cubiccurve2d.java

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/*
 * @(#)CubicCurve2D.java	1.28 03/01/23
 *
 * Copyright 2003 Sun Microsystems, Inc. All rights reserved.
 * SUN PROPRIETARY/CONFIDENTIAL. Use is subject to license terms.
 */

package java.awt.geom;

import java.awt.Shape;
import java.awt.Rectangle;
import java.util.Arrays;

/**
 * The <code>CubicCurve2D</code> class defines a cubic parametric curve 
 * segment in (x,&nbsp; y) coordinate space.
 * <p>
 * This class is only the abstract superclass for all objects which
 * store a 2D cubic curve segment.
 * The actual storage representation of the coordinates is left to
 * the subclass.
 *
 * @version 	1.28, 01/23/03
 * @author	Jim Graham
 */
public abstract class CubicCurve2D implements Shape, Cloneable {
    /**
     * A cubic parametric curve segment specified with float coordinates.
     */
    public static class Float extends CubicCurve2D {
	/**
	 * The X coordinate of the start point
	 * of the cubic curve segment.
	 */
	public float x1;

	/**
	 * The Y coordinate of the start point
	 * of the cubic curve segment.
	 */
	public float y1;

	/**
	 * The X coordinate of the first control point
	 * of the cubic curve segment.
	 */
	public float ctrlx1;

	/**
	 * The Y coordinate of the first control point
	 * of the cubic curve segment.
	 */
	public float ctrly1;

	/**
	 * The X coordinate of the second control point
	 * of the cubic curve segment.
	 */
	public float ctrlx2;

	/**
	 * The Y coordinate of the second control point
	 * of the cubic curve segment.
	 */
	public float ctrly2;

	/**
	 * The X coordinate of the end point
	 * of the cubic curve segment.
	 */
	public float x2;

	/**
	 * The Y coordinate of the end point
	 * of the cubic curve segment.
	 */
	public float y2;

	/**
	 * Constructs and initializes a CubicCurve with coordinates
	 * (0, 0, 0, 0, 0, 0).
	 */
	public Float() {
	}

	/**
	 * Constructs and initializes a <code>CubicCurve2D</code> from
	 * the specified coordinates.
	 * @param x1,&nbsp;y1 the first specified coordinates for the start
	 *		point of the resulting <code>CubicCurve2D</code>
	 * @param ctrlx1,&nbsp;ctrly1 the second specified coordinates for the
	 *		first control point of the resulting 
	 *		<code>CubicCurve2D</code>
	 * @param ctrlx2,&nbsp;ctrly2 the third specified coordinates for the 
	 *		second control point of the resulting
	 *		<code>CubicCurve2D</code>
	 * @param x2,&nbsp;y2 the fourth specified coordinates for the end
	 *		point of the resulting <code>CubicCurve2D</code>
	 */
	public Float(float x1, float y1,
			       float ctrlx1, float ctrly1,
			       float ctrlx2, float ctrly2,
			       float x2, float y2) {
	    setCurve(x1, y1, ctrlx1, ctrly1, ctrlx2, ctrly2, x2, y2);
	}

	/**
	 * Returns the X coordinate of the start point
	 * in double precision.
	 * @return the X coordinate of the start point of the 
	 * 		<code>CubicCurve2D</code>.
	 */
	public double getX1() {
	    return (double) x1;
	}

	/**
	 * Returns the Y coordinate of the start point 
	 * in double precision.
	 * @return the Y coordinate of the start point of the 
	 * 		<code>CubicCurve2D</code>.
	 */
	public double getY1() {
	    return (double) y1;
	}

	/**
	 * Returns the start point.
	 * @return a {@link Point2D} that is the start point of the
	 *		<code>CubicCurve2D</code>.
	 */
	public Point2D getP1() {
	    return new Point2D.Float(x1, y1);
	}

	/**
	 * Returns the X coordinate of the first control point 
	 * in double precision.
	 * @return the X coordinate of the first control point of the
	 *		<code>CubicCurve2D</code>.
	 */
	public double getCtrlX1() {
	    return (double) ctrlx1;
	}

	/**
	 * Returns the Y coordinate of the first control point 
	 * in double precision.
	 * @return the Y coordinate of the first control point of the
	 *		<code>CubicCurve2D</code>.
	 */
	public double getCtrlY1() {
	    return (double) ctrly1;
	}

	/**
	 * Returns the first control point.
	 * @return a <code>Point2D</code> that is the first control point
	 *		of the <code>CubicCurve2D</code>.
	 */
	public Point2D getCtrlP1() {
	    return new Point2D.Float(ctrlx1, ctrly1);
	}

	/**
	 * Returns the X coordinate of the second control point
	 * in double precision.
	 * @return the X coordinate of the second control point of the
	 *		<code>CubicCurve2D</code>.
	 */
	public double getCtrlX2() {
	    return (double) ctrlx2;
	}

	/**
	 * Returns the Y coordinate of the second control point
	 * in double precision.
	 * @return the Y coordinate of the second control point of the
	 *		<code>CubicCurve2D</code>.
	 */
	public double getCtrlY2() {
	    return (double) ctrly2;
	}

	/**
	 * Returns the second control point.
	 * @return a <code>Point2D</code> that is the second control point
	 *		of the <code>CubicCurve2D</code>.
	 */
	public Point2D getCtrlP2() {
	    return new Point2D.Float(ctrlx2, ctrly2);
	}

	/**
	 * Returns the X coordinate of the end point
	 * in double precision.
	 * @return the X coordinate of the end point of the
	 *		<code>CubicCurve2D</code>.
	 */
	public double getX2() {
	    return (double) x2;
	}

	/**
	 * Returns the Y coordinate of the end point 
	 * in double precision.
	 * @return the Y coordinate of the end point of the
	 *		<code>CubicCurve2D</code>.
	 */
	public double getY2() {
	    return (double) y2;
	}

	/**
	 * Returns the end point.
	 * @return a <code>Point2D</code> that is the end point
	 *		of the <code>CubicCurve2D</code>.
	 */
	public Point2D getP2() {
	    return new Point2D.Float(x2, y2);
	}

	/**
	 * Sets the location of the endpoints and controlpoints
	 * of this <code>CubicCurve2D</code> to the specified double 
	 * coordinates.
	 * @param x1,&nbsp;y1 the first specified coordinates used to set the start
	 *		point of this <code>CubicCurve2D</code>
	 * @param ctrlx1,&nbsp;ctrly1 the second specified coordinates used to set the
	 *		first control point of this <code>CubicCurve2D</code>
	 * @param ctrlx2,&nbsp;ctrly2 the third specified coordinates used to set the 
	 *		second control point of this <code>CubicCurve2D</code>		
	 * @param x2,&nbsp;y2 the fourth specified coordinates used to set the end
	 *		point of this <code>CubicCurve2D</code>
	 */
	public void setCurve(double x1, double y1,
			     double ctrlx1, double ctrly1,
			     double ctrlx2, double ctrly2,
			     double x2, double y2) {
	    this.x1     = (float) x1;
	    this.y1     = (float) y1;
	    this.ctrlx1 = (float) ctrlx1;
	    this.ctrly1 = (float) ctrly1;
	    this.ctrlx2 = (float) ctrlx2;
	    this.ctrly2 = (float) ctrly2;
	    this.x2     = (float) x2;
	    this.y2     = (float) y2;
	}

	/**
	 * Sets the location of the endpoints and controlpoints
	 * of this curve to the specified float coordinates.
	 * @param x1,&nbsp;y1 the first specified coordinates used to set the start
	 *		point of this <code>CubicCurve2D</code>
	 * @param ctrlx1,&nbsp;ctrly1 the second specified coordinates used to set the
	 *		first control point of this <code>CubicCurve2D</code>
	 * @param ctrlx2,&nbsp;ctrly2 the third specified coordinates used to set the 
	 *		second control point of this <code>CubicCurve2D</code>		
	 * @param x2,&nbsp;y2 the fourth specified coordinates used to set the end
	 *		point of this <code>CubicCurve2D</code>
	 */
	public void setCurve(float x1, float y1,
			     float ctrlx1, float ctrly1,
			     float ctrlx2, float ctrly2,
			     float x2, float y2) {
	    this.x1     = x1;
	    this.y1     = y1;
	    this.ctrlx1 = ctrlx1;
	    this.ctrly1 = ctrly1;
	    this.ctrlx2 = ctrlx2;
	    this.ctrly2 = ctrly2;
	    this.x2     = x2;
	    this.y2     = y2;
	}

	/**
	 * Returns the bounding box of the shape.
	 * @return a {@link Rectangle2D} that is the bounding box of the
	 * 		shape.
	 */
	public Rectangle2D getBounds2D() {
	    float left   = Math.min(Math.min(x1, x2),
				    Math.min(ctrlx1, ctrlx2));
	    float top    = Math.min(Math.min(y1, y2),
				    Math.min(ctrly1, ctrly2));
	    float right  = Math.max(Math.max(x1, x2),
				    Math.max(ctrlx1, ctrlx2));
	    float bottom = Math.max(Math.max(y1, y2),
				    Math.max(ctrly1, ctrly2));
	    return new Rectangle2D.Float(left, top,
					 right - left, bottom - top);
	}
    }

    /**
     * A cubic parametric curve segment specified with double coordinates.
     */
    public static class Double extends CubicCurve2D {
	/**
	 * The X coordinate of the start point
	 * of the cubic curve segment.
	 */
	public double x1;

	/**
	 * The Y coordinate of the start point
	 * of the cubic curve segment.
	 */
	public double y1;

	/**
	 * The X coordinate of the first control point
	 * of the cubic curve segment.
	 */
	public double ctrlx1;

	/**
	 * The Y coordinate of the first control point
	 * of the cubic curve segment.
	 */
	public double ctrly1;

	/**
	 * The X coordinate of the second control point
	 * of the cubic curve segment.
	 */
	public double ctrlx2;

	/**
	 * The Y coordinate of the second control point
	 * of the cubic curve segment.
	 */
	public double ctrly2;

	/**
	 * The X coordinate of the end point
	 * of the cubic curve segment.
	 */
	public double x2;

	/**
	 * The Y coordinate of the end point
	 * of the cubic curve segment.
	 */
	public double y2;

	/**
	 * Constructs and initializes a CubicCurve with coordinates
	 * (0, 0, 0, 0, 0, 0).
	 */
	public Double() {
	}

	/**
	 * Constructs and initializes a <code>CubicCurve2D</code> from
	 * the specified coordinates.
	 * @param x1,&nbsp;y1 the first specified coordinates for the start
	 *		point of the resulting <code>CubicCurve2D</code>
	 * @param ctrlx1,&nbsp;ctrly1 the second specified coordinates for the
	 *		first control point of the resulting 
	 *		<code>CubicCurve2D</code>
	 * @param ctrlx2,&nbsp;ctrly2 the third specified coordinates for the 
	 *		second control point of the resulting
	 *		<code>CubicCurve2D</code>
	 * @param x2,&nbsp;y2 the fourth specified coordinates for the end
	 *		point of the resulting <code>CubicCurve2D</code>
	 */
	public Double(double x1, double y1,
		      double ctrlx1, double ctrly1,
		      double ctrlx2, double ctrly2,
		      double x2, double y2) {
	    setCurve(x1, y1, ctrlx1, ctrly1, ctrlx2, ctrly2, x2, y2);
	}

	/**
	 * Returns the X coordinate of the start point
	 * in double precision.
	 * @return the X coordinate of the first control point of the
	 *		<code>CubicCurve2D</code>.
	 */
	public double getX1() {
	    return x1;
	}

	/**
	 * Returns the Y coordinate of the start point 
	 * in double precision.
	 * @return the Y coordinate of the start point of the
	 *		<code>CubicCurve2D</code>.
	 */
	public double getY1() {
	    return y1;
	}

	/**
	 * Returns the start point.
	 * @return a <code>Point2D</code> that is the start point of the
	 *		<code>CubicCurve2D</code>.
	 */
	public Point2D getP1() {
	    return new Point2D.Double(x1, y1);
	}

	/**
	 * Returns the X coordinate of the first control point 
	 * in double precision.
	 * @return the X coordinate of the first control point of the
	 *		<code>CubicCurve2D</code>.
	 */
	public double getCtrlX1() {
	    return ctrlx1;