zoj 1597 Circular Area (求两园相交面积)
2014-11-15 20:24
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# include <algorithm> # include <stdio.h> # include <string.h> # include <iostream> # include <math.h> using namespace std; # define PI acos(-1.0) const double eps = 1e-8; struct node { double x; double y; double r; }; struct node a1[10]; double dis(double x1,double y1,double x2,double y2) { return sqrt( (x1-x2)*(x1-x2)+(y1-y2)*(y1-y2) ); } double area()///不相离不相含求相交面积 { double a = dis(a1[1].x,a1[1].y,a1[0].x,a1[0].y), b = a1[0].r, c = a1[1].r; double cta1 = acos((a * a + b * b - c * c) / 2 / (a * b)), cta2 = acos((a * a + c * c - b * b) / 2 / (a * c)); double s1 = a1[0].r*a1[0].r*cta1 - a1[0].r*a1[0].r*sin(cta1)*(a * a + b * b - c * c) / 2 / (a * b); double s2 = a1[1].r*a1[1].r*cta2 - a1[1].r*a1[1].r*sin(cta2)*(a * a + c * c - b * b) / 2 / (a * c); return s1 + s2; } int main() { double x1,x2,y1,y2,xx1,xx2,yy1,yy2; double d1,d2,d3,d4,d5,d6,d7,d8; while(~scanf("%lf %lf %lf %lf %lf %lf",&a1[0].x,&a1[0].y,&a1[0].r,&a1[1].x,&a1[1].y,&a1[1].r)) { if(dis(a1[0].x,a1[0].y,a1[1].x,a1[1].y)<=fabs(a1[0].r-a1[1].r))///相包含 { if(a1[1].r>a1[0].r) printf("%.3lf\n",PI*a1[0].r*a1[0].r); else printf("%.3lf\n",PI*a1[1].r*a1[1].r); } else if(dis(a1[0].x,a1[0].y,a1[1].x,a1[1].y)>=a1[0].r+a1[1].r)///相离 printf("0.000\n"); else ///相交 printf("%.3lf\n",area()); } return 0; }
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