public class Polygon extends Object implements Shape, Serializable
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.Shape, 
Serialized Form| Modifier and Type | Field | Description | 
|---|---|---|
| protected Rectangle | bounds | The bounds of this  Polygon. | 
| int | npoints | The total number of points. | 
| int[] | xpoints | The array of X coordinates. | 
| int[] | ypoints | The array of Y coordinates. | 
| Constructor | Description | 
|---|---|
| Polygon() | Creates an empty polygon. | 
| Polygon(int[] xpoints,
       int[] ypoints,
       int npoints) | Constructs and initializes a  Polygonfrom the specified
 parameters. | 
| Modifier and Type | Method | Description | 
|---|---|---|
| void | addPoint(int x,
        int y) | Appends the specified coordinates to this  Polygon. | 
| boolean | contains(double x,
        double y) | Tests if the specified coordinates are inside the boundary of the
  Shape, as described by the
 
 definition of insideness. | 
| boolean | contains(double x,
        double y,
        double w,
        double h) | Tests if the interior of the  Shapeentirely contains
 the specified rectangular area. | 
| boolean | contains(int x,
        int y) | Determines whether the specified coordinates are inside this
  Polygon. | 
| boolean | contains(Point p) | Determines whether the specified  Pointis inside thisPolygon. | 
| boolean | contains(Point2D p) | Tests if a specified  Point2Dis inside the boundary
 of theShape, as described by the
 
 definition of insideness. | 
| boolean | contains(Rectangle2D r) | Tests if the interior of the  Shapeentirely contains the
 specifiedRectangle2D. | 
| Rectangle | getBoundingBox() | Deprecated. 
 As of JDK version 1.1,
 replaced by  getBounds(). | 
| Rectangle | getBounds() | Gets the bounding box of this  Polygon. | 
| Rectangle2D | getBounds2D() | Returns a high precision and more accurate bounding box of
 the  Shapethan thegetBoundsmethod. | 
| PathIterator | getPathIterator(AffineTransform at) | Returns an iterator object that iterates along the boundary of this
  Polygonand provides access to the geometry
 of the outline of thisPolygon. | 
| PathIterator | getPathIterator(AffineTransform at,
               double flatness) | Returns an iterator object that iterates along the boundary of
 the  Shapeand provides access to the geometry of the
 outline of theShape. | 
| boolean | inside(int x,
      int y) | Deprecated. 
 As of JDK version 1.1,
 replaced by  contains(int, int). | 
| boolean | intersects(double x,
          double y,
          double w,
          double h) | Tests if the interior of the  Shapeintersects the
 interior of a specified rectangular area. | 
| boolean | intersects(Rectangle2D r) | Tests if the interior of the  Shapeintersects the
 interior of a specifiedRectangle2D. | 
| void | invalidate() | Invalidates or flushes any internally-cached data that depends
 on the vertex coordinates of this  Polygon. | 
| void | reset() | Resets this  Polygonobject to an empty polygon. | 
| void | translate(int deltaX,
         int deltaY) | Translates the vertices of the  PolygonbydeltaXalong the x axis and bydeltaYalong the y axis. | 
public int npoints
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 NULL.addPoint(int, int)public int[] xpoints
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.addPoint(int, int)public int[] ypoints
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.addPoint(int, int)protected Rectangle bounds
Polygon.
 This value can be null.getBoundingBox(), 
getBounds()public Polygon()
public Polygon(int[] xpoints,
               int[] ypoints,
               int npoints)
Polygon from the specified
 parameters.xpoints - an array of X coordinatesypoints - an array of Y coordinatesnpoints - the total number of points in the
                          PolygonNegativeArraySizeException - if the value of
                       npoints is negative.IndexOutOfBoundsException - if npoints is
             greater than the length of xpoints
             or the length of ypoints.NullPointerException - if xpoints or
             ypoints is null.public void reset()
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.invalidate()public void invalidate()
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.getBounds()public void translate(int deltaX,
                      int deltaY)
Polygon by
 deltaX along the x axis and by
 deltaY along the y axis.deltaX - the amount to translate along the X axisdeltaY - the amount to translate along the Y axispublic void addPoint(int x,
                     int y)
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.
x - the specified X coordinatey - the specified Y coordinategetBounds(), 
contains(java.awt.Point)public Rectangle getBounds()
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.getBounds in interface ShapeRectangle that defines the bounds of this
 Polygon.Shape.getBounds2D()@Deprecated public Rectangle getBoundingBox()
getBounds().Polygon.Polygon.public boolean contains(Point p)
Point is inside this
 Polygon.p - the specified Point to be testedtrue if the Polygon contains the
                  Point; false otherwise.contains(double, double)public boolean contains(int x,
                        int y)
Polygon.
 x - the specified X coordinate to be testedy - the specified Y coordinate to be testedtrue if this Polygon contains
         the specified coordinates (x,y);
         false otherwise.contains(double, double)@Deprecated public boolean inside(int x, int y)
contains(int, int).Polygon.x - the specified X coordinate to be testedy - the specified Y coordinate to be testedtrue if this Polygon contains
         the specified coordinates (x,y);
         false otherwise.contains(double, double)public Rectangle2D getBounds2D()
Shape than the getBounds method.
 Note that there is no guarantee that the returned
 Rectangle2D is the smallest bounding box that encloses
 the Shape, only that the Shape lies
 entirely within the indicated Rectangle2D.  The
 bounding box returned by this method is usually tighter than that
 returned by the getBounds method and never fails due
 to overflow problems since the return value can be an instance of
 the Rectangle2D that uses double precision values to
 store the dimensions.
 
 Note that the 
 definition of insideness can lead to situations where points
 on the defining outline of the shape may not be considered
 contained in the returned bounds object, but only in cases
 where those points are also not considered contained in the original
 shape.
 
 If a point is inside the shape according to the
 contains(point) method, then it must
 be inside the returned Rectangle2D bounds object according
 to the contains(point) method of the
 bounds. Specifically:
 
  shape.contains(p) requires bounds.contains(p)
 
 If a point is not inside the shape, then it might
 still be contained in the bounds object:
 
  bounds.contains(p) does not imply shape.contains(p)
 
getBounds2D in interface ShapeRectangle2D that is a
                 high-precision bounding box of the Shape.Shape.getBounds()public boolean contains(double x,
                        double y)
Shape, as described by the
 
 definition of insideness.public boolean contains(Point2D p)
Point2D is inside the boundary
 of the Shape, as described by the
 
 definition of insideness.public boolean intersects(double x,
                          double y,
                          double w,
                          double h)
Shape intersects the
 interior of a specified rectangular area.
 The rectangular area is considered to intersect the Shape
 if any point is contained in both the interior of the
 Shape and the specified rectangular area.
 
 The Shape.intersects() method allows a Shape
 implementation to conservatively return true when:
 
Shape intersect, but
 Shapes this method might
 return true even though the rectangular area does not
 intersect the Shape.
 The Area class performs
 more accurate computations of geometric intersection than most
 Shape objects and therefore can be used if a more precise
 answer is required.intersects in interface Shapex - the X coordinate of the upper-left corner
          of the specified rectangular areay - the Y coordinate of the upper-left corner
          of the specified rectangular areaw - the width of the specified rectangular areah - the height of the specified rectangular areatrue if the interior of the Shape and
          the interior of the rectangular area intersect, or are
          both highly likely to intersect and intersection calculations
          would be too expensive to perform; false otherwise.Areapublic boolean intersects(Rectangle2D r)
Shape intersects the
 interior of a specified Rectangle2D.
 The Shape.intersects() method allows a Shape
 implementation to conservatively return true when:
 Rectangle2D and the
 Shape intersect, but
 Shapes this method might
 return true even though the Rectangle2D does not
 intersect the Shape.
 The Area class performs
 more accurate computations of geometric intersection than most
 Shape objects and therefore can be used if a more precise
 answer is required.intersects in interface Shaper - the specified Rectangle2Dtrue if the interior of the Shape and
          the interior of the specified Rectangle2D
          intersect, or are both highly likely to intersect and intersection
          calculations would be too expensive to perform; false
          otherwise.Shape.intersects(double, double, double, double)public boolean contains(double x,
                        double y,
                        double w,
                        double h)
Shape entirely contains
 the specified rectangular area.  All coordinates that lie inside
 the rectangular area must lie within the Shape for the
 entire rectangular area to be considered contained within the
 Shape.
 
 The Shape.contains() method allows a Shape
 implementation to conservatively return false when:
 
intersect method returns true and
 Shape entirely contains the rectangular area are
 prohibitively expensive.
 Shapes this method might
 return false even though the Shape contains
 the rectangular area.
 The Area class performs
 more accurate geometric computations than most
 Shape objects and therefore can be used if a more precise
 answer is required.contains in interface Shapex - the X coordinate of the upper-left corner
          of the specified rectangular areay - the Y coordinate of the upper-left corner
          of the specified rectangular areaw - the width of the specified rectangular areah - the height of the specified rectangular areatrue if the interior of the Shape
          entirely contains the specified rectangular area;
          false otherwise or, if the Shape
          contains the rectangular area and the
          intersects method returns true
          and the containment calculations would be too expensive to
          perform.Area, 
Shape.intersects(double, double, double, double)public boolean contains(Rectangle2D r)
Shape entirely contains the
 specified Rectangle2D.
 The Shape.contains() method allows a Shape
 implementation to conservatively return false when:
 intersect method returns true and
 Shape entirely contains the Rectangle2D
 are prohibitively expensive.
 Shapes this method might
 return false even though the Shape contains
 the Rectangle2D.
 The Area class performs
 more accurate geometric computations than most
 Shape objects and therefore can be used if a more precise
 answer is required.contains in interface Shaper - The specified Rectangle2Dtrue if the interior of the Shape
          entirely contains the Rectangle2D;
          false otherwise or, if the Shape
          contains the Rectangle2D and the
          intersects method returns true
          and the containment calculations would be too expensive to
          perform.Shape.contains(double, double, double, double)public PathIterator getPathIterator(AffineTransform at)
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.getPathIterator in interface Shapeat - an optional AffineTransform to be applied to the
          coordinates as they are returned in the iteration, or
          null if untransformed coordinates are desiredPathIterator object that provides access to the
          geometry of this Polygon.public PathIterator getPathIterator(AffineTransform at, double flatness)
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.getPathIterator in interface Shapeat - an optional AffineTransform to be applied to the
          coordinates as they are returned in the iteration, or
          null if untransformed coordinates are desiredflatness - the maximum amount that the control points
          for a given curve can vary from colinear before a subdivided
          curve is replaced by a straight line connecting the
          endpoints.  Since polygons are already flat the
          flatness parameter is ignored.PathIterator object that provides access to the
          Shape object's geometry. Submit a bug or feature 
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