Enumerated set of lists of integers with constraints: front-end¶
- IntegerLists: class which models an enumerated set of lists of integers with certain constraints. This is a Python front-end where all user-accessible functionality should be implemented.
- class sage.combinat.integer_lists.lists.IntegerList[source]¶
- Bases: - ClonableArray- Element class for - IntegerLists.- check()[source]¶
- Check to make sure this is a valid element in its - IntegerListsparent.- EXAMPLES: - sage: C = IntegerListsLex(4) sage: C([4]).check() True sage: C([5]).check() False - >>> from sage.all import * >>> C = IntegerListsLex(Integer(4)) >>> C([Integer(4)]).check() True >>> C([Integer(5)]).check() False 
 
- class sage.combinat.integer_lists.lists.IntegerLists(*args, **kwds)[source]¶
- Bases: - Parent- Enumerated set of lists of integers with constraints. - Currently, this is simply an abstract base class which should not be used by itself. See - IntegerListsLexfor a class which can be used by end users.- IntegerListsis just a Python front-end, acting as a- Parent, supporting element classes and so on. The attribute- .backendwhich is an instance of- sage.combinat.integer_lists.base.IntegerListsBackendis the Cython back-end which implements all operations such as iteration.- The front-end (i.e. this class) and the back-end are supposed to be orthogonal: there is no imposed correspondence between front-ends and back-ends. - For example, the set of partitions of 5 and the set of weakly decreasing sequences which sum to 5 might be implemented by the same back-end, but they will be presented to the user by a different front-end. - EXAMPLES: - sage: from sage.combinat.integer_lists import IntegerLists sage: L = IntegerLists(5) sage: L Integer lists of sum 5 satisfying certain constraints sage: IntegerListsLex(2, length=3, name="A given name") A given name - >>> from sage.all import * >>> from sage.combinat.integer_lists import IntegerLists >>> L = IntegerLists(Integer(5)) >>> L Integer lists of sum 5 satisfying certain constraints >>> IntegerListsLex(Integer(2), length=Integer(3), name="A given name") A given name - Element[source]¶
- alias of - IntegerList
 - backend = None¶
 - backend_class[source]¶
- alias of - IntegerListsBackend