de.jtem.riemann.surface.hyperElliptic

Class HyperEllipticCurve

java.lang.Object

de.jtem.riemann.surface.RamifiedCovering

de.jtem.riemann.surface.RamifiedCoveringVariation

de.jtem.riemann.surface.AbstractAlgebraicCurve

de.jtem.riemann.surface.AbstractAlgebraicCurveWithForms

de.jtem.riemann.surface.hyperElliptic.HyperEllipticCurve

All Implemented Interfaces:

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

Direct Known Subclasses:

HyperEllipticCurveExample

public class HyperEllipticCurve
extends AbstractAlgebraicCurveWithForms

See Also:

Serialized Form

Field Summary

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

aPeriods, bPeriods, edgeIntegrals, formTransform, numOfForms, periodMatrix

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

cb, genus, musAtDistinguishedPoints, musAtOrigin, 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

Modifier	Constructor and Description
protected	HyperEllipticCurve()
	HyperEllipticCurve(BranchPoint[] bp, de.jtem.mfc.field.Complex origin)
	HyperEllipticCurve(BranchPoint[] bp, SingularPoint[] sp, DistinguishedPoint[] dp, de.jtem.mfc.field.Complex origin)

Method Summary

Modifier and Type	Method and Description
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.
void	getF(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, de.jtem.blas.ComplexVector f)
void	getG(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, de.jtem.blas.ComplexVector g)
void	getMusAt(de.jtem.mfc.field.Complex lambda, de.jtem.blas.ComplexVector mus)
int	getNumOfForms()
int	getNumOfSheets()
void	getProduct(de.jtem.mfc.field.Complex lambda, de.jtem.mfc.field.Complex product)
void	initCompute()
void	updateMuAtOrigin()

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

computeAPeriodsOfForm, computeBPeriodsOfForm, getAPeriods, getBPeriods, getEdgeIntegrals, getEps, getFormTransform, getPeriodMatrix, getSymmetrizePeriodMatrix, integrateForms, integrateForms, integrateForms, integrateForms, integrateForms, integrateFormsIntoBranchPoint, setEps, setSymmetrizePeriodMatrix, startIntegration, symmetrizePeriodMatrix, update, updateEdgeIntegrals

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

getBranchPointLoop, getDistinguishedPointPath, getGenus, getHomologieTransform, getMonodromyMatrix, getMonodromyMatrix, getMusAtOrigin, getSingularMatrix, getSingularPointLoop, getTransform, initHomologie, updateLoops

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

Constructor Detail

HyperEllipticCurve

protected HyperEllipticCurve()

HyperEllipticCurve

public HyperEllipticCurve(BranchPoint[] bp,
                          de.jtem.mfc.field.Complex origin)

HyperEllipticCurve

public HyperEllipticCurve(BranchPoint[] bp,
                          SingularPoint[] sp,
                          DistinguishedPoint[] dp,
                          de.jtem.mfc.field.Complex origin)

Method Detail

evaluateCurve

public 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

Specified by:

evaluateCurve in class AbstractAlgebraicCurve

Parameters:

lambda - input

mu - input

Q - output

dQdLambda - output

dQdMu - output

getF

public void getF(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,
                 de.jtem.blas.ComplexVector f)

Specified by:

getF in class AbstractAlgebraicCurveWithForms

getG

public void getG(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,
                 de.jtem.blas.ComplexVector g)

Specified by:

getG in class AbstractAlgebraicCurveWithForms

getMusAt

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

Specified by:

getMusAt in class AbstractAlgebraicCurve

getNumOfForms

public int getNumOfForms()

Specified by:

getNumOfForms in class AbstractAlgebraicCurveWithForms

getNumOfSheets

public int getNumOfSheets()

Specified by:

getNumOfSheets in class AbstractAlgebraicCurve

getProduct

public void getProduct(de.jtem.mfc.field.Complex lambda,
                       de.jtem.mfc.field.Complex product)

initCompute

public void initCompute()

Overrides:

initCompute in class AbstractAlgebraicCurveWithForms

updateMuAtOrigin

public void updateMuAtOrigin()

Overrides:

updateMuAtOrigin in class AbstractAlgebraicCurve