JAVA Create an applet/GUI to draw a graph of a function gine in cartesian or par

Question

JAVA

Create an applet/GUI to draw a graph of a function gine in cartesian or parametric cordinates. You need to draw n line segments joining the successive points (x, f(x)) and (x+d, f(x+d)) (or two points (x(t), y(t)) and (x(t+d)y(t+d)) if using parametric coordinates). Experiment with the values of n = 10,25,50,100,200 to make the best choice. Draw the graphs of the following three functions:

a) f(x) = x3 + x - 3 on the interval [0,4]
b) g(x) = x3 /100 - x + 10 on the interval [-10,10]
c) "The four-leaved rose" whose equation in polar coordinates is r=cos2x with 0 < x < 2pi

any source code or pseucode would help

Explanation / Answer

import java.awt.*;                
import java.applet.*;             

public class plot_function extends Applet  
{
    int txmi,tymi,txma,tyma;  
    double xmi,ymi,xma,yma;  
    double deltax;                    
   
   
    public void init(){
        xmi=-8;xma=8;ymi=-5;yma=5;
        txmi=0;txma=500;tymi=0;tyma=500;
        deltax=0.1;
    }
   
    public void paint(Graphics g1){            
        double a,b,c,d;          
  
        //set the backgroud color
        g1.setColor(new Color(0, 150, 180));
        g1.fillRect(txmi,tymi,txma-txmi,tyma-tymi);
   
        // creating the coordinates
        g1.setColor(Color.green);
        Line(g1,0,ymi,0,yma);
        Line(g,xmi,0,xma,0);
   
        //drawing the graph
        g1.setColor(Color.black);    
        x2=xmi;y2=funct(x2);
        for(x1=xmi;x1<=xma;x1=x1+deltax)

{
            y1=funct(x1);
            Line(g1,x1,y1,x2,y2);
            x2=x1;y2=y1;
         }
    }

   
    public int createmapX(double x){
        int sx;
        sx= txmi+(int)((x-xmi)/(xma-xmi)*(double)(txma-txmi)) ;
        return sx;
    }
    public int createmapY(double y){
        int sy;
        sy=tymi+(int)((yma-y)/(yma-ymi)*(double)(tyma-tymi));
        return sy;
    }
   
  
    public void Line(Graphics g1,double x1,double y1,double x2,double y2){
        g1.drawLine(createmapX(x1),createmapY(y1),createmapX(x2),createmapY(y2));
    }
  
    public double funct(double x){
        double y;
        y=x*x;
        return y;
    }
}

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