UniformCorewiseGeometryOps
==========================

.. toctree::
   :hidden:

   /autoapi/t3toolbox/backend/geometry/UniformCorewiseGeometryOps.from_point
   /autoapi/t3toolbox/backend/geometry/UniformCorewiseGeometryOps.with_sharing
   /autoapi/t3toolbox/backend/geometry/UniformCorewiseGeometryOps.frame
   /autoapi/t3toolbox/backend/geometry/UniformCorewiseGeometryOps.stack_shape
   /autoapi/t3toolbox/backend/geometry/UniformCorewiseGeometryOps.base_point
   /autoapi/t3toolbox/backend/geometry/UniformCorewiseGeometryOps.precompute
   /autoapi/t3toolbox/backend/geometry/UniformCorewiseGeometryOps.project
   /autoapi/t3toolbox/backend/geometry/UniformCorewiseGeometryOps.retract
   /autoapi/t3toolbox/backend/geometry/UniformCorewiseGeometryOps.inner
   /autoapi/t3toolbox/backend/geometry/UniformCorewiseGeometryOps.point_norm_sq
   /autoapi/t3toolbox/backend/geometry/UniformCorewiseGeometryOps.point_tangent

.. py:class:: t3toolbox.backend.geometry.UniformCorewiseGeometryOps

   Bases: :py:obj:`t3toolbox.backend.common.ValueHashedFields`


   The uniform **corewise** geometry at a fixed rank -- the raw-supercore twin of
   :py:data:`t3toolbox.uniform_manifold.UNIFORM_COREWISE`.

   As :py:class:`CorewiseGeometryOps`: the cores are the frame, no gauge, additive retraction; and as
   :py:class:`UniformManifoldGeometryOps`, the rank structure is held here because the optimizer state
   is a bare supercore pair. The variation masks are a pure derivation of the plain masks here (the
   ``(U, G, G, G)`` frame's gauge shift), so ``from_point`` needs no orthogonalization.


   .. py:attribute:: shape
      :type:  t3toolbox.backend.common.typ.Tuple[int, ...]


   .. py:attribute:: masks
      :type:  t3toolbox.backend.common.typ.Tuple


   .. py:attribute:: groups
      :type:  t3toolbox.backend.common.typ.Tuple[t3toolbox.backend.common.typ.Tuple[int, ...], ...]
      :value: ()



   .. py:property:: n_stack
      :type: int


      ``|C|``, the frame stack rank (see :py:attr:`UniformManifoldGeometryOps.n_stack`).


   .. py:property:: var_masks
      :type: t3toolbox.backend.common.typ.Tuple


      The variation masks of the ``(U, G, G, G)`` frame -- the corewise frame's mask set put
      through the gauge shift. A pure derivation of :py:attr:`masks`, so it is a property rather
      than a stored field.

Methods
-------

.. autoapisummary::

   t3toolbox.backend.geometry.UniformCorewiseGeometryOps.from_point
   t3toolbox.backend.geometry.UniformCorewiseGeometryOps.with_sharing
   t3toolbox.backend.geometry.UniformCorewiseGeometryOps.frame
   t3toolbox.backend.geometry.UniformCorewiseGeometryOps.stack_shape
   t3toolbox.backend.geometry.UniformCorewiseGeometryOps.base_point
   t3toolbox.backend.geometry.UniformCorewiseGeometryOps.precompute
   t3toolbox.backend.geometry.UniformCorewiseGeometryOps.project
   t3toolbox.backend.geometry.UniformCorewiseGeometryOps.retract
   t3toolbox.backend.geometry.UniformCorewiseGeometryOps.inner
   t3toolbox.backend.geometry.UniformCorewiseGeometryOps.point_norm_sq
   t3toolbox.backend.geometry.UniformCorewiseGeometryOps.point_tangent