Morning all ...
Everything else has a matching entry that I could add to
resultmap, except this one ...
Marc G. Fournier ICQ#7615664 IRC Nick: Scrappy
Systems Administrator @ hub.org
primary: scrappy@hub.org secondary: scrappy@{freebsd|postgresql}.org
---------- Forwarded message ----------
Date: Fri, 7 Apr 2000 16:01:23 -0300 (ADT)
From: marc@acadiau.ca
To: scrappy@hub.org
Subject: geometry
--
-- 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)] | (-9.99715942258202,15.3864610140473)
| (-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)
| (71.7106781186548,72.7106781186548),(-69.7106781186548,-68.7106781186548)
| (4.53553390593274,6.53553390593274),(-2.53553390593274,-0.535533905932738)
| (3.12132034355964,4.12132034355964),(-1.12132034355964,-0.121320343559642)
| (107.071067811865,207.071067811865),(92.9289321881345,192.928932188135)
| (170.710678118655,70.7106781186548),(29.2893218813452,-70.7106781186548)
(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),(-3.33012701896897,0.500000000081028))
|
((-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,-0.59807621137373),(0.999999999954069,-1),(-0.500000000044197,-0.598076211327799),(-1.59807621138138,0.500000000048617))
|
((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),(71.710678119196,72.7106781181134),(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),(170.710678119196,70.7106781181134),(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) | 0.976531926977965
| <(1,2),3> | (-3,4) | 1.47213595499958
| <(0,0),3> | (-3,4) | 2
| <(100,0),100> | (-3,4) | 3.07764064044151
| <(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)
