#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 &)

void	linSigAnalyze (fMatrix_t &)

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 &, cfMatrix_t &)

void	normalizeEigen_m (cfMatrix_t &eigenVec, cfMatrix_t &invEigenVec)

Private Attributes
IpplTimings::TimerRef	mapAnalysis_m

IpplTimings::TimerRef	bunchAnalysis_m

Detailed Description

Definition at line 39 of file MapAnalyser.h.

Member Typedef Documentation

◆ cfMatrix_t

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

Definition at line 43 of file MapAnalyser.h.

◆ fMatrix_t

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

Definition at line 42 of file MapAnalyser.h.

Constructor & Destructor Documentation

◆ MapAnalyser()

MapAnalyser::MapAnalyser ( )

Definition at line 40 of file MapAnalyser.cpp.

Member Function Documentation

◆ complexTypeMatrix_m()

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

private

Definition at line 251 of file MapAnalyser.cpp.

◆ createRotMatrix_m()

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

private

Definition at line 207 of file MapAnalyser.cpp.

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

Referenced by printPhaseShift_m().

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◆ createSkewMatrix_m()

MapAnalyser::fMatrix_t MapAnalyser::createSkewMatrix_m ( )

private

Definition at line 220 of file MapAnalyser.cpp.

Referenced by printPhaseShift_m().

◆ eigenDecomp_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 46 of file MapAnalyser.cpp.

Referenced by setNMatrix_m().

◆ getBlockDiagonal_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

M	Matrix to analyze
eigenVec	EigenVectors of \(\mathbf{M}\)
invEigenVec	inverted EigenVectors of \(\mathbf{M}\)

Definition at line 101 of file MapAnalyser.cpp.

References sqrt().

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◆ imagPartOfMatrix_m()

MapAnalyser::fMatrix_t MapAnalyser::imagPartOfMatrix_m ( cfMatrix_t cM )

private

Definition at line 241 of file MapAnalyser.cpp.

◆ invertMatrix_m()

MapAnalyser::cfMatrix_t MapAnalyser::invertMatrix_m ( const cfMatrix_t & M )

private

Definition at line 261 of file MapAnalyser.cpp.

References endl(), imag(), and real().

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◆ linSigAnalyze()

void MapAnalyser::linSigAnalyze ( fMatrix_t & )

inline

Analyzes the transfer matrix

@ param sigMatrix Sigma Matrix

Definition at line 60 of file MapAnalyser.h.

◆ linTAnalyze()

void MapAnalyser::linTAnalyze ( const fMatrix_t & )

inline

Analyzes the transfer matrix for tunes, symplecticity and stability

Parameters

tMatrix Transfer matrix

Definition at line 52 of file MapAnalyser.h.

◆ normalizeEigen_m()

void MapAnalyser::normalizeEigen_m	(	cfMatrix_t &	eigenVec,
		cfMatrix_t &	invEigenVec
	)

private

Definition at line 321 of file MapAnalyser.cpp.

References abs(), interpolation::conj(), Physics::e, imag(), and sqrt().

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◆ printPhaseShift_m()

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

private

:TODO: WIP Prints phase shift

Parameters

Sigma	Sigma Matirx
tM	Transfer Matirx
oldN	\(\mathbf{N}\) matrix

Definition at line 136 of file MapAnalyser.cpp.

References atan(), createRotMatrix_m(), createSkewMatrix_m(), real(), and setNMatrix_m().

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◆ realPartOfMatrix_m()

MapAnalyser::fMatrix_t MapAnalyser::realPartOfMatrix_m ( cfMatrix_t cM )

private

Definition at line 231 of file MapAnalyser.cpp.

◆ rearrangeEigen_m()

void MapAnalyser::rearrangeEigen_m	(	cfMatrix_t &	,
		cfMatrix_t &
	)

inlineprivate

Definition at line 135 of file MapAnalyser.h.

◆ setNMatrix_m()

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

private

sets a symplectic \( \mathbf{N} \) matrix.
This function is a subfunction of ThickTracker::getBlockDiagonal. [Wolski_2005]

Parameters

M	Matrix to analyze
N	symplectic \(\mathbf{N}\) matrix
invN	inverted symplectic \(\mathbf{N}^{-1}\) matrix

Definition at line 168 of file MapAnalyser.cpp.

References eigenDecomp_m(), and sqrt().

Referenced by printPhaseShift_m().

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Member Data Documentation

◆ bunchAnalysis_m

IpplTimings::TimerRef MapAnalyser::bunchAnalysis_m

private

Definition at line 141 of file MapAnalyser.h.

◆ mapAnalysis_m

IpplTimings::TimerRef MapAnalyser::mapAnalysis_m

private

Definition at line 140 of file MapAnalyser.h.

The documentation for this class was generated from the following files:

/Users/gsell/src/OPAL/src/src/Algorithms/MapAnalyser.h
/Users/gsell/src/OPAL/src/src/Algorithms/MapAnalyser.cpp

Public Types

Public Member Functions

Private Member Functions

Private Attributes

Detailed Description

Member Typedef Documentation

◆ cfMatrix_t

◆ fMatrix_t

Constructor & Destructor Documentation

◆ MapAnalyser()

Member Function Documentation

◆ complexTypeMatrix_m()

◆ createRotMatrix_m()

◆ createSkewMatrix_m()

◆ eigenDecomp_m()

◆ getBlockDiagonal_m()

◆ imagPartOfMatrix_m()

◆ invertMatrix_m()

◆ linSigAnalyze()

◆ linTAnalyze()

◆ normalizeEigen_m()

◆ printPhaseShift_m()

◆ realPartOfMatrix_m()

◆ rearrangeEigen_m()

◆ setNMatrix_m()

Member Data Documentation

◆ bunchAnalysis_m

◆ mapAnalysis_m