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---

title: Durable persistent trees and parser combinators - building a database

date: 2020-11-12

updated_at: 2021-02-09

layout: post

lang: en

ref: durable-persistent-trees-and-parser-combinators-building-a-database

eu_categories: mediator

---

I've received with certain frequency messages from people wanting to know if
I've made any progress on the database project
[I've written about]({% link _articles/2020-08-31-the-database-i-wish-i-had.md %}).

There are a few areas where I've made progress, and here's a public post on it.

## Proof-of-concept: DAG log

The main thing I wanted to validate with a concrete implementation was the
concept of modeling a DAG on a sequence of datoms.

The notion of a *datom* is a rip-off from Datomic, which models data with time
aware *facts*, which come from RDF. RDF's fact is a triple of
subject-predicate-object, and Datomic's datoms add a time component to it:
subject-predicate-object-time, A.K.A. entity-attribute-value-transaction:

```clojure
[[person :likes "pizza" 0 true]
 [person :likes "bread" 1 true]
 [person :likes "pizza" 1 false]]
```

The above datoms say:
- at time 0, `person` like pizza;
- at time 1, `person` stopped liking pizza, and started to like bread.

Datomic ensures total consistency of this ever growing log by having a single
writer, the transactor, that will enforce it when writing.

In order to support disconnected clients, I needed a way to allow multiple
writers, and I chose to do it by making the log not a list, but a
directed acyclic graph (DAG):

```clojure
[[person :likes  "pizza"  0 true]
 [0      :parent :db/root 0 true]
 [person :likes  "bread"  1 true]
 [person :likes  "pizza"  1 false]
 [1      :parent 0        1 true]]
```

The extra datoms above add more information to build the directionality to the
log, and instead of a single consistent log, the DAG could have multiple leaves
that coexist, much like how different Git branches can have different "latest"
commits.

In order to validate this idea, I started with a Clojure implementation. The
goal was not to write the actual final code, but to make a proof-of-concept that
would allow me to test and stretch the idea itself.

This code [already exists][clj-poc], but is yet fairly incomplete:

- the building of the index isn't done yet (with some
  [commented code][clj-poc-index] on the next step to be implemented)
- the indexing is extremely inefficient, with [more][clj-poc-o2-0]
  [than][clj-poc-o2-1] [one][clj-poc-o2-2] occurrence of `O²` functions;
- no query support yet.

[clj-poc]: https://euandre.org/git/mediator/tree/src/core/clojure/src/mediator.clj?id=db4a727bc24b54b50158827b34502de21dbf8948#n1
[clj-poc-index]: https://euandre.org/git/mediator/tree/src/core/clojure/src/mediator.clj?id=db4a727bc24b54b50158827b34502de21dbf8948#n295
[clj-poc-o2-0]: https://euandre.org/git/mediator/tree/src/core/clojure/src/mediator.clj?id=db4a727bc24b54b50158827b34502de21dbf8948#n130
[clj-poc-o2-1]: https://euandre.org/git/mediator/tree/src/core/clojure/src/mediator.clj?id=db4a727bc24b54b50158827b34502de21dbf8948#n146
[clj-poc-o2-2]: https://euandre.org/git/mediator/tree/src/core/clojure/src/mediator.clj?id=db4a727bc24b54b50158827b34502de21dbf8948#n253

## Top-down *and* bottom-up

However, as time passed and I started looking at what the final implementation
would look like, I started to consider keeping the PoC around.

The top-down approach (Clojure PoC) was in fact helping guide me with the
bottom-up, and I now have "promoted" the Clojure PoC into a "reference
implementation". It should now be a finished implementation that says what the
expected behaviour is, and the actual code should match the behaviour.

The good thing about a reference implementation is that it has no performance of
resources boundary, so if it ends up being 1000x slower and using 500× more
memory, it should be find. The code can be also 10x or 100x simpler, too.

## Top-down: durable persistent trees

In promoting the PoC into a reference implementation, this top-down approach now
needs to go beyond doing everything in memory, and the index data structure now
needs to be disk-based.

Roughly speaking, most storage engines out there are based either on B-Trees or
LSM Trees, or some variations of those.

But when building an immutable database, update-in-place B-Trees aren't an
option, as it doesn't accommodate keeping historical views of the tree. LSM Trees
may seem a better alternative, but duplication on the files with compaction are
also ways to delete old data which is indeed useful for a historical view.

I think the thing I'm after is a mix of a Copy-on-Write B-Tree, which would keep
historical versions with the write IO cost amortization of memtables of LSM
Trees. I don't know of any B-Tree variant out there that resembles this, so I'll
call it "Flushing Copy-on-Write B-Tree".

I haven't written any code for this yet, so all I have is a high-level view of
what it will look like:

1. like Copy-on-Write B-Trees, changing a leaf involves creating a new leaf and
  building a new path from root to the leaf. The upside is that writes a lock
  free, and no coordination is needed between readers and writers, ever;

1. the downside is that a single leaf update means at least `H` new nodes that
  will have to be flushed to disk, where `H` is the height of the tree. To avoid
  that, the writer creates these nodes exclusively on the in-memory memtable, to
  avoid flushing to disk on every leaf update;

1. a background job will consolidate the memtable data every time it hits X MB,
  and persist it to disk, amortizing the cost of the Copy-on-Write B-Tree;

1. readers than will have the extra job of getting the latest relevant
  disk-resident value and merge it with the memtable data.

The key difference to existing Copy-on-Write B-Trees is that the new trees
are only periodically written to disk, and the intermediate values are kept in
memory. Since no node is ever updated, the page utilization is maximum as it
doesn't need to keep space for future inserts and updates.

And the key difference to existing LSM Trees is that no compaction is run:
intermediate values are still relevant as the database grows. So this leaves out
tombstones and value duplication done for write performance.

One can delete intermediate index values to reclaim space, but no data is lost
on the process, only old B-Tree values. And if the database ever comes back to
that point (like when doing a historical query), the B-Tree will have to be
rebuilt from a previous value. After all, the database *is* a set of datoms, and
everything else is just derived data.

Right now I'm still reading about other data structures that storage engines
use, and I'll start implementing the "Flushing Copy-on-Write B-Tree" as I learn
more[^learn-more-db] and mature it more.

[^learn-more-db]: If you are interested in learning more about this too, the
    very best two resources on this subject are Andy Pavlo's
    "[Intro to Database Systems](https://www.youtube.com/playlist?list=PLSE8ODhjZXjbohkNBWQs_otTrBTrjyohi)"
    course and Alex Petrov's "[Database Internals](https://www.databass.dev/)" book.

## Bottom-up: parser combinators and FFI

I chose Rust as it has the best WebAssembly tooling support.

My goal is not to build a Rust database, but a database that happens to be in
Rust. In order to reach client platforms, the primary API is the FFI one.

I'm not very happy with current tools for exposing Rust code via FFI to the
external world: they either mix C with C++, which I don't want to do, or provide
no access to the intermediate representation of the FFI, which would be useful
for generating binding for any language that speaks FFI.

I like better the path that the author of [cbindgen][cbindgen-crate]
crate [proposes][rust-ffi]: emitting an data representation of the Rust C API
(the author calls is a `ffi.json` file), and than building transformers from the
data representation to the target language. This way you could generate a C API
*and* the node-ffi bindings for JavaScript automatically from the Rust code.

So the first thing to be done before moving on is an FFI exporter that doesn't
mix C and C++, and generates said `ffi.json`, and than build a few transformers
that take this `ffi.json` and generate the language bindings, be it C, C++,
JavaScript, TypeScript, Kotlin, Swift, Dart, *etc*[^ffi-langs].

[^ffi-langs]: Those are, specifically, the languages I'm more interested on. My
    goal is supporting client applications, and those languages are the most
    relevant for doing so: C for GTK, C++ for Qt, JavaScript and TypeScript for
    Node.js and browser, Kotlin for Android and Swing, Swift for iOS, and Dart
    for Flutter.

I think the best way to get there is by taking the existing code for cbindgen,
which uses the [syn][syn-crate] crate to parse the Rust code[^rust-syn], and
adapt it to emit the metadata.

[^rust-syn]: The fact that syn is an external crate to the Rust compiler points
    to a big warning: procedural macros are not first class in Rust. They are
    just like Babel plugins in JavaScript land, with the extra shortcoming that
    there is no specification for the Rust syntax, unlike JavaScript.

    As flawed as this may be, it seems to be generally acceptable and adopted,
    which works against building a solid ecosystem for Rust.

    The alternative that rust-ffi implements relies on internals of the Rust
    compiler, which isn't actually worst, just less common and less accepted.

I've started a fork of cbindgen: ~~x-bindgen~~[^x-bindgen]. Right now it is
just a copy of cbindgen verbatim, and I plan to remove all C and C++ emitting
code from it, and add a IR emitting code instead.

[^x-bindgen]: *EDIT*: now archived, the experimentation was fun. I've started to move more towards C, so this effort became deprecated.

When starting working on x-bindgen, I realized I didn't know what to look for in
a header file, as I haven't written any C code in many years. So as I was
writing [libedn][libedn-repo], I didn't know how to build a good C API to
expose. So I tried porting the code to C, and right now I'm working on building
a *good* C API for a JSON parser using parser combinators:
~~ParsecC~~ [^parsecc].

[^parsecc]: *EDIT*: now also archived.

After "finishing" ParsecC I'll have a good notion of what a good C API is, and
I'll have a better direction towards how to expose code from libedn to other
languages, and work on x-bindgen then.

What both libedn and ParsecC are missing right now are proper error reporting,
and property-based testing for libedn.

[cbindgen-crate]: https://github.com/eqrion/cbindgen
[syn-crate]: https://github.com/dtolnay/syn
[rust-ffi]: https://blog.eqrion.net/future-directions-for-cbindgen/
[libedn-repo]: https://euandre.org/git/libedn/

## Conclusion

I've learned a lot already, and I feel the journey I'm on is worth going
through.

If any of those topics interest you, message me to discuss more or contribute!
Patches welcome!