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package java.awt;

import java.awt.geom.AffineTransform;
import java.awt.geom.PathIterator;
import java.awt.geom.Point2D;
import java.awt.geom.Rectangle2D;
import sun.awt.geom.Crossings;
import java.util.Arrays;

The Polygon class encapsulates a description of a closed, two-dimensional region within a coordinate space. This region is bounded by an arbitrary number of line segments, each of which is one side of the polygon. Internally, a polygon comprises of a list of (x,y) coordinate pairs, where each pair defines a vertex of the polygon, and two successive pairs are the endpoints of a line that is a side of the polygon. The first and final pairs of (x,y) points are joined by a line segment that closes the polygon. This Polygon is defined with an even-odd winding rule. See WIND_EVEN_ODD for a definition of the even-odd winding rule. This class's hit-testing methods, which include the contains, intersects and inside methods, use the insideness definition described in the Shape class comments.
Author: Sami Shaio, Herb Jellinek
See Also:
Since: 1.0
/** * The {@code Polygon} class encapsulates a description of a * closed, two-dimensional region within a coordinate space. This * region is bounded by an arbitrary number of line segments, each of * which is one side of the polygon. Internally, a polygon * comprises of a list of {@code (x,y)} * coordinate pairs, where each pair defines a <i>vertex</i> of the * polygon, and two successive pairs are the endpoints of a * line that is a side of the polygon. The first and final * pairs of {@code (x,y)} points are joined by a line segment * that closes the polygon. This {@code Polygon} is defined with * an even-odd winding rule. See * {@link java.awt.geom.PathIterator#WIND_EVEN_ODD WIND_EVEN_ODD} * for a definition of the even-odd winding rule. * This class's hit-testing methods, which include the * {@code contains}, {@code intersects} and {@code inside} * methods, use the <i>insideness</i> definition described in the * {@link Shape} class comments. * * @author Sami Shaio * @see Shape * @author Herb Jellinek * @since 1.0 */
public class Polygon implements Shape, java.io.Serializable {
The total number of points. The value of npoints represents the number of valid points in this Polygon and might be less than the number of elements in xpoints or ypoints. This value can be 0.
See Also:
@serial
Since:1.0
/** * The total number of points. The value of {@code npoints} * represents the number of valid points in this {@code Polygon} * and might be less than the number of elements in * {@link #xpoints xpoints} or {@link #ypoints ypoints}. * This value can be 0. * * @serial * @see #addPoint(int, int) * @since 1.0 */
public int npoints;
The array of X coordinates. The number of elements in this array might be more than the number of X coordinates in this Polygon. The extra elements allow new points to be added to this Polygon without re-creating this array. The value of npoints is equal to the number of valid points in this Polygon.
See Also:
@serial
Since:1.0
/** * The array of X coordinates. The number of elements in * this array might be more than the number of X coordinates * in this {@code Polygon}. The extra elements allow new points * to be added to this {@code Polygon} without re-creating this * array. The value of {@link #npoints npoints} is equal to the * number of valid points in this {@code Polygon}. * * @serial * @see #addPoint(int, int) * @since 1.0 */
public int xpoints[];
The array of Y coordinates. The number of elements in this array might be more than the number of Y coordinates in this Polygon. The extra elements allow new points to be added to this Polygon without re-creating this array. The value of npoints is equal to the number of valid points in this Polygon.
See Also:
@serial
Since:1.0
/** * The array of Y coordinates. The number of elements in * this array might be more than the number of Y coordinates * in this {@code Polygon}. The extra elements allow new points * to be added to this {@code Polygon} without re-creating this * array. The value of {@code npoints} is equal to the * number of valid points in this {@code Polygon}. * * @serial * @see #addPoint(int, int) * @since 1.0 */
public int ypoints[];
The bounds of this Polygon. This value can be null.
See Also:
@serial
Since:1.0
/** * The bounds of this {@code Polygon}. * This value can be null. * * @serial * @see #getBoundingBox() * @see #getBounds() * @since 1.0 */
protected Rectangle bounds; /* * JDK 1.1 serialVersionUID */ private static final long serialVersionUID = -6460061437900069969L; /* * Default length for xpoints and ypoints. */ private static final int MIN_LENGTH = 4;
Creates an empty polygon.
Since:1.0
/** * Creates an empty polygon. * @since 1.0 */
public Polygon() { xpoints = new int[MIN_LENGTH]; ypoints = new int[MIN_LENGTH]; }
Constructs and initializes a Polygon from the specified parameters.
Params:
  • xpoints – an array of X coordinates
  • ypoints – an array of Y coordinates
  • npoints – the total number of points in the Polygon
Throws:
Since:1.0
/** * Constructs and initializes a {@code Polygon} from the specified * parameters. * @param xpoints an array of X coordinates * @param ypoints an array of Y coordinates * @param npoints the total number of points in the * {@code Polygon} * @exception NegativeArraySizeException if the value of * {@code npoints} is negative. * @exception IndexOutOfBoundsException if {@code npoints} is * greater than the length of {@code xpoints} * or the length of {@code ypoints}. * @exception NullPointerException if {@code xpoints} or * {@code ypoints} is {@code null}. * @since 1.0 */
public Polygon(int xpoints[], int ypoints[], int npoints) { // Fix 4489009: should throw IndexOutOfBoundsException instead // of OutOfMemoryError if npoints is huge and > {x,y}points.length if (npoints > xpoints.length || npoints > ypoints.length) { throw new IndexOutOfBoundsException("npoints > xpoints.length || "+ "npoints > ypoints.length"); } // Fix 6191114: should throw NegativeArraySizeException with // negative npoints if (npoints < 0) { throw new NegativeArraySizeException("npoints < 0"); } // Fix 6343431: Applet compatibility problems if arrays are not // exactly npoints in length this.npoints = npoints; this.xpoints = Arrays.copyOf(xpoints, npoints); this.ypoints = Arrays.copyOf(ypoints, npoints); }
Resets this Polygon object to an empty polygon. The coordinate arrays and the data in them are left untouched but the number of points is reset to zero to mark the old vertex data as invalid and to start accumulating new vertex data at the beginning. All internally-cached data relating to the old vertices are discarded. Note that since the coordinate arrays from before the reset are reused, creating a new empty Polygon might be more memory efficient than resetting the current one if the number of vertices in the new polygon data is significantly smaller than the number of vertices in the data from before the reset.
See Also:
Since:1.4
/** * Resets this {@code Polygon} object to an empty polygon. * The coordinate arrays and the data in them are left untouched * but the number of points is reset to zero to mark the old * vertex data as invalid and to start accumulating new vertex * data at the beginning. * All internally-cached data relating to the old vertices * are discarded. * Note that since the coordinate arrays from before the reset * are reused, creating a new empty {@code Polygon} might * be more memory efficient than resetting the current one if * the number of vertices in the new polygon data is significantly * smaller than the number of vertices in the data from before the * reset. * @see java.awt.Polygon#invalidate * @since 1.4 */
public void reset() { npoints = 0; bounds = null; }
Invalidates or flushes any internally-cached data that depends on the vertex coordinates of this Polygon. This method should be called after any direct manipulation of the coordinates in the xpoints or ypoints arrays to avoid inconsistent results from methods such as getBounds or contains that might cache data from earlier computations relating to the vertex coordinates.
See Also:
Since:1.4
/** * Invalidates or flushes any internally-cached data that depends * on the vertex coordinates of this {@code Polygon}. * This method should be called after any direct manipulation * of the coordinates in the {@code xpoints} or * {@code ypoints} arrays to avoid inconsistent results * from methods such as {@code getBounds} or {@code contains} * that might cache data from earlier computations relating to * the vertex coordinates. * @see java.awt.Polygon#getBounds * @since 1.4 */
public void invalidate() { bounds = null; }
Translates the vertices of the Polygon by deltaX along the x axis and by deltaY along the y axis.
Params:
  • deltaX – the amount to translate along the X axis
  • deltaY – the amount to translate along the Y axis
Since:1.1
/** * Translates the vertices of the {@code Polygon} by * {@code deltaX} along the x axis and by * {@code deltaY} along the y axis. * @param deltaX the amount to translate along the X axis * @param deltaY the amount to translate along the Y axis * @since 1.1 */
public void translate(int deltaX, int deltaY) { for (int i = 0; i < npoints; i++) { xpoints[i] += deltaX; ypoints[i] += deltaY; } if (bounds != null) { bounds.translate(deltaX, deltaY); } } /* * Calculates the bounding box of the points passed to the constructor. * Sets {@code bounds} to the result. * @param xpoints[] array of <i>x</i> coordinates * @param ypoints[] array of <i>y</i> coordinates * @param npoints the total number of points */ void calculateBounds(int xpoints[], int ypoints[], int npoints) { int boundsMinX = Integer.MAX_VALUE; int boundsMinY = Integer.MAX_VALUE; int boundsMaxX = Integer.MIN_VALUE; int boundsMaxY = Integer.MIN_VALUE; for (int i = 0; i < npoints; i++) { int x = xpoints[i]; boundsMinX = Math.min(boundsMinX, x); boundsMaxX = Math.max(boundsMaxX, x); int y = ypoints[i]; boundsMinY = Math.min(boundsMinY, y); boundsMaxY = Math.max(boundsMaxY, y); } bounds = new Rectangle(boundsMinX, boundsMinY, boundsMaxX - boundsMinX, boundsMaxY - boundsMinY); } /* * Resizes the bounding box to accommodate the specified coordinates. * @param x,&nbsp;y the specified coordinates */ void updateBounds(int x, int y) { if (x < bounds.x) { bounds.width = bounds.width + (bounds.x - x); bounds.x = x; } else { bounds.width = Math.max(bounds.width, x - bounds.x); // bounds.x = bounds.x; } if (y < bounds.y) { bounds.height = bounds.height + (bounds.y - y); bounds.y = y; } else { bounds.height = Math.max(bounds.height, y - bounds.y); // bounds.y = bounds.y; } }
Appends the specified coordinates to this Polygon.

If an operation that calculates the bounding box of this Polygon has already been performed, such as getBounds or contains, then this method updates the bounding box.

Params:
  • x – the specified X coordinate
  • y – the specified Y coordinate
See Also:
Since:1.0
/** * Appends the specified coordinates to this {@code Polygon}. * <p> * If an operation that calculates the bounding box of this * {@code Polygon} has already been performed, such as * {@code getBounds} or {@code contains}, then this * method updates the bounding box. * @param x the specified X coordinate * @param y the specified Y coordinate * @see java.awt.Polygon#getBounds * @see java.awt.Polygon#contains * @since 1.0 */
public void addPoint(int x, int y) { if (npoints >= xpoints.length || npoints >= ypoints.length) { int newLength = npoints * 2; // Make sure that newLength will be greater than MIN_LENGTH and // aligned to the power of 2 if (newLength < MIN_LENGTH) { newLength = MIN_LENGTH; } else if ((newLength & (newLength - 1)) != 0) { newLength = Integer.highestOneBit(newLength); } xpoints = Arrays.copyOf(xpoints, newLength); ypoints = Arrays.copyOf(ypoints, newLength); } xpoints[npoints] = x; ypoints[npoints] = y; npoints++; if (bounds != null) { updateBounds(x, y); } }
Gets the bounding box of this Polygon. The bounding box is the smallest Rectangle whose sides are parallel to the x and y axes of the coordinate space, and can completely contain the Polygon.
Returns:a Rectangle that defines the bounds of this Polygon.
Since:1.1
/** * Gets the bounding box of this {@code Polygon}. * The bounding box is the smallest {@link Rectangle} whose * sides are parallel to the x and y axes of the * coordinate space, and can completely contain the {@code Polygon}. * @return a {@code Rectangle} that defines the bounds of this * {@code Polygon}. * @since 1.1 */
public Rectangle getBounds() { return getBoundingBox(); }
Returns the bounds of this Polygon.
Returns:the bounds of this Polygon.
Deprecated:As of JDK version 1.1, replaced by getBounds().
Since:1.0
/** * Returns the bounds of this {@code Polygon}. * @return the bounds of this {@code Polygon}. * @deprecated As of JDK version 1.1, * replaced by {@code getBounds()}. * @since 1.0 */
@Deprecated public Rectangle getBoundingBox() { if (npoints == 0) { return new Rectangle(); } if (bounds == null) { calculateBounds(xpoints, ypoints, npoints); } return bounds.getBounds(); }
Determines whether the specified Point is inside this Polygon.
Params:
  • p – the specified Point to be tested
See Also:
Returns:true if the Polygon contains the Point; false otherwise.
Since:1.0
/** * Determines whether the specified {@link Point} is inside this * {@code Polygon}. * @param p the specified {@code Point} to be tested * @return {@code true} if the {@code Polygon} contains the * {@code Point}; {@code false} otherwise. * @see #contains(double, double) * @since 1.0 */
public boolean contains(Point p) { return contains(p.x, p.y); }
Determines whether the specified coordinates are inside this Polygon.
Params:
  • x – the specified X coordinate to be tested
  • y – the specified Y coordinate to be tested
See Also:
Returns:true if this Polygon contains the specified coordinates (x,y); false otherwise.
Since:1.1
/** * Determines whether the specified coordinates are inside this * {@code Polygon}. * * @param x the specified X coordinate to be tested * @param y the specified Y coordinate to be tested * @return {@code true} if this {@code Polygon} contains * the specified coordinates {@code (x,y)}; * {@code false} otherwise. * @see #contains(double, double) * @since 1.1 */
public boolean contains(int x, int y) { return contains((double) x, (double) y); }
Determines whether the specified coordinates are contained in this Polygon.
Params:
  • x – the specified X coordinate to be tested
  • y – the specified Y coordinate to be tested
See Also:
Returns:true if this Polygon contains the specified coordinates (x,y); false otherwise.
Deprecated:As of JDK version 1.1, replaced by contains(int, int).
Since:1.0
/** * Determines whether the specified coordinates are contained in this * {@code Polygon}. * @param x the specified X coordinate to be tested * @param y the specified Y coordinate to be tested * @return {@code true} if this {@code Polygon} contains * the specified coordinates {@code (x,y)}; * {@code false} otherwise. * @see #contains(double, double) * @deprecated As of JDK version 1.1, * replaced by {@code contains(int, int)}. * @since 1.0 */
@Deprecated public boolean inside(int x, int y) { return contains((double) x, (double) y); }
{@inheritDoc}
Since:1.2
/** * {@inheritDoc} * @since 1.2 */
public Rectangle2D getBounds2D() { return getBounds(); }
{@inheritDoc}
Since:1.2
/** * {@inheritDoc} * @since 1.2 */
public boolean contains(double x, double y) { if (npoints <= 2 || !getBoundingBox().contains(x, y)) { return false; } int hits = 0; int lastx = xpoints[npoints - 1]; int lasty = ypoints[npoints - 1]; int curx, cury; // Walk the edges of the polygon for (int i = 0; i < npoints; lastx = curx, lasty = cury, i++) { curx = xpoints[i]; cury = ypoints[i]; if (cury == lasty) { continue; } int leftx; if (curx < lastx) { if (x >= lastx) { continue; } leftx = curx; } else { if (x >= curx) { continue; } leftx = lastx; } double test1, test2; if (cury < lasty) { if (y < cury || y >= lasty) { continue; } if (x < leftx) { hits++; continue; } test1 = x - curx; test2 = y - cury; } else { if (y < lasty || y >= cury) { continue; } if (x < leftx) { hits++; continue; } test1 = x - lastx; test2 = y - lasty; } if (test1 < (test2 / (lasty - cury) * (lastx - curx))) { hits++; } } return ((hits & 1) != 0); } private Crossings getCrossings(double xlo, double ylo, double xhi, double yhi) { Crossings cross = new Crossings.EvenOdd(xlo, ylo, xhi, yhi); int lastx = xpoints[npoints - 1]; int lasty = ypoints[npoints - 1]; int curx, cury; // Walk the edges of the polygon for (int i = 0; i < npoints; i++) { curx = xpoints[i]; cury = ypoints[i]; if (cross.accumulateLine(lastx, lasty, curx, cury)) { return null; } lastx = curx; lasty = cury; } return cross; }
{@inheritDoc}
Since:1.2
/** * {@inheritDoc} * @since 1.2 */
public boolean contains(Point2D p) { return contains(p.getX(), p.getY()); }
{@inheritDoc}
Since:1.2
/** * {@inheritDoc} * @since 1.2 */
public boolean intersects(double x, double y, double w, double h) { if (npoints <= 0 || !getBoundingBox().intersects(x, y, w, h)) { return false; } Crossings cross = getCrossings(x, y, x+w, y+h); return (cross == null || !cross.isEmpty()); }
{@inheritDoc}
Since:1.2
/** * {@inheritDoc} * @since 1.2 */
public boolean intersects(Rectangle2D r) { return intersects(r.getX(), r.getY(), r.getWidth(), r.getHeight()); }
{@inheritDoc}
Since:1.2
/** * {@inheritDoc} * @since 1.2 */
public boolean contains(double x, double y, double w, double h) { if (npoints <= 0 || !getBoundingBox().intersects(x, y, w, h)) { return false; } Crossings cross = getCrossings(x, y, x+w, y+h); return (cross != null && cross.covers(y, y+h)); }
{@inheritDoc}
Since:1.2
/** * {@inheritDoc} * @since 1.2 */
public boolean contains(Rectangle2D r) { return contains(r.getX(), r.getY(), r.getWidth(), r.getHeight()); }
Returns an iterator object that iterates along the boundary of this Polygon and provides access to the geometry of the outline of this Polygon. An optional AffineTransform can be specified so that the coordinates returned in the iteration are transformed accordingly.
Params:
  • at – an optional AffineTransform to be applied to the coordinates as they are returned in the iteration, or null if untransformed coordinates are desired
Returns:a PathIterator object that provides access to the geometry of this Polygon.
Since:1.2
/** * Returns an iterator object that iterates along the boundary of this * {@code Polygon} and provides access to the geometry * of the outline of this {@code Polygon}. An optional * {@link AffineTransform} can be specified so that the coordinates * returned in the iteration are transformed accordingly. * @param at an optional {@code AffineTransform} to be applied to the * coordinates as they are returned in the iteration, or * {@code null} if untransformed coordinates are desired * @return a {@link PathIterator} object that provides access to the * geometry of this {@code Polygon}. * @since 1.2 */
public PathIterator getPathIterator(AffineTransform at) { return new PolygonPathIterator(this, at); }
Returns an iterator object that iterates along the boundary of the Shape and provides access to the geometry of the outline of the Shape. Only SEG_MOVETO, SEG_LINETO, and SEG_CLOSE point types are returned by the iterator. Since polygons are already flat, the flatness parameter is ignored. An optional AffineTransform can be specified in which case the coordinates returned in the iteration are transformed accordingly.
Params:
  • at – an optional AffineTransform to be applied to the coordinates as they are returned in the iteration, or null if untransformed coordinates are desired
  • flatness – the maximum amount that the control points for a given curve can vary from collinear before a subdivided curve is replaced by a straight line connecting the endpoints. Since polygons are already flat the flatness parameter is ignored.
Returns:a PathIterator object that provides access to the Shape object's geometry.
Since:1.2
/** * Returns an iterator object that iterates along the boundary of * the {@code Shape} and provides access to the geometry of the * outline of the {@code Shape}. Only SEG_MOVETO, SEG_LINETO, and * SEG_CLOSE point types are returned by the iterator. * Since polygons are already flat, the {@code flatness} parameter * is ignored. An optional {@code AffineTransform} can be specified * in which case the coordinates returned in the iteration are transformed * accordingly. * @param at an optional {@code AffineTransform} to be applied to the * coordinates as they are returned in the iteration, or * {@code null} if untransformed coordinates are desired * @param flatness the maximum amount that the control points * for a given curve can vary from collinear before a subdivided * curve is replaced by a straight line connecting the * endpoints. Since polygons are already flat the * {@code flatness} parameter is ignored. * @return a {@code PathIterator} object that provides access to the * {@code Shape} object's geometry. * @since 1.2 */
public PathIterator getPathIterator(AffineTransform at, double flatness) { return getPathIterator(at); } class PolygonPathIterator implements PathIterator { Polygon poly; AffineTransform transform; int index; public PolygonPathIterator(Polygon pg, AffineTransform at) { poly = pg; transform = at; if (pg.npoints == 0) { // Prevent a spurious SEG_CLOSE segment index = 1; } }
Returns the winding rule for determining the interior of the path.
See Also:
Returns:an integer representing the current winding rule.
/** * Returns the winding rule for determining the interior of the * path. * @return an integer representing the current winding rule. * @see PathIterator#WIND_NON_ZERO */
public int getWindingRule() { return WIND_EVEN_ODD; }
Tests if there are more points to read.
Returns:true if there are more points to read; false otherwise.
/** * Tests if there are more points to read. * @return {@code true} if there are more points to read; * {@code false} otherwise. */
public boolean isDone() { return index > poly.npoints; }
Moves the iterator forwards, along the primary direction of traversal, to the next segment of the path when there are more points in that direction.
/** * Moves the iterator forwards, along the primary direction of * traversal, to the next segment of the path when there are * more points in that direction. */
public void next() { index++; }
Returns the coordinates and type of the current path segment in the iteration. The return value is the path segment type: SEG_MOVETO, SEG_LINETO, or SEG_CLOSE. A float array of length 2 must be passed in and can be used to store the coordinates of the point(s). Each point is stored as a pair of float x, y coordinates. SEG_MOVETO and SEG_LINETO types return one point, and SEG_CLOSE does not return any points.
Params:
  • coords – a float array that specifies the coordinates of the point(s)
See Also:
Returns:an integer representing the type and coordinates of the current path segment.
/** * Returns the coordinates and type of the current path segment in * the iteration. * The return value is the path segment type: * SEG_MOVETO, SEG_LINETO, or SEG_CLOSE. * A {@code float} array of length 2 must be passed in and * can be used to store the coordinates of the point(s). * Each point is stored as a pair of {@code float} x,&nbsp;y * coordinates. SEG_MOVETO and SEG_LINETO types return one * point, and SEG_CLOSE does not return any points. * @param coords a {@code float} array that specifies the * coordinates of the point(s) * @return an integer representing the type and coordinates of the * current path segment. * @see PathIterator#SEG_MOVETO * @see PathIterator#SEG_LINETO * @see PathIterator#SEG_CLOSE */
public int currentSegment(float[] coords) { if (index >= poly.npoints) { return SEG_CLOSE; } coords[0] = poly.xpoints[index]; coords[1] = poly.ypoints[index]; if (transform != null) { transform.transform(coords, 0, coords, 0, 1); } return (index == 0 ? SEG_MOVETO : SEG_LINETO); }
Returns the coordinates and type of the current path segment in the iteration. The return value is the path segment type: SEG_MOVETO, SEG_LINETO, or SEG_CLOSE. A double array of length 2 must be passed in and can be used to store the coordinates of the point(s). Each point is stored as a pair of double x, y coordinates. SEG_MOVETO and SEG_LINETO types return one point, and SEG_CLOSE does not return any points.
Params:
  • coords – a double array that specifies the coordinates of the point(s)
See Also:
Returns:an integer representing the type and coordinates of the current path segment.
/** * Returns the coordinates and type of the current path segment in * the iteration. * The return value is the path segment type: * SEG_MOVETO, SEG_LINETO, or SEG_CLOSE. * A {@code double} array of length 2 must be passed in and * can be used to store the coordinates of the point(s). * Each point is stored as a pair of {@code double} x,&nbsp;y * coordinates. * SEG_MOVETO and SEG_LINETO types return one point, * and SEG_CLOSE does not return any points. * @param coords a {@code double} array that specifies the * coordinates of the point(s) * @return an integer representing the type and coordinates of the * current path segment. * @see PathIterator#SEG_MOVETO * @see PathIterator#SEG_LINETO * @see PathIterator#SEG_CLOSE */
public int currentSegment(double[] coords) { if (index >= poly.npoints) { return SEG_CLOSE; } coords[0] = poly.xpoints[index]; coords[1] = poly.ypoints[index]; if (transform != null) { transform.transform(coords, 0, coords, 0, 1); } return (index == 0 ? SEG_MOVETO : SEG_LINETO); } } }