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-/* Polygon.java -- class representing a polygon
- Copyright (C) 1999, 2002, 2004, 2005 Free Software Foundation, Inc.
-
-This file is part of GNU Classpath.
-
-GNU Classpath is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2, or (at your option)
-any later version.
-
-GNU Classpath 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
-General Public License for more details.
-
-You should have received a copy of the GNU General Public License
-along with GNU Classpath; see the file COPYING. If not, write to the
-Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
-02110-1301 USA.
-
-Linking this library statically or dynamically with other modules is
-making a combined work based on this library. Thus, the terms and
-conditions of the GNU General Public License cover the whole
-combination.
-
-As a special exception, the copyright holders of this library give you
-permission to link this library with independent modules to produce an
-executable, regardless of the license terms of these independent
-modules, and to copy and distribute the resulting executable under
-terms of your choice, provided that you also meet, for each linked
-independent module, the terms and conditions of the license of that
-module. An independent module is a module which is not derived from
-or based on this library. If you modify this library, you may extend
-this exception to your version of the library, but you are not
-obligated to do so. If you do not wish to do so, delete this
-exception statement from your version. */
-
-
-package java.awt;
-
-import java.awt.geom.AffineTransform;
-import java.awt.geom.Line2D;
-import java.awt.geom.PathIterator;
-import java.awt.geom.Point2D;
-import java.awt.geom.Rectangle2D;
-import java.io.Serializable;
-
-/**
- * This class represents a polygon, a closed, two-dimensional region in a
- * coordinate space. The region is bounded by an arbitrary number of line
- * segments, between (x,y) coordinate vertices. The polygon has even-odd
- * winding, meaning that a point is inside the shape if it crosses the
- * boundary an odd number of times on the way to infinity.
- *
- * <p>There are some public fields; if you mess with them in an inconsistent
- * manner, it is your own fault when you get NullPointerException,
- * ArrayIndexOutOfBoundsException, or invalid results. Also, this class is
- * not threadsafe.
- *
- * @author Aaron M. Renn (arenn@urbanophile.com)
- * @author Eric Blake (ebb9@email.byu.edu)
- * @since 1.0
- * @status updated to 1.4
- */
-public class Polygon implements Shape, Serializable
-{
- /**
- * Compatible with JDK 1.0+.
- */
- private static final long serialVersionUID = -6460061437900069969L;
-
- /**
- * This total number of endpoints.
- *
- * @serial the number of endpoints, possibly less than the array sizes
- */
- public int npoints;
-
- /**
- * The array of X coordinates of endpoints. This should not be null.
- *
- * @see #addPoint(int, int)
- * @serial the x coordinates
- */
- public int[] xpoints;
-
- /**
- * The array of Y coordinates of endpoints. This should not be null.
- *
- * @see #addPoint(int, int)
- * @serial the y coordinates
- */
- public int[] ypoints;
-
- /**
- * The bounding box of this polygon. This is lazily created and cached, so
- * it must be invalidated after changing points.
- *
- * @see #getBounds()
- * @serial the bounding box, or null
- */
- protected Rectangle bounds;
-
- /** A big number, but not so big it can't survive a few float operations */
- private static final double BIG_VALUE = java.lang.Double.MAX_VALUE / 10.0;
-
- /**
- * Initializes an empty polygon.
- */
- public Polygon()
- {
- // Leave room for growth.
- xpoints = new int[4];
- ypoints = new int[4];
- }
-
- /**
- * Create a new polygon with the specified endpoints. The arrays are copied,
- * so that future modifications to the parameters do not affect the polygon.
- *
- * @param xpoints the array of X coordinates for this polygon
- * @param ypoints the array of Y coordinates for this polygon
- * @param npoints the total number of endpoints in this polygon
- * @throws NegativeArraySizeException if npoints is negative
- * @throws IndexOutOfBoundsException if npoints exceeds either array
- * @throws NullPointerException if xpoints or ypoints is null
- */
- public Polygon(int[] xpoints, int[] ypoints, int npoints)
- {
- this.xpoints = new int[npoints];
- this.ypoints = new int[npoints];
- System.arraycopy(xpoints, 0, this.xpoints, 0, npoints);
- System.arraycopy(ypoints, 0, this.ypoints, 0, npoints);
- this.npoints = npoints;
- }
-
- /**
- * Reset the polygon to be empty. The arrays are left alone, to avoid object
- * allocation, but the number of points is set to 0, and all cached data
- * is discarded. If you are discarding a huge number of points, it may be
- * more efficient to just create a new Polygon.
- *
- * @see #invalidate()
- * @since 1.4
- */
- public void reset()
- {
- npoints = 0;
- invalidate();
- }
-
- /**
- * Invalidate or flush all cached data. After direct manipulation of the
- * public member fields, this is necessary to avoid inconsistent results
- * in methods like <code>contains</code>.
- *
- * @see #getBounds()
- * @since 1.4
- */
- public void invalidate()
- {
- bounds = null;
- }
-
- /**
- * Translates the polygon by adding the specified values to all X and Y
- * coordinates. This updates the bounding box, if it has been calculated.
- *
- * @param dx the amount to add to all X coordinates
- * @param dy the amount to add to all Y coordinates
- * @since 1.1
- */
- public void translate(int dx, int dy)
- {
- int i = npoints;
- while (--i >= 0)
- {
- xpoints[i] += dx;
- ypoints[i] += dy;
- }
- if (bounds != null)
- {
- bounds.x += dx;
- bounds.y += dy;
- }
- }
-
- /**
- * Adds the specified endpoint to the polygon. This updates the bounding
- * box, if it has been created.
- *
- * @param x the X coordinate of the point to add
- * @param y the Y coordiante of the point to add
- */
- public void addPoint(int x, int y)
- {
- if (npoints + 1 > xpoints.length)
- {
- int[] newx = new int[npoints + 1];
- System.arraycopy(xpoints, 0, newx, 0, npoints);
- xpoints = newx;
- }
- if (npoints + 1 > ypoints.length)
- {
- int[] newy = new int[npoints + 1];
- System.arraycopy(ypoints, 0, newy, 0, npoints);
- ypoints = newy;
- }
- xpoints[npoints] = x;
- ypoints[npoints] = y;
- npoints++;
- if (bounds != null)
- {
- if (npoints == 1)
- {
- bounds.x = x;
- bounds.y = y;
- }
- else
- {
- if (x < bounds.x)
- {
- bounds.width += bounds.x - x;
- bounds.x = x;
- }
- else if (x > bounds.x + bounds.width)
- bounds.width = x - bounds.x;
- if (y < bounds.y)
- {
- bounds.height += bounds.y - y;
- bounds.y = y;
- }
- else if (y > bounds.y + bounds.height)
- bounds.height = y - bounds.y;
- }
- }
- }
-
- /**
- * Returns the bounding box of this polygon. This is the smallest
- * rectangle with sides parallel to the X axis that will contain this
- * polygon.
- *
- * @return the bounding box for this polygon
- * @see #getBounds2D()
- * @since 1.1
- */
- public Rectangle getBounds()
- {
- return getBoundingBox();
- }
-
- /**
- * Returns the bounding box of this polygon. This is the smallest
- * rectangle with sides parallel to the X axis that will contain this
- * polygon.
- *
- * @return the bounding box for this polygon
- * @see #getBounds2D()
- * @deprecated use {@link #getBounds()} instead
- */
- public Rectangle getBoundingBox()
- {
- if (bounds == null)
- {
- if (npoints == 0)
- return bounds = new Rectangle();
- int i = npoints - 1;
- int minx = xpoints[i];
- int maxx = minx;
- int miny = ypoints[i];
- int maxy = miny;
- while (--i >= 0)
- {
- int x = xpoints[i];
- int y = ypoints[i];
- if (x < minx)
- minx = x;
- else if (x > maxx)
- maxx = x;
- if (y < miny)
- miny = y;
- else if (y > maxy)
- maxy = y;
- }
- bounds = new Rectangle(minx, miny, maxx - minx, maxy - miny);
- }
- return bounds;
- }
-
- /**
- * Tests whether or not the specified point is inside this polygon.
- *
- * @param p the point to test
- * @return true if the point is inside this polygon
- * @throws NullPointerException if p is null
- * @see #contains(double, double)
- */
- public boolean contains(Point p)
- {
- return contains(p.getX(), p.getY());
- }
-
- /**
- * Tests whether or not the specified point is inside this polygon.
- *
- * @param x the X coordinate of the point to test
- * @param y the Y coordinate of the point to test
- * @return true if the point is inside this polygon
- * @see #contains(double, double)
- * @since 1.1
- */
- public boolean contains(int x, int y)
- {
- return contains((double) x, (double) y);
- }
-
- /**
- * Tests whether or not the specified point is inside this polygon.
- *
- * @param x the X coordinate of the point to test
- * @param y the Y coordinate of the point to test
- * @return true if the point is inside this polygon
- * @see #contains(double, double)
- * @deprecated use {@link #contains(int, int)} instead
- */
- public boolean inside(int x, int y)
- {
- return contains((double) x, (double) y);
- }
-
- /**
- * Returns a high-precision bounding box of this polygon. This is the
- * smallest rectangle with sides parallel to the X axis that will contain
- * this polygon.
- *
- * @return the bounding box for this polygon
- * @see #getBounds()
- * @since 1.2
- */
- public Rectangle2D getBounds2D()
- {
- // For polygons, the integer version is exact!
- return getBounds();
- }
-
- /**
- * Tests whether or not the specified point is inside this polygon.
- *
- * @param x the X coordinate of the point to test
- * @param y the Y coordinate of the point to test
- * @return true if the point is inside this polygon
- * @since 1.2
- */
- public boolean contains(double x, double y)
- {
- return ((evaluateCrossings(x, y, false, BIG_VALUE) & 1) != 0);
- }
-
- /**
- * Tests whether or not the specified point is inside this polygon.
- *
- * @param p the point to test
- * @return true if the point is inside this polygon
- * @throws NullPointerException if p is null
- * @see #contains(double, double)
- * @since 1.2
- */
- public boolean contains(Point2D p)
- {
- return contains(p.getX(), p.getY());
- }
-
- /**
- * Test if a high-precision rectangle intersects the shape. This is true
- * if any point in the rectangle is in the shape. This implementation is
- * precise.
- *
- * @param x the x coordinate of the rectangle
- * @param y the y coordinate of the rectangle
- * @param w the width of the rectangle, treated as point if negative
- * @param h the height of the rectangle, treated as point if negative
- * @return true if the rectangle intersects this shape
- * @since 1.2
- */
- public boolean intersects(double x, double y, double w, double h)
- {
- /* Does any edge intersect? */
- if (evaluateCrossings(x, y, false, w) != 0 /* top */
- || evaluateCrossings(x, y + h, false, w) != 0 /* bottom */
- || evaluateCrossings(x + w, y, true, h) != 0 /* right */
- || evaluateCrossings(x, y, true, h) != 0) /* left */
- return true;
-
- /* No intersections, is any point inside? */
- if ((evaluateCrossings(x, y, false, BIG_VALUE) & 1) != 0)
- return true;
-
- return false;
- }
-
- /**
- * Test if a high-precision rectangle intersects the shape. This is true
- * if any point in the rectangle is in the shape. This implementation is
- * precise.
- *
- * @param r the rectangle
- * @return true if the rectangle intersects this shape
- * @throws NullPointerException if r is null
- * @see #intersects(double, double, double, double)
- * @since 1.2
- */
- public boolean intersects(Rectangle2D r)
- {
- return intersects(r.getX(), r.getY(), r.getWidth(), r.getHeight());
- }
-
- /**
- * Test if a high-precision rectangle lies completely in the shape. This is
- * true if all points in the rectangle are in the shape. This implementation
- * is precise.
- *
- * @param x the x coordinate of the rectangle
- * @param y the y coordinate of the rectangle
- * @param w the width of the rectangle, treated as point if negative
- * @param h the height of the rectangle, treated as point if negative
- * @return true if the rectangle is contained in this shape
- * @since 1.2
- */
- public boolean contains(double x, double y, double w, double h)
- {
- if (! getBounds2D().intersects(x, y, w, h))
- return false;
-
- /* Does any edge intersect? */
- if (evaluateCrossings(x, y, false, w) != 0 /* top */
- || evaluateCrossings(x, y + h, false, w) != 0 /* bottom */
- || evaluateCrossings(x + w, y, true, h) != 0 /* right */
- || evaluateCrossings(x, y, true, h) != 0) /* left */
- return false;
-
- /* No intersections, is any point inside? */
- if ((evaluateCrossings(x, y, false, BIG_VALUE) & 1) != 0)
- return true;
-
- return false;
- }
-
- /**
- * Test if a high-precision rectangle lies completely in the shape. This is
- * true if all points in the rectangle are in the shape. This implementation
- * is precise.
- *
- * @param r the rectangle
- * @return true if the rectangle is contained in this shape
- * @throws NullPointerException if r is null
- * @see #contains(double, double, double, double)
- * @since 1.2
- */
- public boolean contains(Rectangle2D r)
- {
- return contains(r.getX(), r.getY(), r.getWidth(), r.getHeight());
- }
-
- /**
- * Return an iterator along the shape boundary. If the optional transform
- * is provided, the iterator is transformed accordingly. Each call returns
- * a new object, independent from others in use. This class is not
- * threadsafe to begin with, so the path iterator is not either.
- *
- * @param transform an optional transform to apply to the iterator
- * @return a new iterator over the boundary
- * @since 1.2
- */
- public PathIterator getPathIterator(final AffineTransform transform)
- {
- return new PathIterator()
- {
- /** The current vertex of iteration. */
- private int vertex;
-
- public int getWindingRule()
- {
- return WIND_EVEN_ODD;
- }
-
- public boolean isDone()
- {
- return vertex > npoints;
- }
-
- public void next()
- {
- vertex++;
- }
-
- public int currentSegment(float[] coords)
- {
- if (vertex >= npoints)
- return SEG_CLOSE;
- coords[0] = xpoints[vertex];
- coords[1] = ypoints[vertex];
- if (transform != null)
- transform.transform(coords, 0, coords, 0, 1);
- return vertex == 0 ? SEG_MOVETO : SEG_LINETO;
- }
-
- public int currentSegment(double[] coords)
- {
- if (vertex >= npoints)
- return SEG_CLOSE;
- coords[0] = xpoints[vertex];
- coords[1] = ypoints[vertex];
- if (transform != null)
- transform.transform(coords, 0, coords, 0, 1);
- return vertex == 0 ? SEG_MOVETO : SEG_LINETO;
- }
- };
- }
-
- /**
- * Return an iterator along the flattened version of the shape boundary.
- * Since polygons are already flat, the flatness parameter is ignored, and
- * the resulting iterator only has SEG_MOVETO, SEG_LINETO and SEG_CLOSE
- * points. If the optional transform is provided, the iterator is
- * transformed accordingly. Each call returns a new object, independent
- * from others in use. This class is not threadsafe to begin with, so the
- * path iterator is not either.
- *
- * @param transform an optional transform to apply to the iterator
- * @param flatness the maximum distance for deviation from the real boundary
- * @return a new iterator over the boundary
- * @since 1.2
- */
- public PathIterator getPathIterator(AffineTransform transform,
- double flatness)
- {
- return getPathIterator(transform);
- }
-
- /**
- * Helper for contains, intersects, calculates the number of intersections
- * between the polygon and a line extending from the point (x, y) along
- * the positive X, or Y axis, within a given interval.
- *
- * @return the winding number.
- * @see #condensed
- * @see #contains(double, double)
- */
- private int evaluateCrossings(double x, double y, boolean useYaxis,
- double distance)
- {
- double x0;
- double x1;
- double y0;
- double y1;
- double epsilon = 0.0;
- int crossings = 0;
- int[] xp;
- int[] yp;
-
- if (useYaxis)
- {
- xp = ypoints;
- yp = xpoints;
- double swap;
- swap = y;
- y = x;
- x = swap;
- }
- else
- {
- xp = xpoints;
- yp = ypoints;
- }
-
- /* Get a value which is small but not insignificant relative the path. */
- epsilon = 1E-7;
-
- x0 = xp[0] - x;
- y0 = yp[0] - y;
- for (int i = 1; i < npoints; i++)
- {
- x1 = xp[i] - x;
- y1 = yp[i] - y;
-
- if (y0 == 0.0)
- y0 -= epsilon;
- if (y1 == 0.0)
- y1 -= epsilon;
- if (y0 * y1 < 0)
- if (Line2D.linesIntersect(x0, y0, x1, y1, epsilon, 0.0, distance, 0.0))
- ++crossings;
-
- x0 = xp[i] - x;
- y0 = yp[i] - y;
- }
-
- // end segment
- x1 = xp[0] - x;
- y1 = yp[0] - y;
- if (y0 == 0.0)
- y0 -= epsilon;
- if (y1 == 0.0)
- y1 -= epsilon;
- if (y0 * y1 < 0)
- if (Line2D.linesIntersect(x0, y0, x1, y1, epsilon, 0.0, distance, 0.0))
- ++crossings;
-
- return crossings;
- }
-} // class Polygon
-