httk.atomistic.symmetry.symop_key
=================================

.. py:module:: httk.atomistic.symmetry.symop_key

.. autoapi-nested-parse::

   Canonical keys for complete space-group operation sets.



Functions
---------

.. autoapisummary::

   httk.atomistic.symmetry.symop_key.symop_key_v1


Module Contents
---------------

.. py:function:: symop_key_v1(operations)

   Return the cross-repository v1 SHA-256 key for complete symmetry operations.

   This mirrors ``data-generators/generate_basics_hall.py:2957``: serialize each full
   (centering-folded) operation as its integer 3x3 rotation and translation reduced
   modulo one, deduplicate and lexically sort the serializations, then hash their
   pipe-join as UTF-8. The ``p_1`` first record keys to
   ``63dbcdb54bd5d8c35ce8ae32cb34369717b95ee5d3c49dba36f5bbf9bc800048``.

   :param operations: Exact affine operations or vendored affine-operation records.
   :return: The canonical v1 lowercase SHA-256 hexadecimal key.
   :raises ValueError: If a rotation coefficient is not an exact integer.