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77bb65d3fc
postgresql/src/test/regress/expected/geometry.out
Tom Lane 37c443eefd Fix compare_fuzzy_path_costs() to behave a bit more sanely. The original 
coding would ignore startup cost differences of less than 1% of the
estimated total cost; which was OK for normal planning but highly not OK
if a very small LIMIT was applied afterwards, so that startup cost becomes
the name of the game.  Instead, compare startup and total costs fuzzily
but independently.  This changes the plan selected for two queries in the
regression tests; adjust expected-output files for resulting changes in
row order.  Per reports from Dawid Kuroczko and Sam Mason.
2005-07-22 19:12:02 +00:00

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--
-- GEOMETRY
--
-- Back off displayed precision a little bit to reduce platform-to-platform
-- variation in results.
SET extra_float_digits TO -3;
--
-- Points
--
SELECT '' AS four, center(f1) AS center
FROM BOX_TBL;
four | center
------+---------
| (1,1)
| (2,2)
| (2.5,3)
| (3,3)
(4 rows)
SELECT '' AS four, (@@ f1) AS center
FROM BOX_TBL;
four | center
------+---------
| (1,1)
| (2,2)
| (2.5,3)
| (3,3)
(4 rows)
SELECT '' AS six, point(f1) AS center
FROM CIRCLE_TBL;
six | center
-----+-----------
| (5,1)
| (1,2)
| (1,3)
| (1,2)
| (100,200)
| (100,1)
(6 rows)
SELECT '' AS six, (@@ f1) AS center
FROM CIRCLE_TBL;
six | center
-----+-----------
| (5,1)
| (1,2)
| (1,3)
| (1,2)
| (100,200)
| (100,1)
(6 rows)
SELECT '' AS two, (@@ f1) AS center
FROM POLYGON_TBL
WHERE (# f1) > 2;
two | center
-----+-------------------------------
| (1.33333333333,1.33333333333)
| (2.33333333333,1.33333333333)
(2 rows)
-- "is horizontal" function
SELECT '' AS two, p1.f1
FROM POINT_TBL p1
WHERE ishorizontal(p1.f1, point '(0,0)');
two | f1
-----+---------
| (0,0)
| (-10,0)
(2 rows)
-- "is horizontal" operator
SELECT '' AS two, p1.f1
FROM POINT_TBL p1
WHERE p1.f1 ?- point '(0,0)';
two | f1
-----+---------
| (0,0)
| (-10,0)
(2 rows)
-- "is vertical" function
SELECT '' AS one, p1.f1
FROM POINT_TBL p1
WHERE isvertical(p1.f1, point '(5.1,34.5)');
one | f1
-----+------------
| (5.1,34.5)
(1 row)
-- "is vertical" operator
SELECT '' AS one, p1.f1
FROM POINT_TBL p1
WHERE p1.f1 ?| point '(5.1,34.5)';
one | f1
-----+------------
| (5.1,34.5)
(1 row)
--
-- Line segments
--
-- intersection
SELECT '' AS count, p.f1, l.s, l.s # p.f1 AS intersection
FROM LSEG_TBL l, POINT_TBL p;
ERROR: operator does not exist: lseg # point
HINT: No operator matches the given name and argument type(s). You may need to add explicit type casts.
-- closest point
SELECT '' AS thirty, p.f1, l.s, p.f1 ## l.s AS closest
FROM LSEG_TBL l, POINT_TBL p;
thirty | f1 | s | closest
--------+------------+-------------------------------+----------------------------------
| (0,0) | [(1,2),(3,4)] | (1,2)
| (0,0) | [(0,0),(6,6)] | (-0,0)
| (0,0) | [(10,-10),(-3,-4)] | (-2.0487804878,-4.43902439024)
| (0,0) | [(-1000000,200),(300000,-40)] | (0.00284023658959,15.3846148603)
| (0,0) | [(11,22),(33,44)] | (11,22)
| (-10,0) | [(1,2),(3,4)] | (1,2)
| (-10,0) | [(0,0),(6,6)] | (0,0)
| (-10,0) | [(10,-10),(-3,-4)] | (-3,-4)
| (-10,0) | [(-1000000,200),(300000,-40)] | (-9.99715942258,15.386461014)
| (-10,0) | [(11,22),(33,44)] | (11,22)
| (-3,4) | [(1,2),(3,4)] | (1,2)
| (-3,4) | [(0,0),(6,6)] | (0.5,0.5)
| (-3,4) | [(10,-10),(-3,-4)] | (-3,-4)
| (-3,4) | [(-1000000,200),(300000,-40)] | (-2.99789812268,15.3851688427)
| (-3,4) | [(11,22),(33,44)] | (11,22)
| (5.1,34.5) | [(1,2),(3,4)] | (3,4)
| (5.1,34.5) | [(0,0),(6,6)] | (6,6)
| (5.1,34.5) | [(10,-10),(-3,-4)] | (-3,-4)
| (5.1,34.5) | [(-1000000,200),(300000,-40)] | (5.09647083221,15.3836744977)
| (5.1,34.5) | [(11,22),(33,44)] | (14.3,25.3)
| (-5,-12) | [(1,2),(3,4)] | (1,2)
| (-5,-12) | [(0,0),(6,6)] | (0,0)
| (-5,-12) | [(10,-10),(-3,-4)] | (-1.60487804878,-4.64390243902)
| (-5,-12) | [(-1000000,200),(300000,-40)] | (-4.99494420846,15.3855375282)
| (-5,-12) | [(11,22),(33,44)] | (11,22)
| (10,10) | [(1,2),(3,4)] | (3,4)
| (10,10) | [(0,0),(6,6)] | (6,6)
| (10,10) | [(10,-10),(-3,-4)] | (2.39024390244,-6.48780487805)
| (10,10) | [(-1000000,200),(300000,-40)] | (10.000993742,15.3827690473)
| (10,10) | [(11,22),(33,44)] | (11,22)
(30 rows)
--
-- Lines
--
--
-- Boxes
--
SELECT '' as six, box(f1) AS box FROM CIRCLE_TBL;
six | box
-----+----------------------------------------------------------------
| (7.12132034356,3.12132034356),(2.87867965644,-1.12132034356)
| (71.7106781187,72.7106781187),(-69.7106781187,-68.7106781187)
| (4.53553390593,6.53553390593),(-2.53553390593,-0.535533905933)
| (3.12132034356,4.12132034356),(-1.12132034356,-0.12132034356)
| (107.071067812,207.071067812),(92.9289321881,192.928932188)
| (181.317279836,82.3172798365),(18.6827201635,-80.3172798365)
(6 rows)
-- translation
SELECT '' AS twentyfour, b.f1 + p.f1 AS translation
FROM BOX_TBL b, POINT_TBL p;
twentyfour | translation
------------+-------------------------
| (2,2),(0,0)
| (3,3),(1,1)
| (2.5,3.5),(2.5,2.5)
| (3,3),(3,3)
| (-8,2),(-10,0)
| (-7,3),(-9,1)
| (-7.5,3.5),(-7.5,2.5)
| (-7,3),(-7,3)
| (-1,6),(-3,4)
| (0,7),(-2,5)
| (-0.5,7.5),(-0.5,6.5)
| (0,7),(0,7)
| (7.1,36.5),(5.1,34.5)
| (8.1,37.5),(6.1,35.5)
| (7.6,38),(7.6,37)
| (8.1,37.5),(8.1,37.5)
| (-3,-10),(-5,-12)
| (-2,-9),(-4,-11)
| (-2.5,-8.5),(-2.5,-9.5)
| (-2,-9),(-2,-9)
| (12,12),(10,10)
| (13,13),(11,11)
| (12.5,13.5),(12.5,12.5)
| (13,13),(13,13)
(24 rows)
SELECT '' AS twentyfour, b.f1 - p.f1 AS translation
FROM BOX_TBL b, POINT_TBL p;
twentyfour | translation
------------+---------------------------
| (2,2),(0,0)
| (3,3),(1,1)
| (2.5,3.5),(2.5,2.5)
| (3,3),(3,3)
| (12,2),(10,0)
| (13,3),(11,1)
| (12.5,3.5),(12.5,2.5)
| (13,3),(13,3)
| (5,-2),(3,-4)
| (6,-1),(4,-3)
| (5.5,-0.5),(5.5,-1.5)
| (6,-1),(6,-1)
| (-3.1,-32.5),(-5.1,-34.5)
| (-2.1,-31.5),(-4.1,-33.5)
| (-2.6,-31),(-2.6,-32)
| (-2.1,-31.5),(-2.1,-31.5)
| (7,14),(5,12)
| (8,15),(6,13)
| (7.5,15.5),(7.5,14.5)
| (8,15),(8,15)
| (-8,-8),(-10,-10)
| (-7,-7),(-9,-9)
| (-7.5,-6.5),(-7.5,-7.5)
| (-7,-7),(-7,-7)
(24 rows)
-- scaling and rotation
SELECT '' AS twentyfour, b.f1 * p.f1 AS rotation
FROM BOX_TBL b, POINT_TBL p;
twentyfour | rotation
------------+-----------------------------
| (0,0),(0,0)
| (0,0),(0,0)
| (0,0),(0,0)
| (0,0),(0,0)
| (-0,0),(-20,-20)
| (-10,-10),(-30,-30)
| (-25,-25),(-25,-35)
| (-30,-30),(-30,-30)
| (-0,2),(-14,0)
| (-7,3),(-21,1)
| (-17.5,2.5),(-21.5,-0.5)
| (-21,3),(-21,3)
| (0,79.2),(-58.8,0)
| (-29.4,118.8),(-88.2,39.6)
| (-73.5,104.1),(-108,99)
| (-88.2,118.8),(-88.2,118.8)
| (14,-0),(0,-34)
| (21,-17),(7,-51)
| (29.5,-42.5),(17.5,-47.5)
| (21,-51),(21,-51)
| (0,40),(0,0)
| (0,60),(0,20)
| (0,60),(-10,50)
| (0,60),(0,60)
(24 rows)
SELECT '' AS twenty, b.f1 / p.f1 AS rotation
FROM BOX_TBL b, POINT_TBL p
WHERE (p.f1 <-> point '(0,0)') >= 1;
twenty | rotation
--------+----------------------------------------------------------------------
| (0,-0),(-0.2,-0.2)
| (-0.1,-0.1),(-0.3,-0.3)
| (-0.25,-0.25),(-0.25,-0.35)
| (-0.3,-0.3),(-0.3,-0.3)
| (0.08,-0),(0,-0.56)
| (0.12,-0.28),(0.04,-0.84)
| (0.26,-0.7),(0.1,-0.82)
| (0.12,-0.84),(0.12,-0.84)
| (0.0651176557644,0),(0,-0.0483449262493)
| (0.0976764836466,-0.0241724631247),(0.0325588278822,-0.072517389374)
| (0.109762715209,-0.0562379754329),(0.0813970697055,-0.0604311578117)
| (0.0976764836466,-0.072517389374),(0.0976764836466,-0.072517389374)
| (-0,0.0828402366864),(-0.201183431953,0)
| (-0.100591715976,0.12426035503),(-0.301775147929,0.0414201183432)
| (-0.251479289941,0.103550295858),(-0.322485207101,0.0739644970414)
| (-0.301775147929,0.12426035503),(-0.301775147929,0.12426035503)
| (0.2,0),(0,0)
| (0.3,0),(0.1,0)
| (0.3,0.05),(0.25,0)
| (0.3,0),(0.3,0)
(20 rows)
--
-- Paths
--
SET geqo TO 'off';
SELECT '' AS eight, npoints(f1) AS npoints, f1 AS path FROM PATH_TBL;
eight | npoints | path
-------+---------+---------------------------
| 2 | [(1,2),(3,4)]
| 2 | ((1,2),(3,4))
| 4 | [(0,0),(3,0),(4,5),(1,6)]
| 2 | ((1,2),(3,4))
| 2 | ((1,2),(3,4))
| 2 | [(1,2),(3,4)]
| 2 | [(11,12),(13,14)]
| 2 | ((11,12),(13,14))
(8 rows)
SELECT '' AS four, path(f1) FROM POLYGON_TBL;
four | path
------+---------------------
| ((2,0),(2,4),(0,0))
| ((3,1),(3,3),(1,0))
| ((0,0))
| ((0,1),(0,1))
(4 rows)
-- translation
SELECT '' AS eight, p1.f1 + point '(10,10)' AS dist_add
FROM PATH_TBL p1;
eight | dist_add
-------+-----------------------------------
| [(11,12),(13,14)]
| ((11,12),(13,14))
| [(10,10),(13,10),(14,15),(11,16)]
| ((11,12),(13,14))
| ((11,12),(13,14))
| [(11,12),(13,14)]
| [(21,22),(23,24)]
| ((21,22),(23,24))
(8 rows)
-- scaling and rotation
SELECT '' AS eight, p1.f1 * point '(2,-1)' AS dist_mul
FROM PATH_TBL p1;
eight | dist_mul
-------+------------------------------
| [(4,3),(10,5)]
| ((4,3),(10,5))
| [(0,0),(6,-3),(13,6),(8,11)]
| ((4,3),(10,5))
| ((4,3),(10,5))
| [(4,3),(10,5)]
| [(34,13),(40,15)]
| ((34,13),(40,15))
(8 rows)
RESET geqo;
--
-- Polygons
--
-- containment
SELECT '' AS twentyfour, p.f1, poly.f1, poly.f1 ~ p.f1 AS contains
FROM POLYGON_TBL poly, POINT_TBL p;
twentyfour | f1 | f1 | contains
------------+------------+---------------------+----------
| (0,0) | ((2,0),(2,4),(0,0)) | t
| (0,0) | ((3,1),(3,3),(1,0)) | f
| (0,0) | ((0,0)) | t
| (0,0) | ((0,1),(0,1)) | f
| (-10,0) | ((2,0),(2,4),(0,0)) | f
| (-10,0) | ((3,1),(3,3),(1,0)) | f
| (-10,0) | ((0,0)) | f
| (-10,0) | ((0,1),(0,1)) | f
| (-3,4) | ((2,0),(2,4),(0,0)) | f
| (-3,4) | ((3,1),(3,3),(1,0)) | f
| (-3,4) | ((0,0)) | f
| (-3,4) | ((0,1),(0,1)) | f
| (5.1,34.5) | ((2,0),(2,4),(0,0)) | f
| (5.1,34.5) | ((3,1),(3,3),(1,0)) | f
| (5.1,34.5) | ((0,0)) | f
| (5.1,34.5) | ((0,1),(0,1)) | f
| (-5,-12) | ((2,0),(2,4),(0,0)) | f
| (-5,-12) | ((3,1),(3,3),(1,0)) | f
| (-5,-12) | ((0,0)) | f
| (-5,-12) | ((0,1),(0,1)) | f
| (10,10) | ((2,0),(2,4),(0,0)) | f
| (10,10) | ((3,1),(3,3),(1,0)) | f
| (10,10) | ((0,0)) | f
| (10,10) | ((0,1),(0,1)) | f
(24 rows)
SELECT '' AS twentyfour, p.f1, poly.f1, p.f1 @ poly.f1 AS contained
FROM POLYGON_TBL poly, POINT_TBL p;
twentyfour | f1 | f1 | contained
------------+------------+---------------------+-----------
| (0,0) | ((2,0),(2,4),(0,0)) | t
| (0,0) | ((3,1),(3,3),(1,0)) | f
| (0,0) | ((0,0)) | t
| (0,0) | ((0,1),(0,1)) | f
| (-10,0) | ((2,0),(2,4),(0,0)) | f
| (-10,0) | ((3,1),(3,3),(1,0)) | f
| (-10,0) | ((0,0)) | f
| (-10,0) | ((0,1),(0,1)) | f
| (-3,4) | ((2,0),(2,4),(0,0)) | f
| (-3,4) | ((3,1),(3,3),(1,0)) | f
| (-3,4) | ((0,0)) | f
| (-3,4) | ((0,1),(0,1)) | f
| (5.1,34.5) | ((2,0),(2,4),(0,0)) | f
| (5.1,34.5) | ((3,1),(3,3),(1,0)) | f
| (5.1,34.5) | ((0,0)) | f
| (5.1,34.5) | ((0,1),(0,1)) | f
| (-5,-12) | ((2,0),(2,4),(0,0)) | f
| (-5,-12) | ((3,1),(3,3),(1,0)) | f
| (-5,-12) | ((0,0)) | f
| (-5,-12) | ((0,1),(0,1)) | f
| (10,10) | ((2,0),(2,4),(0,0)) | f
| (10,10) | ((3,1),(3,3),(1,0)) | f
| (10,10) | ((0,0)) | f
| (10,10) | ((0,1),(0,1)) | f
(24 rows)
SELECT '' AS four, npoints(f1) AS npoints, f1 AS polygon
FROM POLYGON_TBL;
four | npoints | polygon
------+---------+---------------------
| 3 | ((2,0),(2,4),(0,0))
| 3 | ((3,1),(3,3),(1,0))
| 1 | ((0,0))
| 2 | ((0,1),(0,1))
(4 rows)
SELECT '' AS four, polygon(f1)
FROM BOX_TBL;
four | polygon
------+-------------------------------------------
| ((0,0),(0,2),(2,2),(2,0))
| ((1,1),(1,3),(3,3),(3,1))
| ((2.5,2.5),(2.5,3.5),(2.5,3.5),(2.5,2.5))
| ((3,3),(3,3),(3,3),(3,3))
(4 rows)
SELECT '' AS four, polygon(f1)
FROM PATH_TBL WHERE isclosed(f1);
four | polygon
------+-------------------
| ((1,2),(3,4))
| ((1,2),(3,4))
| ((1,2),(3,4))
| ((11,12),(13,14))
(4 rows)
SELECT '' AS four, f1 AS open_path, polygon( pclose(f1)) AS polygon
FROM PATH_TBL
WHERE isopen(f1);
four | open_path | polygon
------+---------------------------+---------------------------
| [(1,2),(3,4)] | ((1,2),(3,4))
| [(0,0),(3,0),(4,5),(1,6)] | ((0,0),(3,0),(4,5),(1,6))
| [(1,2),(3,4)] | ((1,2),(3,4))
| [(11,12),(13,14)] | ((11,12),(13,14))
(4 rows)
-- convert circles to polygons using the default number of points
SELECT '' AS six, polygon(f1)
FROM CIRCLE_TBL;
six | polygon
-----+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
| ((2,1),(2.40192378865,2.5),(3.5,3.59807621135),(5,4),(6.5,3.59807621135),(7.59807621135,2.5),(8,1),(7.59807621135,-0.5),(6.5,-1.59807621135),(5,-2),(3.5,-1.59807621135),(2.40192378865,-0.5))
| ((-99,2),(-85.6025403784,52),(-49,88.6025403784),(1,102),(51,88.6025403784),(87.6025403784,52),(101,2),(87.6025403784,-48),(51,-84.6025403784),(1,-98),(-49,-84.6025403784),(-85.6025403784,-48))
| ((-4,3),(-3.33012701892,5.5),(-1.5,7.33012701892),(1,8),(3.5,7.33012701892),(5.33012701892,5.5),(6,3),(5.33012701892,0.5),(3.5,-1.33012701892),(1,-2),(-1.5,-1.33012701892),(-3.33012701892,0.5))
| ((-2,2),(-1.59807621135,3.5),(-0.5,4.59807621135),(1,5),(2.5,4.59807621135),(3.59807621135,3.5),(4,2),(3.59807621135,0.5),(2.5,-0.598076211353),(1,-1),(-0.5,-0.598076211353),(-1.59807621135,0.5))
| ((90,200),(91.3397459622,205),(95,208.660254038),(100,210),(105,208.660254038),(108.660254038,205),(110,200),(108.660254038,195),(105,191.339745962),(100,190),(95,191.339745962),(91.3397459622,195))
| ((-15,1),(0.40707856479,58.5),(42.5,100.592921435),(100,116),(157.5,100.592921435),(199.592921435,58.5),(215,1),(199.592921435,-56.5),(157.5,-98.5929214352),(100,-114),(42.5,-98.5929214352),(0.40707856479,-56.5))
(6 rows)
-- convert the circle to an 8-point polygon
SELECT '' AS six, polygon(8, f1)
FROM CIRCLE_TBL;
six | polygon
-----+------------------------------------------------------------------------------------------------------------------------------------------------------------------
| ((2,1),(2.87867965644,3.12132034356),(5,4),(7.12132034356,3.12132034356),(8,1),(7.12132034356,-1.12132034356),(5,-2),(2.87867965644,-1.12132034356))
| ((-99,2),(-69.7106781187,72.7106781187),(1,102),(71.7106781187,72.7106781187),(101,2),(71.7106781187,-68.7106781187),(1,-98),(-69.7106781187,-68.7106781187))
| ((-4,3),(-2.53553390593,6.53553390593),(1,8),(4.53553390593,6.53553390593),(6,3),(4.53553390593,-0.535533905933),(1,-2),(-2.53553390593,-0.535533905933))
| ((-2,2),(-1.12132034356,4.12132034356),(1,5),(3.12132034356,4.12132034356),(4,2),(3.12132034356,-0.12132034356),(1,-1),(-1.12132034356,-0.12132034356))
| ((90,200),(92.9289321881,207.071067812),(100,210),(107.071067812,207.071067812),(110,200),(107.071067812,192.928932188),(100,190),(92.9289321881,192.928932188))
| ((-15,1),(18.6827201635,82.3172798365),(100,116),(181.317279836,82.3172798365),(215,1),(181.317279836,-80.3172798365),(100,-114),(18.6827201635,-80.3172798365))
(6 rows)
--
-- Circles
--
SELECT '' AS six, circle(f1, 50.0)
FROM POINT_TBL;
six | circle
-----+-----------------
| <(0,0),50>
| <(-10,0),50>
| <(-3,4),50>
| <(5.1,34.5),50>
| <(-5,-12),50>
| <(10,10),50>
(6 rows)
SELECT '' AS four, circle(f1)
FROM BOX_TBL;
four | circle
------+-----------------------
| <(1,1),1.41421356237>
| <(2,2),1.41421356237>
| <(2.5,3),0.5>
| <(3,3),0>
(4 rows)
SELECT '' AS two, circle(f1)
FROM POLYGON_TBL
WHERE (# f1) >= 3;
two | circle
-----+-----------------------------------------------
| <(1.33333333333,1.33333333333),2.04168905064>
| <(2.33333333333,1.33333333333),1.47534300379>
(2 rows)
SELECT '' AS twentyfour, c1.f1 AS circle, p1.f1 AS point, (p1.f1 <-> c1.f1) AS distance
FROM CIRCLE_TBL c1, POINT_TBL p1
WHERE (p1.f1 <-> c1.f1) > 0
ORDER BY distance, circle using <, point using <<;
twentyfour | circle | point | distance
------------+----------------+------------+---------------
| <(1,2),3> | (-3,4) | 1.472135955
| <(5,1),3> | (0,0) | 2.09901951359
| <(5,1),3> | (-3,4) | 5.54400374532
| <(1,3),5> | (-10,0) | 6.40175425099
| <(1,3),5> | (10,10) | 6.40175425099
| <(5,1),3> | (10,10) | 7.29563014099
| <(1,2),3> | (-10,0) | 8.1803398875
| <(1,2),3> | (10,10) | 9.04159457879
| <(1,3),5> | (-5,-12) | 11.1554944214
| <(5,1),3> | (-10,0) | 12.0332963784
| <(1,2),3> | (-5,-12) | 12.2315462117
| <(5,1),3> | (-5,-12) | 13.4012194669
| <(1,3),5> | (5.1,34.5) | 26.7657047773
| <(1,2),3> | (5.1,34.5) | 29.7575945393
| <(5,1),3> | (5.1,34.5) | 30.5001492534
| <(100,200),10> | (5.1,34.5) | 180.778038568
| <(100,200),10> | (10,10) | 200.237960416
| <(100,200),10> | (-3,4) | 211.415898255
| <(100,200),10> | (0,0) | 213.60679775
| <(100,200),10> | (-10,0) | 218.25424421
| <(100,200),10> | (-5,-12) | 226.577682802
(21 rows)
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