""" Generate one layer + one dimension. Usage example (inside Colab or local): python generate_single.py --layer 1 --dim 8 """ import argparse import numpy as np import pandas as pd from pathlib import Path from utils.orthogonal_bases import generate_orthogonal_matrix from utils.hypersphere import point_on_hypersphere def generate_coords(n_dim, layer=1, ids=range(1, 109), angles=np.arange(0, 361)): radius = 0.2 + (layer - 1) * 0.15 rows = [] for id_num in ids: Q = generate_orthogonal_matrix(n_dim, id_num) row = {"ID": id_num} for angle_deg in angles: theta = np.deg2rad(angle_deg) base = point_on_hypersphere(n_dim, theta) final = (Q @ base) * radius row[str(angle_deg)] = ",".join(f"{v:.6f}" for v in final) rows.append(row) df = pd.DataFrame(rows) return df[["ID"] + [str(a) for a in angles]] if __name__ == "__main__": parser = argparse.ArgumentParser() parser.add_argument("--layer", type=int, default=1) parser.add_argument("--dim", type=int, default=3) parser.add_argument("--out_dir", type=str, default="data") args = parser.parse_args() df = generate_coords(args.dim, layer=args.layer) out = Path(args.out_dir) / f"layer_{args.layer:02d}" / f"coords_{args.dim}d.csv" out.parent.mkdir(parents=True, exist_ok=True) df.to_csv(out, index=False) print(f"Saved: {out} | shape={df.shape}")