lienzo.java

Matematicas discretas

import java.awt.*;
import java.awt.event.*;
import java.awt.geom.Ellipse2D;
import java.awt.geom.Rectangle2D;
import javax.xml.bind.annotation.adapters.CollapsedStringAdapter;
import java.awt.geom.*;

class Lienzo extends Canvas
{
    //Atributos
    private int radio;
    private int centro_x, centro_y;
    
    //Circunferencias
    private Ellipse2D e[] = new Ellipse2D[21];
    private int indice;
    
    public Lienzo()
    {
        //Constructor sin par�metros
    }
    
    public Lienzo(int x, int y, int ancho, int alto)
    {
        //Constructor con par�metros
        this.setBounds(x,y,ancho,alto);
        //this.setBackground(Color.WHITE);
    }
    
    public void dibujarPlantilla(int radio)
    {
       this.radio = radio;
       this.centro_x = this.getWidth() / 2;
       this.centro_y = this.getHeight() / 2;
       
       this.iniciarPlantilla();
    }
    
    public void paint(Graphics g)
    {
        Graphics2D g2_0 = (Graphics2D)g.create();
        Graphics2D g2_1 = (Graphics2D)g.create();
        Graphics2D g2_2 = (Graphics2D)g.create();
        Graphics2D g2_3 = (Graphics2D)g.create();

        //this.fig5(g2_0);
        //this.fig4(g2_3);
        //this.fig1(g2_0);
        //this.fig2(g2_1);
        //this.fig3(g2_2);
    }
    
    private void iniciarPlantilla()
    {
        int i;
        //Tam�o de pincel
        //Stroke pincel = new BasicStroke(2.0f, BasicStroke.CAP_ROUND, BasicStroke.JOIN_MITER);
        //g2.setStroke(pincel);
        
        //Dibujamos el circulo principal
        e[indice] = new Ellipse2D.Float(this.centro_x - this.radio / 2, this.centro_y  - this.radio / 2, radio, radio);
        indice++;
        
        //Dibujamos los dos circulos de radio w = r/2
        for(i = -1; i < 1; i++, indice++)
            e[indice] = new Ellipse2D.Float(this.centro_x - this.radio / 4, this.centro_y  + i * this.radio / 2, radio / 2, radio / 2);

        //Dibujamos los cuatro circulos de radio x = r/4
        for(i = -2; i < 2; i++, indice++)
            e[indice] = new Ellipse2D.Float(this.centro_x - this.radio / 8, this.centro_y + i * this.radio / 4, radio / 4, radio / 4);

        //Dibujamos los dos circulos de radio y = r/3
        e[indice] = new Ellipse2D.Float(this.centro_x - this.radio / 2, this.centro_y  - this.radio / 6, radio / 3, radio / 3);
        indice++;
        e[indice] = new Ellipse2D.Float(this.centro_x + this.radio / 6, this.centro_y  - this.radio / 6, radio / 3, radio / 3);
        indice++;

        //Dibujamos los doce circulos de radio z = r/6
        for(i = -1; i < 1; i++, indice++)
        {
            e[indice] = new Ellipse2D.Float(this.centro_x - this.radio / 4 + i * this.radio / 6, this.centro_y  - this.radio / 4 - this.radio / 12, radio / 6, radio / 6);
            e[indice + 2] = new Ellipse2D.Float(this.centro_x - this.radio / 4 - this.radio / 6, this.centro_y + i * this.radio / 6, radio / 6, radio / 6);
            e[indice + 4] = new Ellipse2D.Float(this.centro_x - this.radio / 4 + i * this.radio / 6, this.centro_y  + this.radio / 4 - this.radio / 12, radio / 6, radio / 6);
        }
        
        for(indice += 4, i = -1; i < 1; i++, indice++)
        {
            e[indice] = new Ellipse2D.Float(this.centro_x + this.radio / 4 + i * this.radio / 6, this.centro_y  - this.radio / 4 - this.radio / 12, radio / 6, radio / 6);
            e[indice + 2] = new Ellipse2D.Float(this.centro_x + this.radio / 4, this.centro_y + i * this.radio / 6, radio / 6, radio / 6);
            e[indice + 4] = new Ellipse2D.Float(this.centro_x + this.radio / 4 + i * this.radio / 6, this.centro_y  + this.radio / 4 - this.radio / 12, radio / 6, radio / 6);
        }
        
        indice += 4;
    }
    
    private void fig1(Graphics2D g2)
    {
        int i;
        
        //Estabelcemos el color de la figura
        g2.setColor(Color.BLUE);
        
        //Creamos un area con la circunferencia principal
        Area a = new Area(e[0]);
        
        //Quitamos las cincunferencias circunscritas
        for(i = 1; i < indice; i++)
            a.subtract(new Area(e[i]));
        
        //Creamos un rectangulo de ancho igual a radio / 2
        Rectangle2D r = new Rectangle2D.Float(this.centro_x,0.0f,this.getWidth() - this.centro_x,this.getHeight());
        
        //Intersectamos para obtener la mitad del area
        a.intersect(new Area(r));
        
        //Agregamos las circunferencias que hacen falta
        a.add(new Area(e[1]));
        a.add(new Area(e[8]));
        a.add(new Area(e[16]));
        a.add(new Area(e[20]));
        
        //AffineTransform at = g2.getTransform();
        
        //at.setToRotation(Math.toRadians(90),this.centro_x,this.centro_y);
        //a.transform(at);
        
        //Dibujamos la circunferencia obtenida
        g2.fill(a);
        g2.dispose();
        g2 = null;
    }
    
    private void fig2(Graphics2D g2)
    {
        //Establecemos el color de la figura
        g2.setColor(Color.RED);
        
        //Creamos el area con la circunferencia principal
        Area a = new Area(e[0]);
        
        //Variables para el poligono a formar
        int coordx [] = new int[4];
        int coordy [] = new int[4];
        
        coordx[0] = (int)e[9].getCenterX();
        coordy[0] = (int)e[9].getCenterY();
        coordx[1] = coordx[0] - radio/2;
        coordy[1] = coordy[0] - radio/2;
        coordx[3] = (int)e[16].getCenterX();
        coordy[3] = (int)e[16].getCenterY();
        coordx[2] = coordx[3] + radio/2;
        coordy[2] = coordy[3] - radio/2;
        
        //Formamos el poligono
        Polygon pol = new Polygon(coordx,coordy,4);
        
        //Intersectamos el area con el poligono
        a.intersect(new Area(pol));
        
        //Quitamos las circunferencias que no deben formar parte
        a.subtract(new Area(e[9]));
        a.subtract(new Area(e[16]));
        
        //Agregamos las circunferencias faltantes
        a.add(new Area(e[10]));
        a.add(new Area(e[15]));
        
        coordx[0] = (int)e[4].getCenterX();
        coordy[0] = (int)e[4].getCenterY();
        coordx[1] = coordx[0] - radio/6;
        coordy[1] = coordy[0] - radio/6;
        coordx[3] = coordx[0];
        coordy[3] = coordy[0];
        coordx[2] = coordx[3] + radio/6;
        coordy[2] = coordy[3] - radio/6;
        
        pol = new Polygon(coordx,coordy,4);
        a.add(new Area(pol));
        a.subtract(new Area(e[4]));
        
        //Creamos una nueva area con el circulo principal
        Area a2 = new Area(e[0]);
        
        //Restamos de esta area el resultado del area a
        a2.subtract(a);
        
        //Dibujamos la figura resultante
        g2.fill(a2);
        g2.dispose();
        g2 = null;
    }
    
    private void fig3(Graphics2D g2)
    {
        g2.setColor(Color.ORANGE);
        
        Area a = new Area(e[0]);
        
        Rectangle2D rec = new Rectangle2D.Float((int)e[9].getCenterX(),(int)e[9].getCenterY(),(int)(e[20].getCenterX() - e[9].getCenterX()),(int)(e[20].getCenterY() - e[9].getCenterY()));
        a.intersect(new Area(rec));
        a.add(new Area(e[9]));
        a.subtract(new Area(e[11]));
        a.add(new Area(e[12]));
        a.subtract(new Area(e[13]));
        a.add(new Area(e[14]));
        a.add(new Area(e[16]));
        a.subtract(new Area(e[17]));
        a.add(new Area(e[18]));
        a.add(new Area(e[19]));
        a.subtract(new Area(e[20]));
        
        Area a2 = new Area(e[0]);
        
        int coordx [] = new int[4];
        int coordy [] = new int[4];
        
        coordx[0] = (int)e[9].getCenterX();
        coordy[0] = (int)e[9].getCenterY();
        coordx[1] = coordx[0] - radio/2;
        coordy[1] = coordy[0] - radio/2;
        coordx[3] = (int)e[16].getCenterX();
        coordy[3] = (int)e[16].getCenterY();
        coordx[2] = coordx[3] + radio/2;
        coordy[2] = coordy[3] - radio/2;
        
        Polygon pol = new Polygon(coordx,coordy,4);
        a2.intersect(new Area(pol));
        a2.subtract(new Area(e[9]));
        a2.subtract(new Area(e[16]));
        a2.add(new Area(e[10]));
        a2.add(new Area(e[15]));
        
        coordx[0] = (int)e[4].getCenterX();
        coordy[0] = (int)e[4].getCenterY();
        coordx[1] = coordx[0] - radio/6;
        coordy[1] = coordy[0] - radio/6;
        coordx[3] = coordx[0];
        coordy[3] = coordy[0];
        coordx[2] = coordx[3] + radio/6;
        coordy[2] = coordy[3] - radio/6;
        
        pol = new Polygon(coordx,coordy,4);
        a2.add(new Area(pol));
        a2.subtract(new Area(e[4]));
        
        a.subtract(a2);
        
        coordx[0] = (int)e[6].getCenterX();
        coordy[0] = (int)e[6].getCenterY();
        coordx[1] = coordx[0] - radio/6;
        coordy[1] = coordy[0] - radio/6;
        coordx[3] = coordx[0];
        coordy[3] = coordy[0];
        coordx[2] = coordx[3] + radio/6;
        coordy[2] = coordy[3] - radio/6;
        
        pol = new Polygon(coordx,coordy,4);
        a2 = new Area(pol);
        
        a.add(a2);
        a.subtract(new Area(e[6]));
        
        g2.fill(a);
        g2.dispose();
        g2 = null;
    }
    
    private void fig4(Graphics2D g2)
    {
        g2.setColor(Color.MAGENTA);
        
        Area a = new Area(e[0]);
        
        Rectangle2D rec = new Rectangle2D.Float((int)e[9].getCenterX(),(int)e[9].getCenterY(),(int)(e[20].getCenterX() - e[9].getCenterX()),(int)(e[20].getCenterY() - e[9].getCenterY()));
        a.intersect(new Area(rec));
        a.subtract(new Area(e[7]));
        a.subtract(new Area(e[8]));
        a.add(new Area(e[9]));
        a.add(new Area(e[16]));
        a.add(new Area(e[13]));
        a.add(new Area(e[20]));
        
        Area a2 = new Area(e[0]);
        
        int coordx [] = new int[4];
        int coordy [] = new int[4];
        
        coordx[0] = (int)e[9].getCenterX();
        coordy[0] = (int)e[9].getCenterY();
        coordx[1] = coordx[0] - radio/2;
        coordy[1] = coordy[0] - radio/2;
        coordx[3] = (int)e[16].getCenterX();
        coordy[3] = (int)e[16].getCenterY();
        coordx[2] = coordx[3] + radio/2;
        coordy[2] = coordy[3] - radio/2;
        
        Polygon pol = new Polygon(coordx,coordy,4);
        a2.intersect(new Area(pol));
        a2.subtract(new Area(e[9]));
        a2.subtract(new Area(e[16]));
        a2.add(new Area(e[10]));
        a2.add(new Area(e[15]));
        
        a.add(a2);
        
        a2 = new Area(e[0]);
        
        coordx[0] = (int)e[13].getCenterX();
        coordy[0] = (int)e[13].getCenterY();
        coordx[1] = coordx[0] - radio/2;
        coordy[1] = coordy[0] + radio/2;
        coordx[3] = (int)e[20].getCenterX();
        coordy[3] = (int)e[20].getCenterY();
        coordx[2] = coordx[3] + radio/2;
        coordy[2] = coordy[3] + radio/2;
        
        pol = new Polygon(coordx,coordy,4);
        a2.intersect(new Area(pol));
        a2.subtract(new Area(e[13]));
        a2.subtract(new Area(e[20]));
        a2.add(new Area(e[14]));
        a2.add(new Area(e[19]));
        
        a.add(a2);
        
        g2.fill(a);
        g2.dispose();
        g2 = null;
    }
    
    private void fig5(Graphics2D g2)
    {
        g2.setColor(Color.PINK);
        
        Area a = new Area(e[0]);
        
        Rectangle2D rec = new Rectangle2D.Float(this.centro_x - this.radio / 2 ,this.centro_y - this.radio / 2, this.radio / 2, this.radio / 2);
        a.subtract(new Area(rec));
        
        int coordx [] = new int[4];
        int coordy [] = new int[4];
        
        coordx[0] = (int)e[1].getCenterX();
        coordy[0] = (int)e[1].getCenterY();
        coordx[1] = (int)e[7].getCenterX();
        coordy[1] = (int)e[7].getCenterY();
        coordx[2] = (int)e[8].getCenterX();
        coordy[2] = (int)e[8].getCenterY();
        coordx[3] = coordx[0];
        coordy[3] = coordy[0];
        
        Polygon pol = new Polygon(coordx,coordy,4);
        a.add(new Area(pol));
        
        a.add(new Area(e[7]));
        a.subtract(new Area(e[1]));
        
        g2.fill(a);
        g2.dispose();
        g2 = null;
    }
}