#13605: Partition options and cleanup partitions documentation
------------------------------------------------------+---------------------
       Reporter:  tscrim                              |         Owner:  
sage-combinat
           Type:  enhancement                         |        Status:  
needs_review 
       Priority:  major                               |     Milestone:  
sage-5.7     
      Component:  combinatorics                       |    Resolution:          
     
       Keywords:  partition, options, output, days45  |   Work issues:          
     
Report Upstream:  N/A                                 |     Reviewers:  Andew 
Mathas 
        Authors:  Travis Scrimshaw                    |     Merged in:          
     
   Dependencies:  #14065 #13688                       |      Stopgaps:          
     
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Changes (by tscrim):

  * dependencies:  #13074 #13762 #13840 #14065 => #14065 #13688


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*` (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`.

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`.

 ----

 Apply [attachment: trac_13605-partition_options-ts.patch]

--

Comment:

 I've folded the review patch and should have fixed up everything. Nicolas
 is willing do the final look-over of the patch. After that, this should be
 done. Thank you both for your work on getting this reviewed.

 The dependency on #13688 is for cardinality tests in partitions.

 For patchbot:

 Apply: trac_13605-partition_options-ts.patch

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13605#comment:38>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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