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#
Authors:
Stuart Reges, Marty Stepp
Chapter:
Classes
Exercise:
Exercises
Question:16 | ISBN:9780136091813 | Edition: 2

Question

Add the following method to your Rectangle class:
public Rectangle union(Rectangle rect)
Returns a new Rectangle that represents the area occupied by the tightest bounding box that contains both this Rectangle and the given other Rectangle.

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Answer

package classes;

public class Rectangle {

	int x;
	int y;
	int width;
	int height;
	Point point;

 // initialize the constructor with point, width and height
	public Rectangle(Point p, int width, int height) {

		this.point = p;
		this.width = width;
		this.height = height;
	}

 // one more constructor with x and y values and height and width
	public Rectangle(int x, int y, int width, int height) {
		this.x = x;
		this.y = y;
		this.width = width;
		this.height = height;

	}

// newly added union method wich takes rectanle class as parameter
public Rectangle union(Rectangle rec) {

		int x1 = Math.min(x, rec.x);
		int y1 = Math.min(y, rec.y);
		int y2 = Math.max(y + height, rec.y + rec.height);
		int x2 = Math.max(x + width, rec.x + rec.width);
		return new Rectangle(x1, y1, x2 - x1, y2 - y1);
	}

	public boolean contains(int x, int y) {
		return this.x <= x && x <= this.x + width && this.y <= y && y <= this.y + height;
	}

	public boolean contains(Point p) {
		return contains(p.getX(), p.getY());
	}


 // getter and setters
	public int getX() {
		return x;
	}

	public void setX(int x) {
		this.x = x;
	}

	public int getY() {
		return y;
	}

	public void setY(int y) {
		this.y = y;
	}

	public int getWidth() {
		return width;
	}

	public void setWidth(int width) {
		this.width = width;
	}

	public int getHeight() {
		return height;
	}

	public void setHeight(int height) {
		this.height = height;
	}

	@Override
	public String toString() {

		return "[Rectangle x = " + this.x + ", y = " + this.y + ", width = " + width + ", height =  " + height + "]";

	}

	public static void main(String[] args) {

		Rectangle rec = new Rectangle(4, 6, 8, 5);
		Rectangle rec1 = new Rectangle(8, 5, 7, 5);

		System.out.println("New Rectangle formed: " + rec.union(rec1));

	}

}
Output:

New Rectangle formed: [Rectangle x = 4, y = 5, width = 11, height =  6]
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