Separated block roots and randao mixes length, and fixed per-slot randao updates
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@ -166,6 +166,7 @@ Unless otherwise indicated, code appearing in `this style` is to be interpreted
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| `BLS_WITHDRAWAL_PREFIX_BYTE` | `0x00` | - |
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| `MAX_CASPER_VOTES` | `2**10` (= 1,024) | votes |
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| `LATEST_BLOCK_ROOTS_LENGTH` | `2**13` (= 8,192) | block roots |
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| `LATEST_RANDAO_MIXES_LENGTH` | `2**13` (= 8,192) | block roots |
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| `EMPTY_SIGNATURE` | `[bytes48(0), bytes48(0)]` | - |
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* For the safety of crosslinks a minimum committee size of 111 is [recommended](https://vitalik.ca/files/Ithaca201807_Sharding.pdf). (Unbiasable randomness with a Verifiable Delay Function (VDF) will improve committee robustness and lower the safe minimum committee size.) The shuffling algorithm generally ensures (assuming sufficient validators) committee sizes at least `TARGET_COMMITTEE_SIZE // 2`.
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@ -1153,7 +1154,7 @@ def get_initial_beacon_state(initial_validator_deposits: List[Deposit],
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validator_registry_delta_chain_tip=ZERO_HASH,
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# Randomness and committees
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latest_randao_mixes=[ZERO_HASH for _ in range(LATEST_BLOCK_ROOTS_LENGTH)],
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latest_randao_mixes=[ZERO_HASH for _ in range(LATEST_RANDAO_MIXES_LENGTH)],
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shard_committees_at_slots=[],
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persistent_committees=[],
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persistent_committee_reassignments=[],
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@ -1387,11 +1388,12 @@ Below are the processing steps that happen at every slot.
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* Set `state.slot += 1`.
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* Set `state.validator_registry[get_beacon_proposer_index(state, state.slot)].randao_layers += 1`.
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* Set `state.latest_randao_mixes = state.latest_randao_mixes[(block.slot - 1) % LATEST_RANDAO_MIXES_LENGTH]`
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### Block roots
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* Let `previous_block_root` be the `hash_tree_root` of the previous beacon block processed in the chain.
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* Set `state.latest_block_roots = state.latest_block_roots[1:] + [previous_block_root]`.
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* Set `state.latest_block_roots[(block.slot - 1) % LATEST_BLOCK_ROOTS_LENGTH] = previous_block_root`.
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* If `state.slot % LATEST_BLOCK_ROOTS_LENGTH == 0` append `merkle_root(state.latest_block_roots)` to `state.batched_block_roots`.
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## Per-block processing
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@ -1413,7 +1415,7 @@ Below are the processing steps that happen at every `block`.
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* Let `repeat_hash(x, n) = x if n == 0 else repeat_hash(hash(x), n-1)`.
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* Let `proposer = state.validator_registry[get_beacon_proposer_index(state, state.slot)]`.
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* Verify that `repeat_hash(block.randao_reveal, proposer.randao_layers) == proposer.randao_commitment`.
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* Set `state.latest_randao_mixes[block.slot % LATEST_BLOCK_ROOTS_LENGTH] = xor(state.latest_randao_mixes[(block.slot - 1) % LATEST_BLOCK_ROOTS_LENGTH], block.randao_reveal)`
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* Set `state.latest_randao_mixes[block.slot % LATEST_RANDAO_MIXES_LENGTH] = xor(state.latest_randao_mixes[block.slot % LATEST_RANDAO_MIXES_LENGTH], block.randao_reveal)`
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* Set `proposer.randao_commitment = block.randao_reveal`.
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* Set `proposer.randao_layers = 0`.
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@ -1747,14 +1749,14 @@ Also perform the following updates:
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* Set `state.validator_registry_latest_change_slot = state.slot`.
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* Set `state.shard_committees_at_slots[:EPOCH_LENGTH] = state.shard_committees_at_slots[EPOCH_LENGTH:]`.
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* Set `state.shard_committees_at_slots[EPOCH_LENGTH:] = get_new_shuffling(state.latest_randao_mixes[(state.slot - CYCLE_LENGTH) % LATEST_BLOCK_ROOTS_LENGTH], state.validator_registry, next_start_shard)` where `next_start_shard = (state.shard_committees_at_slots[-1][-1].shard + 1) % SHARD_COUNT`.
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* Set `state.shard_committees_at_slots[EPOCH_LENGTH:] = get_new_shuffling(state.latest_randao_mixes[(state.slot - EPOCH_LENGTH) % LATEST_RANDAO_MIXES_LENGTH], state.validator_registry, next_start_shard)` where `next_start_shard = (state.shard_committees_at_slots[-1][-1].shard + 1) % SHARD_COUNT`.
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If a validator registry update does _not_ happen do the following:
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* Set `state.shard_committees_at_slots[:EPOCH_LENGTH] = state.shard_committees_at_slots[EPOCH_LENGTH:]`.
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* Let `slots_since_finality = state.slot - state.validator_registry_latest_change_slot`.
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* Let `start_shard = state.shard_committees_at_slots[0][0].shard`.
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* If `slots_since_finality * EPOCH_LENGTH <= MIN_VALIDATOR_REGISTRY_CHANGE_INTERVAL` or `slots_since_finality` is an exact power of 2, set `state.shard_committees_at_slots[EPOCH_LENGTH:] = get_new_shuffling(state.latest_randao_mixes[(state.slot - CYCLE_LENGTH) % LATEST_BLOCK_ROOTS_LENGTH], state.validator_registry, start_shard)`. Note that `start_shard` is not changed from the last epoch.
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* If `slots_since_finality * EPOCH_LENGTH <= MIN_VALIDATOR_REGISTRY_CHANGE_INTERVAL` or `slots_since_finality` is an exact power of 2, set `state.shard_committees_at_slots[EPOCH_LENGTH:] = get_new_shuffling(state.latest_randao_mixes[(state.slot - CYCLE_LENGTH) % LATEST_RANDAO_MIXES_LENGTH], state.validator_registry, start_shard)`. Note that `start_shard` is not changed from the last epoch.
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### Proposer reshuffling
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@ -1766,8 +1768,8 @@ num_validators_to_reshuffle = len(active_validator_indices) // SHARD_PERSISTENT_
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for i in range(num_validators_to_reshuffle):
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# Multiplying i to 2 to ensure we have different input to all the required hashes in the shuffling
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# and none of the hashes used for entropy in this loop will be the same
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validator_index = active_validator_indices[hash(state.latest_randao_mixes[state.slot % LATEST_BLOCK_ROOTS_LENGTH] + bytes8(i * 2)) % len(active_validator_indices)]
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new_shard = hash(state.latest_randao_mixes[state.slot % LATEST_BLOCK_ROOTS_LENGTH] + bytes8(i * 2 + 1)) % SHARD_COUNT
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validator_index = active_validator_indices[hash(state.latest_randao_mixes[state.slot % LATEST_RANDAO_MIXES_LENGTH] + bytes8(i * 2)) % len(active_validator_indices)]
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new_shard = hash(state.latest_randao_mixes[state.slot % LATEST_RANDAO_MIXES_LENGTH] + bytes8(i * 2 + 1)) % SHARD_COUNT
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shard_reassignment_record = ShardReassignmentRecord(
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validator_index=validator_index,
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shard=new_shard,
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