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  • poj1329Circle Through Three Points(三角形外接圆)

    链接

    套模板

    不知道有没有x,y=0情况,不过这种情况都按+号输出的。

     1 #include <iostream>
     2 #include<cstdio>
     3 #include<cstring>
     4 #include<algorithm>
     5 #include<stdlib.h>
     6 #include<vector>
     7 #include<cmath>
     8 #include<queue>
     9 #include<set>
    10 using namespace std;
    11 #define N 100000
    12 #define LL long long
    13 #define INF 0xfffffff
    14 const double eps = 1e-8;
    15 const double pi = acos(-1.0);
    16 const double inf = ~0u>>2;
    17 struct Point
    18 {
    19     double x,y;
    20     Point (double x=0,double y =0):x(x),y(y){}
    21 }p[4];
    22 struct Circle
    23 {
    24     Point center;
    25     double r;
    26 };
    27 typedef Point pointt;
    28 pointt operator - (Point a,Point b)
    29 {
    30     return Point(a.x-b.x,a.y-b.y);
    31 }
    32 int dcmp(double x)
    33 {
    34     if(fabs(x)<eps) return 0;
    35     return x<0?-1:1;
    36 }
    37 double dis(Point a)
    38 {
    39     return a.x*a.x+a.y*a.y;
    40 }
    41 double cross(Point a,Point b)
    42 {
    43     return a.x*b.y-a.y*b.x;
    44 }
    45 double area()
    46 {
    47     return fabs(cross(p[1]-p[2],p[2]-p[3]))/2;
    48 }
    49 struct Circle Circumcircle()
    50 {
    51     Circle tmp;
    52     double a,b,c,c1,c2;
    53     double xa,ya,xb,yb,xc,yc;
    54     a = sqrt(dis(p[3]-p[1]));
    55     b = sqrt(dis(p[1]-p[2]));
    56     c = sqrt(dis(p[2]-p[3]));
    57     //根据s = a*b*c/R/4,求半径
    58     tmp.r = (a*b*c)/(area()*4.0);
    59     xa = p[3].x;
    60     ya = p[3].y;
    61     xb = p[1].x;
    62     yb = p[1].y;
    63     xc = p[2].x;
    64     yc = p[2].y;
    65     c1 = (dis(p[3])-dis(p[1]))/2;
    66     c2 = (dis(p[3])-dis(p[2]))/2;
    67     tmp.center.x = (c1*(ya-yc)-c2*(ya-yb))/((xa-xb)*(ya-yc)-(xa-xc)*(ya-yb));
    68     tmp.center.y = (c1*(xa-xc)-c2*(xa-xb))/((ya-yb)*(xa-xc)-(ya-yc)*(xa-xb));
    69     return tmp;
    70 }
    71 int main()
    72 {
    73     while(scanf("%lf%lf%lf%lf%lf%lf",&p[1].x,&p[1].y,&p[2].x,&p[2].y,&p[3].x,&p[3].y)!=EOF)
    74     {
    75         Circle cc = Circumcircle();
    76         double r = cc.r;
    77         char c1,c2;
    78         c1 = dcmp(cc.center.x)>0?'-':'+';
    79         c2 = dcmp(cc.center.y)>0?'-':'+';
    80         printf("(x %c %.3f)^2 + (y %c %.3f)^2 = %.3f^2
    ",c1,fabs(cc.center.x),c2,fabs(cc.center.y),r);
    81         double s = r*r-cc.center.x*cc.center.x-cc.center.y*cc.center.y;
    82         char c3 = dcmp(s)>0?'-':'+';
    83         printf("x^2 + y^2 %c %.3fx %c %.3fy %c %.3f = 0
    ",c1,fabs(cc.center.x*2),c2,fabs(cc.center.y*2),c3,fabs(s));
    84         puts("");
    85     }
    86     return 0;
    87 }
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  • 原文地址:https://www.cnblogs.com/shangyu/p/3825210.html
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