sgpp::optimization::test_problems::G04Squared Class Reference

G04Squared constrained test problem. More...

#include <G04Squared.hpp>

Inheritance diagram for sgpp::optimization::test_problems::G04Squared:

Public Member Functions
	G04Squared ()
	Constructor.
TestVectorFunction &	getEqualityConstraintFunction () override
TestVectorFunction &	getInequalityConstraintFunction () override
TestScalarFunction &	getObjectiveFunction () override
double	getOptimalPointUndisplaced (base::DataVector &x) override
	~G04Squared () override
	Destructor.
Public Member Functions inherited from sgpp::optimization::test_problems::ConstrainedTestProblem
	ConstrainedTestProblem (size_t d)
	Constructor.
void	generateDisplacement ()
	Generate normally distributed pseudorandom displacement with default standard deviation.
void	generateDisplacement (double stdDev)
	Generate normally distributed pseudorandom displacement.
const base::DataVector &	getDisplacement () const
double	getOptimalPoint (base::DataVector &x)
	Returns the minimal point of the displaced function.
void	setDisplacement (const base::DataVector &displacement)
	Returns the displacement vector.
virtual	~ConstrainedTestProblem ()
	Destructor.

Protected Member Functions
bool	isDisplacementFeasible () override
	Sets the first, second, and fourth displacement component to zero and checks the resulting displacement.

Protected Attributes
G04SquaredObjective	f
	objective function
G04SquaredInequalityConstraint	g
	inequality constraint function
G04SquaredEqualityConstraint	h
	equality constraint function
Protected Attributes inherited from sgpp::optimization::test_problems::ConstrainedTestProblem
size_t	d
	number of parameters
base::DataVector	displacement
	displacement vector

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

Detailed Description

G04Squared constrained test problem.

• Number of parameters: 5
• Number of inequality constraints: 6
• Number of equality constraints: 0
• Domain: \(\bar{\vec{x}} \in [78, 102] \times [33, 45] \times [27, 45]^3\)
• Optimal point: \(\bar{\vec{x}}_{\text{opt}} = (78, 33, 29.99526, 45, 36.77581)\)
• Optimal function value: \(\bar{f}(\bar{\vec{x}}_{\text{opt}}) = 43.590738\)

Constructor & Destructor Documentation

G04Squared()

sgpp::optimization::test_problems::G04Squared::G04Squared

(

)

Constructor.

~G04Squared()

sgpp::optimization::test_problems::G04Squared::~G04Squared ( )

override

Destructor.

Member Function Documentation

getEqualityConstraintFunction()

TestVectorFunction & sgpp::optimization::test_problems::G04Squared::getEqualityConstraintFunction ( )

overridevirtual

Returns

equality constraint function of the test problem

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

References h.

getInequalityConstraintFunction()

TestVectorFunction & sgpp::optimization::test_problems::G04Squared::getInequalityConstraintFunction ( )

overridevirtual

Returns

inequality function of the test problem

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

References g.

getObjectiveFunction()

TestScalarFunction & sgpp::optimization::test_problems::G04Squared::getObjectiveFunction ( )

overridevirtual

Returns

objective function of the test problem

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

References f.

getOptimalPointUndisplaced()

double sgpp::optimization::test_problems::G04Squared::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.

isDisplacementFeasible()

bool sgpp::optimization::test_problems::G04Squared::isDisplacementFeasible ( )

overrideprotectedvirtual

Sets the first, second, and fourth displacement component to zero and checks the resulting displacement.

Returns

whether the current displacement is feasible

Reimplemented from sgpp::optimization::test_problems::ConstrainedTestProblem.

References sgpp::optimization::test_problems::ConstrainedTestProblem::displacement, and sgpp::optimization::test_problems::ConstrainedTestProblem::isDisplacementFeasible().

Member Data Documentation

f

G04SquaredObjective sgpp::optimization::test_problems::G04Squared::f

protected

objective function

Referenced by getObjectiveFunction(), and python.uq.refinement.RefinementStrategy.PredictiveRanking::rank().

g

G04SquaredInequalityConstraint sgpp::optimization::test_problems::G04Squared::g

protected

inequality constraint function

Referenced by getInequalityConstraintFunction().

h

G04SquaredEqualityConstraint sgpp::optimization::test_problems::G04Squared::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/G04Squared.hpp
• optimization/src/sgpp/optimization/test_problems/constrained/G04Squared.cpp