sgpp::optimization::test_problems::TestScalarFunction Class Reference

Base class for analytical objective function examples ("test functions"). More...

#include <TestScalarFunction.hpp>

Inheritance diagram for sgpp::optimization::test_problems::TestScalarFunction:

Public Member Functions
double	eval (const base::DataVector &x) override
	Evaluate displaced function. More...
virtual double	evalUndisplaced (const base::DataVector &x)=0
	Pure virtual method for evaluating the undisplaced function. More...
const base::DataVector &	getDisplacement () const
void	setDisplacement (const base::DataVector &displacement)
	TestScalarFunction (size_t d)
	Constructor. More...
	~TestScalarFunction () override
	Destructor. More...
Public Member Functions inherited from sgpp::optimization::ScalarFunction
virtual void	clone (std::unique_ptr< ScalarFunction > &clone) const =0
	Pure virtual method for cloning the function. More...
size_t	getNumberOfParameters () const
	ScalarFunction (size_t d)
	Constructor. More...
virtual	~ScalarFunction ()
	Destructor. More...

Protected Attributes
base::DataVector	displacement
	displacement vector More...
base::DataVector	xTmp
	temporary vector for displacing More...
Protected Attributes inherited from sgpp::optimization::ScalarFunction
size_t	d
	dimension of the domain More...

Detailed Description

Base class for analytical objective function examples ("test functions").

This class differs from ScalarFunction in the way that evaluation point \(\vec{x}\) are pseudorandomly displaced when calling the eval() function. Evaluting the undisplaced function must be implemented in evalUndisplaced. The displaced function is \(\vec{x} \mapsto f(\vec{x} + \vec{d})\) for a vector \(\vec{d}\) ("displacement").

Taking the average of results of multiple runs with different displacements makes results more robust and significant.

Constructor & Destructor Documentation

TestScalarFunction()

sgpp::optimization::test_problems::TestScalarFunction::TestScalarFunction ( size_t  d )

explicit

Constructor.

The displacement is set to all zeros, so to displace the function call generateDisplacement() afterwards.

Parameters

d	dimension of the domain

~TestScalarFunction()

sgpp::optimization::test_problems::TestScalarFunction::~TestScalarFunction ( )

override

Destructor.

Member Function Documentation

eval()

double sgpp::optimization::test_problems::TestScalarFunction::eval ( const base::DataVector &  x )

overridevirtual

Evaluate displaced function.

Parameters

x	point \(\vec{x} \in \mathbb{R}^d\)

Returns

\(f(\vec{x} + \vec{d})\) with displacement \(\vec{d}\)

Implements sgpp::optimization::ScalarFunction.

References sgpp::optimization::ScalarFunction::d, displacement, evalUndisplaced(), and xTmp.

evalUndisplaced()

virtual double sgpp::optimization::test_problems::TestScalarFunction::evalUndisplaced ( const base::DataVector &  x )

pure virtual

Pure virtual method for evaluating the undisplaced function.

Parameters

x	point \(\vec{x} \in \mathbb{R}^d\)

Returns

\(f(\vec{x})\)

Implemented in sgpp::optimization::test_problems::Hartman3Objective, sgpp::optimization::test_problems::Hartman6Objective, sgpp::optimization::test_problems::TremblingParabolaObjective, sgpp::optimization::test_problems::EasomYangObjective, sgpp::optimization::test_problems::EggholderObjective, sgpp::optimization::test_problems::GoldsteinPriceObjective, sgpp::optimization::test_problems::GriewankObjective, sgpp::optimization::test_problems::AckleyObjective, sgpp::optimization::test_problems::BraninObjective, sgpp::optimization::test_problems::BubbleWrapObjective, sgpp::optimization::test_problems::IncreasingPowerObjective, sgpp::optimization::test_problems::PermObjective, sgpp::optimization::test_problems::RastriginObjective, sgpp::optimization::test_problems::RosenbrockObjective, sgpp::optimization::test_problems::G03Objective, sgpp::optimization::test_problems::G09Objective, sgpp::optimization::test_problems::BealeObjective, sgpp::optimization::test_problems::HoelderTableObjective, sgpp::optimization::test_problems::MladineoObjective, sgpp::optimization::test_problems::SchwefelObjective, sgpp::optimization::test_problems::SHCBObjective, sgpp::optimization::test_problems::G04Objective, sgpp::optimization::test_problems::G05Objective, sgpp::optimization::test_problems::G08Objective, sgpp::optimization::test_problems::AbsoluteValueObjective, sgpp::optimization::test_problems::MichalewiczObjective, sgpp::optimization::test_problems::SphereObjective, sgpp::optimization::test_problems::FloudasObjective, sgpp::optimization::test_problems::G06Objective, sgpp::optimization::test_problems::G10Objective, sgpp::optimization::test_problems::G11Objective, sgpp::optimization::test_problems::G12Objective, sgpp::optimization::test_problems::G13Objective, sgpp::optimization::test_problems::SimionescuObjective, sgpp::optimization::test_problems::SolandObjective, and sgpp::optimization::test_problems::HimmelblauObjective.

Referenced by eval().

getDisplacement()

const base::DataVector & sgpp::optimization::test_problems::TestScalarFunction::getDisplacement

(

)

const

Returns

currently used displacement

References displacement.

setDisplacement()

void sgpp::optimization::test_problems::TestScalarFunction::setDisplacement

(

const base::DataVector &

displacement

)

Parameters

displacement

currently used displacement

References displacement.

Referenced by sgpp::optimization::test_problems::UnconstrainedTestProblem::generateDisplacement(), sgpp::optimization::test_problems::ConstrainedTestProblem::generateDisplacement(), sgpp::optimization::test_problems::UnconstrainedTestProblem::setDisplacement(), and sgpp::optimization::test_problems::ConstrainedTestProblem::setDisplacement().

Member Data Documentation

displacement

base::DataVector sgpp::optimization::test_problems::TestScalarFunction::displacement

protected

displacement vector

Referenced by eval(), getDisplacement(), and setDisplacement().

xTmp

base::DataVector sgpp::optimization::test_problems::TestScalarFunction::xTmp

protected

temporary vector for displacing

Referenced by eval().

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

• optimization/src/sgpp/optimization/test_problems/TestScalarFunction.hpp
• optimization/src/sgpp/optimization/test_problems/TestScalarFunction.cpp