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+/* 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);