Automatically add topologically-valid subsets of the potential set pot
to inc. It can be proven that these must be part of the best reachable
topologically-valid set from that work item.
This is a crucial optimization that (apparently) reduces the maximum
number of iterations from ~2^(N-1) to ~sqrt(2^N).
Co-Authored-By: Suhas Daftuar <sdaftuar@gmail.com>
In each work item, keep track of a conservative overestimate of the best
possible feerate that can be reached from it, and then use these to avoid
exploring hopeless work items.
Before this commit, the worst case for linearization involves clusters which
break apart in several smaller components after the first candidate is
included in the output linearization.
Address this by never considering work items that span multiple components
of what remains of the cluster.
It encapsulates a given linearization in chunked form, permitting arbitrary
subsets of transactions to be removed from the linearization. Its purpose
is adding the Intersect function, which is a crucial operation that will
be used in a further commit to make Linearize improve existing linearizations.
This adds a first version of the overall linearization interface, which given
a DepGraph constructs a good linearization, by incrementally including good
candidate sets (found using AncestorCandidateFinder and SearchCandidateFinder).
This introduces a bespoke fuzzing-focused serialization format for DepGraphs,
and then tests that this format can represent any graph, roundtrips, and then
uses that to test the correctness of DepGraph itself.
This forms the basis for future fuzz tests that need to work with interesting
graphs.
