Tuesday 28 November 2017

Java Program to Use Above Below Primitive to Test Whether Two Lines Intersect


Code:

import java.util.Random;

public class Line_Intersection
{
    public static void main(String args[])
    {
        Random random = new Random();

        int x1, x2, y1, y2;
        x1 = random.nextInt(10);
        x2 = random.nextInt(10);
        y1 = random.nextInt(10);
        y2 = random.nextInt(10);

        System.out.println("The Equation of the 1st line is : (" + (y2 - y1)
                + ")x+(" + (x1 - x2) + ")y+(" + (x2 * y1 - x1 * y2) + ") = 0");

        int p1, p2, q1, q2;
        p1 = random.nextInt(10);
        p2 = random.nextInt(10);
        q1 = random.nextInt(10);
        q2 = random.nextInt(10);

        System.out.println("The Equation of the 2nd line is : (" + (q2 - q1)
                + ")x+(" + (p1 - p2) + ")y+(" + (p2 * q1 - p1 * q2) + ") = 0");

        int s1 = (y2 - y1) * p1 + (x1 - x2) * q1 + (x2 * y1 - x1 * y2);
        if (s1 < 0)
        {
            int s2 = (y2 - y1) * p2 + (x1 - x2) * q2 + (x2 * y1 - x1 * y2);
            if (s2 >= 0)
                System.out.println("The lines intersect");
            else if (s2 < 0)
                System.out.println("The lines doesn't intersect");

        }
        else if (s1 > 0)
        {
            int s2 = (y2 - y1) * p2 + (x1 - x2) * q2 + (x2 * y1 - x1 * y2);
            if (s2 <= 0)
                System.out.println("The lines intersect");
            else if (s2 > 0)
                System.out.println("The lines doesn't intersect");
        }
        else
            System.out.println("The point lies on the line");
    }
}


Output:

The Equation of the line is : (2)x+(9)y+(-63) = 0
The Equation of the line is : (-4)x+(2)y+(-4) = 0
The lines doesn't intersect

The Equation of the line is : (-4)x+(-3)y+(43) = 0
The Equation of the line is : (-1)x+(-8)y+(73) = 0
The lines intersect



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