net.mumie.mathletfactory.mmobject.analysis.function

Class MMFunctionDefinedByExpression

java.lang.Object

net.mumie.mathletfactory.mmobject.MMDefaultCanvasObject

net.mumie.mathletfactory.mmobject.analysis.function.MMFunctionDefinedByExpression

All Implemented Interfaces:

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

public class MMFunctionDefinedByExpression
extends MMDefaultCanvasObject
implements FunctionOverBorelSetIF, MMFunctionAndDerivativeOverRIF, MMOneChainInRIF

This class offers a body for special functions that are constructed using an implementation of FunctionOverRIF.

Author:

vossbeck

Document status:

finished

Field Summary

Fields inherited from interface net.mumie.mathletfactory.math.analysis.function.FunctionAndDerivativeOverRIF

DEFAULT_DELTA

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
MMFunctionDefinedByExpression(java.lang.Class entryClass) Constructs the function with an empty (null) expression.
MMFunctionDefinedByExpression(java.lang.Class entryClass, FunctionOverRIF f) Constructs the function with the given expression as evaluation unit.

Method Summary

Methods

Modifier and Type	Method and Description
boolean	areBoundarysVisible() Returns whether the boundaries of the one chain's domain should be made visible by the system.
boolean	connect(double x1, double x2) Returns whether the points x1 and x2 should be connected Return false if the function is undefined for x between x1 and x2
double	evaluate(double x) Returns the function value for the given x.
void	evaluate(double[] xin, double[] yout) Inserts the function values for the given x array into the given y array.
void	evaluate(MNumber xin, MNumber yout) Inserts the function value for the given x into the given y.
int	getAllIntervalCount() Returns the number of intervals
FiniteBorelSet	getBorelSet() Returns the borel set, this function is defined on.
FiniteBorelSet	getBorelSetInComponent(int index) Returns the borel set of the chosen component f_i.
int	getComponentsCount() Returns the number of components for this one-chain.
int	getDefaultTransformType() Returns the default transform type of this object.
int	getDefaultTransformTypeAsContainer() Returns the default transform type of this object if it is rendered in a MMPanel.
int	getDefaultTransformTypeInCanvas() Returns the default transform type when rendered in a canvas.
FunctionOverRIF	getDerivativeByNumeric() Returns the numerically computed derivative of this function.
FunctionOverRIF	getDerivativeByNumeric(double epsilon) Returns the numerically computed derivative of this function using the given delta for the difference quotient.
void	getDerivativeByNumeric(double epsilon, MMFunctionDefinedByExpression f) Stores the numerically computed derivative for the specified epsilon in the given function argument.
void	getDerivativeByNumeric(MMFunctionDefinedByExpression f) Stores the numerically computed derivative of this function in the given function argument.
NumberSetIF	getDomain()
FunctionOverRIF	getEvaluateExpressionInComponent(int index) Returns the expression of the chosen component f_i.
FunctionOverRIF	getFunction() Returns the function serving as evaluation unit.
Interval	getInterval(int expressionCount, int intervalIndexInBorelSet) Returns a specific interval of the chosen component f_i.
int	getIntervalCountInComponent(int index) Returns the number of intervals (of the borel set) for the chosen component f_i.
java.lang.Class	getNumberClass() Returns the class object of the underlying number type of this geometric object.
FunctionOverRIF	getPrimitive() Returns the primitive G(x) = int_0^x g(t) dt where g is this function
FunctionOverRIF	getPrimitive(double a) Returns the primitive G(x) = int_a^x g(t) dt where g is this function
void	getPrimitive(MMFunctionDefinedByExpression f) Sets f to the primitive G(x) = int_0^x g(t) dt of this function g
void	getPrimitive(MMFunctionDefinedByExpression f, double a) Sets f to the primitive G(x) = int_a^x g(t) dt of this function g
int	getVerticesCount() Returns the number of vertices on which this continuous structure is mapped.
void	setBorelSet(FiniteBorelSet set) Sets the borel set, this function is defined on.
void	setBoundarysVisible(boolean aFlag) Specifies whether the boundaries of the one chain's domain should be made visible by the system.
void	setFunction(FunctionOverRIF f) Sets the given function expression as evaluation unit.
void	setVerticesCount(int vertexCount) Sets the number of vertices on which this continuous structure is mapped.

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, toString, 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

MMFunctionDefinedByExpression

public MMFunctionDefinedByExpression(java.lang.Class entryClass)

Constructs the function with an empty (null) expression.

MMFunctionDefinedByExpression

public MMFunctionDefinedByExpression(java.lang.Class entryClass,
                             FunctionOverRIF f)

Constructs the function with the given expression as evaluation unit.

Method Detail

setFunction

public void setFunction(FunctionOverRIF f)

Sets the given function expression as evaluation unit.

getFunction

public FunctionOverRIF getFunction()

Returns the function serving as evaluation unit.

getDefaultTransformType

public int getDefaultTransformType()

Description copied from interface: VisualizeIF

Returns the default transform type of this object. It is one of the constants listed in GeneralTransformer.

Specified by:

getDefaultTransformType in interface VisualizeIF

Specified by:

getDefaultTransformType in class MMDefaultCanvasObject

getDefaultTransformTypeInCanvas

public int getDefaultTransformTypeInCanvas()

Description copied from interface: VisualizeInCanvasIF

Returns the default transform type when rendered in a canvas. The return value must be one of the constants listed in GeneralTransformer.

Specified by:

getDefaultTransformTypeInCanvas in interface VisualizeInCanvasIF

Overrides:

getDefaultTransformTypeInCanvas in class MMDefaultCanvasObject

getDefaultTransformTypeAsContainer

public int getDefaultTransformTypeAsContainer()

Description copied from interface: VisualizeIF

Returns the default transform type of this object if it is rendered in a MMPanel. It is one of the constants listed in GeneralTransformer.

Specified by:

getDefaultTransformTypeAsContainer in interface VisualizeIF

Overrides:

getDefaultTransformTypeAsContainer in class MMDefaultCanvasObject

getVerticesCount

public int getVerticesCount()

Description copied from interface: Discretizable1DIF

Returns the number of vertices on which this continuous structure is mapped.

Specified by:

getVerticesCount in interface Discretizable1DIF

setVerticesCount

public void setVerticesCount(int vertexCount)

Description copied from interface: Discretizable1DIF

Sets the number of vertices on which this continuous structure is mapped.

Specified by:

setVerticesCount in interface Discretizable1DIF

setBoundarysVisible

public void setBoundarysVisible(boolean aFlag)

Description copied from interface: MMOneChainInRIF

Specifies whether the boundaries of the one chain's domain should be made visible by the system.

Specified by:

setBoundarysVisible in interface MMOneChainInRIF

areBoundarysVisible

public boolean areBoundarysVisible()

Description copied from interface: MMOneChainInRIF

Returns whether the boundaries of the one chain's domain should be made visible by the system.

Specified by:

areBoundarysVisible in interface MMOneChainInRIF

getBorelSet

public FiniteBorelSet getBorelSet()

Description copied from interface: FunctionOverBorelSetIF

Returns the borel set, this function is defined on.

Specified by:

getBorelSet in interface FunctionOverBorelSetIF

getDomain

public NumberSetIF getDomain()

evaluate

public double evaluate(double x)

Description copied from interface: FunctionOverRIF

Returns the function value for the given x.

Specified by:

evaluate in interface FunctionOverRIF

evaluate

public void evaluate(double[] xin,
            double[] yout)

Description copied from interface: FunctionOverRIF

Inserts the function values for the given x array into the given y array.

Specified by:

evaluate in interface FunctionOverRIF

evaluate

public void evaluate(MNumber xin,
            MNumber yout)

Description copied from interface: FunctionOverRIF

Inserts the function value for the given x into the given y.

Specified by:

evaluate in interface FunctionOverRIF

getNumberClass

public java.lang.Class getNumberClass()

Description copied from interface: NumberTypeDependentIF

Returns the class object of the underlying number type of this geometric object. This will typically be something like MDouble.class or MRational.class.

Specified by:

getNumberClass in interface NumberTypeDependentIF

getAllIntervalCount

public int getAllIntervalCount()

Description copied from interface: OneChainInRIF

Returns the number of intervals

Specified by:

getAllIntervalCount in interface OneChainInRIF

getInterval

public Interval getInterval(int expressionCount,
                   int intervalIndexInBorelSet)

Description copied from interface: OneChainInRIF

Returns a specific interval of the chosen component f_i.

Specified by:

getInterval in interface OneChainInRIF

getEvaluateExpressionInComponent

public FunctionOverRIF getEvaluateExpressionInComponent(int index)

Description copied from interface: OneChainInRIF

Returns the expression of the chosen component f_i.

Specified by:

getEvaluateExpressionInComponent in interface OneChainInRIF

getBorelSetInComponent

public FiniteBorelSet getBorelSetInComponent(int index)

Description copied from interface: OneChainInRIF

Returns the borel set of the chosen component f_i.

Specified by:

getBorelSetInComponent in interface OneChainInRIF

getComponentsCount

public int getComponentsCount()

Description copied from interface: OneChainInRIF

Returns the number of components for this one-chain. I.e. the number i of different expressions f_i.

Specified by:

getComponentsCount in interface OneChainInRIF

getIntervalCountInComponent

public int getIntervalCountInComponent(int index)

Description copied from interface: OneChainInRIF

Returns the number of intervals (of the borel set) for the chosen component f_i.

Specified by:

getIntervalCountInComponent in interface OneChainInRIF

getDerivativeByNumeric

public void getDerivativeByNumeric(MMFunctionDefinedByExpression f)

Description copied from interface: MMFunctionAndDerivativeOverRIF

Stores the numerically computed derivative of this function in the given function argument.

Specified by:

getDerivativeByNumeric in interface MMFunctionAndDerivativeOverRIF

getDerivativeByNumeric

public void getDerivativeByNumeric(double epsilon,
                          MMFunctionDefinedByExpression f)

Description copied from interface: MMFunctionAndDerivativeOverRIF

Stores the numerically computed derivative for the specified epsilon in the given function argument.

Specified by:

getDerivativeByNumeric in interface MMFunctionAndDerivativeOverRIF

getDerivativeByNumeric

public FunctionOverRIF getDerivativeByNumeric()

Description copied from interface: FunctionAndDerivativeOverRIF

Returns the numerically computed derivative of this function.

Specified by:

getDerivativeByNumeric in interface FunctionAndDerivativeOverRIF

getDerivativeByNumeric

public FunctionOverRIF getDerivativeByNumeric(double epsilon)

Description copied from interface: FunctionAndDerivativeOverRIF

Returns the numerically computed derivative of this function using the given delta for the difference quotient.

Specified by:

getDerivativeByNumeric in interface FunctionAndDerivativeOverRIF

getPrimitive

public FunctionOverRIF getPrimitive()

Returns the primitive G(x) = int_0^x g(t) dt where g is this function

getPrimitive

public void getPrimitive(MMFunctionDefinedByExpression f)

Sets f to the primitive G(x) = int_0^x g(t) dt of this function g

getPrimitive

public void getPrimitive(MMFunctionDefinedByExpression f,
                double a)

Sets f to the primitive G(x) = int_a^x g(t) dt of this function g

getPrimitive

public FunctionOverRIF getPrimitive(double a)

Returns the primitive G(x) = int_a^x g(t) dt where g is this function

setBorelSet

public void setBorelSet(FiniteBorelSet set)

Description copied from interface: FunctionOverBorelSetIF

Sets the borel set, this function is defined on.

Specified by:

setBorelSet in interface FunctionOverBorelSetIF

connect

public boolean connect(double x1,
              double x2)

Description copied from interface: MMOneChainInRIF

Returns whether the points x1 and x2 should be connected Return false if the function is undefined for x between x1 and x2

Specified by:

connect in interface MMOneChainInRIF