This class defines a map which describes a family of globally coupled logistic maps. More...

#include <m_globclog.h>

Inheritance diagram for MapGlobCLog:

Public Member Functions
	MapGlobCLog ()
	The default constructor. More...

	~MapGlobCLog ()
	The destructor. More...

void	compute (const double xleft, const double xright, double yleft, double yright, int dim, const spcCoord *coord, int subdiv) const
	Computes the image of a box whose left and right coordinates are given. More...

Public Member Functions inherited from MapType
	MapType ()
	The default constructor of an object which describes a map. More...

virtual	~MapType ()
	The destructor of an object which describe a map. More...

virtual void	setParam (const double left, const double right, int n)
	Sets the parameters to the given intervals defined by their left and right coordinates. More...

const double &	getLeftParam (int n) const
	Returns the left value of the given parameter. More...

const double &	getRightParam (int n) const
	Returns the right value of the given parameter. More...

virtual void	compute (const double xleft, const double xright, double yleft, double yright, int dim, const spcCoord *coord, int subdiv) const =0
	Computes the image of a box whose left and right coordinates are given. More...

void	operator() (const IntervalType x, IntervalType y, int dim, const spcCoord *coord, int subdiv) const
	An interface to the function 'compute' based on intervals. More...

bool	adjust (bool successful, int subdiv)
	Adjusts parameters if necessary after a successful computation or after an unsuccessful computation of the graph of the map at a specific subdivision level. More...

std::string	getOptInfo () const
	Gets a single line of information on optimization of the computation of the map, so that it can be used by maps created for the same and nearby parameter values. More...

void	useOptInfo (const std::string &info)
	Uses a prevously saved line of information on optimization of the computation of the map for the same or nearby parameter values. More...

void	saveInternals (chomp::multiwork::mwData &data) const
	Saves the internal parameters and other data of the map to the mwData structure. More...

void	loadInternals (chomp::multiwork::mwData &data)
	Retrieves the internal paramters and other data of the map from the mwData structure. More...

virtual double	getTimeStep (int subdiv) const
	Returns the time step, which is 1 for a map, or the time t of integration in case of a time-t map of a flow. More...

virtual std::string	name () const
	Returns the name of the map. More...

Private Member Functions
void	setDimension (int dim) const
	Sets the space dimension and (re-)allocates memory for the sigma coefficients and variables. More...

IntervalType *	changeCoordsIn (IntervalType input, IntervalType output, int dim) const
	Applies a coordinate change to the input vector. More...

IntervalType *	changeCoordsOut (IntervalType input, IntervalType output, int dim) const
	Applies a coordinate change to the output vector. More...

Static Private Member Functions
static IntervalType	logistic (const IntervalType &x, const IntervalType &a)
	The logistic function f_a (x) = 1 - a x^2. More...

Private Attributes
int *	sigma
	The extra weights for the maps (for the weighted 2GCM). More...

int	sigmaSum
	The sum of the sigmas. More...

IntervalType *	variables
	A temporary array for the variables. More...

int	currentDim
	The dimension for which the internal arrays have been allocated. More...

double	rescaling
	Rescaling factor for the changed coordinates. More...

Static Private Attributes
static const bool	weighted2GCM = true
	Configuration option: Is this the weighted 2GCM model? More...

static const bool	changeCoordinates = false
	Configuration option: Should we change the first two coordinates? More...

Detailed Description

This class defines a map which describes a family of globally coupled logistic maps.

There are only two parameters of this map: 'a' and 'epsilon'. Warning: This class is not thread-safe!

Definition at line 53 of file m_globclog.h.

Constructor & Destructor Documentation

◆ MapGlobCLog()

MapGlobCLog::MapGlobCLog ( )

inline

The default constructor.

Definition at line 111 of file m_globclog.h.

References testIntervals().

◆ ~MapGlobCLog()

MapGlobCLog::~MapGlobCLog ( )

inline

The destructor.

Definition at line 119 of file m_globclog.h.

References sigma, and variables.

Member Function Documentation

◆ changeCoordsIn()

IntervalType * MapGlobCLog::changeCoordsIn	(	IntervalType *	input,
		IntervalType *	output,
		int	dim
	)		const

inlineprivate

Applies a coordinate change to the input vector.

Definition at line 158 of file m_globclog.h.

References changeCoordinates, and rescaling.

Referenced by compute().

◆ changeCoordsOut()

IntervalType * MapGlobCLog::changeCoordsOut	(	IntervalType *	input,
		IntervalType *	output,
		int	dim
	)		const

inlineprivate

Applies a coordinate change to the output vector.

Definition at line 170 of file m_globclog.h.

References changeCoordinates, and rescaling.

Referenced by compute().

◆ compute()

void MapGlobCLog::compute	(	const double *	xleft,
		const double *	xright,
		double *	yleft,
		double *	yright,
		int	dim,
		const spcCoord *	coord,
		int	subdiv
	)		const

inlinevirtual

Computes the image of a box whose left and right coordinates are given.

Fills in the images with the left and right coordinates of the image box.

Implements MapType.

Definition at line 182 of file m_globclog.h.

References changeCoordsIn(), changeCoordsOut(), MapType::getLeftParam(), MapType::getRightParam(), logistic(), resetRounding(), setDimension(), sigma, sigmaSum, and variables.

◆ logistic()

IntervalType MapGlobCLog::logistic	(	const IntervalType &	x,
		const IntervalType &	a
	)

inlinestaticprivate

The logistic function f_a (x) = 1 - a x^2.

Definition at line 130 of file m_globclog.h.

Referenced by compute().

◆ setDimension()

void MapGlobCLog::setDimension ( int dim ) const

inlineprivate

Sets the space dimension and (re-)allocates memory for the sigma coefficients and variables.

Definition at line 136 of file m_globclog.h.

References currentDim, sigma, sigmaSum, variables, and weighted2GCM.

Referenced by compute().

Member Data Documentation

◆ changeCoordinates

const bool MapGlobCLog::changeCoordinates = false

staticprivate

Configuration option: Should we change the first two coordinates?

Definition at line 74 of file m_globclog.h.

Referenced by changeCoordsIn(), and changeCoordsOut().

◆ currentDim

int MapGlobCLog::currentDim

mutableprivate

The dimension for which the internal arrays have been allocated.

Definition at line 86 of file m_globclog.h.

Referenced by setDimension().

◆ rescaling

double MapGlobCLog::rescaling

private

Rescaling factor for the changed coordinates.

Definition at line 89 of file m_globclog.h.

Referenced by changeCoordsIn(), and changeCoordsOut().

◆ sigma

int* MapGlobCLog::sigma

mutableprivate

The extra weights for the maps (for the weighted 2GCM).

Definition at line 77 of file m_globclog.h.

Referenced by compute(), setDimension(), and ~MapGlobCLog().

◆ sigmaSum

int MapGlobCLog::sigmaSum

mutableprivate

The sum of the sigmas.

Definition at line 80 of file m_globclog.h.

Referenced by compute(), and setDimension().

◆ variables

IntervalType* MapGlobCLog::variables

mutableprivate

A temporary array for the variables.

Definition at line 83 of file m_globclog.h.

Referenced by compute(), setDimension(), and ~MapGlobCLog().

◆ weighted2GCM

const bool MapGlobCLog::weighted2GCM = true

staticprivate

Configuration option: Is this the weighted 2GCM model?

Definition at line 71 of file m_globclog.h.

Referenced by setDimension().

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

m_globclog.h

Public Member Functions

Private Member Functions

Static Private Member Functions

Private Attributes

Static Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ MapGlobCLog()

◆ ~MapGlobCLog()

Member Function Documentation

◆ changeCoordsIn()

◆ changeCoordsOut()

◆ compute()

◆ logistic()

◆ setDimension()

Member Data Documentation

◆ changeCoordinates

◆ currentDim

◆ rescaling

◆ sigma

◆ sigmaSum

◆ variables

◆ weighted2GCM