Minor fixes
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@ -343,7 +343,7 @@ If building phase 1:
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build_phase1_spec(*args.files)
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else:
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print(
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" Phase 1 requires input files as well as an output file:\n"
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" Phase 1 requires input files as well as an output file:\n"
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"\t core/phase_0: (0_beacon-chain.md, 0_fork-choice.md)\n"
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"\t core/phase_1: (1_custody-game.md, 1_shard-data-chains.md)\n"
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"\t light_client: (merkle_proofs.md)\n"
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@ -8,7 +8,7 @@
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- [Merkle proof formats](#merkle-proof-formats)
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- [Table of contents](#table-of-contents)
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- [Custom types](#custom-types)
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- [Helpers](#helpers)
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- [Helper functions](#helper-functions)
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- [Generalized Merkle tree index](#generalized-merkle-tree-index)
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- [SSZ object to index](#ssz-object-to-index)
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- [Helpers for generalized indices](#helpers-for-generalized-indices)
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@ -30,7 +30,7 @@ We define the following Python custom types for type hinting and readability:
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| - | - | - |
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| `GeneralizedIndex` | `uint64` | the index of a node in a binary Merkle tree |
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## Helpers
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## Helper functions
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```python
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def get_next_power_of_two(x: int) -> int:
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@ -67,7 +67,7 @@ In a binary Merkle tree, we define a "generalized index" of a node as `2**depth
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Note that the generalized index has the convenient property that the two children of node `k` are `2k` and `2k+1`, and also that it equals the position of a node in the linear representation of the Merkle tree that's computed by this function:
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```python
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def merkle_tree(leaves: List[Bytes32]) -> List[Bytes32]:
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def merkle_tree(leaves: Squence[Hash]) -> Squence[Hash]:
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padded_length = get_next_power_of_two(len(leaves))
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o = [Hash()] * padded_length + leaves + [Hash()] * (padded_length - len(leaves))
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for i in range(len(leaves) - 1, 0, -1):
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