LACS2013_ParametricMode.java

//ParametricMode.java   MrG 2013.0521
public class ParametricMode
{
    private double xMin;
    private double xMax;
    private double xScl;
    private double yMin;
    private double yMax;
    private double yScl;

    public ParametricMode(double xMin, double xMax, double xScl, double yMin, double yMax, double yScl)
    {
        this.xMin=xMin;
        this.xMax=xMax;
        this.xScl=xScl;
        this.yMin=yMin;
        this.yMax=yMax;
        this.yScl=yScl;
    }

    public void axes()
    {
        StdDraw.setPenRadius(.005);
        StdDraw.line(0,yMin,0,yMax);
        StdDraw.line(xMin,0,xMax,0);
        StdDraw.text(xMax,-1,"x");
        StdDraw.text(1,yMax,"y");
    }

    public void grid()
    {
        StdDraw.setPenRadius(.001);
        StdDraw.setPenColor(StdDraw.BLUE);
        for(double x=xMin; x<=xMax; x+=xScl)
        {
            StdDraw.line(x,yMin,x,yMax);
        }
        for(double y=yMin; y<=yMax; y+=yScl)
        {
            StdDraw.line(xMin,y,xMax,y);
        }
    }

    public void plot()
    {
        StdDraw.setPenRadius(.001);
        StdDraw.setPenColor(StdDraw.GREEN);
        //0 100 10 0 300 10 wiley cyote
        //double t=0;
        //double x0 = 4*t;
        //double y0 = -16*t*t + 96*t + 112;
        //0 300 10 0 100 10 inverse wiley
        //double t=0;
        //double y0 = 4*t;
        //double x0 = -16*t*t + 96*t + 112;
        //-2 2 1 -2 2 1 apophos/miller
        //double t=0;
        //double x0 = -0.7;
        //double y0 = 1.0;
        //-4 4 1 -4 4 1 butterfly/lorentz
        double t=0;
        double x0=0;
        double y0=0;
        for(t=0; true; t+=0.05)
        {
            //0 100 10 0 300 10 wiley cyote
            //double x = 4*t;
            //double y = -16*t*t + 96*t + 112;
            //0 300 10 0 100 10 inverse wiley
            //double y = 4*t;
            //double x = -16*t*t + 96*t + 112;
            //-2 2 1 -2 2 1 apophos
            //double x = Math.sin(0.99*t)-0.7*Math.cos(3.01*t);
            //double y = Math.cos(1.01*t)+0.1*Math.sin(15.03*t);
            //-4 4 1 -4 4 1 butterfly/lorentz
            double r=Math.exp(Math.cos(t))-2*Math.cos(4*t)+Math.pow(Math.sin(t/12),5);
            double x=r*Math.cos(t);
            double y=r*Math.sin(t);
            StdDraw.line(x0,y0,x,y);
            x0=x;
            y0=y;
        }
    }
}