# beacon_chain # Copyright (c) 2018 Status Research & Development GmbH # Licensed and distributed under either of # * MIT license (license terms in the root directory or at http://opensource.org/licenses/MIT). # * Apache v2 license (license terms in the root directory or at http://www.apache.org/licenses/LICENSE-2.0). # at your option. This file may not be copied, modified, or distributed except according to those terms. # Uncategorized helper functions from the spec import ./datatypes, ./digest, sequtils, math # https://github.com/ethereum/eth2.0-specs/blob/v0.5.0/specs/core/0_beacon-chain.md#split func split*[T](lst: openArray[T], N: Positive): seq[seq[T]] = ## split lst in N pieces, with each piece having `len(lst) div N` or ## `len(lst) div N + 1` pieces # TODO: implement as an iterator result = newSeq[seq[T]](N) for i in 0 ..< N: result[i] = lst[lst.len * i div N ..< lst.len * (i+1) div N] # TODO: avoid alloc via toOpenArray # https://github.com/ethereum/eth2.0-specs/blob/v0.6.0/specs/core/0_beacon-chain.md#integer_squareroot func integer_squareroot*(n: SomeInteger): SomeInteger = ## The largest integer ``x`` such that ``x**2`` is less than ``n``. doAssert n >= 0'u64 var x = n y = (x + 1) div 2 while y < x: x = y y = (x + n div x) div 2 x # https://github.com/ethereum/eth2.0-specs/blob/v0.5.0/specs/core/0_beacon-chain.md#is_power_of_two func is_power_of_2*(v: uint64): bool = (v > 0'u64) and (v and (v-1)) == 0 # TODO reuse as necessary/useful for merkle proof building func merkle_root*(values: openArray[Eth2Digest]): Eth2Digest = ## Merkleize ``values`` (where ``len(values)`` is a power of two) and return ## the Merkle root. ## https://crypto.stackexchange.com/questions/43430/what-is-the-reason-to-separate-domains-in-the-internal-hash-algorithm-of-a-merkl let num_values = len(values) # Simplifies boundary conditions doAssert is_power_of_two(num_values) doAssert num_values >= 2 doAssert num_values mod 2 == 0 # TODO reverse ``o`` order and use newSeqWith to avoid pointless zero-filling. var o = repeat(ZERO_HASH, len(values)) var hash_buffer: array[2*32, byte] # These ``o`` indices get filled from ``values``. let highest_internally_filled_index = (num_values div 2) - 1 doAssert (highest_internally_filled_index + 1) * 2 >= num_values for i in countdown(num_values-1, highest_internally_filled_index + 1): hash_buffer[0..31] = values[i*2 - num_values].data hash_buffer[32..63] = values[i*2+1 - num_values].data o[i] = eth2hash(hash_buffer) ## These ``o`` indices get filled from other ``o`` indices. doAssert highest_internally_filled_index * 2 + 1 < num_values for i in countdown(highest_internally_filled_index, 1): hash_buffer[0..31] = o[i*2].data hash_buffer[32..63] = o[i*2+1].data o[i] = eth2hash(hash_buffer) o[1] # https://github.com/ethereum/eth2.0-specs/blob/v0.6.0/specs/core/0_beacon-chain.md#slot_to_epoch func slot_to_epoch*(slot: Slot|uint64): Epoch = (slot div SLOTS_PER_EPOCH).Epoch # https://github.com/ethereum/eth2.0-specs/blob/v0.6.0/specs/core/0_beacon-chain.md#get_epoch_start_slot func get_epoch_start_slot*(epoch: Epoch): Slot = # Return the starting slot of the given ``epoch``. (epoch * SLOTS_PER_EPOCH).Slot # https://github.com/ethereum/eth2.0-specs/blob/v0.6.0/specs/core/0_beacon-chain.md#is_double_vote func is_double_vote*(attestation_data_1: AttestationData, attestation_data_2: AttestationData): bool = ## Check if ``attestation_data_1`` and ``attestation_data_2`` have the same ## target. let target_epoch_1 = slot_to_epoch(attestation_data_1.slot) target_epoch_2 = slot_to_epoch(attestation_data_2.slot) target_epoch_1 == target_epoch_2 # https://github.com/ethereum/eth2.0-specs/blob/v0.6.0/specs/core/0_beacon-chain.md#is_surround_vote func is_surround_vote*(attestation_data_1: AttestationData, attestation_data_2: AttestationData): bool = ## Check if ``attestation_data_1`` surrounds ``attestation_data_2``. let source_epoch_1 = attestation_data_1.source_epoch source_epoch_2 = attestation_data_2.source_epoch target_epoch_1 = slot_to_epoch(attestation_data_1.slot) target_epoch_2 = slot_to_epoch(attestation_data_2.slot) source_epoch_1 < source_epoch_2 and target_epoch_2 < target_epoch_1 # https://github.com/ethereum/eth2.0-specs/blob/v0.6.0/specs/core/0_beacon-chain.md#state-list-lengths func is_active_validator*(validator: Validator, epoch: Epoch): bool = ### Check if ``validator`` is active validator.activation_epoch <= epoch and epoch < validator.exit_epoch # https://github.com/ethereum/eth2.0-specs/blob/v0.5.0/specs/core/0_beacon-chain.md#get_active_validator_indices func get_active_validator_indices*(validators: openArray[Validator], epoch: Epoch): seq[ValidatorIndex] = ## Gets indices of active validators from validators for idx, val in validators: if is_active_validator(val, epoch): result.add idx.ValidatorIndex # https://github.com/ethereum/eth2.0-specs/blob/v0.5.1/specs/core/0_beacon-chain.md#get_epoch_committee_count func get_epoch_committee_count*(active_validator_count: int): uint64 = clamp( active_validator_count div SLOTS_PER_EPOCH div TARGET_COMMITTEE_SIZE, 1, SHARD_COUNT div SLOTS_PER_EPOCH).uint64 * SLOTS_PER_EPOCH # https://github.com/ethereum/eth2.0-specs/blob/v0.5.0/specs/core/0_beacon-chain.md#get_current_epoch_committee_count func get_current_epoch_committee_count*(state: BeaconState): uint64 = # Return the number of committees in the current epoch of the given ``state``. let current_active_validators = get_active_validator_indices( state.validator_registry, state.current_shuffling_epoch, ) get_epoch_committee_count(len(current_active_validators)) # https://github.com/ethereum/eth2.0-specs/blob/v0.6.0/specs/core/0_beacon-chain.md#get_current_epoch func get_current_epoch*(state: BeaconState): Epoch = # Return the current epoch of the given ``state``. doAssert state.slot >= GENESIS_SLOT, $state.slot slot_to_epoch(state.slot) # https://github.com/ethereum/eth2.0-specs/blob/v0.6.0/specs/core/0_beacon-chain.md#get_randao_mix func get_randao_mix*(state: BeaconState, epoch: Epoch): Eth2Digest = ## Returns the randao mix at a recent ``epoch``. # Cannot underflow, since GENESIS_EPOCH > LATEST_RANDAO_MIXES_LENGTH doAssert get_current_epoch(state) - LATEST_RANDAO_MIXES_LENGTH < epoch doAssert epoch <= get_current_epoch(state) state.latest_randao_mixes[epoch mod LATEST_RANDAO_MIXES_LENGTH] # https://github.com/ethereum/eth2.0-specs/blob/v0.5.0/specs/core/0_beacon-chain.md#get_active_index_root func get_active_index_root(state: BeaconState, epoch: Epoch): Eth2Digest = # Returns the index root at a recent ``epoch``. ## Cannot underflow, since GENESIS_EPOCH > LATEST_RANDAO_MIXES_LENGTH ## and ACTIVATION_EXIT_DELAY > 0. doAssert GENESIS_EPOCH > LATEST_RANDAO_MIXES_LENGTH doAssert ACTIVATION_EXIT_DELAY > 0 doAssert get_current_epoch(state) - LATEST_ACTIVE_INDEX_ROOTS_LENGTH + ACTIVATION_EXIT_DELAY < epoch doAssert epoch <= get_current_epoch(state) + ACTIVATION_EXIT_DELAY state.latest_active_index_roots[epoch mod LATEST_ACTIVE_INDEX_ROOTS_LENGTH] # https://github.com/ethereum/eth2.0-specs/blob/v0.2.0/specs/core/0_beacon-chain.md#bytes_to_int func bytes_to_int*(data: openarray[byte]): uint64 = doAssert data.len == 8 # Little-endian data representation result = 0 for i in countdown(7, 0): result = result * 256 + data[i] # https://github.com/ethereum/eth2.0-specs/blob/v0.6.0/specs/core/0_beacon-chain.md#int_to_bytes1-int_to_bytes2- # Have 1, 4, 8, and 32-byte versions. 1+ more and maybe worth metaprogramming. func int_to_bytes32*(x: uint64): array[32, byte] = ## Little-endian data representation ## TODO remove uint64 when those callers fade away for i in 0 ..< 8: result[24 + i] = byte((x shr i*8) and 0xff) func int_to_bytes32*(x: Epoch): array[32, byte] {.borrow.} func int_to_bytes8*(x: uint64): array[8, byte] = for i in 0 ..< 8: result[i] = byte((x shr i*8) and 0xff) func int_to_bytes1*(x: int): array[1, byte] = doAssert x >= 0 doAssert x < 256 result[0] = x.byte func int_to_bytes4*(x: uint64): array[4, byte] = doAssert x >= 0'u64 doAssert x < 2'u64^32 # Little-endian data representation result[0] = ((x shr 0) and 0xff).byte result[1] = ((x shr 8) and 0xff).byte result[2] = ((x shr 16) and 0xff).byte result[3] = ((x shr 24) and 0xff).byte # https://github.com/ethereum/eth2.0-specs/blob/v0.6.0/specs/core/0_beacon-chain.md#get_domain func get_domain*( state: BeaconState, domain_type: SignatureDomain, message_epoch: Epoch): uint64 = ## Return the signature domain (fork version concatenated with domain type) ## of a message. var buf: array[8, byte] let epoch = message_epoch fork_version = if epoch < state.fork.epoch: state.fork.previous_version else: state.fork.current_version buf[0..3] = fork_version buf[4..7] = int_to_bytes4(domain_type.uint64) bytes_to_int(buf) func get_domain*(state: BeaconState, domain_type: SignatureDomain): uint64 = get_domain(state, domain_type, get_current_epoch(state)) # https://github.com/ethereum/eth2.0-specs/blob/v0.6.0/specs/core/0_beacon-chain.md#generate_seed func generate_seed*(state: BeaconState, epoch: Epoch): Eth2Digest = # Generate a seed for the given ``epoch``. var seed_input : array[32*3, byte] doAssert GENESIS_EPOCH > MIN_SEED_LOOKAHEAD seed_input[0..31] = get_randao_mix(state, epoch - MIN_SEED_LOOKAHEAD).data seed_input[32..63] = get_active_index_root(state, epoch).data seed_input[64..95] = int_to_bytes32(epoch) eth2hash(seed_input)