package algs12;
import  stdlib.*;

/* ***********************************************************************
 *  Compilation:  javac Interval2D.java
 *  Execution:    java Interval2D
 *
 *  2-dimensional interval data type.
 *
 *************************************************************************/

public class Interval2D {
	private final Interval1D x;
	private final Interval1D y;

	public Interval2D(Interval1D x, Interval1D y) {
		this.x = x;
		this.y = y;
	}

	// does this interval intersect that one?
	public boolean intersects(Interval2D that) {
		if (!this.x.intersects(that.x)) return false;
		if (!this.y.intersects(that.y)) return false;
		return true;
	}

	// does this interval contain x?
	public boolean contains(Point2D p) {
		return x.contains(p.x())  && y.contains(p.y());
	}

	// area of this interval
	public double area() {
		return x.length() * y.length();
	}

	public String toString() {
		return x + " x " + y;
	}

	public void draw() {
		double xc = (x.left() + x.right()) / 2.0;
		double yc = (y.left() + y.right()) / 2.0;
		StdDraw.rectangle(xc, yc, x.length() / 2.0, y.length() / 2.0);
	}

	// test client
	public static void main(String[] args) {
		args = new String[] { ".3", ".4", ".5", ".6", "1000" };

		double xlo = Double.parseDouble(args[0]);
		double xhi = Double.parseDouble(args[1]);
		double ylo = Double.parseDouble(args[2]);
		double yhi = Double.parseDouble(args[3]);
		int T = Integer.parseInt(args[4]);

		Interval1D xinterval = new Interval1D(xlo, xhi);
		Interval1D yinterval = new Interval1D(ylo, yhi);
		Interval2D box = new Interval2D(xinterval, yinterval);
		box.draw();

		Counter counter = new Counter("hits");
		for (int t = 0; t < T; t++) {
			double x = StdRandom.random();
			double y = StdRandom.random();
			Point2D p = new Point2D(x, y);

			if (box.contains(p)) counter.increment();
			else                 p.draw();
		}

		StdOut.println(counter);
		StdOut.format("box area = %.2f\n", box.area());
	}
}