Use sqlite vector
This commit is contained in:
@@ -10,7 +10,7 @@ defmodule MusicLibrary.Records.RecordEmbedding do
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schema "record_embeddings" do
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belongs_to :record, Record
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field :embedding, MusicLibrary.Records.RecordEmbedding.EmbeddingType
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field :embedding, SqliteVec.Ecto.Float32
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field :text_representation, :string
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timestamps(type: :utc_datetime)
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@@ -20,28 +20,6 @@ defmodule MusicLibrary.Records.RecordEmbedding do
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record_embedding
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|> cast(attrs, [:record_id, :embedding, :text_representation])
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|> validate_required([:record_id, :embedding, :text_representation])
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|> validate_embedding_dimensions()
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|> unique_constraint(:record_id)
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end
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defp validate_embedding_dimensions(changeset) do
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case get_change(changeset, :embedding) do
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nil ->
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changeset
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embedding when is_list(embedding) ->
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if length(embedding) == 1536 do
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changeset
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else
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add_error(
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changeset,
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:embedding,
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"must have exactly 1536 dimensions, got #{length(embedding)}"
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)
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end
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_ ->
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add_error(changeset, :embedding, "must be a list of floats")
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end
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end
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end
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@@ -1,50 +0,0 @@
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defmodule MusicLibrary.Records.RecordEmbedding.EmbeddingType do
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@moduledoc """
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Custom Ecto type for storing embedding vectors.
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Embeddings are stored as JSON-encoded arrays of floats in the database,
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but presented as Elixir lists in the application.
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"""
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use Ecto.Type
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@impl true
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def type, do: :string
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@impl true
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def cast(embedding) when is_list(embedding) do
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if Enum.all?(embedding, &is_float/1) or Enum.all?(embedding, &is_number/1) do
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# Convert all numbers to floats
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{:ok, Enum.map(embedding, &to_float/1)}
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else
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:error
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end
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end
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def cast(_), do: :error
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@impl true
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def load(json) when is_binary(json) do
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case JSON.decode(json) do
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{:ok, embedding} when is_list(embedding) ->
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{:ok, Enum.map(embedding, &to_float/1)}
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_ ->
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:error
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end
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end
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def load(_), do: :error
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@impl true
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def dump(embedding) when is_list(embedding) do
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json = JSON.encode!(embedding)
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{:ok, json}
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rescue
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_ -> :error
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end
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def dump(_), do: :error
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defp to_float(n) when is_float(n), do: n
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defp to_float(n) when is_integer(n), do: n * 1.0
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end
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@@ -4,7 +4,9 @@ defmodule MusicLibrary.Records.Similarity do
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"""
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import Ecto.Query
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import(SqliteVec.Ecto.Query)
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alias MusicLibrary.Records
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alias MusicLibrary.Records.{Record, RecordEmbedding}
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alias MusicLibrary.Repo
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@@ -53,44 +55,30 @@ defmodule MusicLibrary.Records.Similarity do
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"""
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def find_similar(record_id, opts \\ []) do
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limit = Keyword.get(opts, :limit, 10)
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min_similarity = Keyword.get(opts, :min_similarity, 0.0)
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scope = Keyword.get(opts, :scope)
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with {:ok, source_embedding} <- get_embedding(record_id),
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similar_records <- calculate_similarities(source_embedding, record_id, scope) do
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similar_records
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|> Enum.filter(fn {_record, similarity} -> similarity >= min_similarity end)
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|> Enum.take(limit)
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|> Enum.map(fn {record, similarity} -> {record, Float.round(similarity, 4)} end)
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else
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{:error, :not_found} -> []
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end
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end
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record = Records.get_record!(record_id)
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record_musicbrainz_id = record.musicbrainz_id
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@doc """
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Calculates cosine similarity between two embedding vectors.
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case get_embedding(record_id) do
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{:ok, source_embedding} ->
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query =
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from re in RecordEmbedding,
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where: re.record_id != ^record_id,
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join: r in Record,
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on: r.id == re.record_id and r.musicbrainz_id != ^record_musicbrainz_id,
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order_by: vec_distance_cosine(re.embedding, vec_f32(source_embedding)),
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select: {r, re.embedding},
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group_by: r.musicbrainz_id,
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limit: ^limit
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Returns a float between -1.0 and 1.0, where:
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- 1.0 = identical vectors
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- 0.0 = orthogonal vectors
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- -1.0 = opposite vectors
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"""
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def cosine_similarity(vec_a, vec_b) when is_list(vec_a) and is_list(vec_b) do
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if length(vec_a) != length(vec_b) do
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raise ArgumentError, "Vectors must have the same length"
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end
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query = apply_scope_filter(query, scope)
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dot_product =
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Enum.zip(vec_a, vec_b)
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|> Enum.reduce(0.0, fn {a, b}, acc -> acc + a * b end)
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query
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|> Repo.all()
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magnitude_a = calculate_magnitude(vec_a)
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magnitude_b = calculate_magnitude(vec_b)
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if magnitude_a == 0.0 or magnitude_b == 0.0 do
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0.0
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else
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dot_product / (magnitude_a * magnitude_b)
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{:error, :not_found} ->
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[]
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end
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end
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@@ -142,31 +130,6 @@ defmodule MusicLibrary.Records.Similarity do
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defp humanize_type(:other), do: "Other"
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defp humanize_type(_), do: "Unknown"
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defp calculate_magnitude(vector) do
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vector
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|> Enum.reduce(0.0, fn x, acc -> acc + x * x end)
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|> :math.sqrt()
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end
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defp calculate_similarities(source_embedding, source_record_id, scope) do
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query =
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from re in RecordEmbedding,
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where: re.record_id != ^source_record_id,
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join: r in Record,
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on: r.id == re.record_id,
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select: {r, re.embedding}
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query = apply_scope_filter(query, scope)
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query
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|> Repo.all()
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|> Enum.map(fn {record, embedding} ->
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similarity = cosine_similarity(source_embedding, embedding)
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{record, similarity}
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end)
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|> Enum.sort_by(fn {_record, similarity} -> similarity end, :desc)
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end
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defp apply_scope_filter(query, :collection) do
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from [re, r] in query, where: not is_nil(r.purchased_at)
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end
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@@ -422,7 +422,6 @@ defmodule MusicLibraryWeb.RecordComponents do
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</button>
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<span class="absolute top-2 right-2 rounded-full px-2 py-0.5 text-xs font-medium bg-zinc-900/75 text-white backdrop-blur-sm">
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{Float.round(similarity * 100, 0)}%
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</span>
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</div>
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@@ -0,0 +1,22 @@
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defmodule SqliteVec.Ecto.Float32 do
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@moduledoc """
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`Ecto.Type` for `SqliteVec.Float32`
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"""
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use Ecto.Type
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def type, do: :binary
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def cast(value) do
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{:ok, SqliteVec.Float32.new(value)}
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end
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def load(data) do
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{:ok, SqliteVec.Float32.from_binary(data)}
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end
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def dump(%SqliteVec.Float32{} = vector) do
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{:ok, SqliteVec.Float32.to_binary(vector)}
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end
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def dump(_), do: :error
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end
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@@ -0,0 +1,182 @@
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defmodule SqliteVec.Ecto.Query do
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@moduledoc """
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Macros for Ecto
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"""
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@doc """
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Creates a bit vector
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"""
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defmacro vec_bit(vector) do
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quote do
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fragment("vec_bit(?)", type(^unquote(vector).data, :binary))
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end
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end
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@doc """
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Creates an int8 vector
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"""
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defmacro vec_int8(vector) do
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quote do
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fragment("vec_int8(?)", type(^unquote(vector).data, :binary))
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end
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end
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@doc """
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Creates a float32 vector
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"""
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defmacro vec_f32(vector) do
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quote do
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fragment("vec_f32(?)", type(^unquote(vector).data, :binary))
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end
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end
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@doc """
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Calculates the L2 euclidian distance between vectors a and b. Only valid for float32 or int8 vectors.
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Returns an error under the following conditions:
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- a or b are invalid vectors
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- a or b do not share the same vector element types (ex float32 or int8)
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- a or b are bit vectors. Use vec_distance_hamming() for distance calculations between two bitvectors.
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- a or b do not have the same length.
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"""
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# credo:disable-for-next-line Credo.Check.Readability.FunctionNames
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defmacro vec_distance_L2(a, b) do
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quote do
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fragment("vec_distance_L2(?, ?)", unquote(a), unquote(b))
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end
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end
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@doc """
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Calculates the cosine distance between vectors a and b. Only valid for float32 or int8 vectors.
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Returns an error under the following conditions:
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- a or b are invalid vectors
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- a or b do not share the same vector element types (ex float32 or int8)
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- a or b are bit vectors. Use vec_distance_hamming() for distance calculations between two bitvectors.
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- a or b do not have the same length
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"""
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defmacro vec_distance_cosine(a, b) do
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quote do
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fragment("vec_distance_cosine(?, ?)", unquote(a), unquote(b))
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end
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end
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@doc """
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Calculates the hamming distance between two bitvectors a and b. Only valid for bitvectors.
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Returns an error under the following conditions:
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- a or b are not bitvectors
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- a and b do not share the same length
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- Memory cannot be allocated
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"""
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defmacro vec_distance_hamming(a, b) do
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quote do
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fragment("vec_distance_hamming(?, ?)", unquote(a), unquote(b))
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end
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end
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defmacro vec_match(a, b) do
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quote do
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fragment("? match ?", unquote(a), unquote(b))
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end
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end
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@doc """
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Returns the number of elements in the given vector
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"""
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defmacro vec_length(vector) do
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quote do
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fragment("vec_length(?)", unquote(vector))
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end
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end
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@doc """
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Returns the name of the type of `vector` as text
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"""
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defmacro vec_type(vector) do
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quote do
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fragment("vec_type(?)", unquote(vector))
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end
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end
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@doc """
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Adds every element in vector a with vector b, returning a new vector c.
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Both vectors must be of the same type and same length.
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Only float32 and int8 vectors are supported.
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An error is raised if either a or b are invalid, or if they are not the same type or same length.
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"""
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defmacro vec_add(a, b) do
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quote do
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fragment("vec_add(?, ?)", unquote(a), unquote(b))
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end
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end
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@doc """
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Subtracts every element in vector a with vector b, returning a new vector c.
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Both vectors must be of the same type and same length.
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Only float32 and int8 vectors are supported.
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An error is raised if either a or b are invalid, or if they are not the same type or same length.
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"""
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defmacro vec_sub(a, b) do
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quote do
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fragment("vec_sub(?, ?)", unquote(a), unquote(b))
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end
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end
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@doc """
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Performs L2 normalization on the given vector.
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Only float32 vectors are currently supported.
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Returns an error if the input is an invalid vector or not a float32 vector.
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"""
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defmacro vec_normalize(vector) do
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quote do
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fragment("vec_normalize(?)", unquote(vector))
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end
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end
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@doc """
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Extract a subset of vector from the start element (inclusive) to the end element (exclusive).
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This is especially useful for Matryoshka embeddings, also known as "adaptive length" embeddings.
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Use with vec_normalize() to get proper results.
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Returns an error in the following conditions:
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- If vector is not a valid vector
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- If start is less than zero or greater than or equal to end
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- If end is greater than the length of vector, or less than or equal to start.
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- If vector is a bitvector, start and end must be divisible by 8.
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"""
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defmacro vec_slice(vector, start_index, end_index) do
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quote do
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fragment("vec_slice(?, ?, ?)", unquote(vector), unquote(start_index), unquote(end_index))
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end
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end
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@doc """
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Represents a vector as JSON text.
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The input vector can be a vector BLOB or JSON text.
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Returns an error if vector is an invalid vector, or when memory cannot be allocated.
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"""
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defmacro vec_to_json(vector) do
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quote do
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fragment("vec_to_json(?)", unquote(vector))
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end
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end
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@doc """
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Quantize a float32 or int8 vector into a bitvector.
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For every element in the vector, a 1 is assigned to positive numbers and a 0 is assigned to negative numbers.
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These values are then packed into a bit vector.
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Returns an error if vector is invalid, or if vector is not a float32 or int8 vector.
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"""
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defmacro vec_quantize_binary(vector) do
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quote do
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fragment("vec_quantize_binary(?)", unquote(vector))
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end
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end
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end
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@@ -0,0 +1,114 @@
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defmodule SqliteVec.Float32 do
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@moduledoc """
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A vector struct for float32 vectors.
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Vectors are stored as binaries in the endianness of the system.
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> ### Consider endianness {: .warning}
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>
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> `SqliteVec.Float32.Vector` holds data in system endianness.
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> Therefore, the same vector data will be interpreted differently on another system with different endianness.
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> Moreover, you must consider endianness when converting the binary data directly to a list of numbers.
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iex> v = SqliteVec.Float32.new([-1.0, 2.0])
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...> b = SqliteVec.Float32.to_binary(v)
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...> <<f1::float-32, f2::float-32>> = b
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...> [f1, f2]
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case System.endianness() do
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:big -> [-1.0, 2.0]
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:little -> [4.618539608568165e-41, 8.96831017167883e-44]
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end
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"""
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@type t :: %__MODULE__{data: binary()}
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defstruct [:data]
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@doc """
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Creates a new vector from a vector, list, or tensor
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The vector must be a `SqliteVec.Float32` vector.
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The list may contain any number but the values will be converted to f32 format.
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The tensor must have a rank of 1 and must be of type :f32.
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## Examples
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iex> SqliteVec.Float32.new([1.0, 2.0])
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%SqliteVec.Float32{data: <<1.0::float-32-native, 2.0::float-32-native>>}
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iex> v1 = SqliteVec.Float32.new([1, 2])
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...> SqliteVec.Float32.new(v1)
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%SqliteVec.Float32{data: <<1.0::float-32-native, 2.0::float-32-native>>}
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iex> SqliteVec.Float32.new(Nx.tensor([1, 2], type: :f32))
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%SqliteVec.Float32{data: <<1.0::float-32-native, 2.0::float-32-native>>}
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"""
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def new(vector_or_list_or_tensor)
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def new(%SqliteVec.Float32{} = vector) do
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vector
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end
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def new(list) when is_list(list) do
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if list == [] do
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raise ArgumentError, "list must not be empty"
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end
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bin = for v <- list, into: <<>>, do: <<v::float-32-native>>
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from_binary(<<bin::binary>>)
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end
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if Code.ensure_loaded?(Nx) do
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def new(tensor) when is_struct(tensor, Nx.Tensor) do
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if Nx.rank(tensor) != 1 do
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raise ArgumentError, "expected rank to be 1"
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end
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if Nx.type(tensor) != {:f, 32} do
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raise ArgumentError, "expected type to be :f32"
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end
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bin = tensor |> Nx.to_binary()
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from_binary(<<bin::binary>>)
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end
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end
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@doc """
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Creates a new vector from its binary representation
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"""
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def from_binary(binary) when is_binary(binary) do
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%SqliteVec.Float32{data: binary}
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end
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@doc """
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||||
Converts the vector to its binary representation
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"""
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def to_binary(vector) when is_struct(vector, SqliteVec.Float32) do
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vector.data
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end
|
||||
|
||||
@doc """
|
||||
Converts the vector to a list
|
||||
"""
|
||||
def to_list(vector) when is_struct(vector, SqliteVec.Float32) do
|
||||
<<bin::binary>> = vector.data
|
||||
|
||||
for <<v::float-32-native <- bin>>, 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
|
||||
<<bin::binary>> = 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
|
||||
@@ -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
|
||||
|
||||
@@ -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()
|
||||
|
||||
|
||||
Reference in New Issue
Block a user