2020-05-20 11:46:45 +08:00
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package parlia
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import (
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2023-10-24 21:51:30 +08:00
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"crypto/rand"
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2020-05-20 11:46:45 +08:00
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"fmt"
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2023-10-24 21:51:30 +08:00
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mrand "math/rand"
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2020-05-20 11:46:45 +08:00
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"testing"
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2023-04-10 18:36:45 +08:00
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"golang.org/x/crypto/sha3"
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2020-05-20 11:46:45 +08:00
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"github.com/ethereum/go-ethereum/common"
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2023-04-10 18:36:45 +08:00
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cmath "github.com/ethereum/go-ethereum/common/math"
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"github.com/ethereum/go-ethereum/core/types"
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"github.com/ethereum/go-ethereum/rlp"
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)
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const (
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upperLimitOfVoteBlockNumber = 11
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2020-05-20 11:46:45 +08:00
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)
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func TestImpactOfValidatorOutOfService(t *testing.T) {
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testCases := []struct {
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totalValidators int
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downValidators int
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turnLength int
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}{
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{3, 1, 1},
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{5, 2, 1},
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{10, 1, 2},
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{10, 4, 2},
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{21, 1, 3},
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{21, 3, 3},
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{21, 5, 4},
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{21, 10, 5},
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2020-05-20 11:46:45 +08:00
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}
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for _, tc := range testCases {
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simulateValidatorOutOfService(tc.totalValidators, tc.downValidators, tc.turnLength)
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2020-05-20 11:46:45 +08:00
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}
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}
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2024-07-23 13:55:45 +08:00
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// refer Snapshot.SignRecently
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func signRecently(idx int, recents map[uint64]int, turnLength int) bool {
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recentSignTimes := 0
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for _, signIdx := range recents {
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if signIdx == idx {
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recentSignTimes += 1
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}
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}
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return recentSignTimes >= turnLength
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}
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// refer Snapshot.minerHistoryCheckLen
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func minerHistoryCheckLen(totalValidators int, turnLength int) uint64 {
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return uint64(totalValidators/2+1)*uint64(turnLength) - 1
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}
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// refer Snapshot.inturnValidator
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func inturnValidator(totalValidators int, turnLength int, height int) int {
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return height / turnLength % totalValidators
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}
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func simulateValidatorOutOfService(totalValidators int, downValidators int, turnLength int) {
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downBlocks := 10000
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recoverBlocks := 10000
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recents := make(map[uint64]int)
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validators := make(map[int]bool, totalValidators)
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down := make([]int, totalValidators)
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for i := 0; i < totalValidators; i++ {
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validators[i] = true
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down[i] = i
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}
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mrand.Shuffle(totalValidators, func(i, j int) {
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2020-05-20 11:46:45 +08:00
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down[i], down[j] = down[j], down[i]
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})
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for i := 0; i < downValidators; i++ {
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delete(validators, down[i])
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}
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isRecentSign := func(idx int) bool {
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return signRecently(idx, recents, turnLength)
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}
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isInService := func(idx int) bool {
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return validators[idx]
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}
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2020-08-07 17:06:29 +08:00
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downDelay := uint64(0)
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2020-05-20 11:46:45 +08:00
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for h := 1; h <= downBlocks; h++ {
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2024-07-23 13:55:45 +08:00
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if limit := minerHistoryCheckLen(totalValidators, turnLength) + 1; uint64(h) >= limit {
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2020-05-20 11:46:45 +08:00
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delete(recents, uint64(h)-limit)
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}
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proposer := inturnValidator(totalValidators, turnLength, h)
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if !isInService(proposer) || isRecentSign(proposer) {
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candidates := make(map[int]bool, totalValidators/2)
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for v := range validators {
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if !isRecentSign(v) {
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candidates[v] = true
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}
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}
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if len(candidates) == 0 {
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panic("can not test such case")
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}
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2020-08-07 17:06:29 +08:00
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idx, delay := producerBlockDelay(candidates, h, totalValidators)
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2020-05-20 11:46:45 +08:00
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downDelay = downDelay + delay
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recents[uint64(h)] = idx
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} else {
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recents[uint64(h)] = proposer
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}
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}
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fmt.Printf("average delay is %v when there is %d validators and %d is down \n",
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downDelay/uint64(downBlocks), totalValidators, downValidators)
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2020-05-20 11:46:45 +08:00
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for i := 0; i < downValidators; i++ {
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validators[down[i]] = true
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}
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2020-08-07 17:06:29 +08:00
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recoverDelay := uint64(0)
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2020-05-20 11:46:45 +08:00
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lastseen := downBlocks
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for h := downBlocks + 1; h <= downBlocks+recoverBlocks; h++ {
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2024-07-23 13:55:45 +08:00
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if limit := minerHistoryCheckLen(totalValidators, turnLength) + 1; uint64(h) >= limit {
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2020-05-20 11:46:45 +08:00
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delete(recents, uint64(h)-limit)
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}
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2024-07-23 13:55:45 +08:00
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proposer := inturnValidator(totalValidators, turnLength, h)
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2020-05-20 11:46:45 +08:00
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if !isInService(proposer) || isRecentSign(proposer) {
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lastseen = h
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candidates := make(map[int]bool, totalValidators/2)
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for v := range validators {
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if !isRecentSign(v) {
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candidates[v] = true
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}
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}
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if len(candidates) == 0 {
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panic("can not test such case")
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}
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idx, delay := producerBlockDelay(candidates, h, totalValidators)
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recoverDelay = recoverDelay + delay
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recents[uint64(h)] = idx
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} else {
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recents[uint64(h)] = proposer
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}
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}
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fmt.Printf("total delay is %v after recover when there is %d validators down ever, last seen not proposer at height %d\n",
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recoverDelay, downValidators, lastseen)
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}
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2020-08-07 17:06:29 +08:00
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func producerBlockDelay(candidates map[int]bool, height, numOfValidators int) (int, uint64) {
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2023-10-24 21:51:30 +08:00
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s := mrand.NewSource(int64(height))
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r := mrand.New(s)
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2020-08-07 17:06:29 +08:00
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n := numOfValidators
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backOffSteps := make([]int, 0, n)
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for idx := 0; idx < n; idx++ {
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backOffSteps = append(backOffSteps, idx)
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}
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r.Shuffle(n, func(i, j int) {
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backOffSteps[i], backOffSteps[j] = backOffSteps[j], backOffSteps[i]
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})
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minDelay := numOfValidators
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minCandidate := 0
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for c := range candidates {
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if minDelay > backOffSteps[c] {
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minDelay = backOffSteps[c]
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minCandidate = c
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2020-05-20 11:46:45 +08:00
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}
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}
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2020-08-07 17:06:29 +08:00
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delay := initialBackOffTime + uint64(minDelay)*wiggleTime
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return minCandidate, delay
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2020-05-20 11:46:45 +08:00
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}
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func randomAddress() common.Address {
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addrBytes := make([]byte, 20)
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rand.Read(addrBytes)
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return common.BytesToAddress(addrBytes)
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}
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2023-04-10 18:36:45 +08:00
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// =========================================================================
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// ======= Simulator P2P network to verify fast finality ============
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// =========================================================================
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type MockBlock struct {
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parent *MockBlock
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blockNumber uint64
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blockHash common.Hash
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coinbase *MockValidator
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td uint64 // Total difficulty from genesis block to current block
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attestation uint64 // Vote attestation for parent block, zero means no attestation
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}
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var GenesisBlock = &MockBlock{
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parent: nil,
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blockNumber: 0,
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blockHash: common.Hash{},
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coinbase: nil,
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td: diffInTurn.Uint64(),
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attestation: 0,
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}
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func (b *MockBlock) Hash() (hash common.Hash) {
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hasher := sha3.NewLegacyKeccak256()
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rlp.Encode(hasher, []interface{}{
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b.parent,
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b.blockNumber,
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b.coinbase,
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b.td,
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b.attestation,
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})
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hasher.Sum(hash[:0])
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return hash
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}
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func (b *MockBlock) IsConflicted(a *MockBlock) bool {
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if a.blockNumber > b.blockNumber {
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p := a.parent
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for ; p.blockNumber > b.blockNumber; p = p.parent {
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}
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return p.blockHash != b.blockHash
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}
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if a.blockNumber < b.blockNumber {
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p := b.parent
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for ; p.blockNumber > a.blockNumber; p = p.parent {
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}
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return p.blockHash != a.blockHash
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}
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return a.blockHash != b.blockHash
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}
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// GetJustifiedNumberAndHash returns number and hash of the highest justified block,
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// keep same func signature with consensus even if `error` will be nil definitely
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func (b *MockBlock) GetJustifiedNumberAndHash() (uint64, common.Hash, error) {
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justifiedBlock := GenesisBlock
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for curBlock := b; curBlock.blockNumber > 1; curBlock = curBlock.parent {
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// justified
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if curBlock.attestation != 0 {
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justifiedBlock = curBlock.parent
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break
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}
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}
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return justifiedBlock.blockNumber, justifiedBlock.blockHash, nil
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}
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func (b *MockBlock) GetJustifiedNumber() uint64 {
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justifiedBlockNumber, _, _ := b.GetJustifiedNumberAndHash()
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return justifiedBlockNumber
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}
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// GetFinalizedBlock returns highest finalized block,
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// include current block's attestation.
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func (b *MockBlock) GetFinalizedBlock() *MockBlock {
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if b.blockNumber < 3 {
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return GenesisBlock
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}
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if b.attestation != 0 && b.parent.attestation != 0 {
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return b.parent.parent
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}
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return b.parent.GetFinalizedBlock()
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}
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type MockValidator struct {
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index int
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validatorSet int // validators number
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head *MockBlock
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voteRecords map[uint64]*types.VoteData
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}
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func NewMockValidator(index int, validatorSet int) *MockValidator {
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v := &MockValidator{
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index: index,
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validatorSet: validatorSet,
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head: GenesisBlock,
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voteRecords: make(map[uint64]*types.VoteData),
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}
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return v
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}
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func (v *MockValidator) SignRecently() bool {
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parent := v.head
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for i := 0; i < v.validatorSet*1/2; i++ {
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if parent.blockNumber == 0 {
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return false
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}
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if parent.coinbase == v {
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return true
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}
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parent = parent.parent
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}
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return false
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}
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func (v *MockValidator) Produce(attestation uint64) (*MockBlock, error) {
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if v.SignRecently() {
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return nil, fmt.Errorf("v %d sign recently", v.index)
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}
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block := &MockBlock{
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parent: v.head,
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blockNumber: v.head.blockNumber + 1,
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coinbase: v,
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td: v.head.td + 1,
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attestation: attestation,
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}
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if (block.blockNumber-1)%uint64(v.validatorSet) == uint64(v.index) {
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block.td = v.head.td + 2
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}
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block.blockHash = block.Hash()
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return block, nil
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}
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func (v *MockValidator) Vote(block *MockBlock) bool {
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// Rule 3: The block should be the latest block of canonical chain
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if block != v.head {
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return false
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}
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// Rule 1: No double vote
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if _, ok := v.voteRecords[block.blockNumber]; ok {
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return false
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}
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// Rule 2: No surround vote
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justifiedBlockNumber, justifiedBlockHash, _ := block.GetJustifiedNumberAndHash()
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for targetNumber := justifiedBlockNumber + 1; targetNumber < block.blockNumber; targetNumber++ {
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if vote, ok := v.voteRecords[targetNumber]; ok {
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if vote.SourceNumber > justifiedBlockNumber {
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return false
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}
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}
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}
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for targetNumber := block.blockNumber; targetNumber <= block.blockNumber+upperLimitOfVoteBlockNumber; targetNumber++ {
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if vote, ok := v.voteRecords[targetNumber]; ok {
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if vote.SourceNumber < justifiedBlockNumber {
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return false
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}
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}
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}
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v.voteRecords[block.blockNumber] = &types.VoteData{
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SourceNumber: justifiedBlockNumber,
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SourceHash: justifiedBlockHash,
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TargetNumber: block.blockNumber,
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TargetHash: block.blockHash,
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}
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return true
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}
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func (v *MockValidator) InsertBlock(block *MockBlock) {
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// Reject block too old.
|
|
|
|
if block.blockNumber+13 < v.head.blockNumber {
|
|
|
|
return
|
|
|
|
}
|
|
|
|
|
|
|
|
// The higher justified block is the longest chain.
|
|
|
|
if block.GetJustifiedNumber() < v.head.GetJustifiedNumber() {
|
|
|
|
return
|
|
|
|
}
|
|
|
|
if block.GetJustifiedNumber() > v.head.GetJustifiedNumber() {
|
|
|
|
v.head = block
|
|
|
|
return
|
|
|
|
}
|
|
|
|
|
|
|
|
// The same finalized number, the larger difficulty is the longest chain.
|
|
|
|
if block.td > v.head.td {
|
|
|
|
v.head = block
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
type BlockSimulator struct {
|
|
|
|
blockNumber uint64
|
|
|
|
coinbaseIndex int
|
|
|
|
voteMap uint64
|
|
|
|
insertMap uint64
|
|
|
|
}
|
|
|
|
|
|
|
|
type ChainSimulator []*BlockSimulator
|
|
|
|
|
|
|
|
func (s ChainSimulator) Valid() bool {
|
|
|
|
var pre *BlockSimulator
|
|
|
|
for index, bs := range s {
|
|
|
|
if index == 0 {
|
|
|
|
if bs.blockNumber != 1 {
|
|
|
|
return false
|
|
|
|
}
|
|
|
|
} else {
|
|
|
|
if bs.blockNumber != pre.blockNumber+1 {
|
|
|
|
return false
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
pre = bs
|
|
|
|
}
|
|
|
|
return true
|
|
|
|
}
|
|
|
|
|
|
|
|
type Coordinator struct {
|
|
|
|
validators []*MockValidator
|
|
|
|
attestations map[common.Hash]uint64
|
|
|
|
}
|
|
|
|
|
|
|
|
func NewCoordinator(validatorsNumber int) *Coordinator {
|
|
|
|
validators := make([]*MockValidator, validatorsNumber)
|
|
|
|
for i := 0; i < validatorsNumber; i++ {
|
|
|
|
validators[i] = NewMockValidator(i, validatorsNumber)
|
|
|
|
}
|
|
|
|
|
|
|
|
return &Coordinator{
|
|
|
|
validators: validators,
|
|
|
|
attestations: make(map[common.Hash]uint64),
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
// SimulateP2P simulate a P2P network
|
|
|
|
func (c *Coordinator) SimulateP2P(cs ChainSimulator) error {
|
|
|
|
for _, bs := range cs {
|
|
|
|
parent := c.validators[bs.coinbaseIndex].head
|
|
|
|
if bs.blockNumber != parent.blockNumber+1 {
|
|
|
|
return fmt.Errorf("can't produce discontinuous block, head block: %d, expect produce: %d", parent.blockNumber, bs.blockNumber)
|
|
|
|
}
|
|
|
|
attestation := c.attestations[parent.blockHash]
|
|
|
|
block, err := c.validators[bs.coinbaseIndex].Produce(attestation)
|
|
|
|
if err != nil {
|
|
|
|
return fmt.Errorf("produce block %v error %v", bs, err)
|
|
|
|
}
|
|
|
|
|
|
|
|
c.PropagateBlock(bs, block)
|
|
|
|
err = c.AggregateVotes(bs, block)
|
|
|
|
if err != nil {
|
|
|
|
return err
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
return nil
|
|
|
|
}
|
|
|
|
|
|
|
|
func (c *Coordinator) AggregateVotes(bs *BlockSimulator, block *MockBlock) error {
|
|
|
|
var attestation uint64
|
|
|
|
count := 0
|
|
|
|
for index, voteMap := 0, bs.voteMap; voteMap > 0; index, voteMap = index+1, voteMap>>1 {
|
|
|
|
if voteMap&0x1 == 0 {
|
|
|
|
continue
|
|
|
|
}
|
|
|
|
|
|
|
|
if !c.validators[index].Vote(block) {
|
|
|
|
return fmt.Errorf("validator(%d) couldn't vote for block %d produced by validator(%d)", index, block.blockNumber, block.coinbase.index)
|
|
|
|
}
|
|
|
|
attestation |= 1 << index
|
|
|
|
count++
|
|
|
|
}
|
|
|
|
|
|
|
|
if count >= cmath.CeilDiv(len(c.validators)*2, 3) {
|
|
|
|
c.attestations[block.blockHash] = attestation
|
|
|
|
}
|
|
|
|
|
|
|
|
return nil
|
|
|
|
}
|
|
|
|
|
|
|
|
func (c *Coordinator) PropagateBlock(bs *BlockSimulator, block *MockBlock) {
|
|
|
|
for index, insertMap := 0, bs.insertMap; insertMap > 0; index, insertMap = index+1, insertMap>>1 {
|
|
|
|
if insertMap&0x1 == 0 {
|
|
|
|
continue
|
|
|
|
}
|
|
|
|
|
|
|
|
c.validators[index].InsertBlock(block)
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
func (c *Coordinator) CheckChain() bool {
|
|
|
|
// All validators highest finalized block should not be conflicted
|
|
|
|
finalizedBlocks := make([]*MockBlock, len(c.validators))
|
|
|
|
for index, val := range c.validators {
|
|
|
|
finalizedBlocks[index] = val.head.GetFinalizedBlock()
|
|
|
|
}
|
|
|
|
|
|
|
|
for i := 0; i < len(finalizedBlocks)-1; i++ {
|
|
|
|
for j := i + 1; j < len(finalizedBlocks); j++ {
|
|
|
|
if finalizedBlocks[i].IsConflicted(finalizedBlocks[j]) {
|
|
|
|
return false
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
return true
|
|
|
|
}
|
|
|
|
|
|
|
|
type TestSimulatorParam struct {
|
|
|
|
validatorsNumber int
|
|
|
|
cs ChainSimulator
|
|
|
|
}
|
|
|
|
|
|
|
|
var simulatorTestcases = []*TestSimulatorParam{
|
|
|
|
{
|
|
|
|
// 3 validators, all active
|
|
|
|
validatorsNumber: 3,
|
|
|
|
cs: []*BlockSimulator{
|
|
|
|
{1, 0, 0x7, 0x7},
|
|
|
|
{2, 1, 0x7, 0x7},
|
|
|
|
{3, 2, 0x7, 0x7},
|
|
|
|
{4, 0, 0x7, 0x7},
|
|
|
|
{5, 1, 0x7, 0x7},
|
|
|
|
},
|
|
|
|
},
|
|
|
|
{
|
|
|
|
// 5 validators, 4 active, 1 down
|
|
|
|
validatorsNumber: 5,
|
|
|
|
cs: []*BlockSimulator{
|
|
|
|
{1, 0, 0x1f, 0x1f},
|
|
|
|
{2, 1, 0x1f, 0x1f},
|
|
|
|
{3, 2, 0x1f, 0x1f},
|
|
|
|
{4, 3, 0x1f, 0x1f},
|
|
|
|
{5, 0, 0x1f, 0x1f},
|
|
|
|
{6, 1, 0x1f, 0x1f},
|
|
|
|
{7, 2, 0x1f, 0x1f},
|
|
|
|
},
|
|
|
|
},
|
|
|
|
{
|
|
|
|
// 21 validators, all active
|
|
|
|
validatorsNumber: 21,
|
|
|
|
cs: []*BlockSimulator{
|
|
|
|
{1, 0, 0x1fffff, 0x1fffff},
|
|
|
|
{2, 1, 0x1fffff, 0x1fffff},
|
|
|
|
{3, 2, 0x1fffff, 0x1fffff},
|
|
|
|
{4, 3, 0x1fffff, 0x1fffff},
|
|
|
|
{5, 4, 0x1fffff, 0x1fffff},
|
|
|
|
{6, 5, 0x1fffff, 0x1fffff},
|
|
|
|
{7, 6, 0x1fffff, 0x1fffff},
|
|
|
|
{8, 7, 0x1fffff, 0x1fffff},
|
|
|
|
{9, 8, 0x1fffff, 0x1fffff},
|
|
|
|
{10, 9, 0x1fffff, 0x1fffff},
|
|
|
|
{11, 10, 0x1fffff, 0x1fffff},
|
|
|
|
{12, 11, 0x1fffff, 0x1fffff},
|
|
|
|
{13, 12, 0x1fffff, 0x1fffff},
|
|
|
|
{14, 13, 0x1fffff, 0x1fffff},
|
|
|
|
{15, 14, 0x1fffff, 0x1fffff},
|
|
|
|
{16, 0, 0x1fffff, 0x1fffff},
|
|
|
|
{17, 1, 0x1fffff, 0x1fffff},
|
|
|
|
{18, 2, 0x1fffff, 0x1fffff},
|
|
|
|
},
|
|
|
|
},
|
|
|
|
{
|
|
|
|
// 21 validators, all active, the finalized fork can keep grow
|
|
|
|
validatorsNumber: 21,
|
|
|
|
cs: []*BlockSimulator{
|
|
|
|
{1, 1, 0x00fffe, 0x00fffe},
|
|
|
|
{2, 2, 0x00fffe, 0x00fffe},
|
|
|
|
{1, 0, 0x1f0001, 0x1fffff},
|
|
|
|
{2, 16, 0x1f0001, 0x1ffff1},
|
|
|
|
{3, 17, 0x1f0001, 0x1ffff1},
|
|
|
|
{4, 18, 0x1f0001, 0x1ffff1},
|
|
|
|
{5, 19, 0x1f0001, 0x1ffff1},
|
|
|
|
{3, 3, 0x00fffe, 0x00fffe}, // justify block 2 and finalize block 1
|
|
|
|
{6, 20, 0x1f0001, 0x1fffff},
|
|
|
|
{4, 4, 0x00fffe, 0x1fffff},
|
|
|
|
{5, 5, 0x00fffe, 0x1fffff},
|
|
|
|
{6, 6, 0x00fffe, 0x1fffff},
|
|
|
|
{7, 7, 0x1fffff, 0x1fffff},
|
|
|
|
{8, 8, 0x1fffff, 0x1fffff},
|
|
|
|
},
|
|
|
|
},
|
|
|
|
{
|
|
|
|
// 21 validators, all active, the finalized fork can keep grow
|
|
|
|
validatorsNumber: 21,
|
|
|
|
cs: []*BlockSimulator{
|
|
|
|
{1, 14, 0x00fffe, 0x00fffe},
|
|
|
|
{2, 15, 0x00fffe, 0x00fffe}, // The block 3 will never produce
|
|
|
|
{1, 0, 0x1f0001, 0x1fffff},
|
|
|
|
{2, 16, 0x1f0001, 0x1fffff},
|
|
|
|
{3, 1, 0x1f0001, 0x1fffff}, // based block produced by 15
|
|
|
|
{4, 2, 0x1f0001, 0x1fffff},
|
|
|
|
{5, 3, 0x1f0001, 0x1fffff},
|
|
|
|
{6, 4, 0x1f0001, 0x1fffff},
|
|
|
|
{7, 5, 0x1f0001, 0x1fffff},
|
|
|
|
{8, 6, 0x1f0001, 0x1fffff},
|
|
|
|
{9, 7, 0x1f0001, 0x1fffff},
|
|
|
|
{10, 8, 0x1f0001, 0x1fffff},
|
|
|
|
{11, 9, 0x1f0001, 0x1fffff},
|
|
|
|
{12, 10, 0x1f0001, 0x1fffff},
|
|
|
|
{13, 11, 0x1f0001, 0x1fffff},
|
|
|
|
{14, 12, 0x1f0001, 0x1fffff},
|
|
|
|
{15, 13, 0x1f0001, 0x1fffff},
|
|
|
|
{16, 14, 0x1f0001, 0x1fffff},
|
|
|
|
{17, 15, 0x1fffff, 0x1fffff}, // begin new round vote
|
|
|
|
{18, 16, 0x1fffff, 0x1fffff}, // attestation for block 17
|
|
|
|
{19, 17, 0x1fffff, 0x1fffff}, // attestation for block 18
|
|
|
|
},
|
|
|
|
},
|
|
|
|
}
|
|
|
|
|
|
|
|
func TestSimulateP2P(t *testing.T) {
|
|
|
|
for index, testcase := range simulatorTestcases {
|
|
|
|
c := NewCoordinator(testcase.validatorsNumber)
|
|
|
|
err := c.SimulateP2P(testcase.cs)
|
|
|
|
if err != nil {
|
|
|
|
t.Fatalf("[Testcase %d] simulate P2P error: %v", index, err)
|
|
|
|
}
|
|
|
|
for _, val := range c.validators {
|
|
|
|
t.Logf("[Testcase %d] validator(%d) head block: %d",
|
|
|
|
index, val.index, val.head.blockNumber)
|
|
|
|
t.Logf("[Testcase %d] validator(%d) highest justified block: %d",
|
|
|
|
index, val.index, val.head.GetJustifiedNumber())
|
|
|
|
t.Logf("[Testcase %d] validator(%d) highest finalized block: %d",
|
|
|
|
index, val.index, val.head.GetFinalizedBlock().blockNumber)
|
|
|
|
}
|
|
|
|
|
|
|
|
if c.CheckChain() == false {
|
|
|
|
t.Fatalf("[Testcase %d] chain not works as expected", index)
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|