MathUtils::Rastrigin Class Reference

Rastrigin function functor (for testing global optimization). f(x) = A*n + sum(x[i]^2 - A*cos(2*pi*x[i])) for all i Default: A = 10 Global minimum at origin with f = 0. Highly multimodal - challenging for local optimizers. More...

#include <MathUtils_FunctorVector.hxx>

Public Member Functions
	Rastrigin (double theA=10.0)
	Constructor with parameter.
bool	Value (const math_Vector &theX, double &theY) const
	Evaluates the Rastrigin function.
bool	Gradient (const math_Vector &theX, math_Vector &theG) const
	Evaluates the gradient of the Rastrigin function.
bool	Values (const math_Vector &theX, double &theY, math_Vector &theG) const
	Evaluates both value and gradient.

Detailed Description

Rastrigin function functor (for testing global optimization). f(x) = A*n + sum(x[i]^2 - A*cos(2*pi*x[i])) for all i Default: A = 10 Global minimum at origin with f = 0. Highly multimodal - challenging for local optimizers.

Constructor & Destructor Documentation

Rastrigin()

MathUtils::Rastrigin::Rastrigin ( double theA = 10.0 )

inlineexplicit

Constructor with parameter.

Parameters

theA	parameter A (default 10.0)

Member Function Documentation

Gradient()

bool MathUtils::Rastrigin::Gradient ( const math_Vector & theX, math_Vector & theG ) const

inline

Evaluates the gradient of the Rastrigin function.

Parameters

[in]	theX	input vector
[out]	theG	gradient vector

Returns

true (always succeeds)

Value()

bool MathUtils::Rastrigin::Value ( const math_Vector & theX, double & theY ) const

inline

Evaluates the Rastrigin function.

Parameters

[in]	theX	input vector
[out]	theY	function value

Returns

true (always succeeds)

Values()

bool MathUtils::Rastrigin::Values ( const math_Vector & theX, double & theY, math_Vector & theG ) const

inline

Evaluates both value and gradient.

Parameters

[in]	theX	input vector
[out]	theY	function value
[out]	theG	gradient vector

Returns

true (always succeeds)

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

• MathUtils_FunctorVector.hxx