SET enable_seqscan = off; -- L2 CREATE TABLE t (val sparsevec(3)); INSERT INTO t (val) VALUES ('{}/3'), ('{1:1,2:2,3:3}/3'), ('{1:1,2:1,3:1}/3'), (NULL); CREATE INDEX ON t USING hnsw (val sparsevec_l2_ops); INSERT INTO t (val) VALUES ('{1:1,2:2,3:4}/3'); SELECT * FROM t ORDER BY val <-> '{1:3,2:3,3:3}/3'; val ----------------- {1:1,2:2,3:3}/3 {1:1,2:2,3:4}/3 {1:1,2:1,3:1}/3 {}/3 (4 rows) SELECT COUNT(*) FROM (SELECT * FROM t ORDER BY val <-> (SELECT NULL::sparsevec)) t2; count ------- 4 (1 row) SELECT COUNT(*) FROM t; count ------- 5 (1 row) TRUNCATE t; SELECT * FROM t ORDER BY val <-> '{1:3,2:3,3:3}/3'; val ----- (0 rows) DROP TABLE t; -- inner product CREATE TABLE t (val sparsevec(3)); INSERT INTO t (val) VALUES ('{}/3'), ('{1:1,2:2,3:3}/3'), ('{1:1,2:1,3:1}/3'), (NULL); CREATE INDEX ON t USING hnsw (val sparsevec_ip_ops); INSERT INTO t (val) VALUES ('{1:1,2:2,3:4}/3'); SELECT * FROM t ORDER BY val <#> '{1:3,2:3,3:3}/3'; val ----------------- {1:1,2:2,3:4}/3 {1:1,2:2,3:3}/3 {1:1,2:1,3:1}/3 {}/3 (4 rows) SELECT COUNT(*) FROM (SELECT * FROM t ORDER BY val <#> (SELECT NULL::sparsevec)) t2; count ------- 4 (1 row) DROP TABLE t; -- cosine CREATE TABLE t (val sparsevec(3)); INSERT INTO t (val) VALUES ('{}/3'), ('{1:1,2:2,3:3}/3'), ('{1:1,2:1,3:1}/3'), (NULL); CREATE INDEX ON t USING hnsw (val sparsevec_cosine_ops); INSERT INTO t (val) VALUES ('{1:1,2:2,3:4}/3'); SELECT * FROM t ORDER BY val <=> '{1:3,2:3,3:3}/3'; val ----------------- {1:1,2:1,3:1}/3 {1:1,2:2,3:3}/3 {1:1,2:2,3:4}/3 (3 rows) SELECT COUNT(*) FROM (SELECT * FROM t ORDER BY val <=> '{}/3') t2; count ------- 3 (1 row) SELECT COUNT(*) FROM (SELECT * FROM t ORDER BY val <=> (SELECT NULL::sparsevec)) t2; count ------- 3 (1 row) DROP TABLE t; -- L1 CREATE TABLE t (val sparsevec(3)); INSERT INTO t (val) VALUES ('{}/3'), ('{1:1,2:2,3:3}/3'), ('{1:1,2:1,3:1}/3'), (NULL); CREATE INDEX ON t USING hnsw (val sparsevec_l1_ops); INSERT INTO t (val) VALUES ('{1:1,2:2,3:4}/3'); SELECT * FROM t ORDER BY val <+> '{1:3,2:3,3:3}/3'; val ----------------- {1:1,2:2,3:3}/3 {1:1,2:2,3:4}/3 {1:1,2:1,3:1}/3 {}/3 (4 rows) SELECT COUNT(*) FROM (SELECT * FROM t ORDER BY val <+> (SELECT NULL::sparsevec)) t2; count ------- 4 (1 row) DROP TABLE t; -- non-zero elements CREATE TABLE t (val sparsevec(1001)); INSERT INTO t (val) VALUES (array_fill(1, ARRAY[1001])::vector::sparsevec); CREATE INDEX ON t USING hnsw (val sparsevec_l2_ops); ERROR: sparsevec cannot have more than 1000 non-zero elements for hnsw index TRUNCATE t; CREATE INDEX ON t USING hnsw (val sparsevec_l2_ops); INSERT INTO t (val) VALUES (array_fill(1, ARRAY[1001])::vector::sparsevec); ERROR: sparsevec cannot have more than 1000 non-zero elements for hnsw index DROP TABLE t;