regress/expected/box.out

--
-- BOX
--
--
-- box logic
--	     o
-- 3	  o--|X
--	  |  o|
-- 2	+-+-+ |
--	| | | |
-- 1	| o-+-o
--	|   |
-- 0	+---+
--
--	0 1 2 3
--
-- boxes are specified by two points, given by four floats x1,y1,x2,y2
CREATE TABLE BOX_TBL (f1 box);
INSERT INTO BOX_TBL (f1) VALUES ('(2.0,2.0,0.0,0.0)');
INSERT INTO BOX_TBL (f1) VALUES ('(1.0,1.0,3.0,3.0)');
INSERT INTO BOX_TBL (f1) VALUES ('((-8, 2), (-2, -10))');
-- degenerate cases where the box is a line or a point
-- note that lines and points boxes all have zero area
INSERT INTO BOX_TBL (f1) VALUES ('(2.5, 2.5, 2.5,3.5)');
INSERT INTO BOX_TBL (f1) VALUES ('(3.0, 3.0,3.0,3.0)');
-- badly formatted box inputs
INSERT INTO BOX_TBL (f1) VALUES ('(2.3, 4.5)');
ERROR:  invalid input syntax for type box: "(2.3, 4.5)"
LINE 1: INSERT INTO BOX_TBL (f1) VALUES ('(2.3, 4.5)');
                                         ^
INSERT INTO BOX_TBL (f1) VALUES ('[1, 2, 3, 4)');
ERROR:  invalid input syntax for type box: "[1, 2, 3, 4)"
LINE 1: INSERT INTO BOX_TBL (f1) VALUES ('[1, 2, 3, 4)');
                                         ^
INSERT INTO BOX_TBL (f1) VALUES ('(1, 2, 3, 4]');
ERROR:  invalid input syntax for type box: "(1, 2, 3, 4]"
LINE 1: INSERT INTO BOX_TBL (f1) VALUES ('(1, 2, 3, 4]');
                                         ^
INSERT INTO BOX_TBL (f1) VALUES ('(1, 2, 3, 4) x');
ERROR:  invalid input syntax for type box: "(1, 2, 3, 4) x"
LINE 1: INSERT INTO BOX_TBL (f1) VALUES ('(1, 2, 3, 4) x');
                                         ^
INSERT INTO BOX_TBL (f1) VALUES ('asdfasdf(ad');
ERROR:  invalid input syntax for type box: "asdfasdf(ad"
LINE 1: INSERT INTO BOX_TBL (f1) VALUES ('asdfasdf(ad');
                                         ^
SELECT * FROM BOX_TBL;
         f1
---------------------
 (2,2),(0,0)
 (3,3),(1,1)
 (-2,2),(-8,-10)
 (2.5,3.5),(2.5,2.5)
 (3,3),(3,3)
(5 rows)

SELECT b.*, area(b.f1) as barea
   FROM BOX_TBL b;
         f1          | barea
---------------------+-------
 (2,2),(0,0)         |     4
 (3,3),(1,1)         |     4
 (-2,2),(-8,-10)     |    72
 (2.5,3.5),(2.5,2.5) |     0
 (3,3),(3,3)         |     0
(5 rows)

-- overlap
SELECT b.f1
   FROM BOX_TBL b
   WHERE b.f1 && box '(2.5,2.5,1.0,1.0)';
         f1
---------------------
 (2,2),(0,0)
 (3,3),(1,1)
 (2.5,3.5),(2.5,2.5)
(3 rows)

-- left-or-overlap (x only)
SELECT b1.*
   FROM BOX_TBL b1
   WHERE b1.f1 &< box '(2.0,2.0,2.5,2.5)';
         f1
---------------------
 (2,2),(0,0)
 (-2,2),(-8,-10)
 (2.5,3.5),(2.5,2.5)
(3 rows)

-- right-or-overlap (x only)
SELECT b1.*
   FROM BOX_TBL b1
   WHERE b1.f1 &> box '(2.0,2.0,2.5,2.5)';
         f1
---------------------
 (2.5,3.5),(2.5,2.5)
 (3,3),(3,3)
(2 rows)

-- left of
SELECT b.f1
   FROM BOX_TBL b
   WHERE b.f1 << box '(3.0,3.0,5.0,5.0)';
         f1
---------------------
 (2,2),(0,0)
 (-2,2),(-8,-10)
 (2.5,3.5),(2.5,2.5)
(3 rows)

-- area <=
SELECT b.f1
   FROM BOX_TBL b
   WHERE b.f1 <= box '(3.0,3.0,5.0,5.0)';
         f1
---------------------
 (2,2),(0,0)
 (3,3),(1,1)
 (2.5,3.5),(2.5,2.5)
 (3,3),(3,3)
(4 rows)

-- area <
SELECT b.f1
   FROM BOX_TBL b
   WHERE b.f1 < box '(3.0,3.0,5.0,5.0)';
         f1
---------------------
 (2.5,3.5),(2.5,2.5)
 (3,3),(3,3)
(2 rows)

-- area =
SELECT b.f1
   FROM BOX_TBL b
   WHERE b.f1 = box '(3.0,3.0,5.0,5.0)';
     f1
-------------
 (2,2),(0,0)
 (3,3),(1,1)
(2 rows)

-- area >
SELECT b.f1
   FROM BOX_TBL b				-- zero area
   WHERE b.f1 > box '(3.5,3.0,4.5,3.0)';
       f1
-----------------
 (2,2),(0,0)
 (3,3),(1,1)
 (-2,2),(-8,-10)
(3 rows)

-- area >=
SELECT b.f1
   FROM BOX_TBL b				-- zero area
   WHERE b.f1 >= box '(3.5,3.0,4.5,3.0)';
         f1
---------------------
 (2,2),(0,0)
 (3,3),(1,1)
 (-2,2),(-8,-10)
 (2.5,3.5),(2.5,2.5)
 (3,3),(3,3)
(5 rows)

-- right of
SELECT b.f1
   FROM BOX_TBL b
   WHERE box '(3.0,3.0,5.0,5.0)' >> b.f1;
         f1
---------------------
 (2,2),(0,0)
 (-2,2),(-8,-10)
 (2.5,3.5),(2.5,2.5)
(3 rows)

-- contained in
SELECT b.f1
   FROM BOX_TBL b
   WHERE b.f1 <@ box '(0,0,3,3)';
     f1
-------------
 (2,2),(0,0)
 (3,3),(1,1)
 (3,3),(3,3)
(3 rows)

-- contains
SELECT b.f1
   FROM BOX_TBL b
   WHERE box '(0,0,3,3)' @> b.f1;
     f1
-------------
 (2,2),(0,0)
 (3,3),(1,1)
 (3,3),(3,3)
(3 rows)

-- box equality
SELECT b.f1
   FROM BOX_TBL b
   WHERE box '(1,1,3,3)' ~= b.f1;
     f1
-------------
 (3,3),(1,1)
(1 row)

-- center of box, left unary operator
SELECT @@(b1.f1) AS p
   FROM BOX_TBL b1;
    p
---------
 (1,1)
 (2,2)
 (-5,-4)
 (2.5,3)
 (3,3)
(5 rows)

-- wholly-contained
SELECT b1.*, b2.*
   FROM BOX_TBL b1, BOX_TBL b2
   WHERE b1.f1 @> b2.f1 and not b1.f1 ~= b2.f1;
     f1      |     f1
-------------+-------------
 (3,3),(1,1) | (3,3),(3,3)
(1 row)

SELECT height(f1), width(f1) FROM BOX_TBL;
 height | width
--------+-------
      2 |     2
      2 |     2
     12 |     6
      1 |     0
      0 |     0
(5 rows)

--
-- Test the SP-GiST index
--
CREATE TEMPORARY TABLE box_temp (f1 box);
INSERT INTO box_temp
	SELECT box(point(i, i), point(i * 2, i * 2))
	FROM generate_series(1, 50) AS i;
CREATE INDEX box_spgist ON box_temp USING spgist (f1);
INSERT INTO box_temp
	VALUES (NULL),
		   ('(0,0)(0,100)'),
		   ('(-3,4.3333333333)(40,1)'),
		   ('(0,100)(0,infinity)'),
		   ('(-infinity,0)(0,infinity)'),
		   ('(-infinity,-infinity)(infinity,infinity)');
SET enable_seqscan = false;
SELECT * FROM box_temp WHERE f1 << '(10,20),(30,40)';
             f1
----------------------------
 (2,2),(1,1)
 (4,4),(2,2)
 (6,6),(3,3)
 (8,8),(4,4)
 (0,100),(0,0)
 (0,Infinity),(0,100)
 (0,Infinity),(-Infinity,0)
(7 rows)

EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 << '(10,20),(30,40)';
                  QUERY PLAN
----------------------------------------------
 Index Only Scan using box_spgist on box_temp
   Index Cond: (f1 << '(30,40),(10,20)'::box)
(2 rows)

SELECT * FROM box_temp WHERE f1 &< '(10,4.333334),(5,100)';
             f1
----------------------------
 (2,2),(1,1)
 (4,4),(2,2)
 (6,6),(3,3)
 (8,8),(4,4)
 (10,10),(5,5)
 (0,100),(0,0)
 (0,Infinity),(0,100)
 (0,Infinity),(-Infinity,0)
(8 rows)

EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 &< '(10,4.333334),(5,100)';
                     QUERY PLAN
----------------------------------------------------
 Index Only Scan using box_spgist on box_temp
   Index Cond: (f1 &< '(10,100),(5,4.333334)'::box)
(2 rows)

SELECT * FROM box_temp WHERE f1 && '(15,20),(25,30)';
                    f1
-------------------------------------------
 (20,20),(10,10)
 (22,22),(11,11)
 (24,24),(12,12)
 (26,26),(13,13)
 (28,28),(14,14)
 (30,30),(15,15)
 (32,32),(16,16)
 (34,34),(17,17)
 (36,36),(18,18)
 (38,38),(19,19)
 (40,40),(20,20)
 (42,42),(21,21)
 (44,44),(22,22)
 (46,46),(23,23)
 (48,48),(24,24)
 (50,50),(25,25)
 (Infinity,Infinity),(-Infinity,-Infinity)
(17 rows)

EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 && '(15,20),(25,30)';
                  QUERY PLAN
----------------------------------------------
 Index Only Scan using box_spgist on box_temp
   Index Cond: (f1 && '(25,30),(15,20)'::box)
(2 rows)

SELECT * FROM box_temp WHERE f1 &> '(40,30),(45,50)';
        f1
-------------------
 (80,80),(40,40)
 (82,82),(41,41)
 (84,84),(42,42)
 (86,86),(43,43)
 (88,88),(44,44)
 (90,90),(45,45)
 (92,92),(46,46)
 (94,94),(47,47)
 (96,96),(48,48)
 (98,98),(49,49)
 (100,100),(50,50)
(11 rows)

EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 &> '(40,30),(45,50)';
                  QUERY PLAN
----------------------------------------------
 Index Only Scan using box_spgist on box_temp
   Index Cond: (f1 &> '(45,50),(40,30)'::box)
(2 rows)

SELECT * FROM box_temp WHERE f1 >> '(30,40),(40,30)';
        f1
-------------------
 (82,82),(41,41)
 (84,84),(42,42)
 (86,86),(43,43)
 (88,88),(44,44)
 (90,90),(45,45)
 (92,92),(46,46)
 (94,94),(47,47)
 (96,96),(48,48)
 (98,98),(49,49)
 (100,100),(50,50)
(10 rows)

EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 >> '(30,40),(40,30)';
                  QUERY PLAN
----------------------------------------------
 Index Only Scan using box_spgist on box_temp
   Index Cond: (f1 >> '(40,40),(30,30)'::box)
(2 rows)

SELECT * FROM box_temp WHERE f1 <<| '(10,4.33334),(5,100)';
            f1
--------------------------
 (2,2),(1,1)
 (4,4),(2,2)
 (40,4.3333333333),(-3,1)
(3 rows)

EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 <<| '(10,4.33334),(5,100)';
                     QUERY PLAN
----------------------------------------------------
 Index Only Scan using box_spgist on box_temp
   Index Cond: (f1 <<| '(10,100),(5,4.33334)'::box)
(2 rows)

SELECT * FROM box_temp WHERE f1 &<| '(10,4.3333334),(5,1)';
            f1
--------------------------
 (2,2),(1,1)
 (4,4),(2,2)
 (40,4.3333333333),(-3,1)
(3 rows)

EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 &<| '(10,4.3333334),(5,1)';
                     QUERY PLAN
----------------------------------------------------
 Index Only Scan using box_spgist on box_temp
   Index Cond: (f1 &<| '(10,4.3333334),(5,1)'::box)
(2 rows)

SELECT * FROM box_temp WHERE f1 |&> '(49.99,49.99),(49.99,49.99)';
          f1
----------------------
 (100,100),(50,50)
 (0,Infinity),(0,100)
(2 rows)

EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 |&> '(49.99,49.99),(49.99,49.99)';
                        QUERY PLAN
-----------------------------------------------------------
 Index Only Scan using box_spgist on box_temp
   Index Cond: (f1 |&> '(49.99,49.99),(49.99,49.99)'::box)
(2 rows)

SELECT * FROM box_temp WHERE f1 |>> '(37,38),(39,40)';
          f1
----------------------
 (82,82),(41,41)
 (84,84),(42,42)
 (86,86),(43,43)
 (88,88),(44,44)
 (90,90),(45,45)
 (92,92),(46,46)
 (94,94),(47,47)
 (96,96),(48,48)
 (98,98),(49,49)
 (100,100),(50,50)
 (0,Infinity),(0,100)
(11 rows)

EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 |>> '(37,38),(39,40)';
                  QUERY PLAN
-----------------------------------------------
 Index Only Scan using box_spgist on box_temp
   Index Cond: (f1 |>> '(39,40),(37,38)'::box)
(2 rows)

SELECT * FROM box_temp WHERE f1 @> '(10,11),(15,16)';
                    f1
-------------------------------------------
 (16,16),(8,8)
 (18,18),(9,9)
 (20,20),(10,10)
 (Infinity,Infinity),(-Infinity,-Infinity)
(4 rows)

EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 @> '(10,11),(15,15)';
                  QUERY PLAN
----------------------------------------------
 Index Only Scan using box_spgist on box_temp
   Index Cond: (f1 @> '(15,15),(10,11)'::box)
(2 rows)

SELECT * FROM box_temp WHERE f1 <@ '(10,15),(30,35)';
       f1
-----------------
 (30,30),(15,15)
(1 row)

EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 <@ '(10,15),(30,35)';
                  QUERY PLAN
----------------------------------------------
 Index Only Scan using box_spgist on box_temp
   Index Cond: (f1 <@ '(30,35),(10,15)'::box)
(2 rows)

SELECT * FROM box_temp WHERE f1 ~= '(20,20),(40,40)';
       f1
-----------------
 (40,40),(20,20)
(1 row)

EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 ~= '(20,20),(40,40)';
                  QUERY PLAN
----------------------------------------------
 Index Only Scan using box_spgist on box_temp
   Index Cond: (f1 ~= '(40,40),(20,20)'::box)
(2 rows)

RESET enable_seqscan;
DROP INDEX box_spgist;
--
-- Test the SP-GiST index on the larger volume of data
--
CREATE TABLE quad_box_tbl (id int, b box);
INSERT INTO quad_box_tbl
  SELECT (x - 1) * 100 + y, box(point(x * 10, y * 10), point(x * 10 + 5, y * 10 + 5))
  FROM generate_series(1, 100) x,
       generate_series(1, 100) y;
-- insert repeating data to test allTheSame
INSERT INTO quad_box_tbl
  SELECT i, '((200, 300),(210, 310))'
  FROM generate_series(10001, 11000) AS i;
INSERT INTO quad_box_tbl
VALUES
  (11001, NULL),
  (11002, NULL),
  (11003, '((-infinity,-infinity),(infinity,infinity))'),
  (11004, '((-infinity,100),(-infinity,500))'),
  (11005, '((-infinity,-infinity),(700,infinity))');
CREATE INDEX quad_box_tbl_idx ON quad_box_tbl USING spgist(b);
-- get reference results for ORDER BY distance from seq scan
SET enable_seqscan = ON;
SET enable_indexscan = OFF;
SET enable_bitmapscan = OFF;
CREATE TABLE quad_box_tbl_ord_seq1 AS
SELECT rank() OVER (ORDER BY b <-> point '123,456') n, b <-> point '123,456' dist, id
FROM quad_box_tbl;
CREATE TABLE quad_box_tbl_ord_seq2 AS
SELECT rank() OVER (ORDER BY b <-> point '123,456') n, b <-> point '123,456' dist, id
FROM quad_box_tbl WHERE b <@ box '((200,300),(500,600))';
SET enable_seqscan = OFF;
SET enable_indexscan = ON;
SET enable_bitmapscan = ON;
SELECT count(*) FROM quad_box_tbl WHERE b <<  box '((100,200),(300,500))';
 count
-------
   901
(1 row)

SELECT count(*) FROM quad_box_tbl WHERE b &<  box '((100,200),(300,500))';
 count
-------
  3901
(1 row)

SELECT count(*) FROM quad_box_tbl WHERE b &&  box '((100,200),(300,500))';
 count
-------
  1653
(1 row)

SELECT count(*) FROM quad_box_tbl WHERE b &>  box '((100,200),(300,500))';
 count
-------
 10100
(1 row)

SELECT count(*) FROM quad_box_tbl WHERE b >>  box '((100,200),(300,500))';
 count
-------
  7000
(1 row)

SELECT count(*) FROM quad_box_tbl WHERE b >>  box '((100,200),(300,500))';
 count
-------
  7000
(1 row)

SELECT count(*) FROM quad_box_tbl WHERE b <<| box '((100,200),(300,500))';
 count
-------
  1900
(1 row)

SELECT count(*) FROM quad_box_tbl WHERE b &<| box '((100,200),(300,500))';
 count
-------
  5901
(1 row)

SELECT count(*) FROM quad_box_tbl WHERE b |&> box '((100,200),(300,500))';
 count
-------
  9100
(1 row)

SELECT count(*) FROM quad_box_tbl WHERE b |>> box '((100,200),(300,500))';
 count
-------
  5000
(1 row)

SELECT count(*) FROM quad_box_tbl WHERE b @>  box '((201,301),(202,303))';
 count
-------
  1003
(1 row)

SELECT count(*) FROM quad_box_tbl WHERE b <@  box '((100,200),(300,500))';
 count
-------
  1600
(1 row)

SELECT count(*) FROM quad_box_tbl WHERE b ~=  box '((200,300),(205,305))';
 count
-------
     1
(1 row)

-- test ORDER BY distance
SET enable_indexscan = ON;
SET enable_bitmapscan = OFF;
EXPLAIN (COSTS OFF)
SELECT rank() OVER (ORDER BY b <-> point '123,456') n, b <-> point '123,456' dist, id
FROM quad_box_tbl;
                       QUERY PLAN
---------------------------------------------------------
 WindowAgg
   ->  Index Scan using quad_box_tbl_idx on quad_box_tbl
         Order By: (b <-> '(123,456)'::point)
(3 rows)

CREATE TEMP TABLE quad_box_tbl_ord_idx1 AS
SELECT rank() OVER (ORDER BY b <-> point '123,456') n, b <-> point '123,456' dist, id
FROM quad_box_tbl;
SELECT *
FROM quad_box_tbl_ord_seq1 seq FULL JOIN quad_box_tbl_ord_idx1 idx
	ON seq.n = idx.n AND seq.id = idx.id AND
		(seq.dist = idx.dist OR seq.dist IS NULL AND idx.dist IS NULL)
WHERE seq.id IS NULL OR idx.id IS NULL;
 n | dist | id | n | dist | id
---+------+----+---+------+----
(0 rows)

EXPLAIN (COSTS OFF)
SELECT rank() OVER (ORDER BY b <-> point '123,456') n, b <-> point '123,456' dist, id
FROM quad_box_tbl WHERE b <@ box '((200,300),(500,600))';
                       QUERY PLAN
---------------------------------------------------------
 WindowAgg
   ->  Index Scan using quad_box_tbl_idx on quad_box_tbl
         Index Cond: (b <@ '(500,600),(200,300)'::box)
         Order By: (b <-> '(123,456)'::point)
(4 rows)

CREATE TEMP TABLE quad_box_tbl_ord_idx2 AS
SELECT rank() OVER (ORDER BY b <-> point '123,456') n, b <-> point '123,456' dist, id
FROM quad_box_tbl WHERE b <@ box '((200,300),(500,600))';
SELECT *
FROM quad_box_tbl_ord_seq2 seq FULL JOIN quad_box_tbl_ord_idx2 idx
	ON seq.n = idx.n AND seq.id = idx.id AND
		(seq.dist = idx.dist OR seq.dist IS NULL AND idx.dist IS NULL)
WHERE seq.id IS NULL OR idx.id IS NULL;
 n | dist | id | n | dist | id
---+------+----+---+------+----
(0 rows)

RESET enable_seqscan;
RESET enable_indexscan;
RESET enable_bitmapscan;