#13605: Partition options and cleanup partitions documentation
-----------------------------------------------+----------------------------
       Reporter:  tscrim                       |         Owner:  sage-combinat
           Type:  enhancement                  |        Status:  needs_review 
       Priority:  major                        |     Milestone:  sage-5.5     
      Component:  combinatorics                |    Resolution:               
       Keywords:  partition, options, output   |   Work issues:               
Report Upstream:  N/A                          |     Reviewers:  Andew Mathas 
        Authors:  Travis Scrimshaw             |     Merged in:               
   Dependencies:  #13074 #13762 #13840 #10193  |      Stopgaps:               
-----------------------------------------------+----------------------------
Changes (by tscrim):

  * status:  new => needs_review
  * dependencies:  #13074 #13762 #13840 => #13074 #13762 #13840 #10193


Old description:

> Adding a `Partitions.options()` method which sets (globally) options for
> partitions as noted in #5439 -
> http://wiki.sagemath.org/combinat/Weirdness similar to
> `PermutationOptions()`. This will also affect tableau classes and
> friends. Additionally this will also clean up some of the
> documentation/code in the respective files.
>
> -----
>
> Here's what is included in the patch:
>
> - Added partition and tableau options
> - Converted `Partition_class` to `Partition`
> - Converted `Partitions` into the category framework
> - Converted `IntegerListsLex` into the category framework
> - Renamed *katabolism to *catabolism
> - Moved construction functions for partitions `from_*` to
> `Partitions().from_*`.
> - Renamed `dominate()` to `dominated_partitions()` in `Partition`.

New description:

 Adding a `Partitions.options()` method which sets (globally) options for
 partitions as noted in #5439 - http://wiki.sagemath.org/combinat/Weirdness
 similar to `PermutationOptions()`. This will also affect tableau classes
 and friends. Additionally this will also clean up some of the
 documentation/code in the respective files.

 -----

 Here's what is included in the patch:

 - Added partition and tableau options
 - Converted `Partition_class` to `Partition`
 - Converted `Partitions*` (except `PartitionsRestricted`) into the
 category framework
 - Converted `IntegerListsLex` into the category framework with element
 class of `ClonableArray`
 - Renamed *katabolism to *catabolism
 - Moved construction functions for partitions `from_*` to
 `Partitions().from_*`.
 - Renamed `dominate()` to `dominated_partitions()` in `Partition`.
 - Added order argument for overriding the comparisons for partitions
 -

--

Comment:

 For the record, the large size of this patch is due to changes in doctests
 in symmetric functions because the terms were reorderd.

 If #10193 is not finished soon, I can commute this patch past.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13605#comment:11>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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