:py:mod:`RNADiscrepancy.geometry`
=================================

.. py:module:: RNADiscrepancy.geometry

.. autodoc2-docstring:: RNADiscrepancy.geometry
   :allowtitles:

Module Contents
---------------

Functions
~~~~~~~~~

.. list-table::
   :class: autosummary longtable
   :align: left

   * - :py:obj:`cross3_2d <RNADiscrepancy.geometry.cross3_2d>`
     - .. autodoc2-docstring:: RNADiscrepancy.geometry.cross3_2d
          :summary:
   * - :py:obj:`RMSD <RNADiscrepancy.geometry.RMSD>`
     - .. autodoc2-docstring:: RNADiscrepancy.geometry.RMSD
          :summary:
   * - :py:obj:`angle_rotation <RNADiscrepancy.geometry.angle_rotation>`
     - .. autodoc2-docstring:: RNADiscrepancy.geometry.angle_rotation
          :summary:
   * - :py:obj:`rotation_align_2D_points <RNADiscrepancy.geometry.rotation_align_2D_points>`
     - .. autodoc2-docstring:: RNADiscrepancy.geometry.rotation_align_2D_points
          :summary:
   * - :py:obj:`best_rotation <RNADiscrepancy.geometry.best_rotation>`
     - .. autodoc2-docstring:: RNADiscrepancy.geometry.best_rotation
          :summary:
   * - :py:obj:`best_mean_centered_rotation <RNADiscrepancy.geometry.best_mean_centered_rotation>`
     - .. autodoc2-docstring:: RNADiscrepancy.geometry.best_mean_centered_rotation
          :summary:
   * - :py:obj:`best_rotation_translation <RNADiscrepancy.geometry.best_rotation_translation>`
     - .. autodoc2-docstring:: RNADiscrepancy.geometry.best_rotation_translation
          :summary:
   * - :py:obj:`triangle_xy_sign <RNADiscrepancy.geometry.triangle_xy_sign>`
     - .. autodoc2-docstring:: RNADiscrepancy.geometry.triangle_xy_sign
          :summary:

API
~~~

.. py:function:: cross3_2d(p1: typing.Sequence[float], p2: typing.Sequence[float], p3: typing.Sequence[float]) -> float
   :canonical: RNADiscrepancy.geometry.cross3_2d

   .. autodoc2-docstring:: RNADiscrepancy.geometry.cross3_2d

.. py:function:: RMSD(A, B) -> float
   :canonical: RNADiscrepancy.geometry.RMSD

   .. autodoc2-docstring:: RNADiscrepancy.geometry.RMSD

.. py:function:: angle_rotation(rotation_matrix) -> float
   :canonical: RNADiscrepancy.geometry.angle_rotation

   .. autodoc2-docstring:: RNADiscrepancy.geometry.angle_rotation

.. py:function:: rotation_align_2D_points(p1: typing.Sequence[float], p2: typing.Sequence[float]) -> numpy.typing.NDArray[[float]]
   :canonical: RNADiscrepancy.geometry.rotation_align_2D_points

   .. autodoc2-docstring:: RNADiscrepancy.geometry.rotation_align_2D_points

.. py:function:: best_rotation(A: numpy.typing.NDArray[[float]], center_A: numpy.typing.NDArray[float], B: numpy.typing.NDArray[[float]], center_B: numpy.typing.NDArray[float]) -> [numpy.typing.NDArray[[float]], numpy.typing.NDArray[float], numpy.typing.NDArray[float], float, float]
   :canonical: RNADiscrepancy.geometry.best_rotation

   .. autodoc2-docstring:: RNADiscrepancy.geometry.best_rotation

.. py:function:: best_mean_centered_rotation(A: numpy.typing.NDArray[[float]], B: numpy.typing.NDArray[[float]]) -> numpy.typing.NDArray[[float]]
   :canonical: RNADiscrepancy.geometry.best_mean_centered_rotation

   .. autodoc2-docstring:: RNADiscrepancy.geometry.best_mean_centered_rotation

.. py:function:: best_rotation_translation(A: numpy.typing.NDArray[[float]], B: numpy.typing.NDArray[[float]]) -> [numpy.typing.NDArray[[float]], numpy.typing.NDArray[[float]], float, float, float]
   :canonical: RNADiscrepancy.geometry.best_rotation_translation

   .. autodoc2-docstring:: RNADiscrepancy.geometry.best_rotation_translation

.. py:function:: triangle_xy_sign(p1: numpy.typing.NDArray[float], p2: numpy.typing.NDArray[float], p3: numpy.typing.NDArray[float]) -> int
   :canonical: RNADiscrepancy.geometry.triangle_xy_sign

   .. autodoc2-docstring:: RNADiscrepancy.geometry.triangle_xy_sign