de.jtem.riemann.surface.example.isothermic

Class Genus7Example

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.example.isothermic.Genus7Example

All Implemented Interfaces:

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

public class Genus7Example
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

Constructor and Description
Genus7Example()

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 s, de.jtem.mfc.field.Complex dQdLambda, de.jtem.mfc.field.Complex dQdMu) Evaluates the algebraic equation Q(lambda,mu), and partial derivatives.
BranchPoint[]	getBranchPointsOfQ()
BranchPoint[]	getBranchPointsOfR()
void	getF(de.jtem.mfc.field.Complex lambda, de.jtem.mfc.field.Complex mu, de.jtem.mfc.field.Complex S, de.jtem.mfc.field.Complex dSdLambda, de.jtem.mfc.field.Complex dSdMu, de.jtem.blas.ComplexVector f)
void	getG(de.jtem.mfc.field.Complex lambda, de.jtem.mfc.field.Complex mu, de.jtem.mfc.field.Complex S, de.jtem.mfc.field.Complex dSdLambda, de.jtem.mfc.field.Complex dSdMu, de.jtem.blas.ComplexVector g)
void	getMusAt(de.jtem.mfc.field.Complex lambda, de.jtem.blas.ComplexVector mus)
int	getNumOfForms()
int	getNumOfSheets()
de.jtem.mfc.polynomial.ComplexPolynomial	getP()
de.jtem.mfc.polynomial.ComplexPolynomial	getQ()
de.jtem.mfc.polynomial.ComplexPolynomial	getR()
void	initCompute()
void	update()

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, updateEdgeIntegrals

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

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

Constructor Detail

Genus7Example

public Genus7Example()

Method Detail

evaluateCurve

public void evaluateCurve(de.jtem.mfc.field.Complex lambda,
                          de.jtem.mfc.field.Complex mu,
                          de.jtem.mfc.field.Complex s,
                          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

s - output

dQdLambda - output

dQdMu - output

getBranchPointsOfQ

public BranchPoint[] getBranchPointsOfQ()

getBranchPointsOfR

public BranchPoint[] getBranchPointsOfR()

getF

public void getF(de.jtem.mfc.field.Complex lambda,
                 de.jtem.mfc.field.Complex mu,
                 de.jtem.mfc.field.Complex S,
                 de.jtem.mfc.field.Complex dSdLambda,
                 de.jtem.mfc.field.Complex dSdMu,
                 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 S,
                 de.jtem.mfc.field.Complex dSdLambda,
                 de.jtem.mfc.field.Complex dSdMu,
                 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

getP

public de.jtem.mfc.polynomial.ComplexPolynomial getP()

getQ

public de.jtem.mfc.polynomial.ComplexPolynomial getQ()

getR

public de.jtem.mfc.polynomial.ComplexPolynomial getR()

initCompute

public void initCompute()

Overrides:

initCompute in class AbstractAlgebraicCurveWithForms

update

public void update()

Overrides:

update in class AbstractAlgebraicCurveWithForms