vmm.conformalmap
Class Weierstrass_p

java.lang.Object
  vmm.core.Exhibit
      vmm.core3D.Exhibit3D
          vmm.conformalmap.ConformalMap
              vmm.conformalmap.Weierstrass_p

All Implemented Interfaces:

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

public class Weierstrass_p
extends ConformalMap

Nested Class Summary

Nested classes/interfaces inherited from class vmm.conformalmap.ConformalMap

ConformalMap.ConformalMapView

Field Summary

Fields inherited from class vmm.conformalmap.ConformalMap

argumentGrid, CARTESIAN, FRACTIONAL, gridTypeSelect, IDENTITY, INVERSION, POINTS_PER_INTERVAL, pointsOnCircleFigure, pointsOnLineFigure, pointsOnLineSegmentFigure, POLAR, POLARCONFORMAL, SQRROOT, umax, umin, ures, valueGrid, vmax, vmin, vres

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

Weierstrass_p()

Method Summary

protected void	computeDrawData3D(View3D view, boolean exhibitNeedsRedraw, Transform3D previousTransform3D, Transform3D newTransform3D) Overridden to compute half of the data as a transformation of the data for the first half.
protected void	doDraw3D(java.awt.Graphics2D g, View3D view, Transform3D transform) This is overridded to draw the two halves of the data separately, only one of them in color.
protected Complex	function(Complex argument) The function that is to be graphed, to be supplied by any concrete subclass.
protected Complex	gridMap(double u, double v) Finds the input grid point corresponding to (u,v).

Methods inherited from class vmm.conformalmap.ConformalMap

addExtraXML, composedFunction, getActionsForView, getCreateAnimation, getDefaultView, getDefaultWindow2D, getGridType, getPostCompFunction, getPreCompFunction, readExtraXML, resetGridType, setDefaultWindow2D, setDefaultWindow2D, setGridType, setPostCompFunction, setPreCompFunction

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, getBuildAnimation, getDecorations, getDefaultBackground, getDefaultForeground, getDefaultWindow, getFramesForMorphing, getMorphingAnimation, getName, getParameterByName, getParameters, getSettingsCommandsForView, getTitle, getUseFilmstripForMorphing, getViews, parameterChanged, removeChangeListener, removeDecoration, removeParameter, removeView, 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

Constructor Detail

Weierstrass_p

public Weierstrass_p()

Method Detail

computeDrawData3D

protected void computeDrawData3D(View3D view,
                                 boolean exhibitNeedsRedraw,
                                 Transform3D previousTransform3D,
                                 Transform3D newTransform3D)

Overridden to compute half of the data as a transformation of the data for the first half. The first half of the data is computed by solving an ODE, stepping through the array. The second half is then computed from the first half by a symmetry of the function, and is stored in a separate set of value/argument arrays.

Overrides:

computeDrawData3D in class ConformalMap

Parameters:

view - the 3D View where the Exhibit is about to be drawn.

exhibitNeedsRedraw - if true, then something about the Exhibit has changed that probably requires recomputation of cached data. For example, this is set to true when one of the Parameters of the Exhibit has changed since the previous redraw.

previousTransform3D - the Transform3D that was used the last time this exhibit was drawn. This can be null, if this is the first time that the Exhibit is being drawn (in 3D).

newTransform3D - the transform that will be used to draw the Exhibit during the current drawing operation. This parameter and the previousTransform3D parameter are provided so that the Exhbit can detect those rare cases where cached data exists that depends on the transform. Most Exhibits will just ignore the transform parameters.

doDraw3D

protected void doDraw3D(java.awt.Graphics2D g,
                        View3D view,
                        Transform3D transform)

This is overridded to draw the two halves of the data separately, only one of them in color. The colored part is where the ODE is solved, the other part needs a few extra lines. This is done by calling super.doDraw3D() twice, and swapping in the second half of the data before calling it the second time.

Overrides:

doDraw3D in class ConformalMap

Parameters:

g - the graphics context where the exhibit is being drawn.

view - The View3D in which the exhibit is being drawn. In general, it is advisable to use the view for all drawing operations.

transform - The transform that is being used to draw the exhibit.

gridMap

protected Complex gridMap(double u,
                          double v)

Description copied from class: ConformalMap

Finds the input grid point corresponding to (u,v). For a Cartesian grid, this is just (u,v) itself. For a polar grid, it is (u*cos(v),u*sin(v)). For a polar conformal grid, it is (exp(u)*cos(v),exp(u)*sin(v)) which is the same as exp(u+iv).

Overrides:

gridMap in class ConformalMap

function

protected Complex function(Complex argument)

Description copied from class: ConformalMap

The function that is to be graphed, to be supplied by any concrete subclass.

Specified by:

function in class ConformalMap