--- /dev/null
+--
+-- GEOMETRY
+--
+--
+-- 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
+-----+-----------
+ | (0,0)
+ | (1,2)
+ | (1,3)
+ | (1,2)
+ | (100,200)
+ | (100,0)
+(6 rows)
+
+SELECT '' AS six, (@@ f1) AS center
+ FROM CIRCLE_TBL;
+ six | center
+-----+-----------
+ | (0,0)
+ | (1,2)
+ | (1,3)
+ | (1,2)
+ | (100,200)
+ | (100,0)
+(6 rows)
+
+SELECT '' AS two, (@@ f1) AS center
+ FROM POLYGON_TBL
+ WHERE (# f1) > 2;
+ two | center
+-----+-------------------------------------
+ | (1.33333333333333,1.33333333333333)
+ | (2.33333333333333,1.33333333333333)
+(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: Unable to identify an operator '#' for types 'lseg' and 'point'
+ You will have to retype this query using an explicit cast
+-- 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)
+ | (-10,0) | [(1,2),(3,4)] | (1,2)
+ | (-3,4) | [(1,2),(3,4)] | (1,2)
+ | (5.1,34.5) | [(1,2),(3,4)] | (3,4)
+ | (-5,-12) | [(1,2),(3,4)] | (1,2)
+ | (10,10) | [(1,2),(3,4)] | (3,4)
+ | (0,0) | [(0,0),(6,6)] | (-0,0)
+ | (-10,0) | [(0,0),(6,6)] | (0,0)
+ | (-3,4) | [(0,0),(6,6)] | (0.5,0.5)
+ | (5.1,34.5) | [(0,0),(6,6)] | (6,6)
+ | (-5,-12) | [(0,0),(6,6)] | (0,0)
+ | (10,10) | [(0,0),(6,6)] | (6,6)
+ | (0,0) | [(10,-10),(-3,-4)] | (-2.04878048780488,-4.4390243902439)
+ | (-10,0) | [(10,-10),(-3,-4)] | (-3,-4)
+ | (-3,4) | [(10,-10),(-3,-4)] | (-3,-4)
+ | (5.1,34.5) | [(10,-10),(-3,-4)] | (-3,-4)
+ | (-5,-12) | [(10,-10),(-3,-4)] | (-1.60487804878049,-4.64390243902439)
+ | (10,10) | [(10,-10),(-3,-4)] | (2.39024390243902,-6.48780487804878)
+ | (0,0) | [(-1000000,200),(300000,-40)] | (0.0028402365895872,15.384614860264)
+ | (-10,0) | [(-1000000,200),(300000,-40)] | (-9.99715942258202,15.3864610140472)
+ | (-3,4) | [(-1000000,200),(300000,-40)] | (-2.99789812267519,15.3851688427303)
+ | (5.1,34.5) | [(-1000000,200),(300000,-40)] | (5.09647083221496,15.3836744976925)
+ | (-5,-12) | [(-1000000,200),(300000,-40)] | (-4.99494420845634,15.3855375281616)
+ | (10,10) | [(-1000000,200),(300000,-40)] | (10.000993741978,15.3827690473092)
+ | (0,0) | [(11,22),(33,44)] | (11,22)
+ | (-10,0) | [(11,22),(33,44)] | (11,22)
+ | (-3,4) | [(11,22),(33,44)] | (11,22)
+ | (5.1,34.5) | [(11,22),(33,44)] | (14.3,25.3)
+ | (-5,-12) | [(11,22),(33,44)] | (11,22)
+ | (10,10) | [(11,22),(33,44)] | (11,22)
+(30 rows)
+
+--
+-- Lines
+--
+--
+-- Boxes
+--
+SELECT '' as six, box(f1) AS box FROM CIRCLE_TBL;
+ six | box
+-----+----------------------------------------------------------------------------
+ | (2.12132034355964,2.12132034355964),(-2.12132034355964,-2.12132034355964)
+ | (71.7106781186547,72.7106781186547),(-69.7106781186547,-68.7106781186547)
+ | (4.53553390593274,6.53553390593274),(-2.53553390593274,-0.535533905932737)
+ | (3.12132034355964,4.12132034355964),(-1.12132034355964,-0.121320343559642)
+ | (107.071067811865,207.071067811865),(92.9289321881345,192.928932188135)
+ | (170.710678118655,70.7106781186547),(29.2893218813453,-70.7106781186547)
+(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)
+ | (0.0651176557643925,0),(0,-0.0483449262493217)
+ | (0.0976764836465887,-0.0241724631246608),(0.0325588278821962,-0.0725173893739825)
+ | (0.109762715208919,-0.0562379754328844),(0.0813970697054906,-0.0604311578116521)
+ | (0.0976764836465887,-0.0725173893739825),(0.0976764836465887,-0.0725173893739825)
+ | (-0,0.0828402366863905),(-0.201183431952663,0)
+ | (-0.100591715976331,0.124260355029586),(-0.301775147928994,0.0414201183431953)
+ | (-0.251479289940828,0.103550295857988),(-0.322485207100592,0.0739644970414201)
+ | (-0.301775147928994,0.124260355029586),(-0.301775147928994,0.124260355029586)
+ | (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
+ | (-10,0) | ((2,0),(2,4),(0,0)) | f
+ | (-3,4) | ((2,0),(2,4),(0,0)) | f
+ | (5.1,34.5) | ((2,0),(2,4),(0,0)) | f
+ | (-5,-12) | ((2,0),(2,4),(0,0)) | f
+ | (10,10) | ((2,0),(2,4),(0,0)) | f
+ | (0,0) | ((3,1),(3,3),(1,0)) | f
+ | (-10,0) | ((3,1),(3,3),(1,0)) | f
+ | (-3,4) | ((3,1),(3,3),(1,0)) | f
+ | (5.1,34.5) | ((3,1),(3,3),(1,0)) | f
+ | (-5,-12) | ((3,1),(3,3),(1,0)) | f
+ | (10,10) | ((3,1),(3,3),(1,0)) | f
+ | (0,0) | ((0,0)) | t
+ | (-10,0) | ((0,0)) | f
+ | (-3,4) | ((0,0)) | f
+ | (5.1,34.5) | ((0,0)) | f
+ | (-5,-12) | ((0,0)) | f
+ | (10,10) | ((0,0)) | f
+ | (0,0) | ((0,1),(0,1)) | f
+ | (-10,0) | ((0,1),(0,1)) | f
+ | (-3,4) | ((0,1),(0,1)) | f
+ | (5.1,34.5) | ((0,1),(0,1)) | f
+ | (-5,-12) | ((0,1),(0,1)) | 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
+ | (-10,0) | ((2,0),(2,4),(0,0)) | f
+ | (-3,4) | ((2,0),(2,4),(0,0)) | f
+ | (5.1,34.5) | ((2,0),(2,4),(0,0)) | f
+ | (-5,-12) | ((2,0),(2,4),(0,0)) | f
+ | (10,10) | ((2,0),(2,4),(0,0)) | f
+ | (0,0) | ((3,1),(3,3),(1,0)) | f
+ | (-10,0) | ((3,1),(3,3),(1,0)) | f
+ | (-3,4) | ((3,1),(3,3),(1,0)) | f
+ | (5.1,34.5) | ((3,1),(3,3),(1,0)) | f
+ | (-5,-12) | ((3,1),(3,3),(1,0)) | f
+ | (10,10) | ((3,1),(3,3),(1,0)) | f
+ | (0,0) | ((0,0)) | t
+ | (-10,0) | ((0,0)) | f
+ | (-3,4) | ((0,0)) | f
+ | (5.1,34.5) | ((0,0)) | f
+ | (-5,-12) | ((0,0)) | f
+ | (10,10) | ((0,0)) | f
+ | (0,0) | ((0,1),(0,1)) | f
+ | (-10,0) | ((0,1),(0,1)) | f
+ | (-3,4) | ((0,1),(0,1)) | f
+ | (5.1,34.5) | ((0,1),(0,1)) | f
+ | (-5,-12) | ((0,1),(0,1)) | 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
+-----+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
+ | ((-3,0),(-2.59807621135076,1.50000000000442),(-1.49999999999116,2.59807621135842),(1.53102359017709e-11,3),(1.50000000001768,2.59807621134311),(2.59807621136607,1.4999999999779),(3,-3.06204718035418e-11),(2.59807621133545,-1.50000000003094),(1.49999999996464,-2.59807621137373),(-4.59307077053127e-11,-3),(-1.5000000000442,-2.5980762113278),(-2.59807621138138,-1.49999999995138))
+ | ((-99,2),(-85.6025403783588,52.0000000001473),(-48.9999999997054,88.602540378614),(1.00000000051034,102),(51.0000000005893,88.6025403781036),(87.6025403788692,51.9999999992634),(101,1.99999999897932),(87.6025403778485,-48.0000000010313),(50.9999999988214,-84.6025403791243),(0.999999998468976,-98),(-49.0000000014732,-84.6025403775933),(-85.6025403793795,-47.9999999983795))
+ | ((-4,3),(-3.33012701891794,5.50000000000737),(-1.49999999998527,7.3301270189307),(1.00000000002552,8),(3.50000000002946,7.33012701890518),(5.33012701894346,5.49999999996317),(6,2.99999999994897),(5.33012701889242,0.499999999948437),(3.49999999994107,-1.33012701895622),(0.999999999923449,-2),(-1.50000000007366,-1.33012701887966),(-3.33012701896897,0.500000000081027))
+ | ((-2,2),(-1.59807621135076,3.50000000000442),(-0.499999999991161,4.59807621135842),(1.00000000001531,5),(2.50000000001768,4.59807621134311),(3.59807621136607,3.4999999999779),(4,1.99999999996938),(3.59807621133545,0.499999999969062),(2.49999999996464,-0.598076211373729),(0.999999999954069,-1),(-0.500000000044197,-0.598076211327799),(-1.59807621138138,0.500000000048616))
+ | ((90,200),(91.3397459621641,205.000000000015),(95.0000000000295,208.660254037861),(100.000000000051,210),(105.000000000059,208.66025403781),(108.660254037887,204.999999999926),(110,199.999999999898),(108.660254037785,194.999999999897),(104.999999999882,191.339745962088),(99.9999999998469,190),(94.9999999998527,191.339745962241),(91.3397459620621,195.000000000162))
+ | ((0,0),(13.3974596216412,50.0000000001473),(50.0000000002946,86.602540378614),(100.00000000051,100),(150.000000000589,86.6025403781036),(186.602540378869,49.9999999992634),(200,-1.02068239345139e-09),(186.602540377848,-50.0000000010313),(149.999999998821,-86.6025403791243),(99.999999998469,-100),(49.9999999985268,-86.6025403775933),(13.3974596206205,-49.9999999983795))
+(6 rows)
+
+-- convert the circle to an 8-point polygon
+SELECT '' AS six, polygon(8, f1)
+ FROM CIRCLE_TBL;
+ six | polygon
+-----+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
+ | ((-3,0),(-2.12132034355423,2.12132034356506),(1.53102359017709e-11,3),(2.12132034357588,2.1213203435434),(3,-3.06204718035418e-11),(2.12132034353258,-2.12132034358671),(-4.59307077053127e-11,-3),(-2.12132034359753,-2.12132034352175))
+ | ((-99,2),(-69.7106781184743,72.7106781188352),(1.00000000051034,102),(71.710678119196,72.7106781181135),(101,1.99999999897932),(71.7106781177526,-68.7106781195569),(0.999999998468976,-98),(-69.7106781199178,-68.7106781173917))
+ | ((-4,3),(-2.53553390592372,6.53553390594176),(1.00000000002552,8),(4.5355339059598,6.53553390590567),(6,2.99999999994897),(4.53553390588763,-0.535533905977846),(0.999999999923449,-2),(-2.53553390599589,-0.535533905869586))
+ | ((-2,2),(-1.12132034355423,4.12132034356506),(1.00000000001531,5),(3.12132034357588,4.1213203435434),(4,1.99999999996938),(3.12132034353258,-0.121320343586707),(0.999999999954069,-1),(-1.12132034359753,-0.121320343521752))
+ | ((90,200),(92.9289321881526,207.071067811884),(100.000000000051,210),(107.07106781192,207.071067811811),(110,199.999999999898),(107.071067811775,192.928932188044),(99.9999999998469,190),(92.9289321880082,192.928932188261))
+ | ((0,0),(29.2893218815257,70.7106781188352),(100.00000000051,100),(170.710678119196,70.7106781181135),(200,-1.02068239345139e-09),(170.710678117753,-70.7106781195569),(99.999999998469,-100),(29.2893218800822,-70.7106781173917))
+(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),1.4142135623731>
+ | <(2,2),1.4142135623731>
+ | <(2.5,3),0.5>
+ | <(3,3),0>
+(4 rows)
+
+SELECT '' AS two, circle(f1)
+ FROM POLYGON_TBL
+ WHERE (# f1) >= 3;
+ two | circle
+-----+--------------------------------------------------------
+ | <(1.33333333333333,1.33333333333333),2.04168905063636>
+ | <(2.33333333333333,1.33333333333333),1.47534300379185>
+(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, point using <<;
+ twentyfour | circle | point | distance
+------------+----------------+------------+------------------
+ | <(100,0),100> | (5.1,34.5) | 0.97653192697797
+ | <(1,2),3> | (-3,4) | 1.47213595499958
+ | <(0,0),3> | (-3,4) | 2
+ | <(100,0),100> | (-3,4) | 3.07764064044152
+ | <(100,0),100> | (-5,-12) | 5.68348972285122
+ | <(1,3),5> | (-10,0) | 6.40175425099138
+ | <(1,3),5> | (10,10) | 6.40175425099138
+ | <(0,0),3> | (-10,0) | 7
+ | <(1,2),3> | (-10,0) | 8.18033988749895
+ | <(1,2),3> | (10,10) | 9.0415945787923
+ | <(0,0),3> | (-5,-12) | 10
+ | <(100,0),100> | (-10,0) | 10
+ | <(0,0),3> | (10,10) | 11.142135623731
+ | <(1,3),5> | (-5,-12) | 11.1554944214035
+ | <(1,2),3> | (-5,-12) | 12.2315462117278
+ | <(1,3),5> | (5.1,34.5) | 26.7657047773223
+ | <(1,2),3> | (5.1,34.5) | 29.757594539282
+ | <(0,0),3> | (5.1,34.5) | 31.8749193547455
+ | <(100,200),10> | (5.1,34.5) | 180.778038568384
+ | <(100,200),10> | (10,10) | 200.237960416286
+ | <(100,200),10> | (-3,4) | 211.415898254845
+ | <(100,200),10> | (0,0) | 213.606797749979
+ | <(100,200),10> | (-10,0) | 218.254244210267
+ | <(100,200),10> | (-5,-12) | 226.577682802077
+(24 rows)
+
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