fastfilter: Binary fuse & xor filters for Zig

Binary fuse filters & xor filters are probabilistic data structures which allow for quickly checking whether an element is part of a set.

Both are faster and more concise than Bloom filters, and smaller than Cuckoo filters. Binary fuse filters are a bleeding-edge development and are competitive with Facebook's ribbon filters:

• Thomas Mueller Graf, Daniel Lemire, Binary Fuse Filters: Fast and Smaller Than Xor Filters (not yet published)
• Thomas Mueller Graf, Daniel Lemire, Xor Filters: Faster and Smaller Than Bloom and Cuckoo Filters, Journal of Experimental Algorithmics 25 (1), 2020. DOI: 10.1145/3376122

Benefits of Zig implementation

This is a Zig implementation, which provides many practical benefits:

1. Iterator-based: you can populate xor or binary fuse filters using an iterator, without keeping your entire key set in-memory and without it being a contiguous array of keys. This can reduce memory usage when populating filters substantially.
2. Distinct allocators: you can provide separate Zig std.mem.Allocator implementations for the filter itself and population, enabling interesting opportunities like mmap-backed population of filters with low physical memory usage.
3. Generic implementation: use Xor(u8), Xor(u16), BinaryFuse(u8), BinaryFuse(u16), or experiment with more exotic variants like Xor(u4) thanks to Zig's bit-width integers and generic type system.

Zig's safety-checking and checked overflows has also enabled us to improve the upstream C/Go implementations where overflow and undefined behavior went unnoticed.[1]

Usage

Decide if xor or binary fuse filters fit your use case better: should I use binary fuse filters or xor filters?

Get your keys into u64 values. If you have strings, structs, etc. then use something like Zig's std.hash_map.getAutoHashFn to convert your keys to u64 first. ("It is not important to have a good hash function, but collisions should be unlikely (~1/2^64).")

Create a build.zig.zon file in your project (replace $LATEST_COMMIT with the latest commit hash):

.{
    .name = "mypkg",
    .version = "0.1.0",
    .dependencies = .{
        .fastfilter = .{
            .url = "https://github.com/hexops/fastfilter/archive/$LATEST_COMMIT.tar.gz",
        },
    },
}

Run zig build in your project, and the compiler instruct you to add a .hash = "..." field next to .url.

Then use the dependency in your build.zig:

pub fn build(b: *std.Build) void {
    ...
    exe.addModule("fastfilter", b.dependency("fastfilter", .{
        .target = target,
        .optimize = optimize,
    }).module("fastfilter"));
}

In your main.zig, make use of the library:

const std = @import("std");
const testing = std.testing;
const fastfilter = @import("fastfilter");

test "mytest" {
    const allocator = std.heap.page_allocator;

    // Initialize the binary fuse filter with room for 1 million keys.
    const size = 1_000_000;
    var filter = try fastfilter.BinaryFuse8.init(allocator, size);
    defer filter.deinit(allocator);

    // Generate some consecutive keys.
    var keys = try allocator.alloc(u64, size);
    defer allocator.free(keys);
    for (keys, 0..) |key, i| {
        _ = key;
        keys[i] = i;
    }

    // Populate the filter with our keys. You can't update a xor / binary fuse filter after the
    // fact, instead you should build a new one.
    try filter.populate(allocator, keys[0..]);

    // Now we can quickly test for containment. So fast!
    try testing.expect(filter.contain(1) == true);
}

(you can just add this project as a Git submodule in yours for now, as Zig's official package manager is still under way.)

Binary fuse filters automatically deduplicate any keys during population. If you are using a different filter type (you probably shouldn't be!) then keys must be unique or else filter population will fail. You can use the fastfilter.AutoUnique(u64)(keys) helper to deduplicate (in typically O(N) time complexity), see the tests in src/unique.zig for usage examples.

Serialization

To serialize the filters, you only need to encode these struct fields:

pub fn BinaryFuse(comptime T: type) type {
    return struct {
        ...
        seed: u64,
        segment_length: u32,
        segment_length_mask: u32,
        segment_count: u32,
        segment_count_length: u32,
        fingerprints: []T,
        ...

T will be the chosen fingerprint size, e.g. u8 for BinaryFuse8 or Xor8.

Look at std.io.Writer and std.io.BitWriter for ideas on actual serialization.

Similarly, for xor filters you only need these struct fields:

pub fn Xor(comptime T: type) type {
    return struct {
        seed: u64,
        blockLength: u64,
        fingerprints: []T,
        ...

Should I use binary fuse filters or xor filters?

If you're not sure, start with BinaryFuse8 filters. They're fast, and have a false-positive probability rate of 1/256 (or 0.4%).

There are many tradeoffs, primarily between:

• Memory usage
• Containment check time
• Population / creation time & memory usage

See the benchmarks section for a comparison of the tradeoffs between binary fuse filters and xor filters, as well as how larger bit sizes (e.g. BinaryFuse(u16)) consume more memory in exchange for a lower false-positive probability rate.

Note that fuse filters are not to be confused with binary fuse filters, the former have issues with construction, often failing unless you have a large number of unique keys. Binary fuse filters do not suffer from this and are generally better than traditional ones in several ways. For this reason, we consider traditional fuse filters deprecated.

Note about extremely large datasets

This implementation supports key iterators, so you do not need to have all of your keys in-memory, see BinaryFuse8.populateIter and Xor8.populateIter.

If you intend to use a xor filter with datasets of 100m+ keys, there is a possible faster implementation for construction found in the C implementation xor8_buffered_populate which is not implemented here.

Changelog

The API is generally finalized, but we may make some adjustments as Zig changes or we learn of more idiomatic ways to express things. We will release v1.0 once Zig v1.0 is released.

v0.11.0

• fastfilter is now available via the Zig package manager.
• Updated to the latest version of Zig nightly 0.11.0-dev.3332+76aa1fffb

v0.10.3

• Updated to the latest version of Zig 0.11.0-dev.3332+76aa1fffb (build.zig .path -> .source change.)

v0.10.2

• Fixed a few correctness / integer overflow/underflow possibilities where we were inconsistent with the Go/C implementations of binary fuse filters.
• Added debug-mode checks for iterator correctness (wraparound behavior.)

v0.10.1

• Updated to the latest version of Zig 0.11.0-dev.3332+76aa1fffb

v0.10.0

• All types are now unmanaged (allocator must be passed via parameters)
• Renamed util.sliceIterator to fastfilter.SliceIterator
• SliceIterator is now unmanaged / does not store an allocator.
• SliceIterator now stores []const T instead of []T internally.
• BinaryFuseFilter.max_iterations is now a constant.
• Added fastfilter.MeasuredAllocator for measuring allocations.
• Improved usage example.
• Properly free xorfilter/fusefilter fingerprints.
• Updated benchmark to latest Zig version.

v0.9.3

• Fixed potential integer overflow.

v0.9.2

• Handle duplicated keys automatically
• Added a std.build.Pkg definition
• Fixed an unlikely bug
• Updated usage instructions
• Updated to Zig v0.10.0-dev.1736

v0.9.1

• Updated to Zig v0.10.0-dev.36

v0.9.0

• Renamed repository github.com/hexops/xorfilter -> github.com/hexops/fastfilter to account for binary fuse filters.
• Implemented bleeding-edge (paper not yet published) "Binary Fuse Filters: Fast and Smaller Than Xor Filters" algorithm by Thomas Mueller Graf, Daniel Lemire
• BinaryFuse filters are now recommended by default, are generally better than Xor and Fuse filters.
• Deprecated traditional Fuse filters (BinaryFuse are much better.)
• Added much improved benchmarking suite with more details on memory consumption during filter population, etc.

v0.8.0

initial release with support for Xor and traditional Fuse filters of varying bit sizes, key iterators, serialization, and a slice de-duplication helper.

Benchmarks

Benchmarks were ran on both a 2019 Macbook Pro and Windows 10 desktop machine using e.g.:

zig run -O ReleaseFast src/benchmark.zig -- --xor 8 --num-keys 1000000

Related readings

• Blog post by Daniel Lemire: Xor Filters: Faster and Smaller Than Bloom Filters
• Fuse Filters (arxiv paper), as described by @jbapple (note these are not to be confused with binary fuse filters.)

Special thanks

• Thomas Mueller Graf and Daniel Lemire - for their excellent research into xor filters, xor+ filters, their C implementation, and more.
• Martin Dietzfelbinger and Stefan Walzer - for their excellent research into fuse filters.
• Jim Apple - for their C implementation[1] of fuse filters
• Andrew Gutekanst - for providing substantial help in debugging several issues in the Zig implementation.

If it was not for the above people, I (@slimsag) would not have been able to write this implementation and learn from the excellent C implementation. Please credit the above people if you use this library.