frame_variations_format
=======================


.. py:module:: t3toolbox.frame_variations_format

.. autoapi-nested-parse::

   The frontend frame/variations classes: ``T3Frame`` (orthogonal frame) + ``T3Variations``.

   A (frame, variations) pair is the orthogonal representation of a tangent direction to the
   fixed-rank T3 manifold (T4S Appendix A). ``T3Frame.data = (up, down, left, right) = (U, O, P, Q)``;
   structural validation runs in ``__post_init__``. ``t3_orthogonal_representations`` here returns
   the frontend objects; the same-named backend function (``backend.fv_conversions``) returns raw data.



Classes
-------

.. toctree::
   :hidden:

   /autoapi/t3toolbox/frame_variations_format/T3Frame
   /autoapi/t3toolbox/frame_variations_format/T3Variations
   /autoapi/t3toolbox/frame_variations_format/T3FrameWeights

.. autoapisummary::

   t3toolbox.frame_variations_format.T3Frame
   t3toolbox.frame_variations_format.T3Variations
   t3toolbox.frame_variations_format.T3FrameWeights


Functions
---------

.. toctree::
   :hidden:

   /autoapi/t3toolbox/frame_variations_format/fv_to_t3
   /autoapi/t3toolbox/frame_variations_format/t3_orthogonal_representations
   /autoapi/t3toolbox/frame_variations_format/fv_absorb_weights

.. autoapisummary::

   t3toolbox.frame_variations_format.fv_to_t3
   t3toolbox.frame_variations_format.t3_orthogonal_representations
   t3toolbox.frame_variations_format.fv_absorb_weights