| import numpy as np | |
| def generate_orthogonal_matrix(n, id_num): | |
| """Deterministic orthogonal matrix for given ID and dimension.""" | |
| rng = np.random.RandomState(id_num * 17 + 42) | |
| A = rng.randn(n, n) | |
| Q, _ = np.linalg.qr(A) | |
| if np.linalg.det(Q) < 0: | |
| Q[:, 0] = -Q[:, 0] | |
| return Q | |