diff --git a/mpt/disk.go b/mpt/disk.go index efb022f..917f7ca 100644 --- a/mpt/disk.go +++ b/mpt/disk.go @@ -201,7 +201,7 @@ func memOpen(file1, file2, disk File, op string) (_ Tree, err error) { if err != nil { return nil, err } - h := emptyTreeHash() + h := emptyTreeHash if err := t.mutate(mem[hdrHash:], h[:]); err != nil { return nil, err } diff --git a/mpt/dmem.go b/mpt/dmem.go index a6841fe..1c0e5ba 100644 --- a/mpt/dmem.go +++ b/mpt/dmem.go @@ -8,6 +8,7 @@ import ( "bytes" "encoding/binary" "fmt" + "iter" ) // hash returns the hash for the given tree node. @@ -338,44 +339,43 @@ func (t *diskTree) predict(s []node, a addr, pbit int, list []KeyVal) ([]node, [ return s, list, nil } -// Prove returns a proof of the presence or absence of key in t. -func (t *diskTree) Prove(key Key) (val Val, ok bool, proof Proof, err error) { +// Path returns the path proof for key in t. +func (t *diskTree) Path(key Key) (Proof, error) { t.mmu.RLock() defer t.mmu.RUnlock() if t.err != nil { - return Val{}, false, nil, t.err + return nil, t.err } if t.hdr().dirty() { - return Val{}, false, nil, ErrModifiedTree + return nil, ErrModifiedTree } root, err := t.node(t.hdr().root()) if err != nil { - return Val{}, false, nil, err + return nil, err } if root == nil { - return Val{}, false, Proof{}, nil + return Proof{}, nil } - return root.prove(t, -1, key) + return root.path(t, -1, key) } -func (n *diskNode) prove(t *diskTree, pbit int, key Key) (val Val, ok bool, proof Proof, err error) { +// path returns the path proof for key in the subtree rooted at n. +// pbit is the parent bit depth, controlling whether n is viewed as a leaf. +func (n *diskNode) path(t *diskTree, pbit int, key Key) (Proof, error) { nbit := n.bit() if nbit <= pbit { // view n as leaf nkey, nval, err := n.keyVal(t) if err != nil { - return Val{}, false, nil, err - } - if bytes.Equal(nkey, key) { - return nval, true, Proof{}, nil + return nil, err } var p Proof p = binary.AppendUvarint(p, uint64(len(nkey))) - p = append(p, nkey[:]...) + p = append(p, nkey...) p = binary.AppendUvarint(p, uint64(len(nval))) - p = append(p, nval[:]...) - return Val{}, false, p, nil + p = append(p, nval...) + return p, nil } childAddr, sibAddr := n.left(), n.right() @@ -384,24 +384,141 @@ func (n *diskNode) prove(t *diskTree, pbit int, key Key) (val Val, ok bool, proo } child, err := t.node(childAddr) if err != nil { - return Val{}, false, nil, err + return nil, err } sib, err := t.node(sibAddr) if err != nil { - return Val{}, false, nil, err + return nil, err } sibHash, err := sib.hash(t, nbit) if err != nil { - return Val{}, false, nil, err + return nil, err } - val, ok, proof, err = child.prove(t, nbit, key) + proof, err := child.path(t, nbit, key) if err != nil { - return + return nil, err } proof = binary.AppendUvarint(proof, uint64(nbit)) proof = append(proof, sibHash[:]...) - return + return proof, nil +} + +// Scan returns an iterator over key-val pairs whose keys start with prefix. +func (t *diskTree) Scan(prefix []byte) iter.Seq2[KeyVal, error] { + return func(yield func(KeyVal, error) bool) { + t.mmu.RLock() + defer t.mmu.RUnlock() + + if t.err != nil { + yield(KeyVal{}, t.err) + return + } + n, pbit, err := t.subtree(prefix) + if err != nil { + yield(KeyVal{}, err) + return + } + if n == nil { + return + } + n.scan(t, pbit, yield) + } +} + +// subtree returns the root of the subtree holding every key that starts +// with prefix, along with its parent's bit depth, or nil if the tree +// holds no such key. +func (t *diskTree) subtree(prefix []byte) (*diskNode, int, error) { + n, err := t.node(t.hdr().root()) + if err != nil || n == nil { + return nil, 0, err + } + + // Look up prefix as if it were a key, stopping at the first node + // that splits at a bit index at or past the end of the prefix: + // every key below that node agrees with the others there, + // so either all of them start with prefix or none do. + pbits := 8 * len(prefix) + pbit := -1 + for n.bit() > pbit && n.bit() < pbits { + nbit := n.bit() + a := n.left() + if bit(prefix, nbit) != 0 { + a = n.right() + } + if n, err = t.child(a); err != nil { + return nil, 0, err + } + pbit = nbit + } + + // Check one key to decide for all of them. + left, err := n.leftmost(t, pbit) + if err != nil { + return nil, 0, err + } + key, err := left.key(t) + if err != nil { + return nil, 0, err + } + if !key.HasPrefix(prefix) { + return nil, 0, nil + } + return n, pbit, nil +} + +// child returns the node at address a, which must not be a nil address. +func (t *diskTree) child(a addr) (*diskNode, error) { + n, err := t.node(a) + if err != nil { + return nil, err + } + if n == nil { + return nil, t.broken(errCorrupt) + } + return n, nil +} + +// leftmost returns the leaf holding the smallest key +// in the subtree rooted at n. +func (n *diskNode) leftmost(t *diskTree, pbit int) (*diskNode, error) { + for n.bit() > pbit { + pbit = n.bit() + next, err := t.child(n.left()) + if err != nil { + return nil, err + } + n = next + } + return n, nil +} + +// scan yields the key-val pairs in the subtree rooted at n, in key order, +// reporting whether iteration should continue. +func (n *diskNode) scan(t *diskTree, pbit int, yield func(KeyVal, error) bool) bool { + nbit := n.bit() + if nbit <= pbit { + // view n as leaf + key, val, err := n.keyVal(t) + if err != nil { + yield(KeyVal{}, err) + return false + } + return yield(KeyVal{key, val}, nil) + } + + left, err := t.child(n.left()) + if err != nil { + yield(KeyVal{}, err) + return false + } + right, err := t.child(n.right()) + if err != nil { + yield(KeyVal{}, err) + return false + } + return left.scan(t, nbit, yield) && right.scan(t, nbit, yield) } func (t *diskTree) check() { diff --git a/mpt/mem.go b/mpt/mem.go index d4cbbc4..64dfde7 100644 --- a/mpt/mem.go +++ b/mpt/mem.go @@ -9,6 +9,7 @@ import ( "encoding/binary" "errors" "fmt" + "iter" ) // A memTree is an in-memory [Tree]. @@ -42,7 +43,7 @@ func (n *memNode) bit() int { // NewMemTree returns a new in-memory [Tree]. func NewMemTree() Tree { t := &memTree{ - hash: emptyTreeHash(), + hash: emptyTreeHash, exact: true, } return t @@ -245,33 +246,32 @@ func (t *memTree) predict(s []node, n *memNode, pbit int, list []KeyVal) ([]node return s, list } -// Prove returns a proof of the presence or absence of key in t. -func (t *memTree) Prove(key Key) (val Val, ok bool, proof Proof, err error) { +// Path returns the path proof for key in t. +func (t *memTree) Path(key Key) (Proof, error) { if t.err != nil { - return Val{}, false, nil, t.err + return nil, t.err } if t.dirty { - return Val{}, false, nil, ErrModifiedTree + return nil, ErrModifiedTree } if t.root == nil { - return Val{}, false, Proof{}, nil + return Proof{}, nil } - return t.root.prove(-1, key) + return t.root.path(-1, key), nil } -func (n *memNode) prove(pbit int, key Key) (val Val, ok bool, proof Proof, err error) { +// path returns the path proof for key in the subtree rooted at n. +// pbit is the parent bit depth, controlling whether n is viewed as a leaf. +func (n *memNode) path(pbit int, key Key) Proof { nbit := n.bit() if nbit <= pbit { // view n as leaf - if bytes.Equal(n.key, key) { - return n.val, true, Proof{}, nil - } var p Proof p = binary.AppendUvarint(p, uint64(len(n.key))) - p = append(p, n.key[:]...) + p = append(p, n.key...) p = binary.AppendUvarint(p, uint64(len(n.val))) - p = append(p, n.val[:]...) - return Val{}, false, p, nil + p = append(p, n.val...) + return p } var sib Hash @@ -284,10 +284,78 @@ func (n *memNode) prove(pbit int, key Key) (val Val, ok bool, proof Proof, err e sib = n.left.hash(nbit) } - val, ok, proof, _ = child.prove(nbit, key) + proof := child.path(nbit, key) proof = binary.AppendUvarint(proof, uint64(nbit)) proof = append(proof, sib[:]...) - return + return proof +} + +// Scan returns an iterator over key-val pairs whose keys start with prefix. +func (t *memTree) Scan(prefix []byte) iter.Seq2[KeyVal, error] { + return func(yield func(KeyVal, error) bool) { + if t.err != nil { + yield(KeyVal{}, t.err) + return + } + n, pbit := t.subtree(prefix) + if n == nil { + return + } + n.scan(pbit, yield) + } +} + +// subtree returns the root of the subtree holding every key that starts +// with prefix, along with its parent's bit depth, or nil if the tree +// holds no such key. +func (t *memTree) subtree(prefix []byte) (*memNode, int) { + n := t.root + if n == nil { + return nil, 0 + } + + // Look up prefix as if it were a key, stopping at the first node + // that splits at a bit index at or past the end of the prefix: + // every key below that node agrees with the others there, + // so either all of them start with prefix or none do. + pbits := 8 * len(prefix) + pbit := -1 + for n.bit() > pbit && n.bit() < pbits { + nbit := n.bit() + if bit(prefix, nbit) == 0 { + n = n.left + } else { + n = n.right + } + pbit = nbit + } + + // Check one key to decide for all of them. + if !n.leftmost(pbit).key.HasPrefix(prefix) { + return nil, 0 + } + return n, pbit +} + +// leftmost returns the leaf holding the smallest key +// in the subtree rooted at n. +func (n *memNode) leftmost(pbit int) *memNode { + for n.bit() > pbit { + pbit = n.bit() + n = n.left + } + return n +} + +// scan yields the key-val pairs in the subtree rooted at n, in key order, +// reporting whether iteration should continue. +func (n *memNode) scan(pbit int, yield func(KeyVal, error) bool) bool { + nbit := n.bit() + if nbit <= pbit { + // view n as leaf + return yield(KeyVal{n.key, n.val}, nil) + } + return n.left.scan(nbit, yield) && n.right.scan(nbit, yield) } // check checks all the tree invariants, walking the entire tree. diff --git a/mpt/testdata/mkprefix.go b/mpt/testdata/mkprefix.go new file mode 100644 index 0000000..5fa6e72 --- /dev/null +++ b/mpt/testdata/mkprefix.go @@ -0,0 +1,329 @@ +// Copyright 2025 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// Mkprefix generates testdata/prefix.txt, a file of test vectors for +// [mpt.Tree.Scan], [mpt.ProvePrefix], and [mpt.VerifyPrefix]. +// +// Usage: +// +// go run testdata/mkprefix.go > testdata/prefix.txt +package main + +//go:generate sh -c "go run mkprefix.go >prefix.txt" + +import ( + "bytes" + "crypto/sha256" + "encoding/binary" + "encoding/hex" + "fmt" + "os" + "slices" + + "filippo.io/torchwood/mpt" +) + +func main() { + var g gen + g.header() + g.emptyTree() + g.textTrees() + g.hashTree() + if _, err := os.Stdout.WriteString(g.String()); err != nil { + fmt.Fprintln(os.Stderr, err) + os.Exit(1) + } +} + +// gen accumulates test output. +type gen struct { + buf bytes.Buffer +} + +func (g *gen) String() string { return g.buf.String() } + +// Output methods. + +func (g *gen) printf(format string, args ...any) { + fmt.Fprintf(&g.buf, format, args...) +} + +func (g *gen) comment(line string) { + if line != "" { + line = " " + line + } + g.printf("#%s\n", line) +} + +func (g *gen) blank() { g.printf("\n") } + +func (g *gen) section(title string) { + g.printf("# === %s ===\n\n", title) +} + +func (g *gen) kv(key, val []byte) { + ks, vs := encHex(key), encHex(val) + if len(key) == 0 { + ks = "''" + } + if len(val) == 0 { + vs = "''" + } + g.printf("kv %s %s\n", ks, vs) +} + +func (g *gen) snap(h mpt.Hash) { + g.printf("snap %s\n", encHex(h[:])) +} + +func (g *gen) prefix(p []byte) { + if len(p) == 0 { + g.printf("prefix ''\n") + return + } + g.printf("prefix %s\n", encHex(p)) +} + +func (g *gen) hash(h mpt.Hash) { + g.printf("hash %s\n", encHex(h[:])) +} + +// proof writes a formatted proof line. +// ok indicates whether the proof is a sequence of path steps only (true, +// the shape ProvePrefix returns when the prefix's subtree was found) or +// begins with a key-value pair (false, the shape ProvePrefix returns +// when no key in the tree has the prefix). +func (g *gen) proof(p mpt.Proof, ok bool) { + if len(p) == 0 { + g.printf("proof ''\n") + return + } + groups := fmtGroups([]byte(p), ok) + if len(groups) == 1 { + g.printf("proof %s\n", groups[0]) + return + } + for i, gr := range groups { + switch { + case i == 0: + g.printf("proof %s \\\n", gr) + case i < len(groups)-1: + g.printf("\t%s \\\n", gr) + default: + g.printf("\t%s\n", gr) + } + } +} + +// encHex formats bytes as a hex string. +func encHex(b []byte) string { + return hex.EncodeToString(b) +} + +// fmtGroups splits raw proof bytes into display groups. +// Each group is a space-separated hex string that should appear on one line. +func fmtGroups(data []byte, ok bool) []string { + var groups []string + if !ok { + // altkey: varint(len) key + keyLen, n := binary.Uvarint(data) + groups = append(groups, encHex(data[:n])+" "+encHex(data[n:n+int(keyLen)])) + data = data[n+int(keyLen):] + // altval: varint(len) val + valLen, n := binary.Uvarint(data) + groups = append(groups, encHex(data[:n])+" "+encHex(data[n:n+int(valLen)])) + data = data[n+int(valLen):] + } + // path steps: varint(bit) + 32-byte hash + for len(data) > 0 { + _, n := binary.Uvarint(data) + groups = append(groups, encHex(data[:n])+" "+encHex(data[n:n+32])) + data = data[n+32:] + } + return groups +} + +// Tree and probe helpers. + +// emitTree builds an in-memory tree from kvs, emits its kv and snap lines +// (with the keys in sorted order, for readability), and returns the tree, +// its key-value pairs sorted by [mpt.KeyVal.CompareKey], and its snapshot. +func (g *gen) emitTree(kvs []mpt.KeyVal) (mpt.Tree, []mpt.KeyVal, mpt.Snapshot) { + t := mpt.NewMemTree() + for _, kv := range kvs { + if err := t.Set(kv.Key, kv.Val); err != nil { + panic(err) + } + } + sorted := slices.Clone(kvs) + slices.SortFunc(sorted, mpt.KeyVal.CompareKey) + version := int64(1) + if len(kvs) == 0 { + version = 0 + } + snap, err := t.Snap(version) + if err != nil { + panic(err) + } + for _, kv := range sorted { + g.kv(kv.Key, kv.Val) + } + g.snap(snap.Hash) + return t, sorted, snap +} + +// probePrefix emits one prefix/hash/proof group testing prefix against t. +func (g *gen) probePrefix(t mpt.Tree, prefix []byte) { + path, err := t.Path(prefix) + if err != nil { + panic(err) + } + hash, proof, err := mpt.ProvePrefix(prefix, path) + if err != nil { + panic(err) + } + g.prefix(prefix) + g.hash(hash) + g.proof(proof, hash != mpt.EmptyTreeHash()) + g.blank() +} + +// Test generation methods. + +func (g *gen) header() { + g.comment("Test vectors for mpt.Tree.Scan, mpt.ProvePrefix, and mpt.VerifyPrefix,") + g.comment("generated by mkprefix.go.") + g.comment("") + g.comment("Each test is a run of zero or more kv lines followed by a snap line,") + g.comment("building and snapshotting a tree, followed by zero or more") + g.comment("prefix/hash/proof groups tested against that snapshot. The kv set is") + g.comment("cleared after each snap line, so any kv lines that follow belong to") + g.comment("the next test. Blank lines and lines beginning with # are ignored.") + g.comment("") + g.comment("Format:") + g.comment(" kv HEXKEY HEXVAL - add a key-value pair to the current tree") + g.comment(" snap HEXHASH - snapshot the tree; its hash must equal HEXHASH") + g.comment(" prefix HEXPREFIX - set the prefix under test") + g.comment(" prefix '' - set the prefix to empty (zero-length)") + g.comment(" hash HEXHASH - ProvePrefix(prefix) hash should equal HEXHASH") + g.comment(" proof HEXPROOF - ProvePrefix(prefix) proof, verified with VerifyPrefix") + g.comment("") + g.comment("For each prefix/hash/proof group, a conformance test should also") + g.comment("collect the pairs among the tree's own kv lines whose key has the") + g.comment("prefix (using HasPrefix), and check that: Scan(prefix) yields exactly") + g.comment("that set, in key order; TreeHash of that set equals the recorded") + g.comment("hash; and VerifyPrefix(snap, prefix, hash, proof) succeeds.") + g.comment("") + g.comment("Proof lines may be continued with \\ at end of line;") + g.comment("continuation lines conventionally start with a tab.") + g.comment("The hex for kv, snap, prefix, hash, and proof may contain spaces.") + g.comment("") + g.comment("DO NOT EDIT. Generated by:") + g.comment(" go run testdata/mkprefix.go > testdata/prefix.txt") + g.blank() +} + +// prefixKeys are keys chosen to exercise the key padding rules: +// some are prefixes of others, and some contain 0x00 and 0xFF bytes. +var prefixKeys = []string{ + "", + "\x00", + "\xff", + "a", + "a\x00", + "a\xff", + "ab", + "ab\x00", + "abc", + "abd", + "b", + "ba", + "bb", + "c", +} + +// prefixList returns the prefixes to try against a tree holding keys. +// It returns every byte prefix of every key, plus a few extensions +// that are not prefixes of any key. +func prefixList(keys []string) []string { + seen := make(map[string]bool) + var list []string + add := func(p string) { + if !seen[p] { + seen[p] = true + list = append(list, p) + } + } + for _, k := range keys { + for i := 0; i <= len(k); i++ { + add(k[:i]) + for _, b := range []string{"\x00", "\xff", "z"} { + add(k[:i] + b) + } + } + } + return list +} + +// textVal returns a deterministic 32-byte value for index i, +// paired with the literal text keys in prefixKeys. +func textVal(i int) mpt.Val { + s := sha256.Sum256([]byte(fmt.Sprintf("prefix-text-val-%d", i))) + return s[:] +} + +func (g *gen) emptyTree() { + g.section("Empty tree") + t, _, _ := g.emitTree(nil) + for _, p := range prefixList(prefixKeys) { + g.probePrefix(t, []byte(p)) + } +} + +// textTrees builds a tree from each prefix of prefixKeys (0 keys, 1 key, +// ..., all of them), using the keys themselves (not hashes) so that the +// trees exercise shared prefixes and the key padding rules, and checks +// every prefix in prefixList(prefixKeys) against each one. +func (g *gen) textTrees() { + for n := range len(prefixKeys) + 1 { + g.section(fmt.Sprintf("Text keys, %d key(s)", n)) + var kvs []mpt.KeyVal + for i, k := range prefixKeys[:n] { + kvs = append(kvs, mpt.KeyVal{Key: mpt.Key(k), Val: textVal(i)}) + } + t, _, _ := g.emitTree(kvs) + for _, p := range prefixList(prefixKeys) { + g.probePrefix(t, []byte(p)) + } + } +} + +// hashTree builds one tree of 200 SHA256-derived keys (as a real +// application would use) and checks prefixes of the 10 smallest keys, +// at every length up to 3 bytes, plus prefixes that match no key. +func (g *gen) hashTree() { + g.section("Hash keys") + const n = 200 + var kvs []mpt.KeyVal + for i := range n { + k := sha256.Sum256([]byte(fmt.Sprintf("prefix-key-%d", i))) + v := sha256.Sum256([]byte(fmt.Sprintf("prefix-hash-val-%d", i))) + kvs = append(kvs, mpt.KeyVal{Key: k[:], Val: v[:]}) + } + t, sorted, _ := g.emitTree(kvs) + + var prefixes [][]byte + for _, kv := range sorted[:10] { + for i := range 4 { + prefixes = append(prefixes, kv.Key[:i]) + } + } + for i := range 20 { + s := sha256.Sum256([]byte(fmt.Sprintf("prefix-miss-%d", i))) + prefixes = append(prefixes, s[:1+i%3]) + } + for _, p := range prefixes { + g.probePrefix(t, p) + } +} diff --git a/mpt/testdata/mktreehash.go b/mpt/testdata/mktreehash.go index 254c7f6..e472ab0 100644 --- a/mpt/testdata/mktreehash.go +++ b/mpt/testdata/mktreehash.go @@ -85,7 +85,7 @@ func bytesCompareKeyVal(a, b mpt.KeyVal) int { // computeHash sorts key-value pairs by key and computes the tree hash. func computeHash(kvs []mpt.KeyVal) mpt.Hash { kvs = slices.Clone(kvs) - slices.SortFunc(kvs, mpt.KeyVal.Compare) + slices.SortFunc(kvs, mpt.KeyVal.CompareKey) return mpt.TreeHash(slices.Values(kvs)) } diff --git a/mpt/testdata/mkverify.go b/mpt/testdata/mkverify.go index 2aec8a2..8f07c1a 100644 --- a/mpt/testdata/mkverify.go +++ b/mpt/testdata/mkverify.go @@ -2,7 +2,7 @@ // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. -// Mkverify generates testdata/verify.txt, a file of test vectors for [mpt.Verify]. +// Mkverify generates testdata/verify.txt, a file of test vectors for [mpt.VerifyLookup]. // // Usage: // @@ -36,6 +36,7 @@ func main() { g.keyOverlap() g.emptyKeyVal() g.proofStructure() + g.prefixProofs() if _, err := os.Stdout.WriteString(g.String()); err != nil { fmt.Fprintln(os.Stderr, err) os.Exit(1) @@ -131,6 +132,22 @@ func (g *gen) verify(want bool) { g.printf("verify %v\n", want) } +func (g *gen) prefix(p []byte) { + if len(p) == 0 { + g.printf("prefix ''\n") + return + } + g.printf("prefix %s\n", encHex(p)) +} + +func (g *gen) hash(h mpt.Hash) { + g.printf("hash %s\n", encHex(h[:])) +} + +func (g *gen) verifyPrefix(want bool) { + g.printf("verifyprefix %v\n", want) +} + // encHex formats bytes as a hex string. func encHex(b []byte) string { return hex.EncodeToString(b) @@ -186,8 +203,46 @@ func newFixture(names ...string) *fixture { return &fixture{tree: t, snap: snap} } +// newTextFixture is like newFixture but stores the names themselves +// as keys, so that the keys share prefixes. +func newTextFixture(names ...string) *fixture { + t := mpt.NewMemTree() + for _, name := range names { + t.Set(mpt.Key(name), tval(name)) + } + v := int64(1) + if len(names) == 0 { + v = 0 + } + snap, err := t.Snap(v) + if err != nil { + panic(err) + } + return &fixture{tree: t, snap: snap} +} + +func (f *fixture) path(key mpt.Key) mpt.Proof { + path, err := f.tree.Path(key) + if err != nil { + panic(err) + } + return path +} + +func (f *fixture) provePrefix(prefix []byte) (mpt.Hash, mpt.Proof) { + hash, proof, err := mpt.ProvePrefix(prefix, f.path(prefix)) + if err != nil { + panic(err) + } + return hash, proof +} + func (f *fixture) prove(key mpt.Key) (mpt.Val, bool, mpt.Proof) { - v, ok, p, err := f.tree.Prove(key) + path, err := f.tree.Path(key) + if err != nil { + panic(err) + } + v, ok, p, err := mpt.ProveLookup(key, path) if err != nil { panic(err) } @@ -266,7 +321,7 @@ func buildConfirmProof(steps []pathStep) mpt.Proof { // Test generation methods. func (g *gen) header() { - g.comment("Test vectors for mpt.Verify, generated by gen.go.") + g.comment("Test vectors for mpt.VerifyLookup, generated by gen.go.") g.comment("") g.comment("Each test sets state with snap, key, val, and proof lines,") g.comment("then calls verify to check the result. Blank lines and lines") @@ -279,8 +334,13 @@ func (g *gen) header() { g.comment(" val - - set val to empty and ok=false") g.comment(" proof HEXPROOF - set the proof (hex bytes, spaces ok)") g.comment(" proof '' - set the proof to empty (zero-length)") - g.comment(" verify true - Verify should succeed (return nil)") - g.comment(" verify false - Verify should fail (return error)") + g.comment(" verify true - VerifyLookup should succeed (return nil)") + g.comment(" verify false - VerifyLookup should fail (return error)") + g.comment(" prefix HEXPREFIX - set the key prefix") + g.comment(" prefix '' - set the key prefix to empty (zero-length)") + g.comment(" hash HEXHASH - set the claimed subtree hash") + g.comment(" verifyprefix true - VerifyPrefix should succeed (return nil)") + g.comment(" verifyprefix false - VerifyPrefix should fail (return error)") g.comment("") g.comment("Proof lines may be continued with \\ at end of line;") g.comment("continuation lines conventionally start with a tab.") @@ -538,7 +598,7 @@ func (g *gen) varSizes() { // treeHash is a helper to compute the root hash of a set of key-value pairs // using mpt.TreeHash. treeHash := func(kvs ...mpt.KeyVal) mpt.Hash { - slices.SortFunc(kvs, mpt.KeyVal.Compare) + slices.SortFunc(kvs, mpt.KeyVal.CompareKey) return mpt.TreeHash(slices.Values(kvs)) } @@ -1696,3 +1756,166 @@ func (g *gen) proofStructure() { g.verify(false) g.blank() } + +func (g *gen) prefixProofs() { + g.section("Prefix proofs") + + empty := mpt.EmptyTreeHash() + + // Empty tree. + e := newFixture() + + g.comment("Empty tree: empty proof proves no keys have the prefix.") + g.snap(e.snap.Hash) + g.prefix([]byte("a")) + g.hash(empty) + g.rawProof(nil) + g.verifyPrefix(true) + g.blank() + + g.comment("Empty tree: a non-empty subtree cannot be claimed.") + g.snap(e.snap.Hash) + g.prefix([]byte("a")) + g.hash(sha256.Sum256([]byte("subtree"))) + g.rawProof(nil) + g.verifyPrefix(false) + g.blank() + + // Tree with prefix-sharing text keys. + f := newTextFixture("a", "ab", "abc", "abd", "b", "ba") + + g.comment("Whole tree: the empty prefix selects the root, with no path steps.") + g.snap(f.snap.Hash) + g.prefix(nil) + g.hash(f.snap.Hash) + g.rawProof(nil) + g.verifyPrefix(true) + g.blank() + + hab, pab := f.provePrefix([]byte("ab")) + g.comment("Prefix ab: subtree holding ab, abc, and abd.") + g.snap(f.snap.Hash) + g.prefix([]byte("ab")) + g.hash(hab) + g.proof(pab, true) + g.verifyPrefix(true) + g.blank() + + g.comment("Prefix ab: valid proof but wrong subtree hash.") + g.snap(f.snap.Hash) + g.prefix([]byte("ab")) + g.hash(sha256.Sum256([]byte("wrong subtree"))) + g.proof(pab, true) + g.verifyPrefix(false) + g.blank() + + g.comment("Prefix ab: valid proof but wrong snapshot.") + g.snap(sha256.Sum256([]byte("wrong"))) + g.prefix([]byte("ab")) + g.hash(hab) + g.proof(pab, true) + g.verifyPrefix(false) + g.blank() + + g.comment("Prefix ab: truncated proof.") + g.snap(f.snap.Hash) + g.prefix([]byte("ab")) + g.hash(hab) + g.rawProof(truncated(pab, len(pab)-1)) + g.verifyPrefix(false) + g.blank() + + g.comment("Prefix ab: proof with trailing garbage.") + g.snap(f.snap.Hash) + g.prefix([]byte("ab")) + g.hash(hab) + g.rawProof(appended(pab, 0x00)) + g.verifyPrefix(false) + g.blank() + + habc, pabc := f.provePrefix([]byte("abc")) + g.comment("Prefix abc: the single abc leaf.") + g.snap(f.snap.Hash) + g.prefix([]byte("abc")) + g.hash(habc) + g.proof(pabc, true) + g.verifyPrefix(true) + g.blank() + + g.comment("Prefix ab: claiming abc's subtree omits ab and abd, so it must fail.") + g.comment("Its first path step splits at a bit index inside abc but past ab.") + g.snap(f.snap.Hash) + g.prefix([]byte("ab")) + g.hash(habc) + g.proof(pabc, true) + g.verifyPrefix(false) + g.blank() + + g.comment("Prefix ab: claiming the whole tree succeeds. The proof is one-sided:") + g.comment("it shows the subtree holds every key with the prefix, not that it") + g.comment("holds nothing else.") + g.snap(f.snap.Hash) + g.prefix([]byte("ab")) + g.hash(f.snap.Hash) + g.rawProof(nil) + g.verifyPrefix(true) + g.blank() + + ha0, pa0 := f.provePrefix([]byte("a\x00")) + g.comment("Prefix a-NUL: key a padded with NUL then FFs, so only a matches.") + g.snap(f.snap.Hash) + g.prefix([]byte("a\x00")) + g.hash(ha0) + g.proof(pa0, true) + g.verifyPrefix(true) + g.blank() + + hz, pz := f.provePrefix([]byte("z")) + g.comment("Prefix z: no keys, proved by the path to the key reached instead.") + g.snap(f.snap.Hash) + g.prefix([]byte("z")) + g.hash(hz) + g.proof(pz, false) + g.verifyPrefix(true) + g.blank() + + g.comment("Prefix z: the same claim needs a proof in a non-empty tree.") + g.snap(f.snap.Hash) + g.prefix([]byte("z")) + g.hash(empty) + g.rawProof(nil) + g.verifyPrefix(false) + g.blank() + + g.comment("Prefix b: claiming no keys, but the path ends at a key with the prefix.") + g.snap(f.snap.Hash) + g.prefix([]byte("b")) + g.hash(empty) + g.proof(f.path([]byte("b")), false) + g.verifyPrefix(false) + g.blank() + + g.comment("Prefix ab: claiming no keys, but ab is in the tree.") + g.snap(f.snap.Hash) + g.prefix([]byte("ab")) + g.hash(empty) + g.proof(f.path([]byte("ab")), false) + g.verifyPrefix(false) + g.blank() + + g.comment("Prefix z: valid proof but wrong snapshot.") + g.snap(sha256.Sum256([]byte("wrong"))) + g.prefix([]byte("z")) + g.hash(hz) + g.proof(pz, false) + g.verifyPrefix(false) + g.blank() + + g.comment("Prefix z: valid proof with a corrupted sibling hash.") + g.snap(f.snap.Hash) + g.prefix([]byte("z")) + g.hash(hz) + g.rawProof(flipped(pz, len(pz)-1)) + g.verifyPrefix(false) + g.blank() +} diff --git a/mpt/testdata/prefix.txt b/mpt/testdata/prefix.txt new file mode 100644 index 0000000..46f5b90 --- /dev/null +++ b/mpt/testdata/prefix.txt @@ -0,0 +1,6852 @@ +# Test vectors for mpt.Tree.Scan, mpt.ProvePrefix, and mpt.VerifyPrefix, +# generated by mkprefix.go. +# +# Each test is a run of zero or more kv lines followed by a snap line, +# building and snapshotting a tree, followed by zero or more +# prefix/hash/proof groups tested against that snapshot. The kv set is +# cleared after each snap line, so any kv lines that follow belong to +# the next test. Blank lines and lines beginning with # are ignored. +# +# Format: +# kv HEXKEY HEXVAL - add a key-value pair to the current tree +# snap HEXHASH - snapshot the tree; its hash must equal HEXHASH +# prefix HEXPREFIX - set the prefix under test +# prefix '' - set the prefix to empty (zero-length) +# hash HEXHASH - ProvePrefix(prefix) hash should equal HEXHASH +# proof HEXPROOF - ProvePrefix(prefix) proof, verified with VerifyPrefix +# +# For each prefix/hash/proof group, a conformance test should also +# collect the pairs among the tree's own kv lines whose key has the +# prefix (using HasPrefix), and check that: Scan(prefix) yields exactly +# that set, in key order; TreeHash of that set equals the recorded +# hash; and VerifyPrefix(snap, prefix, hash, proof) succeeds. +# +# Proof lines may be continued with \ at end of line; +# continuation lines conventionally start with a tab. +# The hex for kv, snap, prefix, hash, and proof may contain spaces. +# +# DO NOT EDIT. Generated by: +# go run testdata/mkprefix.go > testdata/prefix.txt + +# === Empty tree === + +snap e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +prefix '' +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 00 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix ff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 7a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 0000 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 00ff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 007a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix ff00 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix ffff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix ff7a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 61 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 6100 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 61ff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 617a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 610000 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 6100ff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 61007a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 61ff00 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 61ffff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 61ff7a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 6162 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 616200 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 6162ff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 61627a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 61620000 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 616200ff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 6162007a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 616263 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 61626300 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 616263ff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 6162637a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 616264 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 61626400 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 616264ff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 6162647a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 62 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 6200 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 62ff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 627a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 6261 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 626100 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 6261ff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 62617a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 6262 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 626200 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 6262ff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 62627a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 63 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 6300 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 63ff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 637a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +# === Text keys, 0 key(s) === + +snap e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +prefix '' +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 00 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix ff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 7a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 0000 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 00ff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 007a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix ff00 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix ffff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix ff7a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 61 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 6100 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 61ff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 617a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 610000 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 6100ff +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' + +prefix 61007a +hash 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4fa4f05082be2892ea190ea5be82083edeef5ce20690cd661f9ca4f6913e78a8 \ + 01 a77384d66a7391fa54f4cd799bda24177d138b6167ae7cd3913501497aac87ad \ + 00 daa20f1d2f04ec9f19c081caeca66e549d1a93022063463ff4501bed268b356a + +prefix 637a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof 02 6100 \ + 20 18c3af1eeae54aaecc02253c5edce3423cd8a0f166dc51f0392398cbd6aa1e0c \ + 10 4fa4f05082be2892ea190ea5be82083edeef5ce20690cd661f9ca4f6913e78a8 \ + 01 a77384d66a7391fa54f4cd799bda24177d138b6167ae7cd3913501497aac87ad \ + 00 daa20f1d2f04ec9f19c081caeca66e549d1a93022063463ff4501bed268b356a + +# === Text keys, 6 key(s) === + +kv 00 d46d8a04f77f1a33becbee20a58b5786b209b4fa072ae6b6871f45af12636636 +kv '' b148352607a6353a9e44d4db41c4d1963535dbab7d49bb9c91569183903899e2 +kv 6100 18c3af1eeae54aaecc02253c5edce3423cd8a0f166dc51f0392398cbd6aa1e0c +kv 61 b42663a01cf5c4e0fb627a6232580adddc5b44adfb42a676f62283613febec7f +kv 61ff a30422eec378e106cb12e4c50bbab61b3c0dbae62a42678de23ea975ac966f58 +kv 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keys, 9 key(s) === + +kv 00 d46d8a04f77f1a33becbee20a58b5786b209b4fa072ae6b6871f45af12636636 +kv '' b148352607a6353a9e44d4db41c4d1963535dbab7d49bb9c91569183903899e2 +kv 6100 18c3af1eeae54aaecc02253c5edce3423cd8a0f166dc51f0392398cbd6aa1e0c +kv 61 b42663a01cf5c4e0fb627a6232580adddc5b44adfb42a676f62283613febec7f +kv 616200 4b3b395ee2f9d7591e33397e272b19e13be7673c0ccf40928d7c439dff17d717 +kv 6162 fec1eb04fdd1ef5538f6d2d52e06b1344a7dff0c0b4e9d4c9d3206c8a4d17647 +kv 616263 caf22a5c3f19e5f243c844d67eac5c0619f27ab244f313dcedf3455f8ecbcc69 +kv 61ff a30422eec378e106cb12e4c50bbab61b3c0dbae62a42678de23ea975ac966f58 +kv ff dcadf97aa3114d32314d44920b90786c1ca8259a4d0c03b18971aeb96796f7d0 +snap bde5770d34df273283c81dac8fbc1e4b4f6b2c08c1f0eb739cd18da3f52cd2b7 +prefix '' +hash bde5770d34df273283c81dac8fbc1e4b4f6b2c08c1f0eb739cd18da3f52cd2b7 +proof '' + +prefix 00 +hash a77384d66a7391fa54f4cd799bda24177d138b6167ae7cd3913501497aac87ad +proof 01 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2e64cdef833deb3356a5e083b7cfc0a630088e879857ed39e784aae31ed6bedc + diff --git a/mpt/testdata/verify.txt b/mpt/testdata/verify.txt index 8a729c9..3d323df 100644 --- a/mpt/testdata/verify.txt +++ b/mpt/testdata/verify.txt @@ -1,4 +1,4 @@ -# Test vectors for mpt.Verify, generated by gen.go. +# Test vectors for mpt.VerifyLookup, generated by gen.go. # # Each test sets state with snap, key, val, and proof lines, # then calls verify to check the result. Blank lines and lines @@ -11,8 +11,13 @@ # val - - set val to empty and ok=false # proof HEXPROOF - set the proof (hex bytes, spaces ok) # proof '' - set the proof to empty (zero-length) -# verify true - Verify should succeed (return nil) -# verify false - Verify should fail (return error) +# verify true - VerifyLookup should succeed (return nil) +# verify false - VerifyLookup should fail (return error) +# prefix HEXPREFIX - set the key prefix +# prefix '' - set the key prefix to empty (zero-length) +# hash HEXHASH - set the claimed subtree hash +# verifyprefix true - VerifyPrefix should succeed (return nil) +# verifyprefix false - VerifyPrefix should fail (return error) # # Proof lines may be continued with \ at end of line; # continuation lines conventionally start with a tab. @@ -831,3 +836,157 @@ val aa proof 00 6ff5eff8d59bc26df2bbaeb7b9ccfbead59f32aa4499f1ced48245f05265c361 verify false +# === Prefix proofs === + +# Empty tree: empty proof proves no keys have the prefix. +snap e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +prefix 61 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' +verifyprefix true + +# Empty tree: a non-empty subtree cannot be claimed. +snap e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +prefix 61 +hash 0a0369a8dc42658354e0c10425f84a0c95226ba213f2cf571cc056cb757434a2 +proof '' +verifyprefix false + +# Whole tree: the empty prefix selects the root, with no path steps. +snap 43afcb9516e9131a637a0a229d66e0575751ef61c978fe23d102898374169c95 +prefix '' +hash 43afcb9516e9131a637a0a229d66e0575751ef61c978fe23d102898374169c95 +proof '' +verifyprefix true + +# Prefix ab: subtree holding ab, abc, and abd. +snap 43afcb9516e9131a637a0a229d66e0575751ef61c978fe23d102898374169c95 +prefix 6162 +hash ca9fe5ddf183a3bb75bd8ceb97fb80d676a23e87a5c2333c539aeeb2b3f0465c +proof 09 1b5160d7a8402e28939ea9a1bda22335c8876901de1fe4ea7adb8c8a41172dfb \ + 06 5a442e4e8c7f90e5f4eefafcb0f933eac12e5848f6399a13f46e33769f5d42d1 +verifyprefix true + +# Prefix ab: valid proof but wrong subtree hash. +snap 43afcb9516e9131a637a0a229d66e0575751ef61c978fe23d102898374169c95 +prefix 6162 +hash 359bd0d85274f5e2824deec9e05c594f3cc3812439d98de16b054905ffea6c56 +proof 09 1b5160d7a8402e28939ea9a1bda22335c8876901de1fe4ea7adb8c8a41172dfb \ + 06 5a442e4e8c7f90e5f4eefafcb0f933eac12e5848f6399a13f46e33769f5d42d1 +verifyprefix false + +# Prefix ab: valid proof but wrong snapshot. +snap 8810ad581e59f2bc3928b261707a71308f7e139eb04820366dc4d5c18d980225 +prefix 6162 +hash ca9fe5ddf183a3bb75bd8ceb97fb80d676a23e87a5c2333c539aeeb2b3f0465c +proof 09 1b5160d7a8402e28939ea9a1bda22335c8876901de1fe4ea7adb8c8a41172dfb \ + 06 5a442e4e8c7f90e5f4eefafcb0f933eac12e5848f6399a13f46e33769f5d42d1 +verifyprefix false + +# Prefix ab: truncated proof. +snap 43afcb9516e9131a637a0a229d66e0575751ef61c978fe23d102898374169c95 +prefix 6162 +hash ca9fe5ddf183a3bb75bd8ceb97fb80d676a23e87a5c2333c539aeeb2b3f0465c +proof 091b5160d7a8402e28939ea9a1bda22335c8876901de1fe4ea7adb8c8a41172dfb065a442e4e8c7f90e5f4eefafcb0f933eac12e5848f6399a13f46e33769f5d42 +verifyprefix false + +# Prefix ab: proof with trailing garbage. +snap 43afcb9516e9131a637a0a229d66e0575751ef61c978fe23d102898374169c95 +prefix 6162 +hash ca9fe5ddf183a3bb75bd8ceb97fb80d676a23e87a5c2333c539aeeb2b3f0465c +proof 091b5160d7a8402e28939ea9a1bda22335c8876901de1fe4ea7adb8c8a41172dfb065a442e4e8c7f90e5f4eefafcb0f933eac12e5848f6399a13f46e33769f5d42d100 +verifyprefix false + +# Prefix abc: the single abc leaf. +snap 43afcb9516e9131a637a0a229d66e0575751ef61c978fe23d102898374169c95 +prefix 616263 +hash 0987b6fad861efd3a5c1bb97c83bb582ea30b169706117ebd140d30427656a35 +proof 15 e1054df3e89d71b0fd26e268d1b49ce86a4dbc880dddb929bc978048e180fedc \ + 11 c4d32c94bd7b8f8ce32f97510a90271185bacb894d27514744d9c5c326c9d251 \ + 09 1b5160d7a8402e28939ea9a1bda22335c8876901de1fe4ea7adb8c8a41172dfb \ + 06 5a442e4e8c7f90e5f4eefafcb0f933eac12e5848f6399a13f46e33769f5d42d1 +verifyprefix true + +# Prefix ab: claiming abc's subtree omits ab and abd, so it must fail. +# Its first path step splits at a bit index inside abc but past ab. +snap 43afcb9516e9131a637a0a229d66e0575751ef61c978fe23d102898374169c95 +prefix 6162 +hash 0987b6fad861efd3a5c1bb97c83bb582ea30b169706117ebd140d30427656a35 +proof 15 e1054df3e89d71b0fd26e268d1b49ce86a4dbc880dddb929bc978048e180fedc \ + 11 c4d32c94bd7b8f8ce32f97510a90271185bacb894d27514744d9c5c326c9d251 \ + 09 1b5160d7a8402e28939ea9a1bda22335c8876901de1fe4ea7adb8c8a41172dfb \ + 06 5a442e4e8c7f90e5f4eefafcb0f933eac12e5848f6399a13f46e33769f5d42d1 +verifyprefix false + +# Prefix ab: claiming the whole tree succeeds. The proof is one-sided: +# it shows the subtree holds every key with the prefix, not that it +# holds nothing else. +snap 43afcb9516e9131a637a0a229d66e0575751ef61c978fe23d102898374169c95 +prefix 6162 +hash 43afcb9516e9131a637a0a229d66e0575751ef61c978fe23d102898374169c95 +proof '' +verifyprefix true + +# Prefix a-NUL: key a padded with NUL then FFs, so only a matches. +snap 43afcb9516e9131a637a0a229d66e0575751ef61c978fe23d102898374169c95 +prefix 6100 +hash 1b5160d7a8402e28939ea9a1bda22335c8876901de1fe4ea7adb8c8a41172dfb +proof 09 ca9fe5ddf183a3bb75bd8ceb97fb80d676a23e87a5c2333c539aeeb2b3f0465c \ + 06 5a442e4e8c7f90e5f4eefafcb0f933eac12e5848f6399a13f46e33769f5d42d1 +verifyprefix true + +# Prefix z: no keys, proved by the path to the key reached instead. +snap 43afcb9516e9131a637a0a229d66e0575751ef61c978fe23d102898374169c95 +prefix 7a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof 01 62 \ + 20 016a4fde9eff72a846636f8e5981cabc9e7d34041a6e9080691259fc9d2bffa8 \ + 09 8875ec1c603c607cf5bc826bf708f80c03749c65bde8e881e2a8041ce6908a24 \ + 06 74a176e2a07a977ba3d7377077b552cb34ed7e718b6afa66bd12d0c5d159f4f5 +verifyprefix true + +# Prefix z: the same claim needs a proof in a non-empty tree. +snap 43afcb9516e9131a637a0a229d66e0575751ef61c978fe23d102898374169c95 +prefix 7a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof '' +verifyprefix false + +# Prefix b: claiming no keys, but the path ends at a key with the prefix. +snap 43afcb9516e9131a637a0a229d66e0575751ef61c978fe23d102898374169c95 +prefix 62 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof 01 62 \ + 20 016a4fde9eff72a846636f8e5981cabc9e7d34041a6e9080691259fc9d2bffa8 \ + 09 8875ec1c603c607cf5bc826bf708f80c03749c65bde8e881e2a8041ce6908a24 \ + 06 74a176e2a07a977ba3d7377077b552cb34ed7e718b6afa66bd12d0c5d159f4f5 +verifyprefix false + +# Prefix ab: claiming no keys, but ab is in the tree. +snap 43afcb9516e9131a637a0a229d66e0575751ef61c978fe23d102898374169c95 +prefix 6162 +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof 02 6162 \ + 20 abe467d489e015bad64e5412d8a26ef3337bc8655978328fc6a9e8087e59c46a \ + 11 6555d6b369af643b735c917fee3c73d6046a96602065de1110591f547de8d776 \ + 09 1b5160d7a8402e28939ea9a1bda22335c8876901de1fe4ea7adb8c8a41172dfb \ + 06 5a442e4e8c7f90e5f4eefafcb0f933eac12e5848f6399a13f46e33769f5d42d1 +verifyprefix false + +# Prefix z: valid proof but wrong snapshot. +snap 8810ad581e59f2bc3928b261707a71308f7e139eb04820366dc4d5c18d980225 +prefix 7a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof 01 62 \ + 20 016a4fde9eff72a846636f8e5981cabc9e7d34041a6e9080691259fc9d2bffa8 \ + 09 8875ec1c603c607cf5bc826bf708f80c03749c65bde8e881e2a8041ce6908a24 \ + 06 74a176e2a07a977ba3d7377077b552cb34ed7e718b6afa66bd12d0c5d159f4f5 +verifyprefix false + +# Prefix z: valid proof with a corrupted sibling hash. +snap 43afcb9516e9131a637a0a229d66e0575751ef61c978fe23d102898374169c95 +prefix 7a +hash e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 +proof 016220016a4fde9eff72a846636f8e5981cabc9e7d34041a6e9080691259fc9d2bffa8098875ec1c603c607cf5bc826bf708f80c03749c65bde8e881e2a8041ce6908a240674a176e2a07a977ba3d7377077b552cb34ed7e718b6afa66bd12d0c5d159f475 +verifyprefix false + diff --git a/mpt/tree.go b/mpt/tree.go index 1cccd07..c516b66 100644 --- a/mpt/tree.go +++ b/mpt/tree.go @@ -15,7 +15,7 @@ // came from the recorded database history. // // To use the package, see the [Tree] interface, the [New] and [Create] constructors, -// and the [Verify] function. +// and the [VerifyLookup] function. // The rest of this doc comment describes the tree and proof encodings // in enough detail to build an alternate wire-compatible implementation. // @@ -23,7 +23,7 @@ // // The tree format used in this package is as follows. // -// Conceptually, start with a complete [binary trie] of arbitrary height H, +// Conceptually, start with a [binary trie] of arbitrary height H, // where H is larger than the number of bits in any key to be stored. // Each key-value pair is placed in the tree at the node reached by // starting at the root of the tree and following a path making @@ -35,7 +35,9 @@ // First, the tree is “path-compressed,” by removing inner nodes with a single child: // a node that would have pointed at a single-child node // is replaced by its child, recursively. -// Every node is therefore either a leaf or an inner node with two children. +// Every node is therefore either a leaf or an inner node with two children +// whose keys agree until, but then differ at, bit position B. +// The inner node stores B and pointers to the two children. // The path compression ensures that there are exactly N inner nodes for a tree with N+1 leaf nodes, // and it makes the height of the tree depend only on the specific set of keys, // not on the arbitrary height H. @@ -57,8 +59,14 @@ // This implies that we can batch or otherwise reorder insertions of distinct keys // without affecting the final tree structure. // -// Although this package does not yet support them, the tree structure -// described here supports keys of varying length. +// The prefix property also implies that for any given prefix P of some stored key K, +// the set of keys starting with prefix P form a distinct subtree of the tree +// rooted at the node corresponding to the longest common prefix shared +// by all those keys (which must in turn start with P). +// That subtree root node may be K's leaf, the overall tree root, or some inner +// node between them. +// +// The tree structure described here supports keys of varying length. // However, in such a tree, a lookup for a short key may need to compare // additional bits to distinguish the short key from a longer key with // the short key as a prefix. In this case, we define that a key of L bytes @@ -69,13 +77,17 @@ // The subsequent 0xFF bytes ensure that two distinct keys never have // the same padded bit sequence, even when one key is a prefix of the other. // +// (Padding with a single repeated byte would not ensure distinct +// extensions for distinct keys. For example, if the padding was +// all 0x00 bytes, then "ABC" and "ABC\x00" would look identical when padded.) +// // # Tree Snapshots // // A tree snapshot is defined as the hash of a tree, defined as follows, where H = SHA256. // // - The hash of an empty tree is the hash of an empty (zero-length) input (e3b0c442...7852b855). // - The hash of a leaf node is the hash of a zero byte followed by the length-prefixed key and length-prefixed value: H(0 || len(key) || key || len(val) || val). -// - The hash of an inner node is the hash a one byte followed by the node's bit position and its left and right children's hashes: H(1 || bit || left-hash || right-hash). +// - The hash of an inner node is the hash a one byte followed by the node's bit position B and its left and right children's hashes: H(1 || B || left-hash || right-hash). // // The lengths and bit position are [varint-encoded], so that most are one byte. // @@ -84,65 +96,169 @@ // Although this package does not make use of that fact, it does mean that a // large MPT could be split across multiple computers. // -// # Proofs +// # Proofs and How to Verify Them // // A proof cryptographically attests to a claim about the -// presence or absence of a specific key in a specific tree snapshot. -// The claim takes one of two forms: -// -// - The snapshot contains a specific key-value pair. -// - The snapshot does not contain a specific key. -// -// In this package, a claim and proof are returned by the [Tree.Prove] method, -// and the caller is expected to have already used the [Tree.Snapshot] method -// to obtain the snapshot. -// A verifier (possibly on another system) can then pass the snapshot, -// claim, and proof to [Verify] to cryptographically verify the claim. -// -// The proof only contains the supplemental information needed for verification. -// It does not include the snapshot or the claim, so the proof can only be checked -// with respect to a specific snapshot and claim. -// In fact, a single proof may be valid for many (snapshot, claim) pairs. -// -// The specific form of the proof depends on which of three cases is being proved. -// -// 1. If the snapshot is for an empty tree, the proof is empty (zero length). -// It proves any claim that a key is not present. -// -// 2. If the claim is that a specific key-value pair is present in a snapshot, -// then the proof is a concatenation of zero or more (bit, sibling hash) pairs -// giving the path from the key-value leaf node up to the root of the tree. -// The verifier computes the leaf hash from the key and value -// and then computes the hashes of successive parent nodes up to the root, -// checking that the final hash matches the snapshot. -// At each parent node, the key's specified bit position indicates whether -// the hash computed so far is the left or right child hash. -// The sibling hash provides the other. -// In the proof encoding, the bit positions are [varint-encoded]. -// -// 3. If the claim is that a specific key is not present in a non-empty snapshot, -// then a lookup for key in the tree must instead end at some pair altkey-altval, -// where altkey ≠ key. The proof consists of the altkey-altval pair, including -// varint-encoded length prefixes, followed by the proof that altkey-altval -// is in the tree (as in case 2). -// The verifier proceeds as in case 2 to confirm that altkey-altval is in the snapshot. -// Along the way, it must also check that key and altkey agree at every bit position -// in the path, confirming that the lookup for key would indeed end at altkey instead. -// -// For a tree storing N-bit keys, the longest existence proof is N-1 (bit, sibling hash) pairs, -// while the longest non-existence proof is a key, a value, and N (bit, sibling hash) pairs. -// In both cases the worst case length is dominated by the hashes, about 32N bytes. -// A tree using random keys (for example, using SHA256 hashes as keys) +// presence or absence of a specific key or subtree +// in a specific tree snapshot. +// A verifier takes as input a snapshot tree hash, +// a claim, and a proof, and it checks whether the proof is valid. +// +// If a snapshot's tree hash is the empty tree hash (SHA256 of the empty input), +// then the tree is known to be empty, the proof is always an empty string, +// and verification consists of checking whether the claim is true of an empty tree. +// The rest of this discussion only considers claims about non-empty trees. +// +// The proofs and verification algorithms for specific claims are +// all derived from the following general form. +// +// A “path proof” consists of a key-val pair and then the bit index and +// sibling hash for each inner node from the key-val leaf up to +// the root: +// +// len(key) || key || len(val) || val || B₁ || H₁ || B₂ || H₂ || ... || B_N || H_N +// +// (The bit indexes B_i must be strictly decreasing.) +// +// The path proof includes all the information necessary to recompute +// the overall tree hash: +// +// hash = H(0 || len(key) || key || len(val) || val) +// hash = H(1 || B₁ || hash || H₁) or H(1 || B₁ || H₁ || hash), +// depending on whether bit B₁ of key is 0 or 1 +// hash = H(1 || B₂ || hash || H₂) or H(1 || B₂ || H₂ || hash) +// ... +// hash = H(1 || B_N || hash || H_N) or H(1 || B_N || H_N || hash) +// +// Note that bit at index B_i in the key determines whether H_i +// is the left or right input hash. +// +// “Path verification” is the process of computing the final hash +// from the path proof and checking that it matches the snapshot's +// tree hash. If it does, that proves that the snapshot includes +// key-val correctly indexed. +// +// For a tree storing N-bit keys, the longest possible path proof is a key, a value, +// and N (bit, sibling hash) pairs. That worst case length is dominated by the hashes, +// about 32N bytes. A tree using random keys (for example, using SHA256 hashes as keys) // would of course never reach this maximum length for any sizable N. // // Note that this encoding is considerably more compact than some others. // In particular, the [Rust akd crate's MembershipProof] includes the inner node key // and sibling key for each step in the path, tripling the size of the proofs. // +// # Key Proofs +// +// [Tree.Path](key) returns the path proof for key. +// The path ends at key's own leaf if key is in the tree +// and at a different leaf if it is not. +// +// [ProveLookup](key, path) reduces that path proof to (val, ok, proof), +// claiming either that the key does not appear in the tree (ok=false) +// or that it does appear with associated value val (ok=true). +// [VerifyLookup](snap, key, val, ok, proof) verifies the claim. +// +// To claim that a snapshot does not contain a specific key, +// the proof is the path proof for the alternate altkey-altval +// that would be reached by a lookup for key. +// +// To verify the claim, run path verification, check that +// altkey and key agree at every bit index B_i in the path, +// and check that altkey ≠ key. (Altkey and key must differ at some +// bit index not used in the path.) +// +// To claim that a snapshot contains a specific key-val pair, +// the proof is a path proof shortened by omitting key and val. +// +// To verify the claim, run path verification using the key +// and val passed to VerifyLookup. +// +// # Prefix Proofs +// +// [ProvePrefix](prefix, path) reduces the path proof returned by +// [Tree.Path](prefix) to (hash, proof), where hash is the +// hash of a (possibly empty) subtree containing all the keys in the +// tree that begin with prefix. [VerifyPrefix](snap, prefix, hash, proof) +// verifies the claim. +// Note that VerifyPrefix does not verify that the subtree +// is minimal. The verified subtree may also include keys with other prefixes. +// This subtlety is discussed in the next section. +// +// Let P be the number of bits in the prefix. +// +// To claim that a snapshot contains no keys with the prefix, +// the subtree hash is the empty tree hash, and the proof is the +// path proof for the altkey-altval reached by looking up +// prefix as if it were a key. +// +// To verify the claim, run path verification on the proof, +// check that altkey and the prefix (padded) agree at every bit index B_i +// in the path, and check that altkey (padded) does not start +// with prefix (unpadded). That is, altkey and prefix must differ at +// some bit index B < P not used in the path. +// +// Note: from the standpoint of strict correctness, it would suffice +// for the prover to choose and look up _any_ padding of prefix +// and for the verifier not to check that altkey's bits at indexes +// B ≥ P. However, this would create multiple correct answers +// for any particular ProvePrefix call, complicating conformance testing. +// We choose to require that prefix be padded like a key +// to force a specific answer from ProvePrefix and also to allow +// provers to reuse their key lookup logic. +// If there are no keys with prefix P in a tree, +// then the negative claims from ProveLookup(P) and ProvePrefix(P) +// share the same proof. +// +// To claim that a snapshot's subtree includes all keys with the prefix, +// the proof is a path proof corresponding to looking up prefix as a key, +// but the proof omits the steps that lead to the subtree hash. +// That is, the proof is: +// +// B_k || H_k || B_{k+1} || H_{k+1} || ... || B_N || H_N +// +// To verify the claim, check that B_k < P (the subtree is not more +// specific than the prefix). Then assume that path verification +// up to B_k produced the subtree hash and complete the verification, +// walking the rest of the way to the root, using prefix bits to +// decide whether each H_i is a left or right sibling. +// +// # One-Sided Weakness of Prefix Proofs +// +// As noted above, this verification only proves that the subtree +// must contain all the keys starting with the prefix. +// The subtree may contain other keys as well. In the most extreme case, +// if hash = snap (claiming the entire tree as the subtree), then +// +// VerifyPrefix(snap, prefix, hash, empty-proof) +// +// always succeeds, regardless of whether the tree is entirely keys +// starting with prefix, entirely keys not starting with prefix, +// or a mixture. +// +// Although a claim of too large a subtree will verify, +// a claim of too small a subtree (excluding some keys starting +// with the prefix) will not verify, because such a claim would +// have to split the key space beyond the prefix length +// by using B_k ≥ P, and the verifier checks B_k < P. +// +// The one-sided weakness of the claim is not a problem in practice, +// since to fully check the map, the caller must also obtain +// all the key-val pairs starting with prefix and use them to +// recompute the subtree hash. While doing that, the caller can also +// check that all the keys start with prefix. If they do, then +// the subtree is not too large. +// +// An alternate design would be to have ProvePrefix return the +// full path proof, checking that the subtree hash matches the +// reconstructed hash before the first B_k < P. +// However, these proofs would be longer for no practical benefit: +// the caller would still need to obtain the full key-val pair list +// to check the stored values. +// +// [Rust akd crate's MembershipProof]: https://docs.rs/akd/0.12.0/akd/struct.MembershipProof.html // [binary trie]: https://en.wikipedia.org/wiki/Trie // [transparent log]: https://research.swtch.com/tlog // [varint-encoded]: https://protobuf.dev/programming-guides/encoding/#varints -// [Rust akd crate's MembershipProof]: https://docs.rs/akd/0.12.0/akd/struct.MembershipProof.html package mpt import ( @@ -154,6 +270,7 @@ import ( "fmt" "iter" "math/bits" + "slices" ) // A Tree is a Merkle Patricia Tree implementation. @@ -190,25 +307,44 @@ type Tree interface { // set the version. Snap(version int64) (Snapshot, error) - // Prove looks up key in the tree and returns a claimed - // associated value (if any) and whether the key is present at all, - // along with a proof of those two claimed results. - // Use [Verify] to verify the proof before trusting the claims. + // Path returns the path proof for key in the tree. + // If key is present in the tree, the path ends at key's own leaf. + // Otherwise the path ends at the leaf holding the different key + // where the lookup for key stopped. + // If the tree is empty, the path proof is empty (but non-nil). // - // If Prove returns normally (with err == nil), then proof is non-nil, - // although it may be empty. + // Path is the raw material for the claims made by [ProveLookup] and + // [ProvePrefix]: ProveLookup(key, path) reduces the path returned by + // Path(key) to a key lookup claim and its proof, and + // ProvePrefix(prefix, path) reduces the path returned by + // Path(prefix) to a prefix claim and its proof. // - // If Prove returns a non-nil error error, then val is Val{}, - // ok is false, and proof is nil. + // If Path returns successfully (with err == nil), then proof is non-nil, + // although it may be empty. If Path returns a non-nil error, + // then proof is nil. // - // Prove is a read-only operation and can be called - // concurrently with other calls to Prove, but not other - // calls to Set or Snap. + // Path is a read-only operation and can be called + // concurrently with other read-only calls and uses of iterators, + // but not with calls to Set or Snap. // - // It is an error to call Prove if Set has been called without + // It is an error to call Path if Set has been called without // a subsequent call to Snap: in that case, the caller does not // know what the root hash is, so the proof will be unverifiable. - Prove(key Key) (val Val, ok bool, proof Proof, err error) + Path(key Key) (proof Proof, err error) + + // Scan returns an iterator over all key-value pairs in the tree + // with the given prefix (according to [Key.HasPrefix]), + // in key order (according to [Key.Compare]). + // + // While iterating, the slices in the returned KeyVal must not + // be modified and are only valid during the iteration step in + // which they are returned. The caller must clone them if they + // need to be retained. + // + // Scan and the returned iterator are read-only operations + // and can be called concurrently with other read-only calls + // and uses of iterators, but not with calls to Set or Snap. + Scan(prefix []byte) iter.Seq2[KeyVal, error] // Sync flushes all changes from past Set and Snap calls to // the underlying files and then calls the files' Sync methods @@ -240,7 +376,7 @@ type Tree interface { Close() error } -// ErrModifiedTree indicates that Prove was called after a Set without a Snap. +// ErrModifiedTree indicates that Path was called after a Set without a Snap. var ErrModifiedTree = errors.New("tree modified without snapshot") // ErrInvalidPredict indicates that Predict was passed a set of @@ -266,6 +402,20 @@ func checkChanges(changes []KeyVal) error { // A Key is a key used by a Tree. // It is usually a cryptographic hash of the actual key data. // A Key can be at most MaxKeyLen bytes. +// +// For purposes of comparison (using [Key.Compare] and [Key.HasPrefix]) +// a Key is considered to be an infinite stream that starts with the +// bytes in the slice and continues with the infinite byte sequence “00 FF FF FF...” +// (one 0x00 byte and then an infinite number of 0xFF bytes). +// This convention is necessary in general because the MPT data structure +// requires that no key be a prefix of another key except when the two keys are equal. +// However, the nuance can be ignored in two very common cases: +// +// - When all keys are the same length (for example, when keys are fixed-length hash outputs). +// - When all keys do not contain NUL bytes (for example, when keys are text). +// +// In both of these cases, [Key.Compare] and [Key.HasPrefix] are equivalent +// to [bytes.Compare] and [bytes.HasPrefix]. type Key []byte const ( @@ -294,10 +444,16 @@ var ( ErrValSize = errors.New("val too large") ) +// String returns the key encoded in hexadecimal. func (k Key) String() string { return hex.EncodeToString(k[:]) } +// Clone returns a copy of the key. +func (k Key) Clone() Key { + return slices.Clone(k) +} + // bit returns the n'th bit of the key. func (k Key) bit(n int) int { return bit(k, n) @@ -363,17 +519,33 @@ func (p Key) overlap(q Key) int { // Compare returns the result of comparing two keys, // using the order in which the keys will appear in a [Tree]. -// Compare often agrees with [bytes.Compare]. -// In particular it is the same as [bytes.Compare] when -// keys have fixed length, when no key can be a prefix of another, -// or when keys do not contain NUL bytes. -// In the general case, however, Compare returns -// bytes.Compare(k+pad, k2+pad) where pad is the infinite byte sequence “00 FF FF FF...”. -func (p Key) Compare(q Key) int { - c, _ := p.cmp(q) +// +// Compare usually agrees with [bytes.Compare], but not always. +// See the [Key] documentation for more details. +func (k Key) Compare(other Key) int { + c, _ := k.cmp(other) return c } +// HasPrefix reports whether k begins with the given prefix. +// +// HasPrefix usually agrees with [bytes.HasPrefix], but not always. +// See the [Key] documentation for more details. +func (k Key) HasPrefix(prefix []byte) bool { + return bytes.HasPrefix(k, prefix) || + len(prefix) > len(k) && bytes.Equal(prefix[:len(k)], k) && prefix[len(k)] == 0x00 && allFF(prefix[len(k)+1:]) +} + +// allFF reports whether b is all 0xFF bytes. +func allFF(b []byte) bool { + for _, c := range b { + if c != 0xFF { + return false + } + } + return true +} + // A Val is a value stored in a Tree. // It is usually a cryptographic hash of the actual value data. type Val []byte @@ -382,18 +554,28 @@ func (v Val) String() string { return hex.EncodeToString(v[:]) } +// Clone returns a copy of the value. +func (v Val) Clone() Val { + return slices.Clone(v) +} + // KeyVal is a key-value pair. type KeyVal struct { Key Key Val Val } -// Compare returns the result of comparing keys kv.Key and other.Key. +// CompareKey returns the result of comparing keys kv.Key and other.Key. // It ignores the Val fields. -func (kv KeyVal) Compare(other KeyVal) int { +func (kv KeyVal) CompareKey(other KeyVal) int { return kv.Key.Compare(other.Key) } +// Equal reports whether kv and other have equal keys and values. +func (kv KeyVal) Equal(other KeyVal) bool { + return bytes.Equal(kv.Key, other.Key) && bytes.Equal(kv.Val, other.Val) +} + // A keyPrefix is a prefix of a key, identifying a specific node. type keyPrefix struct { // bits is the prefix length in bits (0..maxKeyBits, inclusive). @@ -468,25 +650,71 @@ func (h Hash) String() string { return hex.EncodeToString(h[:]) } +// EmptyTreeHash returns the hash of an empty tree. +// It is equal to TreeHash of an empty sequence. +func EmptyTreeHash() Hash { + return emptyTreeHash +} + +var emptyTreeHash Hash = sha256.Sum256(nil) + // TreeHash computes the snapshot hash of a tree consisting of // the sequence of key-value items. // // The sequence must be sorted by increasing -// key value (such as by [Key.Compare] or [KeyVal.Compare]), +// key value (such as by [Key.Compare] or [KeyVal.CompareKey]), // and a key cannot appear multiple times in the list. -// TreeHash panics if the sequence is not sorted or a key appears twice. +// TreeHash panics with ErrKeyOrder +// if the sequence is not sorted or a key appears twice. // // Use [slices.Values] to apply TreeHash to a slice of KeyVal. func TreeHash(seq iter.Seq[KeyVal]) Hash { var s []node + var last Key for kv := range seq { - s = reduce(append(s, node{prefix(kv.Key, maxKeyBits), hashLeaf(kv.Key, kv.Val)})) + if last != nil && last.Compare(kv.Key) >= 0 { + panic(ErrKeyOrder) + } + if last == nil { + last = []byte{} + } + last = append(last[:0], kv.Key...) + // TODO: Could be more careful about reusing key buffers in the node stack. + s = reduce(append(s, node{prefix(kv.Key.Clone(), maxKeyBits), hashLeaf(kv.Key, kv.Val)})) } return hashStack(s) } -// A Proof is a proof of the result of looking up a target key in a -// specific snapshot of a Tree. +// TreeHashErr computes the snapshot hash of a tree consisting of +// the sequence of key-value items. +// +// The sequence must be sorted by increasing +// key value (such as by [Key.Compare] or [KeyVal.CompareKey]), +// and a key cannot appear multiple times in the list. +// TreeHashErr returns ErrKeyOrder if the sequence is not sorted or a key appears twice. +// It also returns any error yielded by the iterator. +func TreeHashErr(seq iter.Seq2[KeyVal, error]) (Hash, error) { + var s []node + var last Key + for kv, err := range seq { + if err != nil { + return Hash{}, err + } + if last != nil && last.Compare(kv.Key) >= 0 { + return Hash{}, ErrKeyOrder + } + if last == nil { + last = []byte{} + } + last = append(last[:0], kv.Key...) + // TODO: Could be more careful about reusing key buffers in the node stack. + s = reduce(append(s, node{prefix(kv.Key.Clone(), maxKeyBits), hashLeaf(kv.Key, kv.Val)})) + } + return hashStack(s), nil +} + +// A Proof is a proof of the result of looking up a target key +// or key prefix in a specific snapshot of a Tree. type Proof []byte var ( @@ -495,20 +723,117 @@ var ( // ErrInvalidLookup indicates that ok is false but val is non-empty. ErrInvalidLookup = errors.New("invalid mpt lookup result") + + // ErrKeyOrder indicates that a KeyVal sequence is out of order + // or contains duplicates. + ErrKeyOrder = errors.New("mpt keys out of order") + + // ErrInvalidPath indicates that a path proof passed to [ProveLookup] + // or [ProvePrefix] is not well-formed. This cannot happen for a + // path returned by [Tree.Path]. + ErrInvalidPath = errors.New("invalid mpt path proof") ) -// Verify verifies that p is a valid proof that a lookup for key in snap +// ProveLookup reduces the path proof returned by [Tree.Path](key) to the +// claimed result of a lookup for key, along with a proof of that claim: +// either key is not in the tree (ok is false) or it is present with +// value val (ok is true). The proof can be verified with [VerifyLookup]. +// +// ProveLookup returns an error only if path is malformed. +// That cannot happen for a path returned by Tree.Path. +func ProveLookup(key Key, path Proof) (val Val, ok bool, proof Proof, err error) { + if len(path) == 0 { + // Empty tree, so key is certainly not present. + return nil, false, Proof{}, nil + } + pkey, pval, rest, wellFormed := cutPathLeafErr(path) + if !wellFormed { + return nil, false, nil, ErrInvalidPath + } + if !bytes.Equal(pkey, key) { + // The lookup for key ended at a different key, + // so key is not in the tree. The proof is the whole path, + // including the alternate key-value pair. + return nil, false, path, nil + } + // The lookup found key. [VerifyLookup] recomputes the leaf hash from the + // key and val it is given, so the proof omits them. + return pval, true, rest, nil +} + +// ProvePrefix reduces the path proof returned by [Tree.Path](prefix) to a +// claimed tree hash for the subtree holding every key-value pair whose key +// starts with prefix, along with a proof of that claim. +// If no key starts with prefix, the claimed hash is [EmptyTreeHash]. +// The proof can be verified with [VerifyPrefix]. +// +// ProvePrefix returns an error only if path is malformed. +// That cannot happen for a path returned by Tree.Path. +func ProvePrefix(prefix []byte, path Proof) (Hash, Proof, error) { + if len(path) == 0 { + // Empty tree, so no key starts with prefix. + return emptyTreeHash, Proof{}, nil + } + pkey, pval, rest, wellFormed := cutPathLeafErr(path) + if !wellFormed { + return Hash{}, nil, ErrInvalidPath + } + if !Key(pkey).HasPrefix(prefix) { + // Looking up prefix as a key ended at a key not starting with prefix. + // Since any key starting with prefix would have been reached instead, + // no key in the tree starts with prefix, and the whole path proves it. + return emptyTreeHash, path, nil + } + + // Looking up prefix as a key ended inside the subtree of keys starting + // with prefix. Walking up from that leaf, each node splitting at a bit + // index at or past the end of the prefix is still inside the subtree; + // the first node splitting at an earlier bit index is the subtree's parent. + // So the hash computed just before that node is the subtree hash, + // and the remaining steps are the proof. + pbits := 8 * len(prefix) + h := hashLeaf(pkey, pval) + for len(rest) > 0 { + b, sib, next, wellFormed := cutPathStepErr(rest) + if !wellFormed { + return Hash{}, nil, ErrInvalidPath + } + if b < pbits { + break + } + if bit(pkey, b) == 0 { + h = hashInner(b, h, sib) + } else { + h = hashInner(b, sib, h) + } + rest = next + } + return h, rest, nil +} + +// cutPathStepErr cuts the leading (bit index, sibling hash) step from the +// path proof path, returning the step, the remaining path steps, and +// whether path began with a well-formed step. +func cutPathStepErr(path Proof) (b int, sib Hash, rest Proof, ok bool) { + ub, n := binary.Uvarint(path) + if n <= 0 || ub >= maxKeyBits || len(path)-n < 32 { + return 0, Hash{}, nil, false + } + return int(ub), Hash(path[n : n+32]), path[n+32:], true +} + +// VerifyLookup verifies a proof that a lookup for key in snap // should return the result (val, ok). -// If the proof is not valid, Verify returns a non-nil error. +// If the proof is not valid, VerifyLookup returns a non-nil error. // // [VerifyPresent] and [VerifyNotPresent] are convenience functions -// that wrap Verify. -func Verify(snap Snapshot, key, val []byte, ok bool, proof Proof) error { +// that wrap VerifyLookup. +func VerifyLookup(snap Snapshot, key, val []byte, ok bool, proof Proof) error { if !ok && len(val) != 0 { return ErrInvalidLookup } if !ok && len(proof) == 0 { - if snap.Hash == emptyTreeHash() { + if snap.Hash == emptyTreeHash { return nil } return ErrInvalidProof @@ -536,21 +861,45 @@ func Verify(snap Snapshot, key, val []byte, ok bool, proof Proof) error { h = hashLeaf(pkey, pval) } - b := 1 << 30 + h, err := verifyPath(h, key, pkey, anyBit, proof) + if err != nil { + return err + } + if h != snap.Hash { + return ErrInvalidProof + } + return nil +} + +// anyBit is the maxBit to pass to [verifyPath] to impose no bound +// of its own. It is far above [maxKeyBits], the largest bit index +// any tree can produce. +const anyBit = 1 << 30 + +// verifyPath runs path verification on the (bit index, sibling hash) steps +// in proof, starting from the hash h computed for the end of the path and +// returning the hash computed for the start of the path (the tree root). +// +// The bit indexes must be strictly decreasing, starting below maxBit. +// The bits of key at those indexes decide whether each sibling hash is a +// left or right input, and they must match the bits of pkey, the key +// whose leaf the path actually ends at. +func verifyPath(h Hash, key, pkey []byte, maxBit int, proof Proof) (Hash, error) { + b := maxBit for len(proof) > 0 { ub, n := binary.Uvarint(proof) if n <= 0 || ub >= uint64(b) { - break + return Hash{}, ErrInvalidProof } b = int(ub) proof = proof[n:] if len(proof) < 32 { - return ErrInvalidProof + return Hash{}, ErrInvalidProof } var sib Hash sib, proof = Hash(proof[:32]), proof[32:] if bit(key, b) != bit(pkey, b) { - return ErrInvalidProof + return Hash{}, ErrInvalidProof } if bit(key, b) == 0 { h = hashInner(b, h, sib) @@ -558,20 +907,84 @@ func Verify(snap Snapshot, key, val []byte, ok bool, proof Proof) error { h = hashInner(b, sib, h) } } - if len(proof) != 0 || h != snap.Hash { - return ErrInvalidProof - } - return nil + return h, nil } -// VerifyPresent is shorthand for [Verify](snap, key[:], val[:], true, proof). +// VerifyPresent is shorthand for [VerifyLookup](snap, key[:], val[:], true, proof). func VerifyPresent(snap Snapshot, key Key, val Val, proof Proof) error { - return Verify(snap, key[:], val[:], true, proof) + return VerifyLookup(snap, key[:], val[:], true, proof) } -// VerifyNotPresent is shorthand for [Verify](snap, key[:], nil, false, proof). +// VerifyNotPresent is shorthand for [VerifyLookup](snap, key[:], nil, false, proof). func VerifyNotPresent(snap Snapshot, key Key, proof Proof) error { - return Verify(snap, key[:], nil, false, proof) + return VerifyLookup(snap, key[:], nil, false, proof) +} + +// VerifyPrefix verifies a proof that the subtree of key-value pairs +// with keys starting with prefix in snap has the given tree hash. +// If the proof is not valid, VerifyPrefix returns an error. +// +// A valid proof establishes that the subtree contains every key-value pair +// whose key starts with prefix. It does not establish that the subtree +// contains nothing else. See the “One-Sided Weakness of Prefix Proofs” +// section in the package documentation. +func VerifyPrefix(snap Snapshot, prefix []byte, hash Hash, proof Proof) error { + if hash == emptyTreeHash { + // Claim: no key in the tree starts with prefix. + if len(proof) == 0 { + // Only an empty tree can make that claim without a proof. + if snap.Hash == emptyTreeHash { + return nil + } + return ErrInvalidProof + } + // The proof is the path proof for looking up prefix as a key. + // It must end at a key that does not start with prefix, + // which proves no such key is in the tree. + altkey, altval, rest, ok := cutPathLeafErr(proof) + if !ok { + return ErrInvalidProof + } + if Key(altkey).HasPrefix(prefix) { + return ErrInvalidProof + } + h, err := verifyPath(hashLeaf(altkey, altval), prefix, altkey, anyBit, rest) + if err != nil { + return err + } + if h != snap.Hash { + return ErrInvalidProof + } + return nil + } + + // Claim: the subtree with the given hash contains every key starting with prefix. + // Path verification resumes at the subtree, so every remaining step must split + // at a bit index inside the prefix; otherwise the claimed subtree could be + // more specific than the prefix and omit some keys starting with prefix. + h, err := verifyPath(hash, prefix, prefix, 8*len(prefix), proof) + if err != nil { + return err + } + if h != snap.Hash { + return ErrInvalidProof + } + return nil +} + +// cutPathLeafErr cuts the leading key-value pair from the path proof +// path, returning the pair, the remaining path steps, and whether path +// began with a well-formed key-value pair. +func cutPathLeafErr(path Proof) (key Key, val Val, rest Proof, ok bool) { + key, rest, ok = cutVar(path) + if !ok { + return nil, nil, nil, false + } + val, rest, ok = cutVar(rest) + if !ok { + return nil, nil, nil, false + } + return key, val, rest, true } // bit returns the n'th bit of the byte slice b, extended with padding. @@ -587,12 +1000,6 @@ func bit(b []byte, n int) int { return 1 } -// emptyTreeHash returns the parent hash for a root no child nodes. -func emptyTreeHash() Hash { - h := sha256.Sum256(nil) - return h -} - // hashLeaf returns the hash of a leaf with a given key and value, // where key and val are variable-length byte slices. // The hash is H(0 || len(key) || key || len(val) || val), @@ -648,7 +1055,7 @@ func reduce(s []node) []node { func hashStack(s []node) Hash { if len(s) == 0 { - return emptyTreeHash() + return emptyTreeHash } for len(s) >= 2 { s = append(s[:len(s)-2], s[len(s)-2].merge(s[len(s)-1])) diff --git a/mpt/tree_test.go b/mpt/tree_test.go index 5368531..2425c2b 100644 --- a/mpt/tree_test.go +++ b/mpt/tree_test.go @@ -203,7 +203,7 @@ func TestPredictRandom(t *testing.T) { for ks, val := range update { edits = append(edits, KeyVal{Key(ks), val}) } - slices.SortFunc(edits, KeyVal.Compare) + slices.SortFunc(edits, KeyVal.CompareKey) // Predict. hash, err := tt.tree.Predict(edits) @@ -341,17 +341,21 @@ func (tt *testTree) get(key Key, val Val, ok bool) { tt.t.Fatalf("Tree.Snap: %v\n\nLog:\n%s", err, &tt.log) } - v, o, proof, err := tt.tree.Prove(key) + path, err := tt.tree.Path(key) if err != nil { - tt.t.Fatalf("Tree.Prove: %v\n\nLog:\n%s", err, &tt.log) + tt.t.Fatalf("Tree.Path: %v\n\nLog:\n%s", err, &tt.log) + } + v, o, proof, err := ProveLookup(key, path) + if err != nil { + tt.t.Fatalf("ProveLookup: %v\n\nLog:\n%s", err, &tt.log) } var vb []byte if o { vb = []byte(v) } - err = Verify(snap, []byte(key), vb, o, proof) + err = VerifyLookup(snap, []byte(key), vb, o, proof) if err != nil { - tt.t.Fatalf("Verify %v: %v\nSnap: %v\nProof: %x\n\nLog:\n%s", key, err, snap, proof, &tt.log) + tt.t.Fatalf("VerifyLookup %v: %v\nSnap: %v\nProof: %x\n\nLog:\n%s", key, err, snap, proof, &tt.log) } if !bytes.Equal([]byte(v), []byte(val)) || o != ok { tt.t.Fatalf("get %v:\nhave %v, %v\nwant %v, %v\n\nLog:\n%s", key, v, o, val, ok, &tt.log) @@ -422,10 +426,11 @@ func benchmarkProof(b *testing.B, tree Tree, treeSize int) { b.ReportAllocs() for b.Loop() { - _, _, _, err := tree.Prove(key) + path, err := tree.Path(key) if err != nil { b.Fatal(err) } + ProveLookup(key, path) } } @@ -488,6 +493,8 @@ func TestVerify(t *testing.T) { key, val []byte ok bool proof Proof + prefix []byte + hash Hash ) lines := strings.Split(string(data), "\n") for i := 0; i < len(lines); i++ { @@ -527,13 +534,29 @@ func TestVerify(t *testing.T) { } case "proof": proof = Proof(decodeHex(t, file, i+1, arg)) + case "prefix": + prefix = decodeHex(t, file, i+1, arg) + case "hash": + b := decodeHex(t, file, i+1, arg) + if len(b) != 32 { + t.Fatalf("line %d: hash must be 32 bytes, got %d", i+1, len(b)) + } + hash = Hash(b) case "verify": want := arg == "true" - result := Verify(Snapshot{Version: 1, Hash: snap}, key, val, ok, proof) + result := VerifyLookup(Snapshot{Version: 1, Hash: snap}, key, val, ok, proof) + if want && result != nil { + t.Errorf("%s:%d: VerifyLookup should succeed but got: %v", file, i+1, result) + } else if !want && result == nil { + t.Errorf("%s:%d: VerifyLookup should fail but succeeded", file, i+1) + } + case "verifyprefix": + want := arg == "true" + result := VerifyPrefix(Snapshot{Version: 1, Hash: snap}, prefix, hash, proof) if want && result != nil { - t.Errorf("%s:%d: Verify should succeed but got: %v", file, i+1, result) + t.Errorf("%s:%d: VerifyPrefix should succeed but got: %v", file, i+1, result) } else if !want && result == nil { - t.Errorf("%s:%d: Verify should fail but succeeded", file, i+1) + t.Errorf("%s:%d: VerifyPrefix should fail but succeeded", file, i+1) } default: t.Fatalf("%s:%d: unknown directive %q", file, i+1, cmd) @@ -613,7 +636,7 @@ func TestTreeHash(t *testing.T) { tests := parseTreeHashTests(t) for _, tc := range tests { kvs := slices.Clone(tc.kvs) - slices.SortFunc(kvs, KeyVal.Compare) + slices.SortFunc(kvs, KeyVal.CompareKey) got := TreeHash(slices.Values(kvs)) if got != tc.hash { t.Errorf("testdata/treehash.txt:%d: TreeHash = %x, want %x", tc.line, got, tc.hash) @@ -636,12 +659,12 @@ func TestTreeImpls(t *testing.T) { }}, {"key_compare_order", func(kvs []KeyVal) []KeyVal { k := slices.Clone(kvs) - slices.SortFunc(k, KeyVal.Compare) + slices.SortFunc(k, KeyVal.CompareKey) return k }}, {"key_compare_order_reverse", func(kvs []KeyVal) []KeyVal { k := slices.Clone(kvs) - slices.SortFunc(k, KeyVal.Compare) + slices.SortFunc(k, KeyVal.CompareKey) slices.Reverse(k) return k }}, @@ -677,7 +700,7 @@ func TestTreeImpls(t *testing.T) { } rem := slices.Clone(kvs[n:]) - slices.SortFunc(rem, KeyVal.Compare) + slices.SortFunc(rem, KeyVal.CompareKey) predictedHash, err := tt.tree.Predict(rem) if err != nil { t.Fatalf("Predict: %v", err) @@ -705,3 +728,295 @@ func TestTreeImpls(t *testing.T) { } }) } + +// A prefixCase is one prefix/hash/proof group from testdata/prefix.txt, +// tested against the tree most recently built by the preceding kv and +// snap lines. +type prefixCase struct { + line int + prefix []byte + hash Hash + proof Proof +} + +// A prefixTreeCase is one kv/snap group from testdata/prefix.txt, +// together with the prefixCases to test against it. +type prefixTreeCase struct { + line int // line of the snap directive + kvs []KeyVal + snapHash Hash + probes []prefixCase +} + +// parsePrefixTests parses testdata/prefix.txt, described in the comment +// at the top of that file (see also testdata/mkprefix.go, which +// generates it). +func parsePrefixTests(t *testing.T) []prefixTreeCase { + t.Helper() + file := "testdata/prefix.txt" + data, err := os.ReadFile(file) + if err != nil { + t.Fatal(err) + } + + var tests []prefixTreeCase + var kvs []KeyVal + var cur *prefixTreeCase + var pending prefixCase + havePrefix, haveHash := false, false + + lines := strings.Split(string(data), "\n") + for i := 0; i < len(lines); i++ { + line := lines[i] + // Join continuation lines (trailing backslash). + for strings.HasSuffix(line, "\\") { + line = line[:len(line)-1] + i++ + if i < len(lines) { + line += lines[i] + } + } + line = strings.TrimSpace(line) + if line == "" || strings.HasPrefix(line, "#") { + continue + } + + cmd, arg, _ := strings.Cut(line, " ") + arg = strings.TrimSpace(arg) + + switch cmd { + case "kv": + parts := strings.Fields(arg) + if len(parts) != 2 { + t.Fatalf("%s:%d: kv needs 2 args", file, i+1) + } + key := decodeHex(t, file, i+1, parts[0]) + val := decodeHex(t, file, i+1, parts[1]) + kvs = append(kvs, KeyVal{Key: key, Val: val}) + case "snap": + b := decodeHex(t, file, i+1, arg) + if len(b) != 32 { + t.Fatalf("%s:%d: snap must be 32 bytes, got %d", file, i+1, len(b)) + } + tests = append(tests, prefixTreeCase{line: i + 1, kvs: kvs, snapHash: Hash(b)}) + cur = &tests[len(tests)-1] + kvs = nil // the next kv lines, if any, belong to the next tree + case "prefix": + if cur == nil { + t.Fatalf("%s:%d: prefix before snap", file, i+1) + } + pending = prefixCase{line: i + 1, prefix: decodeHex(t, file, i+1, arg)} + havePrefix, haveHash = true, false + case "hash": + if !havePrefix { + t.Fatalf("%s:%d: hash without prefix", file, i+1) + } + b := decodeHex(t, file, i+1, arg) + if len(b) != 32 { + t.Fatalf("%s:%d: hash must be 32 bytes, got %d", file, i+1, len(b)) + } + pending.hash = Hash(b) + haveHash = true + case "proof": + if !haveHash { + t.Fatalf("%s:%d: proof without hash", file, i+1) + } + pending.proof = Proof(decodeHex(t, file, i+1, arg)) + cur.probes = append(cur.probes, pending) + havePrefix, haveHash = false, false + default: + t.Fatalf("%s:%d: unknown directive %q", file, i+1, cmd) + } + } + return tests +} + +// TestPrefix checks Scan, ProvePrefix, and VerifyPrefix against the trees +// and prefixes recorded in testdata/prefix.txt. +func TestPrefix(t *testing.T) { + trees := parsePrefixTests(t) + testImpls(t, func(t *testing.T, newTree func(*testing.T) *testTree) { + for _, tc := range trees { + t.Run(fmt.Sprintf("line%d", tc.line), func(t *testing.T) { + kvs := slices.Clone(tc.kvs) + slices.SortFunc(kvs, KeyVal.CompareKey) + + tt := newTree(t) + defer tt.tree.Close() + for _, i := range rand.Perm(len(tc.kvs)) { + tt.set(tc.kvs[i].Key, tc.kvs[i].Val) + } + e := int64(1) + if len(kvs) == 0 { + e = 0 + } + tt.snap(e, tc.snapHash) + snap := Snapshot{e, tc.snapHash} + + for _, pc := range tc.probes { + tt.prefix(snap, kvs, pc) + } + }) + } + }) +} + +// prefix checks Scan, ProvePrefix, and VerifyPrefix for pc.prefix against +// the expected results computed directly from kvs (which must be sorted +// by [KeyVal.CompareKey]) and against the pc.hash and pc.proof recorded +// in testdata/prefix.txt. +func (tt *testTree) prefix(snap Snapshot, kvs []KeyVal, pc prefixCase) { + tt.t.Helper() + prefix := pc.prefix + + var want []KeyVal + for _, kv := range kvs { + if kv.Key.HasPrefix(prefix) { + want = append(want, kv) + } + } + wantHash := TreeHash(slices.Values(want)) + if wantHash != pc.hash { + tt.t.Fatalf("testdata/prefix.txt:%d: recorded hash %v for prefix %x, want %v (from kv lines)\n\nLog:\n%s", + pc.line, pc.hash, prefix, wantHash, &tt.log) + } + + // Scan must return exactly the pairs with the prefix, in key order. + var got []KeyVal + for kv, err := range tt.tree.Scan(prefix) { + if err != nil { + tt.t.Fatalf("Scan(%x): %v\n\nLog:\n%s", prefix, err, &tt.log) + } + got = append(got, KeyVal{kv.Key.Clone(), kv.Val.Clone()}) + } + if !slices.EqualFunc(got, want, KeyVal.Equal) { + tt.t.Fatalf("Scan(%x) = %v, want %v\n\nLog:\n%s", prefix, got, want, &tt.log) + } + + // The scanned pairs must hash to the proved subtree hash. + scanHash, err := TreeHashErr(tt.tree.Scan(prefix)) + if err != nil { + tt.t.Fatalf("TreeHashErr(Scan(%x)): %v\n\nLog:\n%s", prefix, err, &tt.log) + } + if scanHash != wantHash { + tt.t.Fatalf("TreeHashErr(Scan(%x)) = %v, want %v\n\nLog:\n%s", prefix, scanHash, wantHash, &tt.log) + } + + path, err := tt.tree.Path(prefix) + if err != nil { + tt.t.Fatalf("Path(%x): %v\n\nLog:\n%s", prefix, err, &tt.log) + } + hash, proof, err := ProvePrefix(prefix, path) + if err != nil { + tt.t.Fatalf("ProvePrefix(%x): %v\n\nLog:\n%s", prefix, err, &tt.log) + } + if hash != wantHash { + tt.t.Fatalf("ProvePrefix(%x) = %v, want %v\n\nLog:\n%s", prefix, hash, wantHash, &tt.log) + } + if !bytes.Equal(proof, pc.proof) { + tt.t.Fatalf("ProvePrefix(%x) proof = %x, want %x (testdata/prefix.txt:%d)\n\nLog:\n%s", + prefix, proof, pc.proof, pc.line, &tt.log) + } + if err := VerifyPrefix(snap, prefix, hash, proof); err != nil { + tt.t.Fatalf("VerifyPrefix(%x): %v\nProof: %x\n\nLog:\n%s", prefix, err, proof, &tt.log) + } + + // The recorded hash and proof, independent of what this tree just + // produced, must also verify: this is the check that lets another + // implementation validate itself against testdata/prefix.txt without + // needing to reproduce ProvePrefix's exact proof bytes itself. + if err := VerifyPrefix(snap, prefix, pc.hash, pc.proof); err != nil { + tt.t.Fatalf("VerifyPrefix(%x) with recorded proof: %v\nProof: %x (testdata/prefix.txt:%d)\n\nLog:\n%s", + prefix, err, pc.proof, pc.line, &tt.log) + } + + // When no key has the prefix, the negative claims made by ProveLookup and + // ProvePrefix are the same claim and share the same proof. + if len(want) == 0 && len(kvs) > 0 { + val, ok, keyProof, err := ProveLookup(Key(prefix), path) + if err != nil { + tt.t.Fatalf("ProveLookup(%x): %v\n\nLog:\n%s", prefix, err, &tt.log) + } + if ok || !bytes.Equal(keyProof, proof) { + tt.t.Fatalf("ProveLookup(%x) = %v, %v, %x, want false, %x\n\nLog:\n%s", + prefix, val, ok, keyProof, proof, &tt.log) + } + } + + // A different subtree hash must not verify with this proof. + bad := hash + bad[0] ^= 1 + if err := VerifyPrefix(snap, prefix, bad, proof); err == nil { + tt.t.Fatalf("VerifyPrefix(%x) with corrupt hash succeeded\n\nLog:\n%s", prefix, &tt.log) + } + + // Claiming the whole tree as the subtree always verifies: + // the proof is one-sided, establishing only that the subtree + // holds every key with the prefix, not that it holds nothing else. + if err := VerifyPrefix(snap, prefix, snap.Hash, Proof{}); err != nil { + tt.t.Fatalf("VerifyPrefix(%x) with whole tree: %v\n\nLog:\n%s", prefix, err, &tt.log) + } + + // Claiming a subtree that is too small must not verify. + // The subtree for a longer prefix is either the same subtree, + // or empty, or strictly smaller: only the last case is a bad claim. + for _, b := range []byte{0x00, 0x40, 0xff} { + long := append(append([]byte{}, prefix...), b) + longPath, err := tt.tree.Path(long) + if err != nil { + tt.t.Fatalf("Path(%x): %v\n\nLog:\n%s", long, err, &tt.log) + } + longHash, longProof, err := ProvePrefix(long, longPath) + if err != nil { + tt.t.Fatalf("ProvePrefix(%x): %v\n\nLog:\n%s", long, err, &tt.log) + } + if longHash == hash || longHash == EmptyTreeHash() { + continue + } + if err := VerifyPrefix(snap, prefix, longHash, longProof); err == nil { + tt.t.Fatalf("VerifyPrefix(%x) with subtree for %x succeeded\n\nLog:\n%s", prefix, long, &tt.log) + } + } +} + +func TestMalformedPath(t *testing.T) { + tree := NewMemTree() + tree.Set(h("0...0"), v(1)) + tree.Set(h("80...0"), v(2)) + tree.Snap(1) + key := h("0...0") + path, err := tree.Path(key) + if err != nil { + t.Fatal(err) + } + + // The path starts with len(key) || key || len(val) || val, + // each length a one-byte varint here, followed by one step + // for the tree's single inner node. + leaf := 1 + len(key) + 1 + len(v(1)) + if len(path) != leaf+1+32 { + t.Fatalf("len(Path) = %d, want %d", len(path), leaf+1+32) + } + + // Truncating inside the leading key-val pair leaves the path malformed. + // (An entirely empty path is valid: it is the path for an empty tree.) + for n := 1; n < leaf; n++ { + short := path[:n:n] + if _, _, _, err := ProveLookup(key, short); err != ErrInvalidPath { + t.Errorf("ProveLookup(key, path[:%d]) = %v, want ErrInvalidPath", n, err) + } + if _, _, err := ProvePrefix(key, short); err != ErrInvalidPath { + t.Errorf("ProvePrefix(key, path[:%d]) = %v, want ErrInvalidPath", n, err) + } + } + + // Truncating inside a path step leaves the path malformed too. + // ProvePrefix reads a step only when it splits at a bit index inside + // the prefix, so use the empty prefix, which makes it read them all. + for n := leaf + 1; n < len(path); n++ { + short := path[:n:n] + if _, _, err := ProvePrefix(nil, short); err != ErrInvalidPath { + t.Errorf("ProvePrefix(nil, path[:%d]) = %v, want ErrInvalidPath", n, err) + } + } +}