Improved name [skip ci]

CHANGELOG.md

@@ -1,7 +1,6 @@
 ## 0.8.0 (unreleased)
 
 - Added casts for arrays to `sparsevec`
-- Improved cost estimation
 - Reduced memory usage for HNSW index scans
 - Dropped support for Postgres 12
 

Dockerfile

@@ -1,4 +1,4 @@
-ARG PG_MAJOR=17
+ARG PG_MAJOR=16
 FROM postgres:$PG_MAJOR
 ARG PG_MAJOR
 

Makefile

@@ -4,8 +4,8 @@ EXTVERSION = 0.7.4
 MODULE_big = vector
 DATA = $(wildcard sql/*--*--*.sql)
 DATA_built = sql/$(EXTENSION)--$(EXTVERSION).sql
-OBJS = src/bitutils.o src/bitvec.o src/halfutils.o src/halfvec.o src/hnsw.o src/hnswbuild.o src/hnswinsert.o src/hnswscan.o src/hnswutils.o src/hnswvacuum.o src/ivfbuild.o src/ivfflat.o src/ivfinsert.o src/ivfkmeans.o src/ivfscan.o src/ivfutils.o src/ivfvacuum.o src/sparsevec.o src/vector.o
+OBJS = src/bitutils.o src/bitvec.o src/halfutils.o src/halfvec.o src/hnsw.o src/hnswbuild.o src/hnswinsert.o src/hnswscan.o src/hnswutils.o src/hnswvacuum.o src/ivfbuild.o src/ivfflat.o src/ivfinsert.o src/ivfkmeans.o src/ivfscan.o src/ivfutils.o src/minivec.o src/ivfvacuum.o src/sparsevec.o src/vector.o
-HEADERS = src/halfvec.h src/sparsevec.h src/vector.h
+HEADERS = src/halfvec.h src/minivec.h src/sparsevec.h src/vector.h
 
 TESTS = $(wildcard test/sql/*.sql)
 REGRESS = $(patsubst test/sql/%.sql,%,$(TESTS))
@@ -66,7 +66,7 @@ dist:
 	git archive --format zip --prefix=$(EXTENSION)-$(EXTVERSION)/ --output dist/$(EXTENSION)-$(EXTVERSION).zip master
 
 # for Docker
-PG_MAJOR ?= 17
+PG_MAJOR ?= 16
 
 .PHONY: docker
 

Makefile.win

@@ -2,10 +2,10 @@ EXTENSION = vector
 EXTVERSION = 0.7.4
 
 DATA_built = sql\$(EXTENSION)--$(EXTVERSION).sql
-OBJS = src\bitutils.obj src\bitvec.obj src\halfutils.obj src\halfvec.obj src\hnsw.obj src\hnswbuild.obj src\hnswinsert.obj src\hnswscan.obj src\hnswutils.obj src\hnswvacuum.obj src\ivfbuild.obj src\ivfflat.obj src\ivfinsert.obj src\ivfkmeans.obj src\ivfscan.obj src\ivfutils.obj src\ivfvacuum.obj src\sparsevec.obj src\vector.obj
+OBJS = src\bitutils.obj src\bitvec.obj src\halfutils.obj src\halfvec.obj src\hnsw.obj src\hnswbuild.obj src\hnswinsert.obj src\hnswscan.obj src\hnswutils.obj src\hnswvacuum.obj src\ivfbuild.obj src\ivfflat.obj src\ivfinsert.obj src\ivfkmeans.obj src\ivfscan.obj src\ivfutils.obj src\ivfvacuum.obj src\minivec.obj src\sparsevec.obj src\vector.obj
-HEADERS = src\halfvec.h src\sparsevec.h src\vector.h
+HEADERS = src\halfvec.h src\minivec.h src\sparsevec.h src\vector.h
 
-REGRESS = bit btree cast copy halfvec hnsw_bit hnsw_halfvec hnsw_sparsevec hnsw_vector ivfflat_bit ivfflat_halfvec ivfflat_vector sparsevec vector_type
+REGRESS = bit btree cast copy halfvec hnsw_bit hnsw_halfvec hnsw_sparsevec hnsw_vector ivfflat_bit ivfflat_halfvec ivfflat_vector minivec sparsevec vector_type
 REGRESS_OPTS = --inputdir=test --load-extension=$(EXTENSION)
 
 # For /arch flags

README.md

@@ -52,8 +52,6 @@ nmake /F Makefile.win
 nmake /F Makefile.win install
 ```
 
-Note: Postgres 17 is not supported yet due to an upstream issue
-
 See the [installation notes](#installation-notes---windows) if you run into issues
 
 You can also install it with [Docker](#docker) or [conda-forge](#conda-forge).
@@ -102,8 +100,6 @@ Or add a vector column to an existing table
 ALTER TABLE items ADD COLUMN embedding vector(3);
 ```
 
-Also supports [half-precision](#half-precision-vectors), [binary](#binary-vectors), and [sparse](#sparse-vectors) vectors
-
 Insert vectors
 
 ```sql
@@ -149,8 +145,6 @@ Supported distance functions are:
 - `<#>` - (negative) inner product
 - `<=>` - cosine distance
 - `<+>` - L1 distance (added in 0.7.0)
-- `<~>` - Hamming distance (binary vectors, added in 0.7.0)
-- `<%>` - Jaccard distance (binary vectors, added in 0.7.0)
 
 Get the nearest neighbors to a row
 
@@ -940,6 +934,37 @@ Function | Description | Added
 avg(halfvec) → halfvec | average | 0.7.0
 sum(halfvec) → halfvec | sum | 0.7.0
 
+### Minivec Type
+
+Each mini vector takes `dimensions + 8` bytes of storage. Each element is a E4M3 8-bit floating-point number, and all elements must be finite (no `NaN`). Mini vectors can have up to 16,000 dimensions.
+
+### Minivec Operators
+
+Operator | Description | Added
+--- | --- | ---
+\+ | element-wise addition | 0.8.0
+\- | element-wise subtraction | 0.8.0
+\* | element-wise multiplication | 0.8.0
+\|\| | concatenate | 0.8.0
+<-> | Euclidean distance | 0.8.0
+<#> | negative inner product | 0.8.0
+<=> | cosine distance | 0.8.0
+<+> | taxicab distance | 0.8.0
+
+### Minivec Functions
+
+Function | Description | Added
+--- | --- | ---
+binary_quantize(minivec) → bit | binary quantize | 0.8.0
+cosine_distance(minivec, minivec) → double precision | cosine distance | 0.8.0
+inner_product(minivec, minivec) → double precision | inner product | 0.8.0
+l1_distance(minivec, minivec) → double precision | taxicab distance | 0.8.0
+l2_distance(minivec, minivec) → double precision | Euclidean distance | 0.8.0
+l2_norm(minivec) → double precision | Euclidean norm | 0.8.0
+l2_normalize(minivec) → minivec | Normalize with Euclidean norm | 0.8.0
+subvector(minivec, integer, integer) → minivec | subvector | 0.8.0
+vector_dims(minivec) → integer | number of dimensions | 0.8.0
+
 ### Bit Type
 
 Each bit vector takes `dimensions / 8 + 8` bytes of storage. See the [Postgres docs](https://www.postgresql.org/docs/current/datatype-bit.html) for more info.
@@ -989,7 +1014,7 @@ l2_normalize(sparsevec) → sparsevec | Normalize with Euclidean norm | 0.7.0
 If your machine has multiple Postgres installations, specify the path to [pg_config](https://www.postgresql.org/docs/current/app-pgconfig.html) with:
 
 ```sh
-export PG_CONFIG=/Library/PostgreSQL/17/bin/pg_config
+export PG_CONFIG=/Library/PostgreSQL/16/bin/pg_config
 ```
 
 Then re-run the installation instructions (run `make clean` before `make` if needed). If `sudo` is needed for `make install`, use:
@@ -1000,11 +1025,11 @@ sudo --preserve-env=PG_CONFIG make install
 
 A few common paths on Mac are:
 
-- EDB installer - `/Library/PostgreSQL/17/bin/pg_config`
+- EDB installer - `/Library/PostgreSQL/16/bin/pg_config`
-- Homebrew (arm64) - `/opt/homebrew/opt/postgresql@17/bin/pg_config`
+- Homebrew (arm64) - `/opt/homebrew/opt/postgresql@16/bin/pg_config`
-- Homebrew (x86-64) - `/usr/local/opt/postgresql@17/bin/pg_config`
+- Homebrew (x86-64) - `/usr/local/opt/postgresql@16/bin/pg_config`
 
-Note: Replace `17` with your Postgres server version
+Note: Replace `16` with your Postgres server version
 
 ### Missing Header
 
@@ -1013,10 +1038,10 @@ If compilation fails with `fatal error: postgres.h: No such file or directory`,
 For Ubuntu and Debian, use:
 
 ```sh
-sudo apt install postgresql-server-dev-17
+sudo apt install postgresql-server-dev-16
 ```
 
-Note: Replace `17` with your Postgres server version
+Note: Replace `16` with your Postgres server version
 
 ### Missing SDK
 
@@ -1049,17 +1074,17 @@ If installation fails with `Access is denied`, re-run the installation instructi
 Get the [Docker image](https://hub.docker.com/r/pgvector/pgvector) with:
 
 ```sh
-docker pull pgvector/pgvector:pg17
+docker pull pgvector/pgvector:pg16
 ```
 
-This adds pgvector to the [Postgres image](https://hub.docker.com/_/postgres) (replace `17` with your Postgres server version, and run it the same way).
+This adds pgvector to the [Postgres image](https://hub.docker.com/_/postgres) (replace `16` with your Postgres server version, and run it the same way).
 
 You can also build the image manually:
 
 ```sh
 git clone --branch v0.7.4 https://github.com/pgvector/pgvector.git
 cd pgvector
-docker build --pull --build-arg PG_MAJOR=17 -t myuser/pgvector .
+docker build --pull --build-arg PG_MAJOR=16 -t myuser/pgvector .
 ```
 
 ### Homebrew
@@ -1070,7 +1095,7 @@ With Homebrew Postgres, you can use:
 brew install pgvector
 ```
 
-Note: This only adds it to the `postgresql@17` and `postgresql@14` formulas
+Note: This only adds it to the `postgresql@14` formula
 
 ### PGXN
 
@@ -1085,22 +1110,22 @@ pgxn install vector
 Debian and Ubuntu packages are available from the [PostgreSQL APT Repository](https://wiki.postgresql.org/wiki/Apt). Follow the [setup instructions](https://wiki.postgresql.org/wiki/Apt#Quickstart) and run:
 
 ```sh
-sudo apt install postgresql-17-pgvector
+sudo apt install postgresql-16-pgvector
 ```
 
-Note: Replace `17` with your Postgres server version
+Note: Replace `16` with your Postgres server version
 
 ### Yum
 
 RPM packages are available from the [PostgreSQL Yum Repository](https://yum.postgresql.org/). Follow the [setup instructions](https://www.postgresql.org/download/linux/redhat/) for your distribution and run:
 
 ```sh
-sudo yum install pgvector_17
+sudo yum install pgvector_16
 # or
-sudo dnf install pgvector_17
+sudo dnf install pgvector_16
 ```
 
-Note: Replace `17` with your Postgres server version
+Note: Replace `16` with your Postgres server version
 
 ### pkg
 

sql/vector--0.7.4--0.8.0.sql

@@ -1,6 +1,8 @@
 -- complain if script is sourced in psql, rather than via CREATE EXTENSION
 \echo Use "ALTER EXTENSION vector UPDATE TO '0.8.0'" to load this file. \quit
 
+-- TODO minivec functions
+
 CREATE FUNCTION array_to_sparsevec(integer[], integer, boolean) RETURNS sparsevec
 	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
 

sql/vector.sql

@@ -266,12 +266,18 @@ COMMENT ON ACCESS METHOD hnsw IS 'hnsw index access method';
 CREATE FUNCTION ivfflat_halfvec_support(internal) RETURNS internal
 	AS 'MODULE_PATHNAME' LANGUAGE C;
 
+CREATE FUNCTION ivfflat_minivec_support(internal) RETURNS internal
+	AS 'MODULE_PATHNAME' LANGUAGE C;
+
 CREATE FUNCTION ivfflat_bit_support(internal) RETURNS internal
 	AS 'MODULE_PATHNAME' LANGUAGE C;
 
 CREATE FUNCTION hnsw_halfvec_support(internal) RETURNS internal
 	AS 'MODULE_PATHNAME' LANGUAGE C;
 
+CREATE FUNCTION hnsw_minivec_support(internal) RETURNS internal
+	AS 'MODULE_PATHNAME' LANGUAGE C;
+
 CREATE FUNCTION hnsw_bit_support(internal) RETURNS internal
 	AS 'MODULE_PATHNAME' LANGUAGE C;
 
@@ -647,6 +653,295 @@ CREATE OPERATOR CLASS halfvec_l1_ops
 	FUNCTION 1 l1_distance(halfvec, halfvec),
 	FUNCTION 3 hnsw_halfvec_support(internal);
 
+-- minivec type
+
+CREATE TYPE minivec;
+
+CREATE FUNCTION minivec_in(cstring, oid, integer) RETURNS minivec
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_out(minivec) RETURNS cstring
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_typmod_in(cstring[]) RETURNS integer
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_recv(internal, oid, integer) RETURNS minivec
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_send(minivec) RETURNS bytea
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE TYPE minivec (
+	INPUT     = minivec_in,
+	OUTPUT    = minivec_out,
+	TYPMOD_IN = minivec_typmod_in,
+	RECEIVE   = minivec_recv,
+	SEND      = minivec_send,
+	STORAGE   = external
+);
+
+-- minivec functions
+
+CREATE FUNCTION l2_distance(minivec, minivec) RETURNS float8
+	AS 'MODULE_PATHNAME', 'minivec_l2_distance' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION inner_product(minivec, minivec) RETURNS float8
+	AS 'MODULE_PATHNAME', 'minivec_inner_product' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION cosine_distance(minivec, minivec) RETURNS float8
+	AS 'MODULE_PATHNAME', 'minivec_cosine_distance' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION l1_distance(minivec, minivec) RETURNS float8
+	AS 'MODULE_PATHNAME', 'minivec_l1_distance' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION vector_dims(minivec) RETURNS integer
+	AS 'MODULE_PATHNAME', 'minivec_vector_dims' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION l2_norm(minivec) RETURNS float8
+	AS 'MODULE_PATHNAME', 'minivec_l2_norm' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION l2_normalize(minivec) RETURNS minivec
+	AS 'MODULE_PATHNAME', 'minivec_l2_normalize' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION binary_quantize(minivec) RETURNS bit
+	AS 'MODULE_PATHNAME', 'minivec_binary_quantize' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION subvector(minivec, int, int) RETURNS minivec
+	AS 'MODULE_PATHNAME', 'minivec_subvector' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+-- minivec private functions
+
+CREATE FUNCTION minivec_add(minivec, minivec) RETURNS minivec
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_sub(minivec, minivec) RETURNS minivec
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_mul(minivec, minivec) RETURNS minivec
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_concat(minivec, minivec) RETURNS minivec
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_lt(minivec, minivec) RETURNS bool
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_le(minivec, minivec) RETURNS bool
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_eq(minivec, minivec) RETURNS bool
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_ne(minivec, minivec) RETURNS bool
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_ge(minivec, minivec) RETURNS bool
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_gt(minivec, minivec) RETURNS bool
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_cmp(minivec, minivec) RETURNS int4
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_l2_squared_distance(minivec, minivec) RETURNS float8
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_negative_inner_product(minivec, minivec) RETURNS float8
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_spherical_distance(minivec, minivec) RETURNS float8
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+-- minivec cast functions
+
+CREATE FUNCTION minivec(minivec, integer, boolean) RETURNS minivec
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_to_vector(minivec, integer, boolean) RETURNS vector
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION vector_to_minivec(vector, integer, boolean) RETURNS minivec
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION array_to_minivec(integer[], integer, boolean) RETURNS minivec
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION array_to_minivec(real[], integer, boolean) RETURNS minivec
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION array_to_minivec(double precision[], integer, boolean) RETURNS minivec
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION array_to_minivec(numeric[], integer, boolean) RETURNS minivec
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION minivec_to_float4(minivec, integer, boolean) RETURNS real[]
+	AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+-- minivec casts
+
+CREATE CAST (minivec AS minivec)
+	WITH FUNCTION minivec(minivec, integer, boolean) AS IMPLICIT;
+
+CREATE CAST (minivec AS vector)
+	WITH FUNCTION minivec_to_vector(minivec, integer, boolean) AS ASSIGNMENT;
+
+CREATE CAST (vector AS minivec)
+	WITH FUNCTION vector_to_minivec(vector, integer, boolean) AS IMPLICIT;
+
+CREATE CAST (minivec AS real[])
+	WITH FUNCTION minivec_to_float4(minivec, integer, boolean) AS ASSIGNMENT;
+
+CREATE CAST (integer[] AS minivec)
+	WITH FUNCTION array_to_minivec(integer[], integer, boolean) AS ASSIGNMENT;
+
+CREATE CAST (real[] AS minivec)
+	WITH FUNCTION array_to_minivec(real[], integer, boolean) AS ASSIGNMENT;
+
+CREATE CAST (double precision[] AS minivec)
+	WITH FUNCTION array_to_minivec(double precision[], integer, boolean) AS ASSIGNMENT;
+
+CREATE CAST (numeric[] AS minivec)
+	WITH FUNCTION array_to_minivec(numeric[], integer, boolean) AS ASSIGNMENT;
+
+-- minivec operators
+
+CREATE OPERATOR <-> (
+	LEFTARG = minivec, RIGHTARG = minivec, PROCEDURE = l2_distance,
+	COMMUTATOR = '<->'
+);
+
+CREATE OPERATOR <#> (
+	LEFTARG = minivec, RIGHTARG = minivec, PROCEDURE = minivec_negative_inner_product,
+	COMMUTATOR = '<#>'
+);
+
+CREATE OPERATOR <=> (
+	LEFTARG = minivec, RIGHTARG = minivec, PROCEDURE = cosine_distance,
+	COMMUTATOR = '<=>'
+);
+
+CREATE OPERATOR <+> (
+	LEFTARG = minivec, RIGHTARG = minivec, PROCEDURE = l1_distance,
+	COMMUTATOR = '<+>'
+);
+
+CREATE OPERATOR + (
+	LEFTARG = minivec, RIGHTARG = minivec, PROCEDURE = minivec_add,
+	COMMUTATOR = +
+);
+
+CREATE OPERATOR - (
+	LEFTARG = minivec, RIGHTARG = minivec, PROCEDURE = minivec_sub
+);
+
+CREATE OPERATOR * (
+	LEFTARG = minivec, RIGHTARG = minivec, PROCEDURE = minivec_mul,
+	COMMUTATOR = *
+);
+
+CREATE OPERATOR || (
+	LEFTARG = minivec, RIGHTARG = minivec, PROCEDURE = minivec_concat
+);
+
+CREATE OPERATOR < (
+	LEFTARG = minivec, RIGHTARG = minivec, PROCEDURE = minivec_lt,
+	COMMUTATOR = > , NEGATOR = >= ,
+	RESTRICT = scalarltsel, JOIN = scalarltjoinsel
+);
+
+CREATE OPERATOR <= (
+	LEFTARG = minivec, RIGHTARG = minivec, PROCEDURE = minivec_le,
+	COMMUTATOR = >= , NEGATOR = > ,
+	RESTRICT = scalarlesel, JOIN = scalarlejoinsel
+);
+
+CREATE OPERATOR = (
+	LEFTARG = minivec, RIGHTARG = minivec, PROCEDURE = minivec_eq,
+	COMMUTATOR = = , NEGATOR = <> ,
+	RESTRICT = eqsel, JOIN = eqjoinsel
+);
+
+CREATE OPERATOR <> (
+	LEFTARG = minivec, RIGHTARG = minivec, PROCEDURE = minivec_ne,
+	COMMUTATOR = <> , NEGATOR = = ,
+	RESTRICT = eqsel, JOIN = eqjoinsel
+);
+
+CREATE OPERATOR >= (
+	LEFTARG = minivec, RIGHTARG = minivec, PROCEDURE = minivec_ge,
+	COMMUTATOR = <= , NEGATOR = < ,
+	RESTRICT = scalargesel, JOIN = scalargejoinsel
+);
+
+CREATE OPERATOR > (
+	LEFTARG = minivec, RIGHTARG = minivec, PROCEDURE = minivec_gt,
+	COMMUTATOR = < , NEGATOR = <= ,
+	RESTRICT = scalargtsel, JOIN = scalargtjoinsel
+);
+
+-- minivec op classes
+
+CREATE OPERATOR CLASS minivec_ops
+	DEFAULT FOR TYPE minivec USING btree AS
+	OPERATOR 1 < ,
+	OPERATOR 2 <= ,
+	OPERATOR 3 = ,
+	OPERATOR 4 >= ,
+	OPERATOR 5 > ,
+	FUNCTION 1 minivec_cmp(minivec, minivec);
+
+CREATE OPERATOR CLASS minivec_l2_ops
+	FOR TYPE minivec USING ivfflat AS
+	OPERATOR 1 <-> (minivec, minivec) FOR ORDER BY float_ops,
+	FUNCTION 1 minivec_l2_squared_distance(minivec, minivec),
+	FUNCTION 3 l2_distance(minivec, minivec),
+	FUNCTION 5 ivfflat_minivec_support(internal);
+
+CREATE OPERATOR CLASS minivec_ip_ops
+	FOR TYPE minivec USING ivfflat AS
+	OPERATOR 1 <#> (minivec, minivec) FOR ORDER BY float_ops,
+	FUNCTION 1 minivec_negative_inner_product(minivec, minivec),
+	FUNCTION 3 minivec_spherical_distance(minivec, minivec),
+	FUNCTION 4 l2_norm(minivec),
+	FUNCTION 5 ivfflat_minivec_support(internal);
+
+CREATE OPERATOR CLASS minivec_cosine_ops
+	FOR TYPE minivec USING ivfflat AS
+	OPERATOR 1 <=> (minivec, minivec) FOR ORDER BY float_ops,
+	FUNCTION 1 cosine_distance(minivec, minivec),
+	FUNCTION 2 l2_norm(minivec),
+	FUNCTION 3 minivec_spherical_distance(minivec, minivec),
+	FUNCTION 4 l2_norm(minivec),
+	FUNCTION 5 ivfflat_minivec_support(internal);
+
+CREATE OPERATOR CLASS minivec_l2_ops
+	FOR TYPE minivec USING hnsw AS
+	OPERATOR 1 <-> (minivec, minivec) FOR ORDER BY float_ops,
+	FUNCTION 1 minivec_l2_squared_distance(minivec, minivec),
+	FUNCTION 3 hnsw_minivec_support(internal);
+
+CREATE OPERATOR CLASS minivec_ip_ops
+	FOR TYPE minivec USING hnsw AS
+	OPERATOR 1 <#> (minivec, minivec) FOR ORDER BY float_ops,
+	FUNCTION 1 minivec_negative_inner_product(minivec, minivec),
+	FUNCTION 3 hnsw_minivec_support(internal);
+
+CREATE OPERATOR CLASS minivec_cosine_ops
+	FOR TYPE minivec USING hnsw AS
+	OPERATOR 1 <=> (minivec, minivec) FOR ORDER BY float_ops,
+	FUNCTION 1 cosine_distance(minivec, minivec),
+	FUNCTION 2 l2_norm(minivec),
+	FUNCTION 3 hnsw_minivec_support(internal);
+
+CREATE OPERATOR CLASS minivec_l1_ops
+	FOR TYPE minivec USING hnsw AS
+	OPERATOR 1 <+> (minivec, minivec) FOR ORDER BY float_ops,
+	FUNCTION 1 l1_distance(minivec, minivec),
+	FUNCTION 3 hnsw_minivec_support(internal);
+
 -- bit functions
 
 CREATE FUNCTION hamming_distance(bit, bit) RETURNS float8

src/hnsw.c

@@ -12,7 +12,6 @@
 #include "utils/float.h"
 #include "utils/guc.h"
 #include "utils/selfuncs.h"
-#include "utils/spccache.h"
 
 #if PG_VERSION_NUM < 150000
 #define MarkGUCPrefixReserved(x) EmitWarningsOnPlaceholders(x)
@@ -100,9 +99,7 @@ hnswcostestimate(PlannerInfo *root, IndexPath *path, double loop_count,
 {
 	GenericCosts costs;
 	int			m;
-	double		ratio;
+	int			entryLevel;
-	double		startupPages;
-	double		spc_seq_page_cost;
 	Relation	index;
 
 	/* Never use index without order */
@@ -118,71 +115,21 @@ hnswcostestimate(PlannerInfo *root, IndexPath *path, double loop_count,
 
 	MemSet(&costs, 0, sizeof(costs));
 
-	genericcostestimate(root, path, loop_count, &costs);
-
 	index = index_open(path->indexinfo->indexoid, NoLock);
 	HnswGetMetaPageInfo(index, &m, NULL);
 	index_close(index, NoLock);
 
-	/*
+	/* Approximate entry level */
-	 * HNSW cost estimation follows a formula that accounts for the total
+	entryLevel = (int) -log(1.0 / path->indexinfo->tuples) * HnswGetMl(m);
-	 * number of tuples indexed combined with the parameters that most
-	 * influence the duration of the index scan, namely: m - the number of
-	 * tuples that are scanned in each step of the HNSW graph traversal
-	 * ef_search - which influences the total number of steps taken at layer 0
-	 *
-	 * The source of the vector data can impact how many steps it takes to
-	 * converge on the set of vectors to return to the executor. Currently, we
-	 * use a hardcoded scaling factor (HNSWScanScalingFactor) to help
-	 * influence that, but this could later become a configurable parameter
-	 * based on the cost estimations.
-	 *
-	 * The tuple estimator formula is below:
-	 *
-	 * numIndexTuples = entryLevel * m + layer0TuplesMax * layer0Selectivity
-	 *
-	 * "entryLevel * m" represents the floor of tuples we need to scan to get
-	 * to layer 0 (L0).
-	 *
-	 * "layer0TuplesMax" is the estimated total number of tuples we'd scan at
-	 * L0 if we weren't discarding already visited tuples as part of the scan.
-	 *
-	 * "layer0Selectivity" estimates the percentage of tuples that are scanned
-	 * at L0, accounting for previously visited tuples, multiplied by the
-	 * "scalingFactor" (currently hardcoded).
-	 */
-	if (path->indexinfo->tuples > 0)
-	{
-		double		scalingFactor = 0.55;
-		int			entryLevel = (int) (log(path->indexinfo->tuples) * HnswGetMl(m));
-		int			layer0TuplesMax = HnswGetLayerM(m, 0) * hnsw_ef_search;
-		double		layer0Selectivity = scalingFactor * log(path->indexinfo->tuples) / (log(m) * (1 + log(hnsw_ef_search)));
 
-		ratio = (entryLevel * m + layer0TuplesMax * layer0Selectivity) / path->indexinfo->tuples;
+	/* TODO Improve estimate of visited tuples (currently underestimates) */
+	/* Account for number of tuples (or entry level), m, and ef_search */
+	costs.numIndexTuples = (entryLevel + 2) * m;
 
-		if (ratio > 1)
+	genericcostestimate(root, path, loop_count, &costs);
-			ratio = 1;
-	}
-	else
-		ratio = 1;
 
-	get_tablespace_page_costs(path->indexinfo->reltablespace, NULL, &spc_seq_page_cost);
+	/* Use total cost since most work happens before first tuple is returned */
-
+	*indexStartupCost = costs.indexTotalCost;
-	/* Startup cost is cost before returning the first row */
-	costs.indexStartupCost = costs.indexTotalCost * ratio;
-
-	/* Adjust cost if needed since TOAST not included in seq scan cost */
-	startupPages = costs.numIndexPages * ratio;
-	if (startupPages > path->indexinfo->rel->pages && ratio < 0.5)
-	{
-		/* Change all page cost from random to sequential */
-		costs.indexStartupCost -= startupPages * (costs.spc_random_page_cost - spc_seq_page_cost);
-
-		/* Remove cost of extra pages */
-		costs.indexStartupCost -= (startupPages - path->indexinfo->rel->pages) * spc_seq_page_cost;
-	}
-
-	*indexStartupCost = costs.indexStartupCost;
 	*indexTotalCost = costs.indexTotalCost;
 	*indexSelectivity = costs.indexSelectivity;
 	*indexCorrelation = costs.indexCorrelation;

src/hnswutils.c

@@ -159,6 +159,9 @@ HnswOptionalProcInfo(Relation index, uint16 procnum)
 Datum
 HnswNormValue(const HnswTypeInfo * typeInfo, Oid collation, Datum value)
 {
+	if (!typeInfo->normalize)
+		return value;
+
 	return DirectFunctionCall1Coll(typeInfo->normalize, collation, value);
 }
 
@@ -759,16 +762,9 @@ HnswLoadUnvisitedFromDisk(HnswElement element, HnswUnvisited * unvisited, int *u
 	page = BufferGetPage(buf);
 
 	ntup = (HnswNeighborTuple) PageGetItem(page, PageGetItemId(page, element->neighborOffno));
-
+	start = (element->level - lc) * m;
-	/* Ensure expected neighbors */
-	if (ntup->count != (element->level + 2) * m)
-	{
-		UnlockReleaseBuffer(buf);
-		return;
-	}
 
 	/* Copy to minimize lock time */
-	start = (element->level - lc) * m;
 	memcpy(&indextids, ntup->indextids + start, lm * sizeof(ItemPointerData));
 
 	UnlockReleaseBuffer(buf);
@@ -1334,6 +1330,7 @@ HnswFindElementNeighbors(char *base, HnswElement element, HnswElement entryPoint
 
 PGDLLEXPORT Datum l2_normalize(PG_FUNCTION_ARGS);
 PGDLLEXPORT Datum halfvec_l2_normalize(PG_FUNCTION_ARGS);
+PGDLLEXPORT Datum minivec_l2_normalize(PG_FUNCTION_ARGS);
 PGDLLEXPORT Datum sparsevec_l2_normalize(PG_FUNCTION_ARGS);
 
 static void
@@ -1382,6 +1379,20 @@ hnsw_halfvec_support(PG_FUNCTION_ARGS)
 	PG_RETURN_POINTER(&typeInfo);
 };
 
+FUNCTION_PREFIX PG_FUNCTION_INFO_V1(hnsw_minivec_support);
+Datum
+hnsw_minivec_support(PG_FUNCTION_ARGS)
+{
+	static const HnswTypeInfo typeInfo = {
+		.maxDimensions = HNSW_MAX_DIM * 4,
+		/* Do not normalize to maximize precision */
+		.normalize = NULL,
+		.checkValue = NULL
+	};
+
+	PG_RETURN_POINTER(&typeInfo);
+};
+
 FUNCTION_PREFIX PG_FUNCTION_INFO_V1(hnsw_bit_support);
 Datum
 hnsw_bit_support(PG_FUNCTION_ARGS)

src/ivfflat.c

@@ -69,8 +69,6 @@ ivfflatcostestimate(PlannerInfo *root, IndexPath *path, double loop_count,
 	GenericCosts costs;
 	int			lists;
 	double		ratio;
-	double		sequentialRatio = 0.5;
-	double		startupPages;
 	double		spc_seq_page_cost;
 	Relation	index;
 
@@ -87,8 +85,6 @@ ivfflatcostestimate(PlannerInfo *root, IndexPath *path, double loop_count,
 
 	MemSet(&costs, 0, sizeof(costs));
 
-	genericcostestimate(root, path, loop_count, &costs);
-
 	index = index_open(path->indexinfo->indexoid, NoLock);
 	IvfflatGetMetaPageInfo(index, &lists, NULL);
 	index_close(index, NoLock);
@@ -98,26 +94,41 @@ ivfflatcostestimate(PlannerInfo *root, IndexPath *path, double loop_count,
 	if (ratio > 1.0)
 		ratio = 1.0;
 
+	/*
+	 * This gives us the subset of tuples to visit. This value is passed into
+	 * the generic cost estimator to determine the number of pages to visit
+	 * during the index scan.
+	 */
+	costs.numIndexTuples = path->indexinfo->tuples * ratio;
+
+	genericcostestimate(root, path, loop_count, &costs);
+
 	get_tablespace_page_costs(path->indexinfo->reltablespace, NULL, &spc_seq_page_cost);
 
-	/* Change some page cost from random to sequential */
-	costs.indexTotalCost -= sequentialRatio * costs.numIndexPages * (costs.spc_random_page_cost - spc_seq_page_cost);
-
-	/* Startup cost is cost before returning the first row */
-	costs.indexStartupCost = costs.indexTotalCost * ratio;
-
 	/* Adjust cost if needed since TOAST not included in seq scan cost */
-	startupPages = costs.numIndexPages * ratio;
+	if (costs.numIndexPages > path->indexinfo->rel->pages && ratio < 0.5)
-	if (startupPages > path->indexinfo->rel->pages && ratio < 0.5)
 	{
-		/* Change rest of page cost from random to sequential */
+		/* Change all page cost from random to sequential */
-		costs.indexStartupCost -= (1 - sequentialRatio) * startupPages * (costs.spc_random_page_cost - spc_seq_page_cost);
+		costs.indexTotalCost -= costs.numIndexPages * (costs.spc_random_page_cost - spc_seq_page_cost);
 
 		/* Remove cost of extra pages */
-		costs.indexStartupCost -= (startupPages - path->indexinfo->rel->pages) * spc_seq_page_cost;
+		costs.indexTotalCost -= (costs.numIndexPages - path->indexinfo->rel->pages) * spc_seq_page_cost;
+	}
+	else
+	{
+		/* Change some page cost from random to sequential */
+		costs.indexTotalCost -= 0.5 * costs.numIndexPages * (costs.spc_random_page_cost - spc_seq_page_cost);
 	}
 
-	*indexStartupCost = costs.indexStartupCost;
+	/*
+	 * If the list selectivity is lower than what is returned from the generic
+	 * cost estimator, use that.
+	 */
+	if (ratio < costs.indexSelectivity)
+		costs.indexSelectivity = ratio;
+
+	/* Use total cost since most work happens before first tuple is returned */
+	*indexStartupCost = costs.indexTotalCost;
 	*indexTotalCost = costs.indexTotalCost;
 	*indexSelectivity = costs.indexSelectivity;
 	*indexCorrelation = costs.indexCorrelation;

src/ivfutils.c

@@ -7,6 +7,7 @@
 #include "halfutils.h"
 #include "halfvec.h"
 #include "ivfflat.h"
+#include "minivec.h"
 #include "storage/bufmgr.h"
 
 /*
@@ -70,6 +71,9 @@ IvfflatOptionalProcInfo(Relation index, uint16 procnum)
 Datum
 IvfflatNormValue(const IvfflatTypeInfo * typeInfo, Oid collation, Datum value)
 {
+	if (!typeInfo->normalize)
+		return value;
+
 	return DirectFunctionCall1Coll(typeInfo->normalize, collation, value);
 }
 
@@ -231,6 +235,7 @@ IvfflatUpdateList(Relation index, ListInfo listInfo,
 
 PGDLLEXPORT Datum l2_normalize(PG_FUNCTION_ARGS);
 PGDLLEXPORT Datum halfvec_l2_normalize(PG_FUNCTION_ARGS);
+PGDLLEXPORT Datum minivec_l2_normalize(PG_FUNCTION_ARGS);
 PGDLLEXPORT Datum sparsevec_l2_normalize(PG_FUNCTION_ARGS);
 
 static Size
@@ -245,6 +250,12 @@ HalfvecItemSize(int dimensions)
 	return HALFVEC_SIZE(dimensions);
 }
 
+static Size
+MinivecItemSize(int dimensions)
+{
+	return MINIVEC_SIZE(dimensions);
+}
+
 static Size
 BitItemSize(int dimensions)
 {
@@ -275,6 +286,18 @@ HalfvecUpdateCenter(Pointer v, int dimensions, float *x)
 		vec->x[k] = Float4ToHalfUnchecked(x[k]);
 }
 
+static void
+MinivecUpdateCenter(Pointer v, int dimensions, float *x)
+{
+	MiniVector *vec = (MiniVector *) v;
+
+	SET_VARSIZE(vec, MINIVEC_SIZE(dimensions));
+	vec->dim = dimensions;
+
+	for (int k = 0; k < dimensions; k++)
+		vec->x[k] = Float4ToFp8Unchecked(x[k]);
+}
+
 static void
 BitUpdateCenter(Pointer v, int dimensions, float *x)
 {
@@ -309,6 +332,15 @@ HalfvecSumCenter(Pointer v, float *x)
 		x[k] += HalfToFloat4(vec->x[k]);
 }
 
+static void
+MinivecSumCenter(Pointer v, float *x)
+{
+	MiniVector *vec = (MiniVector *) v;
+
+	for (int k = 0; k < vec->dim; k++)
+		x[k] += Fp8ToFloat4(vec->x[k]);
+}
+
 static void
 BitSumCenter(Pointer v, float *x)
 {
@@ -357,6 +389,22 @@ ivfflat_halfvec_support(PG_FUNCTION_ARGS)
 	PG_RETURN_POINTER(&typeInfo);
 };
 
+FUNCTION_PREFIX PG_FUNCTION_INFO_V1(ivfflat_minivec_support);
+Datum
+ivfflat_minivec_support(PG_FUNCTION_ARGS)
+{
+	static const IvfflatTypeInfo typeInfo = {
+		.maxDimensions = IVFFLAT_MAX_DIM * 4,
+		/* Do not normalize to maximize precision */
+		.normalize = NULL,
+		.itemSize = MinivecItemSize,
+		.updateCenter = MinivecUpdateCenter,
+		.sumCenter = MinivecSumCenter
+	};
+
+	PG_RETURN_POINTER(&typeInfo);
+};
+
 FUNCTION_PREFIX PG_FUNCTION_INFO_V1(ivfflat_bit_support);
 Datum
 ivfflat_bit_support(PG_FUNCTION_ARGS)

src/minivec.h

@@ -0,0 +1,177 @@
+#ifndef MINIVEC_H
+#define MINIVEC_H
+
+#define MINIVEC_MAX_DIM 16000
+
+#define fp8 uint8
+
+#define MINIVEC_SIZE(_dim)		(offsetof(MiniVector, x) + sizeof(fp8)*(_dim))
+#define DatumGetMiniVector(x)		((MiniVector *) PG_DETOAST_DATUM(x))
+#define PG_GETARG_MINIVEC_P(x)	DatumGetMiniVector(PG_GETARG_DATUM(x))
+#define PG_RETURN_MINIVEC_P(x)	PG_RETURN_POINTER(x)
+
+typedef struct MiniVector
+{
+	int32		vl_len_;		/* varlena header (do not touch directly!) */
+	int16		dim;			/* number of dimensions */
+	int16		unused;			/* reserved for future use, always zero */
+	fp8			x[FLEXIBLE_ARRAY_MEMBER];
+}			MiniVector;
+
+MiniVector *InitMiniVector(int dim);
+
+/*
+ * Check if fp8 is NaN
+ */
+static inline bool
+Fp8IsNan(fp8 num)
+{
+	return (num & 0x7C) == 0x7C && (num & 0x7F) != 0x7C;
+}
+
+/*
+ * Check if fp8 is infinite
+ */
+static inline bool
+Fp8IsInf(fp8 num)
+{
+	return (num & 0x7F) == 0x7C;
+}
+
+/*
+ * Check if fp8 is zero
+ */
+static inline bool
+Fp8IsZero(fp8 num)
+{
+	return num == 0;
+}
+
+/*
+ * Convert a fp8 to a float4
+ */
+static inline float
+Fp8ToFloat4(fp8 num)
+{
+	/* Lookup table for non-sign bits */
+	/* Uses uint32 for correctness */
+	uint32		lookup[128] = {0, 931135488, 939524096, 943718400, 947912704, 950009856, 952107008, 954204160, 956301312, 958398464, 960495616, 962592768, 964689920, 966787072, 968884224, 970981376, 973078528, 975175680, 977272832, 979369984, 981467136, 983564288, 985661440, 987758592, 989855744, 991952896, 994050048, 996147200, 998244352, 1000341504, 1002438656, 1004535808, 1006632960, 1008730112, 1010827264, 1012924416, 1015021568, 1017118720, 1019215872, 1021313024, 1023410176, 1025507328, 1027604480, 1029701632, 1031798784, 1033895936, 1035993088, 1038090240, 1040187392, 1042284544, 1044381696, 1046478848, 1048576000, 1050673152, 1052770304, 1054867456, 1056964608, 1059061760, 1061158912, 1063256064, 1065353216, 1067450368, 1069547520, 1071644672, 1073741824, 1075838976, 1077936128, 1080033280, 1082130432, 1084227584, 1086324736, 1088421888, 1090519040, 1092616192, 1094713344, 1096810496, 1098907648, 1101004800, 1103101952, 1105199104, 1107296256, 1109393408, 1111490560, 1113587712, 1115684864, 1117782016, 1119879168, 1121976320, 1124073472, 1126170624, 1128267776, 1130364928, 1132462080, 1134559232, 1136656384, 1138753536, 1140850688, 1142947840, 1145044992, 1147142144, 1149239296, 1151336448, 1153433600, 1155530752, 1157627904, 1159725056, 1161822208, 1163919360, 1166016512, 1168113664, 1170210816, 1172307968, 1174405120, 1176502272, 1178599424, 1180696576, 1182793728, 1184890880, 1186988032, 1189085184, 1191182336, 1193279488, 1195376640, 1197473792, 2139095040, 2145386496, 2143289344, 2145386496};
+
+	union
+	{
+		float		f;
+		uint32		i;
+	}			swap;
+
+	swap.i = lookup[num & 0x7F];
+
+	return (num & 0x80) == 0x80 ? -swap.f : swap.f;
+}
+
+/*
+ * Convert a float4 to a fp8
+ */
+static inline fp8
+Float4ToFp8Unchecked(float num)
+{
+	union
+	{
+		float		f;
+		uint32		i;
+	}			swap;
+
+	uint32		bin;
+	int			exponent;
+	int			mantissa;
+	uint8		result;
+
+	swap.f = num;
+	bin = swap.i;
+	exponent = (bin & 0x7F800000) >> 23;
+	mantissa = bin & 0x007FFFFF;
+
+	/* Sign */
+	result = (bin & 0x80000000) >> 24;
+
+	if (isinf(num))
+	{
+		/* Infinite */
+		result |= 0x7C;
+	}
+	else if (isnan(num))
+	{
+		/* NaN */
+		result |= 0x7F;
+	}
+	else if (exponent > 98)
+	{
+		int			m;
+		int			gr;
+		int			s;
+
+		exponent -= 127;
+		s = mantissa & 0x000FFFFF;
+
+		/* Subnormal */
+		if (exponent < -14)
+		{
+			int			diff = -exponent - 14;
+
+			mantissa >>= diff;
+			mantissa += 1 << (23 - diff);
+			s |= mantissa & 0x000FFFFF;
+		}
+
+		m = mantissa >> 21;
+
+		/* Round */
+		gr = (mantissa >> 20) % 4;
+		if (gr == 3 || (gr == 1 && s != 0))
+			m += 1;
+
+		if (m == 4)
+		{
+			m = 0;
+			exponent += 1;
+		}
+
+		if (exponent > 15)
+		{
+			/* Infinite */
+			result |= 0x7C;
+		}
+		else
+		{
+			if (exponent >= -14)
+				result |= (exponent + 15) << 2;
+
+			result |= m;
+		}
+	}
+
+	return result;
+}
+
+/*
+ * Convert a float4 to a fp8
+ */
+static inline fp8
+Float4ToFp8(float num)
+{
+	fp8			result = Float4ToFp8Unchecked(num);
+
+	if (unlikely(Fp8IsInf(result)) && !isinf(num))
+	{
+		char	   *buf = palloc(FLOAT_SHORTEST_DECIMAL_LEN);
+
+		float_to_shortest_decimal_buf(num, buf);
+
+		ereport(ERROR,
+				(errcode(ERRCODE_NUMERIC_VALUE_OUT_OF_RANGE),
+				 errmsg("\"%s\" is out of range for type minivec", buf)));
+	}
+
+	return result;
+}
+
+#endif

src/vector.c

@@ -13,6 +13,7 @@
 #include "ivfflat.h"
 #include "lib/stringinfo.h"
 #include "libpq/pqformat.h"
+#include "minivec.h"
 #include "port.h"				/* for strtof() */
 #include "sparsevec.h"
 #include "utils/array.h"
@@ -542,6 +543,28 @@ halfvec_to_vector(PG_FUNCTION_ARGS)
 	PG_RETURN_POINTER(result);
 }
 
+/*
+ * Convert fp8 vector to vector
+ */
+FUNCTION_PREFIX PG_FUNCTION_INFO_V1(minivec_to_vector);
+Datum
+minivec_to_vector(PG_FUNCTION_ARGS)
+{
+	MiniVector *vec = PG_GETARG_MINIVEC_P(0);
+	int32		typmod = PG_GETARG_INT32(1);
+	Vector	   *result;
+
+	CheckDim(vec->dim);
+	CheckExpectedDim(typmod, vec->dim);
+
+	result = InitVector(vec->dim);
+
+	for (int i = 0; i < vec->dim; i++)
+		result->x[i] = Fp8ToFloat4(vec->x[i]);
+
+	PG_RETURN_POINTER(result);
+}
+
 VECTOR_TARGET_CLONES static float
 VectorL2SquaredDistance(int dim, float *ax, float *bx)
 {

test/expected/btree.out

@@ -38,6 +38,26 @@ SELECT * FROM t ORDER BY val;
  
 (4 rows)
 
+DROP TABLE t;
+-- minivec
+CREATE TABLE t (val minivec(3));
+INSERT INTO t (val) VALUES ('[0,0,0]'), ('[1,2,3]'), ('[1,1,1]'), (NULL);
+CREATE INDEX ON t (val);
+SELECT * FROM t WHERE val = '[1,2,3]';
+   val   
+---------
+ [1,2,3]
+(1 row)
+
+SELECT * FROM t ORDER BY val;
+   val   
+---------
+ [0,0,0]
+ [1,1,1]
+ [1,2,3]
+ 
+(4 rows)
+
 DROP TABLE t;
 -- sparsevec
 CREATE TABLE t (val sparsevec(3));

test/expected/cast.out

@@ -140,6 +140,64 @@ SELECT '{1e-8,-1e-8}'::real[]::halfvec;
  [0,-0]
 (1 row)
 
+SELECT '[1,2,3]'::vector::minivec;
+ minivec 
+---------
+ [1,2,3]
+(1 row)
+
+SELECT '[1,2,3]'::vector::minivec(3);
+ minivec 
+---------
+ [1,2,3]
+(1 row)
+
+SELECT '[1,2,3]'::vector::minivec(2);
+ERROR:  expected 2 dimensions, not 3
+SELECT '[61440]'::vector::minivec;
+ERROR:  "61440" is out of range for type minivec
+SELECT '[1e-8]'::vector::minivec;
+ minivec 
+---------
+ [0]
+(1 row)
+
+SELECT '[1,2,3]'::minivec::vector;
+ vector  
+---------
+ [1,2,3]
+(1 row)
+
+SELECT '[1,2,3]'::minivec::vector(3);
+ vector  
+---------
+ [1,2,3]
+(1 row)
+
+SELECT '[1,2,3]'::minivec::vector(2);
+ERROR:  expected 2 dimensions, not 3
+SELECT '{1,2,3}'::real[]::minivec;
+ minivec 
+---------
+ [1,2,3]
+(1 row)
+
+SELECT '{1,2,3}'::real[]::minivec(3);
+ minivec 
+---------
+ [1,2,3]
+(1 row)
+
+SELECT '{1,2,3}'::real[]::minivec(2);
+ERROR:  expected 2 dimensions, not 3
+SELECT '{61440,-61440}'::real[]::minivec;
+ERROR:  "61440" is out of range for type minivec
+SELECT '{1e-8,-1e-8}'::real[]::minivec;
+ minivec 
+---------
+ [0,-0]
+(1 row)
+
 SELECT '[0,1.5,0,3.5,0]'::vector::sparsevec;
     sparsevec    
 -----------------

test/expected/copy.out

@@ -30,6 +30,23 @@ SELECT * FROM t2 ORDER BY val;
  
 (4 rows)
 
+DROP TABLE t;
+DROP TABLE t2;
+-- minivec
+CREATE TABLE t (val minivec(3));
+INSERT INTO t (val) VALUES ('[0,0,0]'), ('[1,2,3]'), ('[1,1,1]'), (NULL);
+CREATE TABLE t2 (val minivec(3));
+\copy t TO 'results/minivec.bin' WITH (FORMAT binary)
+\copy t2 FROM 'results/minivec.bin' WITH (FORMAT binary)
+SELECT * FROM t2 ORDER BY val;
+   val   
+---------
+ [0,0,0]
+ [1,1,1]
+ [1,2,3]
+ 
+(4 rows)
+
 DROP TABLE t;
 DROP TABLE t2;
 -- sparsevec

test/expected/ivfflat_minivec.out

@@ -0,0 +1,84 @@
+SET enable_seqscan = off;
+-- L2
+CREATE TABLE t (val minivec(3));
+INSERT INTO t (val) VALUES ('[0,0,0]'), ('[1,2,3]'), ('[1,1,1]'), (NULL);
+CREATE INDEX ON t USING ivfflat (val minivec_l2_ops) WITH (lists = 1);
+INSERT INTO t (val) VALUES ('[1,2,4]');
+SELECT * FROM t ORDER BY val <-> '[3,3,3]';
+   val   
+---------
+ [1,2,3]
+ [1,2,4]
+ [1,1,1]
+ [0,0,0]
+(4 rows)
+
+SELECT COUNT(*) FROM (SELECT * FROM t ORDER BY val <-> (SELECT NULL::minivec)) t2;
+ count 
+-------
+     4
+(1 row)
+
+SELECT COUNT(*) FROM t;
+ count 
+-------
+     5
+(1 row)
+
+TRUNCATE t;
+NOTICE:  ivfflat index created with little data
+DETAIL:  This will cause low recall.
+HINT:  Drop the index until the table has more data.
+SELECT * FROM t ORDER BY val <-> '[3,3,3]';
+ val 
+-----
+(0 rows)
+
+DROP TABLE t;
+-- inner product
+CREATE TABLE t (val minivec(3));
+INSERT INTO t (val) VALUES ('[0,0,0]'), ('[1,2,3]'), ('[1,1,1]'), (NULL);
+CREATE INDEX ON t USING ivfflat (val minivec_ip_ops) WITH (lists = 1);
+INSERT INTO t (val) VALUES ('[1,2,4]');
+SELECT * FROM t ORDER BY val <#> '[3,3,3]';
+   val   
+---------
+ [1,2,4]
+ [1,2,3]
+ [1,1,1]
+ [0,0,0]
+(4 rows)
+
+SELECT COUNT(*) FROM (SELECT * FROM t ORDER BY val <#> (SELECT NULL::minivec)) t2;
+ count 
+-------
+     4
+(1 row)
+
+DROP TABLE t;
+-- cosine
+CREATE TABLE t (val minivec(3));
+INSERT INTO t (val) VALUES ('[0,0,0]'), ('[1,2,3]'), ('[1,1,1]'), (NULL);
+CREATE INDEX ON t USING ivfflat (val minivec_cosine_ops) WITH (lists = 1);
+INSERT INTO t (val) VALUES ('[1,2,4]');
+SELECT * FROM t ORDER BY val <=> '[3,3,3]';
+   val   
+---------
+ [1,1,1]
+ [1,2,3]
+ [1,2,4]
+(3 rows)
+
+SELECT COUNT(*) FROM (SELECT * FROM t ORDER BY val <=> '[0,0,0]') t2;
+ count 
+-------
+     3
+(1 row)
+
+SELECT COUNT(*) FROM (SELECT * FROM t ORDER BY val <=> (SELECT NULL::minivec)) t2;
+ count 
+-------
+     3
+(1 row)
+
+DROP TABLE t;

test/expected/minivec.out

@@ -0,0 +1,590 @@
+SELECT '[1,2,3]'::minivec;
+ minivec 
+---------
+ [1,2,3]
+(1 row)
+
+SELECT '[-1,-2,-3]'::minivec;
+  minivec   
+------------
+ [-1,-2,-3]
+(1 row)
+
+SELECT '[1.,2.,3.]'::minivec;
+ minivec 
+---------
+ [1,2,3]
+(1 row)
+
+SELECT ' [ 1,  2 ,    3  ] '::minivec;
+ minivec 
+---------
+ [1,2,3]
+(1 row)
+
+SELECT '[1.23456]'::minivec;
+ minivec 
+---------
+ [1.25]
+(1 row)
+
+SELECT '[hello,1]'::minivec;
+ERROR:  invalid input syntax for type minivec: "[hello,1]"
+LINE 1: SELECT '[hello,1]'::minivec;
+               ^
+SELECT '[NaN,1]'::minivec;
+ERROR:  NaN not allowed in minivec
+LINE 1: SELECT '[NaN,1]'::minivec;
+               ^
+SELECT '[Infinity,1]'::minivec;
+ERROR:  infinite value not allowed in minivec
+LINE 1: SELECT '[Infinity,1]'::minivec;
+               ^
+SELECT '[-Infinity,1]'::minivec;
+ERROR:  infinite value not allowed in minivec
+LINE 1: SELECT '[-Infinity,1]'::minivec;
+               ^
+SELECT '[61439,-61439]'::minivec;
+    minivec     
+----------------
+ [57344,-57344]
+(1 row)
+
+SELECT '[61440,-61440]'::minivec;
+ERROR:  "61440" is out of range for type minivec
+LINE 1: SELECT '[61440,-61440]'::minivec;
+               ^
+SELECT '[1e-8,-1e-8]'::minivec;
+ minivec 
+---------
+ [0,-0]
+(1 row)
+
+SELECT '[4e38,1]'::minivec;
+ERROR:  "4e38" is out of range for type minivec
+LINE 1: SELECT '[4e38,1]'::minivec;
+               ^
+SELECT '[1e-46,1]'::minivec;
+ minivec 
+---------
+ [0,1]
+(1 row)
+
+SELECT '[1,2,3'::minivec;
+ERROR:  invalid input syntax for type minivec: "[1,2,3"
+LINE 1: SELECT '[1,2,3'::minivec;
+               ^
+SELECT '[1,2,3]9'::minivec;
+ERROR:  invalid input syntax for type minivec: "[1,2,3]9"
+LINE 1: SELECT '[1,2,3]9'::minivec;
+               ^
+DETAIL:  Junk after closing right brace.
+SELECT '1,2,3'::minivec;
+ERROR:  invalid input syntax for type minivec: "1,2,3"
+LINE 1: SELECT '1,2,3'::minivec;
+               ^
+DETAIL:  Vector contents must start with "[".
+SELECT ''::minivec;
+ERROR:  invalid input syntax for type minivec: ""
+LINE 1: SELECT ''::minivec;
+               ^
+DETAIL:  Vector contents must start with "[".
+SELECT '['::minivec;
+ERROR:  invalid input syntax for type minivec: "["
+LINE 1: SELECT '['::minivec;
+               ^
+SELECT '[ '::minivec;
+ERROR:  invalid input syntax for type minivec: "[ "
+LINE 1: SELECT '[ '::minivec;
+               ^
+SELECT '[,'::minivec;
+ERROR:  invalid input syntax for type minivec: "[,"
+LINE 1: SELECT '[,'::minivec;
+               ^
+SELECT '[]'::minivec;
+ERROR:  minivec must have at least 1 dimension
+LINE 1: SELECT '[]'::minivec;
+               ^
+SELECT '[ ]'::minivec;
+ERROR:  minivec must have at least 1 dimension
+LINE 1: SELECT '[ ]'::minivec;
+               ^
+SELECT '[,]'::minivec;
+ERROR:  invalid input syntax for type minivec: "[,]"
+LINE 1: SELECT '[,]'::minivec;
+               ^
+SELECT '[1,]'::minivec;
+ERROR:  invalid input syntax for type minivec: "[1,]"
+LINE 1: SELECT '[1,]'::minivec;
+               ^
+SELECT '[1a]'::minivec;
+ERROR:  invalid input syntax for type minivec: "[1a]"
+LINE 1: SELECT '[1a]'::minivec;
+               ^
+SELECT '[1,,3]'::minivec;
+ERROR:  invalid input syntax for type minivec: "[1,,3]"
+LINE 1: SELECT '[1,,3]'::minivec;
+               ^
+SELECT '[1, ,3]'::minivec;
+ERROR:  invalid input syntax for type minivec: "[1, ,3]"
+LINE 1: SELECT '[1, ,3]'::minivec;
+               ^
+SELECT '[1,2,3]'::minivec(3);
+ minivec 
+---------
+ [1,2,3]
+(1 row)
+
+SELECT '[1,2,3]'::minivec(2);
+ERROR:  expected 2 dimensions, not 3
+SELECT '[1,2,3]'::minivec(3, 2);
+ERROR:  invalid type modifier
+LINE 1: SELECT '[1,2,3]'::minivec(3, 2);
+                          ^
+SELECT '[1,2,3]'::minivec('a');
+ERROR:  invalid input syntax for type integer: "a"
+LINE 1: SELECT '[1,2,3]'::minivec('a');
+                          ^
+SELECT '[1,2,3]'::minivec(0);
+ERROR:  dimensions for type minivec must be at least 1
+LINE 1: SELECT '[1,2,3]'::minivec(0);
+                          ^
+SELECT '[1,2,3]'::minivec(16001);
+ERROR:  dimensions for type minivec cannot exceed 16000
+LINE 1: SELECT '[1,2,3]'::minivec(16001);
+                          ^
+SELECT unnest('{"[1,2,3]", "[4,5,6]"}'::minivec[]);
+ unnest  
+---------
+ [1,2,3]
+ [4,5,6]
+(2 rows)
+
+SELECT '{"[1,2,3]"}'::minivec(2)[];
+ERROR:  expected 2 dimensions, not 3
+SELECT '[1,2,3]'::minivec + '[4,5,6]';
+ ?column? 
+----------
+ [5,7,8]
+(1 row)
+
+SELECT '[61439]'::minivec + '[61439]';
+ERROR:  value out of range: overflow
+SELECT '[1,2]'::minivec + '[3]';
+ERROR:  different minivec dimensions 2 and 1
+SELECT '[1,2,3]'::minivec - '[4,5,6]';
+ERROR:  value out of range: overflow
+SELECT '[-61439]'::minivec - '[61439]';
+ ?column? 
+----------
+ [-0]
+(1 row)
+
+SELECT '[1,2]'::minivec - '[3]';
+ERROR:  different minivec dimensions 2 and 1
+SELECT '[1,2,3]'::minivec * '[4,5,6]';
+ ?column?  
+-----------
+ [4,10,16]
+(1 row)
+
+SELECT '[61439]'::minivec * '[61439]';
+ERROR:  value out of range: overflow
+SELECT '[1e-7]'::minivec * '[1e-7]';
+ ?column? 
+----------
+ [0]
+(1 row)
+
+SELECT '[1,2]'::minivec * '[3]';
+ERROR:  different minivec dimensions 2 and 1
+SELECT '[1,2,3]'::minivec || '[4,5]';
+  ?column?   
+-------------
+ [1,2,3,4,5]
+(1 row)
+
+SELECT array_fill(0, ARRAY[16000])::minivec || '[1]';
+ERROR:  minivec cannot have more than 16000 dimensions
+SELECT '[1,2,3]'::minivec < '[1,2,3]';
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT '[1,2,3]'::minivec < '[1,2]';
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT '[1,2,3]'::minivec <= '[1,2,3]';
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT '[1,2,3]'::minivec <= '[1,2]';
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT '[1,2,3]'::minivec = '[1,2,3]';
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT '[1,2,3]'::minivec = '[1,2]';
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT '[1,2,3]'::minivec != '[1,2,3]';
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT '[1,2,3]'::minivec != '[1,2]';
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT '[1,2,3]'::minivec >= '[1,2,3]';
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT '[1,2,3]'::minivec >= '[1,2]';
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT '[1,2,3]'::minivec > '[1,2,3]';
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT '[1,2,3]'::minivec > '[1,2]';
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT minivec_cmp('[1,2,3]', '[1,2,3]');
+ minivec_cmp 
+-------------
+           0
+(1 row)
+
+SELECT minivec_cmp('[1,2,3]', '[0,0,0]');
+ minivec_cmp 
+-------------
+           1
+(1 row)
+
+SELECT minivec_cmp('[0,0,0]', '[1,2,3]');
+ minivec_cmp 
+-------------
+          -1
+(1 row)
+
+SELECT minivec_cmp('[1,2]', '[1,2,3]');
+ minivec_cmp 
+-------------
+          -1
+(1 row)
+
+SELECT minivec_cmp('[1,2,3]', '[1,2]');
+ minivec_cmp 
+-------------
+           1
+(1 row)
+
+SELECT minivec_cmp('[1,2]', '[2,3,4]');
+ minivec_cmp 
+-------------
+          -1
+(1 row)
+
+SELECT minivec_cmp('[2,3]', '[1,2,3]');
+ minivec_cmp 
+-------------
+           1
+(1 row)
+
+SELECT vector_dims('[1,2,3]'::minivec);
+ vector_dims 
+-------------
+           3
+(1 row)
+
+SELECT round(l2_norm('[1,1]'::minivec)::numeric, 5);
+  round  
+---------
+ 1.41421
+(1 row)
+
+SELECT l2_norm('[3,4]'::minivec);
+ l2_norm 
+---------
+       5
+(1 row)
+
+SELECT l2_norm('[0,1]'::minivec);
+ l2_norm 
+---------
+       1
+(1 row)
+
+SELECT l2_norm('[0,0]'::minivec);
+ l2_norm 
+---------
+       0
+(1 row)
+
+SELECT l2_norm('[2]'::minivec);
+ l2_norm 
+---------
+       2
+(1 row)
+
+SELECT l2_distance('[0,0]'::minivec, '[3,4]');
+ l2_distance 
+-------------
+           5
+(1 row)
+
+SELECT l2_distance('[0,0]'::minivec, '[0,1]');
+ l2_distance 
+-------------
+           1
+(1 row)
+
+SELECT l2_distance('[1,2]'::minivec, '[3]');
+ERROR:  different minivec dimensions 2 and 1
+SELECT l2_distance('[1,1,1,1,1,1,1,1,1]'::minivec, '[1,1,1,1,1,1,1,4,5]');
+ l2_distance 
+-------------
+           5
+(1 row)
+
+SELECT '[0,0]'::minivec <-> '[3,4]';
+ ?column? 
+----------
+        5
+(1 row)
+
+SELECT inner_product('[1,2]'::minivec, '[3,4]');
+ inner_product 
+---------------
+            11
+(1 row)
+
+SELECT inner_product('[1,2]'::minivec, '[3]');
+ERROR:  different minivec dimensions 2 and 1
+SELECT inner_product('[448]'::minivec, '[448]');
+ inner_product 
+---------------
+        200704
+(1 row)
+
+SELECT inner_product('[1,1,1,1,1,1,1,1,1]'::minivec, '[1,2,3,4,5,6,7,8,9]');
+ inner_product 
+---------------
+            44
+(1 row)
+
+SELECT '[1,2]'::minivec <#> '[3,4]';
+ ?column? 
+----------
+      -11
+(1 row)
+
+SELECT cosine_distance('[1,2]'::minivec, '[2,4]');
+ cosine_distance 
+-----------------
+               0
+(1 row)
+
+SELECT cosine_distance('[1,2]'::minivec, '[0,0]');
+ cosine_distance 
+-----------------
+             NaN
+(1 row)
+
+SELECT cosine_distance('[1,1]'::minivec, '[1,1]');
+ cosine_distance 
+-----------------
+               0
+(1 row)
+
+SELECT cosine_distance('[1,0]'::minivec, '[0,2]');
+ cosine_distance 
+-----------------
+               1
+(1 row)
+
+SELECT cosine_distance('[1,1]'::minivec, '[-1,-1]');
+ cosine_distance 
+-----------------
+               2
+(1 row)
+
+SELECT cosine_distance('[1,2]'::minivec, '[3]');
+ERROR:  different minivec dimensions 2 and 1
+SELECT cosine_distance('[1,1]'::minivec, '[1.1,1.1]');
+ cosine_distance 
+-----------------
+               0
+(1 row)
+
+SELECT cosine_distance('[1,1]'::minivec, '[-1.1,-1.1]');
+ cosine_distance 
+-----------------
+               2
+(1 row)
+
+SELECT cosine_distance('[1,2,3,4,5,6,7,8,9]'::minivec, '[1,2,3,4,5,6,7,8,9]');
+ cosine_distance 
+-----------------
+               0
+(1 row)
+
+SELECT cosine_distance('[1,2,3,4,5,6,7,8,9]'::minivec, '[-1,-2,-3,-4,-5,-6,-7,-8,-9]');
+ cosine_distance 
+-----------------
+               2
+(1 row)
+
+SELECT '[1,2]'::minivec <=> '[2,4]';
+ ?column? 
+----------
+        0
+(1 row)
+
+SELECT l1_distance('[0,0]'::minivec, '[3,4]');
+ l1_distance 
+-------------
+           7
+(1 row)
+
+SELECT l1_distance('[0,0]'::minivec, '[0,1]');
+ l1_distance 
+-------------
+           1
+(1 row)
+
+SELECT l1_distance('[1,2]'::minivec, '[3]');
+ERROR:  different minivec dimensions 2 and 1
+SELECT l1_distance('[1,2,3,4,5,6,7,8,9]'::minivec, '[1,2,3,4,5,6,7,8,9]');
+ l1_distance 
+-------------
+           0
+(1 row)
+
+SELECT l1_distance('[1,2,3,4,5,6,7,8,9]'::minivec, '[0,3,2,5,4,7,6,9,8]');
+ l1_distance 
+-------------
+           7
+(1 row)
+
+SELECT '[0,0]'::minivec <+> '[3,4]';
+ ?column? 
+----------
+        7
+(1 row)
+
+SELECT l2_normalize('[3,4]'::minivec);
+ l2_normalize 
+--------------
+ [0.625,0.75]
+(1 row)
+
+SELECT l2_normalize('[3,0]'::minivec);
+ l2_normalize 
+--------------
+ [1,0]
+(1 row)
+
+SELECT l2_normalize('[0,0.1]'::minivec);
+ l2_normalize 
+--------------
+ [0,1]
+(1 row)
+
+SELECT l2_normalize('[0,0]'::minivec);
+ l2_normalize 
+--------------
+ [0,0]
+(1 row)
+
+SELECT l2_normalize('[448]'::minivec);
+ l2_normalize 
+--------------
+ [1]
+(1 row)
+
+SELECT binary_quantize('[1,0,-1]'::minivec);
+ binary_quantize 
+-----------------
+ 100
+(1 row)
+
+SELECT binary_quantize('[0,0.1,-0.2,-0.3,0.4,0.5,0.6,-0.7,0.8,-0.9,1]'::minivec);
+ binary_quantize 
+-----------------
+ 01001110101
+(1 row)
+
+SELECT subvector('[1,2,3,4,5]'::minivec, 1, 3);
+ subvector 
+-----------
+ [1,2,3]
+(1 row)
+
+SELECT subvector('[1,2,3,4,5]'::minivec, 3, 2);
+ subvector 
+-----------
+ [3,4]
+(1 row)
+
+SELECT subvector('[1,2,3,4,5]'::minivec, -1, 3);
+ subvector 
+-----------
+ [1]
+(1 row)
+
+SELECT subvector('[1,2,3,4,5]'::minivec, 3, 9);
+ subvector 
+-----------
+ [3,4,5]
+(1 row)
+
+SELECT subvector('[1,2,3,4,5]'::minivec, 1, 0);
+ERROR:  minivec must have at least 1 dimension
+SELECT subvector('[1,2,3,4,5]'::minivec, 3, -1);
+ERROR:  minivec must have at least 1 dimension
+SELECT subvector('[1,2,3,4,5]'::minivec, -1, 2);
+ERROR:  minivec must have at least 1 dimension
+SELECT subvector('[1,2,3,4,5]'::minivec, 2147483647, 10);
+ERROR:  minivec must have at least 1 dimension
+SELECT subvector('[1,2,3,4,5]'::minivec, 3, 2147483647);
+ subvector 
+-----------
+ [3,4,5]
+(1 row)
+
+SELECT subvector('[1,2,3,4,5]'::minivec, -2147483644, 2147483647);
+ subvector 
+-----------
+ [1,2]
+(1 row)
+

test/sql/btree.sql

@@ -22,6 +22,17 @@ SELECT * FROM t ORDER BY val;
 
 DROP TABLE t;
 
+-- minivec
+
+CREATE TABLE t (val minivec(3));
+INSERT INTO t (val) VALUES ('[0,0,0]'), ('[1,2,3]'), ('[1,1,1]'), (NULL);
+CREATE INDEX ON t (val);
+
+SELECT * FROM t WHERE val = '[1,2,3]';
+SELECT * FROM t ORDER BY val;
+
+DROP TABLE t;
+
 -- sparsevec
 
 CREATE TABLE t (val sparsevec(3));

test/sql/cast.sql

@@ -38,6 +38,22 @@ SELECT '{1,2,3}'::real[]::halfvec(2);
 SELECT '{65520,-65520}'::real[]::halfvec;
 SELECT '{1e-8,-1e-8}'::real[]::halfvec;
 
+SELECT '[1,2,3]'::vector::minivec;
+SELECT '[1,2,3]'::vector::minivec(3);
+SELECT '[1,2,3]'::vector::minivec(2);
+SELECT '[61440]'::vector::minivec;
+SELECT '[1e-8]'::vector::minivec;
+
+SELECT '[1,2,3]'::minivec::vector;
+SELECT '[1,2,3]'::minivec::vector(3);
+SELECT '[1,2,3]'::minivec::vector(2);
+
+SELECT '{1,2,3}'::real[]::minivec;
+SELECT '{1,2,3}'::real[]::minivec(3);
+SELECT '{1,2,3}'::real[]::minivec(2);
+SELECT '{61440,-61440}'::real[]::minivec;
+SELECT '{1e-8,-1e-8}'::real[]::minivec;
+
 SELECT '[0,1.5,0,3.5,0]'::vector::sparsevec;
 SELECT '[0,1.5,0,3.5,0]'::vector::sparsevec(5);
 SELECT '[0,1.5,0,3.5,0]'::vector::sparsevec(4);

test/sql/copy.sql

@@ -28,6 +28,21 @@ SELECT * FROM t2 ORDER BY val;
 DROP TABLE t;
 DROP TABLE t2;
 
+-- minivec
+
+CREATE TABLE t (val minivec(3));
+INSERT INTO t (val) VALUES ('[0,0,0]'), ('[1,2,3]'), ('[1,1,1]'), (NULL);
+
+CREATE TABLE t2 (val minivec(3));
+
+\copy t TO 'results/minivec.bin' WITH (FORMAT binary)
+\copy t2 FROM 'results/minivec.bin' WITH (FORMAT binary)
+
+SELECT * FROM t2 ORDER BY val;
+
+DROP TABLE t;
+DROP TABLE t2;
+
 -- sparsevec
 
 CREATE TABLE t (val sparsevec(3));

test/sql/ivfflat_minivec.sql

@@ -0,0 +1,45 @@
+SET enable_seqscan = off;
+
+-- L2
+
+CREATE TABLE t (val minivec(3));
+INSERT INTO t (val) VALUES ('[0,0,0]'), ('[1,2,3]'), ('[1,1,1]'), (NULL);
+CREATE INDEX ON t USING ivfflat (val minivec_l2_ops) WITH (lists = 1);
+
+INSERT INTO t (val) VALUES ('[1,2,4]');
+
+SELECT * FROM t ORDER BY val <-> '[3,3,3]';
+SELECT COUNT(*) FROM (SELECT * FROM t ORDER BY val <-> (SELECT NULL::minivec)) t2;
+SELECT COUNT(*) FROM t;
+
+TRUNCATE t;
+SELECT * FROM t ORDER BY val <-> '[3,3,3]';
+
+DROP TABLE t;
+
+-- inner product
+
+CREATE TABLE t (val minivec(3));
+INSERT INTO t (val) VALUES ('[0,0,0]'), ('[1,2,3]'), ('[1,1,1]'), (NULL);
+CREATE INDEX ON t USING ivfflat (val minivec_ip_ops) WITH (lists = 1);
+
+INSERT INTO t (val) VALUES ('[1,2,4]');
+
+SELECT * FROM t ORDER BY val <#> '[3,3,3]';
+SELECT COUNT(*) FROM (SELECT * FROM t ORDER BY val <#> (SELECT NULL::minivec)) t2;
+
+DROP TABLE t;
+
+-- cosine
+
+CREATE TABLE t (val minivec(3));
+INSERT INTO t (val) VALUES ('[0,0,0]'), ('[1,2,3]'), ('[1,1,1]'), (NULL);
+CREATE INDEX ON t USING ivfflat (val minivec_cosine_ops) WITH (lists = 1);
+
+INSERT INTO t (val) VALUES ('[1,2,4]');
+
+SELECT * FROM t ORDER BY val <=> '[3,3,3]';
+SELECT COUNT(*) FROM (SELECT * FROM t ORDER BY val <=> '[0,0,0]') t2;
+SELECT COUNT(*) FROM (SELECT * FROM t ORDER BY val <=> (SELECT NULL::minivec)) t2;
+
+DROP TABLE t;

test/sql/minivec.sql

@@ -0,0 +1,134 @@
+SELECT '[1,2,3]'::minivec;
+SELECT '[-1,-2,-3]'::minivec;
+SELECT '[1.,2.,3.]'::minivec;
+SELECT ' [ 1,  2 ,    3  ] '::minivec;
+SELECT '[1.23456]'::minivec;
+SELECT '[hello,1]'::minivec;
+SELECT '[NaN,1]'::minivec;
+SELECT '[Infinity,1]'::minivec;
+SELECT '[-Infinity,1]'::minivec;
+SELECT '[61439,-61439]'::minivec;
+SELECT '[61440,-61440]'::minivec;
+SELECT '[1e-8,-1e-8]'::minivec;
+SELECT '[4e38,1]'::minivec;
+SELECT '[1e-46,1]'::minivec;
+SELECT '[1,2,3'::minivec;
+SELECT '[1,2,3]9'::minivec;
+SELECT '1,2,3'::minivec;
+SELECT ''::minivec;
+SELECT '['::minivec;
+SELECT '[ '::minivec;
+SELECT '[,'::minivec;
+SELECT '[]'::minivec;
+SELECT '[ ]'::minivec;
+SELECT '[,]'::minivec;
+SELECT '[1,]'::minivec;
+SELECT '[1a]'::minivec;
+SELECT '[1,,3]'::minivec;
+SELECT '[1, ,3]'::minivec;
+
+SELECT '[1,2,3]'::minivec(3);
+SELECT '[1,2,3]'::minivec(2);
+SELECT '[1,2,3]'::minivec(3, 2);
+SELECT '[1,2,3]'::minivec('a');
+SELECT '[1,2,3]'::minivec(0);
+SELECT '[1,2,3]'::minivec(16001);
+
+SELECT unnest('{"[1,2,3]", "[4,5,6]"}'::minivec[]);
+SELECT '{"[1,2,3]"}'::minivec(2)[];
+
+SELECT '[1,2,3]'::minivec + '[4,5,6]';
+SELECT '[61439]'::minivec + '[61439]';
+SELECT '[1,2]'::minivec + '[3]';
+
+SELECT '[1,2,3]'::minivec - '[4,5,6]';
+SELECT '[-61439]'::minivec - '[61439]';
+SELECT '[1,2]'::minivec - '[3]';
+
+SELECT '[1,2,3]'::minivec * '[4,5,6]';
+SELECT '[61439]'::minivec * '[61439]';
+SELECT '[1e-7]'::minivec * '[1e-7]';
+SELECT '[1,2]'::minivec * '[3]';
+
+SELECT '[1,2,3]'::minivec || '[4,5]';
+SELECT array_fill(0, ARRAY[16000])::minivec || '[1]';
+
+SELECT '[1,2,3]'::minivec < '[1,2,3]';
+SELECT '[1,2,3]'::minivec < '[1,2]';
+SELECT '[1,2,3]'::minivec <= '[1,2,3]';
+SELECT '[1,2,3]'::minivec <= '[1,2]';
+SELECT '[1,2,3]'::minivec = '[1,2,3]';
+SELECT '[1,2,3]'::minivec = '[1,2]';
+SELECT '[1,2,3]'::minivec != '[1,2,3]';
+SELECT '[1,2,3]'::minivec != '[1,2]';
+SELECT '[1,2,3]'::minivec >= '[1,2,3]';
+SELECT '[1,2,3]'::minivec >= '[1,2]';
+SELECT '[1,2,3]'::minivec > '[1,2,3]';
+SELECT '[1,2,3]'::minivec > '[1,2]';
+
+SELECT minivec_cmp('[1,2,3]', '[1,2,3]');
+SELECT minivec_cmp('[1,2,3]', '[0,0,0]');
+SELECT minivec_cmp('[0,0,0]', '[1,2,3]');
+SELECT minivec_cmp('[1,2]', '[1,2,3]');
+SELECT minivec_cmp('[1,2,3]', '[1,2]');
+SELECT minivec_cmp('[1,2]', '[2,3,4]');
+SELECT minivec_cmp('[2,3]', '[1,2,3]');
+
+SELECT vector_dims('[1,2,3]'::minivec);
+
+SELECT round(l2_norm('[1,1]'::minivec)::numeric, 5);
+SELECT l2_norm('[3,4]'::minivec);
+SELECT l2_norm('[0,1]'::minivec);
+SELECT l2_norm('[0,0]'::minivec);
+SELECT l2_norm('[2]'::minivec);
+
+SELECT l2_distance('[0,0]'::minivec, '[3,4]');
+SELECT l2_distance('[0,0]'::minivec, '[0,1]');
+SELECT l2_distance('[1,2]'::minivec, '[3]');
+SELECT l2_distance('[1,1,1,1,1,1,1,1,1]'::minivec, '[1,1,1,1,1,1,1,4,5]');
+SELECT '[0,0]'::minivec <-> '[3,4]';
+
+SELECT inner_product('[1,2]'::minivec, '[3,4]');
+SELECT inner_product('[1,2]'::minivec, '[3]');
+SELECT inner_product('[448]'::minivec, '[448]');
+SELECT inner_product('[1,1,1,1,1,1,1,1,1]'::minivec, '[1,2,3,4,5,6,7,8,9]');
+SELECT '[1,2]'::minivec <#> '[3,4]';
+
+SELECT cosine_distance('[1,2]'::minivec, '[2,4]');
+SELECT cosine_distance('[1,2]'::minivec, '[0,0]');
+SELECT cosine_distance('[1,1]'::minivec, '[1,1]');
+SELECT cosine_distance('[1,0]'::minivec, '[0,2]');
+SELECT cosine_distance('[1,1]'::minivec, '[-1,-1]');
+SELECT cosine_distance('[1,2]'::minivec, '[3]');
+SELECT cosine_distance('[1,1]'::minivec, '[1.1,1.1]');
+SELECT cosine_distance('[1,1]'::minivec, '[-1.1,-1.1]');
+SELECT cosine_distance('[1,2,3,4,5,6,7,8,9]'::minivec, '[1,2,3,4,5,6,7,8,9]');
+SELECT cosine_distance('[1,2,3,4,5,6,7,8,9]'::minivec, '[-1,-2,-3,-4,-5,-6,-7,-8,-9]');
+SELECT '[1,2]'::minivec <=> '[2,4]';
+
+SELECT l1_distance('[0,0]'::minivec, '[3,4]');
+SELECT l1_distance('[0,0]'::minivec, '[0,1]');
+SELECT l1_distance('[1,2]'::minivec, '[3]');
+SELECT l1_distance('[1,2,3,4,5,6,7,8,9]'::minivec, '[1,2,3,4,5,6,7,8,9]');
+SELECT l1_distance('[1,2,3,4,5,6,7,8,9]'::minivec, '[0,3,2,5,4,7,6,9,8]');
+SELECT '[0,0]'::minivec <+> '[3,4]';
+
+SELECT l2_normalize('[3,4]'::minivec);
+SELECT l2_normalize('[3,0]'::minivec);
+SELECT l2_normalize('[0,0.1]'::minivec);
+SELECT l2_normalize('[0,0]'::minivec);
+SELECT l2_normalize('[448]'::minivec);
+
+SELECT binary_quantize('[1,0,-1]'::minivec);
+SELECT binary_quantize('[0,0.1,-0.2,-0.3,0.4,0.5,0.6,-0.7,0.8,-0.9,1]'::minivec);
+
+SELECT subvector('[1,2,3,4,5]'::minivec, 1, 3);
+SELECT subvector('[1,2,3,4,5]'::minivec, 3, 2);
+SELECT subvector('[1,2,3,4,5]'::minivec, -1, 3);
+SELECT subvector('[1,2,3,4,5]'::minivec, 3, 9);
+SELECT subvector('[1,2,3,4,5]'::minivec, 1, 0);
+SELECT subvector('[1,2,3,4,5]'::minivec, 3, -1);
+SELECT subvector('[1,2,3,4,5]'::minivec, -1, 2);
+SELECT subvector('[1,2,3,4,5]'::minivec, 2147483647, 10);
+SELECT subvector('[1,2,3,4,5]'::minivec, 3, 2147483647);
+SELECT subvector('[1,2,3,4,5]'::minivec, -2147483644, 2147483647);

test/t/009_ivfflat_filtering.pl

@@ -94,7 +94,8 @@ like($explain, qr/Seq Scan/);
 $explain = $node->safe_psql("postgres", qq(
 	EXPLAIN ANALYZE SELECT i FROM tst WHERE v <-> '$query' < 1 ORDER BY v <-> '$query';
 ));
-like($explain, qr/Seq Scan/);
+# TODO Do not use index
+like($explain, qr/Index Scan using idx/);
 
 # Test attribute index
 $node->safe_psql("postgres", "CREATE INDEX attribute_idx ON tst (c);");
@@ -109,6 +110,7 @@ $node->safe_psql("postgres", "CREATE INDEX partial_idx ON tst USING ivfflat (v v
 $explain = $node->safe_psql("postgres", qq(
 	EXPLAIN ANALYZE SELECT i FROM tst WHERE c = $c ORDER BY v <-> '$query' LIMIT $limit;
 ));
-like($explain, qr/Index Scan using partial_idx/);
+# TODO Use partial index
+like($explain, qr/Index Scan using idx/);
 
 done_testing();

test/t/017_hnsw_filtering.pl

@@ -18,13 +18,9 @@ $node->start;
 # Create table and index
 $node->safe_psql("postgres", "CREATE EXTENSION vector;");
 $node->safe_psql("postgres", "CREATE TABLE tst (i int4, v vector($dim), c int4, t text);");
-$node->safe_psql("postgres", "CREATE TABLE cat (i int4 PRIMARY KEY, t text, b boolean);");
 $node->safe_psql("postgres",
 	"INSERT INTO tst SELECT i, ARRAY[$array_sql], i % $nc, 'test ' || i FROM generate_series(1, 10000) i;"
 );
-$node->safe_psql("postgres",
-	"INSERT INTO cat SELECT i, 'cat ' || i, i % 5 = 0 FROM generate_series(1, $nc) i;"
-);
 $node->safe_psql("postgres", "CREATE INDEX idx ON tst USING hnsw (v vector_l2_ops);");
 $node->safe_psql("postgres", "ANALYZE tst;");
 
@@ -41,7 +37,8 @@ my $c = int(rand() * $nc);
 my $explain = $node->safe_psql("postgres", qq(
 	EXPLAIN ANALYZE SELECT i FROM tst WHERE c = $c ORDER BY v <-> '$query' LIMIT $limit;
 ));
-like($explain, qr/Seq Scan/);
+# TODO Do not use index
+like($explain, qr/Index Scan using idx/);
 
 # Test attribute filtering with few rows removed
 $explain = $node->safe_psql("postgres", qq(
@@ -59,7 +56,8 @@ like($explain, qr/Index Scan using idx/);
 $explain = $node->safe_psql("postgres", qq(
 	EXPLAIN ANALYZE SELECT i FROM tst WHERE c < 1 ORDER BY v <-> '$query' LIMIT $limit;
 ));
-like($explain, qr/Seq Scan/);
+# TODO Do not use index
+like($explain, qr/Index Scan using idx/);
 
 # Test attribute filtering with few rows removed like
 $explain = $node->safe_psql("postgres", qq(
@@ -98,25 +96,13 @@ $explain = $node->safe_psql("postgres", qq(
 ));
 like($explain, qr/Seq Scan/);
 
-# Test join
-$explain = $node->safe_psql("postgres", qq(
-	EXPLAIN ANALYZE SELECT cat.t FROM cat INNER JOIN tst ON cat.i = tst.c ORDER BY v <-> '$query' LIMIT $limit;
-));
-like($explain, qr/Index Scan using idx/);
-
-# Test join with attribute filtering
-$explain = $node->safe_psql("postgres", qq(
-	EXPLAIN ANALYZE SELECT cat.t FROM cat INNER JOIN tst ON cat.i = tst.c WHERE cat.b = 't' ORDER BY v <-> '$query' LIMIT $limit;
-));
-like($explain, qr/Index Scan using idx/);
-
 # Test attribute index
 $node->safe_psql("postgres", "CREATE INDEX attribute_idx ON tst (c);");
 $explain = $node->safe_psql("postgres", qq(
 	EXPLAIN ANALYZE SELECT i FROM tst WHERE c = $c ORDER BY v <-> '$query' LIMIT $limit;
 ));
-# Use attribute index
+# TODO Use attribute index
-like($explain, qr/Bitmap Index Scan on attribute_idx/);
+like($explain, qr/Index Scan using idx/);
 
 # Test partial index
 $node->safe_psql("postgres", "CREATE INDEX partial_idx ON tst USING hnsw (v vector_l2_ops) WHERE (c = $c);");

test/t/033_comparison.pl

@@ -40,6 +40,10 @@ for (1 .. 50)
 	$actual = $node->safe_psql("postgres", "SELECT halfvec_cmp(v::halfvec, '$query'::real[]::halfvec) FROM tst");
 	is($expected, $actual);
 
+	# Test minivec
+	$actual = $node->safe_psql("postgres", "SELECT minivec_cmp(v::minivec, '$query'::real[]::minivec) FROM tst");
+	is($expected, $actual);
+
 	# Test sparsevec
 	$actual = $node->safe_psql("postgres", "SELECT sparsevec_cmp(v::vector::sparsevec, '$query'::real[]::vector::sparsevec) FROM tst");
 	is($expected, $actual);

test/t/034_distance_functions.pl

@@ -45,6 +45,10 @@ for my $function (@functions)
 		my $actual = $node->safe_psql("postgres", "SELECT $function(v::halfvec, '$query'::vector::halfvec) FROM tst");
 		is($expected, $actual, "halfvec $function");
 
+		# Test minivec
+		$actual = $node->safe_psql("postgres", "SELECT $function(v::minivec, '$query'::vector::minivec) FROM tst");
+		is($expected, $actual, "minivec $function");
+
 		# Test sparsevec
 		$actual = $node->safe_psql("postgres", "SELECT $function(v::sparsevec, '$query'::vector::sparsevec) FROM tst");
 		is($expected, $actual, "sparsevec $function");

test/t/037_inputs.pl

@@ -12,8 +12,8 @@ $node->start;
 # Create extension
 $node->safe_psql("postgres", "CREATE EXTENSION vector;");
 
-my @types = ("vector", "halfvec", "sparsevec");
+my @types = ("vector", "halfvec", "minivec", "sparsevec");
-my @inputs = ("[1.23,4.56,7.89]", "[1.23,4.56,7.89]", "{1:1.23,2:4.56,3:7.89}/3");
+my @inputs = ("[1.23,4.56,7.89]", "[1.23,4.56,7.89]", "[1.23,4.56,7.89]", "{1:1.23,2:4.56,3:7.89}/3");
 my @subs = (" ", " ", ",", ":", "-", "1", "9", "\0", "2147483648", "-2147483649");
 
 for my $i (0 .. $#types)

test/t/039_hnsw_cost.pl

@@ -1,60 +0,0 @@
-use strict;
-use warnings FATAL => 'all';
-use PostgreSQL::Test::Cluster;
-use PostgreSQL::Test::Utils;
-use Test::More;
-
-my @dims = (384, 1536);
-my $limit = 10;
-
-# Initialize node
-my $node = PostgreSQL::Test::Cluster->new('node');
-$node->init;
-$node->start;
-
-$node->safe_psql("postgres", "CREATE EXTENSION vector;");
-
-for my $dim (@dims)
-{
-	my $array_sql = join(",", ('random()') x $dim);
-
-	# Create table and index
-	$node->safe_psql("postgres", "CREATE TABLE tst (i int4, v vector($dim));");
-	$node->safe_psql("postgres",
-		"INSERT INTO tst SELECT i, ARRAY[$array_sql] FROM generate_series(1, 2000) i;"
-	);
-	$node->safe_psql("postgres", "CREATE INDEX idx ON tst USING hnsw (v vector_l2_ops);");
-	$node->safe_psql("postgres", "ANALYZE tst;");
-
-	# Generate query
-	my @r = ();
-	for (1 .. $dim)
-	{
-		push(@r, rand());
-	}
-	my $query = "[" . join(",", @r) . "]";
-
-	my $explain = $node->safe_psql("postgres", qq(
-		EXPLAIN ANALYZE SELECT i FROM tst ORDER BY v <-> '$query' LIMIT $limit;
-	));
-	like($explain, qr/Index Scan using idx/);
-
-	# 3x the rows are needed for distance filters
-	# since the planner uses DEFAULT_INEQ_SEL for the selectivity (should be 1)
-	# Recreate index for performance
-	$node->safe_psql("postgres", "DROP INDEX idx;");
-	$node->safe_psql("postgres",
-		"INSERT INTO tst SELECT i, ARRAY[$array_sql] FROM generate_series(2001, 6000) i;"
-	);
-	$node->safe_psql("postgres", "CREATE INDEX idx ON tst USING hnsw (v vector_l2_ops);");
-	$node->safe_psql("postgres", "ANALYZE tst;");
-
-	$explain = $node->safe_psql("postgres", qq(
-		EXPLAIN ANALYZE SELECT i FROM tst WHERE v <-> '$query' < 1 ORDER BY v <-> '$query' LIMIT $limit;
-	));
-	like($explain, qr/Index Scan using idx/);
-
-	$node->safe_psql("postgres", "DROP TABLE tst;");
-}
-
-done_testing();

test/t/039_hnsw_minivec_build_recall.pl

@@ -0,0 +1,132 @@
+use strict;
+use warnings FATAL => 'all';
+use PostgreSQL::Test::Cluster;
+use PostgreSQL::Test::Utils;
+use Test::More;
+
+my $node;
+my @queries = ();
+my @expected;
+my $limit = 20;
+my $dim = 10;
+my $array_sql = join(",", ('2 * random() * random()') x $dim);
+
+sub test_recall
+{
+	my ($min, $operator) = @_;
+	my $correct = 0;
+	my $total = 0;
+
+	my $explain = $node->safe_psql("postgres", qq(
+		SET enable_seqscan = off;
+		EXPLAIN ANALYZE SELECT i FROM tst ORDER BY v $operator '$queries[0]' LIMIT $limit;
+	));
+	like($explain, qr/Index Scan/);
+
+	for my $i (0 .. $#queries)
+	{
+		my $actual = $node->safe_psql("postgres", qq(
+			SET enable_seqscan = off;
+			SELECT i FROM tst ORDER BY v $operator '$queries[$i]' LIMIT $limit;
+		));
+		my @actual_ids = split("\n", $actual);
+		my %actual_set = map { $_ => 1 } @actual_ids;
+
+		my @expected_ids = split("\n", $expected[$i]);
+
+		foreach (@expected_ids)
+		{
+			if (exists($actual_set{$_}))
+			{
+				$correct++;
+			}
+			$total++;
+		}
+	}
+
+	cmp_ok($correct / $total, ">=", $min, $operator);
+}
+
+# Initialize node
+$node = PostgreSQL::Test::Cluster->new('node');
+$node->init;
+$node->start;
+
+# Create table
+$node->safe_psql("postgres", "CREATE EXTENSION vector;");
+$node->safe_psql("postgres", "CREATE TABLE tst (i int4, v minivec($dim));");
+$node->safe_psql("postgres",
+	"INSERT INTO tst SELECT i, ARRAY[$array_sql] FROM generate_series(1, 10000) i;"
+);
+
+# Generate queries
+for (1 .. 20)
+{
+	my @r = ();
+	for (1 .. $dim)
+	{
+		push(@r, rand());
+	}
+	push(@queries, "[" . join(",", @r) . "]");
+}
+
+# Check each index type
+my @operators = ("<->", "<#>", "<=>", "<+>");
+my @opclasses = ("minivec_l2_ops", "minivec_ip_ops", "minivec_cosine_ops", "minivec_l1_ops");
+
+for my $i (0 .. $#operators)
+{
+	my $operator = $operators[$i];
+	my $opclass = $opclasses[$i];
+
+	# Get exact results
+	@expected = ();
+	foreach (@queries)
+	{
+		my $res = $node->safe_psql("postgres", "SELECT i FROM tst ORDER BY v $operator '$_' LIMIT $limit;");
+		push(@expected, $res);
+	}
+
+	# Build index serially
+	$node->safe_psql("postgres", qq(
+		SET max_parallel_maintenance_workers = 0;
+		CREATE INDEX idx ON tst USING hnsw (v $opclass);
+	));
+
+	# Test approximate results
+	my $min = 0.98;
+	test_recall($min, $operator);
+
+	$node->safe_psql("postgres", "DROP INDEX idx;");
+
+	# Build index in parallel in memory
+	my ($ret, $stdout, $stderr) = $node->psql("postgres", qq(
+		SET client_min_messages = DEBUG;
+		SET min_parallel_table_scan_size = 1;
+		CREATE INDEX idx ON tst USING hnsw (v $opclass);
+	));
+	is($ret, 0, $stderr);
+	like($stderr, qr/using \d+ parallel workers/);
+
+	# Test approximate results
+	test_recall($min, $operator);
+
+	$node->safe_psql("postgres", "DROP INDEX idx;");
+
+	# Build index in parallel on disk
+	# Set parallel_workers on table to use workers with low maintenance_work_mem
+	($ret, $stdout, $stderr) = $node->psql("postgres", qq(
+		ALTER TABLE tst SET (parallel_workers = 2);
+		SET client_min_messages = DEBUG;
+		SET maintenance_work_mem = '4MB';
+		CREATE INDEX idx ON tst USING hnsw (v $opclass);
+		ALTER TABLE tst RESET (parallel_workers);
+	));
+	is($ret, 0, $stderr);
+	like($stderr, qr/using \d+ parallel workers/);
+	like($stderr, qr/hnsw graph no longer fits into maintenance_work_mem/);
+
+	$node->safe_psql("postgres", "DROP INDEX idx;");
+}
+
+done_testing();

test/t/040_hnsw_minivec_insert_recall.pl

@@ -0,0 +1,113 @@
+use strict;
+use warnings FATAL => 'all';
+use PostgreSQL::Test::Cluster;
+use PostgreSQL::Test::Utils;
+use Test::More;
+
+my $node;
+my @queries = ();
+my @expected;
+my $limit = 20;
+my $dim = 10;
+my $array_sql = join(",", ('2 * random() * random()') x $dim);
+
+sub test_recall
+{
+	my ($min, $operator) = @_;
+	my $correct = 0;
+	my $total = 0;
+
+	my $explain = $node->safe_psql("postgres", qq(
+		SET enable_seqscan = off;
+		EXPLAIN ANALYZE SELECT i FROM tst ORDER BY v $operator '$queries[0]' LIMIT $limit;
+	));
+	like($explain, qr/Index Scan/);
+
+	for my $i (0 .. $#queries)
+	{
+		my $actual = $node->safe_psql("postgres", qq(
+			SET enable_seqscan = off;
+			SELECT i FROM tst ORDER BY v $operator '$queries[$i]' LIMIT $limit;
+		));
+		my @actual_ids = split("\n", $actual);
+		my %actual_set = map { $_ => 1 } @actual_ids;
+
+		my @expected_ids = split("\n", $expected[$i]);
+
+		foreach (@expected_ids)
+		{
+			if (exists($actual_set{$_}))
+			{
+				$correct++;
+			}
+			$total++;
+		}
+	}
+
+	cmp_ok($correct / $total, ">=", $min, $operator);
+}
+
+# Initialize node
+$node = PostgreSQL::Test::Cluster->new('node');
+$node->init;
+$node->start;
+
+# Create table
+$node->safe_psql("postgres", "CREATE EXTENSION vector;");
+$node->safe_psql("postgres", "CREATE TABLE tst (i serial, v minivec($dim));");
+
+# Generate queries
+for (1 .. 20)
+{
+	my @r = ();
+	for (1 .. $dim)
+	{
+		push(@r, rand());
+	}
+	push(@queries, "[" . join(",", @r) . "]");
+}
+
+# Check each index type
+my @operators = ("<->", "<#>", "<=>", "<+>");
+my @opclasses = ("minivec_l2_ops", "minivec_ip_ops", "minivec_cosine_ops", "minivec_l1_ops");
+
+for my $i (0 .. $#operators)
+{
+	my $operator = $operators[$i];
+	my $opclass = $opclasses[$i];
+
+	# Add index
+	$node->safe_psql("postgres", "CREATE INDEX idx ON tst USING hnsw (v $opclass);");
+
+	# Use concurrent inserts
+	$node->pgbench(
+		"--no-vacuum --client=10 --transactions=1000",
+		0,
+		[qr{actually processed}],
+		[qr{^$}],
+		"concurrent INSERTs",
+		{
+			"040_hnsw_minivec_insert_recall_$opclass" => "INSERT INTO tst (v) VALUES (ARRAY[$array_sql]);"
+		}
+	);
+
+	# Get exact results
+	@expected = ();
+	foreach (@queries)
+	{
+		my $res = $node->safe_psql("postgres", qq(
+			SET enable_indexscan = off;
+			SELECT i FROM tst ORDER BY v $operator '$_' LIMIT $limit;
+		));
+		push(@expected, $res);
+	}
+
+	# Test approximate results
+	my $min = 0.98;
+	test_recall($min, $operator);
+
+	$node->safe_psql("postgres", "DROP INDEX idx;");
+	$node->safe_psql("postgres", "TRUNCATE tst;");
+}
+
+done_testing();

test/t/040_ivfflat_cost.pl

@@ -1,50 +0,0 @@
-use strict;
-use warnings FATAL => 'all';
-use PostgreSQL::Test::Cluster;
-use PostgreSQL::Test::Utils;
-use Test::More;
-
-my @dims = (384, 1536);
-my $limit = 10;
-
-# Initialize node
-my $node = PostgreSQL::Test::Cluster->new('node');
-$node->init;
-$node->start;
-
-$node->safe_psql("postgres", "CREATE EXTENSION vector;");
-
-for my $dim (@dims)
-{
-	my $array_sql = join(",", ('random()') x $dim);
-
-	# Create table and index
-	$node->safe_psql("postgres", "CREATE TABLE tst (i int4, v vector($dim));");
-	$node->safe_psql("postgres",
-		"INSERT INTO tst SELECT i, ARRAY[$array_sql] FROM generate_series(1, 5000) i;"
-	);
-	$node->safe_psql("postgres", "CREATE INDEX idx ON tst USING ivfflat (v vector_l2_ops) WITH (lists = 5);");
-	$node->safe_psql("postgres", "ANALYZE tst;");
-
-	# Generate query
-	my @r = ();
-	for (1 .. $dim)
-	{
-		push(@r, rand());
-	}
-	my $query = "[" . join(",", @r) . "]";
-
-	my $explain = $node->safe_psql("postgres", qq(
-		EXPLAIN ANALYZE SELECT i FROM tst ORDER BY v <-> '$query' LIMIT $limit;
-	));
-	like($explain, qr/Index Scan using idx/);
-
-	$explain = $node->safe_psql("postgres", qq(
-		EXPLAIN ANALYZE SELECT i FROM tst WHERE v <-> '$query' < 1 ORDER BY v <-> '$query' LIMIT $limit;
-	));
-	like($explain, qr/Index Scan using idx/);
-
-	$node->safe_psql("postgres", "DROP TABLE tst;");
-}
-
-done_testing();

test/t/041_hnsw_minivec_vacuum_recall.pl

@@ -0,0 +1,97 @@
+use strict;
+use warnings FATAL => 'all';
+use PostgreSQL::Test::Cluster;
+use PostgreSQL::Test::Utils;
+use Test::More;
+
+my $node;
+my @queries = ();
+my @expected;
+my $limit = 20;
+
+sub test_recall
+{
+	my ($min, $ef_search, $test_name) = @_;
+	my $correct = 0;
+	my $total = 0;
+
+	my $explain = $node->safe_psql("postgres", qq(
+		SET enable_seqscan = off;
+		SET hnsw.ef_search = $ef_search;
+		EXPLAIN ANALYZE SELECT i FROM tst ORDER BY v <-> '$queries[0]' LIMIT $limit;
+	));
+	like($explain, qr/Index Scan/);
+
+	for my $i (0 .. $#queries)
+	{
+		my $actual = $node->safe_psql("postgres", qq(
+			SET enable_seqscan = off;
+			SET hnsw.ef_search = $ef_search;
+			SELECT i FROM tst ORDER BY v <-> '$queries[$i]' LIMIT $limit;
+		));
+		my @actual_ids = split("\n", $actual);
+		my %actual_set = map { $_ => 1 } @actual_ids;
+
+		my @expected_ids = split("\n", $expected[$i]);
+
+		foreach (@expected_ids)
+		{
+			if (exists($actual_set{$_}))
+			{
+				$correct++;
+			}
+			$total++;
+		}
+	}
+
+	cmp_ok($correct / $total, ">=", $min, $test_name);
+}
+
+# Initialize node
+$node = PostgreSQL::Test::Cluster->new('node');
+$node->init;
+$node->start;
+
+# Create table
+$node->safe_psql("postgres", "CREATE EXTENSION vector;");
+$node->safe_psql("postgres", "CREATE TABLE tst (i int4, v minivec(3));");
+$node->safe_psql("postgres", "ALTER TABLE tst SET (autovacuum_enabled = false);");
+$node->safe_psql("postgres",
+	"INSERT INTO tst SELECT i, ARRAY[random(), random(), random()] FROM generate_series(1, 10000) i;"
+);
+
+# Add index
+$node->safe_psql("postgres", "CREATE INDEX ON tst USING hnsw (v minivec_l2_ops) WITH (m = 4, ef_construction = 8);");
+
+# Delete data
+$node->safe_psql("postgres", "DELETE FROM tst WHERE i > 2500;");
+
+# Generate queries
+for (1 .. 20)
+{
+	my $r1 = rand();
+	my $r2 = rand();
+	my $r3 = rand();
+	push(@queries, "[$r1,$r2,$r3]");
+}
+
+# Get exact results
+@expected = ();
+foreach (@queries)
+{
+	my $res = $node->safe_psql("postgres", qq(
+		SET enable_indexscan = off;
+		SELECT i FROM tst ORDER BY v <-> '$_' LIMIT $limit;
+	));
+	push(@expected, $res);
+}
+
+test_recall(0.18, $limit, "before vacuum");
+test_recall(0.93, 100, "before vacuum");
+
+# TODO Test concurrent inserts with vacuum
+$node->safe_psql("postgres", "VACUUM tst;");
+
+test_recall(0.95, $limit, "after vacuum");
+
+done_testing();

test/t/042_hnsw_minivec_duplicates.pl

@@ -0,0 +1,58 @@
+use strict;
+use warnings FATAL => 'all';
+use PostgreSQL::Test::Cluster;
+use PostgreSQL::Test::Utils;
+use Test::More;
+
+# Initialize node
+my $node = PostgreSQL::Test::Cluster->new('node');
+$node->init;
+$node->start;
+
+# Create table
+$node->safe_psql("postgres", "CREATE EXTENSION vector;");
+$node->safe_psql("postgres", "CREATE TABLE tst (v minivec(3));");
+
+sub insert_vectors
+{
+	for my $i (1 .. 20)
+	{
+		$node->safe_psql("postgres", "INSERT INTO tst VALUES ('[1,1,1]');");
+	}
+}
+
+sub test_duplicates
+{
+	my $res = $node->safe_psql("postgres", qq(
+		SET enable_seqscan = off;
+		SET hnsw.ef_search = 1;
+		SELECT COUNT(*) FROM (SELECT * FROM tst ORDER BY v <-> '[1,1,1]') t;
+	));
+	is($res, 10);
+}
+
+# Test duplicates with build
+insert_vectors();
+$node->safe_psql("postgres", "CREATE INDEX idx ON tst USING hnsw (v minivec_l2_ops);");
+test_duplicates();
+
+# Reset
+$node->safe_psql("postgres", "TRUNCATE tst;");
+
+# Test duplicates with inserts
+insert_vectors();
+test_duplicates();
+
+# Test fallback path for inserts
+$node->pgbench(
+	"--no-vacuum --client=5 --transactions=100",
+	0,
+	[qr{actually processed}],
+	[qr{^$}],
+	"concurrent INSERTs",
+	{
+		"042_hnsw_minivec_duplicates" => "INSERT INTO tst VALUES ('[1,1,1]');"
+	}
+);
+
+done_testing();

test/t/043_ivfflat_minivec_build_recall.pl

@@ -0,0 +1,154 @@
+use strict;
+use warnings FATAL => 'all';
+use PostgreSQL::Test::Cluster;
+use PostgreSQL::Test::Utils;
+use Test::More;
+
+my $node;
+my @queries = ();
+my @expected;
+my $limit = 20;
+my $dim = 10;
+my $array_sql = join(",", ('random()') x $dim);
+
+sub test_recall
+{
+	my ($probes, $min, $operator) = @_;
+	my $correct = 0;
+	my $total = 0;
+
+	my $explain = $node->safe_psql("postgres", qq(
+		SET enable_seqscan = off;
+		SET ivfflat.probes = $probes;
+		EXPLAIN ANALYZE SELECT i FROM tst ORDER BY v $operator '$queries[0]' LIMIT $limit;
+	));
+	like($explain, qr/Index Scan using idx on tst/);
+
+	for my $i (0 .. $#queries)
+	{
+		my $actual = $node->safe_psql("postgres", qq(
+			SET enable_seqscan = off;
+			SET ivfflat.probes = $probes;
+			SELECT i FROM tst ORDER BY v $operator '$queries[$i]' LIMIT $limit;
+		));
+		my @actual_ids = split("\n", $actual);
+
+		my @expected_ids = split("\n", $expected[$i]);
+		my %expected_set = map { $_ => 1 } @expected_ids;
+
+		foreach (@actual_ids)
+		{
+			if (exists($expected_set{$_}))
+			{
+				$correct++;
+			}
+		}
+
+		$total += $limit;
+	}
+
+	cmp_ok($correct / $total, ">=", $min, $operator);
+}
+
+# Initialize node
+$node = PostgreSQL::Test::Cluster->new('node');
+$node->init;
+$node->start;
+
+# Create table
+$node->safe_psql("postgres", "CREATE EXTENSION vector;");
+$node->safe_psql("postgres", "CREATE TABLE tst (i int4, v minivec($dim));");
+$node->safe_psql("postgres",
+	"INSERT INTO tst SELECT i, ARRAY[$array_sql] FROM generate_series(1, 100000) i;"
+);
+
+# Generate queries
+for (1 .. 20)
+{
+	my @r = ();
+	for (1 .. $dim)
+	{
+		push(@r, rand());
+	}
+	push(@queries, "[" . join(",", @r) . "]");
+}
+
+# Check each index type
+my @operators = ("<->", "<#>", "<=>");
+my @opclasses = ("minivec_l2_ops", "minivec_ip_ops", "minivec_cosine_ops");
+
+for my $i (0 .. $#operators)
+{
+	my $operator = $operators[$i];
+	my $opclass = $opclasses[$i];
+
+	# Get exact results
+	@expected = ();
+	foreach (@queries)
+	{
+		my $res = $node->safe_psql("postgres", qq(
+			WITH top AS (
+				SELECT v $operator '$_' AS distance FROM tst ORDER BY distance LIMIT $limit
+			)
+			SELECT i FROM tst WHERE (v $operator '$_') <= (SELECT MAX(distance) FROM top)
+		));
+		push(@expected, $res);
+	}
+
+	# Build index serially
+	$node->safe_psql("postgres", qq(
+		SET max_parallel_maintenance_workers = 0;
+		CREATE INDEX idx ON tst USING ivfflat (v $opclass);
+	));
+
+	# Test approximate results
+	if ($operator ne "<#>")
+	{
+		# TODO Fix test (uniform random vectors all have similar inner product)
+		test_recall(1, 0.33, $operator);
+		test_recall(10, 0.93, $operator);
+	}
+
+	# Test probes equals lists
+	if ($operator eq "<=>")
+	{
+		test_recall(100, 0.98, $operator);
+	}
+	else
+	{
+		test_recall(100, 1.00, $operator);
+	}
+
+	$node->safe_psql("postgres", "DROP INDEX idx;");
+
+	# Build index in parallel
+	my ($ret, $stdout, $stderr) = $node->psql("postgres", qq(
+		SET client_min_messages = DEBUG;
+		SET min_parallel_table_scan_size = 1;
+		CREATE INDEX idx ON tst USING ivfflat (v $opclass);
+	));
+	is($ret, 0, $stderr);
+	like($stderr, qr/using \d+ parallel workers/);
+
+	# Test approximate results
+	if ($operator ne "<#>")
+	{
+		# TODO Fix test (uniform random vectors all have similar inner product)
+		test_recall(1, 0.33, $operator);
+		test_recall(10, 0.93, $operator);
+	}
+
+	# Test probes equals lists
+	if ($operator eq "<=>")
+	{
+		test_recall(100, 0.98, $operator);
+	}
+	else
+	{
+		test_recall(100, 1.00, $operator);
+	}
+
+	$node->safe_psql("postgres", "DROP INDEX idx;");
+}
+
+done_testing();