Vector cross product to judge the intersection of line segments

 

For the determination of whether two straight lines intersect, use the cross product:

For example, two straight lines, p1 p2, q1q2, are used to judge whether they intersect, then according to q1p1 cross q1q2*q1q2 cross q2p2 If it is greater than or equal to 0, it will intersect, otherwise it will not intersect.

Here is the judgment code:

?
#include<stdio.h>
typedef struct node{
                   int x,y;
                   }point;
 
point p1,p2,q1,q2;
int result1,result2;
 
  int cross(point a,point b1,point b2)
  {
    int x1,y1,x2,y2;
     x1=a.x-b1.x;
     y1=a.y-b1.y;
     x2=b2.x-b1.x;
     y2=b2.y-b1.y;  
     return x1*y2-x2*y1;
  }
 
 
 
int main()
{
     while (1)
     {
     scanf( "%d %d" ,&p1.x,&p1.y);
     scanf( "%d %d" ,&p2.x,&p2.y);       
     scanf( "%d %d" ,&q1.x,&q1.y);       
     scanf( "%d %d" ,&q2.x,&q2.y);
     result1=cross(p1,q1,q2);  注意cross中向量的顺序,要相减的向量放在前面;
     result2=cross(p2,q2,q1);
     printf( "result1=%d result2=%d\n" ,result1,result2);
     if (result1*result2>=0)printf( "YES\n" );       //  叉乘后两向量的乘积大于0则相交
     else printf( "NO\n" );                         //  反之则不相交。
     
     }
}

 

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