arctans.reduction¶

Functions for reducing arctans.

Functions¶

`_convert_rational_single_arctan`(...)	Convert a rational arccotangent into a sum of integral arccotangents.
`convert_rational`(→ arctans.arctans.AbstractTerm)	Convert a rational arccotangent into a sum of integral arccotangents.
`_reduce_single_arctan`(→ arctans.arctans.AbstractTerm)	Express an arctan as a sum of irreducible integral arccotangents.
`reduce`(→ arctans.arctans.AbstractTerm)	Express an arctan as a sum of irreducible integral arccotangents.

Module Contents¶

arctans.reduction._convert_rational_single_arctan(a: arctans.arctans.Arctan) → arctans.arctans.AbstractTerm¶

Convert a rational arccotangent into a sum of integral arccotangents.

Parameters:: a – An arctan
Returns:: A sum of integral arccotangents

arctans.reduction.convert_rational(a: arctans.arctans.AbstractTerm) → arctans.arctans.AbstractTerm¶

Convert a rational arccotangent into a sum of integral arccotangents.

Parameters:: a – An arctan or sum of arctans
Returns:: A sum of integral arccotangents

arctans.reduction._reduce_single_arctan(a: arctans.arctans.Arctan) → arctans.arctans.AbstractTerm¶

Express an arctan as a sum of irreducible integral arccotangents.

Parameters:: a – An arctan
Returns:: A sum of irreducible integral arccotangents

arctans.reduction.reduce(a: arctans.arctans.AbstractTerm) → arctans.arctans.AbstractTerm¶

Express an arctan as a sum of irreducible integral arccotangents.

Parameters:: a – An arctan or sum of arctans
Returns:: A sum of irreducible integral arccotangents