/* poj 3130 How I Mathematician Wonder What You Are! - 求多边形有没有核 */ #include#include const double eps=1e-8; const int N=103; struct point { double x,y; }dian[N]; inline bool mo_ee(double x,double y) { double ret=x-y; if(ret<0) ret=-ret; if(ret y + eps;} // x > y inline bool mo_ll(double x,double y) { return x < y - eps;} // x < y inline bool mo_ge(double x,double y) { return x > y - eps;} // x >= y inline bool mo_le(double x,double y) { return x < y + eps;} // x <= y inline double mo_xmult(point p2,point p0,point p1)//p1在p2左返回负,在右边返回正 { return (p1.x-p0.x)*(p2.y-p0.y)-(p2.x-p0.x)*(p1.y-p0.y); } point mo_intersection(point u1,point u2,point v1,point v2) { point ret=u1; double t=((u1.x-v1.x)*(v1.y-v2.y)-(u1.y-v1.y)*(v1.x-v2.x)) /((u1.x-u2.x)*(v1.y-v2.y)-(u1.y-u2.y)*(v1.x-v2.x)); ret.x+=(u2.x-u1.x)*t; ret.y+=(u2.y-u1.y)*t; return ret; } ///////////////////////// //切割法求半平面交 point mo_banjiao_jiao[N*2]; point mo_banjiao_jiao_temp[N*2]; void mo_banjiao_cut(point *ans,point qian,point hou,int &nofdian) { int i,k; for(i=k=0;i /* 为什么ret<3 */ #include#include #include using namespace std; const double eps=1e-8; struct point { double x,y; }dian[20000+10]; point jiao[203]; struct line { point s,e; double angle; }xian[20000+10]; int n,yong; bool mo_ee(double x,double y) { double ret=x-y; if(ret<0) ret=-ret; if(ret y + eps;} // x > y bool mo_ll(double x,double y) { return x < y - eps;} // x < y bool mo_ge(double x,double y) { return x > y - eps;} // x >= y bool mo_le(double x,double y) { return x < y + eps;} // x <= y point mo_intersection(point u1,point u2,point v1,point v2) { point ret=u1; double t=((u1.x-v1.x)*(v1.y-v2.y)-(u1.y-v1.y)*(v1.x-v2.x)) /((u1.x-u2.x)*(v1.y-v2.y)-(u1.y-u2.y)*(v1.x-v2.x)); ret.x+=(u2.x-u1.x)*t; ret.y+=(u2.y-u1.y)*t; return ret; } double mo_xmult(point p2,point p0,point p1)//p1在p2左返回负,在右边返回正 { return (p1.x-p0.x)*(p2.y-p0.y)-(p2.x-p0.x)*(p1.y-p0.y); } void mo_HPI_addl(point a,point b) { xian[yong].s=a; xian[yong].e=b; xian[yong].angle=atan2(b.y-a.y,b.x-a.x); yong++; } //半平面交 bool mo_HPI_cmp(const line& a,const line& b) { if(mo_ee(a.angle,b.angle)) { return mo_gg( mo_xmult(b.e,a.s,b.s),0); }else { return mo_ll(a.angle,b.angle); } } int mo_HPI_dq[20000+10]; bool mo_HPI_isout(line cur,line top,line top_1) { point jiao=mo_intersection(top.s,top.e,top_1.s,top_1.e); return mo_ll( mo_xmult(cur.e,jiao,cur.s),0);//若顺时针时应为mo_gg } int mo_HalfPlaneIntersect(line *xian,int n,point *jiao) { int i,j,ret=0; sort(xian,xian+n,mo_HPI_cmp); for (i = 0, j = 0; i < n; i++) { if (mo_gg(xian[i].angle,xian[j].angle)) { xian[++j] = xian[i]; } } n=j+1; mo_HPI_dq[0]=0; mo_HPI_dq[1]=1; int top=1,bot=0; for (i = 2; i < n; i++) { while (top > bot && mo_HPI_isout(xian[i], xian[mo_HPI_dq[top]], xian[mo_HPI_dq[top-1]])) top--; while (top > bot && mo_HPI_isout(xian[i], xian[mo_HPI_dq[bot]], xian[mo_HPI_dq[bot+1]])) bot++; mo_HPI_dq[++top] = i; //当前半平面入栈 } while (top > bot && mo_HPI_isout(xian[mo_HPI_dq[bot]], xian[mo_HPI_dq[top]], xian[mo_HPI_dq[top-1]])) top--; while (top > bot && mo_HPI_isout(xian[mo_HPI_dq[top]], xian[mo_HPI_dq[bot]], xian[mo_HPI_dq[bot+1]])) bot++; mo_HPI_dq[++top] = mo_HPI_dq[bot]; for (ret = 0, i = bot; i < top; i++, ret++) { jiao[ret]=mo_intersection(xian[mo_HPI_dq[i+1]].s,xian[mo_HPI_dq[i+1]].e,xian[mo_HPI_dq[i]].s,xian[mo_HPI_dq[i]].e); } return ret; } int main() { int i; while(scanf("%d",&n),n) { yong=0; for(i=0;i