import deques, options, tables, ./spec/[datatypes, crypto, digest, helpers, validator], extras, ./beacon_chain_db type AttestationCandidate* = object validator*: int data*: AttestationData signature*: ValidatorSig AttestationPool* = object # The Deque below stores all outstanding attestations per slot. # In each slot, we have an array of all attestations indexed by their # shard number. When we haven't received an attestation for a particular # shard yet, the Option value will be `none` attestations: Deque[array[SHARD_COUNT, Option[Attestation]]] startingSlot: SlotNumber # TODO: # The compilicated Deque above is not needed. # # In fact, we can use a simple array with length SHARD_COUNT because # in each epoch, each shard is going to receive attestations exactly once. # Once the epoch is over, we can discard all attestations and start all # over again (no need for `discardHistoryToSlot` too). # # Per Danny as of 2018-12-21: # Yeah, you can do any linear combination of signatures. but you have to # remember the linear combination of pubkeys that constructed # if you have two instances of a signature from pubkey p, then you need 2*p # in the group pubkey because the attestation bitfield is only 1 bit per # pubkey right now, attestations do not support this it could be extended to # support N overlaps up to N times per pubkey if we had N bits per validator # instead of 1 # We are shying away from this for the time being. If there end up being # substantial difficulties in network layer aggregation, then adding bits to # aid in supporting overlaps is one potential solution proc init*(T: type AttestationPool, startingSlot: SlotNumber): T = result.attestations = initDeque[array[SHARD_COUNT, Option[Attestation]]]() result.startingSlot = startingSlot proc setLen*[T](d: var Deque[T], len: int) = # TODO: The upstream `Deque` type should gain a proper resize API let delta = len - d.len if delta > 0: for i in 0 ..< delta: var defaultVal: T d.addLast(defaultVal) else: d.shrink(fromLast = delta) proc combine*(tgt: var Attestation, src: Attestation, flags: UpdateFlags) = # Combine the signature and participation bitfield, with the assumption that # the same data is being signed! # TODO similar code in work_pool, clean up assert tgt.data == src.data for i in 0 ..< tgt.aggregation_bitfield.len: # TODO: # when BLS signatures are combined, we must ensure that # the same participant key is not included on both sides tgt.aggregation_bitfield[i] = tgt.aggregation_bitfield[i] or src.aggregation_bitfield[i] if skipValidation notin flags: tgt.aggregate_signature.combine(src.aggregate_signature) proc add*(pool: var AttestationPool, attestation: Attestation, beaconState: BeaconState) = # The caller of this function is responsible for ensuring that # the attestations will be given in a strictly slot increasing order: doAssert attestation.data.slot >= pool.startingSlot # TODO: # Validate that the attestation is authentic (it's properly signed) # and make sure that the validator is supposed to make an attestation # for the specific shard/slot let slotIdxInPool = int(attestation.data.slot - pool.startingSlot) if slotIdxInPool >= pool.attestations.len: pool.attestations.setLen(slotIdxInPool + 1) let shard = attestation.data.shard if pool.attestations[slotIdxInPool][shard].isSome: combine(pool.attestations[slotIdxInPool][shard].get, attestation, {}) else: pool.attestations[slotIdxInPool][shard] = some(attestation) proc getAttestationsForBlock*(pool: AttestationPool, lastState: BeaconState, newBlockSlot: SlotNumber): seq[Attestation] = if newBlockSlot < MIN_ATTESTATION_INCLUSION_DELAY or pool.attestations.len == 0: return doAssert newBlockSlot > lastState.slot var firstSlot = 0.SlotNumber lastSlot = newBlockSlot - MIN_ATTESTATION_INCLUSION_DELAY if pool.startingSlot + MIN_ATTESTATION_INCLUSION_DELAY <= lastState.slot: firstSlot = lastState.slot - MIN_ATTESTATION_INCLUSION_DELAY for slot in firstSlot .. lastSlot: let slotDequeIdx = int(slot - pool.startingSlot) if slotDequeIdx >= pool.attestations.len: return let shardAndComittees = get_crosslink_committees_at_slot(lastState, slot) for s in shardAndComittees: if pool.attestations[slotDequeIdx][s.shard].isSome: result.add pool.attestations[slotDequeIdx][s.shard].get proc discardHistoryToSlot*(pool: var AttestationPool, slot: SlotNumber) = ## The index is treated inclusively let slot = slot - MIN_ATTESTATION_INCLUSION_DELAY if slot < pool.startingSlot: return let slotIdx = int(slot - pool.startingSlot) pool.attestations.shrink(fromFirst = slotIdx + 1) func getAttestationCandidate*(attestation: Attestation): AttestationCandidate = # TODO: not complete AttestationCandidate object result.data = attestation.data result.signature = attestation.aggregate_signature # ################################################################## # Specs # # The beacon chain fork choice rule is a hybrid that combines justification and finality with Latest Message Driven (LMD) Greediest Heaviest Observed SubTree (GHOST). At any point in time a [validator](#dfn-validator) `v` subjectively calculates the beacon chain head as follows. # # * Let `store` be the set of attestations and blocks # that the validator `v` has observed and verified # (in particular, block ancestors must be recursively verified). # Attestations not part of any chain are still included in `store`. # * Let `finalized_head` be the finalized block with the highest slot number. # (A block `B` is finalized if there is a descendant of `B` in `store` # the processing of which sets `B` as finalized.) # * Let `justified_head` be the descendant of `finalized_head` # with the highest slot number that has been justified # for at least `EPOCH_LENGTH` slots. # (A block `B` is justified if there is a descendant of `B` in `store` # the processing of which sets `B` as justified.) # If no such descendant exists set `justified_head` to `finalized_head`. # * Let `get_ancestor(store, block, slot)` be the ancestor of `block` with slot number `slot`. # The `get_ancestor` function can be defined recursively # # def get_ancestor(store, block, slot): # return block if block.slot == slot # else get_ancestor(store, store.get_parent(block), slot)`. # # * Let `get_latest_attestation(store, validator)` # be the attestation with the highest slot number in `store` from `validator`. # If several such attestations exist, # use the one the validator `v` observed first. # * Let `get_latest_attestation_target(store, validator)` # be the target block in the attestation `get_latest_attestation(store, validator)`. # * The head is `lmd_ghost(store, justified_head)`. (See specs) # # Departing from specs: # - We use a simple fork choice rule without finalized and justified head # - We don't implement "get_latest_attestation(store, validator) -> Attestation" # nor get_latest_attestation_target # - We use block hashes (Eth2Digest) instead of raw blocks where possible proc get_parent(db: BeaconChainDB, blck: Eth2Digest): Eth2Digest = db.getBlock(blck).parent_root proc get_ancestor( store: BeaconChainDB, blck: Eth2Digest, slot: SlotNumber): Eth2Digest = ## Find the ancestor with a specific slot number let blk = store.getBlock(blck) if blk.slot == slot: blck else: store.get_ancestor(blk.parent_root, slot) # TODO: Eliminate recursion # TODO: what if the slot was never observed/verified? func getVoteCount(aggregation_bitfield: openarray[byte]): int = ## Get the number of votes # TODO: A bitfield type that tracks that information # https://github.com/status-im/nim-beacon-chain/issues/19 for validatorIdx in 0 ..< aggregation_bitfield.len * 8: result += int aggregation_bitfield.get_bitfield_bit(validatorIdx) func getAttestationVoteCount( pool: AttestationPool, current_slot: SlotNumber): CountTable[Eth2Digest] = ## Returns all blocks more recent that the current slot ## that were attested and their vote count # This replaces: # - get_latest_attestation, # - get_latest_attestation_targets # that are used in lmd_ghost for # ``` # attestation_targets = [get_latest_attestation_target(store, validator) # for validator in active_validators] # ``` # Note that attestation_targets in the Eth2 specs can have duplicates # while the following implementation will count such blockhash multiple times instead. result = initCountTable[Eth2Digest]() for slot in current_slot - pool.startingSlot ..< pool.attestations.len.uint64: for attestation in pool.attestations[slot]: if attestation.isSome: # Increase the block attestation counts by the number of validators aggregated let voteCount = attestation.get.aggregation_bitfield.getVoteCount() result.inc(attestation.get.data.beacon_block_root, voteCount) proc lmdGhost*( store: BeaconChainDB, pool: AttestationPool, state: BeaconState, blocksChildren: Table[Eth2Digest, seq[Eth2Digest]]): BeaconBlock = # Recompute the new head of the beacon chain according to # LMD GHOST (Latest Message Driven - Greediest Heaviest Observed SubTree) # Raw vote count from all attestations let rawVoteCount = pool.getAttestationVoteCount(state.slot) # The real vote count for a block also takes into account votes for its children # TODO: a Fenwick Tree datastructure to keep track of cumulated votes # in O(log N) complexity # https://en.wikipedia.org/wiki/Fenwick_tree # Nim implementation for cumulative frequencies at # https://github.com/numforge/laser/blob/990e59fffe50779cdef33aa0b8f22da19e1eb328/benchmarks/random_sampling/fenwicktree.nim var head = state.latest_block_roots[state.slot mod LATEST_BLOCK_ROOTS_LENGTH] var childVotes = initCountTable[Eth2Digest]() while true: # TODO use a O(log N) implementation instead of O(N^2) let children = blocksChildren[head] if children.len == 0: return store.getBlock(head) # For now we assume that all children are direct descendant of the current head let next_slot = store.getBlock(head).slot + 1 for child in children: doAssert store.getBlock(child).slot == next_slot childVotes.clear() for target, votes in rawVoteCount.pairs: if store.getBlock(target).slot >= next_slot: childVotes.inc(store.get_ancestor(target, next_slot), votes) head = childVotes.largest().key