#include #include using namespace std; #define rep(i,n) for(long long i = 0; i < (long long)(n); i++) #define repi(i,a,b) for(long long i = (long long)(a); i < (long long)(b); i++) #define pb push_back #define all(x) (x).begin(), (x).end() #define fi first #define se second #define mt make_tuple #define mp make_pair template bool chmin(T1 &a, T2 b) { return b < a && (a = b, true); } template bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } using ll = long long; using vll = vector; using vvll = vector; using P = pair; using ld = long double; using vld = vector; using vi = vector; using vvi = vector; vll conv(vi& v) { vll r(v.size()); rep(i, v.size()) r[i] = v[i]; return r; } inline void input(int &v){ v=0;char c=0;int p=1; while(c<'0' || c>'9'){if(c=='-')p=-1;c=getchar();} while(c>='0' && c<='9'){v=(v<<3)+(v<<1)+c-'0';c=getchar();} v*=p; } // これを使うならば、tieとかを消して!! template ostream &operator<<(ostream &o, const pair &v) { o << "(" << v.first << ", " << v.second << ")"; return o; } template struct seq{}; template struct gen_seq : gen_seq{}; template struct gen_seq<0, Is...> : seq{}; template void print_tuple(basic_ostream& os, Tuple const& t, seq){ using s = int[]; (void)s{0, (void(os << (Is == 0? "" : ", ") << get(t)), 0)...}; } template auto operator<<(basic_ostream& os, tuple const& t) -> basic_ostream& { os << "("; print_tuple(os, t, gen_seq()); return os << ")"; } ostream &operator<<(ostream &o, const vvll &v) { rep(i, v.size()) { rep(j, v[i].size()) o << v[i][j] << " "; o << endl; } return o; } template ostream &operator<<(ostream &o, const vector &v) { o << '['; rep(i, v.size()) o << v[i] << (i != v.size()-1 ? ", " : ""); o << "]"; return o; } template ostream &operator<<(ostream &o, const deque &v) { o << '['; rep(i, v.size()) o << v[i] << (i != v.size()-1 ? ", " : ""); o << "]"; return o; } template ostream &operator<<(ostream &o, const set &m) { o << '['; for (auto it = m.begin(); it != m.end(); it++) o << *it << (next(it) != m.end() ? ", " : ""); o << "]"; return o; } template ostream &operator<<(ostream &o, const unordered_set &m) { o << '['; for (auto it = m.begin(); it != m.end(); it++) o << *it << (next(it) != m.end() ? ", " : ""); o << "]"; return o; } template ostream &operator<<(ostream &o, const map &m) { o << '['; for (auto it = m.begin(); it != m.end(); it++) o << *it << (next(it) != m.end() ? ", " : ""); o << "]"; return o; } template ostream &operator<<(ostream &o, const unordered_map &m) { o << '['; for (auto it = m.begin(); it != m.end(); it++) o << *it; o << "]"; return o; } vector range(const int x, const int y) { vector v(y - x + 1); iota(v.begin(), v.end(), x); return v; } template istream& operator>>(istream& i, vector& o) { rep(j, o.size()) i >> o[j]; return i;} template ostream &operator<<(ostream &o, const priority_queue &v) { auto tmp = v; while (tmp.size()) { auto x = tmp.top(); tmp.pop(); o << x << " ";} return o; } template ostream &operator<<(ostream &o, const queue &v) { auto tmp = v; while (tmp.size()) { auto x = tmp.front(); tmp.pop(); o << x << " ";} return o; } template ostream &operator<<(ostream &o, const stack &v) { auto tmp = v; while (tmp.size()) { auto x = tmp.top(); tmp.pop(); o << x << " ";} return o; } template unordered_map counter(vector vec){unordered_map ret; for (auto&& x : vec) ret[x]++; return ret;}; string substr(string s, P x) {return s.substr(x.fi, x.se - x.fi); } void vizGraph(vvll& g, int mode = 0, string filename = "out.png") { ofstream ofs("./out.dot"); ofs << "digraph graph_name {" << endl; set

memo; rep(i, g.size()) rep(j, g[i].size()) { if (mode && (memo.count(P(i, g[i][j])) || memo.count(P(g[i][j], i)))) continue; memo.insert(P(i, g[i][j])); ofs << " " << i << " -> " << g[i][j] << (mode ? " [arrowhead = none]" : "")<< endl; } ofs << "}" << endl; ofs.close(); system(((string)"dot -T png out.dot >" + filename).c_str()); } size_t random_seed; namespace std { using argument_type = P; template<> struct hash { size_t operator()(argument_type const& x) const { size_t seed = random_seed; seed ^= hash{}(x.fi); seed ^= (hash{}(x.se) << 1); return seed; } }; }; // hash for various class struct timeval start; double sec() { struct timeval tv; gettimeofday(&tv, NULL); return (tv.tv_sec - start.tv_sec) + (tv.tv_usec - start.tv_usec) * 1e-6; } struct init_{init_(){ ios::sync_with_stdio(false); cin.tie(0); gettimeofday(&start, NULL); struct timeval myTime; struct tm *time_st; gettimeofday(&myTime, NULL); time_st = localtime(&myTime.tv_sec); srand(myTime.tv_usec); random_seed = RAND_MAX / 2 + rand() / 2; }} init__; #define ldout fixed << setprecision(40) #define EPS (double)1e-14 #define INF (ll)1e18 #define mo (ll)(1e9+7) using vec = vector; using mat = vector; mat mult(mat A, mat B) { mat ret(3, vec(3)); rep(i, 3) { rep(j, 3) { rep(h, 3) { ret[i][j] += A[i][h] * B[h][j]; } } } return ret; } mat inv(mat a) { mat ret(3, vec(3)); ret[0][0] = -(a[1][1]*a[2][2]-a[1][2]*a[2][1]); ret[0][1] = +(a[0][1]*a[2][2]-a[0][2]*a[2][1]); ret[0][2] = -(a[0][1]*a[1][2]-a[0][2]*a[1][1]); ret[1][0] = +(a[1][0]*a[2][2]-a[1][2]*a[2][0]); ret[1][1] = -(a[2][2]*a[0][0]-a[2][0]*a[0][2]); ret[1][2] = +(a[0][0]*a[1][2]-a[0][2]*a[1][0]); ret[2][0] = -(a[1][0]*a[2][1]-a[1][1]*a[2][0]); ret[2][1] = +(a[0][0]*a[2][1]-a[0][1]*a[2][0]); ret[2][2] = -(a[0][0]*a[1][1]-a[0][1]*a[1][0]); double coeff = - 1. / ( + a[0][0] * a[1][1] * a[2][2] + a[0][1] * a[1][2] * a[2][0] + a[0][2] * a[1][0] * a[2][1] - a[0][2] * a[1][1] * a[2][0] - a[0][1] * a[1][0] * a[2][2] - a[0][0] * a[1][2] * a[2][1] ); rep(i, 3) rep(j, 3) { ret[i][j] *= coeff; } return ret; } void print(mat a) { cout << "##########" << endl; rep(i, 3) { rep(j, 3) { cout << a[i][j] << "\t\t"; } cout << endl; } } int main(void) { double x, y, theta; cin >> x >> y >> theta; theta *= M_PI / 180; vector p1_o(2, 1), p2_o(2, 1); rep(i, 2) cin >> p1_o[i]; rep(i, 2) cin >> p2_o[i]; vec d_o = {p1_o[0] + p2_o[1] - p1_o[1], p1_o[1] + -(p2_o[0] - p1_o[0])}; // cout << p1_o << " " << p2_o << " " << d_o << endl; vector p1_x(2, 1), p2_x(2, 1); rep(i, 2) cin >> p1_x[i]; rep(i, 2) cin >> p2_x[i]; vec d_x = {p1_x[0] + p2_x[1] - p1_x[1], p1_x[1] + -(p2_x[0] - p1_x[0])}; // cout << p1_x << " " << p2_x << " " << d_x << endl; mat H_a(3, vec(3)); H_a[0][0] = cos(theta); H_a[0][1] = -sin(theta); H_a[0][2] = x; H_a[1][0] = sin(theta); H_a[1][1] = +cos(theta); H_a[1][2] = y; H_a[2][0] = 0; H_a[2][1] = 0; H_a[2][2] = 1; // print(H_a); mat P_o(3, vec(3, 1)); P_o[0][0] = p1_o[0]; P_o[1][0] = p1_o[1]; P_o[0][1] = p2_o[0]; P_o[1][1] = p2_o[1]; P_o[0][2] = d_o[0]; P_o[1][2] = d_o[1]; // print(P_o); mat P_x(3, vec(3, 1)); P_x[0][0] = p1_x[0]; P_x[1][0] = p1_x[1]; P_x[0][1] = p2_x[0]; P_x[1][1] = p2_x[1]; P_x[0][2] = d_x[0]; P_x[1][2] = d_x[1]; // print(P_x); // print(mult(inv(P_x) , P_x)); // print(inv(P_x)); mat H_b = mult(P_o, inv(P_x)); // print(H_b); H_b = mult(H_b, H_a); // print(H_b); cout << ldout << H_b[0][2] << " " << H_b[1][2] << " " << acos(H_b[0][0]) * 180.0 / M_PI << endl; return 0; }