diff --git a/orchard_merkle_tree.py b/orchard_merkle_tree.py index 3425b61..e419a19 100644 --- a/orchard_merkle_tree.py +++ b/orchard_merkle_tree.py @@ -1,12 +1,17 @@ #!/usr/bin/env python3 import sys; assert sys.version_info[0] >= 3, "Python 3 required." +import math; from binascii import unhexlify +from orchard_key_components import diversify_hash, prf_expand, FullViewingKey, SpendingKey +from orchard_note import OrchardNote, OrchardNotePlaintext from orchard_pallas import Fp from orchard_sinsemilla import sinsemilla_hash from utils import i2lebsp, leos2bsp +from tv_output import render_args, render_tv +from tv_rand import Rand # https://zips.z.cash/protocol/nu5.pdf#constants MERKLE_DEPTH = 32 @@ -21,6 +26,42 @@ def merkle_crh(layer, left, right): l = i2lebsp(10, MERKLE_DEPTH - 1 - layer) return sinsemilla_hash(b"z.cash:Orchard-MerkleCRH", l + left + right) +def empty_roots(): + empty_roots = [UNCOMMITTED_ORCHARD] + for layer in range(0, MERKLE_DEPTH)[::-1]: + bits = i2lebsp(L_MERKLE, empty_roots[-1].s) + empty_roots.append(merkle_crh(layer, bits, bits)) + return empty_roots + +EMPTY_ROOTS = empty_roots() + +def anchor(leaves): + leaves0 = leaves.copy() + # pad with empty leaves to form a perfect tree + perfect_height = math.ceil(math.log2(len(leaves0))) + perfect_leaves = 1 << perfect_height + padding_len = perfect_leaves - len(leaves0) + + for _ in range(0, padding_len): + leaves0.append(UNCOMMITTED_ORCHARD) + + hashes = [leaves0] + for altitude in range(0, perfect_height): + layer = MERKLE_DEPTH - 1 - altitude + hashes.append([]) + for pos in range(0, perfect_leaves >> (altitude + 1)): + left = hashes[altitude][pos * 2] + right = hashes[altitude][pos * 2 + 1] + hashes[altitude + 1].append(merkle_crh(layer, left.bits(L_MERKLE), right.bits(L_MERKLE))) + + assert len(hashes[perfect_height]) == 1 + root = hashes[perfect_height][0] + for altitude in range(perfect_height, MERKLE_DEPTH): + layer = MERKLE_DEPTH - 1 - altitude + root = merkle_crh(layer, root.bits(L_MERKLE), EMPTY_ROOTS[altitude].bits(L_MERKLE)) + + return root + left = unhexlify("87a086ae7d2252d58729b30263fb7b66308bf94ef59a76c9c86e7ea016536505")[::-1] right = unhexlify("a75b84a125b2353da7e8d96ee2a15efe4de23df9601b9d9564ba59de57130406")[::-1] @@ -32,9 +73,253 @@ def merkle_crh(layer, left, right): assert merkle_crh(MERKLE_DEPTH - 1 - 25, left, right) == parent assert merkle_crh(MERKLE_DEPTH - 1 - 26, left, right) != parent -def empty_roots(): - empty_roots = [UNCOMMITTED_ORCHARD] - for layer in range(0, MERKLE_DEPTH)[::-1]: - bits = i2lebsp(L_MERKLE, empty_roots[-1].s) - empty_roots.append(merkle_crh(layer, bits, bits)) - return empty_roots +def main(): + args = render_args() + + bundle_commitments = [ + [ + [ 0x68, 0x13, 0x5c, 0xf4, 0x99, 0x33, 0x22, 0x90, 0x99, 0xa4, 0x4e, + 0xc9, 0x9a, 0x75, 0xe1, 0xe1, 0xcb, 0x46, 0x40, 0xf9, 0xb5, + 0xbd, 0xec, 0x6b, 0x32, 0x23, 0x85, 0x6f, 0xea, 0x16, 0x39, + 0x0a ], + [ 0x78, 0x31, 0x50, 0x08, 0xfb, 0x29, 0x98, 0xb4, 0x30, 0xa5, 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0x6b, 0x46, 0x7f, + 0x1c ] + ] + ] + + merkle_leaves = [] + test_vectors = [] + for note_commitments in bundle_commitments: + for c in note_commitments: + cmx = Fp.from_bytes(bytes(c)) + merkle_leaves.append(cmx) + + a = anchor(merkle_leaves) + test_vectors.append({ + 'anchor': bytes(a) + }) + + render_tv( + args, + 'orchard_merkle_tree', + ( + ('anchor', '[u8; 32]'), + ), + test_vectors, + ) + + +if __name__ == '__main__': + main()