Tools.h File Reference

#include <TVectorD.h>
#include <TMatrixD.h>
#include <TMatrixDSym.h>

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Namespaces
namespace	genfit
	Defines for I/O streams used for error and debug printing.
namespace	genfit::tools

Functions
void	genfit::tools::invertMatrix (const TMatrixDSym &mat, TMatrixDSym &inv, double *determinant=nullptr)
	Invert a matrix, throwing an Exception when inversion fails. Optional calculation of determinant.
void	genfit::tools::invertMatrix (TMatrixDSym &mat, double *determinant=nullptr)
	Same, replacing its argument.
bool	genfit::tools::transposedForwardSubstitution (const TMatrixD &R, TVectorD &b)
	Solves R^t x = b, replacing b with the solution for x. R is assumed to be upper diagonal.
bool	genfit::tools::transposedForwardSubstitution (const TMatrixD &R, TMatrixD &b, int nCol)
	Same, for a column of the matrix b.
bool	genfit::tools::transposedInvert (const TMatrixD &R, TMatrixD &inv)
	Inverts the transpose of the upper right matrix R into inv.
void	genfit::tools::QR (TMatrixD &A)
	Replaces A with an upper right matrix connected to A by an orthongonal transformation. I.e., it computes R from a QR decomposition of A = QR, replacing A.
void	genfit::tools::QR (TMatrixD &A, TVectorD &b)
	Replaces A with an upper right matrix connected to A by an orthongonal transformation. I.e., it computes R from a QR decomposition of A = QR, replacing A. Also replaces b by Q'b where Q' is the transposed of Q.
void	genfit::tools::noiseMatrixSqrt (const TMatrixDSym &noise, TMatrixD &noiseSqrt)
	Calculate a sqrt for the positive semidefinite noise matrix. Rows corresponding to zero eigenvalues are omitted. This gives the transposed of the square root, i.e. noise = noiseSqrt * noiseSqrt'.
void	genfit::tools::kalmanPredictionCovSqrt (const TMatrixD &S, const TMatrixD &F, const TMatrixD &Q, TMatrixD &Snew)
	Calculates the square root of the covariance matrix after the Kalman prediction (i.e. extrapolation) with transport matrix F and the noise square root Q. Gives the new covariance square root.
void	genfit::tools::kalmanUpdateSqrt (const TMatrixD &S, const TVectorD &res, const TMatrixD &R, const AbsHMatrix *H, TVectorD &update, TMatrixD &SNew)
	Calculate the Kalman measurement update with no transport. x, S : state prediction, covariance square root res, R, H : residual, measurement covariance square root, H matrix of the measurement.