#18152: Universal Cyclotomic Field implementation using libgap
-------------------------------------+-------------------------------------
       Reporter:  vdelecroix         |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.6
      Component:  number fields      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Vincent Delecroix  |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/vdelecroix/18152                 |  e4a352468cf9c018b9bdf148a3de03793a111b9e
   Dependencies:  #18153             |     Stopgaps:
-------------------------------------+-------------------------------------
Description changed by vdelecroix:

Old description:

> Sage ships an implementation of the Universal Cyclotomic Field (in
> `sage.rings.universal_cyclotomic_field.*`) that is slower and less
> reliable than what is in gap. We propose in this ticket an implementation
> based on libgap.
>
> It fixes some issues about the old implementation:
>  - #14240:  Universal cyclotomic field breaks for moderate order
>  - #16631: Universal Cyclotomic Field doesn't handle int and Integer the
> same
>  - #16130: Matrices over Universal Cyclotomic field failing to
> echelonize/inverse
>  - #17117: !UniversalCyclotomicField elements considered real
>
> Possible follow up:
>  - switch to Cython
>  - implement dense matrices by wrapping libgap matrices

New description:

 Sage ships an implementation of the Universal Cyclotomic Field (in
 `sage.rings.universal_cyclotomic_field.*`) that is slower and less
 reliable than what is in gap. We propose in this ticket an implementation
 based on libgap.

 It fixes some issues about the old implementation:
  - #14240:  Universal cyclotomic field breaks for moderate order
  - #16631: Universal Cyclotomic Field doesn't handle int and Integer the
 same
  - #16130: Matrices over Universal Cyclotomic field failing to
 echelonize/inverse
  - #17117: !UniversalCyclotomicField elements considered real

 And is about 10x faster (see [comment:10 comment:10]).

 Possible follow up:
  - switch to Cython
  - implement dense matrices by wrapping libgap matrices (see also #16116)

--

--
Ticket URL: <http://trac.sagemath.org/ticket/18152#comment:16>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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