730 lines
28 KiB
Rust
730 lines
28 KiB
Rust
use integer_sqrt::IntegerSquareRoot;
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use log::{debug, trace};
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use rayon::prelude::*;
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use ssz::TreeHash;
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use std::collections::{HashMap, HashSet};
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use std::iter::FromIterator;
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use types::{
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beacon_state::{AttestationParticipantsError, BeaconStateError, InclusionError},
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validator_registry::get_active_validator_indices,
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BeaconState, ChainSpec, Crosslink, Epoch, Hash256, PendingAttestation,
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};
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macro_rules! safe_add_assign {
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($a: expr, $b: expr) => {
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$a = $a.saturating_add($b);
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};
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}
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macro_rules! safe_sub_assign {
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($a: expr, $b: expr) => {
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$a = $a.saturating_sub($b);
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};
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}
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#[derive(Debug, PartialEq)]
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pub enum Error {
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UnableToDetermineProducer,
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NoBlockRoots,
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BaseRewardQuotientIsZero,
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NoRandaoSeed,
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BeaconStateError(BeaconStateError),
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AttestationParticipantsError(AttestationParticipantsError),
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InclusionError(InclusionError),
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WinningRootError(WinningRootError),
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}
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#[derive(Debug, PartialEq)]
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pub enum WinningRootError {
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NoWinningRoot,
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AttestationParticipantsError(AttestationParticipantsError),
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}
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#[derive(Clone)]
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pub struct WinningRoot {
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pub shard_block_root: Hash256,
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pub attesting_validator_indices: Vec<usize>,
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pub total_balance: u64,
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pub total_attesting_balance: u64,
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}
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pub trait EpochProcessable {
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fn per_epoch_processing(&mut self, spec: &ChainSpec) -> Result<(), Error>;
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}
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impl EpochProcessable for BeaconState {
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// Cyclomatic complexity is ignored. It would be ideal to split this function apart, however it
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// remains monolithic to allow for easier spec updates. Once the spec is more stable we can
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// optimise.
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#[allow(clippy::cyclomatic_complexity)]
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fn per_epoch_processing(&mut self, spec: &ChainSpec) -> Result<(), Error> {
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let current_epoch = self.current_epoch(spec);
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let previous_epoch = self.previous_epoch(spec);
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let next_epoch = self.next_epoch(spec);
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debug!(
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"Starting per-epoch processing on epoch {}...",
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self.current_epoch(spec)
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);
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/*
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* Validators attesting during the current epoch.
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*/
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let active_validator_indices = get_active_validator_indices(
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&self.validator_registry,
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self.slot.epoch(spec.epoch_length),
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);
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let current_total_balance = self.get_total_balance(&active_validator_indices[..], spec);
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trace!(
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"{} validators with a total balance of {} wei.",
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active_validator_indices.len(),
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current_total_balance
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);
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let current_epoch_attestations: Vec<&PendingAttestation> = self
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.latest_attestations
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.par_iter()
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.filter(|a| {
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(a.data.slot / spec.epoch_length).epoch(spec.epoch_length)
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== self.current_epoch(spec)
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})
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.collect();
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trace!(
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"Current epoch attestations: {}",
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current_epoch_attestations.len()
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);
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let current_epoch_boundary_attestations: Vec<&PendingAttestation> =
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current_epoch_attestations
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.par_iter()
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.filter(
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|a| match self.get_block_root(self.current_epoch_start_slot(spec), spec) {
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Some(block_root) => {
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(a.data.epoch_boundary_root == *block_root)
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&& (a.data.justified_epoch == self.justified_epoch)
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}
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None => unreachable!(),
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},
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)
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.cloned()
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.collect();
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let current_epoch_boundary_attester_indices = self
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.get_attestation_participants_union(¤t_epoch_boundary_attestations[..], spec)?;
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let current_epoch_boundary_attesting_balance =
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self.get_total_balance(¤t_epoch_boundary_attester_indices[..], spec);
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trace!(
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"Current epoch boundary attesters: {}",
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current_epoch_boundary_attester_indices.len()
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);
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/*
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* Validators attesting during the previous epoch
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*/
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/*
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* Validators that made an attestation during the previous epoch
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*/
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let previous_epoch_attestations: Vec<&PendingAttestation> = self
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.latest_attestations
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.par_iter()
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.filter(|a| {
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//TODO: ensure these saturating subs are correct.
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(a.data.slot / spec.epoch_length).epoch(spec.epoch_length)
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== self.previous_epoch(spec)
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})
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.collect();
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debug!(
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"previous epoch attestations: {}",
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previous_epoch_attestations.len()
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);
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let previous_epoch_attester_indices =
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self.get_attestation_participants_union(&previous_epoch_attestations[..], spec)?;
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let previous_total_balance = self.get_total_balance(
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&get_active_validator_indices(&self.validator_registry, previous_epoch),
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spec,
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);
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/*
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* Validators targetting the previous justified slot
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*/
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let previous_epoch_justified_attestations: Vec<&PendingAttestation> = {
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let mut a: Vec<&PendingAttestation> = current_epoch_attestations
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.iter()
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.filter(|a| a.data.justified_epoch == self.previous_justified_epoch)
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.cloned()
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.collect();
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let mut b: Vec<&PendingAttestation> = previous_epoch_attestations
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.iter()
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.filter(|a| a.data.justified_epoch == self.previous_justified_epoch)
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.cloned()
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.collect();
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a.append(&mut b);
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a
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};
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let previous_epoch_justified_attester_indices = self
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.get_attestation_participants_union(&previous_epoch_justified_attestations[..], spec)?;
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let previous_epoch_justified_attesting_balance =
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self.get_total_balance(&previous_epoch_justified_attester_indices[..], spec);
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/*
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* Validators justifying the epoch boundary block at the start of the previous epoch
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*/
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let previous_epoch_boundary_attestations: Vec<&PendingAttestation> =
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previous_epoch_justified_attestations
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.iter()
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.filter(
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|a| match self.get_block_root(self.previous_epoch_start_slot(spec), spec) {
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Some(block_root) => a.data.epoch_boundary_root == *block_root,
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None => unreachable!(),
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},
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)
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.cloned()
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.collect();
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let previous_epoch_boundary_attester_indices = self
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.get_attestation_participants_union(&previous_epoch_boundary_attestations[..], spec)?;
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let previous_epoch_boundary_attesting_balance =
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self.get_total_balance(&previous_epoch_boundary_attester_indices[..], spec);
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/*
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* Validators attesting to the expected beacon chain head during the previous epoch.
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*/
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let previous_epoch_head_attestations: Vec<&PendingAttestation> =
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previous_epoch_attestations
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.iter()
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.filter(|a| match self.get_block_root(a.data.slot, spec) {
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Some(block_root) => a.data.beacon_block_root == *block_root,
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None => unreachable!(),
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})
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.cloned()
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.collect();
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let previous_epoch_head_attester_indices =
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self.get_attestation_participants_union(&previous_epoch_head_attestations[..], spec)?;
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let previous_epoch_head_attesting_balance =
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self.get_total_balance(&previous_epoch_head_attester_indices[..], spec);
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debug!(
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"previous_epoch_head_attester_balance of {} wei.",
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previous_epoch_head_attesting_balance
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);
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/*
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* Eth1 Data
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*/
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if self.next_epoch(spec) % spec.eth1_data_voting_period == 0 {
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for eth1_data_vote in &self.eth1_data_votes {
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if eth1_data_vote.vote_count * 2 > spec.eth1_data_voting_period {
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self.latest_eth1_data = eth1_data_vote.eth1_data.clone();
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}
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}
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self.eth1_data_votes = vec![];
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}
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/*
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* Justification
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*/
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let mut new_justified_epoch = self.justified_epoch;
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self.justification_bitfield <<= 1;
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// If > 2/3 of the total balance attested to the previous epoch boundary
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//
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// - Set the 2nd bit of the bitfield.
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// - Set the previous epoch to be justified.
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if (3 * previous_epoch_boundary_attesting_balance) >= (2 * current_total_balance) {
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self.justification_bitfield |= 2;
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new_justified_epoch = previous_epoch;
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trace!(">= 2/3 voted for previous epoch boundary");
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}
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// If > 2/3 of the total balance attested to the previous epoch boundary
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//
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// - Set the 1st bit of the bitfield.
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// - Set the current epoch to be justified.
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if (3 * current_epoch_boundary_attesting_balance) >= (2 * current_total_balance) {
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self.justification_bitfield |= 1;
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new_justified_epoch = current_epoch;
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trace!(">= 2/3 voted for current epoch boundary");
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}
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// If:
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//
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// - All three epochs prior to this epoch have been justified.
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// - The previous justified justified epoch was three epochs ago.
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//
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// Then, set the finalized epoch to be three epochs ago.
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if ((self.justification_bitfield >> 1) % 8 == 0b111)
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& (self.previous_justified_epoch == previous_epoch - 2)
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{
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self.finalized_epoch = self.previous_justified_epoch;
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trace!("epoch - 3 was finalized (1st condition).");
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}
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// If:
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//
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// - Both two epochs prior to this epoch have been justified.
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// - The previous justified epoch was two epochs ago.
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//
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// Then, set the finalized epoch to two epochs ago.
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if ((self.justification_bitfield >> 1) % 4 == 0b11)
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& (self.previous_justified_epoch == previous_epoch - 1)
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{
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self.finalized_epoch = self.previous_justified_epoch;
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trace!("epoch - 2 was finalized (2nd condition).");
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}
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// If:
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//
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// - This epoch and the two prior have been justified.
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// - The presently justified epoch was two epochs ago.
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//
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// Then, set the finalized epoch to two epochs ago.
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if (self.justification_bitfield % 8 == 0b111) & (self.justified_epoch == previous_epoch - 1)
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{
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self.finalized_epoch = self.justified_epoch;
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trace!("epoch - 2 was finalized (3rd condition).");
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}
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// If:
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//
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// - This epoch and the epoch prior to it have been justified.
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// - Set the previous epoch to be justified.
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//
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// Then, set the finalized epoch to be the previous epoch.
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if (self.justification_bitfield % 4 == 0b11) & (self.justified_epoch == previous_epoch) {
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self.finalized_epoch = self.justified_epoch;
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trace!("epoch - 1 was finalized (4th condition).");
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}
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self.previous_justified_epoch = self.justified_epoch;
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self.justified_epoch = new_justified_epoch;
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debug!(
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"Finalized epoch {}, justified epoch {}.",
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self.finalized_epoch, self.justified_epoch
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);
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/*
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* Crosslinks
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*/
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// Cached for later lookups.
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let mut winning_root_for_shards: HashMap<u64, Result<WinningRoot, WinningRootError>> =
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HashMap::new();
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// for slot in self.slot.saturating_sub(2 * spec.epoch_length)..self.slot {
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for slot in self.previous_epoch(spec).slot_iter(spec.epoch_length) {
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trace!(
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"Finding winning root for slot: {} (epoch: {})",
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slot,
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slot.epoch(spec.epoch_length)
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);
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let crosslink_committees_at_slot =
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self.get_crosslink_committees_at_slot(slot, false, spec)?;
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for (crosslink_committee, shard) in crosslink_committees_at_slot {
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let shard = shard as u64;
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let winning_root = winning_root(
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self,
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shard,
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¤t_epoch_attestations,
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&previous_epoch_attestations,
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spec,
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);
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if let Ok(winning_root) = &winning_root {
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let total_committee_balance =
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self.get_total_balance(&crosslink_committee[..], spec);
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if (3 * winning_root.total_attesting_balance) >= (2 * total_committee_balance) {
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self.latest_crosslinks[shard as usize] = Crosslink {
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epoch: current_epoch,
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shard_block_root: winning_root.shard_block_root,
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}
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}
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}
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winning_root_for_shards.insert(shard, winning_root);
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}
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}
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trace!(
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"Found {} winning shard roots.",
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winning_root_for_shards.len()
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);
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/*
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* Rewards and Penalities
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*/
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let base_reward_quotient =
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previous_total_balance.integer_sqrt() / spec.base_reward_quotient;
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if base_reward_quotient == 0 {
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return Err(Error::BaseRewardQuotientIsZero);
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}
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/*
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* Justification and finalization
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*/
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let epochs_since_finality = next_epoch - self.finalized_epoch;
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let previous_epoch_justified_attester_indices_hashset: HashSet<usize> =
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HashSet::from_iter(previous_epoch_justified_attester_indices.iter().cloned());
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let previous_epoch_boundary_attester_indices_hashset: HashSet<usize> =
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HashSet::from_iter(previous_epoch_boundary_attester_indices.iter().cloned());
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let previous_epoch_head_attester_indices_hashset: HashSet<usize> =
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HashSet::from_iter(previous_epoch_head_attester_indices.iter().cloned());
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let previous_epoch_attester_indices_hashset: HashSet<usize> =
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HashSet::from_iter(previous_epoch_attester_indices.iter().cloned());
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let active_validator_indices_hashset: HashSet<usize> =
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HashSet::from_iter(active_validator_indices.iter().cloned());
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debug!("previous epoch justified attesters: {}, previous epoch boundary attesters: {}, previous epoch head attesters: {}, previous epoch attesters: {}", previous_epoch_justified_attester_indices.len(), previous_epoch_boundary_attester_indices.len(), previous_epoch_head_attester_indices.len(), previous_epoch_attester_indices.len());
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debug!("{} epochs since finality.", epochs_since_finality);
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if epochs_since_finality <= 4 {
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for index in 0..self.validator_balances.len() {
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let base_reward = self.base_reward(index, base_reward_quotient, spec);
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if previous_epoch_justified_attester_indices_hashset.contains(&index) {
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safe_add_assign!(
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self.validator_balances[index],
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base_reward * previous_epoch_justified_attesting_balance
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/ previous_total_balance
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);
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} else if active_validator_indices_hashset.contains(&index) {
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safe_sub_assign!(self.validator_balances[index], base_reward);
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}
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if previous_epoch_boundary_attester_indices_hashset.contains(&index) {
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safe_add_assign!(
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self.validator_balances[index],
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base_reward * previous_epoch_boundary_attesting_balance
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/ previous_total_balance
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);
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} else if active_validator_indices_hashset.contains(&index) {
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safe_sub_assign!(self.validator_balances[index], base_reward);
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}
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if previous_epoch_head_attester_indices_hashset.contains(&index) {
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safe_add_assign!(
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self.validator_balances[index],
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base_reward * previous_epoch_head_attesting_balance
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/ previous_total_balance
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);
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} else if active_validator_indices_hashset.contains(&index) {
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safe_sub_assign!(self.validator_balances[index], base_reward);
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}
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}
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for index in previous_epoch_attester_indices {
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let base_reward = self.base_reward(index, base_reward_quotient, spec);
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let inclusion_distance =
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self.inclusion_distance(&previous_epoch_attestations, index, spec)?;
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safe_add_assign!(
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self.validator_balances[index],
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base_reward * spec.min_attestation_inclusion_delay / inclusion_distance
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)
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}
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} else {
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for index in 0..self.validator_balances.len() {
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let inactivity_penalty = self.inactivity_penalty(
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index,
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epochs_since_finality,
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base_reward_quotient,
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spec,
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);
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if active_validator_indices_hashset.contains(&index) {
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if !previous_epoch_justified_attester_indices_hashset.contains(&index) {
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safe_sub_assign!(self.validator_balances[index], inactivity_penalty);
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}
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if !previous_epoch_boundary_attester_indices_hashset.contains(&index) {
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safe_sub_assign!(self.validator_balances[index], inactivity_penalty);
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}
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if !previous_epoch_head_attester_indices_hashset.contains(&index) {
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safe_sub_assign!(self.validator_balances[index], inactivity_penalty);
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}
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if self.validator_registry[index].penalized_epoch <= current_epoch {
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let base_reward = self.base_reward(index, base_reward_quotient, spec);
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safe_sub_assign!(
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self.validator_balances[index],
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2 * inactivity_penalty + base_reward
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);
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}
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}
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}
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for index in previous_epoch_attester_indices {
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let base_reward = self.base_reward(index, base_reward_quotient, spec);
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let inclusion_distance =
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self.inclusion_distance(&previous_epoch_attestations, index, spec)?;
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safe_sub_assign!(
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self.validator_balances[index],
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base_reward
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- base_reward * spec.min_attestation_inclusion_delay / inclusion_distance
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);
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}
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}
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trace!("Processed validator justification and finalization rewards/penalities.");
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|
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/*
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* Attestation inclusion
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*/
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for &index in &previous_epoch_attester_indices_hashset {
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let inclusion_slot =
|
|
self.inclusion_slot(&previous_epoch_attestations[..], index, spec)?;
|
|
let proposer_index = self
|
|
.get_beacon_proposer_index(inclusion_slot, spec)
|
|
.map_err(|_| Error::UnableToDetermineProducer)?;
|
|
let base_reward = self.base_reward(proposer_index, base_reward_quotient, spec);
|
|
safe_add_assign!(
|
|
self.validator_balances[proposer_index],
|
|
base_reward / spec.includer_reward_quotient
|
|
);
|
|
}
|
|
|
|
trace!(
|
|
"Previous epoch attesters: {}.",
|
|
previous_epoch_attester_indices_hashset.len()
|
|
);
|
|
|
|
/*
|
|
* Crosslinks
|
|
*/
|
|
for slot in self.previous_epoch(spec).slot_iter(spec.epoch_length) {
|
|
let crosslink_committees_at_slot =
|
|
self.get_crosslink_committees_at_slot(slot, false, spec)?;
|
|
|
|
for (_crosslink_committee, shard) in crosslink_committees_at_slot {
|
|
let shard = shard as u64;
|
|
|
|
if let Some(Ok(winning_root)) = winning_root_for_shards.get(&shard) {
|
|
// TODO: remove the map.
|
|
let attesting_validator_indices: HashSet<usize> = HashSet::from_iter(
|
|
winning_root.attesting_validator_indices.iter().cloned(),
|
|
);
|
|
|
|
for index in 0..self.validator_balances.len() {
|
|
let base_reward = self.base_reward(index, base_reward_quotient, spec);
|
|
|
|
if attesting_validator_indices.contains(&index) {
|
|
safe_add_assign!(
|
|
self.validator_balances[index],
|
|
base_reward * winning_root.total_attesting_balance
|
|
/ winning_root.total_balance
|
|
);
|
|
} else {
|
|
safe_sub_assign!(self.validator_balances[index], base_reward);
|
|
}
|
|
}
|
|
|
|
for index in &winning_root.attesting_validator_indices {
|
|
let base_reward = self.base_reward(*index, base_reward_quotient, spec);
|
|
safe_add_assign!(
|
|
self.validator_balances[*index],
|
|
base_reward * winning_root.total_attesting_balance
|
|
/ winning_root.total_balance
|
|
);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
/*
|
|
* Ejections
|
|
*/
|
|
self.process_ejections(spec);
|
|
|
|
/*
|
|
* Validator Registry
|
|
*/
|
|
self.previous_calculation_epoch = self.current_calculation_epoch;
|
|
self.previous_epoch_start_shard = self.current_epoch_start_shard;
|
|
|
|
debug!(
|
|
"setting previous_epoch_seed to : {}",
|
|
self.current_epoch_seed
|
|
);
|
|
|
|
self.previous_epoch_seed = self.current_epoch_seed;
|
|
|
|
let should_update_validator_registy = if self.finalized_epoch
|
|
> self.validator_registry_update_epoch
|
|
{
|
|
(0..self.get_current_epoch_committee_count(spec)).all(|i| {
|
|
let shard = (self.current_epoch_start_shard + i as u64) % spec.shard_count;
|
|
self.latest_crosslinks[shard as usize].epoch > self.validator_registry_update_epoch
|
|
})
|
|
} else {
|
|
false
|
|
};
|
|
|
|
if should_update_validator_registy {
|
|
trace!("updating validator registry.");
|
|
self.update_validator_registry(spec);
|
|
|
|
self.current_calculation_epoch = next_epoch;
|
|
self.current_epoch_start_shard = (self.current_epoch_start_shard
|
|
+ self.get_current_epoch_committee_count(spec) as u64)
|
|
% spec.shard_count;
|
|
self.current_epoch_seed = self.generate_seed(self.current_calculation_epoch, spec)?
|
|
} else {
|
|
trace!("not updating validator registry.");
|
|
let epochs_since_last_registry_update =
|
|
current_epoch - self.validator_registry_update_epoch;
|
|
if (epochs_since_last_registry_update > 1)
|
|
& epochs_since_last_registry_update.is_power_of_two()
|
|
{
|
|
self.current_calculation_epoch = next_epoch;
|
|
self.current_epoch_seed =
|
|
self.generate_seed(self.current_calculation_epoch, spec)?
|
|
}
|
|
}
|
|
|
|
self.process_penalties_and_exits(spec);
|
|
|
|
self.latest_index_roots[(next_epoch.as_usize() + spec.entry_exit_delay as usize)
|
|
% spec.latest_index_roots_length] = hash_tree_root(get_active_validator_indices(
|
|
&self.validator_registry,
|
|
next_epoch + Epoch::from(spec.entry_exit_delay),
|
|
));
|
|
self.latest_penalized_balances[next_epoch.as_usize() % spec.latest_penalized_exit_length] =
|
|
self.latest_penalized_balances
|
|
[current_epoch.as_usize() % spec.latest_penalized_exit_length];
|
|
self.latest_randao_mixes[next_epoch.as_usize() % spec.latest_randao_mixes_length] = self
|
|
.get_randao_mix(current_epoch, spec)
|
|
.and_then(|x| Some(*x))
|
|
.ok_or_else(|| Error::NoRandaoSeed)?;
|
|
self.latest_attestations = self
|
|
.latest_attestations
|
|
.iter()
|
|
.filter(|a| a.data.slot.epoch(spec.epoch_length) >= current_epoch)
|
|
.cloned()
|
|
.collect();
|
|
|
|
debug!("Epoch transition complete.");
|
|
|
|
Ok(())
|
|
}
|
|
}
|
|
|
|
fn hash_tree_root<T: TreeHash>(input: Vec<T>) -> Hash256 {
|
|
Hash256::from(&input.hash_tree_root()[..])
|
|
}
|
|
|
|
fn winning_root(
|
|
state: &BeaconState,
|
|
shard: u64,
|
|
current_epoch_attestations: &[&PendingAttestation],
|
|
previous_epoch_attestations: &[&PendingAttestation],
|
|
spec: &ChainSpec,
|
|
) -> Result<WinningRoot, WinningRootError> {
|
|
let mut attestations = current_epoch_attestations.to_vec();
|
|
attestations.append(&mut previous_epoch_attestations.to_vec());
|
|
|
|
let mut candidates: HashMap<Hash256, WinningRoot> = HashMap::new();
|
|
|
|
let mut highest_seen_balance = 0;
|
|
|
|
for a in &attestations {
|
|
if a.data.shard != shard {
|
|
continue;
|
|
}
|
|
|
|
let shard_block_root = &a.data.shard_block_root;
|
|
|
|
if candidates.contains_key(shard_block_root) {
|
|
continue;
|
|
}
|
|
|
|
// TODO: `cargo fmt` makes this rather ugly; tidy up.
|
|
let attesting_validator_indices = attestations.iter().try_fold::<_, _, Result<
|
|
_,
|
|
AttestationParticipantsError,
|
|
>>(vec![], |mut acc, a| {
|
|
if (a.data.shard == shard) && (a.data.shard_block_root == *shard_block_root) {
|
|
acc.append(&mut state.get_attestation_participants(
|
|
&a.data,
|
|
&a.aggregation_bitfield,
|
|
spec,
|
|
)?);
|
|
}
|
|
Ok(acc)
|
|
})?;
|
|
|
|
let total_balance: u64 = attesting_validator_indices
|
|
.iter()
|
|
.fold(0, |acc, i| acc + state.get_effective_balance(*i, spec));
|
|
|
|
let total_attesting_balance: u64 = attesting_validator_indices
|
|
.iter()
|
|
.fold(0, |acc, i| acc + state.get_effective_balance(*i, spec));
|
|
|
|
if total_attesting_balance > highest_seen_balance {
|
|
highest_seen_balance = total_attesting_balance;
|
|
}
|
|
|
|
let candidate_root = WinningRoot {
|
|
shard_block_root: *shard_block_root,
|
|
attesting_validator_indices,
|
|
total_attesting_balance,
|
|
total_balance,
|
|
};
|
|
|
|
candidates.insert(*shard_block_root, candidate_root);
|
|
}
|
|
|
|
Ok(candidates
|
|
.iter()
|
|
.filter_map(|(_hash, candidate)| {
|
|
if candidate.total_attesting_balance == highest_seen_balance {
|
|
Some(candidate)
|
|
} else {
|
|
None
|
|
}
|
|
})
|
|
.min_by_key(|candidate| candidate.shard_block_root)
|
|
.ok_or_else(|| WinningRootError::NoWinningRoot)?
|
|
// TODO: avoid clone.
|
|
.clone())
|
|
}
|
|
|
|
impl From<InclusionError> for Error {
|
|
fn from(e: InclusionError) -> Error {
|
|
Error::InclusionError(e)
|
|
}
|
|
}
|
|
|
|
impl From<BeaconStateError> for Error {
|
|
fn from(e: BeaconStateError) -> Error {
|
|
Error::BeaconStateError(e)
|
|
}
|
|
}
|
|
|
|
impl From<AttestationParticipantsError> for Error {
|
|
fn from(e: AttestationParticipantsError) -> Error {
|
|
Error::AttestationParticipantsError(e)
|
|
}
|
|
}
|
|
|
|
impl From<AttestationParticipantsError> for WinningRootError {
|
|
fn from(e: AttestationParticipantsError) -> WinningRootError {
|
|
WinningRootError::AttestationParticipantsError(e)
|
|
}
|
|
}
|
|
|
|
#[cfg(test)]
|
|
mod tests {
|
|
#[test]
|
|
fn it_works() {
|
|
assert_eq!(2 + 2, 4);
|
|
}
|
|
}
|