UniformManifoldGeometry.random_orthogonal

t3toolbox.uniform_manifold.UniformManifoldGeometry.random_orthogonal(shape, tucker_ranks, tt_ranks, stack_shape=(), tangent_stack_shape=(), use_jax=False)

def random_orthogonal(
        self,
        shape:                  typ.Sequence[int],         # (N0,...,N(d-1))
        tucker_ranks,                                      # int | len-d seq | (d,)+C array (the variety)
        tt_ranks,                                          # int | len-(d+1) seq | (d+1,)+C array
        stack_shape:            typ.Tuple[int, ...] = (),  # frame stack C (random base points)
        tangent_stack_shape:    typ.Tuple[int, ...] = (),  # tangent stack K
        use_jax:                bool = False,
) -> UT3Tangent:  # gauged random tangent at a random orthogonal base point

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

Parameters:

• shape (t3toolbox.backend.common.typ.Sequence[int])

• stack_shape (t3toolbox.backend.common.typ.Tuple[int, Ellipsis])

• tangent_stack_shape (t3toolbox.backend.common.typ.Tuple[int, Ellipsis])

• use_jax (bool)

Return type:

UT3Tangent