// Package helpers contains helper functions outlined in ETH2.0 spec: // https://github.com/ethereum/eth2.0-specs/blob/master/specs/core/0_beacon-chain.md#helper-functions package helpers import ( "encoding/binary" "errors" "fmt" "github.com/prysmaticlabs/prysm/beacon-chain/utils" pb "github.com/prysmaticlabs/prysm/proto/beacon/p2p/v1" "github.com/prysmaticlabs/prysm/shared/bitutil" "github.com/prysmaticlabs/prysm/shared/bytesutil" "github.com/prysmaticlabs/prysm/shared/mathutil" "github.com/prysmaticlabs/prysm/shared/params" ) // CrosslinkCommittee defines the validator committee of slot and shard combinations. type CrosslinkCommittee struct { Committee []uint64 Shard uint64 } // EpochCommitteeCount returns the number of crosslink committees of an epoch. // // Spec pseudocode definition: // def get_epoch_committee_count(active_validator_count: int) -> int: // """ // Return the number of committees in one epoch. // """ // return max( // 1, // min( // SHARD_COUNT // EPOCH_LENGTH, // active_validator_count // EPOCH_LENGTH // TARGET_COMMITTEE_SIZE, // ) // ) * EPOCH_LENGTH func EpochCommitteeCount(activeValidatorCount uint64) uint64 { var minCommitteePerSlot = uint64(1) var maxCommitteePerSlot = params.BeaconConfig().ShardCount / params.BeaconConfig().EpochLength var currCommitteePerSlot = activeValidatorCount / params.BeaconConfig().EpochLength / params.BeaconConfig().TargetCommitteeSize if currCommitteePerSlot > maxCommitteePerSlot { return maxCommitteePerSlot * params.BeaconConfig().EpochLength } if currCommitteePerSlot < 1 { return minCommitteePerSlot * params.BeaconConfig().EpochLength } return currCommitteePerSlot * params.BeaconConfig().EpochLength } // CurrentEpochCommitteeCount returns the number of crosslink committees per epoch // of the current epoch. // Ex: Returns 100 means there's 8 committees assigned to current epoch. // // Spec pseudocode definition: // def get_current_epoch_committee_count(state: BeaconState) -> int: // """ // Return the number of committees in the current epoch of the given ``state``. // """ // current_active_validators = get_active_validator_indices( // state.validator_registry, // state.current_calculation_epoch, // ) // return get_epoch_committee_count(len(current_active_validators) func CurrentEpochCommitteeCount(state *pb.BeaconState) uint64 { currActiveValidatorIndices := ActiveValidatorIndices( state.ValidatorRegistry, state.CurrentCalculationEpoch) return EpochCommitteeCount(uint64(len(currActiveValidatorIndices))) } // PrevEpochCommitteeCount returns the number of committees per slot // of the previous epoch. // // Spec pseudocode definition: // def get_previous_epoch_committee_count(state: BeaconState) -> int: // """ // Return the number of committees in the previous epoch of the given ``state``. // """ // previous_active_validators = get_active_validator_indices( // state.validator_registry, // state.previous_calculation_epoch, // ) // return get_epoch_committee_count(len(previous_active_validators)) func PrevEpochCommitteeCount(state *pb.BeaconState) uint64 { prevActiveValidatorIndices := ActiveValidatorIndices( state.ValidatorRegistry, state.PreviousCalculationEpoch) return EpochCommitteeCount(uint64(len(prevActiveValidatorIndices))) } // NextEpochCommitteeCount returns the number of committees per slot // of the next epoch. // // Spec pseudocode definition: // def get_next_epoch_committee_count(state: BeaconState) -> int: // """ // Return the number of committees in the next epoch of the given ``state``. // """ // next_active_validators = get_active_validator_indices( // state.validator_registry, // get_current_epoch(state) + 1, // ) // return get_epoch_committee_count(len(next_active_validators)) func NextEpochCommitteeCount(state *pb.BeaconState) uint64 { prevActiveValidatorIndices := ActiveValidatorIndices( state.ValidatorRegistry, CurrentEpoch(state)+1) return EpochCommitteeCount(uint64(len(prevActiveValidatorIndices))) } // CrosslinkCommitteesAtSlot returns the list of crosslink committees, it // contains the shard associated with the committee and the validator indices // in that committee. // def get_crosslink_committees_at_slot(state: BeaconState, // slot: SlotNumber, // registry_change=False: bool) -> List[Tuple[List[ValidatorIndex], ShardNumber]]: // """ // Return the list of ``(committee, shard)`` tuples for the ``slot``. // // Note: There are two possible shufflings for crosslink committees for a // ``slot`` in the next epoch -- with and without a `registry_change` // """ // epoch = slot_to_epoch(slot) // current_epoch = get_current_epoch(state) // previous_epoch = current_epoch - 1 if current_epoch > GENESIS_EPOCH else current_epoch // next_epoch = current_epoch + 1 // // assert previous_epoch <= epoch <= next_epoch // // if epoch == previous_epoch: // committees_per_epoch = get_previous_epoch_committee_count(state) // seed = state.previous_epoch_seed // shuffling_epoch = state.previous_calculation_epoch // shuffling_start_shard = state.previous_epoch_start_shard // elif epoch == current_epoch: // committees_per_epoch = get_current_epoch_committee_count(state) // seed = state.current_epoch_seed // shuffling_epoch = state.current_calculation_epoch // shuffling_start_shard = state.current_epoch_start_shard // elif epoch == next_epoch: // current_committees_per_epoch = get_current_epoch_committee_count(state) // committees_per_epoch = get_next_epoch_committee_count(state) // shuffling_epoch = next_epoch // // epochs_since_last_registry_update = current_epoch - state.validator_registry_update_epoch // if registry_change: // seed = generate_seed(state, next_epoch) // shuffling_start_shard = (state.current_epoch_start_shard + current_committees_per_epoch) % SHARD_COUNT // elif epochs_since_last_registry_update > 1 and is_power_of_two(epochs_since_last_registry_update): // seed = generate_seed(state, next_epoch) // shuffling_start_shard = state.current_epoch_start_shard // else: // seed = state.current_epoch_seed // shuffling_start_shard = state.current_epoch_start_shard // // shuffling = get_shuffling( // seed, // state.validator_registry, // shuffling_epoch, // ) // offset = slot % EPOCH_LENGTH // committees_per_slot = committees_per_epoch // EPOCH_LENGTH // slot_start_shard = (shuffling_start_shard + committees_per_slot * offset) % SHARD_COUNT // // return [ // ( // shuffling[committees_per_slot * offset + i], // (slot_start_shard + i) % SHARD_COUNT, // ) // for i in range(committees_per_slot) // ] func CrosslinkCommitteesAtSlot( state *pb.BeaconState, slot uint64, registryChange bool) ([]*CrosslinkCommittee, error) { var committeesPerEpoch uint64 var shufflingEpoch uint64 var shufflingStartShard uint64 var seed [32]byte var err error wantedEpoch := SlotToEpoch(slot) currentEpoch := CurrentEpoch(state) prevEpoch := PrevEpoch(state) nextEpoch := NextEpoch(state) if wantedEpoch < prevEpoch || wantedEpoch > nextEpoch { return nil, fmt.Errorf( "input committee epoch %d out of bounds: %d <= epoch <= %d", wantedEpoch, prevEpoch, currentEpoch, ) } if wantedEpoch == prevEpoch { committeesPerEpoch = PrevEpochCommitteeCount(state) seed = bytesutil.ToBytes32(state.PreviousEpochSeedHash32) shufflingEpoch = state.PreviousCalculationEpoch shufflingStartShard = state.PreviousEpochStartShard } else if wantedEpoch == currentEpoch { committeesPerEpoch = PrevEpochCommitteeCount(state) seed = bytesutil.ToBytes32(state.CurrentEpochSeedHash32) shufflingEpoch = state.CurrentCalculationEpoch shufflingStartShard = state.CurrentEpochStartShard } else if wantedEpoch == nextEpoch { currentCommitteesPerEpoch := CurrentEpochCommitteeCount(state) committeesPerEpoch = NextEpochCommitteeCount(state) shufflingEpoch = nextEpoch epochsSinceLastRegistryUpdate := currentEpoch - state.ValidatorRegistryUpdateEpoch if registryChange { seed, err = GenerateSeed(state, nextEpoch) if err != nil { return nil, fmt.Errorf("could not generate seed: %v", err) } shufflingStartShard = (state.CurrentEpochStartShard + currentCommitteesPerEpoch) % params.BeaconConfig().ShardCount } else if epochsSinceLastRegistryUpdate > 1 && mathutil.IsPowerOf2(epochsSinceLastRegistryUpdate) { seed, err = GenerateSeed(state, nextEpoch) if err != nil { return nil, fmt.Errorf("could not generate seed: %v", err) } shufflingStartShard = state.CurrentEpochStartShard } else { seed = bytesutil.ToBytes32(state.CurrentEpochSeedHash32) shufflingStartShard = state.CurrentEpochStartShard } } shuffledIndices, err := Shuffling( seed, state.ValidatorRegistry, shufflingEpoch) if err != nil { return nil, fmt.Errorf("could not shuffle epoch validators: %v", err) } offSet := slot % params.BeaconConfig().EpochLength committeesPerSlot := committeesPerEpoch / params.BeaconConfig().EpochLength slotStardShard := (shufflingStartShard + committeesPerSlot*offSet) % params.BeaconConfig().ShardCount var crosslinkCommittees []*CrosslinkCommittee for i := uint64(0); i < committeesPerSlot; i++ { crosslinkCommittees = append(crosslinkCommittees, &CrosslinkCommittee{ Committee: shuffledIndices[committeesPerSlot*offSet+i], Shard: (slotStardShard + i) % params.BeaconConfig().ShardCount, }) } return crosslinkCommittees, nil } // Shuffling shuffles input validator indices and splits them by slot and shard. // // Spec pseudocode definition: // def get_shuffling(seed: Bytes32, // validators: List[Validator], // epoch: EpochNumber) -> List[List[ValidatorIndex]] // """ // Shuffle ``validators`` into crosslink committees seeded by ``seed`` and ``epoch``. // Return a list of ``committees_per_epoch`` committees where each // committee is itself a list of validator indices. // """ // // active_validator_indices = get_active_validator_indices(validators, epoch) // // committees_per_epoch = get_epoch_committee_count(len(active_validator_indices)) // // # Shuffle // seed = xor(seed, int_to_bytes32(epoch)) // shuffled_active_validator_indices = shuffle(active_validator_indices, seed) // // # Split the shuffled list into committees_per_epoch pieces // return split(shuffled_active_validator_indices, committees_per_epoch) func Shuffling( seed [32]byte, validators []*pb.Validator, slot uint64) ([][]uint64, error) { // Normalize slot to start of epoch boundary. slot -= slot % params.BeaconConfig().EpochLength // Figure out how many committees can be in a single slot. activeIndices := ActiveValidatorIndices(validators, slot) activeCount := uint64(len(activeIndices)) committeesPerEpoch := EpochCommitteeCount(activeCount) // Convert slot to bytes and xor it with seed. slotInBytes := make([]byte, 32) binary.LittleEndian.PutUint64(slotInBytes, slot) seed = bytesutil.ToBytes32(bytesutil.Xor(seed[:], slotInBytes)) shuffledIndices, err := utils.ShuffleIndices(seed, activeIndices) if err != nil { return nil, err } // Split the shuffled list into epoch_length * committees_per_slot pieces. return utils.SplitIndices(shuffledIndices, committeesPerEpoch), nil } // AttestationParticipants returns the attesting participants indices. // // Spec pseudocode definition: // def get_attestation_participants(state: BeaconState, // attestation_data: AttestationData, // bitfield: bytes) -> List[ValidatorIndex]: // """ // Returns the participant indices at for the ``attestation_data`` and ``bitfield``. // """ // # Find the committee in the list with the desired shard // crosslink_committees = get_crosslink_committees_at_slot(state, attestation_data.slot) // // assert attestation_data.shard in [shard for _, shard in crosslink_committees] // crosslink_committee = [committee for committee, // shard in crosslink_committees if shard == attestation_data.shard][0] // // assert verify_bitfield(bitfield, len(crosslink_committee)) // // # Find the participating attesters in the committee // participants = [] // for i, validator_index in enumerate(crosslink_committee): // aggregation_bit = get_bitfield_bit(bitfield, i) // if aggregation_bit == 0b1: // participants.append(validator_index) // return participants func AttestationParticipants( state *pb.BeaconState, attestationData *pb.AttestationData, bitfield []byte) ([]uint64, error) { // Find the relevant committee. crosslinkCommittees, err := CrosslinkCommitteesAtSlot(state, attestationData.Slot, false) if err != nil { return nil, err } var committee []uint64 for _, crosslinkCommittee := range crosslinkCommittees { if crosslinkCommittee.Shard == attestationData.Shard { committee = crosslinkCommittee.Committee break } } if isValidated, err := VerifyBitfield(bitfield, len(committee)); !isValidated || err != nil { if err != nil { return nil, err } return nil, errors.New("bitfield is unable to be verified") } // Find the participating validators in the committee. var participants []uint64 for i, validatorIndex := range committee { bitSet, err := bitutil.CheckBit(bitfield, i) if err != nil { return nil, fmt.Errorf("could not get participant bitfield: %v", err) } if bitSet { participants = append(participants, validatorIndex) } } return participants, nil } // VerifyBitfield validates a bitfield with a given committee size. // // Spec pseudocode: // // def verify_bitfield(bitfield: bytes, committee_size: int) -> bool: // """ // Verify ``bitfield`` against the ``committee_size``. // """ // if len(bitfield) != (committee_size + 7) // 8: // return False // // # Check `bitfield` is padded with zero bits only // for i in range(committee_size, len(bitfield) * 8): // if get_bitfield_bit(bitfield, i) == 0b1: // return False // // return True func VerifyBitfield(bitfield []byte, committeeSize int) (bool, error) { if len(bitfield) != mathutil.CeilDiv8(committeeSize) { return false, fmt.Errorf( "wanted participants bitfield length %d, got: %d", mathutil.CeilDiv8(committeeSize), len(bitfield)) } for i := committeeSize; i < len(bitfield)*8; i++ { bitSet, err := bitutil.CheckBit(bitfield, i) if err != nil { return false, fmt.Errorf("unable to check bit in bitfield %v", err) } if bitSet { return false, nil } } return true, nil } // NextEpochCommitteeAssignment query slots in the next epoch // for it to discover which shard and slot a validator gets assigned. // // Spec pseudocode definition: // def get_next_epoch_committee_assignment( // state: BeaconState, // validator_index: ValidatorIndex, // registry_change: bool) -> Tuple[List[ValidatorIndex], ShardNumber, SlotNumber, bool]: // """ // Return the committee assignment in the next epoch for ``validator_index`` and ``registry_change``. // ``assignment`` returned is a tuple of the following form: // * ``assignment[0]`` is the list of validators in the committee // * ``assignment[1]`` is the shard to which the committee is assigned // * ``assignment[2]`` is the slot at which the committee is assigned // * ``assignment[3]`` is a bool signalling if the validator is expected to propose // a beacon block at the assigned slot. // """ // current_epoch = get_current_epoch(state) // next_epoch = current_epoch + 1 // next_epoch_start_slot = get_epoch_start_slot(next_epoch) // for slot in range(next_epoch_start_slot, next_epoch_start_slot + EPOCH_LENGTH): // crosslink_committees = get_crosslink_committees_at_slot( // state, // slot, // registry_change=registry_change, // ) // selected_committees = [ // committee # Tuple[List[ValidatorIndex], ShardNumber] // for committee in crosslink_committees // if validator_index in committee[0] // ] // if len(selected_committees) > 0: // validators = selected_committees[0][0] // shard = selected_committees[0][1] // first_committee_at_slot = crosslink_committees[0][0] # List[ValidatorIndex] // is_proposer = first_committee_at_slot[slot % len(first_committee_at_slot)] == validator_index // // assignment = (validators, shard, slot, is_proposer) // return assignment func NextEpochCommitteeAssignment( state *pb.BeaconState, index uint64, registryChange bool) ([]uint64, uint64, uint64, bool, error) { var selectedCommittees []*CrosslinkCommittee nextEpoch := NextEpoch(state) nextEpochStartSlot := StartSlot(nextEpoch) for slot := nextEpochStartSlot; slot < nextEpochStartSlot+params.BeaconConfig().EpochLength; slot++ { crosslinkCommittees, err := CrosslinkCommitteesAtSlot( state, slot, registryChange) if err != nil { return []uint64{}, 0, 0, false, fmt.Errorf("could not get crosslink committee: %v", err) } for _, committee := range crosslinkCommittees { for _, idx := range committee.Committee { if idx == index { selectedCommittees = append(selectedCommittees, committee) } if len(selectedCommittees) > 0 { validators := selectedCommittees[0].Committee shard := selectedCommittees[0].Shard firstCommitteeAtSlot := crosslinkCommittees[0].Committee isProposer := firstCommitteeAtSlot[slot% uint64(len(firstCommitteeAtSlot))] == index return validators, shard, slot, isProposer, nil } } } } return []uint64{}, 0, 0, false, fmt.Errorf("could not get assignment validator %d", index) }