ManifoldGeometry.random_orthogonal
==================================

.. py:method:: t3toolbox.manifold.ManifoldGeometry.random_orthogonal(shape, tucker_ranks, tt_ranks, stack_shape = (), tangent_stack_shape = (), use_jax = False)

   .. code-block:: python

      def random_orthogonal(
              self,
              shape:                  typ.Sequence[int],         # (N0,...,N(d-1))
              tucker_ranks:           typ.Sequence[int],         # (n0,...,n(d-1))
              tt_ranks:               typ.Sequence[int],         # (1,r1,...,r(d-1),1)
              stack_shape:            typ.Tuple[int, ...] = (),  # frame stack C (random base points)
              tangent_stack_shape:    typ.Tuple[int, ...] = (),  # tangent stack K
              use_jax:                bool = False,
      ) -> T3Tangent:  # gauged random tangent at a random orthogonal base point


   A gauged random tangent at a random orthogonal base point (random direction, random frame).