/////////////////////////////////////////////////////////////////////////////// // // // Transition Radiation Detector version 2 -- detailed simulation // // // //Begin_Html /* */ //End_Html // // // // /////////////////////////////////////////////////////////////////////////////// #include #include #include #include "AliTRDv2.h" #include "AliTRDmatrix.h" #include "AliRun.h" #include "AliMC.h" #include "AliConst.h" ClassImp(AliTRDv2) //_____________________________________________________________________________ AliTRDv2::AliTRDv2(const char *name, const char *title) :AliTRD(name, title) { // // Standard constructor for Transition Radiation Detector version 2 // fIdSens = 0; fIdSpace1 = 0; fIdSpace2 = 0; fIdSpace3 = 0; fIdChamber1 = 0; fIdChamber2 = 0; fIdChamber3 = 0; fSensSelect = 0; fSensPlane = 0; fSensChamber = 0; fSensSector = 0; for (Int_t iplan = 0; iplan < kNplan; iplan++) { for (Int_t icham = 0; icham < kNcham; icham++) { fRowMax[iplan][icham] = 0; } fColMax[iplan] = 0; } fTimeMax = 0; fRowPadSize = 0; fColPadSize = 0; fTimeBinSize = 0; fGasGain = 0; fNoise = 0; fChipGain = 0; fADCoutRange = 0; fADCinRange = 0; fADCthreshold = 0; fDiffusionT = 0; fDiffusionL = 0; fDeltaE = NULL; SetBufferSize(128000); } //_____________________________________________________________________________ AliTRDv2::~AliTRDv2() { if (fDeltaE) delete fDeltaE; } //_____________________________________________________________________________ void AliTRDv2::CreateGeometry() { // // Create the GEANT geometry for the Transition Radiation Detector - Version 2 // This version covers the full azimuth. // // Author: Christoph Blume (C.Blume@gsi.de) 20/07/99 // Float_t xpos, ypos, zpos; // Check that FRAME is there otherwise we have no place where to put the TRD AliModule* FRAME = gAlice->GetModule("FRAME"); if (!FRAME) return; // Define the chambers AliTRD::CreateGeometry(); // Position the the TRD-sectors in all TRD-volumes in the spaceframe xpos = 0.; ypos = 0.; zpos = 0.; gMC->Gspos("TRD ",1,"BTR1",xpos,ypos,zpos,0,"ONLY"); gMC->Gspos("TRD ",2,"BTR2",xpos,ypos,zpos,0,"ONLY"); gMC->Gspos("TRD ",3,"BTR3",xpos,ypos,zpos,0,"ONLY"); } //_____________________________________________________________________________ void AliTRDv2::CreateMaterials() { // // Create materials for the Transition Radiation Detector version 2 // AliTRD::CreateMaterials(); } //_____________________________________________________________________________ void AliTRDv2::Diffusion(Float_t driftlength, Float_t *xyz) { // // Applies the diffusion smearing to the position of a single electron // if ((driftlength > 0) && (driftlength < kDrThick)) { Float_t driftSqrt = TMath::Sqrt(driftlength); Float_t sigmaT = driftSqrt * fDiffusionT; Float_t sigmaL = driftSqrt * fDiffusionL; xyz[0] = gRandom->Gaus(xyz[0], sigmaL); xyz[1] = gRandom->Gaus(xyz[1], sigmaT); xyz[2] = gRandom->Gaus(xyz[2], sigmaT); } else { xyz[0] = 0.0; xyz[1] = 0.0; xyz[2] = 0.0; } } //_____________________________________________________________________________ void AliTRDv2::Hits2Digits() { // // Creates TRD digits from hits. This procedure includes the following: // - Diffusion // - Gas gain including fluctuations // - Pad-response (simple Gaussian approximation) // - Electronics noise // - Electronics gain // - Digitization // - ADC threshold // The corresponding parameter can be adjusted via the various Set-functions. // If these parameters are not explicitly set, default values are used (see // Init-function). // To produce digits from a galice.root file with TRD-hits use the // digitsCreate.C macro. // printf(" Start creating digits\n"); /////////////////////////////////////////////////////////////// // Parameter /////////////////////////////////////////////////////////////// // Converts number of electrons to fC const Float_t el2fC = 1.602E-19 * 1.0E15; /////////////////////////////////////////////////////////////// Int_t nBytes = 0; AliTRDhit *TRDhit; // Position of pad 0,0,0 // // chambers seen from the top: // +----------------------------+ // | | // | | ^ // | | rphi| // | | | // |0 | | // +----------------------------+ +------> // z // chambers seen from the side: ^ // +----------------------------+ time| // | | | // |0 | | // +----------------------------+ +------> // z // // The pad row (z-direction) Float_t row0[kNplan][kNcham]; for (Int_t iplan = 0; iplan < kNplan; iplan++) { row0[iplan][0] = -fClengthI[iplan]/2. - fClengthM[iplan] - fClengthO[iplan] + kCcthick; row0[iplan][1] = -fClengthI[iplan]/2. - fClengthM[iplan] + kCcthick; row0[iplan][2] = -fClengthI[iplan]/2. + kCcthick; row0[iplan][3] = fClengthI[iplan]/2. + kCcthick; row0[iplan][4] = fClengthI[iplan]/2. + fClengthM[iplan] + kCcthick; } // The pad column (rphi-direction) Float_t col0[kNplan]; for (Int_t iplan = 0; iplan < kNplan; iplan++) { col0[iplan] = -fCwidth[iplan]/2. + kCcthick; } // The time bucket Float_t time0[kNplan]; for (Int_t iplan = 0; iplan < kNplan; iplan++) { time0[iplan] = kRmin + kCcframe/2. + kDrZpos - 0.5 * kDrThick + iplan * (kCheight + kCspace); } // Get the pointer to the hit tree TTree *HitTree = gAlice->TreeH(); // Get the pointer to the digits tree TTree *DigitsTree = gAlice->TreeD(); // Get the number of entries in the hit tree // (Number of primary particles creating a hit somewhere) Int_t nTrack = (Int_t) HitTree->GetEntries(); Int_t chamBeg = 0; Int_t chamEnd = kNcham; if (fSensChamber) chamEnd = chamBeg = fSensChamber; Int_t planBeg = 0; Int_t planEnd = kNplan; if (fSensPlane) planEnd = planBeg = fSensPlane; Int_t sectBeg = 0; Int_t sectEnd = kNsect; if (fSensSector) sectEnd = sectBeg = fSensSector; // Loop through all the chambers for (Int_t icham = chamBeg; icham < chamEnd; icham++) { for (Int_t iplan = planBeg; iplan < planEnd; iplan++) { for (Int_t isect = sectBeg; isect < sectEnd; isect++) { printf(" Digitizing chamber %d, plane %d, sector %d\n" ,icham+1,iplan+1,isect+1); // Create a detector matrix to keep the signal and track numbers AliTRDmatrix *matrix = new AliTRDmatrix(fRowMax[iplan][icham] ,fColMax[iplan] ,fTimeMax ,isect+1,icham+1,iplan+1); // Loop through all entries in the tree for (Int_t iTrack = 0; iTrack < nTrack; iTrack++) { gAlice->ResetHits(); nBytes += HitTree->GetEvent(iTrack); // Get the number of hits in the TRD created by this particle Int_t nHit = fHits->GetEntriesFast(); // Loop through the TRD hits for (Int_t iHit = 0; iHit < nHit; iHit++) { if (!(TRDhit = (AliTRDhit *) fHits->UncheckedAt(iHit))) continue; Float_t x = TRDhit->fX; Float_t y = TRDhit->fY; Float_t z = TRDhit->fZ; Float_t q = TRDhit->fQ; Int_t track = TRDhit->fTrack; Int_t plane = TRDhit->fPlane; Int_t sector = TRDhit->fSector; Int_t chamber = TRDhit->fChamber; if ((sector != isect+1) || (plane != iplan+1) || (chamber != icham+1)) continue; // Rotate the sectors on top of each other Float_t phi = 2.0 * kPI / (Float_t) kNsect * ((Float_t) sector - 0.5); Float_t xRot = -x * TMath::Cos(phi) + y * TMath::Sin(phi); Float_t yRot = x * TMath::Sin(phi) + y * TMath::Cos(phi); Float_t zRot = z; // The hit position in pad coordinates (center pad) // The pad row (z-direction) Int_t rowH = (Int_t) ((zRot - row0[iplan][icham]) / fRowPadSize); // The pad column (rphi-direction) Int_t colH = (Int_t) ((yRot - col0[iplan] ) / fColPadSize); // The time bucket Int_t timeH = (Int_t) ((xRot - time0[iplan] ) / fTimeBinSize); // Array to sum up the signal in a box surrounding the // hit postition const Int_t timeBox = 5; const Int_t colBox = 7; const Int_t rowBox = 5; Float_t signalSum[rowBox][colBox][timeBox]; for (Int_t iRow = 0; iRow < rowBox; iRow++ ) { for (Int_t iCol = 0; iCol < colBox; iCol++ ) { for (Int_t iTime = 0; iTime < timeBox; iTime++) { signalSum[iRow][iCol][iTime] = 0; } } } // Loop over all electrons of this hit Int_t nEl = (Int_t) q; for (Int_t iEl = 0; iEl < nEl; iEl++) { // Apply the diffusion smearing Float_t driftlength = xRot - time0[iplan]; Float_t xyz[3]; xyz[0] = xRot; xyz[1] = yRot; xyz[2] = zRot; Diffusion(driftlength,xyz); // At this point absorption effects that depend on the // driftlength could be taken into account. // The electron position and the distance to the hit position // in pad units // The pad row (z-direction) Int_t rowE = (Int_t) ((xyz[2] - row0[iplan][icham]) / fRowPadSize); Int_t rowD = rowH - rowE; // The pad column (rphi-direction) Int_t colE = (Int_t) ((xyz[1] - col0[iplan] ) / fColPadSize); Int_t colD = colH - colE; // The time bucket Int_t timeE = (Int_t) ((xyz[0] - time0[iplan] ) / fTimeBinSize); Int_t timeD = timeH - timeE; // Apply the gas gain including fluctuations Int_t signal = (Int_t) (-fGasGain * TMath::Log(gRandom->Rndm())); // The distance of the electron to the center of the pad // in units of pad width Float_t dist = (xyz[1] - col0[iplan] - (colE + 0.5) * fColPadSize) / fColPadSize; // Sum up the signal in the different pixels // and apply the pad response Int_t rowIdx = rowD + (Int_t) ( rowBox / 2); Int_t colIdx = colD + (Int_t) ( colBox / 2); Int_t timeIdx = timeD + (Int_t) (timeBox / 2); signalSum[rowIdx][colIdx-1][timeIdx] += PadResponse(dist-1.) * signal; signalSum[rowIdx][colIdx ][timeIdx] += PadResponse(dist ) * signal; signalSum[rowIdx][colIdx+1][timeIdx] += PadResponse(dist+1.) * signal; } // Add the padcluster to the detector matrix for (Int_t iRow = 0; iRow < rowBox; iRow++ ) { for (Int_t iCol = 0; iCol < colBox; iCol++ ) { for (Int_t iTime = 0; iTime < timeBox; iTime++) { Int_t rowB = rowH + iRow - (Int_t) ( rowBox / 2); Int_t colB = colH + iCol - (Int_t) ( colBox / 2); Int_t timeB = timeH + iTime - (Int_t) (timeBox / 2); Float_t signalB = signalSum[iRow][iCol][iTime]; if (signalB > 0.0) { matrix->AddSignal(rowB,colB,timeB,signalB); if (!(matrix->AddTrack(rowB,colB,timeB,track))) printf("More than three tracks in a pixel!\n"); } } } } } } // Create the hits for this chamber for (Int_t iRow = 0; iRow < fRowMax[iplan][icham]; iRow++ ) { for (Int_t iCol = 0; iCol < fColMax[iplan] ; iCol++ ) { for (Int_t iTime = 0; iTime < fTimeMax ; iTime++) { Float_t signalAmp = matrix->GetSignal(iRow,iCol,iTime); // Add the noise signalAmp = TMath::Max(gRandom->Gaus(signalAmp,fNoise),0.0); // Convert to fC signalAmp *= el2fC; // Convert to mV signalAmp *= fChipGain; // Convert to ADC counts Int_t adc = (Int_t) (signalAmp * (fADCoutRange / fADCinRange)); // Apply threshold on ADC value if (adc > fADCthreshold) { Int_t trackSave[3]; for (Int_t ii = 0; ii < 3; ii++) { trackSave[ii] = matrix->GetTrack(iRow,iCol,iTime,ii); } Int_t digits[7]; digits[0] = matrix->GetSector(); digits[1] = matrix->GetChamber(); digits[2] = matrix->GetPlane(); digits[3] = iRow; digits[4] = iCol; digits[5] = iTime; digits[6] = adc; // Add this digit to the TClonesArray AddDigit(trackSave,digits); } } } } // Clean up delete matrix; } } } // Fill the digits-tree DigitsTree->Fill(); } //_____________________________________________________________________________ void AliTRDv2::Init() { // // Initialise Transition Radiation Detector after geometry has been built. // Includes the default settings of all parameter for the digitization. // AliTRD::Init(); if (fSensPlane) printf(" Only plane %d is sensitive\n",fSensPlane); if (fSensChamber) printf(" Only chamber %d is sensitive\n",fSensChamber); if (fSensSector) printf(" Only sector %d is sensitive\n",fSensSector); for (Int_t i = 0; i < 80; i++) printf("*"); printf("\n"); // First ionization potential (eV) for the gas mixture (90% Xe + 10% CO2) const Float_t kPoti = 12.1; // Maximum energy (50 keV); const Float_t kEend = 50000.0; // Ermilova distribution for the delta-ray spectrum Float_t Poti = TMath::Log(kPoti); Float_t Eend = TMath::Log(kEend); fDeltaE = new TF1("deltae",Ermilova,Poti,Eend,0); // Identifier of the sensitive volume (drift region) fIdSens = gMC->VolId("UL05"); // Identifier of the TRD-spaceframe volumina fIdSpace1 = gMC->VolId("B028"); fIdSpace2 = gMC->VolId("B029"); fIdSpace3 = gMC->VolId("B030"); // Identifier of the TRD-driftchambers fIdChamber1 = gMC->VolId("UCIO"); fIdChamber2 = gMC->VolId("UCIM"); fIdChamber3 = gMC->VolId("UCII"); // The default pad dimensions if (!(fRowPadSize)) fRowPadSize = 4.5; if (!(fColPadSize)) fColPadSize = 1.0; if (!(fTimeBinSize)) fTimeBinSize = 0.1; // The maximum number of pads for (Int_t iplan = 0; iplan < kNplan; iplan++) { // Rows fRowMax[iplan][0] = 1 + TMath::Nint((fClengthO[iplan] - 2. * kCcthick) / fRowPadSize - 0.5); fRowMax[iplan][1] = 1 + TMath::Nint((fClengthM[iplan] - 2. * kCcthick) / fRowPadSize - 0.5); fRowMax[iplan][2] = 1 + TMath::Nint((fClengthI[iplan] - 2. * kCcthick) / fRowPadSize - 0.5); fRowMax[iplan][3] = 1 + TMath::Nint((fClengthM[iplan] - 2. * kCcthick) / fRowPadSize - 0.5); fRowMax[iplan][4] = 1 + TMath::Nint((fClengthO[iplan] - 2. * kCcthick) / fRowPadSize - 0.5); // Columns fColMax[iplan] = 1 + TMath::Nint((fCwidth[iplan] - 2. * kCcthick) / fColPadSize - 0.5); } // Time buckets fTimeMax = 1 + TMath::Nint(kDrThick / fTimeBinSize - 0.5); // The default parameter for the digitization if (!(fGasGain)) fGasGain = 2.0E3; if (!(fNoise)) fNoise = 3000.; if (!(fChipGain)) fChipGain = 10.; if (!(fADCoutRange)) fADCoutRange = 255.; if (!(fADCinRange)) fADCinRange = 2000.; if (!(fADCthreshold)) fADCthreshold = 0; // Transverse and longitudinal diffusion coefficients (Xe/Isobutane) if (!(fDiffusionT)) fDiffusionT = 0.060; if (!(fDiffusionL)) fDiffusionL = 0.017; } //_____________________________________________________________________________ void AliTRDv2::MakeBranch(Option_t* option) { // // Create Tree branches for the TRD digits. // Int_t buffersize = 4000; Char_t branchname[10]; sprintf(branchname,"%s",GetName()); AliDetector::MakeBranch(option); Char_t *D = strstr(option,"D"); if (fDigits && gAlice->TreeD() && D) { gAlice->TreeD()->Branch(branchname,&fDigits, buffersize); printf("Making Branch %s for digits\n",branchname); } } //_____________________________________________________________________________ Float_t AliTRDv2::PadResponse(Float_t x) { // // The pad response for the chevron pads. // We use a simple Gaussian approximation which should be good // enough for our purpose. // // The parameters for the response function const Float_t aa = 0.8872; const Float_t bb = -0.00573; const Float_t cc = 0.454; const Float_t cc2 = cc*cc; Float_t pr = aa * (bb + TMath::Exp(-x*x / (2. * cc2))); //TF1 *funPR = new TF1("funPR","[0]*([1]+exp(-x*x /(2.*[2])))",-3,3); //funPR->SetParameter(0,aa ); //funPR->SetParameter(1,bb ); //funPR->SetParameter(2,cc2); // //Float_t pr = funPR->Eval(distance); // //delete funPR; return (pr); } //_____________________________________________________________________________ void AliTRDv2::SetSensPlane(Int_t iplane) { // // Defines the hit-sensitive plane (1-6) // if ((iplane < 0) || (iplane > 6)) { printf("Wrong input value: %d\n",iplane); printf("Use standard setting\n"); fSensPlane = 0; fSensSelect = 0; return; } fSensSelect = 1; fSensPlane = iplane; } //_____________________________________________________________________________ void AliTRDv2::SetSensChamber(Int_t ichamber) { // // Defines the hit-sensitive chamber (1-5) // if ((ichamber < 0) || (ichamber > 5)) { printf("Wrong input value: %d\n",ichamber); printf("Use standard setting\n"); fSensChamber = 0; fSensSelect = 0; return; } fSensSelect = 1; fSensChamber = ichamber; } //_____________________________________________________________________________ void AliTRDv2::SetSensSector(Int_t isector) { // // Defines the hit-sensitive sector (1-18) // if ((isector < 0) || (isector > 18)) { printf("Wrong input value: %d\n",isector); printf("Use standard setting\n"); fSensSector = 0; fSensSelect = 0; return; } fSensSelect = 1; fSensSector = isector; } //_____________________________________________________________________________ void AliTRDv2::StepManager() { // // Called at every step in the Transition Radiation Detector version 2. // Slow simulator. Every charged track produces electron cluster as hits // along its path across the drift volume. The step size is set acording // to Bethe-Bloch. The energy distribution of the delta electrons follows // a spectrum taken from Ermilova et al. // Int_t iIdSens, icSens; Int_t iIdSpace, icSpace; Int_t iIdChamber, icChamber; Int_t vol[3]; Int_t iPid; Int_t secMap1[10] = { 3, 7, 8, 9, 10, 11, 2, 1, 18, 17 }; Int_t secMap2[ 5] = { 16, 15, 14, 13, 12 }; Int_t secMap3[ 3] = { 5, 6, 4 }; Float_t hits[4]; Float_t random[1]; Float_t charge; Float_t aMass; Double_t pTot; Double_t qTot; Double_t eDelta; Double_t betaGamma, pp; TLorentzVector pos, mom; TClonesArray &lhits = *fHits; const Double_t kBig = 1.0E+12; // Ionization energy const Float_t kWion = 22.04; // Maximum energy for e+ e- g for the step-size calculation const Float_t kPTotMax = 0.002; // Plateau value of the energy-loss for electron in xenon // taken from: Allison + Comb, Ann. Rev. Nucl. Sci. (1980), 30, 253 //const Double_t kPlateau = 1.70; // the averaged value (26/3/99) const Float_t kPlateau = 1.55; // dN1/dx|min for the gas mixture (90% Xe + 10% CO2) const Float_t kPrim = 48.0; // First ionization potential (eV) for the gas mixture (90% Xe + 10% CO2) const Float_t kPoti = 12.1; // Set the maximum step size to a very large number for all // neutral particles and those outside the driftvolume gMC->SetMaxStep(kBig); // Use only charged tracks if (( gMC->TrackCharge() ) && (!gMC->IsTrackStop() ) && (!gMC->IsTrackDisappeared())) { // Inside a sensitive volume? iIdSens = gMC->CurrentVolID(icSens); if (iIdSens == fIdSens) { iIdSpace = gMC->CurrentVolOffID(4,icSpace ); iIdChamber = gMC->CurrentVolOffID(1,icChamber); // Calculate the energy of the delta-electrons eDelta = TMath::Exp(fDeltaE->GetRandom()) - kPoti; eDelta = TMath::Max(eDelta,0.0); // The number of secondary electrons created qTot = (Double_t) ((Int_t) (eDelta / kWion) + 1); // The hit coordinates and charge gMC->TrackPosition(pos); hits[0] = pos[0]; hits[1] = pos[1]; hits[2] = pos[2]; hits[3] = qTot; // The sector number if (iIdSpace == fIdSpace1) vol[0] = secMap1[icSpace-1]; else if (iIdSpace == fIdSpace2) vol[0] = secMap2[icSpace-1]; else if (iIdSpace == fIdSpace3) vol[0] = secMap3[icSpace-1]; // The chamber number // 1: outer left // 2: middle left // 3: inner // 4: middle right // 5: outer right if (iIdChamber == fIdChamber1) vol[1] = (hits[2] < 0 ? 1 : 5); else if (iIdChamber == fIdChamber2) vol[1] = (hits[2] < 0 ? 2 : 4); else if (iIdChamber == fIdChamber3) vol[1] = 3; // The plane number vol[2] = icChamber - TMath::Nint((Float_t) (icChamber / 7)) * 6; // Check on selected volumes Int_t addthishit = 1; if (fSensSelect) { if ((fSensPlane) && (vol[2] != fSensPlane )) addthishit = 0; if ((fSensChamber) && (vol[1] != fSensChamber)) addthishit = 0; if ((fSensSector) && (vol[0] != fSensSector )) addthishit = 0; } // Add this hit if (addthishit) { new(lhits[fNhits++]) AliTRDhit(fIshunt,gAlice->CurrentTrack(),vol,hits); // The energy loss according to Bethe Bloch gMC->TrackMomentum(mom); pTot = mom.Rho(); iPid = gMC->TrackPid(); if ( (iPid > 3) || ((iPid <= 3) && (pTot < kPTotMax))) { aMass = gMC->TrackMass(); betaGamma = pTot / aMass; pp = kPrim * BetheBloch(betaGamma); // Take charge > 1 into account charge = gMC->TrackCharge(); if (TMath::Abs(charge) > 1) pp = pp * charge*charge; } // Electrons above 20 Mev/c are at the plateau else { pp = kPrim * kPlateau; } // Calculate the maximum step size for the next tracking step if (pp > 0) { do gMC->Rndm(random,1); while ((random[0] == 1.) || (random[0] == 0.)); gMC->SetMaxStep( - TMath::Log(random[0]) / pp); } } else { // set step size to maximal value gMC->SetMaxStep(kBig); } } } } //_____________________________________________________________________________ Double_t AliTRDv2::BetheBloch(Double_t bg) { // // Parametrization of the Bethe-Bloch-curve // The parametrization is the same as for the TPC and is taken from Lehrhaus. // // This parameters have been adjusted to averaged values from GEANT const Double_t kP1 = 7.17960e-02; const Double_t kP2 = 8.54196; const Double_t kP3 = 1.38065e-06; const Double_t kP4 = 5.30972; const Double_t kP5 = 2.83798; // This parameters have been adjusted to Xe-data found in: // Allison & Cobb, Ann. Rev. Nucl. Sci. (1980), 30, 253 //const Double_t kP1 = 0.76176E-1; //const Double_t kP2 = 10.632; //const Double_t kP3 = 3.17983E-6; //const Double_t kP4 = 1.8631; //const Double_t kP5 = 1.9479; if (bg > 0) { Double_t yy = bg / TMath::Sqrt(1. + bg*bg); Double_t aa = TMath::Power(yy,kP4); Double_t bb = TMath::Power((1./bg),kP5); bb = TMath::Log(kP3 + bb); return ((kP2 - aa - bb)*kP1 / aa); } else return 0; } //_____________________________________________________________________________ Double_t Ermilova(Double_t *x, Double_t *) { // // Calculates the delta-ray energy distribution according to Ermilova. // Logarithmic scale ! // Double_t energy; Double_t dpos; Double_t dnde; Int_t pos1, pos2; const Int_t nV = 31; Float_t vxe[nV] = { 2.3026, 2.9957, 3.4012, 3.6889, 3.9120 , 4.0943, 4.2485, 4.3820, 4.4998, 4.6052 , 4.7005, 5.0752, 5.2983, 5.7038, 5.9915 , 6.2146, 6.5221, 6.9078, 7.3132, 7.6009 , 8.0064, 8.5172, 8.6995, 8.9872, 9.2103 , 9.4727, 9.9035,10.3735,10.5966,10.8198 ,11.5129 }; Float_t vye[nV] = { 80.0 , 31.0 , 23.3 , 21.1 , 21.0 , 20.9 , 20.8 , 20.0 , 16.0 , 11.0 , 8.0 , 6.0 , 5.2 , 4.6 , 4.0 , 3.5 , 3.0 , 1.4 , 0.67 , 0.44 , 0.3 , 0.18 , 0.12 , 0.08 , 0.056 , 0.04 , 0.023, 0.015, 0.011, 0.01 , 0.004 }; energy = x[0]; // Find the position pos1 = pos2 = 0; dpos = 0; do { dpos = energy - vxe[pos2++]; } while (dpos > 0); pos2--; if (pos2 > nV) pos2 = nV; pos1 = pos2 - 1; // Differentiate between the sampling points dnde = (vye[pos1] - vye[pos2]) / (vxe[pos2] - vxe[pos1]); return dnde; }