#include #include #include #include #include using namespace std; const double eps = 1e-6; int sgn(double x){ if(fabs(x) <= eps) return 0; return x > 0 ? 1 : -1; } struct P{ double x , y; P(double _x = 0,double _y = 0){ x = _x , y = _y; } void set(double _x,double _y){ x = _x , y = _y; } void out(){ printf("%.6lf %.6lf\n",x,y); } P operator + (P b){ return P(x+b.x,y+b.y); } P operator - (P b){ return P(x-b.x,y-b.y); } P operator / (double k){ return P(x/k , y/k); } bool operator == (const P&b) const{ return sgn(x - b.x) == 0 && sgn(y - b.y) == 0; } double lenq(){ return x*x + y*y; } double len(){ return sqrt(lenq()); } }; double dis(P a,P b){ return (a-b).len(); } struct Cir{ P o; double r; Cir(P _o,double _r = 0){ o = _o , r = _r; } void set(P _o,double _r){ o = _o , r = _r; } bool operator == (const Cir&b) const{ return o == b.o && sgn(r - b.r) == 0; } }; void c2point(Cir c1,Cir c2,P &rp1,P &rp2){ if(c1 == c2){ rp1 = c1.o + P(0,c1.r); rp2 = c1.o - P(0,c1.r); return; } P p1 = c1.o , p2 = c2.o; double r1 = c1.r , r2 = c2.r; double a = p2.x - p1.x , b = p2.y - p1.y , r = (a*a + b*b + r1*r1 - r2*r2) / 2; double tmp; if(a == 0 && b != 0){ rp1.y = rp2.y = r / b; tmp = r1 * r1 - rp1.y * rp1.y; if(sgn(tmp) <= 0) tmp = 0; rp1.x = sqrt(tmp); rp2.x = -rp1.x; } else if(a != 0 && b == 0){ rp1.x = rp2.x = r / a; tmp = r1 * r1 - rp1.x * rp1.x; if(sgn(tmp) <= 0) tmp = 0; rp1.y = sqrt(tmp); rp2.y = -rp1.y; } else if(a != 0 && b != 0){ double delta = b*b*r*r - (a*a + b*b) * (r*r - r1*r1*a*a); if(sgn(delta) <= 0) delta = 0; rp1.y = (b*r + sqrt(delta)) / (a*a + b*b); rp2.y = (b*r - sqrt(delta)) / (a*a + b*b); rp1.x = (r - b*rp1.y) / a; rp2.x = (r - b*rp2.y) / a; } rp1.x += p1.x , rp1.y += p1.y; rp1.x += p1.x , rp2.y += p1.y; } int T; double AB , BC , CD , DA , EF; P A , B , C , D , A2 , G; void graph_construct(){ C.set(0,0); B.set(BC,0); Cir O1(C,DA) , O2(B,2 * EF); P discard; c2point(O1,O2,A2,discard); G = A2 + (B - C); O1.set(C,CD);O2.set(G,AB); c2point(O1,O2,D,discard); A = D + (C - A2); } const double eps2 = 1e-4; int sgn2(double x){ if(fabs(x) <= eps2) return 0; return 1; } void spj(){ bool ff = true; if(sgn2(AB - dis(A,B)) != 0) ff = false; if(sgn2(BC - dis(B,C)) != 0) ff = false; if(sgn2(CD - dis(C,D)) != 0) ff = false; if(sgn2(DA - dis(D,A)) != 0) ff = false; if(sgn2(EF - dis((A+B)/2,(C+D)/2)) != 0) ff = false; } int main(){ scanf("%d",&T); for(int _=1;_<=T;++_){ scanf("%lf%lf%lf%lf%lf",&AB,&BC,&CD,&DA,&EF); graph_construct(); printf("Case #%d:\n",_); A.out();B.out();C.out();D.out(); spj(); } return 0; }