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#ifndef GlobalErrorType_H
#define GlobalErrorType_H
#include "DataFormats/GeometryCommonDetAlgo/interface/DeepCopyPointer.h"
#include "DataFormats/Math/interface/AlgebraicROOTObjects.h"
#include "DataFormats/GeometryVector/interface/GlobalPoint.h"
//
// Exceptions
//
#include "FWCore/Utilities/interface/Exception.h"
/**
* Templated class representing a symmetric 3*3 matrix describing, according
* to the ErrorWeightType tag, a (cartesian) covariance matrix or the weight
* matrix (the inverse of the covariance matrix).
* \li To have a covariance matrix, the ErrorMatrixTag has to be used, and a
* typedef is available as GlobalError
* \li To have a weight matrix, the WeightMatrixTag has to be used, and a
* typedef is available as Globalweight
*
* The typedefs should be used in the code.
*/
template <class T, class ErrorWeightType>
class GlobalErrorBase {
public:
/// Tag to request a null error matrix
class NullMatrix {};
/**
* Default constructor, creating a null 3*3 matrix (all values are 0)
*/
GlobalErrorBase() {}
/**
* Obsolete Constructor that allocates a null GlobalErrorBase (it does not create the error matrix at all)
*/
GlobalErrorBase(const NullMatrix&) {}
/**
* Constructor.
* The symmetric matrix stored as a lower triangular matrix
*/
GlobalErrorBase(T c11, T c21, T c22, T c31, T c32, T c33) {
theCartesianError(0, 0) = c11;
theCartesianError(1, 0) = c21;
theCartesianError(1, 1) = c22;
theCartesianError(2, 0) = c31;
theCartesianError(2, 1) = c32;
theCartesianError(2, 2) = c33;
theCartesianError(3, 0) = 0.;
theCartesianError(3, 1) = 0.;
theCartesianError(3, 2) = 0.;
theCartesianError(3, 3) = 0.;
}
/**
* Constructor.
* The symmetric matrix stored as a lower triangular matrix (4D)
*/
GlobalErrorBase(T c11, T c21, T c22, T c31, T c32, T c33, T c41, T c42, T c43, T c44) {
theCartesianError(0, 0) = c11;
theCartesianError(1, 0) = c21;
theCartesianError(1, 1) = c22;
theCartesianError(2, 0) = c31;
theCartesianError(2, 1) = c32;
theCartesianError(2, 2) = c33;
theCartesianError(3, 0) = c41;
theCartesianError(3, 1) = c42;
theCartesianError(3, 2) = c43;
theCartesianError(3, 3) = c44;
}
/**
* Constructor from SymMatrix. The original matrix has to be a 3*3 matrix.
*/
GlobalErrorBase(const AlgebraicSymMatrix33& err) {
theCartesianError(0, 0) = err(0, 0);
theCartesianError(1, 0) = err(1, 0);
theCartesianError(1, 1) = err(1, 1);
theCartesianError(2, 0) = err(2, 0);
theCartesianError(2, 1) = err(2, 1);
theCartesianError(2, 2) = err(2, 2);
theCartesianError(3, 0) = 0.;
theCartesianError(3, 1) = 0.;
theCartesianError(3, 2) = 0.;
theCartesianError(3, 3) = 0.;
}
/**
* Constructor from SymMatrix. The original matrix has to be a 4*4 matrix.
*/
GlobalErrorBase(const AlgebraicSymMatrix44& err) : theCartesianError(err) {}
~GlobalErrorBase() {}
T cxx() const { return theCartesianError(0, 0); }
T cyx() const { return theCartesianError(1, 0); }
T cyy() const { return theCartesianError(1, 1); }
T czx() const { return theCartesianError(2, 0); }
T czy() const { return theCartesianError(2, 1); }
T czz() const { return theCartesianError(2, 2); }
T ctx() const { return theCartesianError(3, 0); }
T cty() const { return theCartesianError(3, 1); }
T ctz() const { return theCartesianError(3, 2); }
T ctt() const { return theCartesianError(3, 3); }
/**
* Access method to the matrix,
* /return The SymMatrix
*/
const AlgebraicSymMatrix33 matrix() const {
AlgebraicSymMatrix33 out;
out(0, 0) = theCartesianError(0, 0);
out(1, 0) = theCartesianError(1, 0);
out(1, 1) = theCartesianError(1, 1);
out(2, 0) = theCartesianError(2, 0);
out(2, 1) = theCartesianError(2, 1);
out(2, 2) = theCartesianError(2, 2);
return out;
}
/**
* Access method to the matrix,
* /return The SymMatrix 4x4
*/
const AlgebraicSymMatrix44& matrix4D() const { return theCartesianError; }
T rerr(const GlobalPoint& aPoint) const {
T r2 = aPoint.perp2();
T x2 = aPoint.x() * aPoint.x();
T y2 = aPoint.y() * aPoint.y();
T xy = aPoint.x() * aPoint.y();
if (r2 != 0)
return std::max<T>(0, (1. / r2) * (x2 * cxx() + 2. * xy * cyx() + y2 * cyy()));
else
return 0.5 * (cxx() + cyy());
}
T phierr(const GlobalPoint& aPoint) const {
T r2 = aPoint.perp2();
T x2 = aPoint.x() * aPoint.x();
T y2 = aPoint.y() * aPoint.y();
T xy = aPoint.x() * aPoint.y();
if (r2 != 0)
return std::max<T>(0, (1. / (r2 * r2)) * (y2 * cxx() - 2. * xy * cyx() + x2 * cyy()));
else
return 0;
}
GlobalErrorBase operator+(const GlobalErrorBase& err) const {
return GlobalErrorBase(theCartesianError + err.theCartesianError);
}
GlobalErrorBase operator-(const GlobalErrorBase& err) const {
return GlobalErrorBase(theCartesianError - err.theCartesianError);
}
private:
AlgebraicSymMatrix44 theCartesianError;
};
#endif
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