eth2.0-specs/test_libs/pyspec/eth2spec/utils/merkle_minimal.py

64 lines
1.7 KiB
Python

from .hash_function import hash
ZERO_BYTES32 = b'\x00' * 32
zerohashes = [ZERO_BYTES32]
for layer in range(1, 32):
zerohashes.append(hash(zerohashes[layer - 1] + zerohashes[layer - 1]))
# Compute a Merkle root of a right-zerobyte-padded 2**32 sized tree
def calc_merkle_tree_from_leaves(values):
values = list(values)
tree = [values[::]]
for h in range(32):
if len(values) % 2 == 1:
values.append(zerohashes[h])
values = [hash(values[i] + values[i + 1]) for i in range(0, len(values), 2)]
tree.append(values[::])
return tree
def get_merkle_root(values):
return calc_merkle_tree_from_leaves(values)[-1][0]
def get_merkle_proof(tree, item_index):
proof = []
for i in range(32):
subindex = (item_index // 2**i) ^ 1
proof.append(tree[i][subindex] if subindex < len(tree[i]) else zerohashes[i])
return proof
def next_power_of_two(v: int) -> int:
"""
Get the next power of 2. (for 64 bit range ints).
0 is a special case, to have non-empty defaults.
Examples:
0 -> 1, 1 -> 1, 2 -> 2, 3 -> 4, 32 -> 32, 33 -> 64
"""
if v == 0:
return 1
# effectively fill the bitstring (1 less, do not want to with ones, then increment for next power of 2.
v -= 1
v |= v >> (1 << 0)
v |= v >> (1 << 1)
v |= v >> (1 << 2)
v |= v >> (1 << 3)
v |= v >> (1 << 4)
v |= v >> (1 << 5)
v += 1
return v
def merkleize_chunks(chunks):
tree = chunks[::]
margin = next_power_of_two(len(chunks)) - len(chunks)
tree.extend([ZERO_BYTES32] * margin)
tree = [ZERO_BYTES32] * len(tree) + tree
for i in range(len(tree) // 2 - 1, 0, -1):
tree[i] = hash(tree[i * 2] + tree[i * 2 + 1])
return tree[1]