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16 Commits

Author SHA1 Message Date
Andrew Kane
2867742f3d Test sparsevec vacuum recall 2024-04-23 21:54:15 -07:00
Andrew Kane
281a74f54e Improved consistency of sparsevec_l1_distance with vector [skip ci] 2024-04-23 21:24:02 -07:00
Andrew Kane
034713c803 Improved consistency with vector [skip ci] 2024-04-23 21:13:00 -07:00
Andrew Kane
ed2e460f00 Improved consistency with vector [skip ci] 2024-04-23 21:11:27 -07:00
Andrew Kane
d136615874 Improved test [skip ci] 2024-04-23 20:42:30 -07:00
Andrew Kane
d70b160e0a Improved test [skip ci] 2024-04-23 20:41:11 -07:00
Andrew Kane
d1affcc667 Improved tests for l2_norm [skip ci] 2024-04-23 20:38:22 -07:00
Andrew Kane
158481ff2a Improved tests for sparsevec distance functions [skip ci] 2024-04-23 20:29:04 -07:00
Andrew Kane
794bbaecc7 Removed padding for sparsevec - #529
Co-authored-by: Heikki Linnakangas <heikki.linnakangas@iki.fi>
2024-04-23 20:07:24 -07:00
Andrew Kane
8eddcfbd1d Increased max sparsevec dimensions to 1M [skip ci] 2024-04-23 17:47:11 -07:00
Andrew Kane
b609c343b4 Moved type-specific code to separate functions 2024-04-23 16:32:10 -07:00
Andrew Kane
bbfb3f200a DRY code for sorting vector arrays [skip ci] 2024-04-23 15:59:42 -07:00
Andrew Kane
99d367edc0 Improved code [skip ci] 2024-04-23 15:53:12 -07:00
Andrew Kane
991743786a Set length for newCenters and aggCenters [skip ci] 2024-04-23 15:47:04 -07:00
Andrew Kane
60ceaea4f2 Added safety check to NormCenters [skip ci] 2024-04-23 15:43:04 -07:00
Andrew Kane
9cd789fe06 Switched to support function for normalizing centers for k-means 2024-04-23 15:39:58 -07:00
18 changed files with 329 additions and 273 deletions

View File

@@ -8,18 +8,8 @@ jobs:
fail-fast: false
matrix:
include:
- postgres: 17
os: ubuntu-22.04
- postgres: 16
os: ubuntu-22.04
- postgres: 15
os: ubuntu-22.04
- postgres: 14
os: ubuntu-22.04
- postgres: 13
os: ubuntu-20.04
- postgres: 12
os: ubuntu-20.04
steps:
- uses: actions/checkout@v4
- uses: ankane/setup-postgres@v1
@@ -38,94 +28,4 @@ jobs:
- run: |
sudo apt-get update
sudo apt-get install libipc-run-perl
- run: make prove_installcheck
mac:
runs-on: ${{ matrix.os }}
if: ${{ !startsWith(github.ref_name, 'windows') }}
strategy:
fail-fast: false
matrix:
include:
- postgres: 16
os: macos-14
- postgres: 14
os: macos-12
steps:
- uses: actions/checkout@v4
- uses: ankane/setup-postgres@v1
with:
postgres-version: ${{ matrix.postgres }}
- run: make
env:
PG_CFLAGS: -DUSE_ASSERT_CHECKING -Wall -Wextra -Werror -Wno-unused-parameter
- run: make install
- run: make installcheck
- if: ${{ failure() }}
run: cat regression.diffs
# Homebrew Postgres does not enable TAP tests, so need to download
- run: |
brew install cpanm
cpanm --notest IPC::Run
wget -q https://github.com/postgres/postgres/archive/refs/tags/$TAG.tar.gz
tar xf $TAG.tar.gz
mv postgres-$TAG postgres
env:
TAG: ${{ matrix.postgres == 16 && 'REL_16_2' || 'REL_14_11' }}
- run: make prove_installcheck PROVE_FLAGS="-I ./postgres/src/test/perl -I ./test/perl"
env:
PERL5LIB: /Users/runner/perl5/lib/perl5
- run: make clean && $(brew --prefix llvm@15)/bin/scan-build --status-bugs make
env:
PG_CFLAGS: -DUSE_ASSERT_CHECKING
windows:
runs-on: windows-latest
if: ${{ !startsWith(github.ref_name, 'mac') }}
steps:
- uses: actions/checkout@v4
- uses: ankane/setup-postgres@v1
with:
postgres-version: 14
- run: |
call "C:\Program Files\Microsoft Visual Studio\2022\Enterprise\VC\Auxiliary\Build\vcvars64.bat" && ^
cd %TEMP% && ^
nmake /NOLOGO /F Makefile.win && ^
nmake /NOLOGO /F Makefile.win install && ^
nmake /NOLOGO /F Makefile.win installcheck && ^
nmake /NOLOGO /F Makefile.win clean && ^
nmake /NOLOGO /F Makefile.win uninstall
shell: cmd
i386:
if: ${{ !startsWith(github.ref_name, 'mac') && !startsWith(github.ref_name, 'windows') }}
runs-on: ubuntu-latest
container:
image: debian:12
options: --platform linux/386
steps:
- run: apt-get update && apt-get install -y build-essential git libipc-run-perl postgresql-15 postgresql-server-dev-15 sudo
- run: service postgresql start
- run: |
git clone https://github.com/${{ github.repository }}.git pgvector
cd pgvector
git fetch origin ${{ github.ref }}
git reset --hard FETCH_HEAD
make
make install
chown -R postgres .
sudo -u postgres make installcheck
sudo -u postgres make prove_installcheck
env:
PG_CFLAGS: -DUSE_ASSERT_CHECKING -Wall -Wextra -Werror -Wno-unused-parameter -Wno-sign-compare
- if: ${{ failure() }}
run: cat pgvector/regression.diffs
valgrind:
if: ${{ !startsWith(github.ref_name, 'mac') && !startsWith(github.ref_name, 'windows') }}
runs-on: ubuntu-latest
steps:
- uses: actions/checkout@v4
- uses: ankane/setup-postgres-valgrind@v1
with:
postgres-version: 16
check-ub: yes
- run: make OPTFLAGS=""
- run: sudo --preserve-env=PG_CONFIG make install
- run: make installcheck
- run: for run in {1..100}; do make prove_installcheck PROVE_TESTS=test/t/031_hnsw_sparsevec_vacuum_recall.pl || break; done

View File

@@ -327,7 +327,7 @@ CREATE FUNCTION jaccard_distance(bit, bit) RETURNS float8
CREATE FUNCTION bit_ivfflat_support(internal) RETURNS internal
AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
CREATE FUNCTION bit_hnsw_max_dims(internal) RETURNS internal
CREATE FUNCTION bit_hnsw_support(internal) RETURNS internal
AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
-- bit operators
@@ -355,13 +355,13 @@ CREATE OPERATOR CLASS bit_hamming_ops
FOR TYPE bit USING hnsw AS
OPERATOR 1 <~> (bit, bit) FOR ORDER BY float_ops,
FUNCTION 1 hamming_distance(bit, bit),
FUNCTION 4 bit_hnsw_max_dims(internal);
FUNCTION 4 bit_hnsw_support(internal);
CREATE OPERATOR CLASS bit_jaccard_ops
FOR TYPE bit USING hnsw AS
OPERATOR 1 <%> (bit, bit) FOR ORDER BY float_ops,
FUNCTION 1 jaccard_distance(bit, bit),
FUNCTION 4 bit_hnsw_max_dims(internal);
FUNCTION 4 bit_hnsw_support(internal);
-- halfvec type
@@ -473,7 +473,7 @@ CREATE FUNCTION halfvec_avg(double precision[]) RETURNS halfvec
CREATE FUNCTION halfvec_ivfflat_support(internal) RETURNS internal
AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
CREATE FUNCTION halfvec_hnsw_max_dims(internal) RETURNS internal
CREATE FUNCTION halfvec_hnsw_support(internal) RETURNS internal
AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
-- halfvec aggregates
@@ -663,13 +663,13 @@ CREATE OPERATOR CLASS halfvec_l2_ops
FOR TYPE halfvec USING hnsw AS
OPERATOR 1 <-> (halfvec, halfvec) FOR ORDER BY float_ops,
FUNCTION 1 halfvec_l2_squared_distance(halfvec, halfvec),
FUNCTION 4 halfvec_hnsw_max_dims(internal);
FUNCTION 4 halfvec_hnsw_support(internal);
CREATE OPERATOR CLASS halfvec_ip_ops
FOR TYPE halfvec USING hnsw AS
OPERATOR 1 <#> (halfvec, halfvec) FOR ORDER BY float_ops,
FUNCTION 1 halfvec_negative_inner_product(halfvec, halfvec),
FUNCTION 4 halfvec_hnsw_max_dims(internal);
FUNCTION 4 halfvec_hnsw_support(internal);
CREATE OPERATOR CLASS halfvec_cosine_ops
FOR TYPE halfvec USING hnsw AS
@@ -677,13 +677,13 @@ CREATE OPERATOR CLASS halfvec_cosine_ops
FUNCTION 1 halfvec_negative_inner_product(halfvec, halfvec),
FUNCTION 2 l2_norm(halfvec),
FUNCTION 3 l2_normalize(halfvec),
FUNCTION 4 halfvec_hnsw_max_dims(internal);
FUNCTION 4 halfvec_hnsw_support(internal);
CREATE OPERATOR CLASS halfvec_l1_ops
FOR TYPE halfvec USING hnsw AS
OPERATOR 1 <+> (halfvec, halfvec) FOR ORDER BY float_ops,
FUNCTION 1 l1_distance(halfvec, halfvec),
FUNCTION 4 halfvec_hnsw_max_dims(internal);
FUNCTION 4 halfvec_hnsw_support(internal);
--- sparsevec type
@@ -779,10 +779,7 @@ CREATE FUNCTION halfvec_to_sparsevec(halfvec, integer, boolean) RETURNS sparseve
CREATE FUNCTION sparsevec_to_halfvec(sparsevec, integer, boolean) RETURNS halfvec
AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
CREATE FUNCTION sparsevec_hnsw_max_dims(internal) RETURNS internal
AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
CREATE FUNCTION sparsevec_hnsw_check_value(internal) RETURNS internal
CREATE FUNCTION sparsevec_hnsw_support(internal) RETURNS internal
AS 'MODULE_PATHNAME' LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
-- sparsevec casts
@@ -875,15 +872,13 @@ CREATE OPERATOR CLASS sparsevec_l2_ops
FOR TYPE sparsevec USING hnsw AS
OPERATOR 1 <-> (sparsevec, sparsevec) FOR ORDER BY float_ops,
FUNCTION 1 sparsevec_l2_squared_distance(sparsevec, sparsevec),
FUNCTION 4 sparsevec_hnsw_max_dims(internal),
FUNCTION 5 sparsevec_hnsw_check_value(internal);
FUNCTION 4 sparsevec_hnsw_support(internal);
CREATE OPERATOR CLASS sparsevec_ip_ops
FOR TYPE sparsevec USING hnsw AS
OPERATOR 1 <#> (sparsevec, sparsevec) FOR ORDER BY float_ops,
FUNCTION 1 sparsevec_negative_inner_product(sparsevec, sparsevec),
FUNCTION 4 sparsevec_hnsw_max_dims(internal),
FUNCTION 5 sparsevec_hnsw_check_value(internal);
FUNCTION 4 sparsevec_hnsw_support(internal);
CREATE OPERATOR CLASS sparsevec_cosine_ops
FOR TYPE sparsevec USING hnsw AS
@@ -891,12 +886,10 @@ CREATE OPERATOR CLASS sparsevec_cosine_ops
FUNCTION 1 sparsevec_negative_inner_product(sparsevec, sparsevec),
FUNCTION 2 l2_norm(sparsevec),
FUNCTION 3 l2_normalize(sparsevec),
FUNCTION 4 sparsevec_hnsw_max_dims(internal),
FUNCTION 5 sparsevec_hnsw_check_value(internal);
FUNCTION 4 sparsevec_hnsw_support(internal);
CREATE OPERATOR CLASS sparsevec_l1_ops
FOR TYPE sparsevec USING hnsw AS
OPERATOR 1 <+> (sparsevec, sparsevec) FOR ORDER BY float_ops,
FUNCTION 1 l1_distance(sparsevec, sparsevec),
FUNCTION 4 sparsevec_hnsw_max_dims(internal),
FUNCTION 5 sparsevec_hnsw_check_value(internal);
FUNCTION 4 sparsevec_hnsw_support(internal);

View File

@@ -194,7 +194,7 @@ hnswhandler(PG_FUNCTION_ARGS)
IndexAmRoutine *amroutine = makeNode(IndexAmRoutine);
amroutine->amstrategies = 0;
amroutine->amsupport = 5;
amroutine->amsupport = 4;
#if PG_VERSION_NUM >= 130000
amroutine->amoptsprocnum = 0;
#endif

View File

@@ -23,8 +23,7 @@
#define HNSW_DISTANCE_PROC 1
#define HNSW_NORM_PROC 2
#define HNSW_NORMALIZE_PROC 3
#define HNSW_MAX_DIMS_PROC 4
#define HNSW_CHECK_VALUE_PROC 5
#define HNSW_TYPE_SUPPORT_PROC 4
#define HNSW_VERSION 1
#define HNSW_MAGIC_NUMBER 0xA953A953
@@ -59,6 +58,15 @@
#define HNSW_UPDATE_ENTRY_GREATER 1
#define HNSW_UPDATE_ENTRY_ALWAYS 2
typedef enum HnswType
{
HNSW_TYPE_VECTOR,
HNSW_TYPE_HALFVEC,
HNSW_TYPE_BIT,
HNSW_TYPE_SPARSEVEC,
HNSW_TYPE_UNSUPPORTED
} HnswType;
/* Build phases */
/* PROGRESS_CREATEIDX_SUBPHASE_INITIALIZE is 1 */
#define PROGRESS_HNSW_PHASE_LOAD 2
@@ -246,6 +254,7 @@ typedef struct HnswBuildState
Relation index;
IndexInfo *indexInfo;
ForkNumber forkNum;
HnswType type;
/* Settings */
int dimensions;
@@ -260,7 +269,6 @@ typedef struct HnswBuildState
FmgrInfo *procinfo;
FmgrInfo *normprocinfo;
FmgrInfo *normalizeprocinfo;
FmgrInfo *checkvalueprocinfo;
Oid collation;
/* Variables */
@@ -373,9 +381,10 @@ typedef struct HnswVacuumState
int HnswGetM(Relation index);
int HnswGetEfConstruction(Relation index);
FmgrInfo *HnswOptionalProcInfo(Relation index, uint16 procnum);
HnswType HnswGetType(Relation index);
Datum HnswNormValue(FmgrInfo *procinfo, Oid collation, Datum value);
bool HnswCheckNorm(FmgrInfo *procinfo, Oid collation, Datum value);
void HnswCheckValue(FmgrInfo *procinfo, Oid collation, Datum value);
void HnswCheckValue(Datum value, HnswType type);
Buffer HnswNewBuffer(Relation index, ForkNumber forkNum);
void HnswInitPage(Buffer buf, Page page);
void HnswInit(void);

View File

@@ -488,8 +488,7 @@ InsertTuple(Relation index, Datum *values, bool *isnull, ItemPointer heaptid, Hn
Datum value = PointerGetDatum(PG_DETOAST_DATUM(values[0]));
/* Check value */
if (buildstate->checkvalueprocinfo != NULL)
HnswCheckValue(buildstate->checkvalueprocinfo, buildstate->collation, value);
HnswCheckValue(value, buildstate->type);
/* Normalize if needed */
if (buildstate->normprocinfo != NULL)
@@ -676,14 +675,18 @@ HnswSharedMemoryAlloc(Size size, void *state)
* Get max dimensions
*/
static int
GetMaxDimensions(Relation index)
GetMaxDimensions(HnswType type)
{
FmgrInfo *procinfo = HnswOptionalProcInfo(index, HNSW_MAX_DIMS_PROC);
int maxDimensions = HNSW_MAX_DIM;
if (procinfo == NULL)
return HNSW_MAX_DIM;
if (type == HNSW_TYPE_HALFVEC)
maxDimensions *= 2;
else if (type == HNSW_TYPE_BIT)
maxDimensions *= 32;
else if (type == HNSW_TYPE_SPARSEVEC)
maxDimensions = INT_MAX;
return DatumGetInt32(FunctionCall1(procinfo, PointerGetDatum(NULL)));
return maxDimensions;
}
/*
@@ -698,15 +701,13 @@ InitBuildState(HnswBuildState * buildstate, Relation heap, Relation index, Index
buildstate->index = index;
buildstate->indexInfo = indexInfo;
buildstate->forkNum = forkNum;
buildstate->type = HnswGetType(index);
buildstate->m = HnswGetM(index);
buildstate->efConstruction = HnswGetEfConstruction(index);
buildstate->dimensions = TupleDescAttr(index->rd_att, 0)->atttypmod;
if (TupleDescAttr(index->rd_att, 0)->atttypid == VARBITOID)
elog(ERROR, "type not supported for hnsw index");
maxDimensions = GetMaxDimensions(index);
maxDimensions = GetMaxDimensions(buildstate->type);
/* Require column to have dimensions to be indexed */
if (buildstate->dimensions < 0)
@@ -725,7 +726,6 @@ InitBuildState(HnswBuildState * buildstate, Relation heap, Relation index, Index
buildstate->procinfo = index_getprocinfo(index, 1, HNSW_DISTANCE_PROC);
buildstate->normprocinfo = HnswOptionalProcInfo(index, HNSW_NORM_PROC);
buildstate->normalizeprocinfo = HnswOptionalProcInfo(index, HNSW_NORMALIZE_PROC);
buildstate->checkvalueprocinfo = HnswOptionalProcInfo(index, HNSW_CHECK_VALUE_PROC);
buildstate->collation = index->rd_indcollation[0];
InitGraph(&buildstate->graphData, NULL, maintenance_work_mem * 1024L);

View File

@@ -612,7 +612,6 @@ static void
HnswInsertTuple(Relation index, Datum *values, bool *isnull, ItemPointer heap_tid)
{
Datum value;
FmgrInfo *checkvalueprocinfo = HnswOptionalProcInfo(index, HNSW_CHECK_VALUE_PROC);
FmgrInfo *normprocinfo;
Oid collation = index->rd_indcollation[0];
@@ -620,8 +619,7 @@ HnswInsertTuple(Relation index, Datum *values, bool *isnull, ItemPointer heap_ti
value = PointerGetDatum(PG_DETOAST_DATUM(values[0]));
/* Check value */
if (checkvalueprocinfo != NULL)
HnswCheckValue(checkvalueprocinfo, collation, value);
HnswCheckValue(value, HnswGetType(index));
/* Normalize if needed */
normprocinfo = HnswOptionalProcInfo(index, HNSW_NORM_PROC);

View File

@@ -152,6 +152,27 @@ HnswOptionalProcInfo(Relation index, uint16 procnum)
return index_getprocinfo(index, 1, procnum);
}
/*
* Get type
*/
HnswType
HnswGetType(Relation index)
{
FmgrInfo *procinfo = HnswOptionalProcInfo(index, HNSW_TYPE_SUPPORT_PROC);
Oid typid = TupleDescAttr(index->rd_att, 0)->atttypid;
HnswType result;
if (procinfo == NULL)
return HNSW_TYPE_VECTOR;
result = (HnswType) DatumGetInt32(FunctionCall1(procinfo, ObjectIdGetDatum(typid)));
if (result == HNSW_TYPE_UNSUPPORTED)
elog(ERROR, "type not supported for hnsw index");
return result;
}
/*
* Normalize value
*/
@@ -177,9 +198,15 @@ HnswCheckNorm(FmgrInfo *procinfo, Oid collation, Datum value)
* Check if a value can be indexed
*/
void
HnswCheckValue(FmgrInfo *procinfo, Oid collation, Datum value)
HnswCheckValue(Datum value, HnswType type)
{
FunctionCall1Coll(procinfo, collation, value);
if (type == HNSW_TYPE_SPARSEVEC)
{
SparseVector *vec = DatumGetSparseVector(value);
if (vec->nnz > HNSW_MAX_NNZ)
elog(ERROR, "sparsevec cannot have more than %d non-zero elements for hnsw index", HNSW_MAX_NNZ);
}
}
/*
@@ -1276,35 +1303,28 @@ HnswFindElementNeighbors(char *base, HnswElement element, HnswElement entryPoint
}
}
PGDLLEXPORT PG_FUNCTION_INFO_V1(halfvec_hnsw_max_dims);
PGDLLEXPORT PG_FUNCTION_INFO_V1(halfvec_hnsw_support);
Datum
halfvec_hnsw_max_dims(PG_FUNCTION_ARGS)
halfvec_hnsw_support(PG_FUNCTION_ARGS)
{
PG_RETURN_INT32(HNSW_MAX_DIM * 2);
PG_RETURN_INT32(HNSW_TYPE_HALFVEC);
};
PGDLLEXPORT PG_FUNCTION_INFO_V1(bit_hnsw_max_dims);
PGDLLEXPORT PG_FUNCTION_INFO_V1(bit_hnsw_support);
Datum
bit_hnsw_max_dims(PG_FUNCTION_ARGS)
bit_hnsw_support(PG_FUNCTION_ARGS)
{
PG_RETURN_INT32(HNSW_MAX_DIM * 32);
Oid typid = PG_GETARG_OID(0);
if (typid == BITOID)
PG_RETURN_INT32(HNSW_TYPE_BIT);
else
PG_RETURN_INT32(HNSW_TYPE_UNSUPPORTED);
};
PGDLLEXPORT PG_FUNCTION_INFO_V1(sparsevec_hnsw_max_dims);
PGDLLEXPORT PG_FUNCTION_INFO_V1(sparsevec_hnsw_support);
Datum
sparsevec_hnsw_max_dims(PG_FUNCTION_ARGS)
sparsevec_hnsw_support(PG_FUNCTION_ARGS)
{
PG_RETURN_INT32(SPARSEVEC_MAX_DIM);
PG_RETURN_INT32(HNSW_TYPE_SPARSEVEC);
};
PGDLLEXPORT PG_FUNCTION_INFO_V1(sparsevec_hnsw_check_value);
Datum
sparsevec_hnsw_check_value(PG_FUNCTION_ARGS)
{
SparseVector *vec = PG_GETARG_SPARSEVEC_P(0);
if (vec->nnz > HNSW_MAX_NNZ)
elog(ERROR, "sparsevec cannot have more than %d non-zero elements for hnsw index", HNSW_MAX_NNZ);
PG_RETURN_VOID();
}

View File

@@ -89,33 +89,31 @@ InitCenters(Relation index, VectorArray samples, VectorArray centers, float *low
}
/*
* Apply norm to vector
* Norm centers
*/
static inline void
ApplyNorm(FmgrInfo *normprocinfo, Oid collation, Datum value, IvfflatType type)
static void
NormCenters(FmgrInfo *normalizeprocinfo, Oid collation, VectorArray centers)
{
double norm = DatumGetFloat8(FunctionCall1Coll(normprocinfo, collation, value));
MemoryContext normCtx = AllocSetContextCreate(CurrentMemoryContext,
"Ivfflat norm temporary context",
ALLOCSET_DEFAULT_SIZES);
MemoryContext oldCtx = MemoryContextSwitchTo(normCtx);
/* TODO Handle zero norm */
if (norm > 0)
for (int j = 0; j < centers->length; j++)
{
if (type == IVFFLAT_TYPE_VECTOR)
{
Vector *vec = DatumGetVector(value);
Datum center = PointerGetDatum(VectorArrayGet(centers, j));
Datum newCenter = IvfflatNormValue(normalizeprocinfo, collation, center);
Size size = VARSIZE_ANY(DatumGetPointer(newCenter));
for (int i = 0; i < vec->dim; i++)
vec->x[i] /= norm;
}
else if (type == IVFFLAT_TYPE_HALFVEC)
{
HalfVector *vec = DatumGetHalfVector(value);
if (size > centers->itemsize)
elog(ERROR, "safety check failed");
for (int i = 0; i < vec->dim; i++)
vec->x[i] = Float4ToHalfUnchecked(HalfToFloat4(vec->x[i]) / norm);
}
else
elog(ERROR, "Unsupported type");
memcpy(DatumGetPointer(center), DatumGetPointer(newCenter), size);
MemoryContextReset(normCtx);
}
MemoryContextSwitchTo(oldCtx);
MemoryContextDelete(normCtx);
}
/*
@@ -145,6 +143,22 @@ CompareBitVectors(const void *a, const void *b)
return DirectFunctionCall2(bitcmp, VarBitPGetDatum((VarBit *) a), VarBitPGetDatum((VarBit *) b));
}
/*
* Sort vector array
*/
static void
SortVectorArray(VectorArray arr, IvfflatType type)
{
if (type == IVFFLAT_TYPE_VECTOR)
qsort(arr->items, arr->length, arr->itemsize, CompareVectors);
else if (type == IVFFLAT_TYPE_HALFVEC)
qsort(arr->items, arr->length, arr->itemsize, CompareHalfVectors);
else if (type == IVFFLAT_TYPE_BIT)
qsort(arr->items, arr->length, arr->itemsize, CompareBitVectors);
else
elog(ERROR, "Unsupported type");
}
/*
* Quick approach if we have little data
*/
@@ -154,18 +168,12 @@ QuickCenters(Relation index, VectorArray samples, VectorArray centers, IvfflatTy
int dimensions = centers->dim;
Oid collation = index->rd_indcollation[0];
FmgrInfo *normprocinfo = IvfflatOptionalProcInfo(index, IVFFLAT_KMEANS_NORM_PROC);
FmgrInfo *normalizeprocinfo = IvfflatOptionalProcInfo(index, IVFFLAT_NORMALIZE_PROC);
/* Copy existing vectors while avoiding duplicates */
if (samples->length > 0)
{
if (type == IVFFLAT_TYPE_VECTOR)
qsort(samples->items, samples->length, samples->itemsize, CompareVectors);
else if (type == IVFFLAT_TYPE_HALFVEC)
qsort(samples->items, samples->length, samples->itemsize, CompareHalfVectors);
else if (type == IVFFLAT_TYPE_BIT)
qsort(samples->items, samples->length, samples->itemsize, CompareBitVectors);
else
elog(ERROR, "Unsupported type");
SortVectorArray(samples, type);
for (int i = 0; i < samples->length; i++)
{
@@ -217,12 +225,12 @@ QuickCenters(Relation index, VectorArray samples, VectorArray centers, IvfflatTy
else
elog(ERROR, "Unsupported type");
/* Normalize if needed (only needed for random centers) */
if (normprocinfo != NULL)
ApplyNorm(normprocinfo, collation, center, type);
centers->length++;
}
/* Fine if existing vectors are normalized twice */
if (normprocinfo != NULL)
NormCenters(normalizeprocinfo, collation, centers);
}
#ifdef IVFFLAT_MEMORY
@@ -243,27 +251,14 @@ ShowMemoryUsage(MemoryContext context, Size estimatedSize)
#endif
/*
* Compute new centers
* Sum centers
*/
static void
ComputeNewCenters(VectorArray samples, VectorArray aggCenters, VectorArray newCenters, int *centerCounts, int *closestCenters, FmgrInfo *normprocinfo, Oid collation, IvfflatType type)
SumCenters(VectorArray samples, VectorArray aggCenters, int *closestCenters, IvfflatType type)
{
int dimensions = aggCenters->dim;
int numCenters = aggCenters->maxlen;
int numSamples = samples->length;
/* Reset sum and count */
for (int j = 0; j < numCenters; j++)
{
Vector *vec = (Vector *) VectorArrayGet(aggCenters, j);
for (int k = 0; k < dimensions; k++)
vec->x[k] = 0.0;
centerCounts[j] = 0;
}
/* Increment sum of closest center */
if (type == IVFFLAT_TYPE_VECTOR)
{
for (int j = 0; j < numSamples; j++)
@@ -299,6 +294,68 @@ ComputeNewCenters(VectorArray samples, VectorArray aggCenters, VectorArray newCe
}
else
elog(ERROR, "Unsupported type");
}
/*
* Set new centers
*/
static void
SetNewCenters(VectorArray aggCenters, VectorArray newCenters, IvfflatType type)
{
int dimensions = aggCenters->dim;
int numCenters = aggCenters->maxlen;
if (type == IVFFLAT_TYPE_HALFVEC)
{
for (int j = 0; j < numCenters; j++)
{
Vector *aggCenter = (Vector *) VectorArrayGet(aggCenters, j);
HalfVector *newCenter = (HalfVector *) VectorArrayGet(newCenters, j);
for (int k = 0; k < dimensions; k++)
newCenter->x[k] = Float4ToHalfUnchecked(aggCenter->x[k]);
}
}
else if (type == IVFFLAT_TYPE_BIT)
{
for (int j = 0; j < numCenters; j++)
{
Vector *aggCenter = (Vector *) VectorArrayGet(aggCenters, j);
VarBit *newCenter = (VarBit *) VectorArrayGet(newCenters, j);
unsigned char *nx = VARBITS(newCenter);
for (uint32 k = 0; k < VARBITBYTES(newCenter); k++)
nx[k] = 0;
for (int k = 0; k < dimensions; k++)
nx[k / 8] |= (aggCenter->x[k] > 0.5) << (7 - (k % 8));
}
}
}
/*
* Compute new centers
*/
static void
ComputeNewCenters(VectorArray samples, VectorArray aggCenters, VectorArray newCenters, int *centerCounts, int *closestCenters, FmgrInfo *normprocinfo, FmgrInfo *normalizeprocinfo, Oid collation, IvfflatType type)
{
int dimensions = aggCenters->dim;
int numCenters = aggCenters->maxlen;
int numSamples = samples->length;
/* Reset sum and count */
for (int j = 0; j < numCenters; j++)
{
Vector *vec = (Vector *) VectorArrayGet(aggCenters, j);
for (int k = 0; k < dimensions; k++)
vec->x[k] = 0.0;
centerCounts[j] = 0;
}
/* Increment sum of closest center */
SumCenters(samples, aggCenters, closestCenters, type);
/* Increment count of closest center */
for (int j = 0; j < numSamples; j++)
@@ -331,43 +388,11 @@ ComputeNewCenters(VectorArray samples, VectorArray aggCenters, VectorArray newCe
}
/* Set new centers if different from agg centers */
if (type == IVFFLAT_TYPE_HALFVEC)
{
for (int j = 0; j < numCenters; j++)
{
Vector *aggCenter = (Vector *) VectorArrayGet(aggCenters, j);
HalfVector *newCenter = (HalfVector *) VectorArrayGet(newCenters, j);
for (int k = 0; k < dimensions; k++)
newCenter->x[k] = Float4ToHalfUnchecked(aggCenter->x[k]);
}
}
else if (type == IVFFLAT_TYPE_BIT)
{
for (int j = 0; j < numCenters; j++)
{
Vector *aggCenter = (Vector *) VectorArrayGet(aggCenters, j);
VarBit *newCenter = (VarBit *) VectorArrayGet(newCenters, j);
unsigned char *nx = VARBITS(newCenter);
for (uint32 k = 0; k < VARBITBYTES(newCenter); k++)
nx[k] = 0;
for (int k = 0; k < dimensions; k++)
nx[k / 8] |= (aggCenter->x[k] > 0.5) << (7 - (k % 8));
}
}
SetNewCenters(aggCenters, newCenters, type);
/* Normalize if needed */
if (normprocinfo != NULL)
{
for (int j = 0; j < numCenters; j++)
{
Datum newCenter = PointerGetDatum(VectorArrayGet(newCenters, j));
ApplyNorm(normprocinfo, collation, newCenter, type);
}
}
NormCenters(normalizeprocinfo, collation, newCenters);
}
/*
@@ -383,6 +408,7 @@ ElkanKmeans(Relation index, VectorArray samples, VectorArray centers, IvfflatTyp
{
FmgrInfo *procinfo;
FmgrInfo *normprocinfo;
FmgrInfo *normalizeprocinfo;
Oid collation;
int dimensions = centers->dim;
int numCenters = centers->maxlen;
@@ -430,6 +456,7 @@ ElkanKmeans(Relation index, VectorArray samples, VectorArray centers, IvfflatTyp
/* Set support functions */
procinfo = index_getprocinfo(index, 1, IVFFLAT_KMEANS_DISTANCE_PROC);
normprocinfo = IvfflatOptionalProcInfo(index, IVFFLAT_KMEANS_NORM_PROC);
normalizeprocinfo = IvfflatOptionalProcInfo(index, IVFFLAT_NORMALIZE_PROC);
collation = index->rd_indcollation[0];
/* Use memory context */
@@ -449,6 +476,8 @@ ElkanKmeans(Relation index, VectorArray samples, VectorArray centers, IvfflatTyp
newcdist = palloc(newcdistSize);
aggCenters = VectorArrayInit(numCenters, dimensions, VECTOR_SIZE(dimensions));
aggCenters->length = numCenters;
for (int j = 0; j < numCenters; j++)
{
Vector *vec = (Vector *) VectorArrayGet(aggCenters, j);
@@ -465,6 +494,7 @@ ElkanKmeans(Relation index, VectorArray samples, VectorArray centers, IvfflatTyp
else if (type == IVFFLAT_TYPE_HALFVEC)
{
newCenters = VectorArrayInit(numCenters, dimensions, centers->itemsize);
newCenters->length = numCenters;
for (int j = 0; j < numCenters; j++)
{
@@ -477,6 +507,7 @@ ElkanKmeans(Relation index, VectorArray samples, VectorArray centers, IvfflatTyp
else if (type == IVFFLAT_TYPE_BIT)
{
newCenters = VectorArrayInit(numCenters, dimensions, centers->itemsize);
newCenters->length = numCenters;
for (int j = 0; j < numCenters; j++)
{
@@ -627,7 +658,7 @@ ElkanKmeans(Relation index, VectorArray samples, VectorArray centers, IvfflatTyp
}
/* Step 4: For each center c, let m(c) be mean of all points assigned */
ComputeNewCenters(samples, aggCenters, newCenters, centerCounts, closestCenters, normprocinfo, collation, type);
ComputeNewCenters(samples, aggCenters, newCenters, centerCounts, closestCenters, normprocinfo, normalizeprocinfo, collation, type);
/* Step 5 */
for (int j = 0; j < numCenters; j++)
@@ -710,13 +741,7 @@ CheckCenters(Relation index, VectorArray centers, IvfflatType type)
if (type != IVFFLAT_TYPE_BIT)
{
/* Ensure no duplicate centers */
/* Fine to sort in-place */
if (type == IVFFLAT_TYPE_VECTOR)
qsort(centers->items, centers->length, centers->itemsize, CompareVectors);
else if (type == IVFFLAT_TYPE_HALFVEC)
qsort(centers->items, centers->length, centers->itemsize, CompareHalfVectors);
else
elog(ERROR, "Unsupported type");
SortVectorArray(centers, type);
for (int i = 1; i < centers->length; i++)
{

View File

@@ -683,7 +683,7 @@ SparsevecL2SquaredDistance(SparseVector * a, SparseVector * b)
if (ai == bi)
{
double diff = ax[i] - bx[j];
float diff = ax[i] - bx[j];
distance += diff * diff;
}
@@ -721,7 +721,7 @@ sparsevec_l2_distance(PG_FUNCTION_ARGS)
CheckDims(a, b);
PG_RETURN_FLOAT8(sqrt(SparsevecL2SquaredDistance(a, b)));
PG_RETURN_FLOAT8(sqrt((double) SparsevecL2SquaredDistance(a, b)));
}
/*
@@ -737,7 +737,7 @@ sparsevec_l2_squared_distance(PG_FUNCTION_ARGS)
CheckDims(a, b);
PG_RETURN_FLOAT8(SparsevecL2SquaredDistance(a, b));
PG_RETURN_FLOAT8((double) SparsevecL2SquaredDistance(a, b));
}
/*
@@ -788,7 +788,7 @@ sparsevec_inner_product(PG_FUNCTION_ARGS)
CheckDims(a, b);
PG_RETURN_FLOAT8(SparsevecInnerProduct(a, b));
PG_RETURN_FLOAT8((double) SparsevecInnerProduct(a, b));
}
/*
@@ -803,7 +803,7 @@ sparsevec_negative_inner_product(PG_FUNCTION_ARGS)
CheckDims(a, b);
PG_RETURN_FLOAT8(-SparsevecInnerProduct(a, b));
PG_RETURN_FLOAT8((double) -SparsevecInnerProduct(a, b));
}
/*
@@ -862,7 +862,7 @@ sparsevec_l1_distance(PG_FUNCTION_ARGS)
SparseVector *b = PG_GETARG_SPARSEVEC_P(1);
float *ax = SPARSEVEC_VALUES(a);
float *bx = SPARSEVEC_VALUES(b);
double distance = 0.0;
float distance = 0.0;
int bpos = 0;
CheckDims(a, b);
@@ -897,7 +897,7 @@ sparsevec_l1_distance(PG_FUNCTION_ARGS)
for (int j = bpos; j < b->nnz; j++)
distance += fabsf(bx[j]);
PG_RETURN_FLOAT8(distance);
PG_RETURN_FLOAT8((double) distance);
}
/*

View File

@@ -3,25 +3,38 @@
#include "fmgr.h"
#define SPARSEVEC_MAX_DIM 100000
#define SPARSEVEC_MAX_DIM 1000000
#define SPARSEVEC_MAX_NNZ 16000
/* Ensure values are aligned */
#define SPARSEVEC_SIZE(_nnz) (offsetof(SparseVector, indices) + MAXALIGN((_nnz) * sizeof(int32)) + (_nnz * sizeof(float)))
#define SPARSEVEC_VALUES(x) ((float *) (((char *) (x)) + offsetof(SparseVector, indices) + MAXALIGN((x)->nnz * sizeof(int32))))
#define DatumGetSparseVector(x) ((SparseVector *) PG_DETOAST_DATUM(x))
#define PG_GETARG_SPARSEVEC_P(x) DatumGetSparseVector(PG_GETARG_DATUM(x))
#define PG_RETURN_SPARSEVEC_P(x) PG_RETURN_POINTER(x)
/* Indices are always sorted */
/* Values come after indices */
typedef struct SparseVector
{
int32 vl_len_; /* varlena header (do not touch directly!) */
int32 dim; /* number of dimensions */
int32 nnz;
int32 nnz; /* number of non-zero elements */
int32 unused;
int32 indices[FLEXIBLE_ARRAY_MEMBER];
} SparseVector;
/* Use functions instead of macros to avoid double evaluation */
static inline Size
SPARSEVEC_SIZE(int nnz)
{
return offsetof(SparseVector, indices) + (nnz * sizeof(int32)) + (nnz * sizeof(float));
}
static inline float *
SPARSEVEC_VALUES(SparseVector * x)
{
return (float *) (((char *) x) + offsetof(SparseVector, indices) + (x->nnz * sizeof(int32)));
}
SparseVector *InitSparseVector(int dim, int nnz);
#endif

View File

@@ -176,6 +176,18 @@ SELECT l2_norm('[0,1]'::halfvec);
1
(1 row)
SELECT l2_norm('[0,0]'::halfvec);
l2_norm
---------
0
(1 row)
SELECT l2_norm('[2]'::halfvec);
l2_norm
---------
2
(1 row)
SELECT l2_distance('[0,0]'::halfvec, '[3,4]');
l2_distance
-------------

View File

@@ -136,6 +136,18 @@ SELECT l2_norm('{1:3e37,2:4e37}/2'::sparsevec)::real;
5e+37
(1 row)
SELECT l2_norm('{}/2'::sparsevec);
l2_norm
---------
0
(1 row)
SELECT l2_norm('{1:2}/1'::sparsevec);
l2_norm
---------
2
(1 row)
SELECT l2_distance('{}/2'::sparsevec, '{1:3,2:4}/2');
l2_distance
-------------
@@ -154,6 +166,12 @@ SELECT l2_distance('{2:4}/2'::sparsevec, '{1:3}/2');
5
(1 row)
SELECT l2_distance('{1:3,2:4}/2'::sparsevec, '{}/2');
l2_distance
-------------
5
(1 row)
SELECT l2_distance('{}/2'::sparsevec, '{2:1}/2');
l2_distance
-------------
@@ -174,6 +192,36 @@ SELECT inner_product('{1:1,2:2}/2'::sparsevec, '{1:2,2:4}/2');
SELECT inner_product('{1:1,2:2}/2'::sparsevec, '{1:3}/1');
ERROR: different sparsevec dimensions 2 and 1
SELECT inner_product('{1:1,3:3}/4'::sparsevec, '{2:2,4:4}/4');
inner_product
---------------
0
(1 row)
SELECT inner_product('{2:2,4:4}/4'::sparsevec, '{1:1,3:3}/4');
inner_product
---------------
0
(1 row)
SELECT inner_product('{1:1,3:3,5:5}/5'::sparsevec, '{2:4,3:6,4:8}/5');
inner_product
---------------
18
(1 row)
SELECT inner_product('{1:1}/2'::sparsevec, '{}/2');
inner_product
---------------
0
(1 row)
SELECT inner_product('{}/2'::sparsevec, '{1:1}/2');
inner_product
---------------
0
(1 row)
SELECT inner_product('{1:3e38}/1'::sparsevec, '{1:3e38}/1');
inner_product
---------------
@@ -228,6 +276,12 @@ SELECT cosine_distance('{1:2}/2'::sparsevec, '{2:2}/2');
1
(1 row)
SELECT cosine_distance('{2:2}/2'::sparsevec, '{1:2}/2');
cosine_distance
-----------------
1
(1 row)
SELECT cosine_distance('{1:1,2:2}/2'::sparsevec, '{1:3}/1');
ERROR: different sparsevec dimensions 2 and 1
SELECT cosine_distance('{1:1,2:1}/2'::sparsevec, '{1:1.1,2:1.1}/2');
@@ -292,6 +346,12 @@ SELECT l1_distance('{1:1,3:3,5:5,7:7,9:9}/9'::sparsevec, '{2:2,4:4,6:6,8:8}/9');
45
(1 row)
SELECT '{}/2'::sparsevec <+> '{1:3,2:4}/2';
?column?
----------
7
(1 row)
SELECT l2_normalize('{1:3,2:4}/2'::sparsevec);
l2_normalize
-----------------

View File

@@ -187,9 +187,9 @@ SELECT '{}/-1'::sparsevec;
ERROR: sparsevec must have at least 1 dimension
LINE 1: SELECT '{}/-1'::sparsevec;
^
SELECT '{}/100001'::sparsevec;
ERROR: sparsevec cannot have more than 100000 dimensions
LINE 1: SELECT '{}/100001'::sparsevec;
SELECT '{}/1000001'::sparsevec;
ERROR: sparsevec cannot have more than 1000000 dimensions
LINE 1: SELECT '{}/1000001'::sparsevec;
^
SELECT '{0:1}/1'::sparsevec;
ERROR: index "0" is out of range for type sparsevec
@@ -219,7 +219,7 @@ SELECT '{}/3'::sparsevec(0);
ERROR: dimensions for type sparsevec must be at least 1
LINE 1: SELECT '{}/3'::sparsevec(0);
^
SELECT '{}/3'::sparsevec(100001);
ERROR: dimensions for type sparsevec cannot exceed 100000
LINE 1: SELECT '{}/3'::sparsevec(100001);
SELECT '{}/3'::sparsevec(1000001);
ERROR: dimensions for type sparsevec cannot exceed 1000000
LINE 1: SELECT '{}/3'::sparsevec(1000001);
^

View File

@@ -182,6 +182,18 @@ SELECT vector_norm('[3e37,4e37]')::real;
5e+37
(1 row)
SELECT vector_norm('[0,0]');
vector_norm
-------------
0
(1 row)
SELECT vector_norm('[2]');
vector_norm
-------------
2
(1 row)
SELECT l2_distance('[0,0]'::vector, '[3,4]');
l2_distance
-------------

View File

@@ -40,6 +40,8 @@ SELECT vector_dims('[1,2,3]'::halfvec);
SELECT round(l2_norm('[1,1]'::halfvec)::numeric, 5);
SELECT l2_norm('[3,4]'::halfvec);
SELECT l2_norm('[0,1]'::halfvec);
SELECT l2_norm('[0,0]'::halfvec);
SELECT l2_norm('[2]'::halfvec);
SELECT l2_distance('[0,0]'::halfvec, '[3,4]');
SELECT l2_distance('[0,0]'::halfvec, '[0,1]');

View File

@@ -23,15 +23,23 @@ SELECT round(l2_norm('{1:1,2:1}/2'::sparsevec)::numeric, 5);
SELECT l2_norm('{1:3,2:4}/2'::sparsevec);
SELECT l2_norm('{2:1}/2'::sparsevec);
SELECT l2_norm('{1:3e37,2:4e37}/2'::sparsevec)::real;
SELECT l2_norm('{}/2'::sparsevec);
SELECT l2_norm('{1:2}/1'::sparsevec);
SELECT l2_distance('{}/2'::sparsevec, '{1:3,2:4}/2');
SELECT l2_distance('{1:3}/2'::sparsevec, '{2:4}/2');
SELECT l2_distance('{2:4}/2'::sparsevec, '{1:3}/2');
SELECT l2_distance('{1:3,2:4}/2'::sparsevec, '{}/2');
SELECT l2_distance('{}/2'::sparsevec, '{2:1}/2');
SELECT '{}/2'::sparsevec <-> '{1:3,2:4}/2';
SELECT inner_product('{1:1,2:2}/2'::sparsevec, '{1:2,2:4}/2');
SELECT inner_product('{1:1,2:2}/2'::sparsevec, '{1:3}/1');
SELECT inner_product('{1:1,3:3}/4'::sparsevec, '{2:2,4:4}/4');
SELECT inner_product('{2:2,4:4}/4'::sparsevec, '{1:1,3:3}/4');
SELECT inner_product('{1:1,3:3,5:5}/5'::sparsevec, '{2:4,3:6,4:8}/5');
SELECT inner_product('{1:1}/2'::sparsevec, '{}/2');
SELECT inner_product('{}/2'::sparsevec, '{1:1}/2');
SELECT inner_product('{1:3e38}/1'::sparsevec, '{1:3e38}/1');
SELECT inner_product('{1:1,3:3,5:5}/5'::sparsevec, '{2:4,3:6,4:8}/5');
SELECT '{1:1,2:2}/2'::sparsevec <#> '{1:3,2:4}/2';
@@ -42,6 +50,7 @@ SELECT cosine_distance('{1:1,2:1}/2'::sparsevec, '{1:1,2:1}/2');
SELECT cosine_distance('{1:1}/2'::sparsevec, '{2:2}/2');
SELECT cosine_distance('{1:1,2:1}/2'::sparsevec, '{1:-1,2:-1}/2');
SELECT cosine_distance('{1:2}/2'::sparsevec, '{2:2}/2');
SELECT cosine_distance('{2:2}/2'::sparsevec, '{1:2}/2');
SELECT cosine_distance('{1:1,2:2}/2'::sparsevec, '{1:3}/1');
SELECT cosine_distance('{1:1,2:1}/2'::sparsevec, '{1:1.1,2:1.1}/2');
SELECT cosine_distance('{1:1,2:1}/2'::sparsevec, '{1:-1.1,2:-1.1}/2');
@@ -55,6 +64,7 @@ SELECT l1_distance('{1:1,2:2}/2'::sparsevec, '{1:3}/1');
SELECT l1_distance('{1:3e38}/1'::sparsevec, '{1:-3e38}/1');
SELECT l1_distance('{1:1,3:3,5:5,7:7}/8'::sparsevec, '{2:2,4:4,6:6,8:8}/8');
SELECT l1_distance('{1:1,3:3,5:5,7:7,9:9}/9'::sparsevec, '{2:2,4:4,6:6,8:8}/9');
SELECT '{}/2'::sparsevec <+> '{1:3,2:4}/2';
SELECT l2_normalize('{1:3,2:4}/2'::sparsevec);
SELECT l2_normalize('{1:3}/2'::sparsevec);

View File

@@ -38,7 +38,7 @@ SELECT '{1:1,1:1}/2'::sparsevec;
SELECT '{1:1,2:1,1:1}/2'::sparsevec;
SELECT '{}/5'::sparsevec;
SELECT '{}/-1'::sparsevec;
SELECT '{}/100001'::sparsevec;
SELECT '{}/1000001'::sparsevec;
SELECT '{0:1}/1'::sparsevec;
SELECT '{2:1}/1'::sparsevec;
@@ -47,4 +47,4 @@ SELECT '{}/3'::sparsevec(2);
SELECT '{}/3'::sparsevec(3, 2);
SELECT '{}/3'::sparsevec('a');
SELECT '{}/3'::sparsevec(0);
SELECT '{}/3'::sparsevec(100001);
SELECT '{}/3'::sparsevec(1000001);

View File

@@ -41,6 +41,8 @@ SELECT round(vector_norm('[1,1]')::numeric, 5);
SELECT vector_norm('[3,4]');
SELECT vector_norm('[0,1]');
SELECT vector_norm('[3e37,4e37]')::real;
SELECT vector_norm('[0,0]');
SELECT vector_norm('[2]');
SELECT l2_distance('[0,0]'::vector, '[3,4]');
SELECT l2_distance('[0,0]'::vector, '[0,1]');