Check If two Line segments Intersect.cpp

class Solution {

  public:

    string doIntersect(int p1[], int q1[], int p2[], int q2[]) {

 

        double m1 = (double)(q1[1] - p1[1]) / (double)(q1[0] - p1[0]);

        double m2 = (double)(q2[1] - p2[1]) / (double)(q2[0] - p2[0]);

        if(m1 == m2){

            return "false";

        }

        bool chk211 = p2[1]-p1[1] - m1*(p2[0]-p1[0]) >0?true:false;

        bool chk212 = q2[1]-p1[1] - m1*(q2[0]-p1[0]) >0?true:false;

        bool chk121 = p1[1]-p2[1] - m2*(p1[0]-p2[0]) >0?true:false;

        bool chk122 = q1[1]-p2[1] - m2*(q1[0]-p2[0]) >0?true:false;

        if((chk211==true && chk212 == true) || (chk211==false && chk212 == false) || 

        (chk121 == true && chk122 == true) || (chk121 == false && chk122 == false)){

            return "false";

        }

        return "true";

    }

};