Prior to this commit, MerkleStore allowed the creation of Sparse Merkle
tree only with the maximum depth of 63. However, this doesn't fit the
Tiered Sparse Merkle tree requirements, as it will contain trees of
depth 16.
This commit adds the `depth` argument to the MerkleStore methods that
will create Sparse Merkle trees.
Prior to this commit, there was an internal procedure with the merkle
trees to compute empty sub-tree for arbitrary depths.
However, this isn't ideal as this code can be reused in any merkle
implementation that uses RPO as backend.
This commit introduces a structure that will generate these empty
subtrees values.
A Merkle path is a vector of nodes, regardless of the Merkle tree
implementation.
This commit introduces an encapsulation for such vector, also to provide
functionality that is common between different algorithms such as
opening verification.
related issue: #36
This commit moves the previous implementation of `SparseMerkleTree` from
miden-core to this crate.
It also include a couple of new tests, a bench suite, and a couple of
minor fixes. The original API was preserved to maintain compatibility
with `AdviceTape`.
closes#21
