import numpy as np
import struct


def write_binary_stl(path, points):
    n = len(points) // 3

    points = np.array(points, dtype="float32").reshape((-1, 3, 3))
    normals = np.cross(points[:, 1] - points[:, 0], points[:, 2] - points[:, 0])
    normals /= np.linalg.norm(normals, axis=1).reshape((-1, 1))

    dtype = np.dtype(
        [
            ("normal", ("<f", 3)),
            ("points", ("<f", (3, 3))),
            ("attr", "<H"),
        ]
    )

    a = np.zeros(n, dtype=dtype)
    a["points"] = points
    a["normal"] = normals

    with open(path, "wb") as fp:
        fp.write(b"\x00" * 80)
        fp.write(struct.pack("<I", n))
        fp.write(a.tobytes())