# SmashTable

> Transactions across in-memory containers

## Introduction

Readers see one instant only when every store shares one commit order; otherwise the participants become visible in turn.
It's implemented in __C++ 20__ as header-only templates, and exposed to __Python 3__ through the raw CPython API.

Three `std::map`s cannot do this, and neither can three `dict`s.
It needs no threads to be useful — the same guarantee that keeps two indexes consistent under contention is what keeps them consistent when an exception unwinds a loop halfway through.

## What's Inside

```bash
  basic_*            → cores, single-threaded     vector · AVL · weight-balanced · hash · flat set · ring · hash index · fixed pool · growing pool
  immutable_*        → built once, read forever     B-tree · S+ tree · Elias-Fano · packed array
  atomic_*           → pinned or lock-free        hash · intrusive stack
       ↑ ::adopt() moves one allocation between the two, no rehash, no copy

  *_store            → transactions over a core   monotonic · snapshot · reference
       ↓ wrap any of those for thread safety
  locked_store       → one lock per transaction
  partitioned_store  → one lock per partition, 16 by default

  transaction_group  → one commit spanning several stores
```

Every store publishes what it promises as a compile-time `isolation_k`, and the suite checks that constant against behaviour rather than against itself — a container that quietly changes level fails.
Each rung implies the ones beneath it, so one column names the highest a store reaches rather than five ticking the same fact five times.
Every row below the cores wraps something: a transactional store wraps a plain container, and either thread-safety wrapper wraps a store.
So a usable type reads `locked_store<snapshot_store<basic_avl_tree<…>>>` for one lock over the whole store, or `partitioned_store<…>` for sixteen.
Nesting the two wrappers is redundant rather than clever: every call would take an inner lock inside a partition lock that already excludes.

|                             | Isolation               |    Writers    | Transactions |      Ordered      |
| :-------------------------- | :---------------------- | :-----------: | :----------: | :---------------: |
| `basic_vector`              | …                       |  one thread   |      …       |         …         |
| `basic_avl_tree`            | …                       |  one thread   |      …       |         ✔         |
| `basic_wb_tree`             | …                       |  one thread   |      …       | `rank` · `select` |
| `basic_hash_table`          | …                       |  one thread   |      …       |         …         |
| `basic_flat_set`            | …                       |  one thread   |      …       |         ✔         |
| `basic_ring`                | …                       |  one thread   |      …       |         …         |
| `basic_hash_index`          | …                       |  one thread   |      …       |         …         |
| `basic_fixed_pool`          | …                       |  one thread   |      …       |         …         |
| `basic_growing_pool`        | …                       |  one thread   |      …       |         …         |
| `immutable_b_tree`          | …                       |    none ¹⁰    |      …       |         ✔         |
| `immutable_splus_tree`      | …                       |    none ¹⁰    |      …       | `rank` · `select` |
| `immutable_elias_fano`      | …                       |    none ¹⁰    |      …       |     `select`      |
| `immutable_packed_array`    | …                       |    none ¹⁰    |      …       |         …         |
| `atomic_hash_table`         | … ⁴                     |  per slot ⁴   |      …       |         …         |
| `atomic_intrusive_stack`    | …                       |  any pusher   |      …       |         …         |
| `monotonic_store`           | Monotonic Atomic View ⁶ |  one thread   |      ✔       |     inherits      |
| `snapshot_store`            | Snapshot ⁷              |  one thread   |      ✔       |    inherits ²     |
| `serializable_store`        | Serializable ⁸          |  one thread   |      ✔       |    inherits ²     |
| `strict_serializable_store` | Strict Serializable ⁹   |  one thread   |      ✔       |    inherits ²     |
| `reference_store` ⁵         | Monotonic Atomic View ⁶ |  one thread   |      ✔       |         ✔         |
| `locked_store`              | inherits                |   one call    |      ✔       |     inherits      |
| `partitioned_store`         | inherits ¹              | per partition |      ✔       |    inherits ³     |

> ¹ A stamp-based store keeps its level: one order, and the watermark moves only once the last partition has published, so a reader sees a whole commit or none.
> A store in no order has no stamp to hold, so only Read Committed survives; atomicity costs in proportion to the partitions touched.
> ² `select` and `rank` are exact at the newest commit; an older snapshot gets a merged walk, since one count per node cannot answer an unbounded parameter.
> ³ A bound, a range and an ordinal hold every partition's lock for the whole walk, so each is decided at one moment rather than by probes that can disagree.
> An unbounded enumeration takes one partition at a time and answers unordered, while the cursor behind iteration walks the merged order and holds no lock between its steps.
> ⁴ Per-slot spin locks: atomic over one slot and nothing wider, so `size()` is a relaxed read, a stalled thread blocks its slot, and there are no transactions.
> ⁵ A `std::set`-backed oracle: it installs alongside every other header, and the suites hold the tree containers against it.
> ⁶ Permits a [lost update](https://jepsen.io/consistency/phenomena/p4) and a repeated read that moves.
> ⁷ Refuses both; permits [write skew](https://jepsen.io/consistency/phenomena/a5b), since a read you did not `watch` is not validated.
> ⁸ Refuses write skew and phantoms too: every key and window read is re-checked at commit.
> ⁹ Same refusals as ⁸; [strict](https://jepsen.io/consistency/models/strict-serializable) also waits for its own publication, so a transaction opening after a commit cannot precede it — which changes only sharded commits and writes outside a transaction.
> ¹⁰ Built once and never written again, so there is nothing to synchronize and any number of threads may read one at once.

The ladder runs from [Read Committed](https://jepsen.io/consistency/models/read-committed) through [Monotonic Atomic View](https://jepsen.io/consistency/models/monotonic-atomic-view) and [Snapshot Isolation](https://jepsen.io/consistency/models/snapshot-isolation) to the two serializable rungs, and every level from Monotonic Atomic View upward is delivered by [multi-version concurrency control](https://en.wikipedia.org/wiki/Multiversion_concurrency_control): a key keeps one version per commit that touched it, a reader is answered from the newest version its own snapshot can name, and versions below the oldest live reader are reclaimed.

## Containers

Terminology first, since both words are overloaded:

- "Concurrency" does not imply threads.
  Several transactions can be open on one thread.
- "Consistency" does not imply [strict serializability](https://jepsen.io/consistency/models/strict-serializable).
  [Weaker levels exist](https://jepsen.io/consistency/models), and each store here names the one it targets as a compile-time `isolation_k` rather than leaving you to infer it.

Headers group as:

```bash
  basic_*               → Cores. Own their memory, no transactions, one thread.
    ├─ basic_vector<T, Alloc>
    ├─ basic_avl_tree<T, Comparator, Alloc>
    ├─ basic_wb_tree<T, Comparator, Alloc>          # also `rank` and `select`
    ├─ basic_hash_table<T, Hash, Equals, Alloc>     # grows, iterates, rehashes
    ├─ basic_flat_set<T, Comparator, Kit, Alloc>    # sorted, one allocation, searched a row at a time
    ├─ basic_ring<T, Alloc>                         # first-in first-out, capacity fixed at `make`
    ├─ basic_hash_index<T, Index, Hash, Alloc, Kit> # keys to record positions, capacity fixed, no tombstones
    ├─ basic_fixed_pool<T, Index, Alloc>             # records taken and vacated by index, handles that go stale
    ├─ basic_growing_pool<T, Index, Alloc>     # the same in chunks that never move, read beside its growth
    └─ intrusive_list<Index>                        # first-in first-out through the records' own `next`

  Immutable, built once and never written
    ├─ immutable_b_tree<T, KeysPerRow, Kit, Alloc>     # keys on every level
    ├─ immutable_splus_tree<T, KeysPerRow, Kit, Alloc> # every key in the leaves, separators above
    ├─ immutable_elias_fano<T, Alloc>                  # non-decreasing integers in a few bits apiece
    └─ immutable_packed_array<T, Alloc>                # integers as distances from a base, one width each

  atomic_*              → Pinned core. Fixed capacity, atomic per slot, callback reads.
    └─ atomic_hash_table<T, Hash, Equals, Alloc>    # the one type that runs on a GPU
       ↑ ::adopt(std::move(growable).release())     ↓ ::adopt(std::move(pinned).release())

  atomic_intrusive_stack<T, Ref>  → any thread pushes, one takes all, no capacity

  *_store               → 2-phase commit, watch and CAS.
    ├─ monotonic_store<Core>                        # one visible version per key
    ├─ snapshot_store<Core>                         # every version a live reader can still name
    └─ reference_store<T, Comparator, Alloc>        # the same contract over `std::set`, kept as the oracle
       ↓ either of the first two wraps a core; either of these wraps a store
    ├─ locked_store<Store, Mutex>                   # one lock spans a whole commit
    └─ partitioned_store<Store, Hash, Mutex, N>     # one lock per partition, one shared commit order

  transaction_group<Stores...>  → One 2-phase commit spanning several stores
```

### Choosing a Container for a Concurrency Shape

The __Writers__ column of the table in [What's Inside](#whats-inside) names how many threads may write, and the reader rule follows from it rather than standing beside it: a core's `const` methods are safe from any number of threads only while no thread is writing, since a probe reads slot metadata and node links a write is midway through changing.
The shape that gets this wrong most often is a cache behind a `mutable` member, filled on what its caller calls a read — a reader-writer lock held in shared mode admits several such calls at once, and each of them is a writer as far as the container is concerned.

Growth is the other half of the rule.
A core that can grow repoints the regions every live slot reference and every node pointer has already cached, so a container a second thread can reach must either be pinned at a capacity nobody exceeds, or reached through a wrapper that excludes.
`basic_growing_pool` is the one core whose growth repoints nothing: it adds chunks and never moves a record, so readers by index or handle need no claim while its one writer takes, vacates and grows.

|                                             | Reach for                                                            | Wrap in                              |
| :------------------------------------------ | :------------------------------------------------------------------- | :----------------------------------- |
| One thread, or many readers and no writer   | `basic_vector` · `basic_ring` · `basic_flat_set` · `basic_fixed_pool` | …                                    |
| The same, and ordered                       | `basic_avl_tree` · `basic_wb_tree`                                   | …                                    |
| The same, and keyed                         | `basic_hash_table` · `basic_hash_index`                              | …                                    |
| Built once from sorted keys, read forever   | `immutable_b_tree` · `immutable_splus_tree`                          | …                                    |
| Built once from sorted integers, compressed | `immutable_elias_fano`                                               | …                                    |
| Built once from integers in a narrow band   | `immutable_packed_array`                                             | …                                    |
| One writer growing, readers by index        | `basic_growing_pool`                                            | …                                    |
| Many threads, capacity fixed up front       | `atomic_hash_table`                                                  | …                                    |
| Many producers, one consumer draining whole | `atomic_intrusive_stack`                                             | …                                    |
| Many threads, and the container still grows | any core above                                                       | `locked_store` · `partitioned_store` |
| Versions a reader can still name            | `monotonic_store` · `snapshot_store` · `reference_store`             | either wrapper                       |
| One commit spanning several stores          | `transaction_group`                                                  | inherits its participants'           |

Both wrappers take their mutex as a template parameter, and that mutex takes two of its own: the reference its word is owned through, and the policy a waiting core follows.
The pinned table takes the same two directly, since its slot lock is the mutex it has.
A deployment that knows its hardware names both: a reference whose conditional add decides an acquire in one instruction, and a stall its cores actually have.
One that does not pays nothing for the question.

Transactions and thread-safety are two independent axes, not one ladder.
A wrapper takes its mutex per __call__, not across a transaction: `stage` and `commit` each take it and drop it in between, and only a group holds it from its validation to its publication.
What carries the inner store's level across that gap is the reservation staging made, since no other transaction can claim those keys until this one publishes or unwinds.
A store in no order gives its reader no stamp to hold, so a monotonic reader spanning partitions can catch a commit half-applied and only [Read Committed](https://jepsen.io/consistency/models/read-committed) survives — but a snapshot reader answers at its own stamp, and every partition belongs to one order, so it keeps Snapshot across all sixteen.
Every container publishes what it promises as `isolation_k`, so the level is checkable rather than folklore.
`atomic_hash_table` has no transactions at all — it offers per-__operation__ atomicity, which is a different product, and is why it is not a `*_store`.

`status_t` reports `out_of_memory_heap_k == ENOMEM`, `invalid_argument_k == EINVAL`, `key_not_found_k == ENOENT` and others, and is `[[nodiscard]]` on every mutating API.

### Making `std::set` Transactional

> `smashtable/reference_store.hpp`

The baseline reference design, and the yardstick the tree containers are held against — it runs the same test suites they do.
Updates group into transactions that stage and roll back before committing, which is what lets inter-dependent updates span several stores.

Reads are consistent at the [Monotonic Atomic View](https://jepsen.io/consistency/models/monotonic-atomic-view) level, so a transaction never sees another's partial update.
That is weaker than [Snapshot Isolation](https://jepsen.io/consistency/models/snapshot-isolation): there is no guarantee that every read within one transaction sees the same snapshot.
It keeps a version per key all the same, dated by a generation rather than by a shared commit stamp, which is why a watch is re-resolved at commit instead of compared against one.
`snapshot_store` is the sibling that does make that guarantee, and the section below states what it costs.

### Adelson-Velsky and Landis Trees

> `smashtable/basic_avl_tree.hpp`

Rarely called by its full name, the AVL tree is the simplest clean self-balancing binary search tree, from 1962.
`basic_avl_tree<value, comparator, allocator>` is an ordered store in the shape of `std::set` or `std::map`.
Standard libraries usually pick Red-Black trees; AVL balances more rigidly, trading slightly slower updates for faster lookups.

Its API differs from the STL where exception-free reporting demands it:

- `insert()` returns `std::pair<iterator, bool>`, as the STL does.
- `erase(iterator)` returns `erase_result_t { iterator next; status_t status; }`.
- Range `insert(first, last)` returns `status_t`.
- Hint-based `insert(hint, value)` and `emplace_hint()` are deleted, since AVL trees gain nothing from a hint.

### Weight-Balanced Trees

> `smashtable/basic_wb_tree.hpp`

`basic_wb_tree` balances on subtree sizes rather than heights, using Δ=3 and Γ=2 — the only proven integer solution, per Hirai and Yamamoto.
Storing sizes buys __order statistics__: `select(k)` finds the k-th smallest and `rank(x)` finds a key's position, both in O(log n).
That is what pagination, percentiles and quantiles need, and it is the one thing the AVL tree cannot offer.

Expect depth around 1.88 log₂(n) against AVL's 1.44, in exchange for O(1) amortized rotations per update.

### Flat Sets & Rings

> `smashtable/basic_flat_set.hpp` · `smashtable/basic_ring.hpp`

`basic_flat_set` is an ordered set in one contiguous allocation, growable and allocator-aware like `basic_avl_tree`, differing only in where elements live.
Inserting and erasing shift the tail, so it suits a few hundred elements rather than millions, in exchange for a search that reads adjacent memory and allocates nothing.
That search is the same row search the immutable trees below use, wherever the element is a `row_searchable_key` ordered by `less_t`, and a plain binary search otherwise — `basic_flat_set` takes the kit as its third template argument.
It answers the same `ordered_collection` surface the trees do — bounds, ranges and half-open erasure — so the shared suites hold it to the same contract.

`basic_ring` is a first-in first-out queue over one allocation whose capacity is a power of two fixed at `make`, for batching and read-ahead.
Two 32-bit counters of pushes and pops wrap together, so their difference is the size and a full ring is told from an empty one without a spare slot.

### Immutable B & S+ Trees

> `smashtable/immutable_b_tree.hpp` · `smashtable/immutable_splus_tree.hpp` · `smashtable/row_layout.hpp` · `smashtable/row_search.hpp`

Both are built once from a sorted span and never written again, so any number of threads may read one at once with no synchronization at all.
Both search a __row__ at a time rather than a key at a time — a row being a span wide enough to be worth one vectorized pass, 512 bytes by default, which is `default_row_bytes_k`.
`row_layout.hpp` says what a key may be and where each one sits in a row; `row_search.hpp` says how a row is searched.

`immutable_b_tree` stores nodes breadth-first with implicit children: node `i` holds one row of `B` keys and its children are nodes `i*(B+1)+j+1`.
A lookup reads one row per level and the rank adds up as the descent goes, with no subtree sizes stored.

`immutable_splus_tree` keeps every key in sorted leaves and copies separators onto the levels above.
A lookup lands on the leaf whose position __is__ the rank, so `select` is an index into the leaves.

Every kit the compiler can emit is compiled into the same artifact, each under its own target attributes, so no global instruction-set flag is needed.
`detect_row_kit()` probes the processor once and `visit_row_kit` hands the answer over as a __type__, so a tree instantiated over it calls its kit with no table and no branch per key.

```cpp
visit_row_kit(detect_row_kit(), [&](auto kit) {
    using tree_t = immutable_b_tree<std::uint64_t, 64, decltype(kit)>;
    // …built once, then read from any number of threads
});
```

Keys may be 32- or 64-bit of either signedness, or 16 bytes ordered as `memcmp`.
A 16-byte key is stored either interleaved or split into a column of high words and a column of low words, the low column read only where a high word ties.

`immutable_b_set` and `immutable_splus_set` hold bare keys; `immutable_b_map` and `immutable_splus_map` pair each key with a value.
A map keeps the rows byte-identical to its set twin and puts the values in one array the rank indexes, so every kit still loads a row of nothing but keys, and `mapped_at(rank)` costs one further cache line.

### Elias-Fano Sequences

> `smashtable/immutable_elias_fano.hpp`

`immutable_elias_fano` keeps non-decreasing integers - the offsets of variable-length rows, say - in at most 2 + ⌈log₂(universe / count)⌉ bits apiece, and `select(i)` reads the `i`-th one back in constant time.
The low bits of every value are packed side by side and the high bits are stored in unary, with every 256th set bit's position sampled, so a `select` jumps to a sample and counts a handful of words.
`make` takes the values whole, or pulls them in order through a callback, so a column of offsets streams in from storage without ever sitting in memory at full width.

```cpp
std::uint64_t const offsets[] = {0, 3, 3, 10, 42};
auto sequence = immutable_elias_fano<>::make(std::span<std::uint64_t const>(offsets));
std::uint64_t const row_bytes = sequence->select(3) - sequence->select(2); // 7
```

### Packed Arrays

> `smashtable/immutable_packed_array.hpp`

`immutable_packed_array` keeps unsigned integers between a base and a maximum as their distance from the base, in `bit_width(maximum - base)` bits apiece, and `array[i]` reads the `i`-th one back in constant time.
Values that all equal the base cost no words at all, so a column of commit stamps coded against the oldest live snapshot is free once nobody reads below it.
`immutable_elias_fano` keeps its low parts in one, based at zero.
`save` writes a three-word header and the packed words, and `immutable_packed_array_view` reads them in place from borrowed bytes at any alignment, so a memory-mapped file is read without a copy.

```cpp
std::uint64_t const stamps[] = {1000, 1003, 1001, 1007};
auto packed = immutable_packed_array<>::make(std::span<std::uint64_t const>(stamps)); // base 1000, 3 bits apiece
std::vector<std::byte> bytes(packed->saved_bytes());
_ = packed->save(bytes);
auto view = immutable_packed_array_view<>::make(bytes);
std::uint64_t const third = (*view)[2]; // 1001
```

### Transactional Stores

> `smashtable/monotonic_store.hpp`

`monotonic_store<Core>` adds two-phase commit, watches and CAS on top of any key-addressable core.
`monotonic_avl_set`, `monotonic_avl_map`, `monotonic_wb_set` and `monotonic_wb_map` are the aliases you'll name directly.
`monotonic_hash_set` and `monotonic_hash_map` back the same store with the open-addressed table, which supplies no ordering, so bounds, ranges and order statistics are gated out of those instantiations at compile time.

Which version a reader sees is decided by one number, stamped when a transaction commits.
A version that has not committed carries no stamp, so it is invisible to readers and cannot make anyone else's validation fail — a transaction that stages and then rolls back costs its peers nothing.
Two writers on one key are ordered by their stamps, and the later one wins.
That is a [lost update](https://jepsen.io/consistency/phenomena/p4), which this level permits: Monotonic Atomic View constrains what a reader observes, not what two writers do to each other, and a level that is available under partition provably cannot prevent it.
A writer that needs the first commit to win must `watch()` the key, or use a snapshot container, where the write set is validated whether you ask or not.

`find` never records what it read, here.
A read set is memory, and a read that allocates is a read that can fail, so on this engine the recording variant is a different name:

```cpp
_ = transaction.find(key, on_found, on_missing);             // answers, and records nothing
_ = transaction.find_and_watch(key, on_found, on_missing);   // records, and can report out of memory
```

Both return `status_t`, because a read that cannot write down what it read has to say so where it happened rather than poisoning the transaction silently until commit.
`snapshot_store` at `serializable_k` and above needs no second name: every read records, and every read reports.

An erase leaves a tombstone that readers skip, and `vacuum()` is what returns that space:

```cpp
expected<std::size_t> const reclaimed = store.vacuum();          // everything no reader can name
expected<std::size_t> const window = store.vacuum(lower, upper); // ordered cores, one slice at a time
```

### Snapshot Isolation

> `smashtable/snapshot_store.hpp`

`snapshot_store<Core>` is the sibling that fixes a transaction's reads to one instant, and it is where [multi-version concurrency control](https://en.wikipedia.org/wiki/Multiversion_concurrency_control) is at its most literal here: a transaction draws a snapshot when it opens, every read is answered from the newest version at or below that snapshot, and a writer never overwrites what a reader can still name.
It rebinds the same cores, exports `snapshot_avl_set`, `_avl_map`, `_wb_set`, `_wb_map`, `_hash_set` and `_hash_map`, and publishes `isolation_k == snapshot_k`.
A repeated read returns what it first saw, a repeated range admits no phantoms, and neither holds in its sibling.

The same template answers at three levels, selected by a second parameter rather than by a second implementation, and each has aliases of its own:

```cpp
snapshot_store<Core>                        // isolation_k == snapshot_k
serializable_store<Core>                    // reads validated too
strict_serializable_store<Core>             // and a commit waits for its own publication

serializable_avl_map<Key, Value>            // and `_avl_set`, `_wb_*`, `_hash_*`
strict_serializable_avl_map<Key, Value>     // the same six for the top rung
```

Versions are kept as ordinary entries keyed by `(key, generation)` rather than chained off one entry, on ordered and unordered cores alike.
The hash core still hashes the bare key, so every version of a key shares one probe run and a lookup walks that run instead of stopping at the first match.

Reclamation is the other half of multi-version concurrency control, and the whole of it here: old versions are freed against a low-water mark that sits at the oldest open snapshot, so it can never pass a snapshot somebody still holds, and it advances as soon as the oldest reader leaves rather than waiting for the last.
Pruning happens on every commit, and `vacuum()` reaches the keys nobody writes again.
There is no background thread and no epoch registry.
`clear()` refuses while a reader is open rather than dropping versions out from under it.

Range writes publish under one stamp, so a reader on an older snapshot sees all of a range erase or none of it.
`update_range` builds new versions rather than rewriting the visible one, which is what open readers make unsound.
`select` and `rank` descend on the weight-balanced tree's augmented count, exact at the newest commit — a reader at an older snapshot gets the merged walk instead, because one number per node cannot answer for an unbounded parameter.

What it costs, on an AVL core over `mapping<key, int>`:

|                               | `monotonic_store` | `snapshot_store`    |
| :---------------------------- | :---------------- | :------------------ |
| Resident per key, one version | 80 B              | 72 B                |
| Each retained older version   | 48 B chain node   | 72 B, a full entry  |
| Read of one key               | one chain head    | the key's whole run |

At rest it is the cheaper of the two, because a key carries no chain-head pointer and no per-entry allocator.
It becomes the more expensive one exactly when a long-lived reader pins history — and on the hash core a pinned version occupies a real slot, so it lengthens the probe runs of its neighbours as well.
With no transaction open the low-water mark sits at the newest commit and the whole version tail is freed on the next write, so a store nobody is reading costs what its sibling costs.

### Hash Tables

> `smashtable/basic_hash_table.hpp`

`hash_set<key>` and `hash_map<key, value>` are open-addressing containers with linear probing.
They differ from `google::dense_hash_map` and `tsl::robin_map` by not reserving sentinel key values for tombstones, by unpacking keys and values into disjoint arrays, and by carrying two bits of metadata per slot rather than a byte.

Keys and values live in separate regions, so a lookup that only compares keys never pulls values into cache — which is most of them, since a miss touches no value at all.
Thirty-two slots share one 64-bit header holding two parallel bitmasks, encoding free, deleted, populated and locked in two bits each.
Sixty-four bits is the widest atomic every target supports, which is what lets a whole bucket header move in one instruction.

Growing repoints the key, value and header regions that every live slot reference has cached, so a table that can grow can never be read concurrently.
The type system enforces that rather than a sentence: two types, neither of which includes the other's header.
`basic_hash_table` grows, iterates and rehashes; `atomic_hash_table` is pinned and atomic over the slot each operation touches.
What passes between them is the allocation itself — a `hash_storage` — so the hand-off is a move of a value rather than one table reaching into the other:

```cpp
_ = growable.reserve(1u << 20);                                          // pin the capacity first
auto pinned = atomic_hash_map<key_t, value_t>::adopt(std::move(growable).release());

_ = pinned.find(key, [](auto const &slot) noexcept { use(slot.value()); });
if (failed(pinned.emplace(key, value))) report_full();                   // a pinned table can fill up

auto compacted = hash_map<key_t, value_t>::adopt(std::move(pinned).release());   // iterators return
```

Every operation on the pinned table is atomic over the slot it touches: it takes that slot by setting both its bits with a `fetch_or` and releases it by posting the xor of the difference to the desired state, which reads nothing back, so neither path needs a compare-and-swap loop.
It is not lock-free, though — `fetch_or` spins until it wins the slot, so a thread descheduled while holding one blocks every other prober that walks onto it.
No global lock and no reallocation is what the pinning buys; a stalled thread stalling its neighbours is what it does not.
Reads take a callback rather than returning a reference or an iterator, since both would dangle the moment another thread erased the slot.
Tombstones only accumulate while pinned, because compaction needs a rehash — `deleted_count()` is what says it is time to hand the storage back.

Readers take the slot lock like writers do.
A reader that merely loaded the header would be unsound, and measurably so: the two bits per slot cannot distinguish "untouched" from "locked, rewritten and unlocked", because a completed write cycle restores exactly the bits the reader first saw.
Adding a per-bucket version counter would fix it and would cost half the slots per bucket, which is not worth breaking the one-warp-per-bucket geometry for.

Order-dependent operations are absent by construction: there is no `range`, `erase_range`, `lower_bound` or `select`.

> `smashtable/basic_hash_index.hpp`

`basic_hash_index` is the same layout serving another job: a fixed-capacity map from 4-, 8- or 16-byte keys to the positions of records kept elsewhere, such as a fixed pool's.
Its keys sit in the keys region, so a probe compares a window of them without loading a record, and a key may repeat, since it is often a hash of something longer: `find` takes a check that reads the record behind each match, and `erase` names the exact position.
A tombstone would make every later probe walk past the erased slot until a rehash, which a fixed-capacity index never runs, so an erase shifts the rest of its run back over the hole instead.
Every key stays reachable from its home, the deletion bits stay zero, and capacity is at most half the slots, so a run always ends at a free one and a table under constant churn probes no further than a fresh one.

## Testing

```bash
cmake -B build -DCMAKE_BUILD_TYPE=Debug -DSMASHTABLE_BUILD_TEST=ON -DSMASHTABLE_WERROR=ON
cmake --build build
ctest --test-dir build --output-on-failure
```

The tests and the benchmark read their settings from the environment once, and print them before the first result:

| Variable                | Default    | Meaning                                                                                |
| :---------------------- | :--------- | :------------------------------------------------------------------------------------- |
| `SMASHTABLE_FILTER`     | unset      | ECMAScript regex over test or benchmark names, or a substring when it does not compile |
| `SMASHTABLE_SEED`       | `42`       | Seed for every random draw, or `random` to draw one                                    |
| `SMASHTABLE_WARMUP`     | `1s`       | Untimed run ahead of each benchmark, `<int>ms` or `<int>s`                             |
| `SMASHTABLE_TIME_LIMIT` | `10s`      | Timed run of each benchmark, `<int>ms` or `<int>s`                                     |
| `SMASHTABLE_ROWS`       | `4096`     | Sorted rows per row-kit benchmark                                                      |
| `SMASHTABLE_KEYS`       | `16777216` | Sorted keys per layout benchmark                                                       |
| `SMASHTABLE_QUERIES`    | `1048576`  | Queries drawn per benchmark, searched in turn                                          |

A test filter that matches nothing fails the binary:

```bash
SMASHTABLE_FILTER=transactional_consistency ./build/smashtable_test_avl_tree
```

The benchmark is built on request and never run by CTest:

```bash
cmake -B build_release -DCMAKE_BUILD_TYPE=Release -DSMASHTABLE_BUILD_TEST=ON -DSMASHTABLE_BUILD_BENCH=ON
cmake --build build_release
SMASHTABLE_FILTER=layouts/u64 SMASHTABLE_TIME_LIMIT=200ms ./build_release/smashtable_bench_row_search
```

One binary per container family runs the same suites — the `std::set` store, both trees, both thread-safety wrappers, the bare hash table and the transactional stores over it — so a behavioural difference between them shows up as a failure rather than a surprise.

The suite asserts costs, not only answers.
`select` over the augmented count is pinned to an exact node count rather than to a bound: an independent descent measures 13 nodes at 4096 entries and 19 at 262144, one per level of a tree that ascending keys leave perfectly balanced.
The counting comparator tallies `rank` alone, because `select_augmented` navigates on subtree sizes and asks the comparator nothing.
An element type that tallies its own construction and destruction turns a leak into arithmetic — a key leaked inside a correctly freed node is invisible to a sanitizer and not to the tally.
A key whose hash keeps only its group forces the long probe runs a well-spread hash never produces, which is where tombstone reuse and severed runs actually show.

`isolation_k` is checked against behaviour rather than against itself.
The shared suite branches on the level a container declares and asserts both outcomes, so a container that quietly starts snapshotting without raising its level fails just as one that claims a level it does not deliver.

For the Python side:

```bash
pip install -e . --group test && pytest test/
```

### Model Checking

The protocols the wrappers promise are checked as models, not only exercised as code.
`verification/` holds Promela models of the two-phase group commit, the commit under one stamp, the commit order, the slot lock, the locked store, the pinned reader and the partitioned window write, over shared includes spelling the shared mutex, its waiting policy and the memory models.
Two of them run again as GenMC clients over `std::atomic` under RC11, and a third client checks the stack `atomic_intrusive_stack` drains whole.

```bash
./verification/check.sh
```

Every `verify` line names a model, the verdict expected of it and the defines, so a new variant is one line and the whole suite reads off the file.
Most models carry deliberately broken variants — a dropped release, a lock held less long, a batch that writes before it staged — and the run fails if one of those __passes__, which is what keeps a model from going vacuous as the code moves under it.
It needs `spin`; a `genmc` on the path also runs the three clients.

## Citation

If SmashTable helps your research or product, please cite it:

```bibtex
@software{Vardanian_SmashTable,
  author = {Vardanian, Ash},
  title = {{SmashTable: Vectorized Associative Containers with Atomic Commits Spanning Several at Once}},
  doi = {10.5281/zenodo.22030408},
  url = {https://github.com/ashvardanian/SmashTable},
  license = {Apache-2.0}
}
```

A machine-readable [`CITATION.cff`](https://github.com/ashvardanian/SmashTable/blob/main/CITATION.cff) is provided at the repository root.

## License

Licensed under the Apache License, Version 2.0.
See `LICENSE` for details.
