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package merkle
import (
"bytes"
"fmt"
)
type SimpleProof struct {
Aunts [][]byte `json:"aunts"` // Hashes from leaf's sibling to a root's child.
}
// proofs[0] is the proof for items[0].
func SimpleProofsFromHashables(items []Hashable) (rootHash []byte, proofs []*SimpleProof) {
trails, rootSPN := trailsFromHashables(items)
rootHash = rootSPN.Hash
proofs = make([]*SimpleProof, len(items))
for i, trail := range trails {
proofs[i] = &SimpleProof{
Aunts: trail.FlattenAunts(),
}
}
return
}
// Verify that leafHash is a leaf hash of the simple-merkle-tree
// which hashes to rootHash.
func (sp *SimpleProof) Verify(index int, total int, leafHash []byte, rootHash []byte) bool {
computedHash := computeHashFromAunts(index, total, leafHash, sp.Aunts)
return computedHash != nil && bytes.Equal(computedHash, rootHash)
}
func (sp *SimpleProof) String() string {
return sp.StringIndented("")
}
func (sp *SimpleProof) StringIndented(indent string) string {
return fmt.Sprintf(`SimpleProof{
%s Aunts: %X
%s}`,
indent, sp.Aunts,
indent)
}
// Use the leafHash and innerHashes to get the root merkle hash.
// If the length of the innerHashes slice isn't exactly correct, the result is nil.
func computeHashFromAunts(index int, total int, leafHash []byte, innerHashes [][]byte) []byte {
// Recursive impl.
if index >= total {
return nil
}
switch total {
case 0:
panic("Cannot call computeHashFromAunts() with 0 total")
case 1:
if len(innerHashes) != 0 {
return nil
}
return leafHash
default:
if len(innerHashes) == 0 {
return nil
}
numLeft := (total + 1) / 2
if index < numLeft {
leftHash := computeHashFromAunts(index, numLeft, leafHash, innerHashes[:len(innerHashes)-1])
if leftHash == nil {
return nil
}
return SimpleHashFromTwoHashes(leftHash, innerHashes[len(innerHashes)-1])
} else {
rightHash := computeHashFromAunts(index-numLeft, total-numLeft, leafHash, innerHashes[:len(innerHashes)-1])
if rightHash == nil {
return nil
}
return SimpleHashFromTwoHashes(innerHashes[len(innerHashes)-1], rightHash)
}
}
}
// Helper structure to construct merkle proof.
// The node and the tree is thrown away afterwards.
// Exactly one of node.Left and node.Right is nil, unless node is the root, in which case both are nil.
// node.Parent.Hash = hash(node.Hash, node.Right.Hash) or
// hash(node.Left.Hash, node.Hash), depending on whether node is a left/right child.
type SimpleProofNode struct {
Hash []byte
Parent *SimpleProofNode
Left *SimpleProofNode // Left sibling (only one of Left,Right is set)
Right *SimpleProofNode // Right sibling (only one of Left,Right is set)
}
// Starting from a leaf SimpleProofNode, FlattenAunts() will return
// the inner hashes for the item corresponding to the leaf.
func (spn *SimpleProofNode) FlattenAunts() [][]byte {
// Nonrecursive impl.
innerHashes := [][]byte{}
for spn != nil {
if spn.Left != nil {
innerHashes = append(innerHashes, spn.Left.Hash)
} else if spn.Right != nil {
innerHashes = append(innerHashes, spn.Right.Hash)
} else {
break
}
spn = spn.Parent
}
return innerHashes
}
// trails[0].Hash is the leaf hash for items[0].
// trails[i].Parent.Parent....Parent == root for all i.
func trailsFromHashables(items []Hashable) (trails []*SimpleProofNode, root *SimpleProofNode) {
// Recursive impl.
switch len(items) {
case 0:
return nil, nil
case 1:
trail := &SimpleProofNode{items[0].Hash(), nil, nil, nil}
return []*SimpleProofNode{trail}, trail
default:
lefts, leftRoot := trailsFromHashables(items[:(len(items)+1)/2])
rights, rightRoot := trailsFromHashables(items[(len(items)+1)/2:])
rootHash := SimpleHashFromTwoHashes(leftRoot.Hash, rightRoot.Hash)
root := &SimpleProofNode{rootHash, nil, nil, nil}
leftRoot.Parent = root
leftRoot.Right = rightRoot
rightRoot.Parent = root
rightRoot.Left = leftRoot
return append(lefts, rights...), root
}
}