root / branches / v2_0_0_prep / libraries / libFMap_geometries / src / org / gvsig / fmap / geom / util / UtilFunctions.java @ 21308
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/*
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* Created on 10-feb-2005
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*
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* gvSIG. Sistema de Informaci?n Geogr?fica de la Generalitat Valenciana
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*
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* Copyright (C) 2004 IVER T.I. and Generalitat Valenciana.
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*
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* This program is free software; you can redistribute it and/or
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* modify it under the terms of the GNU General Public License
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* as published by the Free Software Foundation; either version 2
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* of the License, or (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
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*
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* For more information, contact:
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*
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* Generalitat Valenciana
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* Conselleria d'Infraestructures i Transport
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* Av. Blasco Ib??ez, 50
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* 46010 VALENCIA
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* SPAIN
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*
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* +34 963862235
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* gvsig@gva.es
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* www.gvsig.gva.es
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*
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* or
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*
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* IVER T.I. S.A
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* Salamanca 50
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* 46005 Valencia
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* Spain
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*
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* +34 963163400
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* dac@iver.es
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*/
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package org.gvsig.fmap.geom.util; |
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import java.awt.geom.AffineTransform; |
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import java.awt.geom.Arc2D; |
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import java.awt.geom.Point2D; |
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import java.awt.geom.Rectangle2D; |
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import org.gvsig.fmap.geom.Geometry; |
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import com.vividsolutions.jts.algorithm.RobustCGAlgorithms; |
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import com.vividsolutions.jts.geom.Coordinate; |
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/**
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* @author FJP
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*
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* TODO To change the template for this generated type comment go to
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* Window - Preferences - Java - Code Generation - Code and Comments
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*/
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public class UtilFunctions { |
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static public Arc2D createCircle(Point2D p1, Point2D p2, Point2D p3) //, Graphics g) |
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{
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double xC, yC, w, h;
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// Calculamos 2 secantes, tiramos perpendiculares por sus puntos
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// medios y obtenemos el centro. Luego calculamos el radio.
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// Puntos medios de los segmentos.
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double xm1, ym1, xm2, ym2;
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xm1 = (p1.getX() + p2.getX())/ 2.0;
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ym1 = (p1.getY() + p2.getY())/ 2.0;
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xm2 = (p2.getX() + p3.getX())/ 2.0;
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ym2 = (p2.getY() + p3.getY())/ 2.0;
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/* g.setColor(Color.GRAY);
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g.draw3DRect((int)xm1, (int) ym1, 1, 1, true);
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g.draw3DRect((int)xm2, (int) ym2, 1, 1, true); */
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// Pendientes de las perpendiculares y constantes
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double mP1=0, mP2=0, A1, A2; |
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boolean bPerp1 = false; |
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//boolean bPerp2 = false;
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if (p2.getY() - p1.getY() == 0) |
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{
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A1 = ym1; |
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bPerp1 = true;
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} |
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else
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{
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mP1 = (p2.getX() - p1.getX()) /(p1.getY() - p2.getY()); |
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A1 = ym1 - xm1 * mP1; |
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} |
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if (p2.getY() - p3.getY() == 0) |
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{
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A2 = ym2; |
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//bPerp2 = true;
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} |
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else
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{
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mP2 = (p3.getX() - p2.getX()) /(p2.getY() - p3.getY()); |
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A2 = ym2 - xm2 * mP2; |
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} |
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if (mP2 == mP1)
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{
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return null; // Error, 3 puntos alineados. No puede pasar un arco |
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} |
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else
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{
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xC = (A2 - A1)/(mP1-mP2); |
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if (!bPerp1)
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yC = xC * mP1 + A1; |
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else
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yC = xC * mP2 + A2; |
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} |
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double Radio = p1.distance(xC, yC);
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double xR = xC - Radio ;
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double yR = yC - Radio ;
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w = 2.0* Radio;
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h = w; |
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Rectangle2D.Double rBounds = new Rectangle2D.Double(xR,yR, w,h); |
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Arc2D.Double resul = new Arc2D.Double(rBounds, 0.0, 360.0, Arc2D.OPEN); |
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/* g.setColor(Color.RED);
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((Graphics2D) g).draw(resul);
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g.setColor(Color.BLUE);
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((Graphics2D) g).draw(rBounds);
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g.draw3DRect((int)p1.getX(), (int) p1.getY(), 1, 1, true);
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g.draw3DRect((int)p2.getX(), (int) p2.getY(), 2, 2, true);
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g.draw3DRect((int)p3.getX(), (int) p3.getY(), 1, 1, true);
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g.drawString("1", (int) p1.getX(), (int) p1.getY());
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g.drawString("2", (int) p2.getX(), (int) p2.getY());
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g.drawString("3", (int) p3.getX(), (int) p3.getY());
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g.drawString("C", (int) xC, (int) yC);
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g.draw3DRect((int)xC, (int) yC, 2, 2, true); */
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return resul;
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} |
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/**
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* Obtiene un par de puntos que definen la recta perpendicular a p1-p2 que
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* pasa por el punto perp
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*
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* @param p1 punto de la recta p1-p2
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* @param p2 punto de la recta p1-p2
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* @param perp Punto por el que pasa la recta perpendicular, debe ser
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* distinto a p2
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*
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* @return Array con dos puntos que definen la recta resultante
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*/
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public static Point2D[] getPerpendicular(Point2D p1, Point2D p2, |
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Point2D perp) {
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if ((p2.getY() - p1.getY()) == 0) { |
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return new Point2D[] { |
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new Point2D.Double(perp.getX(), 0), |
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new Point2D.Double(perp.getX(), 1) |
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}; |
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} |
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//Pendiente de la recta perpendicular
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double m = (p1.getX() - p2.getX()) / (p2.getY() - p1.getY());
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//b de la funcion de la recta perpendicular
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double b = perp.getY() - (m * perp.getX());
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//Obtenemos un par de puntos
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Point2D[] res = new Point2D[2]; |
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res[0] = new Point2D.Double(0, (m * 0) + b); |
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res[1] = new Point2D.Double(1000, (m * 1000) + b); |
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return res;
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} |
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public static Point2D[] getParallel(Point2D p1,Point2D p2,double distance) { |
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Point2D[] pParallel=new Point2D[2]; |
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pParallel[0]=getPerpendicularPoint(p1,p2,p1,distance);
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pParallel[1]=getPerpendicularPoint(p1,p2,p2,distance);
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return pParallel;
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} |
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/**
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* Obtiene el punto que se encuentra a una distancia 'dist' de la recta
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* p1-p2 y se encuentra en la recta perpendicular que pasa por perpPoint
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*
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* @param p1 Punto de la recta p1-p2
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* @param p2 Punto de la recta p1-p2
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* @param perpPoint Punto de la recta perpendicular
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* @param dist Distancia del punto que se quiere obtener a la recta p1-p2
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*
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* @return DOCUMENT ME!
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*/
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public static Point2D getPerpendicularPoint(Point2D p1, Point2D p2, |
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Point2D perpPoint, double dist) { |
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Point2D[] p = getPerpendicular(p1, p2, perpPoint); |
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Point2D unit = getUnitVector(p[0], p[1]); |
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return new Point2D.Double(perpPoint.getX() + (unit.getX() * dist), |
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perpPoint.getY() + (unit.getY() * dist)); |
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} |
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/**
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* Devuelve un vector unitario en forma de punto a partir de dos puntos.
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*
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* @param p1 punto origen.
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* @param p2 punto destino.
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*
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* @return vector unitario.
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*/
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public static Point2D getUnitVector(Point2D p1, Point2D p2) { |
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Point2D paux = new Point2D.Double(p2.getX() - p1.getX(), |
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p2.getY() - p1.getY()); |
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double v = Math.sqrt(Math.pow(paux.getX(), 2d) + |
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Math.pow(paux.getY(), 2d)); |
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paux = new Point2D.Double(paux.getX() / v, paux.getY() / v); |
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return paux;
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} |
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/**
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* Obtiene el centro del c?rculo que pasa por los tres puntos que se pasan
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* como par?metro
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*
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* @param p1 primer punto del c?rculo cuyo centro se quiere obtener
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* @param p2 segundo punto del c?rculo cuyo centro se quiere obtener
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* @param p3 tercer punto del c?rculo cuyo centro se quiere obtener
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*
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* @return Devuelve null si los puntos est?n alineados o no son 3 puntos
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* distintos
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*/
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public static Point2D getCenter(Point2D p1, Point2D p2, Point2D p3) { |
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if (p1.equals(p2) || p2.equals(p3) || p1.equals(p3)) {
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return null; |
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} |
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Point2D[] perp1 = getPerpendicular(p1, p2, |
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new Point2D.Double((p1.getX() + p2.getX()) / 2, |
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(p1.getY() + p2.getY()) / 2));
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Point2D[] perp2 = getPerpendicular(p2, p3, |
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new Point2D.Double((p2.getX() + p3.getX()) / 2, |
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(p2.getY() + p3.getY()) / 2));
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return getIntersection(perp1[0], perp1[1], perp2[0], perp2[1]); |
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} |
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/**
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* Devuelve el punto de la intersecci?n entre las lineas p1-p2 y p3-p4.
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*
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* @param p1 punto de la recta p1-p2
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* @param p2 punto de la recta p1-p2
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* @param p3 punto de la recta p3-p4
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* @param p4 punto de la recta p3-p4
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*
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* @return DOCUMENT ME!
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*
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* @throws RuntimeException DOCUMENT ME!
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*/
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public static Point2D getIntersection(Point2D p1, Point2D p2, Point2D p3, |
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Point2D p4) {
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double m1 = Double.POSITIVE_INFINITY; |
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if ((p2.getX() - p1.getX()) != 0) { |
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m1 = (p2.getY() - p1.getY()) / (p2.getX() - p1.getX()); |
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} |
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double m2 = Double.POSITIVE_INFINITY; |
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if ((p4.getX() - p3.getX()) != 0) { |
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m2 = (p4.getY() - p3.getY()) / (p4.getX() - p3.getX()); |
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} |
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if ((m1 == Double.POSITIVE_INFINITY) && |
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(m2 == Double.POSITIVE_INFINITY)) {
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return null; |
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} |
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double b1 = p2.getY() - (m1 * p2.getX());
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double b2 = p4.getY() - (m2 * p4.getX());
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if ((m1 != Double.POSITIVE_INFINITY) && |
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(m2 != Double.POSITIVE_INFINITY)) {
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if (m1 == m2) {
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return null; |
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} |
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double x = (b2 - b1) / (m1 - m2);
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return new Point2D.Double(x, (m1 * x) + b1); |
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} else if (m1 == Double.POSITIVE_INFINITY) { |
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double x = p1.getX();
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return new Point2D.Double(x, (m2 * x) + b2); |
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} else if (m2 == Double.POSITIVE_INFINITY) { |
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double x = p3.getX();
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return new Point2D.Double(x, (m1 * x) + b1); |
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} |
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//no llega nunca
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throw new RuntimeException("BUG!"); |
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} |
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/**
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* Obtiene el ?ngulo del vector que se pasa como par?metro con el vector
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* horizontal de izquierda a derecha
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*
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* @param start punto origen del vector
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* @param end punto destino del vector
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*
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* @return angulo en radianes
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*/
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public static double getAngle(Point2D start, Point2D end) { |
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double angle = Math.acos((end.getX() - start.getX()) / start.distance( |
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end)); |
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if (start.getY() > end.getY()) {
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angle = -angle; |
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} |
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if (angle < 0) { |
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angle += (2 * Math.PI); |
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} |
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return angle;
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} |
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/**
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* Devuelve la distancia desde angle1 a angle2. Angulo en radianes de
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* diferencia entre angle1 y angle2 en sentido antihorario
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*
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* @param angle1 angulo en radianes. Debe ser positivo y no dar ninguna
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* vuelta a la circunferencia
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* @param angle2 angulo en radianes. Debe ser positivo y no dar ninguna
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* vuelta a la circunferencia
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*
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* @return distancia entre los ?ngulos
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*/
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public static double angleDistance(double angle1, double angle2) { |
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if (angle1 < angle2) {
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return angle2 - angle1;
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} else {
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return ((Math.PI * 2) - angle1) + angle2; |
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} |
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} |
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/**
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* Devuelve el punto de la recta que viene dada por los puntos p1 y p2 a
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* una distancia radio de p1.
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*
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* @param p1 DOCUMENT ME!
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* @param p2 DOCUMENT ME!
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* @param radio DOCUMENT ME!
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*
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* @return DOCUMENT ME!
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*/
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public static Point2D getPoint(Point2D p1, Point2D p2, double radio) { |
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Point2D paux = new Point2D.Double(p2.getX() - p1.getX(), |
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p2.getY() - p1.getY()); |
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double v = Math.sqrt(Math.pow(paux.getX(), 2d) + |
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Math.pow(paux.getY(), 2d)); |
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paux = new Point2D.Double(paux.getX() / v, paux.getY() / v); |
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Point2D aux1 = new Point2D.Double(p1.getX() + (radio * paux.getX()), |
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p1.getY() + (radio * paux.getY())); |
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return aux1;
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} |
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/**
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* Devuelve la menor distancia desde angle1 a angle2.
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*
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* @param angle1 angulo en radianes. Debe ser positivo y no dar ninguna
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* vuelta a la circunferencia
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* @param angle2 angulo en radianes. Debe ser positivo y no dar ninguna
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* vuelta a la circunferencia
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*
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* @return distancia entre los ?ngulos
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*/
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public static double absoluteAngleDistance(double angle1, double angle2) { |
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double d = Math.abs(angle1 - angle2); |
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if (d < Math.PI) { |
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return d;
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} else {
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if (angle1 < angle2) {
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angle2 -= (Math.PI * 2); |
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} else {
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angle1 -= (Math.PI * 2); |
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} |
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return Math.abs(angle1 - angle2); |
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} |
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} |
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/**
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* Obtiene un arco a partir de 3 puntos. Devuelve null si no se puede crear
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* el arco porque los puntos est?n alineados o los 3 puntos no son
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* distintos
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*
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* @param p1
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* @param p2
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* @param p3
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*
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* @return Arco
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*/
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public static Arc2D createArc(Point2D p1, Point2D p2, Point2D p3) { |
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Point2D center = getCenter(p1, p2, p3);
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if (center == null) { |
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return null; |
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} |
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double angle1 = getAngle(center, p1);
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double angle2 = getAngle(center, p3);
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double extent = angleDistance(angle1, angle2);
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Coordinate[] coords = new Coordinate[4]; |
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coords[0] = new Coordinate(p1.getX(), p1.getY()); |
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coords[1] = new Coordinate(p2.getX(), p2.getY()); |
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coords[2] = new Coordinate(p3.getX(), p3.getY()); |
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coords[3] = new Coordinate(p1.getX(), p1.getY()); |
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if (!RobustCGAlgorithms.isCCW(coords)) {
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extent = (Math.PI * 2) - extent; |
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} else {
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extent = -extent; |
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} |
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|
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//System.err.println("angle1:" + angle1);
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//System.err.println("angle2:" + getAngle(center, p2));
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//System.err.println("angle3:" + angle2);
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//System.err.println("extent:" + extent);
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| 425 |
double Radio = p1.distance(center);
|
| 426 |
double xR = center.getX() - Radio;
|
| 427 |
double yR = center.getY() - Radio;
|
| 428 |
double w = 2.0 * Radio; |
| 429 |
double h = w;
|
| 430 |
|
| 431 |
Rectangle2D.Double rBounds = new Rectangle2D.Double(xR, yR, w, h); |
| 432 |
Arc2D.Double resul = new Arc2D.Double(rBounds, |
| 433 |
Math.toDegrees((Math.PI * 2) - angle1), Math.toDegrees(extent), |
| 434 |
Arc2D.OPEN);
|
| 435 |
|
| 436 |
return resul;
|
| 437 |
} |
| 438 |
|
| 439 |
/**
|
| 440 |
* Obtiene un arco a partir del
|
| 441 |
* centro del arco y punto inicio y punto final
|
| 442 |
* Suponemos un Arco definicio CCW (CounterClockWise)
|
| 443 |
* @param center
|
| 444 |
* @param init
|
| 445 |
* @param end
|
| 446 |
*
|
| 447 |
* @return Arco
|
| 448 |
*/
|
| 449 |
public static Arc2D createArc2points(Point2D center, Point2D init, Point2D end) { |
| 450 |
|
| 451 |
double angle1 = getAngle(center, init);
|
| 452 |
double angle2 = getAngle(center, end);
|
| 453 |
double extent = angleDistance(angle1, angle2);
|
| 454 |
|
| 455 |
extent = -extent; // CCW
|
| 456 |
|
| 457 |
//System.err.println("angle1:" + angle1);
|
| 458 |
//System.err.println("angle2:" + getAngle(center, p2));
|
| 459 |
//System.err.println("angle3:" + angle2);
|
| 460 |
//System.err.println("extent:" + extent);
|
| 461 |
double Radio = init.distance(center);
|
| 462 |
double xR = center.getX() - Radio;
|
| 463 |
double yR = center.getY() - Radio;
|
| 464 |
double w = 2.0 * Radio; |
| 465 |
double h = w;
|
| 466 |
|
| 467 |
Rectangle2D.Double rBounds = new Rectangle2D.Double(xR, yR, w, h); |
| 468 |
Arc2D.Double resul = new Arc2D.Double(rBounds, |
| 469 |
Math.toDegrees((Math.PI * 2) - angle1), Math.toDegrees(extent), |
| 470 |
Arc2D.OPEN);
|
| 471 |
|
| 472 |
return resul;
|
| 473 |
} |
| 474 |
|
| 475 |
/**
|
| 476 |
* Devuelve el punto a una distancia radio del punto p1 y aplicandole un ?ngulo an.
|
| 477 |
* una distancia radio de p1.
|
| 478 |
*
|
| 479 |
* @param p1 DOCUMENT ME!
|
| 480 |
* @param p2 DOCUMENT ME!
|
| 481 |
* @param radio DOCUMENT ME!
|
| 482 |
*
|
| 483 |
* @return DOCUMENT ME!
|
| 484 |
*/
|
| 485 |
public static Point2D getPoint(Point2D p1, double an, double radio) { |
| 486 |
double x=(radio*Math.cos(an))+p1.getX(); |
| 487 |
double y=(radio*Math.sin(an))+p1.getY(); |
| 488 |
|
| 489 |
Point2D p=new Point2D.Double(x,y); |
| 490 |
|
| 491 |
return p;
|
| 492 |
} |
| 493 |
/**
|
| 494 |
* DOCUMENT ME!
|
| 495 |
*
|
| 496 |
* @param antp DOCUMENT ME!
|
| 497 |
* @param lastp DOCUMENT ME!
|
| 498 |
* @param interp DOCUMENT ME!
|
| 499 |
* @param point DOCUMENT ME!
|
| 500 |
*
|
| 501 |
* @return DOCUMENT ME!
|
| 502 |
*/
|
| 503 |
public static boolean isLowAngle(Point2D antp, Point2D lastp, |
| 504 |
Point2D interp, Point2D point) { |
| 505 |
///double ob=lastp.distance(point);
|
| 506 |
///Point2D[] aux=getPerpendicular(lastp,interp,point);
|
| 507 |
///Point2D intersect=getIntersection(aux[0],aux[1],lastp,interp);
|
| 508 |
///double pb=intersect.distance(point);
|
| 509 |
///double a=Math.asin(pb/ob);
|
| 510 |
Coordinate[] coords = new Coordinate[4]; |
| 511 |
coords[0] = new Coordinate(lastp.getX(), lastp.getY()); |
| 512 |
coords[1] = new Coordinate(interp.getX(), interp.getY()); |
| 513 |
coords[2] = new Coordinate(point.getX(), point.getY()); |
| 514 |
coords[3] = new Coordinate(lastp.getX(), lastp.getY()); |
| 515 |
|
| 516 |
try {
|
| 517 |
double angle1 = getAngle(antp, lastp);
|
| 518 |
System.out.println("angle1= " + angle1); |
| 519 |
|
| 520 |
double angle2 = getAngle(lastp, point);
|
| 521 |
System.out.println("angle2= " + angle2); |
| 522 |
|
| 523 |
/*if (lastp.getX()<antp.getX()){
|
| 524 |
System.out.println("angleDiff 2 1= "+angleDistance(angle2,angle1));
|
| 525 |
System.out.println("angleDiff 1 2= "+angleDistance(angle1,angle2));
|
| 526 |
if (angleDistance(angle2,angle1)>Math.PI){
|
| 527 |
|
| 528 |
if (RobustCGAlgorithms.isCCW(coords)) {
|
| 529 |
System.out.println("izquierda,arriba,true");
|
| 530 |
return true;
|
| 531 |
} else{
|
| 532 |
System.out.println("izquierda,arriba,false");
|
| 533 |
}
|
| 534 |
}else {
|
| 535 |
if (!RobustCGAlgorithms.isCCW(coords)) {
|
| 536 |
System.out.println("izquierda,abajo,true");
|
| 537 |
return true;
|
| 538 |
} else{
|
| 539 |
System.out.println("izquierda,abajo,false");
|
| 540 |
}
|
| 541 |
}
|
| 542 |
}else if (lastp.getX()>antp.getX()){
|
| 543 |
*/
|
| 544 |
System.out.println("angleDifl 2 1= " + |
| 545 |
angleDistance(angle2, angle1)); |
| 546 |
System.out.println("angleDifl 1 2= " + |
| 547 |
angleDistance(angle1, angle2)); |
| 548 |
|
| 549 |
if (angleDistance(angle2, angle1) > Math.PI) { |
| 550 |
if (RobustCGAlgorithms.isCCW(coords)) {
|
| 551 |
System.out.println("derecha,arriba,true"); |
| 552 |
|
| 553 |
return true; |
| 554 |
} else {
|
| 555 |
System.out.println("derecha,arriba,false"); |
| 556 |
} |
| 557 |
} else {
|
| 558 |
if (!RobustCGAlgorithms.isCCW(coords)) {
|
| 559 |
System.out.println("derecha,abajo,true"); |
| 560 |
|
| 561 |
return true; |
| 562 |
} else {
|
| 563 |
System.out.println("derecha,abajo,false"); |
| 564 |
} |
| 565 |
} |
| 566 |
|
| 567 |
//}
|
| 568 |
} catch (Exception e) { |
| 569 |
System.out.println("false"); |
| 570 |
|
| 571 |
return true; |
| 572 |
} |
| 573 |
|
| 574 |
return false; |
| 575 |
} |
| 576 |
|
| 577 |
/* movido a AbstractPrimitive */
|
| 578 |
|
| 579 |
public static void rotateGeom(Geometry geometry, double radAngle, double basex, double basey) { |
| 580 |
AffineTransform at = new AffineTransform(); |
| 581 |
at.rotate(radAngle,basex,basey); |
| 582 |
geometry.transform(at); |
| 583 |
|
| 584 |
} |
| 585 |
public static void moveGeom(Geometry geometry, double dx, double dy) { |
| 586 |
AffineTransform at = new AffineTransform(); |
| 587 |
at.translate(dx, dy); |
| 588 |
geometry.transform(at); |
| 589 |
|
| 590 |
|
| 591 |
} |
| 592 |
public static void scaleGeom(Geometry geometry, Point2D basePoint, double sx, double sy) { |
| 593 |
AffineTransform at = new AffineTransform(); |
| 594 |
at.setToTranslation(basePoint.getX(),basePoint.getY()); |
| 595 |
at.scale(sx,sy); |
| 596 |
at.translate(-basePoint.getX(),-basePoint.getY()); |
| 597 |
geometry.transform(at); |
| 598 |
} |
| 599 |
|
| 600 |
|
| 601 |
} |