#include "Merkle.h"
#include <algorithm>
#include <cassert>
#include <cstring>
#include <stdexcept>
namespace nt {
// ── Wire format constants ────────────────────────────────────────────────────
static constexpr uint8_t TAG_LEAF = 0x4C; // 'L'
static constexpr uint8_t TAG_INTERNAL = 0x49; // 'I'
// ── Byte-order helpers ───────────────────────────────────────────────────────
static void write_u32(std::vector<uint8_t>& buf, uint32_t v) {
buf.push_back(static_cast<uint8_t>(v >> 24));
buf.push_back(static_cast<uint8_t>(v >> 16));
buf.push_back(static_cast<uint8_t>(v >> 8));
buf.push_back(static_cast<uint8_t>(v));
}
static void write_u64(std::vector<uint8_t>& buf, uint64_t v) {
buf.push_back(static_cast<uint8_t>(v >> 56));
buf.push_back(static_cast<uint8_t>(v >> 48));
buf.push_back(static_cast<uint8_t>(v >> 40));
buf.push_back(static_cast<uint8_t>(v >> 32));
buf.push_back(static_cast<uint8_t>(v >> 24));
buf.push_back(static_cast<uint8_t>(v >> 16));
buf.push_back(static_cast<uint8_t>(v >> 8));
buf.push_back(static_cast<uint8_t>(v));
}
static uint32_t read_u32(const uint8_t* p) {
return (uint32_t(p[0]) << 24) | (uint32_t(p[1]) << 16) | (uint32_t(p[2]) << 8) |
uint32_t(p[3]);
}
static uint64_t read_u64(const uint8_t* p) {
return (uint64_t(p[0]) << 56) | (uint64_t(p[1]) << 48) | (uint64_t(p[2]) << 40) |
(uint64_t(p[3]) << 32) | (uint64_t(p[4]) << 24) | (uint64_t(p[5]) << 16) |
(uint64_t(p[6]) << 8) | uint64_t(p[7]);
}
// ── Hex / binary conversion (free, key-agnostic) ─────────────────────────────
Hash32 hex_to_bin(const std::string& hex) {
if (hex.size() != 64)
throw std::invalid_argument("Merkle: hash must be exactly 64 hex characters, got " +
std::to_string(hex.size()));
Hash32 out{};
auto nibble = [](char c) -> uint8_t {
if (c >= '0' && c <= '9')
return static_cast<uint8_t>(c - '0');
if (c >= 'a' && c <= 'f')
return static_cast<uint8_t>(c - 'a' + 10);
if (c >= 'A' && c <= 'F')
return static_cast<uint8_t>(c - 'A' + 10);
throw std::invalid_argument(std::string("Merkle: invalid hex character '") + c + "'");
};
for (size_t i = 0; i < 32; ++i)
out[i] = static_cast<uint8_t>((nibble(hex[2 * i]) << 4) | nibble(hex[2 * i + 1]));
return out;
}
std::string bin_to_hex(const Hash32& bin) {
static const char HEX[] = "0123456789abcdef";
std::string out(64, '0');
for (size_t i = 0; i < 32; ++i) {
out[2 * i] = HEX[(bin[i] >> 4) & 0xF];
out[2 * i + 1] = HEX[bin[i] & 0xF];
}
return out;
}
// ── Key codec: per-Key serialisation primitives ──────────────────────────────
namespace {
template <typename Key> struct KeyCodec; // primary template intentionally undefined
template <> struct KeyCodec<Hash32> {
static void write(std::vector<uint8_t>& buf, const Hash32& k) {
buf.insert(buf.end(), k.begin(), k.end());
}
// Returns key and advances *p_inout by the number of consumed bytes.
static Hash32 read(const uint8_t*& p) {
Hash32 k;
std::memcpy(k.data(), p, 32);
p += 32;
return k;
}
static size_t encoded_size(const Hash32&) {
return 32;
}
};
template <> struct KeyCodec<std::string> {
static void write(std::vector<uint8_t>& buf, const std::string& k) {
write_u32(buf, static_cast<uint32_t>(k.size()));
buf.insert(buf.end(), k.begin(), k.end());
}
static std::string read(const uint8_t*& p) {
uint32_t len = read_u32(p);
p += 4;
std::string k(reinterpret_cast<const char*>(p), len);
p += len;
return k;
}
static size_t encoded_size(const std::string& k) {
return 4 + k.size();
}
};
} // anonymous namespace
// ── Node serialisation ───────────────────────────────────────────────────────
template <typename Key> std::vector<uint8_t> Merkle<Key>::encode_leaf(const LeafNode& n) {
std::vector<uint8_t> buf;
size_t payload_size = 0;
for (const auto& e : n.entries)
payload_size += KeyCodec<Key>::encoded_size(e.key) + 32;
buf.reserve(1 + 4 + payload_size);
buf.push_back(TAG_LEAF);
write_u32(buf, static_cast<uint32_t>(n.entries.size()));
for (const auto& e : n.entries) {
KeyCodec<Key>::write(buf, e.key);
buf.insert(buf.end(), e.payload.begin(), e.payload.end());
}
return buf;
}
template <typename Key>
std::vector<uint8_t> Merkle<Key>::encode_internal(const InternalNode& n) {
std::vector<uint8_t> buf;
size_t payload_size = 0;
for (const auto& e : n.entries)
payload_size += 8 + KeyCodec<Key>::encoded_size(e.min_key) + 32;
buf.reserve(1 + 4 + payload_size);
buf.push_back(TAG_INTERNAL);
write_u32(buf, static_cast<uint32_t>(n.entries.size()));
for (const auto& e : n.entries) {
write_u64(buf, e.leaf_count);
KeyCodec<Key>::write(buf, e.min_key);
buf.insert(buf.end(), e.child_hash.begin(), e.child_hash.end());
}
return buf;
}
template <typename Key>
typename Merkle<Key>::LeafNode Merkle<Key>::decode_leaf(const std::vector<uint8_t>& bytes) {
uint32_t count = read_u32(bytes.data() + 1);
LeafNode n;
n.entries.reserve(count);
const uint8_t* p = bytes.data() + 5;
for (uint32_t i = 0; i < count; ++i) {
LeafEntry e;
e.key = KeyCodec<Key>::read(p);
std::memcpy(e.payload.data(), p, 32);
p += 32;
n.entries.push_back(std::move(e));
}
return n;
}
template <typename Key>
typename Merkle<Key>::InternalNode
Merkle<Key>::decode_internal(const std::vector<uint8_t>& bytes) {
uint32_t count = read_u32(bytes.data() + 1);
InternalNode n;
n.entries.reserve(count);
const uint8_t* p = bytes.data() + 5;
for (uint32_t i = 0; i < count; ++i) {
ChildEntry e;
e.leaf_count = read_u64(p);
p += 8;
e.min_key = KeyCodec<Key>::read(p);
std::memcpy(e.child_hash.data(), p, 32);
p += 32;
n.entries.push_back(std::move(e));
}
return n;
}
template <typename Key> bool Merkle<Key>::is_leaf_bytes(const std::vector<uint8_t>& bytes) {
return !bytes.empty() && bytes[0] == TAG_LEAF;
}
// ── Storage helpers ──────────────────────────────────────────────────────────
template <typename Key>
std::vector<uint8_t> Merkle<Key>::load_node(IStorageBackend& store,
const std::string& hash_hex) {
auto opt = store.Get(hash_hex);
if (!opt)
throw std::runtime_error("Merkle: node not found: " + hash_hex);
return std::move(*opt);
}
template <typename Key>
std::string Merkle<Key>::store_leaf(IStorageBackend& store, const LeafNode& n) {
return store.Put(encode_leaf(n));
}
template <typename Key>
std::string Merkle<Key>::store_internal(IStorageBackend& store, const InternalNode& n) {
return store.Put(encode_internal(n));
}
template <typename Key>
Key Merkle<Key>::subtree_min_key(IStorageBackend& store, const std::string& node_hex) {
auto bytes = load_node(store, node_hex);
if (is_leaf_bytes(bytes)) {
auto leaf = decode_leaf(bytes);
assert(!leaf.entries.empty() && "Merkle invariant: leaf node must never be empty");
return leaf.entries.front().key;
}
auto node = decode_internal(bytes);
assert(!node.entries.empty() && "Merkle invariant: internal node must never be empty");
return node.entries.front().min_key;
}
// ── Routing helper ───────────────────────────────────────────────────────────
template <typename Key> size_t Merkle<Key>::route(const InternalNode& node, const Key& target) {
assert(!node.entries.empty() && "Merkle invariant: internal node must never be empty");
assert(std::is_sorted(node.entries.begin(), node.entries.end(),
[](const ChildEntry& a, const ChildEntry& b) {
return a.min_key < b.min_key;
}) &&
"Merkle invariant: internal node entries must be sorted by min_key");
// Rightmost child whose min_key ≤ target.
// Defaults to 0 (leftmost) when target < all min_keys.
size_t idx = 0;
for (size_t i = 1; i < node.entries.size(); ++i) {
if (!(target < node.entries[i].min_key))
idx = i;
else
break;
}
return idx;
}
// ── Insert ───────────────────────────────────────────────────────────────────
template <typename Key>
std::string Merkle<Key>::Insert(IStorageBackend& store, const std::string& root_hex,
const Key& key, const Hash32& payload) {
if (root_hex.empty()) {
LeafNode leaf;
leaf.entries.push_back({key, payload});
return store_leaf(store, leaf);
}
auto result = insert_into(store, root_hex, key, payload);
if (!result.did_split)
return result.new_hash;
// Root split: wrap both halves in a new internal root.
Key left_min = subtree_min_key(store, result.new_hash);
InternalNode new_root;
ChildEntry left;
left.leaf_count = result.leaf_count;
left.min_key = left_min;
left.child_hash = hex_to_bin(result.new_hash);
new_root.entries.push_back(std::move(left));
ChildEntry right;
right.leaf_count = result.split_leaf_count;
right.min_key = result.split_min_key;
right.child_hash = hex_to_bin(result.split_hash);
new_root.entries.push_back(std::move(right));
return store_internal(store, new_root);
}
template <typename Key>
typename Merkle<Key>::InsertResult
Merkle<Key>::insert_into(IStorageBackend& store, const std::string& node_hex, const Key& key,
const Hash32& payload) {
auto bytes = load_node(store, node_hex);
// ── Leaf node ───────────────────────────────────────────────────────────
if (is_leaf_bytes(bytes)) {
auto leaf = decode_leaf(bytes);
auto pos = std::lower_bound(leaf.entries.begin(), leaf.entries.end(), key,
[](const LeafEntry& e, const Key& k) { return e.key < k; });
if (pos != leaf.entries.end() && !(key < pos->key)) {
// Key already present — update payload if it changed, else no-op.
if (pos->payload == payload) {
InsertResult r;
r.new_hash = node_hex;
r.leaf_count = leaf.entries.size();
return r;
}
pos->payload = payload;
InsertResult r;
r.new_hash = store_leaf(store, leaf);
r.leaf_count = leaf.entries.size();
return r;
}
leaf.entries.insert(pos, LeafEntry{key, payload});
if (leaf.entries.size() <= B) {
InsertResult r;
r.new_hash = store_leaf(store, leaf);
r.leaf_count = leaf.entries.size();
return r;
}
// Split leaf at midpoint.
size_t mid = leaf.entries.size() / 2;
LeafNode left_leaf, right_leaf;
left_leaf.entries = {leaf.entries.begin(),
leaf.entries.begin() + static_cast<ptrdiff_t>(mid)};
right_leaf.entries = {leaf.entries.begin() + static_cast<ptrdiff_t>(mid),
leaf.entries.end()};
InsertResult r;
r.new_hash = store_leaf(store, left_leaf);
r.leaf_count = left_leaf.entries.size();
r.did_split = true;
r.split_leaf_count = right_leaf.entries.size();
r.split_min_key = right_leaf.entries.front().key;
r.split_hash = store_leaf(store, right_leaf);
return r;
}
// ── Internal node ───────────────────────────────────────────────────────
auto node = decode_internal(bytes);
size_t child_idx = route(node, key);
auto child_result =
insert_into(store, bin_to_hex(node.entries[child_idx].child_hash), key, payload);
node.entries[child_idx].leaf_count = child_result.leaf_count;
node.entries[child_idx].child_hash = hex_to_bin(child_result.new_hash);
// Update min_key for the modified child — only child 0 can have its min
// decrease (routing guarantees min_key[i>0] ≤ inserted key, so inserting
// below min_key[i>0] is impossible).
if (child_idx == 0)
node.entries[0].min_key = subtree_min_key(store, child_result.new_hash);
uint64_t total = 0;
for (const auto& e : node.entries)
total += e.leaf_count;
if (!child_result.did_split) {
InsertResult r;
r.new_hash = store_internal(store, node);
r.leaf_count = total;
return r;
}
// Insert the right sibling immediately after child_idx.
ChildEntry sibling;
sibling.leaf_count = child_result.split_leaf_count;
sibling.min_key = child_result.split_min_key;
sibling.child_hash = hex_to_bin(child_result.split_hash);
node.entries.insert(node.entries.begin() + static_cast<ptrdiff_t>(child_idx) + 1,
std::move(sibling));
total += child_result.split_leaf_count;
if (node.entries.size() <= B) {
InsertResult r;
r.new_hash = store_internal(store, node);
r.leaf_count = total;
return r;
}
// Split this internal node.
size_t mid = node.entries.size() / 2;
InternalNode left_node, right_node;
left_node.entries = {node.entries.begin(),
node.entries.begin() + static_cast<ptrdiff_t>(mid)};
right_node.entries = {node.entries.begin() + static_cast<ptrdiff_t>(mid),
node.entries.end()};
uint64_t left_count = 0, right_count = 0;
for (const auto& e : left_node.entries)
left_count += e.leaf_count;
for (const auto& e : right_node.entries)
right_count += e.leaf_count;
InsertResult r;
r.new_hash = store_internal(store, left_node);
r.leaf_count = left_count;
r.did_split = true;
r.split_leaf_count = right_count;
r.split_min_key = right_node.entries.front().min_key;
r.split_hash = store_internal(store, right_node);
return r;
}
// ── Remove ───────────────────────────────────────────────────────────────────
template <typename Key>
std::string Merkle<Key>::Remove(IStorageBackend& store, const std::string& root_hex,
const Key& key) {
if (root_hex.empty())
return "";
auto result = remove_from(store, root_hex, key);
if (result.new_hash.empty())
return "";
// Collapse: if the root is an internal node with a single child, skip it.
auto bytes = load_node(store, result.new_hash);
if (!is_leaf_bytes(bytes)) {
auto node = decode_internal(bytes);
if (node.entries.size() == 1)
return bin_to_hex(node.entries[0].child_hash);
}
return result.new_hash;
}
template <typename Key>
typename Merkle<Key>::RemoveResult
Merkle<Key>::remove_from(IStorageBackend& store, const std::string& node_hex, const Key& key) {
auto bytes = load_node(store, node_hex);
// ── Leaf node ───────────────────────────────────────────────────────────
if (is_leaf_bytes(bytes)) {
auto leaf = decode_leaf(bytes);
auto it = std::lower_bound(leaf.entries.begin(), leaf.entries.end(), key,
[](const LeafEntry& e, const Key& k) { return e.key < k; });
if (it == leaf.entries.end() || key < it->key)
return {node_hex, leaf.entries.size()}; // not found — no change
leaf.entries.erase(it);
if (leaf.entries.empty())
return {"", 0};
return {store_leaf(store, leaf), leaf.entries.size()};
}
// ── Internal node ───────────────────────────────────────────────────────
auto node = decode_internal(bytes);
size_t child_idx = route(node, key);
auto child_result = remove_from(store, bin_to_hex(node.entries[child_idx].child_hash), key);
if (child_result.new_hash.empty()) {
node.entries.erase(node.entries.begin() + static_cast<ptrdiff_t>(child_idx));
if (node.entries.empty())
return {"", 0};
} else {
node.entries[child_idx].leaf_count = child_result.leaf_count;
node.entries[child_idx].child_hash = hex_to_bin(child_result.new_hash);
// The min of any child might have changed if we removed its minimum entry.
node.entries[child_idx].min_key = subtree_min_key(store, child_result.new_hash);
}
uint64_t total = 0;
for (const auto& e : node.entries)
total += e.leaf_count;
return {store_internal(store, node), total};
}
// ── Get ──────────────────────────────────────────────────────────────────────
template <typename Key>
std::optional<Hash32> Merkle<Key>::Get(IStorageBackend& store, const std::string& root_hex,
const Key& key) {
if (root_hex.empty())
return std::nullopt;
return get_from(store, root_hex, key);
}
template <typename Key>
std::optional<Hash32> Merkle<Key>::get_from(IStorageBackend& store, const std::string& node_hex,
const Key& key) {
auto bytes = load_node(store, node_hex);
if (is_leaf_bytes(bytes)) {
auto leaf = decode_leaf(bytes);
auto it = std::lower_bound(leaf.entries.begin(), leaf.entries.end(), key,
[](const LeafEntry& e, const Key& k) { return e.key < k; });
if (it == leaf.entries.end() || key < it->key)
return std::nullopt;
return it->payload;
}
auto node = decode_internal(bytes);
size_t child_idx = route(node, key);
return get_from(store, bin_to_hex(node.entries[child_idx].child_hash), key);
}
// ── Page ─────────────────────────────────────────────────────────────────────
template <typename Key>
std::vector<typename Merkle<Key>::Entry> Merkle<Key>::Page(IStorageBackend& store,
const std::string& root_hex,
size_t offset, size_t limit) {
if (root_hex.empty() || limit == 0)
return {};
std::vector<Entry> out;
out.reserve(limit);
size_t skip = offset;
page_from(store, root_hex, skip, limit, out);
return out;
}
template <typename Key>
void Merkle<Key>::page_from(IStorageBackend& store, const std::string& node_hex, size_t& offset,
size_t limit, std::vector<Entry>& out) {
auto bytes = load_node(store, node_hex);
if (is_leaf_bytes(bytes)) {
auto leaf = decode_leaf(bytes);
const size_t available = leaf.entries.size();
if (offset >= available) {
offset -= available;
return;
}
for (size_t i = offset; i < available && out.size() < limit; ++i)
out.push_back(Entry{leaf.entries[i].key, leaf.entries[i].payload});
offset = 0;
return;
}
auto node = decode_internal(bytes);
for (const auto& entry : node.entries) {
if (out.size() >= limit)
break;
if (offset >= entry.leaf_count) {
offset -= entry.leaf_count;
continue;
}
page_from(store, bin_to_hex(entry.child_hash), offset, limit, out);
}
}
// ── Explicit instantiations ──────────────────────────────────────────────────
template class Merkle<Hash32>;
template class Merkle<std::string>;
} // namespace nt