#include #include #include #include #include using namespace std; #define offset 100 #define eps 1e-8 #define PI acos(-1.0) #define MAXN 105 #define zero(x) (((x)>0? (x):-(x))eps? 1:((x)<-eps? 2:0)) struct point { double x; double y; point(const double &x = 0, const double &y = 0):x(x), y(y) {} void in() { scanf("%lf %lf", &x, &y); } void out()const { printf("%.2f %.2f\n",x, y); } }; double xmult(point p1,point p2,point p0) { return (p1.x-p0.x)*(p2.y-p0.y)-(p2.x-p0.x)*(p1.y-p0.y); } double dis(point a, point b) { return sqrt( (a.x-b.x)*(a.x-b.x) + (a.y-b.y)*(a.y-b.y) ) ; } point p1,p2; int graham_cp(const void* a,const void* b) { double ret=xmult(*((point*)a),*((point*)b),p1); return zero(ret)?(xmult(*((point*)a),*((point*)b),p2)>0?1:-1):(ret>0?1:-1); } void _graham(int n,point* p,int& s,point* ch) { int i,k=0; for (p1=p2=p[0],i=1; ieps||(zero(p1.y-p[i].y)&&p1.x>p[i].x)) p1=p[k=i]; p2.x/=n,p2.y/=n; p[k]=p[0],p[0]=p1; qsort(p+1,n-1,sizeof(point),graham_cp); for (ch[0]=p[0],ch[1]=p[1],ch[2]=p[2],s=i=3; i2&&xmult(ch[s-2],p[i],ch[s-1])<-eps; s--); } int graham(int n,point* p,point* convex,int maxsize=1,int dir=1) { point* temp=new point[n]; int s,i; _graham(n,p,s,temp); for (convex[0]=temp[0],n=1,i=(dir?1:(s-1)); dir?(i2) { int num = graham(N,P,c); for(int i = 0; i < num-1; i ++) { ans+=dis(c[i],c[i+1]); } ans+=dis(c[0],c[num-1]); } else ans = dis(P[0],P[1])*2; printf("Case #%d: %.4lf\n",cas++,ans/(PI*D)); } }