his0->GetAxis(1)->SetRange(TMath::Max(ibin1,1),TMath::Min(ibin1,nbins1));
799 Double_t x1= his0->GetAxis(1)->GetBinCenter(ibin1);
800 THnSparse * his1 = his0->Projection(4,idim); // projected histogram according range1
801 Int_t nbins3 = his1->GetAxis(3)->GetNbins();
802 Int_t first3 = his1->GetAxis(3)->GetFirst();
803 Int_t last3 = his1->GetAxis(3)->GetLast();
806 for (Int_t ibin3=first3-1; ibin3<last3; ibin3+=1){ // axis 3 - local angle
807 his1->GetAxis(3)->SetRange(TMath::Max(ibin3-1,1),TMath::Min(ibin3+1,nbins3));
808 Double_t x3= his1->GetAxis(3)->GetBinCenter(ibin3);
810 his1->GetAxis(3)->SetRangeUser(-1,1);
813 THnSparse * his3= his1->Projection(4,idim); //projected histogram according selection 3
814 Int_t nbins2 = his3->GetAxis(2)->GetNbins();
815 Int_t first2 = his3->GetAxis(2)->GetFirst();
816 Int_t last2 = his3->GetAxis(2)->GetLast();
818 for (Int_t ibin2=first2; ibin2<last2; ibin2+=1){
819 his3->GetAxis(2)->SetRange(TMath::Max(ibin2-1,1),TMath::Min(ibin2+1,nbins2));
820 Double_t x2= his3->GetAxis(2)->GetBinCenter(ibin2);
821 TH1 * hisDelta = his3->Projection(0);
823 Double_t entries = hisDelta->GetEntries();
824 Double_t mean=0, rms=0;
825 if (entries>kMinEntries){
826 mean = hisDelta->GetMean();
827 rms = hisDelta->GetRMS();
835 "entries="<<entries<<
840 printf("%f\t%f\t%f\t%f\t%f\n",x1,x3,x2, entries,mean);
852 void AliTPCCorrection::StoreInOCDB(Int_t startRun, Int_t endRun, const char *comment){
854 // Store object in the OCDB
855 // By default the object is stored in the current directory
856 // default comment consit of user name and the date
858 TString ocdbStorage="";
859 ocdbStorage+="local://"+gSystem->GetFromPipe("pwd")+"/OCDB";
860 AliCDBMetaData *metaData= new AliCDBMetaData();
861 metaData->SetObjectClassName("AliTPCCorrection");
862 metaData->SetResponsible("Marian Ivanov");
863 metaData->SetBeamPeriod(1);
864 metaData->SetAliRootVersion("05-25-01"); //root version
865 TString userName=gSystem->GetFromPipe("echo $USER");
866 TString date=gSystem->GetFromPipe("date");
868 if (!comment) metaData->SetComment(Form("Space point distortion calibration\n User: %s\n Data%s",userName.Data(),date.Data()));
869 if (comment) metaData->SetComment(comment);
871 id1=new AliCDBId("TPC/Calib/Correction", startRun, endRun);
872 AliCDBStorage* gStorage = AliCDBManager::Instance()->GetStorage(ocdbStorage);
873 gStorage->Put(this, (*id1), metaData);