DList for Python (triordinal-dlist)
The list shared by Triordinal's DTree and DGraph: a doubly linked list of names with rational positions, so that "does a come before b?" is a single comparison, O(1).
pip install triordinal-dlist
from triordinal.dlist import DList
q = DList("Q")
q.insert_after("a", "[") # "[" is the start marker (SOURCE)
q.insert_after("b", "a")
q.precedes("a", "b") # True
A new element gets the mediant (a+c)/(b+d) of its neighbors a/b and c/d, so normally no other element moves. Only when a denominator would exceed 64 bits is the smallest surrounding region with enough room renumbered; larger regions must be sparser before they are accepted (as in Bender et al., ESA 2002). Rational positions were Enis Olgac's idea.
A list may also hold unnamed cells, which have a position but no name; iteration, next/prev and all lookups by name pass over them. DTree uses them as the closing cells that mark the end of each subtree.
Most users install triordinal-dtree (or later triordinal-dgraph), which pulls this package in. MIT License.
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Release files for triordinal-dlist 2.1.0
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