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// Copyright 2015 The go-ethereum Authors
// This file is part of the go-ethereum library.
//
// The go-ethereum library is free software: you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// The go-ethereum library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public License
// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.

package core

import (
    "bytes"
    "encoding/binary"
    "encoding/json"
    "errors"
    "fmt"
    "math/big"

    "github.com/ethereum/go-ethereum/common"
    "github.com/ethereum/go-ethereum/core/types"
    "github.com/ethereum/go-ethereum/ethdb"
    "github.com/ethereum/go-ethereum/logger"
    "github.com/ethereum/go-ethereum/logger/glog"
    "github.com/ethereum/go-ethereum/params"
    "github.com/ethereum/go-ethereum/rlp"
)

var (
    headHeaderKey = []byte("LastHeader")
    headBlockKey  = []byte("LastBlock")
    headFastKey   = []byte("LastFast")

    headerPrefix        = []byte("h") // headerPrefix + num (uint64 big endian) + hash -> header
    tdSuffix            = []byte("t") // headerPrefix + num (uint64 big endian) + hash + tdSuffix -> td
    numSuffix           = []byte("n") // headerPrefix + num (uint64 big endian) + numSuffix -> hash
    blockHashPrefix     = []byte("H") // blockHashPrefix + hash -> num (uint64 big endian)
    bodyPrefix          = []byte("b") // bodyPrefix + num (uint64 big endian) + hash -> block body
    blockReceiptsPrefix = []byte("r") // blockReceiptsPrefix + num (uint64 big endian) + hash -> block receipts

    txMetaSuffix   = []byte{0x01}
    receiptsPrefix = []byte("receipts-")

    mipmapPre    = []byte("mipmap-log-bloom-")
    MIPMapLevels = []uint64{1000000, 500000, 100000, 50000, 1000}

    configPrefix = []byte("ethereum-config-") // config prefix for the db

    // used by old (non-sequential keys) db, now only used for conversion
    oldBlockPrefix         = []byte("block-")
    oldHeaderSuffix        = []byte("-header")
    oldTdSuffix            = []byte("-td") // headerPrefix + num (uint64 big endian) + hash + tdSuffix -> td
    oldBodySuffix          = []byte("-body")
    oldBlockNumPrefix      = []byte("block-num-")
    oldBlockReceiptsPrefix = []byte("receipts-block-")
    oldBlockHashPrefix     = []byte("block-hash-") // [deprecated by the header/block split, remove eventually]

    ChainConfigNotFoundErr = errors.New("ChainConfig not found") // general config not found error
)

// encodeBlockNumber encodes a block number as big endian uint64
func encodeBlockNumber(number uint64) []byte {
    enc := make([]byte, 8)
    binary.BigEndian.PutUint64(enc, number)
    return enc
}

// GetCanonicalHash retrieves a hash assigned to a canonical block number.
func GetCanonicalHash(db ethdb.Database, number uint64) common.Hash {
    data, _ := db.Get(append(append(headerPrefix, encodeBlockNumber(number)...), numSuffix...))
    if len(data) == 0 {
        data, _ = db.Get(append(oldBlockNumPrefix, big.NewInt(int64(number)).Bytes()...))
        if len(data) == 0 {
            return common.Hash{}
        }
    }
    return common.BytesToHash(data)
}

// missingNumber is returned by GetBlockNumber if no header with the
// given block hash has been stored in the database
const missingNumber = uint64(0xffffffffffffffff)

// GetBlockNumber returns the block number assigned to a block hash
// if the corresponding header is present in the database
func GetBlockNumber(db ethdb.Database, hash common.Hash) uint64 {
    data, _ := db.Get(append(blockHashPrefix, hash.Bytes()...))
    if len(data) != 8 {
        data, _ := db.Get(append(append(oldBlockPrefix, hash.Bytes()...), oldHeaderSuffix...))
        if len(data) == 0 {
            return missingNumber
        }
        header := new(types.Header)
        if err := rlp.Decode(bytes.NewReader(data), header); err != nil {
            glog.Fatalf("failed to decode block header: %v", err)
        }
        return header.Number.Uint64()
    }
    return binary.BigEndian.Uint64(data)
}

// GetHeadHeaderHash retrieves the hash of the current canonical head block's
// header. The difference between this and GetHeadBlockHash is that whereas the
// last block hash is only updated upon a full block import, the last header
// hash is updated already at header import, allowing head tracking for the
// light synchronization mechanism.
func GetHeadHeaderHash(db ethdb.Database) common.Hash {
    data, _ := db.Get(headHeaderKey)
    if len(data) == 0 {
        return common.Hash{}
    }
    return common.BytesToHash(data)
}

// GetHeadBlockHash retrieves the hash of the current canonical head block.
func GetHeadBlockHash(db ethdb.Database) common.Hash {
    data, _ := db.Get(headBlockKey)
    if len(data) == 0 {
        return common.Hash{}
    }
    return common.BytesToHash(data)
}

// GetHeadFastBlockHash retrieves the hash of the current canonical head block during
// fast synchronization. The difference between this and GetHeadBlockHash is that
// whereas the last block hash is only updated upon a full block import, the last
// fast hash is updated when importing pre-processed blocks.
func GetHeadFastBlockHash(db ethdb.Database) common.Hash {
    data, _ := db.Get(headFastKey)
    if len(data) == 0 {
        return common.Hash{}
    }
    return common.BytesToHash(data)
}

// GetHeaderRLP retrieves a block header in its raw RLP database encoding, or nil
// if the header's not found.
func GetHeaderRLP(db ethdb.Database, hash common.Hash, number uint64) rlp.RawValue {
    data, _ := db.Get(append(append(headerPrefix, encodeBlockNumber(number)...), hash.Bytes()...))
    if len(data) == 0 {
        data, _ = db.Get(append(append(oldBlockPrefix, hash.Bytes()...), oldHeaderSuffix...))
    }
    return data
}

// GetHeader retrieves the block header corresponding to the hash, nil if none
// found.
func GetHeader(db ethdb.Database, hash common.Hash, number uint64) *types.Header {
    data := GetHeaderRLP(db, hash, number)
    if len(data) == 0 {
        return nil
    }
    header := new(types.Header)
    if err := rlp.Decode(bytes.NewReader(data), header); err != nil {
        glog.V(logger.Error).Infof("invalid block header RLP for hash %x: %v", hash, err)
        return nil
    }
    return header
}

// GetBodyRLP retrieves the block body (transactions and uncles) in RLP encoding.
func GetBodyRLP(db ethdb.Database, hash common.Hash, number uint64) rlp.RawValue {
    data, _ := db.Get(append(append(bodyPrefix, encodeBlockNumber(number)...), hash.Bytes()...))
    if len(data) == 0 {
        data, _ = db.Get(append(append(oldBlockPrefix, hash.Bytes()...), oldBodySuffix...))
    }
    return data
}

// GetBody retrieves the block body (transactons, uncles) corresponding to the
// hash, nil if none found.
func GetBody(db ethdb.Database, hash common.Hash, number uint64) *types.Body {
    data := GetBodyRLP(db, hash, number)
    if len(data) == 0 {
        return nil
    }
    body := new(types.Body)
    if err := rlp.Decode(bytes.NewReader(data), body); err != nil {
        glog.V(logger.Error).Infof("invalid block body RLP for hash %x: %v", hash, err)
        return nil
    }
    return body
}

// GetTd retrieves a block's total difficulty corresponding to the hash, nil if
// none found.
func GetTd(db ethdb.Database, hash common.Hash, number uint64) *big.Int {
    data, _ := db.Get(append(append(append(headerPrefix, encodeBlockNumber(number)...), hash[:]...), tdSuffix...))
    if len(data) == 0 {
        data, _ = db.Get(append(append(oldBlockPrefix, hash.Bytes()...), oldTdSuffix...))
        if len(data) == 0 {
            return nil
        }
    }
    td := new(big.Int)
    if err := rlp.Decode(bytes.NewReader(data), td); err != nil {
        glog.V(logger.Error).Infof("invalid block total difficulty RLP for hash %x: %v", hash, err)
        return nil
    }
    return td
}

// GetBlock retrieves an entire block corresponding to the hash, assembling it
// back from the stored header and body. If either the header or body could not
// be retrieved nil is returned.
//
// Note, due to concurrent download of header and block body the header and thus
// canonical hash can be stored in the database but the body data not (yet).
func GetBlock(db ethdb.Database, hash common.Hash, number uint64) *types.Block {
    // Retrieve the block header and body contents
    header := GetHeader(db, hash, number)
    if header == nil {
        return nil
    }
    body := GetBody(db, hash, number)
    if body == nil {
        return nil
    }
    // Reassemble the block and return
    return types.NewBlockWithHeader(header).WithBody(body.Transactions, body.Uncles)
}

// GetBlockReceipts retrieves the receipts generated by the transactions included
// in a block given by its hash.
func GetBlockReceipts(db ethdb.Database, hash common.Hash, number uint64) types.Receipts {
    data, _ := db.Get(append(append(blockReceiptsPrefix, encodeBlockNumber(number)...), hash[:]...))
    if len(data) == 0 {
        data, _ = db.Get(append(oldBlockReceiptsPrefix, hash.Bytes()...))
        if len(data) == 0 {
            return nil
        }
    }
    storageReceipts := []*types.ReceiptForStorage{}
    if err := rlp.DecodeBytes(data, &storageReceipts); err != nil {
        glog.V(logger.Error).Infof("invalid receipt array RLP for hash %x: %v", hash, err)
        return nil
    }
    receipts := make(types.Receipts, len(storageReceipts))
    for i, receipt := range storageReceipts {
        receipts[i] = (*types.Receipt)(receipt)
    }
    return receipts
}

// GetTransaction retrieves a specific transaction from the database, along with
// its added positional metadata.
func GetTransaction(db ethdb.Database, hash common.Hash) (*types.Transaction, common.Hash, uint64, uint64) {
    // Retrieve the transaction itself from the database
    data, _ := db.Get(hash.Bytes())
    if len(data) == 0 {
        return nil, common.Hash{}, 0, 0
    }
    var tx types.Transaction
    if err := rlp.DecodeBytes(data, &tx); err != nil {
        return nil, common.Hash{}, 0, 0
    }
    // Retrieve the blockchain positional metadata
    data, _ = db.Get(append(hash.Bytes(), txMetaSuffix...))
    if len(data) == 0 {
        return nil, common.Hash{}, 0, 0
    }
    var meta struct {
        BlockHash  common.Hash
        BlockIndex uint64
        Index      uint64
    }
    if err := rlp.DecodeBytes(data, &meta); err != nil {
        return nil, common.Hash{}, 0, 0
    }
    return &tx, meta.BlockHash, meta.BlockIndex, meta.Index
}

// GetReceipt returns a receipt by hash
func GetReceipt(db ethdb.Database, txHash common.Hash) *types.Receipt {
    data, _ := db.Get(append(receiptsPrefix, txHash[:]...))
    if len(data) == 0 {
        return nil
    }
    var receipt types.ReceiptForStorage
    err := rlp.DecodeBytes(data, &receipt)
    if err != nil {
        glog.V(logger.Core).Infoln("GetReceipt err:", err)
    }
    return (*types.Receipt)(&receipt)
}

// WriteCanonicalHash stores the canonical hash for the given block number.
func WriteCanonicalHash(db ethdb.Database, hash common.Hash, number uint64) error {
    key := append(append(headerPrefix, encodeBlockNumber(number)...), numSuffix...)
    if err := db.Put(key, hash.Bytes()); err != nil {
        glog.Fatalf("failed to store number to hash mapping into database: %v", err)
    }
    return nil
}

// WriteHeadHeaderHash stores the head header's hash.
func WriteHeadHeaderHash(db ethdb.Database, hash common.Hash) error {
    if err := db.Put(headHeaderKey, hash.Bytes()); err != nil {
        glog.Fatalf("failed to store last header's hash into database: %v", err)
    }
    return nil
}

// WriteHeadBlockHash stores the head block's hash.
func WriteHeadBlockHash(db ethdb.Database, hash common.Hash) error {
    if err := db.Put(headBlockKey, hash.Bytes()); err != nil {
        glog.Fatalf("failed to store last block's hash into database: %v", err)
    }
    return nil
}

// WriteHeadFastBlockHash stores the fast head block's hash.
func WriteHeadFastBlockHash(db ethdb.Database, hash common.Hash) error {
    if err := db.Put(headFastKey, hash.Bytes()); err != nil {
        glog.Fatalf("failed to store last fast block's hash into database: %v", err)
    }
    return nil
}

// WriteHeader serializes a block header into the database.
func WriteHeader(db ethdb.Database, header *types.Header) error {
    data, err := rlp.EncodeToBytes(header)
    if err != nil {
        return err
    }
    hash := header.Hash().Bytes()
    num := header.Number.Uint64()
    encNum := encodeBlockNumber(num)
    key := append(blockHashPrefix, hash...)
    if err := db.Put(key, encNum); err != nil {
        glog.Fatalf("failed to store hash to number mapping into database: %v", err)
    }
    key = append(append(headerPrefix, encNum...), hash...)
    if err := db.Put(key, data); err != nil {
        glog.Fatalf("failed to store header into database: %v", err)
    }
    glog.V(logger.Debug).Infof("stored header #%v [%x…]", header.Number, hash[:4])
    return nil
}

// WriteBody serializes the body of a block into the database.
func WriteBody(db ethdb.Database, hash common.Hash, number uint64, body *types.Body) error {
    data, err := rlp.EncodeToBytes(body)
    if err != nil {
        return err
    }
    return WriteBodyRLP(db, hash, number, data)
}

// WriteBodyRLP writes a serialized body of a block into the database.
func WriteBodyRLP(db ethdb.Database, hash common.Hash, number uint64, rlp rlp.RawValue) error {
    key := append(append(bodyPrefix, encodeBlockNumber(number)...), hash.Bytes()...)
    if err := db.Put(key, rlp); err != nil {
        glog.Fatalf("failed to store block body into database: %v", err)
    }
    glog.V(logger.Debug).Infof("stored block body [%x…]", hash.Bytes()[:4])
    return nil
}

// WriteTd serializes the total difficulty of a block into the database.
func WriteTd(db ethdb.Database, hash common.Hash, number uint64, td *big.Int) error {
    data, err := rlp.EncodeToBytes(td)
    if err != nil {
        return err
    }
    key := append(append(append(headerPrefix, encodeBlockNumber(number)...), hash.Bytes()...), tdSuffix...)
    if err := db.Put(key, data); err != nil {
        glog.Fatalf("failed to store block total difficulty into database: %v", err)
    }
    glog.V(logger.Debug).Infof("stored block total difficulty [%x…]: %v", hash.Bytes()[:4], td)
    return nil
}

// WriteBlock serializes a block into the database, header and body separately.
func WriteBlock(db ethdb.Database, block *types.Block) error {
    // Store the body first to retain database consistency
    if err := WriteBody(db, block.Hash(), block.NumberU64(), block.Body()); err != nil {
        return err
    }
    // Store the header too, signaling full block ownership
    if err := WriteHeader(db, block.Header()); err != nil {
        return err
    }
    return nil
}

// WriteBlockReceipts stores all the transaction receipts belonging to a block
// as a single receipt slice. This is used during chain reorganisations for
// rescheduling dropped transactions.
func WriteBlockReceipts(db ethdb.Database, hash common.Hash, number uint64, receipts types.Receipts) error {
    // Convert the receipts into their storage form and serialize them
    storageReceipts := make([]*types.ReceiptForStorage, len(receipts))
    for i, receipt := range receipts {
        storageReceipts[i] = (*types.ReceiptForStorage)(receipt)
    }
    bytes, err := rlp.EncodeToBytes(storageReceipts)
    if err != nil {
        return err
    }
    // Store the flattened receipt slice
    key := append(append(blockReceiptsPrefix, encodeBlockNumber(number)...), hash.Bytes()...)
    if err := db.Put(key, bytes); err != nil {
        glog.Fatalf("failed to store block receipts into database: %v", err)
    }
    glog.V(logger.Debug).Infof("stored block receipts [%x…]", hash.Bytes()[:4])
    return nil
}

// WriteTransactions stores the transactions associated with a specific block
// into the given database. Beside writing the transaction, the function also
// stores a metadata entry along with the transaction, detailing the position
// of this within the blockchain.
func WriteTransactions(db ethdb.Database, block *types.Block) error {
    batch := db.NewBatch()

    // Iterate over each transaction and encode it with its metadata
    for i, tx := range block.Transactions() {
        // Encode and queue up the transaction for storage
        data, err := rlp.EncodeToBytes(tx)
        if err != nil {
            return err
        }
        if err := batch.Put(tx.Hash().Bytes(), data); err != nil {
            return err
        }
        // Encode and queue up the transaction metadata for storage
        meta := struct {
            BlockHash  common.Hash
            BlockIndex uint64
            Index      uint64
        }{
            BlockHash:  block.Hash(),
            BlockIndex: block.NumberU64(),
            Index:      uint64(i),
        }
        data, err = rlp.EncodeToBytes(meta)
        if err != nil {
            return err
        }
        if err := batch.Put(append(tx.Hash().Bytes(), txMetaSuffix...), data); err != nil {
            return err
        }
    }
    // Write the scheduled data into the database
    if err := batch.Write(); err != nil {
        glog.Fatalf("failed to store transactions into database: %v", err)
    }
    return nil
}

// WriteReceipt stores a single transaction receipt into the database.
func WriteReceipt(db ethdb.Database, receipt *types.Receipt) error {
    storageReceipt := (*types.ReceiptForStorage)(receipt)
    data, err := rlp.EncodeToBytes(storageReceipt)
    if err != nil {
        return err
    }
    return db.Put(append(receiptsPrefix, receipt.TxHash.Bytes()...), data)
}

// WriteReceipts stores a batch of transaction receipts into the database.
func WriteReceipts(db ethdb.Database, receipts types.Receipts) error {
    batch := db.NewBatch()

    // Iterate over all the receipts and queue them for database injection
    for _, receipt := range receipts {
        storageReceipt := (*types.ReceiptForStorage)(receipt)
        data, err := rlp.EncodeToBytes(storageReceipt)
        if err != nil {
            return err
        }
        if err := batch.Put(append(receiptsPrefix, receipt.TxHash.Bytes()...), data); err != nil {
            return err
        }
    }
    // Write the scheduled data into the database
    if err := batch.Write(); err != nil {
        glog.Fatalf("failed to store receipts into database: %v", err)
    }
    return nil
}

// DeleteCanonicalHash removes the number to hash canonical mapping.
func DeleteCanonicalHash(db ethdb.Database, number uint64) {
    db.Delete(append(append(headerPrefix, encodeBlockNumber(number)...), numSuffix...))
}

// DeleteHeader removes all block header data associated with a hash.
func DeleteHeader(db ethdb.Database, hash common.Hash, number uint64) {
    db.Delete(append(blockHashPrefix, hash.Bytes()...))
    db.Delete(append(append(headerPrefix, encodeBlockNumber(number)...), hash.Bytes()...))
}

// DeleteBody removes all block body data associated with a hash.
func DeleteBody(db ethdb.Database, hash common.Hash, number uint64) {
    db.Delete(append(append(bodyPrefix, encodeBlockNumber(number)...), hash.Bytes()...))
}

// DeleteTd removes all block total difficulty data associated with a hash.
func DeleteTd(db ethdb.Database, hash common.Hash, number uint64) {
    db.Delete(append(append(append(headerPrefix, encodeBlockNumber(number)...), hash.Bytes()...), tdSuffix...))
}

// DeleteBlock removes all block data associated with a hash.
func DeleteBlock(db ethdb.Database, hash common.Hash, number uint64) {
    DeleteBlockReceipts(db, hash, number)
    DeleteHeader(db, hash, number)
    DeleteBody(db, hash, number)
    DeleteTd(db, hash, number)
}

// DeleteBlockReceipts removes all receipt data associated with a block hash.
func DeleteBlockReceipts(db ethdb.Database, hash common.Hash, number uint64) {
    db.Delete(append(append(blockReceiptsPrefix, encodeBlockNumber(number)...), hash.Bytes()...))
}

// DeleteTransaction removes all transaction data associated with a hash.
func DeleteTransaction(db ethdb.Database, hash common.Hash) {
    db.Delete(hash.Bytes())
    db.Delete(append(hash.Bytes(), txMetaSuffix...))
}

// DeleteReceipt removes all receipt data associated with a transaction hash.
func DeleteReceipt(db ethdb.Database, hash common.Hash) {
    db.Delete(append(receiptsPrefix, hash.Bytes()...))
}

// [deprecated by the header/block split, remove eventually]
// GetBlockByHashOld returns the old combined block corresponding to the hash
// or nil if not found. This method is only used by the upgrade mechanism to
// access the old combined block representation. It will be dropped after the
// network transitions to eth/63.
func GetBlockByHashOld(db ethdb.Database, hash common.Hash) *types.Block {
    data, _ := db.Get(append(oldBlockHashPrefix, hash[:]...))
    if len(data) == 0 {
        return nil
    }
    var block types.StorageBlock
    if err := rlp.Decode(bytes.NewReader(data), &block); err != nil {
        glog.V(logger.Error).Infof("invalid block RLP for hash %x: %v", hash, err)
        return nil
    }
    return (*types.Block)(&block)
}

// returns a formatted MIP mapped key by adding prefix, canonical number and level
//
// ex. fn(98, 1000) = (prefix || 1000 || 0)
func mipmapKey(num, level uint64) []byte {
    lkey := make([]byte, 8)
    binary.BigEndian.PutUint64(lkey, level)
    key := new(big.Int).SetUint64(num / level * level)

    return append(mipmapPre, append(lkey, key.Bytes()...)...)
}

// WriteMapmapBloom writes each address included in the receipts' logs to the
// MIP bloom bin.
func WriteMipmapBloom(db ethdb.Database, number uint64, receipts types.Receipts) error {
    batch := db.NewBatch()
    for _, level := range MIPMapLevels {
        key := mipmapKey(number, level)
        bloomDat, _ := db.Get(key)
        bloom := types.BytesToBloom(bloomDat)
        for _, receipt := range receipts {
            for _, log := range receipt.Logs {
                bloom.Add(log.Address.Big())
            }
        }
        batch.Put(key, bloom.Bytes())
    }
    if err := batch.Write(); err != nil {
        return fmt.Errorf("mipmap write fail for: %d: %v", number, err)
    }
    return nil
}

// GetMipmapBloom returns a bloom filter using the number and level as input
// parameters. For available levels see MIPMapLevels.
func GetMipmapBloom(db ethdb.Database, number, level uint64) types.Bloom {
    bloomDat, _ := db.Get(mipmapKey(number, level))
    return types.BytesToBloom(bloomDat)
}

// GetBlockChainVersion reads the version number from db.
func GetBlockChainVersion(db ethdb.Database) int {
    var vsn uint
    enc, _ := db.Get([]byte("BlockchainVersion"))
    rlp.DecodeBytes(enc, &vsn)
    return int(vsn)
}

// WriteBlockChainVersion writes vsn as the version number to db.
func WriteBlockChainVersion(db ethdb.Database, vsn int) {
    enc, _ := rlp.EncodeToBytes(uint(vsn))
    db.Put([]byte("BlockchainVersion"), enc)
}

// WriteChainConfig writes the chain config settings to the database.
func WriteChainConfig(db ethdb.Database, hash common.Hash, cfg *params.ChainConfig) error {
    // short circuit and ignore if nil config. GetChainConfig
    // will return a default.
    if cfg == nil {
        return nil
    }

    jsonChainConfig, err := json.Marshal(cfg)
    if err != nil {
        return err
    }

    return db.Put(append(configPrefix, hash[:]...), jsonChainConfig)
}

// GetChainConfig will fetch the network settings based on the given hash.
func GetChainConfig(db ethdb.Database, hash common.Hash) (*params.ChainConfig, error) {
    jsonChainConfig, _ := db.Get(append(configPrefix, hash[:]...))
    if len(jsonChainConfig) == 0 {
        return nil, ChainConfigNotFoundErr
    }

    var config params.ChainConfig
    if err := json.Unmarshal(jsonChainConfig, &config); err != nil {
        return nil, err
    }

    return &config, nil
}

// FindCommonAncestor returns the last common ancestor of two block headers
func FindCommonAncestor(db ethdb.Database, a, b *types.Header) *types.Header {
    for bn := b.Number.Uint64(); a.Number.Uint64() > bn; {
        a = GetHeader(db, a.ParentHash, a.Number.Uint64()-1)
        if a == nil {
            return nil
        }
    }
    for an := a.Number.Uint64(); an < b.Number.Uint64(); {
        b = GetHeader(db, b.ParentHash, b.Number.Uint64()-1)
        if b == nil {
            return nil
        }
    }
    for a.Hash() != b.Hash() {
        a = GetHeader(db, a.ParentHash, a.Number.Uint64()-1)
        if a == nil {
            return nil
        }
        b = GetHeader(db, b.ParentHash, b.Number.Uint64()-1)
        if b == nil {
            return nil
        }
    }
    return a
}