de.jtem.riemann.surface

Class AbstractAlgebraicCurve

java.lang.Object

de.jtem.riemann.surface.RamifiedCovering

de.jtem.riemann.surface.RamifiedCoveringVariation

de.jtem.riemann.surface.AbstractAlgebraicCurve

All Implemented Interfaces:

de.jtem.numericalMethods.calculus.function.RealFunctionOfSeveralVariables, AlgebraicCurve, Serializable, Cloneable

Direct Known Subclasses:

AbstractAlgebraicCurveWithForms

public abstract class AbstractAlgebraicCurve
extends RamifiedCoveringVariation
implements AlgebraicCurve, Serializable, Cloneable

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field and Description
protected CanonicalBasis	cb
protected int	genus
protected de.jtem.mfc.field.Complex[]	musAtDistinguishedPoints
protected de.jtem.mfc.field.Complex[]	musAtOrigin
protected int	numOfSheets

Fields inherited from class de.jtem.riemann.surface.RamifiedCoveringVariation

doubleValue, minDoubleValue

Fields inherited from class de.jtem.riemann.surface.RamifiedCovering

branchPoint, distinguishedPoint, EPS, initSurfacePoint, isInitialized, numOfBranchPoints, numOfDistinguishedPoints, numOfSingularPoints, numOfSurfacePoints, origin, pathGenerator, propertyChangeSupport, singularPoint, surfacePoint, uptodate

Constructor Summary

Constructors

Constructor and Description
AbstractAlgebraicCurve()

Method Summary

Modifier and Type	Method and Description
abstract void	evaluateCurve(de.jtem.mfc.field.Complex lambda, de.jtem.mfc.field.Complex mu, de.jtem.mfc.field.Complex Q, de.jtem.mfc.field.Complex dQdLambda, de.jtem.mfc.field.Complex dQdMu) Evaluates the algebraic equation Q(lambda,mu), and partial derivatives.
de.jtem.blas.ComplexVector[]	getBranchPointLoop()
de.jtem.blas.ComplexVector[]	getDistinguishedPointPath()
int	getGenus()
Transform	getHomologieTransform()
de.jtem.blas.IntegerMatrix	getMonodromyMatrix()
de.jtem.blas.IntegerMatrix	getMonodromyMatrix(de.jtem.blas.ComplexVector[] loops)
abstract void	getMusAt(de.jtem.mfc.field.Complex lambda, de.jtem.blas.ComplexVector mus)
de.jtem.mfc.field.Complex[]	getMusAtOrigin()
abstract int	getNumOfSheets()
de.jtem.blas.IntegerMatrix	getSingularMatrix()
de.jtem.blas.ComplexVector[]	getSingularPointLoop()
Transform	getTransform()
void	initCompute()
void	initHomologie()
void	update()
void	updateLoops()
void	updateMuAtOrigin()

Methods inherited from class de.jtem.riemann.surface.RamifiedCoveringVariation

eval, getDoubleArrayParameterLength, getDoubleArrayValue, getDoubleArrayValue, getDoubleArrayValueLength, getDoubleValue, getFactor, getMinDoubleValueState, getNumberOfVariables, getValue, minimize, minimize, setByParameter, setDoubleArrayParameter, setFactor, test

Methods inherited from class de.jtem.riemann.surface.RamifiedCovering

addPropertyChangeListener, computeLoops, firePropertyChange, firePropertyChange, getBranchPoint, getBranchPoints, getBranchPointWithCoords, getBranchPointWithCoords, getDistinguishedPoint, getDistinguishedPoints, getDistinguishedVector, getEnablePropertyChange, getIndexOfBranchPointWithCoords, getIndexOfBranchPointWithCoords, getIndexOfDistinguishedPointWithCoords, getIndexOfDistinguishedPointWithCoords, getIndexOfSingularPointWithCoords, getIndexOfSingularPointWithCoords, getIndexOfSurfacePointWithCoords, getIndexOfSurfacePointWithCoords, getNumOfBranchPoints, getNumOfDistinguishedPoints, getNumOfSingularPoints, getNumOfSurfacePoints, getOrigin, getPointsToAvoid, getSingularPoint, getSingularPoints, getState, getState, getSurfacePoints, getUptodate, init, move, outdate, removePropertyChangeListener, setEnablePropertyChange, setState, setUptodate

Methods inherited from class java.lang.Object

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

Field Detail

cb

protected CanonicalBasis cb

genus

protected int genus

musAtDistinguishedPoints

protected de.jtem.mfc.field.Complex[] musAtDistinguishedPoints

musAtOrigin

protected de.jtem.mfc.field.Complex[] musAtOrigin

numOfSheets

protected int numOfSheets

Constructor Detail

AbstractAlgebraicCurve

public AbstractAlgebraicCurve()

Method Detail

evaluateCurve

public abstract void evaluateCurve(de.jtem.mfc.field.Complex lambda,
                                   de.jtem.mfc.field.Complex mu,
                                   de.jtem.mfc.field.Complex Q,
                                   de.jtem.mfc.field.Complex dQdLambda,
                                   de.jtem.mfc.field.Complex dQdMu)

Description copied from interface: AlgebraicCurve

Evaluates the algebraic equation Q(lambda,mu), and partial derivatives.

Specified by:

evaluateCurve in interface AlgebraicCurve

Parameters:

lambda - input

mu - input

Q - output

dQdLambda - output

dQdMu - output

getBranchPointLoop

public de.jtem.blas.ComplexVector[] getBranchPointLoop()

getDistinguishedPointPath

public de.jtem.blas.ComplexVector[] getDistinguishedPointPath()

getGenus

public final int getGenus()

getHomologieTransform

public Transform getHomologieTransform()

getMonodromyMatrix

public de.jtem.blas.IntegerMatrix getMonodromyMatrix()

getMonodromyMatrix

public de.jtem.blas.IntegerMatrix getMonodromyMatrix(de.jtem.blas.ComplexVector[] loops)

getMusAt

public abstract void getMusAt(de.jtem.mfc.field.Complex lambda,
                              de.jtem.blas.ComplexVector mus)

getMusAtOrigin

public de.jtem.mfc.field.Complex[] getMusAtOrigin()

getNumOfSheets

public abstract int getNumOfSheets()

getSingularMatrix

public de.jtem.blas.IntegerMatrix getSingularMatrix()

getSingularPointLoop

public de.jtem.blas.ComplexVector[] getSingularPointLoop()

getTransform

public Transform getTransform()

Specified by:

getTransform in class RamifiedCovering

initCompute

public void initCompute()

Overrides:

initCompute in class RamifiedCovering

initHomologie

public void initHomologie()

update

public void update()

Overrides:

update in class RamifiedCovering

updateLoops

public void updateLoops()

updateMuAtOrigin

public void updateMuAtOrigin()