凸包(转自水神百度文库)
来源:互联网 发布:老男孩 筷子兄弟 知乎 编辑:程序博客网 时间:2024/04/29 00:24
#include<stdio.h>#include<math.h>#include<algorithm>using namespace std;struct Point{ double x,y,len;}Pt[20000],Stack[20000],Point_A;double Cross(Point a,Point b,Point c){ return (b.x-a.x)*(c.y-a.y)-(b.y-a.y)*(c.x-a.x);}double Dis(Point a,Point b){ return sqrt(pow(a.x-b.x,2)+pow(a.y-b.y,2));}void FindPoint(int n){ int i,tempNumber=0; Point tempPoint; Point_A=Pt[0]; for(i=1;i<n;i++) { if(Pt[i].y<Point_A.y||Pt[i].y==Point_A.y&&Pt[i].x<Point_A.x) { tempNumber=i; Point_A=Pt[i]; } } tempPoint=Pt[0]; Pt[0]=Pt[tempNumber]; Pt[tempNumber]=tempPoint;}bool Cmp(Point a,Point b){ double k=Cross(Point_A,a,b); if(k>0) return true; if(k<0) return false; a.len=Dis(Point_A,a); b.len=Dis(Point_A,b); return a.len>b.len;}void Graham(int n){ int i,top=2; Pt[n]=Pt[0]; Stack[0]=Pt[0]; Stack[1]=Pt[1]; Stack[2]=Pt[2]; for(i=3;i<=n;i++) { while(Cross(Stack[top-1],Stack[top],Pt[i])<=0&&top>1) top--; Stack[++top]=Pt[i]; }}int main(void){ int i,Num; while(scanf("%d",&Num)!=EOF) { for(i=0;i<Num;i++) scanf("%lf%lf",&Pt[i].x,&Pt[i].y); FindPoint(Num); sort(Pt,Pt+Num,Cmp); Graham(Num); } return 0;}