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Bug in order_ideal_complement_generators: 'down' #12848

@nthiery

Description

@nthiery

The down option is broken in order_ideal_complement_generators due to
a glitch:

    sage: P = Poset( ( [1,2,3], [ [1,3], [2,3] ] ) )
    sage: sage: P.order_ideal_complement_generators([1,2], direction='up')
    set([3])
    sage: P.order_ideal_complement_generators([1,2], direction='down')
    set([3])

The result should be [] in the later case.

Upcoming patch on the Sage-Combinat queue

Apply:

attachment: trac_12848-posets-order_ideal_complement_generators_fix-nt-v2.patch
attachment: trac_12848-posets-modifications.patch

CC: @sagetrac-sage-combinat

Component: combinatorics

Keywords: posets, days49

Author: Nicolas M. Thiéry, Frédéric Chapoton

Reviewer: Darij Grinberg, Anne Schilling

Merged: sage-5.11.beta3

Issue created by migration from https://trac.sagemath.org/ticket/12848

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