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Postgres has a very nice implementation with a vector type and vector operators.
Attached an example.
CREATE TABLE test (id SERIAL PRIMARY KEY, name char(10), embedding vector(3));
INSERT INTO test (name, embedding) VALUES
('Item A', '[1.0, 2.0, 3.0]'),
('Item B', '[4.0, 5.0, 6.0]'),
('Item C', '[7.0, 8.0, 9.0]');
SELECT id, name, embedding,
embedding <=> '[2.0, 2.0, 2.0]' AS cosine_similarity
FROM test
ORDER BY cosine_similarity DESC;
SELECT id, name, embedding,
embedding <-> '[2.0, 2.0, 2.0]' AS euclidean_distance
FROM test
ORDER BY euclidean_distance ASC;
SELECT id, name, embedding,
embedding <#> '[2.0, 2.0, 2.0]' AS inner_product
FROM test
ORDER BY inner_product DESC;