net.mumie.mathletfactory.mmobject.analysis.function

Class MMCubicSpline

java.lang.Object

net.mumie.mathletfactory.mmobject.MMDefaultCanvasObject

net.mumie.mathletfactory.mmobject.analysis.function.MMFunctionDefinedBySamples

net.mumie.mathletfactory.mmobject.analysis.function.MMAbstractSpline

net.mumie.mathletfactory.mmobject.analysis.function.MMCubicSpline

All Implemented Interfaces:

java.beans.PropertyChangeListener, java.util.EventListener, FunctionOverBorelSetIF, FunctionOverRIF, OneChainInRIF, NumberTypeDependentIF, MMOneChainInRIF, Discretizable1DIF, InteractivityIF, MMCanvasObjectIF, MMObjectIF, PropertyHandlerIF, VisualizeIF, VisualizeInCanvasIF

public class MMCubicSpline
extends MMAbstractSpline

This class represents a cubic spline, i.e. a piecewise defined function that consists of a polynomial expression on each interval with a maximum degree of 3 and that are 2 times differentiable at the joints of each two neighbouring intervals.

Author:

vossbeck, Paehler

Document status:

finished

Field Summary

Fields inherited from class net.mumie.mathletfactory.mmobject.analysis.function.MMFunctionDefinedBySamples

m_borelSet, m_BoundaryVisibility, m_dataPoints, m_dataPointsNeedResort, m_doubleArraysNeedAdjust, m_vertices_count_in_drawable, m_xVals, m_yVals

Fields inherited from interface net.mumie.mathletfactory.mmobject.PropertyHandlerIF

DIRECTION_VECTOR, EDITABLE, EDITED, FINITE_NUMBER_SET_ENTRY, INDEXED_ENTRY, INTERVAL, INTERVAL_LOW_BOUND_TYPE, INTERVAL_LOW_BOUND_VALUE, INTERVAL_UP_BOUND_TYPE, INTERVAL_UP_BOUND_VALUE, MATRIX_ENTRY, NUMBER, NUMBERMATRIX, OPERATION, OPERATION_ARRAY, ORIGIN_VECTOR, RELATION, SET_ENTRY, STRING, STRING_MATRIX

Fields inherited from interface net.mumie.mathletfactory.mmobject.Discretizable1DIF

DEFAULT_VERTICES_COUNT

Constructor Summary

Constructors

Constructor and Description
MMCubicSpline(java.lang.Class numberClass, double[] xVals, double[] yVals) Constructs a cubic spline that has its joints at the given points.
MMCubicSpline(MMAffine2DPoint[] points) Constructs a cubic spline that has its joints at the given points.

Method Summary

Methods

Modifier and Type	Method and Description
protected void	adjustInternalData() Resorts the point array, constructs the double array from it and adjusts the borel domain.
double	getLeftDerivative() Returns the spline's derivatives at the left border of the domain.
double	getRightDerivative() Returns the spline's derivatives at the right border of the domain.
static void	main(java.lang.String[] str)
void	setDerivatives(double leftDerivative, double rightDerivative) Sets the spline's derivatives at the left and the right border of the domain.
protected double	specificEvaluate(double x, int i) Should return the function value for the given x and interval index.
protected void	specificEvaluate(MNumber xin, MNumber yout, int i) Should return the function value for the given x and interval index.
java.lang.String	toString() Returns a string representation of the samples.

Methods inherited from class net.mumie.mathletfactory.mmobject.analysis.function.MMAbstractSpline

adjustBorelDomain, evaluate, evaluate, getIntervalIndex, getIntervalIndex

Methods inherited from class net.mumie.mathletfactory.mmobject.analysis.function.MMFunctionDefinedBySamples

adjustDoubleArrays, areBoundarysVisible, connect, evaluate, exportSamplesAsColumnMatrix, getAllIntervalCount, getBorelSet, getBorelSet, getBorelSetInComponent, getComponentsCount, getDefaultTransformType, getDefaultTransformTypeAsContainer, getDefaultTransformTypeInCanvas, getDomain, getEvaluateExpressionInComponent, getExpressionCount, getFunctionExpression, getInterval, getIntervalCount, getIntervalCountInComponent, getNumberClass, getSamplePoint, getSamplesCount, getVerticesCount, getXmax, getXmaxDouble, getXmin, getXminDouble, resortPoints, setBorelSet, setBoundarysVisible, setFromPoints, setSample, setSample, setVerticesCount

Methods inherited from class net.mumie.mathletfactory.mmobject.MMDefaultCanvasObject

addHandler, addSpecialCaseListener, addUpdater, dependsOn, dependsOn, doAction, draw, fireSpecialCaseEvent, getActiveHandler, getAsCanvasContent, getAsContainerContent, getAsContainerContent, getCanvas, getCanvasTransformer, getDisplayProperties, getDisplayTransformerMap, getHandlerCount, getHandlers, getInteractionHelper, getLabel, getTransformType, getUpdaterCount, getWorldBoundingBox, invokeUpdaters, isAtScreenLocation, isEditable, isSelectable, isSelected, isVisible, propertyChange, removeAllHandlers, removeAllUpdaters, removeHandler, removeSpecialCaseListener, removeUpdater, render, resetActiveHandler, setBorderColor, setCanvas, setCanvasTransformer, setColor, setDisplayProperties, setEditable, setLabel, setObjectColor, setVisible

Methods inherited from class java.lang.Object

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

Methods inherited from interface net.mumie.mathletfactory.mmobject.MMObjectIF

addSpecialCaseListener, fireSpecialCaseEvent, getDisplayProperties, getLabel, isEditable, removeSpecialCaseListener, setDisplayProperties, setEditable, setLabel

Methods inherited from interface net.mumie.mathletfactory.mmobject.VisualizeIF

draw, getAsContainerContent, getAsContainerContent, getDisplayTransformerMap, getTransformType, isVisible, render, setVisible

Methods inherited from interface net.mumie.mathletfactory.mmobject.InteractivityIF

addHandler, addUpdater, dependsOn, dependsOn, doAction, getActiveHandler, getHandlerCount, getHandlers, getUpdaterCount, invokeUpdaters, isSelectable, isSelected, removeAllHandlers, removeAllUpdaters, removeHandler, removeUpdater, resetActiveHandler

Methods inherited from interface java.beans.PropertyChangeListener

propertyChange

Methods inherited from interface net.mumie.mathletfactory.mmobject.VisualizeInCanvasIF

getAsCanvasContent, getCanvas, getCanvasTransformer, getWorldBoundingBox, isAtScreenLocation, setCanvas, setCanvasTransformer

Constructor Detail

MMCubicSpline

public MMCubicSpline(java.lang.Class numberClass,
             double[] xVals,
             double[] yVals)

Constructs a cubic spline that has its joints at the given points.

MMCubicSpline

public MMCubicSpline(MMAffine2DPoint[] points)

Constructs a cubic spline that has its joints at the given points.

Method Detail

adjustInternalData

protected void adjustInternalData()

Description copied from class: MMFunctionDefinedBySamples

Resorts the point array, constructs the double array from it and adjusts the borel domain.

Overrides:

adjustInternalData in class MMFunctionDefinedBySamples

setDerivatives

public void setDerivatives(double leftDerivative,
                  double rightDerivative)

Sets the spline's derivatives at the left and the right border of the domain.

getLeftDerivative

public double getLeftDerivative()

Returns the spline's derivatives at the left border of the domain.

getRightDerivative

public double getRightDerivative()

Returns the spline's derivatives at the right border of the domain.

specificEvaluate

protected double specificEvaluate(double x,
                      int i)

Description copied from class: MMAbstractSpline

Should return the function value for the given x and interval index.

Specified by:

specificEvaluate in class MMAbstractSpline

specificEvaluate

protected void specificEvaluate(MNumber xin,
                    MNumber yout,
                    int i)

Description copied from class: MMAbstractSpline

Should return the function value for the given x and interval index.

Specified by:

specificEvaluate in class MMAbstractSpline

toString

public java.lang.String toString()

Description copied from class: MMFunctionDefinedBySamples

Returns a string representation of the samples.

Overrides:

toString in class MMFunctionDefinedBySamples

main

public static void main(java.lang.String[] str)