package effective import ( "encoding/json" "math/big" "sort" "github.com/ethereum/go-ethereum/common" common2 "github.com/harmony-one/harmony/internal/common" "github.com/harmony-one/harmony/internal/utils" "github.com/harmony-one/harmony/numeric" "github.com/harmony-one/harmony/shard" ) // medium.com/harmony-one/introducing-harmonys-effective-proof-of-stake-epos-2d39b4b8d58 var ( two = numeric.NewDecFromBigInt(big.NewInt(2)) c, _ = numeric.NewDecFromStr("0.15") onePlusC = numeric.OneDec().Add(c) oneMinusC = numeric.OneDec().Sub(c) ) func effectiveStake(median, actual numeric.Dec) numeric.Dec { left := numeric.MinDec(onePlusC.Mul(median), actual) right := oneMinusC.Mul(median) return numeric.MaxDec(left, right) } // SlotPurchase .. type SlotPurchase struct { common.Address `json:"slot-owner"` shard.BlsPublicKey `json:"bls-public-key"` numeric.Dec `json:"eposed-stake"` } // SlotOrder .. type SlotOrder struct { Stake *big.Int SpreadAmong []shard.BlsPublicKey } // Slots .. type Slots []SlotPurchase // JSON is a plain JSON dump func (s Slots) JSON() string { type t struct { Address string `json:"slot-owner"` Key string `json:"bls-public-key"` Stake string `json:"actual-stake"` } type v struct { Slots []t `json:"slots"` } data := v{} for i := range s { newData := t{ common2.MustAddressToBech32(s[i].Address), s[i].BlsPublicKey.Hex(), s[i].Dec.String(), } data.Slots = append(data.Slots, newData) } b, _ := json.Marshal(data) return string(b) } func median(stakes []SlotPurchase) numeric.Dec { sort.SliceStable( stakes, func(i, j int) bool { return stakes[i].Dec.LTE(stakes[j].Dec) }, ) const isEven = 0 switch l := len(stakes); l % 2 { case isEven: left := (l / 2) - 1 right := (l / 2) utils.Logger().Info().Int("left", left).Int("right", right) return stakes[left].Dec.Add(stakes[right].Dec).Quo(two) default: utils.Logger().Info().Int("median index", l/2) return stakes[l/2].Dec } } // Apply .. func Apply(shortHand map[common.Address]SlotOrder, pull int) Slots { eposedSlots := Slots{} if len(shortHand) == 0 { return eposedSlots } // Expand for staker := range shortHand { slotsCount := len(shortHand[staker].SpreadAmong) spread := numeric.NewDecFromBigInt(shortHand[staker].Stake). QuoInt64(int64(slotsCount)) for i := 0; i < slotsCount; i++ { eposedSlots = append(eposedSlots, SlotPurchase{ staker, shortHand[staker].SpreadAmong[i], spread, }) } } if len(eposedSlots) < len(shortHand) { // WARN Should never happen } sort.SliceStable( eposedSlots, func(i, j int) bool { return eposedSlots[i].Dec.GT(eposedSlots[j].Dec) }, ) if l := len(eposedSlots); l < pull { pull = l } picks := eposedSlots[:pull] median := median(picks) for i := range picks { picks[i].Dec = effectiveStake(median, picks[i].Dec) } return picks }