完整题目都在图片里,谢谢。
2条回答 默认 最新
- threenewbee 2019-10-19 13:37关注
题目完整了么?下面没有explanation之类的了?目测就是判断点对和多边形的边有没有交点
#include <stdio.h> #include <iostream> using namespace std; struct point { double x,y; }; struct segment { point begin,end; }; double min(double x,double y) { return x<y?x:y; } double max(double x,double y) { return x>y?x:y; } bool onsegment(point pi,point pj,point pk) //判断点pk是否在线段pi pj上 { if(min(pi.x,pj.x)<=pk.x&&pk.x<=max(pi.x,pj.x)) { if(min(pi.y,pj.y)<=pk.y&&pk.y<=max(pi.y,pj.y)) { return true; } } return false; } double direction(point pi,point pj,point pk) //计算向量pkpi和向量pjpi的叉积 { return (pi.x-pk.x)*(pi.y-pj.y)-(pi.y-pk.y)*(pi.x-pj.x); } bool judge(point p1,point p2,point p3,point p4) //判断线段p1p2和p3p4是否相交 { double d1 = direction(p3,p4,p1); double d2 = direction(p3,p4,p2); double d3 = direction(p1,p2,p3); double d4 = direction(p1,p2,p4); if(d1*d2<0&&d3*d4<0) return true; if(d1==0&&onsegment(p3,p4,p1)) return true; if(d2==0&&onsegment(p3,p4,p2)) return true; if(d3==0&&onsegment(p1,p2,p3)) return true; if(d4==0&&onsegment(p1,p2,p4)) return true; return false; } int main() { int n, m; cin >> n >> m; point * v = new point[n]; point * p = new point[m]; for (int i = 0; i < n; i++) { int x, y; cin >> x >> y; v[i].x = x; v[i].y = y; } for (int i = 0; i < m; i++) { int x, y; cin >> x >> y; p[i].x = x; p[i].y = y; } int cnt = 0; for (int a = 0; a < m - 1; a++) for (int b = a + 1; b < m; b++) { int flag = 0; for (int c = 0; c < n - 1; c++) { if (judge(p[a], p[b], v[c], v[c + 1])) { flag = 1; break; } } if (!flag) if (judge(p[a], p[b], v[0], v[n-1])) flag = 1; if (!flag) cnt++; } cout << cnt << endl; return 0; }
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