fr.cnes.sirius.patrius.math.optim.nonlinear.scalar.noderiv

Class AbstractSimplex

java.lang.Object

fr.cnes.sirius.patrius.math.optim.nonlinear.scalar.noderiv.AbstractSimplex

All Implemented Interfaces:

OptimizationData

Direct Known Subclasses:

MultiDirectionalSimplex, NelderMeadSimplex

public abstract class AbstractSimplex
extends Object
implements OptimizationData

This class implements the simplex concept. It is intended to be used in conjunction with SimplexOptimizer.
The initial configuration of the simplex is set by the constructors AbstractSimplex(double[]) or AbstractSimplex(double[][]). The other constructor will set all steps to 1, thus building a default configuration from a unit hypercube.
Users must call the build method in order to create the data structure that will be acted on by the other methods of this class.

Since:

3.0

Version:

$Id: AbstractSimplex.java 18108 2017-10-04 06:45:27Z bignon $

See Also:

SimplexOptimizer

Constructor Summary

Constructors

Modifier	Constructor and Description
protected	AbstractSimplex(double[] steps) The start configuration for simplex is built from a box parallel to the canonical axes of the space.
protected	AbstractSimplex(double[][] referenceSimplex) The real initial simplex will be set up by moving the reference simplex such that its first point is located at the start point of the optimization.
protected	AbstractSimplex(int n) Build a unit hypercube simplex.
protected	AbstractSimplex(int n, double sideLength) Build a hypercube simplex with the given side length.

Method Summary

Modifier and Type	Method and Description
void	build(double[] startPoint) Build an initial simplex.
void	evaluate(MultivariateFunction evaluationFunction, Comparator<PointValuePair> comparator) Evaluate all the non-evaluated points of the simplex.
int	getDimension() Get simplex dimension.
PointValuePair	getPoint(int index) Get the simplex point stored at the requested index.
PointValuePair[]	getPoints() Get the points of the simplex.
int	getSize() Get simplex size.
abstract void	iterate(MultivariateFunction evaluationFunction, Comparator<PointValuePair> comparator) Compute the next simplex of the algorithm.
protected PointValuePair	replaceWorstPoint(PointValuePair pointValuePair, Comparator<PointValuePair> comparator) Replace the worst point of the simplex by a new point.
protected void	setPoint(int index, PointValuePair point) Store a new point at location index.
protected void	setPoints(PointValuePair[] points) Replace all points.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

AbstractSimplex

protected AbstractSimplex(int n)

Build a unit hypercube simplex.

Parameters:

n - Dimension of the simplex.

AbstractSimplex

protected AbstractSimplex(int n,
                          double sideLength)

Build a hypercube simplex with the given side length.

Parameters:

n - Dimension of the simplex.

sideLength - Length of the sides of the hypercube.

AbstractSimplex

protected AbstractSimplex(double[] steps)

The start configuration for simplex is built from a box parallel to the canonical axes of the space. The simplex is the subset of vertices of a box parallel to the canonical axes. It is built as the path followed while traveling from one vertex of the box to the diagonally opposite vertex moving only along the box edges. The first vertex of the box will be located at the start point of the optimization. As an example, in dimension 3 a simplex has 4 vertices. Setting the steps to (1, 10, 2) and the start point to (1, 1, 1) would imply the start simplex would be: { (1, 1, 1), (2, 1, 1), (2, 11, 1), (2, 11, 3) }. The first vertex would be set to the start point at (1, 1, 1) and the last vertex would be set to the diagonally opposite vertex at (2, 11, 3).

Parameters:

steps - Steps along the canonical axes representing box edges. They may be negative but not zero.

Throws:

NullArgumentException - if steps is null.

ZeroException - if one of the steps is zero.

AbstractSimplex

protected AbstractSimplex(double[][] referenceSimplex)

The real initial simplex will be set up by moving the reference simplex such that its first point is located at the start point of the optimization.

Parameters:

referenceSimplex - Reference simplex.

Throws:

NotStrictlyPositiveException - if the reference simplex does not contain at least one point.

DimensionMismatchException - if there is a dimension mismatch in the reference simplex.

IllegalArgumentException - if one of its vertices is duplicated.

Method Detail

getDimension

public int getDimension()

Get simplex dimension.

Returns:

the dimension of the simplex.

getSize

public int getSize()

Get simplex size. After calling the build method, this method will will be equivalent to getDimension() + 1.

Returns:

the size of the simplex.

iterate

public abstract void iterate(MultivariateFunction evaluationFunction,
                             Comparator<PointValuePair> comparator)

Compute the next simplex of the algorithm.

Parameters:

evaluationFunction - Evaluation function.

comparator - Comparator to use to sort simplex vertices from best to worst.

Throws:

TooManyEvaluationsException - if the algorithm fails to converge.

build

public void build(double[] startPoint)

Build an initial simplex.

Parameters:

startPoint - First point of the simplex.

Throws:

DimensionMismatchException - if the start point does not match simplex dimension.

evaluate

public void evaluate(MultivariateFunction evaluationFunction,
                     Comparator<PointValuePair> comparator)

Evaluate all the non-evaluated points of the simplex.

Parameters:

evaluationFunction - Evaluation function.

comparator - Comparator to use to sort simplex vertices from best to worst.

Throws:

TooManyEvaluationsException - if the maximal number of evaluations is exceeded.

replaceWorstPoint

protected PointValuePair replaceWorstPoint(PointValuePair pointValuePair,
                                           Comparator<PointValuePair> comparator)

Replace the worst point of the simplex by a new point.

Parameters:

pointValuePair - Point to insert.

comparator - Comparator to use for sorting the simplex vertices from best to worst.

Returns:

modified point-value pair

getPoints

public PointValuePair[] getPoints()

Get the points of the simplex.

Returns:

all the simplex points.

getPoint

public PointValuePair getPoint(int index)

Get the simplex point stored at the requested index.

Parameters:

index - Location.

Returns:

the point at location index.

setPoint

protected void setPoint(int index,
                        PointValuePair point)

Store a new point at location index. Note that no deep-copy of point is performed.

Parameters:

index - Location.

point - New value.

setPoints

protected void setPoints(PointValuePair[] points)

Replace all points. Note that no deep-copy of points is performed.

Parameters:

points - New Points.