arctans.reduction
=================

.. py:module:: arctans.reduction

.. autoapi-nested-parse::

   Functions for reducing arctans.



Functions
---------

.. autoapisummary::

   arctans.reduction._convert_rational_single_arctan
   arctans.reduction.convert_rational
   arctans.reduction._reduce_single_arctan
   arctans.reduction.reduce


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

.. py:function:: _convert_rational_single_arctan(a: arctans.arctans.Arctan) -> arctans.arctans.AbstractTerm

   Convert a rational arccotangent into a sum of integral arccotangents.

   :param a: An arctan

   :returns: A sum of integral arccotangents


.. py:function:: convert_rational(a: arctans.arctans.AbstractTerm) -> arctans.arctans.AbstractTerm

   Convert a rational arccotangent into a sum of integral arccotangents.

   :param a: An arctan or sum of arctans

   :returns: A sum of integral arccotangents


.. py:function:: _reduce_single_arctan(a: arctans.arctans.Arctan) -> arctans.arctans.AbstractTerm

   Express an arctan as a sum of irreducible integral arccotangents.

   :param a: An arctan

   :returns: A sum of irreducible integral arccotangents


.. py:function:: reduce(a: arctans.arctans.AbstractTerm) -> arctans.arctans.AbstractTerm

   Express an arctan as a sum of irreducible integral arccotangents.

   :param a: An arctan or sum of arctans

   :returns: A sum of irreducible integral arccotangents