import java.awt.Color;

import uwcse.graphics.*;

/**
 * Exercise 7.8 p 250 (a,b,c,d and g). Skip e and f.
 */
public class Exercise78 {
	/**
	 * What is p implies q?
	 * 
	 * @return p implies q
	 */
	public boolean implies(boolean p, boolean q) {
		// p=>q has the following truth table (see p 244)
		// p:true q:true p=>q:true
		// p:false q:true p=>q:true
		// p:true q:false p=>q:false
		// p:false q:false p=>q:true
		return !p || q;
	}

	/**
	 * Are the three integers a, b and c in order (i.e. a<b<c)?
	 * 
	 * @return a<b AND b<c
	 */
	public boolean inOrder(int a, int b, int c) {
		return (a < b && b < c);
	}

	/**
	 * Does Rectangle r1 have a greater width than Rectangle r2?
	 * 
	 * @return r1 has a greater width than r2
	 */
	public boolean isWider(Rectangle r1, Rectangle r2) {
		return r1.getWidth() > r2.getWidth();
	}

	/**
	 * Is point (x1,y1) farther from the origin than point (x2,y2)?
	 * 
	 * @return point 1 is farther from the origin than point 2
	 */
	public boolean fartherFromOrigin(int x1, int y1, int x2, int y2) {
		return (x1 * x1 + y1 * y1 > x2 * x2 + y2 * y2);
	}

	/**
	 * Are the three integers s1, s2 and s3 the lengths of the sides of a right
	 * triangle?
	 * 
	 * @return s1,s2 and s3 are the lengths of the sides of a right triangle
	 */
	public boolean areSidesOfRightTriangle(int s1, int s2, int s3) {
		// If any is negative, they can't be the lengths of a triangle
		if (s1 < 0 || s2 < 0 || s3 < 0)
			return false;

		// Hypotenuse and sides of the supposedly right triangle
		int side1 = s1;
		int side2 = s2;
		int h = s3;
		// The hypotenuse is the largest of the 3 integers
		if (h < side1) {
			// swap h and side1
			int temp = h;
			h = side1;
			side1 = temp;
		}
		if (h < side2) {
			// swap h and side2
			int temp = h;
			h = side2;
			side2 = temp;
		}
		// Is it a right triangle?
		return h * h == side1 * side1 + side2 * side2;
	}

	/**
	 * Starts the application
	 */
	public static void main(String[] args) {
		Exercise78 e = new Exercise78();
		System.out
				.println("e.implies(true, false) = " + e.implies(true, false));
		System.out.println("e.inOrder(-5, 7, 9) = " + e.inOrder(-5, 7, 9));
		Rectangle r1 = new Rectangle(0, 0, 10, 10, Color.GREEN, true);
		Rectangle r2 = new Rectangle(100, 50, 50, 5, Color.BLUE, false);
		System.out.println("e.isWider(r1, r2) = " + e.isWider(r1, r2));
		System.out.println("e.fartherFromOrigin(10, 20, 1, 2) = "
				+ e.fartherFromOrigin(10, 20, 1, 2));
		System.out.println("e.areSidesOfRightTriangle(5, 3, 4) = "
				+ e.areSidesOfRightTriangle(5, 3, 4));
	}
}