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package merkletree
import ( "bytes" "errors" "math/big" "sync"
"github.com/iden3/go-iden3-core/common" "github.com/iden3/go-iden3-core/db" cryptoUtils "github.com/iden3/go-iden3-crypto/utils" )
const ( // proofFlagsLen is the byte length of the flags in the proof header (first 32
// bytes).
proofFlagsLen = 2 // ElemBytesLen is the length of the Hash byte array
ElemBytesLen = 32 )
var ( // ErrNodeKeyAlreadyExists is used when a node key already exists.
ErrNodeKeyAlreadyExists = errors.New("node already exists") // ErrEntryIndexNotFound is used when no entry is found for an index.
ErrEntryIndexNotFound = errors.New("node index not found in the DB") // ErrNodeDataBadSize is used when the data of a node has an incorrect
// size and can't be parsed.
ErrNodeDataBadSize = errors.New("node data has incorrect size in the DB") // ErrReachedMaxLevel is used when a traversal of the MT reaches the
// maximum level.
ErrReachedMaxLevel = errors.New("reached maximum level of the merkle tree") // ErrInvalidNodeFound is used when an invalid node is found and can't
// be parsed.
ErrInvalidNodeFound = errors.New("found an invalid node in the DB") // ErrInvalidProofBytes is used when a serialized proof is invalid.
ErrInvalidProofBytes = errors.New("the serialized proof is invalid") // ErrInvalidDBValue is used when a value in the key value DB is
// invalid (for example, it doen't contain a byte header and a []byte
// body of at least len=1.
ErrInvalidDBValue = errors.New("the value in the DB is invalid") // ErrEntryIndexAlreadyExists is used when the entry index already
// exists in the tree.
ErrEntryIndexAlreadyExists = errors.New("the entry index already exists in the tree") // ErrNotWritable is used when the MerkleTree is not writable and a write function is called
ErrNotWritable = errors.New("Merkle Tree not writable")
rootNodeValue = []byte("currentroot") HashZero = Hash{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0} )
type Hash [32]byte
func (h Hash) String() string { return new(big.Int).SetBytes(h[:]).String() } func (h *Hash) BigInt() *big.Int { return new(big.Int).SetBytes(common.SwapEndianness(h[:])) }
func NewHashFromBigInt(b *big.Int) *Hash { r := &Hash{} copy(r[:], common.SwapEndianness(b.Bytes())) return r }
type MerkleTree struct { sync.RWMutex db db.Storage rootKey *Hash writable bool maxLevels int }
func NewMerkleTree(storage db.Storage, maxLevels int) (*MerkleTree, error) { mt := MerkleTree{db: storage, maxLevels: maxLevels, writable: true}
v, err := mt.db.Get(rootNodeValue) if err != nil { tx, err := mt.db.NewTx() if err != nil { return nil, err } mt.rootKey = &HashZero tx.Put(rootNodeValue, mt.rootKey[:]) err = tx.Commit() if err != nil { return nil, err } return &mt, nil } mt.rootKey = &Hash{} copy(mt.rootKey[:], v) return &mt, nil }
func (mt *MerkleTree) Root() *Hash { return mt.rootKey }
func (mt *MerkleTree) Add(k, v *big.Int) error { // verify that the MerkleTree is writable
if !mt.writable { return ErrNotWritable }
// verfy that the ElemBytes are valid and fit inside the Finite Field.
if !cryptoUtils.CheckBigIntInField(k) { return errors.New("Key not inside the Finite Field") } if !cryptoUtils.CheckBigIntInField(v) { return errors.New("Value not inside the Finite Field") }
tx, err := mt.db.NewTx() if err != nil { return err } mt.Lock() defer mt.Unlock()
kHash := NewHashFromBigInt(k) vHash := NewHashFromBigInt(v) newNodeLeaf := NewNodeLeaf(kHash, vHash) path := getPath(mt.maxLevels, kHash[:])
newRootKey, err := mt.addLeaf(tx, newNodeLeaf, mt.rootKey, 0, path) if err != nil { return err } mt.rootKey = newRootKey mt.dbInsert(tx, rootNodeValue, DBEntryTypeRoot, mt.rootKey[:])
if err := tx.Commit(); err != nil { return err }
return nil }
// pushLeaf recursively pushes an existing oldLeaf down until its path diverges
// from newLeaf, at which point both leafs are stored, all while updating the
// path.
func (mt *MerkleTree) pushLeaf(tx db.Tx, newLeaf *Node, oldLeaf *Node, lvl int, pathNewLeaf []bool, pathOldLeaf []bool) (*Hash, error) { if lvl > mt.maxLevels-2 { return nil, ErrReachedMaxLevel } var newNodeMiddle *Node if pathNewLeaf[lvl] == pathOldLeaf[lvl] { // We need to go deeper!
nextKey, err := mt.pushLeaf(tx, newLeaf, oldLeaf, lvl+1, pathNewLeaf, pathOldLeaf) if err != nil { return nil, err } if pathNewLeaf[lvl] { newNodeMiddle = NewNodeMiddle(&HashZero, nextKey) // go right
} else { newNodeMiddle = NewNodeMiddle(nextKey, &HashZero) // go left
} return mt.addNode(tx, newNodeMiddle) } else { oldLeafKey, err := oldLeaf.Key() if err != nil { return nil, err } newLeafKey, err := newLeaf.Key() if err != nil { return nil, err }
if pathNewLeaf[lvl] { newNodeMiddle = NewNodeMiddle(oldLeafKey, newLeafKey) } else { newNodeMiddle = NewNodeMiddle(newLeafKey, oldLeafKey) } // We can add newLeaf now. We don't need to add oldLeaf because it's already in the tree.
_, err = mt.addNode(tx, newLeaf) if err != nil { return nil, err } return mt.addNode(tx, newNodeMiddle) } }
// addLeaf recursively adds a newLeaf in the MT while updating the path.
func (mt *MerkleTree) addLeaf(tx db.Tx, newLeaf *Node, key *Hash, lvl int, path []bool) (*Hash, error) { var err error var nextKey *Hash if lvl > mt.maxLevels-1 { return nil, ErrReachedMaxLevel } n, err := mt.GetNode(key) if err != nil { return nil, err } switch n.Type { case NodeTypeEmpty: // We can add newLeaf now
return mt.addNode(tx, newLeaf) case NodeTypeLeaf: nKey := n.Entry[0] // Check if leaf node found contains the leaf node we are trying to add
newLeafKey := newLeaf.Entry[0] if bytes.Equal(nKey[:], newLeafKey[:]) { return nil, ErrEntryIndexAlreadyExists } pathOldLeaf := getPath(mt.maxLevels, nKey[:]) // We need to push newLeaf down until its path diverges from n's path
return mt.pushLeaf(tx, newLeaf, n, lvl, path, pathOldLeaf) case NodeTypeMiddle: // We need to go deeper, continue traversing the tree, left or right depending on path
var newNodeMiddle *Node if path[lvl] { nextKey, err = mt.addLeaf(tx, newLeaf, n.ChildR, lvl+1, path) // go right
newNodeMiddle = NewNodeMiddle(n.ChildL, nextKey) } else { nextKey, err = mt.addLeaf(tx, newLeaf, n.ChildL, lvl+1, path) // go left
newNodeMiddle = NewNodeMiddle(nextKey, n.ChildR) } if err != nil { return nil, err } // Update the node to reflect the modified child
return mt.addNode(tx, newNodeMiddle) default: return nil, ErrInvalidNodeFound } }
// addNode adds a node into the MT. Empty nodes are not stored in the tree;
// they are all the same and assumed to always exist.
func (mt *MerkleTree) addNode(tx db.Tx, n *Node) (*Hash, error) { // verify that the MerkleTree is writable
if !mt.writable { return nil, ErrNotWritable } if n.Type == NodeTypeEmpty { return n.Key() } k, err := n.Key() if err != nil { return nil, err } v := n.Value() // Check that the node key doesn't already exist
if _, err := tx.Get(k[:]); err == nil { return nil, ErrNodeKeyAlreadyExists } tx.Put(k[:], v) return k, nil }
// dbGet is a helper function to get the node of a key from the internal
// storage.
func (mt *MerkleTree) dbGet(k []byte) (NodeType, []byte, error) { if bytes.Equal(k, HashZero[:]) { return 0, nil, nil }
value, err := mt.db.Get(k) if err != nil { return 0, nil, err }
if len(value) < 2 { return 0, nil, ErrInvalidDBValue } nodeType := value[0] nodeBytes := value[1:]
return NodeType(nodeType), nodeBytes, nil }
// dbInsert is a helper function to insert a node into a key in an open db
// transaction.
func (mt *MerkleTree) dbInsert(tx db.Tx, k []byte, t NodeType, data []byte) { v := append([]byte{byte(t)}, data...) tx.Put(k, v) }
// GetNode gets a node by key from the MT. Empty nodes are not stored in the
// tree; they are all the same and assumed to always exist.
func (mt *MerkleTree) GetNode(key *Hash) (*Node, error) { if bytes.Equal(key[:], HashZero[:]) { return NewNodeEmpty(), nil } nBytes, err := mt.db.Get(key[:]) if err != nil { return nil, err } return NewNodeFromBytes(nBytes) }
// getPath returns the binary path, from the root to the leaf.
func getPath(numLevels int, k []byte) []bool { path := make([]bool, numLevels) for n := 0; n < numLevels; n++ { path[n] = common.TestBit(k[:], uint(n)) } return path }
// NodeAux contains the auxiliary node used in a non-existence proof.
type NodeAux struct { Key *Hash Value *Hash }
// Proof defines the required elements for a MT proof of existence or non-existence.
type Proof struct { // existence indicates wether this is a proof of existence or non-existence.
Existence bool // depth indicates how deep in the tree the proof goes.
depth uint // notempties is a bitmap of non-empty Siblings found in Siblings.
notempties [ElemBytesLen - proofFlagsLen]byte // Siblings is a list of non-empty sibling keys.
Siblings []*Hash NodeAux *NodeAux }
// NewProofFromBytes parses a byte array into a Proof.
func NewProofFromBytes(bs []byte) (*Proof, error) { if len(bs) < ElemBytesLen { return nil, ErrInvalidProofBytes } p := &Proof{} if (bs[0] & 0x01) == 0 { p.Existence = true } p.depth = uint(bs[1]) copy(p.notempties[:], bs[proofFlagsLen:ElemBytesLen]) siblingBytes := bs[ElemBytesLen:] sibIdx := 0 for i := uint(0); i < p.depth; i++ { if common.TestBitBigEndian(p.notempties[:], i) { if len(siblingBytes) < (sibIdx+1)*ElemBytesLen { return nil, ErrInvalidProofBytes } var sib Hash copy(sib[:], siblingBytes[sibIdx*ElemBytesLen:(sibIdx+1)*ElemBytesLen]) p.Siblings = append(p.Siblings, &sib) sibIdx++ } }
if !p.Existence && ((bs[0] & 0x02) != 0) { p.NodeAux = &NodeAux{Key: &Hash{}, Value: &Hash{}} nodeAuxBytes := siblingBytes[len(p.Siblings)*ElemBytesLen:] if len(nodeAuxBytes) != 2*ElemBytesLen { return nil, ErrInvalidProofBytes } copy(p.NodeAux.Key[:], nodeAuxBytes[:ElemBytesLen]) copy(p.NodeAux.Value[:], nodeAuxBytes[ElemBytesLen:2*ElemBytesLen]) } return p, nil }
// Bytes serializes a Proof into a byte array.
func (p *Proof) Bytes() []byte { bsLen := proofFlagsLen + len(p.notempties) + ElemBytesLen*len(p.Siblings) if p.NodeAux != nil { bsLen += 2 * ElemBytesLen } bs := make([]byte, bsLen)
if !p.Existence { bs[0] |= 0x01 } bs[1] = byte(p.depth) copy(bs[proofFlagsLen:len(p.notempties)+proofFlagsLen], p.notempties[:]) siblingsBytes := bs[len(p.notempties)+proofFlagsLen:] for i, k := range p.Siblings { copy(siblingsBytes[i*ElemBytesLen:(i+1)*ElemBytesLen], k[:]) } if p.NodeAux != nil { bs[0] |= 0x02 copy(bs[len(bs)-2*ElemBytesLen:], p.NodeAux.Key[:]) copy(bs[len(bs)-1*ElemBytesLen:], p.NodeAux.Value[:]) } return bs }
// GenerateProof generates the proof of existence (or non-existence) of an
// Entry's hash Index for a Merkle Tree given the root.
// If the rootKey is nil, the current merkletree root is used
func (mt *MerkleTree) GenerateProof(k *big.Int, rootKey *Hash) (*Proof, error) { p := &Proof{} var siblingKey *Hash
kHash := NewHashFromBigInt(k) path := getPath(mt.maxLevels, kHash[:]) if rootKey == nil { rootKey = mt.Root() } nextKey := rootKey for p.depth = 0; p.depth < uint(mt.maxLevels); p.depth++ { n, err := mt.GetNode(nextKey) if err != nil { return nil, err } switch n.Type { case NodeTypeEmpty: return p, nil case NodeTypeLeaf: if bytes.Equal(kHash[:], n.Entry[0][:]) { p.Existence = true return p, nil } else { // We found a leaf whose entry didn't match hIndex
p.NodeAux = &NodeAux{Key: n.Entry[0], Value: n.Entry[1]} return p, nil } case NodeTypeMiddle: if path[p.depth] { nextKey = n.ChildR siblingKey = n.ChildL } else { nextKey = n.ChildL siblingKey = n.ChildR } default: return nil, ErrInvalidNodeFound } if !bytes.Equal(siblingKey[:], HashZero[:]) { common.SetBitBigEndian(p.notempties[:], uint(p.depth)) p.Siblings = append(p.Siblings, siblingKey) } } return nil, ErrEntryIndexNotFound }
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