highprecisionpso::DiagonalFunction Class Reference

This class implements the diagonal function, which represents a function with optimum at the origin and constant second derivative matrix. More...

#include <diagonal_function.h>

Inheritance diagram for highprecisionpso::DiagonalFunction:

Public Member Functions

 DiagonalFunction (double scale)
 The constructor, which specifies the weight of the diagonal part of the function. More...
 
mpf_t * DistanceTo1DLocalOptimum (const std::vector< mpf_t * > &pos, int d)
 Calculates for a position and a dimension the next local optimum if only the value of the position in the specified dimension is varied and returns the distance to it. More...
 
mpf_t * Eval (const std::vector< mpf_t * > &pos)
 Evaluates the function at the specified position. More...
 
std::string GetName ()
 Returns a string representation of this object. More...
 
- Public Member Functions inherited from highprecisionpso::Function
 Function ()
 A constructor. More...
 
 Function (double search_space_lower_bound, double search_space_upper_bound)
 A constructor, specifying the lower and upper search space bounds. More...
 
 Function (std::vector< double > search_space_lower_bound, std::vector< double > search_space_upper_bound)
 A constructor specifying the lower and upper search space bounds. More...
 
virtual ~Function ()
 The destructor. More...
 
virtual mpf_t * DistanceTo1DLocalOptimumTernarySearch (const std::vector< mpf_t * > &pos, int d, mpf_t *start_distance)
 Calculates for a position and a dimension the next local optimum if only the value of the position in the specified dimension is varied and returns the distance to it. More...
 
mpf_t * Evaluate (const std::vector< mpf_t * > &pos)
 This is the initial function for evaluation of a position. More...
 
virtual std::vector< mpf_t * > GetLowerSearchSpaceBound ()
 Returns the lower search space bound of the search space for this objective function. More...
 
virtual std::vector< mpf_t * > GetUpperSearchSpaceBound ()
 Returns the upper search space bound of the search space for this objective function. More...
 
void InitSearchSpaceBounds ()
 Initializes the search space bounds. More...
 
void SetFunctionBound (SearchSpaceBound *search_space_bound)
 Updates the bound of the search space according to the given data. More...
 

Detailed Description

This class implements the diagonal function, which represents a function with optimum at the origin and constant second derivative matrix.

The constant second derivative matrix is the matrix for the sphere function plus a some diagonal part.

Constructor & Destructor Documentation

highprecisionpso::DiagonalFunction::DiagonalFunction ( double  scale)

The constructor, which specifies the weight of the diagonal part of the function.

Parameters
scaleThe weight of the diagonal part.

Member Function Documentation

mpf_t* highprecisionpso::DiagonalFunction::DistanceTo1DLocalOptimum ( const std::vector< mpf_t * > &  pos,
int  d 
)
virtual

Calculates for a position and a dimension the next local optimum if only the value of the position in the specified dimension is varied and returns the distance to it.

For a given position all values (beside the value in the specified dimension) are regarded as constants. By a ternary search, where the value of the position in the specified dimension is varied, a local optimum is calculated. The result is the distance of the evaluated position and the found local optimum.

Parameters
posThe position.
dThe index of the observed dimension.
Returns
The distance to the next local optimum in a single dimensional setting.

Reimplemented from highprecisionpso::Function.

mpf_t* highprecisionpso::DiagonalFunction::Eval ( const std::vector< mpf_t * > &  pos)
virtual

Evaluates the function at the specified position.

Parameters
posThe position.
Returns
(sum (pos[i] * pos[i])) + scale * (sum (pos[i])) * (sum (pos[i]))

Implements highprecisionpso::Function.

std::string highprecisionpso::DiagonalFunction::GetName ( )
virtual

Returns a string representation of this object.

Returns
The name of the object.

Implements highprecisionpso::Function.


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