/* 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 vmm3d.planecurve.parametric;
public class Epizykloide {
}
*/
package vmm3d.planecurve.parametric;
import java.awt.Color;
import org.freehep.graphics2d.VectorGraphics;
import java.awt.geom.Ellipse2D;
import java.awt.geom.Line2D;
import vmm3d.core.RealParamAnimateable;
import vmm3d.core.Transform;
import vmm3d.core.View;
/**
* Defines parametric Epi- and Hypo- Cycloids. Sign of frequ determins Epi:+ and Hypo:-
* Shows rolling wheel and tangent construction.
*/
public class Epizykloide extends DecoratedCurve {
private RealParamAnimateable radius;
private RealParamAnimateable frequ;
private RealParamAnimateable stick;
private int pointCount;
public Epizykloide() {
tResolution.setValueAndDefault(300);
radius = new RealParamAnimateable("vmm3d.planecurve.parametric.Epizykloide.radius", 3.0, 1.5, 4);
frequ = new RealParamAnimateable("vmm3d.planecurve.parametric.Epizykloide.frequency", 4, 1, 8);
stick = new RealParamAnimateable("vmm3d.planecurve.parametric.Epizykloide.stick", 2, 0.3, 2);
addParameter(radius);
addParameter(frequ);
addParameter(stick);
tmin.setValueAndDefaultFromString("0"); // Adjust inherited parameters
tmax.setValueAndDefaultFromString("2*pi");
tResolution.setValueAndDefaultFromString("500");
setDefaultWindow(-5,5,-5,5); // Adjust requested range of restricted x- and y-values
pointCount = 6600;
randomSquare = fillRandomSquare(pointCount); // initializes the fixed set of random points
movingSquare = initializeMovingSquare(pointCount); // Completely initialize the array movingSquare
}
private double r, fr, l, rr, rrabs, dt;
private void setConstants(){
r = radius.getValue();
fr = frequ.getValue();
l = stick.getValue();
rr = r/fr;
rrabs=Math.abs(rr);
dt = (tmax.getValue()-tmin.getValue())/tResolution.getValue();
}
private static double sin(double t) {return Math.sin(t);}
private static double cos(double t) {return Math.cos(t);}
/**
* Define the x-coordinate function x(t) = l*rr*cos(fr*t) + r*cos(t) for the curve.
*/
public double xValue(double t) {
setConstants();
return l*rr*cos(fr*t) + r*cos(t);
}
/**
* Define the y-coordinate function y(t) = l*rr*sin(fr*t) + r*sin(t) for the curve.
*/
public double yValue(double t) {
//setConstants();
return l*rr*sin(fr*t) + r*sin(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;
}
/**
* t-dependent abbreviations for drawNeededStuff
*/
double xa, ya, ftx, fty, fox, foy, tx, ty, nn, ex, ey, aux;
private void abbreviations(double t){
xa = xValue(t); // r*cos(t) +l*rr*cos(fr*t);
ya = yValue(t); // r*sin(t)+l*rr*sin(fr*t);
ftx= (r-rr)*cos(t);
fty= (r-rr)*sin(t);
tx = 2*( ya - fty);
ty = 2*(-xa + ftx);
ex = cos(fr*t);
ey = sin(fr*t);
//nn = Math.sqrt(ex*ex+ey*ey);
aux= Math.abs(r-rr);}
/**
* This drawNeededStuff contains two different startup animations.
*/
protected void drawNeededStuff (org.freehep.graphics2d.VectorGraphics g, View view, Transform limits, double t){
MMOView myView = (MMOView)view;
Color saveColor = g.getColor();
abbreviations(t);
fox = ftx; foy = fty;
g.draw(new Ellipse2D.Double(-aux,-aux,2*aux,2*aux));//circle, on which the small circle runs
g.setColor(Color.red); // for the running circle
myView.setStrokeSizeMultiplier(3);
g.draw(new Ellipse2D.Double(r*cos(t)-rrabs,r*sin(t)-rrabs,2*rrabs,2*rrabs));
g.setColor(Color.green); //for stick
g.draw(new Line2D.Double(r*cos(t), r*sin(t), xa, ya));
g.setColor(new Color(0,0,0)); // stick point
g.draw(new Line2D.Double(r*cos(t)+0.9*l*rr*cos(fr*t), r*sin(t)+0.9*l*rr*sin(fr*t), xa, ya));
myView.setStrokeSizeMultiplier(1);
g.setColor(new Color(0,150,0)); // tangent
g.draw(new Line2D.Double(ftx, fty, xa, ya));
g.draw(new Line2D.Double(xa-tx, ya-ty, xa+tx, ya+ty));
if (myView.getUseCloud()){ // boolean useCloud is changed in the ToggleAction
g.setColor(Color.blue);
abbreviations(t-dt);
movingSquare = moveSquare(pointCount, xa, ya, ex, ey, 2*r);
myView.drawPixels(movingSquare, 0, pointCount);
abbreviations(t+dt);
movingSquare = moveSquare(pointCount, xa, ya, ex, ey, 2*r);
myView.drawPixels(movingSquare, 0, pointCount);
}
g.setColor(saveColor);
}
}
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