* trie: support non-existent right proof * trie: improve test * trie: minor linter fix Co-authored-by: Péter Szilágyi <peterke@gmail.com>
		
			
				
	
	
		
			583 lines
		
	
	
		
			20 KiB
		
	
	
	
		
			Go
		
	
	
	
	
	
			
		
		
	
	
			583 lines
		
	
	
		
			20 KiB
		
	
	
	
		
			Go
		
	
	
	
	
	
// Copyright 2015 The go-ethereum Authors
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// This file is part of the go-ethereum library.
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//
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// The go-ethereum library is free software: you can redistribute it and/or modify
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// it under the terms of the GNU Lesser General Public License as published by
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// the Free Software Foundation, either version 3 of the License, or
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// (at your option) any later version.
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//
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// The go-ethereum library is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU Lesser General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public License
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// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
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package trie
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import (
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	"bytes"
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	"errors"
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	"fmt"
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	"github.com/ethereum/go-ethereum/common"
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	"github.com/ethereum/go-ethereum/ethdb"
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	"github.com/ethereum/go-ethereum/ethdb/memorydb"
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	"github.com/ethereum/go-ethereum/log"
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	"github.com/ethereum/go-ethereum/rlp"
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)
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// Prove constructs a merkle proof for key. The result contains all encoded nodes
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// on the path to the value at key. The value itself is also included in the last
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// node and can be retrieved by verifying the proof.
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//
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// If the trie does not contain a value for key, the returned proof contains all
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// nodes of the longest existing prefix of the key (at least the root node), ending
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// with the node that proves the absence of the key.
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func (t *Trie) Prove(key []byte, fromLevel uint, proofDb ethdb.KeyValueWriter) error {
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	// Collect all nodes on the path to key.
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	key = keybytesToHex(key)
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	var nodes []node
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	tn := t.root
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	for len(key) > 0 && tn != nil {
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		switch n := tn.(type) {
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		case *shortNode:
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			if len(key) < len(n.Key) || !bytes.Equal(n.Key, key[:len(n.Key)]) {
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				// The trie doesn't contain the key.
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				tn = nil
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			} else {
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				tn = n.Val
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				key = key[len(n.Key):]
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			}
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			nodes = append(nodes, n)
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		case *fullNode:
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			tn = n.Children[key[0]]
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			key = key[1:]
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			nodes = append(nodes, n)
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		case hashNode:
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			var err error
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			tn, err = t.resolveHash(n, nil)
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			if err != nil {
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				log.Error(fmt.Sprintf("Unhandled trie error: %v", err))
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				return err
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			}
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		default:
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			panic(fmt.Sprintf("%T: invalid node: %v", tn, tn))
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		}
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	}
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	hasher := newHasher(false)
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	defer returnHasherToPool(hasher)
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	for i, n := range nodes {
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		if fromLevel > 0 {
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			fromLevel--
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			continue
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		}
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		var hn node
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		n, hn = hasher.proofHash(n)
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		if hash, ok := hn.(hashNode); ok || i == 0 {
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			// If the node's database encoding is a hash (or is the
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			// root node), it becomes a proof element.
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			enc, _ := rlp.EncodeToBytes(n)
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			if !ok {
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				hash = hasher.hashData(enc)
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			}
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			proofDb.Put(hash, enc)
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		}
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	}
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	return nil
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}
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// Prove constructs a merkle proof for key. The result contains all encoded nodes
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// on the path to the value at key. The value itself is also included in the last
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// node and can be retrieved by verifying the proof.
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//
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// If the trie does not contain a value for key, the returned proof contains all
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// nodes of the longest existing prefix of the key (at least the root node), ending
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// with the node that proves the absence of the key.
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func (t *SecureTrie) Prove(key []byte, fromLevel uint, proofDb ethdb.KeyValueWriter) error {
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	return t.trie.Prove(key, fromLevel, proofDb)
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}
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// VerifyProof checks merkle proofs. The given proof must contain the value for
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// key in a trie with the given root hash. VerifyProof returns an error if the
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// proof contains invalid trie nodes or the wrong value.
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func VerifyProof(rootHash common.Hash, key []byte, proofDb ethdb.KeyValueReader) (value []byte, err error) {
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	key = keybytesToHex(key)
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	wantHash := rootHash
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	for i := 0; ; i++ {
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		buf, _ := proofDb.Get(wantHash[:])
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		if buf == nil {
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			return nil, fmt.Errorf("proof node %d (hash %064x) missing", i, wantHash)
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		}
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		n, err := decodeNode(wantHash[:], buf)
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		if err != nil {
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			return nil, fmt.Errorf("bad proof node %d: %v", i, err)
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		}
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		keyrest, cld := get(n, key, true)
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		switch cld := cld.(type) {
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		case nil:
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			// The trie doesn't contain the key.
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			return nil, nil
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		case hashNode:
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			key = keyrest
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			copy(wantHash[:], cld)
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		case valueNode:
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			return cld, nil
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		}
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	}
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}
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// proofToPath converts a merkle proof to trie node path. The main purpose of
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// this function is recovering a node path from the merkle proof stream. All
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// necessary nodes will be resolved and leave the remaining as hashnode.
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//
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// The given edge proof is allowed to be an existent or non-existent proof.
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func proofToPath(rootHash common.Hash, root node, key []byte, proofDb ethdb.KeyValueReader, allowNonExistent bool) (node, []byte, error) {
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	// resolveNode retrieves and resolves trie node from merkle proof stream
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	resolveNode := func(hash common.Hash) (node, error) {
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		buf, _ := proofDb.Get(hash[:])
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		if buf == nil {
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			return nil, fmt.Errorf("proof node (hash %064x) missing", hash)
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		}
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		n, err := decodeNode(hash[:], buf)
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		if err != nil {
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			return nil, fmt.Errorf("bad proof node %v", err)
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		}
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		return n, err
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	}
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	// If the root node is empty, resolve it first.
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	// Root node must be included in the proof.
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	if root == nil {
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		n, err := resolveNode(rootHash)
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		if err != nil {
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			return nil, nil, err
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		}
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		root = n
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	}
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	var (
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		err           error
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		child, parent node
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		keyrest       []byte
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		valnode       []byte
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	)
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	key, parent = keybytesToHex(key), root
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	for {
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		keyrest, child = get(parent, key, false)
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		switch cld := child.(type) {
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		case nil:
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			// The trie doesn't contain the key. It's possible
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			// the proof is a non-existing proof, but at least
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			// we can prove all resolved nodes are correct, it's
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			// enough for us to prove range.
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			if allowNonExistent {
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				return root, nil, nil
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			}
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			return nil, nil, errors.New("the node is not contained in trie")
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		case *shortNode:
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			key, parent = keyrest, child // Already resolved
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			continue
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		case *fullNode:
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			key, parent = keyrest, child // Already resolved
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			continue
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		case hashNode:
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			child, err = resolveNode(common.BytesToHash(cld))
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			if err != nil {
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				return nil, nil, err
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			}
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		case valueNode:
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			valnode = cld
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		}
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		// Link the parent and child.
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		switch pnode := parent.(type) {
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		case *shortNode:
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			pnode.Val = child
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		case *fullNode:
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			pnode.Children[key[0]] = child
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		default:
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			panic(fmt.Sprintf("%T: invalid node: %v", pnode, pnode))
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		}
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		if len(valnode) > 0 {
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			return root, valnode, nil // The whole path is resolved
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		}
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		key, parent = keyrest, child
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	}
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}
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// unsetInternal removes all internal node references(hashnode, embedded node).
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// It should be called after a trie is constructed with two edge paths. Also
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// the given boundary keys must be the one used to construct the edge paths.
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//
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// It's the key step for range proof. All visited nodes should be marked dirty
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// since the node content might be modified. Besides it can happen that some
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// fullnodes only have one child which is disallowed. But if the proof is valid,
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// the missing children will be filled, otherwise it will be thrown anyway.
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//
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// Note we have the assumption here the given boundary keys are different
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// and right is larger than left.
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func unsetInternal(n node, left []byte, right []byte) error {
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	left, right = keybytesToHex(left), keybytesToHex(right)
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	// Step down to the fork point. There are two scenarios can happen:
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	// - the fork point is a shortnode: either the key of left proof or
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	//   right proof doesn't match with shortnode's key.
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	// - the fork point is a fullnode: both two edge proofs are allowed
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	//   to point to a non-existent key.
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	var (
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		pos    = 0
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		parent node
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		// fork indicator, 0 means no fork, -1 means proof is less, 1 means proof is greater
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		shortForkLeft, shortForkRight int
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	)
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findFork:
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	for {
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		switch rn := (n).(type) {
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		case *shortNode:
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			rn.flags = nodeFlag{dirty: true}
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			// If either the key of left proof or right proof doesn't match with
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			// shortnode, stop here and the forkpoint is the shortnode.
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			if len(left)-pos < len(rn.Key) {
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				shortForkLeft = bytes.Compare(left[pos:], rn.Key)
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			} else {
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				shortForkLeft = bytes.Compare(left[pos:pos+len(rn.Key)], rn.Key)
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			}
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			if len(right)-pos < len(rn.Key) {
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				shortForkRight = bytes.Compare(right[pos:], rn.Key)
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			} else {
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				shortForkRight = bytes.Compare(right[pos:pos+len(rn.Key)], rn.Key)
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			}
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			if shortForkLeft != 0 || shortForkRight != 0 {
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				break findFork
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			}
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			parent = n
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			n, pos = rn.Val, pos+len(rn.Key)
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		case *fullNode:
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			rn.flags = nodeFlag{dirty: true}
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			// If either the node pointed by left proof or right proof is nil,
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			// stop here and the forkpoint is the fullnode.
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			leftnode, rightnode := rn.Children[left[pos]], rn.Children[right[pos]]
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			if leftnode == nil || rightnode == nil || leftnode != rightnode {
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				break findFork
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			}
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			parent = n
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			n, pos = rn.Children[left[pos]], pos+1
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		default:
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			panic(fmt.Sprintf("%T: invalid node: %v", n, n))
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		}
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	}
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	switch rn := n.(type) {
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	case *shortNode:
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		// There can have these five scenarios:
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		// - both proofs are less than the trie path => no valid range
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		// - both proofs are greater than the trie path => no valid range
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		// - left proof is less and right proof is greater => valid range, unset the shortnode entirely
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		// - left proof points to the shortnode, but right proof is greater
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		// - right proof points to the shortnode, but left proof is less
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		if shortForkLeft == -1 && shortForkRight == -1 {
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			return errors.New("empty range")
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		}
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		if shortForkLeft == 1 && shortForkRight == 1 {
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			return errors.New("empty range")
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		}
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		if shortForkLeft != 0 && shortForkRight != 0 {
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			parent.(*fullNode).Children[left[pos-1]] = nil
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			return nil
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		}
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		// Only one proof points to non-existent key.
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		if shortForkRight != 0 {
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			// Unset left proof's path
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			if _, ok := rn.Val.(valueNode); ok {
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				parent.(*fullNode).Children[left[pos-1]] = nil
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				return nil
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			}
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			return unset(rn, rn.Val, left[pos:], len(rn.Key), false)
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		}
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		if shortForkLeft != 0 {
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			// Unset right proof's path.
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			if _, ok := rn.Val.(valueNode); ok {
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				parent.(*fullNode).Children[right[pos-1]] = nil
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				return nil
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			}
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			return unset(rn, rn.Val, right[pos:], len(rn.Key), true)
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		}
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		return nil
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	case *fullNode:
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		// unset all internal nodes in the forkpoint
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		for i := left[pos] + 1; i < right[pos]; i++ {
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			rn.Children[i] = nil
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		}
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		if err := unset(rn, rn.Children[left[pos]], left[pos:], 1, false); err != nil {
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			return err
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		}
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		if err := unset(rn, rn.Children[right[pos]], right[pos:], 1, true); err != nil {
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			return err
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		}
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		return nil
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	default:
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		panic(fmt.Sprintf("%T: invalid node: %v", n, n))
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	}
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}
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// unset removes all internal node references either the left most or right most.
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// It can meet these scenarios:
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//
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// - The given path is existent in the trie, unset the associated nodes with the
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//   specific direction
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// - The given path is non-existent in the trie
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//   - the fork point is a fullnode, the corresponding child pointed by path
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//     is nil, return
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//   - the fork point is a shortnode, the shortnode is included in the range,
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//     keep the entire branch and return.
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//   - the fork point is a shortnode, the shortnode is excluded in the range,
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//     unset the entire branch.
 | 
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func unset(parent node, child node, key []byte, pos int, removeLeft bool) error {
 | 
						|
	switch cld := child.(type) {
 | 
						|
	case *fullNode:
 | 
						|
		if removeLeft {
 | 
						|
			for i := 0; i < int(key[pos]); i++ {
 | 
						|
				cld.Children[i] = nil
 | 
						|
			}
 | 
						|
			cld.flags = nodeFlag{dirty: true}
 | 
						|
		} else {
 | 
						|
			for i := key[pos] + 1; i < 16; i++ {
 | 
						|
				cld.Children[i] = nil
 | 
						|
			}
 | 
						|
			cld.flags = nodeFlag{dirty: true}
 | 
						|
		}
 | 
						|
		return unset(cld, cld.Children[key[pos]], key, pos+1, removeLeft)
 | 
						|
	case *shortNode:
 | 
						|
		if len(key[pos:]) < len(cld.Key) || !bytes.Equal(cld.Key, key[pos:pos+len(cld.Key)]) {
 | 
						|
			// Find the fork point, it's an non-existent branch.
 | 
						|
			if removeLeft {
 | 
						|
				if bytes.Compare(cld.Key, key[pos:]) < 0 {
 | 
						|
					// The key of fork shortnode is less than the path
 | 
						|
					// (it belongs to the range), unset the entrie
 | 
						|
					// branch. The parent must be a fullnode.
 | 
						|
					fn := parent.(*fullNode)
 | 
						|
					fn.Children[key[pos-1]] = nil
 | 
						|
				} else {
 | 
						|
					// The key of fork shortnode is greater than the
 | 
						|
					// path(it doesn't belong to the range), keep
 | 
						|
					// it with the cached hash available.
 | 
						|
				}
 | 
						|
			} else {
 | 
						|
				if bytes.Compare(cld.Key, key[pos:]) > 0 {
 | 
						|
					// The key of fork shortnode is greater than the
 | 
						|
					// path(it belongs to the range), unset the entrie
 | 
						|
					// branch. The parent must be a fullnode.
 | 
						|
					fn := parent.(*fullNode)
 | 
						|
					fn.Children[key[pos-1]] = nil
 | 
						|
				} else {
 | 
						|
					// The key of fork shortnode is less than the
 | 
						|
					// path(it doesn't belong to the range), keep
 | 
						|
					// it with the cached hash available.
 | 
						|
				}
 | 
						|
			}
 | 
						|
			return nil
 | 
						|
		}
 | 
						|
		if _, ok := cld.Val.(valueNode); ok {
 | 
						|
			fn := parent.(*fullNode)
 | 
						|
			fn.Children[key[pos-1]] = nil
 | 
						|
			return nil
 | 
						|
		}
 | 
						|
		cld.flags = nodeFlag{dirty: true}
 | 
						|
		return unset(cld, cld.Val, key, pos+len(cld.Key), removeLeft)
 | 
						|
	case nil:
 | 
						|
		// If the node is nil, then it's a child of the fork point
 | 
						|
		// fullnode(it's a non-existent branch).
 | 
						|
		return nil
 | 
						|
	default:
 | 
						|
		panic("it shouldn't happen") // hashNode, valueNode
 | 
						|
	}
 | 
						|
}
 | 
						|
 | 
						|
// hasRightElement returns the indicator whether there exists more elements
 | 
						|
// in the right side of the given path. The given path can point to an existent
 | 
						|
// key or a non-existent one. This function has the assumption that the whole
 | 
						|
// path should already be resolved.
 | 
						|
func hasRightElement(node node, key []byte) bool {
 | 
						|
	pos, key := 0, keybytesToHex(key)
 | 
						|
	for node != nil {
 | 
						|
		switch rn := node.(type) {
 | 
						|
		case *fullNode:
 | 
						|
			for i := key[pos] + 1; i < 16; i++ {
 | 
						|
				if rn.Children[i] != nil {
 | 
						|
					return true
 | 
						|
				}
 | 
						|
			}
 | 
						|
			node, pos = rn.Children[key[pos]], pos+1
 | 
						|
		case *shortNode:
 | 
						|
			if len(key)-pos < len(rn.Key) || !bytes.Equal(rn.Key, key[pos:pos+len(rn.Key)]) {
 | 
						|
				return bytes.Compare(rn.Key, key[pos:]) > 0
 | 
						|
			}
 | 
						|
			node, pos = rn.Val, pos+len(rn.Key)
 | 
						|
		case valueNode:
 | 
						|
			return false // We have resolved the whole path
 | 
						|
		default:
 | 
						|
			panic(fmt.Sprintf("%T: invalid node: %v", node, node)) // hashnode
 | 
						|
		}
 | 
						|
	}
 | 
						|
	return false
 | 
						|
}
 | 
						|
 | 
						|
// VerifyRangeProof checks whether the given leaf nodes and edge proof
 | 
						|
// can prove the given trie leaves range is matched with the specific root.
 | 
						|
// Besides, the range should be consecutive(no gap inside) and monotonic
 | 
						|
// increasing.
 | 
						|
//
 | 
						|
// Note the given proof actually contains two edge proofs. Both of them can
 | 
						|
// be non-existent proofs. For example the first proof is for a non-existent
 | 
						|
// key 0x03, the last proof is for a non-existent key 0x10. The given batch
 | 
						|
// leaves are [0x04, 0x05, .. 0x09]. It's still feasible to prove the given
 | 
						|
// batch is valid.
 | 
						|
//
 | 
						|
// The firstKey is paired with firstProof, not necessarily the same as keys[0]
 | 
						|
// (unless firstProof is an existent proof). Similarly, lastKey and lastProof
 | 
						|
// are paired.
 | 
						|
//
 | 
						|
// Expect the normal case, this function can also be used to verify the following
 | 
						|
// range proofs:
 | 
						|
//
 | 
						|
// - All elements proof. In this case the proof can be nil, but the range should
 | 
						|
//   be all the leaves in the trie.
 | 
						|
//
 | 
						|
// - One element proof. In this case no matter the edge proof is a non-existent
 | 
						|
//   proof or not, we can always verify the correctness of the proof.
 | 
						|
//
 | 
						|
// - Zero element proof. In this case a single non-existent proof is enough to prove.
 | 
						|
//   Besides, if there are still some other leaves available on the right side, then
 | 
						|
//   an error will be returned.
 | 
						|
//
 | 
						|
// Except returning the error to indicate the proof is valid or not, the function will
 | 
						|
// also return a flag to indicate whether there exists more accounts/slots in the trie.
 | 
						|
func VerifyRangeProof(rootHash common.Hash, firstKey []byte, lastKey []byte, keys [][]byte, values [][]byte, proof ethdb.KeyValueReader) (error, bool) {
 | 
						|
	if len(keys) != len(values) {
 | 
						|
		return fmt.Errorf("inconsistent proof data, keys: %d, values: %d", len(keys), len(values)), false
 | 
						|
	}
 | 
						|
	// Ensure the received batch is monotonic increasing.
 | 
						|
	for i := 0; i < len(keys)-1; i++ {
 | 
						|
		if bytes.Compare(keys[i], keys[i+1]) >= 0 {
 | 
						|
			return errors.New("range is not monotonically increasing"), false
 | 
						|
		}
 | 
						|
	}
 | 
						|
	// Special case, there is no edge proof at all. The given range is expected
 | 
						|
	// to be the whole leaf-set in the trie.
 | 
						|
	if proof == nil {
 | 
						|
		emptytrie, err := New(common.Hash{}, NewDatabase(memorydb.New()))
 | 
						|
		if err != nil {
 | 
						|
			return err, false
 | 
						|
		}
 | 
						|
		for index, key := range keys {
 | 
						|
			emptytrie.TryUpdate(key, values[index])
 | 
						|
		}
 | 
						|
		if emptytrie.Hash() != rootHash {
 | 
						|
			return fmt.Errorf("invalid proof, want hash %x, got %x", rootHash, emptytrie.Hash()), false
 | 
						|
		}
 | 
						|
		return nil, false // no more element.
 | 
						|
	}
 | 
						|
	// Special case, there is a provided edge proof but zero key/value
 | 
						|
	// pairs, ensure there are no more accounts / slots in the trie.
 | 
						|
	if len(keys) == 0 {
 | 
						|
		root, val, err := proofToPath(rootHash, nil, firstKey, proof, true)
 | 
						|
		if err != nil {
 | 
						|
			return err, false
 | 
						|
		}
 | 
						|
		if val != nil || hasRightElement(root, firstKey) {
 | 
						|
			return errors.New("more entries available"), false
 | 
						|
		}
 | 
						|
		return nil, false
 | 
						|
	}
 | 
						|
	// Special case, there is only one element and two edge keys are same.
 | 
						|
	// In this case, we can't construct two edge paths. So handle it here.
 | 
						|
	if len(keys) == 1 && bytes.Equal(firstKey, lastKey) {
 | 
						|
		root, val, err := proofToPath(rootHash, nil, firstKey, proof, false)
 | 
						|
		if err != nil {
 | 
						|
			return err, false
 | 
						|
		}
 | 
						|
		if !bytes.Equal(firstKey, keys[0]) {
 | 
						|
			return errors.New("correct proof but invalid key"), false
 | 
						|
		}
 | 
						|
		if !bytes.Equal(val, values[0]) {
 | 
						|
			return errors.New("correct proof but invalid data"), false
 | 
						|
		}
 | 
						|
		return nil, hasRightElement(root, firstKey)
 | 
						|
	}
 | 
						|
	// Ok, in all other cases, we require two edge paths available.
 | 
						|
	// First check the validity of edge keys.
 | 
						|
	if bytes.Compare(firstKey, lastKey) >= 0 {
 | 
						|
		return errors.New("invalid edge keys"), false
 | 
						|
	}
 | 
						|
	// todo(rjl493456442) different length edge keys should be supported
 | 
						|
	if len(firstKey) != len(lastKey) {
 | 
						|
		return errors.New("inconsistent edge keys"), false
 | 
						|
	}
 | 
						|
	// Convert the edge proofs to edge trie paths. Then we can
 | 
						|
	// have the same tree architecture with the original one.
 | 
						|
	// For the first edge proof, non-existent proof is allowed.
 | 
						|
	root, _, err := proofToPath(rootHash, nil, firstKey, proof, true)
 | 
						|
	if err != nil {
 | 
						|
		return err, false
 | 
						|
	}
 | 
						|
	// Pass the root node here, the second path will be merged
 | 
						|
	// with the first one. For the last edge proof, non-existent
 | 
						|
	// proof is also allowed.
 | 
						|
	root, _, err = proofToPath(rootHash, root, lastKey, proof, true)
 | 
						|
	if err != nil {
 | 
						|
		return err, false
 | 
						|
	}
 | 
						|
	// Remove all internal references. All the removed parts should
 | 
						|
	// be re-filled(or re-constructed) by the given leaves range.
 | 
						|
	if err := unsetInternal(root, firstKey, lastKey); err != nil {
 | 
						|
		return err, false
 | 
						|
	}
 | 
						|
	// Rebuild the trie with the leave stream, the shape of trie
 | 
						|
	// should be same with the original one.
 | 
						|
	newtrie := &Trie{root: root, db: NewDatabase(memorydb.New())}
 | 
						|
	for index, key := range keys {
 | 
						|
		newtrie.TryUpdate(key, values[index])
 | 
						|
	}
 | 
						|
	if newtrie.Hash() != rootHash {
 | 
						|
		return fmt.Errorf("invalid proof, want hash %x, got %x", rootHash, newtrie.Hash()), false
 | 
						|
	}
 | 
						|
	return nil, hasRightElement(root, keys[len(keys)-1])
 | 
						|
}
 | 
						|
 | 
						|
// get returns the child of the given node. Return nil if the
 | 
						|
// node with specified key doesn't exist at all.
 | 
						|
//
 | 
						|
// There is an additional flag `skipResolved`. If it's set then
 | 
						|
// all resolved nodes won't be returned.
 | 
						|
func get(tn node, key []byte, skipResolved bool) ([]byte, node) {
 | 
						|
	for {
 | 
						|
		switch n := tn.(type) {
 | 
						|
		case *shortNode:
 | 
						|
			if len(key) < len(n.Key) || !bytes.Equal(n.Key, key[:len(n.Key)]) {
 | 
						|
				return nil, nil
 | 
						|
			}
 | 
						|
			tn = n.Val
 | 
						|
			key = key[len(n.Key):]
 | 
						|
			if !skipResolved {
 | 
						|
				return key, tn
 | 
						|
			}
 | 
						|
		case *fullNode:
 | 
						|
			tn = n.Children[key[0]]
 | 
						|
			key = key[1:]
 | 
						|
			if !skipResolved {
 | 
						|
				return key, tn
 | 
						|
			}
 | 
						|
		case hashNode:
 | 
						|
			return key, n
 | 
						|
		case nil:
 | 
						|
			return key, nil
 | 
						|
		case valueNode:
 | 
						|
			return nil, n
 | 
						|
		default:
 | 
						|
			panic(fmt.Sprintf("%T: invalid node: %v", tn, tn))
 | 
						|
		}
 | 
						|
	}
 | 
						|
}
 |