import numpy as np


def N_to_reso(n_voxels, bbox):
    xyz_min, xyz_max = bbox
    dim = len(xyz_min)
    voxel_size = ((xyz_max - xyz_min).prod() / n_voxels).pow(1 / dim)
    return ((xyz_max - xyz_min) / voxel_size).long().tolist()

def cal_n_samples(reso, step_ratio=0.5):
    return int(np.linalg.norm(reso)/step_ratio)