vgp.minimal.weier
Class PgWeierstrass

java.lang.Object
  |
  +--jv.object.PsObject
        |
        +--jv.project.PgGeometry
              |
              +--jv.geom.PgPointSet
                    |
                    +--jv.geom.PgElementSet
                          |
                          +--vgp.minimal.weier.PgWeierstrass

All Implemented Interfaces:

java.lang.Cloneable, PgGeometryIf, PsUpdateIf, java.io.Serializable

public class PgWeierstrass

extends PgElementSet

Class for computing minimal surfaces from Weierstrass functions.

Version:

19.10.00, 1.20 revised (ur) Show marked boundary for reflections by vertex tag.
06.10.99, 1.01 revised (ur) Compute connectivity anew after call of PgElementSet.close with next update.
01.06.99, 1.00 created (ur).

Author:

Ulrich Reitebuch

See Also:

Serialized Form

Field Summary

protected PiVector	indexNumber
protected boolean	m_bGenerateSurfaceNew
protected PiVector	m_bndBelongsToPart
protected PiVector	m_bndReflectType
protected PgWeierstrassDescr	m_descr
protected PgPointSet	m_imSet
protected int	m_numBnd
protected int	m_numParts
protected PiVector	m_partBndNr
protected PgPointSet	m_reSet
protected int	m_sumPartElements
protected int	m_sumPartVertices
protected int	m_sumVertices
protected java.lang.String	m_surfaceName
protected int	m_vertDim
protected PiVector	startInd

Fields inherited from class jv.geom.PgElementSet

m_bConforming, m_bndList, m_bShowBackface, m_bShowBoundaries, m_bShowEdgeColors, m_bShowEdgeLabels, m_bShowEdges, m_bShowElementBackColor, m_bShowElementBackColors, m_bShowElementColors, m_bShowElementLabels, m_bShowElementNormalArrow, m_bShowElementNormals, m_bShowElements, m_bShowElementTexture, m_bShowOutline, m_bShowTaggedBoundaries, m_bShowTaggedEdges, m_bShowTaggedElements, m_dimOfElements, m_edge, m_edgeColor, m_element, m_elementBackColor, m_elementColor, m_elementNormal, m_elementSaved, m_elementTexture, m_globalBndColor, m_globalBndSize, m_globalBndTagColor, m_globalEdgeColor, m_globalEdgeSize, m_globalEdgeTagColor, m_globalElementBackColor, m_globalElementColor, m_globalElementNormalColor, m_globalElementNormalLength, m_globalElementNormalSize, m_globalElementTagColor, m_maxNumElements, m_neighbour, m_numEdges, m_numElements, m_savedNumVertices

Fields inherited from class jv.geom.PgPointSet

m_bDefaultLabelEnabled, m_bShowIndices, m_bShowTaggedVertices, m_bShowTransparency, m_bShowVectorArrow, m_bShowVectorColors, m_bShowVectorFields, m_bShowVertexColors, m_bShowVertexLabels, m_bShowVertexNormalArrow, m_bShowVertexNormals, m_bShowVertexTexture, m_bShowVertices, m_dimOfColors, m_dimOfTextures, m_dimOfVectors, m_globalVectorColor, m_globalVectorLength, m_globalVectorSize, m_globalVertexColor, m_globalVertexNormalColor, m_globalVertexNormalLength, m_globalVertexNormalSize, m_globalVertexSize, m_globalVertexTagColor, m_maxNumVertices, m_numVectorFields, m_numVertices, m_texture, m_transparency, m_vectorField, m_vertex, m_vertexColor, m_vertexNormal, m_vertexTexture

Fields inherited from class jv.project.PgGeometry

m_ambientProj, m_ambientSpace, m_authorInfo, m_bShowBndBox, m_bShowCenter, m_bShowing, m_bShowTitle, m_center, m_dim, m_dimOfSimplex, m_displayList, m_geometryInfo, m_labelAttribute, m_methodMenu, m_modelMatrix, m_title, m_version, m_versionType

Fields inherited from class jv.object.PsObject

HAS_CONFIG_PANEL, HAS_INFO_PANEL, HAS_MATERIAL_PANEL, INSPECTOR_INFO, INSPECTOR_INFO_EXT, IS_DELETED, IS_FIXED, IS_SELECTED, IS_USED, m_infoPanel, m_name, m_panelList, m_parent, m_tag, m_updateList, NUM_TAGS

Fields inherited from interface jv.project.PgGeometryIf

AMBIENT_H3_HYPERBOLIC, AMBIENT_PROJECTIONS, AMBIENT_R3_EUCLIDEAN, AMBIENT_R4_EUCLIDEAN, AMBIENT_S3_SPHERE, AMBIENT_SPACES, INSPECTOR_CONTROL, INSPECTOR_CONTROL_EXT, INSPECTOR_MATERIAL, INSPECTOR_MATERIAL_EXT, LABEL_BASE, LABEL_CENTER, LABEL_HEAD, LABEL_MIDDLE, LABEL_TAIL, LABEL_TOP, METHOD_EXT, PROJ_KLEIN_BALL, PROJ_PARALLEL, PROJ_POINCARE_BALL, PROJ_STEREOGRAPHIC, PROJ_UPPER_HALFSPACE

Constructor Summary

PgWeierstrass(int aVertexDim)
Constructor

Method Summary

PuComplex[]	cIntegrate(PiVector partPath, int partNr, PuComplex zzStart, PuComplex zzEnd, PuComplex[] FStart, int discr) Complex integration by Riemann-summation.
boolean	close() Connectivity of the surface must be generated anew before call of PgElementSet.close().
void	computePart(PgWeierstrassDescr descr, PiVector partPath, int partNr, PuComplex[] fStart) Compute 3d-data Re & Im in a part by complex integration.
void	computePartReflection(int partNr) Get 3d-data Re & Im from an other part by reflection.
void	computeSurface(PgWeierstrassDescr descr) Copy 3d-data Re & Im from Re & Im in the parts of the surface.
void	computeSurface(PgWeierstrassDescr descr, PiVector partPath) Copy 3d-data Re & Im from Re & Im in the parts of the surface.
void	computeVertices(PgWeierstrassDescr descr) Compute 3d-points of the surface from Re & Im data.
void	generatePart(PgWeierstrassDescr descr, PiVector partPath, int partNr) Generate connectivity of one part of the surface by ElementSet.makeQuadrConn.
void	generatePartReflection(int partNr) Generate connectivity of one part of the surface by reflecting an existing part.
void	generateSurface(PgWeierstrassDescr descr) Generate connectivity of ElementSet by copying parts to one ElementSet.
void	generateSurface(PgWeierstrassDescr descr, PiVector partPath) Generate connectivity of ElementSet by copying parts to one ElementSet.
PgWeierstrassDescr	getDescr() Return surface descriptor.
void	init() Initialisation
void	markBnd(int ElementInd) Find boundary polygon touching element with given index.
void	setDescr(PgWeierstrassDescr descr) Set surface descriptor.
boolean	setSurfaceName(java.lang.String aSurface, java.lang.String baseSurfaceName) Find descriptor with given surfaceName.
boolean	showMarkedBnd() Select vertices of choosen boundary polygon.
boolean	update(java.lang.Object event) Update the class whenever a child has changed.

Methods inherited from class jv.geom.PgElementSet

addEdge, addElement, addElement, assureBoundary, assureDimOfElements, assureEdgeColors, assureElementBackColors, assureElementColors, assureElementNormals, assureElementTextures, assureNeighbours, blend, buildPolygon, buildPolygonFromCurve, buildQuadr, buildQuadrFromCurve, buildTriangle, buildTriangleFromCurve, checkNeighbour, clearTagElement, clone, computeCylinder, computeDisk, computePlane, computeRotation, computeSnail, computeSphere, computeTorus, copy, copyConnectivity, copyElementSet, fixBoundaries, flipEdges, flipOrientation, getArea, getAreaOfElement, getBoundaries, getDimOfElements, getEdge, getEdge, getEdgeColors, getEdgeLength, getEdgeList, getEdges, getElement, getElementBackColor, getElementBackColors, getElementColor, getElementColors, getElementNormal, getElementNormals, getElements, getElementTextures, getElementVertices, getElementWithVertex, getGlobalBndColor, getGlobalBndSize, getGlobalBndTagColor, getGlobalEdgeColor, getGlobalEdgeSize, getGlobalEdgeTagColor, getGlobalElementBackColor, getGlobalElementColor, getGlobalElementNormalColor, getGlobalElementNormalLength, getGlobalElementNormalSize, getGlobalElementTagColor, getJvx, getL2Matrix, getL2Norm, getMaxNumElements, getNeighbour, getNeighbourLocInd, getNeighbours, getNumBoundaries, getNumBoundaryComponents, getNumBoundaryEdges, getNumBoundaryVertices, getNumEdges, getNumElements, getOppVertexInd, getOppVertexLocInd, getSavedElements, getSavedNumVertices, getVertexAngle, getVolume, getVolumeOfElement, hasBoundary, hasEdgeColors, hasEdges, hasElementColors, hasElementNormals, hasElementTextures, hasTagElement, intersectionWithLine, isConforming, isShowingBackface, isShowingBoundaries, isShowingEdgeColors, isShowingEdgeLabels, isShowingEdges, isShowingElementBackColor, isShowingElementBackColors, isShowingElementColors, isShowingElementLabels, isShowingElementNormalArrow, isShowingElementNormals, isShowingElements, isShowingElementTextures, isShowingOutline, isShowingTaggedBoundaries, isShowingTaggedEdges, isShowingTaggedElements, makeAlternatingQuadrConn, makeCylinderConn, makeElementColorsFromXYZ, makeElementColorsFromZ, makeElementColorsFromZHue, makeElementNormals, makeNeighbour, makePatchConn, makeQuadrBnd, makeQuadrConn, makeQuadrElementTexture, makeQuadrVertexTexture, makeTriangleBnd, makeTriangleConn, makeVertexNormals, markBoundary, merge, paint, printEdgeList, refineGlobalIntoFour, reflect, removeBoundaries, removeElement, removeMarkedElements, removeMarkedVertices, removeUnusedVertices, setBoundary, setConforming, setDimOfColors, setDimOfElement, setDimOfElements, setDimOfVectors, setEdge, setEdgeColors, setEdges, setElement, setElement, setElement, setElement, setElementBackColor, setElementBackColors, setElementColor, setElementColors, setElementNormal, setElementNormals, setElements, setElementTexture, setElementTextures, setElementVertices, setGlobalBndColor, setGlobalBndSize, setGlobalBndTagColor, setGlobalEdgeColor, setGlobalEdgeSize, setGlobalEdgeTagColor, setGlobalElementBackColor, setGlobalElementColor, setGlobalElementNormalColor, setGlobalElementNormalLength, setGlobalElementNormalSize, setGlobalElementTagColor, setJvx, setMaxNumElements, setNeighbours, setNumEdges, setNumElements, setSavedElements, setSavedNumVertices, setTagElement, showBackface, showBoundaries, showEdgeColors, showEdgeLabels, showEdges, showElementBackColor, showElementBackColors, showElementColors, showElementLabels, showElementNormalArrow, showElementNormals, showElements, showElementTexture, showOutline, showTaggedBoundaries, showTaggedEdges, showTaggedElements, toString, triangulate

Methods inherited from class jv.geom.PgPointSet

addVectorField, addVertex, assureVertexColors, assureVertexNormals, assureVertexTextures, clearTagVertex, getBounds, getCenterOfBndBox, getCenterOfGravity, getDimOfColors, getDimOfTextures, getDimOfVectors, getGlobalVectorColor, getGlobalVectorLength, getGlobalVectorSize, getGlobalVertexColor, getGlobalVertexNormalColor, getGlobalVertexNormalLength, getGlobalVertexNormalSize, getGlobalVertexSize, getGlobalVertexTagColor, getIndexOfVectorField, getMaxNumVertices, getNumVectorFields, getNumVertices, getTexture, getTextureImage, getTextureImageName, getVectorField, getVectorField, getVectorField, getVertex, getVertexColor, getVertexColors, getVertexNormal, getVertexNormals, getVertexTextures, getVertices, hasTagVertex, hasVertex, hasVertex, hasVertexColors, hasVertexNormals, hasVertexTextures, isDefaultLabelEnabled, isShowingIndices, isShowingTaggedVertices, isShowingVectorArrow, isShowingVectorColors, isShowingVectorField, isShowingVertexColors, isShowingVertexLabels, isShowingVertexNormalArrow, isShowingVertexNormals, isShowingVertexTexture, isShowingVertices, makeColorFromVectorLength, makeVertexColorsFromXYZ, makeVertexColorsFromZ, makeVertexColorsFromZHue, makeVertexTextureFromBndBox, projectToSphere, removeAllVectorFields, removeVectorField, removeVertex, scale, scale, setCenterOfBndBox, setDefaultLabelEnabled, setDimOfTextures, setGlobalVectorColor, setGlobalVectorLength, setGlobalVectorSize, setGlobalVertexColor, setGlobalVertexNormalColor, setGlobalVertexNormalLength, setGlobalVertexNormalSize, setGlobalVertexSize, setGlobalVertexTagColor, setMaxNumVertices, setNumVertices, setTagVertex, setTexture, setTextureImage, setTextureImageName, setTransparency, setVertex, setVertex, setVertex, setVertex, setVertexColor, setVertexColors, setVertexNormal, setVertexNormals, setVertexTextures, setVertices, showIndices, showTaggedVertices, showVectorArrow, showVectorColors, showVectorField, showVertexColors, showVertexLabels, showVertexNormalArrow, showVertexNormals, showVertexTexture, showVertices, translate

Methods inherited from class jv.project.PgGeometry

addDisplay, addPolygon, clearTagPolygon, fillMethodMenu, getAmbientProjection, getAmbientSpace, getAuthorInfo, getAuthors, getCenter, getCenterOfElement, getControlPanel, getDiameter, getDimOfSimplex, getDimOfVertices, getDisplays, getGeometryInfo, getLabelAttribute, getMaterialPanel, getModelMatrix, getPolygon, getTitle, getVersion, getVersionType, hasDisplay, hasModelMatrix, hasTagPolygon, isConfigurable, isShowingBndBox, isShowingCenter, isShowingTitle, isVisible, removeDisplay, removePolygon, setAmbientProjection, setAmbientSpace, setAuthorInfo, setAuthors, setCenter, setDimOfSimplex, setGeometryInfo, setLabelAttribute, setLabelAttribute, setModelMatrix, setPolygon, setTagPolygon, setTitle, setVersion, setVersionType, setVisible, showBndBox, showCenter, showTitle

Methods inherited from class jv.object.PsObject

addInspector, addUpdateListener, clearTag, clone, clone, copy, getFather, getInfoPanel, getInspector, getName, getNumObjects, hasInspector, hasTag, hasUpdateListener, instanceOf, instanceOf, removeInspector, removeUpdateListener, setName, setParent, setTag, updatePanels

Methods inherited from class java.lang.Object

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

Methods inherited from interface jv.project.PgGeometryIf

getInfoPanel, getName, setName

Methods inherited from interface jv.object.PsUpdateIf

getFather, setParent

Field Detail

m_descr

protected PgWeierstrassDescr m_descr

m_surfaceName

protected java.lang.String m_surfaceName

m_reSet

protected PgPointSet m_reSet

m_imSet

protected PgPointSet m_imSet

indexNumber

protected PiVector indexNumber

startInd

protected PiVector startInd

m_sumVertices

protected int m_sumVertices

m_sumPartVertices

protected int m_sumPartVertices

m_sumPartElements

protected int m_sumPartElements

m_numParts

protected int m_numParts

m_vertDim

protected int m_vertDim

m_numBnd

protected int m_numBnd

m_bndReflectType

protected PiVector m_bndReflectType

m_bndBelongsToPart

protected PiVector m_bndBelongsToPart

m_partBndNr

protected PiVector m_partBndNr

m_bGenerateSurfaceNew

protected boolean m_bGenerateSurfaceNew

Constructor Detail

PgWeierstrass

public PgWeierstrass(int aVertexDim)

Constructor

Method Detail

init

public void init()

Initialisation

Overrides:

init in class PgElementSet

update

public boolean update(java.lang.Object event)

Update the class whenever a child has changed. Method is usually invoked from the children.

Overrides:

update in class PgElementSet

Following copied from interface: jv.object.PsUpdateIf

Parameters:

event - carries a lot of information

Returns:

true if event has been handled, otherwise false

See Also:

PsObject, PsUpdateIf.getFather(), PsUpdateIf.setParent(PsUpdateIf)

setSurfaceName

public boolean setSurfaceName(java.lang.String aSurface,
                              java.lang.String baseSurfaceName)

Find descriptor with given surfaceName.

setDescr

public void setDescr(PgWeierstrassDescr descr)

Set surface descriptor.

getDescr

public PgWeierstrassDescr getDescr()

Return surface descriptor.

generateSurface

public void generateSurface(PgWeierstrassDescr descr)

Generate connectivity of ElementSet by copying parts to one ElementSet.

generateSurface

public void generateSurface(PgWeierstrassDescr descr,
                            PiVector partPath)

Generate connectivity of ElementSet by copying parts to one ElementSet.

generatePart

public void generatePart(PgWeierstrassDescr descr,
                         PiVector partPath,
                         int partNr)

Generate connectivity of one part of the surface by ElementSet.makeQuadrConn.

generatePartReflection

public void generatePartReflection(int partNr)

Generate connectivity of one part of the surface by reflecting an existing part.

computeSurface

public void computeSurface(PgWeierstrassDescr descr)

Copy 3d-data Re & Im from Re & Im in the parts of the surface.

computeSurface

public void computeSurface(PgWeierstrassDescr descr,
                           PiVector partPath)

Copy 3d-data Re & Im from Re & Im in the parts of the surface.

computeVertices

public void computeVertices(PgWeierstrassDescr descr)

Compute 3d-points of the surface from Re & Im data.

computePart

public void computePart(PgWeierstrassDescr descr,
                        PiVector partPath,
                        int partNr,
                        PuComplex[] fStart)

Compute 3d-data Re & Im in a part by complex integration.

cIntegrate

public PuComplex[] cIntegrate(PiVector partPath,
                              int partNr,
                              PuComplex zzStart,
                              PuComplex zzEnd,
                              PuComplex[] FStart,
                              int discr)

Complex integration by Riemann-summation.

computePartReflection

public void computePartReflection(int partNr)

Get 3d-data Re & Im from an other part by reflection.

showMarkedBnd

public boolean showMarkedBnd()

Select vertices of choosen boundary polygon.

markBnd

public void markBnd(int ElementInd)

Find boundary polygon touching element with given index.

close

public boolean close()

Connectivity of the surface must be generated anew before call of PgElementSet.close().

Overrides:

close in class PgElementSet

See Also:

PgElementSet.close()