Friday 24 November 2017

C++ Program to Use Above Below Primitive to Test Whether Two Lines Intersect


Code:

#include     time.h
#include     stdlib.h
#include     iostream
#include     math.h

using namespace std;
const int LOW = 0;
const int HIGH = 10;
int main(int argc, char **argv)
{
    time_t seconds;
    time(&seconds);
    srand((unsigned int) seconds);

    int x1, x2, y1, y2;
    x1 = rand() % (HIGH - LOW + 1) + LOW;
    x2 = rand() % (HIGH - LOW + 1) + LOW;
    y1 = rand() % (HIGH - LOW + 1) + LOW;
    y2 = rand() % (HIGH - LOW + 1) + LOW;

    cout << "The Equation of the 1st line is : (" << (y2 - y1) << ")x+(" << (x1
            - x2) << ")y+(" << (x2 * y1 - x1 * y2) << ") = 0\n";

    int p1, p2, q1, q2;
    p1 = rand() % (HIGH - LOW + 1) + LOW;
    p2 = rand() % (HIGH - LOW + 1) + LOW;
    q1 = rand() % (HIGH - LOW + 1) + LOW;
    q2 = rand() % (HIGH - LOW + 1) + LOW;

    cout << "The Equation of the 2nd line is : (" << (q2 - q1) << ")x+(" << (p1
            - p2) << ")y+(" << (p2 * q1 - p1 * q2) << ") = 0\n";

    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)
            cout << "The lines intersect";
        else if (s2 < 0)
            cout << "The lines doesn't intersect";

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


Output:

The Equation of the 1st line is : (4)x+(1)y+(-6) = 0
The Equation of the 2nd line is : (-1)x+(-9)y+(46) = 0
The lines doesn't intersect

The Equation of the 1st line is : (3)x+(7)y+(-59) = 0
The Equation of the 2nd line is : (-8)x+(1)y+(56) = 0
The lines intersect
------------------
(program exited with code: 0)
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