7HPD ˛/LEUHUtDVJHRPpWULFDV · 7HPD ˛/LEUHUtDVJHRPpWULFDV © Domingo Gallardo (DCCIA, Universidad...

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7HPD/LEUHUtDVJHRPpWULFDV © Domingo Gallardo (DCCIA, Universidad de Alicante, 2001) ¸QGLFHGHODVHVLyQ &DUDFWHUtVWLFDVJHQHUDOHV (MHPSORVGHOLEUHUtDV&*$/\-DYD5* 2SHUDFLRQHVEiVLFDV $OJXQDVLPSOHPHQWDFLRQHV

Transcript of 7HPD ˛/LEUHUtDVJHRPpWULFDV · 7HPD ˛/LEUHUtDVJHRPpWULFDV © Domingo Gallardo (DCCIA, Universidad...

Page 1: 7HPD ˛/LEUHUtDVJHRPpWULFDV · 7HPD ˛/LEUHUtDVJHRPpWULFDV © Domingo Gallardo (DCCIA, Universidad de Alicante, 2001) ¸QGLFHGHODVHVLyQ &DUDFWHUtVWLFDVJHQHUDOHV (MHPSORVGHOLEUHUtDV˛&*$/\-DYD5

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&ODVHV�EiVLFDV��SDFNDJH -DYD5*�*HRPHWULD�� 6XEFODVHV�GH ObjetoGeometrico �

� Punto2D ��SXQWR�FDUWHVLDQR� Vector2D ��YHFWRU�HQ�HO�HVSDFLR�FDUWHVLDQR� Direccion2D ��YHFWRU�VLQ�PDJQLWXG� Segmento2D ��VHJPHQWR�RULHQWDGR� Recta2D ��UHFWD�RULHQWDGD� Rayo2D��SXQWR�GH�LQLFLR�\�GLUHFFLyQ

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� GeomException ��PDQHMR�GH�HUURUHV�HQ�-DYD

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public void prueba() throws GeomException {...if (error) throw new GeomException(“tipo error”);... }

� 0DQHMDU�OD�H[FHSFLyQ�try { ... prueba(); ...}catch (GeomException e)

{System.out.println(e.getMessage());}

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(MHPSORimport javaRG.*;import javaRG.Geometria.*;

public class Ejemplo1 {public static void main (String [] args) {

Punto2D p1,p2;Vector2D v1,v2;

p1 = new Punto2D (1.0, -1.0);p2 = new Punto2D (4, 3);v1 = new Vector2D (-1, 10);v2 = new Vector2D (p1, p2); v1.suma (v2);v1.escala (2.0);p2.suma (v1);System.out.println ("Coordenadas del vector 2: "

+ v2.x() + "," + v2.y());System.out.println ("Coordenadas del punto 2: "

+ p2.x() + "," + p2.y());}

}

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� ,PSOtFLWD��HTXLYDOHQWH�D�OD�HFXDFLyQ�SDUDPpWULFD

ax + by + c = 0

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y = mx + b

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a1x + b1y + c1 = 0a2x + b2y + c2 = 0

� 'HEH�UHVROYHUVH�HO�VLVWHPD�GH�HFXDFLRQHV

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Recta2D r1, r2, rectaResult;ObjetoGeometrico result;Punto2D puntoResult;

result = r1.intersecta(r2);if (result instanceof Punto2D)

puntoResult = (Punto2D) result;else if (result instanceof Recta2D)

resultResult = (Recta2D) result;else if (result == null)

// l1 y l2 son paralelas

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public ObjetoGeometrico interseccionSegmento(Segmento2D otro) {ObjetoGeometrico result =

this.interseccionRecta(new Recta2D(otro));if (result instanceof Recta2D) return otro;

else if (result instanceof Punto2D)if (otro.contienePunto((Punto2D) result))

return result;else return null;

else return result;}

© Domingo Gallardo (DCCIA, Universidad de Alicante, 2001)

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ab

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public int sentido() throws GeomException { double areaConSigno = area()if (Mat.absoluto(areaConSigno) < Mat.EPSILON)

return Mat.COLINEAL;else if (areaConSigno > 0)

return Mat.ANTIHORARIO;else return Mat.HORARIO;

}

public double area() throws GeomException {Vector2D v1 = new Vector2D(p[0], p[1]);Vector2D v2 = new Vector2D(p[0], p[2]);return v1.moduloProductoVectorial(v2);

}

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p

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public boolean contienePunto(Punto2D punto) throwsGeomException{

Segmento2D lado1 = new Segmento2D(p[0], p[1]);Segmento2D lado2 = new Segmento2D(p[1], p[2]);Segmento2D lado3 = new Segmento2D(p[2], p[0]);

if ( lado1.contienePunto(punto) ||lado2.contienePunto(punto) ||lado3.contienePunto(punto)) return true;

else return contienePuntoEstrictamente(punto);}

© Domingo Gallardo (DCCIA, Universidad de Alicante, 2001)

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public boolean contienePuntoEstrictamente(Punto2D punto)throws GeomException {

if (punto.equals(p[0]) || punto.equals(p[1]) || punto.equals(p[2])) return false;

else {int giro = sentido(); if (punto.posicionRelativa(p[0], p[1]) == giro &&

punto.posicionRelativa(p[1], p[2]) == giro &&punto.posicionRelativa(p[2], p[0]) == giro)

return true;else return false;}

}

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public int posicionRelativa(Punto2D p1, Punto2D p2) throws GeomException {

int sentido = Mat.COLINEAL;if (p1.equals(p2))

throw new GeomException("posicionRelativa (Punto2D, Punto2D): Los puntos con los que comparar son iguales");

else sentido = new Triangulo2D(p1, p2, this).sentido();return sentido;

}

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