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@ -7,18 +7,18 @@ the tree the same size, but the left may be one greater. |
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Use this for short deterministic trees, such as the validator list. |
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For larger datasets, use IAVLTree. |
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* |
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/ \ |
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/ \ |
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/ \ |
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/ \ |
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* * |
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/ \ / \ |
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/ \ / \ |
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/ \ / \ |
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* * * h6 |
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/ \ / \ / \ |
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h0 h1 h2 h3 h4 h5 |
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* |
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/ \ |
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/ \ |
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/ \ |
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/ \ |
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* * |
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/ \ / \ |
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/ \ / \ |
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/ \ / \ |
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* * * h6 |
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/ \ / \ / \ |
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h0 h1 h2 h3 h4 h5 |
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*/ |
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@ -31,7 +31,7 @@ import ( |
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"github.com/tendermint/tendermint/binary" |
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) |
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func HashFromTwoHashes(left []byte, right []byte) []byte { |
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func SimpleHashFromTwoHashes(left []byte, right []byte) []byte { |
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var n int64 |
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var err error |
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var hasher = sha256.New() |
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@ -43,7 +43,7 @@ func HashFromTwoHashes(left []byte, right []byte) []byte { |
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return hasher.Sum(nil) |
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} |
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func HashFromHashes(hashes [][]byte) []byte { |
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func SimpleHashFromHashes(hashes [][]byte) []byte { |
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// Recursive impl.
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switch len(hashes) { |
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case 0: |
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@ -51,23 +51,23 @@ func HashFromHashes(hashes [][]byte) []byte { |
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case 1: |
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return hashes[0] |
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default: |
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left := HashFromHashes(hashes[:(len(hashes)+1)/2]) |
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right := HashFromHashes(hashes[(len(hashes)+1)/2:]) |
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return HashFromTwoHashes(left, right) |
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left := SimpleHashFromHashes(hashes[:(len(hashes)+1)/2]) |
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right := SimpleHashFromHashes(hashes[(len(hashes)+1)/2:]) |
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return SimpleHashFromTwoHashes(left, right) |
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} |
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} |
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// Convenience for HashFromHashes.
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func HashFromBinaries(items []interface{}) []byte { |
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// Convenience for SimpleHashFromHashes.
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func SimpleHashFromBinaries(items []interface{}) []byte { |
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hashes := [][]byte{} |
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for _, item := range items { |
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hashes = append(hashes, HashFromBinary(item)) |
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hashes = append(hashes, SimpleHashFromBinary(item)) |
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} |
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return HashFromHashes(hashes) |
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return SimpleHashFromHashes(hashes) |
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} |
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// General Convenience
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func HashFromBinary(item interface{}) []byte { |
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func SimpleHashFromBinary(item interface{}) []byte { |
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hasher, n, err := sha256.New(), new(int64), new(error) |
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binary.WriteBinary(item, hasher, n, err) |
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if *err != nil { |
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@ -76,103 +76,146 @@ func HashFromBinary(item interface{}) []byte { |
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return hasher.Sum(nil) |
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} |
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// Convenience for HashFromHashes.
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func HashFromHashables(items []Hashable) []byte { |
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// Convenience for SimpleHashFromHashes.
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func SimpleHashFromHashables(items []Hashable) []byte { |
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hashes := [][]byte{} |
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for _, item := range items { |
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hash := item.Hash() |
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hashes = append(hashes, hash) |
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} |
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return HashFromHashes(hashes) |
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return SimpleHashFromHashes(hashes) |
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} |
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type HashTrail struct { |
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Hash []byte |
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Parent *HashTrail |
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Left *HashTrail |
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Right *HashTrail |
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//--------------------------------------------------------------------------------
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type SimpleProof struct { |
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Index uint |
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Total uint |
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LeafHash []byte |
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InnerHashes [][]byte // Hashes from leaf's sibling to a root's child.
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RootHash []byte |
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} |
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func (ht *HashTrail) Flatten() [][]byte { |
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// Nonrecursive impl.
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trail := [][]byte{} |
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for ht != nil { |
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if ht.Left != nil { |
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trail = append(trail, ht.Left.Hash) |
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} else if ht.Right != nil { |
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trail = append(trail, ht.Right.Hash) |
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} else { |
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break |
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// proofs[0] is the proof for items[0].
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func SimpleProofsFromHashables(items []Hashable) (proofs []*SimpleProof) { |
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trails, root := trailsFromHashables(items) |
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proofs = make([]*SimpleProof, len(items)) |
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for i, trail := range trails { |
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proofs[i] = &SimpleProof{ |
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Index: uint(i), |
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Total: uint(len(items)), |
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LeafHash: trail.Hash, |
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InnerHashes: trail.FlattenInnerHashes(), |
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RootHash: root.Hash, |
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} |
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ht = ht.Parent |
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} |
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return trail |
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return |
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} |
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// returned trails[0].Hash is the leaf hash.
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// trails[0].Parent.Hash is the hash above that, etc.
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func HashTrailsFromHashables(items []Hashable) (trails []*HashTrail, root *HashTrail) { |
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// Recursive impl.
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switch len(items) { |
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case 0: |
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return nil, nil |
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case 1: |
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trail := &HashTrail{items[0].Hash(), nil, nil, nil} |
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return []*HashTrail{trail}, trail |
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default: |
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lefts, leftRoot := HashTrailsFromHashables(items[:(len(items)+1)/2]) |
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rights, rightRoot := HashTrailsFromHashables(items[(len(items)+1)/2:]) |
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rootHash := HashFromTwoHashes(leftRoot.Hash, rightRoot.Hash) |
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root := &HashTrail{rootHash, nil, nil, nil} |
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leftRoot.Parent = root |
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leftRoot.Right = rightRoot |
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rightRoot.Parent = root |
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rightRoot.Left = leftRoot |
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return append(lefts, rights...), root |
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// Verify that leafHash is a leaf hash of the simple-merkle-tree
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// which hashes to rootHash.
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func (sp *SimpleProof) Verify(leafHash []byte, rootHash []byte) bool { |
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if !bytes.Equal(leafHash, sp.LeafHash) { |
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return false |
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} |
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} |
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// Ensures that leafHash is part of rootHash.
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func VerifyHashTrail(index uint, total uint, leafHash []byte, trail [][]byte, rootHash []byte) bool { |
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computedRoot := ComputeRootFromTrail(index, total, leafHash, trail) |
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if computedRoot == nil { |
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if !bytes.Equal(rootHash, sp.RootHash) { |
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return false |
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} |
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computedHash := computeHashFromInnerHashes(sp.Index, sp.Total, sp.LeafHash, sp.InnerHashes) |
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if computedHash == nil { |
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return false |
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} |
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return bytes.Equal(computedRoot, rootHash) |
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if !bytes.Equal(computedHash, rootHash) { |
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return false |
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} |
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return true |
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} |
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// Use the leafHash and trail to get the root merkle hash.
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// If the length of the trail slice isn't exactly correct, the result is nil.
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func ComputeRootFromTrail(index uint, total uint, leafHash []byte, trail [][]byte) []byte { |
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// Use the leafHash and innerHashes to get the root merkle hash.
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// If the length of the innerHashes slice isn't exactly correct, the result is nil.
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func computeHashFromInnerHashes(index uint, total uint, leafHash []byte, innerHashes [][]byte) []byte { |
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// Recursive impl.
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if index >= total { |
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return nil |
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} |
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switch total { |
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case 0: |
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panic("Cannot call ComputeRootFromTrail() with 0 total") |
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panic("Cannot call computeHashFromInnerHashes() with 0 total") |
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case 1: |
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if len(trail) != 0 { |
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if len(innerHashes) != 0 { |
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return nil |
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} |
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return leafHash |
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default: |
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if len(trail) == 0 { |
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if len(innerHashes) == 0 { |
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return nil |
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} |
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numLeft := (total + 1) / 2 |
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if index < numLeft { |
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leftRoot := ComputeRootFromTrail(index, numLeft, leafHash, trail[:len(trail)-1]) |
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if leftRoot == nil { |
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leftHash := computeHashFromInnerHashes(index, numLeft, leafHash, innerHashes[:len(innerHashes)-1]) |
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if leftHash == nil { |
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return nil |
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} |
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return HashFromTwoHashes(leftRoot, trail[len(trail)-1]) |
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return SimpleHashFromTwoHashes(leftHash, innerHashes[len(innerHashes)-1]) |
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} else { |
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rightRoot := ComputeRootFromTrail(index-numLeft, total-numLeft, leafHash, trail[:len(trail)-1]) |
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if rightRoot == nil { |
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rightHash := computeHashFromInnerHashes(index-numLeft, total-numLeft, leafHash, innerHashes[:len(innerHashes)-1]) |
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if rightHash == nil { |
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return nil |
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} |
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return HashFromTwoHashes(trail[len(trail)-1], rightRoot) |
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return SimpleHashFromTwoHashes(innerHashes[len(innerHashes)-1], rightHash) |
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} |
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} |
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} |
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// Helper structure to construct merkle proof.
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// The node and the tree is thrown away afterwards.
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// Exactly one of node.Left and node.Right is nil, unless node is the root, in which case both are nil.
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// node.Parent.Hash = hash(node.Hash, node.Right.Hash) or
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// hash(node.Left.Hash, node.Hash), depending on whether node is a left/right child.
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type SimpleProofNode struct { |
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Hash []byte |
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Parent *SimpleProofNode |
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Left *SimpleProofNode // Left sibling (only one of Left,Right is set)
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Right *SimpleProofNode // Right sibling (only one of Left,Right is set)
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} |
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// Starting from a leaf SimpleProofNode, FlattenInnerHashes() will return
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// the inner hashes for the item corresponding to the leaf.
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func (spn *SimpleProofNode) FlattenInnerHashes() [][]byte { |
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// Nonrecursive impl.
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innerHashes := [][]byte{} |
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for spn != nil { |
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if spn.Left != nil { |
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innerHashes = append(innerHashes, spn.Left.Hash) |
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} else if spn.Right != nil { |
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innerHashes = append(innerHashes, spn.Right.Hash) |
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} else { |
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break |
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} |
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spn = spn.Parent |
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} |
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return innerHashes |
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} |
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// trails[0].Hash is the leaf hash for items[0].
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// trails[i].Parent.Parent....Parent == root for all i.
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func trailsFromHashables(items []Hashable) (trails []*SimpleProofNode, root *SimpleProofNode) { |
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// Recursive impl.
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switch len(items) { |
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case 0: |
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return nil, nil |
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case 1: |
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trail := &SimpleProofNode{items[0].Hash(), nil, nil, nil} |
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return []*SimpleProofNode{trail}, trail |
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default: |
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lefts, leftRoot := trailsFromHashables(items[:(len(items)+1)/2]) |
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rights, rightRoot := trailsFromHashables(items[(len(items)+1)/2:]) |
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rootHash := SimpleHashFromTwoHashes(leftRoot.Hash, rightRoot.Hash) |
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root := &SimpleProofNode{rootHash, nil, nil, nil} |
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leftRoot.Parent = root |
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leftRoot.Right = rightRoot |
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rightRoot.Parent = root |
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rightRoot.Left = leftRoot |
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return append(lefts, rights...), root |
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} |
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} |