zoj 1280 Intersecting Lines(两直线交点)
题意:n组数据,每组两条直线两端点坐标,判断线段平行、重合,相交;
思路:利用叉积跨立实验判断重合与平行,交点公式求交点;zoj过了,可是poj1269一样的题,poj上把%lf都改为%.f才能AC。
#include<cstdio> #include<cstring> #include<cmath> #include<algorithm> using namespace std; const double epsi=1e-10; inline int sign(const double &x){ if(x>epsi) return 1; if(x<-epsi) return -1; return 0; } struct point{ double x,y; point(double xx=0,double yy=0):x(xx),y(yy){} point operator -(const point &op2) const{ return point(x-op2.x,y-op2.y); } double operator ^(const point &op2) const{ return x*op2.y-y*op2.x; } }; inline double sqr(const double &x){ return x*x; } inline double mul(const point &p0,const point &p1,const point &p2){ return (p1-p0)^(p2-p0); } inline double dis2(const point &p0,const point &p1){ return sqr(p0.x-p1.x)+sqr(p0.y-p1.y); } inline double dis(const point &p0,const point &p1){ return sqrt(dis2(p0,p1)); } inline int cross(const point &p1,const point &p2,const point &p3,const point &p4,point &p){ double a1=mul(p1,p2,p3),a2=mul(p1,p2,p4); if(sign(a1)==0&&sign(a2)==0) return 2;//重叠 if(sign(a1-a2)==0) return 0; p.x=(a2*p3.x-a1*p4.x)/(a2-a1); p.y=(a2*p3.y-a1*p4.y)/(a2-a1); //利用公式计算交点 return 1; } point p1,p2,p3,p4,p; int main() { int test=0; scanf("%d",&test); printf("INTERSECTING LINES OUTPUT\n"); while(test--){ scanf("%lf%lf%lf%lf%lf%lf%lf%lf",&p1.x,&p1.y,&p2.x,&p2.y,&p3.x,&p3.y,&p4.x,&p4.y); int m=cross(p1,p2,p3,p4,p); if(m==0) printf("NONE\n"); else if(m==2) printf("LINE\n"); else printf("POINT %.2lf %.2lf\n",p.x,p.y); } printf("END OF OUTPUT\n"); return 0; }
有些梦想现在不去实现,以后就再也没机会了!!