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/*
 * The JTS Topology Suite is a collection of Java classes that
 * implement the fundamental operations required to validate a given
 * geo-spatial data set to a known topological specification.
 *
 * Copyright (C) 2001 Vivid Solutions
 *
 * This library is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License as published by the Free Software Foundation; either
 * version 2.1 of the License, or (at your option) any later version.
 *
 * This library is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 * Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public
 * License along with this library; if not, write to the Free Software
 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 *
 * For more information, contact:
 *
 *     Vivid Solutions
 *     Suite #1A
 *     2328 Government Street
 *     Victoria BC  V8T 5G5
 *     Canada
 *
 *     (250)385-6040
 *     www.vividsolutions.com
 */
package com.vividsolutions.jts.algorithm;

import com.vividsolutions.jts.geom.*;

/**
 * Computes whether a rectangle intersects line segments.
 * 

* Rectangles contain a large amount of inherent symmetry * (or to put it another way, although they contain four * coordinates they only actually contain 4 ordinates * worth of information). * The algorithm used takes advantage of the symmetry of * the geometric situation * to optimize performance by minimizing the number * of line intersection tests. * * @author Martin Davis * */ public class RectangleLineIntersector { // for intersection testing, don't need to set precision model private LineIntersector li = new RobustLineIntersector(); private Envelope rectEnv; private Coordinate diagUp0; private Coordinate diagUp1; private Coordinate diagDown0; private Coordinate diagDown1; /** * Creates a new intersector for the given query rectangle, * specified as an {@link Envelope}. * * * @param rectEnv the query rectangle, specified as an Envelope */ public RectangleLineIntersector(Envelope rectEnv) { this.rectEnv = rectEnv; /** * Up and Down are the diagonal orientations * relative to the Left side of the rectangle. * Index 0 is the left side, 1 is the right side. */ diagUp0 = new Coordinate(rectEnv.getMinX(), rectEnv.getMinY()); diagUp1 = new Coordinate(rectEnv.getMaxX(), rectEnv.getMaxY()); diagDown0 = new Coordinate(rectEnv.getMinX(), rectEnv.getMaxY()); diagDown1 = new Coordinate(rectEnv.getMaxX(), rectEnv.getMinY()); } /** * Tests whether the query rectangle intersects a * given line segment. * * @param p0 the first endpoint of the segment * @param p1 the second endpoint of the segment * @return true if the rectangle intersects the segment */ public boolean intersects(Coordinate p0, Coordinate p1) { // TODO: confirm that checking envelopes first is faster /** * If the segment envelope is disjoint from the * rectangle envelope, there is no intersection */ Envelope segEnv = new Envelope(p0, p1); if (! rectEnv.intersects(segEnv)) return false; /** * If either segment endpoint lies in the rectangle, * there is an intersection. */ if (rectEnv.intersects(p0)) return true; if (rectEnv.intersects(p1)) return true; /** * Normalize segment. * This makes p0 less than p1, * so that the segment runs to the right, * or vertically upwards. */ if (p0.compareTo(p1) > 0) { Coordinate tmp = p0; p0 = p1; p1 = tmp; } /** * Compute angle of segment. * Since the segment is normalized to run left to right, * it is sufficient to simply test the Y ordinate. * "Upwards" means relative to the left end of the segment. */ boolean isSegUpwards = false; if (p1.y > p0.y) isSegUpwards = true; /** * Since we now know that neither segment endpoint * lies in the rectangle, there are two possible * situations: * 1) the segment is disjoint to the rectangle * 2) the segment crosses the rectangle completely. * * In the case of a crossing, the segment must intersect * a diagonal of the rectangle. * * To distinguish these two cases, it is sufficient * to test intersection with * a single diagonal of the rectangle, * namely the one with slope "opposite" to the slope * of the segment. * (Note that if the segment is axis-parallel, * it must intersect both diagonals, so this is * still sufficient.) */ if (isSegUpwards) { li.computeIntersection(p0, p1, diagDown0, diagDown1); } else { li.computeIntersection(p0, p1, diagUp0, diagUp1); } if (li.hasIntersection()) return true; return false; } }





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