#include #define VARNAME(x) #x #define show(x) cerr << #x << " = " << x << endl using namespace std; using ll = long long; using ld = long double; template ostream& operator<<(ostream& os, const vector& v) { os << "sz:" << v.size() << "\n["; for (const auto& p : v) { os << p << ","; } os << "]\n"; return os; } template ostream& operator<<(ostream& os, const pair& p) { os << "(" << p.first << "," << p.second << ")"; return os; } constexpr ll MOD = (ll)1e9 + 7LL; constexpr ld PI = static_cast(3.1415926535898); template constexpr T INF = numeric_limits::max() / 10; struct Vec { Vec() : dx{0}, dy{0} {} Vec(const ld dx, const ld dy) : dx{dx}, dy{dy} {} ld dx; ld dy; Vec rotate(const ld theta) const { Vec ans; ans.dx = cos(theta) * dx - sin(theta) * dy; ans.dy = sin(theta) * dx + cos(theta) * dy; return ans; } Vec operator*(const ld x) const { Vec ans = *this; ans.dx *= x; ans.dy *= x; return ans; } ld norm() const { return hypot(dx, dy); } void normalize() { const ld n = norm(); dx /= n; dy /= n; } }; ostream& operator<<(ostream& os, const Vec& v) { os << "(" << v.dx << "," << v.dy << ")"; return os; } int main() { cin.tie(0); ios::sync_with_stdio(false); int N; cin >> N; for (int q = 0; q < N; q++) { int T; cin >> T; ld p, omega, v, gx, gy; cin >> p >> omega >> v >> gx >> gy; const ld l = hypot(omega, (ld)(1 + v)); const ld theta = (1 + v > 0 ? atan(omega / (1 + v)) : PI + atan(omega / (1 + v))); gx -= pow(l, T) * cos(T * theta); gy -= pow(l, T) * sin(T * theta); Vec g{gx, gy}; const ld R = g.norm(); g.normalize(); show(g); const ld F = R * (1 - l * l) / (1 - pow(l, 2 * T)); ld sum = 0; vector u(T); for (int i = 0; i < T; i++) { const Vec v = g.rotate((i + 1 - T) * theta) * (F * pow(l, T - 1 - i)); u[i] = v; sum += v.norm() * v.norm(); cout << v.dx << " " << v.dy << endl; } assert(sum < p); ld xpos = 1; ld ypos = 0; const string name = "data_" + to_string(gx) + "_" + to_string(gy); ofstream fout(name); fout << fixed << setprecision(15) << xpos << " " << ypos << endl; for (int i = 0; i < T; i++) { ld x = xpos * (1 + v) - ypos * omega + u[i].dx; ld y = ypos * (1 + v) + xpos * omega + u[i].dy; fout << x << " " << y << endl; xpos = x; ypos = y; } } return 0; }