1--
2-- BOX
3--
4
5--
6-- box logic
7--	     o
8-- 3	  o--|X
9--	  |  o|
10-- 2	+-+-+ |
11--	| | | |
12-- 1	| o-+-o
13--	|   |
14-- 0	+---+
15--
16--	0 1 2 3
17--
18
19-- boxes are specified by two points, given by four floats x1,y1,x2,y2
20
21
22CREATE TABLE BOX_TBL (f1 box);
23
24INSERT INTO BOX_TBL (f1) VALUES ('(2.0,2.0,0.0,0.0)');
25
26INSERT INTO BOX_TBL (f1) VALUES ('(1.0,1.0,3.0,3.0)');
27
28INSERT INTO BOX_TBL (f1) VALUES ('((-8, 2), (-2, -10))');
29
30
31-- degenerate cases where the box is a line or a point
32-- note that lines and points boxes all have zero area
33INSERT INTO BOX_TBL (f1) VALUES ('(2.5, 2.5, 2.5,3.5)');
34
35INSERT INTO BOX_TBL (f1) VALUES ('(3.0, 3.0,3.0,3.0)');
36
37-- badly formatted box inputs
38INSERT INTO BOX_TBL (f1) VALUES ('(2.3, 4.5)');
39
40INSERT INTO BOX_TBL (f1) VALUES ('[1, 2, 3, 4)');
41
42INSERT INTO BOX_TBL (f1) VALUES ('(1, 2, 3, 4]');
43
44INSERT INTO BOX_TBL (f1) VALUES ('(1, 2, 3, 4) x');
45
46INSERT INTO BOX_TBL (f1) VALUES ('asdfasdf(ad');
47
48
49SELECT '' AS four, * FROM BOX_TBL;
50
51SELECT '' AS four, b.*, area(b.f1) as barea
52   FROM BOX_TBL b;
53
54-- overlap
55SELECT '' AS three, b.f1
56   FROM BOX_TBL b
57   WHERE b.f1 && box '(2.5,2.5,1.0,1.0)';
58
59-- left-or-overlap (x only)
60SELECT '' AS two, b1.*
61   FROM BOX_TBL b1
62   WHERE b1.f1 &< box '(2.0,2.0,2.5,2.5)';
63
64-- right-or-overlap (x only)
65SELECT '' AS two, b1.*
66   FROM BOX_TBL b1
67   WHERE b1.f1 &> box '(2.0,2.0,2.5,2.5)';
68
69-- left of
70SELECT '' AS two, b.f1
71   FROM BOX_TBL b
72   WHERE b.f1 << box '(3.0,3.0,5.0,5.0)';
73
74-- area <=
75SELECT '' AS four, b.f1
76   FROM BOX_TBL b
77   WHERE b.f1 <= box '(3.0,3.0,5.0,5.0)';
78
79-- area <
80SELECT '' AS two, b.f1
81   FROM BOX_TBL b
82   WHERE b.f1 < box '(3.0,3.0,5.0,5.0)';
83
84-- area =
85SELECT '' AS two, b.f1
86   FROM BOX_TBL b
87   WHERE b.f1 = box '(3.0,3.0,5.0,5.0)';
88
89-- area >
90SELECT '' AS two, b.f1
91   FROM BOX_TBL b				-- zero area
92   WHERE b.f1 > box '(3.5,3.0,4.5,3.0)';
93
94-- area >=
95SELECT '' AS four, b.f1
96   FROM BOX_TBL b				-- zero area
97   WHERE b.f1 >= box '(3.5,3.0,4.5,3.0)';
98
99-- right of
100SELECT '' AS two, b.f1
101   FROM BOX_TBL b
102   WHERE box '(3.0,3.0,5.0,5.0)' >> b.f1;
103
104-- contained in
105SELECT '' AS three, b.f1
106   FROM BOX_TBL b
107   WHERE b.f1 <@ box '(0,0,3,3)';
108
109-- contains
110SELECT '' AS three, b.f1
111   FROM BOX_TBL b
112   WHERE box '(0,0,3,3)' @> b.f1;
113
114-- box equality
115SELECT '' AS one, b.f1
116   FROM BOX_TBL b
117   WHERE box '(1,1,3,3)' ~= b.f1;
118
119-- center of box, left unary operator
120SELECT '' AS four, @@(b1.f1) AS p
121   FROM BOX_TBL b1;
122
123-- wholly-contained
124SELECT '' AS one, b1.*, b2.*
125   FROM BOX_TBL b1, BOX_TBL b2
126   WHERE b1.f1 @> b2.f1 and not b1.f1 ~= b2.f1;
127
128SELECT '' AS four, height(f1), width(f1) FROM BOX_TBL;
129
130--
131-- Test the SP-GiST index
132--
133
134CREATE TEMPORARY TABLE box_temp (f1 box);
135
136INSERT INTO box_temp
137	SELECT box(point(i, i), point(i * 2, i * 2))
138	FROM generate_series(1, 50) AS i;
139
140CREATE INDEX box_spgist ON box_temp USING spgist (f1);
141
142INSERT INTO box_temp
143	VALUES (NULL),
144		   ('(0,0)(0,100)'),
145		   ('(-3,4.3333333333)(40,1)'),
146		   ('(0,100)(0,infinity)'),
147		   ('(-infinity,0)(0,infinity)'),
148		   ('(-infinity,-infinity)(infinity,infinity)');
149
150SET enable_seqscan = false;
151
152SELECT * FROM box_temp WHERE f1 << '(10,20),(30,40)';
153EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 << '(10,20),(30,40)';
154
155SELECT * FROM box_temp WHERE f1 &< '(10,4.333334),(5,100)';
156EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 &< '(10,4.333334),(5,100)';
157
158SELECT * FROM box_temp WHERE f1 && '(15,20),(25,30)';
159EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 && '(15,20),(25,30)';
160
161SELECT * FROM box_temp WHERE f1 &> '(40,30),(45,50)';
162EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 &> '(40,30),(45,50)';
163
164SELECT * FROM box_temp WHERE f1 >> '(30,40),(40,30)';
165EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 >> '(30,40),(40,30)';
166
167SELECT * FROM box_temp WHERE f1 <<| '(10,4.33334),(5,100)';
168EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 <<| '(10,4.33334),(5,100)';
169
170SELECT * FROM box_temp WHERE f1 &<| '(10,4.3333334),(5,1)';
171EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 &<| '(10,4.3333334),(5,1)';
172
173SELECT * FROM box_temp WHERE f1 |&> '(49.99,49.99),(49.99,49.99)';
174EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 |&> '(49.99,49.99),(49.99,49.99)';
175
176SELECT * FROM box_temp WHERE f1 |>> '(37,38),(39,40)';
177EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 |>> '(37,38),(39,40)';
178
179SELECT * FROM box_temp WHERE f1 @> '(10,11),(15,16)';
180EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 @> '(10,11),(15,15)';
181
182SELECT * FROM box_temp WHERE f1 <@ '(10,15),(30,35)';
183EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 <@ '(10,15),(30,35)';
184
185SELECT * FROM box_temp WHERE f1 ~= '(20,20),(40,40)';
186EXPLAIN (COSTS OFF) SELECT * FROM box_temp WHERE f1 ~= '(20,20),(40,40)';
187
188RESET enable_seqscan;
189
190DROP INDEX box_spgist;
191
192--
193-- Test the SP-GiST index on the larger volume of data
194--
195CREATE TABLE quad_box_tbl (b box);
196
197INSERT INTO quad_box_tbl
198	SELECT box(point(x * 10, y * 10), point(x * 10 + 5, y * 10 + 5))
199	FROM generate_series(1, 100) x,
200		 generate_series(1, 100) y;
201
202-- insert repeating data to test allTheSame
203INSERT INTO quad_box_tbl
204	SELECT '((200, 300),(210, 310))'
205	FROM generate_series(1, 1000);
206
207INSERT INTO quad_box_tbl
208	VALUES
209		(NULL),
210		(NULL),
211		('((-infinity,-infinity),(infinity,infinity))'),
212		('((-infinity,100),(-infinity,500))'),
213		('((-infinity,-infinity),(700,infinity))');
214
215CREATE INDEX quad_box_tbl_idx ON quad_box_tbl USING spgist(b);
216
217SET enable_seqscan = OFF;
218SET enable_indexscan = ON;
219SET enable_bitmapscan = ON;
220
221SELECT count(*) FROM quad_box_tbl WHERE b <<  box '((100,200),(300,500))';
222SELECT count(*) FROM quad_box_tbl WHERE b &<  box '((100,200),(300,500))';
223SELECT count(*) FROM quad_box_tbl WHERE b &&  box '((100,200),(300,500))';
224SELECT count(*) FROM quad_box_tbl WHERE b &>  box '((100,200),(300,500))';
225SELECT count(*) FROM quad_box_tbl WHERE b >>  box '((100,200),(300,500))';
226SELECT count(*) FROM quad_box_tbl WHERE b >>  box '((100,200),(300,500))';
227SELECT count(*) FROM quad_box_tbl WHERE b <<| box '((100,200),(300,500))';
228SELECT count(*) FROM quad_box_tbl WHERE b &<| box '((100,200),(300,500))';
229SELECT count(*) FROM quad_box_tbl WHERE b |&> box '((100,200),(300,500))';
230SELECT count(*) FROM quad_box_tbl WHERE b |>> box '((100,200),(300,500))';
231SELECT count(*) FROM quad_box_tbl WHERE b @>  box '((201,301),(202,303))';
232SELECT count(*) FROM quad_box_tbl WHERE b <@  box '((100,200),(300,500))';
233SELECT count(*) FROM quad_box_tbl WHERE b ~=  box '((200,300),(205,305))';
234
235RESET enable_seqscan;
236RESET enable_indexscan;
237RESET enable_bitmapscan;
238