/*
 * @(#)Rectangle2D.java	1.32 06/02/24
 *
 * Copyright 2006 Sun Microsystems, Inc. All rights reserved.
 * SUN PROPRIETARY/CONFIDENTIAL. Use is subject to license terms.
 */

package java.awt.geom;

import java.io.Serializable;

/**
 * The <code>Rectangle2D</code> class describes a rectangle
 * defined by a location {@code (x,y)} and dimension 
 * {@code (w x h)}.
 * <p>
 * This class is only the abstract superclass for all objects that
 * store a 2D rectangle.
 * The actual storage representation of the coordinates is left to
 * the subclass.
 *
 * @version 	1.32, 02/24/06
 * @author	Jim Graham
 * @since 1.2
 */
public abstract class Rectangle2D extends RectangularShape {
    /**
     * The bitmask that indicates that a point lies to the left of
     * this <code>Rectangle2D</code>.
     * @since 1.2
     */
    public static final int OUT_LEFT = 1;

    /**
     * The bitmask that indicates that a point lies above
     * this <code>Rectangle2D</code>.
     * @since 1.2
     */
    public static final int OUT_TOP = 2;

    /**
     * The bitmask that indicates that a point lies to the right of
     * this <code>Rectangle2D</code>.
     * @since 1.2
     */
    public static final int OUT_RIGHT = 4;

    /**
     * The bitmask that indicates that a point lies below
     * this <code>Rectangle2D</code>.
     * @since 1.2
     */
    public static final int OUT_BOTTOM = 8;

    /**
     * The <code>Float</code> class defines a rectangle specified in float
     * coordinates.
     * @since 1.2
     */
    public static class Float extends Rectangle2D implements Serializable {
	/**
	 * The X coordinate of this <code>Rectangle2D</code>.
	 * @since 1.2
         * @serial
	 */
	public float x;

	/**
	 * The Y coordinate of this <code>Rectangle2D</code>.
	 * @since 1.2
         * @serial
	 */
	public float y;

	/**
	 * The width of this <code>Rectangle2D</code>.
	 * @since 1.2
         * @serial
	 */
	public float width;

	/**
	 * The height of this <code>Rectangle2D</code>.
	 * @since 1.2
         * @serial
	 */
	public float height;

	/**
	 * Constructs a new <code>Rectangle2D</code>, initialized to
         * location (0.0,&nbsp;0.0) and size (0.0,&nbsp;0.0).
	 * @since 1.2
	 */
	public Float() {
	}

	/**
	 * Constructs and initializes a <code>Rectangle2D</code> 
         * from the specified <code>float</code> coordinates.
         *
	 * @param x the X coordinate of the upper-left corner
         *          of the newly constructed <code>Rectangle2D</code>
	 * @param y the Y coordinate of the upper-left corner
         *          of the newly constructed <code>Rectangle2D</code>
	 * @param w the width of the newly constructed
         *          <code>Rectangle2D</code>
	 * @param h the height of the newly constructed
         *          <code>Rectangle2D</code>
	 * @since 1.2
	*/
	public Float(float x, float y, float w, float h) {
	    setRect(x, y, w, h);
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public double getX() {
	    return (double) x;
	}

	/**
         * {@inheritDoc}
         * @since 1.2
         */
	public double getY() {
	    return (double) y;
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public double getWidth() {
	    return (double) width;
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public double getHeight() {
	    return (double) height;
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public boolean isEmpty() {
	    return (width <= 0.0f) || (height <= 0.0f);
	}

	/**
         * Sets the location and size of this <code>Rectangle2D</code>
         * to the specified <code>float</code> values.
         *
         * @param x the X coordinate of the upper-left corner
         *          of this <code>Rectangle2D</code>
         * @param y the Y coordinate of the upper-left corner
         *          of this <code>Rectangle2D</code>
         * @param w the width of this <code>Rectangle2D</code>
         * @param h the height of this <code>Rectangle2D</code>
	 * @since 1.2
	 */
	public void setRect(float x, float y, float w, float h) {
	    this.x = x;
	    this.y = y;
	    this.width = w;
	    this.height = h;
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public void setRect(double x, double y, double w, double h) {
	    this.x = (float) x;
	    this.y = (float) y;
	    this.width = (float) w;
	    this.height = (float) h;
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public void setRect(Rectangle2D r) {
	    this.x = (float) r.getX();
	    this.y = (float) r.getY();
	    this.width = (float) r.getWidth();
	    this.height = (float) r.getHeight();
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public int outcode(double x, double y) {
	    /*
	     * Note on casts to double below.  If the arithmetic of
	     * x+w or y+h is done in float, then some bits may be
	     * lost if the binary exponents of x/y and w/h are not
	     * similar.  By converting to double before the addition
	     * we force the addition to be carried out in double to
	     * avoid rounding error in the comparison.
	     *
	     * See bug 4320890 for problems that this inaccuracy causes.
	     */
	    int out = 0;
	    if (this.width <= 0) {
		out |= OUT_LEFT | OUT_RIGHT;
	    } else if (x < this.x) {
		out |= OUT_LEFT;
	    } else if (x > this.x + (double) this.width) {
		out |= OUT_RIGHT;
	    }
	    if (this.height <= 0) {
		out |= OUT_TOP | OUT_BOTTOM;
	    } else if (y < this.y) {
		out |= OUT_TOP;
	    } else if (y > this.y + (double) this.height) {
		out |= OUT_BOTTOM;
	    }
	    return out;
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public Rectangle2D getBounds2D() {
	    return new Float(x, y, width, height);
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public Rectangle2D createIntersection(Rectangle2D r) {
	    Rectangle2D dest;
	    if (r instanceof Float) {
		dest = new Rectangle2D.Float();
	    } else {
		dest = new Rectangle2D.Double();
	    }
	    Rectangle2D.intersect(this, r, dest);
	    return dest;
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public Rectangle2D createUnion(Rectangle2D r) {
	    Rectangle2D dest;
	    if (r instanceof Float) {
		dest = new Rectangle2D.Float();
	    } else {
		dest = new Rectangle2D.Double();
	    }
	    Rectangle2D.union(this, r, dest);
	    return dest;
	}

	/**
	 * Returns the <code>String</code> representation of this
         * <code>Rectangle2D</code>.
         * @return a <code>String</code> representing this
         * <code>Rectangle2D</code>. 
	 * @since 1.2
	 */
	public String toString() {
	    return getClass().getName()
		+ "[x=" + x +
		",y=" + y +
		",w=" + width +
		",h=" + height + "]";
	}

        /*
         * JDK 1.6 serialVersionUID
         */
        private static final long serialVersionUID = 3798716824173675777L;
    }

    /**
     * The <code>Double</code> class defines a rectangle specified in
     * double coordinates.
     * @since 1.2
     */
    public static class Double extends Rectangle2D implements Serializable {
	/**
	 * The X coordinate of this <code>Rectangle2D</code>.
	 * @since 1.2
         * @serial
	 */
	public double x;

	/**
	 * The Y coordinate of this <code>Rectangle2D</code>.
	 * @since 1.2
         * @serial
	 */
	public double y;

	/**
	 * The width of this <code>Rectangle2D</code>.
	 * @since 1.2
         * @serial
	 */
	public double width;

	/**
	 * The height of this <code>Rectangle2D</code>.
	 * @since 1.2
         * @serial
	 */
	public double height;

	/**
	 * Constructs a new <code>Rectangle2D</code>, initialized to
         * location (0,&nbsp;0) and size (0,&nbsp;0).
	 * @since 1.2
	 */
	public Double() {
	}

	/**
	 * Constructs and initializes a <code>Rectangle2D</code> 
         * from the specified <code>double</code> coordinates.
         *
	 * @param x the X coordinate of the upper-left corner
         *          of the newly constructed <code>Rectangle2D</code>
	 * @param y the Y coordinate of the upper-left corner
         *          of the newly constructed <code>Rectangle2D</code>
	 * @param w the width of the newly constructed
         *          <code>Rectangle2D</code>
	 * @param h the height of the newly constructed
         *          <code>Rectangle2D</code>
	 * @since 1.2
	 */
	public Double(double x, double y, double w, double h) {
	    setRect(x, y, w, h);
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public double getX() {
	    return x;
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public double getY() {
	    return y;
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public double getWidth() {
	    return width;
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public double getHeight() {
	    return height;
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public boolean isEmpty() {
	    return (width <= 0.0) || (height <= 0.0);
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public void setRect(double x, double y, double w, double h) {
	    this.x = x;
	    this.y = y;
	    this.width = w;
	    this.height = h;
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public void setRect(Rectangle2D r) {
	    this.x = r.getX();
	    this.y = r.getY();
	    this.width = r.getWidth();
	    this.height = r.getHeight();
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public int outcode(double x, double y) {
	    int out = 0;
	    if (this.width <= 0) {
		out |= OUT_LEFT | OUT_RIGHT;
	    } else if (x < this.x) {
		out |= OUT_LEFT;
	    } else if (x > this.x + this.width) {
		out |= OUT_RIGHT;
	    }
	    if (this.height <= 0) {
		out |= OUT_TOP | OUT_BOTTOM;
	    } else if (y < this.y) {
		out |= OUT_TOP;
	    } else if (y > this.y + this.height) {
		out |= OUT_BOTTOM;
	    }
	    return out;
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public Rectangle2D getBounds2D() {
	    return new Double(x, y, width, height);
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public Rectangle2D createIntersection(Rectangle2D r) {
	    Rectangle2D dest = new Rectangle2D.Double();
	    Rectangle2D.intersect(this, r, dest);
	    return dest;
	}

	/**
         * {@inheritDoc}
         * @since 1.2
	 */
	public Rectangle2D createUnion(Rectangle2D r) {
	    Rectangle2D dest = new Rectangle2D.Double();
	    Rectangle2D.union(this, r, dest);
	    return dest;
	}

	/**
	 * Returns the <code>String</code> representation of this
         * <code>Rectangle2D</code>.
         * @return a <code>String</code> representing this 
         * <code>Rectangle2D</code>.
	 * @since 1.2
	 */
	public String toString() {
	    return getClass().getName()
		+ "[x=" + x +
		",y=" + y +
		",w=" + width +
		",h=" + height + "]";
	}

        /*
         * JDK 1.6 serialVersionUID
         */
        private static final long serialVersionUID = 7771313791441850493L;
    }

    /**
     * This is an abstract class that cannot be instantiated directly.
     * Type-specific implementation subclasses are available for
     * instantiation and provide a number of formats for storing
     * the information necessary to satisfy the various accessor
     * methods below.
     *
     * @see java.awt.geom.Rectangle2D.Float
     * @see java.awt.geom.Rectangle2D.Double
     * @see java.awt.Rectangle
     * @since 1.2
     */
    protected Rectangle2D() {
    }

    /**
     * Sets the location and size of this <code>Rectangle2D</code>
     * to the specified <code>double</code> values.
     *
     * @param x the X coordinate of the upper-left corner
     *          of this <code>Rectangle2D</code>
     * @param y the Y coordinate of the upper-left corner
     *          of this <code>Rectangle2D</code>
     * @param w the width of this <code>Rectangle2D</code>
     * @param h the height of this <code>Rectangle2D</code>
     * @since 1.2
     */
    public abstract void setRect(double x, double y, double w, double h);

    /**
     * Sets this <code>Rectangle2D</code> to be the same as the specified
     * <code>Rectangle2D</code>.
     * @param r the specified <code>Rectangle2D</code>
     * @since 1.2
     */
    public void setRect(Rectangle2D r) {
	setRect(r.getX(), r.getY(), r.getWidth(), r.getHeight());
    }

    /**
     * Tests if the specified line segment intersects the interior of this
     * <code>Rectangle2D</code>.
     *
     * @param x1 the X coordinate of the start point of the specified
     *           line segment
     * @param y1 the Y coordinate of the start point of the specified
     *           line segment
     * @param x2 the X coordinate of the end point of the specified
     *           line segment
     * @param y2 the Y coordinate of the end point of the specified
     *           line segment
     * @return <code>true</code> if the specified line segment intersects
     * the interior of this <code>Rectangle2D</code>; <code>false</code>
     * otherwise.
     * @since 1.2
     */
    public boolean intersectsLine(double x1, double y1, double x2, double y2) {
	int out1, out2;
	if ((out2 = outcode(x2, y2)) == 0) {
	    return true;
	}
	while ((out1 = outcode(x1, y1)) != 0) {
	    if ((out1 & out2) != 0) {
		return false;
	    }
	    if ((out1 & (OUT_LEFT | OUT_RIGHT)) != 0) {
		double x = getX();
		if ((out1 & OUT_RIGHT) != 0) {
		    x += getWidth();
		}
		y1 = y1 + (x - x1) * (y2 - y1) / (x2 - x1);
		x1 = x;
	    } else {
		double y = getY();
		if ((out1 & OUT_BOTTOM) != 0) {
		    y += getHeight();
		}
		x1 = x1 + (y - y1) * (x2 - x1) / (y2 - y1);
		y1 = y;
	    }
	}
	return true;
    }

    /**
     * Tests if the specified line segment intersects the interior of this
     * <code>Rectangle2D</code>.
     * @param l the specified {@link Line2D} to test for intersection
     * with the interior of this <code>Rectangle2D</code>
     * @return <code>true</code> if the specified <code>Line2D</code>
     * intersects the interior of this <code>Rectangle2D</code>;
     * <code>false</code> otherwise.
     * @since 1.2
     */
    public boolean intersectsLine(Line2D l) {
	return intersectsLine(l.getX1(), l.getY1(), l.getX2(), l.getY2());
    }

    /**
     * Determines where the specified coordinates lie with respect
     * to this <code>Rectangle2D</code>.
     * This method computes a binary OR of the appropriate mask values
     * indicating, for each side of this <code>Rectangle2D</code>,
     * whether or not the specified coordinates are on the same side
     * of the edge as the rest of this <code>Rectangle2D</code>.
     * @param x the specified X coordinate
     * @param y the specified Y coordinate
     * @return the logical OR of all appropriate out codes.
     * @see #OUT_LEFT
     * @see #OUT_TOP
     * @see #OUT_RIGHT
     * @see #OUT_BOTTOM
     * @since 1.2
     */
    public abstract int outcode(double x, double y);

    /**
     * Determines where the specified {@link Point2D} lies with 
     * respect to this <code>Rectangle2D</code>.
     * This method computes a binary OR of the appropriate mask values
     * indicating, for each side of this <code>Rectangle2D</code>,
     * whether or not the specified <code>Point2D</code> is on the same
     * side of the edge as the rest of this <code>Rectangle2D</code>.
     * @param p the specified <code>Point2D</code>  
     * @return the logical OR of all appropriate out codes.
     * @see #OUT_LEFT
     * @see #OUT_TOP
     * @see #OUT_RIGHT
     * @see #OUT_BOTTOM
     * @since 1.2
     */
    public int outcode(Point2D p) {
	return outcode(p.getX(), p.getY());
    }

    /**
     * Sets the location and size of the outer bounds of this 
     * <code>Rectangle2D</code> to the specified rectangular values.
     *
     * @param x the X coordinate of the upper-left corner
     *          of this <code>Rectangle2D</code>
     * @param y the Y coordinate of the upper-left corner
     *          of this <code>Rectangle2D</code>
     * @param w the width of this <code>Rectangle2D</code>
     * @param h the height of this <code>Rectangle2D</code>
     * @since 1.2
     */
    public void setFrame(double x, double y, double w, double h) {
	setRect(x, y, w, h);
    }

    /**
     * {@inheritDoc}
     * @since 1.2
     */
    public Rectangle2D getBounds2D() {
	return (Rectangle2D) clone();
    }

    /**
     * {@inheritDoc}
     * @since 1.2
     */
    public boolean contains(double x, double y) {
	double x0 = getX();
	double y0 = getY();
	return (x >= x0 &&
		y >= y0 &&
		x < x0 + getWidth() &&
		y < y0 + getHeight());
    }

    /**
     * {@inheritDoc}
     * @since 1.2
     */
    public boolean intersects(double x, double y, double w, double h) {
	if (isEmpty() || w <= 0 || h <= 0) {
	    return false;
	}
	double x0 = getX();
	double y0 = getY();
	return (x + w > x0 &&
		y + h > y0 &&
		x < x0 + getWidth() &&
		y < y0 + getHeight());
    }

    /**
     * {@inheritDoc}
     * @since 1.2
     */
    public boolean contains(double x, double y, double w, double h) {
	if (isEmpty() || w <= 0 || h <= 0) {
	    return false;
	}
	double x0 = getX();
	double y0 = getY();
	return (x >= x0 &&
		y >= y0 &&
		(x + w) <= x0 + getWidth() &&
		(y + h) <= y0 + getHeight());
    }

    /**
     * Returns a new <code>Rectangle2D</code> object representing the
     * intersection of this <code>Rectangle2D</code> with the specified
     * <code>Rectangle2D</code>.
     * @param r the <code>Rectangle2D</code> to be intersected with
     * this <code>Rectangle2D</code>
     * @return the largest <code>Rectangle2D</code> contained in both 
     * 		the specified <code>Rectangle2D</code> and in this
     *		<code>Rectangle2D</code>.
     * @since 1.2
     */
    public abstract Rectangle2D createIntersection(Rectangle2D r);

    /**
     * Intersects the pair of specified source <code>Rectangle2D</code>
     * objects and puts the result into the specified destination
     * <code>Rectangle2D</code> object.  One of the source rectangles
     * can also be the destination to avoid creating a third Rectangle2D
     * object, but in this case the original points of this source
     * rectangle will be overwritten by this method. 
     * @param src1 the first of a pair of <code>Rectangle2D</code> 
     * objects to be intersected with each other
     * @param src2 the second of a pair of <code>Rectangle2D</code>
     * objects to be intersected with each other
     * @param dest the <code>Rectangle2D</code> that holds the
     * results of the intersection of <code>src1</code> and
     * <code>src2</code>
     * @since 1.2
     */
    public static void intersect(Rectangle2D src1,
				 Rectangle2D src2,
				 Rectangle2D dest) {
	double x1 = Math.max(src1.getMinX(), src2.getMinX());
	double y1 = Math.max(src1.getMinY(), src2.getMinY());
	double x2 = Math.min(src1.getMaxX(), src2.getMaxX());
	double y2 = Math.min(src1.getMaxY(), src2.getMaxY());
	dest.setFrame(x1, y1, x2-x1, y2-y1);
    }
      
    /**
     * Returns a new <code>Rectangle2D</code> object representing the
     * union of this <code>Rectangle2D</code> with the specified
     * <code>Rectangle2D</code>.
     * @param r the <code>Rectangle2D</code> to be combined with
     * this <code>Rectangle2D</code>
     * @return the smallest <code>Rectangle2D</code> containing both 
     * the specified <code>Rectangle2D</code> and this 
     * <code>Rectangle2D</code>.
     * @since 1.2
     */
    public abstract Rectangle2D createUnion(Rectangle2D r);

    /**
     * Unions the pair of source <code>Rectangle2D</code> objects 
     * and puts the result into the specified destination 
     * <code>Rectangle2D</code> object.  One of the source rectangles
     * can also be the destination to avoid creating a third Rectangle2D
     * object, but in this case the original points of this source
     * rectangle will be overwritten by this method.
     * @param src1 the first of a pair of <code>Rectangle2D</code>
     * objects to be combined with each other
     * @param src2 the second of a pair of <code>Rectangle2D</code>
     * objects to be combined with each other
     * @param dest the <code>Rectangle2D</code> that holds the
     * results of the union of <code>src1</code> and  
     * <code>src2</code>
     * @since 1.2
     */
    public static void union(Rectangle2D src1,
			     Rectangle2D src2,
			     Rectangle2D dest) {
	double x1 = Math.min(src1.getMinX(), src2.getMinX());
	double y1 = Math.min(src1.getMinY(), src2.getMinY());
	double x2 = Math.max(src1.getMaxX(), src2.getMaxX());
	double y2 = Math.max(src1.getMaxY(), src2.getMaxY());
	dest.setFrameFromDiagonal(x1, y1, x2, y2);
    }
      
    /**
     * Adds a point, specified by the double precision arguments
     * <code>newx</code> and <code>newy</code>, to this 
     * <code>Rectangle2D</code>.  The resulting <code>Rectangle2D</code> 
     * is the smallest <code>Rectangle2D</code> that
     * contains both the original <code>Rectangle2D</code> and the
     * specified point.
     * <p>
     * After adding a point, a call to <code>contains</code> with the 
     * added point as an argument does not necessarily return 
     * <code>true</code>. The <code>contains</code> method does not 
     * return <code>true</code> for points on the right or bottom 
     * edges of a rectangle. Therefore, if the added point falls on 
     * the left or bottom edge of the enlarged rectangle, 
     * <code>contains</code> returns <code>false</code> for that point.
     * @param newx the X coordinate of the new point
     * @param newy the Y coordinate of the new point
     * @since 1.2
     */
    public void add(double newx, double newy) {
	double x1 = Math.min(getMinX(), newx);
	double x2 = Math.max(getMaxX(), newx);
	double y1 = Math.min(getMinY(), newy);
	double y2 = Math.max(getMaxY(), newy);
	setRect(x1, y1, x2 - x1, y2 - y1);
    }

    /**
     * Adds the <code>Point2D</code> object <code>pt</code> to this
     * <code>Rectangle2D</code>.
     * The resulting <code>Rectangle2D</code> is the smallest 
     * <code>Rectangle2D</code> that contains both the original
     * <code>Rectangle2D</code> and the specified <code>Point2D</code>.
     * <p>
     * After adding a point, a call to <code>contains</code> with the 
     * added point as an argument does not necessarily return
     * <code>true</code>. The <code>contains</code> 
     * method does not return <code>true</code> for points on the right 
     * or bottom edges of a rectangle. Therefore, if the added point falls
     * on the left or bottom edge of the enlarged rectangle, 
     * <code>contains</code> returns <code>false</code> for that point.
     * @param     pt the new <code>Point2D</code> to add to this
     * <code>Rectangle2D</code>.
     * @since 1.2
     */
    public void add(Point2D pt) {
	add(pt.getX(), pt.getY());
    }

    /**
     * Adds a <code>Rectangle2D</code> object to this 
     * <code>Rectangle2D</code>.  The resulting <code>Rectangle2D</code>
     * is the union of the two <code>Rectangle2D</code> objects. 
     * @param r the <code>Rectangle2D</code> to add to this
     * <code>Rectangle2D</code>.
     * @since 1.2
     */
    public void add(Rectangle2D r) {
	double x1 = Math.min(getMinX(), r.getMinX());
	double x2 = Math.max(getMaxX(), r.getMaxX());
	double y1 = Math.min(getMinY(), r.getMinY());
	double y2 = Math.max(getMaxY(), r.getMaxY());
	setRect(x1, y1, x2 - x1, y2 - y1);
    }

    /**
     * Returns an iteration object that defines the boundary of this
     * <code>Rectangle2D</code>.
     * The iterator for this class is multi-threaded safe, which means
     * that this <code>Rectangle2D</code> class guarantees that
     * modifications to the geometry of this <code>Rectangle2D</code>
     * object do not affect any iterations of that geometry that
     * are already in process.
     * @param at an optional <code>AffineTransform</code> to be applied to
     * the coordinates as they are returned in the iteration, or
     * <code>null</code> if untransformed coordinates are desired
     * @return    the <code>PathIterator</code> object that returns the
     *          geometry of the outline of this
     *          <code>Rectangle2D</code>, one segment at a time.
     * @since 1.2
     */
    public PathIterator getPathIterator(AffineTransform at) {
	return new RectIterator(this, at);
    }

    /**
     * Returns an iteration object that defines the boundary of the
     * flattened <code>Rectangle2D</code>.  Since rectangles are already
     * flat, the <code>flatness</code> parameter is ignored.
     * The iterator for this class is multi-threaded safe, which means
     * that this <code>Rectangle2D</code> class guarantees that
     * modifications to the geometry of this <code>Rectangle2D</code>
     * object do not affect any iterations of that geometry that
     * are already in process.
     * @param at an optional <code>AffineTransform</code> to be applied to
     * the coordinates as they are returned in the iteration, or
     * <code>null</code> if untransformed coordinates are desired
     * @param flatness the maximum distance that the line segments used to
     * approximate the curved segments are allowed to deviate from any
     * point on the original curve.  Since rectangles are already flat,
     * the <code>flatness</code> parameter is ignored.
     * @return    the <code>PathIterator</code> object that returns the
     *          geometry of the outline of this
     *          <code>Rectangle2D</code>, one segment at a time.
     * @since 1.2
     */
    public PathIterator getPathIterator(AffineTransform at, double flatness) {
	return new RectIterator(this, at);
    }

    /**
     * Returns the hashcode for this <code>Rectangle2D</code>.
     * @return the hashcode for this <code>Rectangle2D</code>.
     * @since 1.2
     */
    public int hashCode() {
	long bits = java.lang.Double.doubleToLongBits(getX());
	bits += java.lang.Double.doubleToLongBits(getY()) * 37;
	bits += java.lang.Double.doubleToLongBits(getWidth()) * 43;
	bits += java.lang.Double.doubleToLongBits(getHeight()) * 47;
	return (((int) bits) ^ ((int) (bits >> 32)));
    }

    /**
     * Determines whether or not the specified <code>Object</code> is
     * equal to this <code>Rectangle2D</code>.  The specified 
     * <code>Object</code> is equal to this <code>Rectangle2D</code>
     * if it is an instance of <code>Rectangle2D</code> and if its
     * location and size are the same as this <code>Rectangle2D</code>.
     * @param obj an <code>Object</code> to be compared with this
     * <code>Rectangle2D</code>.
     * @return     <code>true</code> if <code>obj</code> is an instance
     *                     of <code>Rectangle2D</code> and has
     *                     the same values; <code>false</code> otherwise.
     * @since 1.2
     */
    public boolean equals(Object obj) {
	if (obj == this) {
	    return true;
	}
	if (obj instanceof Rectangle2D) {
	    Rectangle2D r2d = (Rectangle2D) obj;
	    return ((getX() == r2d.getX()) &&
		    (getY() == r2d.getY()) &&
		    (getWidth() == r2d.getWidth()) &&
		    (getHeight() == r2d.getHeight()));
	}
	return false;
    }
}