compute_manifold_dim
====================

.. py:function:: t3toolbox.backend.ranks.compute_manifold_dim(shape, tucker_ranks, tt_ranks)

   .. code-block:: python

      def compute_manifold_dim(
              shape:          typ.Sequence[int],  # (N0, ..., N(d-1))
              tucker_ranks:   typ.Sequence[int],  # (n0, ..., n(d-1))
              tt_ranks:       typ.Sequence[int],  # (r0, ..., rd)
      ) -> int:


   Dimension of the fixed-rank Tucker tensor train manifold for the given structure.

   Computed from the structurally-minimal ranks (gauge already quotiented), so this is the true
   tangent-space dimension for a minimal-rank base point.