#include #include #include #include #include #include using namespace std; long double pi = acos(-1); long double hypot2(long double x, long double y) { return x*x + y*y; } void solve() { int t; long double p, w, v, gx, gy; cin >> t >> p >> w >> v >> gx >> gy; long double D = hypot(1+v, w); long double gr = hypot(gx, gy); long double d = (gr - pow(D, t)) * (D - 1) / (pow(D, t) - 1); long double x = 1; long double y = 0; long double theta = fmod((atan2(w, 1 + v) + 2*pi) * t, 2*pi); long double phi = fmod(atan2(gy, gx) + 2*pi, 2*pi); long double dw; if (phi > theta) { if (phi - theta < 2*pi - (phi - theta)) { dw = phi - theta; } else { dw = -(2 * pi - (phi - theta)); } } else { if (theta - phi < 2*pi - (theta - phi)) { dw = phi - theta; } else { dw = 2 * pi - (theta - phi); } } long double ok = 1e10; long double ng = 0; for (int ii = 0; ii < 500; ii++) { long double mid = (ok + ng) / 2; long double sum = 0; long double r = 1; for (int i = 0; i < t; i++) { r = r*D + d; sum += sqrt(mid / t) / r; } if (sum >= abs(dw)) { ok = mid; } else { ng = mid; } } vector dx(t); vector dy(t); long double ww = 0; for (int i = 0; i < t; i++) { long double x0 = x; long double y0 = y; x = x0 * (1+v) - y0 * w; y = y0 * (1+v) + x0 * w; long double x2 = x; long double y2 = y; long double r = hypot(x, y); x += x / r * d; y += y / r * d; r += d; long double x1 = x; long double y1 = y; long double tmp = sqrt(ok / t) / r * (dw > 0 ? 1 : -1); ww += tmp; x = x1 * cos(tmp) - y1 * sin(tmp); y = x1 * sin(tmp) + y1 * cos(tmp); dx[i] = x - x2; dy[i] = y - y2; } x = 1; y = 0; long double s = 0; for (int i = 0; i < t; i++) { long double x0 = x; long double y0 = y; x = x0 * (v + 1) - w * y0 + dx[i]; y = y0 * (v + 1) + w * x0 + dy[i]; s += hypot2(dx[i], dy[i]); } fprintf(stderr, "P=%.30Lf\n", s); for (int i = 0; i < t; i++) { printf("%.30Lf %.30Lf\n", dx[i], dy[i]); } } int main() { int T; cin >> T; while (T--) solve(); }