package actors import ( "context" "encoding/binary" "fmt" "github.com/filecoin-project/lotus/build" "github.com/filecoin-project/lotus/chain/actors/aerrors" "github.com/filecoin-project/lotus/chain/address" "github.com/filecoin-project/lotus/chain/types" "github.com/filecoin-project/lotus/lib/sectorbuilder" "github.com/filecoin-project/go-amt-ipld" "github.com/ipfs/go-cid" cbor "github.com/ipfs/go-ipld-cbor" "github.com/libp2p/go-libp2p-core/peer" cbg "github.com/whyrusleeping/cbor-gen" "golang.org/x/xerrors" ) type StorageMinerActor struct{} type StorageMinerActorState struct { // PreCommittedSectors is the set of sectors that have been committed to but not // yet had their proofs submitted PreCommittedSectors map[string]*PreCommittedSector // All sectors this miner has committed. Sectors cid.Cid // TODO: Spec says 'StagedCommittedSectors', which one is it? // Sectors this miner is currently mining. It is only updated // when a PoSt is submitted (not as each new sector commitment is added). ProvingSet cid.Cid // TODO: these: // SectorTable // SectorExpirationQueue // ChallengeStatus // Contains mostly static info about this miner Info cid.Cid // Faulty sectors reported since last SubmitPost, // up to the current proving period's challenge time. CurrentFaultSet types.BitField // Faults submitted after the current proving period's challenge time, // but before the PoSt for that period is submitted. // These become the currentFaultSet when a PoSt is submitted. NextFaultSet types.BitField // Sectors reported during the last PoSt submission as being 'done'. // The collateral for them is still being held until // the next PoSt submission in case early sector // removal penalization is needed. NextDoneSet types.BitField // Amount of power this miner has. Power types.BigInt // List of sectors that this miner was slashed for. //SlashedSet SectorSet // The height at which this miner was slashed at. SlashedAt types.BigInt // The amount of storage collateral that is owed to clients, and cannot be used for collateral anymore. OwedStorageCollateral types.BigInt ProvingPeriodEnd uint64 } type MinerInfo struct { // Account that owns this miner. // - Income and returned collateral are paid to this address. // - This address is also allowed to change the worker address for the miner. Owner address.Address // Worker account for this miner. // This will be the key that is used to sign blocks created by this miner, and // sign messages sent on behalf of this miner to commit sectors, submit PoSts, and // other day to day miner activities. Worker address.Address // Libp2p identity that should be used when connecting to this miner. PeerID peer.ID // Amount of space in each sector committed to the network by this miner. SectorSize uint64 // SubsectorCount } type PreCommittedSector struct { Info SectorPreCommitInfo ReceivedEpoch uint64 } type StorageMinerConstructorParams struct { Owner address.Address Worker address.Address SectorSize uint64 PeerID peer.ID } type SectorPreCommitInfo struct { SectorNumber uint64 CommR []byte // TODO: Spec says CID SealEpoch uint64 DealIDs []uint64 } type maMethods struct { Constructor uint64 PreCommitSector uint64 ProveCommitSector uint64 SubmitPoSt uint64 SlashStorageFault uint64 GetCurrentProvingSet uint64 ArbitrateDeal uint64 DePledge uint64 GetOwner uint64 GetWorkerAddr uint64 GetPower uint64 GetPeerID uint64 GetSectorSize uint64 UpdatePeerID uint64 ChangeWorker uint64 IsSlashed uint64 IsLate uint64 DeclareFaults uint64 SlashConsensusFault uint64 } var MAMethods = maMethods{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19} func (sma StorageMinerActor) Exports() []interface{} { return []interface{}{ 1: sma.StorageMinerConstructor, 2: sma.PreCommitSector, 3: sma.ProveCommitSector, 4: sma.SubmitPoSt, //5: sma.SlashStorageFault, //6: sma.GetCurrentProvingSet, //7: sma.ArbitrateDeal, //8: sma.DePledge, 9: sma.GetOwner, 10: sma.GetWorkerAddr, 11: sma.GetPower, // TODO: Remove 12: sma.GetPeerID, 13: sma.GetSectorSize, 14: sma.UpdatePeerID, //15: sma.ChangeWorker, //16: sma.IsSlashed, //17: sma.IsLate, 18: sma.DeclareFaults, 19: sma.SlashConsensusFault, } } func loadState(vmctx types.VMContext) (cid.Cid, *StorageMinerActorState, ActorError) { var self StorageMinerActorState oldstate := vmctx.Storage().GetHead() if err := vmctx.Storage().Get(oldstate, &self); err != nil { return cid.Undef, nil, err } return oldstate, &self, nil } func loadMinerInfo(vmctx types.VMContext, m *StorageMinerActorState) (*MinerInfo, ActorError) { var mi MinerInfo if err := vmctx.Storage().Get(m.Info, &mi); err != nil { return nil, err } return &mi, nil } func (sma StorageMinerActor) StorageMinerConstructor(act *types.Actor, vmctx types.VMContext, params *StorageMinerConstructorParams) ([]byte, ActorError) { minerInfo := &MinerInfo{ Owner: params.Owner, Worker: params.Worker, PeerID: params.PeerID, SectorSize: params.SectorSize, } minfocid, err := vmctx.Storage().Put(minerInfo) if err != nil { return nil, err } var self StorageMinerActorState sectors := amt.NewAMT(types.WrapStorage(vmctx.Storage())) scid, serr := sectors.Flush() if serr != nil { return nil, aerrors.HandleExternalError(serr, "initializing AMT") } self.Sectors = scid self.ProvingSet = scid self.Info = minfocid storage := vmctx.Storage() c, err := storage.Put(&self) if err != nil { return nil, err } if err := storage.Commit(EmptyCBOR, c); err != nil { return nil, err } return nil, nil } func (sma StorageMinerActor) PreCommitSector(act *types.Actor, vmctx types.VMContext, params *SectorPreCommitInfo) ([]byte, ActorError) { ctx := vmctx.Context() oldstate, self, err := loadState(vmctx) if err != nil { return nil, err } if params.SealEpoch >= vmctx.BlockHeight()+build.SealRandomnessLookback { return nil, aerrors.Newf(1, "sector commitment must be based off past randomness (%d >= %d)", params.SealEpoch, vmctx.BlockHeight()+build.SealRandomnessLookback) } if vmctx.BlockHeight()-params.SealEpoch+build.SealRandomnessLookback > build.SealRandomnessLookbackLimit { return nil, aerrors.Newf(2, "sector commitment must be recent enough (was %d)", vmctx.BlockHeight()-params.SealEpoch+build.SealRandomnessLookback) } mi, err := loadMinerInfo(vmctx, self) if err != nil { return nil, err } if vmctx.Message().From != mi.Worker { return nil, aerrors.New(1, "not authorized to commit sector for miner") } // make sure the miner isnt trying to submit a pre-existing sector unique, err := SectorIsUnique(ctx, vmctx.Storage(), self.Sectors, params.SectorNumber) if err != nil { return nil, err } if !unique { return nil, aerrors.New(3, "sector already committed!") } // Power of the miner after adding this sector futurePower := types.BigAdd(self.Power, types.NewInt(mi.SectorSize)) collateralRequired := CollateralForPower(futurePower) // TODO: grab from market? if act.Balance.LessThan(collateralRequired) { return nil, aerrors.New(4, "not enough collateral") } self.PreCommittedSectors[uintToStringKey(params.SectorNumber)] = &PreCommittedSector{ Info: *params, ReceivedEpoch: vmctx.BlockHeight(), } nstate, err := vmctx.Storage().Put(self) if err != nil { return nil, err } if err := vmctx.Storage().Commit(oldstate, nstate); err != nil { return nil, err } return nil, nil } func uintToStringKey(i uint64) string { buf := make([]byte, 10) n := binary.PutUvarint(buf, i) return string(buf[:n]) } type SectorProveCommitInfo struct { Proof []byte SectorID uint64 DealIDs []uint64 } func (sma StorageMinerActor) ProveCommitSector(act *types.Actor, vmctx types.VMContext, params *SectorProveCommitInfo) ([]byte, ActorError) { ctx := vmctx.Context() oldstate, self, err := loadState(vmctx) if err != nil { return nil, err } mi, err := loadMinerInfo(vmctx, self) if err != nil { return nil, err } us, ok := self.PreCommittedSectors[uintToStringKey(params.SectorID)] if !ok { return nil, aerrors.New(1, "no pre-commitment found for sector") } if us.ReceivedEpoch+build.InteractivePoRepDelay >= vmctx.BlockHeight() { return nil, aerrors.New(2, "too early for proof submission") } delete(self.PreCommittedSectors, uintToStringKey(params.SectorID)) // TODO: ensure normalization to ID address maddr := vmctx.Message().To ticket, err := vmctx.GetRandomness(us.Info.SealEpoch - build.SealRandomnessLookback) if err != nil { return nil, aerrors.Wrap(err, "failed to get ticket randomness") } seed, err := vmctx.GetRandomness(us.ReceivedEpoch + build.InteractivePoRepDelay) if err != nil { return nil, aerrors.Wrap(err, "failed to get randomness for prove sector commitment") } enc, err := SerializeParams(&ComputeDataCommitmentParams{ DealIDs: params.DealIDs, SectorSize: mi.SectorSize, }) if err != nil { return nil, aerrors.Wrap(err, "failed to serialize ComputeDataCommitmentParams") } commD, err := vmctx.Send(StorageMarketAddress, SMAMethods.ComputeDataCommitment, types.NewInt(0), enc) if err != nil { return nil, aerrors.Wrap(err, "failed to compute data commitment") } if ok, err := ValidatePoRep(maddr, mi.SectorSize, commD, us.Info.CommR, ticket, params.Proof, seed, params.SectorID); err != nil { return nil, err } else if !ok { return nil, aerrors.Newf(2, "porep proof was invalid (t:%x; s:%x(%d); p:%x)", ticket, seed, us.ReceivedEpoch+build.InteractivePoRepDelay, params.Proof) } // Note: There must exist a unique index in the miner's sector set for each // sector ID. The `faults`, `recovered`, and `done` parameters of the // SubmitPoSt method express indices into this sector set. nssroot, err := AddToSectorSet(ctx, vmctx.Storage(), self.Sectors, params.SectorID, us.Info.CommR, commD) if err != nil { return nil, err } self.Sectors = nssroot // if miner is not mining, start their proving period now // Note: As written here, every miners first PoSt will only be over one sector. // We could set up a 'grace period' for starting mining that would allow miners // to submit several sectors for their first proving period. Alternatively, we // could simply make the 'PreCommitSector' call take multiple sectors at a time. // // Note: Proving period is a function of sector size; small sectors take less // time to prove than large sectors do. Sector size is selected when pledging. pss, lerr := amt.LoadAMT(types.WrapStorage(vmctx.Storage()), self.ProvingSet) if lerr != nil { return nil, aerrors.HandleExternalError(lerr, "could not load proving set node") } if pss.Count == 0 { self.ProvingSet = self.Sectors self.ProvingPeriodEnd = vmctx.BlockHeight() + build.ProvingPeriodDuration } nstate, err := vmctx.Storage().Put(self) if err != nil { return nil, err } if err := vmctx.Storage().Commit(oldstate, nstate); err != nil { return nil, err } activateParams, err := SerializeParams(&ActivateStorageDealsParams{ Deals: params.DealIDs, }) if err != nil { return nil, err } _, err = vmctx.Send(StorageMarketAddress, SMAMethods.ActivateStorageDeals, types.NewInt(0), activateParams) return nil, err } type SubmitPoStParams struct { Proof []byte DoneSet types.BitField // TODO: once the spec changes finish, we have more work to do here... } func ProvingPeriodEnd(setPeriodEnd, height uint64) (uint64, uint64) { offset := setPeriodEnd % build.ProvingPeriodDuration period := ((height - offset - 1) / build.ProvingPeriodDuration) + 1 end := (period * build.ProvingPeriodDuration) + offset return end, period } // TODO: this is a dummy method that allows us to plumb in other parts of the // system for now. func (sma StorageMinerActor) SubmitPoSt(act *types.Actor, vmctx types.VMContext, params *SubmitPoStParams) ([]byte, ActorError) { oldstate, self, err := loadState(vmctx) if err != nil { return nil, err } mi, err := loadMinerInfo(vmctx, self) if err != nil { return nil, err } if vmctx.Message().From != mi.Worker { return nil, aerrors.New(1, "not authorized to submit post for miner") } currentProvingPeriodEnd, _ := ProvingPeriodEnd(self.ProvingPeriodEnd, vmctx.BlockHeight()) feesRequired := types.NewInt(0) if currentProvingPeriodEnd > self.ProvingPeriodEnd { //TODO late fee calc feesRequired = types.BigAdd(feesRequired, types.NewInt(1000)) } //TODO temporary sector failure fees msgVal := vmctx.Message().Value if msgVal.LessThan(feesRequired) { return nil, aerrors.New(2, "not enough funds to pay post submission fees") } if msgVal.GreaterThan(feesRequired) { _, err := vmctx.Send(vmctx.Message().From, 0, types.BigSub(msgVal, feesRequired), nil) if err != nil { return nil, aerrors.Wrap(err, "could not refund excess fees") } } var seed [sectorbuilder.CommLen]byte { randHeight := currentProvingPeriodEnd - build.PoStChallangeTime - build.PoStRandomnessLookback if vmctx.BlockHeight() <= randHeight { // TODO: spec, retcode return nil, aerrors.Newf(1, "submit PoSt called outside submission window (%d < %d)", vmctx.BlockHeight(), randHeight) } rand, err := vmctx.GetRandomness(randHeight) if err != nil { return nil, aerrors.Wrap(err, "could not get randomness for PoST") } if len(rand) < len(seed) { return nil, aerrors.Escalate(fmt.Errorf("randomness too small (%d < %d)", len(rand), len(seed)), "improper randomness") } copy(seed[:], rand) } pss, lerr := amt.LoadAMT(types.WrapStorage(vmctx.Storage()), self.ProvingSet) if lerr != nil { return nil, aerrors.HandleExternalError(lerr, "could not load proving set node") } var sectorInfos []sectorbuilder.SectorInfo if err := pss.ForEach(func(id uint64, v *cbg.Deferred) error { var comms [][]byte if err := cbor.DecodeInto(v.Raw, &comms); err != nil { return xerrors.New("could not decode comms") } si := sectorbuilder.SectorInfo{ SectorID: id, } commR := comms[0] if len(commR) != len(si.CommR) { return xerrors.Errorf("commR length is wrong: %d", len(commR)) } copy(si.CommR[:], commR) sectorInfos = append(sectorInfos, si) return nil }); err != nil { return nil, aerrors.Absorb(err, 3, "could not decode sectorset") } faults := self.CurrentFaultSet.All() if ok, lerr := sectorbuilder.VerifyPost(mi.SectorSize, sectorbuilder.NewSortedSectorInfo(sectorInfos), seed, params.Proof, faults); !ok || lerr != nil { if lerr != nil { // TODO: study PoST errors return nil, aerrors.Absorb(lerr, 4, "PoST error") } if !ok { return nil, aerrors.New(4, "PoST invalid") } } self.CurrentFaultSet = self.NextFaultSet self.NextFaultSet = types.NewBitField() ss, lerr := amt.LoadAMT(types.WrapStorage(vmctx.Storage()), self.ProvingSet) if lerr != nil { return nil, aerrors.HandleExternalError(lerr, "could not load proving set node") } if err := ss.BatchDelete(params.DoneSet.All()); err != nil { // TODO: this could fail for system reasons (block not found) or for // bad user input reasons (e.g. bad doneset). The latter should be a // non-fatal error return nil, aerrors.HandleExternalError(err, "failed to delete sectors in done set") } self.ProvingSet, lerr = ss.Flush() if lerr != nil { return nil, aerrors.HandleExternalError(lerr, "could not flush AMT") } oldPower := self.Power self.Power = types.BigMul(types.NewInt(pss.Count-uint64(len(faults))), types.NewInt(mi.SectorSize)) enc, err := SerializeParams(&UpdateStorageParams{Delta: types.BigSub(self.Power, oldPower)}) if err != nil { return nil, err } _, err = vmctx.Send(StoragePowerAddress, SPAMethods.UpdateStorage, types.NewInt(0), enc) if err != nil { return nil, err } self.ProvingSet = self.Sectors self.ProvingPeriodEnd = currentProvingPeriodEnd + build.ProvingPeriodDuration self.NextDoneSet = params.DoneSet c, err := vmctx.Storage().Put(self) if err != nil { return nil, err } if err := vmctx.Storage().Commit(oldstate, c); err != nil { return nil, err } return nil, nil } func (sma StorageMinerActor) GetPower(act *types.Actor, vmctx types.VMContext, params *struct{}) ([]byte, ActorError) { _, self, err := loadState(vmctx) if err != nil { return nil, err } return self.Power.Bytes(), nil } func SectorIsUnique(ctx context.Context, s types.Storage, sroot cid.Cid, sid uint64) (bool, ActorError) { found, _, _, err := GetFromSectorSet(ctx, s, sroot, sid) if err != nil { return false, err } return !found, nil } func AddToSectorSet(ctx context.Context, s types.Storage, ss cid.Cid, sectorID uint64, commR, commD []byte) (cid.Cid, ActorError) { ssr, err := amt.LoadAMT(types.WrapStorage(s), ss) if err != nil { return cid.Undef, aerrors.HandleExternalError(err, "could not load sector set node") } // TODO: Spec says to use SealCommitment, and construct commD from deals each time, // but that would make SubmitPoSt way, way more expensive if err := ssr.Set(sectorID, [][]byte{commR, commD}); err != nil { return cid.Undef, aerrors.HandleExternalError(err, "failed to set commitment in sector set") } ncid, err := ssr.Flush() if err != nil { return cid.Undef, aerrors.HandleExternalError(err, "failed to flush sector set") } return ncid, nil } func GetFromSectorSet(ctx context.Context, s types.Storage, ss cid.Cid, sectorID uint64) (bool, []byte, []byte, ActorError) { ssr, err := amt.LoadAMT(types.WrapStorage(s), ss) if err != nil { return false, nil, nil, aerrors.HandleExternalError(err, "could not load sector set node") } var comms [][]byte err = ssr.Get(sectorID, &comms) if err != nil { if _, ok := err.(*amt.ErrNotFound); ok { return false, nil, nil, nil } return false, nil, nil, aerrors.HandleExternalError(err, "failed to find sector in sector set") } if len(comms) != 2 { return false, nil, nil, aerrors.Newf(20, "sector set entry should only have 2 elements") } return true, comms[0], comms[1], nil } func ValidatePoRep(maddr address.Address, ssize uint64, commD, commR, ticket, proof, seed []byte, sectorID uint64) (bool, ActorError) { ok, err := sectorbuilder.VerifySeal(ssize, commR, commD, maddr, ticket, seed, sectorID, proof) if err != nil { return false, aerrors.Absorb(err, 25, "verify seal failed") } return ok, nil } func CollateralForPower(power types.BigInt) types.BigInt { return types.BigMul(power, types.NewInt(10)) /* TODO: this availableFil = FakeGlobalMethods.GetAvailableFil() totalNetworkPower = StorageMinerActor.GetTotalStorage() numMiners = StorageMarket.GetMinerCount() powerCollateral = availableFil * NetworkConstants.POWER_COLLATERAL_PROPORTION * power / totalNetworkPower perCapitaCollateral = availableFil * NetworkConstants.PER_CAPITA_COLLATERAL_PROPORTION / numMiners collateralRequired = math.Ceil(minerPowerCollateral + minerPerCapitaCollateral) return collateralRequired */ } func (sma StorageMinerActor) GetWorkerAddr(act *types.Actor, vmctx types.VMContext, params *struct{}) ([]byte, ActorError) { _, self, err := loadState(vmctx) if err != nil { return nil, err } mi, err := loadMinerInfo(vmctx, self) if err != nil { return nil, err } return mi.Worker.Bytes(), nil } func (sma StorageMinerActor) GetOwner(act *types.Actor, vmctx types.VMContext, params *struct{}) ([]byte, ActorError) { _, self, err := loadState(vmctx) if err != nil { return nil, err } mi, err := loadMinerInfo(vmctx, self) if err != nil { return nil, err } return mi.Owner.Bytes(), nil } func (sma StorageMinerActor) GetPeerID(act *types.Actor, vmctx types.VMContext, params *struct{}) ([]byte, ActorError) { _, self, err := loadState(vmctx) if err != nil { return nil, err } mi, err := loadMinerInfo(vmctx, self) if err != nil { return nil, err } return []byte(mi.PeerID), nil } type UpdatePeerIDParams struct { PeerID peer.ID } func (sma StorageMinerActor) UpdatePeerID(act *types.Actor, vmctx types.VMContext, params *UpdatePeerIDParams) ([]byte, ActorError) { oldstate, self, err := loadState(vmctx) if err != nil { return nil, err } mi, err := loadMinerInfo(vmctx, self) if err != nil { return nil, err } if vmctx.Message().From != mi.Worker { return nil, aerrors.New(2, "only the mine worker may update the peer ID") } mi.PeerID = params.PeerID mic, err := vmctx.Storage().Put(mi) if err != nil { return nil, err } self.Info = mic c, err := vmctx.Storage().Put(self) if err != nil { return nil, err } if err := vmctx.Storage().Commit(oldstate, c); err != nil { return nil, err } return nil, nil } func (sma StorageMinerActor) GetSectorSize(act *types.Actor, vmctx types.VMContext, params *struct{}) ([]byte, ActorError) { _, self, err := loadState(vmctx) if err != nil { return nil, err } mi, err := loadMinerInfo(vmctx, self) if err != nil { return nil, err } return types.NewInt(mi.SectorSize).Bytes(), nil } type PaymentVerifyParams struct { Extra []byte Proof []byte } type DeclareFaultsParams struct { Faults types.BitField } func (sma StorageMinerActor) DeclareFaults(act *types.Actor, vmctx types.VMContext, params *DeclareFaultsParams) ([]byte, ActorError) { oldstate, self, aerr := loadState(vmctx) if aerr != nil { return nil, aerr } challengeHeight := self.ProvingPeriodEnd - build.PoStChallangeTime if vmctx.BlockHeight() < challengeHeight { // TODO: optimized bitfield methods for _, v := range params.Faults.All() { self.CurrentFaultSet.Set(v) } } else { for _, v := range params.Faults.All() { self.NextFaultSet.Set(v) } } nstate, err := vmctx.Storage().Put(self) if err != nil { return nil, err } if err := vmctx.Storage().Commit(oldstate, nstate); err != nil { return nil, err } return nil, nil } type MinerSlashConsensusFault struct { Slasher address.Address AtHeight uint64 SlashedCollateral types.BigInt } func (sma StorageMinerActor) SlashConsensusFault(act *types.Actor, vmctx types.VMContext, params *MinerSlashConsensusFault) ([]byte, ActorError) { if vmctx.Message().From != StoragePowerAddress { return nil, aerrors.New(1, "SlashConsensusFault may only be called by the storage market actor") } slashedCollateral := params.SlashedCollateral if slashedCollateral.LessThan(act.Balance) { slashedCollateral = act.Balance } // Some of the slashed collateral should be paid to the slasher // GROWTH_RATE determines how fast the slasher share of slashed collateral will increase as block elapses // current GROWTH_RATE results in SLASHER_SHARE reaches 1 after 30 blocks // TODO: define arithmetic precision and rounding for this operation blockElapsed := vmctx.BlockHeight() - params.AtHeight slasherShare := slasherShare(params.SlashedCollateral, blockElapsed) burnPortion := types.BigSub(slashedCollateral, slasherShare) _, err := vmctx.Send(vmctx.Message().From, 0, slasherShare, nil) if err != nil { return nil, aerrors.Wrap(err, "failed to pay slasher") } _, err = vmctx.Send(BurntFundsAddress, 0, burnPortion, nil) if err != nil { return nil, aerrors.Wrap(err, "failed to burn funds") } // TODO: this still allows the miner to commit sectors and submit posts, // their users could potentially be unaffected, but the miner will never be // able to mine a block again // One potential issue: the miner will have to pay back the slashed // collateral to continue submitting PoSts, which includes pledge // collateral that they no longer really 'need' return nil, nil } func slasherShare(total types.BigInt, elapsed uint64) types.BigInt { // [int(pow(1.26, n) * 10) for n in range(30)] fracs := []uint64{10, 12, 15, 20, 25, 31, 40, 50, 63, 80, 100, 127, 160, 201, 254, 320, 403, 508, 640, 807, 1017, 1281, 1614, 2034, 2563, 3230, 4070, 5128, 6462, 8142} const precision = 10000 var frac uint64 if elapsed >= uint64(len(fracs)) { return total } else { frac = fracs[elapsed] } return types.BigDiv( types.BigMul( types.NewInt(frac), total, ), types.NewInt(precision), ) }