Typedefs | |
typedef boost::multi_array < float, 2 > | array_2d |
Functions | |
int | PixelTempReco2D (int id, float cotalpha, float cotbeta, float locBz, array_2d &cluster, std::vector< bool > &ydouble, std::vector< bool > &xdouble, SiPixelTemplate &templ, float &yrec, float &sigmay, float &proby, float &xrec, float &sigmax, float &probx, int &qbin, int speed, bool deadpix, std::vector< std::pair< int, int > > &zeropix, float &probQ) |
int | PixelTempReco2D (int id, float cotalpha, float cotbeta, array_2d &cluster, std::vector< bool > &ydouble, std::vector< bool > &xdouble, SiPixelTemplate &templ, float &yrec, float &sigmay, float &proby, float &xrec, float &sigmax, float &probx, int &qbin, int speed) |
int | PixelTempReco2D (int id, float cotalpha, float cotbeta, array_2d &cluster, std::vector< bool > &ydouble, std::vector< bool > &xdouble, SiPixelTemplate &templ, float &yrec, float &sigmay, float &proby, float &xrec, float &sigmax, float &probx, int &qbin, int speed, float &probQ) |
int | PixelTempReco2D (int id, float cotalpha, float cotbeta, float locBz, array_2d &cluster, std::vector< bool > &ydouble, std::vector< bool > &xdouble, SiPixelTemplate &templ, float &yrec, float &sigmay, float &proby, float &xrec, float &sigmax, float &probx, int &qbin, int speed, float &probQ) |
typedef boost::multi_array<float, 2> SiPixelTemplateReco::array_2d |
Definition at line 70 of file SiPixelTemplateReco.h.
int SiPixelTemplateReco::PixelTempReco2D | ( | int | id, |
float | cotalpha, | ||
float | cotbeta, | ||
float | locBz, | ||
array_2d & | clust, | ||
std::vector< bool > & | ydouble, | ||
std::vector< bool > & | xdouble, | ||
SiPixelTemplate & | templ, | ||
float & | yrec, | ||
float & | sigmay, | ||
float & | proby, | ||
float & | xrec, | ||
float & | sigmax, | ||
float & | probx, | ||
int & | qbin, | ||
int | speed, | ||
bool | deadpix, | ||
std::vector< std::pair< int, int > > & | zeropix, | ||
float & | probQ | ||
) |
Reconstruct the best estimate of the hit position for pixel clusters.
id | - (input) identifier of the template to use |
cotalpha | - (input) the cotangent of the alpha track angle (see CMS IN 2004/014) |
cotbeta | - (input) the cotangent of the beta track angle (see CMS IN 2004/014) |
locBz | - (input) the sign of the local B_z field for FPix (usually B_z<0 when cot(beta)>0 and B_z>0 when cot(beta)<0 |
cluster | - (input) boost multi_array container of 7x21 array of pixel signals, origin of local coords (0,0) at center of pixel cluster[0][0]. Set dead pixels to small non-zero values (0.1 e). |
ydouble | - (input) STL vector of 21 element array to flag a double-pixel |
xdouble | - (input) STL vector of 7 element array to flag a double-pixel |
templ | - (input) the template used in the reconstruction |
yrec | - (output) best estimate of y-coordinate of hit in microns |
sigmay | - (output) best estimate of uncertainty on yrec in microns |
proby | - (output) probability describing goodness-of-fit for y-reco |
xrec | - (output) best estimate of x-coordinate of hit in microns |
sigmax | - (output) best estimate of uncertainty on xrec in microns |
probx | - (output) probability describing goodness-of-fit for x-reco |
qbin | - (output) index (0-4) describing the charge of the cluster qbin = 0 Q/Q_avg > 1.5 [few % of all hits] 1 1.5 > Q/Q_avg > 1.0 [~30% of all hits] 2 1.0 > Q/Q_avg > 0.85 [~30% of all hits] 3 0.85 > Q/Q_avg > min1 [~30% of all hits] 4 min1 > Q/Q_avg > min2 [~0.1% of all hits] 5 min2 > Q/Q_avg [~0.1% of all hits] |
speed | - (input) switch (-2->5) trading speed vs robustness -2 totally bombproof, searches the entire 41 bin range at full density (equiv to V2_4), calculates Q probability w/ VVIObj (better but slower) -1 totally bombproof, searches the entire 41 bin range at full density (equiv to V2_4), calculates Q probability w/ TMath::VavilovI (poorer but faster) 0 totally bombproof, searches the entire 41 bin range at full density (equiv to V2_4) 1 faster, searches reduced 25 bin range (no big pix) + 33 bins (big pix at ends) at full density 2 faster yet, searches same range as 1 but at 1/2 density 3 fastest, searches same range as 1 but at 1/4 density (no big pix) and 1/2 density (big pix in cluster) 4 fastest w/ Q prob, searches same range as 1 but at 1/4 density (no big pix) and 1/2 density (big pix in cluster), calculates Q probability w/ VVIObj (better but slower) 5 fastest w/ Q prob, searches same range as 1 but at 1/4 density (no big pix) and 1/2 density (big pix in cluster), calculates Q probability w/ TMath::VavilovI (poorer but faster) |
deadpix | - (input) bool to indicate that there are dead pixels to be included in the analysis |
zeropix | - (input) vector of index pairs pointing to the dead pixels |
probQ | - (output) the Vavilov-distribution-based cluster charge probability |
Definition at line 125 of file SiPixelTemplateReco.cc.
References BHX, BHY, BXM1, BXM2, BXSIZE, BYM1, BYM2, BYM3, BYSIZE, SiPixelTemplate::chi2xavg(), SiPixelTemplate::chi2xavgone(), SiPixelTemplate::chi2xmin(), SiPixelTemplate::chi2xminone(), SiPixelTemplate::chi2yavg(), SiPixelTemplate::chi2yavgone(), SiPixelTemplate::chi2ymin(), SiPixelTemplate::chi2yminone(), SiPixelTemplate::cxtemp(), SiPixelTemplate::cytemp(), delta, SiPixelTemplate::dxone(), SiPixelTemplate::dxtwo(), SiPixelTemplate::dyone(), SiPixelTemplate::dytwo(), ENDL, Exception, f, VVIObj::fcn(), Gamma, i, SiPixelTemplate::interpolate(), j, gen::k, LOGDEBUG, LOGERROR, maxpix, SiPixelTemplate::pixmax(), SiPixelTemplate::qavg(), SiPixelTemplate::qmin(), SiPixelTemplate::qscale(), SiPixelTemplate::s50(), python::multivaluedict::sort(), SiPixelTemplate::sxmax(), SiPixelTemplate::sxone(), SiPixelTemplate::sxtwo(), SiPixelTemplate::symax(), SiPixelTemplate::syone(), SiPixelTemplate::sytwo(), theVerboseLevel, TXSIZE, TYSIZE, SiPixelTemplate::vavilov_pars(), SiPixelTemplate::xavg(), SiPixelTemplate::xflcorr(), SiPixelTemplate::xrms(), SiPixelTemplate::xsigma2(), SiPixelTemplate::xsize(), SiPixelTemplate::xtemp(), SiPixelTemplate::yavg(), SiPixelTemplate::yflcorr(), SiPixelTemplate::yrms(), SiPixelTemplate::ysigma2(), SiPixelTemplate::ysize(), and SiPixelTemplate::ytemp().
Referenced by PixelCPETemplateReco::localPosition(), and PixelTempReco2D().
{ // Local variables int i, j, k, minbin, binl, binh, binq, midpix, fypix, nypix, lypix, logypx; int fxpix, nxpix, lxpix, logxpx, shifty, shiftx, nyzero[TYSIZE]; int nclusx, nclusy; int deltaj, jmin, jmax, fxbin, lxbin, fybin, lybin, djy, djx; //int fypix2D, lypix2D, fxpix2D, lxpix2D; float sythr, sxthr, rnorm, delta, sigma, sigavg, pseudopix, qscale, q50; float ss2, ssa, sa2, ssba, saba, sba2, rat, fq, qtotal, qpixel; float originx, originy, qfy, qly, qfx, qlx, bias, maxpix, minmax; double chi2x, meanx, chi2y, meany, chi2ymin, chi2xmin, chi21max; double hchi2, hndof, prvav, mpv, sigmaQ, kappa, xvav, beta2; float ytemp[41][BYSIZE], xtemp[41][BXSIZE], ysum[BYSIZE], xsum[BXSIZE], ysort[BYSIZE], xsort[BXSIZE]; float chi2ybin[41], chi2xbin[41], ysig2[BYSIZE], xsig2[BXSIZE]; float yw2[BYSIZE], xw2[BXSIZE], ysw[BYSIZE], xsw[BXSIZE]; bool yd[BYSIZE], xd[BXSIZE], anyyd, anyxd, calc_probQ, use_VVIObj; float ysize, xsize; const float probmin={1.110223e-16}; const float probQmin={1.e-5}; // The minimum chi2 for a valid one pixel cluster = pseudopixel contribution only const double mean1pix={0.100}, chi21min={0.160}; // First, interpolate the template needed to analyze this cluster // check to see of the track direction is in the physical range of the loaded template if(!templ.interpolate(id, cotalpha, cotbeta, locBz)) { if (theVerboseLevel > 2) {LOGDEBUG("SiPixelTemplateReco") << "input cluster direction cot(alpha) = " << cotalpha << ", cot(beta) = " << cotbeta<< ", local B_z = " << locBz << ", template ID = " << id << ", no reconstruction performed" << ENDL;} return 20; } // Make a local copy of the cluster container so that we can muck with it array_2d cluster = clust; // Check to see if Q probability is selected calc_probQ = false; use_VVIObj = false; if(speed < 0) { calc_probQ = true; if(speed < -1) use_VVIObj = true; speed = 0; } if(speed > 3) { calc_probQ = true; if(speed < 5) use_VVIObj = true; speed = 3; } // Get pixel dimensions from the template (to allow multiple detectors in the future) xsize = templ.xsize(); ysize = templ.ysize(); // Define size of pseudopixel q50 = templ.s50(); pseudopix = 0.2f*q50; // Get charge scaling factor qscale = templ.qscale(); // Check that the cluster container is (up to) a 7x21 matrix and matches the dimensions of the double pixel flags if(cluster.num_dimensions() != 2) { LOGERROR("SiPixelTemplateReco") << "input cluster container (BOOST Multiarray) has wrong number of dimensions" << ENDL; return 3; } nclusx = (int)cluster.shape()[0]; nclusy = (int)cluster.shape()[1]; if(nclusx != (int)xdouble.size()) { LOGERROR("SiPixelTemplateReco") << "input cluster container x-size is not equal to double pixel flag container size" << ENDL; return 4; } if(nclusy != (int)ydouble.size()) { LOGERROR("SiPixelTemplateReco") << "input cluster container y-size is not equal to double pixel flag container size" << ENDL; return 5; } // enforce maximum size if(nclusx > TXSIZE) {nclusx = TXSIZE;} if(nclusy > TYSIZE) {nclusy = TYSIZE;} // First, rescale all pixel charges for(j=0; j<nclusx; ++j) for(i=0; i<nclusy; ++i) if(cluster[j][i] > 0) {cluster[j][i] *= qscale;} // Next, sum the total charge and "decapitate" big pixels qtotal = 0.f; minmax = templ.pixmax(); for(i=0; i<nclusy; ++i) { maxpix = minmax; if(ydouble[i]) {maxpix *=2.f;} for(j=0; j<nclusx; ++j) { qtotal += cluster[j][i]; if(cluster[j][i] > maxpix) {cluster[j][i] = maxpix;} } } // Do the cluster repair here if(deadpix) { fypix = BYM3; lypix = -1; for(i=0; i<nclusy; ++i) { ysum[i] = 0.f; nyzero[i] = 0; // Do preliminary cluster projection in y for(j=0; j<nclusx; ++j) { ysum[i] += cluster[j][i]; } if(ysum[i] > 0.f) { // identify ends of cluster to determine what the missing charge should be if(i < fypix) {fypix = i;} if(i > lypix) {lypix = i;} } } // Now loop over dead pixel list and "fix" everything //First see if the cluster ends are redefined and that we have only one dead pixel per column std::vector<std::pair<int, int> >::const_iterator zeroIter = zeropix.begin(), zeroEnd = zeropix.end(); for ( ; zeroIter != zeroEnd; ++zeroIter ) { i = zeroIter->second; if(i<0 || i>TYSIZE-1) {LOGERROR("SiPixelTemplateReco") << "dead pixel column y-index " << i << ", no reconstruction performed" << ENDL; return 11;} // count the number of dead pixels in each column ++nyzero[i]; // allow them to redefine the cluster ends if(i < fypix) {fypix = i;} if(i > lypix) {lypix = i;} } nypix = lypix-fypix+1; // Now adjust the charge in the dead pixels to sum to 0.5*truncation value in the end columns and the truncation value in the interior columns for (zeroIter = zeropix.begin(); zeroIter != zeroEnd; ++zeroIter ) { i = zeroIter->second; j = zeroIter->first; if(j<0 || j>TXSIZE-1) {LOGERROR("SiPixelTemplateReco") << "dead pixel column x-index " << j << ", no reconstruction performed" << ENDL; return 12;} if((i == fypix || i == lypix) && nypix > 1) {maxpix = templ.symax()/2.;} else {maxpix = templ.symax();} if(ydouble[i]) {maxpix *=2.;} if(nyzero[i] > 0 && nyzero[i] < 3) {qpixel = (maxpix - ysum[i])/(float)nyzero[i];} else {qpixel = 1.;} if(qpixel < 1.) {qpixel = 1.;} cluster[j][i] = qpixel; // Adjust the total cluster charge to reflect the charge of the "repaired" cluster qtotal += qpixel; } // End of cluster repair section } // Next, make y-projection of the cluster and copy the double pixel flags into a 25 element container for(i=0; i<BYSIZE; ++i) { ysum[i] = 0.f; yd[i] = false;} k=0; anyyd = false; for(i=0; i<nclusy; ++i) { for(j=0; j<nclusx; ++j) { ysum[k] += cluster[j][i]; } // If this is a double pixel, put 1/2 of the charge in 2 consective single pixels if(ydouble[i]) { ysum[k] /= 2.f; ysum[k+1] = ysum[k]; yd[k] = true; yd[k+1] = false; k=k+2; anyyd = true; } else { yd[k] = false; ++k; } if(k > BYM1) {break;} } // Next, make x-projection of the cluster and copy the double pixel flags into an 11 element container for(i=0; i<BXSIZE; ++i) { xsum[i] = 0.f; xd[i] = false;} k=0; anyxd = false; for(j=0; j<nclusx; ++j) { for(i=0; i<nclusy; ++i) { xsum[k] += cluster[j][i]; } // If this is a double pixel, put 1/2 of the charge in 2 consective single pixels if(xdouble[j]) { xsum[k] /= 2.; xsum[k+1] = xsum[k]; xd[k]=true; xd[k+1]=false; k=k+2; anyxd = true; } else { xd[k]=false; ++k; } if(k > BXM1) {break;} } // next, identify the y-cluster ends, count total pixels, nypix, and logical pixels, logypx fypix=-1; nypix=0; lypix=0; logypx=0; for(i=0; i<BYSIZE; ++i) { if(ysum[i] > 0.f) { if(fypix == -1) {fypix = i;} if(!yd[i]) { ysort[logypx] = ysum[i]; ++logypx; } ++nypix; lypix = i; } } // dlengthy = (float)nypix - templ.clsleny(); // Make sure cluster is continuous if((lypix-fypix+1) != nypix || nypix == 0) { LOGDEBUG("SiPixelTemplateReco") << "y-length of pixel cluster doesn't agree with number of pixels above threshold" << ENDL; if (theVerboseLevel > 2) { LOGDEBUG("SiPixelTemplateReco") << "ysum[] = "; for(i=0; i<BYSIZE-1; ++i) {LOGDEBUG("SiPixelTemplateReco") << ysum[i] << ", ";} LOGDEBUG("SiPixelTemplateReco") << ysum[BYSIZE-1] << ENDL; } return 1; } // If cluster is longer than max template size, technique fails if(nypix > TYSIZE) { LOGDEBUG("SiPixelTemplateReco") << "y-length of pixel cluster is larger than maximum template size" << ENDL; if (theVerboseLevel > 2) { LOGDEBUG("SiPixelTemplateReco") << "ysum[] = "; for(i=0; i<BYSIZE-1; ++i) {LOGDEBUG("SiPixelTemplateReco") << ysum[i] << ", ";} LOGDEBUG("SiPixelTemplateReco") << ysum[BYSIZE-1] << ENDL; } return 6; } // Remember these numbers for later //fypix2D = fypix; //lypix2D = lypix; // next, center the cluster on template center if necessary midpix = (fypix+lypix)/2; shifty = templ.cytemp() - midpix; if(shifty > 0) { for(i=lypix; i>=fypix; --i) { ysum[i+shifty] = ysum[i]; ysum[i] = 0.; yd[i+shifty] = yd[i]; yd[i] = false; } } else if (shifty < 0) { for(i=fypix; i<=lypix; ++i) { ysum[i+shifty] = ysum[i]; ysum[i] = 0.; yd[i+shifty] = yd[i]; yd[i] = false; } } lypix +=shifty; fypix +=shifty; // If the cluster boundaries are OK, add pesudopixels, otherwise quit if(fypix > 1 && fypix < BYM2) { ysum[fypix-1] = pseudopix; ysum[fypix-2] = pseudopix; } else {return 8;} if(lypix > 1 && lypix < BYM2) { ysum[lypix+1] = pseudopix; ysum[lypix+2] = pseudopix; } else {return 8;} // finally, determine if pixel[0] is a double pixel and make an origin correction if it is if(ydouble[0]) { originy = -0.5f; } else { originy = 0.f; } // next, identify the x-cluster ends, count total pixels, nxpix, and logical pixels, logxpx fxpix=-1; nxpix=0; lxpix=0; logxpx=0; for(i=0; i<BXSIZE; ++i) { if(xsum[i] > 0.) { if(fxpix == -1) {fxpix = i;} if(!xd[i]) { xsort[logxpx] = xsum[i]; ++logxpx; } ++nxpix; lxpix = i; } } // dlengthx = (float)nxpix - templ.clslenx(); // Make sure cluster is continuous if((lxpix-fxpix+1) != nxpix) { LOGDEBUG("SiPixelTemplateReco") << "x-length of pixel cluster doesn't agree with number of pixels above threshold" << ENDL; if (theVerboseLevel > 2) { LOGDEBUG("SiPixelTemplateReco") << "xsum[] = "; for(i=0; i<BXSIZE-1; ++i) {LOGDEBUG("SiPixelTemplateReco") << xsum[i] << ", ";} LOGDEBUG("SiPixelTemplateReco") << ysum[BXSIZE-1] << ENDL; } return 2; } // If cluster is longer than max template size, technique fails if(nxpix > TXSIZE) { LOGDEBUG("SiPixelTemplateReco") << "x-length of pixel cluster is larger than maximum template size" << ENDL; if (theVerboseLevel > 2) { LOGDEBUG("SiPixelTemplateReco") << "xsum[] = "; for(i=0; i<BXSIZE-1; ++i) {LOGDEBUG("SiPixelTemplateReco") << xsum[i] << ", ";} LOGDEBUG("SiPixelTemplateReco") << ysum[BXSIZE-1] << ENDL; } return 7; } // Remember these numbers for later //fxpix2D = fxpix; //lxpix2D = lxpix; // next, center the cluster on template center if necessary midpix = (fxpix+lxpix)/2; shiftx = templ.cxtemp() - midpix; if(shiftx > 0) { for(i=lxpix; i>=fxpix; --i) { xsum[i+shiftx] = xsum[i]; xsum[i] = 0.; xd[i+shiftx] = xd[i]; xd[i] = false; } } else if (shiftx < 0) { for(i=fxpix; i<=lxpix; ++i) { xsum[i+shiftx] = xsum[i]; xsum[i] = 0.; xd[i+shiftx] = xd[i]; xd[i] = false; } } lxpix +=shiftx; fxpix +=shiftx; // If the cluster boundaries are OK, add pesudopixels, otherwise quit if(fxpix > 1 && fxpix < BXM2) { xsum[fxpix-1] = pseudopix; xsum[fxpix-2] = pseudopix; } else {return 9;} if(lxpix > 1 && lxpix < BXM2) { xsum[lxpix+1] = pseudopix; xsum[lxpix+2] = pseudopix; } else {return 9;} // finally, determine if pixel[0] is a double pixel and make an origin correction if it is if(xdouble[0]) { originx = -0.5f; } else { originx = 0.f; } // uncertainty and final corrections depend upon total charge bin fq = qtotal/templ.qavg(); if(fq > 1.5f) { binq=0; } else { if(fq > 1.0f) { binq=1; } else { if(fq > 0.85f) { binq=2; } else { binq=3; } } } // Return the charge bin via the parameter list unless the charge is too small (then flag it) qbin = binq; if(!deadpix && qtotal < 0.95f*templ.qmin()) {qbin = 5;} else { if(!deadpix && qtotal < 0.95f*templ.qmin(1)) {qbin = 4;} } if (theVerboseLevel > 9) { LOGDEBUG("SiPixelTemplateReco") << "ID = " << id << " cot(alpha) = " << cotalpha << " cot(beta) = " << cotbeta << " nclusx = " << nclusx << " nclusy = " << nclusy << ENDL; } // Next, copy the y- and x-templates to local arrays // First, decide on chi^2 min search parameters #ifndef SI_PIXEL_TEMPLATE_STANDALONE if(speed < 0 || speed > 3) { throw cms::Exception("DataCorrupt") << "SiPixelTemplateReco::PixelTempReco2D called with illegal speed = " << speed << std::endl; } #else assert(speed >= 0 && speed < 4); #endif fybin = 2; lybin = 38; fxbin = 2; lxbin = 38; djy = 1; djx = 1; if(speed > 0) { fybin = 8; lybin = 32; if(yd[fypix]) {fybin = 4; lybin = 36;} if(lypix > fypix) { if(yd[lypix-1]) {fybin = 4; lybin = 36;} } fxbin = 8; lxbin = 32; if(xd[fxpix]) {fxbin = 4; lxbin = 36;} if(lxpix > fxpix) { if(xd[lxpix-1]) {fxbin = 4; lxbin = 36;} } } if(speed > 1) { djy = 2; djx = 2; if(speed > 2) { if(!anyyd) {djy = 4;} if(!anyxd) {djx = 4;} } } if (theVerboseLevel > 9) { LOGDEBUG("SiPixelTemplateReco") << "fypix " << fypix << " lypix = " << lypix << " fybin = " << fybin << " lybin = " << lybin << " djy = " << djy << " logypx = " << logypx << ENDL; LOGDEBUG("SiPixelTemplateReco") << "fxpix " << fxpix << " lxpix = " << lxpix << " fxbin = " << fxbin << " lxbin = " << lxbin << " djx = " << djx << " logxpx = " << logxpx << ENDL; } // Now do the copies templ.ytemp(fybin, lybin, ytemp); templ.xtemp(fxbin, lxbin, xtemp); // Do the y-reconstruction first // Apply the first-pass template algorithm to all clusters // Modify the template if double pixels are present if(nypix > logypx) { i=fypix; while(i < lypix) { if(yd[i] && !yd[i+1]) { for(j=fybin; j<=lybin; ++j) { // Sum the adjacent cells and put the average signal in both sigavg = (ytemp[j][i] + ytemp[j][i+1])/2.f; ytemp[j][i] = sigavg; ytemp[j][i+1] = sigavg; } i += 2; } else { ++i; } } } // Define the maximum signal to allow before de-weighting a pixel sythr = 1.1*(templ.symax()); // Make sure that there will be at least two pixels that are not de-weighted std::sort(&ysort[0], &ysort[logypx]); if(logypx == 1) {sythr = 1.01f*ysort[0];} else { if (ysort[1] > sythr) { sythr = 1.01f*ysort[1]; } } // Evaluate pixel-by-pixel uncertainties (weights) for the templ analysis // for(i=0; i<BYSIZE; ++i) { ysig2[i] = 0.;} templ.ysigma2(fypix, lypix, sythr, ysum, ysig2); // Find the template bin that minimizes the Chi^2 chi2ymin = 1.e15; for(i=fybin; i<=lybin; ++i) { chi2ybin[i] = -1.e15f;} ss2 = 0.f; for(i=fypix-2; i<=lypix+2; ++i) { yw2[i] = 1.f/ysig2[i]; ysw[i] = ysum[i]*yw2[i]; ss2 += ysum[i]*ysw[i]; } minbin = -1; deltaj = djy; jmin = fybin; jmax = lybin; while(deltaj > 0) { for(j=jmin; j<=jmax; j+=deltaj) { if(chi2ybin[j] < -100.f) { ssa = 0.f; sa2 = 0.f; for(i=fypix-2; i<=lypix+2; ++i) { ssa += ysw[i]*ytemp[j][i]; sa2 += ytemp[j][i]*ytemp[j][i]*yw2[i]; } rat=ssa/ss2; if(rat <= 0.f) {LOGERROR("SiPixelTemplateReco") << "illegal chi2ymin normalization (1) = " << rat << ENDL; rat = 1.;} chi2ybin[j]=ss2-2.f*ssa/rat+sa2/(rat*rat); } if(chi2ybin[j] < chi2ymin) { chi2ymin = chi2ybin[j]; minbin = j; } } deltaj /= 2; if(minbin > fybin) {jmin = minbin - deltaj;} else {jmin = fybin;} if(minbin < lybin) {jmax = minbin + deltaj;} else {jmax = lybin;} } if (theVerboseLevel > 9) { LOGDEBUG("SiPixelTemplateReco") << "minbin " << minbin << " chi2ymin = " << chi2ymin << ENDL; } // Do not apply final template pass to 1-pixel clusters (use calibrated offset) if(logypx == 1) { if(nypix ==1) { delta = templ.dyone(); sigma = templ.syone(); } else { delta = templ.dytwo(); sigma = templ.sytwo(); } yrec = 0.5f*(fypix+lypix-2*shifty+2.f*originy)*ysize-delta; if(sigma <= 0.f) { sigmay = 43.3f; } else { sigmay = sigma; } // Do probability calculation for one-pixel clusters chi21max = fmax(chi21min, (double)templ.chi2yminone()); chi2ymin -=chi21max; if(chi2ymin < 0.) {chi2ymin = 0.;} // proby = gsl_cdf_chisq_Q(chi2ymin, mean1pix); meany = fmax(mean1pix, (double)templ.chi2yavgone()); hchi2 = chi2ymin/2.; hndof = meany/2.; proby = 1. - TMath::Gamma(hndof, hchi2); } else { // For cluster > 1 pix, make the second, interpolating pass with the templates binl = minbin - 1; binh = binl + 2; if(binl < fybin) { binl = fybin;} if(binh > lybin) { binh = lybin;} ssa = 0.; sa2 = 0.; ssba = 0.; saba = 0.; sba2 = 0.; for(i=fypix-2; i<=lypix+2; ++i) { ssa += ysw[i]*ytemp[binl][i]; sa2 += ytemp[binl][i]*ytemp[binl][i]*yw2[i]; ssba += ysw[i]*(ytemp[binh][i] - ytemp[binl][i]); saba += ytemp[binl][i]*(ytemp[binh][i] - ytemp[binl][i])*yw2[i]; sba2 += (ytemp[binh][i] - ytemp[binl][i])*(ytemp[binh][i] - ytemp[binl][i])*yw2[i]; } // rat is the fraction of the "distance" from template a to template b rat=(ssba*ssa-ss2*saba)/(ss2*sba2-ssba*ssba); if(rat < 0.f) {rat=0.f;} if(rat > 1.f) {rat=1.0f;} rnorm = (ssa+rat*ssba)/ss2; // Calculate the charges in the first and last pixels qfy = ysum[fypix]; if(yd[fypix]) {qfy+=ysum[fypix+1];} if(logypx > 1) { qly=ysum[lypix]; if(yd[lypix-1]) {qly+=ysum[lypix-1];} } else { qly = qfy; } // Now calculate the mean bias correction and uncertainties float qyfrac = (qfy-qly)/(qfy+qly); bias = templ.yflcorr(binq,qyfrac)+templ.yavg(binq); // uncertainty and final correction depend upon charge bin yrec = (0.125f*binl+BHY-2.5f+rat*(binh-binl)*0.125f-(float)shifty+originy)*ysize - bias; sigmay = templ.yrms(binq); // Do goodness of fit test in y if(rnorm <= 0.) {LOGERROR("SiPixelTemplateReco") << "illegal chi2y normalization (2) = " << rnorm << ENDL; rnorm = 1.;} chi2y=ss2-2./rnorm*ssa-2./rnorm*rat*ssba+(sa2+2.*rat*saba+rat*rat*sba2)/(rnorm*rnorm)-templ.chi2ymin(binq); if(chi2y < 0.0) {chi2y = 0.0;} meany = templ.chi2yavg(binq); if(meany < 0.01) {meany = 0.01;} // gsl function that calculates the chi^2 tail prob for non-integral dof // proby = gsl_cdf_chisq_Q(chi2y, meany); // proby = ROOT::Math::chisquared_cdf_c(chi2y, meany); hchi2 = chi2y/2.; hndof = meany/2.; proby = 1. - TMath::Gamma(hndof, hchi2); } // Do the x-reconstruction next // Apply the first-pass template algorithm to all clusters // Modify the template if double pixels are present if(nxpix > logxpx) { i=fxpix; while(i < lxpix) { if(xd[i] && !xd[i+1]) { for(j=fxbin; j<=lxbin; ++j) { // Sum the adjacent cells and put the average signal in both sigavg = (xtemp[j][i] + xtemp[j][i+1])/2.f; xtemp[j][i] = sigavg; xtemp[j][i+1] = sigavg; } i += 2; } else { ++i; } } } // Define the maximum signal to allow before de-weighting a pixel sxthr = 1.1f*templ.sxmax(); // Make sure that there will be at least two pixels that are not de-weighted std::sort(&xsort[0], &xsort[logxpx]); if(logxpx == 1) {sxthr = 1.01f*xsort[0];} else { if (xsort[1] > sxthr) { sxthr = 1.01f*xsort[1]; } } // Evaluate pixel-by-pixel uncertainties (weights) for the templ analysis // for(i=0; i<BXSIZE; ++i) { xsig2[i] = 0.; } templ.xsigma2(fxpix, lxpix, sxthr, xsum, xsig2); // Find the template bin that minimizes the Chi^2 chi2xmin = 1.e15; for(i=fxbin; i<=lxbin; ++i) { chi2xbin[i] = -1.e15f;} ss2 = 0.f; for(i=fxpix-2; i<=lxpix+2; ++i) { xw2[i] = 1.f/xsig2[i]; xsw[i] = xsum[i]*xw2[i]; ss2 += xsum[i]*xsw[i]; } minbin = -1; deltaj = djx; jmin = fxbin; jmax = lxbin; while(deltaj > 0) { for(j=jmin; j<=jmax; j+=deltaj) { if(chi2xbin[j] < -100.f) { ssa = 0.f; sa2 = 0.f; for(i=fxpix-2; i<=lxpix+2; ++i) { ssa += xsw[i]*xtemp[j][i]; sa2 += xtemp[j][i]*xtemp[j][i]*xw2[i]; } rat=ssa/ss2; if(rat <= 0.f) {LOGERROR("SiPixelTemplateReco") << "illegal chi2xmin normalization (1) = " << rat << ENDL; rat = 1.;} chi2xbin[j]=ss2-2.f*ssa/rat+sa2/(rat*rat); } if(chi2xbin[j] < chi2xmin) { chi2xmin = chi2xbin[j]; minbin = j; } } deltaj /= 2; if(minbin > fxbin) {jmin = minbin - deltaj;} else {jmin = fxbin;} if(minbin < lxbin) {jmax = minbin + deltaj;} else {jmax = lxbin;} } if (theVerboseLevel > 9) { LOGDEBUG("SiPixelTemplateReco") << "minbin " << minbin << " chi2xmin = " << chi2xmin << ENDL; } // Do not apply final template pass to 1-pixel clusters (use calibrated offset) if(logxpx == 1) { if(nxpix ==1) { delta = templ.dxone(); sigma = templ.sxone(); } else { delta = templ.dxtwo(); sigma = templ.sxtwo(); } xrec = 0.5*(fxpix+lxpix-2*shiftx+2.*originx)*xsize-delta; if(sigma <= 0.) { sigmax = 28.9; } else { sigmax = sigma; } // Do probability calculation for one-pixel clusters chi21max = fmax(chi21min, (double)templ.chi2xminone()); chi2xmin -=chi21max; if(chi2xmin < 0.) {chi2xmin = 0.;} meanx = fmax(mean1pix, (double)templ.chi2xavgone()); hchi2 = chi2xmin/2.; hndof = meanx/2.; probx = 1. - TMath::Gamma(hndof, hchi2); } else { // Now make the second, interpolating pass with the templates binl = minbin - 1; binh = binl + 2; if(binl < fxbin) { binl = fxbin;} if(binh > lxbin) { binh = lxbin;} ssa = 0.; sa2 = 0.; ssba = 0.; saba = 0.; sba2 = 0.; for(i=fxpix-2; i<=lxpix+2; ++i) { ssa += xsw[i]*xtemp[binl][i]; sa2 += xtemp[binl][i]*xtemp[binl][i]*xw2[i]; ssba += xsw[i]*(xtemp[binh][i] - xtemp[binl][i]); saba += xtemp[binl][i]*(xtemp[binh][i] - xtemp[binl][i])*xw2[i]; sba2 += (xtemp[binh][i] - xtemp[binl][i])*(xtemp[binh][i] - xtemp[binl][i])*xw2[i]; } // rat is the fraction of the "distance" from template a to template b rat=(ssba*ssa-ss2*saba)/(ss2*sba2-ssba*ssba); if(rat < 0.f) {rat=0.f;} if(rat > 1.f) {rat=1.0f;} rnorm = (ssa+rat*ssba)/ss2; // Calculate the charges in the first and last pixels qfx = xsum[fxpix]; if(xd[fxpix]) {qfx+=xsum[fxpix+1];} if(logxpx > 1) { qlx=xsum[lxpix]; if(xd[lxpix-1]) {qlx+=xsum[lxpix-1];} } else { qlx = qfx; } // Now calculate the mean bias correction and uncertainties float qxfrac = (qfx-qlx)/(qfx+qlx); bias = templ.xflcorr(binq,qxfrac)+templ.xavg(binq); // uncertainty and final correction depend upon charge bin xrec = (0.125f*binl+BHX-2.5f+rat*(binh-binl)*0.125f-(float)shiftx+originx)*xsize - bias; sigmax = templ.xrms(binq); // Do goodness of fit test in x if(rnorm <= 0.) {LOGERROR("SiPixelTemplateReco") << "illegal chi2x normalization (2) = " << rnorm << ENDL; rnorm = 1.;} chi2x=ss2-2./rnorm*ssa-2./rnorm*rat*ssba+(sa2+2.*rat*saba+rat*rat*sba2)/(rnorm*rnorm)-templ.chi2xmin(binq); if(chi2x < 0.0) {chi2x = 0.0;} meanx = templ.chi2xavg(binq); if(meanx < 0.01) {meanx = 0.01;} // gsl function that calculates the chi^2 tail prob for non-integral dof // probx = gsl_cdf_chisq_Q(chi2x, meanx); // probx = ROOT::Math::chisquared_cdf_c(chi2x, meanx, trx0); hchi2 = chi2x/2.; hndof = meanx/2.; probx = 1. - TMath::Gamma(hndof, hchi2); } // Don't return exact zeros for the probability if(proby < probmin) {proby = probmin;} if(probx < probmin) {probx = probmin;} // Decide whether to generate a cluster charge probability if(calc_probQ) { // Calculate the Vavilov probability that the cluster charge is OK templ.vavilov_pars(mpv, sigmaQ, kappa); #ifndef SI_PIXEL_TEMPLATE_STANDALONE if((sigmaQ <=0.) || (mpv <= 0.) || (kappa < 0.01) || (kappa > 9.9)) { throw cms::Exception("DataCorrupt") << "SiPixelTemplateReco::Vavilov parameters mpv/sigmaQ/kappa = " << mpv << "/" << sigmaQ << "/" << kappa << std::endl; } #else assert((sigmaQ > 0.) && (mpv > 0.) && (kappa > 0.01) && (kappa < 10.)); #endif xvav = ((double)qtotal-mpv)/sigmaQ; beta2 = 1.; if(use_VVIObj) { // VVIObj is a private port of CERNLIB VVIDIS VVIObj vvidist(kappa, beta2, 1); prvav = vvidist.fcn(xvav); } else { // Use faster but less accurate TMath Vavilov distribution function prvav = TMath::VavilovI(xvav, kappa, beta2); } // Change to upper tail probability // if(prvav > 0.5) prvav = 1. - prvav; // probQ = (float)(2.*prvav); probQ = 1. - prvav; if(probQ < probQmin) {probQ = probQmin;} } else { probQ = -1; } return 0; } // PixelTempReco2D
int SiPixelTemplateReco::PixelTempReco2D | ( | int | id, |
float | cotalpha, | ||
float | cotbeta, | ||
array_2d & | cluster, | ||
std::vector< bool > & | ydouble, | ||
std::vector< bool > & | xdouble, | ||
SiPixelTemplate & | templ, | ||
float & | yrec, | ||
float & | sigmay, | ||
float & | proby, | ||
float & | xrec, | ||
float & | sigmax, | ||
float & | probx, | ||
int & | qbin, | ||
int | speed | ||
) |
Reconstruct the best estimate of the hit position for pixel clusters.
id | - (input) identifier of the template to use |
cotalpha | - (input) the cotangent of the alpha track angle (see CMS IN 2004/014) |
cotbeta | - (input) the cotangent of the beta track angle (see CMS IN 2004/014) |
cluster | - (input) boost multi_array container of 7x21 array of pixel signals, origin of local coords (0,0) at center of pixel cluster[0][0]. |
ydouble | - (input) STL vector of 21 element array to flag a double-pixel |
xdouble | - (input) STL vector of 7 element array to flag a double-pixel |
templ | - (input) the template used in the reconstruction |
yrec | - (output) best estimate of y-coordinate of hit in microns |
sigmay | - (output) best estimate of uncertainty on yrec in microns |
proby | - (output) probability describing goodness-of-fit for y-reco |
xrec | - (output) best estimate of x-coordinate of hit in microns |
sigmax | - (output) best estimate of uncertainty on xrec in microns |
probx | - (output) probability describing goodness-of-fit for x-reco |
qbin | - (output) index (0-4) describing the charge of the cluster [0: 1.5<Q/Qavg, 1: 1<Q/Qavg<1.5, 2: 0.85<Q/Qavg<1, 3: 0.95Qmin<Q<0.85Qavg, 4: Q<0.95Qmin] |
speed | - (input) switch (0-3) trading speed vs robustness 0 totally bombproof, searches the entire 41 bin range at full density (equiv to V2_4) 1 faster, searches reduced 25 bin range (no big pix) + 33 bins (big pix at ends) at full density 2 faster yet, searches same range as 1 but at 1/2 density 3 fastest, searches same range as 1 but at 1/4 density (no big pix) and 1/2 density (big pix in cluster) |
Definition at line 1116 of file SiPixelTemplateReco.cc.
References PixelTempReco2D().
{ // Local variables const bool deadpix = false; std::vector<std::pair<int, int> > zeropix; float locBz = -1.f; if(cotbeta < 0.) {locBz = -locBz;} float probQ; if(speed < 0) speed = 0; if(speed > 3) speed = 3; return SiPixelTemplateReco::PixelTempReco2D(id, cotalpha, cotbeta, locBz, cluster, ydouble, xdouble, templ, yrec, sigmay, proby, xrec, sigmax, probx, qbin, speed, deadpix, zeropix, probQ); } // PixelTempReco2D
int SiPixelTemplateReco::PixelTempReco2D | ( | int | id, |
float | cotalpha, | ||
float | cotbeta, | ||
array_2d & | cluster, | ||
std::vector< bool > & | ydouble, | ||
std::vector< bool > & | xdouble, | ||
SiPixelTemplate & | templ, | ||
float & | yrec, | ||
float & | sigmay, | ||
float & | proby, | ||
float & | xrec, | ||
float & | sigmax, | ||
float & | probx, | ||
int & | qbin, | ||
int | speed, | ||
float & | probQ | ||
) |
Reconstruct the best estimate of the hit position for pixel clusters.
id | - (input) identifier of the template to use |
cotalpha | - (input) the cotangent of the alpha track angle (see CMS IN 2004/014) |
cotbeta | - (input) the cotangent of the beta track angle (see CMS IN 2004/014) |
cluster | - (input) boost multi_array container of 7x21 array of pixel signals, origin of local coords (0,0) at center of pixel cluster[0][0]. |
ydouble | - (input) STL vector of 21 element array to flag a double-pixel |
xdouble | - (input) STL vector of 7 element array to flag a double-pixel |
templ | - (input) the template used in the reconstruction |
yrec | - (output) best estimate of y-coordinate of hit in microns |
sigmay | - (output) best estimate of uncertainty on yrec in microns |
proby | - (output) probability describing goodness-of-fit for y-reco |
xrec | - (output) best estimate of x-coordinate of hit in microns |
sigmax | - (output) best estimate of uncertainty on xrec in microns |
probx | - (output) probability describing goodness-of-fit for x-reco |
qbin | - (output) index (0-4) describing the charge of the cluster [0: 1.5<Q/Qavg, 1: 1<Q/Qavg<1.5, 2: 0.85<Q/Qavg<1, 3: 0.95Qmin<Q<0.85Qavg, 4: Q<0.95Qmin] |
speed | - (input) switch (-1-4) trading speed vs robustness -1 totally bombproof, searches the entire 41 bin range at full density (equiv to V2_4), calculates Q probability 0 totally bombproof, searches the entire 41 bin range at full density (equiv to V2_4) 1 faster, searches reduced 25 bin range (no big pix) + 33 bins (big pix at ends) at full density 2 faster yet, searches same range as 1 but at 1/2 density 3 fastest, searches same range as 1 but at 1/4 density (no big pix) and 1/2 density (big pix in cluster) 4 fastest w/ Q prob, searches same range as 1 but at 1/4 density (no big pix) and 1/2 density (big pix in cluster), calculates Q probability |
probQ | - (output) the Vavilov-distribution-based cluster charge probability |
Definition at line 1072 of file SiPixelTemplateReco.cc.
References PixelTempReco2D().
{ // Local variables const bool deadpix = false; std::vector<std::pair<int, int> > zeropix; float locBz = -1.f; if(cotbeta < 0.) {locBz = -locBz;} return SiPixelTemplateReco::PixelTempReco2D(id, cotalpha, cotbeta, locBz, cluster, ydouble, xdouble, templ, yrec, sigmay, proby, xrec, sigmax, probx, qbin, speed, deadpix, zeropix, probQ); } // PixelTempReco2D
int SiPixelTemplateReco::PixelTempReco2D | ( | int | id, |
float | cotalpha, | ||
float | cotbeta, | ||
float | locBz, | ||
array_2d & | cluster, | ||
std::vector< bool > & | ydouble, | ||
std::vector< bool > & | xdouble, | ||
SiPixelTemplate & | templ, | ||
float & | yrec, | ||
float & | sigmay, | ||
float & | proby, | ||
float & | xrec, | ||
float & | sigmax, | ||
float & | probx, | ||
int & | qbin, | ||
int | speed, | ||
float & | probQ | ||
) |
Reconstruct the best estimate of the hit position for pixel clusters.
id | - (input) identifier of the template to use |
cotalpha | - (input) the cotangent of the alpha track angle (see CMS IN 2004/014) |
cotbeta | - (input) the cotangent of the beta track angle (see CMS IN 2004/014) |
locBz | - (input) the sign of the local B_z field for FPix (usually B_z<0 when cot(beta)>0 and B_z>0 when cot(beta)<0 |
cluster | - (input) boost multi_array container of 7x21 array of pixel signals, origin of local coords (0,0) at center of pixel cluster[0][0]. |
ydouble | - (input) STL vector of 21 element array to flag a double-pixel |
xdouble | - (input) STL vector of 7 element array to flag a double-pixel |
templ | - (input) the template used in the reconstruction |
yrec | - (output) best estimate of y-coordinate of hit in microns |
sigmay | - (output) best estimate of uncertainty on yrec in microns |
proby | - (output) probability describing goodness-of-fit for y-reco |
xrec | - (output) best estimate of x-coordinate of hit in microns |
sigmax | - (output) best estimate of uncertainty on xrec in microns |
probx | - (output) probability describing goodness-of-fit for x-reco |
qbin | - (output) index (0-4) describing the charge of the cluster [0: 1.5<Q/Qavg, 1: 1<Q/Qavg<1.5, 2: 0.85<Q/Qavg<1, 3: 0.95Qmin<Q<0.85Qavg, 4: Q<0.95Qmin] |
speed | - (input) switch (-1-4) trading speed vs robustness -1 totally bombproof, searches the entire 41 bin range at full density (equiv to V2_4), calculates Q probability 0 totally bombproof, searches the entire 41 bin range at full density (equiv to V2_4) 1 faster, searches reduced 25 bin range (no big pix) + 33 bins (big pix at ends) at full density 2 faster yet, searches same range as 1 but at 1/2 density 3 fastest, searches same range as 1 but at 1/4 density (no big pix) and 1/2 density (big pix in cluster) 4 fastest w/ Q prob, searches same range as 1 but at 1/4 density (no big pix) and 1/2 density (big pix in cluster), calculates Q probability |
probQ | - (output) the Vavilov-distribution-based cluster charge probability |
Definition at line 1028 of file SiPixelTemplateReco.cc.
References PixelTempReco2D().
{ // Local variables const bool deadpix = false; std::vector<std::pair<int, int> > zeropix; return SiPixelTemplateReco::PixelTempReco2D(id, cotalpha, cotbeta, locBz, cluster, ydouble, xdouble, templ, yrec, sigmay, proby, xrec, sigmax, probx, qbin, speed, deadpix, zeropix, probQ); } // PixelTempReco2D