#include <SigmaGenerator.h>

Collaboration diagram for SigmaGenerator:

Public Types
typedef RealDiracMatrix::matrix_t	matrix_t
	Type for storing maps. More...

typedef RealDiracMatrix::sparse_matrix_t	sparse_matrix_t
	Type for storing the sparse maps. More...

typedef RealDiracMatrix::vector_t	vector_t
	Type for storing vectors. More...

typedef std::vector< double >	container_t
	Container for storing the properties for each angle. More...

typedef FTps< double, 2 *3 >	Series
	Type of the truncated power series. More...

typedef FVps< double, 2 *3 >	Map
	Type of a map. More...

typedef std::function< Series(double, double, double)>	Hamiltonian
	Type of the Hamiltonian for the cyclotron. More...

typedef std::function< Series(double, double, double)>	SpaceCharge
	Type of the Hamiltonian for the space charge. More...

Public Member Functions
	SigmaGenerator (double I, double ex, double ey, double ez, double E, double m, double q, const Cyclotron *cycl, unsigned int N, unsigned int Nsectors, unsigned int truncOrder, bool write=true)
	Constructs an object of type SigmaGenerator. More...

bool	match (double accuracy, unsigned int maxit, unsigned int maxitOrbit, Cyclotron *cycl, double denergy, double rguess, bool full)
	Searches for a matched distribution. More...

vector_t	decouple (const matrix_t &Mturn, sparse_matrix_t &R, sparse_matrix_t &invR)
	Block diagonalizes the symplex part of the one turn transfer matrix. More...

double	isEigenEllipse (const matrix_t &Mturn, const matrix_t &sigma)
	Checks if the sigma-matrix is an eigenellipse and returns the L2 error. More...

matrix_t &	getSigma ()
	Returns the converged stationary distribution. More...

unsigned int	getIterations () const
	Returns the number of iterations needed for convergence (if not converged, it returns zero) More...

double	getError () const
	Returns the error (if the program didn't converged, one can call this function to check the error) More...

std::array< double, 3 >	getEmittances () const

const double &	getInjectionRadius () const

const double &	getInjectionMomentum () const

Private Member Functions
void	initialize (double, double)

matrix_t	updateInitialSigma (const matrix_t &, const vector_t &, sparse_matrix_t &, sparse_matrix_t &)
	Computes the new initial sigma matrix. More...

void	updateSigma (const std::vector< matrix_t > &, const std::vector< matrix_t > &)
	Computes new sigma matrices (one for each angle) More...

double	L2ErrorNorm (const matrix_t &, const matrix_t &)
	Returns the L2-error norm between the old and new sigma-matrix. More...

std::string	float2string (double val)
	Transforms a floating point value to a string. More...

void	writeOrbitOutput_m (const container_t &r_turn, const container_t &peo, const container_t &h_turn, const container_t &fidx_turn, const container_t &ds_turn)
	Called within SigmaGenerator::match(). More...

void	writeMatrix (std::ofstream &, const matrix_t &)

template<class matrix >
void	reduce (matrix &)

template<class matrix >
void	expand (matrix &)

Private Attributes
double	I_m
	Stores the value of the current, \( \left[I\right] = A \). More...

std::array< double, 3 >	emittance_m

double	wo_m
	Is the orbital frequency, \( \left[\omega_{o}\right] = \frac{1}{s} \). More...

double	E_m
	Stores the user-define energy, \( \left[E\right] = MeV \). More...

double	gamma_m

double	gamma2_m
	Relativistic factor squared. More...

double	nh_m
	Harmonic number, \( \left[N_{h}\right] = 1 \). More...

double	beta_m
	Velocity (c/v), \( \left[\beta\right] = 1 \). More...

double	m_m
	Is the mass of the particles, \( \left[m\right] = \frac{MeV}{c^{2}} \). More...

double	q_m
	Is the particle charge [e]. More...

unsigned int	niterations_m
	Is the number of iterations needed for convergence. More...

bool	converged_m
	Is true if converged, false otherwise. More...

double	Emin_m
	Minimum energy needed in cyclotron, \( \left[E_{min}\right] = MeV \). More...

double	Emax_m
	Maximum energy reached in cyclotron, \( \left[E_{max}\right] = MeV \). More...

unsigned int	N_m
	Number of integration steps for closed orbit computation. More...

unsigned int	nSectors_m
	Number of (symmetric) sectors the field is averaged over. More...

unsigned int	nStepsPerSector_m
	Number of integration steps per sector (--> also: number of maps per sector) More...

unsigned int	nSteps_m
	Number of integration steps in total. More...

double	error_m
	Error of computation. More...

unsigned int	truncOrder_m
	Truncation order of the power series for the Hamiltonian (cyclotron and space charge) More...

bool	write_m
	Decides for writing output (default: true) More...

matrix_t	sigma_m
	Stores the stationary distribution (sigma matrix) More...

std::vector< matrix_t >	sigmas_m
	Vector storing the second moment matrix for each angle. More...

Hamiltonian	H_m
	Stores the Hamiltonian of the cyclotron. More...

SpaceCharge	Hsc_m
	Stores the Hamiltonian for the space charge. More...

Series	x_m
	All variables x, px, z, pz, l, delta. More...

Series	px_m

Series	z_m

Series	pz_m

Series	l_m

Series	delta_m

double	rinit_m

double	prinit_m

RealDiracMatrix	rdm_m
	RealDiracMatrix-class member used for decoupling More...

Detailed Description

Definition at line 50 of file SigmaGenerator.h.

Member Typedef Documentation

◆ container_t

typedef std::vector<double> SigmaGenerator::container_t

Container for storing the properties for each angle.

Definition at line 60 of file SigmaGenerator.h.

◆ Hamiltonian

typedef std::function<Series(double,double,double)> SigmaGenerator::Hamiltonian

Type of the Hamiltonian for the cyclotron.

Definition at line 66 of file SigmaGenerator.h.

◆ Map

typedef FVps<double,2*3> SigmaGenerator::Map

Type of a map.

Definition at line 64 of file SigmaGenerator.h.

◆ matrix_t

typedef RealDiracMatrix::matrix_t SigmaGenerator::matrix_t

Type for storing maps.

Definition at line 54 of file SigmaGenerator.h.

◆ Series

typedef FTps<double,2*3> SigmaGenerator::Series

Type of the truncated power series.

Definition at line 62 of file SigmaGenerator.h.

◆ SpaceCharge

typedef std::function<Series(double,double,double)> SigmaGenerator::SpaceCharge

Type of the Hamiltonian for the space charge.

Definition at line 68 of file SigmaGenerator.h.

◆ sparse_matrix_t

typedef RealDiracMatrix::sparse_matrix_t SigmaGenerator::sparse_matrix_t

Type for storing the sparse maps.

Definition at line 56 of file SigmaGenerator.h.

◆ vector_t

typedef RealDiracMatrix::vector_t SigmaGenerator::vector_t

Type for storing vectors.

Definition at line 58 of file SigmaGenerator.h.

Constructor & Destructor Documentation

◆ SigmaGenerator()

SigmaGenerator::SigmaGenerator	(	double	I,
		double	ex,
		double	ey,
		double	ez,
		double	E,
		double	m,
		double	q,
		const Cyclotron *	cycl,
		unsigned int	N,
		unsigned int	Nsectors,
		unsigned int	truncOrder,
		bool	write = `true`
	)

Constructs an object of type SigmaGenerator.

Parameters

I	specifies the current for which a matched distribution should be found, \( [I] = A \)
ex	is the emittance in x-direction (horizontal), \( \left[\varepsilon_{x}\right] = \pi\ mm\ mrad \)
ey	is the emittance in y-direction (longitudinal), \( \left[\varepsilon_{y}\right] = \pi\ mm\ mrad \)
ez	is the emittance in z-direction (vertical), \( \left[\varepsilon_{z}\right] = \pi\ mm\ mrad \)
E	is the energy, \( \left[E\right] = MeV \)
m	is the mass of the particles \( \left[m\right] = \frac{MeV}{c^{2}} \)
q	is the particle charge [e]
cycl	is the cyclotron element
N	is the number of integration steps (closed orbit computation). That's why its also the number of maps (for each integration step a map)
Nsectors	is the number of sectors that the field map is averaged over (closed orbit computation)
truncOrder	is the truncation order for power series of the Hamiltonian
write	is a boolean (default: true). If true all maps of all iterations are stored, otherwise not.

Definition at line 55 of file SigmaGenerator.cpp.

References abs(), beta_m, Physics::c, delta_m, Emin_m, emittance_m, Physics::epsilon_0, gamma2_m, gamma_m, Util::getBetaGamma(), H_m, Hsc_m, I_m, l_m, m_m, FTps< double, 2 *3 >::makeVariable(), nh_m, Physics::pi, px_m, pz_m, q_m, FTps< double, 2 *3 >::setGlobalTruncOrder(), sqrt(), truncOrder_m, Physics::two_pi, wo_m, x_m, and z_m.

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Member Function Documentation

◆ decouple()

SigmaGenerator::vector_t SigmaGenerator::decouple	(	const matrix_t &	Mturn,
		sparse_matrix_t &	R,
		sparse_matrix_t &	invR
	)

Block diagonalizes the symplex part of the one turn transfer matrix.

It computes the transformation matrix R and its inverse invR.

Parameters

Mturn	is a 6x6 dimensional one turn transfer matrix
R	is the 6x6 dimensional transformation matrix (gets computed)
invR	is the 6x6 dimensional inverse transformation (gets computed)

Definition at line 411 of file SigmaGenerator.cpp.

References RealDiracMatrix::diagonalize(), Attrib::Distribution::R, rdm_m, and RealDiracMatrix::symplex().

Referenced by match().

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◆ expand()

template<class matrix >

void SigmaGenerator::expand ( matrix & M )

private

Definition at line 352 of file SigmaGenerator.h.

◆ float2string()

std::string SigmaGenerator::float2string ( double val )

private

Transforms a floating point value to a string.

Parameters

val	is the floating point value which is transformed to a string

Definition at line 815 of file SigmaGenerator.cpp.

Referenced by initialize(), match(), updateInitialSigma(), updateSigma(), and writeOrbitOutput_m().

◆ getEmittances()

std::array< double, 3 > SigmaGenerator::getEmittances ( ) const

inline

Returns the emittances (ex,ey,ez) in \( \pi\ mm\ mrad \) for which the code converged (since the whole simulation is done on normalized emittances)

Definition at line 307 of file SigmaGenerator.h.

References beta_m, emittance_m, gamma_m, and Physics::pi.

Referenced by match().

◆ getError()

double SigmaGenerator::getError ( ) const

inline

Returns the error (if the program didn't converged, one can call this function to check the error)

Definition at line 300 of file SigmaGenerator.h.

References error_m.

◆ getInjectionMomentum()

const double& SigmaGenerator::getInjectionMomentum ( ) const

inline

Definition at line 141 of file SigmaGenerator.h.

References prinit_m.

◆ getInjectionRadius()

const double& SigmaGenerator::getInjectionRadius ( ) const

inline

Definition at line 137 of file SigmaGenerator.h.

References rinit_m.

◆ getIterations()

unsigned int SigmaGenerator::getIterations ( ) const

inline

Returns the number of iterations needed for convergence (if not converged, it returns zero)

Definition at line 293 of file SigmaGenerator.h.

References converged_m, and niterations_m.

◆ getSigma()

SigmaGenerator::matrix_t & SigmaGenerator::getSigma ( )

inline

Returns the converged stationary distribution.

Definition at line 286 of file SigmaGenerator.h.

References sigma_m.

◆ initialize()

void SigmaGenerator::initialize	(	double	nuz,
		double	ravg
	)

private

Initializes a first guess of the sigma matrix with the assumption of a spherical symmetric beam (ex = ey = ez). For each angle split the same initial guess is taken.

Parameters

nuz	is the vertical tune
ravg	is the average radius of the closed orbit

Definition at line 460 of file SigmaGenerator.cpp.

References a, abs(), Physics::alpha, beta_m, Physics::c, Util::combineFilePath(), Physics::e, E_m, emittance_m, Physics::epsilon_0, float2string(), gamma2_m, gamma_m, OpalData::getAuxiliaryOutputDirectory(), OpalData::getInstance(), I_m, m_m, Physics::mu_0, nh_m, nSteps_m, Physics::pi, q_m, sigmas_m, sqrt(), Physics::two_pi, wo_m, write_m, and writeMatrix().

Referenced by match().

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◆ isEigenEllipse()

double SigmaGenerator::isEigenEllipse	(	const matrix_t &	Mturn,
		const matrix_t &	sigma
	)

Checks if the sigma-matrix is an eigenellipse and returns the L2 error.

The idea of this function is taken from Dr. Christian Baumgarten's program.

Parameters

Mturn	is the one turn transfer matrix
sigma	is the sigma matrix to be tested

Definition at line 447 of file SigmaGenerator.cpp.

References L2ErrorNorm().

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◆ L2ErrorNorm()

double SigmaGenerator::L2ErrorNorm	(	const matrix_t &	oldS,
		const matrix_t &	newS
	)

private

Returns the L2-error norm between the old and new sigma-matrix.

Parameters

oldS	is the old sigma matrix
newS	is the new sigma matrix

Definition at line 801 of file SigmaGenerator.cpp.

References sqrt().

Referenced by isEigenEllipse(), and match().

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◆ match()

bool SigmaGenerator::match	(	double	accuracy,
		unsigned int	maxit,
		unsigned int	maxitOrbit,
		Cyclotron *	cycl,
		double	denergy,
		double	rguess,
		bool	full
	)

Searches for a matched distribution.

Returns "true" if a matched distribution within the accuracy could be found, returns "false" otherwise.

Parameters

accuracy	is used for computing the equilibrium orbit (to a certain accuracy)
maxit	is the maximum number of iterations (the program stops if within this value no stationary distribution was found)
maxitOrbit	is the maximum number of iterations for finding closed orbit
angle	defines the start of the sector (one can choose any angle between 0° and 360°)
denergy	energy step size for closed orbit finder [MeV]
rguess	value of radius for closed orbit finder
type	specifies the magnetic field format (e.g. CARBONCYCL)
full	match over full turn not just single sector

Definition at line 156 of file SigmaGenerator.cpp.

References Util::combineFilePath(), converged_m, decouple(), Physics::e, E_m, endl(), error_m, float2string(), OpalData::getAuxiliaryOutputDirectory(), getEmittances(), OpalData::getInstance(), Cyclotron::getPHIinit(), gmsg, H_m, Hsc_m, initialize(), L2ErrorNorm(), m_m, N_m, niterations_m, nSectors_m, nSteps_m, nStepsPerSector_m, prinit_m, q_m, Attrib::Distribution::R, rinit_m, sigma_m, sigmas_m, truncOrder_m, updateInitialSigma(), updateSigma(), write_m, writeMatrix(), and writeOrbitOutput_m().

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◆ reduce()

template<class matrix >

void SigmaGenerator::reduce ( matrix & M )

private

Definition at line 319 of file SigmaGenerator.h.

◆ updateInitialSigma()

SigmaGenerator::matrix_t SigmaGenerator::updateInitialSigma	(	const matrix_t &	M,
		const vector_t &	eigen,
		sparse_matrix_t &	R,
		sparse_matrix_t &	invR
	)

private

Computes the new initial sigma matrix.

Parameters

M	is the 6x6 one turn transfer matrix
R	is the transformation matrix
invR	is the inverse transformation matrix

Definition at line 619 of file SigmaGenerator.cpp.

References beta_m, Util::combineFilePath(), E_m, emittance_m, fabs(), float2string(), gamma_m, OpalData::getAuxiliaryOutputDirectory(), OpalData::getInstance(), prod(), Attrib::Distribution::R, sign(), sqrt(), write_m, and writeMatrix().

Referenced by match().

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◆ updateSigma()

void SigmaGenerator::updateSigma	(	const std::vector< matrix_t > &	Mscs,
		const std::vector< matrix_t > &	Mcycs
	)

private

Computes new sigma matrices (one for each angle)

Mscs is a vector of all space charge maps Mcycs is a vector of all cyclotron maps

Definition at line 763 of file SigmaGenerator.cpp.

References Util::combineFilePath(), E_m, float2string(), OpalData::getAuxiliaryOutputDirectory(), OpalData::getInstance(), niterations_m, nSteps_m, prod(), sigmas_m, write_m, and writeMatrix().

Referenced by match().

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◆ writeMatrix()

void SigmaGenerator::writeMatrix	(	std::ofstream &	os,
		const matrix_t &	m
	)

private

Definition at line 859 of file SigmaGenerator.cpp.

References endl(), and write_m.

Referenced by initialize(), match(), updateInitialSigma(), and updateSigma().

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◆ writeOrbitOutput_m()

void SigmaGenerator::writeOrbitOutput_m	(	const container_t &	r_turn,
		const container_t &	peo,
		const container_t &	h_turn,
		const container_t &	fidx_turn,
		const container_t &	ds_turn
	)

private

Called within SigmaGenerator::match().

Parameters

r_turn	is the radius [m]
peo	is the momentum
h_turn	is the inverse bending radius
fidx_turn	is the field index
ds_turn	is the path length element

Definition at line 822 of file SigmaGenerator.cpp.

References Util::combineFilePath(), E_m, endl(), float2string(), OpalData::getAuxiliaryOutputDirectory(), OpalData::getInstance(), and write_m.

Referenced by match().

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Member Data Documentation

◆ beta_m

double SigmaGenerator::beta_m

private

Velocity (c/v), \( \left[\beta\right] = 1 \).

Definition at line 165 of file SigmaGenerator.h.

Referenced by getEmittances(), initialize(), SigmaGenerator(), and updateInitialSigma().

◆ converged_m

bool SigmaGenerator::converged_m

private

Is true if converged, false otherwise.

Definition at line 173 of file SigmaGenerator.h.

Referenced by getIterations(), and match().

◆ delta_m

Series SigmaGenerator::delta_m

private

Definition at line 210 of file SigmaGenerator.h.

Referenced by SigmaGenerator().

◆ E_m

double SigmaGenerator::E_m

private

Stores the user-define energy, \( \left[E\right] = MeV \).

Definition at line 155 of file SigmaGenerator.h.

Referenced by initialize(), match(), updateInitialSigma(), updateSigma(), and writeOrbitOutput_m().

◆ Emax_m

double SigmaGenerator::Emax_m

private

Maximum energy reached in cyclotron, \( \left[E_{max}\right] = MeV \).

Definition at line 177 of file SigmaGenerator.h.

◆ Emin_m

double SigmaGenerator::Emin_m

private

Minimum energy needed in cyclotron, \( \left[E_{min}\right] = MeV \).

Definition at line 175 of file SigmaGenerator.h.

Referenced by SigmaGenerator().

◆ emittance_m

std::array<double,3> SigmaGenerator::emittance_m

private

Stores the desired emittances, \( \left[\varepsilon_{x}\right] = \left[\varepsilon_{y}\right] = \left[\varepsilon_{z}\right] = m \ rad \)

Definition at line 151 of file SigmaGenerator.h.

Referenced by getEmittances(), initialize(), SigmaGenerator(), and updateInitialSigma().

◆ error_m

double SigmaGenerator::error_m

private

Error of computation.

Definition at line 189 of file SigmaGenerator.h.

Referenced by getError(), and match().

◆ gamma2_m

double SigmaGenerator::gamma2_m

private

Relativistic factor squared.

Definition at line 161 of file SigmaGenerator.h.

Referenced by initialize(), and SigmaGenerator().

◆ gamma_m

double SigmaGenerator::gamma_m

private

Relativistic factor (which can be computed out ot the kinetic energy and rest mass (potential energy)), \( \left[\gamma\right] = 1 \)

Definition at line 159 of file SigmaGenerator.h.

Referenced by getEmittances(), initialize(), SigmaGenerator(), and updateInitialSigma().

◆ H_m

Hamiltonian SigmaGenerator::H_m

private

Stores the Hamiltonian of the cyclotron.

Definition at line 204 of file SigmaGenerator.h.

Referenced by match(), and SigmaGenerator().

◆ Hsc_m

SpaceCharge SigmaGenerator::Hsc_m

private

Stores the Hamiltonian for the space charge.

Definition at line 207 of file SigmaGenerator.h.

Referenced by match(), and SigmaGenerator().

◆ I_m

double SigmaGenerator::I_m

private

Stores the value of the current, \( \left[I\right] = A \).

Definition at line 147 of file SigmaGenerator.h.

Referenced by initialize(), and SigmaGenerator().

◆ l_m

Series SigmaGenerator::l_m

private

Definition at line 210 of file SigmaGenerator.h.

Referenced by SigmaGenerator().

◆ m_m

double SigmaGenerator::m_m

private

Is the mass of the particles, \( \left[m\right] = \frac{MeV}{c^{2}} \).

Definition at line 167 of file SigmaGenerator.h.

Referenced by initialize(), match(), and SigmaGenerator().

◆ N_m

unsigned int SigmaGenerator::N_m

private

Number of integration steps for closed orbit computation.

Definition at line 179 of file SigmaGenerator.h.

Referenced by match().

◆ nh_m

double SigmaGenerator::nh_m

private

Harmonic number, \( \left[N_{h}\right] = 1 \).

Definition at line 163 of file SigmaGenerator.h.

Referenced by initialize(), and SigmaGenerator().

◆ niterations_m

unsigned int SigmaGenerator::niterations_m

private

Is the number of iterations needed for convergence.

Definition at line 171 of file SigmaGenerator.h.

Referenced by getIterations(), match(), and updateSigma().

◆ nSectors_m

unsigned int SigmaGenerator::nSectors_m

private

Number of (symmetric) sectors the field is averaged over.

Definition at line 181 of file SigmaGenerator.h.

Referenced by match().

◆ nSteps_m

unsigned int SigmaGenerator::nSteps_m

private

Number of integration steps in total.

Definition at line 186 of file SigmaGenerator.h.

Referenced by initialize(), match(), and updateSigma().

◆ nStepsPerSector_m

unsigned int SigmaGenerator::nStepsPerSector_m

private

Number of integration steps per sector (--> also: number of maps per sector)

Definition at line 183 of file SigmaGenerator.h.

Referenced by match().

◆ prinit_m

double SigmaGenerator::prinit_m

private

Definition at line 213 of file SigmaGenerator.h.

Referenced by getInjectionMomentum(), and match().

◆ px_m

Series SigmaGenerator::px_m

private

Definition at line 210 of file SigmaGenerator.h.

Referenced by SigmaGenerator().

◆ pz_m

Series SigmaGenerator::pz_m

private

Definition at line 210 of file SigmaGenerator.h.

Referenced by SigmaGenerator().

◆ q_m

double SigmaGenerator::q_m

private

Is the particle charge [e].

Definition at line 169 of file SigmaGenerator.h.

Referenced by initialize(), match(), and SigmaGenerator().

◆ rdm_m

RealDiracMatrix SigmaGenerator::rdm_m

private

RealDiracMatrix-class member used for decoupling

Definition at line 273 of file SigmaGenerator.h.

Referenced by decouple().

◆ rinit_m

double SigmaGenerator::rinit_m

private

Definition at line 212 of file SigmaGenerator.h.

Referenced by getInjectionRadius(), and match().

◆ sigma_m

matrix_t SigmaGenerator::sigma_m

private

Stores the stationary distribution (sigma matrix)

Definition at line 198 of file SigmaGenerator.h.

Referenced by getSigma(), and match().

◆ sigmas_m

std::vector<matrix_t> SigmaGenerator::sigmas_m

private

Vector storing the second moment matrix for each angle.

Definition at line 201 of file SigmaGenerator.h.

Referenced by initialize(), match(), and updateSigma().

◆ truncOrder_m

unsigned int SigmaGenerator::truncOrder_m

private

Truncation order of the power series for the Hamiltonian (cyclotron and space charge)

Definition at line 192 of file SigmaGenerator.h.

Referenced by match(), and SigmaGenerator().

◆ wo_m

double SigmaGenerator::wo_m

private

Is the orbital frequency, \( \left[\omega_{o}\right] = \frac{1}{s} \).

Definition at line 153 of file SigmaGenerator.h.

Referenced by initialize(), and SigmaGenerator().

◆ write_m

bool SigmaGenerator::write_m

private

Decides for writing output (default: true)

Definition at line 195 of file SigmaGenerator.h.

Referenced by initialize(), match(), updateInitialSigma(), updateSigma(), writeMatrix(), and writeOrbitOutput_m().

◆ x_m

Series SigmaGenerator::x_m

private

All variables x, px, z, pz, l, delta.

Definition at line 210 of file SigmaGenerator.h.

Referenced by SigmaGenerator().

◆ z_m

Series SigmaGenerator::z_m

private

Definition at line 210 of file SigmaGenerator.h.

Referenced by SigmaGenerator().

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

/Users/gsell/src/OPAL/src/src/Distribution/SigmaGenerator.h
/Users/gsell/src/OPAL/src/src/Distribution/SigmaGenerator.cpp

Public Types

Public Member Functions

Private Member Functions

Private Attributes

Detailed Description

Member Typedef Documentation

◆ container_t

◆ Hamiltonian

◆ Map

◆ matrix_t

◆ Series

◆ SpaceCharge

◆ sparse_matrix_t

◆ vector_t

Constructor & Destructor Documentation

◆ SigmaGenerator()

Member Function Documentation

◆ decouple()

◆ expand()

◆ float2string()

◆ getEmittances()

◆ getError()

◆ getInjectionMomentum()

◆ getInjectionRadius()

◆ getIterations()

◆ getSigma()

◆ initialize()

◆ isEigenEllipse()

◆ L2ErrorNorm()

◆ match()

◆ reduce()

◆ updateInitialSigma()

◆ updateSigma()

◆ writeMatrix()

◆ writeOrbitOutput_m()

Member Data Documentation

◆ beta_m

◆ converged_m

◆ delta_m

◆ E_m

◆ Emax_m

◆ Emin_m

◆ emittance_m

◆ error_m

◆ gamma2_m

◆ gamma_m

◆ H_m

◆ Hsc_m

◆ I_m

◆ l_m

◆ m_m

◆ N_m

◆ nh_m

◆ niterations_m

◆ nSectors_m

◆ nSteps_m

◆ nStepsPerSector_m

◆ prinit_m

◆ px_m

◆ pz_m

◆ q_m

◆ rdm_m

◆ rinit_m

◆ sigma_m

◆ sigmas_m

◆ truncOrder_m

◆ wo_m

◆ write_m

◆ x_m

◆ z_m