diff --git a/lib/music_library/records/record_embedding.ex b/lib/music_library/records/record_embedding.ex
index a267d809..dd5a608a 100644
--- a/lib/music_library/records/record_embedding.ex
+++ b/lib/music_library/records/record_embedding.ex
@@ -10,7 +10,7 @@ defmodule MusicLibrary.Records.RecordEmbedding do
schema "record_embeddings" do
belongs_to :record, Record
- field :embedding, MusicLibrary.Records.RecordEmbedding.EmbeddingType
+ field :embedding, SqliteVec.Ecto.Float32
field :text_representation, :string
timestamps(type: :utc_datetime)
@@ -20,28 +20,6 @@ defmodule MusicLibrary.Records.RecordEmbedding do
record_embedding
|> cast(attrs, [:record_id, :embedding, :text_representation])
|> validate_required([:record_id, :embedding, :text_representation])
- |> validate_embedding_dimensions()
|> unique_constraint(:record_id)
end
-
- defp validate_embedding_dimensions(changeset) do
- case get_change(changeset, :embedding) do
- nil ->
- changeset
-
- embedding when is_list(embedding) ->
- if length(embedding) == 1536 do
- changeset
- else
- add_error(
- changeset,
- :embedding,
- "must have exactly 1536 dimensions, got #{length(embedding)}"
- )
- end
-
- _ ->
- add_error(changeset, :embedding, "must be a list of floats")
- end
- end
end
diff --git a/lib/music_library/records/record_embedding/embedding_type.ex b/lib/music_library/records/record_embedding/embedding_type.ex
deleted file mode 100644
index 813af778..00000000
--- a/lib/music_library/records/record_embedding/embedding_type.ex
+++ /dev/null
@@ -1,50 +0,0 @@
-defmodule MusicLibrary.Records.RecordEmbedding.EmbeddingType do
- @moduledoc """
- Custom Ecto type for storing embedding vectors.
-
- Embeddings are stored as JSON-encoded arrays of floats in the database,
- but presented as Elixir lists in the application.
- """
- use Ecto.Type
-
- @impl true
- def type, do: :string
-
- @impl true
- def cast(embedding) when is_list(embedding) do
- if Enum.all?(embedding, &is_float/1) or Enum.all?(embedding, &is_number/1) do
- # Convert all numbers to floats
- {:ok, Enum.map(embedding, &to_float/1)}
- else
- :error
- end
- end
-
- def cast(_), do: :error
-
- @impl true
- def load(json) when is_binary(json) do
- case JSON.decode(json) do
- {:ok, embedding} when is_list(embedding) ->
- {:ok, Enum.map(embedding, &to_float/1)}
-
- _ ->
- :error
- end
- end
-
- def load(_), do: :error
-
- @impl true
- def dump(embedding) when is_list(embedding) do
- json = JSON.encode!(embedding)
- {:ok, json}
- rescue
- _ -> :error
- end
-
- def dump(_), do: :error
-
- defp to_float(n) when is_float(n), do: n
- defp to_float(n) when is_integer(n), do: n * 1.0
-end
diff --git a/lib/music_library/records/similarity.ex b/lib/music_library/records/similarity.ex
index b5007446..45049607 100644
--- a/lib/music_library/records/similarity.ex
+++ b/lib/music_library/records/similarity.ex
@@ -4,7 +4,9 @@ defmodule MusicLibrary.Records.Similarity do
"""
import Ecto.Query
+ import(SqliteVec.Ecto.Query)
+ alias MusicLibrary.Records
alias MusicLibrary.Records.{Record, RecordEmbedding}
alias MusicLibrary.Repo
@@ -53,44 +55,30 @@ defmodule MusicLibrary.Records.Similarity do
"""
def find_similar(record_id, opts \\ []) do
limit = Keyword.get(opts, :limit, 10)
- min_similarity = Keyword.get(opts, :min_similarity, 0.0)
scope = Keyword.get(opts, :scope)
- with {:ok, source_embedding} <- get_embedding(record_id),
- similar_records <- calculate_similarities(source_embedding, record_id, scope) do
- similar_records
- |> Enum.filter(fn {_record, similarity} -> similarity >= min_similarity end)
- |> Enum.take(limit)
- |> Enum.map(fn {record, similarity} -> {record, Float.round(similarity, 4)} end)
- else
- {:error, :not_found} -> []
- end
- end
+ record = Records.get_record!(record_id)
+ record_musicbrainz_id = record.musicbrainz_id
- @doc """
- Calculates cosine similarity between two embedding vectors.
+ case get_embedding(record_id) do
+ {:ok, source_embedding} ->
+ query =
+ from re in RecordEmbedding,
+ where: re.record_id != ^record_id,
+ join: r in Record,
+ on: r.id == re.record_id and r.musicbrainz_id != ^record_musicbrainz_id,
+ order_by: vec_distance_cosine(re.embedding, vec_f32(source_embedding)),
+ select: {r, re.embedding},
+ group_by: r.musicbrainz_id,
+ limit: ^limit
- Returns a float between -1.0 and 1.0, where:
- - 1.0 = identical vectors
- - 0.0 = orthogonal vectors
- - -1.0 = opposite vectors
- """
- def cosine_similarity(vec_a, vec_b) when is_list(vec_a) and is_list(vec_b) do
- if length(vec_a) != length(vec_b) do
- raise ArgumentError, "Vectors must have the same length"
- end
+ query = apply_scope_filter(query, scope)
- dot_product =
- Enum.zip(vec_a, vec_b)
- |> Enum.reduce(0.0, fn {a, b}, acc -> acc + a * b end)
+ query
+ |> Repo.all()
- magnitude_a = calculate_magnitude(vec_a)
- magnitude_b = calculate_magnitude(vec_b)
-
- if magnitude_a == 0.0 or magnitude_b == 0.0 do
- 0.0
- else
- dot_product / (magnitude_a * magnitude_b)
+ {:error, :not_found} ->
+ []
end
end
@@ -142,31 +130,6 @@ defmodule MusicLibrary.Records.Similarity do
defp humanize_type(:other), do: "Other"
defp humanize_type(_), do: "Unknown"
- defp calculate_magnitude(vector) do
- vector
- |> Enum.reduce(0.0, fn x, acc -> acc + x * x end)
- |> :math.sqrt()
- end
-
- defp calculate_similarities(source_embedding, source_record_id, scope) do
- query =
- from re in RecordEmbedding,
- where: re.record_id != ^source_record_id,
- join: r in Record,
- on: r.id == re.record_id,
- select: {r, re.embedding}
-
- query = apply_scope_filter(query, scope)
-
- query
- |> Repo.all()
- |> Enum.map(fn {record, embedding} ->
- similarity = cosine_similarity(source_embedding, embedding)
- {record, similarity}
- end)
- |> Enum.sort_by(fn {_record, similarity} -> similarity end, :desc)
- end
-
defp apply_scope_filter(query, :collection) do
from [re, r] in query, where: not is_nil(r.purchased_at)
end
diff --git a/lib/music_library_web/components/record_components.ex b/lib/music_library_web/components/record_components.ex
index bc019cfb..6cf09b04 100644
--- a/lib/music_library_web/components/record_components.ex
+++ b/lib/music_library_web/components/record_components.ex
@@ -422,7 +422,6 @@ defmodule MusicLibraryWeb.RecordComponents do
- {Float.round(similarity * 100, 0)}%
diff --git a/lib/sqlite_vec/ecto/float32.ex b/lib/sqlite_vec/ecto/float32.ex
new file mode 100644
index 00000000..83462c63
--- /dev/null
+++ b/lib/sqlite_vec/ecto/float32.ex
@@ -0,0 +1,22 @@
+defmodule SqliteVec.Ecto.Float32 do
+ @moduledoc """
+ `Ecto.Type` for `SqliteVec.Float32`
+ """
+ use Ecto.Type
+
+ def type, do: :binary
+
+ def cast(value) do
+ {:ok, SqliteVec.Float32.new(value)}
+ end
+
+ def load(data) do
+ {:ok, SqliteVec.Float32.from_binary(data)}
+ end
+
+ def dump(%SqliteVec.Float32{} = vector) do
+ {:ok, SqliteVec.Float32.to_binary(vector)}
+ end
+
+ def dump(_), do: :error
+end
diff --git a/lib/sqlite_vec/ecto/query.ex b/lib/sqlite_vec/ecto/query.ex
new file mode 100644
index 00000000..503490e9
--- /dev/null
+++ b/lib/sqlite_vec/ecto/query.ex
@@ -0,0 +1,182 @@
+defmodule SqliteVec.Ecto.Query do
+ @moduledoc """
+ Macros for Ecto
+ """
+
+ @doc """
+ Creates a bit vector
+ """
+ defmacro vec_bit(vector) do
+ quote do
+ fragment("vec_bit(?)", type(^unquote(vector).data, :binary))
+ end
+ end
+
+ @doc """
+ Creates an int8 vector
+ """
+ defmacro vec_int8(vector) do
+ quote do
+ fragment("vec_int8(?)", type(^unquote(vector).data, :binary))
+ end
+ end
+
+ @doc """
+ Creates a float32 vector
+ """
+ defmacro vec_f32(vector) do
+ quote do
+ fragment("vec_f32(?)", type(^unquote(vector).data, :binary))
+ end
+ end
+
+ @doc """
+ Calculates the L2 euclidian distance between vectors a and b. Only valid for float32 or int8 vectors.
+
+ Returns an error under the following conditions:
+ - a or b are invalid vectors
+ - a or b do not share the same vector element types (ex float32 or int8)
+ - a or b are bit vectors. Use vec_distance_hamming() for distance calculations between two bitvectors.
+ - a or b do not have the same length.
+ """
+ # credo:disable-for-next-line Credo.Check.Readability.FunctionNames
+ defmacro vec_distance_L2(a, b) do
+ quote do
+ fragment("vec_distance_L2(?, ?)", unquote(a), unquote(b))
+ end
+ end
+
+ @doc """
+ Calculates the cosine distance between vectors a and b. Only valid for float32 or int8 vectors.
+
+ Returns an error under the following conditions:
+ - a or b are invalid vectors
+ - a or b do not share the same vector element types (ex float32 or int8)
+ - a or b are bit vectors. Use vec_distance_hamming() for distance calculations between two bitvectors.
+ - a or b do not have the same length
+ """
+ defmacro vec_distance_cosine(a, b) do
+ quote do
+ fragment("vec_distance_cosine(?, ?)", unquote(a), unquote(b))
+ end
+ end
+
+ @doc """
+ Calculates the hamming distance between two bitvectors a and b. Only valid for bitvectors.
+
+ Returns an error under the following conditions:
+ - a or b are not bitvectors
+ - a and b do not share the same length
+ - Memory cannot be allocated
+ """
+ defmacro vec_distance_hamming(a, b) do
+ quote do
+ fragment("vec_distance_hamming(?, ?)", unquote(a), unquote(b))
+ end
+ end
+
+ defmacro vec_match(a, b) do
+ quote do
+ fragment("? match ?", unquote(a), unquote(b))
+ end
+ end
+
+ @doc """
+ Returns the number of elements in the given vector
+ """
+ defmacro vec_length(vector) do
+ quote do
+ fragment("vec_length(?)", unquote(vector))
+ end
+ end
+
+ @doc """
+ Returns the name of the type of `vector` as text
+ """
+ defmacro vec_type(vector) do
+ quote do
+ fragment("vec_type(?)", unquote(vector))
+ end
+ end
+
+ @doc """
+ Adds every element in vector a with vector b, returning a new vector c.
+ Both vectors must be of the same type and same length.
+ Only float32 and int8 vectors are supported.
+
+ An error is raised if either a or b are invalid, or if they are not the same type or same length.
+ """
+ defmacro vec_add(a, b) do
+ quote do
+ fragment("vec_add(?, ?)", unquote(a), unquote(b))
+ end
+ end
+
+ @doc """
+ Subtracts every element in vector a with vector b, returning a new vector c.
+ Both vectors must be of the same type and same length.
+ Only float32 and int8 vectors are supported.
+
+ An error is raised if either a or b are invalid, or if they are not the same type or same length.
+ """
+ defmacro vec_sub(a, b) do
+ quote do
+ fragment("vec_sub(?, ?)", unquote(a), unquote(b))
+ end
+ end
+
+ @doc """
+ Performs L2 normalization on the given vector.
+ Only float32 vectors are currently supported.
+
+ Returns an error if the input is an invalid vector or not a float32 vector.
+ """
+ defmacro vec_normalize(vector) do
+ quote do
+ fragment("vec_normalize(?)", unquote(vector))
+ end
+ end
+
+ @doc """
+ Extract a subset of vector from the start element (inclusive) to the end element (exclusive).
+
+ This is especially useful for Matryoshka embeddings, also known as "adaptive length" embeddings.
+ Use with vec_normalize() to get proper results.
+
+ Returns an error in the following conditions:
+ - If vector is not a valid vector
+ - If start is less than zero or greater than or equal to end
+ - If end is greater than the length of vector, or less than or equal to start.
+ - If vector is a bitvector, start and end must be divisible by 8.
+ """
+ defmacro vec_slice(vector, start_index, end_index) do
+ quote do
+ fragment("vec_slice(?, ?, ?)", unquote(vector), unquote(start_index), unquote(end_index))
+ end
+ end
+
+ @doc """
+ Represents a vector as JSON text.
+ The input vector can be a vector BLOB or JSON text.
+
+ Returns an error if vector is an invalid vector, or when memory cannot be allocated.
+ """
+ defmacro vec_to_json(vector) do
+ quote do
+ fragment("vec_to_json(?)", unquote(vector))
+ end
+ end
+
+ @doc """
+ Quantize a float32 or int8 vector into a bitvector.
+ For every element in the vector, a 1 is assigned to positive numbers and a 0 is assigned to negative numbers.
+ These values are then packed into a bit vector.
+
+ Returns an error if vector is invalid, or if vector is not a float32 or int8 vector.
+ """
+ defmacro vec_quantize_binary(vector) do
+ quote do
+ fragment("vec_quantize_binary(?)", unquote(vector))
+ end
+ end
+end
diff --git a/lib/sqlite_vec/float32.ex b/lib/sqlite_vec/float32.ex
new file mode 100644
index 00000000..f3a6cc76
--- /dev/null
+++ b/lib/sqlite_vec/float32.ex
@@ -0,0 +1,114 @@
+defmodule SqliteVec.Float32 do
+ @moduledoc """
+ A vector struct for float32 vectors.
+ Vectors are stored as binaries in the endianness of the system.
+
+ > ### Consider endianness {: .warning}
+ >
+ > `SqliteVec.Float32.Vector` holds data in system endianness.
+ > Therefore, the same vector data will be interpreted differently on another system with different endianness.
+ > Moreover, you must consider endianness when converting the binary data directly to a list of numbers.
+
+ iex> v = SqliteVec.Float32.new([-1.0, 2.0])
+ ...> b = SqliteVec.Float32.to_binary(v)
+ ...> <> = b
+ ...> [f1, f2]
+ case System.endianness() do
+ :big -> [-1.0, 2.0]
+ :little -> [4.618539608568165e-41, 8.96831017167883e-44]
+ end
+ """
+
+ @type t :: %__MODULE__{data: binary()}
+
+ defstruct [:data]
+
+ @doc """
+ Creates a new vector from a vector, list, or tensor
+
+ The vector must be a `SqliteVec.Float32` vector.
+ The list may contain any number but the values will be converted to f32 format.
+ The tensor must have a rank of 1 and must be of type :f32.
+
+ ## Examples
+ iex> SqliteVec.Float32.new([1.0, 2.0])
+ %SqliteVec.Float32{data: <<1.0::float-32-native, 2.0::float-32-native>>}
+
+ iex> v1 = SqliteVec.Float32.new([1, 2])
+ ...> SqliteVec.Float32.new(v1)
+ %SqliteVec.Float32{data: <<1.0::float-32-native, 2.0::float-32-native>>}
+
+ iex> SqliteVec.Float32.new(Nx.tensor([1, 2], type: :f32))
+ %SqliteVec.Float32{data: <<1.0::float-32-native, 2.0::float-32-native>>}
+ """
+ def new(vector_or_list_or_tensor)
+
+ def new(%SqliteVec.Float32{} = vector) do
+ vector
+ end
+
+ def new(list) when is_list(list) do
+ if list == [] do
+ raise ArgumentError, "list must not be empty"
+ end
+
+ bin = for v <- list, into: <<>>, do: <>
+ from_binary(<>)
+ end
+
+ if Code.ensure_loaded?(Nx) do
+ def new(tensor) when is_struct(tensor, Nx.Tensor) do
+ if Nx.rank(tensor) != 1 do
+ raise ArgumentError, "expected rank to be 1"
+ end
+
+ if Nx.type(tensor) != {:f, 32} do
+ raise ArgumentError, "expected type to be :f32"
+ end
+
+ bin = tensor |> Nx.to_binary()
+ from_binary(<>)
+ end
+ end
+
+ @doc """
+ Creates a new vector from its binary representation
+ """
+ def from_binary(binary) when is_binary(binary) do
+ %SqliteVec.Float32{data: binary}
+ end
+
+ @doc """
+ Converts the vector to its binary representation
+ """
+ def to_binary(vector) when is_struct(vector, SqliteVec.Float32) do
+ vector.data
+ end
+
+ @doc """
+ Converts the vector to a list
+ """
+ def to_list(vector) when is_struct(vector, SqliteVec.Float32) do
+ <> = vector.data
+
+ for <>, do: v
+ end
+
+ if Code.ensure_loaded?(Nx) do
+ @doc """
+ Converts the vector to a tensor
+ """
+ def to_tensor(vector) when is_struct(vector, SqliteVec.Float32) do
+ <> = vector.data
+ Nx.from_binary(bin, :f32)
+ end
+ end
+end
+
+defimpl Inspect, for: SqliteVec.Float32 do
+ import Inspect.Algebra
+
+ def inspect(vector, opts) do
+ concat(["vec_f32('", Inspect.List.inspect(SqliteVec.Float32.to_list(vector), opts), "')"])
+ end
+end
diff --git a/priv/repo/migrations/20251011192421_create_record_embeddings.exs b/priv/repo/migrations/20251011192421_create_record_embeddings.exs
index 0e1a2092..c36ae966 100644
--- a/priv/repo/migrations/20251011192421_create_record_embeddings.exs
+++ b/priv/repo/migrations/20251011192421_create_record_embeddings.exs
@@ -1,17 +1,23 @@
defmodule MusicLibrary.Repo.Migrations.CreateRecordEmbeddings do
use Ecto.Migration
- def change do
- create table(:record_embeddings, primary_key: false) do
- add :id, :binary_id, primary_key: true
- add :record_id, references(:records, type: :binary_id, on_delete: :delete_all), null: false
+ def up do
+ execute("""
+ CREATE TABLE record_embeddings (
+ id TEXT PRIMARY KEY,
+ record_id TEXT NOT NULL CONSTRAINT record_embeddings_record_id_fkey REFERENCES records(id) ON DELETE CASCADE,
+ embedding float[1536] NOT NULL,
+ text_representation TEXT NOT NULL,
+ inserted_at TEXT NOT NULL,
+ updated_at TEXT NOT NULL);
+ """)
- add :embedding, :text, null: false
- add :text_representation, :text, null: false
+ execute("""
+ CREATE UNIQUE INDEX record_embeddings_record_id_index ON record_embeddings (record_id);
+ """)
+ end
- timestamps(type: :utc_datetime)
- end
-
- create unique_index(:record_embeddings, [:record_id])
+ def down do
+ drop table(:record_embeddings)
end
end
diff --git a/test/music_library/records/similarity_test.exs b/test/music_library/records/similarity_test.exs
index c028fbd3..705ea2c3 100644
--- a/test/music_library/records/similarity_test.exs
+++ b/test/music_library/records/similarity_test.exs
@@ -107,57 +107,6 @@ defmodule MusicLibrary.Records.SimilarityTest do
end
end
- describe "cosine_similarity/2" do
- test "calculates similarity between identical vectors" do
- vec = [1.0, 2.0, 3.0, 4.0]
- similarity = Similarity.cosine_similarity(vec, vec)
-
- assert_in_delta similarity, 1.0, 0.0001
- end
-
- test "calculates similarity between orthogonal vectors" do
- vec_a = [1.0, 0.0, 0.0]
- vec_b = [0.0, 1.0, 0.0]
- similarity = Similarity.cosine_similarity(vec_a, vec_b)
-
- assert_in_delta similarity, 0.0, 0.0001
- end
-
- test "calculates similarity between opposite vectors" do
- vec_a = [1.0, 0.0, 0.0]
- vec_b = [-1.0, 0.0, 0.0]
- similarity = Similarity.cosine_similarity(vec_a, vec_b)
-
- assert_in_delta similarity, -1.0, 0.0001
- end
-
- test "calculates similarity between similar vectors" do
- vec_a = [1.0, 2.0, 3.0]
- vec_b = [1.1, 2.1, 2.9]
- similarity = Similarity.cosine_similarity(vec_a, vec_b)
-
- # Should be close to 1.0 since vectors are similar
- assert similarity > 0.99
- end
-
- test "raises error for vectors of different lengths" do
- vec_a = [1.0, 2.0, 3.0]
- vec_b = [1.0, 2.0]
-
- assert_raise ArgumentError, fn ->
- Similarity.cosine_similarity(vec_a, vec_b)
- end
- end
-
- test "handles zero vectors" do
- vec_a = [0.0, 0.0, 0.0]
- vec_b = [1.0, 2.0, 3.0]
- similarity = Similarity.cosine_similarity(vec_a, vec_b)
-
- assert similarity == 0.0
- end
- end
-
describe "store_embedding/3 and get_embedding/1" do
test "stores and retrieves an embedding" do
record = record()
@@ -167,10 +116,7 @@ defmodule MusicLibrary.Records.SimilarityTest do
assert {:ok, _} = Similarity.store_embedding(record.id, embedding, text_rep)
assert {:ok, retrieved_embedding} = Similarity.get_embedding(record.id)
- assert length(retrieved_embedding) == 1536
- # Check that embeddings are the same (within floating point precision)
- Enum.zip(embedding, retrieved_embedding)
- |> Enum.each(fn {a, b} -> assert_in_delta a, b, 0.0001 end)
+ assert SqliteVec.Float32.new(embedding) == retrieved_embedding
end
test "updates existing embedding on conflict" do
@@ -182,7 +128,7 @@ defmodule MusicLibrary.Records.SimilarityTest do
assert {:ok, _} = Similarity.store_embedding(record.id, embedding2, "Text 2")
assert {:ok, retrieved_embedding} = Similarity.get_embedding(record.id)
- assert List.first(retrieved_embedding) == 0.7
+ assert SqliteVec.Float32.new(embedding2) == retrieved_embedding
end
test "returns error for non-existent record" do
@@ -227,13 +173,6 @@ defmodule MusicLibrary.Records.SimilarityTest do
assert length(similar) == 1
end
- test "respects min_similarity option", %{record1: record1} do
- similar = Similarity.find_similar(record1.id, min_similarity: 0.99)
-
- # Since we have slight variations, only very similar records pass
- assert length(similar) <= 1
- end
-
test "returns empty list for record without embedding" do
record_without_embedding = record()