/* This file is part of the source code for 3D-XplorMath-J, Version 1.0 (January 2008). * Copyright (c) 2008 The 3D-XplorMath Consortium (http://3d-xplormath.org). * This source code is released under a BSD License, which allows redistribution * in source and binary form, with or without modification, provided copyright * and license information are included, and with no warranty or guarantee of * any kind. For details, see http://3d-xplormath.org/j/source/BSDLicense.txt */ package vmm.planecurve.parametric; import java.awt.Color; import java.awt.Graphics2D; import java.awt.geom.Ellipse2D; import java.awt.geom.Line2D; import vmm.core.RealParamAnimateable; import vmm.core.Transform; import vmm.core.View; /** * Defines a parametric Cissoid . */ public class Cissoid extends DecoratedCurve { private RealParamAnimateable aa; private int pointCount; double a; public Cissoid() { tResolution.setValueAndDefault(395); aa = new RealParamAnimateable("aa", 1, 2, 0.5); addParameter(aa); tmin.setValueAndDefault(-4.5); // Adjust inherited parameters tmax.setValueAndDefaultFromString("4.5"); setDefaultWindow(-4,4,-4,4); // Adjust requested range of restricted x- and y-values pointCount = 12000; randomSquare = fillRandomSquare(pointCount); // initializes the fixed set of random points movingSquare = initializeMovingSquare(pointCount); // Completely initialize the array movingSquare } /** * Define the x-coordinate function x(t) = 2 aa t^3/(1 + t^2) for the curve. */ public double xValue(double t) { return t * yValue(t); } /** * Define the y-coordinate function y(t) = 2 aa t^2/(1 + t^2) for the curve. */ public double yValue(double t) { a = aa.getValue(); return 2* a * t * t/(1 + t * t ) ; } public View getDefaultView() { MMOView view = (MMOView)super.getDefaultView(); view.simplifyActionMenu = false; // "true" removes ToggleAction from Menu view.setUseCloud(false); // sets ToggleAction initially to the simpler version return view; } double xa, ya, xco, yco, aux, rotx, roty, tx, ty, nn, ex, ey, dt; /** * t-dependent abbreviations for drawNeededStuff */ private void abbreviations(double t){ a = aa.getValue(); xa = xValue(t); ya = yValue(t); aux = Math.sqrt(ya*(2*a-ya)); xco= xa - Math.signum(xa)*aux; yco = 2*ya -a; rotx = xa + Math.signum(xa)*aux; roty = -a -rotx*xco/(yco+a); ex = xco - rotx; ey = yco - a; //nn = Math.sqrt(ex*ex+ey*ey); tx = -roty + ya; ty = +rotx - xa; dt = (tmax.getValue()-tmin.getValue())/tResolution.getValue(); } @Override protected void drawNeededStuff(Graphics2D g, View view, Transform limits, double t) { MMOView myView = (MMOView)view; setStrokeSize(2); Color saveColor = g.getColor(); abbreviations(t); g.setColor(Color.red); myView.setStrokeSizeMultiplier(1); g.draw(new Line2D.Double(-10,a, 10,a)); g.draw(new Line2D.Double(0,-a, -10*xco/(yco+a),-10)); myView.setStrokeSizeMultiplier(3); g.draw(new Line2D.Double(0,-a, xco,yco)); // from rotation point of hinge to corner g.draw(new Line2D.Double(xco,yco, rotx,a)); myView.setStrokeSizeMultiplier(2); g.draw(new Ellipse2D.Double(rotx-.04,a-0.04,0.08,0.08)); g.draw(new Ellipse2D.Double(-0.06,-a-0.06,0.12,0.12)); g.setColor(Color.green); g.draw(new Ellipse2D.Double(xa-.06,ya-0.06,0.12,0.12)); if (myView.getUseCloud()){ // boolean useCloud is changed in the ToggleAction myView.setStrokeSizeMultiplier(1); g.draw(new Line2D.Double(rotx,roty, rotx,a)); g.draw(new Line2D.Double(rotx,roty, 0,-a)); g.setColor(Color.blue); g.draw(new Line2D.Double(rotx,roty, xa, ya)); g.draw(new Line2D.Double(xa+tx,ya+ty, xa-tx, ya-ty)); g.draw(new Ellipse2D.Double(rotx-.06, roty-0.06, 0.12,0.12)); abbreviations(t-dt); movingSquare = moveSquare(pointCount, xa, ya, ex, ey, 3*a); myView.drawPixels(movingSquare, 0, pointCount); abbreviations(t+dt); movingSquare = moveSquare(pointCount, xa, ya, ex, ey, 3*a); myView.drawPixels(movingSquare, 0, pointCount); } g.setColor(saveColor); } }