#include <MapAnalyser.h>

Public Types
typedef FMatrix< double, 6, 6 >	fMatrix_t

typedef FMatrix< std::complex < double >, 6, 6 >	cfMatrix_t

Public Member Functions
	MapAnalyser ()

void	linTAnalyze (const fMatrix_t &tMatrix)

void	linSigAnalyze (fMatrix_t &sigMatrix)

Private Member Functions
void	eigenDecomp_m (const fMatrix_t &M, cfMatrix_t &eigenVal, cfMatrix_t &eigenVec, cfMatrix_t &invEigenVec)

cfMatrix_t	getBlockDiagonal_m (const fMatrix_t &M, cfMatrix_t &eigenVecM, cfMatrix_t &invEigenVecM)

void	printPhaseShift_m (fMatrix_t &Sigma, fMatrix_t tM, cfMatrix_t &oldN)

void	setNMatrix_m (fMatrix_t &M, cfMatrix_t &N, cfMatrix_t &invN)

fMatrix_t	createRotMatrix_m (std::array< double, 3 > phi)

fMatrix_t	createSkewMatrix_m ()

fMatrix_t	realPartOfMatrix_m (cfMatrix_t cM)

fMatrix_t	imagPartOfMatrix_m (cfMatrix_t cM)

cfMatrix_t	complexTypeMatrix_m (fMatrix_t M)

cfMatrix_t	invertMatrix_m (const cfMatrix_t &M)

void	rearrangeEigen_m (cfMatrix_t &EigenVal, cfMatrix_t &EigenVec)

Private Attributes
IpplTimings::TimerRef	mapAnalysis_m

IpplTimings::TimerRef	bunchAnalysis_m

Detailed Description

Definition at line 11 of file MapAnalyser.h.

Member Typedef Documentation

typedef FMatrix<std::complex<double>, 6, 6> MapAnalyser::cfMatrix_t

Definition at line 15 of file MapAnalyser.h.

typedef FMatrix<double, 6, 6> MapAnalyser::fMatrix_t

Definition at line 14 of file MapAnalyser.h.

Constructor & Destructor Documentation

MapAnalyser::MapAnalyser ( )

Definition at line 30 of file MapAnalyser.cpp.

Member Function Documentation

MapAnalyser::cfMatrix_t MapAnalyser::complexTypeMatrix_m ( fMatrix_t M )

private

Definition at line 446 of file MapAnalyser.cpp.

Referenced by linTAnalyze().

MapAnalyser::fMatrix_t MapAnalyser::createRotMatrix_m ( std::array< double, 3 > phi )

private

Definition at line 402 of file MapAnalyser.cpp.

References cos(), Attrib::Distribution::R, and sin().

Referenced by printPhaseShift_m().

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MapAnalyser::fMatrix_t MapAnalyser::createSkewMatrix_m ( )

private

Definition at line 415 of file MapAnalyser.cpp.

Referenced by linTAnalyze(), and printPhaseShift_m().

void MapAnalyser::eigenDecomp_m	(	const fMatrix_t &	M,
		cfMatrix_t &	eigenVal,
		cfMatrix_t &	eigenVec,
		cfMatrix_t &	invEigenVec
	)

private

Eigen-decomposition of M

\[ \mathbf{M} = \mathbf{E} \mathbf{\Lambda} \mathbf{E}^{-1} \]

Parameters

M	Matrix to analyze
eigenVal	EigenValues of \(\mathbf{M}\) \(\mathbf{\Lambda}\)
eigenVec	EigenVectors of \(\mathbf{M}\) \(\mathbf{E}\)
invEigenVec	inverted EigenVectors of \(\mathbf{M}\) \(\mathbf{E}^{-1}\)

Definition at line 234 of file MapAnalyser.cpp.

Referenced by linSigAnalyze(), linTAnalyze(), and setNMatrix_m().

MapAnalyser::cfMatrix_t MapAnalyser::getBlockDiagonal_m	(	const fMatrix_t &	M,
		cfMatrix_t &	eigenVecM,
		cfMatrix_t &	invEigenVecM
	)

private

Returns the block diagonal form rotation matrix \( \mathbf{R}\).
This Matrix gets created by applying a symplectic and its inverse Matrix \(U\) on M \( \mathbf{R} = \mathbf{UMU}^{-1}\) [Wolski_2005]

\[ \mathbf{R}_{\left( \mu_x,\mu_y, \mu_z \right)}= \begin{pmatrix} \mathbf{R}_{2\left( \mu_x\right)} & 0 &0 \\ 0 & \mathbf{R}_{2\left( \mu_y\right)} &0 \\ 0 & 0 &\mathbf{R}_{2\left( \mu_z\right)} \end{pmatrix} , \qquad \mathbf{R_2}_{\left( \alpha \right)}= \begin{pmatrix} \cos\left( \alpha \right) & \sin\left( \alpha \right)\\ -\sin\left( \alpha \right) & \cos\left( \alpha \right)\\ \end{pmatrix} \]

Parameters