sgpp::optimization::test_problems::G11 Class Reference

G11 constrained test problem. More...

#include <G11.hpp>

Inheritance diagram for sgpp::optimization::test_problems::G11:

Public Member Functions
	G11 ()
	Constructor. More...
TestVectorFunction &	getEqualityConstraintFunction () override
TestVectorFunction &	getInequalityConstraintFunction () override
TestScalarFunction &	getObjectiveFunction () override
double	getOptimalPointUndisplaced (base::DataVector &x) override
	~G11 () override
	Destructor. More...
Public Member Functions inherited from sgpp::optimization::test_problems::ConstrainedTestProblem
	ConstrainedTestProblem (size_t d)
	Constructor. More...
void	generateDisplacement ()
	Generate normally distributed pseudorandom displacement with default standard deviation. More...
void	generateDisplacement (double stdDev)
	Generate normally distributed pseudorandom displacement. More...
const base::DataVector &	getDisplacement () const
double	getOptimalPoint (base::DataVector &x)
	Returns the minimal point of the displaced function. More...
void	setDisplacement (const base::DataVector &displacement)
	Returns the displacement vector. More...
virtual	~ConstrainedTestProblem ()
	Destructor. More...

Protected Attributes
G11Objective	f
	objective function More...
G11InequalityConstraint	g
	inequality constraint function More...
G11EqualityConstraint	h
	equality constraint function More...
Protected Attributes inherited from sgpp::optimization::test_problems::ConstrainedTestProblem
size_t	d
	number of parameters More...
base::DataVector	displacement
	displacement vector More...

Additional Inherited Members
Static Public Attributes inherited from sgpp::optimization::test_problems::ConstrainedTestProblem
static constexpr double	DEFAULT_STANDARD_DEVIATION = 0.01
	default standard deviation for the displacement vector More...
Protected Member Functions inherited from sgpp::optimization::test_problems::ConstrainedTestProblem
virtual bool	isDisplacementFeasible ()
	Checks if the current displacement is ok for the specific objective function. More...

Detailed Description

G11 constrained test problem.

• Number of parameters: 2
• Number of inequality constraints: 0
• Number of equality constraints: 1
• Domain: \(\bar{\vec{x}} \in [-1, 1]^2\)
• Optimal point: \(\bar{\vec{x}}_{\text{opt}} = (\pm 1/\sqrt{2}, 1/2)\)
• Optimal function value: \(\bar{f}(\bar{\vec{x}}_{\text{opt}}) = 3/4\)

Constructor & Destructor Documentation

G11()

sgpp::optimization::test_problems::G11::G11

(

)

Constructor.

~G11()

sgpp::optimization::test_problems::G11::~G11 ( )

override

Destructor.

Member Function Documentation

getEqualityConstraintFunction()

TestVectorFunction & sgpp::optimization::test_problems::G11::getEqualityConstraintFunction ( )

overridevirtual

Returns

equality constraint function of the test problem

Implements sgpp::optimization::test_problems::ConstrainedTestProblem.

References h.

getInequalityConstraintFunction()

TestVectorFunction & sgpp::optimization::test_problems::G11::getInequalityConstraintFunction ( )

overridevirtual

Returns

inequality function of the test problem

Implements sgpp::optimization::test_problems::ConstrainedTestProblem.

References g.

getObjectiveFunction()

TestScalarFunction & sgpp::optimization::test_problems::G11::getObjectiveFunction ( )

overridevirtual

Returns

objective function of the test problem

Implements sgpp::optimization::test_problems::ConstrainedTestProblem.

References f.

getOptimalPointUndisplaced()

double sgpp::optimization::test_problems::G11::getOptimalPointUndisplaced ( base::DataVector &  x )

overridevirtual

Parameters

[out]

x

minimal point \(\vec{x}_\opt \in [0, 1]^d\)

Returns

minimal function value \(f(\vec{x}_\opt)\)

Implements sgpp::optimization::test_problems::ConstrainedTestProblem.

Member Data Documentation

f

G11Objective sgpp::optimization::test_problems::G11::f

protected

objective function

Referenced by getObjectiveFunction().

g

G11InequalityConstraint sgpp::optimization::test_problems::G11::g

protected

inequality constraint function

Referenced by getInequalityConstraintFunction().

h

G11EqualityConstraint sgpp::optimization::test_problems::G11::h

protected

equality constraint function

Referenced by getEqualityConstraintFunction().

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

• optimization/src/sgpp/optimization/test_problems/constrained/G11.hpp
• optimization/src/sgpp/optimization/test_problems/constrained/G11.cpp