diff --git a/specs/_features/eip7251/beacon-chain.md b/specs/_features/eip7251/beacon-chain.md index 89ccb0522..7785f110c 100644 --- a/specs/_features/eip7251/beacon-chain.md +++ b/specs/_features/eip7251/beacon-chain.md @@ -58,10 +58,11 @@ - [Updated `process_operations`](#updated-process_operations) - [Deposits](#deposits) - [Updated `apply_deposit`](#updated--apply_deposit) + - [Modified `add_validator_to_registry`](#modified-add_validator_to_registry) - [Updated `get_validator_from_deposit`](#updated-get_validator_from_deposit) - [Withdrawals](#withdrawals) - [New `process_execution_layer_withdraw_request`](#new-process_execution_layer_withdraw_request) - - [Updated `get_expected_withdrawals`](#updated--get_expected_withdrawals) + - [Updated `get_expected_withdrawals`](#updated-get_expected_withdrawals) - [Consolidations](#consolidations) - [New `process_consolidation`](#new-process_consolidation) @@ -691,9 +692,9 @@ def process_execution_layer_withdraw_request( # Verify the validator is active and is_active_validator(validator, get_current_epoch(state)) # Verify exit has not been initiated, and slashed - validator.exit_epoch == FAR_FUTURE_EPOCH + and validator.exit_epoch == FAR_FUTURE_EPOCH # Verify the validator has been active long enough - get_current_epoch(state) >= validator.activation_epoch + SHARD_COMMITTEE_PERIOD + and get_current_epoch(state) >= validator.activation_epoch + SHARD_COMMITTEE_PERIOD ): return # New condition: only allow partial withdrawals with compounding withdrawal credentials @@ -705,10 +706,10 @@ def process_execution_layer_withdraw_request( ) # only exit validator if it has no pending withdrawals in the queue if is_full_exit_request and pending_balance_to_withdraw == 0: - initiate_validator_exit(state, validator_index) - elif state.balances[validator_index] > MIN_ACTIVATION_BALANCE + pending_balance_to_withdraw: + initiate_validator_exit(state, index) + elif state.balances[index] > MIN_ACTIVATION_BALANCE + pending_balance_to_withdraw: to_withdraw = min( - state.balances[validator_index] - MIN_ACTIVATION_BALANCE - pending_balance_to_withdraw, + state.balances[index] - MIN_ACTIVATION_BALANCE - pending_balance_to_withdraw, amount ) exit_queue_epoch = compute_exit_epoch_and_update_churn(state, to_withdraw) diff --git a/specs/_features/eip7251/validator.md b/specs/_features/eip7251/validator.md index d0f2223ce..efa519f77 100644 --- a/specs/_features/eip7251/validator.md +++ b/specs/_features/eip7251/validator.md @@ -29,7 +29,8 @@ This document represents the changes to be made in the code of an "honest valida Aggregator selection is now balance based. `state` is the `BeaconState` at the previous epoch of `slot` to allow lookahead. ```python -def is_aggregator(state: BeaconState, slot: Slot, index: CommitteeIndex, slot_signature: BLSSignature) -> bool: +def is_aggregator(state: BeaconState, slot: Slot, index: CommitteeIndex, + slot_signature: BLSSignature, validator: ValidatorIndex) -> bool: committee = get_beacon_committee(state, slot, index) committee_balance = get_total_balance(state, set(committee)) balance = state.balances[validator] diff --git a/tests/core/pyspec/eth2spec/eip7549/__init__.py b/tests/core/pyspec/eth2spec/eip7549/__init__.py new file mode 100644 index 000000000..91b4a6853 --- /dev/null +++ b/tests/core/pyspec/eth2spec/eip7549/__init__.py @@ -0,0 +1 @@ +from . import mainnet as spec # noqa:F401 diff --git a/tests/core/pyspec/eth2spec/eip7549/mainnet.py b/tests/core/pyspec/eth2spec/eip7549/mainnet.py new file mode 100644 index 000000000..c2388a662 --- /dev/null +++ b/tests/core/pyspec/eth2spec/eip7549/mainnet.py @@ -0,0 +1,4952 @@ +from lru import LRU +from dataclasses import ( + dataclass, + field, +) +from typing import ( + Any, Callable, Dict, Set, Sequence, Tuple, Optional, TypeVar, NamedTuple, Final +) + +from eth2spec.utils.ssz.ssz_impl import hash_tree_root, copy, uint_to_bytes +from eth2spec.utils.ssz.ssz_typing import ( + View, boolean, Container, List, Vector, uint8, uint32, uint64, uint256, + Bytes1, Bytes4, Bytes32, Bytes48, Bytes96, Bitlist) +from eth2spec.utils.ssz.ssz_typing import Bitvector # noqa: F401 +from eth2spec.utils import bls +from eth2spec.utils.hash_function import hash + + +from typing import NewType, Union as PyUnion + +from eth2spec.phase0 import mainnet as phase0 +from eth2spec.test.helpers.merkle import build_proof +from eth2spec.utils.ssz.ssz_typing import Path + + +from typing import Protocol +from eth2spec.altair import mainnet as altair +from eth2spec.utils.ssz.ssz_typing import Bytes8, Bytes20, ByteList, ByteVector + + +from eth2spec.bellatrix import mainnet as bellatrix + + +from eth2spec.capella import mainnet as capella + + +SSZObject = TypeVar('SSZObject', bound=View) + + +SSZVariableName = str +GeneralizedIndex = NewType('GeneralizedIndex', int) + + +T = TypeVar('T') # For generic function + + +fork = 'eip7549' + + +def ceillog2(x: int) -> uint64: + if x < 1: + raise ValueError(f"ceillog2 accepts only positive values, x={x}") + return uint64((x - 1).bit_length()) + + +def floorlog2(x: int) -> uint64: + if x < 1: + raise ValueError(f"floorlog2 accepts only positive values, x={x}") + return uint64(x.bit_length() - 1) + + +MAX_BYTES_PER_TRANSACTION = 1073741824 +BYTES_PER_FIELD_ELEMENT = 32 +FIELD_ELEMENTS_PER_BLOB = 4096 +MAX_BLOBS_PER_BLOCK = 6 +MAX_BLOB_COMMITMENTS_PER_BLOCK = 4096 + + +FINALIZED_ROOT_GINDEX = GeneralizedIndex(105) +CURRENT_SYNC_COMMITTEE_GINDEX = GeneralizedIndex(54) +NEXT_SYNC_COMMITTEE_GINDEX = GeneralizedIndex(55) +EXECUTION_PAYLOAD_GINDEX = GeneralizedIndex(25) + + +class Ether(uint64): + pass + + +class NodeID(uint256): + pass + + +class SubnetID(uint64): + pass + + +class Slot(uint64): + pass + + +class Epoch(uint64): + pass + + +class CommitteeIndex(uint64): + pass + + +class ValidatorIndex(uint64): + pass + + +class Gwei(uint64): + pass + + +class Root(Bytes32): + pass + + +class Hash32(Bytes32): + pass + + +class Version(Bytes4): + pass + + +class DomainType(Bytes4): + pass + + +class ForkDigest(Bytes4): + pass + + +class Domain(Bytes32): + pass + + +class BLSPubkey(Bytes48): + pass + + +class BLSSignature(Bytes96): + pass + + +class ParticipationFlags(uint8): + pass + + +class FinalityBranch(Vector[Bytes32, floorlog2(FINALIZED_ROOT_GINDEX)]): # type: ignore + pass + + +class CurrentSyncCommitteeBranch(Vector[Bytes32, floorlog2(CURRENT_SYNC_COMMITTEE_GINDEX)]): # type: ignore + pass + + +class NextSyncCommitteeBranch(Vector[Bytes32, floorlog2(NEXT_SYNC_COMMITTEE_GINDEX)]): # type: ignore + pass + + +class Transaction(ByteList[MAX_BYTES_PER_TRANSACTION]): + pass + + +class ExecutionAddress(Bytes20): + pass + + +class PayloadId(Bytes8): + pass + + +class WithdrawalIndex(uint64): + pass + + +class ExecutionBranch(Vector[Bytes32, floorlog2(EXECUTION_PAYLOAD_GINDEX)]): # type: ignore + pass + + +class G1Point(Bytes48): + pass + + +class G2Point(Bytes96): + pass + + +class BLSFieldElement(uint256): + pass + + +class KZGCommitment(Bytes48): + pass + + +class KZGProof(Bytes48): + pass + + +class Polynomial(Vector[BLSFieldElement, FIELD_ELEMENTS_PER_BLOB]): + pass + + +class Blob(ByteVector[BYTES_PER_FIELD_ELEMENT * FIELD_ELEMENTS_PER_BLOB]): # type: ignore + pass + + +class VersionedHash(Bytes32): + pass + + +class BlobIndex(uint64): + pass + + +# Constant vars +ETH_TO_GWEI = uint64(10**9) +SAFETY_DECAY = uint64(10) +NODE_ID_BITS = 256 +UINT64_MAX = uint64(2**64 - 1) +UINT64_MAX_SQRT = uint64(4294967295) +GENESIS_SLOT = Slot(0) +GENESIS_EPOCH = Epoch(0) +FAR_FUTURE_EPOCH = Epoch(2**64 - 1) +BASE_REWARDS_PER_EPOCH = uint64(4) +DEPOSIT_CONTRACT_TREE_DEPTH = uint64(2**5) +JUSTIFICATION_BITS_LENGTH = uint64(4) +ENDIANNESS: Final = 'little' +BLS_WITHDRAWAL_PREFIX = Bytes1('0x00') +ETH1_ADDRESS_WITHDRAWAL_PREFIX = Bytes1('0x01') +DOMAIN_BEACON_PROPOSER = DomainType('0x00000000') +DOMAIN_BEACON_ATTESTER = DomainType('0x01000000') +DOMAIN_RANDAO = DomainType('0x02000000') +DOMAIN_DEPOSIT = DomainType('0x03000000') +DOMAIN_VOLUNTARY_EXIT = DomainType('0x04000000') +DOMAIN_SELECTION_PROOF = DomainType('0x05000000') +DOMAIN_AGGREGATE_AND_PROOF = DomainType('0x06000000') +DOMAIN_APPLICATION_MASK = DomainType('0x00000001') +INTERVALS_PER_SLOT = uint64(3) +TARGET_AGGREGATORS_PER_COMMITTEE = 2**4 +TIMELY_SOURCE_FLAG_INDEX = 0 +TIMELY_TARGET_FLAG_INDEX = 1 +TIMELY_HEAD_FLAG_INDEX = 2 +TIMELY_SOURCE_WEIGHT = uint64(14) +TIMELY_TARGET_WEIGHT = uint64(26) +TIMELY_HEAD_WEIGHT = uint64(14) +SYNC_REWARD_WEIGHT = uint64(2) +PROPOSER_WEIGHT = uint64(8) +WEIGHT_DENOMINATOR = uint64(64) +DOMAIN_SYNC_COMMITTEE = DomainType('0x07000000') +DOMAIN_SYNC_COMMITTEE_SELECTION_PROOF = DomainType('0x08000000') +DOMAIN_CONTRIBUTION_AND_PROOF = DomainType('0x09000000') +PARTICIPATION_FLAG_WEIGHTS = [TIMELY_SOURCE_WEIGHT, TIMELY_TARGET_WEIGHT, TIMELY_HEAD_WEIGHT] +TARGET_AGGREGATORS_PER_SYNC_SUBCOMMITTEE = 2**4 +SYNC_COMMITTEE_SUBNET_COUNT = 4 +G2_POINT_AT_INFINITY = BLSSignature(b'\xc0' + b'\x00' * 95) +MAX_REQUEST_LIGHT_CLIENT_UPDATES = 2**7 +SAFE_SLOTS_TO_IMPORT_OPTIMISTICALLY = 128 +DOMAIN_BLS_TO_EXECUTION_CHANGE = DomainType('0x0A000000') +BLS_MODULUS = 52435875175126190479447740508185965837690552500527637822603658699938581184513 +BYTES_PER_COMMITMENT = uint64(48) +BYTES_PER_PROOF = uint64(48) +BYTES_PER_FIELD_ELEMENT = uint64(32) +BYTES_PER_BLOB = uint64(BYTES_PER_FIELD_ELEMENT * FIELD_ELEMENTS_PER_BLOB) +G1_POINT_AT_INFINITY = Bytes48(b'\xc0' + b'\x00' * 47) +KZG_ENDIANNESS: Final = 'big' +PRIMITIVE_ROOT_OF_UNITY = 7 +FIAT_SHAMIR_PROTOCOL_DOMAIN = b'FSBLOBVERIFY_V1_' +RANDOM_CHALLENGE_KZG_BATCH_DOMAIN = b'RCKZGBATCH___V1_' +KZG_SETUP_G2_LENGTH = 65 +KZG_SETUP_G1_MONOMIAL = Vector[G1Point, FIELD_ELEMENTS_PER_BLOB](['0x97f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb', '0xad3eb50121139aa34db1d545093ac9374ab7bca2c0f3bf28e27c8dcd8fc7cb42d25926fc0c97b336e9f0fb35e5a04c81', 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'0xb221c1fd335a4362eff504cd95145f122bf93ea02ae162a3fb39c75583fc13a932d26050e164da97cff3e91f9a7f6ff80302c19dd1916f24acf6b93b62f36e9665a8785413b0c7d930c7f1668549910f849bca319b00e59dd01e5dec8d2edacc', '0xa71e2b1e0b16d754b848f05eda90f67bedab37709550171551050c94efba0bfc282f72aeaaa1f0330041461f5e6aa4d11537237e955e1609a469d38ed17f5c2a35a1752f546db89bfeff9eab78ec944266f1cb94c1db3334ab48df716ce408ef', '0xb990ae72768779ba0b2e66df4dd29b3dbd00f901c23b2b4a53419226ef9232acedeb498b0d0687c463e3f1eead58b20b09efcefa566fbfdfe1c6e48d32367936142d0a734143e5e63cdf86be7457723535b787a9cfcfa32fe1d61ad5a2617220', '0x8d27e7fbff77d5b9b9bbc864d5231fecf817238a6433db668d5a62a2c1ee1e5694fdd90c3293c06cc0cb15f7cbeab44d0d42be632cb9ff41fc3f6628b4b62897797d7b56126d65b694dcf3e298e3561ac8813fbd7296593ced33850426df42db', '0xa92039a08b5502d5b211a7744099c9f93fa8c90cedcb1d05e92f01886219dd464eb5fb0337496ad96ed09c987da4e5f019035c5b01cc09b2a18b8a8dd419bc5895388a07e26958f6bd26751929c25f89b8eb4a299d822e2d26fec9ef350e0d3c', '0x92dcc5a1c8c3e1b28b1524e3dd6dbecd63017c9201da9dbe077f1b82adc08c50169f56fc7b5a3b28ec6b89254de3e2fd12838a761053437883c3e01ba616670cea843754548ef84bcc397de2369adcca2ab54cd73c55dc68d87aec3fc2fe4f10']) # noqa: E501 +VERSIONED_HASH_VERSION_KZG = Bytes1('0x01') + + +# Preset vars +MAX_COMMITTEES_PER_SLOT = uint64(64) +TARGET_COMMITTEE_SIZE = uint64(128) +MAX_VALIDATORS_PER_COMMITTEE = uint64(2048) +SHUFFLE_ROUND_COUNT = uint64(90) +HYSTERESIS_QUOTIENT = uint64(4) +HYSTERESIS_DOWNWARD_MULTIPLIER = uint64(1) +HYSTERESIS_UPWARD_MULTIPLIER = uint64(5) +MIN_DEPOSIT_AMOUNT = Gwei(1000000000) +MAX_EFFECTIVE_BALANCE = Gwei(32000000000) +EFFECTIVE_BALANCE_INCREMENT = Gwei(1000000000) +MIN_ATTESTATION_INCLUSION_DELAY = uint64(1) +SLOTS_PER_EPOCH = uint64(32) +MIN_SEED_LOOKAHEAD = uint64(1) +MAX_SEED_LOOKAHEAD = uint64(4) +MIN_EPOCHS_TO_INACTIVITY_PENALTY = uint64(4) +EPOCHS_PER_ETH1_VOTING_PERIOD = uint64(64) +SLOTS_PER_HISTORICAL_ROOT = uint64(8192) +EPOCHS_PER_HISTORICAL_VECTOR = uint64(65536) +EPOCHS_PER_SLASHINGS_VECTOR = uint64(8192) +HISTORICAL_ROOTS_LIMIT = uint64(16777216) +VALIDATOR_REGISTRY_LIMIT = uint64(1099511627776) +BASE_REWARD_FACTOR = uint64(64) +WHISTLEBLOWER_REWARD_QUOTIENT = uint64(512) +PROPOSER_REWARD_QUOTIENT = uint64(8) +INACTIVITY_PENALTY_QUOTIENT = uint64(67108864) +MIN_SLASHING_PENALTY_QUOTIENT = uint64(128) +PROPORTIONAL_SLASHING_MULTIPLIER = uint64(1) +MAX_PROPOSER_SLASHINGS = 16 +MAX_ATTESTER_SLASHINGS = 2 +MAX_ATTESTATIONS = 128 +MAX_DEPOSITS = 16 +MAX_VOLUNTARY_EXITS = 16 +INACTIVITY_PENALTY_QUOTIENT_ALTAIR = uint64(50331648) +MIN_SLASHING_PENALTY_QUOTIENT_ALTAIR = uint64(64) +PROPORTIONAL_SLASHING_MULTIPLIER_ALTAIR = uint64(2) +SYNC_COMMITTEE_SIZE = uint64(512) +EPOCHS_PER_SYNC_COMMITTEE_PERIOD = uint64(256) +MIN_SYNC_COMMITTEE_PARTICIPANTS = 1 +UPDATE_TIMEOUT = 8192 +MAX_BYTES_PER_TRANSACTION = uint64(1073741824) +MAX_TRANSACTIONS_PER_PAYLOAD = uint64(1048576) +BYTES_PER_LOGS_BLOOM = uint64(256) +MAX_EXTRA_DATA_BYTES = 32 +INACTIVITY_PENALTY_QUOTIENT_BELLATRIX = uint64(16777216) +MIN_SLASHING_PENALTY_QUOTIENT_BELLATRIX = uint64(32) +PROPORTIONAL_SLASHING_MULTIPLIER_BELLATRIX = uint64(3) +MAX_BLS_TO_EXECUTION_CHANGES = 16 +MAX_WITHDRAWALS_PER_PAYLOAD = uint64(16) +MAX_VALIDATORS_PER_WITHDRAWALS_SWEEP = 16384 +FIELD_ELEMENTS_PER_BLOB = uint64(4096) +KZG_COMMITMENT_INCLUSION_PROOF_DEPTH = uint64(17) +MAX_BLOB_COMMITMENTS_PER_BLOCK = uint64(4096) +MAX_BLOBS_PER_BLOCK = uint64(6) + + +class Configuration(NamedTuple): + PRESET_BASE: str + GOSSIP_MAX_SIZE: int + MAX_REQUEST_BLOCKS: int + EPOCHS_PER_SUBNET_SUBSCRIPTION: int + MIN_EPOCHS_FOR_BLOCK_REQUESTS: int + MAX_CHUNK_SIZE: int + TTFB_TIMEOUT: int + RESP_TIMEOUT: int + ATTESTATION_PROPAGATION_SLOT_RANGE: int + MAXIMUM_GOSSIP_CLOCK_DISPARITY: int + MESSAGE_DOMAIN_INVALID_SNAPPY: DomainType + MESSAGE_DOMAIN_VALID_SNAPPY: DomainType + SUBNETS_PER_NODE: int + ATTESTATION_SUBNET_COUNT: int + ATTESTATION_SUBNET_EXTRA_BITS: int + ATTESTATION_SUBNET_PREFIX_BITS: int + MIN_GENESIS_ACTIVE_VALIDATOR_COUNT: uint64 + MIN_GENESIS_TIME: uint64 + GENESIS_FORK_VERSION: Version + GENESIS_DELAY: uint64 + SECONDS_PER_SLOT: uint64 + SECONDS_PER_ETH1_BLOCK: uint64 + MIN_VALIDATOR_WITHDRAWABILITY_DELAY: uint64 + SHARD_COMMITTEE_PERIOD: uint64 + ETH1_FOLLOW_DISTANCE: uint64 + EJECTION_BALANCE: Gwei + MIN_PER_EPOCH_CHURN_LIMIT: uint64 + CHURN_LIMIT_QUOTIENT: uint64 + PROPOSER_SCORE_BOOST: uint64 + REORG_HEAD_WEIGHT_THRESHOLD: uint64 + REORG_PARENT_WEIGHT_THRESHOLD: uint64 + REORG_MAX_EPOCHS_SINCE_FINALIZATION: Epoch + INACTIVITY_SCORE_BIAS: uint64 + INACTIVITY_SCORE_RECOVERY_RATE: uint64 + ALTAIR_FORK_VERSION: Version + ALTAIR_FORK_EPOCH: Epoch + TERMINAL_TOTAL_DIFFICULTY: int + TERMINAL_BLOCK_HASH: Hash32 + TERMINAL_BLOCK_HASH_ACTIVATION_EPOCH: int + BELLATRIX_FORK_VERSION: Version + BELLATRIX_FORK_EPOCH: Epoch + CAPELLA_FORK_VERSION: Version + CAPELLA_FORK_EPOCH: Epoch + MAX_REQUEST_BLOCKS_DENEB: int + MAX_REQUEST_BLOB_SIDECARS: int + MIN_EPOCHS_FOR_BLOB_SIDECARS_REQUESTS: int + BLOB_SIDECAR_SUBNET_COUNT: int + MAX_PER_EPOCH_ACTIVATION_CHURN_LIMIT: uint64 + DENEB_FORK_VERSION: Version + DENEB_FORK_EPOCH: Epoch + + +config = Configuration( + PRESET_BASE="mainnet", + GOSSIP_MAX_SIZE=10485760, + MAX_REQUEST_BLOCKS=1024, + EPOCHS_PER_SUBNET_SUBSCRIPTION=256, + MIN_EPOCHS_FOR_BLOCK_REQUESTS=33024, + MAX_CHUNK_SIZE=10485760, + TTFB_TIMEOUT=5, + RESP_TIMEOUT=10, + ATTESTATION_PROPAGATION_SLOT_RANGE=32, + MAXIMUM_GOSSIP_CLOCK_DISPARITY=500, + MESSAGE_DOMAIN_INVALID_SNAPPY=DomainType('0x00000000'), + MESSAGE_DOMAIN_VALID_SNAPPY=DomainType('0x01000000'), + SUBNETS_PER_NODE=2, + ATTESTATION_SUBNET_COUNT=64, + ATTESTATION_SUBNET_EXTRA_BITS=0, + ATTESTATION_SUBNET_PREFIX_BITS=int(6), + MIN_GENESIS_ACTIVE_VALIDATOR_COUNT=uint64(16384), + MIN_GENESIS_TIME=uint64(1606824000), + GENESIS_FORK_VERSION=Version('0x00000000'), + GENESIS_DELAY=uint64(604800), + SECONDS_PER_SLOT=uint64(12), + SECONDS_PER_ETH1_BLOCK=uint64(14), + MIN_VALIDATOR_WITHDRAWABILITY_DELAY=uint64(256), + SHARD_COMMITTEE_PERIOD=uint64(256), + ETH1_FOLLOW_DISTANCE=uint64(2048), + EJECTION_BALANCE=Gwei(16000000000), + MIN_PER_EPOCH_CHURN_LIMIT=uint64(4), + CHURN_LIMIT_QUOTIENT=uint64(65536), + PROPOSER_SCORE_BOOST=uint64(40), + REORG_HEAD_WEIGHT_THRESHOLD=uint64(20), + REORG_PARENT_WEIGHT_THRESHOLD=uint64(160), + REORG_MAX_EPOCHS_SINCE_FINALIZATION=Epoch(2), + INACTIVITY_SCORE_BIAS=uint64(4), + INACTIVITY_SCORE_RECOVERY_RATE=uint64(16), + ALTAIR_FORK_VERSION=Version('0x01000000'), + ALTAIR_FORK_EPOCH=Epoch(74240), + TERMINAL_TOTAL_DIFFICULTY=58750000000000000000000, + TERMINAL_BLOCK_HASH=Hash32('0x0000000000000000000000000000000000000000000000000000000000000000'), + TERMINAL_BLOCK_HASH_ACTIVATION_EPOCH=18446744073709551615, + BELLATRIX_FORK_VERSION=Version('0x02000000'), + BELLATRIX_FORK_EPOCH=Epoch(144896), + CAPELLA_FORK_VERSION=Version('0x03000000'), + CAPELLA_FORK_EPOCH=Epoch(194048), + MAX_REQUEST_BLOCKS_DENEB=128, + MAX_REQUEST_BLOB_SIDECARS=768, + MIN_EPOCHS_FOR_BLOB_SIDECARS_REQUESTS=4096, + BLOB_SIDECAR_SUBNET_COUNT=6, + MAX_PER_EPOCH_ACTIVATION_CHURN_LIMIT=uint64(8), + DENEB_FORK_VERSION=Version('0x04000000'), + DENEB_FORK_EPOCH=Epoch(269568), +) + + +class Fork(Container): + previous_version: Version + current_version: Version + epoch: Epoch # Epoch of latest fork + + +class ForkData(Container): + current_version: Version + genesis_validators_root: Root + + +class Checkpoint(Container): + epoch: Epoch + root: Root + + +class Validator(Container): + pubkey: BLSPubkey + withdrawal_credentials: Bytes32 # Commitment to pubkey for withdrawals + effective_balance: Gwei # Balance at stake + slashed: boolean + # Status epochs + activation_eligibility_epoch: Epoch # When criteria for activation were met + activation_epoch: Epoch + exit_epoch: Epoch + withdrawable_epoch: Epoch # When validator can withdraw funds + + +class AttestationData(Container): + slot: Slot + index: CommitteeIndex + # LMD GHOST vote + beacon_block_root: Root + # FFG vote + source: Checkpoint + target: Checkpoint + + +class IndexedAttestation(Container): + # [Modified in EIP7549] + attesting_indices: List[ValidatorIndex, MAX_VALIDATORS_PER_COMMITTEE * MAX_COMMITTEES_PER_SLOT] + data: AttestationData + signature: BLSSignature + + +class PendingAttestation(Container): + aggregation_bits: Bitlist[MAX_VALIDATORS_PER_COMMITTEE] + data: AttestationData + inclusion_delay: Slot + proposer_index: ValidatorIndex + + +class Eth1Data(Container): + deposit_root: Root + deposit_count: uint64 + block_hash: Hash32 + + +class HistoricalBatch(Container): + block_roots: Vector[Root, SLOTS_PER_HISTORICAL_ROOT] + state_roots: Vector[Root, SLOTS_PER_HISTORICAL_ROOT] + + +class DepositMessage(Container): + pubkey: BLSPubkey + withdrawal_credentials: Bytes32 + amount: Gwei + + +class DepositData(Container): + pubkey: BLSPubkey + withdrawal_credentials: Bytes32 + amount: Gwei + signature: BLSSignature # Signing over DepositMessage + + +class BeaconBlockHeader(Container): + slot: Slot + proposer_index: ValidatorIndex + parent_root: Root + state_root: Root + body_root: Root + + +class SigningData(Container): + object_root: Root + domain: Domain + + +class AttesterSlashing(Container): + attestation_1: IndexedAttestation + attestation_2: IndexedAttestation + + +class Attestation(Container): + aggregation_bits: List[Bitlist[MAX_VALIDATORS_PER_COMMITTEE], MAX_COMMITTEES_PER_SLOT] # [Modified in EIP7549] + data: AttestationData + committee_bits: Bitvector[MAX_COMMITTEES_PER_SLOT] # [New in EIP7549] + signature: BLSSignature + + +class Deposit(Container): + proof: Vector[Bytes32, DEPOSIT_CONTRACT_TREE_DEPTH + 1] # Merkle path to deposit root + data: DepositData + + +class VoluntaryExit(Container): + epoch: Epoch # Earliest epoch when voluntary exit can be processed + validator_index: ValidatorIndex + + +class SignedVoluntaryExit(Container): + message: VoluntaryExit + signature: BLSSignature + + +class SignedBeaconBlockHeader(Container): + message: BeaconBlockHeader + signature: BLSSignature + + +class ProposerSlashing(Container): + signed_header_1: SignedBeaconBlockHeader + signed_header_2: SignedBeaconBlockHeader + + +class Eth1Block(Container): + timestamp: uint64 + deposit_root: Root + deposit_count: uint64 + # All other eth1 block fields + + +class AggregateAndProof(Container): + aggregator_index: ValidatorIndex + aggregate: Attestation + selection_proof: BLSSignature + + +class SignedAggregateAndProof(Container): + message: AggregateAndProof + signature: BLSSignature + + +class SyncAggregate(Container): + sync_committee_bits: Bitvector[SYNC_COMMITTEE_SIZE] + sync_committee_signature: BLSSignature + + +class SyncCommittee(Container): + pubkeys: Vector[BLSPubkey, SYNC_COMMITTEE_SIZE] + aggregate_pubkey: BLSPubkey + + +class SyncCommitteeMessage(Container): + # Slot to which this contribution pertains + slot: Slot + # Block root for this signature + beacon_block_root: Root + # Index of the validator that produced this signature + validator_index: ValidatorIndex + # Signature by the validator over the block root of `slot` + signature: BLSSignature + + +class SyncCommitteeContribution(Container): + # Slot to which this contribution pertains + slot: Slot + # Block root for this contribution + beacon_block_root: Root + # The subcommittee this contribution pertains to out of the broader sync committee + subcommittee_index: uint64 + # A bit is set if a signature from the validator at the corresponding + # index in the subcommittee is present in the aggregate `signature`. + aggregation_bits: Bitvector[SYNC_COMMITTEE_SIZE // SYNC_COMMITTEE_SUBNET_COUNT] + # Signature by the validator(s) over the block root of `slot` + signature: BLSSignature + + +class ContributionAndProof(Container): + aggregator_index: ValidatorIndex + contribution: SyncCommitteeContribution + selection_proof: BLSSignature + + +class SignedContributionAndProof(Container): + message: ContributionAndProof + signature: BLSSignature + + +class SyncAggregatorSelectionData(Container): + slot: Slot + subcommittee_index: uint64 + + +class ExecutionPayloadHeader(Container): + # Execution block header fields + parent_hash: Hash32 + fee_recipient: ExecutionAddress + state_root: Bytes32 + receipts_root: Bytes32 + logs_bloom: ByteVector[BYTES_PER_LOGS_BLOOM] + prev_randao: Bytes32 + block_number: uint64 + gas_limit: uint64 + gas_used: uint64 + timestamp: uint64 + extra_data: ByteList[MAX_EXTRA_DATA_BYTES] + base_fee_per_gas: uint256 + # Extra payload fields + block_hash: Hash32 # Hash of execution block + transactions_root: Root + withdrawals_root: Root + blob_gas_used: uint64 # [New in Deneb:EIP4844] + excess_blob_gas: uint64 # [New in Deneb:EIP4844] + + +class LightClientHeader(Container): + # Beacon block header + beacon: BeaconBlockHeader + # Execution payload header corresponding to `beacon.body_root` (from Capella onward) + execution: ExecutionPayloadHeader + execution_branch: ExecutionBranch + + +class LightClientOptimisticUpdate(Container): + # Header attested to by the sync committee + attested_header: LightClientHeader + # Sync committee aggregate signature + sync_aggregate: SyncAggregate + # Slot at which the aggregate signature was created (untrusted) + signature_slot: Slot + + +class LightClientFinalityUpdate(Container): + # Header attested to by the sync committee + attested_header: LightClientHeader + # Finalized header corresponding to `attested_header.beacon.state_root` + finalized_header: LightClientHeader + finality_branch: FinalityBranch + # Sync committee aggregate signature + sync_aggregate: SyncAggregate + # Slot at which the aggregate signature was created (untrusted) + signature_slot: Slot + + +class LightClientUpdate(Container): + # Header attested to by the sync committee + attested_header: LightClientHeader + # Next sync committee corresponding to `attested_header.beacon.state_root` + next_sync_committee: SyncCommittee + next_sync_committee_branch: NextSyncCommitteeBranch + # Finalized header corresponding to `attested_header.beacon.state_root` + finalized_header: LightClientHeader + finality_branch: FinalityBranch + # Sync committee aggregate signature + sync_aggregate: SyncAggregate + # Slot at which the aggregate signature was created (untrusted) + signature_slot: Slot + + +class LightClientBootstrap(Container): + # Header matching the requested beacon block root + header: LightClientHeader + # Current sync committee corresponding to `header.beacon.state_root` + current_sync_committee: SyncCommittee + current_sync_committee_branch: CurrentSyncCommitteeBranch + + +class PowBlock(Container): + block_hash: Hash32 + parent_hash: Hash32 + total_difficulty: uint256 + + +class Withdrawal(Container): + index: WithdrawalIndex + validator_index: ValidatorIndex + address: ExecutionAddress + amount: Gwei + + +class ExecutionPayload(Container): + # Execution block header fields + parent_hash: Hash32 + fee_recipient: ExecutionAddress # 'beneficiary' in the yellow paper + state_root: Bytes32 + receipts_root: Bytes32 + logs_bloom: ByteVector[BYTES_PER_LOGS_BLOOM] + prev_randao: Bytes32 # 'difficulty' in the yellow paper + block_number: uint64 # 'number' in the yellow paper + gas_limit: uint64 + gas_used: uint64 + timestamp: uint64 + extra_data: ByteList[MAX_EXTRA_DATA_BYTES] + base_fee_per_gas: uint256 + # Extra payload fields + block_hash: Hash32 # Hash of execution block + transactions: List[Transaction, MAX_TRANSACTIONS_PER_PAYLOAD] + withdrawals: List[Withdrawal, MAX_WITHDRAWALS_PER_PAYLOAD] + blob_gas_used: uint64 # [New in Deneb:EIP4844] + excess_blob_gas: uint64 # [New in Deneb:EIP4844] + + +class BLSToExecutionChange(Container): + validator_index: ValidatorIndex + from_bls_pubkey: BLSPubkey + to_execution_address: ExecutionAddress + + +class SignedBLSToExecutionChange(Container): + message: BLSToExecutionChange + signature: BLSSignature + + +class BeaconBlockBody(Container): + randao_reveal: BLSSignature + eth1_data: Eth1Data # Eth1 data vote + graffiti: Bytes32 # Arbitrary data + # Operations + proposer_slashings: List[ProposerSlashing, MAX_PROPOSER_SLASHINGS] + attester_slashings: List[AttesterSlashing, MAX_ATTESTER_SLASHINGS] + attestations: List[Attestation, MAX_ATTESTATIONS] + deposits: List[Deposit, MAX_DEPOSITS] + voluntary_exits: List[SignedVoluntaryExit, MAX_VOLUNTARY_EXITS] + sync_aggregate: SyncAggregate + # Execution + execution_payload: ExecutionPayload # [Modified in Deneb:EIP4844] + bls_to_execution_changes: List[SignedBLSToExecutionChange, MAX_BLS_TO_EXECUTION_CHANGES] + blob_kzg_commitments: List[KZGCommitment, MAX_BLOB_COMMITMENTS_PER_BLOCK] # [New in Deneb:EIP4844] + + +class BeaconBlock(Container): + slot: Slot + proposer_index: ValidatorIndex + parent_root: Root + state_root: Root + body: BeaconBlockBody + + +class SignedBeaconBlock(Container): + message: BeaconBlock + signature: BLSSignature + + +class HistoricalSummary(Container): + """ + `HistoricalSummary` matches the components of the phase0 `HistoricalBatch` + making the two hash_tree_root-compatible. + """ + block_summary_root: Root + state_summary_root: Root + + +class BeaconState(Container): + # Versioning + genesis_time: uint64 + genesis_validators_root: Root + slot: Slot + fork: Fork + # History + latest_block_header: BeaconBlockHeader + block_roots: Vector[Root, SLOTS_PER_HISTORICAL_ROOT] + state_roots: Vector[Root, SLOTS_PER_HISTORICAL_ROOT] + historical_roots: List[Root, HISTORICAL_ROOTS_LIMIT] # Frozen in Capella, replaced by historical_summaries + # Eth1 + eth1_data: Eth1Data + eth1_data_votes: List[Eth1Data, EPOCHS_PER_ETH1_VOTING_PERIOD * SLOTS_PER_EPOCH] + eth1_deposit_index: uint64 + # Registry + validators: List[Validator, VALIDATOR_REGISTRY_LIMIT] + balances: List[Gwei, VALIDATOR_REGISTRY_LIMIT] + # Randomness + randao_mixes: Vector[Bytes32, EPOCHS_PER_HISTORICAL_VECTOR] + # Slashings + slashings: Vector[Gwei, EPOCHS_PER_SLASHINGS_VECTOR] # Per-epoch sums of slashed effective balances + # Participation + previous_epoch_participation: List[ParticipationFlags, VALIDATOR_REGISTRY_LIMIT] + current_epoch_participation: List[ParticipationFlags, VALIDATOR_REGISTRY_LIMIT] + # Finality + justification_bits: Bitvector[JUSTIFICATION_BITS_LENGTH] # Bit set for every recent justified epoch + previous_justified_checkpoint: Checkpoint + current_justified_checkpoint: Checkpoint + finalized_checkpoint: Checkpoint + # Inactivity + inactivity_scores: List[uint64, VALIDATOR_REGISTRY_LIMIT] + # Sync + current_sync_committee: SyncCommittee + next_sync_committee: SyncCommittee + # Execution + latest_execution_payload_header: ExecutionPayloadHeader # [Modified in Capella] + # Withdrawals + next_withdrawal_index: WithdrawalIndex # [New in Capella] + next_withdrawal_validator_index: ValidatorIndex # [New in Capella] + # Deep history valid from Capella onwards + historical_summaries: List[HistoricalSummary, HISTORICAL_ROOTS_LIMIT] # [New in Capella] + + +class BlobSidecar(Container): + index: BlobIndex # Index of blob in block + blob: Blob + kzg_commitment: KZGCommitment + kzg_proof: KZGProof # Allows for quick verification of kzg_commitment + signed_block_header: SignedBeaconBlockHeader + kzg_commitment_inclusion_proof: Vector[Bytes32, KZG_COMMITMENT_INCLUSION_PROOF_DEPTH] + + +class BlobIdentifier(Container): + block_root: Root + index: BlobIndex + + +@dataclass(eq=True, frozen=True) +class LatestMessage(object): + epoch: Epoch + root: Root + + +@dataclass +class Store(object): + time: uint64 + genesis_time: uint64 + justified_checkpoint: Checkpoint + finalized_checkpoint: Checkpoint + unrealized_justified_checkpoint: Checkpoint + unrealized_finalized_checkpoint: Checkpoint + proposer_boost_root: Root + equivocating_indices: Set[ValidatorIndex] + blocks: Dict[Root, BeaconBlock] = field(default_factory=dict) + block_states: Dict[Root, BeaconState] = field(default_factory=dict) + block_timeliness: Dict[Root, boolean] = field(default_factory=dict) + checkpoint_states: Dict[Checkpoint, BeaconState] = field(default_factory=dict) + latest_messages: Dict[ValidatorIndex, LatestMessage] = field(default_factory=dict) + unrealized_justifications: Dict[Root, Checkpoint] = field(default_factory=dict) + + +@dataclass +class LightClientStore(object): + # Header that is finalized + finalized_header: LightClientHeader + # Sync committees corresponding to the finalized header + current_sync_committee: SyncCommittee + next_sync_committee: SyncCommittee + # Best available header to switch finalized head to if we see nothing else + best_valid_update: Optional[LightClientUpdate] + # Most recent available reasonably-safe header + optimistic_header: LightClientHeader + # Max number of active participants in a sync committee (used to calculate safety threshold) + previous_max_active_participants: uint64 + current_max_active_participants: uint64 + + +@dataclass +class NewPayloadRequest(object): + execution_payload: ExecutionPayload + versioned_hashes: Sequence[VersionedHash] + parent_beacon_block_root: Root + + +@dataclass +class PayloadAttributes(object): + timestamp: uint64 + prev_randao: Bytes32 + suggested_fee_recipient: ExecutionAddress + withdrawals: Sequence[Withdrawal] + parent_beacon_block_root: Root # [New in Deneb:EIP4788] + + +@dataclass +class OptimisticStore(object): + optimistic_roots: Set[Root] + head_block_root: Root + blocks: Dict[Root, BeaconBlock] = field(default_factory=dict) + block_states: Dict[Root, BeaconState] = field(default_factory=dict) + + +@dataclass +class BlobsBundle(object): + commitments: Sequence[KZGCommitment] + proofs: Sequence[KZGProof] + blobs: Sequence[Blob] + + +@dataclass +class GetPayloadResponse(object): + execution_payload: ExecutionPayload + block_value: uint256 + blobs_bundle: BlobsBundle # [New in Deneb:EIP4844] + + +class ExecutionEngine(Protocol): + + def notify_new_payload(self, + execution_payload: ExecutionPayload, + parent_beacon_block_root: Root) -> bool: + """ + Return ``True`` if and only if ``execution_payload`` is valid with respect to ``self.execution_state``. + """ + ... + + def is_valid_block_hash(self, + execution_payload: ExecutionPayload, + parent_beacon_block_root: Root) -> bool: + """ + Return ``True`` if and only if ``execution_payload.block_hash`` is computed correctly. + """ + ... + + def verify_and_notify_new_payload(self, + new_payload_request: NewPayloadRequest) -> bool: + ... + + def notify_forkchoice_updated(self, + head_block_hash: Hash32, + safe_block_hash: Hash32, + finalized_block_hash: Hash32, + payload_attributes: Optional[PayloadAttributes]) -> Optional[PayloadId]: + ... + + def get_payload(self, payload_id: PayloadId) -> GetPayloadResponse: + """ + Return ExecutionPayload, uint256, BlobsBundle objects. + """ + # pylint: disable=unused-argument + ... + + def is_valid_versioned_hashes(self, new_payload_request: NewPayloadRequest) -> bool: + """ + Return ``True`` if and only if the version hashes computed by the blob transactions of + ``new_payload_request.execution_payload`` matches ``new_payload_request.version_hashes``. + """ + ... + + +def compute_weak_subjectivity_period(state: BeaconState) -> uint64: + """ + Returns the weak subjectivity period for the current ``state``. + This computation takes into account the effect of: + - validator set churn (bounded by ``get_validator_churn_limit()`` per epoch), and + - validator balance top-ups (bounded by ``MAX_DEPOSITS * SLOTS_PER_EPOCH`` per epoch). + A detailed calculation can be found at: + https://github.com/runtimeverification/beacon-chain-verification/blob/master/weak-subjectivity/weak-subjectivity-analysis.pdf + """ + ws_period = config.MIN_VALIDATOR_WITHDRAWABILITY_DELAY + N = len(get_active_validator_indices(state, get_current_epoch(state))) + t = get_total_active_balance(state) // N // ETH_TO_GWEI + T = MAX_EFFECTIVE_BALANCE // ETH_TO_GWEI + delta = get_validator_churn_limit(state) + Delta = MAX_DEPOSITS * SLOTS_PER_EPOCH + D = SAFETY_DECAY + + if T * (200 + 3 * D) < t * (200 + 12 * D): + epochs_for_validator_set_churn = ( + N * (t * (200 + 12 * D) - T * (200 + 3 * D)) // (600 * delta * (2 * t + T)) + ) + epochs_for_balance_top_ups = ( + N * (200 + 3 * D) // (600 * Delta) + ) + ws_period += max(epochs_for_validator_set_churn, epochs_for_balance_top_ups) + else: + ws_period += ( + 3 * N * D * t // (200 * Delta * (T - t)) + ) + + return ws_period + + +def is_within_weak_subjectivity_period(store: Store, ws_state: BeaconState, ws_checkpoint: Checkpoint) -> bool: + # Clients may choose to validate the input state against the input Weak Subjectivity Checkpoint + assert ws_state.latest_block_header.state_root == ws_checkpoint.root + assert compute_epoch_at_slot(ws_state.slot) == ws_checkpoint.epoch + + ws_period = compute_weak_subjectivity_period(ws_state) + ws_state_epoch = compute_epoch_at_slot(ws_state.slot) + current_epoch = compute_epoch_at_slot(get_current_slot(store)) + return current_epoch <= ws_state_epoch + ws_period + + +def compute_subscribed_subnet(node_id: NodeID, epoch: Epoch, index: int) -> SubnetID: + node_id_prefix = node_id >> (NODE_ID_BITS - config.ATTESTATION_SUBNET_PREFIX_BITS) + node_offset = node_id % config.EPOCHS_PER_SUBNET_SUBSCRIPTION + permutation_seed = hash(uint_to_bytes(uint64((epoch + node_offset) // config.EPOCHS_PER_SUBNET_SUBSCRIPTION))) + permutated_prefix = compute_shuffled_index( + node_id_prefix, + 1 << config.ATTESTATION_SUBNET_PREFIX_BITS, + permutation_seed, + ) + return SubnetID((permutated_prefix + index) % config.ATTESTATION_SUBNET_COUNT) + + +def compute_subscribed_subnets(node_id: NodeID, epoch: Epoch) -> Sequence[SubnetID]: + return [compute_subscribed_subnet(node_id, epoch, index) for index in range(config.SUBNETS_PER_NODE)] + + +def integer_squareroot(n: uint64) -> uint64: + """ + Return the largest integer ``x`` such that ``x**2 <= n``. + """ + if n == UINT64_MAX: + return UINT64_MAX_SQRT + x = n + y = (x + 1) // 2 + while y < x: + x = y + y = (x + n // x) // 2 + return x + + +def xor(bytes_1: Bytes32, bytes_2: Bytes32) -> Bytes32: + """ + Return the exclusive-or of two 32-byte strings. + """ + return Bytes32(a ^ b for a, b in zip(bytes_1, bytes_2)) + + +def bytes_to_uint64(data: bytes) -> uint64: + """ + Return the integer deserialization of ``data`` interpreted as ``ENDIANNESS``-endian. + """ + return uint64(int.from_bytes(data, ENDIANNESS)) + + +def saturating_sub(a: int, b: int) -> int: + """ + Computes a - b, saturating at numeric bounds. + """ + return a - b if a > b else 0 + + +def is_active_validator(validator: Validator, epoch: Epoch) -> bool: + """ + Check if ``validator`` is active. + """ + return validator.activation_epoch <= epoch < validator.exit_epoch + + +def is_eligible_for_activation_queue(validator: Validator) -> bool: + """ + Check if ``validator`` is eligible to be placed into the activation queue. + """ + return ( + validator.activation_eligibility_epoch == FAR_FUTURE_EPOCH + and validator.effective_balance == MAX_EFFECTIVE_BALANCE + ) + + +def is_eligible_for_activation(state: BeaconState, validator: Validator) -> bool: + """ + Check if ``validator`` is eligible for activation. + """ + return ( + # Placement in queue is finalized + validator.activation_eligibility_epoch <= state.finalized_checkpoint.epoch + # Has not yet been activated + and validator.activation_epoch == FAR_FUTURE_EPOCH + ) + + +def is_slashable_validator(validator: Validator, epoch: Epoch) -> bool: + """ + Check if ``validator`` is slashable. + """ + return (not validator.slashed) and (validator.activation_epoch <= epoch < validator.withdrawable_epoch) + + +def is_slashable_attestation_data(data_1: AttestationData, data_2: AttestationData) -> bool: + """ + Check if ``data_1`` and ``data_2`` are slashable according to Casper FFG rules. + """ + return ( + # Double vote + (data_1 != data_2 and data_1.target.epoch == data_2.target.epoch) or + # Surround vote + (data_1.source.epoch < data_2.source.epoch and data_2.target.epoch < data_1.target.epoch) + ) + + +def is_valid_indexed_attestation(state: BeaconState, indexed_attestation: IndexedAttestation) -> bool: + """ + Check if ``indexed_attestation`` is not empty, has sorted and unique indices and has a valid aggregate signature. + """ + # Verify indices are sorted and unique + indices = indexed_attestation.attesting_indices + if len(indices) == 0 or not indices == sorted(set(indices)): + return False + # Verify aggregate signature + pubkeys = [state.validators[i].pubkey for i in indices] + domain = get_domain(state, DOMAIN_BEACON_ATTESTER, indexed_attestation.data.target.epoch) + signing_root = compute_signing_root(indexed_attestation.data, domain) + return bls.FastAggregateVerify(pubkeys, signing_root, indexed_attestation.signature) + + +def is_valid_merkle_branch(leaf: Bytes32, branch: Sequence[Bytes32], depth: uint64, index: uint64, root: Root) -> bool: + """ + Check if ``leaf`` at ``index`` verifies against the Merkle ``root`` and ``branch``. + """ + value = leaf + for i in range(depth): + if index // (2**i) % 2: + value = hash(branch[i] + value) + else: + value = hash(value + branch[i]) + return value == root + + +def compute_shuffled_index(index: uint64, index_count: uint64, seed: Bytes32) -> uint64: + """ + Return the shuffled index corresponding to ``seed`` (and ``index_count``). + """ + assert index < index_count + + # Swap or not (https://link.springer.com/content/pdf/10.1007%2F978-3-642-32009-5_1.pdf) + # See the 'generalized domain' algorithm on page 3 + for current_round in range(SHUFFLE_ROUND_COUNT): + pivot = bytes_to_uint64(hash(seed + uint_to_bytes(uint8(current_round)))[0:8]) % index_count + flip = (pivot + index_count - index) % index_count + position = max(index, flip) + source = hash( + seed + + uint_to_bytes(uint8(current_round)) + + uint_to_bytes(uint32(position // 256)) + ) + byte = uint8(source[(position % 256) // 8]) + bit = (byte >> (position % 8)) % 2 + index = flip if bit else index + + return index + + +def compute_proposer_index(state: BeaconState, indices: Sequence[ValidatorIndex], seed: Bytes32) -> ValidatorIndex: + """ + Return from ``indices`` a random index sampled by effective balance. + """ + assert len(indices) > 0 + MAX_RANDOM_BYTE = 2**8 - 1 + i = uint64(0) + total = uint64(len(indices)) + while True: + candidate_index = indices[compute_shuffled_index(i % total, total, seed)] + random_byte = hash(seed + uint_to_bytes(uint64(i // 32)))[i % 32] + effective_balance = state.validators[candidate_index].effective_balance + if effective_balance * MAX_RANDOM_BYTE >= MAX_EFFECTIVE_BALANCE * random_byte: + return candidate_index + i += 1 + + +def compute_committee(indices: Sequence[ValidatorIndex], + seed: Bytes32, + index: uint64, + count: uint64) -> Sequence[ValidatorIndex]: + """ + Return the committee corresponding to ``indices``, ``seed``, ``index``, and committee ``count``. + """ + start = (len(indices) * index) // count + end = (len(indices) * uint64(index + 1)) // count + return [indices[compute_shuffled_index(uint64(i), uint64(len(indices)), seed)] for i in range(start, end)] + + +def compute_epoch_at_slot(slot: Slot) -> Epoch: + """ + Return the epoch number at ``slot``. + """ + return Epoch(slot // SLOTS_PER_EPOCH) + + +def compute_start_slot_at_epoch(epoch: Epoch) -> Slot: + """ + Return the start slot of ``epoch``. + """ + return Slot(epoch * SLOTS_PER_EPOCH) + + +def compute_activation_exit_epoch(epoch: Epoch) -> Epoch: + """ + Return the epoch during which validator activations and exits initiated in ``epoch`` take effect. + """ + return Epoch(epoch + 1 + MAX_SEED_LOOKAHEAD) + + +def compute_fork_data_root(current_version: Version, genesis_validators_root: Root) -> Root: + """ + 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. + """ + return hash_tree_root(ForkData( + current_version=current_version, + genesis_validators_root=genesis_validators_root, + )) + + +def compute_fork_digest(current_version: Version, genesis_validators_root: Root) -> 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. + """ + return ForkDigest(compute_fork_data_root(current_version, genesis_validators_root)[:4]) + + +def compute_domain(domain_type: DomainType, fork_version: Version=None, genesis_validators_root: Root=None) -> Domain: + """ + Return the domain for the ``domain_type`` and ``fork_version``. + """ + if fork_version is None: + fork_version = config.GENESIS_FORK_VERSION + if genesis_validators_root is None: + genesis_validators_root = Root() # all bytes zero by default + fork_data_root = compute_fork_data_root(fork_version, genesis_validators_root) + return Domain(domain_type + fork_data_root[:28]) + + +def compute_signing_root(ssz_object: SSZObject, domain: Domain) -> Root: + """ + Return the signing root for the corresponding signing data. + """ + return hash_tree_root(SigningData( + object_root=hash_tree_root(ssz_object), + domain=domain, + )) + + +def get_current_epoch(state: BeaconState) -> Epoch: + """ + Return the current epoch. + """ + return compute_epoch_at_slot(state.slot) + + +def get_previous_epoch(state: BeaconState) -> Epoch: + """` + Return the previous epoch (unless the current epoch is ``GENESIS_EPOCH``). + """ + current_epoch = get_current_epoch(state) + return GENESIS_EPOCH if current_epoch == GENESIS_EPOCH else Epoch(current_epoch - 1) + + +def get_block_root(state: BeaconState, epoch: Epoch) -> Root: + """ + Return the block root at the start of a recent ``epoch``. + """ + return get_block_root_at_slot(state, compute_start_slot_at_epoch(epoch)) + + +def get_block_root_at_slot(state: BeaconState, slot: Slot) -> Root: + """ + Return the block root at a recent ``slot``. + """ + assert slot < state.slot <= slot + SLOTS_PER_HISTORICAL_ROOT + return state.block_roots[slot % SLOTS_PER_HISTORICAL_ROOT] + + +def get_randao_mix(state: BeaconState, epoch: Epoch) -> Bytes32: + """ + Return the randao mix at a recent ``epoch``. + """ + return state.randao_mixes[epoch % EPOCHS_PER_HISTORICAL_VECTOR] + + +def get_active_validator_indices(state: BeaconState, epoch: Epoch) -> Sequence[ValidatorIndex]: + """ + Return the sequence of active validator indices at ``epoch``. + """ + return [ValidatorIndex(i) for i, v in enumerate(state.validators) if is_active_validator(v, epoch)] + + +def get_validator_churn_limit(state: BeaconState) -> uint64: + """ + Return the validator churn limit for the current epoch. + """ + active_validator_indices = get_active_validator_indices(state, get_current_epoch(state)) + return max(config.MIN_PER_EPOCH_CHURN_LIMIT, uint64(len(active_validator_indices)) // config.CHURN_LIMIT_QUOTIENT) + + +def get_seed(state: BeaconState, epoch: Epoch, domain_type: DomainType) -> Bytes32: + """ + Return the seed at ``epoch``. + """ + mix = get_randao_mix(state, Epoch(epoch + EPOCHS_PER_HISTORICAL_VECTOR - MIN_SEED_LOOKAHEAD - 1)) # Avoid underflow + return hash(domain_type + uint_to_bytes(epoch) + mix) + + +def get_committee_count_per_slot(state: BeaconState, epoch: Epoch) -> uint64: + """ + Return the number of committees in each slot for the given ``epoch``. + """ + return max(uint64(1), min( + MAX_COMMITTEES_PER_SLOT, + uint64(len(get_active_validator_indices(state, epoch))) // SLOTS_PER_EPOCH // TARGET_COMMITTEE_SIZE, + )) + + +def get_beacon_committee(state: BeaconState, slot: Slot, index: CommitteeIndex) -> Sequence[ValidatorIndex]: + """ + Return the beacon committee at ``slot`` for ``index``. + """ + epoch = compute_epoch_at_slot(slot) + committees_per_slot = get_committee_count_per_slot(state, epoch) + return compute_committee( + indices=get_active_validator_indices(state, epoch), + seed=get_seed(state, epoch, DOMAIN_BEACON_ATTESTER), + index=(slot % SLOTS_PER_EPOCH) * committees_per_slot + index, + count=committees_per_slot * SLOTS_PER_EPOCH, + ) + + +def get_beacon_proposer_index(state: BeaconState) -> ValidatorIndex: + """ + Return the beacon proposer index at the current slot. + """ + epoch = get_current_epoch(state) + seed = hash(get_seed(state, epoch, DOMAIN_BEACON_PROPOSER) + uint_to_bytes(state.slot)) + indices = get_active_validator_indices(state, epoch) + return compute_proposer_index(state, indices, seed) + + +def get_total_balance(state: BeaconState, indices: Set[ValidatorIndex]) -> Gwei: + """ + Return the combined effective balance of the ``indices``. + ``EFFECTIVE_BALANCE_INCREMENT`` Gwei minimum to avoid divisions by zero. + Math safe up to ~10B ETH, after which this overflows uint64. + """ + return Gwei(max(EFFECTIVE_BALANCE_INCREMENT, sum([state.validators[index].effective_balance for index in indices]))) + + +def get_total_active_balance(state: BeaconState) -> Gwei: + """ + Return the combined effective balance of the active validators. + Note: ``get_total_balance`` returns ``EFFECTIVE_BALANCE_INCREMENT`` Gwei minimum to avoid divisions by zero. + """ + return get_total_balance(state, set(get_active_validator_indices(state, get_current_epoch(state)))) + + +def get_domain(state: BeaconState, domain_type: DomainType, epoch: Epoch=None) -> Domain: + """ + Return the signature domain (fork version concatenated with domain type) of a message. + """ + epoch = get_current_epoch(state) if epoch is None else epoch + fork_version = state.fork.previous_version if epoch < state.fork.epoch else state.fork.current_version + return compute_domain(domain_type, fork_version, state.genesis_validators_root) + + +def get_indexed_attestation(state: BeaconState, attestation: Attestation) -> IndexedAttestation: + """ + Return the indexed attestation corresponding to ``attestation``. + """ + attesting_indices = get_attesting_indices(state, attestation) + + return IndexedAttestation( + attesting_indices=sorted(attesting_indices), + data=attestation.data, + signature=attestation.signature, + ) + + +def get_attesting_indices(state: BeaconState, attestation: Attestation) -> Set[ValidatorIndex]: + """ + Return the set of attesting indices corresponding to ``aggregation_bits`` and ``committee_bits``. + """ + + output = set() + committee_indices = get_committee_indices(attestation.committee_bits) + for index in committee_indices: + attesting_bits = attestation.aggregation_bits[index] + committee = get_beacon_committee(state, attestation.data.slot, index) + committee_attesters = set(index for i, index in enumerate(committee) if attesting_bits[i]) + output = output.union(committee_attesters) + + return output + + +def increase_balance(state: BeaconState, index: ValidatorIndex, delta: Gwei) -> None: + """ + Increase the validator balance at index ``index`` by ``delta``. + """ + state.balances[index] += delta + + +def decrease_balance(state: BeaconState, index: ValidatorIndex, delta: Gwei) -> None: + """ + Decrease the validator balance at index ``index`` by ``delta``, with underflow protection. + """ + state.balances[index] = 0 if delta > state.balances[index] else state.balances[index] - delta + + +def initiate_validator_exit(state: BeaconState, index: ValidatorIndex) -> None: + """ + Initiate the exit of the validator with index ``index``. + """ + # Return if validator already initiated exit + validator = state.validators[index] + if validator.exit_epoch != FAR_FUTURE_EPOCH: + return + + # Compute exit queue epoch + exit_epochs = [v.exit_epoch for v in state.validators if v.exit_epoch != FAR_FUTURE_EPOCH] + exit_queue_epoch = max(exit_epochs + [compute_activation_exit_epoch(get_current_epoch(state))]) + exit_queue_churn = len([v for v in state.validators if v.exit_epoch == exit_queue_epoch]) + if exit_queue_churn >= get_validator_churn_limit(state): + exit_queue_epoch += Epoch(1) + + # Set validator exit epoch and withdrawable epoch + validator.exit_epoch = exit_queue_epoch + validator.withdrawable_epoch = Epoch(validator.exit_epoch + config.MIN_VALIDATOR_WITHDRAWABILITY_DELAY) + + +def slash_validator(state: BeaconState, + slashed_index: ValidatorIndex, + whistleblower_index: ValidatorIndex=None) -> None: + """ + Slash the validator with index ``slashed_index``. + """ + epoch = get_current_epoch(state) + initiate_validator_exit(state, slashed_index) + validator = state.validators[slashed_index] + validator.slashed = True + validator.withdrawable_epoch = max(validator.withdrawable_epoch, Epoch(epoch + EPOCHS_PER_SLASHINGS_VECTOR)) + state.slashings[epoch % EPOCHS_PER_SLASHINGS_VECTOR] += validator.effective_balance + slashing_penalty = validator.effective_balance // MIN_SLASHING_PENALTY_QUOTIENT_BELLATRIX # [Modified in Bellatrix] + decrease_balance(state, slashed_index, slashing_penalty) + + # Apply proposer and whistleblower rewards + proposer_index = get_beacon_proposer_index(state) + if whistleblower_index is None: + whistleblower_index = proposer_index + whistleblower_reward = Gwei(validator.effective_balance // WHISTLEBLOWER_REWARD_QUOTIENT) + proposer_reward = Gwei(whistleblower_reward * PROPOSER_WEIGHT // WEIGHT_DENOMINATOR) + increase_balance(state, proposer_index, proposer_reward) + increase_balance(state, whistleblower_index, Gwei(whistleblower_reward - proposer_reward)) + + +def initialize_beacon_state_from_eth1(eth1_block_hash: Hash32, + eth1_timestamp: uint64, + deposits: Sequence[Deposit], + execution_payload_header: ExecutionPayloadHeader=ExecutionPayloadHeader() + ) -> BeaconState: + fork = Fork( + previous_version=config.DENEB_FORK_VERSION, # [Modified in Deneb] for testing only + current_version=config.DENEB_FORK_VERSION, # [Modified in Deneb] + epoch=GENESIS_EPOCH, + ) + state = BeaconState( + genesis_time=eth1_timestamp + config.GENESIS_DELAY, + fork=fork, + eth1_data=Eth1Data(block_hash=eth1_block_hash, deposit_count=uint64(len(deposits))), + latest_block_header=BeaconBlockHeader(body_root=hash_tree_root(BeaconBlockBody())), + randao_mixes=[eth1_block_hash] * EPOCHS_PER_HISTORICAL_VECTOR, # Seed RANDAO with Eth1 entropy + ) + + # Process deposits + leaves = list(map(lambda deposit: deposit.data, deposits)) + for index, deposit in enumerate(deposits): + deposit_data_list = List[DepositData, 2**DEPOSIT_CONTRACT_TREE_DEPTH](*leaves[:index + 1]) + state.eth1_data.deposit_root = hash_tree_root(deposit_data_list) + process_deposit(state, deposit) + + # Process activations + for index, validator in enumerate(state.validators): + balance = state.balances[index] + validator.effective_balance = min(balance - balance % EFFECTIVE_BALANCE_INCREMENT, MAX_EFFECTIVE_BALANCE) + if validator.effective_balance == MAX_EFFECTIVE_BALANCE: + validator.activation_eligibility_epoch = GENESIS_EPOCH + validator.activation_epoch = GENESIS_EPOCH + + # Set genesis validators root for domain separation and chain versioning + state.genesis_validators_root = hash_tree_root(state.validators) + + # Fill in sync committees + # Note: A duplicate committee is assigned for the current and next committee at genesis + state.current_sync_committee = get_next_sync_committee(state) + state.next_sync_committee = get_next_sync_committee(state) + + # Initialize the execution payload header + # If empty, will initialize a chain that has not yet gone through the Merge transition + state.latest_execution_payload_header = execution_payload_header + + return state + + +def is_valid_genesis_state(state: BeaconState) -> bool: + if state.genesis_time < config.MIN_GENESIS_TIME: + return False + if len(get_active_validator_indices(state, GENESIS_EPOCH)) < config.MIN_GENESIS_ACTIVE_VALIDATOR_COUNT: + return False + return True + + +def state_transition(state: BeaconState, signed_block: SignedBeaconBlock, validate_result: bool=True) -> None: + block = signed_block.message + # Process slots (including those with no blocks) since block + process_slots(state, block.slot) + # Verify signature + if validate_result: + assert verify_block_signature(state, signed_block) + # Process block + process_block(state, block) + # Verify state root + if validate_result: + assert block.state_root == hash_tree_root(state) + + +def verify_block_signature(state: BeaconState, signed_block: SignedBeaconBlock) -> bool: + proposer = state.validators[signed_block.message.proposer_index] + signing_root = compute_signing_root(signed_block.message, get_domain(state, DOMAIN_BEACON_PROPOSER)) + return bls.Verify(proposer.pubkey, signing_root, signed_block.signature) + + +def process_slots(state: BeaconState, slot: Slot) -> None: + assert state.slot < slot + while state.slot < slot: + process_slot(state) + # Process epoch on the start slot of the next epoch + if (state.slot + 1) % SLOTS_PER_EPOCH == 0: + process_epoch(state) + state.slot = Slot(state.slot + 1) + + +def process_slot(state: BeaconState) -> None: + # Cache state root + previous_state_root = hash_tree_root(state) + state.state_roots[state.slot % SLOTS_PER_HISTORICAL_ROOT] = previous_state_root + # Cache latest block header state root + if state.latest_block_header.state_root == Bytes32(): + state.latest_block_header.state_root = previous_state_root + # Cache block root + previous_block_root = hash_tree_root(state.latest_block_header) + state.block_roots[state.slot % SLOTS_PER_HISTORICAL_ROOT] = previous_block_root + + +def process_epoch(state: BeaconState) -> None: + process_justification_and_finalization(state) + process_inactivity_updates(state) + process_rewards_and_penalties(state) + process_registry_updates(state) + process_slashings(state) + process_eth1_data_reset(state) + process_effective_balance_updates(state) + process_slashings_reset(state) + process_randao_mixes_reset(state) + process_historical_summaries_update(state) # [Modified in Capella] + process_participation_flag_updates(state) + process_sync_committee_updates(state) + + +def get_matching_source_attestations(state: BeaconState, epoch: Epoch) -> Sequence[PendingAttestation]: + assert epoch in (get_previous_epoch(state), get_current_epoch(state)) + return state.current_epoch_attestations if epoch == get_current_epoch(state) else state.previous_epoch_attestations + + +def get_matching_target_attestations(state: BeaconState, epoch: Epoch) -> Sequence[PendingAttestation]: + return [ + a for a in get_matching_source_attestations(state, epoch) + if a.data.target.root == get_block_root(state, epoch) + ] + + +def get_matching_head_attestations(state: BeaconState, epoch: Epoch) -> Sequence[PendingAttestation]: + return [ + a for a in get_matching_target_attestations(state, epoch) + if a.data.beacon_block_root == get_block_root_at_slot(state, a.data.slot) + ] + + +def get_unslashed_attesting_indices(state: BeaconState, + attestations: Sequence[PendingAttestation]) -> Set[ValidatorIndex]: + output = set() # type: Set[ValidatorIndex] + for a in attestations: + output = output.union(get_attesting_indices(state, a)) + return set(filter(lambda index: not state.validators[index].slashed, output)) + + +def get_attesting_balance(state: BeaconState, attestations: Sequence[PendingAttestation]) -> Gwei: + """ + Return the combined effective balance of the set of unslashed validators participating in ``attestations``. + Note: ``get_total_balance`` returns ``EFFECTIVE_BALANCE_INCREMENT`` Gwei minimum to avoid divisions by zero. + """ + return get_total_balance(state, get_unslashed_attesting_indices(state, attestations)) + + +def process_justification_and_finalization(state: BeaconState) -> None: + # Initial FFG checkpoint values have a `0x00` stub for `root`. + # Skip FFG updates in the first two epochs to avoid corner cases that might result in modifying this stub. + if get_current_epoch(state) <= GENESIS_EPOCH + 1: + return + previous_indices = get_unslashed_participating_indices(state, TIMELY_TARGET_FLAG_INDEX, get_previous_epoch(state)) + current_indices = get_unslashed_participating_indices(state, TIMELY_TARGET_FLAG_INDEX, get_current_epoch(state)) + total_active_balance = get_total_active_balance(state) + previous_target_balance = get_total_balance(state, previous_indices) + current_target_balance = get_total_balance(state, current_indices) + weigh_justification_and_finalization(state, total_active_balance, previous_target_balance, current_target_balance) + + +def weigh_justification_and_finalization(state: BeaconState, + total_active_balance: Gwei, + previous_epoch_target_balance: Gwei, + current_epoch_target_balance: Gwei) -> None: + previous_epoch = get_previous_epoch(state) + current_epoch = get_current_epoch(state) + old_previous_justified_checkpoint = state.previous_justified_checkpoint + old_current_justified_checkpoint = state.current_justified_checkpoint + + # Process justifications + state.previous_justified_checkpoint = state.current_justified_checkpoint + state.justification_bits[1:] = state.justification_bits[:JUSTIFICATION_BITS_LENGTH - 1] + state.justification_bits[0] = 0b0 + if previous_epoch_target_balance * 3 >= total_active_balance * 2: + state.current_justified_checkpoint = Checkpoint(epoch=previous_epoch, + root=get_block_root(state, previous_epoch)) + state.justification_bits[1] = 0b1 + if current_epoch_target_balance * 3 >= total_active_balance * 2: + state.current_justified_checkpoint = Checkpoint(epoch=current_epoch, + root=get_block_root(state, current_epoch)) + state.justification_bits[0] = 0b1 + + # Process finalizations + bits = state.justification_bits + # The 2nd/3rd/4th most recent epochs are justified, the 2nd using the 4th as source + if all(bits[1:4]) and old_previous_justified_checkpoint.epoch + 3 == current_epoch: + state.finalized_checkpoint = old_previous_justified_checkpoint + # The 2nd/3rd most recent epochs are justified, the 2nd using the 3rd as source + if all(bits[1:3]) and old_previous_justified_checkpoint.epoch + 2 == current_epoch: + state.finalized_checkpoint = old_previous_justified_checkpoint + # The 1st/2nd/3rd most recent epochs are justified, the 1st using the 3rd as source + if all(bits[0:3]) and old_current_justified_checkpoint.epoch + 2 == current_epoch: + state.finalized_checkpoint = old_current_justified_checkpoint + # The 1st/2nd most recent epochs are justified, the 1st using the 2nd as source + if all(bits[0:2]) and old_current_justified_checkpoint.epoch + 1 == current_epoch: + state.finalized_checkpoint = old_current_justified_checkpoint + + +def get_base_reward(state: BeaconState, index: ValidatorIndex) -> Gwei: + """ + Return the base reward for the validator defined by ``index`` with respect to the current ``state``. + """ + increments = state.validators[index].effective_balance // EFFECTIVE_BALANCE_INCREMENT + return Gwei(increments * get_base_reward_per_increment(state)) + + +def get_proposer_reward(state: BeaconState, attesting_index: ValidatorIndex) -> Gwei: + return Gwei(get_base_reward(state, attesting_index) // PROPOSER_REWARD_QUOTIENT) + + +def get_finality_delay(state: BeaconState) -> uint64: + return get_previous_epoch(state) - state.finalized_checkpoint.epoch + + +def is_in_inactivity_leak(state: BeaconState) -> bool: + return get_finality_delay(state) > MIN_EPOCHS_TO_INACTIVITY_PENALTY + + +def get_eligible_validator_indices(state: BeaconState) -> Sequence[ValidatorIndex]: + previous_epoch = get_previous_epoch(state) + return [ + ValidatorIndex(index) for index, v in enumerate(state.validators) + if is_active_validator(v, previous_epoch) or (v.slashed and previous_epoch + 1 < v.withdrawable_epoch) + ] + + +def get_attestation_component_deltas(state: BeaconState, + attestations: Sequence[PendingAttestation] + ) -> Tuple[Sequence[Gwei], Sequence[Gwei]]: + """ + Helper with shared logic for use by get source, target, and head deltas functions + """ + rewards = [Gwei(0)] * len(state.validators) + penalties = [Gwei(0)] * len(state.validators) + total_balance = get_total_active_balance(state) + unslashed_attesting_indices = get_unslashed_attesting_indices(state, attestations) + attesting_balance = get_total_balance(state, unslashed_attesting_indices) + for index in get_eligible_validator_indices(state): + if index in unslashed_attesting_indices: + increment = EFFECTIVE_BALANCE_INCREMENT # Factored out from balance totals to avoid uint64 overflow + if is_in_inactivity_leak(state): + # Since full base reward will be canceled out by inactivity penalty deltas, + # optimal participation receives full base reward compensation here. + rewards[index] += get_base_reward(state, index) + else: + reward_numerator = get_base_reward(state, index) * (attesting_balance // increment) + rewards[index] += reward_numerator // (total_balance // increment) + else: + penalties[index] += get_base_reward(state, index) + return rewards, penalties + + +def get_source_deltas(state: BeaconState) -> Tuple[Sequence[Gwei], Sequence[Gwei]]: + """ + Return attester micro-rewards/penalties for source-vote for each validator. + """ + matching_source_attestations = get_matching_source_attestations(state, get_previous_epoch(state)) + return get_attestation_component_deltas(state, matching_source_attestations) + + +def get_target_deltas(state: BeaconState) -> Tuple[Sequence[Gwei], Sequence[Gwei]]: + """ + Return attester micro-rewards/penalties for target-vote for each validator. + """ + matching_target_attestations = get_matching_target_attestations(state, get_previous_epoch(state)) + return get_attestation_component_deltas(state, matching_target_attestations) + + +def get_head_deltas(state: BeaconState) -> Tuple[Sequence[Gwei], Sequence[Gwei]]: + """ + Return attester micro-rewards/penalties for head-vote for each validator. + """ + matching_head_attestations = get_matching_head_attestations(state, get_previous_epoch(state)) + return get_attestation_component_deltas(state, matching_head_attestations) + + +def get_inclusion_delay_deltas(state: BeaconState) -> Tuple[Sequence[Gwei], Sequence[Gwei]]: + """ + Return proposer and inclusion delay micro-rewards/penalties for each validator. + """ + rewards = [Gwei(0) for _ in range(len(state.validators))] + matching_source_attestations = get_matching_source_attestations(state, get_previous_epoch(state)) + for index in get_unslashed_attesting_indices(state, matching_source_attestations): + attestation = min([ + a for a in matching_source_attestations + if index in get_attesting_indices(state, a) + ], key=lambda a: a.inclusion_delay) + rewards[attestation.proposer_index] += get_proposer_reward(state, index) + max_attester_reward = Gwei(get_base_reward(state, index) - get_proposer_reward(state, index)) + rewards[index] += Gwei(max_attester_reward // attestation.inclusion_delay) + + # No penalties associated with inclusion delay + penalties = [Gwei(0) for _ in range(len(state.validators))] + return rewards, penalties + + +def get_inactivity_penalty_deltas(state: BeaconState) -> Tuple[Sequence[Gwei], Sequence[Gwei]]: + """ + Return the inactivity penalty deltas by considering timely target participation flags and inactivity scores. + """ + rewards = [Gwei(0) for _ in range(len(state.validators))] + penalties = [Gwei(0) for _ in range(len(state.validators))] + previous_epoch = get_previous_epoch(state) + matching_target_indices = get_unslashed_participating_indices(state, TIMELY_TARGET_FLAG_INDEX, previous_epoch) + for index in get_eligible_validator_indices(state): + if index not in matching_target_indices: + penalty_numerator = state.validators[index].effective_balance * state.inactivity_scores[index] + # [Modified in Bellatrix] + penalty_denominator = config.INACTIVITY_SCORE_BIAS * INACTIVITY_PENALTY_QUOTIENT_BELLATRIX + penalties[index] += Gwei(penalty_numerator // penalty_denominator) + return rewards, penalties + + +def get_attestation_deltas(state: BeaconState) -> Tuple[Sequence[Gwei], Sequence[Gwei]]: + """ + Return attestation reward/penalty deltas for each validator. + """ + source_rewards, source_penalties = get_source_deltas(state) + target_rewards, target_penalties = get_target_deltas(state) + head_rewards, head_penalties = get_head_deltas(state) + inclusion_delay_rewards, _ = get_inclusion_delay_deltas(state) + _, inactivity_penalties = get_inactivity_penalty_deltas(state) + + rewards = [ + source_rewards[i] + target_rewards[i] + head_rewards[i] + inclusion_delay_rewards[i] + for i in range(len(state.validators)) + ] + + penalties = [ + source_penalties[i] + target_penalties[i] + head_penalties[i] + inactivity_penalties[i] + for i in range(len(state.validators)) + ] + + return rewards, penalties + + +def process_rewards_and_penalties(state: BeaconState) -> None: + # No rewards are applied at the end of `GENESIS_EPOCH` because rewards are for work done in the previous epoch + if get_current_epoch(state) == GENESIS_EPOCH: + return + + flag_deltas = [get_flag_index_deltas(state, flag_index) for flag_index in range(len(PARTICIPATION_FLAG_WEIGHTS))] + deltas = flag_deltas + [get_inactivity_penalty_deltas(state)] + for (rewards, penalties) in deltas: + for index in range(len(state.validators)): + increase_balance(state, ValidatorIndex(index), rewards[index]) + decrease_balance(state, ValidatorIndex(index), penalties[index]) + + +def process_registry_updates(state: BeaconState) -> None: + # Process activation eligibility and ejections + for index, validator in enumerate(state.validators): + if is_eligible_for_activation_queue(validator): + validator.activation_eligibility_epoch = get_current_epoch(state) + 1 + + if ( + is_active_validator(validator, get_current_epoch(state)) + and validator.effective_balance <= config.EJECTION_BALANCE + ): + initiate_validator_exit(state, ValidatorIndex(index)) + + # Queue validators eligible for activation and not yet dequeued for activation + activation_queue = sorted([ + index for index, validator in enumerate(state.validators) + if is_eligible_for_activation(state, validator) + # Order by the sequence of activation_eligibility_epoch setting and then index + ], key=lambda index: (state.validators[index].activation_eligibility_epoch, index)) + # Dequeued validators for activation up to activation churn limit + # [Modified in Deneb:EIP7514] + for index in activation_queue[:get_validator_activation_churn_limit(state)]: + validator = state.validators[index] + validator.activation_epoch = compute_activation_exit_epoch(get_current_epoch(state)) + + +def process_slashings(state: BeaconState) -> None: + epoch = get_current_epoch(state) + total_balance = get_total_active_balance(state) + adjusted_total_slashing_balance = min( + sum(state.slashings) * PROPORTIONAL_SLASHING_MULTIPLIER_BELLATRIX, # [Modified in Bellatrix] + total_balance + ) + for index, validator in enumerate(state.validators): + if validator.slashed and epoch + EPOCHS_PER_SLASHINGS_VECTOR // 2 == validator.withdrawable_epoch: + increment = EFFECTIVE_BALANCE_INCREMENT # Factored out from penalty numerator to avoid uint64 overflow + penalty_numerator = validator.effective_balance // increment * adjusted_total_slashing_balance + penalty = penalty_numerator // total_balance * increment + decrease_balance(state, ValidatorIndex(index), penalty) + + +def process_eth1_data_reset(state: BeaconState) -> None: + next_epoch = Epoch(get_current_epoch(state) + 1) + # Reset eth1 data votes + if next_epoch % EPOCHS_PER_ETH1_VOTING_PERIOD == 0: + state.eth1_data_votes = [] + + +def process_effective_balance_updates(state: BeaconState) -> None: + # Update effective balances with hysteresis + for index, validator in enumerate(state.validators): + balance = state.balances[index] + HYSTERESIS_INCREMENT = uint64(EFFECTIVE_BALANCE_INCREMENT // HYSTERESIS_QUOTIENT) + DOWNWARD_THRESHOLD = HYSTERESIS_INCREMENT * HYSTERESIS_DOWNWARD_MULTIPLIER + UPWARD_THRESHOLD = HYSTERESIS_INCREMENT * HYSTERESIS_UPWARD_MULTIPLIER + if ( + balance + DOWNWARD_THRESHOLD < validator.effective_balance + or validator.effective_balance + UPWARD_THRESHOLD < balance + ): + validator.effective_balance = min(balance - balance % EFFECTIVE_BALANCE_INCREMENT, MAX_EFFECTIVE_BALANCE) + + +def process_slashings_reset(state: BeaconState) -> None: + next_epoch = Epoch(get_current_epoch(state) + 1) + # Reset slashings + state.slashings[next_epoch % EPOCHS_PER_SLASHINGS_VECTOR] = Gwei(0) + + +def process_randao_mixes_reset(state: BeaconState) -> None: + current_epoch = get_current_epoch(state) + next_epoch = Epoch(current_epoch + 1) + # Set randao mix + state.randao_mixes[next_epoch % EPOCHS_PER_HISTORICAL_VECTOR] = get_randao_mix(state, current_epoch) + + +def process_historical_roots_update(state: BeaconState) -> None: + # Set historical root accumulator + next_epoch = Epoch(get_current_epoch(state) + 1) + if next_epoch % (SLOTS_PER_HISTORICAL_ROOT // SLOTS_PER_EPOCH) == 0: + historical_batch = HistoricalBatch(block_roots=state.block_roots, state_roots=state.state_roots) + state.historical_roots.append(hash_tree_root(historical_batch)) + + +def process_participation_record_updates(state: BeaconState) -> None: + # Rotate current/previous epoch attestations + state.previous_epoch_attestations = state.current_epoch_attestations + state.current_epoch_attestations = [] + + +def process_block(state: BeaconState, block: BeaconBlock) -> None: + process_block_header(state, block) + # [Modified in Capella] Removed `is_execution_enabled` check in Capella + process_withdrawals(state, block.body.execution_payload) # [New in Capella] + process_execution_payload(state, block.body, EXECUTION_ENGINE) # [Modified in Capella] + process_randao(state, block.body) + process_eth1_data(state, block.body) + process_operations(state, block.body) # [Modified in Capella] + process_sync_aggregate(state, block.body.sync_aggregate) + + +def process_block_header(state: BeaconState, block: BeaconBlock) -> None: + # Verify that the slots match + assert block.slot == state.slot + # Verify that the block is newer than latest block header + assert block.slot > state.latest_block_header.slot + # Verify that proposer index is the correct index + assert block.proposer_index == get_beacon_proposer_index(state) + # Verify that the parent matches + assert block.parent_root == hash_tree_root(state.latest_block_header) + # Cache current block as the new latest block + state.latest_block_header = BeaconBlockHeader( + slot=block.slot, + proposer_index=block.proposer_index, + parent_root=block.parent_root, + state_root=Bytes32(), # Overwritten in the next process_slot call + body_root=hash_tree_root(block.body), + ) + + # Verify proposer is not slashed + proposer = state.validators[block.proposer_index] + assert not proposer.slashed + + +def process_randao(state: BeaconState, body: BeaconBlockBody) -> None: + epoch = get_current_epoch(state) + # Verify RANDAO reveal + proposer = state.validators[get_beacon_proposer_index(state)] + signing_root = compute_signing_root(epoch, get_domain(state, DOMAIN_RANDAO)) + assert bls.Verify(proposer.pubkey, signing_root, body.randao_reveal) + # Mix in RANDAO reveal + mix = xor(get_randao_mix(state, epoch), hash(body.randao_reveal)) + state.randao_mixes[epoch % EPOCHS_PER_HISTORICAL_VECTOR] = mix + + +def process_eth1_data(state: BeaconState, body: BeaconBlockBody) -> None: + state.eth1_data_votes.append(body.eth1_data) + if state.eth1_data_votes.count(body.eth1_data) * 2 > EPOCHS_PER_ETH1_VOTING_PERIOD * SLOTS_PER_EPOCH: + state.eth1_data = body.eth1_data + + +def process_operations(state: BeaconState, body: BeaconBlockBody) -> None: + # Verify that outstanding deposits are processed up to the maximum number of deposits + assert len(body.deposits) == min(MAX_DEPOSITS, state.eth1_data.deposit_count - state.eth1_deposit_index) + + def for_ops(operations: Sequence[Any], fn: Callable[[BeaconState, Any], None]) -> None: + for operation in operations: + fn(state, operation) + + for_ops(body.proposer_slashings, process_proposer_slashing) + for_ops(body.attester_slashings, process_attester_slashing) + for_ops(body.attestations, process_attestation) + for_ops(body.deposits, process_deposit) + for_ops(body.voluntary_exits, process_voluntary_exit) + for_ops(body.bls_to_execution_changes, process_bls_to_execution_change) # [New in Capella] + + +def process_proposer_slashing(state: BeaconState, proposer_slashing: ProposerSlashing) -> None: + header_1 = proposer_slashing.signed_header_1.message + header_2 = proposer_slashing.signed_header_2.message + + # Verify header slots match + assert header_1.slot == header_2.slot + # Verify header proposer indices match + assert header_1.proposer_index == header_2.proposer_index + # Verify the headers are different + assert header_1 != header_2 + # Verify the proposer is slashable + proposer = state.validators[header_1.proposer_index] + assert is_slashable_validator(proposer, get_current_epoch(state)) + # Verify signatures + for signed_header in (proposer_slashing.signed_header_1, proposer_slashing.signed_header_2): + domain = get_domain(state, DOMAIN_BEACON_PROPOSER, compute_epoch_at_slot(signed_header.message.slot)) + signing_root = compute_signing_root(signed_header.message, domain) + assert bls.Verify(proposer.pubkey, signing_root, signed_header.signature) + + slash_validator(state, header_1.proposer_index) + + +def process_attester_slashing(state: BeaconState, attester_slashing: AttesterSlashing) -> None: + attestation_1 = attester_slashing.attestation_1 + attestation_2 = attester_slashing.attestation_2 + assert is_slashable_attestation_data(attestation_1.data, attestation_2.data) + assert is_valid_indexed_attestation(state, attestation_1) + assert is_valid_indexed_attestation(state, attestation_2) + + slashed_any = False + indices = set(attestation_1.attesting_indices).intersection(attestation_2.attesting_indices) + for index in sorted(indices): + if is_slashable_validator(state.validators[index], get_current_epoch(state)): + slash_validator(state, index) + slashed_any = True + assert slashed_any + + +def process_attestation(state: BeaconState, attestation: Attestation) -> None: + data = attestation.data + assert data.target.epoch in (get_previous_epoch(state), get_current_epoch(state)) + assert data.target.epoch == compute_epoch_at_slot(data.slot) + assert data.slot + MIN_ATTESTATION_INCLUSION_DELAY <= state.slot + + # [Modified in EIP7549] + assert data.index == 0 + committee_indices = get_committee_indices(attestation.committee_bits) + assert len(committee_indices) == len(attestation.aggregation_bits) + for index in committee_indices: + assert index < get_committee_count_per_slot(state, data.target.epoch) + committee = get_beacon_committee(state, data.slot, index) + assert len(attestation.aggregation_bits[index]) == len(committee) + + # Participation flag indices + participation_flag_indices = get_attestation_participation_flag_indices(state, data, state.slot - data.slot) + + # Verify signature + assert is_valid_indexed_attestation(state, get_indexed_attestation(state, attestation)) + + # Update epoch participation flags + if data.target.epoch == get_current_epoch(state): + epoch_participation = state.current_epoch_participation + else: + epoch_participation = state.previous_epoch_participation + + proposer_reward_numerator = 0 + for index in get_attesting_indices(state, attestation): + for flag_index, weight in enumerate(PARTICIPATION_FLAG_WEIGHTS): + if flag_index in participation_flag_indices and not has_flag(epoch_participation[index], flag_index): + epoch_participation[index] = add_flag(epoch_participation[index], flag_index) + proposer_reward_numerator += get_base_reward(state, index) * weight + + # Reward proposer + proposer_reward_denominator = (WEIGHT_DENOMINATOR - PROPOSER_WEIGHT) * WEIGHT_DENOMINATOR // PROPOSER_WEIGHT + proposer_reward = Gwei(proposer_reward_numerator // proposer_reward_denominator) + increase_balance(state, get_beacon_proposer_index(state), proposer_reward) + + +def get_validator_from_deposit(pubkey: BLSPubkey, withdrawal_credentials: Bytes32, amount: uint64) -> Validator: + effective_balance = min(amount - amount % EFFECTIVE_BALANCE_INCREMENT, MAX_EFFECTIVE_BALANCE) + + return Validator( + pubkey=pubkey, + withdrawal_credentials=withdrawal_credentials, + activation_eligibility_epoch=FAR_FUTURE_EPOCH, + activation_epoch=FAR_FUTURE_EPOCH, + exit_epoch=FAR_FUTURE_EPOCH, + withdrawable_epoch=FAR_FUTURE_EPOCH, + effective_balance=effective_balance, + ) + + +def add_validator_to_registry(state: BeaconState, + pubkey: BLSPubkey, + withdrawal_credentials: Bytes32, + amount: uint64) -> None: + index = get_index_for_new_validator(state) + validator = get_validator_from_deposit(pubkey, withdrawal_credentials, amount) + set_or_append_list(state.validators, index, validator) + set_or_append_list(state.balances, index, amount) + # [New in Altair] + set_or_append_list(state.previous_epoch_participation, index, ParticipationFlags(0b0000_0000)) + set_or_append_list(state.current_epoch_participation, index, ParticipationFlags(0b0000_0000)) + set_or_append_list(state.inactivity_scores, index, uint64(0)) + + +def apply_deposit(state: BeaconState, + pubkey: BLSPubkey, + withdrawal_credentials: Bytes32, + amount: uint64, + signature: BLSSignature) -> None: + validator_pubkeys = [v.pubkey for v in state.validators] + if pubkey not in validator_pubkeys: + # Verify the deposit signature (proof of possession) which is not checked by the deposit contract + deposit_message = DepositMessage( + pubkey=pubkey, + withdrawal_credentials=withdrawal_credentials, + amount=amount, + ) + domain = compute_domain(DOMAIN_DEPOSIT) # Fork-agnostic domain since deposits are valid across forks + signing_root = compute_signing_root(deposit_message, domain) + if bls.Verify(pubkey, signing_root, signature): + add_validator_to_registry(state, pubkey, withdrawal_credentials, amount) + else: + # Increase balance by deposit amount + index = ValidatorIndex(validator_pubkeys.index(pubkey)) + increase_balance(state, index, amount) + + +def process_deposit(state: BeaconState, deposit: Deposit) -> None: + # Verify the Merkle branch + assert is_valid_merkle_branch( + leaf=hash_tree_root(deposit.data), + branch=deposit.proof, + depth=DEPOSIT_CONTRACT_TREE_DEPTH + 1, # Add 1 for the List length mix-in + index=state.eth1_deposit_index, + root=state.eth1_data.deposit_root, + ) + + # Deposits must be processed in order + state.eth1_deposit_index += 1 + + apply_deposit( + state=state, + pubkey=deposit.data.pubkey, + withdrawal_credentials=deposit.data.withdrawal_credentials, + amount=deposit.data.amount, + signature=deposit.data.signature, + ) + + +def process_voluntary_exit(state: BeaconState, signed_voluntary_exit: SignedVoluntaryExit) -> None: + voluntary_exit = signed_voluntary_exit.message + validator = state.validators[voluntary_exit.validator_index] + # Verify the validator is active + assert is_active_validator(validator, get_current_epoch(state)) + # Verify exit has not been initiated + assert validator.exit_epoch == FAR_FUTURE_EPOCH + # Exits must specify an epoch when they become valid; they are not valid before then + assert get_current_epoch(state) >= voluntary_exit.epoch + # Verify the validator has been active long enough + assert get_current_epoch(state) >= validator.activation_epoch + config.SHARD_COMMITTEE_PERIOD + # Verify signature + # [Modified in Deneb:EIP7044] + domain = compute_domain(DOMAIN_VOLUNTARY_EXIT, config.CAPELLA_FORK_VERSION, state.genesis_validators_root) + signing_root = compute_signing_root(voluntary_exit, domain) + assert bls.Verify(validator.pubkey, signing_root, signed_voluntary_exit.signature) + # Initiate exit + initiate_validator_exit(state, voluntary_exit.validator_index) + + +def is_previous_epoch_justified(store: Store) -> bool: + current_epoch = get_current_store_epoch(store) + return store.justified_checkpoint.epoch + 1 == current_epoch + + +def get_forkchoice_store(anchor_state: BeaconState, anchor_block: BeaconBlock) -> Store: + assert anchor_block.state_root == hash_tree_root(anchor_state) + anchor_root = hash_tree_root(anchor_block) + anchor_epoch = get_current_epoch(anchor_state) + justified_checkpoint = Checkpoint(epoch=anchor_epoch, root=anchor_root) + finalized_checkpoint = Checkpoint(epoch=anchor_epoch, root=anchor_root) + proposer_boost_root = Root() + return Store( + time=uint64(anchor_state.genesis_time + config.SECONDS_PER_SLOT * anchor_state.slot), + genesis_time=anchor_state.genesis_time, + justified_checkpoint=justified_checkpoint, + finalized_checkpoint=finalized_checkpoint, + unrealized_justified_checkpoint=justified_checkpoint, + unrealized_finalized_checkpoint=finalized_checkpoint, + proposer_boost_root=proposer_boost_root, + equivocating_indices=set(), + blocks={anchor_root: copy(anchor_block)}, + block_states={anchor_root: copy(anchor_state)}, + checkpoint_states={justified_checkpoint: copy(anchor_state)}, + unrealized_justifications={anchor_root: justified_checkpoint} + ) + + +def get_slots_since_genesis(store: Store) -> int: + return (store.time - store.genesis_time) // config.SECONDS_PER_SLOT + + +def get_current_slot(store: Store) -> Slot: + return Slot(GENESIS_SLOT + get_slots_since_genesis(store)) + + +def get_current_store_epoch(store: Store) -> Epoch: + return compute_epoch_at_slot(get_current_slot(store)) + + +def compute_slots_since_epoch_start(slot: Slot) -> int: + return slot - compute_start_slot_at_epoch(compute_epoch_at_slot(slot)) + + +def get_ancestor(store: Store, root: Root, slot: Slot) -> Root: + block = store.blocks[root] + if block.slot > slot: + return get_ancestor(store, block.parent_root, slot) + return root + + +def calculate_committee_fraction(state: BeaconState, committee_percent: uint64) -> Gwei: + committee_weight = get_total_active_balance(state) // SLOTS_PER_EPOCH + return Gwei((committee_weight * committee_percent) // 100) + + +def get_checkpoint_block(store: Store, root: Root, epoch: Epoch) -> Root: + """ + Compute the checkpoint block for epoch ``epoch`` in the chain of block ``root`` + """ + epoch_first_slot = compute_start_slot_at_epoch(epoch) + return get_ancestor(store, root, epoch_first_slot) + + +def get_proposer_score(store: Store) -> Gwei: + justified_checkpoint_state = store.checkpoint_states[store.justified_checkpoint] + committee_weight = get_total_active_balance(justified_checkpoint_state) // SLOTS_PER_EPOCH + return (committee_weight * config.PROPOSER_SCORE_BOOST) // 100 + + +def get_weight(store: Store, root: Root) -> Gwei: + state = store.checkpoint_states[store.justified_checkpoint] + unslashed_and_active_indices = [ + i for i in get_active_validator_indices(state, get_current_epoch(state)) + if not state.validators[i].slashed + ] + attestation_score = Gwei(sum( + state.validators[i].effective_balance for i in unslashed_and_active_indices + if (i in store.latest_messages + and i not in store.equivocating_indices + and get_ancestor(store, store.latest_messages[i].root, store.blocks[root].slot) == root) + )) + if store.proposer_boost_root == Root(): + # Return only attestation score if ``proposer_boost_root`` is not set + return attestation_score + + # Calculate proposer score if ``proposer_boost_root`` is set + proposer_score = Gwei(0) + # Boost is applied if ``root`` is an ancestor of ``proposer_boost_root`` + if get_ancestor(store, store.proposer_boost_root, store.blocks[root].slot) == root: + proposer_score = get_proposer_score(store) + return attestation_score + proposer_score + + +def get_voting_source(store: Store, block_root: Root) -> Checkpoint: + """ + Compute the voting source checkpoint in event that block with root ``block_root`` is the head block + """ + block = store.blocks[block_root] + current_epoch = get_current_store_epoch(store) + block_epoch = compute_epoch_at_slot(block.slot) + if current_epoch > block_epoch: + # The block is from a prior epoch, the voting source will be pulled-up + return store.unrealized_justifications[block_root] + else: + # The block is not from a prior epoch, therefore the voting source is not pulled up + head_state = store.block_states[block_root] + return head_state.current_justified_checkpoint + + +def filter_block_tree(store: Store, block_root: Root, blocks: Dict[Root, BeaconBlock]) -> bool: + block = store.blocks[block_root] + children = [ + root for root in store.blocks.keys() + if store.blocks[root].parent_root == block_root + ] + + # If any children branches contain expected finalized/justified checkpoints, + # add to filtered block-tree and signal viability to parent. + if any(children): + filter_block_tree_result = [filter_block_tree(store, child, blocks) for child in children] + if any(filter_block_tree_result): + blocks[block_root] = block + return True + return False + + current_epoch = get_current_store_epoch(store) + voting_source = get_voting_source(store, block_root) + + # The voting source should be either at the same height as the store's justified checkpoint or + # not more than two epochs ago + correct_justified = ( + store.justified_checkpoint.epoch == GENESIS_EPOCH + or voting_source.epoch == store.justified_checkpoint.epoch + or voting_source.epoch + 2 >= current_epoch + ) + + finalized_checkpoint_block = get_checkpoint_block( + store, + block_root, + store.finalized_checkpoint.epoch, + ) + + correct_finalized = ( + store.finalized_checkpoint.epoch == GENESIS_EPOCH + or store.finalized_checkpoint.root == finalized_checkpoint_block + ) + + # If expected finalized/justified, add to viable block-tree and signal viability to parent. + if correct_justified and correct_finalized: + blocks[block_root] = block + return True + + # Otherwise, branch not viable + return False + + +def get_filtered_block_tree(store: Store) -> Dict[Root, BeaconBlock]: + """ + Retrieve a filtered block tree from ``store``, only returning branches + whose leaf state's justified/finalized info agrees with that in ``store``. + """ + base = store.justified_checkpoint.root + blocks: Dict[Root, BeaconBlock] = {} + filter_block_tree(store, base, blocks) + return blocks + + +def get_head(store: Store) -> Root: + # Get filtered block tree that only includes viable branches + blocks = get_filtered_block_tree(store) + # Execute the LMD-GHOST fork choice + head = store.justified_checkpoint.root + while True: + children = [ + root for root in blocks.keys() + if blocks[root].parent_root == head + ] + if len(children) == 0: + return head + # Sort by latest attesting balance with ties broken lexicographically + # Ties broken by favoring block with lexicographically higher root + head = max(children, key=lambda root: (get_weight(store, root), root)) + + +def update_checkpoints(store: Store, justified_checkpoint: Checkpoint, finalized_checkpoint: Checkpoint) -> None: + """ + Update checkpoints in store if necessary + """ + # Update justified checkpoint + if justified_checkpoint.epoch > store.justified_checkpoint.epoch: + store.justified_checkpoint = justified_checkpoint + + # Update finalized checkpoint + if finalized_checkpoint.epoch > store.finalized_checkpoint.epoch: + store.finalized_checkpoint = finalized_checkpoint + + +def update_unrealized_checkpoints(store: Store, unrealized_justified_checkpoint: Checkpoint, + unrealized_finalized_checkpoint: Checkpoint) -> None: + """ + Update unrealized checkpoints in store if necessary + """ + # Update unrealized justified checkpoint + if unrealized_justified_checkpoint.epoch > store.unrealized_justified_checkpoint.epoch: + store.unrealized_justified_checkpoint = unrealized_justified_checkpoint + + # Update unrealized finalized checkpoint + if unrealized_finalized_checkpoint.epoch > store.unrealized_finalized_checkpoint.epoch: + store.unrealized_finalized_checkpoint = unrealized_finalized_checkpoint + + +def is_head_late(store: Store, head_root: Root) -> bool: + return not store.block_timeliness[head_root] + + +def is_shuffling_stable(slot: Slot) -> bool: + return slot % SLOTS_PER_EPOCH != 0 + + +def is_ffg_competitive(store: Store, head_root: Root, parent_root: Root) -> bool: + return (store.unrealized_justifications[head_root] == store.unrealized_justifications[parent_root]) + + +def is_finalization_ok(store: Store, slot: Slot) -> bool: + epochs_since_finalization = compute_epoch_at_slot(slot) - store.finalized_checkpoint.epoch + return epochs_since_finalization <= config.REORG_MAX_EPOCHS_SINCE_FINALIZATION + + +def is_proposing_on_time(store: Store) -> bool: + # Use half `config.SECONDS_PER_SLOT // INTERVALS_PER_SLOT` as the proposer reorg deadline + time_into_slot = (store.time - store.genesis_time) % config.SECONDS_PER_SLOT + proposer_reorg_cutoff = config.SECONDS_PER_SLOT // INTERVALS_PER_SLOT // 2 + return time_into_slot <= proposer_reorg_cutoff + + +def is_head_weak(store: Store, head_root: Root) -> bool: + justified_state = store.checkpoint_states[store.justified_checkpoint] + reorg_threshold = calculate_committee_fraction(justified_state, config.REORG_HEAD_WEIGHT_THRESHOLD) + head_weight = get_weight(store, head_root) + return head_weight < reorg_threshold + + +def is_parent_strong(store: Store, parent_root: Root) -> bool: + justified_state = store.checkpoint_states[store.justified_checkpoint] + parent_threshold = calculate_committee_fraction(justified_state, config.REORG_PARENT_WEIGHT_THRESHOLD) + parent_weight = get_weight(store, parent_root) + return parent_weight > parent_threshold + + +def get_proposer_head(store: Store, head_root: Root, slot: Slot) -> Root: + head_block = store.blocks[head_root] + parent_root = head_block.parent_root + parent_block = store.blocks[parent_root] + + # Only re-org the head block if it arrived later than the attestation deadline. + head_late = is_head_late(store, head_root) + + # Do not re-org on an epoch boundary where the proposer shuffling could change. + shuffling_stable = is_shuffling_stable(slot) + + # Ensure that the FFG information of the new head will be competitive with the current head. + ffg_competitive = is_ffg_competitive(store, head_root, parent_root) + + # Do not re-org if the chain is not finalizing with acceptable frequency. + finalization_ok = is_finalization_ok(store, slot) + + # Only re-org if we are proposing on-time. + proposing_on_time = is_proposing_on_time(store) + + # Only re-org a single slot at most. + parent_slot_ok = parent_block.slot + 1 == head_block.slot + current_time_ok = head_block.slot + 1 == slot + single_slot_reorg = parent_slot_ok and current_time_ok + + # Check that the head has few enough votes to be overpowered by our proposer boost. + assert store.proposer_boost_root != head_root # ensure boost has worn off + head_weak = is_head_weak(store, head_root) + + # Check that the missing votes are assigned to the parent and not being hoarded. + parent_strong = is_parent_strong(store, parent_root) + + if all([head_late, shuffling_stable, ffg_competitive, finalization_ok, + proposing_on_time, single_slot_reorg, head_weak, parent_strong]): + # We can re-org the current head by building upon its parent block. + return parent_root + else: + return head_root + + +def compute_pulled_up_tip(store: Store, block_root: Root) -> None: + state = store.block_states[block_root].copy() + # Pull up the post-state of the block to the next epoch boundary + process_justification_and_finalization(state) + + store.unrealized_justifications[block_root] = state.current_justified_checkpoint + update_unrealized_checkpoints(store, state.current_justified_checkpoint, state.finalized_checkpoint) + + # If the block is from a prior epoch, apply the realized values + block_epoch = compute_epoch_at_slot(store.blocks[block_root].slot) + current_epoch = get_current_store_epoch(store) + if block_epoch < current_epoch: + update_checkpoints(store, state.current_justified_checkpoint, state.finalized_checkpoint) + + +def on_tick_per_slot(store: Store, time: uint64) -> None: + previous_slot = get_current_slot(store) + + # Update store time + store.time = time + + current_slot = get_current_slot(store) + + # If this is a new slot, reset store.proposer_boost_root + if current_slot > previous_slot: + store.proposer_boost_root = Root() + + # If a new epoch, pull-up justification and finalization from previous epoch + if current_slot > previous_slot and compute_slots_since_epoch_start(current_slot) == 0: + update_checkpoints(store, store.unrealized_justified_checkpoint, store.unrealized_finalized_checkpoint) + + +def validate_target_epoch_against_current_time(store: Store, attestation: Attestation) -> None: + target = attestation.data.target + + # Attestations must be from the current or previous epoch + current_epoch = get_current_store_epoch(store) + # Use GENESIS_EPOCH for previous when genesis to avoid underflow + previous_epoch = current_epoch - 1 if current_epoch > GENESIS_EPOCH else GENESIS_EPOCH + # If attestation target is from a future epoch, delay consideration until the epoch arrives + assert target.epoch in [current_epoch, previous_epoch] + + +def validate_on_attestation(store: Store, attestation: Attestation, is_from_block: bool) -> None: + target = attestation.data.target + + # If the given attestation is not from a beacon block message, we have to check the target epoch scope. + if not is_from_block: + validate_target_epoch_against_current_time(store, attestation) + + # Check that the epoch number and slot number are matching + assert target.epoch == compute_epoch_at_slot(attestation.data.slot) + + # Attestation target must be for a known block. If target block is unknown, delay consideration until block is found + assert target.root in store.blocks + + # Attestations must be for a known block. If block is unknown, delay consideration until the block is found + assert attestation.data.beacon_block_root in store.blocks + # Attestations must not be for blocks in the future. If not, the attestation should not be considered + assert store.blocks[attestation.data.beacon_block_root].slot <= attestation.data.slot + + # LMD vote must be consistent with FFG vote target + assert target.root == get_checkpoint_block(store, attestation.data.beacon_block_root, target.epoch) + + # Attestations can only affect the fork choice of subsequent slots. + # Delay consideration in the fork choice until their slot is in the past. + assert get_current_slot(store) >= attestation.data.slot + 1 + + +def store_target_checkpoint_state(store: Store, target: Checkpoint) -> None: + # Store target checkpoint state if not yet seen + if target not in store.checkpoint_states: + base_state = copy(store.block_states[target.root]) + if base_state.slot < compute_start_slot_at_epoch(target.epoch): + process_slots(base_state, compute_start_slot_at_epoch(target.epoch)) + store.checkpoint_states[target] = base_state + + +def update_latest_messages(store: Store, attesting_indices: Sequence[ValidatorIndex], attestation: Attestation) -> None: + target = attestation.data.target + beacon_block_root = attestation.data.beacon_block_root + non_equivocating_attesting_indices = [i for i in attesting_indices if i not in store.equivocating_indices] + for i in non_equivocating_attesting_indices: + if i not in store.latest_messages or target.epoch > store.latest_messages[i].epoch: + store.latest_messages[i] = LatestMessage(epoch=target.epoch, root=beacon_block_root) + + +def on_tick(store: Store, time: uint64) -> None: + # If the ``store.time`` falls behind, while loop catches up slot by slot + # to ensure that every previous slot is processed with ``on_tick_per_slot`` + tick_slot = (time - store.genesis_time) // config.SECONDS_PER_SLOT + while get_current_slot(store) < tick_slot: + previous_time = store.genesis_time + (get_current_slot(store) + 1) * config.SECONDS_PER_SLOT + on_tick_per_slot(store, previous_time) + on_tick_per_slot(store, time) + + +def on_block(store: Store, signed_block: SignedBeaconBlock) -> None: + """ + Run ``on_block`` upon receiving a new block. + """ + block = signed_block.message + # Parent block must be known + assert block.parent_root in store.block_states + # Make a copy of the state to avoid mutability issues + pre_state = copy(store.block_states[block.parent_root]) + # Blocks cannot be in the future. If they are, their consideration must be delayed until they are in the past. + assert get_current_slot(store) >= block.slot + + # Check that block is later than the finalized epoch slot (optimization to reduce calls to get_ancestor) + finalized_slot = compute_start_slot_at_epoch(store.finalized_checkpoint.epoch) + assert block.slot > finalized_slot + # Check block is a descendant of the finalized block at the checkpoint finalized slot + finalized_checkpoint_block = get_checkpoint_block( + store, + block.parent_root, + store.finalized_checkpoint.epoch, + ) + assert store.finalized_checkpoint.root == finalized_checkpoint_block + + # [New in Deneb:EIP4844] + # Check if blob data is available + # If not, this block MAY be queued and subsequently considered when blob data becomes available + # *Note*: Extraneous or invalid Blobs (in addition to the expected/referenced valid blobs) + # received on the p2p network MUST NOT invalidate a block that is otherwise valid and available + assert is_data_available(hash_tree_root(block), block.body.blob_kzg_commitments) + + # Check the block is valid and compute the post-state + state = pre_state.copy() + block_root = hash_tree_root(block) + state_transition(state, signed_block, True) + + # Add new block to the store + store.blocks[block_root] = block + # Add new state for this block to the store + store.block_states[block_root] = state + + # Add block timeliness to the store + time_into_slot = (store.time - store.genesis_time) % config.SECONDS_PER_SLOT + is_before_attesting_interval = time_into_slot < config.SECONDS_PER_SLOT // INTERVALS_PER_SLOT + is_timely = get_current_slot(store) == block.slot and is_before_attesting_interval + store.block_timeliness[hash_tree_root(block)] = is_timely + + # Add proposer score boost if the block is timely and not conflicting with an existing block + is_first_block = store.proposer_boost_root == Root() + if is_timely and is_first_block: + store.proposer_boost_root = hash_tree_root(block) + + # Update checkpoints in store if necessary + update_checkpoints(store, state.current_justified_checkpoint, state.finalized_checkpoint) + + # Eagerly compute unrealized justification and finality. + compute_pulled_up_tip(store, block_root) + + +def on_attestation(store: Store, attestation: Attestation, is_from_block: bool=False) -> None: + """ + Run ``on_attestation`` upon receiving a new ``attestation`` from either within a block or directly on the wire. + + An ``attestation`` that is asserted as invalid may be valid at a later time, + consider scheduling it for later processing in such case. + """ + validate_on_attestation(store, attestation, is_from_block) + + store_target_checkpoint_state(store, attestation.data.target) + + # Get state at the `target` to fully validate attestation + target_state = store.checkpoint_states[attestation.data.target] + indexed_attestation = get_indexed_attestation(target_state, attestation) + assert is_valid_indexed_attestation(target_state, indexed_attestation) + + # Update latest messages for attesting indices + update_latest_messages(store, indexed_attestation.attesting_indices, attestation) + + +def on_attester_slashing(store: Store, attester_slashing: AttesterSlashing) -> None: + """ + Run ``on_attester_slashing`` immediately upon receiving a new ``AttesterSlashing`` + from either within a block or directly on the wire. + """ + attestation_1 = attester_slashing.attestation_1 + attestation_2 = attester_slashing.attestation_2 + assert is_slashable_attestation_data(attestation_1.data, attestation_2.data) + state = store.block_states[store.justified_checkpoint.root] + assert is_valid_indexed_attestation(state, attestation_1) + assert is_valid_indexed_attestation(state, attestation_2) + + indices = set(attestation_1.attesting_indices).intersection(attestation_2.attesting_indices) + for index in indices: + store.equivocating_indices.add(index) + + +def check_if_validator_active(state: BeaconState, validator_index: ValidatorIndex) -> bool: + validator = state.validators[validator_index] + return is_active_validator(validator, get_current_epoch(state)) + + +def get_committee_assignment(state: BeaconState, + epoch: Epoch, + validator_index: ValidatorIndex + ) -> Optional[Tuple[Sequence[ValidatorIndex], CommitteeIndex, Slot]]: + """ + Return the committee assignment in the ``epoch`` for ``validator_index``. + ``assignment`` returned is a tuple of the following form: + * ``assignment[0]`` is the list of validators in the committee + * ``assignment[1]`` is the index to which the committee is assigned + * ``assignment[2]`` is the slot at which the committee is assigned + Return None if no assignment. + """ + next_epoch = Epoch(get_current_epoch(state) + 1) + assert epoch <= next_epoch + + start_slot = compute_start_slot_at_epoch(epoch) + committee_count_per_slot = get_committee_count_per_slot(state, epoch) + for slot in range(start_slot, start_slot + SLOTS_PER_EPOCH): + for index in range(committee_count_per_slot): + committee = get_beacon_committee(state, Slot(slot), CommitteeIndex(index)) + if validator_index in committee: + return committee, CommitteeIndex(index), Slot(slot) + return None + + +def is_proposer(state: BeaconState, validator_index: ValidatorIndex) -> bool: + return get_beacon_proposer_index(state) == validator_index + + +def get_epoch_signature(state: BeaconState, block: BeaconBlock, privkey: int) -> BLSSignature: + domain = get_domain(state, DOMAIN_RANDAO, compute_epoch_at_slot(block.slot)) + signing_root = compute_signing_root(compute_epoch_at_slot(block.slot), domain) + return bls.Sign(privkey, signing_root) + + +def compute_time_at_slot(state: BeaconState, slot: Slot) -> uint64: + return uint64(state.genesis_time + slot * config.SECONDS_PER_SLOT) + + +def voting_period_start_time(state: BeaconState) -> uint64: + eth1_voting_period_start_slot = Slot(state.slot - state.slot % (EPOCHS_PER_ETH1_VOTING_PERIOD * SLOTS_PER_EPOCH)) + return compute_time_at_slot(state, eth1_voting_period_start_slot) + + +def is_candidate_block(block: Eth1Block, period_start: uint64) -> bool: + return ( + block.timestamp + config.SECONDS_PER_ETH1_BLOCK * config.ETH1_FOLLOW_DISTANCE <= period_start + and block.timestamp + config.SECONDS_PER_ETH1_BLOCK * config.ETH1_FOLLOW_DISTANCE * 2 >= period_start + ) + + +def get_eth1_vote(state: BeaconState, eth1_chain: Sequence[Eth1Block]) -> Eth1Data: + period_start = voting_period_start_time(state) + # `eth1_chain` abstractly represents all blocks in the eth1 chain sorted by ascending block height + votes_to_consider = [ + get_eth1_data(block) for block in eth1_chain + if ( + is_candidate_block(block, period_start) + # Ensure cannot move back to earlier deposit contract states + and get_eth1_data(block).deposit_count >= state.eth1_data.deposit_count + ) + ] + + # Valid votes already cast during this period + valid_votes = [vote for vote in state.eth1_data_votes if vote in votes_to_consider] + + # Default vote on latest eth1 block data in the period range unless eth1 chain is not live + # Non-substantive casting for linter + state_eth1_data: Eth1Data = state.eth1_data + default_vote = votes_to_consider[len(votes_to_consider) - 1] if any(votes_to_consider) else state_eth1_data + + return max( + valid_votes, + key=lambda v: (valid_votes.count(v), -valid_votes.index(v)), # Tiebreak by smallest distance + default=default_vote + ) + + +def compute_new_state_root(state: BeaconState, block: BeaconBlock) -> Root: + temp_state: BeaconState = state.copy() + signed_block = SignedBeaconBlock(message=block) + state_transition(temp_state, signed_block, validate_result=False) + return hash_tree_root(temp_state) + + +def get_block_signature(state: BeaconState, block: BeaconBlock, privkey: int) -> BLSSignature: + domain = get_domain(state, DOMAIN_BEACON_PROPOSER, compute_epoch_at_slot(block.slot)) + signing_root = compute_signing_root(block, domain) + return bls.Sign(privkey, signing_root) + + +def get_attestation_signature(state: BeaconState, attestation_data: AttestationData, privkey: int) -> BLSSignature: + domain = get_domain(state, DOMAIN_BEACON_ATTESTER, attestation_data.target.epoch) + signing_root = compute_signing_root(attestation_data, domain) + return bls.Sign(privkey, signing_root) + + +def compute_subnet_for_attestation(committees_per_slot: uint64, + slot: Slot, + committee_index: CommitteeIndex) -> SubnetID: + """ + Compute the correct subnet for an attestation for Phase 0. + Note, this mimics expected future behavior where attestations will be mapped to their shard subnet. + """ + slots_since_epoch_start = uint64(slot % SLOTS_PER_EPOCH) + committees_since_epoch_start = committees_per_slot * slots_since_epoch_start + + return SubnetID((committees_since_epoch_start + committee_index) % config.ATTESTATION_SUBNET_COUNT) + + +def get_slot_signature(state: BeaconState, slot: Slot, privkey: int) -> BLSSignature: + domain = get_domain(state, DOMAIN_SELECTION_PROOF, compute_epoch_at_slot(slot)) + signing_root = compute_signing_root(slot, domain) + return bls.Sign(privkey, signing_root) + + +def is_aggregator(state: BeaconState, slot: Slot, index: CommitteeIndex, slot_signature: BLSSignature) -> bool: + committee = get_beacon_committee(state, slot, index) + modulo = max(1, len(committee) // TARGET_AGGREGATORS_PER_COMMITTEE) + return bytes_to_uint64(hash(slot_signature)[0:8]) % modulo == 0 + + +def get_aggregate_signature(attestations: Sequence[Attestation]) -> BLSSignature: + signatures = [attestation.signature for attestation in attestations] + return bls.Aggregate(signatures) + + +def get_aggregate_and_proof(state: BeaconState, + aggregator_index: ValidatorIndex, + aggregate: Attestation, + privkey: int) -> AggregateAndProof: + return AggregateAndProof( + aggregator_index=aggregator_index, + aggregate=aggregate, + selection_proof=get_slot_signature(state, aggregate.data.slot, privkey), + ) + + +def get_aggregate_and_proof_signature(state: BeaconState, + aggregate_and_proof: AggregateAndProof, + privkey: int) -> BLSSignature: + aggregate = aggregate_and_proof.aggregate + domain = get_domain(state, DOMAIN_AGGREGATE_AND_PROOF, compute_epoch_at_slot(aggregate.data.slot)) + signing_root = compute_signing_root(aggregate_and_proof, domain) + return bls.Sign(privkey, signing_root) + + +def get_sync_subcommittee_pubkeys(state: BeaconState, subcommittee_index: uint64) -> Sequence[BLSPubkey]: + # Committees assigned to `slot` sign for `slot - 1` + # This creates the exceptional logic below when transitioning between sync committee periods + next_slot_epoch = compute_epoch_at_slot(Slot(state.slot + 1)) + if compute_sync_committee_period(get_current_epoch(state)) == compute_sync_committee_period(next_slot_epoch): + sync_committee = state.current_sync_committee + else: + sync_committee = state.next_sync_committee + + # Return pubkeys for the subcommittee index + sync_subcommittee_size = SYNC_COMMITTEE_SIZE // SYNC_COMMITTEE_SUBNET_COUNT + i = subcommittee_index * sync_subcommittee_size + return sync_committee.pubkeys[i:i + sync_subcommittee_size] + + +def add_flag(flags: ParticipationFlags, flag_index: int) -> ParticipationFlags: + """ + Return a new ``ParticipationFlags`` adding ``flag_index`` to ``flags``. + """ + flag = ParticipationFlags(2**flag_index) + return flags | flag + + +def has_flag(flags: ParticipationFlags, flag_index: int) -> bool: + """ + Return whether ``flags`` has ``flag_index`` set. + """ + flag = ParticipationFlags(2**flag_index) + return flags & flag == flag + + +def get_index_for_new_validator(state: BeaconState) -> ValidatorIndex: + return ValidatorIndex(len(state.validators)) + + +def set_or_append_list(list: List, index: ValidatorIndex, value: Any) -> None: + if index == len(list): + list.append(value) + else: + list[index] = value + + +def get_next_sync_committee_indices(state: BeaconState) -> Sequence[ValidatorIndex]: + """ + Return the sync committee indices, with possible duplicates, for the next sync committee. + """ + epoch = Epoch(get_current_epoch(state) + 1) + + MAX_RANDOM_BYTE = 2**8 - 1 + active_validator_indices = get_active_validator_indices(state, epoch) + active_validator_count = uint64(len(active_validator_indices)) + seed = get_seed(state, epoch, DOMAIN_SYNC_COMMITTEE) + i = 0 + sync_committee_indices: List[ValidatorIndex] = [] + while len(sync_committee_indices) < SYNC_COMMITTEE_SIZE: + shuffled_index = compute_shuffled_index(uint64(i % active_validator_count), active_validator_count, seed) + candidate_index = active_validator_indices[shuffled_index] + random_byte = hash(seed + uint_to_bytes(uint64(i // 32)))[i % 32] + effective_balance = state.validators[candidate_index].effective_balance + if effective_balance * MAX_RANDOM_BYTE >= MAX_EFFECTIVE_BALANCE * random_byte: + sync_committee_indices.append(candidate_index) + i += 1 + return sync_committee_indices + + +def get_next_sync_committee(state: BeaconState) -> SyncCommittee: + """ + Return the next sync committee, with possible pubkey duplicates. + """ + indices = get_next_sync_committee_indices(state) + pubkeys = [state.validators[index].pubkey for index in indices] + aggregate_pubkey = eth_aggregate_pubkeys(pubkeys) + return SyncCommittee(pubkeys=pubkeys, aggregate_pubkey=aggregate_pubkey) + + +def get_base_reward_per_increment(state: BeaconState) -> Gwei: + return Gwei(EFFECTIVE_BALANCE_INCREMENT * BASE_REWARD_FACTOR // integer_squareroot(get_total_active_balance(state))) + + +def get_unslashed_participating_indices(state: BeaconState, flag_index: int, epoch: Epoch) -> Set[ValidatorIndex]: + """ + Return the set of validator indices that are both active and unslashed for the given ``flag_index`` and ``epoch``. + """ + assert epoch in (get_previous_epoch(state), get_current_epoch(state)) + if epoch == get_current_epoch(state): + epoch_participation = state.current_epoch_participation + else: + epoch_participation = state.previous_epoch_participation + active_validator_indices = get_active_validator_indices(state, epoch) + participating_indices = [i for i in active_validator_indices if has_flag(epoch_participation[i], flag_index)] + return set(filter(lambda index: not state.validators[index].slashed, participating_indices)) + + +def get_attestation_participation_flag_indices(state: BeaconState, + data: AttestationData, + inclusion_delay: uint64) -> Sequence[int]: + """ + Return the flag indices that are satisfied by an attestation. + """ + if data.target.epoch == get_current_epoch(state): + justified_checkpoint = state.current_justified_checkpoint + else: + justified_checkpoint = state.previous_justified_checkpoint + + # Matching roots + is_matching_source = data.source == justified_checkpoint + is_matching_target = is_matching_source and data.target.root == get_block_root(state, data.target.epoch) + is_matching_head = is_matching_target and data.beacon_block_root == get_block_root_at_slot(state, data.slot) + assert is_matching_source + + participation_flag_indices = [] + if is_matching_source and inclusion_delay <= integer_squareroot(SLOTS_PER_EPOCH): + participation_flag_indices.append(TIMELY_SOURCE_FLAG_INDEX) + if is_matching_target: # [Modified in Deneb:EIP7045] + participation_flag_indices.append(TIMELY_TARGET_FLAG_INDEX) + if is_matching_head and inclusion_delay == MIN_ATTESTATION_INCLUSION_DELAY: + participation_flag_indices.append(TIMELY_HEAD_FLAG_INDEX) + + return participation_flag_indices + + +def get_flag_index_deltas(state: BeaconState, flag_index: int) -> Tuple[Sequence[Gwei], Sequence[Gwei]]: + """ + Return the deltas for a given ``flag_index`` by scanning through the participation flags. + """ + rewards = [Gwei(0)] * len(state.validators) + penalties = [Gwei(0)] * len(state.validators) + previous_epoch = get_previous_epoch(state) + unslashed_participating_indices = get_unslashed_participating_indices(state, flag_index, previous_epoch) + weight = PARTICIPATION_FLAG_WEIGHTS[flag_index] + unslashed_participating_balance = get_total_balance(state, unslashed_participating_indices) + unslashed_participating_increments = unslashed_participating_balance // EFFECTIVE_BALANCE_INCREMENT + active_increments = get_total_active_balance(state) // EFFECTIVE_BALANCE_INCREMENT + for index in get_eligible_validator_indices(state): + base_reward = get_base_reward(state, index) + if index in unslashed_participating_indices: + if not is_in_inactivity_leak(state): + reward_numerator = base_reward * weight * unslashed_participating_increments + rewards[index] += Gwei(reward_numerator // (active_increments * WEIGHT_DENOMINATOR)) + elif flag_index != TIMELY_HEAD_FLAG_INDEX: + penalties[index] += Gwei(base_reward * weight // WEIGHT_DENOMINATOR) + return rewards, penalties + + +def process_sync_aggregate(state: BeaconState, sync_aggregate: SyncAggregate) -> None: + # Verify sync committee aggregate signature signing over the previous slot block root + committee_pubkeys = state.current_sync_committee.pubkeys + participant_pubkeys = [pubkey for pubkey, bit in zip(committee_pubkeys, sync_aggregate.sync_committee_bits) if bit] + previous_slot = max(state.slot, Slot(1)) - Slot(1) + domain = get_domain(state, DOMAIN_SYNC_COMMITTEE, compute_epoch_at_slot(previous_slot)) + signing_root = compute_signing_root(get_block_root_at_slot(state, previous_slot), domain) + assert eth_fast_aggregate_verify(participant_pubkeys, signing_root, sync_aggregate.sync_committee_signature) + + # Compute participant and proposer rewards + total_active_increments = get_total_active_balance(state) // EFFECTIVE_BALANCE_INCREMENT + total_base_rewards = Gwei(get_base_reward_per_increment(state) * total_active_increments) + max_participant_rewards = Gwei(total_base_rewards * SYNC_REWARD_WEIGHT // WEIGHT_DENOMINATOR // SLOTS_PER_EPOCH) + participant_reward = Gwei(max_participant_rewards // SYNC_COMMITTEE_SIZE) + proposer_reward = Gwei(participant_reward * PROPOSER_WEIGHT // (WEIGHT_DENOMINATOR - PROPOSER_WEIGHT)) + + # Apply participant and proposer rewards + all_pubkeys = [v.pubkey for v in state.validators] + committee_indices = [ValidatorIndex(all_pubkeys.index(pubkey)) for pubkey in state.current_sync_committee.pubkeys] + for participant_index, participation_bit in zip(committee_indices, sync_aggregate.sync_committee_bits): + if participation_bit: + increase_balance(state, participant_index, participant_reward) + increase_balance(state, get_beacon_proposer_index(state), proposer_reward) + else: + decrease_balance(state, participant_index, participant_reward) + + +def process_inactivity_updates(state: BeaconState) -> None: + # Skip the genesis epoch as score updates are based on the previous epoch participation + if get_current_epoch(state) == GENESIS_EPOCH: + return + + for index in get_eligible_validator_indices(state): + # Increase the inactivity score of inactive validators + if index in get_unslashed_participating_indices(state, TIMELY_TARGET_FLAG_INDEX, get_previous_epoch(state)): + state.inactivity_scores[index] -= min(1, state.inactivity_scores[index]) + else: + state.inactivity_scores[index] += config.INACTIVITY_SCORE_BIAS + # Decrease the inactivity score of all eligible validators during a leak-free epoch + if not is_in_inactivity_leak(state): + state.inactivity_scores[index] -= min(config.INACTIVITY_SCORE_RECOVERY_RATE, state.inactivity_scores[index]) + + +def process_participation_flag_updates(state: BeaconState) -> None: + state.previous_epoch_participation = state.current_epoch_participation + state.current_epoch_participation = [ParticipationFlags(0b0000_0000) for _ in range(len(state.validators))] + + +def process_sync_committee_updates(state: BeaconState) -> None: + next_epoch = get_current_epoch(state) + Epoch(1) + if next_epoch % EPOCHS_PER_SYNC_COMMITTEE_PERIOD == 0: + state.current_sync_committee = state.next_sync_committee + state.next_sync_committee = get_next_sync_committee(state) + + +def compute_sync_committee_period(epoch: Epoch) -> uint64: + return epoch // EPOCHS_PER_SYNC_COMMITTEE_PERIOD + + +def is_assigned_to_sync_committee(state: BeaconState, + epoch: Epoch, + validator_index: ValidatorIndex) -> bool: + sync_committee_period = compute_sync_committee_period(epoch) + current_epoch = get_current_epoch(state) + current_sync_committee_period = compute_sync_committee_period(current_epoch) + next_sync_committee_period = current_sync_committee_period + 1 + assert sync_committee_period in (current_sync_committee_period, next_sync_committee_period) + + pubkey = state.validators[validator_index].pubkey + if sync_committee_period == current_sync_committee_period: + return pubkey in state.current_sync_committee.pubkeys + else: # sync_committee_period == next_sync_committee_period + return pubkey in state.next_sync_committee.pubkeys + + +def process_sync_committee_contributions(block: BeaconBlock, + contributions: Set[SyncCommitteeContribution]) -> None: + sync_aggregate = SyncAggregate() + signatures = [] + sync_subcommittee_size = SYNC_COMMITTEE_SIZE // SYNC_COMMITTEE_SUBNET_COUNT + + for contribution in contributions: + subcommittee_index = contribution.subcommittee_index + for index, participated in enumerate(contribution.aggregation_bits): + if participated: + participant_index = sync_subcommittee_size * subcommittee_index + index + sync_aggregate.sync_committee_bits[participant_index] = True + signatures.append(contribution.signature) + + sync_aggregate.sync_committee_signature = bls.Aggregate(signatures) + + block.body.sync_aggregate = sync_aggregate + + +def get_sync_committee_message(state: BeaconState, + block_root: Root, + validator_index: ValidatorIndex, + privkey: int) -> SyncCommitteeMessage: + epoch = get_current_epoch(state) + domain = get_domain(state, DOMAIN_SYNC_COMMITTEE, epoch) + signing_root = compute_signing_root(block_root, domain) + signature = bls.Sign(privkey, signing_root) + + return SyncCommitteeMessage( + slot=state.slot, + beacon_block_root=block_root, + validator_index=validator_index, + signature=signature, + ) + + +def compute_subnets_for_sync_committee(state: BeaconState, validator_index: ValidatorIndex) -> Set[uint64]: + next_slot_epoch = compute_epoch_at_slot(Slot(state.slot + 1)) + if compute_sync_committee_period(get_current_epoch(state)) == compute_sync_committee_period(next_slot_epoch): + sync_committee = state.current_sync_committee + else: + sync_committee = state.next_sync_committee + + target_pubkey = state.validators[validator_index].pubkey + sync_committee_indices = [index for index, pubkey in enumerate(sync_committee.pubkeys) if pubkey == target_pubkey] + return set([ + uint64(index // (SYNC_COMMITTEE_SIZE // SYNC_COMMITTEE_SUBNET_COUNT)) + for index in sync_committee_indices + ]) + + +def get_sync_committee_selection_proof(state: BeaconState, + slot: Slot, + subcommittee_index: uint64, + privkey: int) -> BLSSignature: + domain = get_domain(state, DOMAIN_SYNC_COMMITTEE_SELECTION_PROOF, compute_epoch_at_slot(slot)) + signing_data = SyncAggregatorSelectionData( + slot=slot, + subcommittee_index=subcommittee_index, + ) + signing_root = compute_signing_root(signing_data, domain) + return bls.Sign(privkey, signing_root) + + +def is_sync_committee_aggregator(signature: BLSSignature) -> bool: + modulo = max(1, SYNC_COMMITTEE_SIZE // SYNC_COMMITTEE_SUBNET_COUNT // TARGET_AGGREGATORS_PER_SYNC_SUBCOMMITTEE) + return bytes_to_uint64(hash(signature)[0:8]) % modulo == 0 + + +def get_contribution_and_proof(state: BeaconState, + aggregator_index: ValidatorIndex, + contribution: SyncCommitteeContribution, + privkey: int) -> ContributionAndProof: + selection_proof = get_sync_committee_selection_proof( + state, + contribution.slot, + contribution.subcommittee_index, + privkey, + ) + return ContributionAndProof( + aggregator_index=aggregator_index, + contribution=contribution, + selection_proof=selection_proof, + ) + + +def get_contribution_and_proof_signature(state: BeaconState, + contribution_and_proof: ContributionAndProof, + privkey: int) -> BLSSignature: + contribution = contribution_and_proof.contribution + domain = get_domain(state, DOMAIN_CONTRIBUTION_AND_PROOF, compute_epoch_at_slot(contribution.slot)) + signing_root = compute_signing_root(contribution_and_proof, domain) + return bls.Sign(privkey, signing_root) + + +def eth_aggregate_pubkeys(pubkeys: Sequence[BLSPubkey]) -> BLSPubkey: + return bls.AggregatePKs(pubkeys) + + +def eth_fast_aggregate_verify(pubkeys: Sequence[BLSPubkey], message: Bytes32, signature: BLSSignature) -> bool: + """ + Wrapper to ``bls.FastAggregateVerify`` accepting the ``G2_POINT_AT_INFINITY`` signature when ``pubkeys`` is empty. + """ + if len(pubkeys) == 0 and signature == G2_POINT_AT_INFINITY: + return True + return bls.FastAggregateVerify(pubkeys, message, signature) + + +def compute_fork_version(epoch: Epoch) -> Version: + """ + Return the fork version at the given ``epoch``. + """ + if epoch >= config.DENEB_FORK_EPOCH: + return config.DENEB_FORK_VERSION + if epoch >= config.CAPELLA_FORK_EPOCH: + return config.CAPELLA_FORK_VERSION + if epoch >= config.BELLATRIX_FORK_EPOCH: + return config.BELLATRIX_FORK_VERSION + if epoch >= config.ALTAIR_FORK_EPOCH: + return config.ALTAIR_FORK_VERSION + return config.GENESIS_FORK_VERSION + + +def translate_participation(state: BeaconState, pending_attestations: Sequence[phase0.PendingAttestation]) -> None: + for attestation in pending_attestations: + data = attestation.data + inclusion_delay = attestation.inclusion_delay + # Translate attestation inclusion info to flag indices + participation_flag_indices = get_attestation_participation_flag_indices(state, data, inclusion_delay) + + # Apply flags to all attesting validators + epoch_participation = state.previous_epoch_participation + for index in get_attesting_indices(state, attestation): + for flag_index in participation_flag_indices: + epoch_participation[index] = add_flag(epoch_participation[index], flag_index) + + +def upgrade_to_altair(pre: phase0.BeaconState) -> BeaconState: + epoch = phase0.get_current_epoch(pre) + post = BeaconState( + # Versioning + genesis_time=pre.genesis_time, + genesis_validators_root=pre.genesis_validators_root, + slot=pre.slot, + fork=Fork( + previous_version=pre.fork.current_version, + current_version=config.ALTAIR_FORK_VERSION, + epoch=epoch, + ), + # History + latest_block_header=pre.latest_block_header, + block_roots=pre.block_roots, + state_roots=pre.state_roots, + historical_roots=pre.historical_roots, + # Eth1 + eth1_data=pre.eth1_data, + eth1_data_votes=pre.eth1_data_votes, + eth1_deposit_index=pre.eth1_deposit_index, + # Registry + validators=pre.validators, + balances=pre.balances, + # Randomness + randao_mixes=pre.randao_mixes, + # Slashings + slashings=pre.slashings, + # Participation + previous_epoch_participation=[ParticipationFlags(0b0000_0000) for _ in range(len(pre.validators))], + current_epoch_participation=[ParticipationFlags(0b0000_0000) for _ in range(len(pre.validators))], + # Finality + justification_bits=pre.justification_bits, + previous_justified_checkpoint=pre.previous_justified_checkpoint, + current_justified_checkpoint=pre.current_justified_checkpoint, + finalized_checkpoint=pre.finalized_checkpoint, + # Inactivity + inactivity_scores=[uint64(0) for _ in range(len(pre.validators))], + ) + # Fill in previous epoch participation from the pre state's pending attestations + translate_participation(post, pre.previous_epoch_attestations) + + # Fill in sync committees + # Note: A duplicate committee is assigned for the current and next committee at the fork boundary + post.current_sync_committee = get_next_sync_committee(post) + post.next_sync_committee = get_next_sync_committee(post) + return post + + +def is_valid_light_client_header(header: LightClientHeader) -> bool: + epoch = compute_epoch_at_slot(header.beacon.slot) + + # [New in Deneb:EIP4844] + if epoch < config.DENEB_FORK_EPOCH: + if header.execution.blob_gas_used != uint64(0) or header.execution.excess_blob_gas != uint64(0): + return False + + if epoch < config.CAPELLA_FORK_EPOCH: + return ( + header.execution == ExecutionPayloadHeader() + and header.execution_branch == ExecutionBranch() + ) + + return is_valid_merkle_branch( + leaf=get_lc_execution_root(header), + branch=header.execution_branch, + depth=floorlog2(EXECUTION_PAYLOAD_GINDEX), + index=get_subtree_index(EXECUTION_PAYLOAD_GINDEX), + root=header.beacon.body_root, + ) + + +def is_sync_committee_update(update: LightClientUpdate) -> bool: + return update.next_sync_committee_branch != NextSyncCommitteeBranch() + + +def is_finality_update(update: LightClientUpdate) -> bool: + return update.finality_branch != FinalityBranch() + + +def is_better_update(new_update: LightClientUpdate, old_update: LightClientUpdate) -> bool: + # Compare supermajority (> 2/3) sync committee participation + max_active_participants = len(new_update.sync_aggregate.sync_committee_bits) + new_num_active_participants = sum(new_update.sync_aggregate.sync_committee_bits) + old_num_active_participants = sum(old_update.sync_aggregate.sync_committee_bits) + new_has_supermajority = new_num_active_participants * 3 >= max_active_participants * 2 + old_has_supermajority = old_num_active_participants * 3 >= max_active_participants * 2 + if new_has_supermajority != old_has_supermajority: + return new_has_supermajority > old_has_supermajority + if not new_has_supermajority and new_num_active_participants != old_num_active_participants: + return new_num_active_participants > old_num_active_participants + + # Compare presence of relevant sync committee + new_has_relevant_sync_committee = is_sync_committee_update(new_update) and ( + compute_sync_committee_period_at_slot(new_update.attested_header.beacon.slot) + == compute_sync_committee_period_at_slot(new_update.signature_slot) + ) + old_has_relevant_sync_committee = is_sync_committee_update(old_update) and ( + compute_sync_committee_period_at_slot(old_update.attested_header.beacon.slot) + == compute_sync_committee_period_at_slot(old_update.signature_slot) + ) + if new_has_relevant_sync_committee != old_has_relevant_sync_committee: + return new_has_relevant_sync_committee + + # Compare indication of any finality + new_has_finality = is_finality_update(new_update) + old_has_finality = is_finality_update(old_update) + if new_has_finality != old_has_finality: + return new_has_finality + + # Compare sync committee finality + if new_has_finality: + new_has_sync_committee_finality = ( + compute_sync_committee_period_at_slot(new_update.finalized_header.beacon.slot) + == compute_sync_committee_period_at_slot(new_update.attested_header.beacon.slot) + ) + old_has_sync_committee_finality = ( + compute_sync_committee_period_at_slot(old_update.finalized_header.beacon.slot) + == compute_sync_committee_period_at_slot(old_update.attested_header.beacon.slot) + ) + if new_has_sync_committee_finality != old_has_sync_committee_finality: + return new_has_sync_committee_finality + + # Tiebreaker 1: Sync committee participation beyond supermajority + if new_num_active_participants != old_num_active_participants: + return new_num_active_participants > old_num_active_participants + + # Tiebreaker 2: Prefer older data (fewer changes to best) + if new_update.attested_header.beacon.slot != old_update.attested_header.beacon.slot: + return new_update.attested_header.beacon.slot < old_update.attested_header.beacon.slot + return new_update.signature_slot < old_update.signature_slot + + +def is_next_sync_committee_known(store: LightClientStore) -> bool: + return store.next_sync_committee != SyncCommittee() + + +def get_safety_threshold(store: LightClientStore) -> uint64: + return max( + store.previous_max_active_participants, + store.current_max_active_participants, + ) // 2 + + +def get_subtree_index(generalized_index: GeneralizedIndex) -> uint64: + return uint64(generalized_index % 2**(floorlog2(generalized_index))) + + +def compute_sync_committee_period_at_slot(slot: Slot) -> uint64: + return compute_sync_committee_period(compute_epoch_at_slot(slot)) + + +def initialize_light_client_store(trusted_block_root: Root, + bootstrap: LightClientBootstrap) -> LightClientStore: + assert is_valid_light_client_header(bootstrap.header) + assert hash_tree_root(bootstrap.header.beacon) == trusted_block_root + + assert is_valid_merkle_branch( + leaf=hash_tree_root(bootstrap.current_sync_committee), + branch=bootstrap.current_sync_committee_branch, + depth=floorlog2(CURRENT_SYNC_COMMITTEE_GINDEX), + index=get_subtree_index(CURRENT_SYNC_COMMITTEE_GINDEX), + root=bootstrap.header.beacon.state_root, + ) + + return LightClientStore( + finalized_header=bootstrap.header, + current_sync_committee=bootstrap.current_sync_committee, + next_sync_committee=SyncCommittee(), + best_valid_update=None, + optimistic_header=bootstrap.header, + previous_max_active_participants=0, + current_max_active_participants=0, + ) + + +def validate_light_client_update(store: LightClientStore, + update: LightClientUpdate, + current_slot: Slot, + genesis_validators_root: Root) -> None: + # Verify sync committee has sufficient participants + sync_aggregate = update.sync_aggregate + assert sum(sync_aggregate.sync_committee_bits) >= MIN_SYNC_COMMITTEE_PARTICIPANTS + + # Verify update does not skip a sync committee period + assert is_valid_light_client_header(update.attested_header) + update_attested_slot = update.attested_header.beacon.slot + update_finalized_slot = update.finalized_header.beacon.slot + assert current_slot >= update.signature_slot > update_attested_slot >= update_finalized_slot + store_period = compute_sync_committee_period_at_slot(store.finalized_header.beacon.slot) + update_signature_period = compute_sync_committee_period_at_slot(update.signature_slot) + if is_next_sync_committee_known(store): + assert update_signature_period in (store_period, store_period + 1) + else: + assert update_signature_period == store_period + + # Verify update is relevant + update_attested_period = compute_sync_committee_period_at_slot(update_attested_slot) + update_has_next_sync_committee = not is_next_sync_committee_known(store) and ( + is_sync_committee_update(update) and update_attested_period == store_period + ) + assert ( + update_attested_slot > store.finalized_header.beacon.slot + or update_has_next_sync_committee + ) + + # Verify that the `finality_branch`, if present, confirms `finalized_header` + # to match the finalized checkpoint root saved in the state of `attested_header`. + # Note that the genesis finalized checkpoint root is represented as a zero hash. + if not is_finality_update(update): + assert update.finalized_header == LightClientHeader() + else: + if update_finalized_slot == GENESIS_SLOT: + assert update.finalized_header == LightClientHeader() + finalized_root = Bytes32() + else: + assert is_valid_light_client_header(update.finalized_header) + finalized_root = hash_tree_root(update.finalized_header.beacon) + assert is_valid_merkle_branch( + leaf=finalized_root, + branch=update.finality_branch, + depth=floorlog2(FINALIZED_ROOT_GINDEX), + index=get_subtree_index(FINALIZED_ROOT_GINDEX), + root=update.attested_header.beacon.state_root, + ) + + # Verify that the `next_sync_committee`, if present, actually is the next sync committee saved in the + # state of the `attested_header` + if not is_sync_committee_update(update): + assert update.next_sync_committee == SyncCommittee() + else: + if update_attested_period == store_period and is_next_sync_committee_known(store): + assert update.next_sync_committee == store.next_sync_committee + assert is_valid_merkle_branch( + leaf=hash_tree_root(update.next_sync_committee), + branch=update.next_sync_committee_branch, + depth=floorlog2(NEXT_SYNC_COMMITTEE_GINDEX), + index=get_subtree_index(NEXT_SYNC_COMMITTEE_GINDEX), + root=update.attested_header.beacon.state_root, + ) + + # Verify sync committee aggregate signature + if update_signature_period == store_period: + sync_committee = store.current_sync_committee + else: + sync_committee = store.next_sync_committee + participant_pubkeys = [ + pubkey for (bit, pubkey) in zip(sync_aggregate.sync_committee_bits, sync_committee.pubkeys) + if bit + ] + fork_version_slot = max(update.signature_slot, Slot(1)) - Slot(1) + fork_version = compute_fork_version(compute_epoch_at_slot(fork_version_slot)) + domain = compute_domain(DOMAIN_SYNC_COMMITTEE, fork_version, genesis_validators_root) + signing_root = compute_signing_root(update.attested_header.beacon, domain) + assert bls.FastAggregateVerify(participant_pubkeys, signing_root, sync_aggregate.sync_committee_signature) + + +def apply_light_client_update(store: LightClientStore, update: LightClientUpdate) -> None: + store_period = compute_sync_committee_period_at_slot(store.finalized_header.beacon.slot) + update_finalized_period = compute_sync_committee_period_at_slot(update.finalized_header.beacon.slot) + if not is_next_sync_committee_known(store): + assert update_finalized_period == store_period + store.next_sync_committee = update.next_sync_committee + elif update_finalized_period == store_period + 1: + store.current_sync_committee = store.next_sync_committee + store.next_sync_committee = update.next_sync_committee + store.previous_max_active_participants = store.current_max_active_participants + store.current_max_active_participants = 0 + if update.finalized_header.beacon.slot > store.finalized_header.beacon.slot: + store.finalized_header = update.finalized_header + if store.finalized_header.beacon.slot > store.optimistic_header.beacon.slot: + store.optimistic_header = store.finalized_header + + +def process_light_client_store_force_update(store: LightClientStore, current_slot: Slot) -> None: + if ( + current_slot > store.finalized_header.beacon.slot + UPDATE_TIMEOUT + and store.best_valid_update is not None + ): + # Forced best update when the update timeout has elapsed. + # Because the apply logic waits for `finalized_header.beacon.slot` to indicate sync committee finality, + # the `attested_header` may be treated as `finalized_header` in extended periods of non-finality + # to guarantee progression into later sync committee periods according to `is_better_update`. + if store.best_valid_update.finalized_header.beacon.slot <= store.finalized_header.beacon.slot: + store.best_valid_update.finalized_header = store.best_valid_update.attested_header + apply_light_client_update(store, store.best_valid_update) + store.best_valid_update = None + + +def process_light_client_update(store: LightClientStore, + update: LightClientUpdate, + current_slot: Slot, + genesis_validators_root: Root) -> None: + validate_light_client_update(store, update, current_slot, genesis_validators_root) + + sync_committee_bits = update.sync_aggregate.sync_committee_bits + + # Update the best update in case we have to force-update to it if the timeout elapses + if ( + store.best_valid_update is None + or is_better_update(update, store.best_valid_update) + ): + store.best_valid_update = update + + # Track the maximum number of active participants in the committee signatures + store.current_max_active_participants = max( + store.current_max_active_participants, + sum(sync_committee_bits), + ) + + # Update the optimistic header + if ( + sum(sync_committee_bits) > get_safety_threshold(store) + and update.attested_header.beacon.slot > store.optimistic_header.beacon.slot + ): + store.optimistic_header = update.attested_header + + # Update finalized header + update_has_finalized_next_sync_committee = ( + not is_next_sync_committee_known(store) + and is_sync_committee_update(update) and is_finality_update(update) and ( + compute_sync_committee_period_at_slot(update.finalized_header.beacon.slot) + == compute_sync_committee_period_at_slot(update.attested_header.beacon.slot) + ) + ) + if ( + sum(sync_committee_bits) * 3 >= len(sync_committee_bits) * 2 + and ( + update.finalized_header.beacon.slot > store.finalized_header.beacon.slot + or update_has_finalized_next_sync_committee + ) + ): + # Normal update through 2/3 threshold + apply_light_client_update(store, update) + store.best_valid_update = None + + +def process_light_client_finality_update(store: LightClientStore, + finality_update: LightClientFinalityUpdate, + current_slot: Slot, + genesis_validators_root: Root) -> None: + update = LightClientUpdate( + attested_header=finality_update.attested_header, + next_sync_committee=SyncCommittee(), + next_sync_committee_branch=NextSyncCommitteeBranch(), + finalized_header=finality_update.finalized_header, + finality_branch=finality_update.finality_branch, + sync_aggregate=finality_update.sync_aggregate, + signature_slot=finality_update.signature_slot, + ) + process_light_client_update(store, update, current_slot, genesis_validators_root) + + +def process_light_client_optimistic_update(store: LightClientStore, + optimistic_update: LightClientOptimisticUpdate, + current_slot: Slot, + genesis_validators_root: Root) -> None: + update = LightClientUpdate( + attested_header=optimistic_update.attested_header, + next_sync_committee=SyncCommittee(), + next_sync_committee_branch=NextSyncCommitteeBranch(), + finalized_header=LightClientHeader(), + finality_branch=FinalityBranch(), + sync_aggregate=optimistic_update.sync_aggregate, + signature_slot=optimistic_update.signature_slot, + ) + process_light_client_update(store, update, current_slot, genesis_validators_root) + + +def block_to_light_client_header(block: SignedBeaconBlock) -> LightClientHeader: + epoch = compute_epoch_at_slot(block.message.slot) + + if epoch >= config.CAPELLA_FORK_EPOCH: + payload = block.message.body.execution_payload + execution_header = ExecutionPayloadHeader( + parent_hash=payload.parent_hash, + fee_recipient=payload.fee_recipient, + state_root=payload.state_root, + receipts_root=payload.receipts_root, + logs_bloom=payload.logs_bloom, + prev_randao=payload.prev_randao, + block_number=payload.block_number, + gas_limit=payload.gas_limit, + gas_used=payload.gas_used, + timestamp=payload.timestamp, + extra_data=payload.extra_data, + base_fee_per_gas=payload.base_fee_per_gas, + block_hash=payload.block_hash, + transactions_root=hash_tree_root(payload.transactions), + withdrawals_root=hash_tree_root(payload.withdrawals), + ) + + # [New in Deneb:EIP4844] + if epoch >= config.DENEB_FORK_EPOCH: + execution_header.blob_gas_used = payload.blob_gas_used + execution_header.excess_blob_gas = payload.excess_blob_gas + + execution_branch = ExecutionBranch( + compute_merkle_proof(block.message.body, EXECUTION_PAYLOAD_GINDEX)) + else: + # Note that during fork transitions, `finalized_header` may still point to earlier forks. + # While Bellatrix blocks also contain an `ExecutionPayload` (minus `withdrawals_root`), + # it was not included in the corresponding light client data. To ensure compatibility + # with legacy data going through `upgrade_lc_header_to_capella`, leave out execution data. + execution_header = ExecutionPayloadHeader() + execution_branch = ExecutionBranch() + + return LightClientHeader( + beacon=BeaconBlockHeader( + slot=block.message.slot, + proposer_index=block.message.proposer_index, + parent_root=block.message.parent_root, + state_root=block.message.state_root, + body_root=hash_tree_root(block.message.body), + ), + execution=execution_header, + execution_branch=execution_branch, + ) + + +def create_light_client_bootstrap(state: BeaconState, + block: SignedBeaconBlock) -> LightClientBootstrap: + assert compute_epoch_at_slot(state.slot) >= config.ALTAIR_FORK_EPOCH + + assert state.slot == state.latest_block_header.slot + header = state.latest_block_header.copy() + header.state_root = hash_tree_root(state) + assert hash_tree_root(header) == hash_tree_root(block.message) + + return LightClientBootstrap( + header=block_to_light_client_header(block), + current_sync_committee=state.current_sync_committee, + current_sync_committee_branch=CurrentSyncCommitteeBranch( + compute_merkle_proof(state, CURRENT_SYNC_COMMITTEE_GINDEX)), + ) + + +def create_light_client_update(state: BeaconState, + block: SignedBeaconBlock, + attested_state: BeaconState, + attested_block: SignedBeaconBlock, + finalized_block: Optional[SignedBeaconBlock]) -> LightClientUpdate: + assert compute_epoch_at_slot(attested_state.slot) >= config.ALTAIR_FORK_EPOCH + assert sum(block.message.body.sync_aggregate.sync_committee_bits) >= MIN_SYNC_COMMITTEE_PARTICIPANTS + + assert state.slot == state.latest_block_header.slot + header = state.latest_block_header.copy() + header.state_root = hash_tree_root(state) + assert hash_tree_root(header) == hash_tree_root(block.message) + update_signature_period = compute_sync_committee_period_at_slot(block.message.slot) + + assert attested_state.slot == attested_state.latest_block_header.slot + attested_header = attested_state.latest_block_header.copy() + attested_header.state_root = hash_tree_root(attested_state) + assert hash_tree_root(attested_header) == hash_tree_root(attested_block.message) == block.message.parent_root + update_attested_period = compute_sync_committee_period_at_slot(attested_block.message.slot) + + update = LightClientUpdate() + + update.attested_header = block_to_light_client_header(attested_block) + + # `next_sync_committee` is only useful if the message is signed by the current sync committee + if update_attested_period == update_signature_period: + update.next_sync_committee = attested_state.next_sync_committee + update.next_sync_committee_branch = NextSyncCommitteeBranch( + compute_merkle_proof(attested_state, NEXT_SYNC_COMMITTEE_GINDEX)) + + # Indicate finality whenever possible + if finalized_block is not None: + if finalized_block.message.slot != GENESIS_SLOT: + update.finalized_header = block_to_light_client_header(finalized_block) + assert hash_tree_root(update.finalized_header.beacon) == attested_state.finalized_checkpoint.root + else: + assert attested_state.finalized_checkpoint.root == Bytes32() + update.finality_branch = FinalityBranch( + compute_merkle_proof(attested_state, FINALIZED_ROOT_GINDEX)) + + update.sync_aggregate = block.message.body.sync_aggregate + update.signature_slot = block.message.slot + + return update + + +def create_light_client_finality_update(update: LightClientUpdate) -> LightClientFinalityUpdate: + return LightClientFinalityUpdate( + attested_header=update.attested_header, + finalized_header=update.finalized_header, + finality_branch=update.finality_branch, + sync_aggregate=update.sync_aggregate, + signature_slot=update.signature_slot, + ) + + +def create_light_client_optimistic_update(update: LightClientUpdate) -> LightClientOptimisticUpdate: + return LightClientOptimisticUpdate( + attested_header=update.attested_header, + sync_aggregate=update.sync_aggregate, + signature_slot=update.signature_slot, + ) + + +def is_merge_transition_complete(state: BeaconState) -> bool: + return state.latest_execution_payload_header != ExecutionPayloadHeader() + + +def is_merge_transition_block(state: BeaconState, body: BeaconBlockBody) -> bool: + return not is_merge_transition_complete(state) and body.execution_payload != ExecutionPayload() + + +def is_execution_enabled(state: BeaconState, body: BeaconBlockBody) -> bool: + return is_merge_transition_block(state, body) or is_merge_transition_complete(state) + + +def compute_timestamp_at_slot(state: BeaconState, slot: Slot) -> uint64: + slots_since_genesis = slot - GENESIS_SLOT + return uint64(state.genesis_time + slots_since_genesis * config.SECONDS_PER_SLOT) + + +def process_execution_payload(state: BeaconState, body: BeaconBlockBody, execution_engine: ExecutionEngine) -> None: + payload = body.execution_payload + + # Verify consistency of the parent hash with respect to the previous execution payload header + assert payload.parent_hash == state.latest_execution_payload_header.block_hash + # Verify prev_randao + assert payload.prev_randao == get_randao_mix(state, get_current_epoch(state)) + # Verify timestamp + assert payload.timestamp == compute_timestamp_at_slot(state, state.slot) + + # [New in Deneb:EIP4844] Verify commitments are under limit + assert len(body.blob_kzg_commitments) <= MAX_BLOBS_PER_BLOCK + + # Verify the execution payload is valid + # [Modified in Deneb:EIP4844] Pass `versioned_hashes` to Execution Engine + # [Modified in Deneb:EIP4788] Pass `parent_beacon_block_root` to Execution Engine + versioned_hashes = [kzg_commitment_to_versioned_hash(commitment) for commitment in body.blob_kzg_commitments] + assert execution_engine.verify_and_notify_new_payload( + NewPayloadRequest( + execution_payload=payload, + versioned_hashes=versioned_hashes, + parent_beacon_block_root=state.latest_block_header.parent_root, + ) + ) + + # Cache execution payload header + state.latest_execution_payload_header = ExecutionPayloadHeader( + parent_hash=payload.parent_hash, + fee_recipient=payload.fee_recipient, + state_root=payload.state_root, + receipts_root=payload.receipts_root, + logs_bloom=payload.logs_bloom, + prev_randao=payload.prev_randao, + block_number=payload.block_number, + gas_limit=payload.gas_limit, + gas_used=payload.gas_used, + timestamp=payload.timestamp, + extra_data=payload.extra_data, + base_fee_per_gas=payload.base_fee_per_gas, + block_hash=payload.block_hash, + transactions_root=hash_tree_root(payload.transactions), + withdrawals_root=hash_tree_root(payload.withdrawals), + blob_gas_used=payload.blob_gas_used, # [New in Deneb:EIP4844] + excess_blob_gas=payload.excess_blob_gas, # [New in Deneb:EIP4844] + ) + + +def should_override_forkchoice_update(store: Store, head_root: Root) -> bool: + head_block = store.blocks[head_root] + parent_root = head_block.parent_root + parent_block = store.blocks[parent_root] + current_slot = get_current_slot(store) + proposal_slot = head_block.slot + Slot(1) + + # Only re-org the head_block block if it arrived later than the attestation deadline. + head_late = is_head_late(store, head_root) + + # Shuffling stable. + shuffling_stable = is_shuffling_stable(proposal_slot) + + # FFG information of the new head_block will be competitive with the current head. + ffg_competitive = is_ffg_competitive(store, head_root, parent_root) + + # Do not re-org if the chain is not finalizing with acceptable frequency. + finalization_ok = is_finalization_ok(store, proposal_slot) + + # Only suppress the fork choice update if we are confident that we will propose the next block. + parent_state_advanced = store.block_states[parent_root].copy() + process_slots(parent_state_advanced, proposal_slot) + proposer_index = get_beacon_proposer_index(parent_state_advanced) + proposing_reorg_slot = validator_is_connected(proposer_index) + + # Single slot re-org. + parent_slot_ok = parent_block.slot + 1 == head_block.slot + proposing_on_time = is_proposing_on_time(store) + + # Note that this condition is different from `get_proposer_head` + current_time_ok = (head_block.slot == current_slot + or (proposal_slot == current_slot and proposing_on_time)) + single_slot_reorg = parent_slot_ok and current_time_ok + + # Check the head weight only if the attestations from the head slot have already been applied. + # Implementations may want to do this in different ways, e.g. by advancing + # `store.time` early, or by counting queued attestations during the head block's slot. + if current_slot > head_block.slot: + head_weak = is_head_weak(store, head_root) + parent_strong = is_parent_strong(store, parent_root) + else: + head_weak = True + parent_strong = True + + return all([head_late, shuffling_stable, ffg_competitive, finalization_ok, + proposing_reorg_slot, single_slot_reorg, + head_weak, parent_strong]) + + +def is_valid_terminal_pow_block(block: PowBlock, parent: PowBlock) -> bool: + is_total_difficulty_reached = block.total_difficulty >= config.TERMINAL_TOTAL_DIFFICULTY + is_parent_total_difficulty_valid = parent.total_difficulty < config.TERMINAL_TOTAL_DIFFICULTY + return is_total_difficulty_reached and is_parent_total_difficulty_valid + + +def validate_merge_block(block: BeaconBlock) -> None: + """ + Check the parent PoW block of execution payload is a valid terminal PoW block. + + Note: Unavailable PoW block(s) may later become available, + and a client software MAY delay a call to ``validate_merge_block`` + until the PoW block(s) become available. + """ + if config.TERMINAL_BLOCK_HASH != Hash32(): + # If `config.TERMINAL_BLOCK_HASH` is used as an override, the activation epoch must be reached. + assert compute_epoch_at_slot(block.slot) >= config.TERMINAL_BLOCK_HASH_ACTIVATION_EPOCH + assert block.body.execution_payload.parent_hash == config.TERMINAL_BLOCK_HASH + return + + pow_block = get_pow_block(block.body.execution_payload.parent_hash) + # Check if `pow_block` is available + assert pow_block is not None + pow_parent = get_pow_block(pow_block.parent_hash) + # Check if `pow_parent` is available + assert pow_parent is not None + # Check if `pow_block` is a valid terminal PoW block + assert is_valid_terminal_pow_block(pow_block, pow_parent) + + +def get_pow_block_at_terminal_total_difficulty(pow_chain: Dict[Hash32, PowBlock]) -> Optional[PowBlock]: + # `pow_chain` abstractly represents all blocks in the PoW chain + for block in pow_chain.values(): + block_reached_ttd = block.total_difficulty >= config.TERMINAL_TOTAL_DIFFICULTY + if block_reached_ttd: + # If genesis block, no parent exists so reaching TTD alone qualifies as valid terminal block + if block.parent_hash == Hash32(): + return block + parent = pow_chain[block.parent_hash] + parent_reached_ttd = parent.total_difficulty >= config.TERMINAL_TOTAL_DIFFICULTY + if not parent_reached_ttd: + return block + + return None + + +def get_terminal_pow_block(pow_chain: Dict[Hash32, PowBlock]) -> Optional[PowBlock]: + if config.TERMINAL_BLOCK_HASH != Hash32(): + # Terminal block hash override takes precedence over terminal total difficulty + if config.TERMINAL_BLOCK_HASH in pow_chain: + return pow_chain[config.TERMINAL_BLOCK_HASH] + else: + return None + + return get_pow_block_at_terminal_total_difficulty(pow_chain) + + +def prepare_execution_payload(state: BeaconState, + safe_block_hash: Hash32, + finalized_block_hash: Hash32, + suggested_fee_recipient: ExecutionAddress, + execution_engine: ExecutionEngine) -> Optional[PayloadId]: + # Verify consistency of the parent hash with respect to the previous execution payload header + parent_hash = state.latest_execution_payload_header.block_hash + + # Set the forkchoice head and initiate the payload build process + payload_attributes = PayloadAttributes( + timestamp=compute_timestamp_at_slot(state, state.slot), + prev_randao=get_randao_mix(state, get_current_epoch(state)), + suggested_fee_recipient=suggested_fee_recipient, + withdrawals=get_expected_withdrawals(state), + parent_beacon_block_root=hash_tree_root(state.latest_block_header), # [New in Deneb:EIP4788] + ) + return execution_engine.notify_forkchoice_updated( + head_block_hash=parent_hash, + safe_block_hash=safe_block_hash, + finalized_block_hash=finalized_block_hash, + payload_attributes=payload_attributes, + ) + + +def get_execution_payload(payload_id: Optional[PayloadId], execution_engine: ExecutionEngine) -> ExecutionPayload: + if payload_id is None: + # Pre-merge, empty payload + return ExecutionPayload() + else: + return execution_engine.get_payload(payload_id).execution_payload + + +def upgrade_to_bellatrix(pre: altair.BeaconState) -> BeaconState: + epoch = altair.get_current_epoch(pre) + post = BeaconState( + # Versioning + genesis_time=pre.genesis_time, + genesis_validators_root=pre.genesis_validators_root, + slot=pre.slot, + fork=Fork( + previous_version=pre.fork.current_version, + current_version=config.BELLATRIX_FORK_VERSION, + epoch=epoch, + ), + # History + latest_block_header=pre.latest_block_header, + block_roots=pre.block_roots, + state_roots=pre.state_roots, + historical_roots=pre.historical_roots, + # Eth1 + eth1_data=pre.eth1_data, + eth1_data_votes=pre.eth1_data_votes, + eth1_deposit_index=pre.eth1_deposit_index, + # Registry + validators=pre.validators, + balances=pre.balances, + # Randomness + randao_mixes=pre.randao_mixes, + # Slashings + slashings=pre.slashings, + # Participation + previous_epoch_participation=pre.previous_epoch_participation, + current_epoch_participation=pre.current_epoch_participation, + # Finality + justification_bits=pre.justification_bits, + previous_justified_checkpoint=pre.previous_justified_checkpoint, + current_justified_checkpoint=pre.current_justified_checkpoint, + finalized_checkpoint=pre.finalized_checkpoint, + # Inactivity + inactivity_scores=pre.inactivity_scores, + # Sync + current_sync_committee=pre.current_sync_committee, + next_sync_committee=pre.next_sync_committee, + # Execution-layer + latest_execution_payload_header=ExecutionPayloadHeader(), + ) + + return post + + +def is_optimistic(opt_store: OptimisticStore, block: BeaconBlock) -> bool: + return hash_tree_root(block) in opt_store.optimistic_roots + + +def latest_verified_ancestor(opt_store: OptimisticStore, block: BeaconBlock) -> BeaconBlock: + # It is assumed that the `block` parameter is never an INVALIDATED block. + while True: + if not is_optimistic(opt_store, block) or block.parent_root == Root(): + return block + block = opt_store.blocks[block.parent_root] + + +def is_execution_block(block: BeaconBlock) -> bool: + return block.body.execution_payload != ExecutionPayload() + + +def is_optimistic_candidate_block(opt_store: OptimisticStore, current_slot: Slot, block: BeaconBlock) -> bool: + if is_execution_block(opt_store.blocks[block.parent_root]): + return True + + if block.slot + SAFE_SLOTS_TO_IMPORT_OPTIMISTICALLY <= current_slot: + return True + + return False + + +def has_eth1_withdrawal_credential(validator: Validator) -> bool: + """ + Check if ``validator`` has an 0x01 prefixed "eth1" withdrawal credential. + """ + return validator.withdrawal_credentials[:1] == ETH1_ADDRESS_WITHDRAWAL_PREFIX + + +def is_fully_withdrawable_validator(validator: Validator, balance: Gwei, epoch: Epoch) -> bool: + """ + Check if ``validator`` is fully withdrawable. + """ + return ( + has_eth1_withdrawal_credential(validator) + and validator.withdrawable_epoch <= epoch + and balance > 0 + ) + + +def is_partially_withdrawable_validator(validator: Validator, balance: Gwei) -> bool: + """ + Check if ``validator`` is partially withdrawable. + """ + has_max_effective_balance = validator.effective_balance == MAX_EFFECTIVE_BALANCE + has_excess_balance = balance > MAX_EFFECTIVE_BALANCE + return has_eth1_withdrawal_credential(validator) and has_max_effective_balance and has_excess_balance + + +def process_historical_summaries_update(state: BeaconState) -> None: + # Set historical block root accumulator. + next_epoch = Epoch(get_current_epoch(state) + 1) + if next_epoch % (SLOTS_PER_HISTORICAL_ROOT // SLOTS_PER_EPOCH) == 0: + historical_summary = HistoricalSummary( + block_summary_root=hash_tree_root(state.block_roots), + state_summary_root=hash_tree_root(state.state_roots), + ) + state.historical_summaries.append(historical_summary) + + +def get_expected_withdrawals(state: BeaconState) -> Sequence[Withdrawal]: + epoch = get_current_epoch(state) + withdrawal_index = state.next_withdrawal_index + validator_index = state.next_withdrawal_validator_index + withdrawals: List[Withdrawal] = [] + bound = min(len(state.validators), MAX_VALIDATORS_PER_WITHDRAWALS_SWEEP) + for _ in range(bound): + validator = state.validators[validator_index] + balance = state.balances[validator_index] + if is_fully_withdrawable_validator(validator, balance, epoch): + withdrawals.append(Withdrawal( + index=withdrawal_index, + validator_index=validator_index, + address=ExecutionAddress(validator.withdrawal_credentials[12:]), + amount=balance, + )) + withdrawal_index += WithdrawalIndex(1) + elif is_partially_withdrawable_validator(validator, balance): + withdrawals.append(Withdrawal( + index=withdrawal_index, + validator_index=validator_index, + address=ExecutionAddress(validator.withdrawal_credentials[12:]), + amount=balance - MAX_EFFECTIVE_BALANCE, + )) + withdrawal_index += WithdrawalIndex(1) + if len(withdrawals) == MAX_WITHDRAWALS_PER_PAYLOAD: + break + validator_index = ValidatorIndex((validator_index + 1) % len(state.validators)) + return withdrawals + + +def process_withdrawals(state: BeaconState, payload: ExecutionPayload) -> None: + expected_withdrawals = get_expected_withdrawals(state) + assert len(payload.withdrawals) == len(expected_withdrawals) + + for expected_withdrawal, withdrawal in zip(expected_withdrawals, payload.withdrawals): + assert withdrawal == expected_withdrawal + decrease_balance(state, withdrawal.validator_index, withdrawal.amount) + + # Update the next withdrawal index if this block contained withdrawals + if len(expected_withdrawals) != 0: + latest_withdrawal = expected_withdrawals[-1] + state.next_withdrawal_index = WithdrawalIndex(latest_withdrawal.index + 1) + + # Update the next validator index to start the next withdrawal sweep + if len(expected_withdrawals) == MAX_WITHDRAWALS_PER_PAYLOAD: + # Next sweep starts after the latest withdrawal's validator index + next_validator_index = ValidatorIndex((expected_withdrawals[-1].validator_index + 1) % len(state.validators)) + state.next_withdrawal_validator_index = next_validator_index + else: + # Advance sweep by the max length of the sweep if there was not a full set of withdrawals + next_index = state.next_withdrawal_validator_index + MAX_VALIDATORS_PER_WITHDRAWALS_SWEEP + next_validator_index = ValidatorIndex(next_index % len(state.validators)) + state.next_withdrawal_validator_index = next_validator_index + + +def process_bls_to_execution_change(state: BeaconState, + signed_address_change: SignedBLSToExecutionChange) -> None: + address_change = signed_address_change.message + + assert address_change.validator_index < len(state.validators) + + validator = state.validators[address_change.validator_index] + + assert validator.withdrawal_credentials[:1] == BLS_WITHDRAWAL_PREFIX + assert validator.withdrawal_credentials[1:] == hash(address_change.from_bls_pubkey)[1:] + + # Fork-agnostic domain since address changes are valid across forks + domain = compute_domain(DOMAIN_BLS_TO_EXECUTION_CHANGE, genesis_validators_root=state.genesis_validators_root) + signing_root = compute_signing_root(address_change, domain) + assert bls.Verify(address_change.from_bls_pubkey, signing_root, signed_address_change.signature) + + validator.withdrawal_credentials = ( + ETH1_ADDRESS_WITHDRAWAL_PREFIX + + b'\x00' * 11 + + address_change.to_execution_address + ) + + +def upgrade_to_capella(pre: bellatrix.BeaconState) -> BeaconState: + epoch = bellatrix.get_current_epoch(pre) + latest_execution_payload_header = ExecutionPayloadHeader( + parent_hash=pre.latest_execution_payload_header.parent_hash, + fee_recipient=pre.latest_execution_payload_header.fee_recipient, + state_root=pre.latest_execution_payload_header.state_root, + receipts_root=pre.latest_execution_payload_header.receipts_root, + logs_bloom=pre.latest_execution_payload_header.logs_bloom, + prev_randao=pre.latest_execution_payload_header.prev_randao, + block_number=pre.latest_execution_payload_header.block_number, + gas_limit=pre.latest_execution_payload_header.gas_limit, + gas_used=pre.latest_execution_payload_header.gas_used, + timestamp=pre.latest_execution_payload_header.timestamp, + extra_data=pre.latest_execution_payload_header.extra_data, + base_fee_per_gas=pre.latest_execution_payload_header.base_fee_per_gas, + block_hash=pre.latest_execution_payload_header.block_hash, + transactions_root=pre.latest_execution_payload_header.transactions_root, + withdrawals_root=Root(), # [New in Capella] + ) + post = BeaconState( + # Versioning + genesis_time=pre.genesis_time, + genesis_validators_root=pre.genesis_validators_root, + slot=pre.slot, + fork=Fork( + previous_version=pre.fork.current_version, + current_version=config.CAPELLA_FORK_VERSION, + epoch=epoch, + ), + # History + latest_block_header=pre.latest_block_header, + block_roots=pre.block_roots, + state_roots=pre.state_roots, + historical_roots=pre.historical_roots, + # Eth1 + eth1_data=pre.eth1_data, + eth1_data_votes=pre.eth1_data_votes, + eth1_deposit_index=pre.eth1_deposit_index, + # Registry + validators=pre.validators, + balances=pre.balances, + # Randomness + randao_mixes=pre.randao_mixes, + # Slashings + slashings=pre.slashings, + # Participation + previous_epoch_participation=pre.previous_epoch_participation, + current_epoch_participation=pre.current_epoch_participation, + # Finality + justification_bits=pre.justification_bits, + previous_justified_checkpoint=pre.previous_justified_checkpoint, + current_justified_checkpoint=pre.current_justified_checkpoint, + finalized_checkpoint=pre.finalized_checkpoint, + # Inactivity + inactivity_scores=pre.inactivity_scores, + # Sync + current_sync_committee=pre.current_sync_committee, + next_sync_committee=pre.next_sync_committee, + # Execution-layer + latest_execution_payload_header=latest_execution_payload_header, + # Withdrawals + next_withdrawal_index=WithdrawalIndex(0), # [New in Capella] + next_withdrawal_validator_index=ValidatorIndex(0), # [New in Capella] + # Deep history valid from Capella onwards + historical_summaries=List[HistoricalSummary, HISTORICAL_ROOTS_LIMIT]([]), # [New in Capella] + ) + + return post + + +def get_lc_execution_root(header: LightClientHeader) -> Root: + epoch = compute_epoch_at_slot(header.beacon.slot) + + # [New in Deneb] + if epoch >= config.DENEB_FORK_EPOCH: + return hash_tree_root(header.execution) + + # [Modified in Deneb] + if epoch >= config.CAPELLA_FORK_EPOCH: + execution_header = capella.ExecutionPayloadHeader( + parent_hash=header.execution.parent_hash, + fee_recipient=header.execution.fee_recipient, + state_root=header.execution.state_root, + receipts_root=header.execution.receipts_root, + logs_bloom=header.execution.logs_bloom, + prev_randao=header.execution.prev_randao, + block_number=header.execution.block_number, + gas_limit=header.execution.gas_limit, + gas_used=header.execution.gas_used, + timestamp=header.execution.timestamp, + extra_data=header.execution.extra_data, + base_fee_per_gas=header.execution.base_fee_per_gas, + block_hash=header.execution.block_hash, + transactions_root=header.execution.transactions_root, + withdrawals_root=header.execution.withdrawals_root, + ) + return hash_tree_root(execution_header) + + return Root() + + +def upgrade_lc_header_to_capella(pre: bellatrix.LightClientHeader) -> LightClientHeader: + return LightClientHeader( + beacon=pre.beacon, + ) + + +def upgrade_lc_bootstrap_to_capella(pre: bellatrix.LightClientBootstrap) -> LightClientBootstrap: + return LightClientBootstrap( + header=upgrade_lc_header_to_capella(pre.header), + current_sync_committee=pre.current_sync_committee, + current_sync_committee_branch=pre.current_sync_committee_branch, + ) + + +def upgrade_lc_update_to_capella(pre: bellatrix.LightClientUpdate) -> LightClientUpdate: + return LightClientUpdate( + attested_header=upgrade_lc_header_to_capella(pre.attested_header), + next_sync_committee=pre.next_sync_committee, + next_sync_committee_branch=pre.next_sync_committee_branch, + finalized_header=upgrade_lc_header_to_capella(pre.finalized_header), + finality_branch=pre.finality_branch, + sync_aggregate=pre.sync_aggregate, + signature_slot=pre.signature_slot, + ) + + +def upgrade_lc_finality_update_to_capella(pre: bellatrix.LightClientFinalityUpdate) -> LightClientFinalityUpdate: + return LightClientFinalityUpdate( + attested_header=upgrade_lc_header_to_capella(pre.attested_header), + finalized_header=upgrade_lc_header_to_capella(pre.finalized_header), + finality_branch=pre.finality_branch, + sync_aggregate=pre.sync_aggregate, + signature_slot=pre.signature_slot, + ) + + +def upgrade_lc_optimistic_update_to_capella(pre: bellatrix.LightClientOptimisticUpdate) -> LightClientOptimisticUpdate: + return LightClientOptimisticUpdate( + attested_header=upgrade_lc_header_to_capella(pre.attested_header), + sync_aggregate=pre.sync_aggregate, + signature_slot=pre.signature_slot, + ) + + +def upgrade_lc_store_to_capella(pre: bellatrix.LightClientStore) -> LightClientStore: + if pre.best_valid_update is None: + best_valid_update = None + else: + best_valid_update = upgrade_lc_update_to_capella(pre.best_valid_update) + return LightClientStore( + finalized_header=upgrade_lc_header_to_capella(pre.finalized_header), + current_sync_committee=pre.current_sync_committee, + next_sync_committee=pre.next_sync_committee, + best_valid_update=best_valid_update, + optimistic_header=upgrade_lc_header_to_capella(pre.optimistic_header), + previous_max_active_participants=pre.previous_max_active_participants, + current_max_active_participants=pre.current_max_active_participants, + ) + + +def is_power_of_two(value: int) -> bool: + """ + Check if ``value`` is a power of two integer. + """ + return (value > 0) and (value & (value - 1) == 0) + + +def reverse_bits(n: int, order: int) -> int: + """ + Reverse the bit order of an integer ``n``. + """ + assert is_power_of_two(order) + # Convert n to binary with the same number of bits as "order" - 1, then reverse its bit order + return int(('{:0' + str(order.bit_length() - 1) + 'b}').format(n)[::-1], 2) + + +def bit_reversal_permutation(sequence: Sequence[T]) -> Sequence[T]: + """ + Return a copy with bit-reversed permutation. The permutation is an involution (inverts itself). + + The input and output are a sequence of generic type ``T`` objects. + """ + return [sequence[reverse_bits(i, len(sequence))] for i in range(len(sequence))] + + +def hash_to_bls_field(data: bytes) -> BLSFieldElement: + """ + Hash ``data`` and convert the output to a BLS scalar field element. + The output is not uniform over the BLS field. + """ + hashed_data = hash(data) + return BLSFieldElement(int.from_bytes(hashed_data, KZG_ENDIANNESS) % BLS_MODULUS) + + +def bytes_to_bls_field(b: Bytes32) -> BLSFieldElement: + """ + Convert untrusted bytes to a trusted and validated BLS scalar field element. + This function does not accept inputs greater than the BLS modulus. + """ + field_element = int.from_bytes(b, KZG_ENDIANNESS) + assert field_element < BLS_MODULUS + return BLSFieldElement(field_element) + + +def validate_kzg_g1(b: Bytes48) -> None: + """ + Perform BLS validation required by the types `KZGProof` and `KZGCommitment`. + """ + if b == G1_POINT_AT_INFINITY: + return + + assert bls.KeyValidate(b) + + +def bytes_to_kzg_commitment(b: Bytes48) -> KZGCommitment: + """ + Convert untrusted bytes into a trusted and validated KZGCommitment. + """ + validate_kzg_g1(b) + return KZGCommitment(b) + + +def bytes_to_kzg_proof(b: Bytes48) -> KZGProof: + """ + Convert untrusted bytes into a trusted and validated KZGProof. + """ + validate_kzg_g1(b) + return KZGProof(b) + + +def blob_to_polynomial(blob: Blob) -> Polynomial: + """ + Convert a blob to list of BLS field scalars. + """ + polynomial = Polynomial() + for i in range(FIELD_ELEMENTS_PER_BLOB): + value = bytes_to_bls_field(blob[i * BYTES_PER_FIELD_ELEMENT: (i + 1) * BYTES_PER_FIELD_ELEMENT]) + polynomial[i] = value + return polynomial + + +def compute_challenge(blob: Blob, + commitment: KZGCommitment) -> BLSFieldElement: + """ + Return the Fiat-Shamir challenge required by the rest of the protocol. + """ + + # Append the degree of the polynomial as a domain separator + degree_poly = int.to_bytes(FIELD_ELEMENTS_PER_BLOB, 16, KZG_ENDIANNESS) + data = FIAT_SHAMIR_PROTOCOL_DOMAIN + degree_poly + + data += blob + data += commitment + + # Transcript has been prepared: time to create the challenge + return hash_to_bls_field(data) + + +def bls_modular_inverse(x: BLSFieldElement) -> BLSFieldElement: + """ + Compute the modular inverse of x (for x != 0) + i.e. return y such that x * y % BLS_MODULUS == 1 + """ + assert (int(x) % BLS_MODULUS) != 0 + return BLSFieldElement(pow(x, -1, BLS_MODULUS)) + + +def div(x: BLSFieldElement, y: BLSFieldElement) -> BLSFieldElement: + """ + Divide two field elements: ``x`` by `y``. + """ + return BLSFieldElement((int(x) * int(bls_modular_inverse(y))) % BLS_MODULUS) + + +def g1_lincomb(points: Sequence[KZGCommitment], scalars: Sequence[BLSFieldElement]) -> KZGCommitment: + """ + BLS multiscalar multiplication. This function can be optimized using Pippenger's algorithm and variants. + """ + assert len(points) == len(scalars) + result = bls.Z1() + for x, a in zip(points, scalars): + result = bls.add(result, bls.multiply(bls.bytes48_to_G1(x), a)) + return KZGCommitment(bls.G1_to_bytes48(result)) + + +def compute_powers(x: BLSFieldElement, n: uint64) -> Sequence[BLSFieldElement]: + """ + Return ``x`` to power of [0, n-1], if n > 0. When n==0, an empty array is returned. + """ + current_power = 1 + powers = [] + for _ in range(n): + powers.append(BLSFieldElement(current_power)) + current_power = current_power * int(x) % BLS_MODULUS + return powers + + +def compute_roots_of_unity(order: uint64) -> Sequence[BLSFieldElement]: + """ + Return roots of unity of ``order``. + """ + assert (BLS_MODULUS - 1) % int(order) == 0 + root_of_unity = BLSFieldElement(pow(PRIMITIVE_ROOT_OF_UNITY, (BLS_MODULUS - 1) // int(order), BLS_MODULUS)) + return compute_powers(root_of_unity, order) + + +def evaluate_polynomial_in_evaluation_form(polynomial: Polynomial, + z: BLSFieldElement) -> BLSFieldElement: + """ + Evaluate a polynomial (in evaluation form) at an arbitrary point ``z``. + - When ``z`` is in the domain, the evaluation can be found by indexing the polynomial at the + position that ``z`` is in the domain. + - When ``z`` is not in the domain, the barycentric formula is used: + f(z) = (z**WIDTH - 1) / WIDTH * sum_(i=0)^WIDTH (f(DOMAIN[i]) * DOMAIN[i]) / (z - DOMAIN[i]) + """ + width = len(polynomial) + assert width == FIELD_ELEMENTS_PER_BLOB + inverse_width = bls_modular_inverse(BLSFieldElement(width)) + + roots_of_unity_brp = bit_reversal_permutation(compute_roots_of_unity(FIELD_ELEMENTS_PER_BLOB)) + + # If we are asked to evaluate within the domain, we already know the answer + if z in roots_of_unity_brp: + eval_index = roots_of_unity_brp.index(z) + return BLSFieldElement(polynomial[eval_index]) + + result = 0 + for i in range(width): + a = BLSFieldElement(int(polynomial[i]) * int(roots_of_unity_brp[i]) % BLS_MODULUS) + b = BLSFieldElement((int(BLS_MODULUS) + int(z) - int(roots_of_unity_brp[i])) % BLS_MODULUS) + result += int(div(a, b) % BLS_MODULUS) + result = result * int(BLS_MODULUS + pow(z, width, BLS_MODULUS) - 1) * int(inverse_width) + return BLSFieldElement(result % BLS_MODULUS) + + +def blob_to_kzg_commitment(blob: Blob) -> KZGCommitment: + """ + Public method. + """ + assert len(blob) == BYTES_PER_BLOB + return g1_lincomb(bit_reversal_permutation(KZG_SETUP_G1_LAGRANGE), blob_to_polynomial(blob)) + + +def verify_kzg_proof(commitment_bytes: Bytes48, + z_bytes: Bytes32, + y_bytes: Bytes32, + proof_bytes: Bytes48) -> bool: + """ + Verify KZG proof that ``p(z) == y`` where ``p(z)`` is the polynomial represented by ``polynomial_kzg``. + Receives inputs as bytes. + Public method. + """ + assert len(commitment_bytes) == BYTES_PER_COMMITMENT + assert len(z_bytes) == BYTES_PER_FIELD_ELEMENT + assert len(y_bytes) == BYTES_PER_FIELD_ELEMENT + assert len(proof_bytes) == BYTES_PER_PROOF + + return verify_kzg_proof_impl(bytes_to_kzg_commitment(commitment_bytes), + bytes_to_bls_field(z_bytes), + bytes_to_bls_field(y_bytes), + bytes_to_kzg_proof(proof_bytes)) + + +def verify_kzg_proof_impl(commitment: KZGCommitment, + z: BLSFieldElement, + y: BLSFieldElement, + proof: KZGProof) -> bool: + """ + Verify KZG proof that ``p(z) == y`` where ``p(z)`` is the polynomial represented by ``polynomial_kzg``. + """ + # Verify: P - y = Q * (X - z) + X_minus_z = bls.add( + bls.bytes96_to_G2(KZG_SETUP_G2_MONOMIAL[1]), + bls.multiply(bls.G2(), (BLS_MODULUS - z) % BLS_MODULUS), + ) + P_minus_y = bls.add(bls.bytes48_to_G1(commitment), bls.multiply(bls.G1(), (BLS_MODULUS - y) % BLS_MODULUS)) + return bls.pairing_check([ + [P_minus_y, bls.neg(bls.G2())], + [bls.bytes48_to_G1(proof), X_minus_z] + ]) + + +def verify_kzg_proof_batch(commitments: Sequence[KZGCommitment], + zs: Sequence[BLSFieldElement], + ys: Sequence[BLSFieldElement], + proofs: Sequence[KZGProof]) -> bool: + """ + Verify multiple KZG proofs efficiently. + """ + + assert len(commitments) == len(zs) == len(ys) == len(proofs) + + # Compute a random challenge. Note that it does not have to be computed from a hash, + # r just has to be random. + degree_poly = int.to_bytes(FIELD_ELEMENTS_PER_BLOB, 8, KZG_ENDIANNESS) + num_commitments = int.to_bytes(len(commitments), 8, KZG_ENDIANNESS) + data = RANDOM_CHALLENGE_KZG_BATCH_DOMAIN + degree_poly + num_commitments + + # Append all inputs to the transcript before we hash + for commitment, z, y, proof in zip(commitments, zs, ys, proofs): + data += commitment \ + + int.to_bytes(z, BYTES_PER_FIELD_ELEMENT, KZG_ENDIANNESS) \ + + int.to_bytes(y, BYTES_PER_FIELD_ELEMENT, KZG_ENDIANNESS) \ + + proof + + r = hash_to_bls_field(data) + r_powers = compute_powers(r, len(commitments)) + + # Verify: e(sum r^i proof_i, [s]) == + # e(sum r^i (commitment_i - [y_i]) + sum r^i z_i proof_i, [1]) + proof_lincomb = g1_lincomb(proofs, r_powers) + proof_z_lincomb = g1_lincomb( + proofs, + [BLSFieldElement((int(z) * int(r_power)) % BLS_MODULUS) for z, r_power in zip(zs, r_powers)], + ) + C_minus_ys = [bls.add(bls.bytes48_to_G1(commitment), bls.multiply(bls.G1(), (BLS_MODULUS - y) % BLS_MODULUS)) + for commitment, y in zip(commitments, ys)] + C_minus_y_as_KZGCommitments = [KZGCommitment(bls.G1_to_bytes48(x)) for x in C_minus_ys] + C_minus_y_lincomb = g1_lincomb(C_minus_y_as_KZGCommitments, r_powers) + + return bls.pairing_check([ + [bls.bytes48_to_G1(proof_lincomb), bls.neg(bls.bytes96_to_G2(KZG_SETUP_G2_MONOMIAL[1]))], + [bls.add(bls.bytes48_to_G1(C_minus_y_lincomb), bls.bytes48_to_G1(proof_z_lincomb)), bls.G2()] + ]) + + +def compute_kzg_proof(blob: Blob, z_bytes: Bytes32) -> Tuple[KZGProof, Bytes32]: + """ + Compute KZG proof at point `z` for the polynomial represented by `blob`. + Do this by computing the quotient polynomial in evaluation form: q(x) = (p(x) - p(z)) / (x - z). + Public method. + """ + assert len(blob) == BYTES_PER_BLOB + assert len(z_bytes) == BYTES_PER_FIELD_ELEMENT + polynomial = blob_to_polynomial(blob) + proof, y = compute_kzg_proof_impl(polynomial, bytes_to_bls_field(z_bytes)) + return proof, y.to_bytes(BYTES_PER_FIELD_ELEMENT, KZG_ENDIANNESS) + + +def compute_quotient_eval_within_domain(z: BLSFieldElement, + polynomial: Polynomial, + y: BLSFieldElement + ) -> BLSFieldElement: + """ + Given `y == p(z)` for a polynomial `p(x)`, compute `q(z)`: the KZG quotient polynomial evaluated at `z` for the + special case where `z` is in roots of unity. + + For more details, read https://dankradfeist.de/ethereum/2021/06/18/pcs-multiproofs.html section "Dividing + when one of the points is zero". The code below computes q(x_m) for the roots of unity special case. + """ + roots_of_unity_brp = bit_reversal_permutation(compute_roots_of_unity(FIELD_ELEMENTS_PER_BLOB)) + result = 0 + for i, omega_i in enumerate(roots_of_unity_brp): + if omega_i == z: # skip the evaluation point in the sum + continue + + f_i = int(BLS_MODULUS) + int(polynomial[i]) - int(y) % BLS_MODULUS + numerator = f_i * int(omega_i) % BLS_MODULUS + denominator = int(z) * (int(BLS_MODULUS) + int(z) - int(omega_i)) % BLS_MODULUS + result += int(div(BLSFieldElement(numerator), BLSFieldElement(denominator))) + + return BLSFieldElement(result % BLS_MODULUS) + + +def compute_kzg_proof_impl(polynomial: Polynomial, z: BLSFieldElement) -> Tuple[KZGProof, BLSFieldElement]: + """ + Helper function for `compute_kzg_proof()` and `compute_blob_kzg_proof()`. + """ + roots_of_unity_brp = bit_reversal_permutation(compute_roots_of_unity(FIELD_ELEMENTS_PER_BLOB)) + + # For all x_i, compute p(x_i) - p(z) + y = evaluate_polynomial_in_evaluation_form(polynomial, z) + polynomial_shifted = [BLSFieldElement((int(p) - int(y)) % BLS_MODULUS) for p in polynomial] + + # For all x_i, compute (x_i - z) + denominator_poly = [BLSFieldElement((int(x) - int(z)) % BLS_MODULUS) + for x in roots_of_unity_brp] + + # Compute the quotient polynomial directly in evaluation form + quotient_polynomial = [BLSFieldElement(0)] * FIELD_ELEMENTS_PER_BLOB + for i, (a, b) in enumerate(zip(polynomial_shifted, denominator_poly)): + if b == 0: + # The denominator is zero hence `z` is a root of unity: we must handle it as a special case + quotient_polynomial[i] = compute_quotient_eval_within_domain(roots_of_unity_brp[i], polynomial, y) + else: + # Compute: q(x_i) = (p(x_i) - p(z)) / (x_i - z). + quotient_polynomial[i] = div(a, b) + + return KZGProof(g1_lincomb(bit_reversal_permutation(KZG_SETUP_G1_LAGRANGE), quotient_polynomial)), y + + +def compute_blob_kzg_proof(blob: Blob, commitment_bytes: Bytes48) -> KZGProof: + """ + Given a blob, return the KZG proof that is used to verify it against the commitment. + This method does not verify that the commitment is correct with respect to `blob`. + Public method. + """ + assert len(blob) == BYTES_PER_BLOB + assert len(commitment_bytes) == BYTES_PER_COMMITMENT + commitment = bytes_to_kzg_commitment(commitment_bytes) + polynomial = blob_to_polynomial(blob) + evaluation_challenge = compute_challenge(blob, commitment) + proof, _ = compute_kzg_proof_impl(polynomial, evaluation_challenge) + return proof + + +def verify_blob_kzg_proof(blob: Blob, + commitment_bytes: Bytes48, + proof_bytes: Bytes48) -> bool: + """ + Given a blob and a KZG proof, verify that the blob data corresponds to the provided commitment. + + Public method. + """ + assert len(blob) == BYTES_PER_BLOB + assert len(commitment_bytes) == BYTES_PER_COMMITMENT + assert len(proof_bytes) == BYTES_PER_PROOF + + commitment = bytes_to_kzg_commitment(commitment_bytes) + + polynomial = blob_to_polynomial(blob) + evaluation_challenge = compute_challenge(blob, commitment) + + # Evaluate polynomial at `evaluation_challenge` + y = evaluate_polynomial_in_evaluation_form(polynomial, evaluation_challenge) + + # Verify proof + proof = bytes_to_kzg_proof(proof_bytes) + return verify_kzg_proof_impl(commitment, evaluation_challenge, y, proof) + + +def verify_blob_kzg_proof_batch(blobs: Sequence[Blob], + commitments_bytes: Sequence[Bytes48], + proofs_bytes: Sequence[Bytes48]) -> bool: + """ + Given a list of blobs and blob KZG proofs, verify that they correspond to the provided commitments. + Will return True if there are zero blobs/commitments/proofs. + Public method. + """ + + assert len(blobs) == len(commitments_bytes) == len(proofs_bytes) + + commitments, evaluation_challenges, ys, proofs = [], [], [], [] + for blob, commitment_bytes, proof_bytes in zip(blobs, commitments_bytes, proofs_bytes): + assert len(blob) == BYTES_PER_BLOB + assert len(commitment_bytes) == BYTES_PER_COMMITMENT + assert len(proof_bytes) == BYTES_PER_PROOF + commitment = bytes_to_kzg_commitment(commitment_bytes) + commitments.append(commitment) + polynomial = blob_to_polynomial(blob) + evaluation_challenge = compute_challenge(blob, commitment) + evaluation_challenges.append(evaluation_challenge) + ys.append(evaluate_polynomial_in_evaluation_form(polynomial, evaluation_challenge)) + proofs.append(bytes_to_kzg_proof(proof_bytes)) + + return verify_kzg_proof_batch(commitments, evaluation_challenges, ys, proofs) + + +def verify_blob_sidecar_inclusion_proof(blob_sidecar: BlobSidecar) -> bool: + gindex = get_subtree_index(get_generalized_index(BeaconBlockBody, 'blob_kzg_commitments', blob_sidecar.index)) + return is_valid_merkle_branch( + leaf=blob_sidecar.kzg_commitment.hash_tree_root(), + branch=blob_sidecar.kzg_commitment_inclusion_proof, + depth=KZG_COMMITMENT_INCLUSION_PROOF_DEPTH, + index=gindex, + root=blob_sidecar.signed_block_header.message.body_root, + ) + + +def kzg_commitment_to_versioned_hash(kzg_commitment: KZGCommitment) -> VersionedHash: + return VERSIONED_HASH_VERSION_KZG + hash(kzg_commitment)[1:] + + +def get_validator_activation_churn_limit(state: BeaconState) -> uint64: + """ + Return the validator activation churn limit for the current epoch. + """ + return min(config.MAX_PER_EPOCH_ACTIVATION_CHURN_LIMIT, get_validator_churn_limit(state)) + + +def is_data_available(beacon_block_root: Root, blob_kzg_commitments: Sequence[KZGCommitment]) -> bool: + # `retrieve_blobs_and_proofs` is implementation and context dependent + # It returns all the blobs for the given block root, and raises an exception if not available + # Note: the p2p network does not guarantee sidecar retrieval outside of + # `config.MIN_EPOCHS_FOR_BLOB_SIDECARS_REQUESTS` + blobs, proofs = retrieve_blobs_and_proofs(beacon_block_root) + + return verify_blob_kzg_proof_batch(blobs, blob_kzg_commitments, proofs) + + +def get_blob_sidecars(signed_block: SignedBeaconBlock, + blobs: Sequence[Blob], + blob_kzg_proofs: Sequence[KZGProof]) -> Sequence[BlobSidecar]: + block = signed_block.message + block_header = BeaconBlockHeader( + slot=block.slot, + proposer_index=block.proposer_index, + parent_root=block.parent_root, + state_root=block.state_root, + body_root=hash_tree_root(block.body), + ) + signed_block_header = SignedBeaconBlockHeader(message=block_header, signature=signed_block.signature) + return [ + BlobSidecar( + index=index, + blob=blob, + kzg_commitment=block.body.blob_kzg_commitments[index], + kzg_proof=blob_kzg_proofs[index], + signed_block_header=signed_block_header, + kzg_commitment_inclusion_proof=compute_merkle_proof( + block.body, + get_generalized_index(BeaconBlockBody, 'blob_kzg_commitments', index), + ), + ) + for index, blob in enumerate(blobs) + ] + + +def compute_subnet_for_blob_sidecar(blob_index: BlobIndex) -> SubnetID: + return SubnetID(blob_index % config.BLOB_SIDECAR_SUBNET_COUNT) + + +def upgrade_to_deneb(pre: capella.BeaconState) -> BeaconState: + epoch = capella.get_current_epoch(pre) + latest_execution_payload_header = ExecutionPayloadHeader( + parent_hash=pre.latest_execution_payload_header.parent_hash, + fee_recipient=pre.latest_execution_payload_header.fee_recipient, + state_root=pre.latest_execution_payload_header.state_root, + receipts_root=pre.latest_execution_payload_header.receipts_root, + logs_bloom=pre.latest_execution_payload_header.logs_bloom, + prev_randao=pre.latest_execution_payload_header.prev_randao, + block_number=pre.latest_execution_payload_header.block_number, + gas_limit=pre.latest_execution_payload_header.gas_limit, + gas_used=pre.latest_execution_payload_header.gas_used, + timestamp=pre.latest_execution_payload_header.timestamp, + extra_data=pre.latest_execution_payload_header.extra_data, + base_fee_per_gas=pre.latest_execution_payload_header.base_fee_per_gas, + block_hash=pre.latest_execution_payload_header.block_hash, + transactions_root=pre.latest_execution_payload_header.transactions_root, + withdrawals_root=pre.latest_execution_payload_header.withdrawals_root, + blob_gas_used=uint64(0), # [New in Deneb:EIP4844] + excess_blob_gas=uint64(0), # [New in Deneb:EIP4844] + ) + post = BeaconState( + # Versioning + genesis_time=pre.genesis_time, + genesis_validators_root=pre.genesis_validators_root, + slot=pre.slot, + fork=Fork( + previous_version=pre.fork.current_version, + current_version=config.DENEB_FORK_VERSION, # [Modified in Deneb] + epoch=epoch, + ), + # History + latest_block_header=pre.latest_block_header, + block_roots=pre.block_roots, + state_roots=pre.state_roots, + historical_roots=pre.historical_roots, + # Eth1 + eth1_data=pre.eth1_data, + eth1_data_votes=pre.eth1_data_votes, + eth1_deposit_index=pre.eth1_deposit_index, + # Registry + validators=pre.validators, + balances=pre.balances, + # Randomness + randao_mixes=pre.randao_mixes, + # Slashings + slashings=pre.slashings, + # Participation + previous_epoch_participation=pre.previous_epoch_participation, + current_epoch_participation=pre.current_epoch_participation, + # Finality + justification_bits=pre.justification_bits, + previous_justified_checkpoint=pre.previous_justified_checkpoint, + current_justified_checkpoint=pre.current_justified_checkpoint, + finalized_checkpoint=pre.finalized_checkpoint, + # Inactivity + inactivity_scores=pre.inactivity_scores, + # Sync + current_sync_committee=pre.current_sync_committee, + next_sync_committee=pre.next_sync_committee, + # Execution-layer + latest_execution_payload_header=latest_execution_payload_header, # [Modified in Deneb:EIP4844] + # Withdrawals + next_withdrawal_index=pre.next_withdrawal_index, + next_withdrawal_validator_index=pre.next_withdrawal_validator_index, + # Deep history valid from Capella onwards + historical_summaries=pre.historical_summaries, + ) + + return post + + +def upgrade_lc_header_to_deneb(pre: capella.LightClientHeader) -> LightClientHeader: + return LightClientHeader( + beacon=pre.beacon, + execution=ExecutionPayloadHeader( + parent_hash=pre.execution.parent_hash, + fee_recipient=pre.execution.fee_recipient, + state_root=pre.execution.state_root, + receipts_root=pre.execution.receipts_root, + logs_bloom=pre.execution.logs_bloom, + prev_randao=pre.execution.prev_randao, + block_number=pre.execution.block_number, + gas_limit=pre.execution.gas_limit, + gas_used=pre.execution.gas_used, + timestamp=pre.execution.timestamp, + extra_data=pre.execution.extra_data, + base_fee_per_gas=pre.execution.base_fee_per_gas, + block_hash=pre.execution.block_hash, + transactions_root=pre.execution.transactions_root, + withdrawals_root=pre.execution.withdrawals_root, + blob_gas_used=uint64(0), # [New in Deneb:EIP4844] + excess_blob_gas=uint64(0), # [New in Deneb:EIP4844] + ), + execution_branch=pre.execution_branch, + ) + + +def upgrade_lc_bootstrap_to_deneb(pre: capella.LightClientBootstrap) -> LightClientBootstrap: + return LightClientBootstrap( + header=upgrade_lc_header_to_deneb(pre.header), + current_sync_committee=pre.current_sync_committee, + current_sync_committee_branch=pre.current_sync_committee_branch, + ) + + +def upgrade_lc_update_to_deneb(pre: capella.LightClientUpdate) -> LightClientUpdate: + return LightClientUpdate( + attested_header=upgrade_lc_header_to_deneb(pre.attested_header), + next_sync_committee=pre.next_sync_committee, + next_sync_committee_branch=pre.next_sync_committee_branch, + finalized_header=upgrade_lc_header_to_deneb(pre.finalized_header), + finality_branch=pre.finality_branch, + sync_aggregate=pre.sync_aggregate, + signature_slot=pre.signature_slot, + ) + + +def upgrade_lc_finality_update_to_deneb(pre: capella.LightClientFinalityUpdate) -> LightClientFinalityUpdate: + return LightClientFinalityUpdate( + attested_header=upgrade_lc_header_to_deneb(pre.attested_header), + finalized_header=upgrade_lc_header_to_deneb(pre.finalized_header), + finality_branch=pre.finality_branch, + sync_aggregate=pre.sync_aggregate, + signature_slot=pre.signature_slot, + ) + + +def upgrade_lc_optimistic_update_to_deneb(pre: capella.LightClientOptimisticUpdate) -> LightClientOptimisticUpdate: + return LightClientOptimisticUpdate( + attested_header=upgrade_lc_header_to_deneb(pre.attested_header), + sync_aggregate=pre.sync_aggregate, + signature_slot=pre.signature_slot, + ) + + +def upgrade_lc_store_to_deneb(pre: capella.LightClientStore) -> LightClientStore: + if pre.best_valid_update is None: + best_valid_update = None + else: + best_valid_update = upgrade_lc_update_to_deneb(pre.best_valid_update) + return LightClientStore( + finalized_header=upgrade_lc_header_to_deneb(pre.finalized_header), + current_sync_committee=pre.current_sync_committee, + next_sync_committee=pre.next_sync_committee, + best_valid_update=best_valid_update, + optimistic_header=upgrade_lc_header_to_deneb(pre.optimistic_header), + previous_max_active_participants=pre.previous_max_active_participants, + current_max_active_participants=pre.current_max_active_participants, + ) + + +def get_committee_indices(commitee_bits: Bitvector) -> List[CommitteeIndex]: + return [CommitteeIndex(index) for bit, index in enumerate(commitee_bits) if bit] + + +def get_eth1_data(block: Eth1Block) -> Eth1Data: + """ + A stub function return mocking Eth1Data. + """ + return Eth1Data( + deposit_root=block.deposit_root, + deposit_count=block.deposit_count, + block_hash=hash_tree_root(block)) + + +def cache_this(key_fn, value_fn, lru_size): # type: ignore + cache_dict = LRU(size=lru_size) + + def wrapper(*args, **kw): # type: ignore + key = key_fn(*args, **kw) + nonlocal cache_dict + if key not in cache_dict: + cache_dict[key] = value_fn(*args, **kw) + return cache_dict[key] + return wrapper + + +_compute_shuffled_index = compute_shuffled_index +compute_shuffled_index = cache_this( + lambda index, index_count, seed: (index, index_count, seed), + _compute_shuffled_index, lru_size=SLOTS_PER_EPOCH * 3) + +_get_total_active_balance = get_total_active_balance +get_total_active_balance = cache_this( + lambda state: (state.validators.hash_tree_root(), compute_epoch_at_slot(state.slot)), + _get_total_active_balance, lru_size=10) + +_get_base_reward = get_base_reward +get_base_reward = cache_this( + lambda state, index: (state.validators.hash_tree_root(), state.slot, index), + _get_base_reward, lru_size=2048) + +_get_committee_count_per_slot = get_committee_count_per_slot +get_committee_count_per_slot = cache_this( + lambda state, epoch: (state.validators.hash_tree_root(), epoch), + _get_committee_count_per_slot, lru_size=SLOTS_PER_EPOCH * 3) + +_get_active_validator_indices = get_active_validator_indices +get_active_validator_indices = cache_this( + lambda state, epoch: (state.validators.hash_tree_root(), epoch), + _get_active_validator_indices, lru_size=3) + +_get_beacon_committee = get_beacon_committee +get_beacon_committee = cache_this( + lambda state, slot, index: (state.validators.hash_tree_root(), state.randao_mixes.hash_tree_root(), slot, index), + _get_beacon_committee, lru_size=SLOTS_PER_EPOCH * MAX_COMMITTEES_PER_SLOT * 3) + +_get_matching_target_attestations = get_matching_target_attestations +get_matching_target_attestations = cache_this( + lambda state, epoch: (state.hash_tree_root(), epoch), + _get_matching_target_attestations, lru_size=10) + +_get_matching_head_attestations = get_matching_head_attestations +get_matching_head_attestations = cache_this( + lambda state, epoch: (state.hash_tree_root(), epoch), + _get_matching_head_attestations, lru_size=10) + +_get_attesting_indices = get_attesting_indices +get_attesting_indices = cache_this( + lambda state, attestation: ( + state.randao_mixes.hash_tree_root(), + state.validators.hash_tree_root(), attestation.hash_tree_root() + ), + _get_attesting_indices, lru_size=SLOTS_PER_EPOCH * MAX_COMMITTEES_PER_SLOT * 3) + + +def get_generalized_index(ssz_class: Any, *path: PyUnion[int, SSZVariableName]) -> GeneralizedIndex: + ssz_path = Path(ssz_class) + for item in path: + ssz_path = ssz_path / item + return GeneralizedIndex(ssz_path.gindex()) + + +def compute_merkle_proof(object: SSZObject, + index: GeneralizedIndex) -> Sequence[Bytes32]: + return build_proof(object.get_backing(), index) + + +ExecutionState = Any + + +def get_pow_block(hash: Bytes32) -> Optional[PowBlock]: + return PowBlock(block_hash=hash, parent_hash=Bytes32(), total_difficulty=uint256(0)) + + +def get_execution_state(_execution_state_root: Bytes32) -> ExecutionState: + pass + + +def get_pow_chain_head() -> PowBlock: + pass + + +def validator_is_connected(validator_index: ValidatorIndex) -> bool: + # pylint: disable=unused-argument + return True + + +def retrieve_blobs_and_proofs(beacon_block_root: Root) -> Tuple[Sequence[Blob], Sequence[KZGProof]]: + # pylint: disable=unused-argument + return [], [] + + +class NoopExecutionEngine(ExecutionEngine): + + def notify_new_payload(self: ExecutionEngine, + execution_payload: ExecutionPayload, + parent_beacon_block_root: Root) -> bool: + return True + + def notify_forkchoice_updated(self: ExecutionEngine, + head_block_hash: Hash32, + safe_block_hash: Hash32, + finalized_block_hash: Hash32, + payload_attributes: Optional[PayloadAttributes]) -> Optional[PayloadId]: + pass + + def get_payload(self: ExecutionEngine, payload_id: PayloadId) -> GetPayloadResponse: + # pylint: disable=unused-argument + raise NotImplementedError("no default block production") + + def is_valid_block_hash(self: ExecutionEngine, + execution_payload: ExecutionPayload, + parent_beacon_block_root: Root) -> bool: + return True + + def is_valid_versioned_hashes(self: ExecutionEngine, new_payload_request: NewPayloadRequest) -> bool: + return True + + def verify_and_notify_new_payload(self: ExecutionEngine, + new_payload_request: NewPayloadRequest) -> bool: + return True + + +EXECUTION_ENGINE = NoopExecutionEngine() + + +assert FINALIZED_ROOT_GINDEX == get_generalized_index(BeaconState, 'finalized_checkpoint', 'root') +assert CURRENT_SYNC_COMMITTEE_GINDEX == get_generalized_index(BeaconState, 'current_sync_committee') +assert NEXT_SYNC_COMMITTEE_GINDEX == get_generalized_index(BeaconState, 'next_sync_committee') +assert EXECUTION_PAYLOAD_GINDEX == get_generalized_index(BeaconBlockBody, 'execution_payload') + + +assert KZG_COMMITMENT_INCLUSION_PROOF_DEPTH == uint64(floorlog2(get_generalized_index(BeaconBlockBody, 'blob_kzg_commitments')) + 1 + ceillog2(MAX_BLOB_COMMITMENTS_PER_BLOCK)) # noqa: E501 diff --git a/tests/core/pyspec/eth2spec/eip7549/minimal.py b/tests/core/pyspec/eth2spec/eip7549/minimal.py new file mode 100644 index 000000000..e87198055 --- /dev/null +++ b/tests/core/pyspec/eth2spec/eip7549/minimal.py @@ -0,0 +1,4952 @@ +from lru import LRU +from dataclasses import ( + dataclass, + field, +) +from typing import ( + Any, Callable, Dict, Set, Sequence, Tuple, Optional, TypeVar, NamedTuple, Final +) + +from eth2spec.utils.ssz.ssz_impl import hash_tree_root, copy, uint_to_bytes +from eth2spec.utils.ssz.ssz_typing import ( + View, boolean, Container, List, Vector, uint8, uint32, uint64, uint256, + Bytes1, Bytes4, Bytes32, Bytes48, Bytes96, Bitlist) +from eth2spec.utils.ssz.ssz_typing import Bitvector # noqa: F401 +from eth2spec.utils import bls +from eth2spec.utils.hash_function import hash + + +from typing import NewType, Union as PyUnion + +from eth2spec.phase0 import minimal as phase0 +from eth2spec.test.helpers.merkle import build_proof +from eth2spec.utils.ssz.ssz_typing import Path + + +from typing import Protocol +from eth2spec.altair import minimal as altair +from eth2spec.utils.ssz.ssz_typing import Bytes8, Bytes20, ByteList, ByteVector + + +from eth2spec.bellatrix import minimal as bellatrix + + +from eth2spec.capella import minimal as capella + + +SSZObject = TypeVar('SSZObject', bound=View) + + +SSZVariableName = str +GeneralizedIndex = NewType('GeneralizedIndex', int) + + +T = TypeVar('T') # For generic function + + +fork = 'eip7549' + + +def ceillog2(x: int) -> uint64: + if x < 1: + raise ValueError(f"ceillog2 accepts only positive values, x={x}") + return uint64((x - 1).bit_length()) + + +def floorlog2(x: int) -> uint64: + if x < 1: + raise ValueError(f"floorlog2 accepts only positive values, x={x}") + return uint64(x.bit_length() - 1) + + +MAX_BYTES_PER_TRANSACTION = 1073741824 +BYTES_PER_FIELD_ELEMENT = 32 +FIELD_ELEMENTS_PER_BLOB = 4096 +MAX_BLOBS_PER_BLOCK = 6 +MAX_BLOB_COMMITMENTS_PER_BLOCK = 16 + + +FINALIZED_ROOT_GINDEX = GeneralizedIndex(105) +CURRENT_SYNC_COMMITTEE_GINDEX = GeneralizedIndex(54) +NEXT_SYNC_COMMITTEE_GINDEX = GeneralizedIndex(55) +EXECUTION_PAYLOAD_GINDEX = GeneralizedIndex(25) + + +class Ether(uint64): + pass + + +class NodeID(uint256): + pass + + +class SubnetID(uint64): + pass + + +class Slot(uint64): + pass + + +class Epoch(uint64): + pass + + +class CommitteeIndex(uint64): + pass + + +class ValidatorIndex(uint64): + pass + + +class Gwei(uint64): + pass + + +class Root(Bytes32): + pass + + +class Hash32(Bytes32): + pass + + +class Version(Bytes4): + pass + + +class DomainType(Bytes4): + pass + + +class ForkDigest(Bytes4): + pass + + +class Domain(Bytes32): + pass + + +class BLSPubkey(Bytes48): + pass + + +class BLSSignature(Bytes96): + pass + + +class ParticipationFlags(uint8): + pass + + +class FinalityBranch(Vector[Bytes32, floorlog2(FINALIZED_ROOT_GINDEX)]): # type: ignore + pass + + +class CurrentSyncCommitteeBranch(Vector[Bytes32, floorlog2(CURRENT_SYNC_COMMITTEE_GINDEX)]): # type: ignore + pass + + +class NextSyncCommitteeBranch(Vector[Bytes32, floorlog2(NEXT_SYNC_COMMITTEE_GINDEX)]): # type: ignore + pass + + +class Transaction(ByteList[MAX_BYTES_PER_TRANSACTION]): + pass + + +class ExecutionAddress(Bytes20): + pass + + +class PayloadId(Bytes8): + pass + + +class WithdrawalIndex(uint64): + pass + + +class ExecutionBranch(Vector[Bytes32, floorlog2(EXECUTION_PAYLOAD_GINDEX)]): # type: ignore + pass + + +class G1Point(Bytes48): + pass + + +class G2Point(Bytes96): + pass + + +class BLSFieldElement(uint256): + pass + + +class KZGCommitment(Bytes48): + pass + + +class KZGProof(Bytes48): + pass + + +class Polynomial(Vector[BLSFieldElement, FIELD_ELEMENTS_PER_BLOB]): + pass + + +class Blob(ByteVector[BYTES_PER_FIELD_ELEMENT * FIELD_ELEMENTS_PER_BLOB]): # type: ignore + pass + + +class VersionedHash(Bytes32): + pass + + +class BlobIndex(uint64): + pass + + +# Constant vars +ETH_TO_GWEI = uint64(10**9) +SAFETY_DECAY = uint64(10) +NODE_ID_BITS = 256 +UINT64_MAX = uint64(2**64 - 1) +UINT64_MAX_SQRT = uint64(4294967295) +GENESIS_SLOT = Slot(0) +GENESIS_EPOCH = Epoch(0) +FAR_FUTURE_EPOCH = Epoch(2**64 - 1) +BASE_REWARDS_PER_EPOCH = uint64(4) +DEPOSIT_CONTRACT_TREE_DEPTH = uint64(2**5) +JUSTIFICATION_BITS_LENGTH = uint64(4) +ENDIANNESS: Final = 'little' +BLS_WITHDRAWAL_PREFIX = Bytes1('0x00') +ETH1_ADDRESS_WITHDRAWAL_PREFIX = Bytes1('0x01') +DOMAIN_BEACON_PROPOSER = DomainType('0x00000000') +DOMAIN_BEACON_ATTESTER = DomainType('0x01000000') +DOMAIN_RANDAO = DomainType('0x02000000') +DOMAIN_DEPOSIT = DomainType('0x03000000') +DOMAIN_VOLUNTARY_EXIT = DomainType('0x04000000') +DOMAIN_SELECTION_PROOF = DomainType('0x05000000') +DOMAIN_AGGREGATE_AND_PROOF = DomainType('0x06000000') +DOMAIN_APPLICATION_MASK = DomainType('0x00000001') +INTERVALS_PER_SLOT = uint64(3) +TARGET_AGGREGATORS_PER_COMMITTEE = 2**4 +TIMELY_SOURCE_FLAG_INDEX = 0 +TIMELY_TARGET_FLAG_INDEX = 1 +TIMELY_HEAD_FLAG_INDEX = 2 +TIMELY_SOURCE_WEIGHT = uint64(14) +TIMELY_TARGET_WEIGHT = uint64(26) +TIMELY_HEAD_WEIGHT = uint64(14) +SYNC_REWARD_WEIGHT = uint64(2) +PROPOSER_WEIGHT = uint64(8) +WEIGHT_DENOMINATOR = uint64(64) +DOMAIN_SYNC_COMMITTEE = DomainType('0x07000000') +DOMAIN_SYNC_COMMITTEE_SELECTION_PROOF = DomainType('0x08000000') +DOMAIN_CONTRIBUTION_AND_PROOF = DomainType('0x09000000') +PARTICIPATION_FLAG_WEIGHTS = [TIMELY_SOURCE_WEIGHT, TIMELY_TARGET_WEIGHT, TIMELY_HEAD_WEIGHT] +TARGET_AGGREGATORS_PER_SYNC_SUBCOMMITTEE = 2**4 +SYNC_COMMITTEE_SUBNET_COUNT = 4 +G2_POINT_AT_INFINITY = BLSSignature(b'\xc0' + b'\x00' * 95) +MAX_REQUEST_LIGHT_CLIENT_UPDATES = 2**7 +SAFE_SLOTS_TO_IMPORT_OPTIMISTICALLY = 128 +DOMAIN_BLS_TO_EXECUTION_CHANGE = DomainType('0x0A000000') +BLS_MODULUS = 52435875175126190479447740508185965837690552500527637822603658699938581184513 +BYTES_PER_COMMITMENT = uint64(48) +BYTES_PER_PROOF = uint64(48) +BYTES_PER_FIELD_ELEMENT = uint64(32) +BYTES_PER_BLOB = uint64(BYTES_PER_FIELD_ELEMENT * FIELD_ELEMENTS_PER_BLOB) +G1_POINT_AT_INFINITY = Bytes48(b'\xc0' + b'\x00' * 47) +KZG_ENDIANNESS: Final = 'big' +PRIMITIVE_ROOT_OF_UNITY = 7 +FIAT_SHAMIR_PROTOCOL_DOMAIN = b'FSBLOBVERIFY_V1_' +RANDOM_CHALLENGE_KZG_BATCH_DOMAIN = b'RCKZGBATCH___V1_' +KZG_SETUP_G2_LENGTH = 65 +KZG_SETUP_G1_MONOMIAL = Vector[G1Point, FIELD_ELEMENTS_PER_BLOB](['0x97f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb', 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'0x92dcc5a1c8c3e1b28b1524e3dd6dbecd63017c9201da9dbe077f1b82adc08c50169f56fc7b5a3b28ec6b89254de3e2fd12838a761053437883c3e01ba616670cea843754548ef84bcc397de2369adcca2ab54cd73c55dc68d87aec3fc2fe4f10']) # noqa: E501 +VERSIONED_HASH_VERSION_KZG = Bytes1('0x01') + + +# Preset vars +MAX_COMMITTEES_PER_SLOT = uint64(4) +TARGET_COMMITTEE_SIZE = uint64(4) +MAX_VALIDATORS_PER_COMMITTEE = uint64(2048) +SHUFFLE_ROUND_COUNT = uint64(10) +HYSTERESIS_QUOTIENT = uint64(4) +HYSTERESIS_DOWNWARD_MULTIPLIER = uint64(1) +HYSTERESIS_UPWARD_MULTIPLIER = uint64(5) +MIN_DEPOSIT_AMOUNT = Gwei(1000000000) +MAX_EFFECTIVE_BALANCE = Gwei(32000000000) +EFFECTIVE_BALANCE_INCREMENT = Gwei(1000000000) +MIN_ATTESTATION_INCLUSION_DELAY = uint64(1) +SLOTS_PER_EPOCH = uint64(8) +MIN_SEED_LOOKAHEAD = uint64(1) +MAX_SEED_LOOKAHEAD = uint64(4) +MIN_EPOCHS_TO_INACTIVITY_PENALTY = uint64(4) +EPOCHS_PER_ETH1_VOTING_PERIOD = uint64(4) +SLOTS_PER_HISTORICAL_ROOT = uint64(64) +EPOCHS_PER_HISTORICAL_VECTOR = uint64(64) +EPOCHS_PER_SLASHINGS_VECTOR = uint64(64) +HISTORICAL_ROOTS_LIMIT = uint64(16777216) +VALIDATOR_REGISTRY_LIMIT = uint64(1099511627776) +BASE_REWARD_FACTOR = uint64(64) +WHISTLEBLOWER_REWARD_QUOTIENT = uint64(512) +PROPOSER_REWARD_QUOTIENT = uint64(8) +INACTIVITY_PENALTY_QUOTIENT = uint64(33554432) +MIN_SLASHING_PENALTY_QUOTIENT = uint64(64) +PROPORTIONAL_SLASHING_MULTIPLIER = uint64(2) +MAX_PROPOSER_SLASHINGS = 16 +MAX_ATTESTER_SLASHINGS = 2 +MAX_ATTESTATIONS = 128 +MAX_DEPOSITS = 16 +MAX_VOLUNTARY_EXITS = 16 +INACTIVITY_PENALTY_QUOTIENT_ALTAIR = uint64(50331648) +MIN_SLASHING_PENALTY_QUOTIENT_ALTAIR = uint64(64) +PROPORTIONAL_SLASHING_MULTIPLIER_ALTAIR = uint64(2) +SYNC_COMMITTEE_SIZE = uint64(32) +EPOCHS_PER_SYNC_COMMITTEE_PERIOD = uint64(8) +MIN_SYNC_COMMITTEE_PARTICIPANTS = 1 +UPDATE_TIMEOUT = 64 +MAX_BYTES_PER_TRANSACTION = uint64(1073741824) +MAX_TRANSACTIONS_PER_PAYLOAD = uint64(1048576) +BYTES_PER_LOGS_BLOOM = uint64(256) +MAX_EXTRA_DATA_BYTES = 32 +INACTIVITY_PENALTY_QUOTIENT_BELLATRIX = uint64(16777216) +MIN_SLASHING_PENALTY_QUOTIENT_BELLATRIX = uint64(32) +PROPORTIONAL_SLASHING_MULTIPLIER_BELLATRIX = uint64(3) +MAX_BLS_TO_EXECUTION_CHANGES = 16 +MAX_WITHDRAWALS_PER_PAYLOAD = uint64(4) +MAX_VALIDATORS_PER_WITHDRAWALS_SWEEP = 16 +FIELD_ELEMENTS_PER_BLOB = uint64(4096) +KZG_COMMITMENT_INCLUSION_PROOF_DEPTH = uint64(9) +MAX_BLOB_COMMITMENTS_PER_BLOCK = uint64(16) +MAX_BLOBS_PER_BLOCK = uint64(6) + + +class Configuration(NamedTuple): + PRESET_BASE: str + GOSSIP_MAX_SIZE: int + MAX_REQUEST_BLOCKS: int + EPOCHS_PER_SUBNET_SUBSCRIPTION: int + MIN_EPOCHS_FOR_BLOCK_REQUESTS: int + MAX_CHUNK_SIZE: int + TTFB_TIMEOUT: int + RESP_TIMEOUT: int + ATTESTATION_PROPAGATION_SLOT_RANGE: int + MAXIMUM_GOSSIP_CLOCK_DISPARITY: int + MESSAGE_DOMAIN_INVALID_SNAPPY: DomainType + MESSAGE_DOMAIN_VALID_SNAPPY: DomainType + SUBNETS_PER_NODE: int + ATTESTATION_SUBNET_COUNT: int + ATTESTATION_SUBNET_EXTRA_BITS: int + ATTESTATION_SUBNET_PREFIX_BITS: int + MIN_GENESIS_ACTIVE_VALIDATOR_COUNT: uint64 + MIN_GENESIS_TIME: uint64 + GENESIS_FORK_VERSION: Version + GENESIS_DELAY: uint64 + SECONDS_PER_SLOT: uint64 + SECONDS_PER_ETH1_BLOCK: uint64 + MIN_VALIDATOR_WITHDRAWABILITY_DELAY: uint64 + SHARD_COMMITTEE_PERIOD: uint64 + ETH1_FOLLOW_DISTANCE: uint64 + EJECTION_BALANCE: Gwei + MIN_PER_EPOCH_CHURN_LIMIT: uint64 + CHURN_LIMIT_QUOTIENT: uint64 + PROPOSER_SCORE_BOOST: uint64 + REORG_HEAD_WEIGHT_THRESHOLD: uint64 + REORG_PARENT_WEIGHT_THRESHOLD: uint64 + REORG_MAX_EPOCHS_SINCE_FINALIZATION: Epoch + INACTIVITY_SCORE_BIAS: uint64 + INACTIVITY_SCORE_RECOVERY_RATE: uint64 + ALTAIR_FORK_VERSION: Version + ALTAIR_FORK_EPOCH: Epoch + TERMINAL_TOTAL_DIFFICULTY: int + TERMINAL_BLOCK_HASH: Hash32 + TERMINAL_BLOCK_HASH_ACTIVATION_EPOCH: int + BELLATRIX_FORK_VERSION: Version + BELLATRIX_FORK_EPOCH: Epoch + CAPELLA_FORK_VERSION: Version + CAPELLA_FORK_EPOCH: Epoch + MAX_REQUEST_BLOCKS_DENEB: int + MAX_REQUEST_BLOB_SIDECARS: int + MIN_EPOCHS_FOR_BLOB_SIDECARS_REQUESTS: int + BLOB_SIDECAR_SUBNET_COUNT: int + MAX_PER_EPOCH_ACTIVATION_CHURN_LIMIT: uint64 + DENEB_FORK_VERSION: Version + DENEB_FORK_EPOCH: Epoch + + +config = Configuration( + PRESET_BASE="minimal", + GOSSIP_MAX_SIZE=10485760, + MAX_REQUEST_BLOCKS=1024, + EPOCHS_PER_SUBNET_SUBSCRIPTION=256, + MIN_EPOCHS_FOR_BLOCK_REQUESTS=272, + MAX_CHUNK_SIZE=10485760, + TTFB_TIMEOUT=5, + RESP_TIMEOUT=10, + ATTESTATION_PROPAGATION_SLOT_RANGE=32, + MAXIMUM_GOSSIP_CLOCK_DISPARITY=500, + MESSAGE_DOMAIN_INVALID_SNAPPY=DomainType('0x00000000'), + MESSAGE_DOMAIN_VALID_SNAPPY=DomainType('0x01000000'), + SUBNETS_PER_NODE=2, + ATTESTATION_SUBNET_COUNT=64, + ATTESTATION_SUBNET_EXTRA_BITS=0, + ATTESTATION_SUBNET_PREFIX_BITS=int(6), + MIN_GENESIS_ACTIVE_VALIDATOR_COUNT=uint64(64), + MIN_GENESIS_TIME=uint64(1578009600), + GENESIS_FORK_VERSION=Version('0x00000001'), + GENESIS_DELAY=uint64(300), + SECONDS_PER_SLOT=uint64(6), + SECONDS_PER_ETH1_BLOCK=uint64(14), + MIN_VALIDATOR_WITHDRAWABILITY_DELAY=uint64(256), + SHARD_COMMITTEE_PERIOD=uint64(64), + ETH1_FOLLOW_DISTANCE=uint64(16), + EJECTION_BALANCE=Gwei(16000000000), + MIN_PER_EPOCH_CHURN_LIMIT=uint64(2), + CHURN_LIMIT_QUOTIENT=uint64(32), + PROPOSER_SCORE_BOOST=uint64(40), + REORG_HEAD_WEIGHT_THRESHOLD=uint64(20), + REORG_PARENT_WEIGHT_THRESHOLD=uint64(160), + REORG_MAX_EPOCHS_SINCE_FINALIZATION=Epoch(2), + INACTIVITY_SCORE_BIAS=uint64(4), + INACTIVITY_SCORE_RECOVERY_RATE=uint64(16), + ALTAIR_FORK_VERSION=Version('0x01000001'), + ALTAIR_FORK_EPOCH=Epoch(18446744073709551615), + TERMINAL_TOTAL_DIFFICULTY=115792089237316195423570985008687907853269984665640564039457584007913129638912, + TERMINAL_BLOCK_HASH=Hash32('0x0000000000000000000000000000000000000000000000000000000000000000'), + TERMINAL_BLOCK_HASH_ACTIVATION_EPOCH=18446744073709551615, + BELLATRIX_FORK_VERSION=Version('0x02000001'), + BELLATRIX_FORK_EPOCH=Epoch(18446744073709551615), + CAPELLA_FORK_VERSION=Version('0x03000001'), + CAPELLA_FORK_EPOCH=Epoch(18446744073709551615), + MAX_REQUEST_BLOCKS_DENEB=128, + MAX_REQUEST_BLOB_SIDECARS=768, + MIN_EPOCHS_FOR_BLOB_SIDECARS_REQUESTS=4096, + BLOB_SIDECAR_SUBNET_COUNT=6, + MAX_PER_EPOCH_ACTIVATION_CHURN_LIMIT=uint64(4), + DENEB_FORK_VERSION=Version('0x04000001'), + DENEB_FORK_EPOCH=Epoch(18446744073709551615), +) + + +class Fork(Container): + previous_version: Version + current_version: Version + epoch: Epoch # Epoch of latest fork + + +class ForkData(Container): + current_version: Version + genesis_validators_root: Root + + +class Checkpoint(Container): + epoch: Epoch + root: Root + + +class Validator(Container): + pubkey: BLSPubkey + withdrawal_credentials: Bytes32 # Commitment to pubkey for withdrawals + effective_balance: Gwei # Balance at stake + slashed: boolean + # Status epochs + activation_eligibility_epoch: Epoch # When criteria for activation were met + activation_epoch: Epoch + exit_epoch: Epoch + withdrawable_epoch: Epoch # When validator can withdraw funds + + +class AttestationData(Container): + slot: Slot + index: CommitteeIndex + # LMD GHOST vote + beacon_block_root: Root + # FFG vote + source: Checkpoint + target: Checkpoint + + +class IndexedAttestation(Container): + # [Modified in EIP7549] + attesting_indices: List[ValidatorIndex, MAX_VALIDATORS_PER_COMMITTEE * MAX_COMMITTEES_PER_SLOT] + data: AttestationData + signature: BLSSignature + + +class PendingAttestation(Container): + aggregation_bits: Bitlist[MAX_VALIDATORS_PER_COMMITTEE] + data: AttestationData + inclusion_delay: Slot + proposer_index: ValidatorIndex + + +class Eth1Data(Container): + deposit_root: Root + deposit_count: uint64 + block_hash: Hash32 + + +class HistoricalBatch(Container): + block_roots: Vector[Root, SLOTS_PER_HISTORICAL_ROOT] + state_roots: Vector[Root, SLOTS_PER_HISTORICAL_ROOT] + + +class DepositMessage(Container): + pubkey: BLSPubkey + withdrawal_credentials: Bytes32 + amount: Gwei + + +class DepositData(Container): + pubkey: BLSPubkey + withdrawal_credentials: Bytes32 + amount: Gwei + signature: BLSSignature # Signing over DepositMessage + + +class BeaconBlockHeader(Container): + slot: Slot + proposer_index: ValidatorIndex + parent_root: Root + state_root: Root + body_root: Root + + +class SigningData(Container): + object_root: Root + domain: Domain + + +class AttesterSlashing(Container): + attestation_1: IndexedAttestation + attestation_2: IndexedAttestation + + +class Attestation(Container): + aggregation_bits: List[Bitlist[MAX_VALIDATORS_PER_COMMITTEE], MAX_COMMITTEES_PER_SLOT] # [Modified in EIP7549] + data: AttestationData + committee_bits: Bitvector[MAX_COMMITTEES_PER_SLOT] # [New in EIP7549] + signature: BLSSignature + + +class Deposit(Container): + proof: Vector[Bytes32, DEPOSIT_CONTRACT_TREE_DEPTH + 1] # Merkle path to deposit root + data: DepositData + + +class VoluntaryExit(Container): + epoch: Epoch # Earliest epoch when voluntary exit can be processed + validator_index: ValidatorIndex + + +class SignedVoluntaryExit(Container): + message: VoluntaryExit + signature: BLSSignature + + +class SignedBeaconBlockHeader(Container): + message: BeaconBlockHeader + signature: BLSSignature + + +class ProposerSlashing(Container): + signed_header_1: SignedBeaconBlockHeader + signed_header_2: SignedBeaconBlockHeader + + +class Eth1Block(Container): + timestamp: uint64 + deposit_root: Root + deposit_count: uint64 + # All other eth1 block fields + + +class AggregateAndProof(Container): + aggregator_index: ValidatorIndex + aggregate: Attestation + selection_proof: BLSSignature + + +class SignedAggregateAndProof(Container): + message: AggregateAndProof + signature: BLSSignature + + +class SyncAggregate(Container): + sync_committee_bits: Bitvector[SYNC_COMMITTEE_SIZE] + sync_committee_signature: BLSSignature + + +class SyncCommittee(Container): + pubkeys: Vector[BLSPubkey, SYNC_COMMITTEE_SIZE] + aggregate_pubkey: BLSPubkey + + +class SyncCommitteeMessage(Container): + # Slot to which this contribution pertains + slot: Slot + # Block root for this signature + beacon_block_root: Root + # Index of the validator that produced this signature + validator_index: ValidatorIndex + # Signature by the validator over the block root of `slot` + signature: BLSSignature + + +class SyncCommitteeContribution(Container): + # Slot to which this contribution pertains + slot: Slot + # Block root for this contribution + beacon_block_root: Root + # The subcommittee this contribution pertains to out of the broader sync committee + subcommittee_index: uint64 + # A bit is set if a signature from the validator at the corresponding + # index in the subcommittee is present in the aggregate `signature`. + aggregation_bits: Bitvector[SYNC_COMMITTEE_SIZE // SYNC_COMMITTEE_SUBNET_COUNT] + # Signature by the validator(s) over the block root of `slot` + signature: BLSSignature + + +class ContributionAndProof(Container): + aggregator_index: ValidatorIndex + contribution: SyncCommitteeContribution + selection_proof: BLSSignature + + +class SignedContributionAndProof(Container): + message: ContributionAndProof + signature: BLSSignature + + +class SyncAggregatorSelectionData(Container): + slot: Slot + subcommittee_index: uint64 + + +class ExecutionPayloadHeader(Container): + # Execution block header fields + parent_hash: Hash32 + fee_recipient: ExecutionAddress + state_root: Bytes32 + receipts_root: Bytes32 + logs_bloom: ByteVector[BYTES_PER_LOGS_BLOOM] + prev_randao: Bytes32 + block_number: uint64 + gas_limit: uint64 + gas_used: uint64 + timestamp: uint64 + extra_data: ByteList[MAX_EXTRA_DATA_BYTES] + base_fee_per_gas: uint256 + # Extra payload fields + block_hash: Hash32 # Hash of execution block + transactions_root: Root + withdrawals_root: Root + blob_gas_used: uint64 # [New in Deneb:EIP4844] + excess_blob_gas: uint64 # [New in Deneb:EIP4844] + + +class LightClientHeader(Container): + # Beacon block header + beacon: BeaconBlockHeader + # Execution payload header corresponding to `beacon.body_root` (from Capella onward) + execution: ExecutionPayloadHeader + execution_branch: ExecutionBranch + + +class LightClientOptimisticUpdate(Container): + # Header attested to by the sync committee + attested_header: LightClientHeader + # Sync committee aggregate signature + sync_aggregate: SyncAggregate + # Slot at which the aggregate signature was created (untrusted) + signature_slot: Slot + + +class LightClientFinalityUpdate(Container): + # Header attested to by the sync committee + attested_header: LightClientHeader + # Finalized header corresponding to `attested_header.beacon.state_root` + finalized_header: LightClientHeader + finality_branch: FinalityBranch + # Sync committee aggregate signature + sync_aggregate: SyncAggregate + # Slot at which the aggregate signature was created (untrusted) + signature_slot: Slot + + +class LightClientUpdate(Container): + # Header attested to by the sync committee + attested_header: LightClientHeader + # Next sync committee corresponding to `attested_header.beacon.state_root` + next_sync_committee: SyncCommittee + next_sync_committee_branch: NextSyncCommitteeBranch + # Finalized header corresponding to `attested_header.beacon.state_root` + finalized_header: LightClientHeader + finality_branch: FinalityBranch + # Sync committee aggregate signature + sync_aggregate: SyncAggregate + # Slot at which the aggregate signature was created (untrusted) + signature_slot: Slot + + +class LightClientBootstrap(Container): + # Header matching the requested beacon block root + header: LightClientHeader + # Current sync committee corresponding to `header.beacon.state_root` + current_sync_committee: SyncCommittee + current_sync_committee_branch: CurrentSyncCommitteeBranch + + +class PowBlock(Container): + block_hash: Hash32 + parent_hash: Hash32 + total_difficulty: uint256 + + +class Withdrawal(Container): + index: WithdrawalIndex + validator_index: ValidatorIndex + address: ExecutionAddress + amount: Gwei + + +class ExecutionPayload(Container): + # Execution block header fields + parent_hash: Hash32 + fee_recipient: ExecutionAddress # 'beneficiary' in the yellow paper + state_root: Bytes32 + receipts_root: Bytes32 + logs_bloom: ByteVector[BYTES_PER_LOGS_BLOOM] + prev_randao: Bytes32 # 'difficulty' in the yellow paper + block_number: uint64 # 'number' in the yellow paper + gas_limit: uint64 + gas_used: uint64 + timestamp: uint64 + extra_data: ByteList[MAX_EXTRA_DATA_BYTES] + base_fee_per_gas: uint256 + # Extra payload fields + block_hash: Hash32 # Hash of execution block + transactions: List[Transaction, MAX_TRANSACTIONS_PER_PAYLOAD] + withdrawals: List[Withdrawal, MAX_WITHDRAWALS_PER_PAYLOAD] + blob_gas_used: uint64 # [New in Deneb:EIP4844] + excess_blob_gas: uint64 # [New in Deneb:EIP4844] + + +class BLSToExecutionChange(Container): + validator_index: ValidatorIndex + from_bls_pubkey: BLSPubkey + to_execution_address: ExecutionAddress + + +class SignedBLSToExecutionChange(Container): + message: BLSToExecutionChange + signature: BLSSignature + + +class BeaconBlockBody(Container): + randao_reveal: BLSSignature + eth1_data: Eth1Data # Eth1 data vote + graffiti: Bytes32 # Arbitrary data + # Operations + proposer_slashings: List[ProposerSlashing, MAX_PROPOSER_SLASHINGS] + attester_slashings: List[AttesterSlashing, MAX_ATTESTER_SLASHINGS] + attestations: List[Attestation, MAX_ATTESTATIONS] + deposits: List[Deposit, MAX_DEPOSITS] + voluntary_exits: List[SignedVoluntaryExit, MAX_VOLUNTARY_EXITS] + sync_aggregate: SyncAggregate + # Execution + execution_payload: ExecutionPayload # [Modified in Deneb:EIP4844] + bls_to_execution_changes: List[SignedBLSToExecutionChange, MAX_BLS_TO_EXECUTION_CHANGES] + blob_kzg_commitments: List[KZGCommitment, MAX_BLOB_COMMITMENTS_PER_BLOCK] # [New in Deneb:EIP4844] + + +class BeaconBlock(Container): + slot: Slot + proposer_index: ValidatorIndex + parent_root: Root + state_root: Root + body: BeaconBlockBody + + +class SignedBeaconBlock(Container): + message: BeaconBlock + signature: BLSSignature + + +class HistoricalSummary(Container): + """ + `HistoricalSummary` matches the components of the phase0 `HistoricalBatch` + making the two hash_tree_root-compatible. + """ + block_summary_root: Root + state_summary_root: Root + + +class BeaconState(Container): + # Versioning + genesis_time: uint64 + genesis_validators_root: Root + slot: Slot + fork: Fork + # History + latest_block_header: BeaconBlockHeader + block_roots: Vector[Root, SLOTS_PER_HISTORICAL_ROOT] + state_roots: Vector[Root, SLOTS_PER_HISTORICAL_ROOT] + historical_roots: List[Root, HISTORICAL_ROOTS_LIMIT] # Frozen in Capella, replaced by historical_summaries + # Eth1 + eth1_data: Eth1Data + eth1_data_votes: List[Eth1Data, EPOCHS_PER_ETH1_VOTING_PERIOD * SLOTS_PER_EPOCH] + eth1_deposit_index: uint64 + # Registry + validators: List[Validator, VALIDATOR_REGISTRY_LIMIT] + balances: List[Gwei, VALIDATOR_REGISTRY_LIMIT] + # Randomness + randao_mixes: Vector[Bytes32, EPOCHS_PER_HISTORICAL_VECTOR] + # Slashings + slashings: Vector[Gwei, EPOCHS_PER_SLASHINGS_VECTOR] # Per-epoch sums of slashed effective balances + # Participation + previous_epoch_participation: List[ParticipationFlags, VALIDATOR_REGISTRY_LIMIT] + current_epoch_participation: List[ParticipationFlags, VALIDATOR_REGISTRY_LIMIT] + # Finality + justification_bits: Bitvector[JUSTIFICATION_BITS_LENGTH] # Bit set for every recent justified epoch + previous_justified_checkpoint: Checkpoint + current_justified_checkpoint: Checkpoint + finalized_checkpoint: Checkpoint + # Inactivity + inactivity_scores: List[uint64, VALIDATOR_REGISTRY_LIMIT] + # Sync + current_sync_committee: SyncCommittee + next_sync_committee: SyncCommittee + # Execution + latest_execution_payload_header: ExecutionPayloadHeader # [Modified in Capella] + # Withdrawals + next_withdrawal_index: WithdrawalIndex # [New in Capella] + next_withdrawal_validator_index: ValidatorIndex # [New in Capella] + # Deep history valid from Capella onwards + historical_summaries: List[HistoricalSummary, HISTORICAL_ROOTS_LIMIT] # [New in Capella] + + +class BlobSidecar(Container): + index: BlobIndex # Index of blob in block + blob: Blob + kzg_commitment: KZGCommitment + kzg_proof: KZGProof # Allows for quick verification of kzg_commitment + signed_block_header: SignedBeaconBlockHeader + kzg_commitment_inclusion_proof: Vector[Bytes32, KZG_COMMITMENT_INCLUSION_PROOF_DEPTH] + + +class BlobIdentifier(Container): + block_root: Root + index: BlobIndex + + +@dataclass(eq=True, frozen=True) +class LatestMessage(object): + epoch: Epoch + root: Root + + +@dataclass +class Store(object): + time: uint64 + genesis_time: uint64 + justified_checkpoint: Checkpoint + finalized_checkpoint: Checkpoint + unrealized_justified_checkpoint: Checkpoint + unrealized_finalized_checkpoint: Checkpoint + proposer_boost_root: Root + equivocating_indices: Set[ValidatorIndex] + blocks: Dict[Root, BeaconBlock] = field(default_factory=dict) + block_states: Dict[Root, BeaconState] = field(default_factory=dict) + block_timeliness: Dict[Root, boolean] = field(default_factory=dict) + checkpoint_states: Dict[Checkpoint, BeaconState] = field(default_factory=dict) + latest_messages: Dict[ValidatorIndex, LatestMessage] = field(default_factory=dict) + unrealized_justifications: Dict[Root, Checkpoint] = field(default_factory=dict) + + +@dataclass +class LightClientStore(object): + # Header that is finalized + finalized_header: LightClientHeader + # Sync committees corresponding to the finalized header + current_sync_committee: SyncCommittee + next_sync_committee: SyncCommittee + # Best available header to switch finalized head to if we see nothing else + best_valid_update: Optional[LightClientUpdate] + # Most recent available reasonably-safe header + optimistic_header: LightClientHeader + # Max number of active participants in a sync committee (used to calculate safety threshold) + previous_max_active_participants: uint64 + current_max_active_participants: uint64 + + +@dataclass +class NewPayloadRequest(object): + execution_payload: ExecutionPayload + versioned_hashes: Sequence[VersionedHash] + parent_beacon_block_root: Root + + +@dataclass +class PayloadAttributes(object): + timestamp: uint64 + prev_randao: Bytes32 + suggested_fee_recipient: ExecutionAddress + withdrawals: Sequence[Withdrawal] + parent_beacon_block_root: Root # [New in Deneb:EIP4788] + + +@dataclass +class OptimisticStore(object): + optimistic_roots: Set[Root] + head_block_root: Root + blocks: Dict[Root, BeaconBlock] = field(default_factory=dict) + block_states: Dict[Root, BeaconState] = field(default_factory=dict) + + +@dataclass +class BlobsBundle(object): + commitments: Sequence[KZGCommitment] + proofs: Sequence[KZGProof] + blobs: Sequence[Blob] + + +@dataclass +class GetPayloadResponse(object): + execution_payload: ExecutionPayload + block_value: uint256 + blobs_bundle: BlobsBundle # [New in Deneb:EIP4844] + + +class ExecutionEngine(Protocol): + + def notify_new_payload(self, + execution_payload: ExecutionPayload, + parent_beacon_block_root: Root) -> bool: + """ + Return ``True`` if and only if ``execution_payload`` is valid with respect to ``self.execution_state``. + """ + ... + + def is_valid_block_hash(self, + execution_payload: ExecutionPayload, + parent_beacon_block_root: Root) -> bool: + """ + Return ``True`` if and only if ``execution_payload.block_hash`` is computed correctly. + """ + ... + + def verify_and_notify_new_payload(self, + new_payload_request: NewPayloadRequest) -> bool: + ... + + def notify_forkchoice_updated(self, + head_block_hash: Hash32, + safe_block_hash: Hash32, + finalized_block_hash: Hash32, + payload_attributes: Optional[PayloadAttributes]) -> Optional[PayloadId]: + ... + + def get_payload(self, payload_id: PayloadId) -> GetPayloadResponse: + """ + Return ExecutionPayload, uint256, BlobsBundle objects. + """ + # pylint: disable=unused-argument + ... + + def is_valid_versioned_hashes(self, new_payload_request: NewPayloadRequest) -> bool: + """ + Return ``True`` if and only if the version hashes computed by the blob transactions of + ``new_payload_request.execution_payload`` matches ``new_payload_request.version_hashes``. + """ + ... + + +def compute_weak_subjectivity_period(state: BeaconState) -> uint64: + """ + Returns the weak subjectivity period for the current ``state``. + This computation takes into account the effect of: + - validator set churn (bounded by ``get_validator_churn_limit()`` per epoch), and + - validator balance top-ups (bounded by ``MAX_DEPOSITS * SLOTS_PER_EPOCH`` per epoch). + A detailed calculation can be found at: + https://github.com/runtimeverification/beacon-chain-verification/blob/master/weak-subjectivity/weak-subjectivity-analysis.pdf + """ + ws_period = config.MIN_VALIDATOR_WITHDRAWABILITY_DELAY + N = len(get_active_validator_indices(state, get_current_epoch(state))) + t = get_total_active_balance(state) // N // ETH_TO_GWEI + T = MAX_EFFECTIVE_BALANCE // ETH_TO_GWEI + delta = get_validator_churn_limit(state) + Delta = MAX_DEPOSITS * SLOTS_PER_EPOCH + D = SAFETY_DECAY + + if T * (200 + 3 * D) < t * (200 + 12 * D): + epochs_for_validator_set_churn = ( + N * (t * (200 + 12 * D) - T * (200 + 3 * D)) // (600 * delta * (2 * t + T)) + ) + epochs_for_balance_top_ups = ( + N * (200 + 3 * D) // (600 * Delta) + ) + ws_period += max(epochs_for_validator_set_churn, epochs_for_balance_top_ups) + else: + ws_period += ( + 3 * N * D * t // (200 * Delta * (T - t)) + ) + + return ws_period + + +def is_within_weak_subjectivity_period(store: Store, ws_state: BeaconState, ws_checkpoint: Checkpoint) -> bool: + # Clients may choose to validate the input state against the input Weak Subjectivity Checkpoint + assert ws_state.latest_block_header.state_root == ws_checkpoint.root + assert compute_epoch_at_slot(ws_state.slot) == ws_checkpoint.epoch + + ws_period = compute_weak_subjectivity_period(ws_state) + ws_state_epoch = compute_epoch_at_slot(ws_state.slot) + current_epoch = compute_epoch_at_slot(get_current_slot(store)) + return current_epoch <= ws_state_epoch + ws_period + + +def compute_subscribed_subnet(node_id: NodeID, epoch: Epoch, index: int) -> SubnetID: + node_id_prefix = node_id >> (NODE_ID_BITS - config.ATTESTATION_SUBNET_PREFIX_BITS) + node_offset = node_id % config.EPOCHS_PER_SUBNET_SUBSCRIPTION + permutation_seed = hash(uint_to_bytes(uint64((epoch + node_offset) // config.EPOCHS_PER_SUBNET_SUBSCRIPTION))) + permutated_prefix = compute_shuffled_index( + node_id_prefix, + 1 << config.ATTESTATION_SUBNET_PREFIX_BITS, + permutation_seed, + ) + return SubnetID((permutated_prefix + index) % config.ATTESTATION_SUBNET_COUNT) + + +def compute_subscribed_subnets(node_id: NodeID, epoch: Epoch) -> Sequence[SubnetID]: + return [compute_subscribed_subnet(node_id, epoch, index) for index in range(config.SUBNETS_PER_NODE)] + + +def integer_squareroot(n: uint64) -> uint64: + """ + Return the largest integer ``x`` such that ``x**2 <= n``. + """ + if n == UINT64_MAX: + return UINT64_MAX_SQRT + x = n + y = (x + 1) // 2 + while y < x: + x = y + y = (x + n // x) // 2 + return x + + +def xor(bytes_1: Bytes32, bytes_2: Bytes32) -> Bytes32: + """ + Return the exclusive-or of two 32-byte strings. + """ + return Bytes32(a ^ b for a, b in zip(bytes_1, bytes_2)) + + +def bytes_to_uint64(data: bytes) -> uint64: + """ + Return the integer deserialization of ``data`` interpreted as ``ENDIANNESS``-endian. + """ + return uint64(int.from_bytes(data, ENDIANNESS)) + + +def saturating_sub(a: int, b: int) -> int: + """ + Computes a - b, saturating at numeric bounds. + """ + return a - b if a > b else 0 + + +def is_active_validator(validator: Validator, epoch: Epoch) -> bool: + """ + Check if ``validator`` is active. + """ + return validator.activation_epoch <= epoch < validator.exit_epoch + + +def is_eligible_for_activation_queue(validator: Validator) -> bool: + """ + Check if ``validator`` is eligible to be placed into the activation queue. + """ + return ( + validator.activation_eligibility_epoch == FAR_FUTURE_EPOCH + and validator.effective_balance == MAX_EFFECTIVE_BALANCE + ) + + +def is_eligible_for_activation(state: BeaconState, validator: Validator) -> bool: + """ + Check if ``validator`` is eligible for activation. + """ + return ( + # Placement in queue is finalized + validator.activation_eligibility_epoch <= state.finalized_checkpoint.epoch + # Has not yet been activated + and validator.activation_epoch == FAR_FUTURE_EPOCH + ) + + +def is_slashable_validator(validator: Validator, epoch: Epoch) -> bool: + """ + Check if ``validator`` is slashable. + """ + return (not validator.slashed) and (validator.activation_epoch <= epoch < validator.withdrawable_epoch) + + +def is_slashable_attestation_data(data_1: AttestationData, data_2: AttestationData) -> bool: + """ + Check if ``data_1`` and ``data_2`` are slashable according to Casper FFG rules. + """ + return ( + # Double vote + (data_1 != data_2 and data_1.target.epoch == data_2.target.epoch) or + # Surround vote + (data_1.source.epoch < data_2.source.epoch and data_2.target.epoch < data_1.target.epoch) + ) + + +def is_valid_indexed_attestation(state: BeaconState, indexed_attestation: IndexedAttestation) -> bool: + """ + Check if ``indexed_attestation`` is not empty, has sorted and unique indices and has a valid aggregate signature. + """ + # Verify indices are sorted and unique + indices = indexed_attestation.attesting_indices + if len(indices) == 0 or not indices == sorted(set(indices)): + return False + # Verify aggregate signature + pubkeys = [state.validators[i].pubkey for i in indices] + domain = get_domain(state, DOMAIN_BEACON_ATTESTER, indexed_attestation.data.target.epoch) + signing_root = compute_signing_root(indexed_attestation.data, domain) + return bls.FastAggregateVerify(pubkeys, signing_root, indexed_attestation.signature) + + +def is_valid_merkle_branch(leaf: Bytes32, branch: Sequence[Bytes32], depth: uint64, index: uint64, root: Root) -> bool: + """ + Check if ``leaf`` at ``index`` verifies against the Merkle ``root`` and ``branch``. + """ + value = leaf + for i in range(depth): + if index // (2**i) % 2: + value = hash(branch[i] + value) + else: + value = hash(value + branch[i]) + return value == root + + +def compute_shuffled_index(index: uint64, index_count: uint64, seed: Bytes32) -> uint64: + """ + Return the shuffled index corresponding to ``seed`` (and ``index_count``). + """ + assert index < index_count + + # Swap or not (https://link.springer.com/content/pdf/10.1007%2F978-3-642-32009-5_1.pdf) + # See the 'generalized domain' algorithm on page 3 + for current_round in range(SHUFFLE_ROUND_COUNT): + pivot = bytes_to_uint64(hash(seed + uint_to_bytes(uint8(current_round)))[0:8]) % index_count + flip = (pivot + index_count - index) % index_count + position = max(index, flip) + source = hash( + seed + + uint_to_bytes(uint8(current_round)) + + uint_to_bytes(uint32(position // 256)) + ) + byte = uint8(source[(position % 256) // 8]) + bit = (byte >> (position % 8)) % 2 + index = flip if bit else index + + return index + + +def compute_proposer_index(state: BeaconState, indices: Sequence[ValidatorIndex], seed: Bytes32) -> ValidatorIndex: + """ + Return from ``indices`` a random index sampled by effective balance. + """ + assert len(indices) > 0 + MAX_RANDOM_BYTE = 2**8 - 1 + i = uint64(0) + total = uint64(len(indices)) + while True: + candidate_index = indices[compute_shuffled_index(i % total, total, seed)] + random_byte = hash(seed + uint_to_bytes(uint64(i // 32)))[i % 32] + effective_balance = state.validators[candidate_index].effective_balance + if effective_balance * MAX_RANDOM_BYTE >= MAX_EFFECTIVE_BALANCE * random_byte: + return candidate_index + i += 1 + + +def compute_committee(indices: Sequence[ValidatorIndex], + seed: Bytes32, + index: uint64, + count: uint64) -> Sequence[ValidatorIndex]: + """ + Return the committee corresponding to ``indices``, ``seed``, ``index``, and committee ``count``. + """ + start = (len(indices) * index) // count + end = (len(indices) * uint64(index + 1)) // count + return [indices[compute_shuffled_index(uint64(i), uint64(len(indices)), seed)] for i in range(start, end)] + + +def compute_epoch_at_slot(slot: Slot) -> Epoch: + """ + Return the epoch number at ``slot``. + """ + return Epoch(slot // SLOTS_PER_EPOCH) + + +def compute_start_slot_at_epoch(epoch: Epoch) -> Slot: + """ + Return the start slot of ``epoch``. + """ + return Slot(epoch * SLOTS_PER_EPOCH) + + +def compute_activation_exit_epoch(epoch: Epoch) -> Epoch: + """ + Return the epoch during which validator activations and exits initiated in ``epoch`` take effect. + """ + return Epoch(epoch + 1 + MAX_SEED_LOOKAHEAD) + + +def compute_fork_data_root(current_version: Version, genesis_validators_root: Root) -> Root: + """ + 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. + """ + return hash_tree_root(ForkData( + current_version=current_version, + genesis_validators_root=genesis_validators_root, + )) + + +def compute_fork_digest(current_version: Version, genesis_validators_root: Root) -> 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. + """ + return ForkDigest(compute_fork_data_root(current_version, genesis_validators_root)[:4]) + + +def compute_domain(domain_type: DomainType, fork_version: Version=None, genesis_validators_root: Root=None) -> Domain: + """ + Return the domain for the ``domain_type`` and ``fork_version``. + """ + if fork_version is None: + fork_version = config.GENESIS_FORK_VERSION + if genesis_validators_root is None: + genesis_validators_root = Root() # all bytes zero by default + fork_data_root = compute_fork_data_root(fork_version, genesis_validators_root) + return Domain(domain_type + fork_data_root[:28]) + + +def compute_signing_root(ssz_object: SSZObject, domain: Domain) -> Root: + """ + Return the signing root for the corresponding signing data. + """ + return hash_tree_root(SigningData( + object_root=hash_tree_root(ssz_object), + domain=domain, + )) + + +def get_current_epoch(state: BeaconState) -> Epoch: + """ + Return the current epoch. + """ + return compute_epoch_at_slot(state.slot) + + +def get_previous_epoch(state: BeaconState) -> Epoch: + """` + Return the previous epoch (unless the current epoch is ``GENESIS_EPOCH``). + """ + current_epoch = get_current_epoch(state) + return GENESIS_EPOCH if current_epoch == GENESIS_EPOCH else Epoch(current_epoch - 1) + + +def get_block_root(state: BeaconState, epoch: Epoch) -> Root: + """ + Return the block root at the start of a recent ``epoch``. + """ + return get_block_root_at_slot(state, compute_start_slot_at_epoch(epoch)) + + +def get_block_root_at_slot(state: BeaconState, slot: Slot) -> Root: + """ + Return the block root at a recent ``slot``. + """ + assert slot < state.slot <= slot + SLOTS_PER_HISTORICAL_ROOT + return state.block_roots[slot % SLOTS_PER_HISTORICAL_ROOT] + + +def get_randao_mix(state: BeaconState, epoch: Epoch) -> Bytes32: + """ + Return the randao mix at a recent ``epoch``. + """ + return state.randao_mixes[epoch % EPOCHS_PER_HISTORICAL_VECTOR] + + +def get_active_validator_indices(state: BeaconState, epoch: Epoch) -> Sequence[ValidatorIndex]: + """ + Return the sequence of active validator indices at ``epoch``. + """ + return [ValidatorIndex(i) for i, v in enumerate(state.validators) if is_active_validator(v, epoch)] + + +def get_validator_churn_limit(state: BeaconState) -> uint64: + """ + Return the validator churn limit for the current epoch. + """ + active_validator_indices = get_active_validator_indices(state, get_current_epoch(state)) + return max(config.MIN_PER_EPOCH_CHURN_LIMIT, uint64(len(active_validator_indices)) // config.CHURN_LIMIT_QUOTIENT) + + +def get_seed(state: BeaconState, epoch: Epoch, domain_type: DomainType) -> Bytes32: + """ + Return the seed at ``epoch``. + """ + mix = get_randao_mix(state, Epoch(epoch + EPOCHS_PER_HISTORICAL_VECTOR - MIN_SEED_LOOKAHEAD - 1)) # Avoid underflow + return hash(domain_type + uint_to_bytes(epoch) + mix) + + +def get_committee_count_per_slot(state: BeaconState, epoch: Epoch) -> uint64: + """ + Return the number of committees in each slot for the given ``epoch``. + """ + return max(uint64(1), min( + MAX_COMMITTEES_PER_SLOT, + uint64(len(get_active_validator_indices(state, epoch))) // SLOTS_PER_EPOCH // TARGET_COMMITTEE_SIZE, + )) + + +def get_beacon_committee(state: BeaconState, slot: Slot, index: CommitteeIndex) -> Sequence[ValidatorIndex]: + """ + Return the beacon committee at ``slot`` for ``index``. + """ + epoch = compute_epoch_at_slot(slot) + committees_per_slot = get_committee_count_per_slot(state, epoch) + return compute_committee( + indices=get_active_validator_indices(state, epoch), + seed=get_seed(state, epoch, DOMAIN_BEACON_ATTESTER), + index=(slot % SLOTS_PER_EPOCH) * committees_per_slot + index, + count=committees_per_slot * SLOTS_PER_EPOCH, + ) + + +def get_beacon_proposer_index(state: BeaconState) -> ValidatorIndex: + """ + Return the beacon proposer index at the current slot. + """ + epoch = get_current_epoch(state) + seed = hash(get_seed(state, epoch, DOMAIN_BEACON_PROPOSER) + uint_to_bytes(state.slot)) + indices = get_active_validator_indices(state, epoch) + return compute_proposer_index(state, indices, seed) + + +def get_total_balance(state: BeaconState, indices: Set[ValidatorIndex]) -> Gwei: + """ + Return the combined effective balance of the ``indices``. + ``EFFECTIVE_BALANCE_INCREMENT`` Gwei minimum to avoid divisions by zero. + Math safe up to ~10B ETH, after which this overflows uint64. + """ + return Gwei(max(EFFECTIVE_BALANCE_INCREMENT, sum([state.validators[index].effective_balance for index in indices]))) + + +def get_total_active_balance(state: BeaconState) -> Gwei: + """ + Return the combined effective balance of the active validators. + Note: ``get_total_balance`` returns ``EFFECTIVE_BALANCE_INCREMENT`` Gwei minimum to avoid divisions by zero. + """ + return get_total_balance(state, set(get_active_validator_indices(state, get_current_epoch(state)))) + + +def get_domain(state: BeaconState, domain_type: DomainType, epoch: Epoch=None) -> Domain: + """ + Return the signature domain (fork version concatenated with domain type) of a message. + """ + epoch = get_current_epoch(state) if epoch is None else epoch + fork_version = state.fork.previous_version if epoch < state.fork.epoch else state.fork.current_version + return compute_domain(domain_type, fork_version, state.genesis_validators_root) + + +def get_indexed_attestation(state: BeaconState, attestation: Attestation) -> IndexedAttestation: + """ + Return the indexed attestation corresponding to ``attestation``. + """ + attesting_indices = get_attesting_indices(state, attestation) + + return IndexedAttestation( + attesting_indices=sorted(attesting_indices), + data=attestation.data, + signature=attestation.signature, + ) + + +def get_attesting_indices(state: BeaconState, attestation: Attestation) -> Set[ValidatorIndex]: + """ + Return the set of attesting indices corresponding to ``aggregation_bits`` and ``committee_bits``. + """ + + output = set() + committee_indices = get_committee_indices(attestation.committee_bits) + for index in committee_indices: + attesting_bits = attestation.aggregation_bits[index] + committee = get_beacon_committee(state, attestation.data.slot, index) + committee_attesters = set(index for i, index in enumerate(committee) if attesting_bits[i]) + output = output.union(committee_attesters) + + return output + + +def increase_balance(state: BeaconState, index: ValidatorIndex, delta: Gwei) -> None: + """ + Increase the validator balance at index ``index`` by ``delta``. + """ + state.balances[index] += delta + + +def decrease_balance(state: BeaconState, index: ValidatorIndex, delta: Gwei) -> None: + """ + Decrease the validator balance at index ``index`` by ``delta``, with underflow protection. + """ + state.balances[index] = 0 if delta > state.balances[index] else state.balances[index] - delta + + +def initiate_validator_exit(state: BeaconState, index: ValidatorIndex) -> None: + """ + Initiate the exit of the validator with index ``index``. + """ + # Return if validator already initiated exit + validator = state.validators[index] + if validator.exit_epoch != FAR_FUTURE_EPOCH: + return + + # Compute exit queue epoch + exit_epochs = [v.exit_epoch for v in state.validators if v.exit_epoch != FAR_FUTURE_EPOCH] + exit_queue_epoch = max(exit_epochs + [compute_activation_exit_epoch(get_current_epoch(state))]) + exit_queue_churn = len([v for v in state.validators if v.exit_epoch == exit_queue_epoch]) + if exit_queue_churn >= get_validator_churn_limit(state): + exit_queue_epoch += Epoch(1) + + # Set validator exit epoch and withdrawable epoch + validator.exit_epoch = exit_queue_epoch + validator.withdrawable_epoch = Epoch(validator.exit_epoch + config.MIN_VALIDATOR_WITHDRAWABILITY_DELAY) + + +def slash_validator(state: BeaconState, + slashed_index: ValidatorIndex, + whistleblower_index: ValidatorIndex=None) -> None: + """ + Slash the validator with index ``slashed_index``. + """ + epoch = get_current_epoch(state) + initiate_validator_exit(state, slashed_index) + validator = state.validators[slashed_index] + validator.slashed = True + validator.withdrawable_epoch = max(validator.withdrawable_epoch, Epoch(epoch + EPOCHS_PER_SLASHINGS_VECTOR)) + state.slashings[epoch % EPOCHS_PER_SLASHINGS_VECTOR] += validator.effective_balance + slashing_penalty = validator.effective_balance // MIN_SLASHING_PENALTY_QUOTIENT_BELLATRIX # [Modified in Bellatrix] + decrease_balance(state, slashed_index, slashing_penalty) + + # Apply proposer and whistleblower rewards + proposer_index = get_beacon_proposer_index(state) + if whistleblower_index is None: + whistleblower_index = proposer_index + whistleblower_reward = Gwei(validator.effective_balance // WHISTLEBLOWER_REWARD_QUOTIENT) + proposer_reward = Gwei(whistleblower_reward * PROPOSER_WEIGHT // WEIGHT_DENOMINATOR) + increase_balance(state, proposer_index, proposer_reward) + increase_balance(state, whistleblower_index, Gwei(whistleblower_reward - proposer_reward)) + + +def initialize_beacon_state_from_eth1(eth1_block_hash: Hash32, + eth1_timestamp: uint64, + deposits: Sequence[Deposit], + execution_payload_header: ExecutionPayloadHeader=ExecutionPayloadHeader() + ) -> BeaconState: + fork = Fork( + previous_version=config.DENEB_FORK_VERSION, # [Modified in Deneb] for testing only + current_version=config.DENEB_FORK_VERSION, # [Modified in Deneb] + epoch=GENESIS_EPOCH, + ) + state = BeaconState( + genesis_time=eth1_timestamp + config.GENESIS_DELAY, + fork=fork, + eth1_data=Eth1Data(block_hash=eth1_block_hash, deposit_count=uint64(len(deposits))), + latest_block_header=BeaconBlockHeader(body_root=hash_tree_root(BeaconBlockBody())), + randao_mixes=[eth1_block_hash] * EPOCHS_PER_HISTORICAL_VECTOR, # Seed RANDAO with Eth1 entropy + ) + + # Process deposits + leaves = list(map(lambda deposit: deposit.data, deposits)) + for index, deposit in enumerate(deposits): + deposit_data_list = List[DepositData, 2**DEPOSIT_CONTRACT_TREE_DEPTH](*leaves[:index + 1]) + state.eth1_data.deposit_root = hash_tree_root(deposit_data_list) + process_deposit(state, deposit) + + # Process activations + for index, validator in enumerate(state.validators): + balance = state.balances[index] + validator.effective_balance = min(balance - balance % EFFECTIVE_BALANCE_INCREMENT, MAX_EFFECTIVE_BALANCE) + if validator.effective_balance == MAX_EFFECTIVE_BALANCE: + validator.activation_eligibility_epoch = GENESIS_EPOCH + validator.activation_epoch = GENESIS_EPOCH + + # Set genesis validators root for domain separation and chain versioning + state.genesis_validators_root = hash_tree_root(state.validators) + + # Fill in sync committees + # Note: A duplicate committee is assigned for the current and next committee at genesis + state.current_sync_committee = get_next_sync_committee(state) + state.next_sync_committee = get_next_sync_committee(state) + + # Initialize the execution payload header + # If empty, will initialize a chain that has not yet gone through the Merge transition + state.latest_execution_payload_header = execution_payload_header + + return state + + +def is_valid_genesis_state(state: BeaconState) -> bool: + if state.genesis_time < config.MIN_GENESIS_TIME: + return False + if len(get_active_validator_indices(state, GENESIS_EPOCH)) < config.MIN_GENESIS_ACTIVE_VALIDATOR_COUNT: + return False + return True + + +def state_transition(state: BeaconState, signed_block: SignedBeaconBlock, validate_result: bool=True) -> None: + block = signed_block.message + # Process slots (including those with no blocks) since block + process_slots(state, block.slot) + # Verify signature + if validate_result: + assert verify_block_signature(state, signed_block) + # Process block + process_block(state, block) + # Verify state root + if validate_result: + assert block.state_root == hash_tree_root(state) + + +def verify_block_signature(state: BeaconState, signed_block: SignedBeaconBlock) -> bool: + proposer = state.validators[signed_block.message.proposer_index] + signing_root = compute_signing_root(signed_block.message, get_domain(state, DOMAIN_BEACON_PROPOSER)) + return bls.Verify(proposer.pubkey, signing_root, signed_block.signature) + + +def process_slots(state: BeaconState, slot: Slot) -> None: + assert state.slot < slot + while state.slot < slot: + process_slot(state) + # Process epoch on the start slot of the next epoch + if (state.slot + 1) % SLOTS_PER_EPOCH == 0: + process_epoch(state) + state.slot = Slot(state.slot + 1) + + +def process_slot(state: BeaconState) -> None: + # Cache state root + previous_state_root = hash_tree_root(state) + state.state_roots[state.slot % SLOTS_PER_HISTORICAL_ROOT] = previous_state_root + # Cache latest block header state root + if state.latest_block_header.state_root == Bytes32(): + state.latest_block_header.state_root = previous_state_root + # Cache block root + previous_block_root = hash_tree_root(state.latest_block_header) + state.block_roots[state.slot % SLOTS_PER_HISTORICAL_ROOT] = previous_block_root + + +def process_epoch(state: BeaconState) -> None: + process_justification_and_finalization(state) + process_inactivity_updates(state) + process_rewards_and_penalties(state) + process_registry_updates(state) + process_slashings(state) + process_eth1_data_reset(state) + process_effective_balance_updates(state) + process_slashings_reset(state) + process_randao_mixes_reset(state) + process_historical_summaries_update(state) # [Modified in Capella] + process_participation_flag_updates(state) + process_sync_committee_updates(state) + + +def get_matching_source_attestations(state: BeaconState, epoch: Epoch) -> Sequence[PendingAttestation]: + assert epoch in (get_previous_epoch(state), get_current_epoch(state)) + return state.current_epoch_attestations if epoch == get_current_epoch(state) else state.previous_epoch_attestations + + +def get_matching_target_attestations(state: BeaconState, epoch: Epoch) -> Sequence[PendingAttestation]: + return [ + a for a in get_matching_source_attestations(state, epoch) + if a.data.target.root == get_block_root(state, epoch) + ] + + +def get_matching_head_attestations(state: BeaconState, epoch: Epoch) -> Sequence[PendingAttestation]: + return [ + a for a in get_matching_target_attestations(state, epoch) + if a.data.beacon_block_root == get_block_root_at_slot(state, a.data.slot) + ] + + +def get_unslashed_attesting_indices(state: BeaconState, + attestations: Sequence[PendingAttestation]) -> Set[ValidatorIndex]: + output = set() # type: Set[ValidatorIndex] + for a in attestations: + output = output.union(get_attesting_indices(state, a)) + return set(filter(lambda index: not state.validators[index].slashed, output)) + + +def get_attesting_balance(state: BeaconState, attestations: Sequence[PendingAttestation]) -> Gwei: + """ + Return the combined effective balance of the set of unslashed validators participating in ``attestations``. + Note: ``get_total_balance`` returns ``EFFECTIVE_BALANCE_INCREMENT`` Gwei minimum to avoid divisions by zero. + """ + return get_total_balance(state, get_unslashed_attesting_indices(state, attestations)) + + +def process_justification_and_finalization(state: BeaconState) -> None: + # Initial FFG checkpoint values have a `0x00` stub for `root`. + # Skip FFG updates in the first two epochs to avoid corner cases that might result in modifying this stub. + if get_current_epoch(state) <= GENESIS_EPOCH + 1: + return + previous_indices = get_unslashed_participating_indices(state, TIMELY_TARGET_FLAG_INDEX, get_previous_epoch(state)) + current_indices = get_unslashed_participating_indices(state, TIMELY_TARGET_FLAG_INDEX, get_current_epoch(state)) + total_active_balance = get_total_active_balance(state) + previous_target_balance = get_total_balance(state, previous_indices) + current_target_balance = get_total_balance(state, current_indices) + weigh_justification_and_finalization(state, total_active_balance, previous_target_balance, current_target_balance) + + +def weigh_justification_and_finalization(state: BeaconState, + total_active_balance: Gwei, + previous_epoch_target_balance: Gwei, + current_epoch_target_balance: Gwei) -> None: + previous_epoch = get_previous_epoch(state) + current_epoch = get_current_epoch(state) + old_previous_justified_checkpoint = state.previous_justified_checkpoint + old_current_justified_checkpoint = state.current_justified_checkpoint + + # Process justifications + state.previous_justified_checkpoint = state.current_justified_checkpoint + state.justification_bits[1:] = state.justification_bits[:JUSTIFICATION_BITS_LENGTH - 1] + state.justification_bits[0] = 0b0 + if previous_epoch_target_balance * 3 >= total_active_balance * 2: + state.current_justified_checkpoint = Checkpoint(epoch=previous_epoch, + root=get_block_root(state, previous_epoch)) + state.justification_bits[1] = 0b1 + if current_epoch_target_balance * 3 >= total_active_balance * 2: + state.current_justified_checkpoint = Checkpoint(epoch=current_epoch, + root=get_block_root(state, current_epoch)) + state.justification_bits[0] = 0b1 + + # Process finalizations + bits = state.justification_bits + # The 2nd/3rd/4th most recent epochs are justified, the 2nd using the 4th as source + if all(bits[1:4]) and old_previous_justified_checkpoint.epoch + 3 == current_epoch: + state.finalized_checkpoint = old_previous_justified_checkpoint + # The 2nd/3rd most recent epochs are justified, the 2nd using the 3rd as source + if all(bits[1:3]) and old_previous_justified_checkpoint.epoch + 2 == current_epoch: + state.finalized_checkpoint = old_previous_justified_checkpoint + # The 1st/2nd/3rd most recent epochs are justified, the 1st using the 3rd as source + if all(bits[0:3]) and old_current_justified_checkpoint.epoch + 2 == current_epoch: + state.finalized_checkpoint = old_current_justified_checkpoint + # The 1st/2nd most recent epochs are justified, the 1st using the 2nd as source + if all(bits[0:2]) and old_current_justified_checkpoint.epoch + 1 == current_epoch: + state.finalized_checkpoint = old_current_justified_checkpoint + + +def get_base_reward(state: BeaconState, index: ValidatorIndex) -> Gwei: + """ + Return the base reward for the validator defined by ``index`` with respect to the current ``state``. + """ + increments = state.validators[index].effective_balance // EFFECTIVE_BALANCE_INCREMENT + return Gwei(increments * get_base_reward_per_increment(state)) + + +def get_proposer_reward(state: BeaconState, attesting_index: ValidatorIndex) -> Gwei: + return Gwei(get_base_reward(state, attesting_index) // PROPOSER_REWARD_QUOTIENT) + + +def get_finality_delay(state: BeaconState) -> uint64: + return get_previous_epoch(state) - state.finalized_checkpoint.epoch + + +def is_in_inactivity_leak(state: BeaconState) -> bool: + return get_finality_delay(state) > MIN_EPOCHS_TO_INACTIVITY_PENALTY + + +def get_eligible_validator_indices(state: BeaconState) -> Sequence[ValidatorIndex]: + previous_epoch = get_previous_epoch(state) + return [ + ValidatorIndex(index) for index, v in enumerate(state.validators) + if is_active_validator(v, previous_epoch) or (v.slashed and previous_epoch + 1 < v.withdrawable_epoch) + ] + + +def get_attestation_component_deltas(state: BeaconState, + attestations: Sequence[PendingAttestation] + ) -> Tuple[Sequence[Gwei], Sequence[Gwei]]: + """ + Helper with shared logic for use by get source, target, and head deltas functions + """ + rewards = [Gwei(0)] * len(state.validators) + penalties = [Gwei(0)] * len(state.validators) + total_balance = get_total_active_balance(state) + unslashed_attesting_indices = get_unslashed_attesting_indices(state, attestations) + attesting_balance = get_total_balance(state, unslashed_attesting_indices) + for index in get_eligible_validator_indices(state): + if index in unslashed_attesting_indices: + increment = EFFECTIVE_BALANCE_INCREMENT # Factored out from balance totals to avoid uint64 overflow + if is_in_inactivity_leak(state): + # Since full base reward will be canceled out by inactivity penalty deltas, + # optimal participation receives full base reward compensation here. + rewards[index] += get_base_reward(state, index) + else: + reward_numerator = get_base_reward(state, index) * (attesting_balance // increment) + rewards[index] += reward_numerator // (total_balance // increment) + else: + penalties[index] += get_base_reward(state, index) + return rewards, penalties + + +def get_source_deltas(state: BeaconState) -> Tuple[Sequence[Gwei], Sequence[Gwei]]: + """ + Return attester micro-rewards/penalties for source-vote for each validator. + """ + matching_source_attestations = get_matching_source_attestations(state, get_previous_epoch(state)) + return get_attestation_component_deltas(state, matching_source_attestations) + + +def get_target_deltas(state: BeaconState) -> Tuple[Sequence[Gwei], Sequence[Gwei]]: + """ + Return attester micro-rewards/penalties for target-vote for each validator. + """ + matching_target_attestations = get_matching_target_attestations(state, get_previous_epoch(state)) + return get_attestation_component_deltas(state, matching_target_attestations) + + +def get_head_deltas(state: BeaconState) -> Tuple[Sequence[Gwei], Sequence[Gwei]]: + """ + Return attester micro-rewards/penalties for head-vote for each validator. + """ + matching_head_attestations = get_matching_head_attestations(state, get_previous_epoch(state)) + return get_attestation_component_deltas(state, matching_head_attestations) + + +def get_inclusion_delay_deltas(state: BeaconState) -> Tuple[Sequence[Gwei], Sequence[Gwei]]: + """ + Return proposer and inclusion delay micro-rewards/penalties for each validator. + """ + rewards = [Gwei(0) for _ in range(len(state.validators))] + matching_source_attestations = get_matching_source_attestations(state, get_previous_epoch(state)) + for index in get_unslashed_attesting_indices(state, matching_source_attestations): + attestation = min([ + a for a in matching_source_attestations + if index in get_attesting_indices(state, a) + ], key=lambda a: a.inclusion_delay) + rewards[attestation.proposer_index] += get_proposer_reward(state, index) + max_attester_reward = Gwei(get_base_reward(state, index) - get_proposer_reward(state, index)) + rewards[index] += Gwei(max_attester_reward // attestation.inclusion_delay) + + # No penalties associated with inclusion delay + penalties = [Gwei(0) for _ in range(len(state.validators))] + return rewards, penalties + + +def get_inactivity_penalty_deltas(state: BeaconState) -> Tuple[Sequence[Gwei], Sequence[Gwei]]: + """ + Return the inactivity penalty deltas by considering timely target participation flags and inactivity scores. + """ + rewards = [Gwei(0) for _ in range(len(state.validators))] + penalties = [Gwei(0) for _ in range(len(state.validators))] + previous_epoch = get_previous_epoch(state) + matching_target_indices = get_unslashed_participating_indices(state, TIMELY_TARGET_FLAG_INDEX, previous_epoch) + for index in get_eligible_validator_indices(state): + if index not in matching_target_indices: + penalty_numerator = state.validators[index].effective_balance * state.inactivity_scores[index] + # [Modified in Bellatrix] + penalty_denominator = config.INACTIVITY_SCORE_BIAS * INACTIVITY_PENALTY_QUOTIENT_BELLATRIX + penalties[index] += Gwei(penalty_numerator // penalty_denominator) + return rewards, penalties + + +def get_attestation_deltas(state: BeaconState) -> Tuple[Sequence[Gwei], Sequence[Gwei]]: + """ + Return attestation reward/penalty deltas for each validator. + """ + source_rewards, source_penalties = get_source_deltas(state) + target_rewards, target_penalties = get_target_deltas(state) + head_rewards, head_penalties = get_head_deltas(state) + inclusion_delay_rewards, _ = get_inclusion_delay_deltas(state) + _, inactivity_penalties = get_inactivity_penalty_deltas(state) + + rewards = [ + source_rewards[i] + target_rewards[i] + head_rewards[i] + inclusion_delay_rewards[i] + for i in range(len(state.validators)) + ] + + penalties = [ + source_penalties[i] + target_penalties[i] + head_penalties[i] + inactivity_penalties[i] + for i in range(len(state.validators)) + ] + + return rewards, penalties + + +def process_rewards_and_penalties(state: BeaconState) -> None: + # No rewards are applied at the end of `GENESIS_EPOCH` because rewards are for work done in the previous epoch + if get_current_epoch(state) == GENESIS_EPOCH: + return + + flag_deltas = [get_flag_index_deltas(state, flag_index) for flag_index in range(len(PARTICIPATION_FLAG_WEIGHTS))] + deltas = flag_deltas + [get_inactivity_penalty_deltas(state)] + for (rewards, penalties) in deltas: + for index in range(len(state.validators)): + increase_balance(state, ValidatorIndex(index), rewards[index]) + decrease_balance(state, ValidatorIndex(index), penalties[index]) + + +def process_registry_updates(state: BeaconState) -> None: + # Process activation eligibility and ejections + for index, validator in enumerate(state.validators): + if is_eligible_for_activation_queue(validator): + validator.activation_eligibility_epoch = get_current_epoch(state) + 1 + + if ( + is_active_validator(validator, get_current_epoch(state)) + and validator.effective_balance <= config.EJECTION_BALANCE + ): + initiate_validator_exit(state, ValidatorIndex(index)) + + # Queue validators eligible for activation and not yet dequeued for activation + activation_queue = sorted([ + index for index, validator in enumerate(state.validators) + if is_eligible_for_activation(state, validator) + # Order by the sequence of activation_eligibility_epoch setting and then index + ], key=lambda index: (state.validators[index].activation_eligibility_epoch, index)) + # Dequeued validators for activation up to activation churn limit + # [Modified in Deneb:EIP7514] + for index in activation_queue[:get_validator_activation_churn_limit(state)]: + validator = state.validators[index] + validator.activation_epoch = compute_activation_exit_epoch(get_current_epoch(state)) + + +def process_slashings(state: BeaconState) -> None: + epoch = get_current_epoch(state) + total_balance = get_total_active_balance(state) + adjusted_total_slashing_balance = min( + sum(state.slashings) * PROPORTIONAL_SLASHING_MULTIPLIER_BELLATRIX, # [Modified in Bellatrix] + total_balance + ) + for index, validator in enumerate(state.validators): + if validator.slashed and epoch + EPOCHS_PER_SLASHINGS_VECTOR // 2 == validator.withdrawable_epoch: + increment = EFFECTIVE_BALANCE_INCREMENT # Factored out from penalty numerator to avoid uint64 overflow + penalty_numerator = validator.effective_balance // increment * adjusted_total_slashing_balance + penalty = penalty_numerator // total_balance * increment + decrease_balance(state, ValidatorIndex(index), penalty) + + +def process_eth1_data_reset(state: BeaconState) -> None: + next_epoch = Epoch(get_current_epoch(state) + 1) + # Reset eth1 data votes + if next_epoch % EPOCHS_PER_ETH1_VOTING_PERIOD == 0: + state.eth1_data_votes = [] + + +def process_effective_balance_updates(state: BeaconState) -> None: + # Update effective balances with hysteresis + for index, validator in enumerate(state.validators): + balance = state.balances[index] + HYSTERESIS_INCREMENT = uint64(EFFECTIVE_BALANCE_INCREMENT // HYSTERESIS_QUOTIENT) + DOWNWARD_THRESHOLD = HYSTERESIS_INCREMENT * HYSTERESIS_DOWNWARD_MULTIPLIER + UPWARD_THRESHOLD = HYSTERESIS_INCREMENT * HYSTERESIS_UPWARD_MULTIPLIER + if ( + balance + DOWNWARD_THRESHOLD < validator.effective_balance + or validator.effective_balance + UPWARD_THRESHOLD < balance + ): + validator.effective_balance = min(balance - balance % EFFECTIVE_BALANCE_INCREMENT, MAX_EFFECTIVE_BALANCE) + + +def process_slashings_reset(state: BeaconState) -> None: + next_epoch = Epoch(get_current_epoch(state) + 1) + # Reset slashings + state.slashings[next_epoch % EPOCHS_PER_SLASHINGS_VECTOR] = Gwei(0) + + +def process_randao_mixes_reset(state: BeaconState) -> None: + current_epoch = get_current_epoch(state) + next_epoch = Epoch(current_epoch + 1) + # Set randao mix + state.randao_mixes[next_epoch % EPOCHS_PER_HISTORICAL_VECTOR] = get_randao_mix(state, current_epoch) + + +def process_historical_roots_update(state: BeaconState) -> None: + # Set historical root accumulator + next_epoch = Epoch(get_current_epoch(state) + 1) + if next_epoch % (SLOTS_PER_HISTORICAL_ROOT // SLOTS_PER_EPOCH) == 0: + historical_batch = HistoricalBatch(block_roots=state.block_roots, state_roots=state.state_roots) + state.historical_roots.append(hash_tree_root(historical_batch)) + + +def process_participation_record_updates(state: BeaconState) -> None: + # Rotate current/previous epoch attestations + state.previous_epoch_attestations = state.current_epoch_attestations + state.current_epoch_attestations = [] + + +def process_block(state: BeaconState, block: BeaconBlock) -> None: + process_block_header(state, block) + # [Modified in Capella] Removed `is_execution_enabled` check in Capella + process_withdrawals(state, block.body.execution_payload) # [New in Capella] + process_execution_payload(state, block.body, EXECUTION_ENGINE) # [Modified in Capella] + process_randao(state, block.body) + process_eth1_data(state, block.body) + process_operations(state, block.body) # [Modified in Capella] + process_sync_aggregate(state, block.body.sync_aggregate) + + +def process_block_header(state: BeaconState, block: BeaconBlock) -> None: + # Verify that the slots match + assert block.slot == state.slot + # Verify that the block is newer than latest block header + assert block.slot > state.latest_block_header.slot + # Verify that proposer index is the correct index + assert block.proposer_index == get_beacon_proposer_index(state) + # Verify that the parent matches + assert block.parent_root == hash_tree_root(state.latest_block_header) + # Cache current block as the new latest block + state.latest_block_header = BeaconBlockHeader( + slot=block.slot, + proposer_index=block.proposer_index, + parent_root=block.parent_root, + state_root=Bytes32(), # Overwritten in the next process_slot call + body_root=hash_tree_root(block.body), + ) + + # Verify proposer is not slashed + proposer = state.validators[block.proposer_index] + assert not proposer.slashed + + +def process_randao(state: BeaconState, body: BeaconBlockBody) -> None: + epoch = get_current_epoch(state) + # Verify RANDAO reveal + proposer = state.validators[get_beacon_proposer_index(state)] + signing_root = compute_signing_root(epoch, get_domain(state, DOMAIN_RANDAO)) + assert bls.Verify(proposer.pubkey, signing_root, body.randao_reveal) + # Mix in RANDAO reveal + mix = xor(get_randao_mix(state, epoch), hash(body.randao_reveal)) + state.randao_mixes[epoch % EPOCHS_PER_HISTORICAL_VECTOR] = mix + + +def process_eth1_data(state: BeaconState, body: BeaconBlockBody) -> None: + state.eth1_data_votes.append(body.eth1_data) + if state.eth1_data_votes.count(body.eth1_data) * 2 > EPOCHS_PER_ETH1_VOTING_PERIOD * SLOTS_PER_EPOCH: + state.eth1_data = body.eth1_data + + +def process_operations(state: BeaconState, body: BeaconBlockBody) -> None: + # Verify that outstanding deposits are processed up to the maximum number of deposits + assert len(body.deposits) == min(MAX_DEPOSITS, state.eth1_data.deposit_count - state.eth1_deposit_index) + + def for_ops(operations: Sequence[Any], fn: Callable[[BeaconState, Any], None]) -> None: + for operation in operations: + fn(state, operation) + + for_ops(body.proposer_slashings, process_proposer_slashing) + for_ops(body.attester_slashings, process_attester_slashing) + for_ops(body.attestations, process_attestation) + for_ops(body.deposits, process_deposit) + for_ops(body.voluntary_exits, process_voluntary_exit) + for_ops(body.bls_to_execution_changes, process_bls_to_execution_change) # [New in Capella] + + +def process_proposer_slashing(state: BeaconState, proposer_slashing: ProposerSlashing) -> None: + header_1 = proposer_slashing.signed_header_1.message + header_2 = proposer_slashing.signed_header_2.message + + # Verify header slots match + assert header_1.slot == header_2.slot + # Verify header proposer indices match + assert header_1.proposer_index == header_2.proposer_index + # Verify the headers are different + assert header_1 != header_2 + # Verify the proposer is slashable + proposer = state.validators[header_1.proposer_index] + assert is_slashable_validator(proposer, get_current_epoch(state)) + # Verify signatures + for signed_header in (proposer_slashing.signed_header_1, proposer_slashing.signed_header_2): + domain = get_domain(state, DOMAIN_BEACON_PROPOSER, compute_epoch_at_slot(signed_header.message.slot)) + signing_root = compute_signing_root(signed_header.message, domain) + assert bls.Verify(proposer.pubkey, signing_root, signed_header.signature) + + slash_validator(state, header_1.proposer_index) + + +def process_attester_slashing(state: BeaconState, attester_slashing: AttesterSlashing) -> None: + attestation_1 = attester_slashing.attestation_1 + attestation_2 = attester_slashing.attestation_2 + assert is_slashable_attestation_data(attestation_1.data, attestation_2.data) + assert is_valid_indexed_attestation(state, attestation_1) + assert is_valid_indexed_attestation(state, attestation_2) + + slashed_any = False + indices = set(attestation_1.attesting_indices).intersection(attestation_2.attesting_indices) + for index in sorted(indices): + if is_slashable_validator(state.validators[index], get_current_epoch(state)): + slash_validator(state, index) + slashed_any = True + assert slashed_any + + +def process_attestation(state: BeaconState, attestation: Attestation) -> None: + data = attestation.data + assert data.target.epoch in (get_previous_epoch(state), get_current_epoch(state)) + assert data.target.epoch == compute_epoch_at_slot(data.slot) + assert data.slot + MIN_ATTESTATION_INCLUSION_DELAY <= state.slot + + # [Modified in EIP7549] + assert data.index == 0 + committee_indices = get_committee_indices(attestation.committee_bits) + assert len(committee_indices) == len(attestation.aggregation_bits) + for index in committee_indices: + assert index < get_committee_count_per_slot(state, data.target.epoch) + committee = get_beacon_committee(state, data.slot, index) + assert len(attestation.aggregation_bits[index]) == len(committee) + + # Participation flag indices + participation_flag_indices = get_attestation_participation_flag_indices(state, data, state.slot - data.slot) + + # Verify signature + assert is_valid_indexed_attestation(state, get_indexed_attestation(state, attestation)) + + # Update epoch participation flags + if data.target.epoch == get_current_epoch(state): + epoch_participation = state.current_epoch_participation + else: + epoch_participation = state.previous_epoch_participation + + proposer_reward_numerator = 0 + for index in get_attesting_indices(state, attestation): + for flag_index, weight in enumerate(PARTICIPATION_FLAG_WEIGHTS): + if flag_index in participation_flag_indices and not has_flag(epoch_participation[index], flag_index): + epoch_participation[index] = add_flag(epoch_participation[index], flag_index) + proposer_reward_numerator += get_base_reward(state, index) * weight + + # Reward proposer + proposer_reward_denominator = (WEIGHT_DENOMINATOR - PROPOSER_WEIGHT) * WEIGHT_DENOMINATOR // PROPOSER_WEIGHT + proposer_reward = Gwei(proposer_reward_numerator // proposer_reward_denominator) + increase_balance(state, get_beacon_proposer_index(state), proposer_reward) + + +def get_validator_from_deposit(pubkey: BLSPubkey, withdrawal_credentials: Bytes32, amount: uint64) -> Validator: + effective_balance = min(amount - amount % EFFECTIVE_BALANCE_INCREMENT, MAX_EFFECTIVE_BALANCE) + + return Validator( + pubkey=pubkey, + withdrawal_credentials=withdrawal_credentials, + activation_eligibility_epoch=FAR_FUTURE_EPOCH, + activation_epoch=FAR_FUTURE_EPOCH, + exit_epoch=FAR_FUTURE_EPOCH, + withdrawable_epoch=FAR_FUTURE_EPOCH, + effective_balance=effective_balance, + ) + + +def add_validator_to_registry(state: BeaconState, + pubkey: BLSPubkey, + withdrawal_credentials: Bytes32, + amount: uint64) -> None: + index = get_index_for_new_validator(state) + validator = get_validator_from_deposit(pubkey, withdrawal_credentials, amount) + set_or_append_list(state.validators, index, validator) + set_or_append_list(state.balances, index, amount) + # [New in Altair] + set_or_append_list(state.previous_epoch_participation, index, ParticipationFlags(0b0000_0000)) + set_or_append_list(state.current_epoch_participation, index, ParticipationFlags(0b0000_0000)) + set_or_append_list(state.inactivity_scores, index, uint64(0)) + + +def apply_deposit(state: BeaconState, + pubkey: BLSPubkey, + withdrawal_credentials: Bytes32, + amount: uint64, + signature: BLSSignature) -> None: + validator_pubkeys = [v.pubkey for v in state.validators] + if pubkey not in validator_pubkeys: + # Verify the deposit signature (proof of possession) which is not checked by the deposit contract + deposit_message = DepositMessage( + pubkey=pubkey, + withdrawal_credentials=withdrawal_credentials, + amount=amount, + ) + domain = compute_domain(DOMAIN_DEPOSIT) # Fork-agnostic domain since deposits are valid across forks + signing_root = compute_signing_root(deposit_message, domain) + if bls.Verify(pubkey, signing_root, signature): + add_validator_to_registry(state, pubkey, withdrawal_credentials, amount) + else: + # Increase balance by deposit amount + index = ValidatorIndex(validator_pubkeys.index(pubkey)) + increase_balance(state, index, amount) + + +def process_deposit(state: BeaconState, deposit: Deposit) -> None: + # Verify the Merkle branch + assert is_valid_merkle_branch( + leaf=hash_tree_root(deposit.data), + branch=deposit.proof, + depth=DEPOSIT_CONTRACT_TREE_DEPTH + 1, # Add 1 for the List length mix-in + index=state.eth1_deposit_index, + root=state.eth1_data.deposit_root, + ) + + # Deposits must be processed in order + state.eth1_deposit_index += 1 + + apply_deposit( + state=state, + pubkey=deposit.data.pubkey, + withdrawal_credentials=deposit.data.withdrawal_credentials, + amount=deposit.data.amount, + signature=deposit.data.signature, + ) + + +def process_voluntary_exit(state: BeaconState, signed_voluntary_exit: SignedVoluntaryExit) -> None: + voluntary_exit = signed_voluntary_exit.message + validator = state.validators[voluntary_exit.validator_index] + # Verify the validator is active + assert is_active_validator(validator, get_current_epoch(state)) + # Verify exit has not been initiated + assert validator.exit_epoch == FAR_FUTURE_EPOCH + # Exits must specify an epoch when they become valid; they are not valid before then + assert get_current_epoch(state) >= voluntary_exit.epoch + # Verify the validator has been active long enough + assert get_current_epoch(state) >= validator.activation_epoch + config.SHARD_COMMITTEE_PERIOD + # Verify signature + # [Modified in Deneb:EIP7044] + domain = compute_domain(DOMAIN_VOLUNTARY_EXIT, config.CAPELLA_FORK_VERSION, state.genesis_validators_root) + signing_root = compute_signing_root(voluntary_exit, domain) + assert bls.Verify(validator.pubkey, signing_root, signed_voluntary_exit.signature) + # Initiate exit + initiate_validator_exit(state, voluntary_exit.validator_index) + + +def is_previous_epoch_justified(store: Store) -> bool: + current_epoch = get_current_store_epoch(store) + return store.justified_checkpoint.epoch + 1 == current_epoch + + +def get_forkchoice_store(anchor_state: BeaconState, anchor_block: BeaconBlock) -> Store: + assert anchor_block.state_root == hash_tree_root(anchor_state) + anchor_root = hash_tree_root(anchor_block) + anchor_epoch = get_current_epoch(anchor_state) + justified_checkpoint = Checkpoint(epoch=anchor_epoch, root=anchor_root) + finalized_checkpoint = Checkpoint(epoch=anchor_epoch, root=anchor_root) + proposer_boost_root = Root() + return Store( + time=uint64(anchor_state.genesis_time + config.SECONDS_PER_SLOT * anchor_state.slot), + genesis_time=anchor_state.genesis_time, + justified_checkpoint=justified_checkpoint, + finalized_checkpoint=finalized_checkpoint, + unrealized_justified_checkpoint=justified_checkpoint, + unrealized_finalized_checkpoint=finalized_checkpoint, + proposer_boost_root=proposer_boost_root, + equivocating_indices=set(), + blocks={anchor_root: copy(anchor_block)}, + block_states={anchor_root: copy(anchor_state)}, + checkpoint_states={justified_checkpoint: copy(anchor_state)}, + unrealized_justifications={anchor_root: justified_checkpoint} + ) + + +def get_slots_since_genesis(store: Store) -> int: + return (store.time - store.genesis_time) // config.SECONDS_PER_SLOT + + +def get_current_slot(store: Store) -> Slot: + return Slot(GENESIS_SLOT + get_slots_since_genesis(store)) + + +def get_current_store_epoch(store: Store) -> Epoch: + return compute_epoch_at_slot(get_current_slot(store)) + + +def compute_slots_since_epoch_start(slot: Slot) -> int: + return slot - compute_start_slot_at_epoch(compute_epoch_at_slot(slot)) + + +def get_ancestor(store: Store, root: Root, slot: Slot) -> Root: + block = store.blocks[root] + if block.slot > slot: + return get_ancestor(store, block.parent_root, slot) + return root + + +def calculate_committee_fraction(state: BeaconState, committee_percent: uint64) -> Gwei: + committee_weight = get_total_active_balance(state) // SLOTS_PER_EPOCH + return Gwei((committee_weight * committee_percent) // 100) + + +def get_checkpoint_block(store: Store, root: Root, epoch: Epoch) -> Root: + """ + Compute the checkpoint block for epoch ``epoch`` in the chain of block ``root`` + """ + epoch_first_slot = compute_start_slot_at_epoch(epoch) + return get_ancestor(store, root, epoch_first_slot) + + +def get_proposer_score(store: Store) -> Gwei: + justified_checkpoint_state = store.checkpoint_states[store.justified_checkpoint] + committee_weight = get_total_active_balance(justified_checkpoint_state) // SLOTS_PER_EPOCH + return (committee_weight * config.PROPOSER_SCORE_BOOST) // 100 + + +def get_weight(store: Store, root: Root) -> Gwei: + state = store.checkpoint_states[store.justified_checkpoint] + unslashed_and_active_indices = [ + i for i in get_active_validator_indices(state, get_current_epoch(state)) + if not state.validators[i].slashed + ] + attestation_score = Gwei(sum( + state.validators[i].effective_balance for i in unslashed_and_active_indices + if (i in store.latest_messages + and i not in store.equivocating_indices + and get_ancestor(store, store.latest_messages[i].root, store.blocks[root].slot) == root) + )) + if store.proposer_boost_root == Root(): + # Return only attestation score if ``proposer_boost_root`` is not set + return attestation_score + + # Calculate proposer score if ``proposer_boost_root`` is set + proposer_score = Gwei(0) + # Boost is applied if ``root`` is an ancestor of ``proposer_boost_root`` + if get_ancestor(store, store.proposer_boost_root, store.blocks[root].slot) == root: + proposer_score = get_proposer_score(store) + return attestation_score + proposer_score + + +def get_voting_source(store: Store, block_root: Root) -> Checkpoint: + """ + Compute the voting source checkpoint in event that block with root ``block_root`` is the head block + """ + block = store.blocks[block_root] + current_epoch = get_current_store_epoch(store) + block_epoch = compute_epoch_at_slot(block.slot) + if current_epoch > block_epoch: + # The block is from a prior epoch, the voting source will be pulled-up + return store.unrealized_justifications[block_root] + else: + # The block is not from a prior epoch, therefore the voting source is not pulled up + head_state = store.block_states[block_root] + return head_state.current_justified_checkpoint + + +def filter_block_tree(store: Store, block_root: Root, blocks: Dict[Root, BeaconBlock]) -> bool: + block = store.blocks[block_root] + children = [ + root for root in store.blocks.keys() + if store.blocks[root].parent_root == block_root + ] + + # If any children branches contain expected finalized/justified checkpoints, + # add to filtered block-tree and signal viability to parent. + if any(children): + filter_block_tree_result = [filter_block_tree(store, child, blocks) for child in children] + if any(filter_block_tree_result): + blocks[block_root] = block + return True + return False + + current_epoch = get_current_store_epoch(store) + voting_source = get_voting_source(store, block_root) + + # The voting source should be either at the same height as the store's justified checkpoint or + # not more than two epochs ago + correct_justified = ( + store.justified_checkpoint.epoch == GENESIS_EPOCH + or voting_source.epoch == store.justified_checkpoint.epoch + or voting_source.epoch + 2 >= current_epoch + ) + + finalized_checkpoint_block = get_checkpoint_block( + store, + block_root, + store.finalized_checkpoint.epoch, + ) + + correct_finalized = ( + store.finalized_checkpoint.epoch == GENESIS_EPOCH + or store.finalized_checkpoint.root == finalized_checkpoint_block + ) + + # If expected finalized/justified, add to viable block-tree and signal viability to parent. + if correct_justified and correct_finalized: + blocks[block_root] = block + return True + + # Otherwise, branch not viable + return False + + +def get_filtered_block_tree(store: Store) -> Dict[Root, BeaconBlock]: + """ + Retrieve a filtered block tree from ``store``, only returning branches + whose leaf state's justified/finalized info agrees with that in ``store``. + """ + base = store.justified_checkpoint.root + blocks: Dict[Root, BeaconBlock] = {} + filter_block_tree(store, base, blocks) + return blocks + + +def get_head(store: Store) -> Root: + # Get filtered block tree that only includes viable branches + blocks = get_filtered_block_tree(store) + # Execute the LMD-GHOST fork choice + head = store.justified_checkpoint.root + while True: + children = [ + root for root in blocks.keys() + if blocks[root].parent_root == head + ] + if len(children) == 0: + return head + # Sort by latest attesting balance with ties broken lexicographically + # Ties broken by favoring block with lexicographically higher root + head = max(children, key=lambda root: (get_weight(store, root), root)) + + +def update_checkpoints(store: Store, justified_checkpoint: Checkpoint, finalized_checkpoint: Checkpoint) -> None: + """ + Update checkpoints in store if necessary + """ + # Update justified checkpoint + if justified_checkpoint.epoch > store.justified_checkpoint.epoch: + store.justified_checkpoint = justified_checkpoint + + # Update finalized checkpoint + if finalized_checkpoint.epoch > store.finalized_checkpoint.epoch: + store.finalized_checkpoint = finalized_checkpoint + + +def update_unrealized_checkpoints(store: Store, unrealized_justified_checkpoint: Checkpoint, + unrealized_finalized_checkpoint: Checkpoint) -> None: + """ + Update unrealized checkpoints in store if necessary + """ + # Update unrealized justified checkpoint + if unrealized_justified_checkpoint.epoch > store.unrealized_justified_checkpoint.epoch: + store.unrealized_justified_checkpoint = unrealized_justified_checkpoint + + # Update unrealized finalized checkpoint + if unrealized_finalized_checkpoint.epoch > store.unrealized_finalized_checkpoint.epoch: + store.unrealized_finalized_checkpoint = unrealized_finalized_checkpoint + + +def is_head_late(store: Store, head_root: Root) -> bool: + return not store.block_timeliness[head_root] + + +def is_shuffling_stable(slot: Slot) -> bool: + return slot % SLOTS_PER_EPOCH != 0 + + +def is_ffg_competitive(store: Store, head_root: Root, parent_root: Root) -> bool: + return (store.unrealized_justifications[head_root] == store.unrealized_justifications[parent_root]) + + +def is_finalization_ok(store: Store, slot: Slot) -> bool: + epochs_since_finalization = compute_epoch_at_slot(slot) - store.finalized_checkpoint.epoch + return epochs_since_finalization <= config.REORG_MAX_EPOCHS_SINCE_FINALIZATION + + +def is_proposing_on_time(store: Store) -> bool: + # Use half `config.SECONDS_PER_SLOT // INTERVALS_PER_SLOT` as the proposer reorg deadline + time_into_slot = (store.time - store.genesis_time) % config.SECONDS_PER_SLOT + proposer_reorg_cutoff = config.SECONDS_PER_SLOT // INTERVALS_PER_SLOT // 2 + return time_into_slot <= proposer_reorg_cutoff + + +def is_head_weak(store: Store, head_root: Root) -> bool: + justified_state = store.checkpoint_states[store.justified_checkpoint] + reorg_threshold = calculate_committee_fraction(justified_state, config.REORG_HEAD_WEIGHT_THRESHOLD) + head_weight = get_weight(store, head_root) + return head_weight < reorg_threshold + + +def is_parent_strong(store: Store, parent_root: Root) -> bool: + justified_state = store.checkpoint_states[store.justified_checkpoint] + parent_threshold = calculate_committee_fraction(justified_state, config.REORG_PARENT_WEIGHT_THRESHOLD) + parent_weight = get_weight(store, parent_root) + return parent_weight > parent_threshold + + +def get_proposer_head(store: Store, head_root: Root, slot: Slot) -> Root: + head_block = store.blocks[head_root] + parent_root = head_block.parent_root + parent_block = store.blocks[parent_root] + + # Only re-org the head block if it arrived later than the attestation deadline. + head_late = is_head_late(store, head_root) + + # Do not re-org on an epoch boundary where the proposer shuffling could change. + shuffling_stable = is_shuffling_stable(slot) + + # Ensure that the FFG information of the new head will be competitive with the current head. + ffg_competitive = is_ffg_competitive(store, head_root, parent_root) + + # Do not re-org if the chain is not finalizing with acceptable frequency. + finalization_ok = is_finalization_ok(store, slot) + + # Only re-org if we are proposing on-time. + proposing_on_time = is_proposing_on_time(store) + + # Only re-org a single slot at most. + parent_slot_ok = parent_block.slot + 1 == head_block.slot + current_time_ok = head_block.slot + 1 == slot + single_slot_reorg = parent_slot_ok and current_time_ok + + # Check that the head has few enough votes to be overpowered by our proposer boost. + assert store.proposer_boost_root != head_root # ensure boost has worn off + head_weak = is_head_weak(store, head_root) + + # Check that the missing votes are assigned to the parent and not being hoarded. + parent_strong = is_parent_strong(store, parent_root) + + if all([head_late, shuffling_stable, ffg_competitive, finalization_ok, + proposing_on_time, single_slot_reorg, head_weak, parent_strong]): + # We can re-org the current head by building upon its parent block. + return parent_root + else: + return head_root + + +def compute_pulled_up_tip(store: Store, block_root: Root) -> None: + state = store.block_states[block_root].copy() + # Pull up the post-state of the block to the next epoch boundary + process_justification_and_finalization(state) + + store.unrealized_justifications[block_root] = state.current_justified_checkpoint + update_unrealized_checkpoints(store, state.current_justified_checkpoint, state.finalized_checkpoint) + + # If the block is from a prior epoch, apply the realized values + block_epoch = compute_epoch_at_slot(store.blocks[block_root].slot) + current_epoch = get_current_store_epoch(store) + if block_epoch < current_epoch: + update_checkpoints(store, state.current_justified_checkpoint, state.finalized_checkpoint) + + +def on_tick_per_slot(store: Store, time: uint64) -> None: + previous_slot = get_current_slot(store) + + # Update store time + store.time = time + + current_slot = get_current_slot(store) + + # If this is a new slot, reset store.proposer_boost_root + if current_slot > previous_slot: + store.proposer_boost_root = Root() + + # If a new epoch, pull-up justification and finalization from previous epoch + if current_slot > previous_slot and compute_slots_since_epoch_start(current_slot) == 0: + update_checkpoints(store, store.unrealized_justified_checkpoint, store.unrealized_finalized_checkpoint) + + +def validate_target_epoch_against_current_time(store: Store, attestation: Attestation) -> None: + target = attestation.data.target + + # Attestations must be from the current or previous epoch + current_epoch = get_current_store_epoch(store) + # Use GENESIS_EPOCH for previous when genesis to avoid underflow + previous_epoch = current_epoch - 1 if current_epoch > GENESIS_EPOCH else GENESIS_EPOCH + # If attestation target is from a future epoch, delay consideration until the epoch arrives + assert target.epoch in [current_epoch, previous_epoch] + + +def validate_on_attestation(store: Store, attestation: Attestation, is_from_block: bool) -> None: + target = attestation.data.target + + # If the given attestation is not from a beacon block message, we have to check the target epoch scope. + if not is_from_block: + validate_target_epoch_against_current_time(store, attestation) + + # Check that the epoch number and slot number are matching + assert target.epoch == compute_epoch_at_slot(attestation.data.slot) + + # Attestation target must be for a known block. If target block is unknown, delay consideration until block is found + assert target.root in store.blocks + + # Attestations must be for a known block. If block is unknown, delay consideration until the block is found + assert attestation.data.beacon_block_root in store.blocks + # Attestations must not be for blocks in the future. If not, the attestation should not be considered + assert store.blocks[attestation.data.beacon_block_root].slot <= attestation.data.slot + + # LMD vote must be consistent with FFG vote target + assert target.root == get_checkpoint_block(store, attestation.data.beacon_block_root, target.epoch) + + # Attestations can only affect the fork choice of subsequent slots. + # Delay consideration in the fork choice until their slot is in the past. + assert get_current_slot(store) >= attestation.data.slot + 1 + + +def store_target_checkpoint_state(store: Store, target: Checkpoint) -> None: + # Store target checkpoint state if not yet seen + if target not in store.checkpoint_states: + base_state = copy(store.block_states[target.root]) + if base_state.slot < compute_start_slot_at_epoch(target.epoch): + process_slots(base_state, compute_start_slot_at_epoch(target.epoch)) + store.checkpoint_states[target] = base_state + + +def update_latest_messages(store: Store, attesting_indices: Sequence[ValidatorIndex], attestation: Attestation) -> None: + target = attestation.data.target + beacon_block_root = attestation.data.beacon_block_root + non_equivocating_attesting_indices = [i for i in attesting_indices if i not in store.equivocating_indices] + for i in non_equivocating_attesting_indices: + if i not in store.latest_messages or target.epoch > store.latest_messages[i].epoch: + store.latest_messages[i] = LatestMessage(epoch=target.epoch, root=beacon_block_root) + + +def on_tick(store: Store, time: uint64) -> None: + # If the ``store.time`` falls behind, while loop catches up slot by slot + # to ensure that every previous slot is processed with ``on_tick_per_slot`` + tick_slot = (time - store.genesis_time) // config.SECONDS_PER_SLOT + while get_current_slot(store) < tick_slot: + previous_time = store.genesis_time + (get_current_slot(store) + 1) * config.SECONDS_PER_SLOT + on_tick_per_slot(store, previous_time) + on_tick_per_slot(store, time) + + +def on_block(store: Store, signed_block: SignedBeaconBlock) -> None: + """ + Run ``on_block`` upon receiving a new block. + """ + block = signed_block.message + # Parent block must be known + assert block.parent_root in store.block_states + # Make a copy of the state to avoid mutability issues + pre_state = copy(store.block_states[block.parent_root]) + # Blocks cannot be in the future. If they are, their consideration must be delayed until they are in the past. + assert get_current_slot(store) >= block.slot + + # Check that block is later than the finalized epoch slot (optimization to reduce calls to get_ancestor) + finalized_slot = compute_start_slot_at_epoch(store.finalized_checkpoint.epoch) + assert block.slot > finalized_slot + # Check block is a descendant of the finalized block at the checkpoint finalized slot + finalized_checkpoint_block = get_checkpoint_block( + store, + block.parent_root, + store.finalized_checkpoint.epoch, + ) + assert store.finalized_checkpoint.root == finalized_checkpoint_block + + # [New in Deneb:EIP4844] + # Check if blob data is available + # If not, this block MAY be queued and subsequently considered when blob data becomes available + # *Note*: Extraneous or invalid Blobs (in addition to the expected/referenced valid blobs) + # received on the p2p network MUST NOT invalidate a block that is otherwise valid and available + assert is_data_available(hash_tree_root(block), block.body.blob_kzg_commitments) + + # Check the block is valid and compute the post-state + state = pre_state.copy() + block_root = hash_tree_root(block) + state_transition(state, signed_block, True) + + # Add new block to the store + store.blocks[block_root] = block + # Add new state for this block to the store + store.block_states[block_root] = state + + # Add block timeliness to the store + time_into_slot = (store.time - store.genesis_time) % config.SECONDS_PER_SLOT + is_before_attesting_interval = time_into_slot < config.SECONDS_PER_SLOT // INTERVALS_PER_SLOT + is_timely = get_current_slot(store) == block.slot and is_before_attesting_interval + store.block_timeliness[hash_tree_root(block)] = is_timely + + # Add proposer score boost if the block is timely and not conflicting with an existing block + is_first_block = store.proposer_boost_root == Root() + if is_timely and is_first_block: + store.proposer_boost_root = hash_tree_root(block) + + # Update checkpoints in store if necessary + update_checkpoints(store, state.current_justified_checkpoint, state.finalized_checkpoint) + + # Eagerly compute unrealized justification and finality. + compute_pulled_up_tip(store, block_root) + + +def on_attestation(store: Store, attestation: Attestation, is_from_block: bool=False) -> None: + """ + Run ``on_attestation`` upon receiving a new ``attestation`` from either within a block or directly on the wire. + + An ``attestation`` that is asserted as invalid may be valid at a later time, + consider scheduling it for later processing in such case. + """ + validate_on_attestation(store, attestation, is_from_block) + + store_target_checkpoint_state(store, attestation.data.target) + + # Get state at the `target` to fully validate attestation + target_state = store.checkpoint_states[attestation.data.target] + indexed_attestation = get_indexed_attestation(target_state, attestation) + assert is_valid_indexed_attestation(target_state, indexed_attestation) + + # Update latest messages for attesting indices + update_latest_messages(store, indexed_attestation.attesting_indices, attestation) + + +def on_attester_slashing(store: Store, attester_slashing: AttesterSlashing) -> None: + """ + Run ``on_attester_slashing`` immediately upon receiving a new ``AttesterSlashing`` + from either within a block or directly on the wire. + """ + attestation_1 = attester_slashing.attestation_1 + attestation_2 = attester_slashing.attestation_2 + assert is_slashable_attestation_data(attestation_1.data, attestation_2.data) + state = store.block_states[store.justified_checkpoint.root] + assert is_valid_indexed_attestation(state, attestation_1) + assert is_valid_indexed_attestation(state, attestation_2) + + indices = set(attestation_1.attesting_indices).intersection(attestation_2.attesting_indices) + for index in indices: + store.equivocating_indices.add(index) + + +def check_if_validator_active(state: BeaconState, validator_index: ValidatorIndex) -> bool: + validator = state.validators[validator_index] + return is_active_validator(validator, get_current_epoch(state)) + + +def get_committee_assignment(state: BeaconState, + epoch: Epoch, + validator_index: ValidatorIndex + ) -> Optional[Tuple[Sequence[ValidatorIndex], CommitteeIndex, Slot]]: + """ + Return the committee assignment in the ``epoch`` for ``validator_index``. + ``assignment`` returned is a tuple of the following form: + * ``assignment[0]`` is the list of validators in the committee + * ``assignment[1]`` is the index to which the committee is assigned + * ``assignment[2]`` is the slot at which the committee is assigned + Return None if no assignment. + """ + next_epoch = Epoch(get_current_epoch(state) + 1) + assert epoch <= next_epoch + + start_slot = compute_start_slot_at_epoch(epoch) + committee_count_per_slot = get_committee_count_per_slot(state, epoch) + for slot in range(start_slot, start_slot + SLOTS_PER_EPOCH): + for index in range(committee_count_per_slot): + committee = get_beacon_committee(state, Slot(slot), CommitteeIndex(index)) + if validator_index in committee: + return committee, CommitteeIndex(index), Slot(slot) + return None + + +def is_proposer(state: BeaconState, validator_index: ValidatorIndex) -> bool: + return get_beacon_proposer_index(state) == validator_index + + +def get_epoch_signature(state: BeaconState, block: BeaconBlock, privkey: int) -> BLSSignature: + domain = get_domain(state, DOMAIN_RANDAO, compute_epoch_at_slot(block.slot)) + signing_root = compute_signing_root(compute_epoch_at_slot(block.slot), domain) + return bls.Sign(privkey, signing_root) + + +def compute_time_at_slot(state: BeaconState, slot: Slot) -> uint64: + return uint64(state.genesis_time + slot * config.SECONDS_PER_SLOT) + + +def voting_period_start_time(state: BeaconState) -> uint64: + eth1_voting_period_start_slot = Slot(state.slot - state.slot % (EPOCHS_PER_ETH1_VOTING_PERIOD * SLOTS_PER_EPOCH)) + return compute_time_at_slot(state, eth1_voting_period_start_slot) + + +def is_candidate_block(block: Eth1Block, period_start: uint64) -> bool: + return ( + block.timestamp + config.SECONDS_PER_ETH1_BLOCK * config.ETH1_FOLLOW_DISTANCE <= period_start + and block.timestamp + config.SECONDS_PER_ETH1_BLOCK * config.ETH1_FOLLOW_DISTANCE * 2 >= period_start + ) + + +def get_eth1_vote(state: BeaconState, eth1_chain: Sequence[Eth1Block]) -> Eth1Data: + period_start = voting_period_start_time(state) + # `eth1_chain` abstractly represents all blocks in the eth1 chain sorted by ascending block height + votes_to_consider = [ + get_eth1_data(block) for block in eth1_chain + if ( + is_candidate_block(block, period_start) + # Ensure cannot move back to earlier deposit contract states + and get_eth1_data(block).deposit_count >= state.eth1_data.deposit_count + ) + ] + + # Valid votes already cast during this period + valid_votes = [vote for vote in state.eth1_data_votes if vote in votes_to_consider] + + # Default vote on latest eth1 block data in the period range unless eth1 chain is not live + # Non-substantive casting for linter + state_eth1_data: Eth1Data = state.eth1_data + default_vote = votes_to_consider[len(votes_to_consider) - 1] if any(votes_to_consider) else state_eth1_data + + return max( + valid_votes, + key=lambda v: (valid_votes.count(v), -valid_votes.index(v)), # Tiebreak by smallest distance + default=default_vote + ) + + +def compute_new_state_root(state: BeaconState, block: BeaconBlock) -> Root: + temp_state: BeaconState = state.copy() + signed_block = SignedBeaconBlock(message=block) + state_transition(temp_state, signed_block, validate_result=False) + return hash_tree_root(temp_state) + + +def get_block_signature(state: BeaconState, block: BeaconBlock, privkey: int) -> BLSSignature: + domain = get_domain(state, DOMAIN_BEACON_PROPOSER, compute_epoch_at_slot(block.slot)) + signing_root = compute_signing_root(block, domain) + return bls.Sign(privkey, signing_root) + + +def get_attestation_signature(state: BeaconState, attestation_data: AttestationData, privkey: int) -> BLSSignature: + domain = get_domain(state, DOMAIN_BEACON_ATTESTER, attestation_data.target.epoch) + signing_root = compute_signing_root(attestation_data, domain) + return bls.Sign(privkey, signing_root) + + +def compute_subnet_for_attestation(committees_per_slot: uint64, + slot: Slot, + committee_index: CommitteeIndex) -> SubnetID: + """ + Compute the correct subnet for an attestation for Phase 0. + Note, this mimics expected future behavior where attestations will be mapped to their shard subnet. + """ + slots_since_epoch_start = uint64(slot % SLOTS_PER_EPOCH) + committees_since_epoch_start = committees_per_slot * slots_since_epoch_start + + return SubnetID((committees_since_epoch_start + committee_index) % config.ATTESTATION_SUBNET_COUNT) + + +def get_slot_signature(state: BeaconState, slot: Slot, privkey: int) -> BLSSignature: + domain = get_domain(state, DOMAIN_SELECTION_PROOF, compute_epoch_at_slot(slot)) + signing_root = compute_signing_root(slot, domain) + return bls.Sign(privkey, signing_root) + + +def is_aggregator(state: BeaconState, slot: Slot, index: CommitteeIndex, slot_signature: BLSSignature) -> bool: + committee = get_beacon_committee(state, slot, index) + modulo = max(1, len(committee) // TARGET_AGGREGATORS_PER_COMMITTEE) + return bytes_to_uint64(hash(slot_signature)[0:8]) % modulo == 0 + + +def get_aggregate_signature(attestations: Sequence[Attestation]) -> BLSSignature: + signatures = [attestation.signature for attestation in attestations] + return bls.Aggregate(signatures) + + +def get_aggregate_and_proof(state: BeaconState, + aggregator_index: ValidatorIndex, + aggregate: Attestation, + privkey: int) -> AggregateAndProof: + return AggregateAndProof( + aggregator_index=aggregator_index, + aggregate=aggregate, + selection_proof=get_slot_signature(state, aggregate.data.slot, privkey), + ) + + +def get_aggregate_and_proof_signature(state: BeaconState, + aggregate_and_proof: AggregateAndProof, + privkey: int) -> BLSSignature: + aggregate = aggregate_and_proof.aggregate + domain = get_domain(state, DOMAIN_AGGREGATE_AND_PROOF, compute_epoch_at_slot(aggregate.data.slot)) + signing_root = compute_signing_root(aggregate_and_proof, domain) + return bls.Sign(privkey, signing_root) + + +def get_sync_subcommittee_pubkeys(state: BeaconState, subcommittee_index: uint64) -> Sequence[BLSPubkey]: + # Committees assigned to `slot` sign for `slot - 1` + # This creates the exceptional logic below when transitioning between sync committee periods + next_slot_epoch = compute_epoch_at_slot(Slot(state.slot + 1)) + if compute_sync_committee_period(get_current_epoch(state)) == compute_sync_committee_period(next_slot_epoch): + sync_committee = state.current_sync_committee + else: + sync_committee = state.next_sync_committee + + # Return pubkeys for the subcommittee index + sync_subcommittee_size = SYNC_COMMITTEE_SIZE // SYNC_COMMITTEE_SUBNET_COUNT + i = subcommittee_index * sync_subcommittee_size + return sync_committee.pubkeys[i:i + sync_subcommittee_size] + + +def add_flag(flags: ParticipationFlags, flag_index: int) -> ParticipationFlags: + """ + Return a new ``ParticipationFlags`` adding ``flag_index`` to ``flags``. + """ + flag = ParticipationFlags(2**flag_index) + return flags | flag + + +def has_flag(flags: ParticipationFlags, flag_index: int) -> bool: + """ + Return whether ``flags`` has ``flag_index`` set. + """ + flag = ParticipationFlags(2**flag_index) + return flags & flag == flag + + +def get_index_for_new_validator(state: BeaconState) -> ValidatorIndex: + return ValidatorIndex(len(state.validators)) + + +def set_or_append_list(list: List, index: ValidatorIndex, value: Any) -> None: + if index == len(list): + list.append(value) + else: + list[index] = value + + +def get_next_sync_committee_indices(state: BeaconState) -> Sequence[ValidatorIndex]: + """ + Return the sync committee indices, with possible duplicates, for the next sync committee. + """ + epoch = Epoch(get_current_epoch(state) + 1) + + MAX_RANDOM_BYTE = 2**8 - 1 + active_validator_indices = get_active_validator_indices(state, epoch) + active_validator_count = uint64(len(active_validator_indices)) + seed = get_seed(state, epoch, DOMAIN_SYNC_COMMITTEE) + i = 0 + sync_committee_indices: List[ValidatorIndex] = [] + while len(sync_committee_indices) < SYNC_COMMITTEE_SIZE: + shuffled_index = compute_shuffled_index(uint64(i % active_validator_count), active_validator_count, seed) + candidate_index = active_validator_indices[shuffled_index] + random_byte = hash(seed + uint_to_bytes(uint64(i // 32)))[i % 32] + effective_balance = state.validators[candidate_index].effective_balance + if effective_balance * MAX_RANDOM_BYTE >= MAX_EFFECTIVE_BALANCE * random_byte: + sync_committee_indices.append(candidate_index) + i += 1 + return sync_committee_indices + + +def get_next_sync_committee(state: BeaconState) -> SyncCommittee: + """ + Return the next sync committee, with possible pubkey duplicates. + """ + indices = get_next_sync_committee_indices(state) + pubkeys = [state.validators[index].pubkey for index in indices] + aggregate_pubkey = eth_aggregate_pubkeys(pubkeys) + return SyncCommittee(pubkeys=pubkeys, aggregate_pubkey=aggregate_pubkey) + + +def get_base_reward_per_increment(state: BeaconState) -> Gwei: + return Gwei(EFFECTIVE_BALANCE_INCREMENT * BASE_REWARD_FACTOR // integer_squareroot(get_total_active_balance(state))) + + +def get_unslashed_participating_indices(state: BeaconState, flag_index: int, epoch: Epoch) -> Set[ValidatorIndex]: + """ + Return the set of validator indices that are both active and unslashed for the given ``flag_index`` and ``epoch``. + """ + assert epoch in (get_previous_epoch(state), get_current_epoch(state)) + if epoch == get_current_epoch(state): + epoch_participation = state.current_epoch_participation + else: + epoch_participation = state.previous_epoch_participation + active_validator_indices = get_active_validator_indices(state, epoch) + participating_indices = [i for i in active_validator_indices if has_flag(epoch_participation[i], flag_index)] + return set(filter(lambda index: not state.validators[index].slashed, participating_indices)) + + +def get_attestation_participation_flag_indices(state: BeaconState, + data: AttestationData, + inclusion_delay: uint64) -> Sequence[int]: + """ + Return the flag indices that are satisfied by an attestation. + """ + if data.target.epoch == get_current_epoch(state): + justified_checkpoint = state.current_justified_checkpoint + else: + justified_checkpoint = state.previous_justified_checkpoint + + # Matching roots + is_matching_source = data.source == justified_checkpoint + is_matching_target = is_matching_source and data.target.root == get_block_root(state, data.target.epoch) + is_matching_head = is_matching_target and data.beacon_block_root == get_block_root_at_slot(state, data.slot) + assert is_matching_source + + participation_flag_indices = [] + if is_matching_source and inclusion_delay <= integer_squareroot(SLOTS_PER_EPOCH): + participation_flag_indices.append(TIMELY_SOURCE_FLAG_INDEX) + if is_matching_target: # [Modified in Deneb:EIP7045] + participation_flag_indices.append(TIMELY_TARGET_FLAG_INDEX) + if is_matching_head and inclusion_delay == MIN_ATTESTATION_INCLUSION_DELAY: + participation_flag_indices.append(TIMELY_HEAD_FLAG_INDEX) + + return participation_flag_indices + + +def get_flag_index_deltas(state: BeaconState, flag_index: int) -> Tuple[Sequence[Gwei], Sequence[Gwei]]: + """ + Return the deltas for a given ``flag_index`` by scanning through the participation flags. + """ + rewards = [Gwei(0)] * len(state.validators) + penalties = [Gwei(0)] * len(state.validators) + previous_epoch = get_previous_epoch(state) + unslashed_participating_indices = get_unslashed_participating_indices(state, flag_index, previous_epoch) + weight = PARTICIPATION_FLAG_WEIGHTS[flag_index] + unslashed_participating_balance = get_total_balance(state, unslashed_participating_indices) + unslashed_participating_increments = unslashed_participating_balance // EFFECTIVE_BALANCE_INCREMENT + active_increments = get_total_active_balance(state) // EFFECTIVE_BALANCE_INCREMENT + for index in get_eligible_validator_indices(state): + base_reward = get_base_reward(state, index) + if index in unslashed_participating_indices: + if not is_in_inactivity_leak(state): + reward_numerator = base_reward * weight * unslashed_participating_increments + rewards[index] += Gwei(reward_numerator // (active_increments * WEIGHT_DENOMINATOR)) + elif flag_index != TIMELY_HEAD_FLAG_INDEX: + penalties[index] += Gwei(base_reward * weight // WEIGHT_DENOMINATOR) + return rewards, penalties + + +def process_sync_aggregate(state: BeaconState, sync_aggregate: SyncAggregate) -> None: + # Verify sync committee aggregate signature signing over the previous slot block root + committee_pubkeys = state.current_sync_committee.pubkeys + participant_pubkeys = [pubkey for pubkey, bit in zip(committee_pubkeys, sync_aggregate.sync_committee_bits) if bit] + previous_slot = max(state.slot, Slot(1)) - Slot(1) + domain = get_domain(state, DOMAIN_SYNC_COMMITTEE, compute_epoch_at_slot(previous_slot)) + signing_root = compute_signing_root(get_block_root_at_slot(state, previous_slot), domain) + assert eth_fast_aggregate_verify(participant_pubkeys, signing_root, sync_aggregate.sync_committee_signature) + + # Compute participant and proposer rewards + total_active_increments = get_total_active_balance(state) // EFFECTIVE_BALANCE_INCREMENT + total_base_rewards = Gwei(get_base_reward_per_increment(state) * total_active_increments) + max_participant_rewards = Gwei(total_base_rewards * SYNC_REWARD_WEIGHT // WEIGHT_DENOMINATOR // SLOTS_PER_EPOCH) + participant_reward = Gwei(max_participant_rewards // SYNC_COMMITTEE_SIZE) + proposer_reward = Gwei(participant_reward * PROPOSER_WEIGHT // (WEIGHT_DENOMINATOR - PROPOSER_WEIGHT)) + + # Apply participant and proposer rewards + all_pubkeys = [v.pubkey for v in state.validators] + committee_indices = [ValidatorIndex(all_pubkeys.index(pubkey)) for pubkey in state.current_sync_committee.pubkeys] + for participant_index, participation_bit in zip(committee_indices, sync_aggregate.sync_committee_bits): + if participation_bit: + increase_balance(state, participant_index, participant_reward) + increase_balance(state, get_beacon_proposer_index(state), proposer_reward) + else: + decrease_balance(state, participant_index, participant_reward) + + +def process_inactivity_updates(state: BeaconState) -> None: + # Skip the genesis epoch as score updates are based on the previous epoch participation + if get_current_epoch(state) == GENESIS_EPOCH: + return + + for index in get_eligible_validator_indices(state): + # Increase the inactivity score of inactive validators + if index in get_unslashed_participating_indices(state, TIMELY_TARGET_FLAG_INDEX, get_previous_epoch(state)): + state.inactivity_scores[index] -= min(1, state.inactivity_scores[index]) + else: + state.inactivity_scores[index] += config.INACTIVITY_SCORE_BIAS + # Decrease the inactivity score of all eligible validators during a leak-free epoch + if not is_in_inactivity_leak(state): + state.inactivity_scores[index] -= min(config.INACTIVITY_SCORE_RECOVERY_RATE, state.inactivity_scores[index]) + + +def process_participation_flag_updates(state: BeaconState) -> None: + state.previous_epoch_participation = state.current_epoch_participation + state.current_epoch_participation = [ParticipationFlags(0b0000_0000) for _ in range(len(state.validators))] + + +def process_sync_committee_updates(state: BeaconState) -> None: + next_epoch = get_current_epoch(state) + Epoch(1) + if next_epoch % EPOCHS_PER_SYNC_COMMITTEE_PERIOD == 0: + state.current_sync_committee = state.next_sync_committee + state.next_sync_committee = get_next_sync_committee(state) + + +def compute_sync_committee_period(epoch: Epoch) -> uint64: + return epoch // EPOCHS_PER_SYNC_COMMITTEE_PERIOD + + +def is_assigned_to_sync_committee(state: BeaconState, + epoch: Epoch, + validator_index: ValidatorIndex) -> bool: + sync_committee_period = compute_sync_committee_period(epoch) + current_epoch = get_current_epoch(state) + current_sync_committee_period = compute_sync_committee_period(current_epoch) + next_sync_committee_period = current_sync_committee_period + 1 + assert sync_committee_period in (current_sync_committee_period, next_sync_committee_period) + + pubkey = state.validators[validator_index].pubkey + if sync_committee_period == current_sync_committee_period: + return pubkey in state.current_sync_committee.pubkeys + else: # sync_committee_period == next_sync_committee_period + return pubkey in state.next_sync_committee.pubkeys + + +def process_sync_committee_contributions(block: BeaconBlock, + contributions: Set[SyncCommitteeContribution]) -> None: + sync_aggregate = SyncAggregate() + signatures = [] + sync_subcommittee_size = SYNC_COMMITTEE_SIZE // SYNC_COMMITTEE_SUBNET_COUNT + + for contribution in contributions: + subcommittee_index = contribution.subcommittee_index + for index, participated in enumerate(contribution.aggregation_bits): + if participated: + participant_index = sync_subcommittee_size * subcommittee_index + index + sync_aggregate.sync_committee_bits[participant_index] = True + signatures.append(contribution.signature) + + sync_aggregate.sync_committee_signature = bls.Aggregate(signatures) + + block.body.sync_aggregate = sync_aggregate + + +def get_sync_committee_message(state: BeaconState, + block_root: Root, + validator_index: ValidatorIndex, + privkey: int) -> SyncCommitteeMessage: + epoch = get_current_epoch(state) + domain = get_domain(state, DOMAIN_SYNC_COMMITTEE, epoch) + signing_root = compute_signing_root(block_root, domain) + signature = bls.Sign(privkey, signing_root) + + return SyncCommitteeMessage( + slot=state.slot, + beacon_block_root=block_root, + validator_index=validator_index, + signature=signature, + ) + + +def compute_subnets_for_sync_committee(state: BeaconState, validator_index: ValidatorIndex) -> Set[uint64]: + next_slot_epoch = compute_epoch_at_slot(Slot(state.slot + 1)) + if compute_sync_committee_period(get_current_epoch(state)) == compute_sync_committee_period(next_slot_epoch): + sync_committee = state.current_sync_committee + else: + sync_committee = state.next_sync_committee + + target_pubkey = state.validators[validator_index].pubkey + sync_committee_indices = [index for index, pubkey in enumerate(sync_committee.pubkeys) if pubkey == target_pubkey] + return set([ + uint64(index // (SYNC_COMMITTEE_SIZE // SYNC_COMMITTEE_SUBNET_COUNT)) + for index in sync_committee_indices + ]) + + +def get_sync_committee_selection_proof(state: BeaconState, + slot: Slot, + subcommittee_index: uint64, + privkey: int) -> BLSSignature: + domain = get_domain(state, DOMAIN_SYNC_COMMITTEE_SELECTION_PROOF, compute_epoch_at_slot(slot)) + signing_data = SyncAggregatorSelectionData( + slot=slot, + subcommittee_index=subcommittee_index, + ) + signing_root = compute_signing_root(signing_data, domain) + return bls.Sign(privkey, signing_root) + + +def is_sync_committee_aggregator(signature: BLSSignature) -> bool: + modulo = max(1, SYNC_COMMITTEE_SIZE // SYNC_COMMITTEE_SUBNET_COUNT // TARGET_AGGREGATORS_PER_SYNC_SUBCOMMITTEE) + return bytes_to_uint64(hash(signature)[0:8]) % modulo == 0 + + +def get_contribution_and_proof(state: BeaconState, + aggregator_index: ValidatorIndex, + contribution: SyncCommitteeContribution, + privkey: int) -> ContributionAndProof: + selection_proof = get_sync_committee_selection_proof( + state, + contribution.slot, + contribution.subcommittee_index, + privkey, + ) + return ContributionAndProof( + aggregator_index=aggregator_index, + contribution=contribution, + selection_proof=selection_proof, + ) + + +def get_contribution_and_proof_signature(state: BeaconState, + contribution_and_proof: ContributionAndProof, + privkey: int) -> BLSSignature: + contribution = contribution_and_proof.contribution + domain = get_domain(state, DOMAIN_CONTRIBUTION_AND_PROOF, compute_epoch_at_slot(contribution.slot)) + signing_root = compute_signing_root(contribution_and_proof, domain) + return bls.Sign(privkey, signing_root) + + +def eth_aggregate_pubkeys(pubkeys: Sequence[BLSPubkey]) -> BLSPubkey: + return bls.AggregatePKs(pubkeys) + + +def eth_fast_aggregate_verify(pubkeys: Sequence[BLSPubkey], message: Bytes32, signature: BLSSignature) -> bool: + """ + Wrapper to ``bls.FastAggregateVerify`` accepting the ``G2_POINT_AT_INFINITY`` signature when ``pubkeys`` is empty. + """ + if len(pubkeys) == 0 and signature == G2_POINT_AT_INFINITY: + return True + return bls.FastAggregateVerify(pubkeys, message, signature) + + +def compute_fork_version(epoch: Epoch) -> Version: + """ + Return the fork version at the given ``epoch``. + """ + if epoch >= config.DENEB_FORK_EPOCH: + return config.DENEB_FORK_VERSION + if epoch >= config.CAPELLA_FORK_EPOCH: + return config.CAPELLA_FORK_VERSION + if epoch >= config.BELLATRIX_FORK_EPOCH: + return config.BELLATRIX_FORK_VERSION + if epoch >= config.ALTAIR_FORK_EPOCH: + return config.ALTAIR_FORK_VERSION + return config.GENESIS_FORK_VERSION + + +def translate_participation(state: BeaconState, pending_attestations: Sequence[phase0.PendingAttestation]) -> None: + for attestation in pending_attestations: + data = attestation.data + inclusion_delay = attestation.inclusion_delay + # Translate attestation inclusion info to flag indices + participation_flag_indices = get_attestation_participation_flag_indices(state, data, inclusion_delay) + + # Apply flags to all attesting validators + epoch_participation = state.previous_epoch_participation + for index in get_attesting_indices(state, attestation): + for flag_index in participation_flag_indices: + epoch_participation[index] = add_flag(epoch_participation[index], flag_index) + + +def upgrade_to_altair(pre: phase0.BeaconState) -> BeaconState: + epoch = phase0.get_current_epoch(pre) + post = BeaconState( + # Versioning + genesis_time=pre.genesis_time, + genesis_validators_root=pre.genesis_validators_root, + slot=pre.slot, + fork=Fork( + previous_version=pre.fork.current_version, + current_version=config.ALTAIR_FORK_VERSION, + epoch=epoch, + ), + # History + latest_block_header=pre.latest_block_header, + block_roots=pre.block_roots, + state_roots=pre.state_roots, + historical_roots=pre.historical_roots, + # Eth1 + eth1_data=pre.eth1_data, + eth1_data_votes=pre.eth1_data_votes, + eth1_deposit_index=pre.eth1_deposit_index, + # Registry + validators=pre.validators, + balances=pre.balances, + # Randomness + randao_mixes=pre.randao_mixes, + # Slashings + slashings=pre.slashings, + # Participation + previous_epoch_participation=[ParticipationFlags(0b0000_0000) for _ in range(len(pre.validators))], + current_epoch_participation=[ParticipationFlags(0b0000_0000) for _ in range(len(pre.validators))], + # Finality + justification_bits=pre.justification_bits, + previous_justified_checkpoint=pre.previous_justified_checkpoint, + current_justified_checkpoint=pre.current_justified_checkpoint, + finalized_checkpoint=pre.finalized_checkpoint, + # Inactivity + inactivity_scores=[uint64(0) for _ in range(len(pre.validators))], + ) + # Fill in previous epoch participation from the pre state's pending attestations + translate_participation(post, pre.previous_epoch_attestations) + + # Fill in sync committees + # Note: A duplicate committee is assigned for the current and next committee at the fork boundary + post.current_sync_committee = get_next_sync_committee(post) + post.next_sync_committee = get_next_sync_committee(post) + return post + + +def is_valid_light_client_header(header: LightClientHeader) -> bool: + epoch = compute_epoch_at_slot(header.beacon.slot) + + # [New in Deneb:EIP4844] + if epoch < config.DENEB_FORK_EPOCH: + if header.execution.blob_gas_used != uint64(0) or header.execution.excess_blob_gas != uint64(0): + return False + + if epoch < config.CAPELLA_FORK_EPOCH: + return ( + header.execution == ExecutionPayloadHeader() + and header.execution_branch == ExecutionBranch() + ) + + return is_valid_merkle_branch( + leaf=get_lc_execution_root(header), + branch=header.execution_branch, + depth=floorlog2(EXECUTION_PAYLOAD_GINDEX), + index=get_subtree_index(EXECUTION_PAYLOAD_GINDEX), + root=header.beacon.body_root, + ) + + +def is_sync_committee_update(update: LightClientUpdate) -> bool: + return update.next_sync_committee_branch != NextSyncCommitteeBranch() + + +def is_finality_update(update: LightClientUpdate) -> bool: + return update.finality_branch != FinalityBranch() + + +def is_better_update(new_update: LightClientUpdate, old_update: LightClientUpdate) -> bool: + # Compare supermajority (> 2/3) sync committee participation + max_active_participants = len(new_update.sync_aggregate.sync_committee_bits) + new_num_active_participants = sum(new_update.sync_aggregate.sync_committee_bits) + old_num_active_participants = sum(old_update.sync_aggregate.sync_committee_bits) + new_has_supermajority = new_num_active_participants * 3 >= max_active_participants * 2 + old_has_supermajority = old_num_active_participants * 3 >= max_active_participants * 2 + if new_has_supermajority != old_has_supermajority: + return new_has_supermajority > old_has_supermajority + if not new_has_supermajority and new_num_active_participants != old_num_active_participants: + return new_num_active_participants > old_num_active_participants + + # Compare presence of relevant sync committee + new_has_relevant_sync_committee = is_sync_committee_update(new_update) and ( + compute_sync_committee_period_at_slot(new_update.attested_header.beacon.slot) + == compute_sync_committee_period_at_slot(new_update.signature_slot) + ) + old_has_relevant_sync_committee = is_sync_committee_update(old_update) and ( + compute_sync_committee_period_at_slot(old_update.attested_header.beacon.slot) + == compute_sync_committee_period_at_slot(old_update.signature_slot) + ) + if new_has_relevant_sync_committee != old_has_relevant_sync_committee: + return new_has_relevant_sync_committee + + # Compare indication of any finality + new_has_finality = is_finality_update(new_update) + old_has_finality = is_finality_update(old_update) + if new_has_finality != old_has_finality: + return new_has_finality + + # Compare sync committee finality + if new_has_finality: + new_has_sync_committee_finality = ( + compute_sync_committee_period_at_slot(new_update.finalized_header.beacon.slot) + == compute_sync_committee_period_at_slot(new_update.attested_header.beacon.slot) + ) + old_has_sync_committee_finality = ( + compute_sync_committee_period_at_slot(old_update.finalized_header.beacon.slot) + == compute_sync_committee_period_at_slot(old_update.attested_header.beacon.slot) + ) + if new_has_sync_committee_finality != old_has_sync_committee_finality: + return new_has_sync_committee_finality + + # Tiebreaker 1: Sync committee participation beyond supermajority + if new_num_active_participants != old_num_active_participants: + return new_num_active_participants > old_num_active_participants + + # Tiebreaker 2: Prefer older data (fewer changes to best) + if new_update.attested_header.beacon.slot != old_update.attested_header.beacon.slot: + return new_update.attested_header.beacon.slot < old_update.attested_header.beacon.slot + return new_update.signature_slot < old_update.signature_slot + + +def is_next_sync_committee_known(store: LightClientStore) -> bool: + return store.next_sync_committee != SyncCommittee() + + +def get_safety_threshold(store: LightClientStore) -> uint64: + return max( + store.previous_max_active_participants, + store.current_max_active_participants, + ) // 2 + + +def get_subtree_index(generalized_index: GeneralizedIndex) -> uint64: + return uint64(generalized_index % 2**(floorlog2(generalized_index))) + + +def compute_sync_committee_period_at_slot(slot: Slot) -> uint64: + return compute_sync_committee_period(compute_epoch_at_slot(slot)) + + +def initialize_light_client_store(trusted_block_root: Root, + bootstrap: LightClientBootstrap) -> LightClientStore: + assert is_valid_light_client_header(bootstrap.header) + assert hash_tree_root(bootstrap.header.beacon) == trusted_block_root + + assert is_valid_merkle_branch( + leaf=hash_tree_root(bootstrap.current_sync_committee), + branch=bootstrap.current_sync_committee_branch, + depth=floorlog2(CURRENT_SYNC_COMMITTEE_GINDEX), + index=get_subtree_index(CURRENT_SYNC_COMMITTEE_GINDEX), + root=bootstrap.header.beacon.state_root, + ) + + return LightClientStore( + finalized_header=bootstrap.header, + current_sync_committee=bootstrap.current_sync_committee, + next_sync_committee=SyncCommittee(), + best_valid_update=None, + optimistic_header=bootstrap.header, + previous_max_active_participants=0, + current_max_active_participants=0, + ) + + +def validate_light_client_update(store: LightClientStore, + update: LightClientUpdate, + current_slot: Slot, + genesis_validators_root: Root) -> None: + # Verify sync committee has sufficient participants + sync_aggregate = update.sync_aggregate + assert sum(sync_aggregate.sync_committee_bits) >= MIN_SYNC_COMMITTEE_PARTICIPANTS + + # Verify update does not skip a sync committee period + assert is_valid_light_client_header(update.attested_header) + update_attested_slot = update.attested_header.beacon.slot + update_finalized_slot = update.finalized_header.beacon.slot + assert current_slot >= update.signature_slot > update_attested_slot >= update_finalized_slot + store_period = compute_sync_committee_period_at_slot(store.finalized_header.beacon.slot) + update_signature_period = compute_sync_committee_period_at_slot(update.signature_slot) + if is_next_sync_committee_known(store): + assert update_signature_period in (store_period, store_period + 1) + else: + assert update_signature_period == store_period + + # Verify update is relevant + update_attested_period = compute_sync_committee_period_at_slot(update_attested_slot) + update_has_next_sync_committee = not is_next_sync_committee_known(store) and ( + is_sync_committee_update(update) and update_attested_period == store_period + ) + assert ( + update_attested_slot > store.finalized_header.beacon.slot + or update_has_next_sync_committee + ) + + # Verify that the `finality_branch`, if present, confirms `finalized_header` + # to match the finalized checkpoint root saved in the state of `attested_header`. + # Note that the genesis finalized checkpoint root is represented as a zero hash. + if not is_finality_update(update): + assert update.finalized_header == LightClientHeader() + else: + if update_finalized_slot == GENESIS_SLOT: + assert update.finalized_header == LightClientHeader() + finalized_root = Bytes32() + else: + assert is_valid_light_client_header(update.finalized_header) + finalized_root = hash_tree_root(update.finalized_header.beacon) + assert is_valid_merkle_branch( + leaf=finalized_root, + branch=update.finality_branch, + depth=floorlog2(FINALIZED_ROOT_GINDEX), + index=get_subtree_index(FINALIZED_ROOT_GINDEX), + root=update.attested_header.beacon.state_root, + ) + + # Verify that the `next_sync_committee`, if present, actually is the next sync committee saved in the + # state of the `attested_header` + if not is_sync_committee_update(update): + assert update.next_sync_committee == SyncCommittee() + else: + if update_attested_period == store_period and is_next_sync_committee_known(store): + assert update.next_sync_committee == store.next_sync_committee + assert is_valid_merkle_branch( + leaf=hash_tree_root(update.next_sync_committee), + branch=update.next_sync_committee_branch, + depth=floorlog2(NEXT_SYNC_COMMITTEE_GINDEX), + index=get_subtree_index(NEXT_SYNC_COMMITTEE_GINDEX), + root=update.attested_header.beacon.state_root, + ) + + # Verify sync committee aggregate signature + if update_signature_period == store_period: + sync_committee = store.current_sync_committee + else: + sync_committee = store.next_sync_committee + participant_pubkeys = [ + pubkey for (bit, pubkey) in zip(sync_aggregate.sync_committee_bits, sync_committee.pubkeys) + if bit + ] + fork_version_slot = max(update.signature_slot, Slot(1)) - Slot(1) + fork_version = compute_fork_version(compute_epoch_at_slot(fork_version_slot)) + domain = compute_domain(DOMAIN_SYNC_COMMITTEE, fork_version, genesis_validators_root) + signing_root = compute_signing_root(update.attested_header.beacon, domain) + assert bls.FastAggregateVerify(participant_pubkeys, signing_root, sync_aggregate.sync_committee_signature) + + +def apply_light_client_update(store: LightClientStore, update: LightClientUpdate) -> None: + store_period = compute_sync_committee_period_at_slot(store.finalized_header.beacon.slot) + update_finalized_period = compute_sync_committee_period_at_slot(update.finalized_header.beacon.slot) + if not is_next_sync_committee_known(store): + assert update_finalized_period == store_period + store.next_sync_committee = update.next_sync_committee + elif update_finalized_period == store_period + 1: + store.current_sync_committee = store.next_sync_committee + store.next_sync_committee = update.next_sync_committee + store.previous_max_active_participants = store.current_max_active_participants + store.current_max_active_participants = 0 + if update.finalized_header.beacon.slot > store.finalized_header.beacon.slot: + store.finalized_header = update.finalized_header + if store.finalized_header.beacon.slot > store.optimistic_header.beacon.slot: + store.optimistic_header = store.finalized_header + + +def process_light_client_store_force_update(store: LightClientStore, current_slot: Slot) -> None: + if ( + current_slot > store.finalized_header.beacon.slot + UPDATE_TIMEOUT + and store.best_valid_update is not None + ): + # Forced best update when the update timeout has elapsed. + # Because the apply logic waits for `finalized_header.beacon.slot` to indicate sync committee finality, + # the `attested_header` may be treated as `finalized_header` in extended periods of non-finality + # to guarantee progression into later sync committee periods according to `is_better_update`. + if store.best_valid_update.finalized_header.beacon.slot <= store.finalized_header.beacon.slot: + store.best_valid_update.finalized_header = store.best_valid_update.attested_header + apply_light_client_update(store, store.best_valid_update) + store.best_valid_update = None + + +def process_light_client_update(store: LightClientStore, + update: LightClientUpdate, + current_slot: Slot, + genesis_validators_root: Root) -> None: + validate_light_client_update(store, update, current_slot, genesis_validators_root) + + sync_committee_bits = update.sync_aggregate.sync_committee_bits + + # Update the best update in case we have to force-update to it if the timeout elapses + if ( + store.best_valid_update is None + or is_better_update(update, store.best_valid_update) + ): + store.best_valid_update = update + + # Track the maximum number of active participants in the committee signatures + store.current_max_active_participants = max( + store.current_max_active_participants, + sum(sync_committee_bits), + ) + + # Update the optimistic header + if ( + sum(sync_committee_bits) > get_safety_threshold(store) + and update.attested_header.beacon.slot > store.optimistic_header.beacon.slot + ): + store.optimistic_header = update.attested_header + + # Update finalized header + update_has_finalized_next_sync_committee = ( + not is_next_sync_committee_known(store) + and is_sync_committee_update(update) and is_finality_update(update) and ( + compute_sync_committee_period_at_slot(update.finalized_header.beacon.slot) + == compute_sync_committee_period_at_slot(update.attested_header.beacon.slot) + ) + ) + if ( + sum(sync_committee_bits) * 3 >= len(sync_committee_bits) * 2 + and ( + update.finalized_header.beacon.slot > store.finalized_header.beacon.slot + or update_has_finalized_next_sync_committee + ) + ): + # Normal update through 2/3 threshold + apply_light_client_update(store, update) + store.best_valid_update = None + + +def process_light_client_finality_update(store: LightClientStore, + finality_update: LightClientFinalityUpdate, + current_slot: Slot, + genesis_validators_root: Root) -> None: + update = LightClientUpdate( + attested_header=finality_update.attested_header, + next_sync_committee=SyncCommittee(), + next_sync_committee_branch=NextSyncCommitteeBranch(), + finalized_header=finality_update.finalized_header, + finality_branch=finality_update.finality_branch, + sync_aggregate=finality_update.sync_aggregate, + signature_slot=finality_update.signature_slot, + ) + process_light_client_update(store, update, current_slot, genesis_validators_root) + + +def process_light_client_optimistic_update(store: LightClientStore, + optimistic_update: LightClientOptimisticUpdate, + current_slot: Slot, + genesis_validators_root: Root) -> None: + update = LightClientUpdate( + attested_header=optimistic_update.attested_header, + next_sync_committee=SyncCommittee(), + next_sync_committee_branch=NextSyncCommitteeBranch(), + finalized_header=LightClientHeader(), + finality_branch=FinalityBranch(), + sync_aggregate=optimistic_update.sync_aggregate, + signature_slot=optimistic_update.signature_slot, + ) + process_light_client_update(store, update, current_slot, genesis_validators_root) + + +def block_to_light_client_header(block: SignedBeaconBlock) -> LightClientHeader: + epoch = compute_epoch_at_slot(block.message.slot) + + if epoch >= config.CAPELLA_FORK_EPOCH: + payload = block.message.body.execution_payload + execution_header = ExecutionPayloadHeader( + parent_hash=payload.parent_hash, + fee_recipient=payload.fee_recipient, + state_root=payload.state_root, + receipts_root=payload.receipts_root, + logs_bloom=payload.logs_bloom, + prev_randao=payload.prev_randao, + block_number=payload.block_number, + gas_limit=payload.gas_limit, + gas_used=payload.gas_used, + timestamp=payload.timestamp, + extra_data=payload.extra_data, + base_fee_per_gas=payload.base_fee_per_gas, + block_hash=payload.block_hash, + transactions_root=hash_tree_root(payload.transactions), + withdrawals_root=hash_tree_root(payload.withdrawals), + ) + + # [New in Deneb:EIP4844] + if epoch >= config.DENEB_FORK_EPOCH: + execution_header.blob_gas_used = payload.blob_gas_used + execution_header.excess_blob_gas = payload.excess_blob_gas + + execution_branch = ExecutionBranch( + compute_merkle_proof(block.message.body, EXECUTION_PAYLOAD_GINDEX)) + else: + # Note that during fork transitions, `finalized_header` may still point to earlier forks. + # While Bellatrix blocks also contain an `ExecutionPayload` (minus `withdrawals_root`), + # it was not included in the corresponding light client data. To ensure compatibility + # with legacy data going through `upgrade_lc_header_to_capella`, leave out execution data. + execution_header = ExecutionPayloadHeader() + execution_branch = ExecutionBranch() + + return LightClientHeader( + beacon=BeaconBlockHeader( + slot=block.message.slot, + proposer_index=block.message.proposer_index, + parent_root=block.message.parent_root, + state_root=block.message.state_root, + body_root=hash_tree_root(block.message.body), + ), + execution=execution_header, + execution_branch=execution_branch, + ) + + +def create_light_client_bootstrap(state: BeaconState, + block: SignedBeaconBlock) -> LightClientBootstrap: + assert compute_epoch_at_slot(state.slot) >= config.ALTAIR_FORK_EPOCH + + assert state.slot == state.latest_block_header.slot + header = state.latest_block_header.copy() + header.state_root = hash_tree_root(state) + assert hash_tree_root(header) == hash_tree_root(block.message) + + return LightClientBootstrap( + header=block_to_light_client_header(block), + current_sync_committee=state.current_sync_committee, + current_sync_committee_branch=CurrentSyncCommitteeBranch( + compute_merkle_proof(state, CURRENT_SYNC_COMMITTEE_GINDEX)), + ) + + +def create_light_client_update(state: BeaconState, + block: SignedBeaconBlock, + attested_state: BeaconState, + attested_block: SignedBeaconBlock, + finalized_block: Optional[SignedBeaconBlock]) -> LightClientUpdate: + assert compute_epoch_at_slot(attested_state.slot) >= config.ALTAIR_FORK_EPOCH + assert sum(block.message.body.sync_aggregate.sync_committee_bits) >= MIN_SYNC_COMMITTEE_PARTICIPANTS + + assert state.slot == state.latest_block_header.slot + header = state.latest_block_header.copy() + header.state_root = hash_tree_root(state) + assert hash_tree_root(header) == hash_tree_root(block.message) + update_signature_period = compute_sync_committee_period_at_slot(block.message.slot) + + assert attested_state.slot == attested_state.latest_block_header.slot + attested_header = attested_state.latest_block_header.copy() + attested_header.state_root = hash_tree_root(attested_state) + assert hash_tree_root(attested_header) == hash_tree_root(attested_block.message) == block.message.parent_root + update_attested_period = compute_sync_committee_period_at_slot(attested_block.message.slot) + + update = LightClientUpdate() + + update.attested_header = block_to_light_client_header(attested_block) + + # `next_sync_committee` is only useful if the message is signed by the current sync committee + if update_attested_period == update_signature_period: + update.next_sync_committee = attested_state.next_sync_committee + update.next_sync_committee_branch = NextSyncCommitteeBranch( + compute_merkle_proof(attested_state, NEXT_SYNC_COMMITTEE_GINDEX)) + + # Indicate finality whenever possible + if finalized_block is not None: + if finalized_block.message.slot != GENESIS_SLOT: + update.finalized_header = block_to_light_client_header(finalized_block) + assert hash_tree_root(update.finalized_header.beacon) == attested_state.finalized_checkpoint.root + else: + assert attested_state.finalized_checkpoint.root == Bytes32() + update.finality_branch = FinalityBranch( + compute_merkle_proof(attested_state, FINALIZED_ROOT_GINDEX)) + + update.sync_aggregate = block.message.body.sync_aggregate + update.signature_slot = block.message.slot + + return update + + +def create_light_client_finality_update(update: LightClientUpdate) -> LightClientFinalityUpdate: + return LightClientFinalityUpdate( + attested_header=update.attested_header, + finalized_header=update.finalized_header, + finality_branch=update.finality_branch, + sync_aggregate=update.sync_aggregate, + signature_slot=update.signature_slot, + ) + + +def create_light_client_optimistic_update(update: LightClientUpdate) -> LightClientOptimisticUpdate: + return LightClientOptimisticUpdate( + attested_header=update.attested_header, + sync_aggregate=update.sync_aggregate, + signature_slot=update.signature_slot, + ) + + +def is_merge_transition_complete(state: BeaconState) -> bool: + return state.latest_execution_payload_header != ExecutionPayloadHeader() + + +def is_merge_transition_block(state: BeaconState, body: BeaconBlockBody) -> bool: + return not is_merge_transition_complete(state) and body.execution_payload != ExecutionPayload() + + +def is_execution_enabled(state: BeaconState, body: BeaconBlockBody) -> bool: + return is_merge_transition_block(state, body) or is_merge_transition_complete(state) + + +def compute_timestamp_at_slot(state: BeaconState, slot: Slot) -> uint64: + slots_since_genesis = slot - GENESIS_SLOT + return uint64(state.genesis_time + slots_since_genesis * config.SECONDS_PER_SLOT) + + +def process_execution_payload(state: BeaconState, body: BeaconBlockBody, execution_engine: ExecutionEngine) -> None: + payload = body.execution_payload + + # Verify consistency of the parent hash with respect to the previous execution payload header + assert payload.parent_hash == state.latest_execution_payload_header.block_hash + # Verify prev_randao + assert payload.prev_randao == get_randao_mix(state, get_current_epoch(state)) + # Verify timestamp + assert payload.timestamp == compute_timestamp_at_slot(state, state.slot) + + # [New in Deneb:EIP4844] Verify commitments are under limit + assert len(body.blob_kzg_commitments) <= MAX_BLOBS_PER_BLOCK + + # Verify the execution payload is valid + # [Modified in Deneb:EIP4844] Pass `versioned_hashes` to Execution Engine + # [Modified in Deneb:EIP4788] Pass `parent_beacon_block_root` to Execution Engine + versioned_hashes = [kzg_commitment_to_versioned_hash(commitment) for commitment in body.blob_kzg_commitments] + assert execution_engine.verify_and_notify_new_payload( + NewPayloadRequest( + execution_payload=payload, + versioned_hashes=versioned_hashes, + parent_beacon_block_root=state.latest_block_header.parent_root, + ) + ) + + # Cache execution payload header + state.latest_execution_payload_header = ExecutionPayloadHeader( + parent_hash=payload.parent_hash, + fee_recipient=payload.fee_recipient, + state_root=payload.state_root, + receipts_root=payload.receipts_root, + logs_bloom=payload.logs_bloom, + prev_randao=payload.prev_randao, + block_number=payload.block_number, + gas_limit=payload.gas_limit, + gas_used=payload.gas_used, + timestamp=payload.timestamp, + extra_data=payload.extra_data, + base_fee_per_gas=payload.base_fee_per_gas, + block_hash=payload.block_hash, + transactions_root=hash_tree_root(payload.transactions), + withdrawals_root=hash_tree_root(payload.withdrawals), + blob_gas_used=payload.blob_gas_used, # [New in Deneb:EIP4844] + excess_blob_gas=payload.excess_blob_gas, # [New in Deneb:EIP4844] + ) + + +def should_override_forkchoice_update(store: Store, head_root: Root) -> bool: + head_block = store.blocks[head_root] + parent_root = head_block.parent_root + parent_block = store.blocks[parent_root] + current_slot = get_current_slot(store) + proposal_slot = head_block.slot + Slot(1) + + # Only re-org the head_block block if it arrived later than the attestation deadline. + head_late = is_head_late(store, head_root) + + # Shuffling stable. + shuffling_stable = is_shuffling_stable(proposal_slot) + + # FFG information of the new head_block will be competitive with the current head. + ffg_competitive = is_ffg_competitive(store, head_root, parent_root) + + # Do not re-org if the chain is not finalizing with acceptable frequency. + finalization_ok = is_finalization_ok(store, proposal_slot) + + # Only suppress the fork choice update if we are confident that we will propose the next block. + parent_state_advanced = store.block_states[parent_root].copy() + process_slots(parent_state_advanced, proposal_slot) + proposer_index = get_beacon_proposer_index(parent_state_advanced) + proposing_reorg_slot = validator_is_connected(proposer_index) + + # Single slot re-org. + parent_slot_ok = parent_block.slot + 1 == head_block.slot + proposing_on_time = is_proposing_on_time(store) + + # Note that this condition is different from `get_proposer_head` + current_time_ok = (head_block.slot == current_slot + or (proposal_slot == current_slot and proposing_on_time)) + single_slot_reorg = parent_slot_ok and current_time_ok + + # Check the head weight only if the attestations from the head slot have already been applied. + # Implementations may want to do this in different ways, e.g. by advancing + # `store.time` early, or by counting queued attestations during the head block's slot. + if current_slot > head_block.slot: + head_weak = is_head_weak(store, head_root) + parent_strong = is_parent_strong(store, parent_root) + else: + head_weak = True + parent_strong = True + + return all([head_late, shuffling_stable, ffg_competitive, finalization_ok, + proposing_reorg_slot, single_slot_reorg, + head_weak, parent_strong]) + + +def is_valid_terminal_pow_block(block: PowBlock, parent: PowBlock) -> bool: + is_total_difficulty_reached = block.total_difficulty >= config.TERMINAL_TOTAL_DIFFICULTY + is_parent_total_difficulty_valid = parent.total_difficulty < config.TERMINAL_TOTAL_DIFFICULTY + return is_total_difficulty_reached and is_parent_total_difficulty_valid + + +def validate_merge_block(block: BeaconBlock) -> None: + """ + Check the parent PoW block of execution payload is a valid terminal PoW block. + + Note: Unavailable PoW block(s) may later become available, + and a client software MAY delay a call to ``validate_merge_block`` + until the PoW block(s) become available. + """ + if config.TERMINAL_BLOCK_HASH != Hash32(): + # If `config.TERMINAL_BLOCK_HASH` is used as an override, the activation epoch must be reached. + assert compute_epoch_at_slot(block.slot) >= config.TERMINAL_BLOCK_HASH_ACTIVATION_EPOCH + assert block.body.execution_payload.parent_hash == config.TERMINAL_BLOCK_HASH + return + + pow_block = get_pow_block(block.body.execution_payload.parent_hash) + # Check if `pow_block` is available + assert pow_block is not None + pow_parent = get_pow_block(pow_block.parent_hash) + # Check if `pow_parent` is available + assert pow_parent is not None + # Check if `pow_block` is a valid terminal PoW block + assert is_valid_terminal_pow_block(pow_block, pow_parent) + + +def get_pow_block_at_terminal_total_difficulty(pow_chain: Dict[Hash32, PowBlock]) -> Optional[PowBlock]: + # `pow_chain` abstractly represents all blocks in the PoW chain + for block in pow_chain.values(): + block_reached_ttd = block.total_difficulty >= config.TERMINAL_TOTAL_DIFFICULTY + if block_reached_ttd: + # If genesis block, no parent exists so reaching TTD alone qualifies as valid terminal block + if block.parent_hash == Hash32(): + return block + parent = pow_chain[block.parent_hash] + parent_reached_ttd = parent.total_difficulty >= config.TERMINAL_TOTAL_DIFFICULTY + if not parent_reached_ttd: + return block + + return None + + +def get_terminal_pow_block(pow_chain: Dict[Hash32, PowBlock]) -> Optional[PowBlock]: + if config.TERMINAL_BLOCK_HASH != Hash32(): + # Terminal block hash override takes precedence over terminal total difficulty + if config.TERMINAL_BLOCK_HASH in pow_chain: + return pow_chain[config.TERMINAL_BLOCK_HASH] + else: + return None + + return get_pow_block_at_terminal_total_difficulty(pow_chain) + + +def prepare_execution_payload(state: BeaconState, + safe_block_hash: Hash32, + finalized_block_hash: Hash32, + suggested_fee_recipient: ExecutionAddress, + execution_engine: ExecutionEngine) -> Optional[PayloadId]: + # Verify consistency of the parent hash with respect to the previous execution payload header + parent_hash = state.latest_execution_payload_header.block_hash + + # Set the forkchoice head and initiate the payload build process + payload_attributes = PayloadAttributes( + timestamp=compute_timestamp_at_slot(state, state.slot), + prev_randao=get_randao_mix(state, get_current_epoch(state)), + suggested_fee_recipient=suggested_fee_recipient, + withdrawals=get_expected_withdrawals(state), + parent_beacon_block_root=hash_tree_root(state.latest_block_header), # [New in Deneb:EIP4788] + ) + return execution_engine.notify_forkchoice_updated( + head_block_hash=parent_hash, + safe_block_hash=safe_block_hash, + finalized_block_hash=finalized_block_hash, + payload_attributes=payload_attributes, + ) + + +def get_execution_payload(payload_id: Optional[PayloadId], execution_engine: ExecutionEngine) -> ExecutionPayload: + if payload_id is None: + # Pre-merge, empty payload + return ExecutionPayload() + else: + return execution_engine.get_payload(payload_id).execution_payload + + +def upgrade_to_bellatrix(pre: altair.BeaconState) -> BeaconState: + epoch = altair.get_current_epoch(pre) + post = BeaconState( + # Versioning + genesis_time=pre.genesis_time, + genesis_validators_root=pre.genesis_validators_root, + slot=pre.slot, + fork=Fork( + previous_version=pre.fork.current_version, + current_version=config.BELLATRIX_FORK_VERSION, + epoch=epoch, + ), + # History + latest_block_header=pre.latest_block_header, + block_roots=pre.block_roots, + state_roots=pre.state_roots, + historical_roots=pre.historical_roots, + # Eth1 + eth1_data=pre.eth1_data, + eth1_data_votes=pre.eth1_data_votes, + eth1_deposit_index=pre.eth1_deposit_index, + # Registry + validators=pre.validators, + balances=pre.balances, + # Randomness + randao_mixes=pre.randao_mixes, + # Slashings + slashings=pre.slashings, + # Participation + previous_epoch_participation=pre.previous_epoch_participation, + current_epoch_participation=pre.current_epoch_participation, + # Finality + justification_bits=pre.justification_bits, + previous_justified_checkpoint=pre.previous_justified_checkpoint, + current_justified_checkpoint=pre.current_justified_checkpoint, + finalized_checkpoint=pre.finalized_checkpoint, + # Inactivity + inactivity_scores=pre.inactivity_scores, + # Sync + current_sync_committee=pre.current_sync_committee, + next_sync_committee=pre.next_sync_committee, + # Execution-layer + latest_execution_payload_header=ExecutionPayloadHeader(), + ) + + return post + + +def is_optimistic(opt_store: OptimisticStore, block: BeaconBlock) -> bool: + return hash_tree_root(block) in opt_store.optimistic_roots + + +def latest_verified_ancestor(opt_store: OptimisticStore, block: BeaconBlock) -> BeaconBlock: + # It is assumed that the `block` parameter is never an INVALIDATED block. + while True: + if not is_optimistic(opt_store, block) or block.parent_root == Root(): + return block + block = opt_store.blocks[block.parent_root] + + +def is_execution_block(block: BeaconBlock) -> bool: + return block.body.execution_payload != ExecutionPayload() + + +def is_optimistic_candidate_block(opt_store: OptimisticStore, current_slot: Slot, block: BeaconBlock) -> bool: + if is_execution_block(opt_store.blocks[block.parent_root]): + return True + + if block.slot + SAFE_SLOTS_TO_IMPORT_OPTIMISTICALLY <= current_slot: + return True + + return False + + +def has_eth1_withdrawal_credential(validator: Validator) -> bool: + """ + Check if ``validator`` has an 0x01 prefixed "eth1" withdrawal credential. + """ + return validator.withdrawal_credentials[:1] == ETH1_ADDRESS_WITHDRAWAL_PREFIX + + +def is_fully_withdrawable_validator(validator: Validator, balance: Gwei, epoch: Epoch) -> bool: + """ + Check if ``validator`` is fully withdrawable. + """ + return ( + has_eth1_withdrawal_credential(validator) + and validator.withdrawable_epoch <= epoch + and balance > 0 + ) + + +def is_partially_withdrawable_validator(validator: Validator, balance: Gwei) -> bool: + """ + Check if ``validator`` is partially withdrawable. + """ + has_max_effective_balance = validator.effective_balance == MAX_EFFECTIVE_BALANCE + has_excess_balance = balance > MAX_EFFECTIVE_BALANCE + return has_eth1_withdrawal_credential(validator) and has_max_effective_balance and has_excess_balance + + +def process_historical_summaries_update(state: BeaconState) -> None: + # Set historical block root accumulator. + next_epoch = Epoch(get_current_epoch(state) + 1) + if next_epoch % (SLOTS_PER_HISTORICAL_ROOT // SLOTS_PER_EPOCH) == 0: + historical_summary = HistoricalSummary( + block_summary_root=hash_tree_root(state.block_roots), + state_summary_root=hash_tree_root(state.state_roots), + ) + state.historical_summaries.append(historical_summary) + + +def get_expected_withdrawals(state: BeaconState) -> Sequence[Withdrawal]: + epoch = get_current_epoch(state) + withdrawal_index = state.next_withdrawal_index + validator_index = state.next_withdrawal_validator_index + withdrawals: List[Withdrawal] = [] + bound = min(len(state.validators), MAX_VALIDATORS_PER_WITHDRAWALS_SWEEP) + for _ in range(bound): + validator = state.validators[validator_index] + balance = state.balances[validator_index] + if is_fully_withdrawable_validator(validator, balance, epoch): + withdrawals.append(Withdrawal( + index=withdrawal_index, + validator_index=validator_index, + address=ExecutionAddress(validator.withdrawal_credentials[12:]), + amount=balance, + )) + withdrawal_index += WithdrawalIndex(1) + elif is_partially_withdrawable_validator(validator, balance): + withdrawals.append(Withdrawal( + index=withdrawal_index, + validator_index=validator_index, + address=ExecutionAddress(validator.withdrawal_credentials[12:]), + amount=balance - MAX_EFFECTIVE_BALANCE, + )) + withdrawal_index += WithdrawalIndex(1) + if len(withdrawals) == MAX_WITHDRAWALS_PER_PAYLOAD: + break + validator_index = ValidatorIndex((validator_index + 1) % len(state.validators)) + return withdrawals + + +def process_withdrawals(state: BeaconState, payload: ExecutionPayload) -> None: + expected_withdrawals = get_expected_withdrawals(state) + assert len(payload.withdrawals) == len(expected_withdrawals) + + for expected_withdrawal, withdrawal in zip(expected_withdrawals, payload.withdrawals): + assert withdrawal == expected_withdrawal + decrease_balance(state, withdrawal.validator_index, withdrawal.amount) + + # Update the next withdrawal index if this block contained withdrawals + if len(expected_withdrawals) != 0: + latest_withdrawal = expected_withdrawals[-1] + state.next_withdrawal_index = WithdrawalIndex(latest_withdrawal.index + 1) + + # Update the next validator index to start the next withdrawal sweep + if len(expected_withdrawals) == MAX_WITHDRAWALS_PER_PAYLOAD: + # Next sweep starts after the latest withdrawal's validator index + next_validator_index = ValidatorIndex((expected_withdrawals[-1].validator_index + 1) % len(state.validators)) + state.next_withdrawal_validator_index = next_validator_index + else: + # Advance sweep by the max length of the sweep if there was not a full set of withdrawals + next_index = state.next_withdrawal_validator_index + MAX_VALIDATORS_PER_WITHDRAWALS_SWEEP + next_validator_index = ValidatorIndex(next_index % len(state.validators)) + state.next_withdrawal_validator_index = next_validator_index + + +def process_bls_to_execution_change(state: BeaconState, + signed_address_change: SignedBLSToExecutionChange) -> None: + address_change = signed_address_change.message + + assert address_change.validator_index < len(state.validators) + + validator = state.validators[address_change.validator_index] + + assert validator.withdrawal_credentials[:1] == BLS_WITHDRAWAL_PREFIX + assert validator.withdrawal_credentials[1:] == hash(address_change.from_bls_pubkey)[1:] + + # Fork-agnostic domain since address changes are valid across forks + domain = compute_domain(DOMAIN_BLS_TO_EXECUTION_CHANGE, genesis_validators_root=state.genesis_validators_root) + signing_root = compute_signing_root(address_change, domain) + assert bls.Verify(address_change.from_bls_pubkey, signing_root, signed_address_change.signature) + + validator.withdrawal_credentials = ( + ETH1_ADDRESS_WITHDRAWAL_PREFIX + + b'\x00' * 11 + + address_change.to_execution_address + ) + + +def upgrade_to_capella(pre: bellatrix.BeaconState) -> BeaconState: + epoch = bellatrix.get_current_epoch(pre) + latest_execution_payload_header = ExecutionPayloadHeader( + parent_hash=pre.latest_execution_payload_header.parent_hash, + fee_recipient=pre.latest_execution_payload_header.fee_recipient, + state_root=pre.latest_execution_payload_header.state_root, + receipts_root=pre.latest_execution_payload_header.receipts_root, + logs_bloom=pre.latest_execution_payload_header.logs_bloom, + prev_randao=pre.latest_execution_payload_header.prev_randao, + block_number=pre.latest_execution_payload_header.block_number, + gas_limit=pre.latest_execution_payload_header.gas_limit, + gas_used=pre.latest_execution_payload_header.gas_used, + timestamp=pre.latest_execution_payload_header.timestamp, + extra_data=pre.latest_execution_payload_header.extra_data, + base_fee_per_gas=pre.latest_execution_payload_header.base_fee_per_gas, + block_hash=pre.latest_execution_payload_header.block_hash, + transactions_root=pre.latest_execution_payload_header.transactions_root, + withdrawals_root=Root(), # [New in Capella] + ) + post = BeaconState( + # Versioning + genesis_time=pre.genesis_time, + genesis_validators_root=pre.genesis_validators_root, + slot=pre.slot, + fork=Fork( + previous_version=pre.fork.current_version, + current_version=config.CAPELLA_FORK_VERSION, + epoch=epoch, + ), + # History + latest_block_header=pre.latest_block_header, + block_roots=pre.block_roots, + state_roots=pre.state_roots, + historical_roots=pre.historical_roots, + # Eth1 + eth1_data=pre.eth1_data, + eth1_data_votes=pre.eth1_data_votes, + eth1_deposit_index=pre.eth1_deposit_index, + # Registry + validators=pre.validators, + balances=pre.balances, + # Randomness + randao_mixes=pre.randao_mixes, + # Slashings + slashings=pre.slashings, + # Participation + previous_epoch_participation=pre.previous_epoch_participation, + current_epoch_participation=pre.current_epoch_participation, + # Finality + justification_bits=pre.justification_bits, + previous_justified_checkpoint=pre.previous_justified_checkpoint, + current_justified_checkpoint=pre.current_justified_checkpoint, + finalized_checkpoint=pre.finalized_checkpoint, + # Inactivity + inactivity_scores=pre.inactivity_scores, + # Sync + current_sync_committee=pre.current_sync_committee, + next_sync_committee=pre.next_sync_committee, + # Execution-layer + latest_execution_payload_header=latest_execution_payload_header, + # Withdrawals + next_withdrawal_index=WithdrawalIndex(0), # [New in Capella] + next_withdrawal_validator_index=ValidatorIndex(0), # [New in Capella] + # Deep history valid from Capella onwards + historical_summaries=List[HistoricalSummary, HISTORICAL_ROOTS_LIMIT]([]), # [New in Capella] + ) + + return post + + +def get_lc_execution_root(header: LightClientHeader) -> Root: + epoch = compute_epoch_at_slot(header.beacon.slot) + + # [New in Deneb] + if epoch >= config.DENEB_FORK_EPOCH: + return hash_tree_root(header.execution) + + # [Modified in Deneb] + if epoch >= config.CAPELLA_FORK_EPOCH: + execution_header = capella.ExecutionPayloadHeader( + parent_hash=header.execution.parent_hash, + fee_recipient=header.execution.fee_recipient, + state_root=header.execution.state_root, + receipts_root=header.execution.receipts_root, + logs_bloom=header.execution.logs_bloom, + prev_randao=header.execution.prev_randao, + block_number=header.execution.block_number, + gas_limit=header.execution.gas_limit, + gas_used=header.execution.gas_used, + timestamp=header.execution.timestamp, + extra_data=header.execution.extra_data, + base_fee_per_gas=header.execution.base_fee_per_gas, + block_hash=header.execution.block_hash, + transactions_root=header.execution.transactions_root, + withdrawals_root=header.execution.withdrawals_root, + ) + return hash_tree_root(execution_header) + + return Root() + + +def upgrade_lc_header_to_capella(pre: bellatrix.LightClientHeader) -> LightClientHeader: + return LightClientHeader( + beacon=pre.beacon, + ) + + +def upgrade_lc_bootstrap_to_capella(pre: bellatrix.LightClientBootstrap) -> LightClientBootstrap: + return LightClientBootstrap( + header=upgrade_lc_header_to_capella(pre.header), + current_sync_committee=pre.current_sync_committee, + current_sync_committee_branch=pre.current_sync_committee_branch, + ) + + +def upgrade_lc_update_to_capella(pre: bellatrix.LightClientUpdate) -> LightClientUpdate: + return LightClientUpdate( + attested_header=upgrade_lc_header_to_capella(pre.attested_header), + next_sync_committee=pre.next_sync_committee, + next_sync_committee_branch=pre.next_sync_committee_branch, + finalized_header=upgrade_lc_header_to_capella(pre.finalized_header), + finality_branch=pre.finality_branch, + sync_aggregate=pre.sync_aggregate, + signature_slot=pre.signature_slot, + ) + + +def upgrade_lc_finality_update_to_capella(pre: bellatrix.LightClientFinalityUpdate) -> LightClientFinalityUpdate: + return LightClientFinalityUpdate( + attested_header=upgrade_lc_header_to_capella(pre.attested_header), + finalized_header=upgrade_lc_header_to_capella(pre.finalized_header), + finality_branch=pre.finality_branch, + sync_aggregate=pre.sync_aggregate, + signature_slot=pre.signature_slot, + ) + + +def upgrade_lc_optimistic_update_to_capella(pre: bellatrix.LightClientOptimisticUpdate) -> LightClientOptimisticUpdate: + return LightClientOptimisticUpdate( + attested_header=upgrade_lc_header_to_capella(pre.attested_header), + sync_aggregate=pre.sync_aggregate, + signature_slot=pre.signature_slot, + ) + + +def upgrade_lc_store_to_capella(pre: bellatrix.LightClientStore) -> LightClientStore: + if pre.best_valid_update is None: + best_valid_update = None + else: + best_valid_update = upgrade_lc_update_to_capella(pre.best_valid_update) + return LightClientStore( + finalized_header=upgrade_lc_header_to_capella(pre.finalized_header), + current_sync_committee=pre.current_sync_committee, + next_sync_committee=pre.next_sync_committee, + best_valid_update=best_valid_update, + optimistic_header=upgrade_lc_header_to_capella(pre.optimistic_header), + previous_max_active_participants=pre.previous_max_active_participants, + current_max_active_participants=pre.current_max_active_participants, + ) + + +def is_power_of_two(value: int) -> bool: + """ + Check if ``value`` is a power of two integer. + """ + return (value > 0) and (value & (value - 1) == 0) + + +def reverse_bits(n: int, order: int) -> int: + """ + Reverse the bit order of an integer ``n``. + """ + assert is_power_of_two(order) + # Convert n to binary with the same number of bits as "order" - 1, then reverse its bit order + return int(('{:0' + str(order.bit_length() - 1) + 'b}').format(n)[::-1], 2) + + +def bit_reversal_permutation(sequence: Sequence[T]) -> Sequence[T]: + """ + Return a copy with bit-reversed permutation. The permutation is an involution (inverts itself). + + The input and output are a sequence of generic type ``T`` objects. + """ + return [sequence[reverse_bits(i, len(sequence))] for i in range(len(sequence))] + + +def hash_to_bls_field(data: bytes) -> BLSFieldElement: + """ + Hash ``data`` and convert the output to a BLS scalar field element. + The output is not uniform over the BLS field. + """ + hashed_data = hash(data) + return BLSFieldElement(int.from_bytes(hashed_data, KZG_ENDIANNESS) % BLS_MODULUS) + + +def bytes_to_bls_field(b: Bytes32) -> BLSFieldElement: + """ + Convert untrusted bytes to a trusted and validated BLS scalar field element. + This function does not accept inputs greater than the BLS modulus. + """ + field_element = int.from_bytes(b, KZG_ENDIANNESS) + assert field_element < BLS_MODULUS + return BLSFieldElement(field_element) + + +def validate_kzg_g1(b: Bytes48) -> None: + """ + Perform BLS validation required by the types `KZGProof` and `KZGCommitment`. + """ + if b == G1_POINT_AT_INFINITY: + return + + assert bls.KeyValidate(b) + + +def bytes_to_kzg_commitment(b: Bytes48) -> KZGCommitment: + """ + Convert untrusted bytes into a trusted and validated KZGCommitment. + """ + validate_kzg_g1(b) + return KZGCommitment(b) + + +def bytes_to_kzg_proof(b: Bytes48) -> KZGProof: + """ + Convert untrusted bytes into a trusted and validated KZGProof. + """ + validate_kzg_g1(b) + return KZGProof(b) + + +def blob_to_polynomial(blob: Blob) -> Polynomial: + """ + Convert a blob to list of BLS field scalars. + """ + polynomial = Polynomial() + for i in range(FIELD_ELEMENTS_PER_BLOB): + value = bytes_to_bls_field(blob[i * BYTES_PER_FIELD_ELEMENT: (i + 1) * BYTES_PER_FIELD_ELEMENT]) + polynomial[i] = value + return polynomial + + +def compute_challenge(blob: Blob, + commitment: KZGCommitment) -> BLSFieldElement: + """ + Return the Fiat-Shamir challenge required by the rest of the protocol. + """ + + # Append the degree of the polynomial as a domain separator + degree_poly = int.to_bytes(FIELD_ELEMENTS_PER_BLOB, 16, KZG_ENDIANNESS) + data = FIAT_SHAMIR_PROTOCOL_DOMAIN + degree_poly + + data += blob + data += commitment + + # Transcript has been prepared: time to create the challenge + return hash_to_bls_field(data) + + +def bls_modular_inverse(x: BLSFieldElement) -> BLSFieldElement: + """ + Compute the modular inverse of x (for x != 0) + i.e. return y such that x * y % BLS_MODULUS == 1 + """ + assert (int(x) % BLS_MODULUS) != 0 + return BLSFieldElement(pow(x, -1, BLS_MODULUS)) + + +def div(x: BLSFieldElement, y: BLSFieldElement) -> BLSFieldElement: + """ + Divide two field elements: ``x`` by `y``. + """ + return BLSFieldElement((int(x) * int(bls_modular_inverse(y))) % BLS_MODULUS) + + +def g1_lincomb(points: Sequence[KZGCommitment], scalars: Sequence[BLSFieldElement]) -> KZGCommitment: + """ + BLS multiscalar multiplication. This function can be optimized using Pippenger's algorithm and variants. + """ + assert len(points) == len(scalars) + result = bls.Z1() + for x, a in zip(points, scalars): + result = bls.add(result, bls.multiply(bls.bytes48_to_G1(x), a)) + return KZGCommitment(bls.G1_to_bytes48(result)) + + +def compute_powers(x: BLSFieldElement, n: uint64) -> Sequence[BLSFieldElement]: + """ + Return ``x`` to power of [0, n-1], if n > 0. When n==0, an empty array is returned. + """ + current_power = 1 + powers = [] + for _ in range(n): + powers.append(BLSFieldElement(current_power)) + current_power = current_power * int(x) % BLS_MODULUS + return powers + + +def compute_roots_of_unity(order: uint64) -> Sequence[BLSFieldElement]: + """ + Return roots of unity of ``order``. + """ + assert (BLS_MODULUS - 1) % int(order) == 0 + root_of_unity = BLSFieldElement(pow(PRIMITIVE_ROOT_OF_UNITY, (BLS_MODULUS - 1) // int(order), BLS_MODULUS)) + return compute_powers(root_of_unity, order) + + +def evaluate_polynomial_in_evaluation_form(polynomial: Polynomial, + z: BLSFieldElement) -> BLSFieldElement: + """ + Evaluate a polynomial (in evaluation form) at an arbitrary point ``z``. + - When ``z`` is in the domain, the evaluation can be found by indexing the polynomial at the + position that ``z`` is in the domain. + - When ``z`` is not in the domain, the barycentric formula is used: + f(z) = (z**WIDTH - 1) / WIDTH * sum_(i=0)^WIDTH (f(DOMAIN[i]) * DOMAIN[i]) / (z - DOMAIN[i]) + """ + width = len(polynomial) + assert width == FIELD_ELEMENTS_PER_BLOB + inverse_width = bls_modular_inverse(BLSFieldElement(width)) + + roots_of_unity_brp = bit_reversal_permutation(compute_roots_of_unity(FIELD_ELEMENTS_PER_BLOB)) + + # If we are asked to evaluate within the domain, we already know the answer + if z in roots_of_unity_brp: + eval_index = roots_of_unity_brp.index(z) + return BLSFieldElement(polynomial[eval_index]) + + result = 0 + for i in range(width): + a = BLSFieldElement(int(polynomial[i]) * int(roots_of_unity_brp[i]) % BLS_MODULUS) + b = BLSFieldElement((int(BLS_MODULUS) + int(z) - int(roots_of_unity_brp[i])) % BLS_MODULUS) + result += int(div(a, b) % BLS_MODULUS) + result = result * int(BLS_MODULUS + pow(z, width, BLS_MODULUS) - 1) * int(inverse_width) + return BLSFieldElement(result % BLS_MODULUS) + + +def blob_to_kzg_commitment(blob: Blob) -> KZGCommitment: + """ + Public method. + """ + assert len(blob) == BYTES_PER_BLOB + return g1_lincomb(bit_reversal_permutation(KZG_SETUP_G1_LAGRANGE), blob_to_polynomial(blob)) + + +def verify_kzg_proof(commitment_bytes: Bytes48, + z_bytes: Bytes32, + y_bytes: Bytes32, + proof_bytes: Bytes48) -> bool: + """ + Verify KZG proof that ``p(z) == y`` where ``p(z)`` is the polynomial represented by ``polynomial_kzg``. + Receives inputs as bytes. + Public method. + """ + assert len(commitment_bytes) == BYTES_PER_COMMITMENT + assert len(z_bytes) == BYTES_PER_FIELD_ELEMENT + assert len(y_bytes) == BYTES_PER_FIELD_ELEMENT + assert len(proof_bytes) == BYTES_PER_PROOF + + return verify_kzg_proof_impl(bytes_to_kzg_commitment(commitment_bytes), + bytes_to_bls_field(z_bytes), + bytes_to_bls_field(y_bytes), + bytes_to_kzg_proof(proof_bytes)) + + +def verify_kzg_proof_impl(commitment: KZGCommitment, + z: BLSFieldElement, + y: BLSFieldElement, + proof: KZGProof) -> bool: + """ + Verify KZG proof that ``p(z) == y`` where ``p(z)`` is the polynomial represented by ``polynomial_kzg``. + """ + # Verify: P - y = Q * (X - z) + X_minus_z = bls.add( + bls.bytes96_to_G2(KZG_SETUP_G2_MONOMIAL[1]), + bls.multiply(bls.G2(), (BLS_MODULUS - z) % BLS_MODULUS), + ) + P_minus_y = bls.add(bls.bytes48_to_G1(commitment), bls.multiply(bls.G1(), (BLS_MODULUS - y) % BLS_MODULUS)) + return bls.pairing_check([ + [P_minus_y, bls.neg(bls.G2())], + [bls.bytes48_to_G1(proof), X_minus_z] + ]) + + +def verify_kzg_proof_batch(commitments: Sequence[KZGCommitment], + zs: Sequence[BLSFieldElement], + ys: Sequence[BLSFieldElement], + proofs: Sequence[KZGProof]) -> bool: + """ + Verify multiple KZG proofs efficiently. + """ + + assert len(commitments) == len(zs) == len(ys) == len(proofs) + + # Compute a random challenge. Note that it does not have to be computed from a hash, + # r just has to be random. + degree_poly = int.to_bytes(FIELD_ELEMENTS_PER_BLOB, 8, KZG_ENDIANNESS) + num_commitments = int.to_bytes(len(commitments), 8, KZG_ENDIANNESS) + data = RANDOM_CHALLENGE_KZG_BATCH_DOMAIN + degree_poly + num_commitments + + # Append all inputs to the transcript before we hash + for commitment, z, y, proof in zip(commitments, zs, ys, proofs): + data += commitment \ + + int.to_bytes(z, BYTES_PER_FIELD_ELEMENT, KZG_ENDIANNESS) \ + + int.to_bytes(y, BYTES_PER_FIELD_ELEMENT, KZG_ENDIANNESS) \ + + proof + + r = hash_to_bls_field(data) + r_powers = compute_powers(r, len(commitments)) + + # Verify: e(sum r^i proof_i, [s]) == + # e(sum r^i (commitment_i - [y_i]) + sum r^i z_i proof_i, [1]) + proof_lincomb = g1_lincomb(proofs, r_powers) + proof_z_lincomb = g1_lincomb( + proofs, + [BLSFieldElement((int(z) * int(r_power)) % BLS_MODULUS) for z, r_power in zip(zs, r_powers)], + ) + C_minus_ys = [bls.add(bls.bytes48_to_G1(commitment), bls.multiply(bls.G1(), (BLS_MODULUS - y) % BLS_MODULUS)) + for commitment, y in zip(commitments, ys)] + C_minus_y_as_KZGCommitments = [KZGCommitment(bls.G1_to_bytes48(x)) for x in C_minus_ys] + C_minus_y_lincomb = g1_lincomb(C_minus_y_as_KZGCommitments, r_powers) + + return bls.pairing_check([ + [bls.bytes48_to_G1(proof_lincomb), bls.neg(bls.bytes96_to_G2(KZG_SETUP_G2_MONOMIAL[1]))], + [bls.add(bls.bytes48_to_G1(C_minus_y_lincomb), bls.bytes48_to_G1(proof_z_lincomb)), bls.G2()] + ]) + + +def compute_kzg_proof(blob: Blob, z_bytes: Bytes32) -> Tuple[KZGProof, Bytes32]: + """ + Compute KZG proof at point `z` for the polynomial represented by `blob`. + Do this by computing the quotient polynomial in evaluation form: q(x) = (p(x) - p(z)) / (x - z). + Public method. + """ + assert len(blob) == BYTES_PER_BLOB + assert len(z_bytes) == BYTES_PER_FIELD_ELEMENT + polynomial = blob_to_polynomial(blob) + proof, y = compute_kzg_proof_impl(polynomial, bytes_to_bls_field(z_bytes)) + return proof, y.to_bytes(BYTES_PER_FIELD_ELEMENT, KZG_ENDIANNESS) + + +def compute_quotient_eval_within_domain(z: BLSFieldElement, + polynomial: Polynomial, + y: BLSFieldElement + ) -> BLSFieldElement: + """ + Given `y == p(z)` for a polynomial `p(x)`, compute `q(z)`: the KZG quotient polynomial evaluated at `z` for the + special case where `z` is in roots of unity. + + For more details, read https://dankradfeist.de/ethereum/2021/06/18/pcs-multiproofs.html section "Dividing + when one of the points is zero". The code below computes q(x_m) for the roots of unity special case. + """ + roots_of_unity_brp = bit_reversal_permutation(compute_roots_of_unity(FIELD_ELEMENTS_PER_BLOB)) + result = 0 + for i, omega_i in enumerate(roots_of_unity_brp): + if omega_i == z: # skip the evaluation point in the sum + continue + + f_i = int(BLS_MODULUS) + int(polynomial[i]) - int(y) % BLS_MODULUS + numerator = f_i * int(omega_i) % BLS_MODULUS + denominator = int(z) * (int(BLS_MODULUS) + int(z) - int(omega_i)) % BLS_MODULUS + result += int(div(BLSFieldElement(numerator), BLSFieldElement(denominator))) + + return BLSFieldElement(result % BLS_MODULUS) + + +def compute_kzg_proof_impl(polynomial: Polynomial, z: BLSFieldElement) -> Tuple[KZGProof, BLSFieldElement]: + """ + Helper function for `compute_kzg_proof()` and `compute_blob_kzg_proof()`. + """ + roots_of_unity_brp = bit_reversal_permutation(compute_roots_of_unity(FIELD_ELEMENTS_PER_BLOB)) + + # For all x_i, compute p(x_i) - p(z) + y = evaluate_polynomial_in_evaluation_form(polynomial, z) + polynomial_shifted = [BLSFieldElement((int(p) - int(y)) % BLS_MODULUS) for p in polynomial] + + # For all x_i, compute (x_i - z) + denominator_poly = [BLSFieldElement((int(x) - int(z)) % BLS_MODULUS) + for x in roots_of_unity_brp] + + # Compute the quotient polynomial directly in evaluation form + quotient_polynomial = [BLSFieldElement(0)] * FIELD_ELEMENTS_PER_BLOB + for i, (a, b) in enumerate(zip(polynomial_shifted, denominator_poly)): + if b == 0: + # The denominator is zero hence `z` is a root of unity: we must handle it as a special case + quotient_polynomial[i] = compute_quotient_eval_within_domain(roots_of_unity_brp[i], polynomial, y) + else: + # Compute: q(x_i) = (p(x_i) - p(z)) / (x_i - z). + quotient_polynomial[i] = div(a, b) + + return KZGProof(g1_lincomb(bit_reversal_permutation(KZG_SETUP_G1_LAGRANGE), quotient_polynomial)), y + + +def compute_blob_kzg_proof(blob: Blob, commitment_bytes: Bytes48) -> KZGProof: + """ + Given a blob, return the KZG proof that is used to verify it against the commitment. + This method does not verify that the commitment is correct with respect to `blob`. + Public method. + """ + assert len(blob) == BYTES_PER_BLOB + assert len(commitment_bytes) == BYTES_PER_COMMITMENT + commitment = bytes_to_kzg_commitment(commitment_bytes) + polynomial = blob_to_polynomial(blob) + evaluation_challenge = compute_challenge(blob, commitment) + proof, _ = compute_kzg_proof_impl(polynomial, evaluation_challenge) + return proof + + +def verify_blob_kzg_proof(blob: Blob, + commitment_bytes: Bytes48, + proof_bytes: Bytes48) -> bool: + """ + Given a blob and a KZG proof, verify that the blob data corresponds to the provided commitment. + + Public method. + """ + assert len(blob) == BYTES_PER_BLOB + assert len(commitment_bytes) == BYTES_PER_COMMITMENT + assert len(proof_bytes) == BYTES_PER_PROOF + + commitment = bytes_to_kzg_commitment(commitment_bytes) + + polynomial = blob_to_polynomial(blob) + evaluation_challenge = compute_challenge(blob, commitment) + + # Evaluate polynomial at `evaluation_challenge` + y = evaluate_polynomial_in_evaluation_form(polynomial, evaluation_challenge) + + # Verify proof + proof = bytes_to_kzg_proof(proof_bytes) + return verify_kzg_proof_impl(commitment, evaluation_challenge, y, proof) + + +def verify_blob_kzg_proof_batch(blobs: Sequence[Blob], + commitments_bytes: Sequence[Bytes48], + proofs_bytes: Sequence[Bytes48]) -> bool: + """ + Given a list of blobs and blob KZG proofs, verify that they correspond to the provided commitments. + Will return True if there are zero blobs/commitments/proofs. + Public method. + """ + + assert len(blobs) == len(commitments_bytes) == len(proofs_bytes) + + commitments, evaluation_challenges, ys, proofs = [], [], [], [] + for blob, commitment_bytes, proof_bytes in zip(blobs, commitments_bytes, proofs_bytes): + assert len(blob) == BYTES_PER_BLOB + assert len(commitment_bytes) == BYTES_PER_COMMITMENT + assert len(proof_bytes) == BYTES_PER_PROOF + commitment = bytes_to_kzg_commitment(commitment_bytes) + commitments.append(commitment) + polynomial = blob_to_polynomial(blob) + evaluation_challenge = compute_challenge(blob, commitment) + evaluation_challenges.append(evaluation_challenge) + ys.append(evaluate_polynomial_in_evaluation_form(polynomial, evaluation_challenge)) + proofs.append(bytes_to_kzg_proof(proof_bytes)) + + return verify_kzg_proof_batch(commitments, evaluation_challenges, ys, proofs) + + +def verify_blob_sidecar_inclusion_proof(blob_sidecar: BlobSidecar) -> bool: + gindex = get_subtree_index(get_generalized_index(BeaconBlockBody, 'blob_kzg_commitments', blob_sidecar.index)) + return is_valid_merkle_branch( + leaf=blob_sidecar.kzg_commitment.hash_tree_root(), + branch=blob_sidecar.kzg_commitment_inclusion_proof, + depth=KZG_COMMITMENT_INCLUSION_PROOF_DEPTH, + index=gindex, + root=blob_sidecar.signed_block_header.message.body_root, + ) + + +def kzg_commitment_to_versioned_hash(kzg_commitment: KZGCommitment) -> VersionedHash: + return VERSIONED_HASH_VERSION_KZG + hash(kzg_commitment)[1:] + + +def get_validator_activation_churn_limit(state: BeaconState) -> uint64: + """ + Return the validator activation churn limit for the current epoch. + """ + return min(config.MAX_PER_EPOCH_ACTIVATION_CHURN_LIMIT, get_validator_churn_limit(state)) + + +def is_data_available(beacon_block_root: Root, blob_kzg_commitments: Sequence[KZGCommitment]) -> bool: + # `retrieve_blobs_and_proofs` is implementation and context dependent + # It returns all the blobs for the given block root, and raises an exception if not available + # Note: the p2p network does not guarantee sidecar retrieval outside of + # `config.MIN_EPOCHS_FOR_BLOB_SIDECARS_REQUESTS` + blobs, proofs = retrieve_blobs_and_proofs(beacon_block_root) + + return verify_blob_kzg_proof_batch(blobs, blob_kzg_commitments, proofs) + + +def get_blob_sidecars(signed_block: SignedBeaconBlock, + blobs: Sequence[Blob], + blob_kzg_proofs: Sequence[KZGProof]) -> Sequence[BlobSidecar]: + block = signed_block.message + block_header = BeaconBlockHeader( + slot=block.slot, + proposer_index=block.proposer_index, + parent_root=block.parent_root, + state_root=block.state_root, + body_root=hash_tree_root(block.body), + ) + signed_block_header = SignedBeaconBlockHeader(message=block_header, signature=signed_block.signature) + return [ + BlobSidecar( + index=index, + blob=blob, + kzg_commitment=block.body.blob_kzg_commitments[index], + kzg_proof=blob_kzg_proofs[index], + signed_block_header=signed_block_header, + kzg_commitment_inclusion_proof=compute_merkle_proof( + block.body, + get_generalized_index(BeaconBlockBody, 'blob_kzg_commitments', index), + ), + ) + for index, blob in enumerate(blobs) + ] + + +def compute_subnet_for_blob_sidecar(blob_index: BlobIndex) -> SubnetID: + return SubnetID(blob_index % config.BLOB_SIDECAR_SUBNET_COUNT) + + +def upgrade_to_deneb(pre: capella.BeaconState) -> BeaconState: + epoch = capella.get_current_epoch(pre) + latest_execution_payload_header = ExecutionPayloadHeader( + parent_hash=pre.latest_execution_payload_header.parent_hash, + fee_recipient=pre.latest_execution_payload_header.fee_recipient, + state_root=pre.latest_execution_payload_header.state_root, + receipts_root=pre.latest_execution_payload_header.receipts_root, + logs_bloom=pre.latest_execution_payload_header.logs_bloom, + prev_randao=pre.latest_execution_payload_header.prev_randao, + block_number=pre.latest_execution_payload_header.block_number, + gas_limit=pre.latest_execution_payload_header.gas_limit, + gas_used=pre.latest_execution_payload_header.gas_used, + timestamp=pre.latest_execution_payload_header.timestamp, + extra_data=pre.latest_execution_payload_header.extra_data, + base_fee_per_gas=pre.latest_execution_payload_header.base_fee_per_gas, + block_hash=pre.latest_execution_payload_header.block_hash, + transactions_root=pre.latest_execution_payload_header.transactions_root, + withdrawals_root=pre.latest_execution_payload_header.withdrawals_root, + blob_gas_used=uint64(0), # [New in Deneb:EIP4844] + excess_blob_gas=uint64(0), # [New in Deneb:EIP4844] + ) + post = BeaconState( + # Versioning + genesis_time=pre.genesis_time, + genesis_validators_root=pre.genesis_validators_root, + slot=pre.slot, + fork=Fork( + previous_version=pre.fork.current_version, + current_version=config.DENEB_FORK_VERSION, # [Modified in Deneb] + epoch=epoch, + ), + # History + latest_block_header=pre.latest_block_header, + block_roots=pre.block_roots, + state_roots=pre.state_roots, + historical_roots=pre.historical_roots, + # Eth1 + eth1_data=pre.eth1_data, + eth1_data_votes=pre.eth1_data_votes, + eth1_deposit_index=pre.eth1_deposit_index, + # Registry + validators=pre.validators, + balances=pre.balances, + # Randomness + randao_mixes=pre.randao_mixes, + # Slashings + slashings=pre.slashings, + # Participation + previous_epoch_participation=pre.previous_epoch_participation, + current_epoch_participation=pre.current_epoch_participation, + # Finality + justification_bits=pre.justification_bits, + previous_justified_checkpoint=pre.previous_justified_checkpoint, + current_justified_checkpoint=pre.current_justified_checkpoint, + finalized_checkpoint=pre.finalized_checkpoint, + # Inactivity + inactivity_scores=pre.inactivity_scores, + # Sync + current_sync_committee=pre.current_sync_committee, + next_sync_committee=pre.next_sync_committee, + # Execution-layer + latest_execution_payload_header=latest_execution_payload_header, # [Modified in Deneb:EIP4844] + # Withdrawals + next_withdrawal_index=pre.next_withdrawal_index, + next_withdrawal_validator_index=pre.next_withdrawal_validator_index, + # Deep history valid from Capella onwards + historical_summaries=pre.historical_summaries, + ) + + return post + + +def upgrade_lc_header_to_deneb(pre: capella.LightClientHeader) -> LightClientHeader: + return LightClientHeader( + beacon=pre.beacon, + execution=ExecutionPayloadHeader( + parent_hash=pre.execution.parent_hash, + fee_recipient=pre.execution.fee_recipient, + state_root=pre.execution.state_root, + receipts_root=pre.execution.receipts_root, + logs_bloom=pre.execution.logs_bloom, + prev_randao=pre.execution.prev_randao, + block_number=pre.execution.block_number, + gas_limit=pre.execution.gas_limit, + gas_used=pre.execution.gas_used, + timestamp=pre.execution.timestamp, + extra_data=pre.execution.extra_data, + base_fee_per_gas=pre.execution.base_fee_per_gas, + block_hash=pre.execution.block_hash, + transactions_root=pre.execution.transactions_root, + withdrawals_root=pre.execution.withdrawals_root, + blob_gas_used=uint64(0), # [New in Deneb:EIP4844] + excess_blob_gas=uint64(0), # [New in Deneb:EIP4844] + ), + execution_branch=pre.execution_branch, + ) + + +def upgrade_lc_bootstrap_to_deneb(pre: capella.LightClientBootstrap) -> LightClientBootstrap: + return LightClientBootstrap( + header=upgrade_lc_header_to_deneb(pre.header), + current_sync_committee=pre.current_sync_committee, + current_sync_committee_branch=pre.current_sync_committee_branch, + ) + + +def upgrade_lc_update_to_deneb(pre: capella.LightClientUpdate) -> LightClientUpdate: + return LightClientUpdate( + attested_header=upgrade_lc_header_to_deneb(pre.attested_header), + next_sync_committee=pre.next_sync_committee, + next_sync_committee_branch=pre.next_sync_committee_branch, + finalized_header=upgrade_lc_header_to_deneb(pre.finalized_header), + finality_branch=pre.finality_branch, + sync_aggregate=pre.sync_aggregate, + signature_slot=pre.signature_slot, + ) + + +def upgrade_lc_finality_update_to_deneb(pre: capella.LightClientFinalityUpdate) -> LightClientFinalityUpdate: + return LightClientFinalityUpdate( + attested_header=upgrade_lc_header_to_deneb(pre.attested_header), + finalized_header=upgrade_lc_header_to_deneb(pre.finalized_header), + finality_branch=pre.finality_branch, + sync_aggregate=pre.sync_aggregate, + signature_slot=pre.signature_slot, + ) + + +def upgrade_lc_optimistic_update_to_deneb(pre: capella.LightClientOptimisticUpdate) -> LightClientOptimisticUpdate: + return LightClientOptimisticUpdate( + attested_header=upgrade_lc_header_to_deneb(pre.attested_header), + sync_aggregate=pre.sync_aggregate, + signature_slot=pre.signature_slot, + ) + + +def upgrade_lc_store_to_deneb(pre: capella.LightClientStore) -> LightClientStore: + if pre.best_valid_update is None: + best_valid_update = None + else: + best_valid_update = upgrade_lc_update_to_deneb(pre.best_valid_update) + return LightClientStore( + finalized_header=upgrade_lc_header_to_deneb(pre.finalized_header), + current_sync_committee=pre.current_sync_committee, + next_sync_committee=pre.next_sync_committee, + best_valid_update=best_valid_update, + optimistic_header=upgrade_lc_header_to_deneb(pre.optimistic_header), + previous_max_active_participants=pre.previous_max_active_participants, + current_max_active_participants=pre.current_max_active_participants, + ) + + +def get_committee_indices(commitee_bits: Bitvector) -> List[CommitteeIndex]: + return [CommitteeIndex(index) for bit, index in enumerate(commitee_bits) if bit] + + +def get_eth1_data(block: Eth1Block) -> Eth1Data: + """ + A stub function return mocking Eth1Data. + """ + return Eth1Data( + deposit_root=block.deposit_root, + deposit_count=block.deposit_count, + block_hash=hash_tree_root(block)) + + +def cache_this(key_fn, value_fn, lru_size): # type: ignore + cache_dict = LRU(size=lru_size) + + def wrapper(*args, **kw): # type: ignore + key = key_fn(*args, **kw) + nonlocal cache_dict + if key not in cache_dict: + cache_dict[key] = value_fn(*args, **kw) + return cache_dict[key] + return wrapper + + +_compute_shuffled_index = compute_shuffled_index +compute_shuffled_index = cache_this( + lambda index, index_count, seed: (index, index_count, seed), + _compute_shuffled_index, lru_size=SLOTS_PER_EPOCH * 3) + +_get_total_active_balance = get_total_active_balance +get_total_active_balance = cache_this( + lambda state: (state.validators.hash_tree_root(), compute_epoch_at_slot(state.slot)), + _get_total_active_balance, lru_size=10) + +_get_base_reward = get_base_reward +get_base_reward = cache_this( + lambda state, index: (state.validators.hash_tree_root(), state.slot, index), + _get_base_reward, lru_size=2048) + +_get_committee_count_per_slot = get_committee_count_per_slot +get_committee_count_per_slot = cache_this( + lambda state, epoch: (state.validators.hash_tree_root(), epoch), + _get_committee_count_per_slot, lru_size=SLOTS_PER_EPOCH * 3) + +_get_active_validator_indices = get_active_validator_indices +get_active_validator_indices = cache_this( + lambda state, epoch: (state.validators.hash_tree_root(), epoch), + _get_active_validator_indices, lru_size=3) + +_get_beacon_committee = get_beacon_committee +get_beacon_committee = cache_this( + lambda state, slot, index: (state.validators.hash_tree_root(), state.randao_mixes.hash_tree_root(), slot, index), + _get_beacon_committee, lru_size=SLOTS_PER_EPOCH * MAX_COMMITTEES_PER_SLOT * 3) + +_get_matching_target_attestations = get_matching_target_attestations +get_matching_target_attestations = cache_this( + lambda state, epoch: (state.hash_tree_root(), epoch), + _get_matching_target_attestations, lru_size=10) + +_get_matching_head_attestations = get_matching_head_attestations +get_matching_head_attestations = cache_this( + lambda state, epoch: (state.hash_tree_root(), epoch), + _get_matching_head_attestations, lru_size=10) + +_get_attesting_indices = get_attesting_indices +get_attesting_indices = cache_this( + lambda state, attestation: ( + state.randao_mixes.hash_tree_root(), + state.validators.hash_tree_root(), attestation.hash_tree_root() + ), + _get_attesting_indices, lru_size=SLOTS_PER_EPOCH * MAX_COMMITTEES_PER_SLOT * 3) + + +def get_generalized_index(ssz_class: Any, *path: PyUnion[int, SSZVariableName]) -> GeneralizedIndex: + ssz_path = Path(ssz_class) + for item in path: + ssz_path = ssz_path / item + return GeneralizedIndex(ssz_path.gindex()) + + +def compute_merkle_proof(object: SSZObject, + index: GeneralizedIndex) -> Sequence[Bytes32]: + return build_proof(object.get_backing(), index) + + +ExecutionState = Any + + +def get_pow_block(hash: Bytes32) -> Optional[PowBlock]: + return PowBlock(block_hash=hash, parent_hash=Bytes32(), total_difficulty=uint256(0)) + + +def get_execution_state(_execution_state_root: Bytes32) -> ExecutionState: + pass + + +def get_pow_chain_head() -> PowBlock: + pass + + +def validator_is_connected(validator_index: ValidatorIndex) -> bool: + # pylint: disable=unused-argument + return True + + +def retrieve_blobs_and_proofs(beacon_block_root: Root) -> Tuple[Sequence[Blob], Sequence[KZGProof]]: + # pylint: disable=unused-argument + return [], [] + + +class NoopExecutionEngine(ExecutionEngine): + + def notify_new_payload(self: ExecutionEngine, + execution_payload: ExecutionPayload, + parent_beacon_block_root: Root) -> bool: + return True + + def notify_forkchoice_updated(self: ExecutionEngine, + head_block_hash: Hash32, + safe_block_hash: Hash32, + finalized_block_hash: Hash32, + payload_attributes: Optional[PayloadAttributes]) -> Optional[PayloadId]: + pass + + def get_payload(self: ExecutionEngine, payload_id: PayloadId) -> GetPayloadResponse: + # pylint: disable=unused-argument + raise NotImplementedError("no default block production") + + def is_valid_block_hash(self: ExecutionEngine, + execution_payload: ExecutionPayload, + parent_beacon_block_root: Root) -> bool: + return True + + def is_valid_versioned_hashes(self: ExecutionEngine, new_payload_request: NewPayloadRequest) -> bool: + return True + + def verify_and_notify_new_payload(self: ExecutionEngine, + new_payload_request: NewPayloadRequest) -> bool: + return True + + +EXECUTION_ENGINE = NoopExecutionEngine() + + +assert FINALIZED_ROOT_GINDEX == get_generalized_index(BeaconState, 'finalized_checkpoint', 'root') +assert CURRENT_SYNC_COMMITTEE_GINDEX == get_generalized_index(BeaconState, 'current_sync_committee') +assert NEXT_SYNC_COMMITTEE_GINDEX == get_generalized_index(BeaconState, 'next_sync_committee') +assert EXECUTION_PAYLOAD_GINDEX == get_generalized_index(BeaconBlockBody, 'execution_payload') + + +assert KZG_COMMITMENT_INCLUSION_PROOF_DEPTH == uint64(floorlog2(get_generalized_index(BeaconBlockBody, 'blob_kzg_commitments')) + 1 + ceillog2(MAX_BLOB_COMMITMENTS_PER_BLOCK)) # noqa: E501