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-rw-r--r--contrib/cube/.gitignore6
-rw-r--r--contrib/cube/CHANGES130
-rw-r--r--contrib/cube/Makefile40
-rw-r--r--contrib/cube/cube--1.0--1.1.sql59
-rw-r--r--contrib/cube/cube--1.1--1.2.sql75
-rw-r--r--contrib/cube/cube--1.2--1.3.sql12
-rw-r--r--contrib/cube/cube--1.2.sql378
-rw-r--r--contrib/cube/cube--1.3--1.4.sql58
-rw-r--r--contrib/cube/cube--1.4--1.5.sql21
-rw-r--r--contrib/cube/cube.c1908
-rw-r--r--contrib/cube/cube.control6
-rw-r--r--contrib/cube/cubedata.h69
-rw-r--r--contrib/cube/cubeparse.c1591
-rw-r--r--contrib/cube/cubeparse.y269
-rw-r--r--contrib/cube/cubescan.c2115
-rw-r--r--contrib/cube/cubescan.l121
-rw-r--r--contrib/cube/data/test_cube.data3100
-rw-r--r--contrib/cube/expected/cube.out1950
-rw-r--r--contrib/cube/expected/cube_sci.out106
-rw-r--r--contrib/cube/sql/cube.sql432
-rw-r--r--contrib/cube/sql/cube_sci.sql22
21 files changed, 12468 insertions, 0 deletions
diff --git a/contrib/cube/.gitignore b/contrib/cube/.gitignore
new file mode 100644
index 0000000..cb4c989
--- /dev/null
+++ b/contrib/cube/.gitignore
@@ -0,0 +1,6 @@
+/cubeparse.c
+/cubescan.c
+# Generated subdirectories
+/log/
+/results/
+/tmp_check/
diff --git a/contrib/cube/CHANGES b/contrib/cube/CHANGES
new file mode 100644
index 0000000..7c5590c
--- /dev/null
+++ b/contrib/cube/CHANGES
@@ -0,0 +1,130 @@
+********************************************************************************
+Changes that were made in July 2006 by Joshua Reich I.
+********************************************************************************
+
+Code Cleanup:
+
+Update the calling convention for all external facing functions. By external
+facing, I mean all functions that are directly referenced in cube.sql. Prior
+to my update, all functions used the older V0 calling convention. They now
+use V1.
+
+New Functions:
+
+cube(float[]), which makes a zero volume cube from a float array
+
+cube(float[], float[]), which allows the user to create a cube from
+two float arrays; one for the upper right and one for the lower left
+coordinate.
+
+cube_subset(cube, int4[]), to allow you to reorder or choose a subset of
+dimensions from a cube, using index values specified in the array.
+
+********************************************************************************
+Changes that were made in August/September 2002 by Bruno Wolff III.
+********************************************************************************
+
+Note that this was based on a 7.3 development version and changes may not
+directly work with earlier versions.
+
+I fixed a bug in cubescan.pl that prevented signed numbers with no digits
+before a decimal point from being accepted. This was submitted as a separate
+patch and may already be applied.
+
+cube_inter should really return NULL if the two cubes don't overlap. However
+this requires changing to the new calling sequence and I don't know enough
+about how to do it to make the change.
+
+I changed all floats to doubles except for g_cube_penalty which I don't
+think can be changed to return double. This might cause the penalty to
+overflow sooner than one might expect, but overflow could have happened
+even with floats.
+
+I changed the output format (in cube_out) to use %.16g instead of %g, since the
+default is only 6 digits of precision.
+
+I changed all of the functions declared with (isstrict) to use the current
+method of declaring this.
+
+I changed all of the externally visible functions to be immutable which
+they are. I don't think this matters for the gist functions and didn't
+try to declare them immutable in case there was something tricky about them
+that I don't understand.
+
+I changed the regression tests to use some larger exponents to test output
+in exponential form. 1e7 was too small for this.
+
+I added some regression tests to check for 16 digits of precision. This
+may or may not be a good idea.
+
+I got rid of the swap_corners function. It created scratch boxes that
+were iterated through and deleted. This is slower than just getting the
+larger or smaller coordinate as needed, since swap_corners was doing the
+same thing with the overhead of a function call and memory allocation.
+
+I added memset calls to zero out newly allocated NDBOXes as the documentation
+on functions indicates should be done. This still doesn't allow a hash
+index for equality since there are multiple representations of the
+same cube.
+
+I got rid of a call to cube_same in cube_lt and cube_gt since the test
+was redundant with other checks being made. The call to cube_same would
+only be faster if most of the time you were comparing equivalent cubes.
+
+In cube_lt and cube_gt, the second (UR) for loop for comparing
+extra coordinates to 0 had the wrong range.
+
+Note that the cube_distance function wasn't mentioned in the README.cube file.
+
+I added regression tests for the cube_distance function.
+
+I added the following new functions:
+cube
+cube_dim
+cube_ll_coord
+cube_ur_coord
+cube_is_point
+cube_enlarge
+
+cube takes text input and returns a cube. This is useful for making cubes
+from computed strings.
+
+cube_dim returns the number of dimensions stored in the data structure
+for a cube. This is useful for constraints on the dimensions of a cube.
+
+cube_ll_coord returns the nth coordinate value for the lower left corner
+of a cube. This is useful for doing coordinate transformations.
+
+cube_ur_coord returns the nth coordinate value for the upper right corner
+of a cube. This is useful for doing coordinate transformations.
+
+cube_is_point returns true if a cube is also a point. This is true when the
+two defining corners are the same.
+
+cube_enlarge increases the size of a cube by a specified radius in at least
+n dimensions. If the radius is negative the box is shrunk instead. This
+is useful for creating bounding boxes around a point for searching for
+nearby points. All defined dimensions are changed by the radius. If n
+is greater than the number of defined dimensions and the cube is being
+increased (r >= 0) then 0 is used as the base for the extra coordinates.
+LL coordinates are decreased by r and UR coordinates are increased by r. If a
+LL coordinate is increased to larger than the corresponding UR coordinate
+(this can only happen when r < 0) than both coordinates are set to their
+average.
+
+I added regression tests for the new functions.
+
+I added documentation for cube_distance and the new functions to README.cube
+as well as making a few other minor changes.
+
+I changed create function to create or replace function in the install
+script.
+
+I limited the number of dimensions allowed in cube_enlarge and cube_in
+to 100 to make it harder for people to mess up the database. The constant
+is defined in cubedata.h and can be increased if you need something larger.
+
+I added grant statements to the install script to make the functions
+executable to everyone.
+
+Bruno Wolff III <bruno@wolff.to>
diff --git a/contrib/cube/Makefile b/contrib/cube/Makefile
new file mode 100644
index 0000000..cf19550
--- /dev/null
+++ b/contrib/cube/Makefile
@@ -0,0 +1,40 @@
+# contrib/cube/Makefile
+
+MODULE_big = cube
+OBJS = \
+ $(WIN32RES) \
+ cube.o \
+ cubeparse.o
+
+EXTENSION = cube
+DATA = cube--1.2.sql cube--1.2--1.3.sql cube--1.3--1.4.sql cube--1.4--1.5.sql \
+ cube--1.1--1.2.sql cube--1.0--1.1.sql
+PGFILEDESC = "cube - multidimensional cube data type"
+
+HEADERS = cubedata.h
+
+REGRESS = cube cube_sci
+
+EXTRA_CLEAN = y.tab.c y.tab.h
+
+SHLIB_LINK += $(filter -lm, $(LIBS))
+
+ifdef USE_PGXS
+PG_CONFIG = pg_config
+PGXS := $(shell $(PG_CONFIG) --pgxs)
+include $(PGXS)
+else
+subdir = contrib/cube
+top_builddir = ../..
+include $(top_builddir)/src/Makefile.global
+include $(top_srcdir)/contrib/contrib-global.mk
+endif
+
+
+# cubescan is compiled as part of cubeparse
+cubeparse.o: cubescan.c
+
+distprep: cubeparse.c cubescan.c
+
+maintainer-clean:
+ rm -f cubeparse.c cubescan.c
diff --git a/contrib/cube/cube--1.0--1.1.sql b/contrib/cube/cube--1.0--1.1.sql
new file mode 100644
index 0000000..fbe61e7
--- /dev/null
+++ b/contrib/cube/cube--1.0--1.1.sql
@@ -0,0 +1,59 @@
+/* contrib/cube/cube--1.0--1.1.sql */
+
+-- complain if script is sourced in psql, rather than via ALTER EXTENSION
+\echo Use "ALTER EXTENSION cube UPDATE TO '1.1'" to load this file. \quit
+
+CREATE FUNCTION distance_chebyshev(cube, cube)
+RETURNS float8
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT;
+
+CREATE FUNCTION distance_taxicab(cube, cube)
+RETURNS float8
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT;
+
+CREATE FUNCTION cube_coord(cube, int4)
+RETURNS float8
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT;
+
+CREATE FUNCTION cube_coord_llur(cube, int4)
+RETURNS float8
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT;
+
+CREATE OPERATOR -> (
+ LEFTARG = cube, RIGHTARG = int, PROCEDURE = cube_coord
+);
+
+CREATE OPERATOR ~> (
+ LEFTARG = cube, RIGHTARG = int, PROCEDURE = cube_coord_llur
+);
+
+CREATE OPERATOR <#> (
+ LEFTARG = cube, RIGHTARG = cube, PROCEDURE = distance_taxicab,
+ COMMUTATOR = '<#>'
+);
+
+CREATE OPERATOR <-> (
+ LEFTARG = cube, RIGHTARG = cube, PROCEDURE = cube_distance,
+ COMMUTATOR = '<->'
+);
+
+CREATE OPERATOR <=> (
+ LEFTARG = cube, RIGHTARG = cube, PROCEDURE = distance_chebyshev,
+ COMMUTATOR = '<=>'
+);
+
+CREATE FUNCTION g_cube_distance (internal, cube, smallint, oid)
+RETURNS internal
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT;
+
+ALTER OPERATOR FAMILY gist_cube_ops USING gist ADD
+ OPERATOR 15 ~> (cube, int) FOR ORDER BY float_ops,
+ OPERATOR 16 <#> (cube, cube) FOR ORDER BY float_ops,
+ OPERATOR 17 <-> (cube, cube) FOR ORDER BY float_ops,
+ OPERATOR 18 <=> (cube, cube) FOR ORDER BY float_ops,
+ FUNCTION 8 (cube, cube) g_cube_distance (internal, cube, smallint, oid);
diff --git a/contrib/cube/cube--1.1--1.2.sql b/contrib/cube/cube--1.1--1.2.sql
new file mode 100644
index 0000000..76aba23
--- /dev/null
+++ b/contrib/cube/cube--1.1--1.2.sql
@@ -0,0 +1,75 @@
+/* contrib/cube/cube--1.1--1.2.sql */
+
+-- complain if script is sourced in psql, rather than via ALTER EXTENSION
+\echo Use "ALTER EXTENSION cube UPDATE TO '1.2'" to load this file. \quit
+
+-- Update procedure signatures the hard way.
+-- We use to_regprocedure() so that query doesn't fail if run against 9.6beta1 definitions,
+-- wherein the signatures have been updated already. In that case to_regprocedure() will
+-- return NULL and no updates will happen.
+DO LANGUAGE plpgsql
+$$
+DECLARE
+ my_schema pg_catalog.text := pg_catalog.quote_ident(pg_catalog.current_schema());
+ old_path pg_catalog.text := pg_catalog.current_setting('search_path');
+BEGIN
+-- for safety, transiently set search_path to just pg_catalog+pg_temp
+PERFORM pg_catalog.set_config('search_path', 'pg_catalog, pg_temp', true);
+
+UPDATE pg_catalog.pg_proc SET
+ proargtypes = pg_catalog.array_to_string(newtypes::pg_catalog.oid[], ' ')::pg_catalog.oidvector,
+ pronargs = pg_catalog.array_length(newtypes, 1)
+FROM (VALUES
+(NULL::pg_catalog.text, NULL::pg_catalog.text[]), -- establish column types
+('g_cube_consistent(internal,SCH.cube,int4,oid,internal)', '{internal,SCH.cube,int2,oid,internal}'),
+('g_cube_distance(internal,SCH.cube,smallint,oid)', '{internal,SCH.cube,smallint,oid,internal}')
+) AS update_data (oldproc, newtypestext),
+LATERAL (
+ SELECT array_agg(replace(typ, 'SCH', my_schema)::regtype) as newtypes FROM unnest(newtypestext) typ
+) ls
+WHERE oid = to_regprocedure(my_schema || '.' || replace(oldproc, 'SCH', my_schema));
+
+PERFORM pg_catalog.set_config('search_path', old_path, true);
+END
+$$;
+
+ALTER FUNCTION cube_in(cstring) PARALLEL SAFE;
+ALTER FUNCTION cube(float8[], float8[]) PARALLEL SAFE;
+ALTER FUNCTION cube(float8[]) PARALLEL SAFE;
+ALTER FUNCTION cube_out(cube) PARALLEL SAFE;
+ALTER FUNCTION cube_eq(cube, cube) PARALLEL SAFE;
+ALTER FUNCTION cube_ne(cube, cube) PARALLEL SAFE;
+ALTER FUNCTION cube_lt(cube, cube) PARALLEL SAFE;
+ALTER FUNCTION cube_gt(cube, cube) PARALLEL SAFE;
+ALTER FUNCTION cube_le(cube, cube) PARALLEL SAFE;
+ALTER FUNCTION cube_ge(cube, cube) PARALLEL SAFE;
+ALTER FUNCTION cube_cmp(cube, cube) PARALLEL SAFE;
+ALTER FUNCTION cube_contains(cube, cube) PARALLEL SAFE;
+ALTER FUNCTION cube_contained(cube, cube) PARALLEL SAFE;
+ALTER FUNCTION cube_overlap(cube, cube) PARALLEL SAFE;
+ALTER FUNCTION cube_union(cube, cube) PARALLEL SAFE;
+ALTER FUNCTION cube_inter(cube, cube) PARALLEL SAFE;
+ALTER FUNCTION cube_size(cube) PARALLEL SAFE;
+ALTER FUNCTION cube_subset(cube, int4[]) PARALLEL SAFE;
+ALTER FUNCTION cube_distance(cube, cube) PARALLEL SAFE;
+ALTER FUNCTION distance_chebyshev(cube, cube) PARALLEL SAFE;
+ALTER FUNCTION distance_taxicab(cube, cube) PARALLEL SAFE;
+ALTER FUNCTION cube_dim(cube) PARALLEL SAFE;
+ALTER FUNCTION cube_ll_coord(cube, int4) PARALLEL SAFE;
+ALTER FUNCTION cube_ur_coord(cube, int4) PARALLEL SAFE;
+ALTER FUNCTION cube_coord(cube, int4) PARALLEL SAFE;
+ALTER FUNCTION cube_coord_llur(cube, int4) PARALLEL SAFE;
+ALTER FUNCTION cube(float8) PARALLEL SAFE;
+ALTER FUNCTION cube(float8, float8) PARALLEL SAFE;
+ALTER FUNCTION cube(cube, float8) PARALLEL SAFE;
+ALTER FUNCTION cube(cube, float8, float8) PARALLEL SAFE;
+ALTER FUNCTION cube_is_point(cube) PARALLEL SAFE;
+ALTER FUNCTION cube_enlarge(cube, float8, int4) PARALLEL SAFE;
+ALTER FUNCTION g_cube_consistent(internal, cube, smallint, oid, internal) PARALLEL SAFE;
+ALTER FUNCTION g_cube_compress(internal) PARALLEL SAFE;
+ALTER FUNCTION g_cube_decompress(internal) PARALLEL SAFE;
+ALTER FUNCTION g_cube_penalty(internal, internal, internal) PARALLEL SAFE;
+ALTER FUNCTION g_cube_picksplit(internal, internal) PARALLEL SAFE;
+ALTER FUNCTION g_cube_union(internal, internal) PARALLEL SAFE;
+ALTER FUNCTION g_cube_same(cube, cube, internal) PARALLEL SAFE;
+ALTER FUNCTION g_cube_distance(internal, cube, smallint, oid, internal) PARALLEL SAFE;
diff --git a/contrib/cube/cube--1.2--1.3.sql b/contrib/cube/cube--1.2--1.3.sql
new file mode 100644
index 0000000..a688f19
--- /dev/null
+++ b/contrib/cube/cube--1.2--1.3.sql
@@ -0,0 +1,12 @@
+/* contrib/cube/cube--1.2--1.3.sql */
+
+-- complain if script is sourced in psql, rather than via ALTER EXTENSION
+\echo Use "ALTER EXTENSION cube UPDATE TO '1.3'" to load this file. \quit
+
+ALTER OPERATOR <= (cube, cube) SET (
+ RESTRICT = scalarlesel, JOIN = scalarlejoinsel
+);
+
+ALTER OPERATOR >= (cube, cube) SET (
+ RESTRICT = scalargesel, JOIN = scalargejoinsel
+);
diff --git a/contrib/cube/cube--1.2.sql b/contrib/cube/cube--1.2.sql
new file mode 100644
index 0000000..dea2614
--- /dev/null
+++ b/contrib/cube/cube--1.2.sql
@@ -0,0 +1,378 @@
+/* contrib/cube/cube--1.2.sql */
+
+-- complain if script is sourced in psql, rather than via CREATE EXTENSION
+\echo Use "CREATE EXTENSION cube" to load this file. \quit
+
+-- Create the user-defined type for N-dimensional boxes
+
+CREATE FUNCTION cube_in(cstring)
+RETURNS cube
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION cube(float8[], float8[]) RETURNS cube
+AS 'MODULE_PATHNAME', 'cube_a_f8_f8'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION cube(float8[]) RETURNS cube
+AS 'MODULE_PATHNAME', 'cube_a_f8'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION cube_out(cube)
+RETURNS cstring
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE TYPE cube (
+ INTERNALLENGTH = variable,
+ INPUT = cube_in,
+ OUTPUT = cube_out,
+ ALIGNMENT = double
+);
+
+COMMENT ON TYPE cube IS 'multi-dimensional cube ''(FLOAT-1, FLOAT-2, ..., FLOAT-N), (FLOAT-1, FLOAT-2, ..., FLOAT-N)''';
+
+--
+-- External C-functions for R-tree methods
+--
+
+-- Comparison methods
+
+CREATE FUNCTION cube_eq(cube, cube)
+RETURNS bool
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+COMMENT ON FUNCTION cube_eq(cube, cube) IS 'same as';
+
+CREATE FUNCTION cube_ne(cube, cube)
+RETURNS bool
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+COMMENT ON FUNCTION cube_ne(cube, cube) IS 'different';
+
+CREATE FUNCTION cube_lt(cube, cube)
+RETURNS bool
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+COMMENT ON FUNCTION cube_lt(cube, cube) IS 'lower than';
+
+CREATE FUNCTION cube_gt(cube, cube)
+RETURNS bool
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+COMMENT ON FUNCTION cube_gt(cube, cube) IS 'greater than';
+
+CREATE FUNCTION cube_le(cube, cube)
+RETURNS bool
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+COMMENT ON FUNCTION cube_le(cube, cube) IS 'lower than or equal to';
+
+CREATE FUNCTION cube_ge(cube, cube)
+RETURNS bool
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+COMMENT ON FUNCTION cube_ge(cube, cube) IS 'greater than or equal to';
+
+CREATE FUNCTION cube_cmp(cube, cube)
+RETURNS int4
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+COMMENT ON FUNCTION cube_cmp(cube, cube) IS 'btree comparison function';
+
+CREATE FUNCTION cube_contains(cube, cube)
+RETURNS bool
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+COMMENT ON FUNCTION cube_contains(cube, cube) IS 'contains';
+
+CREATE FUNCTION cube_contained(cube, cube)
+RETURNS bool
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+COMMENT ON FUNCTION cube_contained(cube, cube) IS 'contained in';
+
+CREATE FUNCTION cube_overlap(cube, cube)
+RETURNS bool
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+COMMENT ON FUNCTION cube_overlap(cube, cube) IS 'overlaps';
+
+-- support routines for indexing
+
+CREATE FUNCTION cube_union(cube, cube)
+RETURNS cube
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION cube_inter(cube, cube)
+RETURNS cube
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION cube_size(cube)
+RETURNS float8
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+
+-- Misc N-dimensional functions
+
+CREATE FUNCTION cube_subset(cube, int4[])
+RETURNS cube
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+-- proximity routines
+
+CREATE FUNCTION cube_distance(cube, cube)
+RETURNS float8
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION distance_chebyshev(cube, cube)
+RETURNS float8
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION distance_taxicab(cube, cube)
+RETURNS float8
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+-- Extracting elements functions
+
+CREATE FUNCTION cube_dim(cube)
+RETURNS int4
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION cube_ll_coord(cube, int4)
+RETURNS float8
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION cube_ur_coord(cube, int4)
+RETURNS float8
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION cube_coord(cube, int4)
+RETURNS float8
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION cube_coord_llur(cube, int4)
+RETURNS float8
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION cube(float8) RETURNS cube
+AS 'MODULE_PATHNAME', 'cube_f8'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION cube(float8, float8) RETURNS cube
+AS 'MODULE_PATHNAME', 'cube_f8_f8'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION cube(cube, float8) RETURNS cube
+AS 'MODULE_PATHNAME', 'cube_c_f8'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION cube(cube, float8, float8) RETURNS cube
+AS 'MODULE_PATHNAME', 'cube_c_f8_f8'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+-- Test if cube is also a point
+
+CREATE FUNCTION cube_is_point(cube)
+RETURNS bool
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+-- Increasing the size of a cube by a radius in at least n dimensions
+
+CREATE FUNCTION cube_enlarge(cube, float8, int4)
+RETURNS cube
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+--
+-- OPERATORS
+--
+
+CREATE OPERATOR < (
+ LEFTARG = cube, RIGHTARG = cube, PROCEDURE = cube_lt,
+ COMMUTATOR = '>', NEGATOR = '>=',
+ RESTRICT = scalarltsel, JOIN = scalarltjoinsel
+);
+
+CREATE OPERATOR > (
+ LEFTARG = cube, RIGHTARG = cube, PROCEDURE = cube_gt,
+ COMMUTATOR = '<', NEGATOR = '<=',
+ RESTRICT = scalargtsel, JOIN = scalargtjoinsel
+);
+
+CREATE OPERATOR <= (
+ LEFTARG = cube, RIGHTARG = cube, PROCEDURE = cube_le,
+ COMMUTATOR = '>=', NEGATOR = '>',
+ RESTRICT = scalarltsel, JOIN = scalarltjoinsel
+);
+
+CREATE OPERATOR >= (
+ LEFTARG = cube, RIGHTARG = cube, PROCEDURE = cube_ge,
+ COMMUTATOR = '<=', NEGATOR = '<',
+ RESTRICT = scalargtsel, JOIN = scalargtjoinsel
+);
+
+CREATE OPERATOR && (
+ LEFTARG = cube, RIGHTARG = cube, PROCEDURE = cube_overlap,
+ COMMUTATOR = '&&',
+ RESTRICT = areasel, JOIN = areajoinsel
+);
+
+CREATE OPERATOR = (
+ LEFTARG = cube, RIGHTARG = cube, PROCEDURE = cube_eq,
+ COMMUTATOR = '=', NEGATOR = '<>',
+ RESTRICT = eqsel, JOIN = eqjoinsel,
+ MERGES
+);
+
+CREATE OPERATOR <> (
+ LEFTARG = cube, RIGHTARG = cube, PROCEDURE = cube_ne,
+ COMMUTATOR = '<>', NEGATOR = '=',
+ RESTRICT = neqsel, JOIN = neqjoinsel
+);
+
+CREATE OPERATOR @> (
+ LEFTARG = cube, RIGHTARG = cube, PROCEDURE = cube_contains,
+ COMMUTATOR = '<@',
+ RESTRICT = contsel, JOIN = contjoinsel
+);
+
+CREATE OPERATOR <@ (
+ LEFTARG = cube, RIGHTARG = cube, PROCEDURE = cube_contained,
+ COMMUTATOR = '@>',
+ RESTRICT = contsel, JOIN = contjoinsel
+);
+
+CREATE OPERATOR -> (
+ LEFTARG = cube, RIGHTARG = int, PROCEDURE = cube_coord
+);
+
+CREATE OPERATOR ~> (
+ LEFTARG = cube, RIGHTARG = int, PROCEDURE = cube_coord_llur
+);
+
+CREATE OPERATOR <#> (
+ LEFTARG = cube, RIGHTARG = cube, PROCEDURE = distance_taxicab,
+ COMMUTATOR = '<#>'
+);
+
+CREATE OPERATOR <-> (
+ LEFTARG = cube, RIGHTARG = cube, PROCEDURE = cube_distance,
+ COMMUTATOR = '<->'
+);
+
+CREATE OPERATOR <=> (
+ LEFTARG = cube, RIGHTARG = cube, PROCEDURE = distance_chebyshev,
+ COMMUTATOR = '<=>'
+);
+
+-- these are obsolete/deprecated:
+CREATE OPERATOR @ (
+ LEFTARG = cube, RIGHTARG = cube, PROCEDURE = cube_contains,
+ COMMUTATOR = '~',
+ RESTRICT = contsel, JOIN = contjoinsel
+);
+
+CREATE OPERATOR ~ (
+ LEFTARG = cube, RIGHTARG = cube, PROCEDURE = cube_contained,
+ COMMUTATOR = '@',
+ RESTRICT = contsel, JOIN = contjoinsel
+);
+
+
+-- define the GiST support methods
+CREATE FUNCTION g_cube_consistent(internal,cube,smallint,oid,internal)
+RETURNS bool
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION g_cube_compress(internal)
+RETURNS internal
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION g_cube_decompress(internal)
+RETURNS internal
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION g_cube_penalty(internal,internal,internal)
+RETURNS internal
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION g_cube_picksplit(internal, internal)
+RETURNS internal
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION g_cube_union(internal, internal)
+RETURNS cube
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION g_cube_same(cube, cube, internal)
+RETURNS internal
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION g_cube_distance (internal, cube, smallint, oid, internal)
+RETURNS float8
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+-- Create the operator classes for indexing
+
+CREATE OPERATOR CLASS cube_ops
+ DEFAULT FOR TYPE cube USING btree AS
+ OPERATOR 1 < ,
+ OPERATOR 2 <= ,
+ OPERATOR 3 = ,
+ OPERATOR 4 >= ,
+ OPERATOR 5 > ,
+ FUNCTION 1 cube_cmp(cube, cube);
+
+CREATE OPERATOR CLASS gist_cube_ops
+ DEFAULT FOR TYPE cube USING gist AS
+ OPERATOR 3 && ,
+ OPERATOR 6 = ,
+ OPERATOR 7 @> ,
+ OPERATOR 8 <@ ,
+ OPERATOR 13 @ ,
+ OPERATOR 14 ~ ,
+ OPERATOR 15 ~> (cube, int) FOR ORDER BY float_ops,
+ OPERATOR 16 <#> (cube, cube) FOR ORDER BY float_ops,
+ OPERATOR 17 <-> (cube, cube) FOR ORDER BY float_ops,
+ OPERATOR 18 <=> (cube, cube) FOR ORDER BY float_ops,
+
+ FUNCTION 1 g_cube_consistent (internal, cube, smallint, oid, internal),
+ FUNCTION 2 g_cube_union (internal, internal),
+ FUNCTION 3 g_cube_compress (internal),
+ FUNCTION 4 g_cube_decompress (internal),
+ FUNCTION 5 g_cube_penalty (internal, internal, internal),
+ FUNCTION 6 g_cube_picksplit (internal, internal),
+ FUNCTION 7 g_cube_same (cube, cube, internal),
+ FUNCTION 8 g_cube_distance (internal, cube, smallint, oid, internal);
diff --git a/contrib/cube/cube--1.3--1.4.sql b/contrib/cube/cube--1.3--1.4.sql
new file mode 100644
index 0000000..4162939
--- /dev/null
+++ b/contrib/cube/cube--1.3--1.4.sql
@@ -0,0 +1,58 @@
+/* contrib/cube/cube--1.3--1.4.sql */
+
+-- complain if script is sourced in psql, rather than via ALTER EXTENSION
+\echo Use "ALTER EXTENSION cube UPDATE TO '1.4'" to load this file. \quit
+
+--
+-- Get rid of unnecessary compress and decompress support functions.
+--
+-- To be allowed to drop the opclass entry for a support function,
+-- we must change the entry's dependency type from 'internal' to 'auto',
+-- as though it were a loose member of the opfamily rather than being
+-- bound into a particular opclass. There's no SQL command for that,
+-- so fake it with a manual update on pg_depend.
+--
+DO LANGUAGE plpgsql
+$$
+DECLARE
+ my_schema pg_catalog.text := pg_catalog.quote_ident(pg_catalog.current_schema());
+ old_path pg_catalog.text := pg_catalog.current_setting('search_path');
+BEGIN
+-- for safety, transiently set search_path to just pg_catalog+pg_temp
+PERFORM pg_catalog.set_config('search_path', 'pg_catalog, pg_temp', true);
+
+UPDATE pg_catalog.pg_depend
+SET deptype = 'a'
+WHERE classid = 'pg_catalog.pg_amproc'::pg_catalog.regclass
+ AND objid =
+ (SELECT objid
+ FROM pg_catalog.pg_depend
+ WHERE classid = 'pg_catalog.pg_amproc'::pg_catalog.regclass
+ AND refclassid = 'pg_catalog.pg_proc'::pg_catalog.regclass
+ AND (refobjid = (my_schema || '.g_cube_compress(pg_catalog.internal)')::pg_catalog.regprocedure))
+ AND refclassid = 'pg_catalog.pg_opclass'::pg_catalog.regclass
+ AND deptype = 'i';
+
+UPDATE pg_catalog.pg_depend
+SET deptype = 'a'
+WHERE classid = 'pg_catalog.pg_amproc'::pg_catalog.regclass
+ AND objid =
+ (SELECT objid
+ FROM pg_catalog.pg_depend
+ WHERE classid = 'pg_catalog.pg_amproc'::pg_catalog.regclass
+ AND refclassid = 'pg_catalog.pg_proc'::pg_catalog.regclass
+ AND (refobjid = (my_schema || '.g_cube_decompress(pg_catalog.internal)')::pg_catalog.regprocedure))
+ AND refclassid = 'pg_catalog.pg_opclass'::pg_catalog.regclass
+ AND deptype = 'i';
+
+PERFORM pg_catalog.set_config('search_path', old_path, true);
+END
+$$;
+
+ALTER OPERATOR FAMILY gist_cube_ops USING gist drop function 3 (cube);
+ALTER EXTENSION cube DROP function g_cube_compress(pg_catalog.internal);
+DROP FUNCTION g_cube_compress(pg_catalog.internal);
+
+ALTER OPERATOR FAMILY gist_cube_ops USING gist drop function 4 (cube);
+ALTER EXTENSION cube DROP function g_cube_decompress(pg_catalog.internal);
+DROP FUNCTION g_cube_decompress(pg_catalog.internal);
diff --git a/contrib/cube/cube--1.4--1.5.sql b/contrib/cube/cube--1.4--1.5.sql
new file mode 100644
index 0000000..4b5bf8d
--- /dev/null
+++ b/contrib/cube/cube--1.4--1.5.sql
@@ -0,0 +1,21 @@
+/* contrib/cube/cube--1.4--1.5.sql */
+
+-- complain if script is sourced in psql, rather than via ALTER EXTENSION
+\echo Use "ALTER EXTENSION cube UPDATE TO '1.5'" to load this file. \quit
+
+-- Remove @ and ~
+DROP OPERATOR @ (cube, cube);
+DROP OPERATOR ~ (cube, cube);
+
+-- Add binary input/output handlers
+CREATE FUNCTION cube_recv(internal)
+RETURNS cube
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+CREATE FUNCTION cube_send(cube)
+RETURNS bytea
+AS 'MODULE_PATHNAME'
+LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE;
+
+ALTER TYPE cube SET ( RECEIVE = cube_recv, SEND = cube_send );
diff --git a/contrib/cube/cube.c b/contrib/cube/cube.c
new file mode 100644
index 0000000..a5d1ba6
--- /dev/null
+++ b/contrib/cube/cube.c
@@ -0,0 +1,1908 @@
+/******************************************************************************
+ contrib/cube/cube.c
+
+ This file contains routines that can be bound to a Postgres backend and
+ called by the backend in the process of processing queries. The calling
+ format for these routines is dictated by Postgres architecture.
+******************************************************************************/
+
+#include "postgres.h"
+
+#include <math.h>
+
+#include "access/gist.h"
+#include "access/stratnum.h"
+#include "cubedata.h"
+#include "libpq/pqformat.h"
+#include "utils/array.h"
+#include "utils/float.h"
+
+PG_MODULE_MAGIC;
+
+/*
+ * Taken from the intarray contrib header
+ */
+#define ARRPTR(x) ( (double *) ARR_DATA_PTR(x) )
+#define ARRNELEMS(x) ArrayGetNItems( ARR_NDIM(x), ARR_DIMS(x))
+
+/*
+** Input/Output routines
+*/
+PG_FUNCTION_INFO_V1(cube_in);
+PG_FUNCTION_INFO_V1(cube_a_f8_f8);
+PG_FUNCTION_INFO_V1(cube_a_f8);
+PG_FUNCTION_INFO_V1(cube_out);
+PG_FUNCTION_INFO_V1(cube_send);
+PG_FUNCTION_INFO_V1(cube_recv);
+PG_FUNCTION_INFO_V1(cube_f8);
+PG_FUNCTION_INFO_V1(cube_f8_f8);
+PG_FUNCTION_INFO_V1(cube_c_f8);
+PG_FUNCTION_INFO_V1(cube_c_f8_f8);
+PG_FUNCTION_INFO_V1(cube_dim);
+PG_FUNCTION_INFO_V1(cube_ll_coord);
+PG_FUNCTION_INFO_V1(cube_ur_coord);
+PG_FUNCTION_INFO_V1(cube_coord);
+PG_FUNCTION_INFO_V1(cube_coord_llur);
+PG_FUNCTION_INFO_V1(cube_subset);
+
+/*
+** GiST support methods
+*/
+
+PG_FUNCTION_INFO_V1(g_cube_consistent);
+PG_FUNCTION_INFO_V1(g_cube_compress);
+PG_FUNCTION_INFO_V1(g_cube_decompress);
+PG_FUNCTION_INFO_V1(g_cube_penalty);
+PG_FUNCTION_INFO_V1(g_cube_picksplit);
+PG_FUNCTION_INFO_V1(g_cube_union);
+PG_FUNCTION_INFO_V1(g_cube_same);
+PG_FUNCTION_INFO_V1(g_cube_distance);
+
+/*
+** B-tree support functions
+*/
+PG_FUNCTION_INFO_V1(cube_eq);
+PG_FUNCTION_INFO_V1(cube_ne);
+PG_FUNCTION_INFO_V1(cube_lt);
+PG_FUNCTION_INFO_V1(cube_gt);
+PG_FUNCTION_INFO_V1(cube_le);
+PG_FUNCTION_INFO_V1(cube_ge);
+PG_FUNCTION_INFO_V1(cube_cmp);
+
+/*
+** R-tree support functions
+*/
+
+PG_FUNCTION_INFO_V1(cube_contains);
+PG_FUNCTION_INFO_V1(cube_contained);
+PG_FUNCTION_INFO_V1(cube_overlap);
+PG_FUNCTION_INFO_V1(cube_union);
+PG_FUNCTION_INFO_V1(cube_inter);
+PG_FUNCTION_INFO_V1(cube_size);
+
+/*
+** miscellaneous
+*/
+PG_FUNCTION_INFO_V1(distance_taxicab);
+PG_FUNCTION_INFO_V1(cube_distance);
+PG_FUNCTION_INFO_V1(distance_chebyshev);
+PG_FUNCTION_INFO_V1(cube_is_point);
+PG_FUNCTION_INFO_V1(cube_enlarge);
+
+/*
+** For internal use only
+*/
+int32 cube_cmp_v0(NDBOX *a, NDBOX *b);
+bool cube_contains_v0(NDBOX *a, NDBOX *b);
+bool cube_overlap_v0(NDBOX *a, NDBOX *b);
+NDBOX *cube_union_v0(NDBOX *a, NDBOX *b);
+void rt_cube_size(NDBOX *a, double *sz);
+NDBOX *g_cube_binary_union(NDBOX *r1, NDBOX *r2, int *sizep);
+bool g_cube_leaf_consistent(NDBOX *key, NDBOX *query, StrategyNumber strategy);
+bool g_cube_internal_consistent(NDBOX *key, NDBOX *query, StrategyNumber strategy);
+
+/*
+** Auxiliary functions
+*/
+static double distance_1D(double a1, double a2, double b1, double b2);
+static bool cube_is_point_internal(NDBOX *cube);
+
+
+/*****************************************************************************
+ * Input/Output functions
+ *****************************************************************************/
+
+/* NdBox = [(lowerleft),(upperright)] */
+/* [(xLL(1)...xLL(N)),(xUR(1)...xUR(n))] */
+Datum
+cube_in(PG_FUNCTION_ARGS)
+{
+ char *str = PG_GETARG_CSTRING(0);
+ NDBOX *result;
+
+ cube_scanner_init(str);
+
+ if (cube_yyparse(&result) != 0)
+ cube_yyerror(&result, "cube parser failed");
+
+ cube_scanner_finish();
+
+ PG_RETURN_NDBOX_P(result);
+}
+
+
+/*
+** Allows the construction of a cube from 2 float[]'s
+*/
+Datum
+cube_a_f8_f8(PG_FUNCTION_ARGS)
+{
+ ArrayType *ur = PG_GETARG_ARRAYTYPE_P(0);
+ ArrayType *ll = PG_GETARG_ARRAYTYPE_P(1);
+ NDBOX *result;
+ int i;
+ int dim;
+ int size;
+ bool point;
+ double *dur,
+ *dll;
+
+ if (array_contains_nulls(ur) || array_contains_nulls(ll))
+ ereport(ERROR,
+ (errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
+ errmsg("cannot work with arrays containing NULLs")));
+
+ dim = ARRNELEMS(ur);
+ if (dim > CUBE_MAX_DIM)
+ ereport(ERROR,
+ (errcode(ERRCODE_PROGRAM_LIMIT_EXCEEDED),
+ errmsg("can't extend cube"),
+ errdetail("A cube cannot have more than %d dimensions.",
+ CUBE_MAX_DIM)));
+
+ if (ARRNELEMS(ll) != dim)
+ ereport(ERROR,
+ (errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
+ errmsg("UR and LL arrays must be of same length")));
+
+ dur = ARRPTR(ur);
+ dll = ARRPTR(ll);
+
+ /* Check if it's a point */
+ point = true;
+ for (i = 0; i < dim; i++)
+ {
+ if (dur[i] != dll[i])
+ {
+ point = false;
+ break;
+ }
+ }
+
+ size = point ? POINT_SIZE(dim) : CUBE_SIZE(dim);
+ result = (NDBOX *) palloc0(size);
+ SET_VARSIZE(result, size);
+ SET_DIM(result, dim);
+
+ for (i = 0; i < dim; i++)
+ result->x[i] = dur[i];
+
+ if (!point)
+ {
+ for (i = 0; i < dim; i++)
+ result->x[i + dim] = dll[i];
+ }
+ else
+ SET_POINT_BIT(result);
+
+ PG_RETURN_NDBOX_P(result);
+}
+
+/*
+** Allows the construction of a zero-volume cube from a float[]
+*/
+Datum
+cube_a_f8(PG_FUNCTION_ARGS)
+{
+ ArrayType *ur = PG_GETARG_ARRAYTYPE_P(0);
+ NDBOX *result;
+ int i;
+ int dim;
+ int size;
+ double *dur;
+
+ if (array_contains_nulls(ur))
+ ereport(ERROR,
+ (errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
+ errmsg("cannot work with arrays containing NULLs")));
+
+ dim = ARRNELEMS(ur);
+ if (dim > CUBE_MAX_DIM)
+ ereport(ERROR,
+ (errcode(ERRCODE_PROGRAM_LIMIT_EXCEEDED),
+ errmsg("array is too long"),
+ errdetail("A cube cannot have more than %d dimensions.",
+ CUBE_MAX_DIM)));
+
+ dur = ARRPTR(ur);
+
+ size = POINT_SIZE(dim);
+ result = (NDBOX *) palloc0(size);
+ SET_VARSIZE(result, size);
+ SET_DIM(result, dim);
+ SET_POINT_BIT(result);
+
+ for (i = 0; i < dim; i++)
+ result->x[i] = dur[i];
+
+ PG_RETURN_NDBOX_P(result);
+}
+
+Datum
+cube_subset(PG_FUNCTION_ARGS)
+{
+ NDBOX *c = PG_GETARG_NDBOX_P(0);
+ ArrayType *idx = PG_GETARG_ARRAYTYPE_P(1);
+ NDBOX *result;
+ int size,
+ dim,
+ i;
+ int *dx;
+
+ if (array_contains_nulls(idx))
+ ereport(ERROR,
+ (errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
+ errmsg("cannot work with arrays containing NULLs")));
+
+ dx = (int32 *) ARR_DATA_PTR(idx);
+
+ dim = ARRNELEMS(idx);
+ if (dim > CUBE_MAX_DIM)
+ ereport(ERROR,
+ (errcode(ERRCODE_PROGRAM_LIMIT_EXCEEDED),
+ errmsg("array is too long"),
+ errdetail("A cube cannot have more than %d dimensions.",
+ CUBE_MAX_DIM)));
+
+ size = IS_POINT(c) ? POINT_SIZE(dim) : CUBE_SIZE(dim);
+ result = (NDBOX *) palloc0(size);
+ SET_VARSIZE(result, size);
+ SET_DIM(result, dim);
+
+ if (IS_POINT(c))
+ SET_POINT_BIT(result);
+
+ for (i = 0; i < dim; i++)
+ {
+ if ((dx[i] <= 0) || (dx[i] > DIM(c)))
+ ereport(ERROR,
+ (errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
+ errmsg("Index out of bounds")));
+ result->x[i] = c->x[dx[i] - 1];
+ if (!IS_POINT(c))
+ result->x[i + dim] = c->x[dx[i] + DIM(c) - 1];
+ }
+
+ PG_FREE_IF_COPY(c, 0);
+ PG_RETURN_NDBOX_P(result);
+}
+
+Datum
+cube_out(PG_FUNCTION_ARGS)
+{
+ NDBOX *cube = PG_GETARG_NDBOX_P(0);
+ StringInfoData buf;
+ int dim = DIM(cube);
+ int i;
+
+ initStringInfo(&buf);
+
+ appendStringInfoChar(&buf, '(');
+ for (i = 0; i < dim; i++)
+ {
+ if (i > 0)
+ appendStringInfoString(&buf, ", ");
+ appendStringInfoString(&buf, float8out_internal(LL_COORD(cube, i)));
+ }
+ appendStringInfoChar(&buf, ')');
+
+ if (!cube_is_point_internal(cube))
+ {
+ appendStringInfoString(&buf, ",(");
+ for (i = 0; i < dim; i++)
+ {
+ if (i > 0)
+ appendStringInfoString(&buf, ", ");
+ appendStringInfoString(&buf, float8out_internal(UR_COORD(cube, i)));
+ }
+ appendStringInfoChar(&buf, ')');
+ }
+
+ PG_FREE_IF_COPY(cube, 0);
+ PG_RETURN_CSTRING(buf.data);
+}
+
+/*
+ * cube_send - a binary output handler for cube type
+ */
+Datum
+cube_send(PG_FUNCTION_ARGS)
+{
+ NDBOX *cube = PG_GETARG_NDBOX_P(0);
+ StringInfoData buf;
+ int32 i,
+ nitems = DIM(cube);
+
+ pq_begintypsend(&buf);
+ pq_sendint32(&buf, cube->header);
+ if (!IS_POINT(cube))
+ nitems += nitems;
+ /* for symmetry with cube_recv, we don't use LL_COORD/UR_COORD here */
+ for (i = 0; i < nitems; i++)
+ pq_sendfloat8(&buf, cube->x[i]);
+
+ PG_RETURN_BYTEA_P(pq_endtypsend(&buf));
+}
+
+/*
+ * cube_recv - a binary input handler for cube type
+ */
+Datum
+cube_recv(PG_FUNCTION_ARGS)
+{
+ StringInfo buf = (StringInfo) PG_GETARG_POINTER(0);
+ int32 header;
+ int32 i,
+ nitems;
+ NDBOX *cube;
+
+ header = pq_getmsgint(buf, sizeof(int32));
+ nitems = (header & DIM_MASK);
+ if (nitems > CUBE_MAX_DIM)
+ ereport(ERROR,
+ (errcode(ERRCODE_PROGRAM_LIMIT_EXCEEDED),
+ errmsg("cube dimension is too large"),
+ errdetail("A cube cannot have more than %d dimensions.",
+ CUBE_MAX_DIM)));
+ if ((header & POINT_BIT) == 0)
+ nitems += nitems;
+ cube = palloc(offsetof(NDBOX, x) + sizeof(double) * nitems);
+ SET_VARSIZE(cube, offsetof(NDBOX, x) + sizeof(double) * nitems);
+ cube->header = header;
+ for (i = 0; i < nitems; i++)
+ cube->x[i] = pq_getmsgfloat8(buf);
+
+ PG_RETURN_NDBOX_P(cube);
+}
+
+
+/*****************************************************************************
+ * GiST functions
+ *****************************************************************************/
+
+/*
+** The GiST Consistent method for boxes
+** Should return false if for all data items x below entry,
+** the predicate x op query == false, where op is the oper
+** corresponding to strategy in the pg_amop table.
+*/
+Datum
+g_cube_consistent(PG_FUNCTION_ARGS)
+{
+ GISTENTRY *entry = (GISTENTRY *) PG_GETARG_POINTER(0);
+ NDBOX *query = PG_GETARG_NDBOX_P(1);
+ StrategyNumber strategy = (StrategyNumber) PG_GETARG_UINT16(2);
+
+ /* Oid subtype = PG_GETARG_OID(3); */
+ bool *recheck = (bool *) PG_GETARG_POINTER(4);
+ bool res;
+
+ /* All cases served by this function are exact */
+ *recheck = false;
+
+ /*
+ * if entry is not leaf, use g_cube_internal_consistent, else use
+ * g_cube_leaf_consistent
+ */
+ if (GIST_LEAF(entry))
+ res = g_cube_leaf_consistent(DatumGetNDBOXP(entry->key),
+ query, strategy);
+ else
+ res = g_cube_internal_consistent(DatumGetNDBOXP(entry->key),
+ query, strategy);
+
+ PG_FREE_IF_COPY(query, 1);
+ PG_RETURN_BOOL(res);
+}
+
+
+/*
+** The GiST Union method for boxes
+** returns the minimal bounding box that encloses all the entries in entryvec
+*/
+Datum
+g_cube_union(PG_FUNCTION_ARGS)
+{
+ GistEntryVector *entryvec = (GistEntryVector *) PG_GETARG_POINTER(0);
+ int *sizep = (int *) PG_GETARG_POINTER(1);
+ NDBOX *out = (NDBOX *) NULL;
+ NDBOX *tmp;
+ int i;
+
+ tmp = DatumGetNDBOXP(entryvec->vector[0].key);
+
+ /*
+ * sizep = sizeof(NDBOX); -- NDBOX has variable size
+ */
+ *sizep = VARSIZE(tmp);
+
+ for (i = 1; i < entryvec->n; i++)
+ {
+ out = g_cube_binary_union(tmp,
+ DatumGetNDBOXP(entryvec->vector[i].key),
+ sizep);
+ tmp = out;
+ }
+
+ PG_RETURN_POINTER(out);
+}
+
+/*
+** GiST Compress and Decompress methods for boxes
+** do not do anything.
+*/
+
+Datum
+g_cube_compress(PG_FUNCTION_ARGS)
+{
+ PG_RETURN_DATUM(PG_GETARG_DATUM(0));
+}
+
+Datum
+g_cube_decompress(PG_FUNCTION_ARGS)
+{
+ GISTENTRY *entry = (GISTENTRY *) PG_GETARG_POINTER(0);
+ NDBOX *key = DatumGetNDBOXP(entry->key);
+
+ if (key != DatumGetNDBOXP(entry->key))
+ {
+ GISTENTRY *retval = (GISTENTRY *) palloc(sizeof(GISTENTRY));
+
+ gistentryinit(*retval, PointerGetDatum(key),
+ entry->rel, entry->page,
+ entry->offset, false);
+ PG_RETURN_POINTER(retval);
+ }
+ PG_RETURN_POINTER(entry);
+}
+
+
+/*
+** The GiST Penalty method for boxes
+** As in the R-tree paper, we use change in area as our penalty metric
+*/
+Datum
+g_cube_penalty(PG_FUNCTION_ARGS)
+{
+ GISTENTRY *origentry = (GISTENTRY *) PG_GETARG_POINTER(0);
+ GISTENTRY *newentry = (GISTENTRY *) PG_GETARG_POINTER(1);
+ float *result = (float *) PG_GETARG_POINTER(2);
+ NDBOX *ud;
+ double tmp1,
+ tmp2;
+
+ ud = cube_union_v0(DatumGetNDBOXP(origentry->key),
+ DatumGetNDBOXP(newentry->key));
+ rt_cube_size(ud, &tmp1);
+ rt_cube_size(DatumGetNDBOXP(origentry->key), &tmp2);
+ *result = (float) (tmp1 - tmp2);
+
+ PG_RETURN_FLOAT8(*result);
+}
+
+
+
+/*
+** The GiST PickSplit method for boxes
+** We use Guttman's poly time split algorithm
+*/
+Datum
+g_cube_picksplit(PG_FUNCTION_ARGS)
+{
+ GistEntryVector *entryvec = (GistEntryVector *) PG_GETARG_POINTER(0);
+ GIST_SPLITVEC *v = (GIST_SPLITVEC *) PG_GETARG_POINTER(1);
+ OffsetNumber i,
+ j;
+ NDBOX *datum_alpha,
+ *datum_beta;
+ NDBOX *datum_l,
+ *datum_r;
+ NDBOX *union_d,
+ *union_dl,
+ *union_dr;
+ NDBOX *inter_d;
+ bool firsttime;
+ double size_alpha,
+ size_beta,
+ size_union,
+ size_inter;
+ double size_waste,
+ waste;
+ double size_l,
+ size_r;
+ int nbytes;
+ OffsetNumber seed_1 = 1,
+ seed_2 = 2;
+ OffsetNumber *left,
+ *right;
+ OffsetNumber maxoff;
+
+ maxoff = entryvec->n - 2;
+ nbytes = (maxoff + 2) * sizeof(OffsetNumber);
+ v->spl_left = (OffsetNumber *) palloc(nbytes);
+ v->spl_right = (OffsetNumber *) palloc(nbytes);
+
+ firsttime = true;
+ waste = 0.0;
+
+ for (i = FirstOffsetNumber; i < maxoff; i = OffsetNumberNext(i))
+ {
+ datum_alpha = DatumGetNDBOXP(entryvec->vector[i].key);
+ for (j = OffsetNumberNext(i); j <= maxoff; j = OffsetNumberNext(j))
+ {
+ datum_beta = DatumGetNDBOXP(entryvec->vector[j].key);
+
+ /* compute the wasted space by unioning these guys */
+ /* size_waste = size_union - size_inter; */
+ union_d = cube_union_v0(datum_alpha, datum_beta);
+ rt_cube_size(union_d, &size_union);
+ inter_d = DatumGetNDBOXP(DirectFunctionCall2(cube_inter,
+ entryvec->vector[i].key,
+ entryvec->vector[j].key));
+ rt_cube_size(inter_d, &size_inter);
+ size_waste = size_union - size_inter;
+
+ /*
+ * are these a more promising split than what we've already seen?
+ */
+
+ if (size_waste > waste || firsttime)
+ {
+ waste = size_waste;
+ seed_1 = i;
+ seed_2 = j;
+ firsttime = false;
+ }
+ }
+ }
+
+ left = v->spl_left;
+ v->spl_nleft = 0;
+ right = v->spl_right;
+ v->spl_nright = 0;
+
+ datum_alpha = DatumGetNDBOXP(entryvec->vector[seed_1].key);
+ datum_l = cube_union_v0(datum_alpha, datum_alpha);
+ rt_cube_size(datum_l, &size_l);
+ datum_beta = DatumGetNDBOXP(entryvec->vector[seed_2].key);
+ datum_r = cube_union_v0(datum_beta, datum_beta);
+ rt_cube_size(datum_r, &size_r);
+
+ /*
+ * Now split up the regions between the two seeds. An important property
+ * of this split algorithm is that the split vector v has the indices of
+ * items to be split in order in its left and right vectors. We exploit
+ * this property by doing a merge in the code that actually splits the
+ * page.
+ *
+ * For efficiency, we also place the new index tuple in this loop. This is
+ * handled at the very end, when we have placed all the existing tuples
+ * and i == maxoff + 1.
+ */
+
+ maxoff = OffsetNumberNext(maxoff);
+ for (i = FirstOffsetNumber; i <= maxoff; i = OffsetNumberNext(i))
+ {
+ /*
+ * If we've already decided where to place this item, just put it on
+ * the right list. Otherwise, we need to figure out which page needs
+ * the least enlargement in order to store the item.
+ */
+
+ if (i == seed_1)
+ {
+ *left++ = i;
+ v->spl_nleft++;
+ continue;
+ }
+ else if (i == seed_2)
+ {
+ *right++ = i;
+ v->spl_nright++;
+ continue;
+ }
+
+ /* okay, which page needs least enlargement? */
+ datum_alpha = DatumGetNDBOXP(entryvec->vector[i].key);
+ union_dl = cube_union_v0(datum_l, datum_alpha);
+ union_dr = cube_union_v0(datum_r, datum_alpha);
+ rt_cube_size(union_dl, &size_alpha);
+ rt_cube_size(union_dr, &size_beta);
+
+ /* pick which page to add it to */
+ if (size_alpha - size_l < size_beta - size_r)
+ {
+ datum_l = union_dl;
+ size_l = size_alpha;
+ *left++ = i;
+ v->spl_nleft++;
+ }
+ else
+ {
+ datum_r = union_dr;
+ size_r = size_beta;
+ *right++ = i;
+ v->spl_nright++;
+ }
+ }
+ *left = *right = FirstOffsetNumber; /* sentinel value */
+
+ v->spl_ldatum = PointerGetDatum(datum_l);
+ v->spl_rdatum = PointerGetDatum(datum_r);
+
+ PG_RETURN_POINTER(v);
+}
+
+/*
+** Equality method
+*/
+Datum
+g_cube_same(PG_FUNCTION_ARGS)
+{
+ NDBOX *b1 = PG_GETARG_NDBOX_P(0);
+ NDBOX *b2 = PG_GETARG_NDBOX_P(1);
+ bool *result = (bool *) PG_GETARG_POINTER(2);
+
+ if (cube_cmp_v0(b1, b2) == 0)
+ *result = true;
+ else
+ *result = false;
+
+ PG_RETURN_NDBOX_P(result);
+}
+
+/*
+** SUPPORT ROUTINES
+*/
+bool
+g_cube_leaf_consistent(NDBOX *key,
+ NDBOX *query,
+ StrategyNumber strategy)
+{
+ bool retval;
+
+ switch (strategy)
+ {
+ case RTOverlapStrategyNumber:
+ retval = cube_overlap_v0(key, query);
+ break;
+ case RTSameStrategyNumber:
+ retval = (cube_cmp_v0(key, query) == 0);
+ break;
+ case RTContainsStrategyNumber:
+ case RTOldContainsStrategyNumber:
+ retval = cube_contains_v0(key, query);
+ break;
+ case RTContainedByStrategyNumber:
+ case RTOldContainedByStrategyNumber:
+ retval = cube_contains_v0(query, key);
+ break;
+ default:
+ retval = false;
+ }
+ return retval;
+}
+
+bool
+g_cube_internal_consistent(NDBOX *key,
+ NDBOX *query,
+ StrategyNumber strategy)
+{
+ bool retval;
+
+ switch (strategy)
+ {
+ case RTOverlapStrategyNumber:
+ retval = (bool) cube_overlap_v0(key, query);
+ break;
+ case RTSameStrategyNumber:
+ case RTContainsStrategyNumber:
+ case RTOldContainsStrategyNumber:
+ retval = (bool) cube_contains_v0(key, query);
+ break;
+ case RTContainedByStrategyNumber:
+ case RTOldContainedByStrategyNumber:
+ retval = (bool) cube_overlap_v0(key, query);
+ break;
+ default:
+ retval = false;
+ }
+ return retval;
+}
+
+NDBOX *
+g_cube_binary_union(NDBOX *r1, NDBOX *r2, int *sizep)
+{
+ NDBOX *retval;
+
+ retval = cube_union_v0(r1, r2);
+ *sizep = VARSIZE(retval);
+
+ return retval;
+}
+
+
+/* cube_union_v0 */
+NDBOX *
+cube_union_v0(NDBOX *a, NDBOX *b)
+{
+ int i;
+ NDBOX *result;
+ int dim;
+ int size;
+
+ /* trivial case */
+ if (a == b)
+ return a;
+
+ /* swap the arguments if needed, so that 'a' is always larger than 'b' */
+ if (DIM(a) < DIM(b))
+ {
+ NDBOX *tmp = b;
+
+ b = a;
+ a = tmp;
+ }
+ dim = DIM(a);
+
+ size = CUBE_SIZE(dim);
+ result = palloc0(size);
+ SET_VARSIZE(result, size);
+ SET_DIM(result, dim);
+
+ /* First compute the union of the dimensions present in both args */
+ for (i = 0; i < DIM(b); i++)
+ {
+ result->x[i] = Min(Min(LL_COORD(a, i), UR_COORD(a, i)),
+ Min(LL_COORD(b, i), UR_COORD(b, i)));
+ result->x[i + DIM(a)] = Max(Max(LL_COORD(a, i), UR_COORD(a, i)),
+ Max(LL_COORD(b, i), UR_COORD(b, i)));
+ }
+ /* continue on the higher dimensions only present in 'a' */
+ for (; i < DIM(a); i++)
+ {
+ result->x[i] = Min(0,
+ Min(LL_COORD(a, i), UR_COORD(a, i))
+ );
+ result->x[i + dim] = Max(0,
+ Max(LL_COORD(a, i), UR_COORD(a, i))
+ );
+ }
+
+ /*
+ * Check if the result was in fact a point, and set the flag in the datum
+ * accordingly. (we don't bother to repalloc it smaller)
+ */
+ if (cube_is_point_internal(result))
+ {
+ size = POINT_SIZE(dim);
+ SET_VARSIZE(result, size);
+ SET_POINT_BIT(result);
+ }
+
+ return result;
+}
+
+Datum
+cube_union(PG_FUNCTION_ARGS)
+{
+ NDBOX *a = PG_GETARG_NDBOX_P(0);
+ NDBOX *b = PG_GETARG_NDBOX_P(1);
+ NDBOX *res;
+
+ res = cube_union_v0(a, b);
+
+ PG_FREE_IF_COPY(a, 0);
+ PG_FREE_IF_COPY(b, 1);
+ PG_RETURN_NDBOX_P(res);
+}
+
+/* cube_inter */
+Datum
+cube_inter(PG_FUNCTION_ARGS)
+{
+ NDBOX *a = PG_GETARG_NDBOX_P(0);
+ NDBOX *b = PG_GETARG_NDBOX_P(1);
+ NDBOX *result;
+ bool swapped = false;
+ int i;
+ int dim;
+ int size;
+
+ /* swap the arguments if needed, so that 'a' is always larger than 'b' */
+ if (DIM(a) < DIM(b))
+ {
+ NDBOX *tmp = b;
+
+ b = a;
+ a = tmp;
+ swapped = true;
+ }
+ dim = DIM(a);
+
+ size = CUBE_SIZE(dim);
+ result = (NDBOX *) palloc0(size);
+ SET_VARSIZE(result, size);
+ SET_DIM(result, dim);
+
+ /* First compute intersection of the dimensions present in both args */
+ for (i = 0; i < DIM(b); i++)
+ {
+ result->x[i] = Max(Min(LL_COORD(a, i), UR_COORD(a, i)),
+ Min(LL_COORD(b, i), UR_COORD(b, i)));
+ result->x[i + DIM(a)] = Min(Max(LL_COORD(a, i), UR_COORD(a, i)),
+ Max(LL_COORD(b, i), UR_COORD(b, i)));
+ }
+ /* continue on the higher dimensions only present in 'a' */
+ for (; i < DIM(a); i++)
+ {
+ result->x[i] = Max(0,
+ Min(LL_COORD(a, i), UR_COORD(a, i))
+ );
+ result->x[i + DIM(a)] = Min(0,
+ Max(LL_COORD(a, i), UR_COORD(a, i))
+ );
+ }
+
+ /*
+ * Check if the result was in fact a point, and set the flag in the datum
+ * accordingly. (we don't bother to repalloc it smaller)
+ */
+ if (cube_is_point_internal(result))
+ {
+ size = POINT_SIZE(dim);
+ result = repalloc(result, size);
+ SET_VARSIZE(result, size);
+ SET_POINT_BIT(result);
+ }
+
+ if (swapped)
+ {
+ PG_FREE_IF_COPY(b, 0);
+ PG_FREE_IF_COPY(a, 1);
+ }
+ else
+ {
+ PG_FREE_IF_COPY(a, 0);
+ PG_FREE_IF_COPY(b, 1);
+ }
+
+ /*
+ * Is it OK to return a non-null intersection for non-overlapping boxes?
+ */
+ PG_RETURN_NDBOX_P(result);
+}
+
+/* cube_size */
+Datum
+cube_size(PG_FUNCTION_ARGS)
+{
+ NDBOX *a = PG_GETARG_NDBOX_P(0);
+ double result;
+
+ rt_cube_size(a, &result);
+ PG_FREE_IF_COPY(a, 0);
+ PG_RETURN_FLOAT8(result);
+}
+
+void
+rt_cube_size(NDBOX *a, double *size)
+{
+ double result;
+ int i;
+
+ if (a == (NDBOX *) NULL)
+ {
+ /* special case for GiST */
+ result = 0.0;
+ }
+ else if (IS_POINT(a) || DIM(a) == 0)
+ {
+ /* necessarily has zero size */
+ result = 0.0;
+ }
+ else
+ {
+ result = 1.0;
+ for (i = 0; i < DIM(a); i++)
+ result *= Abs(UR_COORD(a, i) - LL_COORD(a, i));
+ }
+ *size = result;
+}
+
+/* make up a metric in which one box will be 'lower' than the other
+ -- this can be useful for sorting and to determine uniqueness */
+int32
+cube_cmp_v0(NDBOX *a, NDBOX *b)
+{
+ int i;
+ int dim;
+
+ dim = Min(DIM(a), DIM(b));
+
+ /* compare the common dimensions */
+ for (i = 0; i < dim; i++)
+ {
+ if (Min(LL_COORD(a, i), UR_COORD(a, i)) >
+ Min(LL_COORD(b, i), UR_COORD(b, i)))
+ return 1;
+ if (Min(LL_COORD(a, i), UR_COORD(a, i)) <
+ Min(LL_COORD(b, i), UR_COORD(b, i)))
+ return -1;
+ }
+ for (i = 0; i < dim; i++)
+ {
+ if (Max(LL_COORD(a, i), UR_COORD(a, i)) >
+ Max(LL_COORD(b, i), UR_COORD(b, i)))
+ return 1;
+ if (Max(LL_COORD(a, i), UR_COORD(a, i)) <
+ Max(LL_COORD(b, i), UR_COORD(b, i)))
+ return -1;
+ }
+
+ /* compare extra dimensions to zero */
+ if (DIM(a) > DIM(b))
+ {
+ for (i = dim; i < DIM(a); i++)
+ {
+ if (Min(LL_COORD(a, i), UR_COORD(a, i)) > 0)
+ return 1;
+ if (Min(LL_COORD(a, i), UR_COORD(a, i)) < 0)
+ return -1;
+ }
+ for (i = dim; i < DIM(a); i++)
+ {
+ if (Max(LL_COORD(a, i), UR_COORD(a, i)) > 0)
+ return 1;
+ if (Max(LL_COORD(a, i), UR_COORD(a, i)) < 0)
+ return -1;
+ }
+
+ /*
+ * if all common dimensions are equal, the cube with more dimensions
+ * wins
+ */
+ return 1;
+ }
+ if (DIM(a) < DIM(b))
+ {
+ for (i = dim; i < DIM(b); i++)
+ {
+ if (Min(LL_COORD(b, i), UR_COORD(b, i)) > 0)
+ return -1;
+ if (Min(LL_COORD(b, i), UR_COORD(b, i)) < 0)
+ return 1;
+ }
+ for (i = dim; i < DIM(b); i++)
+ {
+ if (Max(LL_COORD(b, i), UR_COORD(b, i)) > 0)
+ return -1;
+ if (Max(LL_COORD(b, i), UR_COORD(b, i)) < 0)
+ return 1;
+ }
+
+ /*
+ * if all common dimensions are equal, the cube with more dimensions
+ * wins
+ */
+ return -1;
+ }
+
+ /* They're really equal */
+ return 0;
+}
+
+Datum
+cube_cmp(PG_FUNCTION_ARGS)
+{
+ NDBOX *a = PG_GETARG_NDBOX_P(0),
+ *b = PG_GETARG_NDBOX_P(1);
+ int32 res;
+
+ res = cube_cmp_v0(a, b);
+
+ PG_FREE_IF_COPY(a, 0);
+ PG_FREE_IF_COPY(b, 1);
+ PG_RETURN_INT32(res);
+}
+
+
+Datum
+cube_eq(PG_FUNCTION_ARGS)
+{
+ NDBOX *a = PG_GETARG_NDBOX_P(0),
+ *b = PG_GETARG_NDBOX_P(1);
+ int32 res;
+
+ res = cube_cmp_v0(a, b);
+
+ PG_FREE_IF_COPY(a, 0);
+ PG_FREE_IF_COPY(b, 1);
+ PG_RETURN_BOOL(res == 0);
+}
+
+
+Datum
+cube_ne(PG_FUNCTION_ARGS)
+{
+ NDBOX *a = PG_GETARG_NDBOX_P(0),
+ *b = PG_GETARG_NDBOX_P(1);
+ int32 res;
+
+ res = cube_cmp_v0(a, b);
+
+ PG_FREE_IF_COPY(a, 0);
+ PG_FREE_IF_COPY(b, 1);
+ PG_RETURN_BOOL(res != 0);
+}
+
+
+Datum
+cube_lt(PG_FUNCTION_ARGS)
+{
+ NDBOX *a = PG_GETARG_NDBOX_P(0),
+ *b = PG_GETARG_NDBOX_P(1);
+ int32 res;
+
+ res = cube_cmp_v0(a, b);
+
+ PG_FREE_IF_COPY(a, 0);
+ PG_FREE_IF_COPY(b, 1);
+ PG_RETURN_BOOL(res < 0);
+}
+
+
+Datum
+cube_gt(PG_FUNCTION_ARGS)
+{
+ NDBOX *a = PG_GETARG_NDBOX_P(0),
+ *b = PG_GETARG_NDBOX_P(1);
+ int32 res;
+
+ res = cube_cmp_v0(a, b);
+
+ PG_FREE_IF_COPY(a, 0);
+ PG_FREE_IF_COPY(b, 1);
+ PG_RETURN_BOOL(res > 0);
+}
+
+
+Datum
+cube_le(PG_FUNCTION_ARGS)
+{
+ NDBOX *a = PG_GETARG_NDBOX_P(0),
+ *b = PG_GETARG_NDBOX_P(1);
+ int32 res;
+
+ res = cube_cmp_v0(a, b);
+
+ PG_FREE_IF_COPY(a, 0);
+ PG_FREE_IF_COPY(b, 1);
+ PG_RETURN_BOOL(res <= 0);
+}
+
+
+Datum
+cube_ge(PG_FUNCTION_ARGS)
+{
+ NDBOX *a = PG_GETARG_NDBOX_P(0),
+ *b = PG_GETARG_NDBOX_P(1);
+ int32 res;
+
+ res = cube_cmp_v0(a, b);
+
+ PG_FREE_IF_COPY(a, 0);
+ PG_FREE_IF_COPY(b, 1);
+ PG_RETURN_BOOL(res >= 0);
+}
+
+
+/* Contains */
+/* Box(A) CONTAINS Box(B) IFF pt(A) < pt(B) */
+bool
+cube_contains_v0(NDBOX *a, NDBOX *b)
+{
+ int i;
+
+ if ((a == NULL) || (b == NULL))
+ return false;
+
+ if (DIM(a) < DIM(b))
+ {
+ /*
+ * the further comparisons will make sense if the excess dimensions of
+ * (b) were zeroes Since both UL and UR coordinates must be zero, we
+ * can check them all without worrying about which is which.
+ */
+ for (i = DIM(a); i < DIM(b); i++)
+ {
+ if (LL_COORD(b, i) != 0)
+ return false;
+ if (UR_COORD(b, i) != 0)
+ return false;
+ }
+ }
+
+ /* Can't care less about the excess dimensions of (a), if any */
+ for (i = 0; i < Min(DIM(a), DIM(b)); i++)
+ {
+ if (Min(LL_COORD(a, i), UR_COORD(a, i)) >
+ Min(LL_COORD(b, i), UR_COORD(b, i)))
+ return false;
+ if (Max(LL_COORD(a, i), UR_COORD(a, i)) <
+ Max(LL_COORD(b, i), UR_COORD(b, i)))
+ return false;
+ }
+
+ return true;
+}
+
+Datum
+cube_contains(PG_FUNCTION_ARGS)
+{
+ NDBOX *a = PG_GETARG_NDBOX_P(0),
+ *b = PG_GETARG_NDBOX_P(1);
+ bool res;
+
+ res = cube_contains_v0(a, b);
+
+ PG_FREE_IF_COPY(a, 0);
+ PG_FREE_IF_COPY(b, 1);
+ PG_RETURN_BOOL(res);
+}
+
+/* Contained */
+/* Box(A) Contained by Box(B) IFF Box(B) Contains Box(A) */
+Datum
+cube_contained(PG_FUNCTION_ARGS)
+{
+ NDBOX *a = PG_GETARG_NDBOX_P(0),
+ *b = PG_GETARG_NDBOX_P(1);
+ bool res;
+
+ res = cube_contains_v0(b, a);
+
+ PG_FREE_IF_COPY(a, 0);
+ PG_FREE_IF_COPY(b, 1);
+ PG_RETURN_BOOL(res);
+}
+
+/* Overlap */
+/* Box(A) Overlap Box(B) IFF (pt(a)LL < pt(B)UR) && (pt(b)LL < pt(a)UR) */
+bool
+cube_overlap_v0(NDBOX *a, NDBOX *b)
+{
+ int i;
+
+ if ((a == NULL) || (b == NULL))
+ return false;
+
+ /* swap the box pointers if needed */
+ if (DIM(a) < DIM(b))
+ {
+ NDBOX *tmp = b;
+
+ b = a;
+ a = tmp;
+ }
+
+ /* compare within the dimensions of (b) */
+ for (i = 0; i < DIM(b); i++)
+ {
+ if (Min(LL_COORD(a, i), UR_COORD(a, i)) > Max(LL_COORD(b, i), UR_COORD(b, i)))
+ return false;
+ if (Max(LL_COORD(a, i), UR_COORD(a, i)) < Min(LL_COORD(b, i), UR_COORD(b, i)))
+ return false;
+ }
+
+ /* compare to zero those dimensions in (a) absent in (b) */
+ for (i = DIM(b); i < DIM(a); i++)
+ {
+ if (Min(LL_COORD(a, i), UR_COORD(a, i)) > 0)
+ return false;
+ if (Max(LL_COORD(a, i), UR_COORD(a, i)) < 0)
+ return false;
+ }
+
+ return true;
+}
+
+
+Datum
+cube_overlap(PG_FUNCTION_ARGS)
+{
+ NDBOX *a = PG_GETARG_NDBOX_P(0),
+ *b = PG_GETARG_NDBOX_P(1);
+ bool res;
+
+ res = cube_overlap_v0(a, b);
+
+ PG_FREE_IF_COPY(a, 0);
+ PG_FREE_IF_COPY(b, 1);
+ PG_RETURN_BOOL(res);
+}
+
+
+/* Distance */
+/* The distance is computed as a per axis sum of the squared distances
+ between 1D projections of the boxes onto Cartesian axes. Assuming zero
+ distance between overlapping projections, this metric coincides with the
+ "common sense" geometric distance */
+Datum
+cube_distance(PG_FUNCTION_ARGS)
+{
+ NDBOX *a = PG_GETARG_NDBOX_P(0),
+ *b = PG_GETARG_NDBOX_P(1);
+ bool swapped = false;
+ double d,
+ distance;
+ int i;
+
+ /* swap the box pointers if needed */
+ if (DIM(a) < DIM(b))
+ {
+ NDBOX *tmp = b;
+
+ b = a;
+ a = tmp;
+ swapped = true;
+ }
+
+ distance = 0.0;
+ /* compute within the dimensions of (b) */
+ for (i = 0; i < DIM(b); i++)
+ {
+ d = distance_1D(LL_COORD(a, i), UR_COORD(a, i), LL_COORD(b, i), UR_COORD(b, i));
+ distance += d * d;
+ }
+
+ /* compute distance to zero for those dimensions in (a) absent in (b) */
+ for (i = DIM(b); i < DIM(a); i++)
+ {
+ d = distance_1D(LL_COORD(a, i), UR_COORD(a, i), 0.0, 0.0);
+ distance += d * d;
+ }
+
+ if (swapped)
+ {
+ PG_FREE_IF_COPY(b, 0);
+ PG_FREE_IF_COPY(a, 1);
+ }
+ else
+ {
+ PG_FREE_IF_COPY(a, 0);
+ PG_FREE_IF_COPY(b, 1);
+ }
+
+ PG_RETURN_FLOAT8(sqrt(distance));
+}
+
+Datum
+distance_taxicab(PG_FUNCTION_ARGS)
+{
+ NDBOX *a = PG_GETARG_NDBOX_P(0),
+ *b = PG_GETARG_NDBOX_P(1);
+ bool swapped = false;
+ double distance;
+ int i;
+
+ /* swap the box pointers if needed */
+ if (DIM(a) < DIM(b))
+ {
+ NDBOX *tmp = b;
+
+ b = a;
+ a = tmp;
+ swapped = true;
+ }
+
+ distance = 0.0;
+ /* compute within the dimensions of (b) */
+ for (i = 0; i < DIM(b); i++)
+ distance += fabs(distance_1D(LL_COORD(a, i), UR_COORD(a, i),
+ LL_COORD(b, i), UR_COORD(b, i)));
+
+ /* compute distance to zero for those dimensions in (a) absent in (b) */
+ for (i = DIM(b); i < DIM(a); i++)
+ distance += fabs(distance_1D(LL_COORD(a, i), UR_COORD(a, i),
+ 0.0, 0.0));
+
+ if (swapped)
+ {
+ PG_FREE_IF_COPY(b, 0);
+ PG_FREE_IF_COPY(a, 1);
+ }
+ else
+ {
+ PG_FREE_IF_COPY(a, 0);
+ PG_FREE_IF_COPY(b, 1);
+ }
+
+ PG_RETURN_FLOAT8(distance);
+}
+
+Datum
+distance_chebyshev(PG_FUNCTION_ARGS)
+{
+ NDBOX *a = PG_GETARG_NDBOX_P(0),
+ *b = PG_GETARG_NDBOX_P(1);
+ bool swapped = false;
+ double d,
+ distance;
+ int i;
+
+ /* swap the box pointers if needed */
+ if (DIM(a) < DIM(b))
+ {
+ NDBOX *tmp = b;
+
+ b = a;
+ a = tmp;
+ swapped = true;
+ }
+
+ distance = 0.0;
+ /* compute within the dimensions of (b) */
+ for (i = 0; i < DIM(b); i++)
+ {
+ d = fabs(distance_1D(LL_COORD(a, i), UR_COORD(a, i),
+ LL_COORD(b, i), UR_COORD(b, i)));
+ if (d > distance)
+ distance = d;
+ }
+
+ /* compute distance to zero for those dimensions in (a) absent in (b) */
+ for (i = DIM(b); i < DIM(a); i++)
+ {
+ d = fabs(distance_1D(LL_COORD(a, i), UR_COORD(a, i), 0.0, 0.0));
+ if (d > distance)
+ distance = d;
+ }
+
+ if (swapped)
+ {
+ PG_FREE_IF_COPY(b, 0);
+ PG_FREE_IF_COPY(a, 1);
+ }
+ else
+ {
+ PG_FREE_IF_COPY(a, 0);
+ PG_FREE_IF_COPY(b, 1);
+ }
+
+ PG_RETURN_FLOAT8(distance);
+}
+
+Datum
+g_cube_distance(PG_FUNCTION_ARGS)
+{
+ GISTENTRY *entry = (GISTENTRY *) PG_GETARG_POINTER(0);
+ StrategyNumber strategy = (StrategyNumber) PG_GETARG_UINT16(2);
+ NDBOX *cube = DatumGetNDBOXP(entry->key);
+ double retval;
+
+ if (strategy == CubeKNNDistanceCoord)
+ {
+ /*
+ * Handle ordering by ~> operator. See comments of cube_coord_llur()
+ * for details
+ */
+ int coord = PG_GETARG_INT32(1);
+ bool isLeaf = GistPageIsLeaf(entry->page);
+ bool inverse = false;
+
+ /* 0 is the only unsupported coordinate value */
+ if (coord == 0)
+ ereport(ERROR,
+ (errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
+ errmsg("zero cube index is not defined")));
+
+ /* Return inversed value for negative coordinate */
+ if (coord < 0)
+ {
+ coord = -coord;
+ inverse = true;
+ }
+
+ if (coord <= 2 * DIM(cube))
+ {
+ /* dimension index */
+ int index = (coord - 1) / 2;
+
+ /* whether this is upper bound (lower bound otherwise) */
+ bool upper = ((coord - 1) % 2 == 1);
+
+ if (IS_POINT(cube))
+ {
+ retval = cube->x[index];
+ }
+ else
+ {
+ if (isLeaf)
+ {
+ /* For leaf just return required upper/lower bound */
+ if (upper)
+ retval = Max(cube->x[index], cube->x[index + DIM(cube)]);
+ else
+ retval = Min(cube->x[index], cube->x[index + DIM(cube)]);
+ }
+ else
+ {
+ /*
+ * For non-leaf we should always return lower bound,
+ * because even upper bound of a child in the subtree can
+ * be as small as our lower bound. For inversed case we
+ * return upper bound because it becomes lower bound for
+ * inversed value.
+ */
+ if (!inverse)
+ retval = Min(cube->x[index], cube->x[index + DIM(cube)]);
+ else
+ retval = Max(cube->x[index], cube->x[index + DIM(cube)]);
+ }
+ }
+ }
+ else
+ {
+ retval = 0.0;
+ }
+
+ /* Inverse return value if needed */
+ if (inverse)
+ retval = -retval;
+ }
+ else
+ {
+ NDBOX *query = PG_GETARG_NDBOX_P(1);
+
+ switch (strategy)
+ {
+ case CubeKNNDistanceTaxicab:
+ retval = DatumGetFloat8(DirectFunctionCall2(distance_taxicab,
+ PointerGetDatum(cube), PointerGetDatum(query)));
+ break;
+ case CubeKNNDistanceEuclid:
+ retval = DatumGetFloat8(DirectFunctionCall2(cube_distance,
+ PointerGetDatum(cube), PointerGetDatum(query)));
+ break;
+ case CubeKNNDistanceChebyshev:
+ retval = DatumGetFloat8(DirectFunctionCall2(distance_chebyshev,
+ PointerGetDatum(cube), PointerGetDatum(query)));
+ break;
+ default:
+ elog(ERROR, "unrecognized cube strategy number: %d", strategy);
+ retval = 0; /* keep compiler quiet */
+ break;
+ }
+ }
+ PG_RETURN_FLOAT8(retval);
+}
+
+static double
+distance_1D(double a1, double a2, double b1, double b2)
+{
+ /* interval (a) is entirely on the left of (b) */
+ if ((a1 <= b1) && (a2 <= b1) && (a1 <= b2) && (a2 <= b2))
+ return (Min(b1, b2) - Max(a1, a2));
+
+ /* interval (a) is entirely on the right of (b) */
+ if ((a1 > b1) && (a2 > b1) && (a1 > b2) && (a2 > b2))
+ return (Min(a1, a2) - Max(b1, b2));
+
+ /* the rest are all sorts of intersections */
+ return 0.0;
+}
+
+/* Test if a box is also a point */
+Datum
+cube_is_point(PG_FUNCTION_ARGS)
+{
+ NDBOX *cube = PG_GETARG_NDBOX_P(0);
+ bool result;
+
+ result = cube_is_point_internal(cube);
+ PG_FREE_IF_COPY(cube, 0);
+ PG_RETURN_BOOL(result);
+}
+
+static bool
+cube_is_point_internal(NDBOX *cube)
+{
+ int i;
+
+ if (IS_POINT(cube))
+ return true;
+
+ /*
+ * Even if the point-flag is not set, all the lower-left coordinates might
+ * match the upper-right coordinates, so that the value is in fact a
+ * point. Such values don't arise with current code - the point flag is
+ * always set if appropriate - but they might be present on-disk in
+ * clusters upgraded from pre-9.4 versions.
+ */
+ for (i = 0; i < DIM(cube); i++)
+ {
+ if (LL_COORD(cube, i) != UR_COORD(cube, i))
+ return false;
+ }
+ return true;
+}
+
+/* Return dimensions in use in the data structure */
+Datum
+cube_dim(PG_FUNCTION_ARGS)
+{
+ NDBOX *c = PG_GETARG_NDBOX_P(0);
+ int dim = DIM(c);
+
+ PG_FREE_IF_COPY(c, 0);
+ PG_RETURN_INT32(dim);
+}
+
+/* Return a specific normalized LL coordinate */
+Datum
+cube_ll_coord(PG_FUNCTION_ARGS)
+{
+ NDBOX *c = PG_GETARG_NDBOX_P(0);
+ int n = PG_GETARG_INT32(1);
+ double result;
+
+ if (DIM(c) >= n && n > 0)
+ result = Min(LL_COORD(c, n - 1), UR_COORD(c, n - 1));
+ else
+ result = 0;
+
+ PG_FREE_IF_COPY(c, 0);
+ PG_RETURN_FLOAT8(result);
+}
+
+/* Return a specific normalized UR coordinate */
+Datum
+cube_ur_coord(PG_FUNCTION_ARGS)
+{
+ NDBOX *c = PG_GETARG_NDBOX_P(0);
+ int n = PG_GETARG_INT32(1);
+ double result;
+
+ if (DIM(c) >= n && n > 0)
+ result = Max(LL_COORD(c, n - 1), UR_COORD(c, n - 1));
+ else
+ result = 0;
+
+ PG_FREE_IF_COPY(c, 0);
+ PG_RETURN_FLOAT8(result);
+}
+
+/*
+ * Function returns cube coordinate.
+ * Numbers from 1 to DIM denotes first corner coordinates.
+ * Numbers from DIM+1 to 2*DIM denotes second corner coordinates.
+ */
+Datum
+cube_coord(PG_FUNCTION_ARGS)
+{
+ NDBOX *cube = PG_GETARG_NDBOX_P(0);
+ int coord = PG_GETARG_INT32(1);
+
+ if (coord <= 0 || coord > 2 * DIM(cube))
+ ereport(ERROR,
+ (errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
+ errmsg("cube index %d is out of bounds", coord)));
+
+ if (IS_POINT(cube))
+ PG_RETURN_FLOAT8(cube->x[(coord - 1) % DIM(cube)]);
+ else
+ PG_RETURN_FLOAT8(cube->x[coord - 1]);
+}
+
+
+/*----
+ * This function works like cube_coord(), but rearranges coordinates in the
+ * way suitable to support coordinate ordering using KNN-GiST. For historical
+ * reasons this extension allows us to create cubes in form ((2,1),(1,2)) and
+ * instead of normalizing such cube to ((1,1),(2,2)) it stores cube in original
+ * way. But in order to get cubes ordered by one of dimensions from the index
+ * without explicit sort step we need this representation-independent coordinate
+ * getter. Moreover, indexed dataset may contain cubes of different dimensions
+ * number. Accordingly, this coordinate getter should be able to return
+ * lower/upper bound for particular dimension independently on number of cube
+ * dimensions. Also, KNN-GiST supports only ascending sorting. In order to
+ * support descending sorting, this function returns inverse of value when
+ * negative coordinate is given.
+ *
+ * Long story short, this function uses following meaning of coordinates:
+ * # (2 * N - 1) -- lower bound of Nth dimension,
+ * # (2 * N) -- upper bound of Nth dimension,
+ * # - (2 * N - 1) -- negative of lower bound of Nth dimension,
+ * # - (2 * N) -- negative of upper bound of Nth dimension.
+ *
+ * When given coordinate exceeds number of cube dimensions, then 0 returned
+ * (reproducing logic of GiST indexing of variable-length cubes).
+ */
+Datum
+cube_coord_llur(PG_FUNCTION_ARGS)
+{
+ NDBOX *cube = PG_GETARG_NDBOX_P(0);
+ int coord = PG_GETARG_INT32(1);
+ bool inverse = false;
+ float8 result;
+
+ /* 0 is the only unsupported coordinate value */
+ if (coord == 0)
+ ereport(ERROR,
+ (errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
+ errmsg("zero cube index is not defined")));
+
+ /* Return inversed value for negative coordinate */
+ if (coord < 0)
+ {
+ coord = -coord;
+ inverse = true;
+ }
+
+ if (coord <= 2 * DIM(cube))
+ {
+ /* dimension index */
+ int index = (coord - 1) / 2;
+
+ /* whether this is upper bound (lower bound otherwise) */
+ bool upper = ((coord - 1) % 2 == 1);
+
+ if (IS_POINT(cube))
+ {
+ result = cube->x[index];
+ }
+ else
+ {
+ if (upper)
+ result = Max(cube->x[index], cube->x[index + DIM(cube)]);
+ else
+ result = Min(cube->x[index], cube->x[index + DIM(cube)]);
+ }
+ }
+ else
+ {
+ /*
+ * Return zero if coordinate is out of bound. That reproduces logic
+ * of how cubes with low dimension number are expanded during GiST
+ * indexing.
+ */
+ result = 0.0;
+ }
+
+ /* Inverse value if needed */
+ if (inverse)
+ result = -result;
+
+ PG_RETURN_FLOAT8(result);
+}
+
+/* Increase or decrease box size by a radius in at least n dimensions. */
+Datum
+cube_enlarge(PG_FUNCTION_ARGS)
+{
+ NDBOX *a = PG_GETARG_NDBOX_P(0);
+ double r = PG_GETARG_FLOAT8(1);
+ int32 n = PG_GETARG_INT32(2);
+ NDBOX *result;
+ int dim = 0;
+ int size;
+ int i,
+ j;
+
+ if (n > CUBE_MAX_DIM)
+ n = CUBE_MAX_DIM;
+ if (r > 0 && n > 0)
+ dim = n;
+ if (DIM(a) > dim)
+ dim = DIM(a);
+
+ size = CUBE_SIZE(dim);
+ result = (NDBOX *) palloc0(size);
+ SET_VARSIZE(result, size);
+ SET_DIM(result, dim);
+
+ for (i = 0, j = dim; i < DIM(a); i++, j++)
+ {
+ if (LL_COORD(a, i) >= UR_COORD(a, i))
+ {
+ result->x[i] = UR_COORD(a, i) - r;
+ result->x[j] = LL_COORD(a, i) + r;
+ }
+ else
+ {
+ result->x[i] = LL_COORD(a, i) - r;
+ result->x[j] = UR_COORD(a, i) + r;
+ }
+ if (result->x[i] > result->x[j])
+ {
+ result->x[i] = (result->x[i] + result->x[j]) / 2;
+ result->x[j] = result->x[i];
+ }
+ }
+ /* dim > a->dim only if r > 0 */
+ for (; i < dim; i++, j++)
+ {
+ result->x[i] = -r;
+ result->x[j] = r;
+ }
+
+ /*
+ * Check if the result was in fact a point, and set the flag in the datum
+ * accordingly. (we don't bother to repalloc it smaller)
+ */
+ if (cube_is_point_internal(result))
+ {
+ size = POINT_SIZE(dim);
+ SET_VARSIZE(result, size);
+ SET_POINT_BIT(result);
+ }
+
+ PG_FREE_IF_COPY(a, 0);
+ PG_RETURN_NDBOX_P(result);
+}
+
+/* Create a one dimensional box with identical upper and lower coordinates */
+Datum
+cube_f8(PG_FUNCTION_ARGS)
+{
+ double x = PG_GETARG_FLOAT8(0);
+ NDBOX *result;
+ int size;
+
+ size = POINT_SIZE(1);
+ result = (NDBOX *) palloc0(size);
+ SET_VARSIZE(result, size);
+ SET_DIM(result, 1);
+ SET_POINT_BIT(result);
+ result->x[0] = x;
+
+ PG_RETURN_NDBOX_P(result);
+}
+
+/* Create a one dimensional box */
+Datum
+cube_f8_f8(PG_FUNCTION_ARGS)
+{
+ double x0 = PG_GETARG_FLOAT8(0);
+ double x1 = PG_GETARG_FLOAT8(1);
+ NDBOX *result;
+ int size;
+
+ if (x0 == x1)
+ {
+ size = POINT_SIZE(1);
+ result = (NDBOX *) palloc0(size);
+ SET_VARSIZE(result, size);
+ SET_DIM(result, 1);
+ SET_POINT_BIT(result);
+ result->x[0] = x0;
+ }
+ else
+ {
+ size = CUBE_SIZE(1);
+ result = (NDBOX *) palloc0(size);
+ SET_VARSIZE(result, size);
+ SET_DIM(result, 1);
+ result->x[0] = x0;
+ result->x[1] = x1;
+ }
+
+ PG_RETURN_NDBOX_P(result);
+}
+
+/* Add a dimension to an existing cube with the same values for the new
+ coordinate */
+Datum
+cube_c_f8(PG_FUNCTION_ARGS)
+{
+ NDBOX *cube = PG_GETARG_NDBOX_P(0);
+ double x = PG_GETARG_FLOAT8(1);
+ NDBOX *result;
+ int size;
+ int i;
+
+ if (DIM(cube) + 1 > CUBE_MAX_DIM)
+ ereport(ERROR,
+ (errcode(ERRCODE_PROGRAM_LIMIT_EXCEEDED),
+ errmsg("can't extend cube"),
+ errdetail("A cube cannot have more than %d dimensions.",
+ CUBE_MAX_DIM)));
+
+ if (IS_POINT(cube))
+ {
+ size = POINT_SIZE((DIM(cube) + 1));
+ result = (NDBOX *) palloc0(size);
+ SET_VARSIZE(result, size);
+ SET_DIM(result, DIM(cube) + 1);
+ SET_POINT_BIT(result);
+ for (i = 0; i < DIM(cube); i++)
+ result->x[i] = cube->x[i];
+ result->x[DIM(result) - 1] = x;
+ }
+ else
+ {
+ size = CUBE_SIZE((DIM(cube) + 1));
+ result = (NDBOX *) palloc0(size);
+ SET_VARSIZE(result, size);
+ SET_DIM(result, DIM(cube) + 1);
+ for (i = 0; i < DIM(cube); i++)
+ {
+ result->x[i] = cube->x[i];
+ result->x[DIM(result) + i] = cube->x[DIM(cube) + i];
+ }
+ result->x[DIM(result) - 1] = x;
+ result->x[2 * DIM(result) - 1] = x;
+ }
+
+ PG_FREE_IF_COPY(cube, 0);
+ PG_RETURN_NDBOX_P(result);
+}
+
+/* Add a dimension to an existing cube */
+Datum
+cube_c_f8_f8(PG_FUNCTION_ARGS)
+{
+ NDBOX *cube = PG_GETARG_NDBOX_P(0);
+ double x1 = PG_GETARG_FLOAT8(1);
+ double x2 = PG_GETARG_FLOAT8(2);
+ NDBOX *result;
+ int size;
+ int i;
+
+ if (DIM(cube) + 1 > CUBE_MAX_DIM)
+ ereport(ERROR,
+ (errcode(ERRCODE_PROGRAM_LIMIT_EXCEEDED),
+ errmsg("can't extend cube"),
+ errdetail("A cube cannot have more than %d dimensions.",
+ CUBE_MAX_DIM)));
+
+ if (IS_POINT(cube) && (x1 == x2))
+ {
+ size = POINT_SIZE((DIM(cube) + 1));
+ result = (NDBOX *) palloc0(size);
+ SET_VARSIZE(result, size);
+ SET_DIM(result, DIM(cube) + 1);
+ SET_POINT_BIT(result);
+ for (i = 0; i < DIM(cube); i++)
+ result->x[i] = cube->x[i];
+ result->x[DIM(result) - 1] = x1;
+ }
+ else
+ {
+ size = CUBE_SIZE((DIM(cube) + 1));
+ result = (NDBOX *) palloc0(size);
+ SET_VARSIZE(result, size);
+ SET_DIM(result, DIM(cube) + 1);
+ for (i = 0; i < DIM(cube); i++)
+ {
+ result->x[i] = LL_COORD(cube, i);
+ result->x[DIM(result) + i] = UR_COORD(cube, i);
+ }
+ result->x[DIM(result) - 1] = x1;
+ result->x[2 * DIM(result) - 1] = x2;
+ }
+
+ PG_FREE_IF_COPY(cube, 0);
+ PG_RETURN_NDBOX_P(result);
+}
diff --git a/contrib/cube/cube.control b/contrib/cube/cube.control
new file mode 100644
index 0000000..50427ec
--- /dev/null
+++ b/contrib/cube/cube.control
@@ -0,0 +1,6 @@
+# cube extension
+comment = 'data type for multidimensional cubes'
+default_version = '1.5'
+module_pathname = '$libdir/cube'
+relocatable = true
+trusted = true
diff --git a/contrib/cube/cubedata.h b/contrib/cube/cubedata.h
new file mode 100644
index 0000000..dbe7d4f
--- /dev/null
+++ b/contrib/cube/cubedata.h
@@ -0,0 +1,69 @@
+/* contrib/cube/cubedata.h */
+
+/*
+ * This limit is pretty arbitrary, but don't make it so large that you
+ * risk overflow in sizing calculations.
+ */
+#define CUBE_MAX_DIM (100)
+
+typedef struct NDBOX
+{
+ /* varlena header (do not touch directly!) */
+ int32 vl_len_;
+
+ /*----------
+ * Header contains info about NDBOX. For binary compatibility with old
+ * versions, it is defined as "unsigned int".
+ *
+ * Following information is stored:
+ *
+ * bits 0-7 : number of cube dimensions;
+ * bits 8-30 : unused, initialize to zero;
+ * bit 31 : point flag. If set, the upper right coordinates are not
+ * stored, and are implicitly the same as the lower left
+ * coordinates.
+ *----------
+ */
+ unsigned int header;
+
+ /*
+ * The lower left coordinates for each dimension come first, followed by
+ * upper right coordinates unless the point flag is set.
+ */
+ double x[FLEXIBLE_ARRAY_MEMBER];
+} NDBOX;
+
+/* NDBOX access macros */
+#define POINT_BIT 0x80000000
+#define DIM_MASK 0x7fffffff
+
+#define IS_POINT(cube) ( ((cube)->header & POINT_BIT) != 0 )
+#define SET_POINT_BIT(cube) ( (cube)->header |= POINT_BIT )
+#define DIM(cube) ( (cube)->header & DIM_MASK )
+#define SET_DIM(cube, _dim) ( (cube)->header = ((cube)->header & ~DIM_MASK) | (_dim) )
+
+#define LL_COORD(cube, i) ( (cube)->x[i] )
+#define UR_COORD(cube, i) ( IS_POINT(cube) ? (cube)->x[i] : (cube)->x[(i) + DIM(cube)] )
+
+#define POINT_SIZE(_dim) (offsetof(NDBOX, x) + sizeof(double)*(_dim))
+#define CUBE_SIZE(_dim) (offsetof(NDBOX, x) + sizeof(double)*(_dim)*2)
+
+/* fmgr interface macros */
+#define DatumGetNDBOXP(x) ((NDBOX *) PG_DETOAST_DATUM(x))
+#define PG_GETARG_NDBOX_P(x) DatumGetNDBOXP(PG_GETARG_DATUM(x))
+#define PG_RETURN_NDBOX_P(x) PG_RETURN_POINTER(x)
+
+/* GiST operator strategy numbers */
+#define CubeKNNDistanceCoord 15 /* ~> */
+#define CubeKNNDistanceTaxicab 16 /* <#> */
+#define CubeKNNDistanceEuclid 17 /* <-> */
+#define CubeKNNDistanceChebyshev 18 /* <=> */
+
+/* in cubescan.l */
+extern int cube_yylex(void);
+extern void cube_yyerror(NDBOX **result, const char *message) pg_attribute_noreturn();
+extern void cube_scanner_init(const char *str);
+extern void cube_scanner_finish(void);
+
+/* in cubeparse.y */
+extern int cube_yyparse(NDBOX **result);
diff --git a/contrib/cube/cubeparse.c b/contrib/cube/cubeparse.c
new file mode 100644
index 0000000..273fbc1
--- /dev/null
+++ b/contrib/cube/cubeparse.c
@@ -0,0 +1,1591 @@
+/* A Bison parser, made by GNU Bison 3.7.5. */
+
+/* Bison implementation for Yacc-like parsers in C
+
+ Copyright (C) 1984, 1989-1990, 2000-2015, 2018-2021 Free Software Foundation,
+ Inc.
+
+ This program is free software: you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program. If not, see <http://www.gnu.org/licenses/>. */
+
+/* As a special exception, you may create a larger work that contains
+ part or all of the Bison parser skeleton and distribute that work
+ under terms of your choice, so long as that work isn't itself a
+ parser generator using the skeleton or a modified version thereof
+ as a parser skeleton. Alternatively, if you modify or redistribute
+ the parser skeleton itself, you may (at your option) remove this
+ special exception, which will cause the skeleton and the resulting
+ Bison output files to be licensed under the GNU General Public
+ License without this special exception.
+
+ This special exception was added by the Free Software Foundation in
+ version 2.2 of Bison. */
+
+/* C LALR(1) parser skeleton written by Richard Stallman, by
+ simplifying the original so-called "semantic" parser. */
+
+/* DO NOT RELY ON FEATURES THAT ARE NOT DOCUMENTED in the manual,
+ especially those whose name start with YY_ or yy_. They are
+ private implementation details that can be changed or removed. */
+
+/* All symbols defined below should begin with yy or YY, to avoid
+ infringing on user name space. This should be done even for local
+ variables, as they might otherwise be expanded by user macros.
+ There are some unavoidable exceptions within include files to
+ define necessary library symbols; they are noted "INFRINGES ON
+ USER NAME SPACE" below. */
+
+/* Identify Bison output, and Bison version. */
+#define YYBISON 30705
+
+/* Bison version string. */
+#define YYBISON_VERSION "3.7.5"
+
+/* Skeleton name. */
+#define YYSKELETON_NAME "yacc.c"
+
+/* Pure parsers. */
+#define YYPURE 0
+
+/* Push parsers. */
+#define YYPUSH 0
+
+/* Pull parsers. */
+#define YYPULL 1
+
+
+/* Substitute the variable and function names. */
+#define yyparse cube_yyparse
+#define yylex cube_yylex
+#define yyerror cube_yyerror
+#define yydebug cube_yydebug
+#define yynerrs cube_yynerrs
+#define yylval cube_yylval
+#define yychar cube_yychar
+
+/* First part of user prologue. */
+#line 1 "cubeparse.y"
+
+/* contrib/cube/cubeparse.y */
+
+/* NdBox = [(lowerleft),(upperright)] */
+/* [(xLL(1)...xLL(N)),(xUR(1)...xUR(n))] */
+
+#include "postgres.h"
+
+#include "cubedata.h"
+#include "utils/float.h"
+
+/* All grammar constructs return strings */
+#define YYSTYPE char *
+
+/*
+ * Bison doesn't allocate anything that needs to live across parser calls,
+ * so we can easily have it use palloc instead of malloc. This prevents
+ * memory leaks if we error out during parsing. Note this only works with
+ * bison >= 2.0. However, in bison 1.875 the default is to use alloca()
+ * if possible, so there's not really much problem anyhow, at least if
+ * you're building with gcc.
+ */
+#define YYMALLOC palloc
+#define YYFREE pfree
+
+static char *scanbuf;
+static int scanbuflen;
+
+static int item_count(const char *s, char delim);
+static NDBOX *write_box(int dim, char *str1, char *str2);
+static NDBOX *write_point_as_box(int dim, char *str);
+
+
+#line 112 "cubeparse.c"
+
+# ifndef YY_CAST
+# ifdef __cplusplus
+# define YY_CAST(Type, Val) static_cast<Type> (Val)
+# define YY_REINTERPRET_CAST(Type, Val) reinterpret_cast<Type> (Val)
+# else
+# define YY_CAST(Type, Val) ((Type) (Val))
+# define YY_REINTERPRET_CAST(Type, Val) ((Type) (Val))
+# endif
+# endif
+# ifndef YY_NULLPTR
+# if defined __cplusplus
+# if 201103L <= __cplusplus
+# define YY_NULLPTR nullptr
+# else
+# define YY_NULLPTR 0
+# endif
+# else
+# define YY_NULLPTR ((void*)0)
+# endif
+# endif
+
+
+/* Debug traces. */
+#ifndef YYDEBUG
+# define YYDEBUG 0
+#endif
+#if YYDEBUG
+extern int cube_yydebug;
+#endif
+
+/* Token kinds. */
+#ifndef YYTOKENTYPE
+# define YYTOKENTYPE
+ enum yytokentype
+ {
+ YYEMPTY = -2,
+ YYEOF = 0, /* "end of file" */
+ YYerror = 256, /* error */
+ YYUNDEF = 257, /* "invalid token" */
+ CUBEFLOAT = 258, /* CUBEFLOAT */
+ O_PAREN = 259, /* O_PAREN */
+ C_PAREN = 260, /* C_PAREN */
+ O_BRACKET = 261, /* O_BRACKET */
+ C_BRACKET = 262, /* C_BRACKET */
+ COMMA = 263 /* COMMA */
+ };
+ typedef enum yytokentype yytoken_kind_t;
+#endif
+
+/* Value type. */
+#if ! defined YYSTYPE && ! defined YYSTYPE_IS_DECLARED
+typedef int YYSTYPE;
+# define YYSTYPE_IS_TRIVIAL 1
+# define YYSTYPE_IS_DECLARED 1
+#endif
+
+
+extern YYSTYPE cube_yylval;
+
+int cube_yyparse (NDBOX **result);
+
+
+/* Symbol kind. */
+enum yysymbol_kind_t
+{
+ YYSYMBOL_YYEMPTY = -2,
+ YYSYMBOL_YYEOF = 0, /* "end of file" */
+ YYSYMBOL_YYerror = 1, /* error */
+ YYSYMBOL_YYUNDEF = 2, /* "invalid token" */
+ YYSYMBOL_CUBEFLOAT = 3, /* CUBEFLOAT */
+ YYSYMBOL_O_PAREN = 4, /* O_PAREN */
+ YYSYMBOL_C_PAREN = 5, /* C_PAREN */
+ YYSYMBOL_O_BRACKET = 6, /* O_BRACKET */
+ YYSYMBOL_C_BRACKET = 7, /* C_BRACKET */
+ YYSYMBOL_COMMA = 8, /* COMMA */
+ YYSYMBOL_YYACCEPT = 9, /* $accept */
+ YYSYMBOL_box = 10, /* box */
+ YYSYMBOL_paren_list = 11, /* paren_list */
+ YYSYMBOL_list = 12 /* list */
+};
+typedef enum yysymbol_kind_t yysymbol_kind_t;
+
+
+
+
+#ifdef short
+# undef short
+#endif
+
+/* On compilers that do not define __PTRDIFF_MAX__ etc., make sure
+ <limits.h> and (if available) <stdint.h> are included
+ so that the code can choose integer types of a good width. */
+
+#ifndef __PTRDIFF_MAX__
+# include <limits.h> /* INFRINGES ON USER NAME SPACE */
+# if defined __STDC_VERSION__ && 199901 <= __STDC_VERSION__
+# include <stdint.h> /* INFRINGES ON USER NAME SPACE */
+# define YY_STDINT_H
+# endif
+#endif
+
+/* Narrow types that promote to a signed type and that can represent a
+ signed or unsigned integer of at least N bits. In tables they can
+ save space and decrease cache pressure. Promoting to a signed type
+ helps avoid bugs in integer arithmetic. */
+
+#ifdef __INT_LEAST8_MAX__
+typedef __INT_LEAST8_TYPE__ yytype_int8;
+#elif defined YY_STDINT_H
+typedef int_least8_t yytype_int8;
+#else
+typedef signed char yytype_int8;
+#endif
+
+#ifdef __INT_LEAST16_MAX__
+typedef __INT_LEAST16_TYPE__ yytype_int16;
+#elif defined YY_STDINT_H
+typedef int_least16_t yytype_int16;
+#else
+typedef short yytype_int16;
+#endif
+
+/* Work around bug in HP-UX 11.23, which defines these macros
+ incorrectly for preprocessor constants. This workaround can likely
+ be removed in 2023, as HPE has promised support for HP-UX 11.23
+ (aka HP-UX 11i v2) only through the end of 2022; see Table 2 of
+ <https://h20195.www2.hpe.com/V2/getpdf.aspx/4AA4-7673ENW.pdf>. */
+#ifdef __hpux
+# undef UINT_LEAST8_MAX
+# undef UINT_LEAST16_MAX
+# define UINT_LEAST8_MAX 255
+# define UINT_LEAST16_MAX 65535
+#endif
+
+#if defined __UINT_LEAST8_MAX__ && __UINT_LEAST8_MAX__ <= __INT_MAX__
+typedef __UINT_LEAST8_TYPE__ yytype_uint8;
+#elif (!defined __UINT_LEAST8_MAX__ && defined YY_STDINT_H \
+ && UINT_LEAST8_MAX <= INT_MAX)
+typedef uint_least8_t yytype_uint8;
+#elif !defined __UINT_LEAST8_MAX__ && UCHAR_MAX <= INT_MAX
+typedef unsigned char yytype_uint8;
+#else
+typedef short yytype_uint8;
+#endif
+
+#if defined __UINT_LEAST16_MAX__ && __UINT_LEAST16_MAX__ <= __INT_MAX__
+typedef __UINT_LEAST16_TYPE__ yytype_uint16;
+#elif (!defined __UINT_LEAST16_MAX__ && defined YY_STDINT_H \
+ && UINT_LEAST16_MAX <= INT_MAX)
+typedef uint_least16_t yytype_uint16;
+#elif !defined __UINT_LEAST16_MAX__ && USHRT_MAX <= INT_MAX
+typedef unsigned short yytype_uint16;
+#else
+typedef int yytype_uint16;
+#endif
+
+#ifndef YYPTRDIFF_T
+# if defined __PTRDIFF_TYPE__ && defined __PTRDIFF_MAX__
+# define YYPTRDIFF_T __PTRDIFF_TYPE__
+# define YYPTRDIFF_MAXIMUM __PTRDIFF_MAX__
+# elif defined PTRDIFF_MAX
+# ifndef ptrdiff_t
+# include <stddef.h> /* INFRINGES ON USER NAME SPACE */
+# endif
+# define YYPTRDIFF_T ptrdiff_t
+# define YYPTRDIFF_MAXIMUM PTRDIFF_MAX
+# else
+# define YYPTRDIFF_T long
+# define YYPTRDIFF_MAXIMUM LONG_MAX
+# endif
+#endif
+
+#ifndef YYSIZE_T
+# ifdef __SIZE_TYPE__
+# define YYSIZE_T __SIZE_TYPE__
+# elif defined size_t
+# define YYSIZE_T size_t
+# elif defined __STDC_VERSION__ && 199901 <= __STDC_VERSION__
+# include <stddef.h> /* INFRINGES ON USER NAME SPACE */
+# define YYSIZE_T size_t
+# else
+# define YYSIZE_T unsigned
+# endif
+#endif
+
+#define YYSIZE_MAXIMUM \
+ YY_CAST (YYPTRDIFF_T, \
+ (YYPTRDIFF_MAXIMUM < YY_CAST (YYSIZE_T, -1) \
+ ? YYPTRDIFF_MAXIMUM \
+ : YY_CAST (YYSIZE_T, -1)))
+
+#define YYSIZEOF(X) YY_CAST (YYPTRDIFF_T, sizeof (X))
+
+
+/* Stored state numbers (used for stacks). */
+typedef yytype_int8 yy_state_t;
+
+/* State numbers in computations. */
+typedef int yy_state_fast_t;
+
+#ifndef YY_
+# if defined YYENABLE_NLS && YYENABLE_NLS
+# if ENABLE_NLS
+# include <libintl.h> /* INFRINGES ON USER NAME SPACE */
+# define YY_(Msgid) dgettext ("bison-runtime", Msgid)
+# endif
+# endif
+# ifndef YY_
+# define YY_(Msgid) Msgid
+# endif
+#endif
+
+
+#ifndef YY_ATTRIBUTE_PURE
+# if defined __GNUC__ && 2 < __GNUC__ + (96 <= __GNUC_MINOR__)
+# define YY_ATTRIBUTE_PURE __attribute__ ((__pure__))
+# else
+# define YY_ATTRIBUTE_PURE
+# endif
+#endif
+
+#ifndef YY_ATTRIBUTE_UNUSED
+# if defined __GNUC__ && 2 < __GNUC__ + (7 <= __GNUC_MINOR__)
+# define YY_ATTRIBUTE_UNUSED __attribute__ ((__unused__))
+# else
+# define YY_ATTRIBUTE_UNUSED
+# endif
+#endif
+
+/* Suppress unused-variable warnings by "using" E. */
+#if ! defined lint || defined __GNUC__
+# define YY_USE(E) ((void) (E))
+#else
+# define YY_USE(E) /* empty */
+#endif
+
+#if defined __GNUC__ && ! defined __ICC && 407 <= __GNUC__ * 100 + __GNUC_MINOR__
+/* Suppress an incorrect diagnostic about yylval being uninitialized. */
+# define YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN \
+ _Pragma ("GCC diagnostic push") \
+ _Pragma ("GCC diagnostic ignored \"-Wuninitialized\"") \
+ _Pragma ("GCC diagnostic ignored \"-Wmaybe-uninitialized\"")
+# define YY_IGNORE_MAYBE_UNINITIALIZED_END \
+ _Pragma ("GCC diagnostic pop")
+#else
+# define YY_INITIAL_VALUE(Value) Value
+#endif
+#ifndef YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN
+# define YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN
+# define YY_IGNORE_MAYBE_UNINITIALIZED_END
+#endif
+#ifndef YY_INITIAL_VALUE
+# define YY_INITIAL_VALUE(Value) /* Nothing. */
+#endif
+
+#if defined __cplusplus && defined __GNUC__ && ! defined __ICC && 6 <= __GNUC__
+# define YY_IGNORE_USELESS_CAST_BEGIN \
+ _Pragma ("GCC diagnostic push") \
+ _Pragma ("GCC diagnostic ignored \"-Wuseless-cast\"")
+# define YY_IGNORE_USELESS_CAST_END \
+ _Pragma ("GCC diagnostic pop")
+#endif
+#ifndef YY_IGNORE_USELESS_CAST_BEGIN
+# define YY_IGNORE_USELESS_CAST_BEGIN
+# define YY_IGNORE_USELESS_CAST_END
+#endif
+
+
+#define YY_ASSERT(E) ((void) (0 && (E)))
+
+#if !defined yyoverflow
+
+/* The parser invokes alloca or malloc; define the necessary symbols. */
+
+# ifdef YYSTACK_USE_ALLOCA
+# if YYSTACK_USE_ALLOCA
+# ifdef __GNUC__
+# define YYSTACK_ALLOC __builtin_alloca
+# elif defined __BUILTIN_VA_ARG_INCR
+# include <alloca.h> /* INFRINGES ON USER NAME SPACE */
+# elif defined _AIX
+# define YYSTACK_ALLOC __alloca
+# elif defined _MSC_VER
+# include <malloc.h> /* INFRINGES ON USER NAME SPACE */
+# define alloca _alloca
+# else
+# define YYSTACK_ALLOC alloca
+# if ! defined _ALLOCA_H && ! defined EXIT_SUCCESS
+# include <stdlib.h> /* INFRINGES ON USER NAME SPACE */
+ /* Use EXIT_SUCCESS as a witness for stdlib.h. */
+# ifndef EXIT_SUCCESS
+# define EXIT_SUCCESS 0
+# endif
+# endif
+# endif
+# endif
+# endif
+
+# ifdef YYSTACK_ALLOC
+ /* Pacify GCC's 'empty if-body' warning. */
+# define YYSTACK_FREE(Ptr) do { /* empty */; } while (0)
+# ifndef YYSTACK_ALLOC_MAXIMUM
+ /* The OS might guarantee only one guard page at the bottom of the stack,
+ and a page size can be as small as 4096 bytes. So we cannot safely
+ invoke alloca (N) if N exceeds 4096. Use a slightly smaller number
+ to allow for a few compiler-allocated temporary stack slots. */
+# define YYSTACK_ALLOC_MAXIMUM 4032 /* reasonable circa 2006 */
+# endif
+# else
+# define YYSTACK_ALLOC YYMALLOC
+# define YYSTACK_FREE YYFREE
+# ifndef YYSTACK_ALLOC_MAXIMUM
+# define YYSTACK_ALLOC_MAXIMUM YYSIZE_MAXIMUM
+# endif
+# if (defined __cplusplus && ! defined EXIT_SUCCESS \
+ && ! ((defined YYMALLOC || defined malloc) \
+ && (defined YYFREE || defined free)))
+# include <stdlib.h> /* INFRINGES ON USER NAME SPACE */
+# ifndef EXIT_SUCCESS
+# define EXIT_SUCCESS 0
+# endif
+# endif
+# ifndef YYMALLOC
+# define YYMALLOC malloc
+# if ! defined malloc && ! defined EXIT_SUCCESS
+void *malloc (YYSIZE_T); /* INFRINGES ON USER NAME SPACE */
+# endif
+# endif
+# ifndef YYFREE
+# define YYFREE free
+# if ! defined free && ! defined EXIT_SUCCESS
+void free (void *); /* INFRINGES ON USER NAME SPACE */
+# endif
+# endif
+# endif
+#endif /* !defined yyoverflow */
+
+#if (! defined yyoverflow \
+ && (! defined __cplusplus \
+ || (defined YYSTYPE_IS_TRIVIAL && YYSTYPE_IS_TRIVIAL)))
+
+/* A type that is properly aligned for any stack member. */
+union yyalloc
+{
+ yy_state_t yyss_alloc;
+ YYSTYPE yyvs_alloc;
+};
+
+/* The size of the maximum gap between one aligned stack and the next. */
+# define YYSTACK_GAP_MAXIMUM (YYSIZEOF (union yyalloc) - 1)
+
+/* The size of an array large to enough to hold all stacks, each with
+ N elements. */
+# define YYSTACK_BYTES(N) \
+ ((N) * (YYSIZEOF (yy_state_t) + YYSIZEOF (YYSTYPE)) \
+ + YYSTACK_GAP_MAXIMUM)
+
+# define YYCOPY_NEEDED 1
+
+/* Relocate STACK from its old location to the new one. The
+ local variables YYSIZE and YYSTACKSIZE give the old and new number of
+ elements in the stack, and YYPTR gives the new location of the
+ stack. Advance YYPTR to a properly aligned location for the next
+ stack. */
+# define YYSTACK_RELOCATE(Stack_alloc, Stack) \
+ do \
+ { \
+ YYPTRDIFF_T yynewbytes; \
+ YYCOPY (&yyptr->Stack_alloc, Stack, yysize); \
+ Stack = &yyptr->Stack_alloc; \
+ yynewbytes = yystacksize * YYSIZEOF (*Stack) + YYSTACK_GAP_MAXIMUM; \
+ yyptr += yynewbytes / YYSIZEOF (*yyptr); \
+ } \
+ while (0)
+
+#endif
+
+#if defined YYCOPY_NEEDED && YYCOPY_NEEDED
+/* Copy COUNT objects from SRC to DST. The source and destination do
+ not overlap. */
+# ifndef YYCOPY
+# if defined __GNUC__ && 1 < __GNUC__
+# define YYCOPY(Dst, Src, Count) \
+ __builtin_memcpy (Dst, Src, YY_CAST (YYSIZE_T, (Count)) * sizeof (*(Src)))
+# else
+# define YYCOPY(Dst, Src, Count) \
+ do \
+ { \
+ YYPTRDIFF_T yyi; \
+ for (yyi = 0; yyi < (Count); yyi++) \
+ (Dst)[yyi] = (Src)[yyi]; \
+ } \
+ while (0)
+# endif
+# endif
+#endif /* !YYCOPY_NEEDED */
+
+/* YYFINAL -- State number of the termination state. */
+#define YYFINAL 10
+/* YYLAST -- Last index in YYTABLE. */
+#define YYLAST 17
+
+/* YYNTOKENS -- Number of terminals. */
+#define YYNTOKENS 9
+/* YYNNTS -- Number of nonterminals. */
+#define YYNNTS 4
+/* YYNRULES -- Number of rules. */
+#define YYNRULES 9
+/* YYNSTATES -- Number of states. */
+#define YYNSTATES 19
+
+/* YYMAXUTOK -- Last valid token kind. */
+#define YYMAXUTOK 263
+
+
+/* YYTRANSLATE(TOKEN-NUM) -- Symbol number corresponding to TOKEN-NUM
+ as returned by yylex, with out-of-bounds checking. */
+#define YYTRANSLATE(YYX) \
+ (0 <= (YYX) && (YYX) <= YYMAXUTOK \
+ ? YY_CAST (yysymbol_kind_t, yytranslate[YYX]) \
+ : YYSYMBOL_YYUNDEF)
+
+/* YYTRANSLATE[TOKEN-NUM] -- Symbol number corresponding to TOKEN-NUM
+ as returned by yylex. */
+static const yytype_int8 yytranslate[] =
+{
+ 0, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 1, 2, 3, 4,
+ 5, 6, 7, 8
+};
+
+#if YYDEBUG
+ /* YYRLINE[YYN] -- Source line where rule number YYN was defined. */
+static const yytype_uint8 yyrline[] =
+{
+ 0, 46, 46, 73, 100, 118, 137, 141, 147, 153
+};
+#endif
+
+/** Accessing symbol of state STATE. */
+#define YY_ACCESSING_SYMBOL(State) YY_CAST (yysymbol_kind_t, yystos[State])
+
+#if YYDEBUG || 0
+/* The user-facing name of the symbol whose (internal) number is
+ YYSYMBOL. No bounds checking. */
+static const char *yysymbol_name (yysymbol_kind_t yysymbol) YY_ATTRIBUTE_UNUSED;
+
+/* YYTNAME[SYMBOL-NUM] -- String name of the symbol SYMBOL-NUM.
+ First, the terminals, then, starting at YYNTOKENS, nonterminals. */
+static const char *const yytname[] =
+{
+ "\"end of file\"", "error", "\"invalid token\"", "CUBEFLOAT", "O_PAREN",
+ "C_PAREN", "O_BRACKET", "C_BRACKET", "COMMA", "$accept", "box",
+ "paren_list", "list", YY_NULLPTR
+};
+
+static const char *
+yysymbol_name (yysymbol_kind_t yysymbol)
+{
+ return yytname[yysymbol];
+}
+#endif
+
+#ifdef YYPRINT
+/* YYTOKNUM[NUM] -- (External) token number corresponding to the
+ (internal) symbol number NUM (which must be that of a token). */
+static const yytype_int16 yytoknum[] =
+{
+ 0, 256, 257, 258, 259, 260, 261, 262, 263
+};
+#endif
+
+#define YYPACT_NINF (-4)
+
+#define yypact_value_is_default(Yyn) \
+ ((Yyn) == YYPACT_NINF)
+
+#define YYTABLE_NINF (-1)
+
+#define yytable_value_is_error(Yyn) \
+ 0
+
+ /* YYPACT[STATE-NUM] -- Index in YYTABLE of the portion describing
+ STATE-NUM. */
+static const yytype_int8 yypact[] =
+{
+ -2, -4, 0, 3, 10, 4, 5, -4, 1, 6,
+ -4, 3, 12, -4, 3, -4, -4, 9, -4
+};
+
+ /* YYDEFACT[STATE-NUM] -- Default reduction number in state STATE-NUM.
+ Performed when YYTABLE does not specify something else to do. Zero
+ means the default is an error. */
+static const yytype_int8 yydefact[] =
+{
+ 0, 8, 0, 0, 0, 4, 5, 7, 0, 0,
+ 1, 0, 0, 6, 0, 3, 9, 0, 2
+};
+
+ /* YYPGOTO[NTERM-NUM]. */
+static const yytype_int8 yypgoto[] =
+{
+ -4, -4, -3, 15
+};
+
+ /* YYDEFGOTO[NTERM-NUM]. */
+static const yytype_int8 yydefgoto[] =
+{
+ 0, 4, 5, 6
+};
+
+ /* YYTABLE[YYPACT[STATE-NUM]] -- What to do in state STATE-NUM. If
+ positive, shift that token. If negative, reduce the rule whose
+ number is the opposite. If YYTABLE_NINF, syntax error. */
+static const yytype_int8 yytable[] =
+{
+ 9, 1, 2, 1, 3, 7, 13, 2, 15, 12,
+ 10, 17, 11, 12, 14, 16, 18, 8
+};
+
+static const yytype_int8 yycheck[] =
+{
+ 3, 3, 4, 3, 6, 5, 5, 4, 11, 8,
+ 0, 14, 8, 8, 8, 3, 7, 2
+};
+
+ /* YYSTOS[STATE-NUM] -- The (internal number of the) accessing
+ symbol of state STATE-NUM. */
+static const yytype_int8 yystos[] =
+{
+ 0, 3, 4, 6, 10, 11, 12, 5, 12, 11,
+ 0, 8, 8, 5, 8, 11, 3, 11, 7
+};
+
+ /* YYR1[YYN] -- Symbol number of symbol that rule YYN derives. */
+static const yytype_int8 yyr1[] =
+{
+ 0, 9, 10, 10, 10, 10, 11, 11, 12, 12
+};
+
+ /* YYR2[YYN] -- Number of symbols on the right hand side of rule YYN. */
+static const yytype_int8 yyr2[] =
+{
+ 0, 2, 5, 3, 1, 1, 3, 2, 1, 3
+};
+
+
+enum { YYENOMEM = -2 };
+
+#define yyerrok (yyerrstatus = 0)
+#define yyclearin (yychar = YYEMPTY)
+
+#define YYACCEPT goto yyacceptlab
+#define YYABORT goto yyabortlab
+#define YYERROR goto yyerrorlab
+
+
+#define YYRECOVERING() (!!yyerrstatus)
+
+#define YYBACKUP(Token, Value) \
+ do \
+ if (yychar == YYEMPTY) \
+ { \
+ yychar = (Token); \
+ yylval = (Value); \
+ YYPOPSTACK (yylen); \
+ yystate = *yyssp; \
+ goto yybackup; \
+ } \
+ else \
+ { \
+ yyerror (result, YY_("syntax error: cannot back up")); \
+ YYERROR; \
+ } \
+ while (0)
+
+/* Backward compatibility with an undocumented macro.
+ Use YYerror or YYUNDEF. */
+#define YYERRCODE YYUNDEF
+
+
+/* Enable debugging if requested. */
+#if YYDEBUG
+
+# ifndef YYFPRINTF
+# include <stdio.h> /* INFRINGES ON USER NAME SPACE */
+# define YYFPRINTF fprintf
+# endif
+
+# define YYDPRINTF(Args) \
+do { \
+ if (yydebug) \
+ YYFPRINTF Args; \
+} while (0)
+
+/* This macro is provided for backward compatibility. */
+# ifndef YY_LOCATION_PRINT
+# define YY_LOCATION_PRINT(File, Loc) ((void) 0)
+# endif
+
+
+# define YY_SYMBOL_PRINT(Title, Kind, Value, Location) \
+do { \
+ if (yydebug) \
+ { \
+ YYFPRINTF (stderr, "%s ", Title); \
+ yy_symbol_print (stderr, \
+ Kind, Value, result); \
+ YYFPRINTF (stderr, "\n"); \
+ } \
+} while (0)
+
+
+/*-----------------------------------.
+| Print this symbol's value on YYO. |
+`-----------------------------------*/
+
+static void
+yy_symbol_value_print (FILE *yyo,
+ yysymbol_kind_t yykind, YYSTYPE const * const yyvaluep, NDBOX **result)
+{
+ FILE *yyoutput = yyo;
+ YY_USE (yyoutput);
+ YY_USE (result);
+ if (!yyvaluep)
+ return;
+# ifdef YYPRINT
+ if (yykind < YYNTOKENS)
+ YYPRINT (yyo, yytoknum[yykind], *yyvaluep);
+# endif
+ YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN
+ YY_USE (yykind);
+ YY_IGNORE_MAYBE_UNINITIALIZED_END
+}
+
+
+/*---------------------------.
+| Print this symbol on YYO. |
+`---------------------------*/
+
+static void
+yy_symbol_print (FILE *yyo,
+ yysymbol_kind_t yykind, YYSTYPE const * const yyvaluep, NDBOX **result)
+{
+ YYFPRINTF (yyo, "%s %s (",
+ yykind < YYNTOKENS ? "token" : "nterm", yysymbol_name (yykind));
+
+ yy_symbol_value_print (yyo, yykind, yyvaluep, result);
+ YYFPRINTF (yyo, ")");
+}
+
+/*------------------------------------------------------------------.
+| yy_stack_print -- Print the state stack from its BOTTOM up to its |
+| TOP (included). |
+`------------------------------------------------------------------*/
+
+static void
+yy_stack_print (yy_state_t *yybottom, yy_state_t *yytop)
+{
+ YYFPRINTF (stderr, "Stack now");
+ for (; yybottom <= yytop; yybottom++)
+ {
+ int yybot = *yybottom;
+ YYFPRINTF (stderr, " %d", yybot);
+ }
+ YYFPRINTF (stderr, "\n");
+}
+
+# define YY_STACK_PRINT(Bottom, Top) \
+do { \
+ if (yydebug) \
+ yy_stack_print ((Bottom), (Top)); \
+} while (0)
+
+
+/*------------------------------------------------.
+| Report that the YYRULE is going to be reduced. |
+`------------------------------------------------*/
+
+static void
+yy_reduce_print (yy_state_t *yyssp, YYSTYPE *yyvsp,
+ int yyrule, NDBOX **result)
+{
+ int yylno = yyrline[yyrule];
+ int yynrhs = yyr2[yyrule];
+ int yyi;
+ YYFPRINTF (stderr, "Reducing stack by rule %d (line %d):\n",
+ yyrule - 1, yylno);
+ /* The symbols being reduced. */
+ for (yyi = 0; yyi < yynrhs; yyi++)
+ {
+ YYFPRINTF (stderr, " $%d = ", yyi + 1);
+ yy_symbol_print (stderr,
+ YY_ACCESSING_SYMBOL (+yyssp[yyi + 1 - yynrhs]),
+ &yyvsp[(yyi + 1) - (yynrhs)], result);
+ YYFPRINTF (stderr, "\n");
+ }
+}
+
+# define YY_REDUCE_PRINT(Rule) \
+do { \
+ if (yydebug) \
+ yy_reduce_print (yyssp, yyvsp, Rule, result); \
+} while (0)
+
+/* Nonzero means print parse trace. It is left uninitialized so that
+ multiple parsers can coexist. */
+int yydebug;
+#else /* !YYDEBUG */
+# define YYDPRINTF(Args) ((void) 0)
+# define YY_SYMBOL_PRINT(Title, Kind, Value, Location)
+# define YY_STACK_PRINT(Bottom, Top)
+# define YY_REDUCE_PRINT(Rule)
+#endif /* !YYDEBUG */
+
+
+/* YYINITDEPTH -- initial size of the parser's stacks. */
+#ifndef YYINITDEPTH
+# define YYINITDEPTH 200
+#endif
+
+/* YYMAXDEPTH -- maximum size the stacks can grow to (effective only
+ if the built-in stack extension method is used).
+
+ Do not make this value too large; the results are undefined if
+ YYSTACK_ALLOC_MAXIMUM < YYSTACK_BYTES (YYMAXDEPTH)
+ evaluated with infinite-precision integer arithmetic. */
+
+#ifndef YYMAXDEPTH
+# define YYMAXDEPTH 10000
+#endif
+
+
+
+
+
+
+/*-----------------------------------------------.
+| Release the memory associated to this symbol. |
+`-----------------------------------------------*/
+
+static void
+yydestruct (const char *yymsg,
+ yysymbol_kind_t yykind, YYSTYPE *yyvaluep, NDBOX **result)
+{
+ YY_USE (yyvaluep);
+ YY_USE (result);
+ if (!yymsg)
+ yymsg = "Deleting";
+ YY_SYMBOL_PRINT (yymsg, yykind, yyvaluep, yylocationp);
+
+ YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN
+ YY_USE (yykind);
+ YY_IGNORE_MAYBE_UNINITIALIZED_END
+}
+
+
+/* Lookahead token kind. */
+int yychar;
+
+/* The semantic value of the lookahead symbol. */
+YYSTYPE yylval;
+/* Number of syntax errors so far. */
+int yynerrs;
+
+
+
+
+/*----------.
+| yyparse. |
+`----------*/
+
+int
+yyparse (NDBOX **result)
+{
+ yy_state_fast_t yystate = 0;
+ /* Number of tokens to shift before error messages enabled. */
+ int yyerrstatus = 0;
+
+ /* Refer to the stacks through separate pointers, to allow yyoverflow
+ to reallocate them elsewhere. */
+
+ /* Their size. */
+ YYPTRDIFF_T yystacksize = YYINITDEPTH;
+
+ /* The state stack: array, bottom, top. */
+ yy_state_t yyssa[YYINITDEPTH];
+ yy_state_t *yyss = yyssa;
+ yy_state_t *yyssp = yyss;
+
+ /* The semantic value stack: array, bottom, top. */
+ YYSTYPE yyvsa[YYINITDEPTH];
+ YYSTYPE *yyvs = yyvsa;
+ YYSTYPE *yyvsp = yyvs;
+
+ int yyn;
+ /* The return value of yyparse. */
+ int yyresult;
+ /* Lookahead symbol kind. */
+ yysymbol_kind_t yytoken = YYSYMBOL_YYEMPTY;
+ /* The variables used to return semantic value and location from the
+ action routines. */
+ YYSTYPE yyval;
+
+
+
+#define YYPOPSTACK(N) (yyvsp -= (N), yyssp -= (N))
+
+ /* The number of symbols on the RHS of the reduced rule.
+ Keep to zero when no symbol should be popped. */
+ int yylen = 0;
+
+ YYDPRINTF ((stderr, "Starting parse\n"));
+
+ yychar = YYEMPTY; /* Cause a token to be read. */
+ goto yysetstate;
+
+
+/*------------------------------------------------------------.
+| yynewstate -- push a new state, which is found in yystate. |
+`------------------------------------------------------------*/
+yynewstate:
+ /* In all cases, when you get here, the value and location stacks
+ have just been pushed. So pushing a state here evens the stacks. */
+ yyssp++;
+
+
+/*--------------------------------------------------------------------.
+| yysetstate -- set current state (the top of the stack) to yystate. |
+`--------------------------------------------------------------------*/
+yysetstate:
+ YYDPRINTF ((stderr, "Entering state %d\n", yystate));
+ YY_ASSERT (0 <= yystate && yystate < YYNSTATES);
+ YY_IGNORE_USELESS_CAST_BEGIN
+ *yyssp = YY_CAST (yy_state_t, yystate);
+ YY_IGNORE_USELESS_CAST_END
+ YY_STACK_PRINT (yyss, yyssp);
+
+ if (yyss + yystacksize - 1 <= yyssp)
+#if !defined yyoverflow && !defined YYSTACK_RELOCATE
+ goto yyexhaustedlab;
+#else
+ {
+ /* Get the current used size of the three stacks, in elements. */
+ YYPTRDIFF_T yysize = yyssp - yyss + 1;
+
+# if defined yyoverflow
+ {
+ /* Give user a chance to reallocate the stack. Use copies of
+ these so that the &'s don't force the real ones into
+ memory. */
+ yy_state_t *yyss1 = yyss;
+ YYSTYPE *yyvs1 = yyvs;
+
+ /* Each stack pointer address is followed by the size of the
+ data in use in that stack, in bytes. This used to be a
+ conditional around just the two extra args, but that might
+ be undefined if yyoverflow is a macro. */
+ yyoverflow (YY_("memory exhausted"),
+ &yyss1, yysize * YYSIZEOF (*yyssp),
+ &yyvs1, yysize * YYSIZEOF (*yyvsp),
+ &yystacksize);
+ yyss = yyss1;
+ yyvs = yyvs1;
+ }
+# else /* defined YYSTACK_RELOCATE */
+ /* Extend the stack our own way. */
+ if (YYMAXDEPTH <= yystacksize)
+ goto yyexhaustedlab;
+ yystacksize *= 2;
+ if (YYMAXDEPTH < yystacksize)
+ yystacksize = YYMAXDEPTH;
+
+ {
+ yy_state_t *yyss1 = yyss;
+ union yyalloc *yyptr =
+ YY_CAST (union yyalloc *,
+ YYSTACK_ALLOC (YY_CAST (YYSIZE_T, YYSTACK_BYTES (yystacksize))));
+ if (! yyptr)
+ goto yyexhaustedlab;
+ YYSTACK_RELOCATE (yyss_alloc, yyss);
+ YYSTACK_RELOCATE (yyvs_alloc, yyvs);
+# undef YYSTACK_RELOCATE
+ if (yyss1 != yyssa)
+ YYSTACK_FREE (yyss1);
+ }
+# endif
+
+ yyssp = yyss + yysize - 1;
+ yyvsp = yyvs + yysize - 1;
+
+ YY_IGNORE_USELESS_CAST_BEGIN
+ YYDPRINTF ((stderr, "Stack size increased to %ld\n",
+ YY_CAST (long, yystacksize)));
+ YY_IGNORE_USELESS_CAST_END
+
+ if (yyss + yystacksize - 1 <= yyssp)
+ YYABORT;
+ }
+#endif /* !defined yyoverflow && !defined YYSTACK_RELOCATE */
+
+ if (yystate == YYFINAL)
+ YYACCEPT;
+
+ goto yybackup;
+
+
+/*-----------.
+| yybackup. |
+`-----------*/
+yybackup:
+ /* Do appropriate processing given the current state. Read a
+ lookahead token if we need one and don't already have one. */
+
+ /* First try to decide what to do without reference to lookahead token. */
+ yyn = yypact[yystate];
+ if (yypact_value_is_default (yyn))
+ goto yydefault;
+
+ /* Not known => get a lookahead token if don't already have one. */
+
+ /* YYCHAR is either empty, or end-of-input, or a valid lookahead. */
+ if (yychar == YYEMPTY)
+ {
+ YYDPRINTF ((stderr, "Reading a token\n"));
+ yychar = yylex ();
+ }
+
+ if (yychar <= YYEOF)
+ {
+ yychar = YYEOF;
+ yytoken = YYSYMBOL_YYEOF;
+ YYDPRINTF ((stderr, "Now at end of input.\n"));
+ }
+ else if (yychar == YYerror)
+ {
+ /* The scanner already issued an error message, process directly
+ to error recovery. But do not keep the error token as
+ lookahead, it is too special and may lead us to an endless
+ loop in error recovery. */
+ yychar = YYUNDEF;
+ yytoken = YYSYMBOL_YYerror;
+ goto yyerrlab1;
+ }
+ else
+ {
+ yytoken = YYTRANSLATE (yychar);
+ YY_SYMBOL_PRINT ("Next token is", yytoken, &yylval, &yylloc);
+ }
+
+ /* If the proper action on seeing token YYTOKEN is to reduce or to
+ detect an error, take that action. */
+ yyn += yytoken;
+ if (yyn < 0 || YYLAST < yyn || yycheck[yyn] != yytoken)
+ goto yydefault;
+ yyn = yytable[yyn];
+ if (yyn <= 0)
+ {
+ if (yytable_value_is_error (yyn))
+ goto yyerrlab;
+ yyn = -yyn;
+ goto yyreduce;
+ }
+
+ /* Count tokens shifted since error; after three, turn off error
+ status. */
+ if (yyerrstatus)
+ yyerrstatus--;
+
+ /* Shift the lookahead token. */
+ YY_SYMBOL_PRINT ("Shifting", yytoken, &yylval, &yylloc);
+ yystate = yyn;
+ YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN
+ *++yyvsp = yylval;
+ YY_IGNORE_MAYBE_UNINITIALIZED_END
+
+ /* Discard the shifted token. */
+ yychar = YYEMPTY;
+ goto yynewstate;
+
+
+/*-----------------------------------------------------------.
+| yydefault -- do the default action for the current state. |
+`-----------------------------------------------------------*/
+yydefault:
+ yyn = yydefact[yystate];
+ if (yyn == 0)
+ goto yyerrlab;
+ goto yyreduce;
+
+
+/*-----------------------------.
+| yyreduce -- do a reduction. |
+`-----------------------------*/
+yyreduce:
+ /* yyn is the number of a rule to reduce with. */
+ yylen = yyr2[yyn];
+
+ /* If YYLEN is nonzero, implement the default value of the action:
+ '$$ = $1'.
+
+ Otherwise, the following line sets YYVAL to garbage.
+ This behavior is undocumented and Bison
+ users should not rely upon it. Assigning to YYVAL
+ unconditionally makes the parser a bit smaller, and it avoids a
+ GCC warning that YYVAL may be used uninitialized. */
+ yyval = yyvsp[1-yylen];
+
+
+ YY_REDUCE_PRINT (yyn);
+ switch (yyn)
+ {
+ case 2: /* box: O_BRACKET paren_list COMMA paren_list C_BRACKET */
+#line 47 "cubeparse.y"
+ {
+ int dim;
+
+ dim = item_count(yyvsp[-3], ',');
+ if (item_count(yyvsp[-1], ',') != dim)
+ {
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+ errmsg("invalid input syntax for cube"),
+ errdetail("Different point dimensions in (%s) and (%s).",
+ yyvsp[-3], yyvsp[-1])));
+ YYABORT;
+ }
+ if (dim > CUBE_MAX_DIM)
+ {
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+ errmsg("invalid input syntax for cube"),
+ errdetail("A cube cannot have more than %d dimensions.",
+ CUBE_MAX_DIM)));
+ YYABORT;
+ }
+
+ *result = write_box( dim, yyvsp[-3], yyvsp[-1] );
+ }
+#line 1177 "cubeparse.c"
+ break;
+
+ case 3: /* box: paren_list COMMA paren_list */
+#line 74 "cubeparse.y"
+ {
+ int dim;
+
+ dim = item_count(yyvsp[-2], ',');
+ if (item_count(yyvsp[0], ',') != dim)
+ {
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+ errmsg("invalid input syntax for cube"),
+ errdetail("Different point dimensions in (%s) and (%s).",
+ yyvsp[-2], yyvsp[0])));
+ YYABORT;
+ }
+ if (dim > CUBE_MAX_DIM)
+ {
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+ errmsg("invalid input syntax for cube"),
+ errdetail("A cube cannot have more than %d dimensions.",
+ CUBE_MAX_DIM)));
+ YYABORT;
+ }
+
+ *result = write_box( dim, yyvsp[-2], yyvsp[0] );
+ }
+#line 1207 "cubeparse.c"
+ break;
+
+ case 4: /* box: paren_list */
+#line 101 "cubeparse.y"
+ {
+ int dim;
+
+ dim = item_count(yyvsp[0], ',');
+ if (dim > CUBE_MAX_DIM)
+ {
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+ errmsg("invalid input syntax for cube"),
+ errdetail("A cube cannot have more than %d dimensions.",
+ CUBE_MAX_DIM)));
+ YYABORT;
+ }
+
+ *result = write_point_as_box(dim, yyvsp[0]);
+ }
+#line 1228 "cubeparse.c"
+ break;
+
+ case 5: /* box: list */
+#line 119 "cubeparse.y"
+ {
+ int dim;
+
+ dim = item_count(yyvsp[0], ',');
+ if (dim > CUBE_MAX_DIM)
+ {
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+ errmsg("invalid input syntax for cube"),
+ errdetail("A cube cannot have more than %d dimensions.",
+ CUBE_MAX_DIM)));
+ YYABORT;
+ }
+
+ *result = write_point_as_box(dim, yyvsp[0]);
+ }
+#line 1249 "cubeparse.c"
+ break;
+
+ case 6: /* paren_list: O_PAREN list C_PAREN */
+#line 138 "cubeparse.y"
+ {
+ yyval = yyvsp[-1];
+ }
+#line 1257 "cubeparse.c"
+ break;
+
+ case 7: /* paren_list: O_PAREN C_PAREN */
+#line 142 "cubeparse.y"
+ {
+ yyval = pstrdup("");
+ }
+#line 1265 "cubeparse.c"
+ break;
+
+ case 8: /* list: CUBEFLOAT */
+#line 148 "cubeparse.y"
+ {
+ /* alloc enough space to be sure whole list will fit */
+ yyval = palloc(scanbuflen + 1);
+ strcpy(yyval, yyvsp[0]);
+ }
+#line 1275 "cubeparse.c"
+ break;
+
+ case 9: /* list: list COMMA CUBEFLOAT */
+#line 154 "cubeparse.y"
+ {
+ yyval = yyvsp[-2];
+ strcat(yyval, ",");
+ strcat(yyval, yyvsp[0]);
+ }
+#line 1285 "cubeparse.c"
+ break;
+
+
+#line 1289 "cubeparse.c"
+
+ default: break;
+ }
+ /* User semantic actions sometimes alter yychar, and that requires
+ that yytoken be updated with the new translation. We take the
+ approach of translating immediately before every use of yytoken.
+ One alternative is translating here after every semantic action,
+ but that translation would be missed if the semantic action invokes
+ YYABORT, YYACCEPT, or YYERROR immediately after altering yychar or
+ if it invokes YYBACKUP. In the case of YYABORT or YYACCEPT, an
+ incorrect destructor might then be invoked immediately. In the
+ case of YYERROR or YYBACKUP, subsequent parser actions might lead
+ to an incorrect destructor call or verbose syntax error message
+ before the lookahead is translated. */
+ YY_SYMBOL_PRINT ("-> $$ =", YY_CAST (yysymbol_kind_t, yyr1[yyn]), &yyval, &yyloc);
+
+ YYPOPSTACK (yylen);
+ yylen = 0;
+
+ *++yyvsp = yyval;
+
+ /* Now 'shift' the result of the reduction. Determine what state
+ that goes to, based on the state we popped back to and the rule
+ number reduced by. */
+ {
+ const int yylhs = yyr1[yyn] - YYNTOKENS;
+ const int yyi = yypgoto[yylhs] + *yyssp;
+ yystate = (0 <= yyi && yyi <= YYLAST && yycheck[yyi] == *yyssp
+ ? yytable[yyi]
+ : yydefgoto[yylhs]);
+ }
+
+ goto yynewstate;
+
+
+/*--------------------------------------.
+| yyerrlab -- here on detecting error. |
+`--------------------------------------*/
+yyerrlab:
+ /* Make sure we have latest lookahead translation. See comments at
+ user semantic actions for why this is necessary. */
+ yytoken = yychar == YYEMPTY ? YYSYMBOL_YYEMPTY : YYTRANSLATE (yychar);
+ /* If not already recovering from an error, report this error. */
+ if (!yyerrstatus)
+ {
+ ++yynerrs;
+ yyerror (result, YY_("syntax error"));
+ }
+
+ if (yyerrstatus == 3)
+ {
+ /* If just tried and failed to reuse lookahead token after an
+ error, discard it. */
+
+ if (yychar <= YYEOF)
+ {
+ /* Return failure if at end of input. */
+ if (yychar == YYEOF)
+ YYABORT;
+ }
+ else
+ {
+ yydestruct ("Error: discarding",
+ yytoken, &yylval, result);
+ yychar = YYEMPTY;
+ }
+ }
+
+ /* Else will try to reuse lookahead token after shifting the error
+ token. */
+ goto yyerrlab1;
+
+
+/*---------------------------------------------------.
+| yyerrorlab -- error raised explicitly by YYERROR. |
+`---------------------------------------------------*/
+yyerrorlab:
+ /* Pacify compilers when the user code never invokes YYERROR and the
+ label yyerrorlab therefore never appears in user code. */
+ if (0)
+ YYERROR;
+
+ /* Do not reclaim the symbols of the rule whose action triggered
+ this YYERROR. */
+ YYPOPSTACK (yylen);
+ yylen = 0;
+ YY_STACK_PRINT (yyss, yyssp);
+ yystate = *yyssp;
+ goto yyerrlab1;
+
+
+/*-------------------------------------------------------------.
+| yyerrlab1 -- common code for both syntax error and YYERROR. |
+`-------------------------------------------------------------*/
+yyerrlab1:
+ yyerrstatus = 3; /* Each real token shifted decrements this. */
+
+ /* Pop stack until we find a state that shifts the error token. */
+ for (;;)
+ {
+ yyn = yypact[yystate];
+ if (!yypact_value_is_default (yyn))
+ {
+ yyn += YYSYMBOL_YYerror;
+ if (0 <= yyn && yyn <= YYLAST && yycheck[yyn] == YYSYMBOL_YYerror)
+ {
+ yyn = yytable[yyn];
+ if (0 < yyn)
+ break;
+ }
+ }
+
+ /* Pop the current state because it cannot handle the error token. */
+ if (yyssp == yyss)
+ YYABORT;
+
+
+ yydestruct ("Error: popping",
+ YY_ACCESSING_SYMBOL (yystate), yyvsp, result);
+ YYPOPSTACK (1);
+ yystate = *yyssp;
+ YY_STACK_PRINT (yyss, yyssp);
+ }
+
+ YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN
+ *++yyvsp = yylval;
+ YY_IGNORE_MAYBE_UNINITIALIZED_END
+
+
+ /* Shift the error token. */
+ YY_SYMBOL_PRINT ("Shifting", YY_ACCESSING_SYMBOL (yyn), yyvsp, yylsp);
+
+ yystate = yyn;
+ goto yynewstate;
+
+
+/*-------------------------------------.
+| yyacceptlab -- YYACCEPT comes here. |
+`-------------------------------------*/
+yyacceptlab:
+ yyresult = 0;
+ goto yyreturn;
+
+
+/*-----------------------------------.
+| yyabortlab -- YYABORT comes here. |
+`-----------------------------------*/
+yyabortlab:
+ yyresult = 1;
+ goto yyreturn;
+
+
+#if !defined yyoverflow
+/*-------------------------------------------------.
+| yyexhaustedlab -- memory exhaustion comes here. |
+`-------------------------------------------------*/
+yyexhaustedlab:
+ yyerror (result, YY_("memory exhausted"));
+ yyresult = 2;
+ goto yyreturn;
+#endif
+
+
+/*-------------------------------------------------------.
+| yyreturn -- parsing is finished, clean up and return. |
+`-------------------------------------------------------*/
+yyreturn:
+ if (yychar != YYEMPTY)
+ {
+ /* Make sure we have latest lookahead translation. See comments at
+ user semantic actions for why this is necessary. */
+ yytoken = YYTRANSLATE (yychar);
+ yydestruct ("Cleanup: discarding lookahead",
+ yytoken, &yylval, result);
+ }
+ /* Do not reclaim the symbols of the rule whose action triggered
+ this YYABORT or YYACCEPT. */
+ YYPOPSTACK (yylen);
+ YY_STACK_PRINT (yyss, yyssp);
+ while (yyssp != yyss)
+ {
+ yydestruct ("Cleanup: popping",
+ YY_ACCESSING_SYMBOL (+*yyssp), yyvsp, result);
+ YYPOPSTACK (1);
+ }
+#ifndef yyoverflow
+ if (yyss != yyssa)
+ YYSTACK_FREE (yyss);
+#endif
+
+ return yyresult;
+}
+
+#line 161 "cubeparse.y"
+
+
+/* This assumes the string has been normalized by productions above */
+static int
+item_count(const char *s, char delim)
+{
+ int nitems = 0;
+
+ if (s[0] != '\0')
+ {
+ nitems++;
+ while ((s = strchr(s, delim)) != NULL)
+ {
+ nitems++;
+ s++;
+ }
+ }
+ return nitems;
+}
+
+static NDBOX *
+write_box(int dim, char *str1, char *str2)
+{
+ NDBOX *bp;
+ char *s;
+ char *endptr;
+ int i;
+ int size = CUBE_SIZE(dim);
+ bool point = true;
+
+ bp = palloc0(size);
+ SET_VARSIZE(bp, size);
+ SET_DIM(bp, dim);
+
+ s = str1;
+ i = 0;
+ if (dim > 0)
+ bp->x[i++] = float8in_internal(s, &endptr, "cube", str1);
+ while ((s = strchr(s, ',')) != NULL)
+ {
+ s++;
+ bp->x[i++] = float8in_internal(s, &endptr, "cube", str1);
+ }
+ Assert(i == dim);
+
+ s = str2;
+ if (dim > 0)
+ {
+ bp->x[i] = float8in_internal(s, &endptr, "cube", str2);
+ /* code this way to do right thing with NaN */
+ point &= (bp->x[i] == bp->x[0]);
+ i++;
+ }
+ while ((s = strchr(s, ',')) != NULL)
+ {
+ s++;
+ bp->x[i] = float8in_internal(s, &endptr, "cube", str2);
+ point &= (bp->x[i] == bp->x[i - dim]);
+ i++;
+ }
+ Assert(i == dim * 2);
+
+ if (point)
+ {
+ /*
+ * The value turned out to be a point, ie. all the upper-right
+ * coordinates were equal to the lower-left coordinates. Resize the
+ * cube we constructed. Note: we don't bother to repalloc() it
+ * smaller, as it's unlikely that the tiny amount of memory freed
+ * that way would be useful, and the output is always short-lived.
+ */
+ size = POINT_SIZE(dim);
+ SET_VARSIZE(bp, size);
+ SET_POINT_BIT(bp);
+ }
+
+ return bp;
+}
+
+static NDBOX *
+write_point_as_box(int dim, char *str)
+{
+ NDBOX *bp;
+ int i,
+ size;
+ char *s;
+ char *endptr;
+
+ size = POINT_SIZE(dim);
+ bp = palloc0(size);
+ SET_VARSIZE(bp, size);
+ SET_DIM(bp, dim);
+ SET_POINT_BIT(bp);
+
+ s = str;
+ i = 0;
+ if (dim > 0)
+ bp->x[i++] = float8in_internal(s, &endptr, "cube", str);
+ while ((s = strchr(s, ',')) != NULL)
+ {
+ s++;
+ bp->x[i++] = float8in_internal(s, &endptr, "cube", str);
+ }
+ Assert(i == dim);
+
+ return bp;
+}
+
+#include "cubescan.c"
diff --git a/contrib/cube/cubeparse.y b/contrib/cube/cubeparse.y
new file mode 100644
index 0000000..deb2efd
--- /dev/null
+++ b/contrib/cube/cubeparse.y
@@ -0,0 +1,269 @@
+%{
+/* contrib/cube/cubeparse.y */
+
+/* NdBox = [(lowerleft),(upperright)] */
+/* [(xLL(1)...xLL(N)),(xUR(1)...xUR(n))] */
+
+#include "postgres.h"
+
+#include "cubedata.h"
+#include "utils/float.h"
+
+/* All grammar constructs return strings */
+#define YYSTYPE char *
+
+/*
+ * Bison doesn't allocate anything that needs to live across parser calls,
+ * so we can easily have it use palloc instead of malloc. This prevents
+ * memory leaks if we error out during parsing. Note this only works with
+ * bison >= 2.0. However, in bison 1.875 the default is to use alloca()
+ * if possible, so there's not really much problem anyhow, at least if
+ * you're building with gcc.
+ */
+#define YYMALLOC palloc
+#define YYFREE pfree
+
+static char *scanbuf;
+static int scanbuflen;
+
+static int item_count(const char *s, char delim);
+static NDBOX *write_box(int dim, char *str1, char *str2);
+static NDBOX *write_point_as_box(int dim, char *str);
+
+%}
+
+/* BISON Declarations */
+%parse-param {NDBOX **result}
+%expect 0
+%name-prefix="cube_yy"
+
+%token CUBEFLOAT O_PAREN C_PAREN O_BRACKET C_BRACKET COMMA
+%start box
+
+/* Grammar follows */
+%%
+
+box: O_BRACKET paren_list COMMA paren_list C_BRACKET
+ {
+ int dim;
+
+ dim = item_count($2, ',');
+ if (item_count($4, ',') != dim)
+ {
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+ errmsg("invalid input syntax for cube"),
+ errdetail("Different point dimensions in (%s) and (%s).",
+ $2, $4)));
+ YYABORT;
+ }
+ if (dim > CUBE_MAX_DIM)
+ {
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+ errmsg("invalid input syntax for cube"),
+ errdetail("A cube cannot have more than %d dimensions.",
+ CUBE_MAX_DIM)));
+ YYABORT;
+ }
+
+ *result = write_box( dim, $2, $4 );
+ }
+
+ | paren_list COMMA paren_list
+ {
+ int dim;
+
+ dim = item_count($1, ',');
+ if (item_count($3, ',') != dim)
+ {
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+ errmsg("invalid input syntax for cube"),
+ errdetail("Different point dimensions in (%s) and (%s).",
+ $1, $3)));
+ YYABORT;
+ }
+ if (dim > CUBE_MAX_DIM)
+ {
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+ errmsg("invalid input syntax for cube"),
+ errdetail("A cube cannot have more than %d dimensions.",
+ CUBE_MAX_DIM)));
+ YYABORT;
+ }
+
+ *result = write_box( dim, $1, $3 );
+ }
+
+ | paren_list
+ {
+ int dim;
+
+ dim = item_count($1, ',');
+ if (dim > CUBE_MAX_DIM)
+ {
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+ errmsg("invalid input syntax for cube"),
+ errdetail("A cube cannot have more than %d dimensions.",
+ CUBE_MAX_DIM)));
+ YYABORT;
+ }
+
+ *result = write_point_as_box(dim, $1);
+ }
+
+ | list
+ {
+ int dim;
+
+ dim = item_count($1, ',');
+ if (dim > CUBE_MAX_DIM)
+ {
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+ errmsg("invalid input syntax for cube"),
+ errdetail("A cube cannot have more than %d dimensions.",
+ CUBE_MAX_DIM)));
+ YYABORT;
+ }
+
+ *result = write_point_as_box(dim, $1);
+ }
+ ;
+
+paren_list: O_PAREN list C_PAREN
+ {
+ $$ = $2;
+ }
+ | O_PAREN C_PAREN
+ {
+ $$ = pstrdup("");
+ }
+ ;
+
+list: CUBEFLOAT
+ {
+ /* alloc enough space to be sure whole list will fit */
+ $$ = palloc(scanbuflen + 1);
+ strcpy($$, $1);
+ }
+ | list COMMA CUBEFLOAT
+ {
+ $$ = $1;
+ strcat($$, ",");
+ strcat($$, $3);
+ }
+ ;
+
+%%
+
+/* This assumes the string has been normalized by productions above */
+static int
+item_count(const char *s, char delim)
+{
+ int nitems = 0;
+
+ if (s[0] != '\0')
+ {
+ nitems++;
+ while ((s = strchr(s, delim)) != NULL)
+ {
+ nitems++;
+ s++;
+ }
+ }
+ return nitems;
+}
+
+static NDBOX *
+write_box(int dim, char *str1, char *str2)
+{
+ NDBOX *bp;
+ char *s;
+ char *endptr;
+ int i;
+ int size = CUBE_SIZE(dim);
+ bool point = true;
+
+ bp = palloc0(size);
+ SET_VARSIZE(bp, size);
+ SET_DIM(bp, dim);
+
+ s = str1;
+ i = 0;
+ if (dim > 0)
+ bp->x[i++] = float8in_internal(s, &endptr, "cube", str1);
+ while ((s = strchr(s, ',')) != NULL)
+ {
+ s++;
+ bp->x[i++] = float8in_internal(s, &endptr, "cube", str1);
+ }
+ Assert(i == dim);
+
+ s = str2;
+ if (dim > 0)
+ {
+ bp->x[i] = float8in_internal(s, &endptr, "cube", str2);
+ /* code this way to do right thing with NaN */
+ point &= (bp->x[i] == bp->x[0]);
+ i++;
+ }
+ while ((s = strchr(s, ',')) != NULL)
+ {
+ s++;
+ bp->x[i] = float8in_internal(s, &endptr, "cube", str2);
+ point &= (bp->x[i] == bp->x[i - dim]);
+ i++;
+ }
+ Assert(i == dim * 2);
+
+ if (point)
+ {
+ /*
+ * The value turned out to be a point, ie. all the upper-right
+ * coordinates were equal to the lower-left coordinates. Resize the
+ * cube we constructed. Note: we don't bother to repalloc() it
+ * smaller, as it's unlikely that the tiny amount of memory freed
+ * that way would be useful, and the output is always short-lived.
+ */
+ size = POINT_SIZE(dim);
+ SET_VARSIZE(bp, size);
+ SET_POINT_BIT(bp);
+ }
+
+ return bp;
+}
+
+static NDBOX *
+write_point_as_box(int dim, char *str)
+{
+ NDBOX *bp;
+ int i,
+ size;
+ char *s;
+ char *endptr;
+
+ size = POINT_SIZE(dim);
+ bp = palloc0(size);
+ SET_VARSIZE(bp, size);
+ SET_DIM(bp, dim);
+ SET_POINT_BIT(bp);
+
+ s = str;
+ i = 0;
+ if (dim > 0)
+ bp->x[i++] = float8in_internal(s, &endptr, "cube", str);
+ while ((s = strchr(s, ',')) != NULL)
+ {
+ s++;
+ bp->x[i++] = float8in_internal(s, &endptr, "cube", str);
+ }
+ Assert(i == dim);
+
+ return bp;
+}
+
+#include "cubescan.c"
diff --git a/contrib/cube/cubescan.c b/contrib/cube/cubescan.c
new file mode 100644
index 0000000..0226564
--- /dev/null
+++ b/contrib/cube/cubescan.c
@@ -0,0 +1,2115 @@
+#line 2 "cubescan.c"
+
+#line 4 "cubescan.c"
+
+#define YY_INT_ALIGNED short int
+
+/* A lexical scanner generated by flex */
+
+#define yy_create_buffer cube_yy_create_buffer
+#define yy_delete_buffer cube_yy_delete_buffer
+#define yy_scan_buffer cube_yy_scan_buffer
+#define yy_scan_string cube_yy_scan_string
+#define yy_scan_bytes cube_yy_scan_bytes
+#define yy_init_buffer cube_yy_init_buffer
+#define yy_flush_buffer cube_yy_flush_buffer
+#define yy_load_buffer_state cube_yy_load_buffer_state
+#define yy_switch_to_buffer cube_yy_switch_to_buffer
+#define yypush_buffer_state cube_yypush_buffer_state
+#define yypop_buffer_state cube_yypop_buffer_state
+#define yyensure_buffer_stack cube_yyensure_buffer_stack
+#define yy_flex_debug cube_yy_flex_debug
+#define yyin cube_yyin
+#define yyleng cube_yyleng
+#define yylex cube_yylex
+#define yylineno cube_yylineno
+#define yyout cube_yyout
+#define yyrestart cube_yyrestart
+#define yytext cube_yytext
+#define yywrap cube_yywrap
+#define yyalloc cube_yyalloc
+#define yyrealloc cube_yyrealloc
+#define yyfree cube_yyfree
+
+#define FLEX_SCANNER
+#define YY_FLEX_MAJOR_VERSION 2
+#define YY_FLEX_MINOR_VERSION 6
+#define YY_FLEX_SUBMINOR_VERSION 4
+#if YY_FLEX_SUBMINOR_VERSION > 0
+#define FLEX_BETA
+#endif
+
+#ifdef yy_create_buffer
+#define cube_yy_create_buffer_ALREADY_DEFINED
+#else
+#define yy_create_buffer cube_yy_create_buffer
+#endif
+
+#ifdef yy_delete_buffer
+#define cube_yy_delete_buffer_ALREADY_DEFINED
+#else
+#define yy_delete_buffer cube_yy_delete_buffer
+#endif
+
+#ifdef yy_scan_buffer
+#define cube_yy_scan_buffer_ALREADY_DEFINED
+#else
+#define yy_scan_buffer cube_yy_scan_buffer
+#endif
+
+#ifdef yy_scan_string
+#define cube_yy_scan_string_ALREADY_DEFINED
+#else
+#define yy_scan_string cube_yy_scan_string
+#endif
+
+#ifdef yy_scan_bytes
+#define cube_yy_scan_bytes_ALREADY_DEFINED
+#else
+#define yy_scan_bytes cube_yy_scan_bytes
+#endif
+
+#ifdef yy_init_buffer
+#define cube_yy_init_buffer_ALREADY_DEFINED
+#else
+#define yy_init_buffer cube_yy_init_buffer
+#endif
+
+#ifdef yy_flush_buffer
+#define cube_yy_flush_buffer_ALREADY_DEFINED
+#else
+#define yy_flush_buffer cube_yy_flush_buffer
+#endif
+
+#ifdef yy_load_buffer_state
+#define cube_yy_load_buffer_state_ALREADY_DEFINED
+#else
+#define yy_load_buffer_state cube_yy_load_buffer_state
+#endif
+
+#ifdef yy_switch_to_buffer
+#define cube_yy_switch_to_buffer_ALREADY_DEFINED
+#else
+#define yy_switch_to_buffer cube_yy_switch_to_buffer
+#endif
+
+#ifdef yypush_buffer_state
+#define cube_yypush_buffer_state_ALREADY_DEFINED
+#else
+#define yypush_buffer_state cube_yypush_buffer_state
+#endif
+
+#ifdef yypop_buffer_state
+#define cube_yypop_buffer_state_ALREADY_DEFINED
+#else
+#define yypop_buffer_state cube_yypop_buffer_state
+#endif
+
+#ifdef yyensure_buffer_stack
+#define cube_yyensure_buffer_stack_ALREADY_DEFINED
+#else
+#define yyensure_buffer_stack cube_yyensure_buffer_stack
+#endif
+
+#ifdef yylex
+#define cube_yylex_ALREADY_DEFINED
+#else
+#define yylex cube_yylex
+#endif
+
+#ifdef yyrestart
+#define cube_yyrestart_ALREADY_DEFINED
+#else
+#define yyrestart cube_yyrestart
+#endif
+
+#ifdef yylex_init
+#define cube_yylex_init_ALREADY_DEFINED
+#else
+#define yylex_init cube_yylex_init
+#endif
+
+#ifdef yylex_init_extra
+#define cube_yylex_init_extra_ALREADY_DEFINED
+#else
+#define yylex_init_extra cube_yylex_init_extra
+#endif
+
+#ifdef yylex_destroy
+#define cube_yylex_destroy_ALREADY_DEFINED
+#else
+#define yylex_destroy cube_yylex_destroy
+#endif
+
+#ifdef yyget_debug
+#define cube_yyget_debug_ALREADY_DEFINED
+#else
+#define yyget_debug cube_yyget_debug
+#endif
+
+#ifdef yyset_debug
+#define cube_yyset_debug_ALREADY_DEFINED
+#else
+#define yyset_debug cube_yyset_debug
+#endif
+
+#ifdef yyget_extra
+#define cube_yyget_extra_ALREADY_DEFINED
+#else
+#define yyget_extra cube_yyget_extra
+#endif
+
+#ifdef yyset_extra
+#define cube_yyset_extra_ALREADY_DEFINED
+#else
+#define yyset_extra cube_yyset_extra
+#endif
+
+#ifdef yyget_in
+#define cube_yyget_in_ALREADY_DEFINED
+#else
+#define yyget_in cube_yyget_in
+#endif
+
+#ifdef yyset_in
+#define cube_yyset_in_ALREADY_DEFINED
+#else
+#define yyset_in cube_yyset_in
+#endif
+
+#ifdef yyget_out
+#define cube_yyget_out_ALREADY_DEFINED
+#else
+#define yyget_out cube_yyget_out
+#endif
+
+#ifdef yyset_out
+#define cube_yyset_out_ALREADY_DEFINED
+#else
+#define yyset_out cube_yyset_out
+#endif
+
+#ifdef yyget_leng
+#define cube_yyget_leng_ALREADY_DEFINED
+#else
+#define yyget_leng cube_yyget_leng
+#endif
+
+#ifdef yyget_text
+#define cube_yyget_text_ALREADY_DEFINED
+#else
+#define yyget_text cube_yyget_text
+#endif
+
+#ifdef yyget_lineno
+#define cube_yyget_lineno_ALREADY_DEFINED
+#else
+#define yyget_lineno cube_yyget_lineno
+#endif
+
+#ifdef yyset_lineno
+#define cube_yyset_lineno_ALREADY_DEFINED
+#else
+#define yyset_lineno cube_yyset_lineno
+#endif
+
+#ifdef yywrap
+#define cube_yywrap_ALREADY_DEFINED
+#else
+#define yywrap cube_yywrap
+#endif
+
+#ifdef yyalloc
+#define cube_yyalloc_ALREADY_DEFINED
+#else
+#define yyalloc cube_yyalloc
+#endif
+
+#ifdef yyrealloc
+#define cube_yyrealloc_ALREADY_DEFINED
+#else
+#define yyrealloc cube_yyrealloc
+#endif
+
+#ifdef yyfree
+#define cube_yyfree_ALREADY_DEFINED
+#else
+#define yyfree cube_yyfree
+#endif
+
+#ifdef yytext
+#define cube_yytext_ALREADY_DEFINED
+#else
+#define yytext cube_yytext
+#endif
+
+#ifdef yyleng
+#define cube_yyleng_ALREADY_DEFINED
+#else
+#define yyleng cube_yyleng
+#endif
+
+#ifdef yyin
+#define cube_yyin_ALREADY_DEFINED
+#else
+#define yyin cube_yyin
+#endif
+
+#ifdef yyout
+#define cube_yyout_ALREADY_DEFINED
+#else
+#define yyout cube_yyout
+#endif
+
+#ifdef yy_flex_debug
+#define cube_yy_flex_debug_ALREADY_DEFINED
+#else
+#define yy_flex_debug cube_yy_flex_debug
+#endif
+
+#ifdef yylineno
+#define cube_yylineno_ALREADY_DEFINED
+#else
+#define yylineno cube_yylineno
+#endif
+
+/* First, we deal with platform-specific or compiler-specific issues. */
+
+/* begin standard C headers. */
+#include <stdio.h>
+#include <string.h>
+#include <errno.h>
+#include <stdlib.h>
+
+/* end standard C headers. */
+
+/* flex integer type definitions */
+
+#ifndef FLEXINT_H
+#define FLEXINT_H
+
+/* C99 systems have <inttypes.h>. Non-C99 systems may or may not. */
+
+#if defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
+
+/* C99 says to define __STDC_LIMIT_MACROS before including stdint.h,
+ * if you want the limit (max/min) macros for int types.
+ */
+#ifndef __STDC_LIMIT_MACROS
+#define __STDC_LIMIT_MACROS 1
+#endif
+
+#include <inttypes.h>
+typedef int8_t flex_int8_t;
+typedef uint8_t flex_uint8_t;
+typedef int16_t flex_int16_t;
+typedef uint16_t flex_uint16_t;
+typedef int32_t flex_int32_t;
+typedef uint32_t flex_uint32_t;
+#else
+typedef signed char flex_int8_t;
+typedef short int flex_int16_t;
+typedef int flex_int32_t;
+typedef unsigned char flex_uint8_t;
+typedef unsigned short int flex_uint16_t;
+typedef unsigned int flex_uint32_t;
+
+/* Limits of integral types. */
+#ifndef INT8_MIN
+#define INT8_MIN (-128)
+#endif
+#ifndef INT16_MIN
+#define INT16_MIN (-32767-1)
+#endif
+#ifndef INT32_MIN
+#define INT32_MIN (-2147483647-1)
+#endif
+#ifndef INT8_MAX
+#define INT8_MAX (127)
+#endif
+#ifndef INT16_MAX
+#define INT16_MAX (32767)
+#endif
+#ifndef INT32_MAX
+#define INT32_MAX (2147483647)
+#endif
+#ifndef UINT8_MAX
+#define UINT8_MAX (255U)
+#endif
+#ifndef UINT16_MAX
+#define UINT16_MAX (65535U)
+#endif
+#ifndef UINT32_MAX
+#define UINT32_MAX (4294967295U)
+#endif
+
+#ifndef SIZE_MAX
+#define SIZE_MAX (~(size_t)0)
+#endif
+
+#endif /* ! C99 */
+
+#endif /* ! FLEXINT_H */
+
+/* begin standard C++ headers. */
+
+/* TODO: this is always defined, so inline it */
+#define yyconst const
+
+#if defined(__GNUC__) && __GNUC__ >= 3
+#define yynoreturn __attribute__((__noreturn__))
+#else
+#define yynoreturn
+#endif
+
+/* Returned upon end-of-file. */
+#define YY_NULL 0
+
+/* Promotes a possibly negative, possibly signed char to an
+ * integer in range [0..255] for use as an array index.
+ */
+#define YY_SC_TO_UI(c) ((YY_CHAR) (c))
+
+/* Enter a start condition. This macro really ought to take a parameter,
+ * but we do it the disgusting crufty way forced on us by the ()-less
+ * definition of BEGIN.
+ */
+#define BEGIN (yy_start) = 1 + 2 *
+/* Translate the current start state into a value that can be later handed
+ * to BEGIN to return to the state. The YYSTATE alias is for lex
+ * compatibility.
+ */
+#define YY_START (((yy_start) - 1) / 2)
+#define YYSTATE YY_START
+/* Action number for EOF rule of a given start state. */
+#define YY_STATE_EOF(state) (YY_END_OF_BUFFER + state + 1)
+/* Special action meaning "start processing a new file". */
+#define YY_NEW_FILE yyrestart( yyin )
+#define YY_END_OF_BUFFER_CHAR 0
+
+/* Size of default input buffer. */
+#ifndef YY_BUF_SIZE
+#ifdef __ia64__
+/* On IA-64, the buffer size is 16k, not 8k.
+ * Moreover, YY_BUF_SIZE is 2*YY_READ_BUF_SIZE in the general case.
+ * Ditto for the __ia64__ case accordingly.
+ */
+#define YY_BUF_SIZE 32768
+#else
+#define YY_BUF_SIZE 16384
+#endif /* __ia64__ */
+#endif
+
+/* The state buf must be large enough to hold one state per character in the main buffer.
+ */
+#define YY_STATE_BUF_SIZE ((YY_BUF_SIZE + 2) * sizeof(yy_state_type))
+
+#ifndef YY_TYPEDEF_YY_BUFFER_STATE
+#define YY_TYPEDEF_YY_BUFFER_STATE
+typedef struct yy_buffer_state *YY_BUFFER_STATE;
+#endif
+
+#ifndef YY_TYPEDEF_YY_SIZE_T
+#define YY_TYPEDEF_YY_SIZE_T
+typedef size_t yy_size_t;
+#endif
+
+extern int yyleng;
+
+extern FILE *yyin, *yyout;
+
+#define EOB_ACT_CONTINUE_SCAN 0
+#define EOB_ACT_END_OF_FILE 1
+#define EOB_ACT_LAST_MATCH 2
+
+ #define YY_LESS_LINENO(n)
+ #define YY_LINENO_REWIND_TO(ptr)
+
+/* Return all but the first "n" matched characters back to the input stream. */
+#define yyless(n) \
+ do \
+ { \
+ /* Undo effects of setting up yytext. */ \
+ int yyless_macro_arg = (n); \
+ YY_LESS_LINENO(yyless_macro_arg);\
+ *yy_cp = (yy_hold_char); \
+ YY_RESTORE_YY_MORE_OFFSET \
+ (yy_c_buf_p) = yy_cp = yy_bp + yyless_macro_arg - YY_MORE_ADJ; \
+ YY_DO_BEFORE_ACTION; /* set up yytext again */ \
+ } \
+ while ( 0 )
+#define unput(c) yyunput( c, (yytext_ptr) )
+
+#ifndef YY_STRUCT_YY_BUFFER_STATE
+#define YY_STRUCT_YY_BUFFER_STATE
+struct yy_buffer_state
+ {
+ FILE *yy_input_file;
+
+ char *yy_ch_buf; /* input buffer */
+ char *yy_buf_pos; /* current position in input buffer */
+
+ /* Size of input buffer in bytes, not including room for EOB
+ * characters.
+ */
+ int yy_buf_size;
+
+ /* Number of characters read into yy_ch_buf, not including EOB
+ * characters.
+ */
+ int yy_n_chars;
+
+ /* Whether we "own" the buffer - i.e., we know we created it,
+ * and can realloc() it to grow it, and should free() it to
+ * delete it.
+ */
+ int yy_is_our_buffer;
+
+ /* Whether this is an "interactive" input source; if so, and
+ * if we're using stdio for input, then we want to use getc()
+ * instead of fread(), to make sure we stop fetching input after
+ * each newline.
+ */
+ int yy_is_interactive;
+
+ /* Whether we're considered to be at the beginning of a line.
+ * If so, '^' rules will be active on the next match, otherwise
+ * not.
+ */
+ int yy_at_bol;
+
+ int yy_bs_lineno; /**< The line count. */
+ int yy_bs_column; /**< The column count. */
+
+ /* Whether to try to fill the input buffer when we reach the
+ * end of it.
+ */
+ int yy_fill_buffer;
+
+ int yy_buffer_status;
+
+#define YY_BUFFER_NEW 0
+#define YY_BUFFER_NORMAL 1
+ /* When an EOF's been seen but there's still some text to process
+ * then we mark the buffer as YY_EOF_PENDING, to indicate that we
+ * shouldn't try reading from the input source any more. We might
+ * still have a bunch of tokens to match, though, because of
+ * possible backing-up.
+ *
+ * When we actually see the EOF, we change the status to "new"
+ * (via yyrestart()), so that the user can continue scanning by
+ * just pointing yyin at a new input file.
+ */
+#define YY_BUFFER_EOF_PENDING 2
+
+ };
+#endif /* !YY_STRUCT_YY_BUFFER_STATE */
+
+/* Stack of input buffers. */
+static size_t yy_buffer_stack_top = 0; /**< index of top of stack. */
+static size_t yy_buffer_stack_max = 0; /**< capacity of stack. */
+static YY_BUFFER_STATE * yy_buffer_stack = NULL; /**< Stack as an array. */
+
+/* We provide macros for accessing buffer states in case in the
+ * future we want to put the buffer states in a more general
+ * "scanner state".
+ *
+ * Returns the top of the stack, or NULL.
+ */
+#define YY_CURRENT_BUFFER ( (yy_buffer_stack) \
+ ? (yy_buffer_stack)[(yy_buffer_stack_top)] \
+ : NULL)
+/* Same as previous macro, but useful when we know that the buffer stack is not
+ * NULL or when we need an lvalue. For internal use only.
+ */
+#define YY_CURRENT_BUFFER_LVALUE (yy_buffer_stack)[(yy_buffer_stack_top)]
+
+/* yy_hold_char holds the character lost when yytext is formed. */
+static char yy_hold_char;
+static int yy_n_chars; /* number of characters read into yy_ch_buf */
+int yyleng;
+
+/* Points to current character in buffer. */
+static char *yy_c_buf_p = NULL;
+static int yy_init = 0; /* whether we need to initialize */
+static int yy_start = 0; /* start state number */
+
+/* Flag which is used to allow yywrap()'s to do buffer switches
+ * instead of setting up a fresh yyin. A bit of a hack ...
+ */
+static int yy_did_buffer_switch_on_eof;
+
+void yyrestart ( FILE *input_file );
+void yy_switch_to_buffer ( YY_BUFFER_STATE new_buffer );
+YY_BUFFER_STATE yy_create_buffer ( FILE *file, int size );
+void yy_delete_buffer ( YY_BUFFER_STATE b );
+void yy_flush_buffer ( YY_BUFFER_STATE b );
+void yypush_buffer_state ( YY_BUFFER_STATE new_buffer );
+void yypop_buffer_state ( void );
+
+static void yyensure_buffer_stack ( void );
+static void yy_load_buffer_state ( void );
+static void yy_init_buffer ( YY_BUFFER_STATE b, FILE *file );
+#define YY_FLUSH_BUFFER yy_flush_buffer( YY_CURRENT_BUFFER )
+
+YY_BUFFER_STATE yy_scan_buffer ( char *base, yy_size_t size );
+YY_BUFFER_STATE yy_scan_string ( const char *yy_str );
+YY_BUFFER_STATE yy_scan_bytes ( const char *bytes, int len );
+
+void *yyalloc ( yy_size_t );
+void *yyrealloc ( void *, yy_size_t );
+void yyfree ( void * );
+
+#define yy_new_buffer yy_create_buffer
+#define yy_set_interactive(is_interactive) \
+ { \
+ if ( ! YY_CURRENT_BUFFER ){ \
+ yyensure_buffer_stack (); \
+ YY_CURRENT_BUFFER_LVALUE = \
+ yy_create_buffer( yyin, YY_BUF_SIZE ); \
+ } \
+ YY_CURRENT_BUFFER_LVALUE->yy_is_interactive = is_interactive; \
+ }
+#define yy_set_bol(at_bol) \
+ { \
+ if ( ! YY_CURRENT_BUFFER ){\
+ yyensure_buffer_stack (); \
+ YY_CURRENT_BUFFER_LVALUE = \
+ yy_create_buffer( yyin, YY_BUF_SIZE ); \
+ } \
+ YY_CURRENT_BUFFER_LVALUE->yy_at_bol = at_bol; \
+ }
+#define YY_AT_BOL() (YY_CURRENT_BUFFER_LVALUE->yy_at_bol)
+
+/* Begin user sect3 */
+
+#define cube_yywrap() (/*CONSTCOND*/1)
+#define YY_SKIP_YYWRAP
+typedef flex_uint8_t YY_CHAR;
+
+FILE *yyin = NULL, *yyout = NULL;
+
+typedef int yy_state_type;
+
+extern int yylineno;
+int yylineno = 1;
+
+extern char *yytext;
+#ifdef yytext_ptr
+#undef yytext_ptr
+#endif
+#define yytext_ptr yytext
+
+static yy_state_type yy_get_previous_state ( void );
+static yy_state_type yy_try_NUL_trans ( yy_state_type current_state );
+static int yy_get_next_buffer ( void );
+static void yynoreturn yy_fatal_error ( const char* msg );
+
+/* Done after the current pattern has been matched and before the
+ * corresponding action - sets up yytext.
+ */
+#define YY_DO_BEFORE_ACTION \
+ (yytext_ptr) = yy_bp; \
+ yyleng = (int) (yy_cp - yy_bp); \
+ (yy_hold_char) = *yy_cp; \
+ *yy_cp = '\0'; \
+ (yy_c_buf_p) = yy_cp;
+#define YY_NUM_RULES 11
+#define YY_END_OF_BUFFER 12
+/* This struct is not used in this scanner,
+ but its presence is necessary. */
+struct yy_trans_info
+ {
+ flex_int32_t yy_verify;
+ flex_int32_t yy_nxt;
+ };
+static const flex_int16_t yy_accept[37] =
+ { 0,
+ 0, 0, 12, 10, 9, 9, 6, 7, 10, 8,
+ 10, 1, 10, 10, 4, 5, 9, 0, 1, 0,
+ 1, 1, 0, 0, 0, 1, 0, 1, 2, 3,
+ 0, 0, 0, 0, 2, 0
+ } ;
+
+static const YY_CHAR yy_ec[256] =
+ { 0,
+ 1, 1, 1, 1, 1, 1, 1, 1, 2, 3,
+ 1, 2, 2, 1, 1, 1, 1, 1, 1, 1,
+ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 2, 1, 1, 1, 1, 1, 1, 1, 4,
+ 5, 1, 6, 7, 6, 8, 1, 9, 9, 9,
+ 9, 9, 9, 9, 9, 9, 9, 1, 1, 1,
+ 1, 1, 1, 1, 10, 1, 1, 1, 11, 12,
+ 1, 1, 13, 1, 1, 1, 1, 14, 1, 1,
+ 1, 1, 1, 15, 1, 1, 1, 1, 16, 1,
+ 17, 1, 18, 1, 1, 1, 10, 1, 1, 1,
+
+ 11, 12, 1, 1, 13, 1, 1, 1, 1, 14,
+ 1, 1, 1, 1, 1, 15, 1, 1, 1, 1,
+ 16, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+
+ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 1, 1, 1, 1
+ } ;
+
+static const YY_CHAR yy_meta[19] =
+ { 0,
+ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 1, 1, 1, 1, 1, 1, 1
+ } ;
+
+static const flex_int16_t yy_base[37] =
+ { 0,
+ 0, 0, 53, 54, 17, 19, 54, 54, 15, 54,
+ 43, 21, 37, 40, 54, 54, 23, 40, 0, 34,
+ 22, 25, 29, 35, 32, 28, 36, 35, 30, 54,
+ 28, 28, 25, 11, 54, 54
+ } ;
+
+static const flex_int16_t yy_def[37] =
+ { 0,
+ 36, 1, 36, 36, 36, 36, 36, 36, 36, 36,
+ 36, 36, 36, 36, 36, 36, 36, 36, 12, 36,
+ 36, 36, 36, 36, 36, 36, 36, 36, 36, 36,
+ 36, 36, 36, 36, 36, 0
+ } ;
+
+static const flex_int16_t yy_nxt[73] =
+ { 0,
+ 4, 5, 6, 7, 8, 9, 10, 11, 12, 4,
+ 4, 4, 13, 14, 4, 4, 15, 16, 17, 17,
+ 17, 17, 18, 19, 17, 17, 35, 20, 22, 19,
+ 21, 23, 23, 26, 27, 23, 26, 28, 23, 34,
+ 33, 32, 31, 28, 28, 30, 29, 24, 21, 25,
+ 24, 21, 36, 3, 36, 36, 36, 36, 36, 36,
+ 36, 36, 36, 36, 36, 36, 36, 36, 36, 36,
+ 36, 36
+ } ;
+
+static const flex_int16_t yy_chk[73] =
+ { 0,
+ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 1, 1, 1, 1, 1, 1, 1, 5, 5,
+ 6, 6, 9, 9, 17, 17, 34, 9, 12, 12,
+ 21, 12, 21, 22, 23, 22, 26, 23, 26, 33,
+ 32, 31, 29, 28, 27, 25, 24, 20, 18, 14,
+ 13, 11, 3, 36, 36, 36, 36, 36, 36, 36,
+ 36, 36, 36, 36, 36, 36, 36, 36, 36, 36,
+ 36, 36
+ } ;
+
+static yy_state_type yy_last_accepting_state;
+static char *yy_last_accepting_cpos;
+
+extern int yy_flex_debug;
+int yy_flex_debug = 0;
+
+/* The intent behind this definition is that it'll catch
+ * any uses of REJECT which flex missed.
+ */
+#define REJECT reject_used_but_not_detected
+#define yymore() yymore_used_but_not_detected
+#define YY_MORE_ADJ 0
+#define YY_RESTORE_YY_MORE_OFFSET
+char *yytext;
+#line 1 "cubescan.l"
+#line 2 "cubescan.l"
+/*
+ * A scanner for EMP-style numeric ranges
+ * contrib/cube/cubescan.l
+ */
+
+/* LCOV_EXCL_START */
+
+/* No reason to constrain amount of data slurped */
+#define YY_READ_BUF_SIZE 16777216
+
+/* Avoid exit() on fatal scanner errors (a bit ugly -- see yy_fatal_error) */
+#undef fprintf
+#define fprintf(file, fmt, msg) fprintf_to_ereport(fmt, msg)
+
+static void
+fprintf_to_ereport(const char *fmt, const char *msg)
+{
+ ereport(ERROR, (errmsg_internal("%s", msg)));
+}
+
+/* Handles to the buffer that the lexer uses internally */
+static YY_BUFFER_STATE scanbufhandle;
+/* this is now declared in cubeparse.y: */
+/* static char *scanbuf; */
+/* static int scanbuflen; */
+#line 754 "cubescan.c"
+#define YY_NO_INPUT 1
+#line 756 "cubescan.c"
+
+#define INITIAL 0
+
+#ifndef YY_NO_UNISTD_H
+/* Special case for "unistd.h", since it is non-ANSI. We include it way
+ * down here because we want the user's section 1 to have been scanned first.
+ * The user has a chance to override it with an option.
+ */
+#include <unistd.h>
+#endif
+
+#ifndef YY_EXTRA_TYPE
+#define YY_EXTRA_TYPE void *
+#endif
+
+static int yy_init_globals ( void );
+
+/* Accessor methods to globals.
+ These are made visible to non-reentrant scanners for convenience. */
+
+int yylex_destroy ( void );
+
+int yyget_debug ( void );
+
+void yyset_debug ( int debug_flag );
+
+YY_EXTRA_TYPE yyget_extra ( void );
+
+void yyset_extra ( YY_EXTRA_TYPE user_defined );
+
+FILE *yyget_in ( void );
+
+void yyset_in ( FILE * _in_str );
+
+FILE *yyget_out ( void );
+
+void yyset_out ( FILE * _out_str );
+
+ int yyget_leng ( void );
+
+char *yyget_text ( void );
+
+int yyget_lineno ( void );
+
+void yyset_lineno ( int _line_number );
+
+/* Macros after this point can all be overridden by user definitions in
+ * section 1.
+ */
+
+#ifndef YY_SKIP_YYWRAP
+#ifdef __cplusplus
+extern "C" int yywrap ( void );
+#else
+extern int yywrap ( void );
+#endif
+#endif
+
+#ifndef YY_NO_UNPUT
+
+#endif
+
+#ifndef yytext_ptr
+static void yy_flex_strncpy ( char *, const char *, int );
+#endif
+
+#ifdef YY_NEED_STRLEN
+static int yy_flex_strlen ( const char * );
+#endif
+
+#ifndef YY_NO_INPUT
+#ifdef __cplusplus
+static int yyinput ( void );
+#else
+static int input ( void );
+#endif
+
+#endif
+
+/* Amount of stuff to slurp up with each read. */
+#ifndef YY_READ_BUF_SIZE
+#ifdef __ia64__
+/* On IA-64, the buffer size is 16k, not 8k */
+#define YY_READ_BUF_SIZE 16384
+#else
+#define YY_READ_BUF_SIZE 8192
+#endif /* __ia64__ */
+#endif
+
+/* Copy whatever the last rule matched to the standard output. */
+#ifndef ECHO
+/* This used to be an fputs(), but since the string might contain NUL's,
+ * we now use fwrite().
+ */
+#define ECHO do { if (fwrite( yytext, (size_t) yyleng, 1, yyout )) {} } while (0)
+#endif
+
+/* Gets input and stuffs it into "buf". number of characters read, or YY_NULL,
+ * is returned in "result".
+ */
+#ifndef YY_INPUT
+#define YY_INPUT(buf,result,max_size) \
+ if ( YY_CURRENT_BUFFER_LVALUE->yy_is_interactive ) \
+ { \
+ int c = '*'; \
+ int n; \
+ for ( n = 0; n < max_size && \
+ (c = getc( yyin )) != EOF && c != '\n'; ++n ) \
+ buf[n] = (char) c; \
+ if ( c == '\n' ) \
+ buf[n++] = (char) c; \
+ if ( c == EOF && ferror( yyin ) ) \
+ YY_FATAL_ERROR( "input in flex scanner failed" ); \
+ result = n; \
+ } \
+ else \
+ { \
+ errno=0; \
+ while ( (result = (int) fread(buf, 1, (yy_size_t) max_size, yyin)) == 0 && ferror(yyin)) \
+ { \
+ if( errno != EINTR) \
+ { \
+ YY_FATAL_ERROR( "input in flex scanner failed" ); \
+ break; \
+ } \
+ errno=0; \
+ clearerr(yyin); \
+ } \
+ }\
+\
+
+#endif
+
+/* No semi-colon after return; correct usage is to write "yyterminate();" -
+ * we don't want an extra ';' after the "return" because that will cause
+ * some compilers to complain about unreachable statements.
+ */
+#ifndef yyterminate
+#define yyterminate() return YY_NULL
+#endif
+
+/* Number of entries by which start-condition stack grows. */
+#ifndef YY_START_STACK_INCR
+#define YY_START_STACK_INCR 25
+#endif
+
+/* Report a fatal error. */
+#ifndef YY_FATAL_ERROR
+#define YY_FATAL_ERROR(msg) yy_fatal_error( msg )
+#endif
+
+/* end tables serialization structures and prototypes */
+
+/* Default declaration of generated scanner - a define so the user can
+ * easily add parameters.
+ */
+#ifndef YY_DECL
+#define YY_DECL_IS_OURS 1
+
+extern int yylex (void);
+
+#define YY_DECL int yylex (void)
+#endif /* !YY_DECL */
+
+/* Code executed at the beginning of each rule, after yytext and yyleng
+ * have been set up.
+ */
+#ifndef YY_USER_ACTION
+#define YY_USER_ACTION
+#endif
+
+/* Code executed at the end of each rule. */
+#ifndef YY_BREAK
+#define YY_BREAK /*LINTED*/break;
+#endif
+
+#define YY_RULE_SETUP \
+ YY_USER_ACTION
+
+/** The main scanner function which does all the work.
+ */
+YY_DECL
+{
+ yy_state_type yy_current_state;
+ char *yy_cp, *yy_bp;
+ int yy_act;
+
+ if ( !(yy_init) )
+ {
+ (yy_init) = 1;
+
+#ifdef YY_USER_INIT
+ YY_USER_INIT;
+#endif
+
+ if ( ! (yy_start) )
+ (yy_start) = 1; /* first start state */
+
+ if ( ! yyin )
+ yyin = stdin;
+
+ if ( ! yyout )
+ yyout = stdout;
+
+ if ( ! YY_CURRENT_BUFFER ) {
+ yyensure_buffer_stack ();
+ YY_CURRENT_BUFFER_LVALUE =
+ yy_create_buffer( yyin, YY_BUF_SIZE );
+ }
+
+ yy_load_buffer_state( );
+ }
+
+ {
+#line 46 "cubescan.l"
+
+
+#line 974 "cubescan.c"
+
+ while ( /*CONSTCOND*/1 ) /* loops until end-of-file is reached */
+ {
+ yy_cp = (yy_c_buf_p);
+
+ /* Support of yytext. */
+ *yy_cp = (yy_hold_char);
+
+ /* yy_bp points to the position in yy_ch_buf of the start of
+ * the current run.
+ */
+ yy_bp = yy_cp;
+
+ yy_current_state = (yy_start);
+yy_match:
+ do
+ {
+ YY_CHAR yy_c = yy_ec[YY_SC_TO_UI(*yy_cp)] ;
+ if ( yy_accept[yy_current_state] )
+ {
+ (yy_last_accepting_state) = yy_current_state;
+ (yy_last_accepting_cpos) = yy_cp;
+ }
+ while ( yy_chk[yy_base[yy_current_state] + yy_c] != yy_current_state )
+ {
+ yy_current_state = (int) yy_def[yy_current_state];
+ if ( yy_current_state >= 37 )
+ yy_c = yy_meta[yy_c];
+ }
+ yy_current_state = yy_nxt[yy_base[yy_current_state] + yy_c];
+ ++yy_cp;
+ }
+ while ( yy_current_state != 36 );
+ yy_cp = (yy_last_accepting_cpos);
+ yy_current_state = (yy_last_accepting_state);
+
+yy_find_action:
+ yy_act = yy_accept[yy_current_state];
+
+ YY_DO_BEFORE_ACTION;
+
+do_action: /* This label is used only to access EOF actions. */
+
+ switch ( yy_act )
+ { /* beginning of action switch */
+ case 0: /* must back up */
+ /* undo the effects of YY_DO_BEFORE_ACTION */
+ *yy_cp = (yy_hold_char);
+ yy_cp = (yy_last_accepting_cpos);
+ yy_current_state = (yy_last_accepting_state);
+ goto yy_find_action;
+
+case 1:
+YY_RULE_SETUP
+#line 48 "cubescan.l"
+yylval = yytext; return CUBEFLOAT;
+ YY_BREAK
+case 2:
+YY_RULE_SETUP
+#line 49 "cubescan.l"
+yylval = yytext; return CUBEFLOAT;
+ YY_BREAK
+case 3:
+YY_RULE_SETUP
+#line 50 "cubescan.l"
+yylval = yytext; return CUBEFLOAT;
+ YY_BREAK
+case 4:
+YY_RULE_SETUP
+#line 51 "cubescan.l"
+yylval = "("; return O_BRACKET;
+ YY_BREAK
+case 5:
+YY_RULE_SETUP
+#line 52 "cubescan.l"
+yylval = ")"; return C_BRACKET;
+ YY_BREAK
+case 6:
+YY_RULE_SETUP
+#line 53 "cubescan.l"
+yylval = "("; return O_PAREN;
+ YY_BREAK
+case 7:
+YY_RULE_SETUP
+#line 54 "cubescan.l"
+yylval = ")"; return C_PAREN;
+ YY_BREAK
+case 8:
+YY_RULE_SETUP
+#line 55 "cubescan.l"
+yylval = ","; return COMMA;
+ YY_BREAK
+case 9:
+/* rule 9 can match eol */
+YY_RULE_SETUP
+#line 56 "cubescan.l"
+/* discard spaces */
+ YY_BREAK
+case 10:
+YY_RULE_SETUP
+#line 57 "cubescan.l"
+return yytext[0]; /* alert parser of the garbage */
+ YY_BREAK
+case 11:
+YY_RULE_SETUP
+#line 59 "cubescan.l"
+YY_FATAL_ERROR( "flex scanner jammed" );
+ YY_BREAK
+#line 1083 "cubescan.c"
+case YY_STATE_EOF(INITIAL):
+ yyterminate();
+
+ case YY_END_OF_BUFFER:
+ {
+ /* Amount of text matched not including the EOB char. */
+ int yy_amount_of_matched_text = (int) (yy_cp - (yytext_ptr)) - 1;
+
+ /* Undo the effects of YY_DO_BEFORE_ACTION. */
+ *yy_cp = (yy_hold_char);
+ YY_RESTORE_YY_MORE_OFFSET
+
+ if ( YY_CURRENT_BUFFER_LVALUE->yy_buffer_status == YY_BUFFER_NEW )
+ {
+ /* We're scanning a new file or input source. It's
+ * possible that this happened because the user
+ * just pointed yyin at a new source and called
+ * yylex(). If so, then we have to assure
+ * consistency between YY_CURRENT_BUFFER and our
+ * globals. Here is the right place to do so, because
+ * this is the first action (other than possibly a
+ * back-up) that will match for the new input source.
+ */
+ (yy_n_chars) = YY_CURRENT_BUFFER_LVALUE->yy_n_chars;
+ YY_CURRENT_BUFFER_LVALUE->yy_input_file = yyin;
+ YY_CURRENT_BUFFER_LVALUE->yy_buffer_status = YY_BUFFER_NORMAL;
+ }
+
+ /* Note that here we test for yy_c_buf_p "<=" to the position
+ * of the first EOB in the buffer, since yy_c_buf_p will
+ * already have been incremented past the NUL character
+ * (since all states make transitions on EOB to the
+ * end-of-buffer state). Contrast this with the test
+ * in input().
+ */
+ if ( (yy_c_buf_p) <= &YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars)] )
+ { /* This was really a NUL. */
+ yy_state_type yy_next_state;
+
+ (yy_c_buf_p) = (yytext_ptr) + yy_amount_of_matched_text;
+
+ yy_current_state = yy_get_previous_state( );
+
+ /* Okay, we're now positioned to make the NUL
+ * transition. We couldn't have
+ * yy_get_previous_state() go ahead and do it
+ * for us because it doesn't know how to deal
+ * with the possibility of jamming (and we don't
+ * want to build jamming into it because then it
+ * will run more slowly).
+ */
+
+ yy_next_state = yy_try_NUL_trans( yy_current_state );
+
+ yy_bp = (yytext_ptr) + YY_MORE_ADJ;
+
+ if ( yy_next_state )
+ {
+ /* Consume the NUL. */
+ yy_cp = ++(yy_c_buf_p);
+ yy_current_state = yy_next_state;
+ goto yy_match;
+ }
+
+ else
+ {
+ yy_cp = (yy_last_accepting_cpos);
+ yy_current_state = (yy_last_accepting_state);
+ goto yy_find_action;
+ }
+ }
+
+ else switch ( yy_get_next_buffer( ) )
+ {
+ case EOB_ACT_END_OF_FILE:
+ {
+ (yy_did_buffer_switch_on_eof) = 0;
+
+ if ( yywrap( ) )
+ {
+ /* Note: because we've taken care in
+ * yy_get_next_buffer() to have set up
+ * yytext, we can now set up
+ * yy_c_buf_p so that if some total
+ * hoser (like flex itself) wants to
+ * call the scanner after we return the
+ * YY_NULL, it'll still work - another
+ * YY_NULL will get returned.
+ */
+ (yy_c_buf_p) = (yytext_ptr) + YY_MORE_ADJ;
+
+ yy_act = YY_STATE_EOF(YY_START);
+ goto do_action;
+ }
+
+ else
+ {
+ if ( ! (yy_did_buffer_switch_on_eof) )
+ YY_NEW_FILE;
+ }
+ break;
+ }
+
+ case EOB_ACT_CONTINUE_SCAN:
+ (yy_c_buf_p) =
+ (yytext_ptr) + yy_amount_of_matched_text;
+
+ yy_current_state = yy_get_previous_state( );
+
+ yy_cp = (yy_c_buf_p);
+ yy_bp = (yytext_ptr) + YY_MORE_ADJ;
+ goto yy_match;
+
+ case EOB_ACT_LAST_MATCH:
+ (yy_c_buf_p) =
+ &YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars)];
+
+ yy_current_state = yy_get_previous_state( );
+
+ yy_cp = (yy_c_buf_p);
+ yy_bp = (yytext_ptr) + YY_MORE_ADJ;
+ goto yy_find_action;
+ }
+ break;
+ }
+
+ default:
+ YY_FATAL_ERROR(
+ "fatal flex scanner internal error--no action found" );
+ } /* end of action switch */
+ } /* end of scanning one token */
+ } /* end of user's declarations */
+} /* end of yylex */
+
+/* yy_get_next_buffer - try to read in a new buffer
+ *
+ * Returns a code representing an action:
+ * EOB_ACT_LAST_MATCH -
+ * EOB_ACT_CONTINUE_SCAN - continue scanning from current position
+ * EOB_ACT_END_OF_FILE - end of file
+ */
+static int yy_get_next_buffer (void)
+{
+ char *dest = YY_CURRENT_BUFFER_LVALUE->yy_ch_buf;
+ char *source = (yytext_ptr);
+ int number_to_move, i;
+ int ret_val;
+
+ if ( (yy_c_buf_p) > &YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars) + 1] )
+ YY_FATAL_ERROR(
+ "fatal flex scanner internal error--end of buffer missed" );
+
+ if ( YY_CURRENT_BUFFER_LVALUE->yy_fill_buffer == 0 )
+ { /* Don't try to fill the buffer, so this is an EOF. */
+ if ( (yy_c_buf_p) - (yytext_ptr) - YY_MORE_ADJ == 1 )
+ {
+ /* We matched a single character, the EOB, so
+ * treat this as a final EOF.
+ */
+ return EOB_ACT_END_OF_FILE;
+ }
+
+ else
+ {
+ /* We matched some text prior to the EOB, first
+ * process it.
+ */
+ return EOB_ACT_LAST_MATCH;
+ }
+ }
+
+ /* Try to read more data. */
+
+ /* First move last chars to start of buffer. */
+ number_to_move = (int) ((yy_c_buf_p) - (yytext_ptr) - 1);
+
+ for ( i = 0; i < number_to_move; ++i )
+ *(dest++) = *(source++);
+
+ if ( YY_CURRENT_BUFFER_LVALUE->yy_buffer_status == YY_BUFFER_EOF_PENDING )
+ /* don't do the read, it's not guaranteed to return an EOF,
+ * just force an EOF
+ */
+ YY_CURRENT_BUFFER_LVALUE->yy_n_chars = (yy_n_chars) = 0;
+
+ else
+ {
+ int num_to_read =
+ YY_CURRENT_BUFFER_LVALUE->yy_buf_size - number_to_move - 1;
+
+ while ( num_to_read <= 0 )
+ { /* Not enough room in the buffer - grow it. */
+
+ /* just a shorter name for the current buffer */
+ YY_BUFFER_STATE b = YY_CURRENT_BUFFER_LVALUE;
+
+ int yy_c_buf_p_offset =
+ (int) ((yy_c_buf_p) - b->yy_ch_buf);
+
+ if ( b->yy_is_our_buffer )
+ {
+ int new_size = b->yy_buf_size * 2;
+
+ if ( new_size <= 0 )
+ b->yy_buf_size += b->yy_buf_size / 8;
+ else
+ b->yy_buf_size *= 2;
+
+ b->yy_ch_buf = (char *)
+ /* Include room in for 2 EOB chars. */
+ yyrealloc( (void *) b->yy_ch_buf,
+ (yy_size_t) (b->yy_buf_size + 2) );
+ }
+ else
+ /* Can't grow it, we don't own it. */
+ b->yy_ch_buf = NULL;
+
+ if ( ! b->yy_ch_buf )
+ YY_FATAL_ERROR(
+ "fatal error - scanner input buffer overflow" );
+
+ (yy_c_buf_p) = &b->yy_ch_buf[yy_c_buf_p_offset];
+
+ num_to_read = YY_CURRENT_BUFFER_LVALUE->yy_buf_size -
+ number_to_move - 1;
+
+ }
+
+ if ( num_to_read > YY_READ_BUF_SIZE )
+ num_to_read = YY_READ_BUF_SIZE;
+
+ /* Read in more data. */
+ YY_INPUT( (&YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[number_to_move]),
+ (yy_n_chars), num_to_read );
+
+ YY_CURRENT_BUFFER_LVALUE->yy_n_chars = (yy_n_chars);
+ }
+
+ if ( (yy_n_chars) == 0 )
+ {
+ if ( number_to_move == YY_MORE_ADJ )
+ {
+ ret_val = EOB_ACT_END_OF_FILE;
+ yyrestart( yyin );
+ }
+
+ else
+ {
+ ret_val = EOB_ACT_LAST_MATCH;
+ YY_CURRENT_BUFFER_LVALUE->yy_buffer_status =
+ YY_BUFFER_EOF_PENDING;
+ }
+ }
+
+ else
+ ret_val = EOB_ACT_CONTINUE_SCAN;
+
+ if (((yy_n_chars) + number_to_move) > YY_CURRENT_BUFFER_LVALUE->yy_buf_size) {
+ /* Extend the array by 50%, plus the number we really need. */
+ int new_size = (yy_n_chars) + number_to_move + ((yy_n_chars) >> 1);
+ YY_CURRENT_BUFFER_LVALUE->yy_ch_buf = (char *) yyrealloc(
+ (void *) YY_CURRENT_BUFFER_LVALUE->yy_ch_buf, (yy_size_t) new_size );
+ if ( ! YY_CURRENT_BUFFER_LVALUE->yy_ch_buf )
+ YY_FATAL_ERROR( "out of dynamic memory in yy_get_next_buffer()" );
+ /* "- 2" to take care of EOB's */
+ YY_CURRENT_BUFFER_LVALUE->yy_buf_size = (int) (new_size - 2);
+ }
+
+ (yy_n_chars) += number_to_move;
+ YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars)] = YY_END_OF_BUFFER_CHAR;
+ YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars) + 1] = YY_END_OF_BUFFER_CHAR;
+
+ (yytext_ptr) = &YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[0];
+
+ return ret_val;
+}
+
+/* yy_get_previous_state - get the state just before the EOB char was reached */
+
+ static yy_state_type yy_get_previous_state (void)
+{
+ yy_state_type yy_current_state;
+ char *yy_cp;
+
+ yy_current_state = (yy_start);
+
+ for ( yy_cp = (yytext_ptr) + YY_MORE_ADJ; yy_cp < (yy_c_buf_p); ++yy_cp )
+ {
+ YY_CHAR yy_c = (*yy_cp ? yy_ec[YY_SC_TO_UI(*yy_cp)] : 1);
+ if ( yy_accept[yy_current_state] )
+ {
+ (yy_last_accepting_state) = yy_current_state;
+ (yy_last_accepting_cpos) = yy_cp;
+ }
+ while ( yy_chk[yy_base[yy_current_state] + yy_c] != yy_current_state )
+ {
+ yy_current_state = (int) yy_def[yy_current_state];
+ if ( yy_current_state >= 37 )
+ yy_c = yy_meta[yy_c];
+ }
+ yy_current_state = yy_nxt[yy_base[yy_current_state] + yy_c];
+ }
+
+ return yy_current_state;
+}
+
+/* yy_try_NUL_trans - try to make a transition on the NUL character
+ *
+ * synopsis
+ * next_state = yy_try_NUL_trans( current_state );
+ */
+ static yy_state_type yy_try_NUL_trans (yy_state_type yy_current_state )
+{
+ int yy_is_jam;
+ char *yy_cp = (yy_c_buf_p);
+
+ YY_CHAR yy_c = 1;
+ if ( yy_accept[yy_current_state] )
+ {
+ (yy_last_accepting_state) = yy_current_state;
+ (yy_last_accepting_cpos) = yy_cp;
+ }
+ while ( yy_chk[yy_base[yy_current_state] + yy_c] != yy_current_state )
+ {
+ yy_current_state = (int) yy_def[yy_current_state];
+ if ( yy_current_state >= 37 )
+ yy_c = yy_meta[yy_c];
+ }
+ yy_current_state = yy_nxt[yy_base[yy_current_state] + yy_c];
+ yy_is_jam = (yy_current_state == 36);
+
+ return yy_is_jam ? 0 : yy_current_state;
+}
+
+#ifndef YY_NO_UNPUT
+
+#endif
+
+#ifndef YY_NO_INPUT
+#ifdef __cplusplus
+ static int yyinput (void)
+#else
+ static int input (void)
+#endif
+
+{
+ int c;
+
+ *(yy_c_buf_p) = (yy_hold_char);
+
+ if ( *(yy_c_buf_p) == YY_END_OF_BUFFER_CHAR )
+ {
+ /* yy_c_buf_p now points to the character we want to return.
+ * If this occurs *before* the EOB characters, then it's a
+ * valid NUL; if not, then we've hit the end of the buffer.
+ */
+ if ( (yy_c_buf_p) < &YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars)] )
+ /* This was really a NUL. */
+ *(yy_c_buf_p) = '\0';
+
+ else
+ { /* need more input */
+ int offset = (int) ((yy_c_buf_p) - (yytext_ptr));
+ ++(yy_c_buf_p);
+
+ switch ( yy_get_next_buffer( ) )
+ {
+ case EOB_ACT_LAST_MATCH:
+ /* This happens because yy_g_n_b()
+ * sees that we've accumulated a
+ * token and flags that we need to
+ * try matching the token before
+ * proceeding. But for input(),
+ * there's no matching to consider.
+ * So convert the EOB_ACT_LAST_MATCH
+ * to EOB_ACT_END_OF_FILE.
+ */
+
+ /* Reset buffer status. */
+ yyrestart( yyin );
+
+ /*FALLTHROUGH*/
+
+ case EOB_ACT_END_OF_FILE:
+ {
+ if ( yywrap( ) )
+ return 0;
+
+ if ( ! (yy_did_buffer_switch_on_eof) )
+ YY_NEW_FILE;
+#ifdef __cplusplus
+ return yyinput();
+#else
+ return input();
+#endif
+ }
+
+ case EOB_ACT_CONTINUE_SCAN:
+ (yy_c_buf_p) = (yytext_ptr) + offset;
+ break;
+ }
+ }
+ }
+
+ c = *(unsigned char *) (yy_c_buf_p); /* cast for 8-bit char's */
+ *(yy_c_buf_p) = '\0'; /* preserve yytext */
+ (yy_hold_char) = *++(yy_c_buf_p);
+
+ return c;
+}
+#endif /* ifndef YY_NO_INPUT */
+
+/** Immediately switch to a different input stream.
+ * @param input_file A readable stream.
+ *
+ * @note This function does not reset the start condition to @c INITIAL .
+ */
+ void yyrestart (FILE * input_file )
+{
+
+ if ( ! YY_CURRENT_BUFFER ){
+ yyensure_buffer_stack ();
+ YY_CURRENT_BUFFER_LVALUE =
+ yy_create_buffer( yyin, YY_BUF_SIZE );
+ }
+
+ yy_init_buffer( YY_CURRENT_BUFFER, input_file );
+ yy_load_buffer_state( );
+}
+
+/** Switch to a different input buffer.
+ * @param new_buffer The new input buffer.
+ *
+ */
+ void yy_switch_to_buffer (YY_BUFFER_STATE new_buffer )
+{
+
+ /* TODO. We should be able to replace this entire function body
+ * with
+ * yypop_buffer_state();
+ * yypush_buffer_state(new_buffer);
+ */
+ yyensure_buffer_stack ();
+ if ( YY_CURRENT_BUFFER == new_buffer )
+ return;
+
+ if ( YY_CURRENT_BUFFER )
+ {
+ /* Flush out information for old buffer. */
+ *(yy_c_buf_p) = (yy_hold_char);
+ YY_CURRENT_BUFFER_LVALUE->yy_buf_pos = (yy_c_buf_p);
+ YY_CURRENT_BUFFER_LVALUE->yy_n_chars = (yy_n_chars);
+ }
+
+ YY_CURRENT_BUFFER_LVALUE = new_buffer;
+ yy_load_buffer_state( );
+
+ /* We don't actually know whether we did this switch during
+ * EOF (yywrap()) processing, but the only time this flag
+ * is looked at is after yywrap() is called, so it's safe
+ * to go ahead and always set it.
+ */
+ (yy_did_buffer_switch_on_eof) = 1;
+}
+
+static void yy_load_buffer_state (void)
+{
+ (yy_n_chars) = YY_CURRENT_BUFFER_LVALUE->yy_n_chars;
+ (yytext_ptr) = (yy_c_buf_p) = YY_CURRENT_BUFFER_LVALUE->yy_buf_pos;
+ yyin = YY_CURRENT_BUFFER_LVALUE->yy_input_file;
+ (yy_hold_char) = *(yy_c_buf_p);
+}
+
+/** Allocate and initialize an input buffer state.
+ * @param file A readable stream.
+ * @param size The character buffer size in bytes. When in doubt, use @c YY_BUF_SIZE.
+ *
+ * @return the allocated buffer state.
+ */
+ YY_BUFFER_STATE yy_create_buffer (FILE * file, int size )
+{
+ YY_BUFFER_STATE b;
+
+ b = (YY_BUFFER_STATE) yyalloc( sizeof( struct yy_buffer_state ) );
+ if ( ! b )
+ YY_FATAL_ERROR( "out of dynamic memory in yy_create_buffer()" );
+
+ b->yy_buf_size = size;
+
+ /* yy_ch_buf has to be 2 characters longer than the size given because
+ * we need to put in 2 end-of-buffer characters.
+ */
+ b->yy_ch_buf = (char *) yyalloc( (yy_size_t) (b->yy_buf_size + 2) );
+ if ( ! b->yy_ch_buf )
+ YY_FATAL_ERROR( "out of dynamic memory in yy_create_buffer()" );
+
+ b->yy_is_our_buffer = 1;
+
+ yy_init_buffer( b, file );
+
+ return b;
+}
+
+/** Destroy the buffer.
+ * @param b a buffer created with yy_create_buffer()
+ *
+ */
+ void yy_delete_buffer (YY_BUFFER_STATE b )
+{
+
+ if ( ! b )
+ return;
+
+ if ( b == YY_CURRENT_BUFFER ) /* Not sure if we should pop here. */
+ YY_CURRENT_BUFFER_LVALUE = (YY_BUFFER_STATE) 0;
+
+ if ( b->yy_is_our_buffer )
+ yyfree( (void *) b->yy_ch_buf );
+
+ yyfree( (void *) b );
+}
+
+/* Initializes or reinitializes a buffer.
+ * This function is sometimes called more than once on the same buffer,
+ * such as during a yyrestart() or at EOF.
+ */
+ static void yy_init_buffer (YY_BUFFER_STATE b, FILE * file )
+
+{
+ int oerrno = errno;
+
+ yy_flush_buffer( b );
+
+ b->yy_input_file = file;
+ b->yy_fill_buffer = 1;
+
+ /* If b is the current buffer, then yy_init_buffer was _probably_
+ * called from yyrestart() or through yy_get_next_buffer.
+ * In that case, we don't want to reset the lineno or column.
+ */
+ if (b != YY_CURRENT_BUFFER){
+ b->yy_bs_lineno = 1;
+ b->yy_bs_column = 0;
+ }
+
+ b->yy_is_interactive = 0;
+
+ errno = oerrno;
+}
+
+/** Discard all buffered characters. On the next scan, YY_INPUT will be called.
+ * @param b the buffer state to be flushed, usually @c YY_CURRENT_BUFFER.
+ *
+ */
+ void yy_flush_buffer (YY_BUFFER_STATE b )
+{
+ if ( ! b )
+ return;
+
+ b->yy_n_chars = 0;
+
+ /* We always need two end-of-buffer characters. The first causes
+ * a transition to the end-of-buffer state. The second causes
+ * a jam in that state.
+ */
+ b->yy_ch_buf[0] = YY_END_OF_BUFFER_CHAR;
+ b->yy_ch_buf[1] = YY_END_OF_BUFFER_CHAR;
+
+ b->yy_buf_pos = &b->yy_ch_buf[0];
+
+ b->yy_at_bol = 1;
+ b->yy_buffer_status = YY_BUFFER_NEW;
+
+ if ( b == YY_CURRENT_BUFFER )
+ yy_load_buffer_state( );
+}
+
+/** Pushes the new state onto the stack. The new state becomes
+ * the current state. This function will allocate the stack
+ * if necessary.
+ * @param new_buffer The new state.
+ *
+ */
+void yypush_buffer_state (YY_BUFFER_STATE new_buffer )
+{
+ if (new_buffer == NULL)
+ return;
+
+ yyensure_buffer_stack();
+
+ /* This block is copied from yy_switch_to_buffer. */
+ if ( YY_CURRENT_BUFFER )
+ {
+ /* Flush out information for old buffer. */
+ *(yy_c_buf_p) = (yy_hold_char);
+ YY_CURRENT_BUFFER_LVALUE->yy_buf_pos = (yy_c_buf_p);
+ YY_CURRENT_BUFFER_LVALUE->yy_n_chars = (yy_n_chars);
+ }
+
+ /* Only push if top exists. Otherwise, replace top. */
+ if (YY_CURRENT_BUFFER)
+ (yy_buffer_stack_top)++;
+ YY_CURRENT_BUFFER_LVALUE = new_buffer;
+
+ /* copied from yy_switch_to_buffer. */
+ yy_load_buffer_state( );
+ (yy_did_buffer_switch_on_eof) = 1;
+}
+
+/** Removes and deletes the top of the stack, if present.
+ * The next element becomes the new top.
+ *
+ */
+void yypop_buffer_state (void)
+{
+ if (!YY_CURRENT_BUFFER)
+ return;
+
+ yy_delete_buffer(YY_CURRENT_BUFFER );
+ YY_CURRENT_BUFFER_LVALUE = NULL;
+ if ((yy_buffer_stack_top) > 0)
+ --(yy_buffer_stack_top);
+
+ if (YY_CURRENT_BUFFER) {
+ yy_load_buffer_state( );
+ (yy_did_buffer_switch_on_eof) = 1;
+ }
+}
+
+/* Allocates the stack if it does not exist.
+ * Guarantees space for at least one push.
+ */
+static void yyensure_buffer_stack (void)
+{
+ yy_size_t num_to_alloc;
+
+ if (!(yy_buffer_stack)) {
+
+ /* First allocation is just for 2 elements, since we don't know if this
+ * scanner will even need a stack. We use 2 instead of 1 to avoid an
+ * immediate realloc on the next call.
+ */
+ num_to_alloc = 1; /* After all that talk, this was set to 1 anyways... */
+ (yy_buffer_stack) = (struct yy_buffer_state**)yyalloc
+ (num_to_alloc * sizeof(struct yy_buffer_state*)
+ );
+ if ( ! (yy_buffer_stack) )
+ YY_FATAL_ERROR( "out of dynamic memory in yyensure_buffer_stack()" );
+
+ memset((yy_buffer_stack), 0, num_to_alloc * sizeof(struct yy_buffer_state*));
+
+ (yy_buffer_stack_max) = num_to_alloc;
+ (yy_buffer_stack_top) = 0;
+ return;
+ }
+
+ if ((yy_buffer_stack_top) >= ((yy_buffer_stack_max)) - 1){
+
+ /* Increase the buffer to prepare for a possible push. */
+ yy_size_t grow_size = 8 /* arbitrary grow size */;
+
+ num_to_alloc = (yy_buffer_stack_max) + grow_size;
+ (yy_buffer_stack) = (struct yy_buffer_state**)yyrealloc
+ ((yy_buffer_stack),
+ num_to_alloc * sizeof(struct yy_buffer_state*)
+ );
+ if ( ! (yy_buffer_stack) )
+ YY_FATAL_ERROR( "out of dynamic memory in yyensure_buffer_stack()" );
+
+ /* zero only the new slots.*/
+ memset((yy_buffer_stack) + (yy_buffer_stack_max), 0, grow_size * sizeof(struct yy_buffer_state*));
+ (yy_buffer_stack_max) = num_to_alloc;
+ }
+}
+
+/** Setup the input buffer state to scan directly from a user-specified character buffer.
+ * @param base the character buffer
+ * @param size the size in bytes of the character buffer
+ *
+ * @return the newly allocated buffer state object.
+ */
+YY_BUFFER_STATE yy_scan_buffer (char * base, yy_size_t size )
+{
+ YY_BUFFER_STATE b;
+
+ if ( size < 2 ||
+ base[size-2] != YY_END_OF_BUFFER_CHAR ||
+ base[size-1] != YY_END_OF_BUFFER_CHAR )
+ /* They forgot to leave room for the EOB's. */
+ return NULL;
+
+ b = (YY_BUFFER_STATE) yyalloc( sizeof( struct yy_buffer_state ) );
+ if ( ! b )
+ YY_FATAL_ERROR( "out of dynamic memory in yy_scan_buffer()" );
+
+ b->yy_buf_size = (int) (size - 2); /* "- 2" to take care of EOB's */
+ b->yy_buf_pos = b->yy_ch_buf = base;
+ b->yy_is_our_buffer = 0;
+ b->yy_input_file = NULL;
+ b->yy_n_chars = b->yy_buf_size;
+ b->yy_is_interactive = 0;
+ b->yy_at_bol = 1;
+ b->yy_fill_buffer = 0;
+ b->yy_buffer_status = YY_BUFFER_NEW;
+
+ yy_switch_to_buffer( b );
+
+ return b;
+}
+
+/** Setup the input buffer state to scan a string. The next call to yylex() will
+ * scan from a @e copy of @a str.
+ * @param yystr a NUL-terminated string to scan
+ *
+ * @return the newly allocated buffer state object.
+ * @note If you want to scan bytes that may contain NUL values, then use
+ * yy_scan_bytes() instead.
+ */
+YY_BUFFER_STATE yy_scan_string (const char * yystr )
+{
+
+ return yy_scan_bytes( yystr, (int) strlen(yystr) );
+}
+
+/** Setup the input buffer state to scan the given bytes. The next call to yylex() will
+ * scan from a @e copy of @a bytes.
+ * @param yybytes the byte buffer to scan
+ * @param _yybytes_len the number of bytes in the buffer pointed to by @a bytes.
+ *
+ * @return the newly allocated buffer state object.
+ */
+YY_BUFFER_STATE yy_scan_bytes (const char * yybytes, int _yybytes_len )
+{
+ YY_BUFFER_STATE b;
+ char *buf;
+ yy_size_t n;
+ int i;
+
+ /* Get memory for full buffer, including space for trailing EOB's. */
+ n = (yy_size_t) (_yybytes_len + 2);
+ buf = (char *) yyalloc( n );
+ if ( ! buf )
+ YY_FATAL_ERROR( "out of dynamic memory in yy_scan_bytes()" );
+
+ for ( i = 0; i < _yybytes_len; ++i )
+ buf[i] = yybytes[i];
+
+ buf[_yybytes_len] = buf[_yybytes_len+1] = YY_END_OF_BUFFER_CHAR;
+
+ b = yy_scan_buffer( buf, n );
+ if ( ! b )
+ YY_FATAL_ERROR( "bad buffer in yy_scan_bytes()" );
+
+ /* It's okay to grow etc. this buffer, and we should throw it
+ * away when we're done.
+ */
+ b->yy_is_our_buffer = 1;
+
+ return b;
+}
+
+#ifndef YY_EXIT_FAILURE
+#define YY_EXIT_FAILURE 2
+#endif
+
+static void yynoreturn yy_fatal_error (const char* msg )
+{
+ fprintf( stderr, "%s\n", msg );
+ exit( YY_EXIT_FAILURE );
+}
+
+/* Redefine yyless() so it works in section 3 code. */
+
+#undef yyless
+#define yyless(n) \
+ do \
+ { \
+ /* Undo effects of setting up yytext. */ \
+ int yyless_macro_arg = (n); \
+ YY_LESS_LINENO(yyless_macro_arg);\
+ yytext[yyleng] = (yy_hold_char); \
+ (yy_c_buf_p) = yytext + yyless_macro_arg; \
+ (yy_hold_char) = *(yy_c_buf_p); \
+ *(yy_c_buf_p) = '\0'; \
+ yyleng = yyless_macro_arg; \
+ } \
+ while ( 0 )
+
+/* Accessor methods (get/set functions) to struct members. */
+
+/** Get the current line number.
+ *
+ */
+int yyget_lineno (void)
+{
+
+ return yylineno;
+}
+
+/** Get the input stream.
+ *
+ */
+FILE *yyget_in (void)
+{
+ return yyin;
+}
+
+/** Get the output stream.
+ *
+ */
+FILE *yyget_out (void)
+{
+ return yyout;
+}
+
+/** Get the length of the current token.
+ *
+ */
+int yyget_leng (void)
+{
+ return yyleng;
+}
+
+/** Get the current token.
+ *
+ */
+
+char *yyget_text (void)
+{
+ return yytext;
+}
+
+/** Set the current line number.
+ * @param _line_number line number
+ *
+ */
+void yyset_lineno (int _line_number )
+{
+
+ yylineno = _line_number;
+}
+
+/** Set the input stream. This does not discard the current
+ * input buffer.
+ * @param _in_str A readable stream.
+ *
+ * @see yy_switch_to_buffer
+ */
+void yyset_in (FILE * _in_str )
+{
+ yyin = _in_str ;
+}
+
+void yyset_out (FILE * _out_str )
+{
+ yyout = _out_str ;
+}
+
+int yyget_debug (void)
+{
+ return yy_flex_debug;
+}
+
+void yyset_debug (int _bdebug )
+{
+ yy_flex_debug = _bdebug ;
+}
+
+static int yy_init_globals (void)
+{
+ /* Initialization is the same as for the non-reentrant scanner.
+ * This function is called from yylex_destroy(), so don't allocate here.
+ */
+
+ (yy_buffer_stack) = NULL;
+ (yy_buffer_stack_top) = 0;
+ (yy_buffer_stack_max) = 0;
+ (yy_c_buf_p) = NULL;
+ (yy_init) = 0;
+ (yy_start) = 0;
+
+/* Defined in main.c */
+#ifdef YY_STDINIT
+ yyin = stdin;
+ yyout = stdout;
+#else
+ yyin = NULL;
+ yyout = NULL;
+#endif
+
+ /* For future reference: Set errno on error, since we are called by
+ * yylex_init()
+ */
+ return 0;
+}
+
+/* yylex_destroy is for both reentrant and non-reentrant scanners. */
+int yylex_destroy (void)
+{
+
+ /* Pop the buffer stack, destroying each element. */
+ while(YY_CURRENT_BUFFER){
+ yy_delete_buffer( YY_CURRENT_BUFFER );
+ YY_CURRENT_BUFFER_LVALUE = NULL;
+ yypop_buffer_state();
+ }
+
+ /* Destroy the stack itself. */
+ yyfree((yy_buffer_stack) );
+ (yy_buffer_stack) = NULL;
+
+ /* Reset the globals. This is important in a non-reentrant scanner so the next time
+ * yylex() is called, initialization will occur. */
+ yy_init_globals( );
+
+ return 0;
+}
+
+/*
+ * Internal utility routines.
+ */
+
+#ifndef yytext_ptr
+static void yy_flex_strncpy (char* s1, const char * s2, int n )
+{
+
+ int i;
+ for ( i = 0; i < n; ++i )
+ s1[i] = s2[i];
+}
+#endif
+
+#ifdef YY_NEED_STRLEN
+static int yy_flex_strlen (const char * s )
+{
+ int n;
+ for ( n = 0; s[n]; ++n )
+ ;
+
+ return n;
+}
+#endif
+
+void *yyalloc (yy_size_t size )
+{
+ return malloc(size);
+}
+
+void *yyrealloc (void * ptr, yy_size_t size )
+{
+
+ /* The cast to (char *) in the following accommodates both
+ * implementations that use char* generic pointers, and those
+ * that use void* generic pointers. It works with the latter
+ * because both ANSI C and C++ allow castless assignment from
+ * any pointer type to void*, and deal with argument conversions
+ * as though doing an assignment.
+ */
+ return realloc(ptr, size);
+}
+
+void yyfree (void * ptr )
+{
+ free( (char *) ptr ); /* see yyrealloc() for (char *) cast */
+}
+
+#define YYTABLES_NAME "yytables"
+
+#line 59 "cubescan.l"
+
+
+/* LCOV_EXCL_STOP */
+
+/* result is not used, but Bison expects this signature */
+void
+yyerror(NDBOX **result, const char *message)
+{
+ if (*yytext == YY_END_OF_BUFFER_CHAR)
+ {
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+ errmsg("invalid input syntax for cube"),
+ /* translator: %s is typically "syntax error" */
+ errdetail("%s at end of input", message)));
+ }
+ else
+ {
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+ errmsg("invalid input syntax for cube"),
+ /* translator: first %s is typically "syntax error" */
+ errdetail("%s at or near \"%s\"", message, yytext)));
+ }
+}
+
+
+/*
+ * Called before any actual parsing is done
+ */
+void
+cube_scanner_init(const char *str)
+{
+ Size slen = strlen(str);
+
+ /*
+ * Might be left over after ereport()
+ */
+ if (YY_CURRENT_BUFFER)
+ yy_delete_buffer(YY_CURRENT_BUFFER);
+
+ /*
+ * Make a scan buffer with special termination needed by flex.
+ */
+ scanbuflen = slen;
+ scanbuf = palloc(slen + 2);
+ memcpy(scanbuf, str, slen);
+ scanbuf[slen] = scanbuf[slen + 1] = YY_END_OF_BUFFER_CHAR;
+ scanbufhandle = yy_scan_buffer(scanbuf, slen + 2);
+
+ BEGIN(INITIAL);
+}
+
+
+/*
+ * Called after parsing is done to clean up after cube_scanner_init()
+ */
+void
+cube_scanner_finish(void)
+{
+ yy_delete_buffer(scanbufhandle);
+ pfree(scanbuf);
+}
+
diff --git a/contrib/cube/cubescan.l b/contrib/cube/cubescan.l
new file mode 100644
index 0000000..bd400e3
--- /dev/null
+++ b/contrib/cube/cubescan.l
@@ -0,0 +1,121 @@
+%{
+/*
+ * A scanner for EMP-style numeric ranges
+ * contrib/cube/cubescan.l
+ */
+
+/* LCOV_EXCL_START */
+
+/* No reason to constrain amount of data slurped */
+#define YY_READ_BUF_SIZE 16777216
+
+/* Avoid exit() on fatal scanner errors (a bit ugly -- see yy_fatal_error) */
+#undef fprintf
+#define fprintf(file, fmt, msg) fprintf_to_ereport(fmt, msg)
+
+static void
+fprintf_to_ereport(const char *fmt, const char *msg)
+{
+ ereport(ERROR, (errmsg_internal("%s", msg)));
+}
+
+/* Handles to the buffer that the lexer uses internally */
+static YY_BUFFER_STATE scanbufhandle;
+/* this is now declared in cubeparse.y: */
+/* static char *scanbuf; */
+/* static int scanbuflen; */
+%}
+
+%option 8bit
+%option never-interactive
+%option nodefault
+%option noinput
+%option nounput
+%option noyywrap
+%option warn
+%option prefix="cube_yy"
+
+
+n [0-9]+
+integer [+-]?{n}
+real [+-]?({n}\.{n}?|\.{n})
+float ({integer}|{real})([eE]{integer})?
+infinity [+-]?[iI][nN][fF]([iI][nN][iI][tT][yY])?
+NaN [nN][aA][nN]
+
+%%
+
+{float} yylval = yytext; return CUBEFLOAT;
+{infinity} yylval = yytext; return CUBEFLOAT;
+{NaN} yylval = yytext; return CUBEFLOAT;
+\[ yylval = "("; return O_BRACKET;
+\] yylval = ")"; return C_BRACKET;
+\( yylval = "("; return O_PAREN;
+\) yylval = ")"; return C_PAREN;
+\, yylval = ","; return COMMA;
+[ \t\n\r\f]+ /* discard spaces */
+. return yytext[0]; /* alert parser of the garbage */
+
+%%
+
+/* LCOV_EXCL_STOP */
+
+/* result is not used, but Bison expects this signature */
+void
+yyerror(NDBOX **result, const char *message)
+{
+ if (*yytext == YY_END_OF_BUFFER_CHAR)
+ {
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+ errmsg("invalid input syntax for cube"),
+ /* translator: %s is typically "syntax error" */
+ errdetail("%s at end of input", message)));
+ }
+ else
+ {
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+ errmsg("invalid input syntax for cube"),
+ /* translator: first %s is typically "syntax error" */
+ errdetail("%s at or near \"%s\"", message, yytext)));
+ }
+}
+
+
+/*
+ * Called before any actual parsing is done
+ */
+void
+cube_scanner_init(const char *str)
+{
+ Size slen = strlen(str);
+
+ /*
+ * Might be left over after ereport()
+ */
+ if (YY_CURRENT_BUFFER)
+ yy_delete_buffer(YY_CURRENT_BUFFER);
+
+ /*
+ * Make a scan buffer with special termination needed by flex.
+ */
+ scanbuflen = slen;
+ scanbuf = palloc(slen + 2);
+ memcpy(scanbuf, str, slen);
+ scanbuf[slen] = scanbuf[slen + 1] = YY_END_OF_BUFFER_CHAR;
+ scanbufhandle = yy_scan_buffer(scanbuf, slen + 2);
+
+ BEGIN(INITIAL);
+}
+
+
+/*
+ * Called after parsing is done to clean up after cube_scanner_init()
+ */
+void
+cube_scanner_finish(void)
+{
+ yy_delete_buffer(scanbufhandle);
+ pfree(scanbuf);
+}
diff --git a/contrib/cube/data/test_cube.data b/contrib/cube/data/test_cube.data
new file mode 100644
index 0000000..d67cd12
--- /dev/null
+++ b/contrib/cube/data/test_cube.data
@@ -0,0 +1,3100 @@
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+(38393,10270),(38326,10185)
+(4247,12615),(4225,12567)
+(36100,33156),(36100,33107)
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+(3927,44892),(3914,44843)
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+(37097,21814),(37025,21811)
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+(823,22487),(781,22442)
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+(9576,10226),(9540,10218)
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+(44880,34228),(44877,34169)
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diff --git a/contrib/cube/expected/cube.out b/contrib/cube/expected/cube.out
new file mode 100644
index 0000000..5b89cb1
--- /dev/null
+++ b/contrib/cube/expected/cube.out
@@ -0,0 +1,1950 @@
+--
+-- Test cube datatype
+--
+CREATE EXTENSION cube;
+-- Check whether any of our opclasses fail amvalidate
+SELECT amname, opcname
+FROM pg_opclass opc LEFT JOIN pg_am am ON am.oid = opcmethod
+WHERE opc.oid >= 16384 AND NOT amvalidate(opc.oid);
+ amname | opcname
+--------+---------
+(0 rows)
+
+--
+-- testing the input and output functions
+--
+-- Any number (a one-dimensional point)
+SELECT '1'::cube AS cube;
+ cube
+------
+ (1)
+(1 row)
+
+SELECT '-1'::cube AS cube;
+ cube
+------
+ (-1)
+(1 row)
+
+SELECT '1.'::cube AS cube;
+ cube
+------
+ (1)
+(1 row)
+
+SELECT '-1.'::cube AS cube;
+ cube
+------
+ (-1)
+(1 row)
+
+SELECT '.1'::cube AS cube;
+ cube
+-------
+ (0.1)
+(1 row)
+
+SELECT '-.1'::cube AS cube;
+ cube
+--------
+ (-0.1)
+(1 row)
+
+SELECT '1.0'::cube AS cube;
+ cube
+------
+ (1)
+(1 row)
+
+SELECT '-1.0'::cube AS cube;
+ cube
+------
+ (-1)
+(1 row)
+
+SELECT 'infinity'::cube AS cube;
+ cube
+------------
+ (Infinity)
+(1 row)
+
+SELECT '-infinity'::cube AS cube;
+ cube
+-------------
+ (-Infinity)
+(1 row)
+
+SELECT 'NaN'::cube AS cube;
+ cube
+-------
+ (NaN)
+(1 row)
+
+SELECT '.1234567890123456'::cube AS cube;
+ cube
+----------------------
+ (0.1234567890123456)
+(1 row)
+
+SELECT '+.1234567890123456'::cube AS cube;
+ cube
+----------------------
+ (0.1234567890123456)
+(1 row)
+
+SELECT '-.1234567890123456'::cube AS cube;
+ cube
+-----------------------
+ (-0.1234567890123456)
+(1 row)
+
+-- simple lists (points)
+SELECT '()'::cube AS cube;
+ cube
+------
+ ()
+(1 row)
+
+SELECT '1,2'::cube AS cube;
+ cube
+--------
+ (1, 2)
+(1 row)
+
+SELECT '(1,2)'::cube AS cube;
+ cube
+--------
+ (1, 2)
+(1 row)
+
+SELECT '1,2,3,4,5'::cube AS cube;
+ cube
+-----------------
+ (1, 2, 3, 4, 5)
+(1 row)
+
+SELECT '(1,2,3,4,5)'::cube AS cube;
+ cube
+-----------------
+ (1, 2, 3, 4, 5)
+(1 row)
+
+-- double lists (cubes)
+SELECT '(),()'::cube AS cube;
+ cube
+------
+ ()
+(1 row)
+
+SELECT '(0),(0)'::cube AS cube;
+ cube
+------
+ (0)
+(1 row)
+
+SELECT '(0),(1)'::cube AS cube;
+ cube
+---------
+ (0),(1)
+(1 row)
+
+SELECT '[(0),(0)]'::cube AS cube;
+ cube
+------
+ (0)
+(1 row)
+
+SELECT '[(0),(1)]'::cube AS cube;
+ cube
+---------
+ (0),(1)
+(1 row)
+
+SELECT '(0,0,0,0),(0,0,0,0)'::cube AS cube;
+ cube
+--------------
+ (0, 0, 0, 0)
+(1 row)
+
+SELECT '(0,0,0,0),(1,0,0,0)'::cube AS cube;
+ cube
+---------------------------
+ (0, 0, 0, 0),(1, 0, 0, 0)
+(1 row)
+
+SELECT '[(0,0,0,0),(0,0,0,0)]'::cube AS cube;
+ cube
+--------------
+ (0, 0, 0, 0)
+(1 row)
+
+SELECT '[(0,0,0,0),(1,0,0,0)]'::cube AS cube;
+ cube
+---------------------------
+ (0, 0, 0, 0),(1, 0, 0, 0)
+(1 row)
+
+-- invalid input: parse errors
+SELECT ''::cube AS cube;
+ERROR: invalid input syntax for cube
+LINE 1: SELECT ''::cube AS cube;
+ ^
+DETAIL: syntax error at end of input
+SELECT 'ABC'::cube AS cube;
+ERROR: invalid input syntax for cube
+LINE 1: SELECT 'ABC'::cube AS cube;
+ ^
+DETAIL: syntax error at or near "A"
+SELECT '[]'::cube AS cube;
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '[]'::cube AS cube;
+ ^
+DETAIL: syntax error at or near "]"
+SELECT '[()]'::cube AS cube;
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '[()]'::cube AS cube;
+ ^
+DETAIL: syntax error at or near "]"
+SELECT '[(1)]'::cube AS cube;
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '[(1)]'::cube AS cube;
+ ^
+DETAIL: syntax error at or near "]"
+SELECT '[(1),]'::cube AS cube;
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '[(1),]'::cube AS cube;
+ ^
+DETAIL: syntax error at or near "]"
+SELECT '[(1),2]'::cube AS cube;
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '[(1),2]'::cube AS cube;
+ ^
+DETAIL: syntax error at or near "2"
+SELECT '[(1),(2),(3)]'::cube AS cube;
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '[(1),(2),(3)]'::cube AS cube;
+ ^
+DETAIL: syntax error at or near ","
+SELECT '1,'::cube AS cube;
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '1,'::cube AS cube;
+ ^
+DETAIL: syntax error at end of input
+SELECT '1,2,'::cube AS cube;
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '1,2,'::cube AS cube;
+ ^
+DETAIL: syntax error at end of input
+SELECT '1,,2'::cube AS cube;
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '1,,2'::cube AS cube;
+ ^
+DETAIL: syntax error at or near ","
+SELECT '(1,)'::cube AS cube;
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '(1,)'::cube AS cube;
+ ^
+DETAIL: syntax error at or near ")"
+SELECT '(1,2,)'::cube AS cube;
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '(1,2,)'::cube AS cube;
+ ^
+DETAIL: syntax error at or near ")"
+SELECT '(1,,2)'::cube AS cube;
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '(1,,2)'::cube AS cube;
+ ^
+DETAIL: syntax error at or near ","
+-- invalid input: semantic errors and trailing garbage
+SELECT '[(1),(2)],'::cube AS cube; -- 0
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '[(1),(2)],'::cube AS cube;
+ ^
+DETAIL: syntax error at or near ","
+SELECT '[(1,2,3),(2,3)]'::cube AS cube; -- 1
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '[(1,2,3),(2,3)]'::cube AS cube;
+ ^
+DETAIL: Different point dimensions in (1,2,3) and (2,3).
+SELECT '[(1,2),(1,2,3)]'::cube AS cube; -- 1
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '[(1,2),(1,2,3)]'::cube AS cube;
+ ^
+DETAIL: Different point dimensions in (1,2) and (1,2,3).
+SELECT '(1),(2),'::cube AS cube; -- 2
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '(1),(2),'::cube AS cube;
+ ^
+DETAIL: syntax error at or near ","
+SELECT '(1,2,3),(2,3)'::cube AS cube; -- 3
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '(1,2,3),(2,3)'::cube AS cube;
+ ^
+DETAIL: Different point dimensions in (1,2,3) and (2,3).
+SELECT '(1,2),(1,2,3)'::cube AS cube; -- 3
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '(1,2),(1,2,3)'::cube AS cube;
+ ^
+DETAIL: Different point dimensions in (1,2) and (1,2,3).
+SELECT '(1,2,3)ab'::cube AS cube; -- 4
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '(1,2,3)ab'::cube AS cube;
+ ^
+DETAIL: syntax error at or near "a"
+SELECT '(1,2,3)a'::cube AS cube; -- 5
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '(1,2,3)a'::cube AS cube;
+ ^
+DETAIL: syntax error at or near "a"
+SELECT '(1,2)('::cube AS cube; -- 5
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '(1,2)('::cube AS cube;
+ ^
+DETAIL: syntax error at or near "("
+SELECT '1,2ab'::cube AS cube; -- 6
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '1,2ab'::cube AS cube;
+ ^
+DETAIL: syntax error at or near "a"
+SELECT '1 e7'::cube AS cube; -- 6
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '1 e7'::cube AS cube;
+ ^
+DETAIL: syntax error at or near "e"
+SELECT '1,2a'::cube AS cube; -- 7
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '1,2a'::cube AS cube;
+ ^
+DETAIL: syntax error at or near "a"
+SELECT '1..2'::cube AS cube; -- 7
+ERROR: invalid input syntax for cube
+LINE 1: SELECT '1..2'::cube AS cube;
+ ^
+DETAIL: syntax error at or near ".2"
+SELECT '-1e-700'::cube AS cube; -- out of range
+ERROR: "-1e-700" is out of range for type double precision
+LINE 1: SELECT '-1e-700'::cube AS cube;
+ ^
+--
+-- Testing building cubes from float8 values
+--
+SELECT cube(0::float8);
+ cube
+------
+ (0)
+(1 row)
+
+SELECT cube(1::float8);
+ cube
+------
+ (1)
+(1 row)
+
+SELECT cube(1,2);
+ cube
+---------
+ (1),(2)
+(1 row)
+
+SELECT cube(cube(1,2),3);
+ cube
+---------------
+ (1, 3),(2, 3)
+(1 row)
+
+SELECT cube(cube(1,2),3,4);
+ cube
+---------------
+ (1, 3),(2, 4)
+(1 row)
+
+SELECT cube(cube(cube(1,2),3,4),5);
+ cube
+---------------------
+ (1, 3, 5),(2, 4, 5)
+(1 row)
+
+SELECT cube(cube(cube(1,2),3,4),5,6);
+ cube
+---------------------
+ (1, 3, 5),(2, 4, 6)
+(1 row)
+
+--
+-- Test that the text -> cube cast was installed.
+--
+SELECT '(0)'::text::cube;
+ cube
+------
+ (0)
+(1 row)
+
+--
+-- Test the float[] -> cube cast
+--
+SELECT cube('{0,1,2}'::float[], '{3,4,5}'::float[]);
+ cube
+---------------------
+ (0, 1, 2),(3, 4, 5)
+(1 row)
+
+SELECT cube('{0,1,2}'::float[], '{3}'::float[]);
+ERROR: UR and LL arrays must be of same length
+SELECT cube(NULL::float[], '{3}'::float[]);
+ cube
+------
+
+(1 row)
+
+SELECT cube('{0,1,2}'::float[]);
+ cube
+-----------
+ (0, 1, 2)
+(1 row)
+
+SELECT cube_subset(cube('(1,3,5),(6,7,8)'), ARRAY[3,2,1,1]);
+ cube_subset
+---------------------------
+ (5, 3, 1, 1),(8, 7, 6, 6)
+(1 row)
+
+SELECT cube_subset(cube('(1,3,5),(1,3,5)'), ARRAY[3,2,1,1]);
+ cube_subset
+--------------
+ (5, 3, 1, 1)
+(1 row)
+
+SELECT cube_subset(cube('(1,3,5),(6,7,8)'), ARRAY[4,0]);
+ERROR: Index out of bounds
+SELECT cube_subset(cube('(6,7,8),(6,7,8)'), ARRAY[4,0]);
+ERROR: Index out of bounds
+-- test for limits: this should pass
+SELECT cube_subset(cube('(6,7,8),(6,7,8)'), array(SELECT 1 as a FROM generate_series(1,100)));
+ cube_subset
+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
+ (6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6)
+(1 row)
+
+-- and this should fail
+SELECT cube_subset(cube('(6,7,8),(6,7,8)'), array(SELECT 1 as a FROM generate_series(1,101)));
+ERROR: array is too long
+DETAIL: A cube cannot have more than 100 dimensions.
+--
+-- Test point processing
+--
+SELECT cube('(1,2),(1,2)'); -- cube_in
+ cube
+--------
+ (1, 2)
+(1 row)
+
+SELECT cube('{0,1,2}'::float[], '{0,1,2}'::float[]); -- cube_a_f8_f8
+ cube
+-----------
+ (0, 1, 2)
+(1 row)
+
+SELECT cube('{5,6,7,8}'::float[]); -- cube_a_f8
+ cube
+--------------
+ (5, 6, 7, 8)
+(1 row)
+
+SELECT cube(1.37); -- cube_f8
+ cube
+--------
+ (1.37)
+(1 row)
+
+SELECT cube(1.37, 1.37); -- cube_f8_f8
+ cube
+--------
+ (1.37)
+(1 row)
+
+SELECT cube(cube(1,1), 42); -- cube_c_f8
+ cube
+---------
+ (1, 42)
+(1 row)
+
+SELECT cube(cube(1,2), 42); -- cube_c_f8
+ cube
+-----------------
+ (1, 42),(2, 42)
+(1 row)
+
+SELECT cube(cube(1,1), 42, 42); -- cube_c_f8_f8
+ cube
+---------
+ (1, 42)
+(1 row)
+
+SELECT cube(cube(1,1), 42, 24); -- cube_c_f8_f8
+ cube
+-----------------
+ (1, 42),(1, 24)
+(1 row)
+
+SELECT cube(cube(1,2), 42, 42); -- cube_c_f8_f8
+ cube
+-----------------
+ (1, 42),(2, 42)
+(1 row)
+
+SELECT cube(cube(1,2), 42, 24); -- cube_c_f8_f8
+ cube
+-----------------
+ (1, 42),(2, 24)
+(1 row)
+
+--
+-- Testing limit of CUBE_MAX_DIM dimensions check in cube_in.
+--
+-- create too big cube from literal
+select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
+ERROR: invalid input syntax for cube
+LINE 1: select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0...
+ ^
+DETAIL: A cube cannot have more than 100 dimensions.
+select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0),(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
+ERROR: invalid input syntax for cube
+LINE 1: select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0...
+ ^
+DETAIL: A cube cannot have more than 100 dimensions.
+-- from an array
+select cube(array(SELECT 0 as a FROM generate_series(1,101)));
+ERROR: array is too long
+DETAIL: A cube cannot have more than 100 dimensions.
+select cube(array(SELECT 0 as a FROM generate_series(1,101)),array(SELECT 0 as a FROM generate_series(1,101)));
+ERROR: can't extend cube
+DETAIL: A cube cannot have more than 100 dimensions.
+-- extend cube beyond limit
+-- this should work
+select cube(array(SELECT 0 as a FROM generate_series(1,100)));
+ cube
+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
+ (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
+(1 row)
+
+select cube(array(SELECT 0 as a FROM generate_series(1,100)),array(SELECT 0 as a FROM generate_series(1,100)));
+ cube
+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
+ (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
+(1 row)
+
+-- this should fail
+select cube(cube(array(SELECT 0 as a FROM generate_series(1,100))), 0);
+ERROR: can't extend cube
+DETAIL: A cube cannot have more than 100 dimensions.
+select cube(cube(array(SELECT 0 as a FROM generate_series(1,100)),array(SELECT 0 as a FROM generate_series(1,100))), 0, 0);
+ERROR: can't extend cube
+DETAIL: A cube cannot have more than 100 dimensions.
+--
+-- testing the operators
+--
+-- equality/inequality:
+--
+SELECT '24, 33.20'::cube = '24, 33.20'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '24, 33.20'::cube != '24, 33.20'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+SELECT '24, 33.20'::cube = '24, 33.21'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+SELECT '24, 33.20'::cube != '24, 33.21'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(2,0),(3,1)'::cube = '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+SELECT '(2,0),(3,1)'::cube = '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+-- "lower than" / "greater than"
+-- (these operators are not useful for anything but ordering)
+--
+SELECT '1'::cube > '2'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+SELECT '1'::cube < '2'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '1,1'::cube > '1,2'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+SELECT '1,1'::cube < '1,2'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(2,0),(3,1)'::cube > '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+SELECT '(2,0),(3,1)'::cube < '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(2,0),(3,1)'::cube > '(2,0,0,0,1),(3,1,0,0,0)'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+SELECT '(2,0),(3,1)'::cube < '(2,0,0,0,1),(3,1,0,0,0)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(2,0),(3,1)'::cube > '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+SELECT '(2,0),(3,1)'::cube < '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(2,0,0,0,0),(3,1,0,0,1)'::cube > '(2,0),(3,1)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(2,0,0,0,0),(3,1,0,0,1)'::cube < '(2,0),(3,1)'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+SELECT '(2,0,0,0,1),(3,1,0,0,0)'::cube > '(2,0),(3,1)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(2,0,0,0,1),(3,1,0,0,0)'::cube < '(2,0),(3,1)'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+SELECT '(2,0,0,0,0),(3,1,0,0,0)'::cube > '(2,0),(3,1)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(2,0,0,0,0),(3,1,0,0,0)'::cube < '(2,0),(3,1)'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+-- "overlap"
+--
+SELECT '1'::cube && '1'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '1'::cube && '2'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '0'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '1'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '1,1,1'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(1,1,1),(2,2,2)]'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(1,1),(2,2)]'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(2,1,1),(2,2,2)]'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+-- "contained in" (the left operand is the cube entirely enclosed by
+-- the right operand):
+--
+SELECT '0'::cube <@ '0'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '0,0,0'::cube <@ '0,0,0'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '0,0'::cube <@ '0,0,1'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '0,0,0'::cube <@ '0,0,1'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+SELECT '1,0,0'::cube <@ '0,0,1'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+SELECT '(1,0,0),(0,0,1)'::cube <@ '(1,0,0),(0,0,1)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(1,0,0),(0,0,1)'::cube <@ '(-1,-1,-1),(1,1,1)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(1,0,0),(0,0,1)'::cube <@ '(-1,-1,-1,-1),(1,1,1,1)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '0'::cube <@ '(-1),(1)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '1'::cube <@ '(-1),(1)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '-1'::cube <@ '(-1),(1)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(-1),(1)'::cube <@ '(-1),(1)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(-1),(1)'::cube <@ '(-1,-1),(1,1)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(-2),(1)'::cube <@ '(-1),(1)'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+SELECT '(-2),(1)'::cube <@ '(-1,-1),(1,1)'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+-- "contains" (the left operand is the cube that entirely encloses the
+-- right operand)
+--
+SELECT '0'::cube @> '0'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '0,0,0'::cube @> '0,0,0'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '0,0,1'::cube @> '0,0'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '0,0,1'::cube @> '0,0,0'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+SELECT '0,0,1'::cube @> '1,0,0'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+SELECT '(1,0,0),(0,0,1)'::cube @> '(1,0,0),(0,0,1)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(-1,-1,-1),(1,1,1)'::cube @> '(1,0,0),(0,0,1)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(-1,-1,-1,-1),(1,1,1,1)'::cube @> '(1,0,0),(0,0,1)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(-1),(1)'::cube @> '0'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(-1),(1)'::cube @> '1'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(-1),(1)'::cube @> '-1'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(-1),(1)'::cube @> '(-1),(1)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(-1,-1),(1,1)'::cube @> '(-1),(1)'::cube AS bool;
+ bool
+------
+ t
+(1 row)
+
+SELECT '(-1),(1)'::cube @> '(-2),(1)'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+SELECT '(-1,-1),(1,1)'::cube @> '(-2),(1)'::cube AS bool;
+ bool
+------
+ f
+(1 row)
+
+-- Test of distance function
+--
+SELECT cube_distance('(0)'::cube,'(2,2,2,2)'::cube);
+ cube_distance
+---------------
+ 4
+(1 row)
+
+SELECT cube_distance('(0)'::cube,'(.3,.4)'::cube);
+ cube_distance
+---------------
+ 0.5
+(1 row)
+
+SELECT cube_distance('(2,3,4)'::cube,'(2,3,4)'::cube);
+ cube_distance
+---------------
+ 0
+(1 row)
+
+SELECT cube_distance('(42,42,42,42)'::cube,'(137,137,137,137)'::cube);
+ cube_distance
+---------------
+ 190
+(1 row)
+
+SELECT cube_distance('(42,42,42)'::cube,'(137,137)'::cube);
+ cube_distance
+--------------------
+ 140.76221083799445
+(1 row)
+
+-- Test of cube function (text to cube)
+--
+SELECT cube('(1,1.2)'::text);
+ cube
+----------
+ (1, 1.2)
+(1 row)
+
+SELECT cube(NULL);
+ cube
+------
+
+(1 row)
+
+-- Test of cube_dim function (dimensions stored in cube)
+--
+SELECT cube_dim('(0)'::cube);
+ cube_dim
+----------
+ 1
+(1 row)
+
+SELECT cube_dim('(0,0)'::cube);
+ cube_dim
+----------
+ 2
+(1 row)
+
+SELECT cube_dim('(0,0,0)'::cube);
+ cube_dim
+----------
+ 3
+(1 row)
+
+SELECT cube_dim('(42,42,42),(42,42,42)'::cube);
+ cube_dim
+----------
+ 3
+(1 row)
+
+SELECT cube_dim('(4,8,15,16,23),(4,8,15,16,23)'::cube);
+ cube_dim
+----------
+ 5
+(1 row)
+
+-- Test of cube_ll_coord function (retrieves LL coordinate values)
+--
+SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 1);
+ cube_ll_coord
+---------------
+ -1
+(1 row)
+
+SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 2);
+ cube_ll_coord
+---------------
+ -2
+(1 row)
+
+SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 3);
+ cube_ll_coord
+---------------
+ 0
+(1 row)
+
+SELECT cube_ll_coord('(1,2),(1,2)'::cube, 1);
+ cube_ll_coord
+---------------
+ 1
+(1 row)
+
+SELECT cube_ll_coord('(1,2),(1,2)'::cube, 2);
+ cube_ll_coord
+---------------
+ 2
+(1 row)
+
+SELECT cube_ll_coord('(1,2),(1,2)'::cube, 3);
+ cube_ll_coord
+---------------
+ 0
+(1 row)
+
+SELECT cube_ll_coord('(42,137)'::cube, 1);
+ cube_ll_coord
+---------------
+ 42
+(1 row)
+
+SELECT cube_ll_coord('(42,137)'::cube, 2);
+ cube_ll_coord
+---------------
+ 137
+(1 row)
+
+SELECT cube_ll_coord('(42,137)'::cube, 3);
+ cube_ll_coord
+---------------
+ 0
+(1 row)
+
+-- Test of cube_ur_coord function (retrieves UR coordinate values)
+--
+SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 1);
+ cube_ur_coord
+---------------
+ 2
+(1 row)
+
+SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 2);
+ cube_ur_coord
+---------------
+ 1
+(1 row)
+
+SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 3);
+ cube_ur_coord
+---------------
+ 0
+(1 row)
+
+SELECT cube_ur_coord('(1,2),(1,2)'::cube, 1);
+ cube_ur_coord
+---------------
+ 1
+(1 row)
+
+SELECT cube_ur_coord('(1,2),(1,2)'::cube, 2);
+ cube_ur_coord
+---------------
+ 2
+(1 row)
+
+SELECT cube_ur_coord('(1,2),(1,2)'::cube, 3);
+ cube_ur_coord
+---------------
+ 0
+(1 row)
+
+SELECT cube_ur_coord('(42,137)'::cube, 1);
+ cube_ur_coord
+---------------
+ 42
+(1 row)
+
+SELECT cube_ur_coord('(42,137)'::cube, 2);
+ cube_ur_coord
+---------------
+ 137
+(1 row)
+
+SELECT cube_ur_coord('(42,137)'::cube, 3);
+ cube_ur_coord
+---------------
+ 0
+(1 row)
+
+-- Test of cube_is_point
+--
+SELECT cube_is_point('(0)'::cube);
+ cube_is_point
+---------------
+ t
+(1 row)
+
+SELECT cube_is_point('(0,1,2)'::cube);
+ cube_is_point
+---------------
+ t
+(1 row)
+
+SELECT cube_is_point('(0,1,2),(0,1,2)'::cube);
+ cube_is_point
+---------------
+ t
+(1 row)
+
+SELECT cube_is_point('(0,1,2),(-1,1,2)'::cube);
+ cube_is_point
+---------------
+ f
+(1 row)
+
+SELECT cube_is_point('(0,1,2),(0,-1,2)'::cube);
+ cube_is_point
+---------------
+ f
+(1 row)
+
+SELECT cube_is_point('(0,1,2),(0,1,-2)'::cube);
+ cube_is_point
+---------------
+ f
+(1 row)
+
+-- Test of cube_enlarge (enlarging and shrinking cubes)
+--
+SELECT cube_enlarge('(0)'::cube, 0, 0);
+ cube_enlarge
+--------------
+ (0)
+(1 row)
+
+SELECT cube_enlarge('(0)'::cube, 0, 1);
+ cube_enlarge
+--------------
+ (0)
+(1 row)
+
+SELECT cube_enlarge('(0)'::cube, 0, 2);
+ cube_enlarge
+--------------
+ (0)
+(1 row)
+
+SELECT cube_enlarge('(2),(-2)'::cube, 0, 4);
+ cube_enlarge
+--------------
+ (-2),(2)
+(1 row)
+
+SELECT cube_enlarge('(0)'::cube, 1, 0);
+ cube_enlarge
+--------------
+ (-1),(1)
+(1 row)
+
+SELECT cube_enlarge('(0)'::cube, 1, 1);
+ cube_enlarge
+--------------
+ (-1),(1)
+(1 row)
+
+SELECT cube_enlarge('(0)'::cube, 1, 2);
+ cube_enlarge
+-----------------
+ (-1, -1),(1, 1)
+(1 row)
+
+SELECT cube_enlarge('(2),(-2)'::cube, 1, 4);
+ cube_enlarge
+-------------------------------
+ (-3, -1, -1, -1),(3, 1, 1, 1)
+(1 row)
+
+SELECT cube_enlarge('(0)'::cube, -1, 0);
+ cube_enlarge
+--------------
+ (0)
+(1 row)
+
+SELECT cube_enlarge('(0)'::cube, -1, 1);
+ cube_enlarge
+--------------
+ (0)
+(1 row)
+
+SELECT cube_enlarge('(0)'::cube, -1, 2);
+ cube_enlarge
+--------------
+ (0)
+(1 row)
+
+SELECT cube_enlarge('(2),(-2)'::cube, -1, 4);
+ cube_enlarge
+--------------
+ (-1),(1)
+(1 row)
+
+SELECT cube_enlarge('(0,0,0)'::cube, 1, 0);
+ cube_enlarge
+------------------------
+ (-1, -1, -1),(1, 1, 1)
+(1 row)
+
+SELECT cube_enlarge('(0,0,0)'::cube, 1, 2);
+ cube_enlarge
+------------------------
+ (-1, -1, -1),(1, 1, 1)
+(1 row)
+
+SELECT cube_enlarge('(2,-2),(-3,7)'::cube, 1, 2);
+ cube_enlarge
+-----------------
+ (-4, -3),(3, 8)
+(1 row)
+
+SELECT cube_enlarge('(2,-2),(-3,7)'::cube, 3, 2);
+ cube_enlarge
+------------------
+ (-6, -5),(5, 10)
+(1 row)
+
+SELECT cube_enlarge('(2,-2),(-3,7)'::cube, -1, 2);
+ cube_enlarge
+-----------------
+ (-2, -1),(1, 6)
+(1 row)
+
+SELECT cube_enlarge('(2,-2),(-3,7)'::cube, -3, 2);
+ cube_enlarge
+---------------------
+ (-0.5, 1),(-0.5, 4)
+(1 row)
+
+SELECT cube_enlarge('(42,-23,-23),(42,23,23)'::cube, -23, 5);
+ cube_enlarge
+--------------
+ (42, 0, 0)
+(1 row)
+
+SELECT cube_enlarge('(42,-23,-23),(42,23,23)'::cube, -24, 5);
+ cube_enlarge
+--------------
+ (42, 0, 0)
+(1 row)
+
+-- Test of cube_union (MBR for two cubes)
+--
+SELECT cube_union('(1,2),(3,4)'::cube, '(5,6,7),(8,9,10)'::cube);
+ cube_union
+----------------------
+ (1, 2, 0),(8, 9, 10)
+(1 row)
+
+SELECT cube_union('(1,2)'::cube, '(4,2,0,0)'::cube);
+ cube_union
+---------------------------
+ (1, 2, 0, 0),(4, 2, 0, 0)
+(1 row)
+
+SELECT cube_union('(1,2),(1,2)'::cube, '(4,2),(4,2)'::cube);
+ cube_union
+---------------
+ (1, 2),(4, 2)
+(1 row)
+
+SELECT cube_union('(1,2),(1,2)'::cube, '(1,2),(1,2)'::cube);
+ cube_union
+------------
+ (1, 2)
+(1 row)
+
+SELECT cube_union('(1,2),(1,2)'::cube, '(1,2,0),(1,2,0)'::cube);
+ cube_union
+------------
+ (1, 2, 0)
+(1 row)
+
+-- Test of cube_inter
+--
+SELECT cube_inter('(1,2),(10,11)'::cube, '(3,4), (16,15)'::cube); -- intersects
+ cube_inter
+-----------------
+ (3, 4),(10, 11)
+(1 row)
+
+SELECT cube_inter('(1,2),(10,11)'::cube, '(3,4), (6,5)'::cube); -- includes
+ cube_inter
+---------------
+ (3, 4),(6, 5)
+(1 row)
+
+SELECT cube_inter('(1,2),(10,11)'::cube, '(13,14), (16,15)'::cube); -- no intersection
+ cube_inter
+-------------------
+ (13, 14),(10, 11)
+(1 row)
+
+SELECT cube_inter('(1,2),(10,11)'::cube, '(3,14), (16,15)'::cube); -- no intersection, but one dimension intersects
+ cube_inter
+------------------
+ (3, 14),(10, 11)
+(1 row)
+
+SELECT cube_inter('(1,2),(10,11)'::cube, '(10,11), (16,15)'::cube); -- point intersection
+ cube_inter
+------------
+ (10, 11)
+(1 row)
+
+SELECT cube_inter('(1,2,3)'::cube, '(1,2,3)'::cube); -- point args
+ cube_inter
+------------
+ (1, 2, 3)
+(1 row)
+
+SELECT cube_inter('(1,2,3)'::cube, '(5,6,3)'::cube); -- point args
+ cube_inter
+---------------------
+ (5, 6, 3),(1, 2, 3)
+(1 row)
+
+-- Test of cube_size
+--
+SELECT cube_size('(4,8),(15,16)'::cube);
+ cube_size
+-----------
+ 88
+(1 row)
+
+SELECT cube_size('(42,137)'::cube);
+ cube_size
+-----------
+ 0
+(1 row)
+
+-- Test of distances (euclidean distance may not be bit-exact)
+--
+SET extra_float_digits = 0;
+SELECT cube_distance('(1,1)'::cube, '(4,5)'::cube);
+ cube_distance
+---------------
+ 5
+(1 row)
+
+SELECT '(1,1)'::cube <-> '(4,5)'::cube as d_e;
+ d_e
+-----
+ 5
+(1 row)
+
+RESET extra_float_digits;
+SELECT distance_chebyshev('(1,1)'::cube, '(4,5)'::cube);
+ distance_chebyshev
+--------------------
+ 4
+(1 row)
+
+SELECT '(1,1)'::cube <=> '(4,5)'::cube as d_c;
+ d_c
+-----
+ 4
+(1 row)
+
+SELECT distance_taxicab('(1,1)'::cube, '(4,5)'::cube);
+ distance_taxicab
+------------------
+ 7
+(1 row)
+
+SELECT '(1,1)'::cube <#> '(4,5)'::cube as d_t;
+ d_t
+-----
+ 7
+(1 row)
+
+-- zero for overlapping
+SELECT cube_distance('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
+ cube_distance
+---------------
+ 0
+(1 row)
+
+SELECT distance_chebyshev('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
+ distance_chebyshev
+--------------------
+ 0
+(1 row)
+
+SELECT distance_taxicab('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
+ distance_taxicab
+------------------
+ 0
+(1 row)
+
+-- coordinate access
+SELECT cube(array[10,20,30], array[40,50,60])->1;
+ ?column?
+----------
+ 10
+(1 row)
+
+SELECT cube(array[40,50,60], array[10,20,30])->1;
+ ?column?
+----------
+ 40
+(1 row)
+
+SELECT cube(array[10,20,30], array[40,50,60])->6;
+ ?column?
+----------
+ 60
+(1 row)
+
+SELECT cube(array[10,20,30], array[40,50,60])->0;
+ERROR: cube index 0 is out of bounds
+SELECT cube(array[10,20,30], array[40,50,60])->7;
+ERROR: cube index 7 is out of bounds
+SELECT cube(array[10,20,30], array[40,50,60])->-1;
+ERROR: cube index -1 is out of bounds
+SELECT cube(array[10,20,30], array[40,50,60])->-6;
+ERROR: cube index -6 is out of bounds
+SELECT cube(array[10,20,30])->3;
+ ?column?
+----------
+ 30
+(1 row)
+
+SELECT cube(array[10,20,30])->6;
+ ?column?
+----------
+ 30
+(1 row)
+
+SELECT cube(array[10,20,30])->-6;
+ERROR: cube index -6 is out of bounds
+-- "normalized" coordinate access
+SELECT cube(array[10,20,30], array[40,50,60])~>1;
+ ?column?
+----------
+ 10
+(1 row)
+
+SELECT cube(array[40,50,60], array[10,20,30])~>1;
+ ?column?
+----------
+ 10
+(1 row)
+
+SELECT cube(array[10,20,30], array[40,50,60])~>2;
+ ?column?
+----------
+ 40
+(1 row)
+
+SELECT cube(array[40,50,60], array[10,20,30])~>2;
+ ?column?
+----------
+ 40
+(1 row)
+
+SELECT cube(array[10,20,30], array[40,50,60])~>3;
+ ?column?
+----------
+ 20
+(1 row)
+
+SELECT cube(array[40,50,60], array[10,20,30])~>3;
+ ?column?
+----------
+ 20
+(1 row)
+
+SELECT cube(array[40,50,60], array[10,20,30])~>0;
+ERROR: zero cube index is not defined
+SELECT cube(array[40,50,60], array[10,20,30])~>4;
+ ?column?
+----------
+ 50
+(1 row)
+
+SELECT cube(array[40,50,60], array[10,20,30])~>(-1);
+ ?column?
+----------
+ -10
+(1 row)
+
+-- Load some example data and build the index
+--
+CREATE TABLE test_cube (c cube);
+\copy test_cube from 'data/test_cube.data'
+CREATE INDEX test_cube_ix ON test_cube USING gist (c);
+SELECT * FROM test_cube WHERE c && '(3000,1000),(0,0)' ORDER BY c;
+ c
+--------------------------
+ (337, 455),(240, 359)
+ (759, 187),(662, 163)
+ (1444, 403),(1346, 344)
+ (1594, 1043),(1517, 971)
+ (2424, 160),(2424, 81)
+(5 rows)
+
+-- Test sorting
+SELECT * FROM test_cube WHERE c && '(3000,1000),(0,0)' GROUP BY c ORDER BY c;
+ c
+--------------------------
+ (337, 455),(240, 359)
+ (759, 187),(662, 163)
+ (1444, 403),(1346, 344)
+ (1594, 1043),(1517, 971)
+ (2424, 160),(2424, 81)
+(5 rows)
+
+-- Test index-only scans
+SET enable_bitmapscan = false;
+EXPLAIN (COSTS OFF)
+SELECT c FROM test_cube WHERE c <@ '(3000,1000),(0,0)' ORDER BY c;
+ QUERY PLAN
+--------------------------------------------------------
+ Sort
+ Sort Key: c
+ -> Index Only Scan using test_cube_ix on test_cube
+ Index Cond: (c <@ '(3000, 1000),(0, 0)'::cube)
+(4 rows)
+
+SELECT c FROM test_cube WHERE c <@ '(3000,1000),(0,0)' ORDER BY c;
+ c
+-------------------------
+ (337, 455),(240, 359)
+ (759, 187),(662, 163)
+ (1444, 403),(1346, 344)
+ (2424, 160),(2424, 81)
+(4 rows)
+
+RESET enable_bitmapscan;
+-- Test kNN
+INSERT INTO test_cube VALUES ('(1,1)'), ('(100000)'), ('(0, 100000)'); -- Some corner cases
+SET enable_seqscan = false;
+-- Test different metrics
+SET extra_float_digits = 0;
+SELECT *, c <-> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <-> '(100, 100),(500, 500)'::cube LIMIT 5;
+ c | dist
+-------------------------+------------------
+ (337, 455),(240, 359) | 0
+ (1, 1) | 140.007142674936
+ (759, 187),(662, 163) | 162
+ (948, 1201),(907, 1156) | 772.000647668122
+ (1444, 403),(1346, 344) | 846
+(5 rows)
+
+RESET extra_float_digits;
+SELECT *, c <=> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <=> '(100, 100),(500, 500)'::cube LIMIT 5;
+ c | dist
+-------------------------+------
+ (337, 455),(240, 359) | 0
+ (1, 1) | 99
+ (759, 187),(662, 163) | 162
+ (948, 1201),(907, 1156) | 656
+ (1444, 403),(1346, 344) | 846
+(5 rows)
+
+SELECT *, c <#> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <#> '(100, 100),(500, 500)'::cube LIMIT 5;
+ c | dist
+-------------------------+------
+ (337, 455),(240, 359) | 0
+ (759, 187),(662, 163) | 162
+ (1, 1) | 198
+ (1444, 403),(1346, 344) | 846
+ (369, 1457),(278, 1409) | 909
+(5 rows)
+
+-- Test sorting by coordinates
+SELECT c~>1, c FROM test_cube ORDER BY c~>1 LIMIT 15; -- ascending by left bound
+ ?column? | c
+----------+---------------------------
+ 0 | (0, 100000)
+ 1 | (1, 1)
+ 3 | (54, 38679),(3, 38602)
+ 15 | (83, 10271),(15, 10265)
+ 64 | (122, 46832),(64, 46762)
+ 92 | (167, 17214),(92, 17184)
+ 107 | (161, 24465),(107, 24374)
+ 120 | (162, 26040),(120, 25963)
+ 138 | (154, 4019),(138, 3990)
+ 175 | (259, 1850),(175, 1820)
+ 179 | (207, 40886),(179, 40879)
+ 204 | (288, 49588),(204, 49571)
+ 226 | (270, 32616),(226, 32607)
+ 235 | (318, 31489),(235, 31404)
+ 240 | (337, 455),(240, 359)
+(15 rows)
+
+SELECT c~>2, c FROM test_cube ORDER BY c~>2 LIMIT 15; -- ascending by right bound
+ ?column? | c
+----------+---------------------------
+ 0 | (0, 100000)
+ 1 | (1, 1)
+ 54 | (54, 38679),(3, 38602)
+ 83 | (83, 10271),(15, 10265)
+ 122 | (122, 46832),(64, 46762)
+ 154 | (154, 4019),(138, 3990)
+ 161 | (161, 24465),(107, 24374)
+ 162 | (162, 26040),(120, 25963)
+ 167 | (167, 17214),(92, 17184)
+ 207 | (207, 40886),(179, 40879)
+ 259 | (259, 1850),(175, 1820)
+ 270 | (270, 29508),(264, 29440)
+ 270 | (270, 32616),(226, 32607)
+ 288 | (288, 49588),(204, 49571)
+ 318 | (318, 31489),(235, 31404)
+(15 rows)
+
+SELECT c~>3, c FROM test_cube ORDER BY c~>3 LIMIT 15; -- ascending by lower bound
+ ?column? | c
+----------+---------------------------
+ 0 | (100000)
+ 1 | (1, 1)
+ 6 | (30333, 50),(30273, 6)
+ 43 | (43301, 75),(43227, 43)
+ 51 | (19650, 142),(19630, 51)
+ 81 | (2424, 160),(2424, 81)
+ 108 | (3449, 171),(3354, 108)
+ 109 | (18037, 155),(17941, 109)
+ 114 | (28511, 208),(28479, 114)
+ 118 | (19946, 217),(19941, 118)
+ 139 | (16906, 191),(16816, 139)
+ 163 | (759, 187),(662, 163)
+ 181 | (22684, 266),(22656, 181)
+ 213 | (24423, 255),(24360, 213)
+ 222 | (45989, 249),(45910, 222)
+(15 rows)
+
+SELECT c~>4, c FROM test_cube ORDER BY c~>4 LIMIT 15; -- ascending by upper bound
+ ?column? | c
+----------+---------------------------
+ 0 | (100000)
+ 1 | (1, 1)
+ 50 | (30333, 50),(30273, 6)
+ 75 | (43301, 75),(43227, 43)
+ 142 | (19650, 142),(19630, 51)
+ 155 | (18037, 155),(17941, 109)
+ 160 | (2424, 160),(2424, 81)
+ 171 | (3449, 171),(3354, 108)
+ 187 | (759, 187),(662, 163)
+ 191 | (16906, 191),(16816, 139)
+ 208 | (28511, 208),(28479, 114)
+ 217 | (19946, 217),(19941, 118)
+ 249 | (45989, 249),(45910, 222)
+ 255 | (24423, 255),(24360, 213)
+ 266 | (22684, 266),(22656, 181)
+(15 rows)
+
+SELECT c~>(-1), c FROM test_cube ORDER BY c~>(-1) LIMIT 15; -- descending by left bound
+ ?column? | c
+----------+-------------------------------
+ -100000 | (100000)
+ -49951 | (50027, 49230),(49951, 49214)
+ -49937 | (49980, 35004),(49937, 34963)
+ -49927 | (49985, 6436),(49927, 6338)
+ -49908 | (49999, 27218),(49908, 27176)
+ -49905 | (49954, 1340),(49905, 1294)
+ -49902 | (49944, 25163),(49902, 25153)
+ -49898 | (49981, 34876),(49898, 34786)
+ -49897 | (49957, 43390),(49897, 43384)
+ -49848 | (49853, 18504),(49848, 18503)
+ -49818 | (49902, 41752),(49818, 41746)
+ -49810 | (49907, 30225),(49810, 30158)
+ -49808 | (49843, 5175),(49808, 5145)
+ -49805 | (49887, 24274),(49805, 24184)
+ -49798 | (49847, 7128),(49798, 7067)
+(15 rows)
+
+SELECT c~>(-2), c FROM test_cube ORDER BY c~>(-2) LIMIT 15; -- descending by right bound
+ ?column? | c
+----------+-------------------------------
+ -100000 | (100000)
+ -50027 | (50027, 49230),(49951, 49214)
+ -49999 | (49999, 27218),(49908, 27176)
+ -49985 | (49985, 6436),(49927, 6338)
+ -49981 | (49981, 34876),(49898, 34786)
+ -49980 | (49980, 35004),(49937, 34963)
+ -49957 | (49957, 43390),(49897, 43384)
+ -49954 | (49954, 1340),(49905, 1294)
+ -49944 | (49944, 25163),(49902, 25153)
+ -49907 | (49907, 30225),(49810, 30158)
+ -49902 | (49902, 41752),(49818, 41746)
+ -49887 | (49887, 24274),(49805, 24184)
+ -49853 | (49853, 18504),(49848, 18503)
+ -49847 | (49847, 7128),(49798, 7067)
+ -49843 | (49843, 5175),(49808, 5145)
+(15 rows)
+
+SELECT c~>(-3), c FROM test_cube ORDER BY c~>(-3) LIMIT 15; -- descending by lower bound
+ ?column? | c
+----------+-------------------------------
+ -100000 | (0, 100000)
+ -49992 | (30746, 50040),(30727, 49992)
+ -49987 | (36311, 50073),(36258, 49987)
+ -49934 | (3531, 49962),(3463, 49934)
+ -49915 | (17954, 49975),(17865, 49915)
+ -49914 | (2168, 50012),(2108, 49914)
+ -49913 | (31287, 49923),(31236, 49913)
+ -49885 | (21551, 49983),(21492, 49885)
+ -49878 | (43925, 49912),(43888, 49878)
+ -49849 | (19128, 49932),(19112, 49849)
+ -49844 | (38266, 49852),(38233, 49844)
+ -49836 | (14913, 49873),(14849, 49836)
+ -49834 | (37595, 49849),(37581, 49834)
+ -49830 | (46151, 49848),(46058, 49830)
+ -49818 | (29261, 49910),(29247, 49818)
+(15 rows)
+
+SELECT c~>(-4), c FROM test_cube ORDER BY c~>(-4) LIMIT 15; -- descending by upper bound
+ ?column? | c
+----------+-------------------------------
+ -100000 | (0, 100000)
+ -50073 | (36311, 50073),(36258, 49987)
+ -50040 | (30746, 50040),(30727, 49992)
+ -50012 | (2168, 50012),(2108, 49914)
+ -49983 | (21551, 49983),(21492, 49885)
+ -49975 | (17954, 49975),(17865, 49915)
+ -49962 | (3531, 49962),(3463, 49934)
+ -49932 | (19128, 49932),(19112, 49849)
+ -49923 | (31287, 49923),(31236, 49913)
+ -49912 | (43925, 49912),(43888, 49878)
+ -49910 | (29261, 49910),(29247, 49818)
+ -49873 | (14913, 49873),(14849, 49836)
+ -49858 | (20007, 49858),(19921, 49778)
+ -49852 | (38266, 49852),(38233, 49844)
+ -49849 | (37595, 49849),(37581, 49834)
+(15 rows)
+
+-- Same queries with sequential scan (should give the same results as above)
+RESET enable_seqscan;
+SET enable_indexscan = OFF;
+SET extra_float_digits = 0;
+SELECT *, c <-> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <-> '(100, 100),(500, 500)'::cube LIMIT 5;
+ c | dist
+-------------------------+------------------
+ (337, 455),(240, 359) | 0
+ (1, 1) | 140.007142674936
+ (759, 187),(662, 163) | 162
+ (948, 1201),(907, 1156) | 772.000647668122
+ (1444, 403),(1346, 344) | 846
+(5 rows)
+
+RESET extra_float_digits;
+SELECT *, c <=> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <=> '(100, 100),(500, 500)'::cube LIMIT 5;
+ c | dist
+-------------------------+------
+ (337, 455),(240, 359) | 0
+ (1, 1) | 99
+ (759, 187),(662, 163) | 162
+ (948, 1201),(907, 1156) | 656
+ (1444, 403),(1346, 344) | 846
+(5 rows)
+
+SELECT *, c <#> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <#> '(100, 100),(500, 500)'::cube LIMIT 5;
+ c | dist
+-------------------------+------
+ (337, 455),(240, 359) | 0
+ (759, 187),(662, 163) | 162
+ (1, 1) | 198
+ (1444, 403),(1346, 344) | 846
+ (369, 1457),(278, 1409) | 909
+(5 rows)
+
+SELECT c~>1, c FROM test_cube ORDER BY c~>1 LIMIT 15; -- ascending by left bound
+ ?column? | c
+----------+---------------------------
+ 0 | (0, 100000)
+ 1 | (1, 1)
+ 3 | (54, 38679),(3, 38602)
+ 15 | (83, 10271),(15, 10265)
+ 64 | (122, 46832),(64, 46762)
+ 92 | (167, 17214),(92, 17184)
+ 107 | (161, 24465),(107, 24374)
+ 120 | (162, 26040),(120, 25963)
+ 138 | (154, 4019),(138, 3990)
+ 175 | (259, 1850),(175, 1820)
+ 179 | (207, 40886),(179, 40879)
+ 204 | (288, 49588),(204, 49571)
+ 226 | (270, 32616),(226, 32607)
+ 235 | (318, 31489),(235, 31404)
+ 240 | (337, 455),(240, 359)
+(15 rows)
+
+SELECT c~>2, c FROM test_cube ORDER BY c~>2 LIMIT 15; -- ascending by right bound
+ ?column? | c
+----------+---------------------------
+ 0 | (0, 100000)
+ 1 | (1, 1)
+ 54 | (54, 38679),(3, 38602)
+ 83 | (83, 10271),(15, 10265)
+ 122 | (122, 46832),(64, 46762)
+ 154 | (154, 4019),(138, 3990)
+ 161 | (161, 24465),(107, 24374)
+ 162 | (162, 26040),(120, 25963)
+ 167 | (167, 17214),(92, 17184)
+ 207 | (207, 40886),(179, 40879)
+ 259 | (259, 1850),(175, 1820)
+ 270 | (270, 29508),(264, 29440)
+ 270 | (270, 32616),(226, 32607)
+ 288 | (288, 49588),(204, 49571)
+ 318 | (318, 31489),(235, 31404)
+(15 rows)
+
+SELECT c~>3, c FROM test_cube ORDER BY c~>3 LIMIT 15; -- ascending by lower bound
+ ?column? | c
+----------+---------------------------
+ 0 | (100000)
+ 1 | (1, 1)
+ 6 | (30333, 50),(30273, 6)
+ 43 | (43301, 75),(43227, 43)
+ 51 | (19650, 142),(19630, 51)
+ 81 | (2424, 160),(2424, 81)
+ 108 | (3449, 171),(3354, 108)
+ 109 | (18037, 155),(17941, 109)
+ 114 | (28511, 208),(28479, 114)
+ 118 | (19946, 217),(19941, 118)
+ 139 | (16906, 191),(16816, 139)
+ 163 | (759, 187),(662, 163)
+ 181 | (22684, 266),(22656, 181)
+ 213 | (24423, 255),(24360, 213)
+ 222 | (45989, 249),(45910, 222)
+(15 rows)
+
+SELECT c~>4, c FROM test_cube ORDER BY c~>4 LIMIT 15; -- ascending by upper bound
+ ?column? | c
+----------+---------------------------
+ 0 | (100000)
+ 1 | (1, 1)
+ 50 | (30333, 50),(30273, 6)
+ 75 | (43301, 75),(43227, 43)
+ 142 | (19650, 142),(19630, 51)
+ 155 | (18037, 155),(17941, 109)
+ 160 | (2424, 160),(2424, 81)
+ 171 | (3449, 171),(3354, 108)
+ 187 | (759, 187),(662, 163)
+ 191 | (16906, 191),(16816, 139)
+ 208 | (28511, 208),(28479, 114)
+ 217 | (19946, 217),(19941, 118)
+ 249 | (45989, 249),(45910, 222)
+ 255 | (24423, 255),(24360, 213)
+ 266 | (22684, 266),(22656, 181)
+(15 rows)
+
+SELECT c~>(-1), c FROM test_cube ORDER BY c~>(-1) LIMIT 15; -- descending by left bound
+ ?column? | c
+----------+-------------------------------
+ -100000 | (100000)
+ -49951 | (50027, 49230),(49951, 49214)
+ -49937 | (49980, 35004),(49937, 34963)
+ -49927 | (49985, 6436),(49927, 6338)
+ -49908 | (49999, 27218),(49908, 27176)
+ -49905 | (49954, 1340),(49905, 1294)
+ -49902 | (49944, 25163),(49902, 25153)
+ -49898 | (49981, 34876),(49898, 34786)
+ -49897 | (49957, 43390),(49897, 43384)
+ -49848 | (49853, 18504),(49848, 18503)
+ -49818 | (49902, 41752),(49818, 41746)
+ -49810 | (49907, 30225),(49810, 30158)
+ -49808 | (49843, 5175),(49808, 5145)
+ -49805 | (49887, 24274),(49805, 24184)
+ -49798 | (49847, 7128),(49798, 7067)
+(15 rows)
+
+SELECT c~>(-2), c FROM test_cube ORDER BY c~>(-2) LIMIT 15; -- descending by right bound
+ ?column? | c
+----------+-------------------------------
+ -100000 | (100000)
+ -50027 | (50027, 49230),(49951, 49214)
+ -49999 | (49999, 27218),(49908, 27176)
+ -49985 | (49985, 6436),(49927, 6338)
+ -49981 | (49981, 34876),(49898, 34786)
+ -49980 | (49980, 35004),(49937, 34963)
+ -49957 | (49957, 43390),(49897, 43384)
+ -49954 | (49954, 1340),(49905, 1294)
+ -49944 | (49944, 25163),(49902, 25153)
+ -49907 | (49907, 30225),(49810, 30158)
+ -49902 | (49902, 41752),(49818, 41746)
+ -49887 | (49887, 24274),(49805, 24184)
+ -49853 | (49853, 18504),(49848, 18503)
+ -49847 | (49847, 7128),(49798, 7067)
+ -49843 | (49843, 5175),(49808, 5145)
+(15 rows)
+
+SELECT c~>(-3), c FROM test_cube ORDER BY c~>(-3) LIMIT 15; -- descending by lower bound
+ ?column? | c
+----------+-------------------------------
+ -100000 | (0, 100000)
+ -49992 | (30746, 50040),(30727, 49992)
+ -49987 | (36311, 50073),(36258, 49987)
+ -49934 | (3531, 49962),(3463, 49934)
+ -49915 | (17954, 49975),(17865, 49915)
+ -49914 | (2168, 50012),(2108, 49914)
+ -49913 | (31287, 49923),(31236, 49913)
+ -49885 | (21551, 49983),(21492, 49885)
+ -49878 | (43925, 49912),(43888, 49878)
+ -49849 | (19128, 49932),(19112, 49849)
+ -49844 | (38266, 49852),(38233, 49844)
+ -49836 | (14913, 49873),(14849, 49836)
+ -49834 | (37595, 49849),(37581, 49834)
+ -49830 | (46151, 49848),(46058, 49830)
+ -49818 | (29261, 49910),(29247, 49818)
+(15 rows)
+
+SELECT c~>(-4), c FROM test_cube ORDER BY c~>(-4) LIMIT 15; -- descending by upper bound
+ ?column? | c
+----------+-------------------------------
+ -100000 | (0, 100000)
+ -50073 | (36311, 50073),(36258, 49987)
+ -50040 | (30746, 50040),(30727, 49992)
+ -50012 | (2168, 50012),(2108, 49914)
+ -49983 | (21551, 49983),(21492, 49885)
+ -49975 | (17954, 49975),(17865, 49915)
+ -49962 | (3531, 49962),(3463, 49934)
+ -49932 | (19128, 49932),(19112, 49849)
+ -49923 | (31287, 49923),(31236, 49913)
+ -49912 | (43925, 49912),(43888, 49878)
+ -49910 | (29261, 49910),(29247, 49818)
+ -49873 | (14913, 49873),(14849, 49836)
+ -49858 | (20007, 49858),(19921, 49778)
+ -49852 | (38266, 49852),(38233, 49844)
+ -49849 | (37595, 49849),(37581, 49834)
+(15 rows)
+
+RESET enable_indexscan;
diff --git a/contrib/cube/expected/cube_sci.out b/contrib/cube/expected/cube_sci.out
new file mode 100644
index 0000000..488499a
--- /dev/null
+++ b/contrib/cube/expected/cube_sci.out
@@ -0,0 +1,106 @@
+---
+--- Testing cube output in scientific notation. This was put into separate
+--- test, because has platform-depending output.
+---
+SELECT '1e27'::cube AS cube;
+ cube
+---------
+ (1e+27)
+(1 row)
+
+SELECT '-1e27'::cube AS cube;
+ cube
+----------
+ (-1e+27)
+(1 row)
+
+SELECT '1.0e27'::cube AS cube;
+ cube
+---------
+ (1e+27)
+(1 row)
+
+SELECT '-1.0e27'::cube AS cube;
+ cube
+----------
+ (-1e+27)
+(1 row)
+
+SELECT '1e+27'::cube AS cube;
+ cube
+---------
+ (1e+27)
+(1 row)
+
+SELECT '-1e+27'::cube AS cube;
+ cube
+----------
+ (-1e+27)
+(1 row)
+
+SELECT '1.0e+27'::cube AS cube;
+ cube
+---------
+ (1e+27)
+(1 row)
+
+SELECT '-1.0e+27'::cube AS cube;
+ cube
+----------
+ (-1e+27)
+(1 row)
+
+SELECT '1e-7'::cube AS cube;
+ cube
+---------
+ (1e-07)
+(1 row)
+
+SELECT '-1e-7'::cube AS cube;
+ cube
+----------
+ (-1e-07)
+(1 row)
+
+SELECT '1.0e-7'::cube AS cube;
+ cube
+---------
+ (1e-07)
+(1 row)
+
+SELECT '-1.0e-7'::cube AS cube;
+ cube
+----------
+ (-1e-07)
+(1 row)
+
+SELECT '1e-300'::cube AS cube;
+ cube
+----------
+ (1e-300)
+(1 row)
+
+SELECT '-1e-300'::cube AS cube;
+ cube
+-----------
+ (-1e-300)
+(1 row)
+
+SELECT '1234567890123456'::cube AS cube;
+ cube
+-------------------------
+ (1.234567890123456e+15)
+(1 row)
+
+SELECT '+1234567890123456'::cube AS cube;
+ cube
+-------------------------
+ (1.234567890123456e+15)
+(1 row)
+
+SELECT '-1234567890123456'::cube AS cube;
+ cube
+--------------------------
+ (-1.234567890123456e+15)
+(1 row)
+
diff --git a/contrib/cube/sql/cube.sql b/contrib/cube/sql/cube.sql
new file mode 100644
index 0000000..7f8b2e3
--- /dev/null
+++ b/contrib/cube/sql/cube.sql
@@ -0,0 +1,432 @@
+--
+-- Test cube datatype
+--
+
+CREATE EXTENSION cube;
+
+-- Check whether any of our opclasses fail amvalidate
+SELECT amname, opcname
+FROM pg_opclass opc LEFT JOIN pg_am am ON am.oid = opcmethod
+WHERE opc.oid >= 16384 AND NOT amvalidate(opc.oid);
+
+--
+-- testing the input and output functions
+--
+
+-- Any number (a one-dimensional point)
+SELECT '1'::cube AS cube;
+SELECT '-1'::cube AS cube;
+SELECT '1.'::cube AS cube;
+SELECT '-1.'::cube AS cube;
+SELECT '.1'::cube AS cube;
+SELECT '-.1'::cube AS cube;
+SELECT '1.0'::cube AS cube;
+SELECT '-1.0'::cube AS cube;
+SELECT 'infinity'::cube AS cube;
+SELECT '-infinity'::cube AS cube;
+SELECT 'NaN'::cube AS cube;
+SELECT '.1234567890123456'::cube AS cube;
+SELECT '+.1234567890123456'::cube AS cube;
+SELECT '-.1234567890123456'::cube AS cube;
+
+-- simple lists (points)
+SELECT '()'::cube AS cube;
+SELECT '1,2'::cube AS cube;
+SELECT '(1,2)'::cube AS cube;
+SELECT '1,2,3,4,5'::cube AS cube;
+SELECT '(1,2,3,4,5)'::cube AS cube;
+
+-- double lists (cubes)
+SELECT '(),()'::cube AS cube;
+SELECT '(0),(0)'::cube AS cube;
+SELECT '(0),(1)'::cube AS cube;
+SELECT '[(0),(0)]'::cube AS cube;
+SELECT '[(0),(1)]'::cube AS cube;
+SELECT '(0,0,0,0),(0,0,0,0)'::cube AS cube;
+SELECT '(0,0,0,0),(1,0,0,0)'::cube AS cube;
+SELECT '[(0,0,0,0),(0,0,0,0)]'::cube AS cube;
+SELECT '[(0,0,0,0),(1,0,0,0)]'::cube AS cube;
+
+-- invalid input: parse errors
+SELECT ''::cube AS cube;
+SELECT 'ABC'::cube AS cube;
+SELECT '[]'::cube AS cube;
+SELECT '[()]'::cube AS cube;
+SELECT '[(1)]'::cube AS cube;
+SELECT '[(1),]'::cube AS cube;
+SELECT '[(1),2]'::cube AS cube;
+SELECT '[(1),(2),(3)]'::cube AS cube;
+SELECT '1,'::cube AS cube;
+SELECT '1,2,'::cube AS cube;
+SELECT '1,,2'::cube AS cube;
+SELECT '(1,)'::cube AS cube;
+SELECT '(1,2,)'::cube AS cube;
+SELECT '(1,,2)'::cube AS cube;
+
+-- invalid input: semantic errors and trailing garbage
+SELECT '[(1),(2)],'::cube AS cube; -- 0
+SELECT '[(1,2,3),(2,3)]'::cube AS cube; -- 1
+SELECT '[(1,2),(1,2,3)]'::cube AS cube; -- 1
+SELECT '(1),(2),'::cube AS cube; -- 2
+SELECT '(1,2,3),(2,3)'::cube AS cube; -- 3
+SELECT '(1,2),(1,2,3)'::cube AS cube; -- 3
+SELECT '(1,2,3)ab'::cube AS cube; -- 4
+SELECT '(1,2,3)a'::cube AS cube; -- 5
+SELECT '(1,2)('::cube AS cube; -- 5
+SELECT '1,2ab'::cube AS cube; -- 6
+SELECT '1 e7'::cube AS cube; -- 6
+SELECT '1,2a'::cube AS cube; -- 7
+SELECT '1..2'::cube AS cube; -- 7
+SELECT '-1e-700'::cube AS cube; -- out of range
+
+--
+-- Testing building cubes from float8 values
+--
+
+SELECT cube(0::float8);
+SELECT cube(1::float8);
+SELECT cube(1,2);
+SELECT cube(cube(1,2),3);
+SELECT cube(cube(1,2),3,4);
+SELECT cube(cube(cube(1,2),3,4),5);
+SELECT cube(cube(cube(1,2),3,4),5,6);
+
+--
+-- Test that the text -> cube cast was installed.
+--
+
+SELECT '(0)'::text::cube;
+
+--
+-- Test the float[] -> cube cast
+--
+SELECT cube('{0,1,2}'::float[], '{3,4,5}'::float[]);
+SELECT cube('{0,1,2}'::float[], '{3}'::float[]);
+SELECT cube(NULL::float[], '{3}'::float[]);
+SELECT cube('{0,1,2}'::float[]);
+SELECT cube_subset(cube('(1,3,5),(6,7,8)'), ARRAY[3,2,1,1]);
+SELECT cube_subset(cube('(1,3,5),(1,3,5)'), ARRAY[3,2,1,1]);
+SELECT cube_subset(cube('(1,3,5),(6,7,8)'), ARRAY[4,0]);
+SELECT cube_subset(cube('(6,7,8),(6,7,8)'), ARRAY[4,0]);
+-- test for limits: this should pass
+SELECT cube_subset(cube('(6,7,8),(6,7,8)'), array(SELECT 1 as a FROM generate_series(1,100)));
+-- and this should fail
+SELECT cube_subset(cube('(6,7,8),(6,7,8)'), array(SELECT 1 as a FROM generate_series(1,101)));
+
+
+
+--
+-- Test point processing
+--
+SELECT cube('(1,2),(1,2)'); -- cube_in
+SELECT cube('{0,1,2}'::float[], '{0,1,2}'::float[]); -- cube_a_f8_f8
+SELECT cube('{5,6,7,8}'::float[]); -- cube_a_f8
+SELECT cube(1.37); -- cube_f8
+SELECT cube(1.37, 1.37); -- cube_f8_f8
+SELECT cube(cube(1,1), 42); -- cube_c_f8
+SELECT cube(cube(1,2), 42); -- cube_c_f8
+SELECT cube(cube(1,1), 42, 42); -- cube_c_f8_f8
+SELECT cube(cube(1,1), 42, 24); -- cube_c_f8_f8
+SELECT cube(cube(1,2), 42, 42); -- cube_c_f8_f8
+SELECT cube(cube(1,2), 42, 24); -- cube_c_f8_f8
+
+--
+-- Testing limit of CUBE_MAX_DIM dimensions check in cube_in.
+--
+-- create too big cube from literal
+select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
+select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0),(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
+-- from an array
+select cube(array(SELECT 0 as a FROM generate_series(1,101)));
+select cube(array(SELECT 0 as a FROM generate_series(1,101)),array(SELECT 0 as a FROM generate_series(1,101)));
+
+-- extend cube beyond limit
+-- this should work
+select cube(array(SELECT 0 as a FROM generate_series(1,100)));
+select cube(array(SELECT 0 as a FROM generate_series(1,100)),array(SELECT 0 as a FROM generate_series(1,100)));
+-- this should fail
+select cube(cube(array(SELECT 0 as a FROM generate_series(1,100))), 0);
+select cube(cube(array(SELECT 0 as a FROM generate_series(1,100)),array(SELECT 0 as a FROM generate_series(1,100))), 0, 0);
+
+
+--
+-- testing the operators
+--
+
+-- equality/inequality:
+--
+SELECT '24, 33.20'::cube = '24, 33.20'::cube AS bool;
+SELECT '24, 33.20'::cube != '24, 33.20'::cube AS bool;
+SELECT '24, 33.20'::cube = '24, 33.21'::cube AS bool;
+SELECT '24, 33.20'::cube != '24, 33.21'::cube AS bool;
+SELECT '(2,0),(3,1)'::cube = '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
+SELECT '(2,0),(3,1)'::cube = '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
+
+-- "lower than" / "greater than"
+-- (these operators are not useful for anything but ordering)
+--
+SELECT '1'::cube > '2'::cube AS bool;
+SELECT '1'::cube < '2'::cube AS bool;
+SELECT '1,1'::cube > '1,2'::cube AS bool;
+SELECT '1,1'::cube < '1,2'::cube AS bool;
+
+SELECT '(2,0),(3,1)'::cube > '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
+SELECT '(2,0),(3,1)'::cube < '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
+SELECT '(2,0),(3,1)'::cube > '(2,0,0,0,1),(3,1,0,0,0)'::cube AS bool;
+SELECT '(2,0),(3,1)'::cube < '(2,0,0,0,1),(3,1,0,0,0)'::cube AS bool;
+SELECT '(2,0),(3,1)'::cube > '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
+SELECT '(2,0),(3,1)'::cube < '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
+SELECT '(2,0,0,0,0),(3,1,0,0,1)'::cube > '(2,0),(3,1)'::cube AS bool;
+SELECT '(2,0,0,0,0),(3,1,0,0,1)'::cube < '(2,0),(3,1)'::cube AS bool;
+SELECT '(2,0,0,0,1),(3,1,0,0,0)'::cube > '(2,0),(3,1)'::cube AS bool;
+SELECT '(2,0,0,0,1),(3,1,0,0,0)'::cube < '(2,0),(3,1)'::cube AS bool;
+SELECT '(2,0,0,0,0),(3,1,0,0,0)'::cube > '(2,0),(3,1)'::cube AS bool;
+SELECT '(2,0,0,0,0),(3,1,0,0,0)'::cube < '(2,0),(3,1)'::cube AS bool;
+
+
+-- "overlap"
+--
+SELECT '1'::cube && '1'::cube AS bool;
+SELECT '1'::cube && '2'::cube AS bool;
+
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '0'::cube AS bool;
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '1'::cube AS bool;
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '1,1,1'::cube AS bool;
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(1,1,1),(2,2,2)]'::cube AS bool;
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(1,1),(2,2)]'::cube AS bool;
+SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(2,1,1),(2,2,2)]'::cube AS bool;
+
+
+-- "contained in" (the left operand is the cube entirely enclosed by
+-- the right operand):
+--
+SELECT '0'::cube <@ '0'::cube AS bool;
+SELECT '0,0,0'::cube <@ '0,0,0'::cube AS bool;
+SELECT '0,0'::cube <@ '0,0,1'::cube AS bool;
+SELECT '0,0,0'::cube <@ '0,0,1'::cube AS bool;
+SELECT '1,0,0'::cube <@ '0,0,1'::cube AS bool;
+SELECT '(1,0,0),(0,0,1)'::cube <@ '(1,0,0),(0,0,1)'::cube AS bool;
+SELECT '(1,0,0),(0,0,1)'::cube <@ '(-1,-1,-1),(1,1,1)'::cube AS bool;
+SELECT '(1,0,0),(0,0,1)'::cube <@ '(-1,-1,-1,-1),(1,1,1,1)'::cube AS bool;
+SELECT '0'::cube <@ '(-1),(1)'::cube AS bool;
+SELECT '1'::cube <@ '(-1),(1)'::cube AS bool;
+SELECT '-1'::cube <@ '(-1),(1)'::cube AS bool;
+SELECT '(-1),(1)'::cube <@ '(-1),(1)'::cube AS bool;
+SELECT '(-1),(1)'::cube <@ '(-1,-1),(1,1)'::cube AS bool;
+SELECT '(-2),(1)'::cube <@ '(-1),(1)'::cube AS bool;
+SELECT '(-2),(1)'::cube <@ '(-1,-1),(1,1)'::cube AS bool;
+
+
+-- "contains" (the left operand is the cube that entirely encloses the
+-- right operand)
+--
+SELECT '0'::cube @> '0'::cube AS bool;
+SELECT '0,0,0'::cube @> '0,0,0'::cube AS bool;
+SELECT '0,0,1'::cube @> '0,0'::cube AS bool;
+SELECT '0,0,1'::cube @> '0,0,0'::cube AS bool;
+SELECT '0,0,1'::cube @> '1,0,0'::cube AS bool;
+SELECT '(1,0,0),(0,0,1)'::cube @> '(1,0,0),(0,0,1)'::cube AS bool;
+SELECT '(-1,-1,-1),(1,1,1)'::cube @> '(1,0,0),(0,0,1)'::cube AS bool;
+SELECT '(-1,-1,-1,-1),(1,1,1,1)'::cube @> '(1,0,0),(0,0,1)'::cube AS bool;
+SELECT '(-1),(1)'::cube @> '0'::cube AS bool;
+SELECT '(-1),(1)'::cube @> '1'::cube AS bool;
+SELECT '(-1),(1)'::cube @> '-1'::cube AS bool;
+SELECT '(-1),(1)'::cube @> '(-1),(1)'::cube AS bool;
+SELECT '(-1,-1),(1,1)'::cube @> '(-1),(1)'::cube AS bool;
+SELECT '(-1),(1)'::cube @> '(-2),(1)'::cube AS bool;
+SELECT '(-1,-1),(1,1)'::cube @> '(-2),(1)'::cube AS bool;
+
+-- Test of distance function
+--
+SELECT cube_distance('(0)'::cube,'(2,2,2,2)'::cube);
+SELECT cube_distance('(0)'::cube,'(.3,.4)'::cube);
+SELECT cube_distance('(2,3,4)'::cube,'(2,3,4)'::cube);
+SELECT cube_distance('(42,42,42,42)'::cube,'(137,137,137,137)'::cube);
+SELECT cube_distance('(42,42,42)'::cube,'(137,137)'::cube);
+
+-- Test of cube function (text to cube)
+--
+SELECT cube('(1,1.2)'::text);
+SELECT cube(NULL);
+
+-- Test of cube_dim function (dimensions stored in cube)
+--
+SELECT cube_dim('(0)'::cube);
+SELECT cube_dim('(0,0)'::cube);
+SELECT cube_dim('(0,0,0)'::cube);
+SELECT cube_dim('(42,42,42),(42,42,42)'::cube);
+SELECT cube_dim('(4,8,15,16,23),(4,8,15,16,23)'::cube);
+
+-- Test of cube_ll_coord function (retrieves LL coordinate values)
+--
+SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 1);
+SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 2);
+SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 3);
+SELECT cube_ll_coord('(1,2),(1,2)'::cube, 1);
+SELECT cube_ll_coord('(1,2),(1,2)'::cube, 2);
+SELECT cube_ll_coord('(1,2),(1,2)'::cube, 3);
+SELECT cube_ll_coord('(42,137)'::cube, 1);
+SELECT cube_ll_coord('(42,137)'::cube, 2);
+SELECT cube_ll_coord('(42,137)'::cube, 3);
+
+-- Test of cube_ur_coord function (retrieves UR coordinate values)
+--
+SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 1);
+SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 2);
+SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 3);
+SELECT cube_ur_coord('(1,2),(1,2)'::cube, 1);
+SELECT cube_ur_coord('(1,2),(1,2)'::cube, 2);
+SELECT cube_ur_coord('(1,2),(1,2)'::cube, 3);
+SELECT cube_ur_coord('(42,137)'::cube, 1);
+SELECT cube_ur_coord('(42,137)'::cube, 2);
+SELECT cube_ur_coord('(42,137)'::cube, 3);
+
+-- Test of cube_is_point
+--
+SELECT cube_is_point('(0)'::cube);
+SELECT cube_is_point('(0,1,2)'::cube);
+SELECT cube_is_point('(0,1,2),(0,1,2)'::cube);
+SELECT cube_is_point('(0,1,2),(-1,1,2)'::cube);
+SELECT cube_is_point('(0,1,2),(0,-1,2)'::cube);
+SELECT cube_is_point('(0,1,2),(0,1,-2)'::cube);
+
+-- Test of cube_enlarge (enlarging and shrinking cubes)
+--
+SELECT cube_enlarge('(0)'::cube, 0, 0);
+SELECT cube_enlarge('(0)'::cube, 0, 1);
+SELECT cube_enlarge('(0)'::cube, 0, 2);
+SELECT cube_enlarge('(2),(-2)'::cube, 0, 4);
+SELECT cube_enlarge('(0)'::cube, 1, 0);
+SELECT cube_enlarge('(0)'::cube, 1, 1);
+SELECT cube_enlarge('(0)'::cube, 1, 2);
+SELECT cube_enlarge('(2),(-2)'::cube, 1, 4);
+SELECT cube_enlarge('(0)'::cube, -1, 0);
+SELECT cube_enlarge('(0)'::cube, -1, 1);
+SELECT cube_enlarge('(0)'::cube, -1, 2);
+SELECT cube_enlarge('(2),(-2)'::cube, -1, 4);
+SELECT cube_enlarge('(0,0,0)'::cube, 1, 0);
+SELECT cube_enlarge('(0,0,0)'::cube, 1, 2);
+SELECT cube_enlarge('(2,-2),(-3,7)'::cube, 1, 2);
+SELECT cube_enlarge('(2,-2),(-3,7)'::cube, 3, 2);
+SELECT cube_enlarge('(2,-2),(-3,7)'::cube, -1, 2);
+SELECT cube_enlarge('(2,-2),(-3,7)'::cube, -3, 2);
+SELECT cube_enlarge('(42,-23,-23),(42,23,23)'::cube, -23, 5);
+SELECT cube_enlarge('(42,-23,-23),(42,23,23)'::cube, -24, 5);
+
+-- Test of cube_union (MBR for two cubes)
+--
+SELECT cube_union('(1,2),(3,4)'::cube, '(5,6,7),(8,9,10)'::cube);
+SELECT cube_union('(1,2)'::cube, '(4,2,0,0)'::cube);
+SELECT cube_union('(1,2),(1,2)'::cube, '(4,2),(4,2)'::cube);
+SELECT cube_union('(1,2),(1,2)'::cube, '(1,2),(1,2)'::cube);
+SELECT cube_union('(1,2),(1,2)'::cube, '(1,2,0),(1,2,0)'::cube);
+
+-- Test of cube_inter
+--
+SELECT cube_inter('(1,2),(10,11)'::cube, '(3,4), (16,15)'::cube); -- intersects
+SELECT cube_inter('(1,2),(10,11)'::cube, '(3,4), (6,5)'::cube); -- includes
+SELECT cube_inter('(1,2),(10,11)'::cube, '(13,14), (16,15)'::cube); -- no intersection
+SELECT cube_inter('(1,2),(10,11)'::cube, '(3,14), (16,15)'::cube); -- no intersection, but one dimension intersects
+SELECT cube_inter('(1,2),(10,11)'::cube, '(10,11), (16,15)'::cube); -- point intersection
+SELECT cube_inter('(1,2,3)'::cube, '(1,2,3)'::cube); -- point args
+SELECT cube_inter('(1,2,3)'::cube, '(5,6,3)'::cube); -- point args
+
+-- Test of cube_size
+--
+SELECT cube_size('(4,8),(15,16)'::cube);
+SELECT cube_size('(42,137)'::cube);
+
+-- Test of distances (euclidean distance may not be bit-exact)
+--
+SET extra_float_digits = 0;
+SELECT cube_distance('(1,1)'::cube, '(4,5)'::cube);
+SELECT '(1,1)'::cube <-> '(4,5)'::cube as d_e;
+RESET extra_float_digits;
+SELECT distance_chebyshev('(1,1)'::cube, '(4,5)'::cube);
+SELECT '(1,1)'::cube <=> '(4,5)'::cube as d_c;
+SELECT distance_taxicab('(1,1)'::cube, '(4,5)'::cube);
+SELECT '(1,1)'::cube <#> '(4,5)'::cube as d_t;
+-- zero for overlapping
+SELECT cube_distance('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
+SELECT distance_chebyshev('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
+SELECT distance_taxicab('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
+-- coordinate access
+SELECT cube(array[10,20,30], array[40,50,60])->1;
+SELECT cube(array[40,50,60], array[10,20,30])->1;
+SELECT cube(array[10,20,30], array[40,50,60])->6;
+SELECT cube(array[10,20,30], array[40,50,60])->0;
+SELECT cube(array[10,20,30], array[40,50,60])->7;
+SELECT cube(array[10,20,30], array[40,50,60])->-1;
+SELECT cube(array[10,20,30], array[40,50,60])->-6;
+SELECT cube(array[10,20,30])->3;
+SELECT cube(array[10,20,30])->6;
+SELECT cube(array[10,20,30])->-6;
+-- "normalized" coordinate access
+SELECT cube(array[10,20,30], array[40,50,60])~>1;
+SELECT cube(array[40,50,60], array[10,20,30])~>1;
+SELECT cube(array[10,20,30], array[40,50,60])~>2;
+SELECT cube(array[40,50,60], array[10,20,30])~>2;
+SELECT cube(array[10,20,30], array[40,50,60])~>3;
+SELECT cube(array[40,50,60], array[10,20,30])~>3;
+
+SELECT cube(array[40,50,60], array[10,20,30])~>0;
+SELECT cube(array[40,50,60], array[10,20,30])~>4;
+SELECT cube(array[40,50,60], array[10,20,30])~>(-1);
+
+-- Load some example data and build the index
+--
+CREATE TABLE test_cube (c cube);
+
+\copy test_cube from 'data/test_cube.data'
+
+CREATE INDEX test_cube_ix ON test_cube USING gist (c);
+SELECT * FROM test_cube WHERE c && '(3000,1000),(0,0)' ORDER BY c;
+
+-- Test sorting
+SELECT * FROM test_cube WHERE c && '(3000,1000),(0,0)' GROUP BY c ORDER BY c;
+
+-- Test index-only scans
+SET enable_bitmapscan = false;
+EXPLAIN (COSTS OFF)
+SELECT c FROM test_cube WHERE c <@ '(3000,1000),(0,0)' ORDER BY c;
+SELECT c FROM test_cube WHERE c <@ '(3000,1000),(0,0)' ORDER BY c;
+RESET enable_bitmapscan;
+
+-- Test kNN
+INSERT INTO test_cube VALUES ('(1,1)'), ('(100000)'), ('(0, 100000)'); -- Some corner cases
+SET enable_seqscan = false;
+
+-- Test different metrics
+SET extra_float_digits = 0;
+SELECT *, c <-> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <-> '(100, 100),(500, 500)'::cube LIMIT 5;
+RESET extra_float_digits;
+SELECT *, c <=> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <=> '(100, 100),(500, 500)'::cube LIMIT 5;
+SELECT *, c <#> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <#> '(100, 100),(500, 500)'::cube LIMIT 5;
+
+-- Test sorting by coordinates
+SELECT c~>1, c FROM test_cube ORDER BY c~>1 LIMIT 15; -- ascending by left bound
+SELECT c~>2, c FROM test_cube ORDER BY c~>2 LIMIT 15; -- ascending by right bound
+SELECT c~>3, c FROM test_cube ORDER BY c~>3 LIMIT 15; -- ascending by lower bound
+SELECT c~>4, c FROM test_cube ORDER BY c~>4 LIMIT 15; -- ascending by upper bound
+SELECT c~>(-1), c FROM test_cube ORDER BY c~>(-1) LIMIT 15; -- descending by left bound
+SELECT c~>(-2), c FROM test_cube ORDER BY c~>(-2) LIMIT 15; -- descending by right bound
+SELECT c~>(-3), c FROM test_cube ORDER BY c~>(-3) LIMIT 15; -- descending by lower bound
+SELECT c~>(-4), c FROM test_cube ORDER BY c~>(-4) LIMIT 15; -- descending by upper bound
+
+-- Same queries with sequential scan (should give the same results as above)
+RESET enable_seqscan;
+SET enable_indexscan = OFF;
+SET extra_float_digits = 0;
+SELECT *, c <-> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <-> '(100, 100),(500, 500)'::cube LIMIT 5;
+RESET extra_float_digits;
+SELECT *, c <=> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <=> '(100, 100),(500, 500)'::cube LIMIT 5;
+SELECT *, c <#> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <#> '(100, 100),(500, 500)'::cube LIMIT 5;
+SELECT c~>1, c FROM test_cube ORDER BY c~>1 LIMIT 15; -- ascending by left bound
+SELECT c~>2, c FROM test_cube ORDER BY c~>2 LIMIT 15; -- ascending by right bound
+SELECT c~>3, c FROM test_cube ORDER BY c~>3 LIMIT 15; -- ascending by lower bound
+SELECT c~>4, c FROM test_cube ORDER BY c~>4 LIMIT 15; -- ascending by upper bound
+SELECT c~>(-1), c FROM test_cube ORDER BY c~>(-1) LIMIT 15; -- descending by left bound
+SELECT c~>(-2), c FROM test_cube ORDER BY c~>(-2) LIMIT 15; -- descending by right bound
+SELECT c~>(-3), c FROM test_cube ORDER BY c~>(-3) LIMIT 15; -- descending by lower bound
+SELECT c~>(-4), c FROM test_cube ORDER BY c~>(-4) LIMIT 15; -- descending by upper bound
+RESET enable_indexscan;
diff --git a/contrib/cube/sql/cube_sci.sql b/contrib/cube/sql/cube_sci.sql
new file mode 100644
index 0000000..35a5407
--- /dev/null
+++ b/contrib/cube/sql/cube_sci.sql
@@ -0,0 +1,22 @@
+---
+--- Testing cube output in scientific notation. This was put into separate
+--- test, because has platform-depending output.
+---
+
+SELECT '1e27'::cube AS cube;
+SELECT '-1e27'::cube AS cube;
+SELECT '1.0e27'::cube AS cube;
+SELECT '-1.0e27'::cube AS cube;
+SELECT '1e+27'::cube AS cube;
+SELECT '-1e+27'::cube AS cube;
+SELECT '1.0e+27'::cube AS cube;
+SELECT '-1.0e+27'::cube AS cube;
+SELECT '1e-7'::cube AS cube;
+SELECT '-1e-7'::cube AS cube;
+SELECT '1.0e-7'::cube AS cube;
+SELECT '-1.0e-7'::cube AS cube;
+SELECT '1e-300'::cube AS cube;
+SELECT '-1e-300'::cube AS cube;
+SELECT '1234567890123456'::cube AS cube;
+SELECT '+1234567890123456'::cube AS cube;
+SELECT '-1234567890123456'::cube AS cube;