vmm.pseudospherical
Class nSolitons

java.lang.Object
  vmm.core.Exhibit
      vmm.core3D.Exhibit3D
          vmm.surface.Surface
              vmm.surface.parametric.SurfaceParametric
                  vmm.pseudospherical.nSolitons

All Implemented Interfaces:

java.util.EventListener, javax.swing.event.ChangeListener, Decorateable, Parameterizable

Direct Known Subclasses:

Breather, OneSoliton, ThreeSoliton, TwoSoliton

public class nSolitons
extends SurfaceParametric

Field Summary

ComplexMatrix2D[][]	E
ComplexMatrix2D	E0
ComplexMatrix2D	E1
double	epsilon
ComplexMatrix2D[][]	g
ComplexMatrix2D	g1
ComplexMatrix2D	g1Perp
ComplexMatrix2D	g2
ComplexMatrix2D	g3
ComplexMatrix2D	id
ComplexVector2D	initVec
ComplexVector2D	initVec1
ComplexVector2D	initVec2
ComplexMatrix2D	proj
ComplexMatrix2D	proj1
ComplexMatrix2D	proj2
ComplexMatrix2D	projPerp
ComplexMatrix2D	projPerp1
ComplexMatrix2D	projPerp2
RealParamAnimateable	s
RealParamAnimateable	s1
RealParamAnimateable	s2
int	solitonNum

Fields inherited from class vmm.surface.parametric.SurfaceParametric

COLOR_GAUSS_CURVATURE, COLOR_MEAN_CURVATURE, COLOR_TWO_SIDED_DEFAULT, COLOR_TWO_SIDED_USER, COLOR_USER, COLOR_USER_FUNCTION_HSB, COLOR_USER_FUNCTION_RGB, COLOR_WHITE, umax, umin, vmax, vmin

Fields inherited from class vmm.surface.Surface

data, uPatchCount, vPatchCount

Fields inherited from class vmm.core3D.Exhibit3D

defaultViewpoint, defaultViewUp, previousTransform3D

Fields inherited from class vmm.core.Exhibit

decorations, exhibitNeedsRedraw, isMorphing, morphingView, parameters, previousTransform

Constructor Summary

nSolitons()

Method Summary

void	afterFirstSol(double x, double t)
void	afterIterate1(double x, double t)
ComplexMatrix2D	firstSoliton(double x, double t)
void	getE0(double x, double t, Complex lmbda)
void	getg1(Complex lbda)
ComplexMatrix2D	getg1Perp(Complex lbda)
void	getg2(Complex lbda)
ComplexMatrix2D	getg2Perp(Complex lbda)
void	getg3(Complex lbda)
ComplexMatrix2D	getg3Perp(Complex lbda)
ComplexMatrix2D	getgPerp(ComplexMatrix2D E, double sVal, Complex lbda, ComplexVector2D v)
ComplexMatrix2D	getgTilde(ComplexMatrix2D g, Complex lambda, double sVal)
ComplexMatrix2D	getNextE(ComplexMatrix2D En, ComplexMatrix2D En1, ComplexMatrix2D En2, ComplexMatrix2D proj, ComplexMatrix2D prPerp, double sVal)
ComplexMatrix2D	getNextE1(ComplexMatrix2D En, ComplexMatrix2D En1, ComplexMatrix2D En2, ComplexMatrix2D prPerp, ComplexMatrix2D prPerp1, double sVal)
ComplexMatrix2D	getProj(ComplexVector2D v)
ComplexMatrix2D	iterate1(double x, double t)
Vector3D	surfacePoint(double x, double t) The parametric equations that define the surface, given as a function from the uv-plane into R3.

Methods inherited from class vmm.surface.parametric.SurfaceParametric

addExtraXML, createData, deriv_u, deriv_v, gaussMap, getActionsForView, readExtraXML, removeView, surfaceNormal

Methods inherited from class vmm.surface.Surface

computeDrawData3D, doDraw3D, getBuildAnimation, getDefaultOrientation, getDefaultView, setDefaultOrientation

Methods inherited from class vmm.core3D.Exhibit3D

computeDrawDataHook, doDrawHook, getDefaultTransform, getDefaultViewpoint, getDefaultViewUp, setDefaultViewpoint, setDefaultViewUp

Methods inherited from class vmm.core.Exhibit

addChangeListener, addDecoration, addParameter, addView, clearDecorations, computeDrawData, doDraw, fireExhibitChangeEvent, forceRedraw, getAdditionalAnimationsForView, getAlternativeViews, getCreateAnimation, getDecorations, getDefaultBackground, getDefaultForeground, getDefaultWindow, getFramesForMorphing, getMorphingAnimation, getName, getParameterByName, getParameters, getSettingsCommandsForView, getTitle, getUseFilmstripForMorphing, getViews, parameterChanged, removeChangeListener, removeDecoration, removeParameter, render, setDefaultBackground, setDefaultForeground, setDefaultWindow, setDefaultWindow, setFramesForMorphing, setName, setUseFilmstripForMorphing, stateChanged

Methods inherited from class java.lang.Object

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

Field Detail

s

public RealParamAnimateable s

s1

public RealParamAnimateable s1

s2

public RealParamAnimateable s2

solitonNum

public int solitonNum

epsilon

public double epsilon

initVec

public ComplexVector2D initVec

initVec1

public ComplexVector2D initVec1

initVec2

public ComplexVector2D initVec2

E0

public ComplexMatrix2D E0

g1

public ComplexMatrix2D g1

g2

public ComplexMatrix2D g2

g3

public ComplexMatrix2D g3

E1

public ComplexMatrix2D E1

proj

public ComplexMatrix2D proj

proj1

public ComplexMatrix2D proj1

proj2

public ComplexMatrix2D proj2

projPerp

public ComplexMatrix2D projPerp

projPerp1

public ComplexMatrix2D projPerp1

projPerp2

public ComplexMatrix2D projPerp2

id

public ComplexMatrix2D id

g1Perp

public ComplexMatrix2D g1Perp

E

public ComplexMatrix2D[][] E

g

public ComplexMatrix2D[][] g

Constructor Detail

nSolitons

public nSolitons()

Method Detail

getProj

public ComplexMatrix2D getProj(ComplexVector2D v)

getg1

public void getg1(Complex lbda)

getg2

public void getg2(Complex lbda)

getg3

public void getg3(Complex lbda)

getE0

public void getE0(double x,
                  double t,
                  Complex lmbda)

getg1Perp

public ComplexMatrix2D getg1Perp(Complex lbda)

getg2Perp

public ComplexMatrix2D getg2Perp(Complex lbda)

getg3Perp

public ComplexMatrix2D getg3Perp(Complex lbda)

getgTilde

public ComplexMatrix2D getgTilde(ComplexMatrix2D g,
                                 Complex lambda,
                                 double sVal)

getgPerp

public ComplexMatrix2D getgPerp(ComplexMatrix2D E,
                                double sVal,
                                Complex lbda,
                                ComplexVector2D v)

getNextE

public ComplexMatrix2D getNextE(ComplexMatrix2D En,
                                ComplexMatrix2D En1,
                                ComplexMatrix2D En2,
                                ComplexMatrix2D proj,
                                ComplexMatrix2D prPerp,
                                double sVal)

getNextE1

public ComplexMatrix2D getNextE1(ComplexMatrix2D En,
                                 ComplexMatrix2D En1,
                                 ComplexMatrix2D En2,
                                 ComplexMatrix2D prPerp,
                                 ComplexMatrix2D prPerp1,
                                 double sVal)

firstSoliton

public ComplexMatrix2D firstSoliton(double x,
                                    double t)

afterFirstSol

public void afterFirstSol(double x,
                          double t)

iterate1

public ComplexMatrix2D iterate1(double x,
                                double t)

afterIterate1

public void afterIterate1(double x,
                          double t)

surfacePoint

public Vector3D surfacePoint(double x,
                             double t)

Description copied from class: SurfaceParametric

The parametric equations that define the surface, given as a function from the uv-plane into R3. The return value of this function can be null, indicating that the function is undefined for the given u and v.

Specified by:

surfacePoint in class SurfaceParametric