/*************************************************************************** * Copyright(c) 1998-1999, 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. * **************************************************************************/ //-----------------------------------------------------// // // // Source File : PMDClusteringV2.cxx // // // // clustering code for alice pmd // // // //-----------------------------------------------------// /* -------------------------------------------------------------------- Code developed by S. C. Phatak, Institute of Physics, Bhubaneswar 751 005 ( phatak@iopb.res.in ) Given the energy deposited ( or ADC value ) in each cell of supermodule ( pmd or cpv ), the code builds up superclusters and breaks them into clusters. The input is in array fEdepCell[kNDIMX][kNDIMY] and cluster information is in array fClusters[5][5000]. integer fClno gives total number of clusters in the supermodule. fEdepCell, fClno and fClusters are the only global ( public ) variables. Others are local ( private ) to the code. At the moment, the data is read for whole detector ( all supermodules and pmd as well as cpv. This will have to be modify later ) LAST UPDATE : October 23, 2002 -----------------------------------------------------------------------*/ #include "Riostream.h" #include #include #include "AliPMDcluster.h" #include "AliPMDClustering.h" #include "AliPMDClusteringV2.h" #include "AliLog.h" ClassImp(AliPMDClusteringV2) const Double_t AliPMDClusteringV2::fgkSqroot3by2=0.8660254; // sqrt(3.)/2. AliPMDClusteringV2::AliPMDClusteringV2(): fCutoff(0.0) { for(int i = 0; i < kNDIMX; i++) { for(int j = 0; j < kNDIMY; j++) { fCoord[0][i][j] = i+j/2.; fCoord[1][i][j] = fgkSqroot3by2*j; fEdepCell[i][j] = 0; } } } // ------------------------------------------------------------------------ // AliPMDClusteringV2::~AliPMDClusteringV2() { } // ------------------------------------------------------------------------ // void AliPMDClusteringV2::DoClust(Int_t idet, Int_t ismn, Double_t celladc[48][96], TObjArray *pmdcont) { // main function to call other necessary functions to do clustering // AliPMDcluster *pmdcl = 0; Int_t i, i1, i2, j, nmx1, incr, id, jd; Int_t celldataX[15], celldataY[15]; Float_t clusdata[6]; Double_t cutoff, ave; const float ktwobysqrt3 = 1.1547; // 2./sqrt(3.) Int_t ndimXr =0; Int_t ndimYr =0; if (ismn < 12) { ndimXr = 96; ndimYr = 48; } else if (ismn >= 12 && ismn <= 23) { ndimXr = 48; ndimYr = 96; } for (Int_t i =0; i < kNDIMX; i++) { for (Int_t j =0; j < kNDIMY; j++) { fEdepCell[i][j] = 0; } } for (id = 0; id < ndimXr; id++) { for (jd = 0; jd < ndimYr; jd++) { j=jd; i=id+(ndimYr/2-1)-(jd/2); if (ismn < 12) { fEdepCell[i][j] = celladc[jd][id]; } else if (ismn >= 12 && ismn <= 23) { fEdepCell[i][j] = celladc[id][jd]; } } } Order(); // order the data cutoff = fCutoff; // cutoff used to discard cells having ener. dep. ave=0.; nmx1=-1; for(j=0;j 0.) {ave = ave + fEdepCell[i1][i2];} if (fEdepCell[i1][i2] > cutoff ) nmx1 = nmx1 + 1; } // nmx1 --- number of cells having ener dep >= cutoff AliDebug(1,Form("Number of cells having energy >= %f are %d",cutoff,nmx1)); if (nmx1 == 0) nmx1 = 1; ave=ave/nmx1; AliDebug(1,Form("Number of cells in a SuperM = %d and Average = %f", kNMX,ave)); incr = CrClust(ave, cutoff, nmx1); RefClust(incr); AliDebug(1,Form("Detector Plane = %d Serial Module No = %d Number of clusters = %d",idet, ismn, fClno)); for(i1=0; i1<=fClno; i1++) { Float_t cluXC = (Float_t) fClusters[0][i1]; Float_t cluYC = (Float_t) fClusters[1][i1]; Float_t cluADC = (Float_t) fClusters[2][i1]; Float_t cluCELLS = (Float_t) fClusters[3][i1]; Float_t sigmaX = (Float_t) fClusters[4][i1]; Float_t sigmaY = (Float_t) fClusters[5][i1]; Float_t cluY0 = ktwobysqrt3*cluYC; Float_t cluX0 = cluXC - cluY0/2.; // // Cluster X centroid is back transformed // if (ismn < 12) { clusdata[0] = cluX0 - (24-1) + cluY0/2.; } else if (ismn >= 12 && ismn <= 23) { clusdata[0] = cluX0 - (48-1) + cluY0/2.; } clusdata[1] = cluY0; clusdata[2] = cluADC; clusdata[3] = cluCELLS; clusdata[4] = sigmaX; clusdata[5] = sigmaY; // // Cells associated with a cluster // for (Int_t ihit = 0; ihit < 15; ihit++) { celldataX[ihit] = 1; // dummy nos. -- will be changed celldataY[ihit] = 1; // dummy nos. -- will be changed } pmdcl = new AliPMDcluster(idet, ismn, clusdata, celldataX, celldataY); pmdcont->Add(pmdcl); } } // ------------------------------------------------------------------------ // void AliPMDClusteringV2::Order() { // Sorting algorithm // sorts the ADC values from higher to lower // double dd[kNMX]; // matrix fEdepCell converted into // one dimensional array dd. adum a place holder for double int i, j, i1, i2, iord1[kNMX]; // information of // ordering is stored in iord1, original array not ordered // // define arrays dd and iord1 for(i1=0; i1 < kNDIMX; i1++) { for(i2=0; i2 < kNDIMY; i2++) { i = i1 + i2*kNDIMX; iord1[i] = i; dd[i] = fEdepCell[i1][i2]; } } // sort and store sorting information in iord1 TMath::Sort(kNMX,dd,iord1); // store the sorted information in fIord for later use for(i=0; i= 0 && jd1 < kNDIMX) && (jd2 >= 0 && jd2 < kNDIMY) && fInfocl[0][jd1][jd2] == 0){ numcell=numcell+1; fInfocl[0][jd1][jd2]=2; fInfocl[1][jd1][jd2]=icl; clust[0][numcell]=jd1; clust[1][numcell]=jd2; cellcount=cellcount+1; fInfcl[0][cellcount]=icl; fInfcl[1][cellcount]=jd1; fInfcl[2][cellcount]=jd2; } } // --------------------------------------------------------------- // check adc count for neighbour's neighbours recursively and // if nonzero, add these to the cluster. // --------------------------------------------------------------- for(i=1;i < 5000;i++){ if(clust[0][i] != -1){ id1=clust[0][i]; id2=clust[1][i]; for(j=0; j<6 ; j++){ jd1=id1+neibx[j]; jd2=id2+neiby[j]; if( (jd1 >= 0 && jd1 < kNDIMX) && (jd2 >= 0 && jd2 < kNDIMY) && fInfocl[0][jd1][jd2] == 0 ){ fInfocl[0][jd1][jd2] = 2; fInfocl[1][jd1][jd2] = icl; numcell = numcell + 1; clust[0][numcell] = jd1; clust[1][numcell] = jd2; cellcount = cellcount+1; fInfcl[0][cellcount] = icl; fInfcl[1][cellcount] = jd1; fInfcl[2][cellcount] = jd2; } } } } } } // for(icell=0; icell<=cellcount; icell++){ // ofl0 << fInfcl[0][icell] << " " << fInfcl[1][icell] << " " << // fInfcl[2][icell] << endl; // } return cellcount; } // ------------------------------------------------------------------------ // void AliPMDClusteringV2::RefClust(Int_t incr) { // Does the refining of clusters // Takes the big patch and does gaussian fitting and // finds out the more refined clusters // const Int_t kndim = 4500; int i, j, k, i1, i2, id, icl, itest; int ihld; int ig, nsupcl; int ncl[kndim], iord[kndim]; double x1, y1, z1, x2, y2, z2; double rr; double x[kndim], y[kndim], z[kndim]; double xc[kndim], yc[kndim], zc[kndim], cells[kndim]; double rcl[kndim], rcs[kndim]; // fClno counts the final clusters // nsupcl = # of superclusters; ncl[i]= # of cells in supercluster i // x, y and z store (x,y) coordinates of and energy deposited in a cell // xc, yc store (x,y) coordinates of the cluster center // zc stores the energy deposited in a cluster // rc is cluster radius // finally the cluster information is put in 2-dimensional array clusters // ofstream ofl1("checking.5",ios::app); fClno = -1; nsupcl = -1; for(i=0; i<4500; i++){ncl[i]=-1;} for(i=0; i 4500) { AliWarning("RefClust: Too many superclusters!"); nsupcl = 4500; break; } ncl[nsupcl]=ncl[nsupcl]+1; } AliDebug(1,Form("Number of cells = %d Number of Superclusters = %d", incr+1,nsupcl+1)); id=-1; icl=-1; for(i=0; i single cluster // cluster center at the centyer of the cell // cluster radius = half cell dimension if (fClno >= 5000) { AliWarning("RefClust: Too many clusters! more than 5000"); return; } fClno++; i1 = fInfcl[1][id]; i2 = fInfcl[2][id]; fClusters[0][fClno] = fCoord[0][i1][i2]; fClusters[1][fClno] = fCoord[1][i1][i2]; fClusters[2][fClno] = fEdepCell[i1][i2]; fClusters[3][fClno] = 1.; fClusters[4][fClno] = 0.0; fClusters[5][fClno] = 0.0; //ofl1 << icl << " " << fCoord[0][i1][i2] << " " << fCoord[1][i1][i2] << //" " << fEdepCell[i1][i2] << " " << fClusters[3][fClno] < single cluster // cluster center is at ener. dep.-weighted mean of two cells // cluster radius == half cell dimension id++; icl++; if (fClno >= 5000) { AliWarning("RefClust: Too many clusters! more than 5000"); return; } fClno++; i1 = fInfcl[1][id]; i2 = fInfcl[2][id]; x1 = fCoord[0][i1][i2]; y1 = fCoord[1][i1][i2]; z1 = fEdepCell[i1][i2]; id++; i1 = fInfcl[1][id]; i2 = fInfcl[2][id]; x2 = fCoord[0][i1][i2]; y2 = fCoord[1][i1][i2]; z2 = fEdepCell[i1][i2]; fClusters[0][fClno] = (x1*z1+x2*z2)/(z1+z2); fClusters[1][fClno] = (y1*z1+y2*z2)/(z1+z2); fClusters[2][fClno] = z1+z2; fClusters[3][fClno] = 2.; fClusters[4][fClno] = sqrt(z1*z2)/(z1+z2); fClusters[5][fClno] = 0; // sigma large nonzero, sigma small zero //ofl1 << icl << " " << fClusters[0][fClno] << " " << fClusters[1][fClno] // << " " << fClusters[2][fClno] << " " < 1 cell) // Begin from cell having largest energy deposited This is first // cluster center // ***************************************************************** // NOTE --- POSSIBLE MODIFICATION: ONE MAY NOT BREAKING SUPERCLUSTERS // IF NO. OF CELLS IS NOT TOO LARGE ( SAY 5 OR 6 ) // SINCE WE EXPECT THE SUPERCLUSTER // TO BE A SINGLE CLUSTER //******************************************************************* i1 = fInfcl[1][id]; i2 = fInfcl[2][id]; x[0] = fCoord[0][i1][i2]; y[0] = fCoord[1][i1][i2]; z[0] = fEdepCell[i1][i2]; iord[0] = 0; for(j=1;j<=ncl[i];j++){ id = id + 1; i1 = fInfcl[1][id]; i2 = fInfcl[2][id]; iord[j] = j; x[j] = fCoord[0][i1][i2]; y[j] = fCoord[1][i1][i2]; z[j] = fEdepCell[i1][i2]; } // arranging cells within supercluster in decreasing order for(j=1;j<=ncl[i];j++) { itest = 0; ihld = iord[j]; for(i1=0; i1=i1;i2--) { iord[i2+1] = iord[i2]; } iord[i1] = ihld; } } } // compute the number of clusters and their centers ( first // guess ) // centers must be separated by cells having smaller ener. dep. // neighbouring centers should be either strong or well-separated ig = 0; xc[ig] = x[iord[0]]; yc[ig] = y[iord[0]]; zc[ig] = z[iord[0]]; for(j=1;j<=ncl[i];j++){ itest = -1; x1 = x[iord[j]]; y1 = y[iord[j]]; for(k=0;k<=ig;k++){ x2 = xc[k]; y2 = yc[k]; rr = Distance(x1,y1,x2,y2); //*************************************************************** // finetuning cluster splitting // the numbers zc/4 and zc/10 may need to be changed. // Also one may need to add one more layer because our // cells are smaller in absolute scale //**************************************************************** if( rr >= 1.1 && rr < 1.8 && z[iord[j]] > zc[k]/4.) itest++; if( rr >= 1.8 && rr < 2.1 && z[iord[j]] > zc[k]/10.) itest++; if( rr >= 2.1)itest++; } if(itest == ig){ ig++; xc[ig] = x1; yc[ig] = y1; zc[ig] = z[iord[j]]; } } ClustDetails(ncl[i], ig, x[0], y[0] ,z[0], xc[0], yc[0], zc[0], rcl[0], rcs[0], cells[0]); icl = icl + ig + 1; for(j=0; j<=ig; j++) { if (fClno >= 5000) { AliWarning("RefClust: Too many clusters! more than 5000"); return; } fClno++; fClusters[0][fClno] = xc[j]; fClusters[1][fClno] = yc[j]; fClusters[2][fClno] = zc[j]; fClusters[4][fClno] = rcl[j]; fClusters[5][fClno] = rcs[j]; if(ig == 0) { fClusters[3][fClno] = ncl[i]; } else { fClusters[3][fClno] = cells[j]; } } } } } // ------------------------------------------------------------------------ // void AliPMDClusteringV2::ClustDetails(Int_t ncell, Int_t nclust, Double_t &x, Double_t &y, Double_t &z, Double_t &xc, Double_t &yc, Double_t &zc, Double_t &rcl, Double_t &rcs, Double_t &cells) { // function begins // const Int_t kndim1 = 4500; const Int_t kndim2 = 10; const Int_t kndim3 = 100; int i, j, k, i1, i2; int cluster[kndim1][kndim2]; double x1, y1, x2, y2, rr; double sumx, sumy, sumxy, sumxx; double sum, sum1, sumyy; double b, c, r1, r2; double xx[kndim1], yy[kndim1], zz[kndim1]; double xxc[kndim1], yyc[kndim1]; double str[kndim1]; double str1[kndim1]; double xcl[kndim1], ycl[kndim1], cln[kndim1]; double clustcell[kndim1][kndim3]; for(i=0; i<=nclust; i++){ xxc[i]=*(&xc+i); yyc[i]=*(&yc+i); str[i]=0.; str1[i]=0.; } for(i=0; i<=ncell; i++){ xx[i]=*(&x+i); yy[i]=*(&y+i); zz[i]=*(&z+i); } // INITIALIZE for(i=0; i<4500; i++){ for(j=0; j<100; j++){ clustcell[i][j]=0.; } } // INITIALIZE for(i=0;i<4500;i++){ for(j=0;j<10;j++){ cluster[i][j]=0; } } if(nclust > 0){ // more than one cluster // checking cells shared between several clusters. // First check if the cell is within // one cell unit ( nearest neighbour). Else, // if it is within 1.74 cell units ( next nearest ) // Else if it is upto 2 cell units etc. for (i=0; i<=ncell; i++){ x1 = xx[i]; y1 = yy[i]; cluster[i][0] = 0; // distance <= 1 cell unit for(j=0; j<=nclust; j++) { x2 = xxc[j]; y2 = yyc[j]; rr = Distance(x1, y1, x2, y2); if(rr <= 1.) { cluster[i][0]++; i1 = cluster[i][0]; cluster[i][i1] = j; } } // next nearest neighbour if(cluster[i][0] == 0) { for(j=0; j<=nclust; j++) { x2 = xxc[j]; y2 = yyc[j]; rr = Distance(x1, y1, x2, y2); if(rr <= sqrt(3.)) { cluster[i][0]++; i1 = cluster[i][0]; cluster[i][i1] = j; } } } // next-to-next nearest neighbour if(cluster[i][0] == 0) { for(j=0; j<=nclust; j++) { x2 = xxc[j]; y2 = yyc[j]; rr = Distance(x1, y1, x2, y2); if(rr <= 2.) { cluster[i][0]++; i1 = cluster[i][0]; cluster[i][i1] = j; } } } // one more if(cluster[i][0] == 0) { for(j=0; j<=nclust; j++) { x2 = xxc[j]; y2 = yyc[j]; rr = Distance(x1, y1, x2, y2); if(rr <= 2.7) { cluster[i][0]++; i1 = cluster[i][0]; cluster[i][i1] = j; } } } } // computing cluster strength. Some cells are shared. for(i=0; i<=ncell; i++){ if(cluster[i][0] != 0){ i1 = cluster[i][0]; for(j=1; j<=i1; j++){ i2 = cluster[i][j]; str[i2] = str[i2]+zz[i]/i1; } } } for(k=0; k<5; k++) { for(i=0; i<=ncell; i++) { if(cluster[i][0] != 0) { i1=cluster[i][0]; sum=0.; for(j=1; j<=i1; j++) { sum=sum+str[cluster[i][j]]; } for(j=1; j<=i1; j++) { i2 = cluster[i][j]; str1[i2] = str1[i2] + zz[i]*str[i2]/sum; clustcell[i2][i] = zz[i]*str[i2]/sum; } } } for(j=0; j<=nclust; j++) { str[j]=str1[j]; str1[j]=0.; } } for(i=0; i<=nclust; i++){ sumx = 0.; sumy = 0.; sum = 0.; sum1 = 0.; for(j=0; j<=ncell; j++){ if(clustcell[i][j] != 0){ sumx = sumx+clustcell[i][j]*xx[j]; sumy = sumy+clustcell[i][j]*yy[j]; sum = sum+clustcell[i][j]; sum1 = sum1+clustcell[i][j]/zz[j]; } } //***** xcl and ycl are cluster centroid positions ( center of gravity ) xcl[i] = sumx/sum; ycl[i] = sumy/sum; cln[i] = sum1; sumxx = 0.; sumyy = 0.; sumxy = 0.; for(j=0; j<=ncell; j++){ sumxx = sumxx+clustcell[i][j]*(xx[j]-xcl[i])*(xx[j]-xcl[i])/sum; sumyy = sumyy+clustcell[i][j]*(yy[j]-ycl[i])*(yy[j]-ycl[i])/sum; sumxy = sumxy+clustcell[i][j]*(xx[j]-xcl[i])*(yy[j]-ycl[i])/sum; } b = sumxx+sumyy; c = sumxx*sumyy-sumxy*sumxy; // ******************r1 and r2 are major and minor axes ( r1 > r2 ). r1 = b/2.+sqrt(b*b/4.-c); r2 = b/2.-sqrt(b*b/4.-c); // final assignments to proper external variables *(&xc + i) = xcl[i]; *(&yc + i) = ycl[i]; *(&zc + i) = str[i]; *(&cells + i) = cln[i]; *(&rcl+i) = r1; *(&rcs+i) = r2; } }else{ sumx = 0.; sumy = 0.; sum = 0.; sum1 = 0.; i = 0; for(j=0; j<=ncell; j++){ sumx = sumx+zz[j]*xx[j]; sumy = sumy+zz[j]*yy[j]; sum = sum+zz[j]; sum1 = sum1+1.; } xcl[i] = sumx/sum; ycl[i] = sumy/sum; cln[i] = sum1; sumxx = 0.; sumyy = 0.; sumxy = 0.; for(j=0; j<=ncell; j++){ sumxx = sumxx+clustcell[i][j]*(xx[j]-xcl[i])*(xx[j]-xcl[i])/sum; sumyy = sumyy+clustcell[i][j]*(yy[j]-ycl[i])*(yy[j]-ycl[i])/sum; sumxy = sumxy+clustcell[i][j]*(xx[j]-xcl[i])*(yy[j]-ycl[i])/sum; } b = sumxx+sumyy; c = sumxx*sumyy-sumxy*sumxy; r1 = b/2.+sqrt(b*b/4.-c); r2 = b/2.-sqrt(b*b/4.-c); // final assignments *(&xc + i) = xcl[i]; *(&yc + i) = ycl[i]; *(&zc + i) = str[i]; *(&cells + i) = cln[i]; *(&rcl+i) = r1; *(&rcs+i) = r2; } } // ------------------------------------------------------------------------ // Double_t AliPMDClusteringV2::Distance(Double_t x1, Double_t y1, Double_t x2, Double_t y2) { return sqrt((x1-x2)*(x1-x2) + (y1-y2)*(y1-y2)); } // ------------------------------------------------------------------------ // void AliPMDClusteringV2::SetEdepCut(Float_t decut) { fCutoff = decut; } // ------------------------------------------------------------------------ //