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4 * Author: The ALICE Off-line Project. *
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16 /* $Id: AliEMCALPIDUtils.cxx 33808 2009-07-15 09:48:08Z gconesab $ */
18 // Compute PID weights for all the clusters that are in AliESDs.root file
19 // the AliESDs.root have to be in the same directory as the class
22 // AliEMCALPIDUtils *pid = new AliEMCALPIDUtils();
23 // pid->SetPrintInfo(kTRUE);
24 // pid->SetHighFluxParam(); // pid->SetLowFluxParam();
26 // then in cluster loop do
27 // pid->ComputePID(energy, lambda0);
29 // Compute PID Weight for all clusters in AliESDs.root file
30 // keep this function for the moment for a simple verification, could be removed
32 // pid->GetPIDFinal(idx) gives the probabilities
34 // Double_t PIDFinal[AliPID::kSPECIESCN] is the standard PID for :
36 // kElectron : fPIDFinal[0]
37 // kMuon : fPIDFinal[1]
38 // kPion : fPIDFinal[2]
39 // kKaon : fPIDFinal[3]
40 // kProton : fPIDFinal[4]
41 // kPhoton : fPIDFinal[5]
42 // kPi0 : fPIDFinal[6]
43 // kNeutron : fPIDFinal[7]
44 // kKaon0 : fPIDFinal[8]
45 // kEleCon : fPIDFinal[9]
46 // kUnknown : fPIDFinal[10]
49 // PID[3] is a simple PID for
50 // Electron & Photon PID[0]
54 // Author: Genole Bourdaud 2007 (SUBATECH)
55 // Marie Germain 07/2009 (SUBATECH), new parametrization for low and high flux environment
56 // Gustavo Conesa 08/2009 (LNF), divide class in AliEMCALPID and AliEMCALPIDUtils, PIDUtils belong to library EMCALUtils
59 // standard C++ includes
60 //#include <Riostream.h>
67 #include "AliEMCALPIDUtils.h"
70 ClassImp(AliEMCALPIDUtils)
72 //______________________________________________
73 AliEMCALPIDUtils::AliEMCALPIDUtils():
74 fPrintInfo(kFALSE), fProbGamma(0.),fProbPiZero(0.),fProbHadron(0.), fWeightHadronEnergy(1.), fWeightGammaEnergy(1.),fWeightPiZeroEnergy(1.)
78 // Initialize all constant values which have to be used
79 // during PID algorithm execution
87 //__________________________________________________________
88 void AliEMCALPIDUtils::ComputePID(Double_t energy, Double_t lambda0)
91 // This is the main command, which uses the distributions computed and parametrised,
92 // and gives the PID by the bayesian method.
95 Double_t weightGammaEnergy = DistEnergy(energy, 1);
96 Double_t weightPiZeroEnergy = DistEnergy(energy, 2);
97 Double_t weightHadronEnergy = DistEnergy(energy, 3);
99 Double_t energyhadron=energy;
100 if(energyhadron<1.)energyhadron=1.; // no energy dependance of parametrisation for hadrons below 1 GeV
101 if (energy<2){energy =2;} // no energy dependance of parametrisation for gamma and pi0 below 2 GeV
106 } // same parametrisation for gamma and hadrons above 55 GeV
107 // for the pi0 above 55GeV the 2 gammas supperposed no way to distinguish from real gamma PIDWeight[1]=0
109 TArrayD paramDistribGamma = DistLambda0(energy, 1);
110 TArrayD paramDistribPiZero = DistLambda0(energy, 2);
111 TArrayD paramDistribHadron = DistLambda0(energyhadron, 3);
113 Bool_t norm = kFALSE;
116 fProbGamma = TMath::Gaus(lambda0, paramDistribGamma[1], paramDistribGamma[2], norm) * paramDistribGamma[0];
117 fProbGamma += TMath::Landau(((1-paramDistribGamma[4])-lambda0),paramDistribGamma[4],paramDistribGamma[5],norm)* paramDistribGamma[3];
118 if(fProbGamma<0.)fProbGamma=0.;
120 fProbGamma = fProbGamma*weightGammaEnergy;
122 if(energy>10. || energy < 55.){
123 fProbPiZero = TMath::Gaus(lambda0, paramDistribPiZero[1], paramDistribPiZero[2], norm) * paramDistribPiZero[0];
124 fProbPiZero += TMath::Landau(lambda0, paramDistribPiZero[4], paramDistribPiZero[5], norm) * paramDistribPiZero[3];
125 if(fProbPiZero<0. || energy<5.)fProbPiZero=0.;
126 fProbPiZero = fProbPiZero*weightPiZeroEnergy;
132 fProbHadron = TMath::Gaus(lambda0, paramDistribHadron[1], paramDistribHadron[2], norm) * paramDistribHadron[0];
133 fProbHadron += TMath::Landau(lambda0, paramDistribHadron[4], paramDistribHadron[5], norm) * paramDistribHadron[3];
134 if(fProbHadron<0.)fProbHadron=0.;
135 fProbHadron = fProbHadron*weightHadronEnergy; // to take into account the probability for a hadron to have a given reconstructed energy
137 // compute PID Weight
138 if( (fProbGamma + fProbPiZero + fProbHadron)>0.){
139 fPIDWeight[0] = fProbGamma / (fProbGamma + fProbPiZero + fProbHadron);
140 fPIDWeight[1] = fProbPiZero / (fProbGamma+fProbPiZero+fProbHadron);
141 fPIDWeight[2] = fProbHadron / (fProbGamma+fProbPiZero+fProbHadron);
144 // cases where energy and lambda0 large, probably du to 2 clusters folded the clusters PID not assigned to hadron nor Pi0 nor gammas
151 // cout << " PID[0] "<< fPIDWeight[0] << " PID[1] "<< fPIDWeight[1] << " PID[2] "<< fPIDWeight[2] << endl;
153 SetPID(fPIDWeight[0], 0);
154 SetPID(fPIDWeight[1], 1);
155 SetPID(fPIDWeight[2], 2);
157 // print pid Weight only for control
159 AliInfo(Form( "Energy in loop = %f", energy) );
160 AliInfo(Form( "Lambda0 in loop = %f", lambda0) );
161 AliInfo(Form( "fProbGamma in loop = %f", fProbGamma) );
162 AliInfo(Form( "fProbaPiZero = %f", fProbPiZero ));
163 AliInfo(Form( "fProbaHadron = %f", fProbHadron) );
164 AliInfo(Form( "PIDWeight in loop = %f ||| %f ||| %f", fPIDWeight[0] , fPIDWeight[1], fPIDWeight[2]) );
165 AliInfo("********************************************************" );
169 fPIDFinal[AliPID::kElectron] = fPIDWeight[0]/2; // photon
170 fPIDFinal[AliPID::kMuon] = fPIDWeight[2]/8;
171 fPIDFinal[AliPID::kPion] = fPIDWeight[2]/8;
172 fPIDFinal[AliPID::kKaon] = fPIDWeight[2]/8;
173 fPIDFinal[AliPID::kProton] = fPIDWeight[2]/8;
175 fPIDFinal[AliPID::kDeuteron] = 0;
176 fPIDFinal[AliPID::kTriton] = 0;
177 fPIDFinal[AliPID::kHe3] = 0;
178 fPIDFinal[AliPID::kAlpha] = 0;
180 fPIDFinal[AliPID::kPhoton] = fPIDWeight[0]/2; // electron
181 fPIDFinal[AliPID::kPi0] = fPIDWeight[1] ; // Pi0
182 fPIDFinal[AliPID::kNeutron] = fPIDWeight[2]/8;
183 fPIDFinal[AliPID::kKaon0] = fPIDWeight[2]/8;
184 fPIDFinal[AliPID::kEleCon] = fPIDWeight[2]/8;
186 fPIDFinal[AliPID::kUnknown] = fPIDWeight[2]/8;
193 //________________________________________________________
194 TArrayD AliEMCALPIDUtils::DistLambda0(const Double_t energy, const Int_t type)
197 // Compute the values of the parametrised distributions using the data initialised before.
199 Double_t constGauss = 0., meanGauss = 0., sigmaGauss = 0.;
200 Double_t constLandau=0., mpvLandau=0., sigmaLandau=0.;
201 TArrayD distributionParam(6);
207 constGauss = PolynomialMixed2(energy, fGamma[0]);
208 meanGauss = PolynomialMixed2(energy, fGamma[1]);
209 sigmaGauss = PolynomialMixed2(energy, fGamma[2]);
210 constLandau = PolynomialMixed2(energy, fGamma[3]);
211 mpvLandau = PolynomialMixed2(energy, fGamma[4]);
212 sigmaLandau = PolynomialMixed2(energy, fGamma[5]);
217 constGauss = PolynomialMixed2(energy, fPiZero[0]);
218 meanGauss = PolynomialMixed2(energy, fPiZero[1]);
219 sigmaGauss = PolynomialMixed2(energy, fPiZero[2]);
220 constLandau = PolynomialMixed2(energy, fPiZero[3]);
221 mpvLandau = PolynomialMixed2(energy, fPiZero[4]);
222 sigmaLandau = PolynomialMixed2(energy, fPiZero[5]);
227 constGauss = PolynomialMixed2(energy, fHadron[0]);
228 meanGauss = PolynomialMixed2(energy, fHadron[1]);
229 sigmaGauss = PolynomialMixed2(energy, fHadron[2]);
230 constLandau = PolynomialMixed2(energy, fHadron[3]);
231 mpvLandau = PolynomialMixed2(energy, fHadron[4]);
232 sigmaLandau = PolynomialMixed2(energy, fHadron[5]);
237 distributionParam[0] = constGauss;
238 distributionParam[1] = meanGauss;
239 distributionParam[2] = sigmaGauss;
240 distributionParam[3] = constLandau;
241 distributionParam[4] = mpvLandau;
242 distributionParam[5] = sigmaLandau;
244 return distributionParam;
247 //________________________________________________________
248 Double_t AliEMCALPIDUtils::DistEnergy(const Double_t energy, const Int_t type)
251 // Compute the values of the weigh for a given energy the parametrised distribution using the data initialised before.
253 Double_t constante = 0.;
264 constante = PowerExp(energy, fHadronEnergyProb);
268 // cout << "Weight " << constante << " for energy "<< energy<< " GeV "<< endl;
274 //_______________________________________________________
275 Double_t AliEMCALPIDUtils::Polynomial(const Double_t x, const Double_t *params) const
278 // Compute a polynomial for a given value of 'x'
279 // with the array of parameters passed as the second arg
282 Double_t y = params[0];
284 y += params[2] * x * x;
285 y += params[3] * x * x * x;
286 y += params[4] * x * x * x * x;
287 y += params[5] * x * x * x * x * x;
291 //_______________________________________________________
292 Double_t AliEMCALPIDUtils::Polynomial0(const Double_t *params) const
295 // Compute a polynomial for a given value of 'x'
296 // with the array of parameters passed as the second arg
299 Double_t y = params[0];
303 //_______________________________________________________
304 Double_t AliEMCALPIDUtils::Polynomialinv(const Double_t x, const Double_t *params) const
307 // Compute a polynomial for a given value of 'x'
308 // with the array of parameters passed as the second arg
316 y += params[2] / (x * x);
317 y += params[3] / (x * x * x);
318 y += params[4] / (x * x * x * x);
319 y += params[5] / (x * x * x * x * x);
325 //_______________________________________________________
326 Double_t AliEMCALPIDUtils::PolynomialMixed1(const Double_t x, const Double_t *params) const
329 // Compute a polynomial for a given value of 'x'
330 // with the array of parameters passed as the second arg
338 // y += params[3] * 0.;
339 // y += params[4] * 0.;
340 // y += params[5] * 0.;
348 //_______________________________________________________
349 Double_t AliEMCALPIDUtils::PolynomialMixed2(const Double_t x, const Double_t *params) const
352 // Compute a polynomial for a given value of 'x'
353 // with the array of parameters passed as the second arg
358 y = params[0] / ( x * x);
362 y += params[4] * x * x ;
363 // y += params[5] * 0.;
370 //_______________________________________________________
371 Double_t AliEMCALPIDUtils::PowerExp(const Double_t x, const Double_t *params) const
374 // Compute a polynomial for a given value of 'x'
375 // with the array of parameters passed as the second arg
376 // par[0]*TMath::Power(x[0],par[1])
377 // par[0]*TMath::Exp((x[0]-par[1])*par[2]);
379 Double_t y = params[0] *TMath::Power( x,params[1]);
380 y += params[2] *TMath::Exp((x-params[3])*params[4]);
387 //_______________________________________________________
388 void AliEMCALPIDUtils::InitParameters()
390 // Initialize PID parameters, depending on the use or not of the reconstructor
391 // and the kind of event type if the reconstructor is not used.
392 // fWeightHadronEnergy=0.;
393 // fWeightPiZeroEnergy=0.;
394 // fWeightGammaEnergy=0.;
400 for(Int_t i=0; i<AliPID::kSPECIESCN+1; i++)
403 // init the parameters here instead of from loading from recparam
404 // default parameters are PbPb parameters.
410 //_______________________________________________________
411 void AliEMCALPIDUtils::SetLowFluxParam()
414 // as a first step, all array elements are initialized to 0.0
417 for (i = 0; i < 6; i++) {
418 for (j = 0; j < 6; j++) {
419 fGamma[i][j] = fHadron[i][j] = fPiZero[i][j] = 0.;
420 fGamma1to10[i][j] = fHadron1to10[i][j] = 0.;
422 //Why we had the next 3 lines?
423 //fGammaEnergyProb[i] = fGammaEnergyProb[i];
424 //fPiZeroEnergyProb[i] = fPiZeroEnergyProb[i];
425 //fHadronEnergyProb[i] = fHadronEnergyProb[i];
428 // New parameterization for lambda0^2 (=x): f(x) = normLandau*TMath::Landau(x,mpvLandau,widthLandau)+normgaus*TMath::Gaus(x,meangaus,sigmagaus)
429 // See AliEMCALPid (index j) refers to the polynomial parameters of the fit of each parameter vs energy
432 // paramtype[0][j] = norm gauss
433 // paramtype[1][j] = mean gaus
434 // paramtype[2][j] = sigma gaus
435 // paramtype[3][j] = norm landau
436 // paramtype[4][j] = mpv landau
437 // paramtype[5][j] = sigma landau
439 fGamma[0][0] = -7.656908e-01;
440 fGamma[0][1] = 2.352536e-01;
441 fGamma[0][2] = 1.555996e-02;
442 fGamma[0][3] = 2.243525e-04;
443 fGamma[0][4] = -2.560087e-06;
445 fGamma[1][0] = 6.500216e+00;
446 fGamma[1][1] = -2.564958e-01;
447 fGamma[1][2] = 1.967894e-01;
448 fGamma[1][3] = -3.982273e-04;
449 fGamma[1][4] = 2.797737e-06;
451 fGamma[2][0] = 2.416489e+00;
452 fGamma[2][1] = -1.601258e-01;
453 fGamma[2][2] = 3.126839e-02;
454 fGamma[2][3] = 3.387532e-04;
455 fGamma[2][4] = -4.089145e-06;
458 fGamma[3][1] = -2.696008e+00;
459 fGamma[3][2] = 6.920305e-01;
460 fGamma[3][3] = -2.281122e-03;
463 fGamma[4][0] = 2.281564e-01;
464 fGamma[4][1] = -7.575040e-02;
465 fGamma[4][2] = 3.813423e-01;
466 fGamma[4][3] = -1.243854e-04;
467 fGamma[4][4] = 1.232045e-06;
469 fGamma[5][0] = -3.290107e-01;
470 fGamma[5][1] = 3.707545e-02;
471 fGamma[5][2] = 2.917397e-03;
472 fGamma[5][3] = 4.695306e-05;
473 fGamma[5][4] = -3.572981e-07;
475 fHadron[0][0] = 9.482243e-01;
476 fHadron[0][1] = -2.780896e-01;
477 fHadron[0][2] = 2.223507e-02;
478 fHadron[0][3] = 7.294263e-04;
479 fHadron[0][4] = -5.665872e-06;
483 fHadron[1][2] = 2.483298e-01;
487 fHadron[2][0] = -5.601199e+00;
488 fHadron[2][1] = 2.097382e+00;
489 fHadron[2][2] = -2.307965e-01;
490 fHadron[2][3] = 9.206871e-03;
491 fHadron[2][4] = -8.887548e-05;
493 fHadron[3][0] = 6.543101e+00;
494 fHadron[3][1] = -2.305203e+00;
495 fHadron[3][2] = 2.761673e-01;
496 fHadron[3][3] = -5.465855e-03;
497 fHadron[3][4] = 2.784329e-05;
499 fHadron[4][0] = -2.443530e+01;
500 fHadron[4][1] = 8.902578e+00 ;
501 fHadron[4][2] = -5.265901e-01;
502 fHadron[4][3] = 2.549111e-02;
503 fHadron[4][4] = -2.196801e-04;
505 fHadron[5][0] = 2.102007e-01;
506 fHadron[5][1] = -3.844418e-02;
507 fHadron[5][2] = 1.234682e-01;
508 fHadron[5][3] = -3.866733e-03;
509 fHadron[5][4] = 3.362719e-05 ;
511 fPiZero[0][0] = 5.072157e-01;
512 fPiZero[0][1] = -5.352747e-01;
513 fPiZero[0][2] = 8.499259e-02;
514 fPiZero[0][3] = -3.687401e-03;
515 fPiZero[0][4] = 5.482280e-05;
517 fPiZero[1][0] = 4.590137e+02;
518 fPiZero[1][1] = -7.079341e+01;
519 fPiZero[1][2] = 4.990735e+00;
520 fPiZero[1][3] = -1.241302e-01;
521 fPiZero[1][4] = 1.065772e-03;
523 fPiZero[2][0] = 1.376415e+02;
524 fPiZero[2][1] = -3.031577e+01;
525 fPiZero[2][2] = 2.474338e+00;
526 fPiZero[2][3] = -6.903410e-02;
527 fPiZero[2][4] = 6.244089e-04;
530 fPiZero[3][1] = 1.145983e+00;
531 fPiZero[3][2] = -2.476052e-01;
532 fPiZero[3][3] = 1.367373e-02;
535 fPiZero[4][0] = -2.097586e+02;
536 fPiZero[4][1] = 6.300800e+01;
537 fPiZero[4][2] = -4.038906e+00;
538 fPiZero[4][3] = 1.088543e-01;
539 fPiZero[4][4] = -9.362485e-04;
541 fPiZero[5][0] = -1.671477e+01;
542 fPiZero[5][1] = 2.995415e+00;
543 fPiZero[5][2] = -6.040360e-02;
544 fPiZero[5][3] = -6.137459e-04;
545 fPiZero[5][4] = 1.847328e-05;
547 fHadronEnergyProb[0] = 4.767543e-02;
548 fHadronEnergyProb[1] = -1.537523e+00;
549 fHadronEnergyProb[2] = 2.956727e-01;
550 fHadronEnergyProb[3] = -3.051022e+01;
551 fHadronEnergyProb[4] =-6.036931e-02;
555 // AliDebug(1,Form("PID parameters (%d, %d): fGamma=%.3f, fPi=%.3f, fHadron=%.3f",
556 // ii,jj, fGamma[ii][jj],fPiZero[ii][jj],fHadron[ii][jj] ));
558 // end for proton-proton
562 //_______________________________________________________
563 void AliEMCALPIDUtils::SetHighFluxParam()
566 // as a first step, all array elements are initialized to 0.0
568 for (i = 0; i < 6; i++) {
569 for (j = 0; j < 6; j++) {
570 fGamma[i][j] = fHadron[i][j] = fPiZero[i][j] = 0.;
571 fGamma1to10[i][j] = fHadron1to10[i][j] = 0.;
573 fGammaEnergyProb[i] = 0.;
574 fPiZeroEnergyProb[i] = 0.;
575 fHadronEnergyProb[i] = 0.;
578 // Pb Pb this goes with inverted landau + gaussian for gammas, landau+gaussian for Pi0 and hadrons
580 fGamma[0][0] = -7.656908e-01;
581 fGamma[0][1] = 2.352536e-01;
582 fGamma[0][2] = 1.555996e-02;
583 fGamma[0][3] = 2.243525e-04;
584 fGamma[0][4] = -2.560087e-06;
586 fGamma[1][0] = 6.500216e+00;
587 fGamma[1][1] = -2.564958e-01;
588 fGamma[1][2] = 1.967894e-01;
589 fGamma[1][3] = -3.982273e-04;
590 fGamma[1][4] = 2.797737e-06;
592 fGamma[2][0] = 2.416489e+00;
593 fGamma[2][1] = -1.601258e-01;
594 fGamma[2][2] = 3.126839e-02;
595 fGamma[2][3] = 3.387532e-04;
596 fGamma[2][4] = -4.089145e-06;
599 fGamma[3][1] = -2.696008e+00;
600 fGamma[3][2] = 6.920305e-01;
601 fGamma[3][3] = -2.281122e-03;
604 fGamma[4][0] = 2.281564e-01;
605 fGamma[4][1] = -7.575040e-02;
606 fGamma[4][2] = 3.813423e-01;
607 fGamma[4][3] = -1.243854e-04;
608 fGamma[4][4] = 1.232045e-06;
610 fGamma[5][0] = -3.290107e-01;
611 fGamma[5][1] = 3.707545e-02;
612 fGamma[5][2] = 2.917397e-03;
613 fGamma[5][3] = 4.695306e-05;
614 fGamma[5][4] = -3.572981e-07;
616 fHadron[0][0] = 1.519112e-01;
617 fHadron[0][1] = -8.267603e-02;
618 fHadron[0][2] = 1.914574e-02;
619 fHadron[0][3] = -2.677921e-04;
620 fHadron[0][4] = 5.447939e-06;
623 fHadron[1][1] = -7.549870e-02;
624 fHadron[1][2] = 3.930087e-01;
625 fHadron[1][3] = -2.368500e-03;
629 fHadron[2][1] = -2.463152e-02;
630 fHadron[2][2] = 1.349257e-01;
631 fHadron[2][3] = -1.089440e-03;
635 fHadron[3][1] = 5.101560e-01;
636 fHadron[3][2] = 1.458679e-01;
637 fHadron[3][3] = 4.903068e-04;
641 fHadron[4][1] = -6.693943e-03;
642 fHadron[4][2] = 2.444753e-01;
643 fHadron[4][3] = -5.553749e-05;
646 fHadron[5][0] = -4.414030e-01;
647 fHadron[5][1] = 2.292277e-01;
648 fHadron[5][2] = -2.433737e-02;
649 fHadron[5][3] = 1.758422e-03;
650 fHadron[5][4] = -3.001493e-05;
652 fPiZero[0][0] = 5.072157e-01;
653 fPiZero[0][1] = -5.352747e-01;
654 fPiZero[0][2] = 8.499259e-02;
655 fPiZero[0][3] = -3.687401e-03;
656 fPiZero[0][4] = 5.482280e-05;
658 fPiZero[1][0] = 4.590137e+02;
659 fPiZero[1][1] = -7.079341e+01;
660 fPiZero[1][2] = 4.990735e+00;
661 fPiZero[1][3] = -1.241302e-01;
662 fPiZero[1][4] = 1.065772e-03;
664 fPiZero[2][0] = 1.376415e+02;
665 fPiZero[2][1] = -3.031577e+01;
666 fPiZero[2][2] = 2.474338e+00;
667 fPiZero[2][3] = -6.903410e-02;
668 fPiZero[2][4] = 6.244089e-04;
671 fPiZero[3][1] = 1.145983e+00;
672 fPiZero[3][2] = -2.476052e-01;
673 fPiZero[3][3] = 1.367373e-02;
676 fPiZero[4][0] = -2.097586e+02;
677 fPiZero[4][1] = 6.300800e+01;
678 fPiZero[4][2] = -4.038906e+00;
679 fPiZero[4][3] = 1.088543e-01;
680 fPiZero[4][4] = -9.362485e-04;
682 fPiZero[5][0] = -1.671477e+01;
683 fPiZero[5][1] = 2.995415e+00;
684 fPiZero[5][2] = -6.040360e-02;
685 fPiZero[5][3] = -6.137459e-04;
686 fPiZero[5][4] = 1.847328e-05;
688 // those are the High Flux PbPb ones
689 fHadronEnergyProb[0] = 0.;
690 fHadronEnergyProb[1] = 0.;
691 fHadronEnergyProb[2] = 6.188452e-02;
692 fHadronEnergyProb[3] = 2.030230e+00;
693 fHadronEnergyProb[4] = -6.402242e-02;
697 // AliDebug(1,Form("PID parameters (%d, %d): fGamma=%.3f, fPi=%.3f, fHadron=%.3f",
698 // ii,jj, fGamma[ii][jj],fPiZero[ii][jj],fHadron[ii][jj] ));