The goal of this project was to extend SageMath with support for error terms with explicit constants to AsymptoticRing. We called these terms B-terms. Adding support was done in a modular fashion. Every ticket on the Trac-Server of SageMath represents a functional part of this project. These modules contain the initial support and different growth groups supported by AsymptoticRing.
At the end of the project we got a working product which enables SageMath users to do calculations like:
sage: A.<n> = AsymptoticRing('n^QQ', QQ)
sage: n^2 + A.B(n, valid_from=1) + 41
n^2 + B(42*n, n>=1)- Trac #31933: Implemented B-terms as a part of
term_monoid - Trac #32153: Refactored the representation string of
exactandTermWithCoefficientterms for the usage in B-terms - Trac #31933: Monomial growth group is supported
- Trac #32229: Reviewed the fix for the conversion of B-terms, which failed after the inital support
- Trac #32778: Implemented support for B-terms in
Asymptotic Ring
The implementation was harder than expected, because:
- the Trac-Server is not very intuitive to use
- I also found it hard to get used to the formatting of the docstrings and doctests, which made the inital support ticket longer than it should have been
- understanding code that already exists takes time
- quite a few refactors were needed to be able to support B-terms
- Implement logarithms for monomial growth group
- Implement other growth groups:
- exponential growth group
- Implement support for multivariate expansions
- Meta ticket on SageMath Trac-Server: https://trac.sagemath.org/ticket/31922