//
//  hyperbolaGraph.java
//  hyperbolaGraph
//
//  Created by Chris Thiel on Tue Apr 22 2003.
//  added focii 23 mar 2004
//  Copyright (c) 2003 Chris Thiel. 
//  Free for Educational Use (with permission). All rights reserved.
//  A simple Java applet (500 x 300)
//

import java.awt.*;
import java.awt.event.*;
import java.applet.*;
import java.lang.*;

public class hyperbolaGraph extends Applet implements MouseMotionListener  {

    static final String message = "Hello World!";
    static final int S3_LOCATION =475;
    static final int S2_LOCATION =425;
    static final int S1_LOCATION =375;
    static final int SLIDER_LENGTH = 200;
    static final int SLIDER_TOP=90;
    int SLIDER_BOTTOM=SLIDER_TOP+SLIDER_LENGTH;

    private Font font = new Font("sansserif", Font.ITALIC + Font.BOLD, 12);
    int a,b,c,ax, ay, bx, by, cx, cy,j;
    double sx, sy, fociX, fociY;
    int [] side1x,side1y, side2x, side2y;
    
    public void init() {
        setLayout (null);
        this.setBackground(new Color(0xFFEEAA));
        addMouseMotionListener(this);
        a=1; b=1; c=1;
        side1x = new int[25];
        side1y = new int[25];
        side2x = new int[25];
        side2y = new int[25];
        ax=S1_LOCATION; 
        ay=SLIDER_TOP+99;
        bx=S2_LOCATION; 
        by=SLIDER_TOP+99;
        cx=S3_LOCATION; 
        cy=SLIDER_TOP+99;
    }
    private double f(double x){
        return Math.sqrt(b*c-b*x*x/a);
    }
    private int screenX (double x){
        return (int)(160+10*x+20); //converts -15<x<15 to screen coords
    }
    private int screenY (double y){
        return (int)(150-10*y+10); //converts -15<y<15 to screen coords
    }
    
    public void paint (Graphics g) {
        //Draw Grid
        g.setColor(new Color(0x108000));
        g.fillRect(10,10,340,280);
        g.setColor(new Color(0x08602F)); //lines
        for(int i = -16; i< 18; i++){
         g.drawLine( screenX(i),10,screenX(i) ,289); // verticals
        }
        for(int i = -17; i< 16; i++) {
         g.drawLine( 10, screenY(i), 350, screenY(i) ); //horizontals
        }
        g.setColor(Color.black); 
        g.drawLine( 10, screenY(0), 350, screenY(0) ); // x-axis
        g.drawLine( screenX(0),10,screenX(0) ,289);  // y=axis
        g.setFont (new Font("serif", 0, 9));

        for(int i = 2; i< 10; i+=2) g.drawString(i+" ", screenX(i)-1, screenY(0)+9); 
        for(int i = 10; i< 18; i+=2) g.drawString(i+" ", screenX(i)-4, screenY(0)+9);
	for(int i = -8; i< 0; i+=2) g.drawString(i+" ", screenX(i)-4, screenY(0)+9);  
	for(int i = -16; i< -9; i+=2) g.drawString(i+" ", screenX(i)-7, screenY(0)+9); 
	
	for(int i = 2; i< 16; i+=2) g.drawString(i+" ", screenX(0)+2, screenY(i)+4);
	for(int i = -12; i< 0; i+=2) g.drawString(i+" ", screenX(0)+2, screenY(i)+4);
       
        
         
        //Draw Curve
        
        //  if a,b pos, then ellipse, sx=sqrt(a)
        if (a>0 && b>0 && c>0){
        sx=Math.sqrt(a*c);
        sy=Math.sqrt(b*c);
		//draw focii
		if(sx>sy){
			fociX=Math.sqrt(a*c-b*c);
			fociY=0;
		} else {
			fociX=0;
			fociY=Math.sqrt(b*c-a*c);
		}
		g.setColor(Color.yellow);
		g.drawOval(screenX(-fociX)-2,screenY(-fociY)-2,2,2);
		g.drawOval(screenX(fociX)-2,screenY(fociY)-2,2,2);
		 
        /*for(double i=-sx;i<sx-.4;i=i+.5) {
            g.drawLine(screenX(i) ,screenY(f(i)) ,screenX(i+.5),screenY(f(i+.5)));
            g.drawLine(screenX(i) ,screenY(-f(i)) ,screenX(i+.5),screenY(-f(i+.5)));
            }*/
         g.setColor(Color.cyan);
		 g.drawOval(screenX(-sx),screenY(sy),2*(int)(10*sx), 2*(int)(10*sy));
        }
         //  if a pos b neg, then Left/Right hyperbola, sx=sqrt(a)
        if (a>0 && b<0 ){
        sx=Math.sqrt(a*c);
        sy=Math.sqrt(Math.abs(b)*c);
		//draw focii
		
			fociY=0;
			fociX=Math.sqrt(Math.abs(b)*c+a*c);
		
		g.setColor(Color.yellow);
		g.drawOval(screenX(-fociX)-2,screenY(-fociY)-2,2,2);
		g.drawOval(screenX(fociX)-2,screenY(fociY)-2,2,2);
        /*for(double i=-17.0;i<-sx-.4;i=i+.5) {
            g.drawLine(screenX(i) ,screenY(f(i)) ,screenX(i+.5),screenY(f(i+.5)));
            g.drawLine(screenX(i) ,screenY(-f(i)) ,screenX(i+.5),screenY(-f(i+.5)));
        }
        for(double i=sx;i<17.0;i=i+.5) {
            g.drawLine(screenX(i) ,screenY(f(i)) ,screenX(i+.5),screenY(f(i+.5)));
            g.drawLine(screenX(i) ,screenY(-f(i)) ,screenX(i+.5),screenY(-f(i+.5)));
        }*/
                //asymptotes:
        g.setColor(new Color(0x054000));
        g.drawRect(screenX(-sx),screenY(sy),(int)(20*sx),(int)(20*sy));
        g.setColor(new Color(0x559933));
        g.drawLine(screenX(-17.0),screenY(-17.0*sy/sx),screenX(17.0),screenY(17.0*sy/sx));
        g.drawLine(screenX(-17.0),screenY(17.0*sy/sx),screenX(17.0),screenY(-17.0*sy/sx));
        
        g.setColor(Color.cyan);

        j=0;
        for (double i = -17.0; i<=-sx; i=i+(Math.abs(17.0-sx)/12.0)){
            side1x[j]=screenX(i); 
            side1y[j]=screenY(f(i));
            side1x[24-j]=side1x[j];
            side1y[24-j]=screenY(-f(i));
            side2x[j]=screenX(-i); 
            side2y[j]=screenY(f(-i));
            side2x[24-j]=side2x[j];
            side2y[24-j]=screenY(-f(-i));
            j++;
        }
        side1x[12]=screenX(-sx);
        side1y[12]=screenY(0);
        side2x[12]=screenX(sx);
        side2y[12]=screenY(0);
        if (sx<=17.0){
        g.drawPolygon(side1x,side1y,25);
        g.drawPolygon(side2x,side2y,25);
        }
        
        }
         //  if a neg b pos, then Up/Down hyperbola, sx=sqrt(a)
        if (a<0 && b>0 && c>0){
        sx=Math.sqrt(Math.abs(a)*c);
        sy=Math.sqrt(b*c);
		//draw focii
		
			fociX=0;
			fociY=Math.sqrt(b*c+Math.abs(a)*c);
		
		g.setColor(Color.yellow);
		g.drawOval(screenX(-fociX)-2,screenY(-fociY)-2,2,2);
		g.drawOval(screenX(fociX)-2,screenY(fociY)-2,2,2);
         //asymptotes:
        g.setColor(new Color(0x054000));
        g.drawRect(screenX(-sx),screenY(sy),(int)(20*sx),(int)(20*sy));
        g.setColor(new Color(0x559933));
        g.drawLine(screenX(-17.0),screenY(-17.0*sy/sx),screenX(17.0),screenY(17.0*sy/sx));
        g.drawLine(screenX(-17.0),screenY(17.0*sy/sx),screenX(17.0),screenY(-17.0*sy/sx));
        
        g.setColor(Color.cyan);
        for(double i=-17;i<=17;i=i+.5) {
            g.drawLine(screenX(i) ,screenY(f(i)) ,screenX(i+.5),screenY(f(i+.5)));
            g.drawLine(screenX(i) ,screenY(-f(i)) ,screenX(i+.5),screenY(-f(i+.5)));
        }
        
        }

        
        // Draw Controls
        g.setColor(Color.red);
        g.fillOval(ax-5,ay-5,10,10);
        g.setColor(Color.cyan);
        g.fillOval(bx-5,by-5,10,10);
        g.setColor(Color.magenta);
        g.fillOval(cx-5,cy-5,10,10);
        g.setColor(Color.black);
        
        g.setFont (new Font("serif", Font.ITALIC + Font.BOLD, 14));
        g.drawString("x", 370, 30);
        g.drawString("y", 420, 30);
        g.setFont (new Font("serif", Font.BOLD, 12));
        g.drawString("2", 378, 23);
        g.drawString("2", 428, 23);
        g.drawLine(360 , 33, 388 ,33);
        g.drawLine(410 , 33, 438 ,33);
        g.setFont (new Font("sansserif", Font.BOLD, 14));
        g.drawString(Math.abs(a)+"", 365, 48);
        g.drawString(Math.abs(b)+"", 415, 48);
        g.drawString("= "+c, 450, 40);
         g.setFont (new Font("serif", Font.BOLD, 20));
        if (a<0) g.drawLine(350, 33, 355, 33);
        if (b<0) g.drawLine(395,33,405, 33);
        if (b>0) g.drawString("+", 395, 40);

        g.setFont (new Font("serif", Font.ITALIC + Font.BOLD, 12));
        
        g.drawString("a = "+a,S1_LOCATION-15, SLIDER_TOP-12);
        g.drawString("b = "+b,S2_LOCATION-15, SLIDER_TOP-12);
        g.drawString("c = "+c,S3_LOCATION-15, SLIDER_TOP-12);
        g.drawLine(S1_LOCATION,SLIDER_TOP,S1_LOCATION,SLIDER_BOTTOM);
        g.drawLine(S2_LOCATION,SLIDER_TOP,S2_LOCATION,SLIDER_BOTTOM);
        g.drawLine(S3_LOCATION,SLIDER_TOP,S3_LOCATION,SLIDER_BOTTOM);
    }
    public void mouseMoved(MouseEvent e) {}
    public void mouseDragged(MouseEvent e) {
    int mx=e.getX();
    int my=e.getY();
    // check if inside red or blue dot
    // put in approporiate 
        //if (Math.abs(my-ry)<17 && Math.abs(mx-rx)<17){  
        if (my>SLIDER_TOP-17 && Math.abs(mx-S1_LOCATION)<17){        
		ax = S1_LOCATION;
                if (my>SLIDER_BOTTOM) my=SLIDER_BOTTOM;
                if (my<SLIDER_TOP) my=SLIDER_TOP;
                ay = my;
               	a=190-ay;	
        }
        if (my>=SLIDER_TOP-17 && Math.abs(mx-S2_LOCATION)<17){        
		bx = S2_LOCATION;
                if (my>SLIDER_BOTTOM) my=SLIDER_BOTTOM;
                if (my<SLIDER_TOP) my=SLIDER_TOP;
                by = my;
               	b=190-by;	
        }
        if (my>=SLIDER_TOP-17 && Math.abs(mx-S3_LOCATION)<17){        
		cx = S3_LOCATION;
                if (my>SLIDER_BOTTOM) my=SLIDER_BOTTOM;
                if (my<SLIDER_TOP) my=SLIDER_TOP;
                cy = my;
               	c=190-cy;	
        }
        repaint();

    }
}