# beacon_chain # Copyright (c) 2018-2021 Status Research & Development GmbH # Licensed and distributed under either of # * MIT license (license terms in the root directory or at https://opensource.org/licenses/MIT). # * Apache v2 license (license terms in the root directory or at https://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 {.push raises: [Defect].} import # Standard lib std/[math, tables], # Third-party stew/[byteutils, endians2, bitops2], # Internal ./datatypes/[phase0, altair, merge], ./eth2_merkleization, ./ssz_codec # TODO although eth2_merkleization already exports ssz_codec, *sometimes* code # fails to compile if the export is not done here also export phase0, altair, eth2_merkleization, ssz_codec # https://github.com/ethereum/consensus-specs/blob/v1.0.1/specs/phase0/beacon-chain.md#integer_squareroot func integer_squareroot*(n: SomeInteger): SomeInteger = ## Return the largest integer ``x`` such that ``x**2 <= 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/consensus-specs/blob/v1.0.1/specs/phase0/beacon-chain.md#compute_epoch_at_slot func compute_epoch_at_slot*(slot: Slot|uint64): Epoch = ## Return the epoch number at ``slot``. (slot div SLOTS_PER_EPOCH).Epoch template epoch*(slot: Slot): Epoch = compute_epoch_at_slot(slot) template isEpoch*(slot: Slot): bool = (slot mod SLOTS_PER_EPOCH) == 0 # https://github.com/ethereum/consensus-specs/blob/v1.0.1/specs/phase0/beacon-chain.md#is_valid_merkle_branch func is_valid_merkle_branch*(leaf: Eth2Digest, branch: openArray[Eth2Digest], depth: int, index: uint64, root: Eth2Digest): bool = ## Check if ``leaf`` at ``index`` verifies against the Merkle ``root`` and ## ``branch``. var value = leaf buf: array[64, byte] for i in 0 ..< depth: if (index div (1'u64 shl i)) mod 2 != 0: buf[0..31] = branch[i].data buf[32..63] = value.data else: buf[0..31] = value.data buf[32..63] = branch[i].data value = eth2digest(buf) value == root const SLOTS_PER_SYNC_COMMITTEE_PERIOD* = EPOCHS_PER_SYNC_COMMITTEE_PERIOD * SLOTS_PER_EPOCH template syncCommitteePeriod*(epoch: Epoch): uint64 = epoch div EPOCHS_PER_SYNC_COMMITTEE_PERIOD template syncCommitteePeriod*(slot: Slot): uint64 = epoch(slot) div EPOCHS_PER_SYNC_COMMITTEE_PERIOD func syncCommitteePeriodStartSlot*(period: uint64): Slot = Slot(period * EPOCHS_PER_SYNC_COMMITTEE_PERIOD * SLOTS_PER_EPOCH) # https://github.com/ethereum/consensus-specs/blob/v1.0.1/specs/phase0/beacon-chain.md#compute_start_slot_at_epoch func compute_start_slot_at_epoch*(epoch: Epoch): Slot = ## Return the start slot of ``epoch``. (epoch * SLOTS_PER_EPOCH).Slot # https://github.com/ethereum/consensus-specs/blob/v1.0.1/specs/phase0/beacon-chain.md#is_active_validator 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/consensus-specs/blob/v1.0.1/specs/phase0/beacon-chain.md#get_active_validator_indices iterator get_active_validator_indices*(state: SomeBeaconState, epoch: Epoch): ValidatorIndex = for idx in 0..= GENESIS_SLOT, $state.slot compute_epoch_at_slot(state.slot) # https://github.com/ethereum/consensus-specs/blob/v1.0.1/specs/phase0/beacon-chain.md#get_randao_mix func get_randao_mix*(state: SomeBeaconState, epoch: Epoch): Eth2Digest = ## Returns the randao mix at a recent ``epoch``. state.randao_mixes[epoch mod EPOCHS_PER_HISTORICAL_VECTOR] func bytes_to_uint64*(data: openArray[byte]): uint64 = doAssert data.len == 8 # Little-endian data representation uint64.fromBytesLE(data) # Have 1, 4, and 8-byte versions. Spec only defines 8-byte version, but useful # to check invariants on rest. func uint_to_bytes8*(x: uint64): array[8, byte] = x.toBytesLE() func uint_to_bytes4*(x: uint64): array[4, byte] = 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/consensus-specs/blob/v1.0.1/specs/phase0/beacon-chain.md#compute_fork_data_root func compute_fork_data_root(current_version: Version, genesis_validators_root: Eth2Digest): Eth2Digest = ## Return the 32-byte fork data root for the ``current_version`` and ## ``genesis_validators_root``. ## This is used primarily in signature domains to avoid collisions across ## forks/chains. hash_tree_root(ForkData( current_version: current_version, genesis_validators_root: genesis_validators_root )) # https://github.com/ethereum/consensus-specs/blob/v1.0.1/specs/phase0/beacon-chain.md#compute_fork_digest func compute_fork_digest*(current_version: Version, genesis_validators_root: Eth2Digest): ForkDigest = ## Return the 4-byte fork digest for the ``current_version`` and ## ``genesis_validators_root``. ## This is a digest primarily used for domain separation on the p2p layer. ## 4-bytes suffices for practical separation of forks/chains. array[4, byte](result)[0..3] = compute_fork_data_root( current_version, genesis_validators_root).data.toOpenArray(0, 3) # https://github.com/ethereum/consensus-specs/blob/v1.0.1/specs/phase0/beacon-chain.md#compute_domain func compute_domain*( domain_type: DomainType, fork_version: Version, genesis_validators_root: Eth2Digest = ZERO_HASH): Eth2Domain = ## Return the domain for the ``domain_type`` and ``fork_version``. let fork_data_root = compute_fork_data_root(fork_version, genesis_validators_root) result[0..3] = uint_to_bytes4(domain_type.uint64) result[4..31] = fork_data_root.data.toOpenArray(0, 27) # https://github.com/ethereum/consensus-specs/blob/v1.0.1/specs/phase0/beacon-chain.md#get_domain func get_domain*( fork: Fork, domain_type: DomainType, epoch: Epoch, genesis_validators_root: Eth2Digest): Eth2Domain = ## Return the signature domain (fork version concatenated with domain type) ## of a message. let fork_version = if epoch < fork.epoch: fork.previous_version else: fork.current_version compute_domain(domain_type, fork_version, genesis_validators_root) func get_domain*( state: SomeBeaconState, domain_type: DomainType, epoch: Epoch): Eth2Domain = ## Return the signature domain (fork version concatenated with domain type) ## of a message. get_domain(state.fork, domain_type, epoch, state.genesis_validators_root) # https://github.com/ethereum/consensus-specs/blob/v1.0.1/specs/phase0/beacon-chain.md#compute_signing_root func compute_signing_root*(ssz_object: auto, domain: Eth2Domain): Eth2Digest = ## Return the signing root of an object by calculating the root of the ## object-domain tree. let domain_wrapped_object = SigningData( object_root: hash_tree_root(ssz_object), domain: domain ) hash_tree_root(domain_wrapped_object) # https://github.com/ethereum/consensus-specs/blob/v1.0.1/specs/phase0/beacon-chain.md#get_seed func get_seed*(state: SomeBeaconState, epoch: Epoch, domain_type: DomainType): Eth2Digest = ## Return the seed at ``epoch``. var seed_input : array[4+8+32, byte] # Detect potential underflow static: doAssert EPOCHS_PER_HISTORICAL_VECTOR > MIN_SEED_LOOKAHEAD seed_input[0..3] = uint_to_bytes4(domain_type.uint64) seed_input[4..11] = uint_to_bytes8(epoch.uint64) seed_input[12..43] = get_randao_mix(state, # Avoid underflow epoch + EPOCHS_PER_HISTORICAL_VECTOR - MIN_SEED_LOOKAHEAD - 1).data eth2digest(seed_input) # https://github.com/ethereum/consensus-specs/blob/v1.1.0-beta.4/specs/altair/beacon-chain.md#add_flag func add_flag*(flags: ParticipationFlags, flag_index: int): ParticipationFlags = let flag = ParticipationFlags(1'u8 shl flag_index) flags or flag # https://github.com/ethereum/consensus-specs/blob/v1.1.0-beta.4/specs/altair/beacon-chain.md#has_flag func has_flag*(flags: ParticipationFlags, flag_index: int): bool = let flag = ParticipationFlags(1'u8 shl flag_index) (flags and flag) == flag # https://github.com/ethereum/consensus-specs/blob/v1.1.0-beta.4/specs/altair/sync-protocol.md#get_subtree_index func get_subtree_index*(idx: GeneralizedIndex): uint64 = doAssert idx > 0 uint64(idx mod (type(idx)(1) shl log2trunc(idx))) # https://github.com/ethereum/consensus-specs/blob/v1.1.0-beta.4/specs/merge/beacon-chain.md#is_merge_complete func is_merge_complete*(state: merge.BeaconState): bool = state.latest_execution_payload_header != default(ExecutionPayloadHeader) # https://github.com/ethereum/consensus-specs/blob/v1.1.0-beta.4/specs/merge/beacon-chain.md#is_merge_block func is_merge_block( state: merge.BeaconState, body: merge.BeaconBlockBody | merge.TrustedBeaconBlockBody | merge.SigVerifiedBeaconBlockBody): bool = not is_merge_complete(state) and body.execution_payload != ExecutionPayload() # https://github.com/ethereum/consensus-specs/blob/v1.1.0-beta.4/specs/merge/beacon-chain.md#is_execution_enabled func is_execution_enabled*( state: merge.BeaconState, body: merge.BeaconBlockBody | merge.TrustedBeaconBlockBody | merge.SigVerifiedBeaconBlockBody): bool = is_merge_block(state, body) or is_merge_complete(state) # https://github.com/ethereum/consensus-specs/blob/v1.1.0-beta.4/specs/merge/beacon-chain.md#compute_timestamp_at_slot func compute_timestamp_at_slot*(state: SomeBeaconState, slot: Slot): uint64 = # Note: This function is unsafe with respect to overflows and underflows. let slots_since_genesis = slot - GENESIS_SLOT state.genesis_time + slots_since_genesis * SECONDS_PER_SLOT