计算几何专项:UVa 11437
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求出r、p、q,然后求叉积,取绝对值再除以2就行了。第一次感受到lrj书上模板的威力,感觉好神奇!
#include <iostream>#include <fstream>#include <cstring>#include <cstdio>#include <cmath>using namespace std;struct point{ double x,y; point(double x=0,double y=0):x(x),y(y){}};point operator+(point a,point b) {return point(a.x+b.x,a.y+b.y);}point operator-(point a,point b) {return point(a.x-b.x,a.y-b.y);}point operator*(point a,double p) {return point(a.x*p,a.y*p);}point operator/(point a,double p) {return point(a.x/p,a.y/p);}const double eps=1e-10;int dcmp(double x){ if(fabs(x)<eps) return 0; else return x<0?-1:1;}bool operator==(const point& a,const point& b){ return dcmp(a.x-b.x)==0&&dcmp(a.y-b.y)==0;}double cross(point a,point b){ return a.x*b.y-a.y*b.x;}point getpoint(point p,point v,point q,point w){ point u=p-q; double t=cross(w,u)/cross(v,w); return p+v*t;}int main(){ freopen("in.txt","r",stdin); int T; cin>>T; while(T--) { double x1,y1,x2,y2,x3,y3; cin>>x1>>y1>>x2>>y2>>x3>>y3; point a=point(x1,y1); point b=point(x2,y2); point c=point(x3,y3); point e=point((x1+2*x3)/3,(y1+2*y3)/3); point d=point((x3+2*x2)/3,(y3+2*y2)/3); point f=point((x2+2*x1)/3,(y2+2*y1)/3); point r=getpoint(c,f-c,a,d-a); point p=getpoint(a,d-a,b,e-b); point q=getpoint(b,e-b,c,f-c); double area=fabs(cross(p-q,r-q))/2; printf("%.0f\n",area); } return 0;}
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