#include "DataFormats/CTPPSDetId/interface/CTPPSDetId.h"
#include <TMatrixD.h>

Functions
void	factorRPFromSensorCorrections (const CTPPSRPAlignmentCorrectionsData &input, CTPPSRPAlignmentCorrectionsData &expanded, CTPPSRPAlignmentCorrectionsData &factored, const AlignmentGeometry &, bool equalWeights=false, unsigned int verbosity=0)

void	print (TMatrixD &m, const char *label=nullptr, bool mathematicaFormat=false)

void	printId (unsigned int id)

Function Documentation

void factorRPFromSensorCorrections	(	const CTPPSRPAlignmentCorrectionsData &	input,
		CTPPSRPAlignmentCorrectionsData &	expanded,
		CTPPSRPAlignmentCorrectionsData &	factored,
		const AlignmentGeometry &	,
		bool	equalWeights = `false`,
		unsigned int	verbosity = `0`
	)

NOTE ON ERROR PROPAGATION

It is not possible to split (and merge again) the experimental errors between the RP and sensor contributions. To do so, one would need to keep the entire covariance matrix. Thus, it has been decided to save: RP errors = the uncertainty of the common shift/rotation sensor error = the full experimental uncertainty In consequence: RP and sensor errors SHOULD NEVER BE SUMMED!

Definition at line 93 of file Utilities.cc.

References funct::abs(), CTPPSRPAlignmentCorrectionsData::addRPCorrection(), CTPPSRPAlignmentCorrectionsData::addSensorCorrection(), CTPPSDetId::arm(), B, CTPPSRPAlignmentCorrectionsData::clear(), DetGeometry::DirectionData::dx, AlignmentGeometry::get(), DetGeometry::getDirectionData(), CTPPSRPAlignmentCorrectionsData::getFullSensorCorrection(), CTPPSRPAlignmentCorrectionsData::getSensorMap(), JetComb::kMult, funct::pow(), gpuVertexFinder::printf(), CTPPSDetId::rp(), CTPPSDetId::rpId(), CTPPSDetId::sdTrackingPixel, CTPPSDetId::sdTrackingStrip, CTPPSRPAlignmentCorrectionsData::setSensorCorrection(), mathSSE::sqrt(), CTPPSDetId::station(), and DetId::subdetId().

Referenced by PPSModifySingularModes::beginRun(), and StraightTrackAlignment::finish().

                                                            {
   // clean first
   expandedAlignments.clear();
   factoredAlignments.clear();
 
   // save full sensor alignments
   map<unsigned int, CTPPSRPAlignmentCorrectionData> fullAlignments;
   map<unsigned int, set<unsigned int> > sensorsPerRP;
   for (auto it : inputAlignments.getSensorMap()) {
     const auto &sensorId = it.first;
 
     // with useRPErrors=false the only the sensor uncertainties (coming from the last analysis step) will be used
     fullAlignments[sensorId] = inputAlignments.getFullSensorCorrection(sensorId, false);
 
     sensorsPerRP[CTPPSDetId(sensorId).rpId()].insert(sensorId);
   }
 
   // convert full alignments to expandedAlignments
   for (const auto &it : fullAlignments) {
     expandedAlignments.setSensorCorrection(it.first, it.second);
   }
 
   // do the factorization RP per RP
   for (const auto &rpit : sensorsPerRP) {
     CTPPSDetId rpId(rpit.first);
     const set<unsigned int> &sensors = rpit.second;
 
     if (verbosity)
       printf("* processing RP %u (%u)\n", rpit.first, 100 * rpId.arm() + 10 * rpId.station() + rpId.rp());
 
     // determine number of constraints
     unsigned int n_constraints = 0;
     for (const auto &senId : sensors) {
       CTPPSDetId detId(senId);
 
       if (rpId.subdetId() == CTPPSDetId::sdTrackingStrip)
         n_constraints += 1;
 
       if (rpId.subdetId() == CTPPSDetId::sdTrackingPixel)
         n_constraints += 2;
     }
 
     // build matrices
     TMatrixD B(n_constraints, 2), Vi(n_constraints, n_constraints), VarM(n_constraints, n_constraints);
     TVectorD M(n_constraints);
 
     double sw2_sh_z = 0., svw2_sh_z = 0., su2w4_sh_z = 0.;
     double sw2_rot_x = 0., svw2_rot_x = 0., su2w4_rot_x = 0.;
     double sw2_rot_y = 0., svw2_rot_y = 0., su2w4_rot_y = 0.;
     double sw2_rot_z = 0., svw2_rot_z = 0., su2w4_rot_z = 0.;
 
     unsigned int idx = 0;
     for (const auto &senId : sensors) {
       CTPPSDetId detId(senId);
 
       const double v_sh_z = fullAlignments[senId].getShZ();
       const double u_sh_z = (fullAlignments[senId].getShZUnc() > 0.) ? fullAlignments[senId].getShZUnc() : 1.;
       const double w_sh_z = (equalWeights) ? 1. : 1. / u_sh_z;
       sw2_sh_z += w_sh_z * w_sh_z;
       svw2_sh_z += v_sh_z * w_sh_z * w_sh_z;
       su2w4_sh_z += u_sh_z * u_sh_z * w_sh_z * w_sh_z * w_sh_z * w_sh_z;
 
       const double v_rot_x = fullAlignments[senId].getRotX();
       const double u_rot_x = (fullAlignments[senId].getRotXUnc() > 0.) ? fullAlignments[senId].getRotXUnc() : 1.;
       const double w_rot_x = (equalWeights) ? 1. : 1. / u_rot_x;
       sw2_rot_x += w_rot_x * w_rot_x;
       svw2_rot_x += v_rot_x * w_rot_x * w_rot_x;
       su2w4_rot_x += u_rot_x * u_rot_x * w_rot_x * w_rot_x * w_rot_x * w_rot_x;
 
       const double v_rot_y = fullAlignments[senId].getRotY();
       const double u_rot_y = (fullAlignments[senId].getRotYUnc() > 0.) ? fullAlignments[senId].getRotYUnc() : 1.;
       const double w_rot_y = (equalWeights) ? 1. : 1. / u_rot_y;
       sw2_rot_y += w_rot_y * w_rot_y;
       svw2_rot_y += v_rot_y * w_rot_y * w_rot_y;
       su2w4_rot_y += u_rot_y * u_rot_y * w_rot_y * w_rot_y * w_rot_y * w_rot_y;
 
       const double v_rot_z = fullAlignments[senId].getRotZ();
       const double u_rot_z = (fullAlignments[senId].getRotZUnc() > 0.) ? fullAlignments[senId].getRotZUnc() : 1.;
       const double w_rot_z = (equalWeights) ? 1. : 1. / u_rot_z;
       sw2_rot_z += w_rot_z * w_rot_z;
       svw2_rot_z += v_rot_z * w_rot_z * w_rot_z;
       su2w4_rot_z += u_rot_z * u_rot_z * w_rot_z * w_rot_z * w_rot_z * w_rot_z;
 
       if (rpId.subdetId() == CTPPSDetId::sdTrackingStrip) {
         auto d2 = geometry.get(senId).getDirectionData(2);
 
         B(idx, 0) = d2.dx;
         B(idx, 1) = d2.dy;
 
         M(idx) = d2.dx * fullAlignments[senId].getShX() + d2.dy * fullAlignments[senId].getShY();
         double unc =
             sqrt(pow(d2.dx * fullAlignments[senId].getShXUnc(), 2) + pow(d2.dy * fullAlignments[senId].getShYUnc(), 2));
         if (unc <= 0.)
           unc = 1.;
 
         Vi(idx, idx) = (equalWeights) ? 1. : 1. / unc / unc;
         VarM(idx, idx) = unc * unc;
 
         idx += 1;
       }
 
       if (rpId.subdetId() == CTPPSDetId::sdTrackingPixel) {
         B(idx + 0, 0) = 1.;
         B(idx + 0, 1) = 0.;
         M(idx + 0) = fullAlignments[senId].getShX();
         double x_unc = fullAlignments[senId].getShXUnc();
         if (x_unc <= 0.)
           x_unc = 1.;
         Vi(idx + 0, idx + 0) = (equalWeights) ? 1. : 1. / x_unc / x_unc;
         VarM(idx + 0, idx + 0) = x_unc * x_unc;
 
         B(idx + 1, 0) = 0.;
         B(idx + 1, 1) = 1.;
         M(idx + 1) = fullAlignments[senId].getShY();
         double y_unc = fullAlignments[senId].getShYUnc();
         if (y_unc <= 0.)
           y_unc = 1.;
         Vi(idx + 1, idx + 1) = (equalWeights) ? 1. : 1. / y_unc / y_unc;
         VarM(idx + 1, idx + 1) = y_unc * y_unc;
 
         idx += 2;
       }
     }
 
     // calculate per-RP alignment
     TMatrixD BT(TMatrixD::kTransposed, B);
     TMatrixD BTViB(BT, TMatrixD::kMult, Vi * B);
     TMatrixD BTViBi(TMatrixD::kInverted, BTViB);
     TMatrixD S(BTViBi * BT * Vi);
     TMatrixD ST(TMatrixD::kTransposed, S);
     TVectorD th_B(2);
     th_B = S * M;
     TMatrixD VarTh_B(S * VarM * ST);
 
     const double m_sh_x = th_B[0], m_sh_x_unc = sqrt(VarTh_B(0, 0));
     const double m_sh_y = th_B[1], m_sh_y_unc = sqrt(VarTh_B(1, 1));
     const double m_sh_z = svw2_sh_z / sw2_sh_z, m_sh_z_unc = sqrt(su2w4_sh_z) / sw2_sh_z;
 
     const double m_rot_x = svw2_rot_x / sw2_rot_x, m_rot_x_unc = sqrt(su2w4_rot_x) / sw2_rot_x;
     const double m_rot_y = svw2_rot_y / sw2_rot_y, m_rot_y_unc = sqrt(su2w4_rot_y) / sw2_rot_y;
     const double m_rot_z = svw2_rot_z / sw2_rot_z, m_rot_z_unc = sqrt(su2w4_rot_z) / sw2_rot_z;
 
     if (verbosity) {
       printf("    m_sh_x = (%.1f +- %.1f) um, m_sh_y = (%.1f +- %.1f) um, m_sh_z = (%.1f +- %.1f) mm\n",
              m_sh_x * 1E3,
              m_sh_x_unc * 1E3,
              m_sh_y * 1E3,
              m_sh_y_unc * 1E3,
              m_sh_z,
              m_sh_z_unc);
       printf("    m_rot_x = (%.1f +- %.1f) mrad, m_rot_y = (%.1f +- %.1f)  mrad, m_rot_z = (%.1f +- %.1f) mrad\n",
              m_rot_x * 1E3,
              m_rot_x_unc * 1E3,
              m_rot_y * 1E3,
              m_rot_y_unc * 1E3,
              m_rot_z * 1E3,
              m_rot_z_unc * 1E3);
     }
 
     factoredAlignments.addRPCorrection(rpId,
                                        CTPPSRPAlignmentCorrectionData(m_sh_x,
                                                                       m_sh_x_unc,
                                                                       m_sh_y,
                                                                       m_sh_y_unc,
                                                                       m_sh_z,
                                                                       m_sh_z_unc,
                                                                       m_rot_x,
                                                                       m_rot_x_unc,
                                                                       m_rot_y,
                                                                       m_rot_y_unc,
                                                                       m_rot_z,
                                                                       m_rot_z_unc));
 
     // calculate residuals
     for (const auto &senId : sensors) {
       CTPPSRPAlignmentCorrectionData rc;
 
       if (rpId.subdetId() == CTPPSDetId::sdTrackingStrip) {
         auto d2 = geometry.get(senId).getDirectionData(2);
 
         const double de_s =
             d2.dx * (fullAlignments[senId].getShX() - m_sh_x) + d2.dy * (fullAlignments[senId].getShY() - m_sh_y);
         const double de_s_unc =
             std::abs(d2.dx * fullAlignments[senId].getShXUnc() +
                      d2.dy * fullAlignments[senId].getShYUnc());  // the x and y components are fully correlated
 
         rc = CTPPSRPAlignmentCorrectionData(d2.dx * de_s,
                                             d2.dx * de_s_unc,
                                             d2.dy * de_s,
                                             d2.dy * de_s_unc,
                                             fullAlignments[senId].getShZ() - m_sh_z,
                                             fullAlignments[senId].getShZUnc(),
                                             fullAlignments[senId].getRotX() - m_rot_x,
                                             fullAlignments[senId].getRotXUnc(),
                                             fullAlignments[senId].getRotY() - m_rot_y,
                                             fullAlignments[senId].getRotYUnc(),
                                             fullAlignments[senId].getRotZ() - m_rot_z,
                                             fullAlignments[senId].getRotZUnc());
       }
 
       if (rpId.subdetId() == CTPPSDetId::sdTrackingPixel) {
         rc = CTPPSRPAlignmentCorrectionData(fullAlignments[senId].getShX() - m_sh_x,
                                             fullAlignments[senId].getShXUnc(),
                                             fullAlignments[senId].getShY() - m_sh_y,
                                             fullAlignments[senId].getShYUnc(),
                                             fullAlignments[senId].getShZ() - m_sh_z,
                                             fullAlignments[senId].getShZUnc(),
                                             fullAlignments[senId].getRotX() - m_rot_x,
                                             fullAlignments[senId].getRotXUnc(),
                                             fullAlignments[senId].getRotY() - m_rot_y,
                                             fullAlignments[senId].getRotYUnc(),
                                             fullAlignments[senId].getRotZ() - m_rot_z,
                                             fullAlignments[senId].getRotZUnc());
       }
 
       factoredAlignments.addSensorCorrection(senId, rc);
     }
   }
 }

void print	(	TMatrixD &	m,
		const char *	label = `nullptr`,
		bool	mathematicaFormat = `false`
	)

Definition at line 47 of file Utilities.cc.

References mps_fire::i, dqmiolumiharvest::j, gpuVertexFinder::printf(), and findQualityFiles::v.

                                                                    {
   if (mathematicaFormat) {
     printf("{");
     for (int i = 0; i < m.GetNrows(); i++) {
       if (i > 0)
         printf(", ");
       printf("{");
       for (int j = 0; j < m.GetNcols(); j++) {
         if (j > 0)
           printf(", ");
         printf("%.3f", m[i][j]);
       }
       printf("}");
     }
     printf("}\n");
     return;
   }
 
   if (label)
     printf("\n%s\n", label);
 
   printf("    | ");
   for (int j = 0; j < m.GetNcols(); j++)
     printf(" %9i", j);
   printf("\n------");
   for (int j = 0; j < m.GetNcols(); j++)
     printf("----------");
   printf("\n");
 
   for (int i = 0; i < m.GetNrows(); i++) {
     printf("%3i | ", i);
     for (int j = 0; j < m.GetNcols(); j++) {
       double v = m[i][j];
       if (fabs(v) >= 1E4)
         printf(" %+9.2E", v);
       else if (fabs(v) > 1E-6)
         printf(" %+9.2E", v);
       else
         printf("         0");
     }
     printf("\n");
   }
 }

void printId ( unsigned int id )

Definition at line 26 of file Utilities.cc.

References CTPPSDetId::arm(), CTPPSPixelDetId::plane(), CTPPSDiamondDetId::plane(), TotemRPDetId::plane(), gpuVertexFinder::printf(), CTPPSDetId::rp(), CTPPSDetId::sdTimingDiamond, CTPPSDetId::sdTrackingPixel, CTPPSDetId::sdTrackingStrip, CTPPSDetId::station(), and DetId::subdetId().

Referenced by StraightTrackAlignment::finish(), LocalTrackFitter::fitAndRemoveOutliers(), PPSFastLocalSimulation::GenerateTrack(), and AlignmentGeometry::print().

                               {
   CTPPSDetId detId(id);
 
   if (detId.subdetId() == CTPPSDetId::sdTrackingStrip) {
     TotemRPDetId stDetId(id);
     printf("strip %u (%3u.%u)", id, 100 * stDetId.arm() + 10 * stDetId.station() + stDetId.rp(), stDetId.plane());
   }
 
   if (detId.subdetId() == CTPPSDetId::sdTimingDiamond) {
     CTPPSDiamondDetId diDetId(id);
     printf("dimnd %u (%3u.%u)", id, 100 * diDetId.arm() + 10 * diDetId.station() + diDetId.rp(), diDetId.plane());
   }
 
   if (detId.subdetId() == CTPPSDetId::sdTrackingPixel) {
     CTPPSPixelDetId piDetId(id);
     printf("pixel %u (%3u.%u)", id, 100 * piDetId.arm() + 10 * piDetId.station() + piDetId.rp(), piDetId.plane());
   }
 }

Functions

Function Documentation