kalpesh77/Multiverse-field-coordinates

1 2"""3Generate all layers for given dimensions.4"""5import numpy as np6import pandas as pd7from pathlib import Path8from utils.orthogonal_bases import generate_orthogonal_matrix9from utils.hypersphere import point_on_hypersphere10 11def generate_coords(n_dim, layer=1, ids=range(1, 109), angles=np.arange(0, 361)):12    radius = 0.2 + (layer - 1) * 0.1513    rows = []14    for id_num in ids:15        Q = generate_orthogonal_matrix(n_dim, id_num)16        row = {"ID": id_num}17        for angle_deg in angles:18            theta = np.deg2rad(angle_deg)19            base = point_on_hypersphere(n_dim, theta)20            final = (Q @ base) * radius21            row[str(angle_deg)] = ",".join(f"{v:.6f}" for v in final)22        rows.append(row)23    df = pd.DataFrame(rows)24    return df[["ID"] + [str(a) for a in angles]]25 26if __name__ == "__main__":27    dims = [3, 8, 16, 32, 64]28    base = Path("data")29    for layer in range(1, 8):30        for dim in dims:31            print(f"Generating layer_{layer:02d} | {dim}D ...")32            df = generate_coords(dim, layer=layer)33            out = base / f"layer_{layer:02d}" / f"coords_{dim}d.csv"34            out.parent.mkdir(parents=True, exist_ok=True)35            df.to_csv(out, index=False)36            print(f"  → {out}")37