Improve test coverage of geometric types
authorTomas Vondra <tomas.vondra@postgresql.org>
Wed, 26 Sep 2018 08:45:21 +0000 (10:45 +0200)
committerTomas Vondra <tomas.vondra@postgresql.org>
Wed, 26 Sep 2018 08:45:21 +0000 (10:45 +0200)
This commit significantly increases test coverage of geo_ops.c, adding
tests for various issues addressed by 2e2a392de3 (which went undetected
for a long time, at least partially due to not being covered).

This also removes alternative results expecting -0 on some platforms.
Instead the functions are should return the same results everywhere,
transforming -0 to 0 if needed.

The tests are added to geometric.sql file, sorted by the left hand side
of the operators. There are many cross datatype operators, so this seems
like the best solution.

Author: Emre Hasegeli
Reviewed-by: Tomas Vondra
Discussion: https://www.postgresql.org/message-id/CAE2gYzxF7-5djV6-cEvqQu-fNsnt%3DEqbOURx7ZDg%2BVv6ZMTWbg%40mail.gmail.com

19 files changed:
src/test/regress/expected/box.out
src/test/regress/expected/circle.out
src/test/regress/expected/create_index.out
src/test/regress/expected/geometry.out
src/test/regress/expected/geometry_1.out
src/test/regress/expected/geometry_2.out [deleted file]
src/test/regress/expected/line.out
src/test/regress/expected/lseg.out
src/test/regress/expected/path.out
src/test/regress/expected/point.out
src/test/regress/expected/polygon.out
src/test/regress/sql/box.sql
src/test/regress/sql/circle.sql
src/test/regress/sql/geometry.sql
src/test/regress/sql/line.sql
src/test/regress/sql/lseg.sql
src/test/regress/sql/path.sql
src/test/regress/sql/point.sql
src/test/regress/sql/polygon.sql

index 49af242c8ce7f45e560808f1e3f4997216440078..998b52223cbcc94801c10cd9eab19d0ba77e7d12 100644 (file)
@@ -18,6 +18,7 @@
 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)');
@@ -27,6 +28,18 @@ 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');
@@ -36,9 +49,10 @@ SELECT '' AS four, * FROM BOX_TBL;
 ------+---------------------
       | (2,2),(0,0)
       | (3,3),(1,1)
+      | (-2,2),(-8,-10)
       | (2.5,3.5),(2.5,2.5)
       | (3,3),(3,3)
-(4 rows)
+(5 rows)
 
 SELECT '' AS four, b.*, area(b.f1) as barea
    FROM BOX_TBL b;
@@ -46,9 +60,10 @@ SELECT '' AS four, b.*, area(b.f1) as 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
-(4 rows)
+(5 rows)
 
 -- overlap
 SELECT '' AS three, b.f1
@@ -68,8 +83,9 @@ SELECT '' AS two, b1.*
  two |         f1          
 -----+---------------------
      | (2,2),(0,0)
+     | (-2,2),(-8,-10)
      | (2.5,3.5),(2.5,2.5)
-(2 rows)
+(3 rows)
 
 -- right-or-overlap (x only)
 SELECT '' AS two, b1.*
@@ -88,8 +104,9 @@ SELECT '' AS two, b.f1
  two |         f1          
 -----+---------------------
      | (2,2),(0,0)
+     | (-2,2),(-8,-10)
      | (2.5,3.5),(2.5,2.5)
-(2 rows)
+(3 rows)
 
 -- area <=
 SELECT '' AS four, b.f1
@@ -127,11 +144,12 @@ SELECT '' AS two, b.f1
 SELECT '' AS two, b.f1
    FROM BOX_TBL b              -- zero area
    WHERE b.f1 > box '(3.5,3.0,4.5,3.0)';
- two |     f1      
------+-------------
+ two |       f1        
+-----+-----------------
      | (2,2),(0,0)
      | (3,3),(1,1)
-(2 rows)
+     | (-2,2),(-8,-10)
+(3 rows)
 
 -- area >=
 SELECT '' AS four, b.f1
@@ -141,9 +159,10 @@ SELECT '' AS four, b.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)
-(4 rows)
+(5 rows)
 
 -- right of
 SELECT '' AS two, b.f1
@@ -152,8 +171,9 @@ SELECT '' AS two, b.f1
  two |         f1          
 -----+---------------------
      | (2,2),(0,0)
+     | (-2,2),(-8,-10)
      | (2.5,3.5),(2.5,2.5)
-(2 rows)
+(3 rows)
 
 -- contained in
 SELECT '' AS three, b.f1
@@ -193,9 +213,10 @@ SELECT '' AS four, @@(b1.f1) AS p
 ------+---------
       | (1,1)
       | (2,2)
+      | (-5,-4)
       | (2.5,3)
       | (3,3)
-(4 rows)
+(5 rows)
 
 -- wholly-contained
 SELECT '' AS one, b1.*, b2.*
@@ -211,9 +232,10 @@ SELECT '' AS four, height(f1), width(f1) FROM BOX_TBL;
 ------+--------+-------
       |      2 |     2
       |      2 |     2
+      |     12 |     6
       |      1 |     0
       |      0 |     0
-(4 rows)
+(5 rows)
 
 --
 -- Test the SP-GiST index
index 9ba4a0495d28cd900196e857d64307e1bb47ffdf..2ed74cc6aaf1ee135455ec5648bea81c0c685c0d 100644 (file)
@@ -7,12 +7,22 @@ INSERT INTO CIRCLE_TBL VALUES ('<(1,2),100>');
 INSERT INTO CIRCLE_TBL VALUES ('1,3,5');
 INSERT INTO CIRCLE_TBL VALUES ('((1,2),3)');
 INSERT INTO CIRCLE_TBL VALUES ('<(100,200),10>');
-INSERT INTO CIRCLE_TBL VALUES ('<(100,1),115>');
+INSERT INTO CIRCLE_TBL VALUES (' < ( 100 , 1 ) , 115 > ');
+INSERT INTO CIRCLE_TBL VALUES ('<(3,5),0>');   -- Zero radius
+INSERT INTO CIRCLE_TBL VALUES ('<(3,5),NaN>'); -- NaN radius
 -- bad values
 INSERT INTO CIRCLE_TBL VALUES ('<(-100,0),-100>');
 ERROR:  invalid input syntax for type circle: "<(-100,0),-100>"
 LINE 1: INSERT INTO CIRCLE_TBL VALUES ('<(-100,0),-100>');
                                        ^
+INSERT INTO CIRCLE_TBL VALUES ('<(100,200),10');
+ERROR:  invalid input syntax for type circle: "<(100,200),10"
+LINE 1: INSERT INTO CIRCLE_TBL VALUES ('<(100,200),10');
+                                       ^
+INSERT INTO CIRCLE_TBL VALUES ('<(100,200),10> x');
+ERROR:  invalid input syntax for type circle: "<(100,200),10> x"
+LINE 1: INSERT INTO CIRCLE_TBL VALUES ('<(100,200),10> x');
+                                       ^
 INSERT INTO CIRCLE_TBL VALUES ('1abc,3,5');
 ERROR:  invalid input syntax for type circle: "1abc,3,5"
 LINE 1: INSERT INTO CIRCLE_TBL VALUES ('1abc,3,5');
@@ -30,7 +40,9 @@ SELECT * FROM CIRCLE_TBL;
  <(1,2),3>
  <(100,200),10>
  <(100,1),115>
-(6 rows)
+ <(3,5),0>
+ <(3,5),NaN>
+(8 rows)
 
 SELECT '' AS six, center(f1) AS center
   FROM CIRCLE_TBL;
@@ -42,7 +54,9 @@ SELECT '' AS six, center(f1) AS center
      | (1,2)
      | (100,200)
      | (100,1)
-(6 rows)
+     | (3,5)
+     | (3,5)
+(8 rows)
 
 SELECT '' AS six, radius(f1) AS radius
   FROM CIRCLE_TBL;
@@ -54,7 +68,9 @@ SELECT '' AS six, radius(f1) AS radius
      |      3
      |     10
      |    115
-(6 rows)
+     |      0
+     |    NaN
+(8 rows)
 
 SELECT '' AS six, diameter(f1) AS diameter
   FROM CIRCLE_TBL;
@@ -66,14 +82,17 @@ SELECT '' AS six, diameter(f1) AS diameter
      |        6
      |       20
      |      230
-(6 rows)
+     |        0
+     |      NaN
+(8 rows)
 
 SELECT '' AS two, f1 FROM CIRCLE_TBL WHERE radius(f1) < 5;
  two |    f1     
 -----+-----------
      | <(5,1),3>
      | <(1,2),3>
-(2 rows)
+     | <(3,5),0>
+(3 rows)
 
 SELECT '' AS four, f1 FROM CIRCLE_TBL WHERE diameter(f1) >= 10;
  four |       f1       
@@ -82,7 +101,8 @@ SELECT '' AS four, f1 FROM CIRCLE_TBL WHERE diameter(f1) >= 10;
       | <(1,3),5>
       | <(100,200),10>
       | <(100,1),115>
-(4 rows)
+      | <(3,5),NaN>
+(5 rows)
 
 SELECT '' as five, c1.f1 AS one, c2.f1 AS two, (c1.f1 <-> c2.f1) AS distance
   FROM CIRCLE_TBL c1, CIRCLE_TBL c2
@@ -90,10 +110,13 @@ SELECT '' as five, c1.f1 AS one, c2.f1 AS two, (c1.f1 <-> c2.f1) AS distance
   ORDER BY distance, area(c1.f1), area(c2.f1);
  five |      one       |      two       |     distance     
 ------+----------------+----------------+------------------
+      | <(3,5),0>      | <(1,2),3>      | 0.60555127546399
+      | <(3,5),0>      | <(5,1),3>      | 1.47213595499958
       | <(100,200),10> | <(100,1),115>  |               74
       | <(100,200),10> | <(1,2),100>    | 111.370729772479
       | <(1,3),5>      | <(100,200),10> | 205.476756144497
       | <(5,1),3>      | <(100,200),10> |  207.51303816328
+      | <(3,5),0>      | <(100,200),10> | 207.793480159531
       | <(1,2),3>      | <(100,200),10> | 208.370729772479
-(5 rows)
+(8 rows)
 
index 0065e325c2b9cd5ed93c5dcf648d1b5a61e8678e..297535bb8fd56021b3e7e1d90f152644b377c1dd 100644 (file)
@@ -157,7 +157,7 @@ SELECT count(*) FROM point_tbl WHERE box '(0,0,100,100)' @> f1;
 SELECT count(*) FROM point_tbl WHERE f1 <@ polygon '(0,0),(0,100),(100,100),(50,50),(100,0),(0,0)';
  count 
 -------
-     3
+     5
 (1 row)
 
 SELECT count(*) FROM point_tbl WHERE f1 <@ circle '<(50,50),50>';
@@ -175,7 +175,7 @@ SELECT count(*) FROM point_tbl p WHERE p.f1 << '(0.0, 0.0)';
 SELECT count(*) FROM point_tbl p WHERE p.f1 >> '(0.0, 0.0)';
  count 
 -------
-     2
+     3
 (1 row)
 
 SELECT count(*) FROM point_tbl p WHERE p.f1 <^ '(0.0, 0.0)';
@@ -187,7 +187,7 @@ SELECT count(*) FROM point_tbl p WHERE p.f1 <^ '(0.0, 0.0)';
 SELECT count(*) FROM point_tbl p WHERE p.f1 >^ '(0.0, 0.0)';
  count 
 -------
-     3
+     4
 (1 row)
 
 SELECT count(*) FROM point_tbl p WHERE p.f1 ~= '(-5, -12)';
@@ -197,16 +197,19 @@ SELECT count(*) FROM point_tbl p WHERE p.f1 ~= '(-5, -12)';
 (1 row)
 
 SELECT * FROM point_tbl ORDER BY f1 <-> '0,1';
-     f1     
-------------
+        f1         
+-------------------
  (0,0)
+ (1e-300,-1e-300)
  (-3,4)
  (-10,0)
  (10,10)
  (-5,-12)
  (5.1,34.5)
+ (1e+300,Infinity)
+ (NaN,NaN)
  
-(7 rows)
+(10 rows)
 
 SELECT * FROM point_tbl WHERE f1 IS NULL;
  f1 
@@ -215,24 +218,28 @@ SELECT * FROM point_tbl WHERE f1 IS NULL;
 (1 row)
 
 SELECT * FROM point_tbl WHERE f1 IS NOT NULL ORDER BY f1 <-> '0,1';
-     f1     
-------------
+        f1         
+-------------------
+ (1e-300,-1e-300)
  (0,0)
  (-3,4)
  (-10,0)
  (10,10)
  (-5,-12)
  (5.1,34.5)
-(6 rows)
+ (1e+300,Infinity)
+ (NaN,NaN)
+(9 rows)
 
 SELECT * FROM point_tbl WHERE f1 <@ '(-10,-10),(10,10)':: box ORDER BY f1 <-> '0,1';
-   f1    
----------
+        f1        
+------------------
  (0,0)
+ (1e-300,-1e-300)
  (-3,4)
  (-10,0)
  (10,10)
-(4 rows)
+(5 rows)
 
 SELECT count(*) FROM quad_point_tbl WHERE p IS NULL;
  count 
@@ -583,7 +590,7 @@ SELECT count(*) FROM point_tbl WHERE f1 <@ polygon '(0,0),(0,100),(100,100),(50,
 SELECT count(*) FROM point_tbl WHERE f1 <@ polygon '(0,0),(0,100),(100,100),(50,50),(100,0),(0,0)';
  count 
 -------
-     3
+     4
 (1 row)
 
 EXPLAIN (COSTS OFF)
@@ -628,7 +635,7 @@ SELECT count(*) FROM point_tbl p WHERE p.f1 >> '(0.0, 0.0)';
 SELECT count(*) FROM point_tbl p WHERE p.f1 >> '(0.0, 0.0)';
  count 
 -------
-     2
+     3
 (1 row)
 
 EXPLAIN (COSTS OFF)
@@ -658,7 +665,7 @@ SELECT count(*) FROM point_tbl p WHERE p.f1 >^ '(0.0, 0.0)';
 SELECT count(*) FROM point_tbl p WHERE p.f1 >^ '(0.0, 0.0)';
  count 
 -------
-     3
+     4
 (1 row)
 
 EXPLAIN (COSTS OFF)
@@ -685,16 +692,19 @@ SELECT * FROM point_tbl ORDER BY f1 <-> '0,1';
 (2 rows)
 
 SELECT * FROM point_tbl ORDER BY f1 <-> '0,1';
-     f1     
-------------
+        f1         
+-------------------
+ (10,10)
+ (NaN,NaN)
  (0,0)
+ (1e-300,-1e-300)
  (-3,4)
  (-10,0)
- (10,10)
  (-5,-12)
  (5.1,34.5)
  
-(7 rows)
+ (1e+300,Infinity)
+(10 rows)
 
 EXPLAIN (COSTS OFF)
 SELECT * FROM point_tbl WHERE f1 IS NULL;
@@ -720,15 +730,18 @@ SELECT * FROM point_tbl WHERE f1 IS NOT NULL ORDER BY f1 <-> '0,1';
 (3 rows)
 
 SELECT * FROM point_tbl WHERE f1 IS NOT NULL ORDER BY f1 <-> '0,1';
-     f1     
-------------
+        f1         
+-------------------
+ (10,10)
+ (NaN,NaN)
  (0,0)
+ (1e-300,-1e-300)
  (-3,4)
  (-10,0)
- (10,10)
  (-5,-12)
  (5.1,34.5)
-(6 rows)
+ (1e+300,Infinity)
+(9 rows)
 
 EXPLAIN (COSTS OFF)
 SELECT * FROM point_tbl WHERE f1 <@ '(-10,-10),(10,10)':: box ORDER BY f1 <-> '0,1';
@@ -740,13 +753,14 @@ SELECT * FROM point_tbl WHERE f1 <@ '(-10,-10),(10,10)':: box ORDER BY f1 <-> '0
 (3 rows)
 
 SELECT * FROM point_tbl WHERE f1 <@ '(-10,-10),(10,10)':: box ORDER BY f1 <-> '0,1';
-   f1    
----------
+        f1        
+------------------
  (0,0)
+ (1e-300,-1e-300)
  (-3,4)
  (-10,0)
  (10,10)
-(4 rows)
+(5 rows)
 
 EXPLAIN (COSTS OFF)
 SELECT count(*) FROM quad_point_tbl WHERE p IS NULL;
@@ -1407,13 +1421,14 @@ SELECT * FROM point_tbl WHERE f1 <@ '(-10,-10),(10,10)':: box ORDER BY f1 <-> '0
 (6 rows)
 
 SELECT * FROM point_tbl WHERE f1 <@ '(-10,-10),(10,10)':: box ORDER BY f1 <-> '0,1';
-   f1    
----------
+        f1        
+------------------
  (0,0)
+ (1e-300,-1e-300)
  (-3,4)
  (-10,0)
  (10,10)
-(4 rows)
+(5 rows)
 
 EXPLAIN (COSTS OFF)
 SELECT count(*) FROM quad_point_tbl WHERE p IS NULL;
index e4c003904001622e279cb6d4152215df5dc3c855..055d32c0e24ed74130ef81b9da8bd3af53bcd57e 100644 (file)
@@ -13,9 +13,10 @@ SELECT '' AS four, center(f1) AS center
 ------+---------
       | (1,1)
       | (2,2)
+      | (-5,-4)
       | (2.5,3)
       | (3,3)
-(4 rows)
+(5 rows)
 
 SELECT '' AS four, (@@ f1) AS center
    FROM BOX_TBL;
@@ -23,9 +24,10 @@ SELECT '' AS four, (@@ f1) AS center
 ------+---------
       | (1,1)
       | (2,2)
+      | (-5,-4)
       | (2.5,3)
       | (3,3)
-(4 rows)
+(5 rows)
 
 SELECT '' AS six, point(f1) AS center
    FROM CIRCLE_TBL;
@@ -37,7 +39,9 @@ SELECT '' AS six, point(f1) AS center
      | (1,2)
      | (100,200)
      | (100,1)
-(6 rows)
+     | (3,5)
+     | (3,5)
+(8 rows)
 
 SELECT '' AS six, (@@ f1) AS center
    FROM CIRCLE_TBL;
@@ -49,7 +53,9 @@ SELECT '' AS six, (@@ f1) AS center
      | (1,2)
      | (100,200)
      | (100,1)
-(6 rows)
+     | (3,5)
+     | (3,5)
+(8 rows)
 
 SELECT '' AS two, (@@ f1) AS center
    FROM POLYGON_TBL
@@ -58,27 +64,32 @@ SELECT '' AS two, (@@ f1) AS center
 -----+-------------------------------
      | (1.33333333333,1.33333333333)
      | (2.33333333333,1.33333333333)
-(2 rows)
+     | (4,5)
+     | (4,5)
+     | (4,3)
+(5 rows)
 
 -- "is horizontal" function
 SELECT '' AS two, p1.f1
    FROM POINT_TBL p1
    WHERE ishorizontal(p1.f1, point '(0,0)');
- two |   f1    
------+---------
+ two |        f1        
+-----+------------------
      | (0,0)
      | (-10,0)
-(2 rows)
+     | (1e-300,-1e-300)
+(3 rows)
 
 -- "is horizontal" operator
 SELECT '' AS two, p1.f1
    FROM POINT_TBL p1
    WHERE p1.f1 ?- point '(0,0)';
- two |   f1    
------+---------
+ two |        f1        
+-----+------------------
      | (0,0)
      | (-10,0)
-(2 rows)
+     | (1e-300,-1e-300)
+(3 rows)
 
 -- "is vertical" function
 SELECT '' AS one, p1.f1
@@ -98,6 +109,1453 @@ SELECT '' AS one, p1.f1
      | (5.1,34.5)
 (1 row)
 
+-- Slope
+SELECT p1.f1, p2.f1, slope(p1.f1, p2.f1) FROM POINT_TBL p1, POINT_TBL p2;
+        f1         |        f1         |       slope        
+-------------------+-------------------+--------------------
+ (0,0)             | (0,0)             | 1.79769313486e+308
+ (0,0)             | (-10,0)           |                  0
+ (0,0)             | (-3,4)            |     -1.33333333333
+ (0,0)             | (5.1,34.5)        |      6.76470588235
+ (0,0)             | (-5,-12)          |                2.4
+ (0,0)             | (1e-300,-1e-300)  | 1.79769313486e+308
+ (0,0)             | (1e+300,Infinity) |           Infinity
+ (0,0)             | (NaN,NaN)         |                NaN
+ (0,0)             | (10,10)           |                  1
+ (-10,0)           | (0,0)             |                  0
+ (-10,0)           | (-10,0)           | 1.79769313486e+308
+ (-10,0)           | (-3,4)            |     0.571428571429
+ (-10,0)           | (5.1,34.5)        |      2.28476821192
+ (-10,0)           | (-5,-12)          |               -2.4
+ (-10,0)           | (1e-300,-1e-300)  |                  0
+ (-10,0)           | (1e+300,Infinity) |           Infinity
+ (-10,0)           | (NaN,NaN)         |                NaN
+ (-10,0)           | (10,10)           |                0.5
+ (-3,4)            | (0,0)             |     -1.33333333333
+ (-3,4)            | (-10,0)           |     0.571428571429
+ (-3,4)            | (-3,4)            | 1.79769313486e+308
+ (-3,4)            | (5.1,34.5)        |      3.76543209877
+ (-3,4)            | (-5,-12)          |                  8
+ (-3,4)            | (1e-300,-1e-300)  |     -1.33333333333
+ (-3,4)            | (1e+300,Infinity) |           Infinity
+ (-3,4)            | (NaN,NaN)         |                NaN
+ (-3,4)            | (10,10)           |     0.461538461538
+ (5.1,34.5)        | (0,0)             |      6.76470588235
+ (5.1,34.5)        | (-10,0)           |      2.28476821192
+ (5.1,34.5)        | (-3,4)            |      3.76543209877
+ (5.1,34.5)        | (5.1,34.5)        | 1.79769313486e+308
+ (5.1,34.5)        | (-5,-12)          |      4.60396039604
+ (5.1,34.5)        | (1e-300,-1e-300)  |      6.76470588235
+ (5.1,34.5)        | (1e+300,Infinity) |           Infinity
+ (5.1,34.5)        | (NaN,NaN)         |                NaN
+ (5.1,34.5)        | (10,10)           |                 -5
+ (-5,-12)          | (0,0)             |                2.4
+ (-5,-12)          | (-10,0)           |               -2.4
+ (-5,-12)          | (-3,4)            |                  8
+ (-5,-12)          | (5.1,34.5)        |      4.60396039604
+ (-5,-12)          | (-5,-12)          | 1.79769313486e+308
+ (-5,-12)          | (1e-300,-1e-300)  |                2.4
+ (-5,-12)          | (1e+300,Infinity) |           Infinity
+ (-5,-12)          | (NaN,NaN)         |                NaN
+ (-5,-12)          | (10,10)           |      1.46666666667
+ (1e-300,-1e-300)  | (0,0)             | 1.79769313486e+308
+ (1e-300,-1e-300)  | (-10,0)           |                  0
+ (1e-300,-1e-300)  | (-3,4)            |     -1.33333333333
+ (1e-300,-1e-300)  | (5.1,34.5)        |      6.76470588235
+ (1e-300,-1e-300)  | (-5,-12)          |                2.4
+ (1e-300,-1e-300)  | (1e-300,-1e-300)  | 1.79769313486e+308
+ (1e-300,-1e-300)  | (1e+300,Infinity) |           Infinity
+ (1e-300,-1e-300)  | (NaN,NaN)         |                NaN
+ (1e-300,-1e-300)  | (10,10)           |                  1
+ (1e+300,Infinity) | (0,0)             |           Infinity
+ (1e+300,Infinity) | (-10,0)           |           Infinity
+ (1e+300,Infinity) | (-3,4)            |           Infinity
+ (1e+300,Infinity) | (5.1,34.5)        |           Infinity
+ (1e+300,Infinity) | (-5,-12)          |           Infinity
+ (1e+300,Infinity) | (1e-300,-1e-300)  |           Infinity
+ (1e+300,Infinity) | (1e+300,Infinity) | 1.79769313486e+308
+ (1e+300,Infinity) | (NaN,NaN)         |                NaN
+ (1e+300,Infinity) | (10,10)           |           Infinity
+ (NaN,NaN)         | (0,0)             |                NaN
+ (NaN,NaN)         | (-10,0)           |                NaN
+ (NaN,NaN)         | (-3,4)            |                NaN
+ (NaN,NaN)         | (5.1,34.5)        |                NaN
+ (NaN,NaN)         | (-5,-12)          |                NaN
+ (NaN,NaN)         | (1e-300,-1e-300)  |                NaN
+ (NaN,NaN)         | (1e+300,Infinity) |                NaN
+ (NaN,NaN)         | (NaN,NaN)         |                NaN
+ (NaN,NaN)         | (10,10)           |                NaN
+ (10,10)           | (0,0)             |                  1
+ (10,10)           | (-10,0)           |                0.5
+ (10,10)           | (-3,4)            |     0.461538461538
+ (10,10)           | (5.1,34.5)        |                 -5
+ (10,10)           | (-5,-12)          |      1.46666666667
+ (10,10)           | (1e-300,-1e-300)  |                  1
+ (10,10)           | (1e+300,Infinity) |           Infinity
+ (10,10)           | (NaN,NaN)         |                NaN
+ (10,10)           | (10,10)           | 1.79769313486e+308
+(81 rows)
+
+-- Add point
+SELECT p1.f1, p2.f1, p1.f1 + p2.f1 FROM POINT_TBL p1, POINT_TBL p2;
+        f1         |        f1         |     ?column?      
+-------------------+-------------------+-------------------
+ (0,0)             | (0,0)             | (0,0)
+ (0,0)             | (-10,0)           | (-10,0)
+ (0,0)             | (-3,4)            | (-3,4)
+ (0,0)             | (5.1,34.5)        | (5.1,34.5)
+ (0,0)             | (-5,-12)          | (-5,-12)
+ (0,0)             | (1e-300,-1e-300)  | (1e-300,-1e-300)
+ (0,0)             | (1e+300,Infinity) | (1e+300,Infinity)
+ (0,0)             | (NaN,NaN)         | (NaN,NaN)
+ (0,0)             | (10,10)           | (10,10)
+ (-10,0)           | (0,0)             | (-10,0)
+ (-10,0)           | (-10,0)           | (-20,0)
+ (-10,0)           | (-3,4)            | (-13,4)
+ (-10,0)           | (5.1,34.5)        | (-4.9,34.5)
+ (-10,0)           | (-5,-12)          | (-15,-12)
+ (-10,0)           | (1e-300,-1e-300)  | (-10,-1e-300)
+ (-10,0)           | (1e+300,Infinity) | (1e+300,Infinity)
+ (-10,0)           | (NaN,NaN)         | (NaN,NaN)
+ (-10,0)           | (10,10)           | (0,10)
+ (-3,4)            | (0,0)             | (-3,4)
+ (-3,4)            | (-10,0)           | (-13,4)
+ (-3,4)            | (-3,4)            | (-6,8)
+ (-3,4)            | (5.1,34.5)        | (2.1,38.5)
+ (-3,4)            | (-5,-12)          | (-8,-8)
+ (-3,4)            | (1e-300,-1e-300)  | (-3,4)
+ (-3,4)            | (1e+300,Infinity) | (1e+300,Infinity)
+ (-3,4)            | (NaN,NaN)         | (NaN,NaN)
+ (-3,4)            | (10,10)           | (7,14)
+ (5.1,34.5)        | (0,0)             | (5.1,34.5)
+ (5.1,34.5)        | (-10,0)           | (-4.9,34.5)
+ (5.1,34.5)        | (-3,4)            | (2.1,38.5)
+ (5.1,34.5)        | (5.1,34.5)        | (10.2,69)
+ (5.1,34.5)        | (-5,-12)          | (0.1,22.5)
+ (5.1,34.5)        | (1e-300,-1e-300)  | (5.1,34.5)
+ (5.1,34.5)        | (1e+300,Infinity) | (1e+300,Infinity)
+ (5.1,34.5)        | (NaN,NaN)         | (NaN,NaN)
+ (5.1,34.5)        | (10,10)           | (15.1,44.5)
+ (-5,-12)          | (0,0)             | (-5,-12)
+ (-5,-12)          | (-10,0)           | (-15,-12)
+ (-5,-12)          | (-3,4)            | (-8,-8)
+ (-5,-12)          | (5.1,34.5)        | (0.1,22.5)
+ (-5,-12)          | (-5,-12)          | (-10,-24)
+ (-5,-12)          | (1e-300,-1e-300)  | (-5,-12)
+ (-5,-12)          | (1e+300,Infinity) | (1e+300,Infinity)
+ (-5,-12)          | (NaN,NaN)         | (NaN,NaN)
+ (-5,-12)          | (10,10)           | (5,-2)
+ (1e-300,-1e-300)  | (0,0)             | (1e-300,-1e-300)
+ (1e-300,-1e-300)  | (-10,0)           | (-10,-1e-300)
+ (1e-300,-1e-300)  | (-3,4)            | (-3,4)
+ (1e-300,-1e-300)  | (5.1,34.5)        | (5.1,34.5)
+ (1e-300,-1e-300)  | (-5,-12)          | (-5,-12)
+ (1e-300,-1e-300)  | (1e-300,-1e-300)  | (2e-300,-2e-300)
+ (1e-300,-1e-300)  | (1e+300,Infinity) | (1e+300,Infinity)
+ (1e-300,-1e-300)  | (NaN,NaN)         | (NaN,NaN)
+ (1e-300,-1e-300)  | (10,10)           | (10,10)
+ (1e+300,Infinity) | (0,0)             | (1e+300,Infinity)
+ (1e+300,Infinity) | (-10,0)           | (1e+300,Infinity)
+ (1e+300,Infinity) | (-3,4)            | (1e+300,Infinity)
+ (1e+300,Infinity) | (5.1,34.5)        | (1e+300,Infinity)
+ (1e+300,Infinity) | (-5,-12)          | (1e+300,Infinity)
+ (1e+300,Infinity) | (1e-300,-1e-300)  | (1e+300,Infinity)
+ (1e+300,Infinity) | (1e+300,Infinity) | (2e+300,Infinity)
+ (1e+300,Infinity) | (NaN,NaN)         | (NaN,NaN)
+ (1e+300,Infinity) | (10,10)           | (1e+300,Infinity)
+ (NaN,NaN)         | (0,0)             | (NaN,NaN)
+ (NaN,NaN)         | (-10,0)           | (NaN,NaN)
+ (NaN,NaN)         | (-3,4)            | (NaN,NaN)
+ (NaN,NaN)         | (5.1,34.5)        | (NaN,NaN)
+ (NaN,NaN)         | (-5,-12)          | (NaN,NaN)
+ (NaN,NaN)         | (1e-300,-1e-300)  | (NaN,NaN)
+ (NaN,NaN)         | (1e+300,Infinity) | (NaN,NaN)
+ (NaN,NaN)         | (NaN,NaN)         | (NaN,NaN)
+ (NaN,NaN)         | (10,10)           | (NaN,NaN)
+ (10,10)           | (0,0)             | (10,10)
+ (10,10)           | (-10,0)           | (0,10)
+ (10,10)           | (-3,4)            | (7,14)
+ (10,10)           | (5.1,34.5)        | (15.1,44.5)
+ (10,10)           | (-5,-12)          | (5,-2)
+ (10,10)           | (1e-300,-1e-300)  | (10,10)
+ (10,10)           | (1e+300,Infinity) | (1e+300,Infinity)
+ (10,10)           | (NaN,NaN)         | (NaN,NaN)
+ (10,10)           | (10,10)           | (20,20)
+(81 rows)
+
+-- Subtract point
+SELECT p1.f1, p2.f1, p1.f1 - p2.f1 FROM POINT_TBL p1, POINT_TBL p2;
+        f1         |        f1         |      ?column?       
+-------------------+-------------------+---------------------
+ (0,0)             | (0,0)             | (0,0)
+ (0,0)             | (-10,0)           | (10,0)
+ (0,0)             | (-3,4)            | (3,-4)
+ (0,0)             | (5.1,34.5)        | (-5.1,-34.5)
+ (0,0)             | (-5,-12)          | (5,12)
+ (0,0)             | (1e-300,-1e-300)  | (-1e-300,1e-300)
+ (0,0)             | (1e+300,Infinity) | (-1e+300,-Infinity)
+ (0,0)             | (NaN,NaN)         | (NaN,NaN)
+ (0,0)             | (10,10)           | (-10,-10)
+ (-10,0)           | (0,0)             | (-10,0)
+ (-10,0)           | (-10,0)           | (0,0)
+ (-10,0)           | (-3,4)            | (-7,-4)
+ (-10,0)           | (5.1,34.5)        | (-15.1,-34.5)
+ (-10,0)           | (-5,-12)          | (-5,12)
+ (-10,0)           | (1e-300,-1e-300)  | (-10,1e-300)
+ (-10,0)           | (1e+300,Infinity) | (-1e+300,-Infinity)
+ (-10,0)           | (NaN,NaN)         | (NaN,NaN)
+ (-10,0)           | (10,10)           | (-20,-10)
+ (-3,4)            | (0,0)             | (-3,4)
+ (-3,4)            | (-10,0)           | (7,4)
+ (-3,4)            | (-3,4)            | (0,0)
+ (-3,4)            | (5.1,34.5)        | (-8.1,-30.5)
+ (-3,4)            | (-5,-12)          | (2,16)
+ (-3,4)            | (1e-300,-1e-300)  | (-3,4)
+ (-3,4)            | (1e+300,Infinity) | (-1e+300,-Infinity)
+ (-3,4)            | (NaN,NaN)         | (NaN,NaN)
+ (-3,4)            | (10,10)           | (-13,-6)
+ (5.1,34.5)        | (0,0)             | (5.1,34.5)
+ (5.1,34.5)        | (-10,0)           | (15.1,34.5)
+ (5.1,34.5)        | (-3,4)            | (8.1,30.5)
+ (5.1,34.5)        | (5.1,34.5)        | (0,0)
+ (5.1,34.5)        | (-5,-12)          | (10.1,46.5)
+ (5.1,34.5)        | (1e-300,-1e-300)  | (5.1,34.5)
+ (5.1,34.5)        | (1e+300,Infinity) | (-1e+300,-Infinity)
+ (5.1,34.5)        | (NaN,NaN)         | (NaN,NaN)
+ (5.1,34.5)        | (10,10)           | (-4.9,24.5)
+ (-5,-12)          | (0,0)             | (-5,-12)
+ (-5,-12)          | (-10,0)           | (5,-12)
+ (-5,-12)          | (-3,4)            | (-2,-16)
+ (-5,-12)          | (5.1,34.5)        | (-10.1,-46.5)
+ (-5,-12)          | (-5,-12)          | (0,0)
+ (-5,-12)          | (1e-300,-1e-300)  | (-5,-12)
+ (-5,-12)          | (1e+300,Infinity) | (-1e+300,-Infinity)
+ (-5,-12)          | (NaN,NaN)         | (NaN,NaN)
+ (-5,-12)          | (10,10)           | (-15,-22)
+ (1e-300,-1e-300)  | (0,0)             | (1e-300,-1e-300)
+ (1e-300,-1e-300)  | (-10,0)           | (10,-1e-300)
+ (1e-300,-1e-300)  | (-3,4)            | (3,-4)
+ (1e-300,-1e-300)  | (5.1,34.5)        | (-5.1,-34.5)
+ (1e-300,-1e-300)  | (-5,-12)          | (5,12)
+ (1e-300,-1e-300)  | (1e-300,-1e-300)  | (0,0)
+ (1e-300,-1e-300)  | (1e+300,Infinity) | (-1e+300,-Infinity)
+ (1e-300,-1e-300)  | (NaN,NaN)         | (NaN,NaN)
+ (1e-300,-1e-300)  | (10,10)           | (-10,-10)
+ (1e+300,Infinity) | (0,0)             | (1e+300,Infinity)
+ (1e+300,Infinity) | (-10,0)           | (1e+300,Infinity)
+ (1e+300,Infinity) | (-3,4)            | (1e+300,Infinity)
+ (1e+300,Infinity) | (5.1,34.5)        | (1e+300,Infinity)
+ (1e+300,Infinity) | (-5,-12)          | (1e+300,Infinity)
+ (1e+300,Infinity) | (1e-300,-1e-300)  | (1e+300,Infinity)
+ (1e+300,Infinity) | (1e+300,Infinity) | (0,NaN)
+ (1e+300,Infinity) | (NaN,NaN)         | (NaN,NaN)
+ (1e+300,Infinity) | (10,10)           | (1e+300,Infinity)
+ (NaN,NaN)         | (0,0)             | (NaN,NaN)
+ (NaN,NaN)         | (-10,0)           | (NaN,NaN)
+ (NaN,NaN)         | (-3,4)            | (NaN,NaN)
+ (NaN,NaN)         | (5.1,34.5)        | (NaN,NaN)
+ (NaN,NaN)         | (-5,-12)          | (NaN,NaN)
+ (NaN,NaN)         | (1e-300,-1e-300)  | (NaN,NaN)
+ (NaN,NaN)         | (1e+300,Infinity) | (NaN,NaN)
+ (NaN,NaN)         | (NaN,NaN)         | (NaN,NaN)
+ (NaN,NaN)         | (10,10)           | (NaN,NaN)
+ (10,10)           | (0,0)             | (10,10)
+ (10,10)           | (-10,0)           | (20,10)
+ (10,10)           | (-3,4)            | (13,6)
+ (10,10)           | (5.1,34.5)        | (4.9,-24.5)
+ (10,10)           | (-5,-12)          | (15,22)
+ (10,10)           | (1e-300,-1e-300)  | (10,10)
+ (10,10)           | (1e+300,Infinity) | (-1e+300,-Infinity)
+ (10,10)           | (NaN,NaN)         | (NaN,NaN)
+ (10,10)           | (10,10)           | (0,0)
+(81 rows)
+
+-- Multiply with point
+SELECT p1.f1, p2.f1, p1.f1 * p2.f1 FROM POINT_TBL p1, POINT_TBL p2 WHERE p1.f1[0] BETWEEN 1 AND 1000;
+     f1     |        f1         |       ?column?        
+------------+-------------------+-----------------------
+ (5.1,34.5) | (0,0)             | (0,0)
+ (10,10)    | (0,0)             | (0,0)
+ (5.1,34.5) | (-10,0)           | (-51,-345)
+ (10,10)    | (-10,0)           | (-100,-100)
+ (5.1,34.5) | (-3,4)            | (-153.3,-83.1)
+ (10,10)    | (-3,4)            | (-70,10)
+ (5.1,34.5) | (5.1,34.5)        | (-1164.24,351.9)
+ (10,10)    | (5.1,34.5)        | (-294,396)
+ (5.1,34.5) | (-5,-12)          | (388.5,-233.7)
+ (10,10)    | (-5,-12)          | (70,-170)
+ (5.1,34.5) | (1e-300,-1e-300)  | (3.96e-299,2.94e-299)
+ (10,10)    | (1e-300,-1e-300)  | (2e-299,0)
+ (5.1,34.5) | (1e+300,Infinity) | (-Infinity,Infinity)
+ (10,10)    | (1e+300,Infinity) | (-Infinity,Infinity)
+ (5.1,34.5) | (NaN,NaN)         | (NaN,NaN)
+ (10,10)    | (NaN,NaN)         | (NaN,NaN)
+ (5.1,34.5) | (10,10)           | (-294,396)
+ (10,10)    | (10,10)           | (0,200)
+(18 rows)
+
+-- Underflow error
+SELECT p1.f1, p2.f1, p1.f1 * p2.f1 FROM POINT_TBL p1, POINT_TBL p2 WHERE p1.f1[0] < 1;
+ERROR:  value out of range: underflow
+-- Divide by point
+SELECT p1.f1, p2.f1, p1.f1 / p2.f1 FROM POINT_TBL p1, POINT_TBL p2 WHERE p2.f1[0] BETWEEN 1 AND 1000;
+        f1         |     f1     |                 ?column?                  
+-------------------+------------+-------------------------------------------
+ (0,0)             | (5.1,34.5) | (0,0)
+ (0,0)             | (10,10)    | (0,0)
+ (-10,0)           | (5.1,34.5) | (-0.0419318237877,0.283656455034)
+ (-10,0)           | (10,10)    | (-0.5,0.5)
+ (-3,4)            | (5.1,34.5) | (0.100883034877,0.101869666025)
+ (-3,4)            | (10,10)    | (0.05,0.35)
+ (5.1,34.5)        | (5.1,34.5) | (1,0)
+ (5.1,34.5)        | (10,10)    | (1.98,1.47)
+ (-5,-12)          | (5.1,34.5) | (-0.361353657935,0.0915100389719)
+ (-5,-12)          | (10,10)    | (-0.85,-0.35)
+ (1e-300,-1e-300)  | (5.1,34.5) | (-2.41724631247e-302,-3.25588278822e-302)
+ (1e-300,-1e-300)  | (10,10)    | (0,-1e-301)
+ (1e+300,Infinity) | (5.1,34.5) | (Infinity,Infinity)
+ (1e+300,Infinity) | (10,10)    | (Infinity,Infinity)
+ (NaN,NaN)         | (5.1,34.5) | (NaN,NaN)
+ (NaN,NaN)         | (10,10)    | (NaN,NaN)
+ (10,10)           | (5.1,34.5) | (0.325588278822,-0.241724631247)
+ (10,10)           | (10,10)    | (1,0)
+(18 rows)
+
+-- Overflow error
+SELECT p1.f1, p2.f1, p1.f1 / p2.f1 FROM POINT_TBL p1, POINT_TBL p2 WHERE p2.f1[0] > 1000;
+ERROR:  value out of range: overflow
+-- Division by 0 error
+SELECT p1.f1, p2.f1, p1.f1 / p2.f1 FROM POINT_TBL p1, POINT_TBL p2 WHERE p2.f1 ~= '(0,0)'::point;
+ERROR:  division by zero
+-- Distance to line
+SELECT p.f1, l.s, p.f1 <-> l.s FROM POINT_TBL p, LINE_TBL l;
+        f1         |                   s                   |      ?column?      
+-------------------+---------------------------------------+--------------------
+ (0,0)             | {0,-1,5}                              |                  5
+ (0,0)             | {1,0,5}                               |                  5
+ (0,0)             | {0,3,0}                               |                  0
+ (0,0)             | {1,-1,0}                              |                  0
+ (0,0)             | {-0.4,-1,-6}                          |      5.57086014531
+ (0,0)             | {-0.000184615384615,-1,15.3846153846} |      15.3846151224
+ (0,0)             | {3,NaN,5}                             |                NaN
+ (0,0)             | {NaN,NaN,NaN}                         |                NaN
+ (0,0)             | {0,-1,3}                              |                  3
+ (0,0)             | {-1,0,3}                              |                  3
+ (-10,0)           | {0,-1,5}                              |                  5
+ (-10,0)           | {1,0,5}                               |                  5
+ (-10,0)           | {0,3,0}                               |                  0
+ (-10,0)           | {1,-1,0}                              |      7.07106781187
+ (-10,0)           | {-0.4,-1,-6}                          |      1.85695338177
+ (-10,0)           | {-0.000184615384615,-1,15.3846153846} |      15.3864612763
+ (-10,0)           | {3,NaN,5}                             |                NaN
+ (-10,0)           | {NaN,NaN,NaN}                         |                NaN
+ (-10,0)           | {0,-1,3}                              |                  3
+ (-10,0)           | {-1,0,3}                              |                 13
+ (-3,4)            | {0,-1,5}                              |                  1
+ (-3,4)            | {1,0,5}                               |                  2
+ (-3,4)            | {0,3,0}                               |                  4
+ (-3,4)            | {1,-1,0}                              |      4.94974746831
+ (-3,4)            | {-0.4,-1,-6}                          |      8.17059487979
+ (-3,4)            | {-0.000184615384615,-1,15.3846153846} |      11.3851690368
+ (-3,4)            | {3,NaN,5}                             |                NaN
+ (-3,4)            | {NaN,NaN,NaN}                         |                NaN
+ (-3,4)            | {0,-1,3}                              |                  1
+ (-3,4)            | {-1,0,3}                              |                  6
+ (5.1,34.5)        | {0,-1,5}                              |               29.5
+ (5.1,34.5)        | {1,0,5}                               |               10.1
+ (5.1,34.5)        | {0,3,0}                               |               34.5
+ (5.1,34.5)        | {1,-1,0}                              |      20.7889393669
+ (5.1,34.5)        | {-0.4,-1,-6}                          |      39.4973984303
+ (5.1,34.5)        | {-0.000184615384615,-1,15.3846153846} |      19.1163258281
+ (5.1,34.5)        | {3,NaN,5}                             |                NaN
+ (5.1,34.5)        | {NaN,NaN,NaN}                         |                NaN
+ (5.1,34.5)        | {0,-1,3}                              |               31.5
+ (5.1,34.5)        | {-1,0,3}                              |                2.1
+ (-5,-12)          | {0,-1,5}                              |                 17
+ (-5,-12)          | {1,0,5}                               |                  0
+ (-5,-12)          | {0,3,0}                               |                 12
+ (-5,-12)          | {1,-1,0}                              |      4.94974746831
+ (-5,-12)          | {-0.4,-1,-6}                          |      7.42781352708
+ (-5,-12)          | {-0.000184615384615,-1,15.3846153846} |      27.3855379948
+ (-5,-12)          | {3,NaN,5}                             |                NaN
+ (-5,-12)          | {NaN,NaN,NaN}                         |                NaN
+ (-5,-12)          | {0,-1,3}                              |                 15
+ (-5,-12)          | {-1,0,3}                              |                  8
+ (1e-300,-1e-300)  | {0,-1,5}                              |                  5
+ (1e-300,-1e-300)  | {1,0,5}                               |                  5
+ (1e-300,-1e-300)  | {0,3,0}                               |             1e-300
+ (1e-300,-1e-300)  | {1,-1,0}                              | 1.41421356237e-300
+ (1e-300,-1e-300)  | {-0.4,-1,-6}                          |      5.57086014531
+ (1e-300,-1e-300)  | {-0.000184615384615,-1,15.3846153846} |      15.3846151224
+ (1e-300,-1e-300)  | {3,NaN,5}                             |                NaN
+ (1e-300,-1e-300)  | {NaN,NaN,NaN}                         |                NaN
+ (1e-300,-1e-300)  | {0,-1,3}                              |                  3
+ (1e-300,-1e-300)  | {-1,0,3}                              |                  3
+ (1e+300,Infinity) | {0,-1,5}                              |           Infinity
+ (1e+300,Infinity) | {1,0,5}                               |                NaN
+ (1e+300,Infinity) | {0,3,0}                               |           Infinity
+ (1e+300,Infinity) | {1,-1,0}                              |           Infinity
+ (1e+300,Infinity) | {-0.4,-1,-6}                          |           Infinity
+ (1e+300,Infinity) | {-0.000184615384615,-1,15.3846153846} |           Infinity
+ (1e+300,Infinity) | {3,NaN,5}                             |                NaN
+ (1e+300,Infinity) | {NaN,NaN,NaN}                         |                NaN
+ (1e+300,Infinity) | {0,-1,3}                              |           Infinity
+ (1e+300,Infinity) | {-1,0,3}                              |                NaN
+ (NaN,NaN)         | {0,-1,5}                              |                NaN
+ (NaN,NaN)         | {1,0,5}                               |                NaN
+ (NaN,NaN)         | {0,3,0}                               |                NaN
+ (NaN,NaN)         | {1,-1,0}                              |                NaN
+ (NaN,NaN)         | {-0.4,-1,-6}                          |                NaN
+ (NaN,NaN)         | {-0.000184615384615,-1,15.3846153846} |                NaN
+ (NaN,NaN)         | {3,NaN,5}                             |                NaN
+ (NaN,NaN)         | {NaN,NaN,NaN}                         |                NaN
+ (NaN,NaN)         | {0,-1,3}                              |                NaN
+ (NaN,NaN)         | {-1,0,3}                              |                NaN
+ (10,10)           | {0,-1,5}                              |                  5
+ (10,10)           | {1,0,5}                               |                 15
+ (10,10)           | {0,3,0}                               |                 10
+ (10,10)           | {1,-1,0}                              |                  0
+ (10,10)           | {-0.4,-1,-6}                          |      18.5695338177
+ (10,10)           | {-0.000184615384615,-1,15.3846153846} |      5.38276913903
+ (10,10)           | {3,NaN,5}                             |                NaN
+ (10,10)           | {NaN,NaN,NaN}                         |                NaN
+ (10,10)           | {0,-1,3}                              |                  7
+ (10,10)           | {-1,0,3}                              |                  7
+(90 rows)
+
+-- Distance to line segment
+SELECT p.f1, l.s, p.f1 <-> l.s FROM POINT_TBL p, LSEG_TBL l;
+        f1         |               s               |      ?column?      
+-------------------+-------------------------------+--------------------
+ (0,0)             | [(1,2),(3,4)]                 |       2.2360679775
+ (0,0)             | [(0,0),(6,6)]                 |                  0
+ (0,0)             | [(10,-10),(-3,-4)]            |      4.88901207039
+ (0,0)             | [(-1000000,200),(300000,-40)] |      15.3846151224
+ (0,0)             | [(11,22),(33,44)]             |      24.5967477525
+ (0,0)             | [(-10,2),(-10,3)]             |      10.1980390272
+ (0,0)             | [(0,-20),(30,-20)]            |                 20
+ (0,0)             | [(NaN,1),(NaN,90)]            |                NaN
+ (-10,0)           | [(1,2),(3,4)]                 |      11.1803398875
+ (-10,0)           | [(0,0),(6,6)]                 |                 10
+ (-10,0)           | [(10,-10),(-3,-4)]            |       8.0622577483
+ (-10,0)           | [(-1000000,200),(300000,-40)] |      15.3864612763
+ (-10,0)           | [(11,22),(33,44)]             |      30.4138126515
+ (-10,0)           | [(-10,2),(-10,3)]             |                  2
+ (-10,0)           | [(0,-20),(30,-20)]            |       22.360679775
+ (-10,0)           | [(NaN,1),(NaN,90)]            |                NaN
+ (-3,4)            | [(1,2),(3,4)]                 |        4.472135955
+ (-3,4)            | [(0,0),(6,6)]                 |      4.94974746831
+ (-3,4)            | [(10,-10),(-3,-4)]            |                  8
+ (-3,4)            | [(-1000000,200),(300000,-40)] |      11.3851690367
+ (-3,4)            | [(11,22),(33,44)]             |       22.803508502
+ (-3,4)            | [(-10,2),(-10,3)]             |      7.07106781187
+ (-3,4)            | [(0,-20),(30,-20)]            |      24.1867732449
+ (-3,4)            | [(NaN,1),(NaN,90)]            |                NaN
+ (5.1,34.5)        | [(1,2),(3,4)]                 |      30.5722096028
+ (5.1,34.5)        | [(0,0),(6,6)]                 |      28.5142069853
+ (5.1,34.5)        | [(10,-10),(-3,-4)]            |      39.3428519556
+ (5.1,34.5)        | [(-1000000,200),(300000,-40)] |      19.1163258281
+ (5.1,34.5)        | [(11,22),(33,44)]             |      13.0107647738
+ (5.1,34.5)        | [(-10,2),(-10,3)]             |       34.932220084
+ (5.1,34.5)        | [(0,-20),(30,-20)]            |               54.5
+ (5.1,34.5)        | [(NaN,1),(NaN,90)]            |                NaN
+ (-5,-12)          | [(1,2),(3,4)]                 |      15.2315462117
+ (-5,-12)          | [(0,0),(6,6)]                 |                 13
+ (-5,-12)          | [(10,-10),(-3,-4)]            |      8.10179143093
+ (-5,-12)          | [(-1000000,200),(300000,-40)] |      27.3855379949
+ (-5,-12)          | [(11,22),(33,44)]             |      37.5765884561
+ (-5,-12)          | [(-10,2),(-10,3)]             |      14.8660687473
+ (-5,-12)          | [(0,-20),(30,-20)]            |      9.43398113206
+ (-5,-12)          | [(NaN,1),(NaN,90)]            |                NaN
+ (1e-300,-1e-300)  | [(1,2),(3,4)]                 |       2.2360679775
+ (1e-300,-1e-300)  | [(0,0),(6,6)]                 | 1.41421356237e-300
+ (1e-300,-1e-300)  | [(10,-10),(-3,-4)]            |      4.88901207039
+ (1e-300,-1e-300)  | [(-1000000,200),(300000,-40)] |      15.3846151224
+ (1e-300,-1e-300)  | [(11,22),(33,44)]             |      24.5967477525
+ (1e-300,-1e-300)  | [(-10,2),(-10,3)]             |      10.1980390272
+ (1e-300,-1e-300)  | [(0,-20),(30,-20)]            |                 20
+ (1e-300,-1e-300)  | [(NaN,1),(NaN,90)]            |                NaN
+ (1e+300,Infinity) | [(1,2),(3,4)]                 |           Infinity
+ (1e+300,Infinity) | [(0,0),(6,6)]                 |           Infinity
+ (1e+300,Infinity) | [(10,-10),(-3,-4)]            |           Infinity
+ (1e+300,Infinity) | [(-1000000,200),(300000,-40)] |           Infinity
+ (1e+300,Infinity) | [(11,22),(33,44)]             |           Infinity
+ (1e+300,Infinity) | [(-10,2),(-10,3)]             |           Infinity
+ (1e+300,Infinity) | [(0,-20),(30,-20)]            |           Infinity
+ (1e+300,Infinity) | [(NaN,1),(NaN,90)]            |           Infinity
+ (NaN,NaN)         | [(1,2),(3,4)]                 |                NaN
+ (NaN,NaN)         | [(0,0),(6,6)]                 |                NaN
+ (NaN,NaN)         | [(10,-10),(-3,-4)]            |                NaN
+ (NaN,NaN)         | [(-1000000,200),(300000,-40)] |                NaN
+ (NaN,NaN)         | [(11,22),(33,44)]             |                NaN
+ (NaN,NaN)         | [(-10,2),(-10,3)]             |                NaN
+ (NaN,NaN)         | [(0,-20),(30,-20)]            |                NaN
+ (NaN,NaN)         | [(NaN,1),(NaN,90)]            |                NaN
+ (10,10)           | [(1,2),(3,4)]                 |      9.21954445729
+ (10,10)           | [(0,0),(6,6)]                 |      5.65685424949
+ (10,10)           | [(10,-10),(-3,-4)]            |        18.15918769
+ (10,10)           | [(-1000000,200),(300000,-40)] |      5.38276913904
+ (10,10)           | [(11,22),(33,44)]             |      12.0415945788
+ (10,10)           | [(-10,2),(-10,3)]             |      21.1896201004
+ (10,10)           | [(0,-20),(30,-20)]            |                 30
+ (10,10)           | [(NaN,1),(NaN,90)]            |                NaN
+(72 rows)
+
+-- Distance to box
+SELECT p.f1, b.f1, p.f1 <-> b.f1 FROM POINT_TBL p, BOX_TBL b;
+        f1         |         f1          |      ?column?      
+-------------------+---------------------+--------------------
+ (0,0)             | (2,2),(0,0)         |                  0
+ (0,0)             | (3,3),(1,1)         |      1.41421356237
+ (0,0)             | (-2,2),(-8,-10)     |                  2
+ (0,0)             | (2.5,3.5),(2.5,2.5) |      3.53553390593
+ (0,0)             | (3,3),(3,3)         |      4.24264068712
+ (-10,0)           | (2,2),(0,0)         |                 10
+ (-10,0)           | (3,3),(1,1)         |      11.0453610172
+ (-10,0)           | (-2,2),(-8,-10)     |                  2
+ (-10,0)           | (2.5,3.5),(2.5,2.5) |       12.747548784
+ (-10,0)           | (3,3),(3,3)         |      13.3416640641
+ (-3,4)            | (2,2),(0,0)         |      3.60555127546
+ (-3,4)            | (3,3),(1,1)         |      4.12310562562
+ (-3,4)            | (-2,2),(-8,-10)     |                  2
+ (-3,4)            | (2.5,3.5),(2.5,2.5) |      5.52268050859
+ (-3,4)            | (3,3),(3,3)         |       6.0827625303
+ (5.1,34.5)        | (2,2),(0,0)         |      32.6475113906
+ (5.1,34.5)        | (3,3),(1,1)         |      31.5699223946
+ (5.1,34.5)        | (-2,2),(-8,-10)     |      33.2664996656
+ (5.1,34.5)        | (2.5,3.5),(2.5,2.5) |       31.108841187
+ (5.1,34.5)        | (3,3),(3,3)         |      31.5699223946
+ (-5,-12)          | (2,2),(0,0)         |                 13
+ (-5,-12)          | (3,3),(1,1)         |      14.3178210633
+ (-5,-12)          | (-2,2),(-8,-10)     |                  2
+ (-5,-12)          | (2.5,3.5),(2.5,2.5) |      16.3248277173
+ (-5,-12)          | (3,3),(3,3)         |                 17
+ (1e-300,-1e-300)  | (2,2),(0,0)         | 1.41421356237e-300
+ (1e-300,-1e-300)  | (3,3),(1,1)         |      1.41421356237
+ (1e-300,-1e-300)  | (-2,2),(-8,-10)     |                  2
+ (1e-300,-1e-300)  | (2.5,3.5),(2.5,2.5) |      3.53553390593
+ (1e-300,-1e-300)  | (3,3),(3,3)         |      4.24264068712
+ (1e+300,Infinity) | (2,2),(0,0)         |           Infinity
+ (1e+300,Infinity) | (3,3),(1,1)         |           Infinity
+ (1e+300,Infinity) | (-2,2),(-8,-10)     |           Infinity
+ (1e+300,Infinity) | (2.5,3.5),(2.5,2.5) |           Infinity
+ (1e+300,Infinity) | (3,3),(3,3)         |           Infinity
+ (NaN,NaN)         | (2,2),(0,0)         |                NaN
+ (NaN,NaN)         | (3,3),(1,1)         |                NaN
+ (NaN,NaN)         | (-2,2),(-8,-10)     |                NaN
+ (NaN,NaN)         | (2.5,3.5),(2.5,2.5) |                NaN
+ (NaN,NaN)         | (3,3),(3,3)         |                NaN
+ (10,10)           | (2,2),(0,0)         |       11.313708499
+ (10,10)           | (3,3),(1,1)         |      9.89949493661
+ (10,10)           | (-2,2),(-8,-10)     |      14.4222051019
+ (10,10)           | (2.5,3.5),(2.5,2.5) |      9.92471662064
+ (10,10)           | (3,3),(3,3)         |      9.89949493661
+(45 rows)
+
+-- Distance to path
+SELECT p.f1, p1.f1, p.f1 <-> p1.f1 FROM POINT_TBL p, PATH_TBL p1;
+        f1         |            f1             |      ?column?      
+-------------------+---------------------------+--------------------
+ (0,0)             | [(1,2),(3,4)]             |       2.2360679775
+ (0,0)             | ((1,2),(3,4))             |       2.2360679775
+ (0,0)             | [(0,0),(3,0),(4,5),(1,6)] |                  0
+ (0,0)             | ((1,2),(3,4))             |       2.2360679775
+ (0,0)             | ((1,2),(3,4))             |       2.2360679775
+ (0,0)             | [(1,2),(3,4)]             |       2.2360679775
+ (0,0)             | ((10,20))                 |       22.360679775
+ (0,0)             | [(11,12),(13,14)]         |      16.2788205961
+ (0,0)             | ((11,12),(13,14))         |      16.2788205961
+ (-10,0)           | [(1,2),(3,4)]             |      11.1803398875
+ (-10,0)           | ((1,2),(3,4))             |      11.1803398875
+ (-10,0)           | [(0,0),(3,0),(4,5),(1,6)] |                 10
+ (-10,0)           | ((1,2),(3,4))             |      11.1803398875
+ (-10,0)           | ((1,2),(3,4))             |      11.1803398875
+ (-10,0)           | [(1,2),(3,4)]             |      11.1803398875
+ (-10,0)           | ((10,20))                 |      28.2842712475
+ (-10,0)           | [(11,12),(13,14)]         |      24.1867732449
+ (-10,0)           | ((11,12),(13,14))         |      24.1867732449
+ (-3,4)            | [(1,2),(3,4)]             |        4.472135955
+ (-3,4)            | ((1,2),(3,4))             |        4.472135955
+ (-3,4)            | [(0,0),(3,0),(4,5),(1,6)] |        4.472135955
+ (-3,4)            | ((1,2),(3,4))             |        4.472135955
+ (-3,4)            | ((1,2),(3,4))             |        4.472135955
+ (-3,4)            | [(1,2),(3,4)]             |        4.472135955
+ (-3,4)            | ((10,20))                 |      20.6155281281
+ (-3,4)            | [(11,12),(13,14)]         |      16.1245154966
+ (-3,4)            | ((11,12),(13,14))         |      16.1245154966
+ (5.1,34.5)        | [(1,2),(3,4)]             |      30.5722096028
+ (5.1,34.5)        | ((1,2),(3,4))             |      30.5722096028
+ (5.1,34.5)        | [(0,0),(3,0),(4,5),(1,6)] |       28.793402022
+ (5.1,34.5)        | ((1,2),(3,4))             |      30.5722096028
+ (5.1,34.5)        | ((1,2),(3,4))             |      30.5722096028
+ (5.1,34.5)        | [(1,2),(3,4)]             |      30.5722096028
+ (5.1,34.5)        | ((10,20))                 |      15.3055545473
+ (5.1,34.5)        | [(11,12),(13,14)]         |      21.9695243462
+ (5.1,34.5)        | ((11,12),(13,14))         |      21.9695243462
+ (-5,-12)          | [(1,2),(3,4)]             |      15.2315462117
+ (-5,-12)          | ((1,2),(3,4))             |      15.2315462117
+ (-5,-12)          | [(0,0),(3,0),(4,5),(1,6)] |                 13
+ (-5,-12)          | ((1,2),(3,4))             |      15.2315462117
+ (-5,-12)          | ((1,2),(3,4))             |      15.2315462117
+ (-5,-12)          | [(1,2),(3,4)]             |      15.2315462117
+ (-5,-12)          | ((10,20))                 |      35.3411940941
+ (-5,-12)          | [(11,12),(13,14)]         |      28.8444102037
+ (-5,-12)          | ((11,12),(13,14))         |      28.8444102037
+ (1e-300,-1e-300)  | [(1,2),(3,4)]             |       2.2360679775
+ (1e-300,-1e-300)  | ((1,2),(3,4))             |       2.2360679775
+ (1e-300,-1e-300)  | [(0,0),(3,0),(4,5),(1,6)] | 1.41421356237e-300
+ (1e-300,-1e-300)  | ((1,2),(3,4))             |       2.2360679775
+ (1e-300,-1e-300)  | ((1,2),(3,4))             |       2.2360679775
+ (1e-300,-1e-300)  | [(1,2),(3,4)]             |       2.2360679775
+ (1e-300,-1e-300)  | ((10,20))                 |       22.360679775
+ (1e-300,-1e-300)  | [(11,12),(13,14)]         |      16.2788205961
+ (1e-300,-1e-300)  | ((11,12),(13,14))         |      16.2788205961
+ (1e+300,Infinity) | [(1,2),(3,4)]             |           Infinity
+ (1e+300,Infinity) | ((1,2),(3,4))             |           Infinity
+ (1e+300,Infinity) | [(0,0),(3,0),(4,5),(1,6)] |           Infinity
+ (1e+300,Infinity) | ((1,2),(3,4))             |           Infinity
+ (1e+300,Infinity) | ((1,2),(3,4))             |           Infinity
+ (1e+300,Infinity) | [(1,2),(3,4)]             |           Infinity
+ (1e+300,Infinity) | ((10,20))                 |           Infinity
+ (1e+300,Infinity) | [(11,12),(13,14)]         |           Infinity
+ (1e+300,Infinity) | ((11,12),(13,14))         |           Infinity
+ (NaN,NaN)         | [(1,2),(3,4)]             |                NaN
+ (NaN,NaN)         | ((1,2),(3,4))             |                NaN
+ (NaN,NaN)         | [(0,0),(3,0),(4,5),(1,6)] |                NaN
+ (NaN,NaN)         | ((1,2),(3,4))             |                NaN
+ (NaN,NaN)         | ((1,2),(3,4))             |                NaN
+ (NaN,NaN)         | [(1,2),(3,4)]             |                NaN
+ (NaN,NaN)         | ((10,20))                 |                NaN
+ (NaN,NaN)         | [(11,12),(13,14)]         |                NaN
+ (NaN,NaN)         | ((11,12),(13,14))         |                NaN
+ (10,10)           | [(1,2),(3,4)]             |      9.21954445729
+ (10,10)           | ((1,2),(3,4))             |      9.21954445729
+ (10,10)           | [(0,0),(3,0),(4,5),(1,6)] |      7.81024967591
+ (10,10)           | ((1,2),(3,4))             |      9.21954445729
+ (10,10)           | ((1,2),(3,4))             |      9.21954445729
+ (10,10)           | [(1,2),(3,4)]             |      9.21954445729
+ (10,10)           | ((10,20))                 |                 10
+ (10,10)           | [(11,12),(13,14)]         |       2.2360679775
+ (10,10)           | ((11,12),(13,14))         |       2.2360679775
+(81 rows)
+
+-- Distance to polygon
+SELECT p.f1, p1.f1, p.f1 <-> p1.f1 FROM POINT_TBL p, POLYGON_TBL p1;
+        f1         |             f1             |   ?column?    
+-------------------+----------------------------+---------------
+ (0,0)             | ((2,0),(2,4),(0,0))        |             0
+ (0,0)             | ((3,1),(3,3),(1,0))        |             1
+ (0,0)             | ((1,2),(3,4),(5,6),(7,8))  |  2.2360679775
+ (0,0)             | ((7,8),(5,6),(3,4),(1,2))  |  2.2360679775
+ (0,0)             | ((1,2),(7,8),(5,6),(3,-4)) | 1.58113883008
+ (0,0)             | ((0,0))                    |             0
+ (0,0)             | ((0,1),(0,1))              |             1
+ (-10,0)           | ((2,0),(2,4),(0,0))        |            10
+ (-10,0)           | ((3,1),(3,3),(1,0))        |            11
+ (-10,0)           | ((1,2),(3,4),(5,6),(7,8))  | 11.1803398875
+ (-10,0)           | ((7,8),(5,6),(3,4),(1,2))  | 11.1803398875
+ (-10,0)           | ((1,2),(7,8),(5,6),(3,-4)) | 11.1803398875
+ (-10,0)           | ((0,0))                    |            10
+ (-10,0)           | ((0,1),(0,1))              | 10.0498756211
+ (-3,4)            | ((2,0),(2,4),(0,0))        |   4.472135955
+ (-3,4)            | ((3,1),(3,3),(1,0))        | 5.54700196225
+ (-3,4)            | ((1,2),(3,4),(5,6),(7,8))  |   4.472135955
+ (-3,4)            | ((7,8),(5,6),(3,4),(1,2))  |   4.472135955
+ (-3,4)            | ((1,2),(7,8),(5,6),(3,-4)) |   4.472135955
+ (-3,4)            | ((0,0))                    |             5
+ (-3,4)            | ((0,1),(0,1))              | 4.24264068712
+ (5.1,34.5)        | ((2,0),(2,4),(0,0))        | 30.6571362002
+ (5.1,34.5)        | ((3,1),(3,3),(1,0))        | 31.5699223946
+ (5.1,34.5)        | ((1,2),(3,4),(5,6),(7,8))  | 26.5680258958
+ (5.1,34.5)        | ((7,8),(5,6),(3,4),(1,2))  | 26.5680258958
+ (5.1,34.5)        | ((1,2),(7,8),(5,6),(3,-4)) | 26.5680258958
+ (5.1,34.5)        | ((0,0))                    | 34.8749193547
+ (5.1,34.5)        | ((0,1),(0,1))              | 33.8859853037
+ (-5,-12)          | ((2,0),(2,4),(0,0))        |            13
+ (-5,-12)          | ((3,1),(3,3),(1,0))        |  13.416407865
+ (-5,-12)          | ((1,2),(3,4),(5,6),(7,8))  | 15.2315462117
+ (-5,-12)          | ((7,8),(5,6),(3,4),(1,2))  | 15.2315462117
+ (-5,-12)          | ((1,2),(7,8),(5,6),(3,-4)) |  11.313708499
+ (-5,-12)          | ((0,0))                    |            13
+ (-5,-12)          | ((0,1),(0,1))              | 13.9283882772
+ (1e-300,-1e-300)  | ((2,0),(2,4),(0,0))        |             0
+ (1e-300,-1e-300)  | ((3,1),(3,3),(1,0))        |             1
+ (1e-300,-1e-300)  | ((1,2),(3,4),(5,6),(7,8))  |  2.2360679775
+ (1e-300,-1e-300)  | ((7,8),(5,6),(3,4),(1,2))  |  2.2360679775
+ (1e-300,-1e-300)  | ((1,2),(7,8),(5,6),(3,-4)) | 1.58113883008
+ (1e-300,-1e-300)  | ((0,0))                    |             0
+ (1e-300,-1e-300)  | ((0,1),(0,1))              |             1
+ (1e+300,Infinity) | ((2,0),(2,4),(0,0))        |      Infinity
+ (1e+300,Infinity) | ((3,1),(3,3),(1,0))        |      Infinity
+ (1e+300,Infinity) | ((1,2),(3,4),(5,6),(7,8))  |      Infinity
+ (1e+300,Infinity) | ((7,8),(5,6),(3,4),(1,2))  |      Infinity
+ (1e+300,Infinity) | ((1,2),(7,8),(5,6),(3,-4)) |      Infinity
+ (1e+300,Infinity) | ((0,0))                    |      Infinity
+ (1e+300,Infinity) | ((0,1),(0,1))              |      Infinity
+ (NaN,NaN)         | ((2,0),(2,4),(0,0))        |             0
+ (NaN,NaN)         | ((3,1),(3,3),(1,0))        |             0
+ (NaN,NaN)         | ((1,2),(3,4),(5,6),(7,8))  |             0
+ (NaN,NaN)         | ((7,8),(5,6),(3,4),(1,2))  |             0
+ (NaN,NaN)         | ((1,2),(7,8),(5,6),(3,-4)) |             0
+ (NaN,NaN)         | ((0,0))                    |             0
+ (NaN,NaN)         | ((0,1),(0,1))              |             0
+ (10,10)           | ((2,0),(2,4),(0,0))        |            10
+ (10,10)           | ((3,1),(3,3),(1,0))        | 9.89949493661
+ (10,10)           | ((1,2),(3,4),(5,6),(7,8))  | 3.60555127546
+ (10,10)           | ((7,8),(5,6),(3,4),(1,2))  | 3.60555127546
+ (10,10)           | ((1,2),(7,8),(5,6),(3,-4)) | 3.60555127546
+ (10,10)           | ((0,0))                    | 14.1421356237
+ (10,10)           | ((0,1),(0,1))              | 13.4536240471
+(63 rows)
+
+-- Closest point to line
+SELECT p.f1, l.s, p.f1 ## l.s FROM POINT_TBL p, LINE_TBL l;
+        f1         |                   s                   |             ?column?             
+-------------------+---------------------------------------+----------------------------------
+ (0,0)             | {0,-1,5}                              | (0,5)
+ (0,0)             | {1,0,5}                               | (-5,0)
+ (0,0)             | {0,3,0}                               | (0,0)
+ (0,0)             | {1,-1,0}                              | (0,0)
+ (0,0)             | {-0.4,-1,-6}                          | (-2.06896551724,-5.1724137931)
+ (0,0)             | {-0.000184615384615,-1,15.3846153846} | (0.00284023658959,15.3846148603)
+ (0,0)             | {3,NaN,5}                             | 
+ (0,0)             | {NaN,NaN,NaN}                         | 
+ (0,0)             | {0,-1,3}                              | (0,3)
+ (0,0)             | {-1,0,3}                              | (3,0)
+ (-10,0)           | {0,-1,5}                              | (-10,5)
+ (-10,0)           | {1,0,5}                               | (-5,0)
+ (-10,0)           | {0,3,0}                               | (-10,0)
+ (-10,0)           | {1,-1,0}                              | (-5,-5)
+ (-10,0)           | {-0.4,-1,-6}                          | (-10.6896551724,-1.72413793103)
+ (-10,0)           | {-0.000184615384615,-1,15.3846153846} | (-9.99715942258,15.386461014)
+ (-10,0)           | {3,NaN,5}                             | 
+ (-10,0)           | {NaN,NaN,NaN}                         | 
+ (-10,0)           | {0,-1,3}                              | (-10,3)
+ (-10,0)           | {-1,0,3}                              | (3,0)
+ (-3,4)            | {0,-1,5}                              | (-3,5)
+ (-3,4)            | {1,0,5}                               | (-5,4)
+ (-3,4)            | {0,3,0}                               | (-3,0)
+ (-3,4)            | {1,-1,0}                              | (0.5,0.5)
+ (-3,4)            | {-0.4,-1,-6}                          | (-6.03448275862,-3.58620689655)
+ (-3,4)            | {-0.000184615384615,-1,15.3846153846} | (-2.99789812268,15.3851688427)
+ (-3,4)            | {3,NaN,5}                             | 
+ (-3,4)            | {NaN,NaN,NaN}                         | 
+ (-3,4)            | {0,-1,3}                              | (-3,3)
+ (-3,4)            | {-1,0,3}                              | (3,4)
+ (5.1,34.5)        | {0,-1,5}                              | (5.1,5)
+ (5.1,34.5)        | {1,0,5}                               | (-5,34.5)
+ (5.1,34.5)        | {0,3,0}                               | (5.1,0)
+ (5.1,34.5)        | {1,-1,0}                              | (19.8,19.8)
+ (5.1,34.5)        | {-0.4,-1,-6}                          | (-9.56896551724,-2.1724137931)
+ (5.1,34.5)        | {-0.000184615384615,-1,15.3846153846} | (5.09647083221,15.3836744977)
+ (5.1,34.5)        | {3,NaN,5}                             | 
+ (5.1,34.5)        | {NaN,NaN,NaN}                         | 
+ (5.1,34.5)        | {0,-1,3}                              | (5.1,3)
+ (5.1,34.5)        | {-1,0,3}                              | (3,34.5)
+ (-5,-12)          | {0,-1,5}                              | (-5,5)
+ (-5,-12)          | {1,0,5}                               | (-5,-12)
+ (-5,-12)          | {0,3,0}                               | (-5,0)
+ (-5,-12)          | {1,-1,0}                              | (-8.5,-8.5)
+ (-5,-12)          | {-0.4,-1,-6}                          | (-2.24137931034,-5.10344827586)
+ (-5,-12)          | {-0.000184615384615,-1,15.3846153846} | (-4.99494420846,15.3855375282)
+ (-5,-12)          | {3,NaN,5}                             | 
+ (-5,-12)          | {NaN,NaN,NaN}                         | 
+ (-5,-12)          | {0,-1,3}                              | (-5,3)
+ (-5,-12)          | {-1,0,3}                              | (3,-12)
+ (1e-300,-1e-300)  | {0,-1,5}                              | (1e-300,5)
+ (1e-300,-1e-300)  | {1,0,5}                               | (-5,-1e-300)
+ (1e-300,-1e-300)  | {0,3,0}                               | (1e-300,0)
+ (1e-300,-1e-300)  | {1,-1,0}                              | (0,0)
+ (1e-300,-1e-300)  | {-0.4,-1,-6}                          | (-2.06896551724,-5.1724137931)
+ (1e-300,-1e-300)  | {-0.000184615384615,-1,15.3846153846} | (0.00284023658959,15.3846148603)
+ (1e-300,-1e-300)  | {3,NaN,5}                             | 
+ (1e-300,-1e-300)  | {NaN,NaN,NaN}                         | 
+ (1e-300,-1e-300)  | {0,-1,3}                              | (1e-300,3)
+ (1e-300,-1e-300)  | {-1,0,3}                              | (3,-1e-300)
+ (1e+300,Infinity) | {0,-1,5}                              | (1e+300,5)
+ (1e+300,Infinity) | {1,0,5}                               | 
+ (1e+300,Infinity) | {0,3,0}                               | (1e+300,0)
+ (1e+300,Infinity) | {1,-1,0}                              | (Infinity,NaN)
+ (1e+300,Infinity) | {-0.4,-1,-6}                          | (-Infinity,NaN)
+ (1e+300,Infinity) | {-0.000184615384615,-1,15.3846153846} | (-Infinity,NaN)
+ (1e+300,Infinity) | {3,NaN,5}                             | 
+ (1e+300,Infinity) | {NaN,NaN,NaN}                         | 
+ (1e+300,Infinity) | {0,-1,3}                              | (1e+300,3)
+ (1e+300,Infinity) | {-1,0,3}                              | 
+ (NaN,NaN)         | {0,-1,5}                              | 
+ (NaN,NaN)         | {1,0,5}                               | 
+ (NaN,NaN)         | {0,3,0}                               | 
+ (NaN,NaN)         | {1,-1,0}                              | 
+ (NaN,NaN)         | {-0.4,-1,-6}                          | 
+ (NaN,NaN)         | {-0.000184615384615,-1,15.3846153846} | 
+ (NaN,NaN)         | {3,NaN,5}                             | 
+ (NaN,NaN)         | {NaN,NaN,NaN}                         | 
+ (NaN,NaN)         | {0,-1,3}                              | 
+ (NaN,NaN)         | {-1,0,3}                              | 
+ (10,10)           | {0,-1,5}                              | (10,5)
+ (10,10)           | {1,0,5}                               | (-5,10)
+ (10,10)           | {0,3,0}                               | (10,0)
+ (10,10)           | {1,-1,0}                              | (10,10)
+ (10,10)           | {-0.4,-1,-6}                          | (3.10344827586,-7.24137931034)
+ (10,10)           | {-0.000184615384615,-1,15.3846153846} | (10.000993742,15.3827690473)
+ (10,10)           | {3,NaN,5}                             | 
+ (10,10)           | {NaN,NaN,NaN}                         | 
+ (10,10)           | {0,-1,3}                              | (10,3)
+ (10,10)           | {-1,0,3}                              | (3,10)
+(90 rows)
+
+-- Closest point to line segment
+SELECT p.f1, l.s, p.f1 ## l.s FROM POINT_TBL p, LSEG_TBL l;
+        f1         |               s               |             ?column?             
+-------------------+-------------------------------+----------------------------------
+ (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)
+ (0,0)             | [(-10,2),(-10,3)]             | (-10,2)
+ (0,0)             | [(0,-20),(30,-20)]            | (0,-20)
+ (0,0)             | [(NaN,1),(NaN,90)]            | 
+ (-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)
+ (-10,0)           | [(-10,2),(-10,3)]             | (-10,2)
+ (-10,0)           | [(0,-20),(30,-20)]            | (0,-20)
+ (-10,0)           | [(NaN,1),(NaN,90)]            | 
+ (-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)
+ (-3,4)            | [(-10,2),(-10,3)]             | (-10,3)
+ (-3,4)            | [(0,-20),(30,-20)]            | (0,-20)
+ (-3,4)            | [(NaN,1),(NaN,90)]            | 
+ (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)
+ (5.1,34.5)        | [(-10,2),(-10,3)]             | (-10,3)
+ (5.1,34.5)        | [(0,-20),(30,-20)]            | (5.1,-20)
+ (5.1,34.5)        | [(NaN,1),(NaN,90)]            | 
+ (-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)
+ (-5,-12)          | [(-10,2),(-10,3)]             | (-10,2)
+ (-5,-12)          | [(0,-20),(30,-20)]            | (0,-20)
+ (-5,-12)          | [(NaN,1),(NaN,90)]            | 
+ (1e-300,-1e-300)  | [(1,2),(3,4)]                 | (1,2)
+ (1e-300,-1e-300)  | [(0,0),(6,6)]                 | (0,0)
+ (1e-300,-1e-300)  | [(10,-10),(-3,-4)]            | (-2.0487804878,-4.43902439024)
+ (1e-300,-1e-300)  | [(-1000000,200),(300000,-40)] | (0.00284023658959,15.3846148603)
+ (1e-300,-1e-300)  | [(11,22),(33,44)]             | (11,22)
+ (1e-300,-1e-300)  | [(-10,2),(-10,3)]             | (-10,2)
+ (1e-300,-1e-300)  | [(0,-20),(30,-20)]            | (0,-20)
+ (1e-300,-1e-300)  | [(NaN,1),(NaN,90)]            | 
+ (1e+300,Infinity) | [(1,2),(3,4)]                 | (3,4)
+ (1e+300,Infinity) | [(0,0),(6,6)]                 | (6,6)
+ (1e+300,Infinity) | [(10,-10),(-3,-4)]            | (-3,-4)
+ (1e+300,Infinity) | [(-1000000,200),(300000,-40)] | (300000,-40)
+ (1e+300,Infinity) | [(11,22),(33,44)]             | (33,44)
+ (1e+300,Infinity) | [(-10,2),(-10,3)]             | (-10,3)
+ (1e+300,Infinity) | [(0,-20),(30,-20)]            | (30,-20)
+ (1e+300,Infinity) | [(NaN,1),(NaN,90)]            | (NaN,90)
+ (NaN,NaN)         | [(1,2),(3,4)]                 | 
+ (NaN,NaN)         | [(0,0),(6,6)]                 | 
+ (NaN,NaN)         | [(10,-10),(-3,-4)]            | 
+ (NaN,NaN)         | [(-1000000,200),(300000,-40)] | 
+ (NaN,NaN)         | [(11,22),(33,44)]             | 
+ (NaN,NaN)         | [(-10,2),(-10,3)]             | 
+ (NaN,NaN)         | [(0,-20),(30,-20)]            | 
+ (NaN,NaN)         | [(NaN,1),(NaN,90)]            | 
+ (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)
+ (10,10)           | [(-10,2),(-10,3)]             | (-10,3)
+ (10,10)           | [(0,-20),(30,-20)]            | (10,-20)
+ (10,10)           | [(NaN,1),(NaN,90)]            | 
+(72 rows)
+
+-- Closest point to box
+SELECT p.f1, b.f1, p.f1 ## b.f1 FROM POINT_TBL p, BOX_TBL b;
+        f1         |         f1          |   ?column?   
+-------------------+---------------------+--------------
+ (0,0)             | (2,2),(0,0)         | (0,0)
+ (0,0)             | (3,3),(1,1)         | (1,1)
+ (0,0)             | (-2,2),(-8,-10)     | (-2,0)
+ (0,0)             | (2.5,3.5),(2.5,2.5) | (2.5,2.5)
+ (0,0)             | (3,3),(3,3)         | (3,3)
+ (-10,0)           | (2,2),(0,0)         | (0,0)
+ (-10,0)           | (3,3),(1,1)         | (1,1)
+ (-10,0)           | (-2,2),(-8,-10)     | (-8,0)
+ (-10,0)           | (2.5,3.5),(2.5,2.5) | (2.5,2.5)
+ (-10,0)           | (3,3),(3,3)         | (3,3)
+ (-3,4)            | (2,2),(0,0)         | (0,2)
+ (-3,4)            | (3,3),(1,1)         | (1,3)
+ (-3,4)            | (-2,2),(-8,-10)     | (-3,2)
+ (-3,4)            | (2.5,3.5),(2.5,2.5) | (2.5,3.5)
+ (-3,4)            | (3,3),(3,3)         | (3,3)
+ (5.1,34.5)        | (2,2),(0,0)         | (2,2)
+ (5.1,34.5)        | (3,3),(1,1)         | (3,3)
+ (5.1,34.5)        | (-2,2),(-8,-10)     | (-2,2)
+ (5.1,34.5)        | (2.5,3.5),(2.5,2.5) | (2.5,3.5)
+ (5.1,34.5)        | (3,3),(3,3)         | (3,3)
+ (-5,-12)          | (2,2),(0,0)         | (0,0)
+ (-5,-12)          | (3,3),(1,1)         | (1,1)
+ (-5,-12)          | (-2,2),(-8,-10)     | (-5,-10)
+ (-5,-12)          | (2.5,3.5),(2.5,2.5) | (2.5,2.5)
+ (-5,-12)          | (3,3),(3,3)         | (3,3)
+ (1e-300,-1e-300)  | (2,2),(0,0)         | (0,0)
+ (1e-300,-1e-300)  | (3,3),(1,1)         | (1,1)
+ (1e-300,-1e-300)  | (-2,2),(-8,-10)     | (-2,-1e-300)
+ (1e-300,-1e-300)  | (2.5,3.5),(2.5,2.5) | (2.5,2.5)
+ (1e-300,-1e-300)  | (3,3),(3,3)         | (3,3)
+ (1e+300,Infinity) | (2,2),(0,0)         | (0,2)
+ (1e+300,Infinity) | (3,3),(1,1)         | (1,3)
+ (1e+300,Infinity) | (-2,2),(-8,-10)     | (-8,2)
+ (1e+300,Infinity) | (2.5,3.5),(2.5,2.5) | (2.5,3.5)
+ (1e+300,Infinity) | (3,3),(3,3)         | (3,3)
+ (NaN,NaN)         | (2,2),(0,0)         | 
+ (NaN,NaN)         | (3,3),(1,1)         | 
+ (NaN,NaN)         | (-2,2),(-8,-10)     | 
+ (NaN,NaN)         | (2.5,3.5),(2.5,2.5) | 
+ (NaN,NaN)         | (3,3),(3,3)         | 
+ (10,10)           | (2,2),(0,0)         | (2,2)
+ (10,10)           | (3,3),(1,1)         | (3,3)
+ (10,10)           | (-2,2),(-8,-10)     | (-2,2)
+ (10,10)           | (2.5,3.5),(2.5,2.5) | (2.5,3.5)
+ (10,10)           | (3,3),(3,3)         | (3,3)
+(45 rows)
+
+-- On line
+SELECT p.f1, l.s FROM POINT_TBL p, LINE_TBL l WHERE p.f1 <@ l.s;
+        f1        |    s     
+------------------+----------
+ (0,0)            | {0,3,0}
+ (0,0)            | {1,-1,0}
+ (-10,0)          | {0,3,0}
+ (-5,-12)         | {1,0,5}
+ (1e-300,-1e-300) | {0,3,0}
+ (1e-300,-1e-300) | {1,-1,0}
+ (10,10)          | {1,-1,0}
+(7 rows)
+
+-- On line segment
+SELECT p.f1, l.s FROM POINT_TBL p, LSEG_TBL l WHERE p.f1 <@ l.s;
+        f1        |       s       
+------------------+---------------
+ (0,0)            | [(0,0),(6,6)]
+ (1e-300,-1e-300) | [(0,0),(6,6)]
+(2 rows)
+
+-- On path
+SELECT p.f1, p1.f1 FROM POINT_TBL p, PATH_TBL p1 WHERE p.f1 <@ p1.f1;
+        f1        |            f1             
+------------------+---------------------------
+ (0,0)            | [(0,0),(3,0),(4,5),(1,6)]
+ (1e-300,-1e-300) | [(0,0),(3,0),(4,5),(1,6)]
+ (NaN,NaN)        | ((1,2),(3,4))
+ (NaN,NaN)        | ((1,2),(3,4))
+ (NaN,NaN)        | ((1,2),(3,4))
+ (NaN,NaN)        | ((10,20))
+ (NaN,NaN)        | ((11,12),(13,14))
+(7 rows)
+
+--
+-- Lines
+--
+-- Vertical
+SELECT s FROM LINE_TBL WHERE ?| s;
+    s     
+----------
+ {1,0,5}
+ {-1,0,3}
+(2 rows)
+
+-- Horizontal
+SELECT s FROM LINE_TBL WHERE ?- s;
+    s     
+----------
+ {0,-1,5}
+ {0,3,0}
+ {0,-1,3}
+(3 rows)
+
+-- Same as line
+SELECT l1.s, l2.s FROM LINE_TBL l1, LINE_TBL l2 WHERE l1.s = l2.s;
+                   s                   |                   s                   
+---------------------------------------+---------------------------------------
+ {0,-1,5}                              | {0,-1,5}
+ {1,0,5}                               | {1,0,5}
+ {0,3,0}                               | {0,3,0}
+ {1,-1,0}                              | {1,-1,0}
+ {-0.4,-1,-6}                          | {-0.4,-1,-6}
+ {-0.000184615384615,-1,15.3846153846} | {-0.000184615384615,-1,15.3846153846}
+ {3,NaN,5}                             | {3,NaN,5}
+ {NaN,NaN,NaN}                         | {NaN,NaN,NaN}
+ {0,-1,3}                              | {0,-1,3}
+ {-1,0,3}                              | {-1,0,3}
+(10 rows)
+
+-- Parallel to line
+SELECT l1.s, l2.s FROM LINE_TBL l1, LINE_TBL l2 WHERE l1.s ?|| l2.s;
+                   s                   |                   s                   
+---------------------------------------+---------------------------------------
+ {0,-1,5}                              | {0,-1,5}
+ {0,-1,5}                              | {0,3,0}
+ {0,-1,5}                              | {0,-1,3}
+ {1,0,5}                               | {1,0,5}
+ {1,0,5}                               | {-1,0,3}
+ {0,3,0}                               | {0,-1,5}
+ {0,3,0}                               | {0,3,0}
+ {0,3,0}                               | {0,-1,3}
+ {1,-1,0}                              | {1,-1,0}
+ {-0.4,-1,-6}                          | {-0.4,-1,-6}
+ {-0.000184615384615,-1,15.3846153846} | {-0.000184615384615,-1,15.3846153846}
+ {0,-1,3}                              | {0,-1,5}
+ {0,-1,3}                              | {0,3,0}
+ {0,-1,3}                              | {0,-1,3}
+ {-1,0,3}                              | {1,0,5}
+ {-1,0,3}                              | {-1,0,3}
+(16 rows)
+
+-- Perpendicular to line
+SELECT l1.s, l2.s FROM LINE_TBL l1, LINE_TBL l2 WHERE l1.s ?-| l2.s;
+    s     |    s     
+----------+----------
+ {0,-1,5} | {1,0,5}
+ {0,-1,5} | {-1,0,3}
+ {1,0,5}  | {0,-1,5}
+ {1,0,5}  | {0,3,0}
+ {1,0,5}  | {0,-1,3}
+ {0,3,0}  | {1,0,5}
+ {0,3,0}  | {-1,0,3}
+ {0,-1,3} | {1,0,5}
+ {0,-1,3} | {-1,0,3}
+ {-1,0,3} | {0,-1,5}
+ {-1,0,3} | {0,3,0}
+ {-1,0,3} | {0,-1,3}
+(12 rows)
+
+-- Distance to line
+SELECT l1.s, l2.s, l1.s <-> l2.s FROM LINE_TBL l1, LINE_TBL l2;
+                   s                   |                   s                   | ?column? 
+---------------------------------------+---------------------------------------+----------
+ {0,-1,5}                              | {0,-1,5}                              |        0
+ {0,-1,5}                              | {1,0,5}                               |        0
+ {0,-1,5}                              | {0,3,0}                               |        5
+ {0,-1,5}                              | {1,-1,0}                              |        0
+ {0,-1,5}                              | {-0.4,-1,-6}                          |        0
+ {0,-1,5}                              | {-0.000184615384615,-1,15.3846153846} |        0
+ {0,-1,5}                              | {3,NaN,5}                             |        0
+ {0,-1,5}                              | {NaN,NaN,NaN}                         |        0
+ {0,-1,5}                              | {0,-1,3}                              |        2
+ {0,-1,5}                              | {-1,0,3}                              |        0
+ {1,0,5}                               | {0,-1,5}                              |        0
+ {1,0,5}                               | {1,0,5}                               |        0
+ {1,0,5}                               | {0,3,0}                               |        0
+ {1,0,5}                               | {1,-1,0}                              |        0
+ {1,0,5}                               | {-0.4,-1,-6}                          |        0
+ {1,0,5}                               | {-0.000184615384615,-1,15.3846153846} |        0
+ {1,0,5}                               | {3,NaN,5}                             |        0
+ {1,0,5}                               | {NaN,NaN,NaN}                         |        0
+ {1,0,5}                               | {0,-1,3}                              |        0
+ {1,0,5}                               | {-1,0,3}                              |        8
+ {0,3,0}                               | {0,-1,5}                              |        5
+ {0,3,0}                               | {1,0,5}                               |        0
+ {0,3,0}                               | {0,3,0}                               |        0
+ {0,3,0}                               | {1,-1,0}                              |        0
+ {0,3,0}                               | {-0.4,-1,-6}                          |        0
+ {0,3,0}                               | {-0.000184615384615,-1,15.3846153846} |        0
+ {0,3,0}                               | {3,NaN,5}                             |        0
+ {0,3,0}                               | {NaN,NaN,NaN}                         |        0
+ {0,3,0}                               | {0,-1,3}                              |        3
+ {0,3,0}                               | {-1,0,3}                              |        0
+ {1,-1,0}                              | {0,-1,5}                              |        0
+ {1,-1,0}                              | {1,0,5}                               |        0
+ {1,-1,0}                              | {0,3,0}                               |        0
+ {1,-1,0}                              | {1,-1,0}                              |        0
+ {1,-1,0}                              | {-0.4,-1,-6}                          |        0
+ {1,-1,0}                              | {-0.000184615384615,-1,15.3846153846} |        0
+ {1,-1,0}                              | {3,NaN,5}                             |        0
+ {1,-1,0}                              | {NaN,NaN,NaN}                         |        0
+ {1,-1,0}                              | {0,-1,3}                              |        0
+ {1,-1,0}                              | {-1,0,3}                              |        0
+ {-0.4,-1,-6}                          | {0,-1,5}                              |        0
+ {-0.4,-1,-6}                          | {1,0,5}                               |        0
+ {-0.4,-1,-6}                          | {0,3,0}                               |        0
+ {-0.4,-1,-6}                          | {1,-1,0}                              |        0
+ {-0.4,-1,-6}                          | {-0.4,-1,-6}                          |        0
+ {-0.4,-1,-6}                          | {-0.000184615384615,-1,15.3846153846} |        0
+ {-0.4,-1,-6}                          | {3,NaN,5}                             |        0
+ {-0.4,-1,-6}                          | {NaN,NaN,NaN}                         |        0
+ {-0.4,-1,-6}                          | {0,-1,3}                              |        0
+ {-0.4,-1,-6}                          | {-1,0,3}                              |        0
+ {-0.000184615384615,-1,15.3846153846} | {0,-1,5}                              |        0
+ {-0.000184615384615,-1,15.3846153846} | {1,0,5}                               |        0
+ {-0.000184615384615,-1,15.3846153846} | {0,3,0}                               |        0
+ {-0.000184615384615,-1,15.3846153846} | {1,-1,0}                              |        0
+ {-0.000184615384615,-1,15.3846153846} | {-0.4,-1,-6}                          |        0
+ {-0.000184615384615,-1,15.3846153846} | {-0.000184615384615,-1,15.3846153846} |        0
+ {-0.000184615384615,-1,15.3846153846} | {3,NaN,5}                             |        0
+ {-0.000184615384615,-1,15.3846153846} | {NaN,NaN,NaN}                         |        0
+ {-0.000184615384615,-1,15.3846153846} | {0,-1,3}                              |        0
+ {-0.000184615384615,-1,15.3846153846} | {-1,0,3}                              |        0
+ {3,NaN,5}                             | {0,-1,5}                              |        0
+ {3,NaN,5}                             | {1,0,5}                               |        0
+ {3,NaN,5}                             | {0,3,0}                               |        0
+ {3,NaN,5}                             | {1,-1,0}                              |        0
+ {3,NaN,5}                             | {-0.4,-1,-6}                          |        0
+ {3,NaN,5}                             | {-0.000184615384615,-1,15.3846153846} |        0
+ {3,NaN,5}                             | {3,NaN,5}                             |        0
+ {3,NaN,5}                             | {NaN,NaN,NaN}                         |        0
+ {3,NaN,5}                             | {0,-1,3}                              |        0
+ {3,NaN,5}                             | {-1,0,3}                              |        0
+ {NaN,NaN,NaN}                         | {0,-1,5}                              |        0
+ {NaN,NaN,NaN}                         | {1,0,5}                               |        0
+ {NaN,NaN,NaN}                         | {0,3,0}                               |        0
+ {NaN,NaN,NaN}                         | {1,-1,0}                              |        0
+ {NaN,NaN,NaN}                         | {-0.4,-1,-6}                          |        0
+ {NaN,NaN,NaN}                         | {-0.000184615384615,-1,15.3846153846} |        0
+ {NaN,NaN,NaN}                         | {3,NaN,5}                             |        0
+ {NaN,NaN,NaN}                         | {NaN,NaN,NaN}                         |        0
+ {NaN,NaN,NaN}                         | {0,-1,3}                              |        0
+ {NaN,NaN,NaN}                         | {-1,0,3}                              |        0
+ {0,-1,3}                              | {0,-1,5}                              |        2
+ {0,-1,3}                              | {1,0,5}                               |        0
+ {0,-1,3}                              | {0,3,0}                               |        3
+ {0,-1,3}                              | {1,-1,0}                              |        0
+ {0,-1,3}                              | {-0.4,-1,-6}                          |        0
+ {0,-1,3}                              | {-0.000184615384615,-1,15.3846153846} |        0
+ {0,-1,3}                              | {3,NaN,5}                             |        0
+ {0,-1,3}                              | {NaN,NaN,NaN}                         |        0
+ {0,-1,3}                              | {0,-1,3}                              |        0
+ {0,-1,3}                              | {-1,0,3}                              |        0
+ {-1,0,3}                              | {0,-1,5}                              |        0
+ {-1,0,3}                              | {1,0,5}                               |        8
+ {-1,0,3}                              | {0,3,0}                               |        0
+ {-1,0,3}                              | {1,-1,0}                              |        0
+ {-1,0,3}                              | {-0.4,-1,-6}                          |        0
+ {-1,0,3}                              | {-0.000184615384615,-1,15.3846153846} |        0
+ {-1,0,3}                              | {3,NaN,5}                             |        0
+ {-1,0,3}                              | {NaN,NaN,NaN}                         |        0
+ {-1,0,3}                              | {0,-1,3}                              |        0
+ {-1,0,3}                              | {-1,0,3}                              |        0
+(100 rows)
+
+-- Distance to box
+SELECT l.s, b.f1, l.s <-> b.f1 FROM LINE_TBL l, BOX_TBL b;
+ERROR:  function "dist_lb" not implemented
+-- Intersect with line
+SELECT l1.s, l2.s FROM LINE_TBL l1, LINE_TBL l2 WHERE l1.s ?# l2.s;
+                   s                   |                   s                   
+---------------------------------------+---------------------------------------
+ {0,-1,5}                              | {1,0,5}
+ {0,-1,5}                              | {1,-1,0}
+ {0,-1,5}                              | {-0.4,-1,-6}
+ {0,-1,5}                              | {-0.000184615384615,-1,15.3846153846}
+ {0,-1,5}                              | {3,NaN,5}
+ {0,-1,5}                              | {NaN,NaN,NaN}
+ {0,-1,5}                              | {-1,0,3}
+ {1,0,5}                               | {0,-1,5}
+ {1,0,5}                               | {0,3,0}
+ {1,0,5}                               | {1,-1,0}
+ {1,0,5}                               | {-0.4,-1,-6}
+ {1,0,5}                               | {-0.000184615384615,-1,15.3846153846}
+ {1,0,5}                               | {3,NaN,5}
+ {1,0,5}                               | {NaN,NaN,NaN}
+ {1,0,5}                               | {0,-1,3}
+ {0,3,0}                               | {1,0,5}
+ {0,3,0}                               | {1,-1,0}
+ {0,3,0}                               | {-0.4,-1,-6}
+ {0,3,0}                               | {-0.000184615384615,-1,15.3846153846}
+ {0,3,0}                               | {3,NaN,5}
+ {0,3,0}                               | {NaN,NaN,NaN}
+ {0,3,0}                               | {-1,0,3}
+ {1,-1,0}                              | {0,-1,5}
+ {1,-1,0}                              | {1,0,5}
+ {1,-1,0}                              | {0,3,0}
+ {1,-1,0}                              | {-0.4,-1,-6}
+ {1,-1,0}                              | {-0.000184615384615,-1,15.3846153846}
+ {1,-1,0}                              | {3,NaN,5}
+ {1,-1,0}                              | {NaN,NaN,NaN}
+ {1,-1,0}                              | {0,-1,3}
+ {1,-1,0}                              | {-1,0,3}
+ {-0.4,-1,-6}                          | {0,-1,5}
+ {-0.4,-1,-6}                          | {1,0,5}
+ {-0.4,-1,-6}                          | {0,3,0}
+ {-0.4,-1,-6}                          | {1,-1,0}
+ {-0.4,-1,-6}                          | {-0.000184615384615,-1,15.3846153846}
+ {-0.4,-1,-6}                          | {3,NaN,5}
+ {-0.4,-1,-6}                          | {NaN,NaN,NaN}
+ {-0.4,-1,-6}                          | {0,-1,3}
+ {-0.4,-1,-6}                          | {-1,0,3}
+ {-0.000184615384615,-1,15.3846153846} | {0,-1,5}
+ {-0.000184615384615,-1,15.3846153846} | {1,0,5}
+ {-0.000184615384615,-1,15.3846153846} | {0,3,0}
+ {-0.000184615384615,-1,15.3846153846} | {1,-1,0}
+ {-0.000184615384615,-1,15.3846153846} | {-0.4,-1,-6}
+ {-0.000184615384615,-1,15.3846153846} | {3,NaN,5}
+ {-0.000184615384615,-1,15.3846153846} | {NaN,NaN,NaN}
+ {-0.000184615384615,-1,15.3846153846} | {0,-1,3}
+ {-0.000184615384615,-1,15.3846153846} | {-1,0,3}
+ {3,NaN,5}                             | {0,-1,5}
+ {3,NaN,5}                             | {1,0,5}
+ {3,NaN,5}                             | {0,3,0}
+ {3,NaN,5}                             | {1,-1,0}
+ {3,NaN,5}                             | {-0.4,-1,-6}
+ {3,NaN,5}                             | {-0.000184615384615,-1,15.3846153846}
+ {3,NaN,5}                             | {3,NaN,5}
+ {3,NaN,5}                             | {NaN,NaN,NaN}
+ {3,NaN,5}                             | {0,-1,3}
+ {3,NaN,5}                             | {-1,0,3}
+ {NaN,NaN,NaN}                         | {0,-1,5}
+ {NaN,NaN,NaN}                         | {1,0,5}
+ {NaN,NaN,NaN}                         | {0,3,0}
+ {NaN,NaN,NaN}                         | {1,-1,0}
+ {NaN,NaN,NaN}                         | {-0.4,-1,-6}
+ {NaN,NaN,NaN}                         | {-0.000184615384615,-1,15.3846153846}
+ {NaN,NaN,NaN}                         | {3,NaN,5}
+ {NaN,NaN,NaN}                         | {NaN,NaN,NaN}
+ {NaN,NaN,NaN}                         | {0,-1,3}
+ {NaN,NaN,NaN}                         | {-1,0,3}
+ {0,-1,3}                              | {1,0,5}
+ {0,-1,3}                              | {1,-1,0}
+ {0,-1,3}                              | {-0.4,-1,-6}
+ {0,-1,3}                              | {-0.000184615384615,-1,15.3846153846}
+ {0,-1,3}                              | {3,NaN,5}
+ {0,-1,3}                              | {NaN,NaN,NaN}
+ {0,-1,3}                              | {-1,0,3}
+ {-1,0,3}                              | {0,-1,5}
+ {-1,0,3}                              | {0,3,0}
+ {-1,0,3}                              | {1,-1,0}
+ {-1,0,3}                              | {-0.4,-1,-6}
+ {-1,0,3}                              | {-0.000184615384615,-1,15.3846153846}
+ {-1,0,3}                              | {3,NaN,5}
+ {-1,0,3}                              | {NaN,NaN,NaN}
+ {-1,0,3}                              | {0,-1,3}
+(84 rows)
+
+-- Intersect with box
+SELECT l.s, b.f1 FROM LINE_TBL l, BOX_TBL b WHERE l.s ?# b.f1;
+      s       |         f1          
+--------------+---------------------
+ {1,0,5}      | (-2,2),(-8,-10)
+ {0,3,0}      | (2,2),(0,0)
+ {0,3,0}      | (-2,2),(-8,-10)
+ {1,-1,0}     | (2,2),(0,0)
+ {1,-1,0}     | (3,3),(1,1)
+ {1,-1,0}     | (-2,2),(-8,-10)
+ {1,-1,0}     | (2.5,3.5),(2.5,2.5)
+ {1,-1,0}     | (3,3),(3,3)
+ {-0.4,-1,-6} | (-2,2),(-8,-10)
+ {0,-1,3}     | (3,3),(1,1)
+ {0,-1,3}     | (2.5,3.5),(2.5,2.5)
+ {0,-1,3}     | (3,3),(3,3)
+ {-1,0,3}     | (3,3),(1,1)
+(13 rows)
+
+-- Intersection point with line
+SELECT l1.s, l2.s, l1.s # l2.s FROM LINE_TBL l1, LINE_TBL l2;
+                   s                   |                   s                   |             ?column?              
+---------------------------------------+---------------------------------------+-----------------------------------
+ {0,-1,5}                              | {0,-1,5}                              | 
+ {0,-1,5}                              | {1,0,5}                               | (-5,5)
+ {0,-1,5}                              | {0,3,0}                               | 
+ {0,-1,5}                              | {1,-1,0}                              | (5,5)
+ {0,-1,5}                              | {-0.4,-1,-6}                          | (-27.5,5)
+ {0,-1,5}                              | {-0.000184615384615,-1,15.3846153846} | (56250,5)
+ {0,-1,5}                              | {3,NaN,5}                             | (NaN,NaN)
+ {0,-1,5}                              | {NaN,NaN,NaN}                         | (NaN,NaN)
+ {0,-1,5}                              | {0,-1,3}                              | 
+ {0,-1,5}                              | {-1,0,3}                              | (3,5)
+ {1,0,5}                               | {0,-1,5}                              | (-5,5)
+ {1,0,5}                               | {1,0,5}                               | 
+ {1,0,5}                               | {0,3,0}                               | (-5,0)
+ {1,0,5}                               | {1,-1,0}                              | (-5,-5)
+ {1,0,5}                               | {-0.4,-1,-6}                          | (-5,-4)
+ {1,0,5}                               | {-0.000184615384615,-1,15.3846153846} | (-5,15.3855384615)
+ {1,0,5}                               | {3,NaN,5}                             | (NaN,NaN)
+ {1,0,5}                               | {NaN,NaN,NaN}                         | (NaN,NaN)
+ {1,0,5}                               | {0,-1,3}                              | (-5,3)
+ {1,0,5}                               | {-1,0,3}                              | 
+ {0,3,0}                               | {0,-1,5}                              | 
+ {0,3,0}                               | {1,0,5}                               | (-5,0)
+ {0,3,0}                               | {0,3,0}                               | 
+ {0,3,0}                               | {1,-1,0}                              | (0,0)
+ {0,3,0}                               | {-0.4,-1,-6}                          | (-15,0)
+ {0,3,0}                               | {-0.000184615384615,-1,15.3846153846} | (83333.3333333,0)
+ {0,3,0}                               | {3,NaN,5}                             | (NaN,NaN)
+ {0,3,0}                               | {NaN,NaN,NaN}                         | (NaN,NaN)
+ {0,3,0}                               | {0,-1,3}                              | 
+ {0,3,0}                               | {-1,0,3}                              | (3,0)
+ {1,-1,0}                              | {0,-1,5}                              | (5,5)
+ {1,-1,0}                              | {1,0,5}                               | (-5,-5)
+ {1,-1,0}                              | {0,3,0}                               | (0,0)
+ {1,-1,0}                              | {1,-1,0}                              | 
+ {1,-1,0}                              | {-0.4,-1,-6}                          | (-4.28571428571,-4.28571428571)
+ {1,-1,0}                              | {-0.000184615384615,-1,15.3846153846} | (15.3817756722,15.3817756722)
+ {1,-1,0}                              | {3,NaN,5}                             | (NaN,NaN)
+ {1,-1,0}                              | {NaN,NaN,NaN}                         | (NaN,NaN)
+ {1,-1,0}                              | {0,-1,3}                              | (3,3)
+ {1,-1,0}                              | {-1,0,3}                              | (3,3)
+ {-0.4,-1,-6}                          | {0,-1,5}                              | (-27.5,5)
+ {-0.4,-1,-6}                          | {1,0,5}                               | (-5,-4)
+ {-0.4,-1,-6}                          | {0,3,0}                               | (-15,0)
+ {-0.4,-1,-6}                          | {1,-1,0}                              | (-4.28571428571,-4.28571428571)
+ {-0.4,-1,-6}                          | {-0.4,-1,-6}                          | 
+ {-0.4,-1,-6}                          | {-0.000184615384615,-1,15.3846153846} | (-53.4862244113,15.3944897645)
+ {-0.4,-1,-6}                          | {3,NaN,5}                             | (NaN,NaN)
+ {-0.4,-1,-6}                          | {NaN,NaN,NaN}                         | (NaN,NaN)
+ {-0.4,-1,-6}                          | {0,-1,3}                              | (-22.5,3)
+ {-0.4,-1,-6}                          | {-1,0,3}                              | (3,-7.2)
+ {-0.000184615384615,-1,15.3846153846} | {0,-1,5}                              | (56250,5)
+ {-0.000184615384615,-1,15.3846153846} | {1,0,5}                               | (-5,15.3855384615)
+ {-0.000184615384615,-1,15.3846153846} | {0,3,0}                               | (83333.3333333,-1.7763568394e-15)
+ {-0.000184615384615,-1,15.3846153846} | {1,-1,0}                              | (15.3817756722,15.3817756722)
+ {-0.000184615384615,-1,15.3846153846} | {-0.4,-1,-6}                          | (-53.4862244113,15.3944897645)
+ {-0.000184615384615,-1,15.3846153846} | {-0.000184615384615,-1,15.3846153846} | 
+ {-0.000184615384615,-1,15.3846153846} | {3,NaN,5}                             | (NaN,NaN)
+ {-0.000184615384615,-1,15.3846153846} | {NaN,NaN,NaN}                         | (NaN,NaN)
+ {-0.000184615384615,-1,15.3846153846} | {0,-1,3}                              | (67083.3333333,3)
+ {-0.000184615384615,-1,15.3846153846} | {-1,0,3}                              | (3,15.3840615385)
+ {3,NaN,5}                             | {0,-1,5}                              | (NaN,NaN)
+ {3,NaN,5}                             | {1,0,5}                               | (NaN,NaN)
+ {3,NaN,5}                             | {0,3,0}                               | (NaN,NaN)
+ {3,NaN,5}                             | {1,-1,0}                              | (NaN,NaN)
+ {3,NaN,5}                             | {-0.4,-1,-6}                          | (NaN,NaN)
+ {3,NaN,5}                             | {-0.000184615384615,-1,15.3846153846} | (NaN,NaN)
+ {3,NaN,5}                             | {3,NaN,5}                             | (NaN,NaN)
+ {3,NaN,5}                             | {NaN,NaN,NaN}                         | (NaN,NaN)
+ {3,NaN,5}                             | {0,-1,3}                              | (NaN,NaN)
+ {3,NaN,5}                             | {-1,0,3}                              | (NaN,NaN)
+ {NaN,NaN,NaN}                         | {0,-1,5}                              | (NaN,NaN)
+ {NaN,NaN,NaN}                         | {1,0,5}                               | (NaN,NaN)
+ {NaN,NaN,NaN}                         | {0,3,0}                               | (NaN,NaN)
+ {NaN,NaN,NaN}                         | {1,-1,0}                              | (NaN,NaN)
+ {NaN,NaN,NaN}                         | {-0.4,-1,-6}                          | (NaN,NaN)
+ {NaN,NaN,NaN}                         | {-0.000184615384615,-1,15.3846153846} | (NaN,NaN)
+ {NaN,NaN,NaN}                         | {3,NaN,5}                             | (NaN,NaN)
+ {NaN,NaN,NaN}                         | {NaN,NaN,NaN}                         | (NaN,NaN)
+ {NaN,NaN,NaN}                         | {0,-1,3}                              | (NaN,NaN)
+ {NaN,NaN,NaN}                         | {-1,0,3}                              | (NaN,NaN)
+ {0,-1,3}                              | {0,-1,5}                              | 
+ {0,-1,3}                              | {1,0,5}                               | (-5,3)
+ {0,-1,3}                              | {0,3,0}                               | 
+ {0,-1,3}                              | {1,-1,0}                              | (3,3)
+ {0,-1,3}                              | {-0.4,-1,-6}                          | (-22.5,3)
+ {0,-1,3}                              | {-0.000184615384615,-1,15.3846153846} | (67083.3333333,3)
+ {0,-1,3}                              | {3,NaN,5}                             | (NaN,NaN)
+ {0,-1,3}                              | {NaN,NaN,NaN}                         | (NaN,NaN)
+ {0,-1,3}                              | {0,-1,3}                              | 
+ {0,-1,3}                              | {-1,0,3}                              | (3,3)
+ {-1,0,3}                              | {0,-1,5}                              | (3,5)
+ {-1,0,3}                              | {1,0,5}                               | 
+ {-1,0,3}                              | {0,3,0}                               | (3,0)
+ {-1,0,3}                              | {1,-1,0}                              | (3,3)
+ {-1,0,3}                              | {-0.4,-1,-6}                          | (3,-7.2)
+ {-1,0,3}                              | {-0.000184615384615,-1,15.3846153846} | (3,15.3840615385)
+ {-1,0,3}                              | {3,NaN,5}                             | (NaN,NaN)
+ {-1,0,3}                              | {NaN,NaN,NaN}                         | (NaN,NaN)
+ {-1,0,3}                              | {0,-1,3}                              | (3,3)
+ {-1,0,3}                              | {-1,0,3}                              | 
+(100 rows)
+
+-- Closest point to line segment
+SELECT l.s, l1.s, l.s ## l1.s FROM LINE_TBL l, LSEG_TBL l1;
+                   s                   |               s               |             ?column?              
+---------------------------------------+-------------------------------+-----------------------------------
+ {0,-1,5}                              | [(1,2),(3,4)]                 | (3,4)
+ {0,-1,5}                              | [(0,0),(6,6)]                 | (5,5)
+ {0,-1,5}                              | [(10,-10),(-3,-4)]            | (-3,-4)
+ {0,-1,5}                              | [(-1000000,200),(300000,-40)] | (56250,5)
+ {0,-1,5}                              | [(11,22),(33,44)]             | (11,22)
+ {0,-1,5}                              | [(-10,2),(-10,3)]             | (-10,3)
+ {0,-1,5}                              | [(0,-20),(30,-20)]            | 
+ {0,-1,5}                              | [(NaN,1),(NaN,90)]            | 
+ {1,0,5}                               | [(1,2),(3,4)]                 | (1,2)
+ {1,0,5}                               | [(0,0),(6,6)]                 | (0,0)
+ {1,0,5}                               | [(10,-10),(-3,-4)]            | (-3,-4)
+ {1,0,5}                               | [(-1000000,200),(300000,-40)] | (-5,15.3855384615)
+ {1,0,5}                               | [(11,22),(33,44)]             | (11,22)
+ {1,0,5}                               | [(-10,2),(-10,3)]             | 
+ {1,0,5}                               | [(0,-20),(30,-20)]            | (0,-20)
+ {1,0,5}                               | [(NaN,1),(NaN,90)]            | 
+ {0,3,0}                               | [(1,2),(3,4)]                 | (1,2)
+ {0,3,0}                               | [(0,0),(6,6)]                 | (0,0)
+ {0,3,0}                               | [(10,-10),(-3,-4)]            | (-3,-4)
+ {0,3,0}                               | [(-1000000,200),(300000,-40)] | (83333.3333333,-1.7763568394e-15)
+ {0,3,0}                               | [(11,22),(33,44)]             | (11,22)
+ {0,3,0}                               | [(-10,2),(-10,3)]             | (-10,2)
+ {0,3,0}                               | [(0,-20),(30,-20)]            | 
+ {0,3,0}                               | [(NaN,1),(NaN,90)]            | 
+ {1,-1,0}                              | [(1,2),(3,4)]                 | 
+ {1,-1,0}                              | [(0,0),(6,6)]                 | 
+ {1,-1,0}                              | [(10,-10),(-3,-4)]            | (-3,-4)
+ {1,-1,0}                              | [(-1000000,200),(300000,-40)] | (15.3817756722,15.3817756722)
+ {1,-1,0}                              | [(11,22),(33,44)]             | 
+ {1,-1,0}                              | [(-10,2),(-10,3)]             | (-10,2)
+ {1,-1,0}                              | [(0,-20),(30,-20)]            | (0,-20)
+ {1,-1,0}                              | [(NaN,1),(NaN,90)]            | 
+ {-0.4,-1,-6}                          | [(1,2),(3,4)]                 | (1,2)
+ {-0.4,-1,-6}                          | [(0,0),(6,6)]                 | (0,0)
+ {-0.4,-1,-6}                          | [(10,-10),(-3,-4)]            | (10,-10)
+ {-0.4,-1,-6}                          | [(-1000000,200),(300000,-40)] | (-53.4862244113,15.3944897645)
+ {-0.4,-1,-6}                          | [(11,22),(33,44)]             | (11,22)
+ {-0.4,-1,-6}                          | [(-10,2),(-10,3)]             | (-10,2)
+ {-0.4,-1,-6}                          | [(0,-20),(30,-20)]            | (30,-20)
+ {-0.4,-1,-6}                          | [(NaN,1),(NaN,90)]            | 
+ {-0.000184615384615,-1,15.3846153846} | [(1,2),(3,4)]                 | (3,4)
+ {-0.000184615384615,-1,15.3846153846} | [(0,0),(6,6)]                 | (6,6)
+ {-0.000184615384615,-1,15.3846153846} | [(10,-10),(-3,-4)]            | (-3,-4)
+ {-0.000184615384615,-1,15.3846153846} | [(-1000000,200),(300000,-40)] | 
+ {-0.000184615384615,-1,15.3846153846} | [(11,22),(33,44)]             | (11,22)
+ {-0.000184615384615,-1,15.3846153846} | [(-10,2),(-10,3)]             | (-10,3)
+ {-0.000184615384615,-1,15.3846153846} | [(0,-20),(30,-20)]            | (30,-20)
+ {-0.000184615384615,-1,15.3846153846} | [(NaN,1),(NaN,90)]            | 
+ {3,NaN,5}                             | [(1,2),(3,4)]                 | 
+ {3,NaN,5}                             | [(0,0),(6,6)]                 | 
+ {3,NaN,5}                             | [(10,-10),(-3,-4)]            | 
+ {3,NaN,5}                             | [(-1000000,200),(300000,-40)] | 
+ {3,NaN,5}                             | [(11,22),(33,44)]             | 
+ {3,NaN,5}                             | [(-10,2),(-10,3)]             | 
+ {3,NaN,5}                             | [(0,-20),(30,-20)]            | 
+ {3,NaN,5}                             | [(NaN,1),(NaN,90)]            | 
+ {NaN,NaN,NaN}                         | [(1,2),(3,4)]                 | 
+ {NaN,NaN,NaN}                         | [(0,0),(6,6)]                 | 
+ {NaN,NaN,NaN}                         | [(10,-10),(-3,-4)]            | 
+ {NaN,NaN,NaN}                         | [(-1000000,200),(300000,-40)] | 
+ {NaN,NaN,NaN}                         | [(11,22),(33,44)]             | 
+ {NaN,NaN,NaN}                         | [(-10,2),(-10,3)]             | 
+ {NaN,NaN,NaN}                         | [(0,-20),(30,-20)]            | 
+ {NaN,NaN,NaN}                         | [(NaN,1),(NaN,90)]            | 
+ {0,-1,3}                              | [(1,2),(3,4)]                 | (2,3)
+ {0,-1,3}                              | [(0,0),(6,6)]                 | (3,3)
+ {0,-1,3}                              | [(10,-10),(-3,-4)]            | (-3,-4)
+ {0,-1,3}                              | [(-1000000,200),(300000,-40)] | (67083.3333333,3)
+ {0,-1,3}                              | [(11,22),(33,44)]             | (11,22)
+ {0,-1,3}                              | [(-10,2),(-10,3)]             | (-10,3)
+ {0,-1,3}                              | [(0,-20),(30,-20)]            | 
+ {0,-1,3}                              | [(NaN,1),(NaN,90)]            | 
+ {-1,0,3}                              | [(1,2),(3,4)]                 | (3,4)
+ {-1,0,3}                              | [(0,0),(6,6)]                 | (3,3)
+ {-1,0,3}                              | [(10,-10),(-3,-4)]            | (3,-6.76923076923)
+ {-1,0,3}                              | [(-1000000,200),(300000,-40)] | (3,15.3840615385)
+ {-1,0,3}                              | [(11,22),(33,44)]             | (11,22)
+ {-1,0,3}                              | [(-10,2),(-10,3)]             | 
+ {-1,0,3}                              | [(0,-20),(30,-20)]            | (3,-20)
+ {-1,0,3}                              | [(NaN,1),(NaN,90)]            | 
+(80 rows)
+
+-- Closest point to box
+SELECT l.s, b.f1, l.s ## b.f1 FROM LINE_TBL l, BOX_TBL b;
+ERROR:  function "close_lb" not implemented
 --
 -- Line segments
 --
@@ -108,42 +1566,728 @@ ERROR:  operator does not exist: lseg # point
 LINE 1: SELECT '' AS count, p.f1, l.s, l.s # p.f1 AS intersection
                                            ^
 HINT:  No operator matches the given name and argument types. You might 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)
+-- Length
+SELECT s, @-@ s FROM LSEG_TBL;
+               s               |   ?column?    
+-------------------------------+---------------
+ [(1,2),(3,4)]                 | 2.82842712475
+ [(0,0),(6,6)]                 | 8.48528137424
+ [(10,-10),(-3,-4)]            | 14.3178210633
+ [(-1000000,200),(300000,-40)] | 1300000.02215
+ [(11,22),(33,44)]             | 31.1126983722
+ [(-10,2),(-10,3)]             |             1
+ [(0,-20),(30,-20)]            |            30
+ [(NaN,1),(NaN,90)]            |           NaN
+(8 rows)
+
+-- Vertical
+SELECT s FROM LSEG_TBL WHERE ?| s;
+         s         
+-------------------
+ [(-10,2),(-10,3)]
+(1 row)
+
+-- Horizontal
+SELECT s FROM LSEG_TBL WHERE ?- s;
+         s          
+--------------------
+ [(0,-20),(30,-20)]
+(1 row)
+
+-- Center
+SELECT s, @@ s FROM LSEG_TBL;
+               s               |   ?column?   
+-------------------------------+--------------
+ [(1,2),(3,4)]                 | (2,3)
+ [(0,0),(6,6)]                 | (3,3)
+ [(10,-10),(-3,-4)]            | (3.5,-7)
+ [(-1000000,200),(300000,-40)] | (-350000,80)
+ [(11,22),(33,44)]             | (22,33)
+ [(-10,2),(-10,3)]             | (-10,2.5)
+ [(0,-20),(30,-20)]            | (15,-20)
+ [(NaN,1),(NaN,90)]            | (NaN,45.5)
+(8 rows)
+
+-- To point
+SELECT s, s::point FROM LSEG_TBL;
+               s               |      s       
+-------------------------------+--------------
+ [(1,2),(3,4)]                 | (2,3)
+ [(0,0),(6,6)]                 | (3,3)
+ [(10,-10),(-3,-4)]            | (3.5,-7)
+ [(-1000000,200),(300000,-40)] | (-350000,80)
+ [(11,22),(33,44)]             | (22,33)
+ [(-10,2),(-10,3)]             | (-10,2.5)
+ [(0,-20),(30,-20)]            | (15,-20)
+ [(NaN,1),(NaN,90)]            | (NaN,45.5)
+(8 rows)
+
+-- Has points less than line segment
+SELECT l1.s, l2.s FROM LSEG_TBL l1, LSEG_TBL l2 WHERE l1.s < l2.s;
+         s          |               s               
+--------------------+-------------------------------
+ [(1,2),(3,4)]      | [(0,0),(6,6)]
+ [(1,2),(3,4)]      | [(10,-10),(-3,-4)]
+ [(1,2),(3,4)]      | [(-1000000,200),(300000,-40)]
+ [(1,2),(3,4)]      | [(11,22),(33,44)]
+ [(1,2),(3,4)]      | [(0,-20),(30,-20)]
+ [(0,0),(6,6)]      | [(10,-10),(-3,-4)]
+ [(0,0),(6,6)]      | [(-1000000,200),(300000,-40)]
+ [(0,0),(6,6)]      | [(11,22),(33,44)]
+ [(0,0),(6,6)]      | [(0,-20),(30,-20)]
+ [(10,-10),(-3,-4)] | [(-1000000,200),(300000,-40)]
+ [(10,-10),(-3,-4)] | [(11,22),(33,44)]
+ [(10,-10),(-3,-4)] | [(0,-20),(30,-20)]
+ [(11,22),(33,44)]  | [(-1000000,200),(300000,-40)]
+ [(-10,2),(-10,3)]  | [(1,2),(3,4)]
+ [(-10,2),(-10,3)]  | [(0,0),(6,6)]
+ [(-10,2),(-10,3)]  | [(10,-10),(-3,-4)]
+ [(-10,2),(-10,3)]  | [(-1000000,200),(300000,-40)]
+ [(-10,2),(-10,3)]  | [(11,22),(33,44)]
+ [(-10,2),(-10,3)]  | [(0,-20),(30,-20)]
+ [(0,-20),(30,-20)] | [(-1000000,200),(300000,-40)]
+ [(0,-20),(30,-20)] | [(11,22),(33,44)]
+(21 rows)
+
+-- Has points less than or equal to line segment
+SELECT l1.s, l2.s FROM LSEG_TBL l1, LSEG_TBL l2 WHERE l1.s <= l2.s;
+               s               |               s               
+-------------------------------+-------------------------------
+ [(1,2),(3,4)]                 | [(1,2),(3,4)]
+ [(1,2),(3,4)]                 | [(0,0),(6,6)]
+ [(1,2),(3,4)]                 | [(10,-10),(-3,-4)]
+ [(1,2),(3,4)]                 | [(-1000000,200),(300000,-40)]
+ [(1,2),(3,4)]                 | [(11,22),(33,44)]
+ [(1,2),(3,4)]                 | [(0,-20),(30,-20)]
+ [(0,0),(6,6)]                 | [(0,0),(6,6)]
+ [(0,0),(6,6)]                 | [(10,-10),(-3,-4)]
+ [(0,0),(6,6)]                 | [(-1000000,200),(300000,-40)]
+ [(0,0),(6,6)]                 | [(11,22),(33,44)]
+ [(0,0),(6,6)]                 | [(0,-20),(30,-20)]
+ [(10,-10),(-3,-4)]            | [(10,-10),(-3,-4)]
+ [(10,-10),(-3,-4)]            | [(-1000000,200),(300000,-40)]
+ [(10,-10),(-3,-4)]            | [(11,22),(33,44)]
+ [(10,-10),(-3,-4)]            | [(0,-20),(30,-20)]
+ [(-1000000,200),(300000,-40)] | [(-1000000,200),(300000,-40)]
+ [(11,22),(33,44)]             | [(-1000000,200),(300000,-40)]
+ [(11,22),(33,44)]             | [(11,22),(33,44)]
+ [(-10,2),(-10,3)]             | [(1,2),(3,4)]
+ [(-10,2),(-10,3)]             | [(0,0),(6,6)]
+ [(-10,2),(-10,3)]             | [(10,-10),(-3,-4)]
+ [(-10,2),(-10,3)]             | [(-1000000,200),(300000,-40)]
+ [(-10,2),(-10,3)]             | [(11,22),(33,44)]
+ [(-10,2),(-10,3)]             | [(-10,2),(-10,3)]
+ [(-10,2),(-10,3)]             | [(0,-20),(30,-20)]
+ [(0,-20),(30,-20)]            | [(-1000000,200),(300000,-40)]
+ [(0,-20),(30,-20)]            | [(11,22),(33,44)]
+ [(0,-20),(30,-20)]            | [(0,-20),(30,-20)]
+(28 rows)
+
+-- Has points equal to line segment
+SELECT l1.s, l2.s FROM LSEG_TBL l1, LSEG_TBL l2 WHERE l1.s = l2.s;
+               s               |               s               
+-------------------------------+-------------------------------
+ [(1,2),(3,4)]                 | [(1,2),(3,4)]
+ [(0,0),(6,6)]                 | [(0,0),(6,6)]
+ [(10,-10),(-3,-4)]            | [(10,-10),(-3,-4)]
+ [(-1000000,200),(300000,-40)] | [(-1000000,200),(300000,-40)]
+ [(11,22),(33,44)]             | [(11,22),(33,44)]
+ [(-10,2),(-10,3)]             | [(-10,2),(-10,3)]
+ [(0,-20),(30,-20)]            | [(0,-20),(30,-20)]
+ [(NaN,1),(NaN,90)]            | [(NaN,1),(NaN,90)]
+(8 rows)
+
+-- Has points greater than or equal to line segment
+SELECT l1.s, l2.s FROM LSEG_TBL l1, LSEG_TBL l2 WHERE l1.s >= l2.s;
+               s               |               s               
+-------------------------------+-------------------------------
+ [(1,2),(3,4)]                 | [(1,2),(3,4)]
+ [(1,2),(3,4)]                 | [(-10,2),(-10,3)]
+ [(0,0),(6,6)]                 | [(1,2),(3,4)]
+ [(0,0),(6,6)]                 | [(0,0),(6,6)]
+ [(0,0),(6,6)]                 | [(-10,2),(-10,3)]
+ [(10,-10),(-3,-4)]            | [(1,2),(3,4)]
+ [(10,-10),(-3,-4)]            | [(0,0),(6,6)]
+ [(10,-10),(-3,-4)]            | [(10,-10),(-3,-4)]
+ [(10,-10),(-3,-4)]            | [(-10,2),(-10,3)]
+ [(-1000000,200),(300000,-40)] | [(1,2),(3,4)]
+ [(-1000000,200),(300000,-40)] | [(0,0),(6,6)]
+ [(-1000000,200),(300000,-40)] | [(10,-10),(-3,-4)]
+ [(-1000000,200),(300000,-40)] | [(-1000000,200),(300000,-40)]
+ [(-1000000,200),(300000,-40)] | [(11,22),(33,44)]
+ [(-1000000,200),(300000,-40)] | [(-10,2),(-10,3)]
+ [(-1000000,200),(300000,-40)] | [(0,-20),(30,-20)]
+ [(11,22),(33,44)]             | [(1,2),(3,4)]
+ [(11,22),(33,44)]             | [(0,0),(6,6)]
+ [(11,22),(33,44)]             | [(10,-10),(-3,-4)]
+ [(11,22),(33,44)]             | [(11,22),(33,44)]
+ [(11,22),(33,44)]             | [(-10,2),(-10,3)]
+ [(11,22),(33,44)]             | [(0,-20),(30,-20)]
+ [(-10,2),(-10,3)]             | [(-10,2),(-10,3)]
+ [(0,-20),(30,-20)]            | [(1,2),(3,4)]
+ [(0,-20),(30,-20)]            | [(0,0),(6,6)]
+ [(0,-20),(30,-20)]            | [(10,-10),(-3,-4)]
+ [(0,-20),(30,-20)]            | [(-10,2),(-10,3)]
+ [(0,-20),(30,-20)]            | [(0,-20),(30,-20)]
+(28 rows)
+
+-- Has points greater than line segment
+SELECT l1.s, l2.s FROM LSEG_TBL l1, LSEG_TBL l2 WHERE l1.s > l2.s;
+               s               |         s          
+-------------------------------+--------------------
+ [(1,2),(3,4)]                 | [(-10,2),(-10,3)]
+ [(0,0),(6,6)]                 | [(1,2),(3,4)]
+ [(0,0),(6,6)]                 | [(-10,2),(-10,3)]
+ [(10,-10),(-3,-4)]            | [(1,2),(3,4)]
+ [(10,-10),(-3,-4)]            | [(0,0),(6,6)]
+ [(10,-10),(-3,-4)]            | [(-10,2),(-10,3)]
+ [(-1000000,200),(300000,-40)] | [(1,2),(3,4)]
+ [(-1000000,200),(300000,-40)] | [(0,0),(6,6)]
+ [(-1000000,200),(300000,-40)] | [(10,-10),(-3,-4)]
+ [(-1000000,200),(300000,-40)] | [(11,22),(33,44)]
+ [(-1000000,200),(300000,-40)] | [(-10,2),(-10,3)]
+ [(-1000000,200),(300000,-40)] | [(0,-20),(30,-20)]
+ [(11,22),(33,44)]             | [(1,2),(3,4)]
+ [(11,22),(33,44)]             | [(0,0),(6,6)]
+ [(11,22),(33,44)]             | [(10,-10),(-3,-4)]
+ [(11,22),(33,44)]             | [(-10,2),(-10,3)]
+ [(11,22),(33,44)]             | [(0,-20),(30,-20)]
+ [(0,-20),(30,-20)]            | [(1,2),(3,4)]
+ [(0,-20),(30,-20)]            | [(0,0),(6,6)]
+ [(0,-20),(30,-20)]            | [(10,-10),(-3,-4)]
+ [(0,-20),(30,-20)]            | [(-10,2),(-10,3)]
+(21 rows)
+
+-- Has points not equal to line segment
+SELECT l1.s, l2.s FROM LSEG_TBL l1, LSEG_TBL l2 WHERE l1.s != l2.s;
+               s               |               s               
+-------------------------------+-------------------------------
+ [(1,2),(3,4)]                 | [(0,0),(6,6)]
+ [(1,2),(3,4)]                 | [(10,-10),(-3,-4)]
+ [(1,2),(3,4)]                 | [(-1000000,200),(300000,-40)]
+ [(1,2),(3,4)]                 | [(11,22),(33,44)]
+ [(1,2),(3,4)]                 | [(-10,2),(-10,3)]
+ [(1,2),(3,4)]                 | [(0,-20),(30,-20)]
+ [(1,2),(3,4)]                 | [(NaN,1),(NaN,90)]
+ [(0,0),(6,6)]                 | [(1,2),(3,4)]
+ [(0,0),(6,6)]                 | [(10,-10),(-3,-4)]
+ [(0,0),(6,6)]                 | [(-1000000,200),(300000,-40)]
+ [(0,0),(6,6)]                 | [(11,22),(33,44)]
+ [(0,0),(6,6)]                 | [(-10,2),(-10,3)]
+ [(0,0),(6,6)]                 | [(0,-20),(30,-20)]
+ [(0,0),(6,6)]                 | [(NaN,1),(NaN,90)]
+ [(10,-10),(-3,-4)]            | [(1,2),(3,4)]
+ [(10,-10),(-3,-4)]            | [(0,0),(6,6)]
+ [(10,-10),(-3,-4)]            | [(-1000000,200),(300000,-40)]
+ [(10,-10),(-3,-4)]            | [(11,22),(33,44)]
+ [(10,-10),(-3,-4)]            | [(-10,2),(-10,3)]
+ [(10,-10),(-3,-4)]            | [(0,-20),(30,-20)]
+ [(10,-10),(-3,-4)]            | [(NaN,1),(NaN,90)]
+ [(-1000000,200),(300000,-40)] | [(1,2),(3,4)]
+ [(-1000000,200),(300000,-40)] | [(0,0),(6,6)]
+ [(-1000000,200),(300000,-40)] | [(10,-10),(-3,-4)]
+ [(-1000000,200),(300000,-40)] | [(11,22),(33,44)]
+ [(-1000000,200),(300000,-40)] | [(-10,2),(-10,3)]
+ [(-1000000,200),(300000,-40)] | [(0,-20),(30,-20)]
+ [(-1000000,200),(300000,-40)] | [(NaN,1),(NaN,90)]
+ [(11,22),(33,44)]             | [(1,2),(3,4)]
+ [(11,22),(33,44)]             | [(0,0),(6,6)]
+ [(11,22),(33,44)]             | [(10,-10),(-3,-4)]
+ [(11,22),(33,44)]             | [(-1000000,200),(300000,-40)]
+ [(11,22),(33,44)]             | [(-10,2),(-10,3)]
+ [(11,22),(33,44)]             | [(0,-20),(30,-20)]
+ [(11,22),(33,44)]             | [(NaN,1),(NaN,90)]
+ [(-10,2),(-10,3)]             | [(1,2),(3,4)]
+ [(-10,2),(-10,3)]             | [(0,0),(6,6)]
+ [(-10,2),(-10,3)]             | [(10,-10),(-3,-4)]
+ [(-10,2),(-10,3)]             | [(-1000000,200),(300000,-40)]
+ [(-10,2),(-10,3)]             | [(11,22),(33,44)]
+ [(-10,2),(-10,3)]             | [(0,-20),(30,-20)]
+ [(-10,2),(-10,3)]             | [(NaN,1),(NaN,90)]
+ [(0,-20),(30,-20)]            | [(1,2),(3,4)]
+ [(0,-20),(30,-20)]            | [(0,0),(6,6)]
+ [(0,-20),(30,-20)]            | [(10,-10),(-3,-4)]
+ [(0,-20),(30,-20)]            | [(-1000000,200),(300000,-40)]
+ [(0,-20),(30,-20)]            | [(11,22),(33,44)]
+ [(0,-20),(30,-20)]            | [(-10,2),(-10,3)]
+ [(0,-20),(30,-20)]            | [(NaN,1),(NaN,90)]
+ [(NaN,1),(NaN,90)]            | [(1,2),(3,4)]
+ [(NaN,1),(NaN,90)]            | [(0,0),(6,6)]
+ [(NaN,1),(NaN,90)]            | [(10,-10),(-3,-4)]
+ [(NaN,1),(NaN,90)]            | [(-1000000,200),(300000,-40)]
+ [(NaN,1),(NaN,90)]            | [(11,22),(33,44)]
+ [(NaN,1),(NaN,90)]            | [(-10,2),(-10,3)]
+ [(NaN,1),(NaN,90)]            | [(0,-20),(30,-20)]
+(56 rows)
+
+-- Parallel with line segment
+SELECT l1.s, l2.s FROM LSEG_TBL l1, LSEG_TBL l2 WHERE l1.s ?|| l2.s;
+               s               |               s               
+-------------------------------+-------------------------------
+ [(1,2),(3,4)]                 | [(1,2),(3,4)]
+ [(1,2),(3,4)]                 | [(0,0),(6,6)]
+ [(1,2),(3,4)]                 | [(11,22),(33,44)]
+ [(0,0),(6,6)]                 | [(1,2),(3,4)]
+ [(0,0),(6,6)]                 | [(0,0),(6,6)]
+ [(0,0),(6,6)]                 | [(11,22),(33,44)]
+ [(10,-10),(-3,-4)]            | [(10,-10),(-3,-4)]
+ [(-1000000,200),(300000,-40)] | [(-1000000,200),(300000,-40)]
+ [(11,22),(33,44)]             | [(1,2),(3,4)]
+ [(11,22),(33,44)]             | [(0,0),(6,6)]
+ [(11,22),(33,44)]             | [(11,22),(33,44)]
+ [(-10,2),(-10,3)]             | [(-10,2),(-10,3)]
+ [(0,-20),(30,-20)]            | [(0,-20),(30,-20)]
+(13 rows)
+
+-- Perpendicular with line segment
+SELECT l1.s, l2.s FROM LSEG_TBL l1, LSEG_TBL l2 WHERE l1.s ?-| l2.s;
+         s          |         s          
+--------------------+--------------------
+ [(-10,2),(-10,3)]  | [(0,-20),(30,-20)]
+ [(0,-20),(30,-20)] | [(-10,2),(-10,3)]
+(2 rows)
+
+-- Distance to line
+SELECT l.s, l1.s, l.s <-> l1.s FROM LSEG_TBL l, LINE_TBL l1;
+               s               |                   s                   |    ?column?    
+-------------------------------+---------------------------------------+----------------
+ [(1,2),(3,4)]                 | {0,-1,5}                              |              1
+ [(0,0),(6,6)]                 | {0,-1,5}                              |              0
+ [(10,-10),(-3,-4)]            | {0,-1,5}                              |              9
+ [(-1000000,200),(300000,-40)] | {0,-1,5}                              |              0
+ [(11,22),(33,44)]             | {0,-1,5}                              |             17
+ [(-10,2),(-10,3)]             | {0,-1,5}                              |              2
+ [(0,-20),(30,-20)]            | {0,-1,5}                              |             25
+ [(NaN,1),(NaN,90)]            | {0,-1,5}                              |            NaN
+ [(1,2),(3,4)]                 | {1,0,5}                               |              6
+ [(0,0),(6,6)]                 | {1,0,5}                               |              5
+ [(10,-10),(-3,-4)]            | {1,0,5}                               |              2
+ [(-1000000,200),(300000,-40)] | {1,0,5}                               |              0
+ [(11,22),(33,44)]             | {1,0,5}                               |             16
+ [(-10,2),(-10,3)]             | {1,0,5}                               |              5
+ [(0,-20),(30,-20)]            | {1,0,5}                               |              5
+ [(NaN,1),(NaN,90)]            | {1,0,5}                               |            NaN
+ [(1,2),(3,4)]                 | {0,3,0}                               |              2
+ [(0,0),(6,6)]                 | {0,3,0}                               |              0
+ [(10,-10),(-3,-4)]            | {0,3,0}                               |              4
+ [(-1000000,200),(300000,-40)] | {0,3,0}                               |              0
+ [(11,22),(33,44)]             | {0,3,0}                               |             22
+ [(-10,2),(-10,3)]             | {0,3,0}                               |              2
+ [(0,-20),(30,-20)]            | {0,3,0}                               |             20
+ [(NaN,1),(NaN,90)]            | {0,3,0}                               |            NaN
+ [(1,2),(3,4)]                 | {1,-1,0}                              | 0.707106781187
+ [(0,0),(6,6)]                 | {1,-1,0}                              |              0
+ [(10,-10),(-3,-4)]            | {1,-1,0}                              | 0.707106781187
+ [(-1000000,200),(300000,-40)] | {1,-1,0}                              |              0
+ [(11,22),(33,44)]             | {1,-1,0}                              |  7.77817459305
+ [(-10,2),(-10,3)]             | {1,-1,0}                              |  8.48528137424
+ [(0,-20),(30,-20)]            | {1,-1,0}                              |  14.1421356237
+ [(NaN,1),(NaN,90)]            | {1,-1,0}                              |            NaN
+ [(1,2),(3,4)]                 | {-0.4,-1,-6}                          |  7.79920420344
+ [(0,0),(6,6)]                 | {-0.4,-1,-6}                          |  5.57086014531
+ [(10,-10),(-3,-4)]            | {-0.4,-1,-6}                          |              0
+ [(-1000000,200),(300000,-40)] | {-0.4,-1,-6}                          |              0
+ [(11,22),(33,44)]             | {-0.4,-1,-6}                          |  30.0826447847
+ [(-10,2),(-10,3)]             | {-0.4,-1,-6}                          |  3.71390676354
+ [(0,-20),(30,-20)]            | {-0.4,-1,-6}                          |  1.85695338177
+ [(NaN,1),(NaN,90)]            | {-0.4,-1,-6}                          |            NaN
+ [(1,2),(3,4)]                 | {-0.000184615384615,-1,15.3846153846} |  11.3840613445
+ [(0,0),(6,6)]                 | {-0.000184615384615,-1,15.3846153846} |   9.3835075324
+ [(10,-10),(-3,-4)]            | {-0.000184615384615,-1,15.3846153846} |  19.3851689004
+ [(-1000000,200),(300000,-40)] | {-0.000184615384615,-1,15.3846153846} |              0
+ [(11,22),(33,44)]             | {-0.000184615384615,-1,15.3846153846} |  6.61741527185
+ [(-10,2),(-10,3)]             | {-0.000184615384615,-1,15.3846153846} |  12.3864613274
+ [(0,-20),(30,-20)]            | {-0.000184615384615,-1,15.3846153846} |  35.3790763202
+ [(NaN,1),(NaN,90)]            | {-0.000184615384615,-1,15.3846153846} |            NaN
+ [(1,2),(3,4)]                 | {3,NaN,5}                             |            NaN
+ [(0,0),(6,6)]                 | {3,NaN,5}                             |            NaN
+ [(10,-10),(-3,-4)]            | {3,NaN,5}                             |            NaN
+ [(-1000000,200),(300000,-40)] | {3,NaN,5}                             |            NaN
+ [(11,22),(33,44)]             | {3,NaN,5}                             |            NaN
+ [(-10,2),(-10,3)]             | {3,NaN,5}                             |            NaN
+ [(0,-20),(30,-20)]            | {3,NaN,5}                             |            NaN
+ [(NaN,1),(NaN,90)]            | {3,NaN,5}                             |            NaN
+ [(1,2),(3,4)]                 | {NaN,NaN,NaN}                         |            NaN
+ [(0,0),(6,6)]                 | {NaN,NaN,NaN}                         |            NaN
+ [(10,-10),(-3,-4)]            | {NaN,NaN,NaN}                         |            NaN
+ [(-1000000,200),(300000,-40)] | {NaN,NaN,NaN}                         |            NaN
+ [(11,22),(33,44)]             | {NaN,NaN,NaN}                         |            NaN
+ [(-10,2),(-10,3)]             | {NaN,NaN,NaN}                         |            NaN
+ [(0,-20),(30,-20)]            | {NaN,NaN,NaN}                         |            NaN
+ [(NaN,1),(NaN,90)]            | {NaN,NaN,NaN}                         |            NaN
+ [(1,2),(3,4)]                 | {0,-1,3}                              |              0
+ [(0,0),(6,6)]                 | {0,-1,3}                              |              0
+ [(10,-10),(-3,-4)]            | {0,-1,3}                              |              7
+ [(-1000000,200),(300000,-40)] | {0,-1,3}                              |              0
+ [(11,22),(33,44)]             | {0,-1,3}                              |             19
+ [(-10,2),(-10,3)]             | {0,-1,3}                              |              0
+ [(0,-20),(30,-20)]            | {0,-1,3}                              |             23
+ [(NaN,1),(NaN,90)]            | {0,-1,3}                              |            NaN
+ [(1,2),(3,4)]                 | {-1,0,3}                              |              0
+ [(0,0),(6,6)]                 | {-1,0,3}                              |              0
+ [(10,-10),(-3,-4)]            | {-1,0,3}                              |              0
+ [(-1000000,200),(300000,-40)] | {-1,0,3}                              |              0
+ [(11,22),(33,44)]             | {-1,0,3}                              |              8
+ [(-10,2),(-10,3)]             | {-1,0,3}                              |             13
+ [(0,-20),(30,-20)]            | {-1,0,3}                              |              0
+ [(NaN,1),(NaN,90)]            | {-1,0,3}                              |            NaN
+(80 rows)
+
+-- Distance to line segment
+SELECT l1.s, l2.s, l1.s <-> l2.s FROM LSEG_TBL l1, LSEG_TBL l2;
+               s               |               s               |    ?column?    
+-------------------------------+-------------------------------+----------------
+ [(1,2),(3,4)]                 | [(1,2),(3,4)]                 |              0
+ [(1,2),(3,4)]                 | [(0,0),(6,6)]                 | 0.707106781187
+ [(1,2),(3,4)]                 | [(10,-10),(-3,-4)]            |  7.12398901685
+ [(1,2),(3,4)]                 | [(-1000000,200),(300000,-40)] |  11.3840613445
+ [(1,2),(3,4)]                 | [(11,22),(33,44)]             |  19.6977156036
+ [(1,2),(3,4)]                 | [(-10,2),(-10,3)]             |             11
+ [(1,2),(3,4)]                 | [(0,-20),(30,-20)]            |             22
+ [(1,2),(3,4)]                 | [(NaN,1),(NaN,90)]            |            NaN
+ [(0,0),(6,6)]                 | [(1,2),(3,4)]                 | 0.707106781187
+ [(0,0),(6,6)]                 | [(0,0),(6,6)]                 |              0
+ [(0,0),(6,6)]                 | [(10,-10),(-3,-4)]            |  4.88901207039
+ [(0,0),(6,6)]                 | [(-1000000,200),(300000,-40)] |   9.3835075324
+ [(0,0),(6,6)]                 | [(11,22),(33,44)]             |  16.7630546142
+ [(0,0),(6,6)]                 | [(-10,2),(-10,3)]             |  10.1980390272
+ [(0,0),(6,6)]                 | [(0,-20),(30,-20)]            |             20
+ [(0,0),(6,6)]                 | [(NaN,1),(NaN,90)]            |            NaN
+ [(10,-10),(-3,-4)]            | [(1,2),(3,4)]                 |  7.12398901685
+ [(10,-10),(-3,-4)]            | [(0,0),(6,6)]                 |  4.88901207039
+ [(10,-10),(-3,-4)]            | [(10,-10),(-3,-4)]            |              0
+ [(10,-10),(-3,-4)]            | [(-1000000,200),(300000,-40)] |  19.3851689004
+ [(10,-10),(-3,-4)]            | [(11,22),(33,44)]             |  29.4737584815
+ [(10,-10),(-3,-4)]            | [(-10,2),(-10,3)]             |  9.21954445729
+ [(10,-10),(-3,-4)]            | [(0,-20),(30,-20)]            |             10
+ [(10,-10),(-3,-4)]            | [(NaN,1),(NaN,90)]            |            NaN
+ [(-1000000,200),(300000,-40)] | [(1,2),(3,4)]                 |  11.3840613445
+ [(-1000000,200),(300000,-40)] | [(0,0),(6,6)]                 |   9.3835075324
+ [(-1000000,200),(300000,-40)] | [(10,-10),(-3,-4)]            |  19.3851689004
+ [(-1000000,200),(300000,-40)] | [(-1000000,200),(300000,-40)] |              0
+ [(-1000000,200),(300000,-40)] | [(11,22),(33,44)]             |  6.61741527185
+ [(-1000000,200),(300000,-40)] | [(-10,2),(-10,3)]             |  12.3864613274
+ [(-1000000,200),(300000,-40)] | [(0,-20),(30,-20)]            |  35.3790763202
+ [(-1000000,200),(300000,-40)] | [(NaN,1),(NaN,90)]            |            NaN
+ [(11,22),(33,44)]             | [(1,2),(3,4)]                 |  19.6977156036
+ [(11,22),(33,44)]             | [(0,0),(6,6)]                 |  16.7630546142
+ [(11,22),(33,44)]             | [(10,-10),(-3,-4)]            |  29.4737584815
+ [(11,22),(33,44)]             | [(-1000000,200),(300000,-40)] |  6.61741527185
+ [(11,22),(33,44)]             | [(11,22),(33,44)]             |              0
+ [(11,22),(33,44)]             | [(-10,2),(-10,3)]             |   28.319604517
+ [(11,22),(33,44)]             | [(0,-20),(30,-20)]            |             42
+ [(11,22),(33,44)]             | [(NaN,1),(NaN,90)]            |            NaN
+ [(-10,2),(-10,3)]             | [(1,2),(3,4)]                 |             11
+ [(-10,2),(-10,3)]             | [(0,0),(6,6)]                 |  10.1980390272
+ [(-10,2),(-10,3)]             | [(10,-10),(-3,-4)]            |  9.21954445729
+ [(-10,2),(-10,3)]             | [(-1000000,200),(300000,-40)] |  12.3864613274
+ [(-10,2),(-10,3)]             | [(11,22),(33,44)]             |   28.319604517
+ [(-10,2),(-10,3)]             | [(-10,2),(-10,3)]             |              0
+ [(-10,2),(-10,3)]             | [(0,-20),(30,-20)]            |  24.1660919472
+ [(-10,2),(-10,3)]             | [(NaN,1),(NaN,90)]            |            NaN
+ [(0,-20),(30,-20)]            | [(1,2),(3,4)]                 |             22
+ [(0,-20),(30,-20)]            | [(0,0),(6,6)]                 |             20
+ [(0,-20),(30,-20)]            | [(10,-10),(-3,-4)]            |             10
+ [(0,-20),(30,-20)]            | [(-1000000,200),(300000,-40)] |  35.3790763202
+ [(0,-20),(30,-20)]            | [(11,22),(33,44)]             |             42
+ [(0,-20),(30,-20)]            | [(-10,2),(-10,3)]             |  24.1660919472
+ [(0,-20),(30,-20)]            | [(0,-20),(30,-20)]            |              0
+ [(0,-20),(30,-20)]            | [(NaN,1),(NaN,90)]            |            NaN
+ [(NaN,1),(NaN,90)]            | [(1,2),(3,4)]                 |            NaN
+ [(NaN,1),(NaN,90)]            | [(0,0),(6,6)]                 |            NaN
+ [(NaN,1),(NaN,90)]            | [(10,-10),(-3,-4)]            |            NaN
+ [(NaN,1),(NaN,90)]            | [(-1000000,200),(300000,-40)] |            NaN
+ [(NaN,1),(NaN,90)]            | [(11,22),(33,44)]             |            NaN
+ [(NaN,1),(NaN,90)]            | [(-10,2),(-10,3)]             |            NaN
+ [(NaN,1),(NaN,90)]            | [(0,-20),(30,-20)]            |            NaN
+ [(NaN,1),(NaN,90)]            | [(NaN,1),(NaN,90)]            |            NaN
+(64 rows)
+
+-- Distance to box
+SELECT l.s, b.f1, l.s <-> b.f1 FROM LSEG_TBL l, BOX_TBL b;
+               s               |         f1          |    ?column?    
+-------------------------------+---------------------+----------------
+ [(1,2),(3,4)]                 | (2,2),(0,0)         |              0
+ [(1,2),(3,4)]                 | (3,3),(1,1)         |              0
+ [(1,2),(3,4)]                 | (-2,2),(-8,-10)     |              3
+ [(1,2),(3,4)]                 | (2.5,3.5),(2.5,2.5) |              0
+ [(1,2),(3,4)]                 | (3,3),(3,3)         | 0.707106781187
+ [(0,0),(6,6)]                 | (2,2),(0,0)         |              0
+ [(0,0),(6,6)]                 | (3,3),(1,1)         |              0
+ [(0,0),(6,6)]                 | (-2,2),(-8,-10)     |              2
+ [(0,0),(6,6)]                 | (2.5,3.5),(2.5,2.5) |              0
+ [(0,0),(6,6)]                 | (3,3),(3,3)         |              0
+ [(10,-10),(-3,-4)]            | (2,2),(0,0)         |  4.88901207039
+ [(10,-10),(-3,-4)]            | (3,3),(1,1)         |  6.21602963235
+ [(10,-10),(-3,-4)]            | (-2,2),(-8,-10)     |              0
+ [(10,-10),(-3,-4)]            | (2.5,3.5),(2.5,2.5) |  8.20655597529
+ [(10,-10),(-3,-4)]            | (3,3),(3,3)         |  8.87006475627
+ [(-1000000,200),(300000,-40)] | (2,2),(0,0)         |  13.3842459258
+ [(-1000000,200),(300000,-40)] | (3,3),(1,1)         |  12.3840613274
+ [(-1000000,200),(300000,-40)] | (-2,2),(-8,-10)     |  13.3849843873
+ [(-1000000,200),(300000,-40)] | (2.5,3.5),(2.5,2.5) |  11.8841536436
+ [(-1000000,200),(300000,-40)] | (3,3),(3,3)         |  12.3840613274
+ [(11,22),(33,44)]             | (2,2),(0,0)         |  21.9317121995
+ [(11,22),(33,44)]             | (3,3),(1,1)         |  20.6155281281
+ [(11,22),(33,44)]             | (-2,2),(-8,-10)     |  23.8537208838
+ [(11,22),(33,44)]             | (2.5,3.5),(2.5,2.5) |  20.3592730715
+ [(11,22),(33,44)]             | (3,3),(3,3)         |  20.6155281281
+ [(-10,2),(-10,3)]             | (2,2),(0,0)         |             10
+ [(-10,2),(-10,3)]             | (3,3),(1,1)         |             11
+ [(-10,2),(-10,3)]             | (-2,2),(-8,-10)     |              2
+ [(-10,2),(-10,3)]             | (2.5,3.5),(2.5,2.5) |           12.5
+ [(-10,2),(-10,3)]             | (3,3),(3,3)         |             13
+ [(0,-20),(30,-20)]            | (2,2),(0,0)         |             20
+ [(0,-20),(30,-20)]            | (3,3),(1,1)         |             21
+ [(0,-20),(30,-20)]            | (-2,2),(-8,-10)     |  10.1980390272
+ [(0,-20),(30,-20)]            | (2.5,3.5),(2.5,2.5) |           22.5
+ [(0,-20),(30,-20)]            | (3,3),(3,3)         |             23
+ [(NaN,1),(NaN,90)]            | (2,2),(0,0)         |            NaN
+ [(NaN,1),(NaN,90)]            | (3,3),(1,1)         |            NaN
+ [(NaN,1),(NaN,90)]            | (-2,2),(-8,-10)     |            NaN
+ [(NaN,1),(NaN,90)]            | (2.5,3.5),(2.5,2.5) |            NaN
+ [(NaN,1),(NaN,90)]            | (3,3),(3,3)         |            NaN
+(40 rows)
+
+-- Intersect with line segment
+SELECT l.s, l1.s FROM LSEG_TBL l, LINE_TBL l1 WHERE l.s ?# l1.s;
+               s               |      s       
+-------------------------------+--------------
+ [(0,0),(6,6)]                 | {0,-1,5}
+ [(-1000000,200),(300000,-40)] | {0,-1,5}
+ [(-1000000,200),(300000,-40)] | {1,0,5}
+ [(0,0),(6,6)]                 | {0,3,0}
+ [(-1000000,200),(300000,-40)] | {0,3,0}
+ [(-1000000,200),(300000,-40)] | {1,-1,0}
+ [(10,-10),(-3,-4)]            | {-0.4,-1,-6}
+ [(-1000000,200),(300000,-40)] | {-0.4,-1,-6}
+ [(1,2),(3,4)]                 | {0,-1,3}
+ [(0,0),(6,6)]                 | {0,-1,3}
+ [(-1000000,200),(300000,-40)] | {0,-1,3}
+ [(-10,2),(-10,3)]             | {0,-1,3}
+ [(1,2),(3,4)]                 | {-1,0,3}
+ [(0,0),(6,6)]                 | {-1,0,3}
+ [(10,-10),(-3,-4)]            | {-1,0,3}
+ [(-1000000,200),(300000,-40)] | {-1,0,3}
+ [(0,-20),(30,-20)]            | {-1,0,3}
+(17 rows)
+
+-- Intersect with box
+SELECT l.s, b.f1 FROM LSEG_TBL l, BOX_TBL b WHERE l.s ?# b.f1;
+         s          |         f1          
+--------------------+---------------------
+ [(1,2),(3,4)]      | (2,2),(0,0)
+ [(1,2),(3,4)]      | (3,3),(1,1)
+ [(1,2),(3,4)]      | (2.5,3.5),(2.5,2.5)
+ [(0,0),(6,6)]      | (2,2),(0,0)
+ [(0,0),(6,6)]      | (3,3),(1,1)
+ [(0,0),(6,6)]      | (2.5,3.5),(2.5,2.5)
+ [(0,0),(6,6)]      | (3,3),(3,3)
+ [(10,-10),(-3,-4)] | (-2,2),(-8,-10)
+(8 rows)
+
+-- Intersection point with line segment
+SELECT l1.s, l2.s, l1.s # l2.s FROM LSEG_TBL l1, LSEG_TBL l2;
+               s               |               s               | ?column? 
+-------------------------------+-------------------------------+----------
+ [(1,2),(3,4)]                 | [(1,2),(3,4)]                 | 
+ [(1,2),(3,4)]                 | [(0,0),(6,6)]                 | 
+ [(1,2),(3,4)]                 | [(10,-10),(-3,-4)]            | 
+ [(1,2),(3,4)]                 | [(-1000000,200),(300000,-40)] | 
+ [(1,2),(3,4)]                 | [(11,22),(33,44)]             | 
+ [(1,2),(3,4)]                 | [(-10,2),(-10,3)]             | 
+ [(1,2),(3,4)]                 | [(0,-20),(30,-20)]            | 
+ [(1,2),(3,4)]                 | [(NaN,1),(NaN,90)]            | 
+ [(0,0),(6,6)]                 | [(1,2),(3,4)]                 | 
+ [(0,0),(6,6)]                 | [(0,0),(6,6)]                 | 
+ [(0,0),(6,6)]                 | [(10,-10),(-3,-4)]            | 
+ [(0,0),(6,6)]                 | [(-1000000,200),(300000,-40)] | 
+ [(0,0),(6,6)]                 | [(11,22),(33,44)]             | 
+ [(0,0),(6,6)]                 | [(-10,2),(-10,3)]             | 
+ [(0,0),(6,6)]                 | [(0,-20),(30,-20)]            | 
+ [(0,0),(6,6)]                 | [(NaN,1),(NaN,90)]            | 
+ [(10,-10),(-3,-4)]            | [(1,2),(3,4)]                 | 
+ [(10,-10),(-3,-4)]            | [(0,0),(6,6)]                 | 
+ [(10,-10),(-3,-4)]            | [(10,-10),(-3,-4)]            | 
+ [(10,-10),(-3,-4)]            | [(-1000000,200),(300000,-40)] | 
+ [(10,-10),(-3,-4)]            | [(11,22),(33,44)]             | 
+ [(10,-10),(-3,-4)]            | [(-10,2),(-10,3)]             | 
+ [(10,-10),(-3,-4)]            | [(0,-20),(30,-20)]            | 
+ [(10,-10),(-3,-4)]            | [(NaN,1),(NaN,90)]            | 
+ [(-1000000,200),(300000,-40)] | [(1,2),(3,4)]                 | 
+ [(-1000000,200),(300000,-40)] | [(0,0),(6,6)]                 | 
+ [(-1000000,200),(300000,-40)] | [(10,-10),(-3,-4)]            | 
+ [(-1000000,200),(300000,-40)] | [(-1000000,200),(300000,-40)] | 
+ [(-1000000,200),(300000,-40)] | [(11,22),(33,44)]             | 
+ [(-1000000,200),(300000,-40)] | [(-10,2),(-10,3)]             | 
+ [(-1000000,200),(300000,-40)] | [(0,-20),(30,-20)]            | 
+ [(-1000000,200),(300000,-40)] | [(NaN,1),(NaN,90)]            | 
+ [(11,22),(33,44)]             | [(1,2),(3,4)]                 | 
+ [(11,22),(33,44)]             | [(0,0),(6,6)]                 | 
+ [(11,22),(33,44)]             | [(10,-10),(-3,-4)]            | 
+ [(11,22),(33,44)]             | [(-1000000,200),(300000,-40)] | 
+ [(11,22),(33,44)]             | [(11,22),(33,44)]             | 
+ [(11,22),(33,44)]             | [(-10,2),(-10,3)]             | 
+ [(11,22),(33,44)]             | [(0,-20),(30,-20)]            | 
+ [(11,22),(33,44)]             | [(NaN,1),(NaN,90)]            | 
+ [(-10,2),(-10,3)]             | [(1,2),(3,4)]                 | 
+ [(-10,2),(-10,3)]             | [(0,0),(6,6)]                 | 
+ [(-10,2),(-10,3)]             | [(10,-10),(-3,-4)]            | 
+ [(-10,2),(-10,3)]             | [(-1000000,200),(300000,-40)] | 
+ [(-10,2),(-10,3)]             | [(11,22),(33,44)]             | 
+ [(-10,2),(-10,3)]             | [(-10,2),(-10,3)]             | 
+ [(-10,2),(-10,3)]             | [(0,-20),(30,-20)]            | 
+ [(-10,2),(-10,3)]             | [(NaN,1),(NaN,90)]            | 
+ [(0,-20),(30,-20)]            | [(1,2),(3,4)]                 | 
+ [(0,-20),(30,-20)]            | [(0,0),(6,6)]                 | 
+ [(0,-20),(30,-20)]            | [(10,-10),(-3,-4)]            | 
+ [(0,-20),(30,-20)]            | [(-1000000,200),(300000,-40)] | 
+ [(0,-20),(30,-20)]            | [(11,22),(33,44)]             | 
+ [(0,-20),(30,-20)]            | [(-10,2),(-10,3)]             | 
+ [(0,-20),(30,-20)]            | [(0,-20),(30,-20)]            | 
+ [(0,-20),(30,-20)]            | [(NaN,1),(NaN,90)]            | 
+ [(NaN,1),(NaN,90)]            | [(1,2),(3,4)]                 | 
+ [(NaN,1),(NaN,90)]            | [(0,0),(6,6)]                 | 
+ [(NaN,1),(NaN,90)]            | [(10,-10),(-3,-4)]            | 
+ [(NaN,1),(NaN,90)]            | [(-1000000,200),(300000,-40)] | 
+ [(NaN,1),(NaN,90)]            | [(11,22),(33,44)]             | 
+ [(NaN,1),(NaN,90)]            | [(-10,2),(-10,3)]             | 
+ [(NaN,1),(NaN,90)]            | [(0,-20),(30,-20)]            | 
+ [(NaN,1),(NaN,90)]            | [(NaN,1),(NaN,90)]            | 
+(64 rows)
+
+-- Closest point to line
+SELECT l.s, l1.s, l.s ## l1.s FROM LSEG_TBL l, LINE_TBL l1;
+ERROR:  function "close_sl" not implemented
+-- Closest point to line segment
+SELECT l1.s, l2.s, l1.s ## l2.s FROM LSEG_TBL l1, LSEG_TBL l2;
+               s               |               s               |            ?column?             
+-------------------------------+-------------------------------+---------------------------------
+ [(1,2),(3,4)]                 | [(1,2),(3,4)]                 | 
+ [(1,2),(3,4)]                 | [(0,0),(6,6)]                 | 
+ [(1,2),(3,4)]                 | [(10,-10),(-3,-4)]            | (-1.98536585366,-4.46829268293)
+ [(1,2),(3,4)]                 | [(-1000000,200),(300000,-40)] | (3.00210167283,15.3840611505)
+ [(1,2),(3,4)]                 | [(11,22),(33,44)]             | 
+ [(1,2),(3,4)]                 | [(-10,2),(-10,3)]             | (-10,2)
+ [(1,2),(3,4)]                 | [(0,-20),(30,-20)]            | (1,-20)
+ [(1,2),(3,4)]                 | [(NaN,1),(NaN,90)]            | 
+ [(0,0),(6,6)]                 | [(1,2),(3,4)]                 | 
+ [(0,0),(6,6)]                 | [(0,0),(6,6)]                 | 
+ [(0,0),(6,6)]                 | [(10,-10),(-3,-4)]            | (-2.0487804878,-4.43902439024)
+ [(0,0),(6,6)]                 | [(-1000000,200),(300000,-40)] | (6.00173233982,15.3835073725)
+ [(0,0),(6,6)]                 | [(11,22),(33,44)]             | 
+ [(0,0),(6,6)]                 | [(-10,2),(-10,3)]             | (-10,2)
+ [(0,0),(6,6)]                 | [(0,-20),(30,-20)]            | (0,-20)
+ [(0,0),(6,6)]                 | [(NaN,1),(NaN,90)]            | 
+ [(10,-10),(-3,-4)]            | [(1,2),(3,4)]                 | (1,2)
+ [(10,-10),(-3,-4)]            | [(0,0),(6,6)]                 | (0,0)
+ [(10,-10),(-3,-4)]            | [(10,-10),(-3,-4)]            | 
+ [(10,-10),(-3,-4)]            | [(-1000000,200),(300000,-40)] | (-2.99642119965,15.3851685701)
+ [(10,-10),(-3,-4)]            | [(11,22),(33,44)]             | (11,22)
+ [(10,-10),(-3,-4)]            | [(-10,2),(-10,3)]             | (-10,2)
+ [(10,-10),(-3,-4)]            | [(0,-20),(30,-20)]            | (10,-20)
+ [(10,-10),(-3,-4)]            | [(NaN,1),(NaN,90)]            | 
+ [(-1000000,200),(300000,-40)] | [(1,2),(3,4)]                 | (3,4)
+ [(-1000000,200),(300000,-40)] | [(0,0),(6,6)]                 | (6,6)
+ [(-1000000,200),(300000,-40)] | [(10,-10),(-3,-4)]            | (-3,-4)
+ [(-1000000,200),(300000,-40)] | [(-1000000,200),(300000,-40)] | 
+ [(-1000000,200),(300000,-40)] | [(11,22),(33,44)]             | (11,22)
+ [(-1000000,200),(300000,-40)] | [(-10,2),(-10,3)]             | (-10,3)
+ [(-1000000,200),(300000,-40)] | [(0,-20),(30,-20)]            | (30,-20)
+ [(-1000000,200),(300000,-40)] | [(NaN,1),(NaN,90)]            | 
+ [(11,22),(33,44)]             | [(1,2),(3,4)]                 | 
+ [(11,22),(33,44)]             | [(0,0),(6,6)]                 | 
+ [(11,22),(33,44)]             | [(10,-10),(-3,-4)]            | (-1.3512195122,-4.76097560976)
+ [(11,22),(33,44)]             | [(-1000000,200),(300000,-40)] | (10.9987783234,15.3825848409)
+ [(11,22),(33,44)]             | [(11,22),(33,44)]             | 
+ [(11,22),(33,44)]             | [(-10,2),(-10,3)]             | (-10,3)
+ [(11,22),(33,44)]             | [(0,-20),(30,-20)]            | (11,-20)
+ [(11,22),(33,44)]             | [(NaN,1),(NaN,90)]            | 
+ [(-10,2),(-10,3)]             | [(1,2),(3,4)]                 | (1,2)
+ [(-10,2),(-10,3)]             | [(0,0),(6,6)]                 | (0,0)
+ [(-10,2),(-10,3)]             | [(10,-10),(-3,-4)]            | (-3,-4)
+ [(-10,2),(-10,3)]             | [(-1000000,200),(300000,-40)] | (-9.99771326872,15.3864611163)
+ [(-10,2),(-10,3)]             | [(11,22),(33,44)]             | (11,22)
+ [(-10,2),(-10,3)]             | [(-10,2),(-10,3)]             | 
+ [(-10,2),(-10,3)]             | [(0,-20),(30,-20)]            | (0,-20)
+ [(-10,2),(-10,3)]             | [(NaN,1),(NaN,90)]            | 
+ [(0,-20),(30,-20)]            | [(1,2),(3,4)]                 | (1,2)
+ [(0,-20),(30,-20)]            | [(0,0),(6,6)]                 | (0,0)
+ [(0,-20),(30,-20)]            | [(10,-10),(-3,-4)]            | (10,-10)
+ [(0,-20),(30,-20)]            | [(-1000000,200),(300000,-40)] | (30.0065315217,15.3790757173)
+ [(0,-20),(30,-20)]            | [(11,22),(33,44)]             | (11,22)
+ [(0,-20),(30,-20)]            | [(-10,2),(-10,3)]             | (-10,2)
+ [(0,-20),(30,-20)]            | [(0,-20),(30,-20)]            | 
+ [(0,-20),(30,-20)]            | [(NaN,1),(NaN,90)]            | 
+ [(NaN,1),(NaN,90)]            | [(1,2),(3,4)]                 | 
+ [(NaN,1),(NaN,90)]            | [(0,0),(6,6)]                 | 
+ [(NaN,1),(NaN,90)]            | [(10,-10),(-3,-4)]            | 
+ [(NaN,1),(NaN,90)]            | [(-1000000,200),(300000,-40)] | 
+ [(NaN,1),(NaN,90)]            | [(11,22),(33,44)]             | 
+ [(NaN,1),(NaN,90)]            | [(-10,2),(-10,3)]             | 
+ [(NaN,1),(NaN,90)]            | [(0,-20),(30,-20)]            | 
+ [(NaN,1),(NaN,90)]            | [(NaN,1),(NaN,90)]            | 
+(64 rows)
+
+-- Closest point to box
+SELECT l.s, b.f1, l.s ## b.f1 FROM LSEG_TBL l, BOX_TBL b;
+               s               |         f1          |  ?column?   
+-------------------------------+---------------------+-------------
+ [(1,2),(3,4)]                 | (2,2),(0,0)         | (1,2)
+ [(1,2),(3,4)]                 | (3,3),(1,1)         | (1.5,2.5)
+ [(1,2),(3,4)]                 | (-2,2),(-8,-10)     | (-2,2)
+ [(1,2),(3,4)]                 | (2.5,3.5),(2.5,2.5) | (2.25,3.25)
+ [(1,2),(3,4)]                 | (3,3),(3,3)         | (3,3)
+ [(0,0),(6,6)]                 | (2,2),(0,0)         | (1,1)
+ [(0,0),(6,6)]                 | (3,3),(1,1)         | (2,2)
+ [(0,0),(6,6)]                 | (-2,2),(-8,-10)     | (-2,0)
+ [(0,0),(6,6)]                 | (2.5,3.5),(2.5,2.5) | (2.75,2.75)
+ [(0,0),(6,6)]                 | (3,3),(3,3)         | (3,3)
+ [(10,-10),(-3,-4)]            | (2,2),(0,0)         | (0,0)
+ [(10,-10),(-3,-4)]            | (3,3),(1,1)         | (1,1)
+ [(10,-10),(-3,-4)]            | (-2,2),(-8,-10)     | (-3,-4)
+ [(10,-10),(-3,-4)]            | (2.5,3.5),(2.5,2.5) | (2.5,2.5)
+ [(10,-10),(-3,-4)]            | (3,3),(3,3)         | (3,3)
+ [(-1000000,200),(300000,-40)] | (2,2),(0,0)         | (2,2)
+ [(-1000000,200),(300000,-40)] | (3,3),(1,1)         | (3,3)
+ [(-1000000,200),(300000,-40)] | (-2,2),(-8,-10)     | (-2,2)
+ [(-1000000,200),(300000,-40)] | (2.5,3.5),(2.5,2.5) | (2.5,3.5)
+ [(-1000000,200),(300000,-40)] | (3,3),(3,3)         | (3,3)
+ [(11,22),(33,44)]             | (2,2),(0,0)         | (2,2)
+ [(11,22),(33,44)]             | (3,3),(1,1)         | (3,3)
+ [(11,22),(33,44)]             | (-2,2),(-8,-10)     | (-2,2)
+ [(11,22),(33,44)]             | (2.5,3.5),(2.5,2.5) | (2.5,3.5)
+ [(11,22),(33,44)]             | (3,3),(3,3)         | (3,3)
+ [(-10,2),(-10,3)]             | (2,2),(0,0)         | (0,2)
+ [(-10,2),(-10,3)]             | (3,3),(1,1)         | (1,2)
+ [(-10,2),(-10,3)]             | (-2,2),(-8,-10)     | (-8,2)
+ [(-10,2),(-10,3)]             | (2.5,3.5),(2.5,2.5) | (2.5,3)
+ [(-10,2),(-10,3)]             | (3,3),(3,3)         | (3,3)
+ [(0,-20),(30,-20)]            | (2,2),(0,0)         | (0,0)
+ [(0,-20),(30,-20)]            | (3,3),(1,1)         | (1,1)
+ [(0,-20),(30,-20)]            | (-2,2),(-8,-10)     | (-2,-10)
+ [(0,-20),(30,-20)]            | (2.5,3.5),(2.5,2.5) | (2.5,2.5)
+ [(0,-20),(30,-20)]            | (3,3),(3,3)         | (3,3)
+ [(NaN,1),(NaN,90)]            | (2,2),(0,0)         | 
+ [(NaN,1),(NaN,90)]            | (3,3),(1,1)         | 
+ [(NaN,1),(NaN,90)]            | (-2,2),(-8,-10)     | 
+ [(NaN,1),(NaN,90)]            | (2.5,3.5),(2.5,2.5) | 
+ [(NaN,1),(NaN,90)]            | (3,3),(3,3)         | 
+(40 rows)
+
+-- On line
+SELECT l.s, l1.s FROM LSEG_TBL l, LINE_TBL l1 WHERE l.s <@ l1.s;
+               s               |                   s                   
+-------------------------------+---------------------------------------
+ [(0,0),(6,6)]                 | {1,-1,0}
+ [(-1000000,200),(300000,-40)] | {-0.000184615384615,-1,15.3846153846}
+(2 rows)
+
+-- On box
+SELECT l.s, b.f1 FROM LSEG_TBL l, BOX_TBL b WHERE l.s <@ b.f1;
+ s | f1 
+---+----
+(0 rows)
 
 --
 -- Boxes
@@ -157,138 +2301,176 @@ SELECT '' as six, box(f1) AS box FROM CIRCLE_TBL;
      | (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)
+     | (3,5),(3,5)
+     | (NaN,NaN),(NaN,NaN)
+(8 rows)
 
 -- translation
 SELECT '' AS twentyfour, b.f1 + p.f1 AS translation
    FROM BOX_TBL b, POINT_TBL p;
- twentyfour |       translation       
-------------+-------------------------
+ twentyfour |             translation             
+------------+-------------------------------------
             | (2,2),(0,0)
             | (3,3),(1,1)
+            | (-2,2),(-8,-10)
             | (2.5,3.5),(2.5,2.5)
             | (3,3),(3,3)
             | (-8,2),(-10,0)
             | (-7,3),(-9,1)
+            | (-12,2),(-18,-10)
             | (-7.5,3.5),(-7.5,2.5)
             | (-7,3),(-7,3)
             | (-1,6),(-3,4)
             | (0,7),(-2,5)
+            | (-5,6),(-11,-6)
             | (-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)
+            | (3.1,36.5),(-2.9,24.5)
             | (7.6,38),(7.6,37)
             | (8.1,37.5),(8.1,37.5)
             | (-3,-10),(-5,-12)
             | (-2,-9),(-4,-11)
+            | (-7,-10),(-13,-22)
             | (-2.5,-8.5),(-2.5,-9.5)
             | (-2,-9),(-2,-9)
+            | (2,2),(1e-300,-1e-300)
+            | (3,3),(1,1)
+            | (-2,2),(-8,-10)
+            | (2.5,3.5),(2.5,2.5)
+            | (3,3),(3,3)
+            | (1e+300,Infinity),(1e+300,Infinity)
+            | (1e+300,Infinity),(1e+300,Infinity)
+            | (1e+300,Infinity),(1e+300,Infinity)
+            | (1e+300,Infinity),(1e+300,Infinity)
+            | (1e+300,Infinity),(1e+300,Infinity)
+            | (NaN,NaN),(NaN,NaN)
+            | (NaN,NaN),(NaN,NaN)
+            | (NaN,NaN),(NaN,NaN)
+            | (NaN,NaN),(NaN,NaN)
+            | (NaN,NaN),(NaN,NaN)
             | (12,12),(10,10)
             | (13,13),(11,11)
+            | (8,12),(2,0)
             | (12.5,13.5),(12.5,12.5)
             | (13,13),(13,13)
-(24 rows)
+(45 rows)
 
 SELECT '' AS twentyfour, b.f1 - p.f1 AS translation
    FROM BOX_TBL b, POINT_TBL p;
- twentyfour |        translation        
-------------+---------------------------
+ twentyfour |               translation               
+------------+-----------------------------------------
             | (2,2),(0,0)
             | (3,3),(1,1)
+            | (-2,2),(-8,-10)
             | (2.5,3.5),(2.5,2.5)
             | (3,3),(3,3)
             | (12,2),(10,0)
             | (13,3),(11,1)
+            | (8,2),(2,-10)
             | (12.5,3.5),(12.5,2.5)
             | (13,3),(13,3)
             | (5,-2),(3,-4)
             | (6,-1),(4,-3)
+            | (1,-2),(-5,-14)
             | (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)
+            | (-7.1,-32.5),(-13.1,-44.5)
             | (-2.6,-31),(-2.6,-32)
             | (-2.1,-31.5),(-2.1,-31.5)
             | (7,14),(5,12)
             | (8,15),(6,13)
+            | (3,14),(-3,2)
             | (7.5,15.5),(7.5,14.5)
             | (8,15),(8,15)
+            | (2,2),(-1e-300,1e-300)
+            | (3,3),(1,1)
+            | (-2,2),(-8,-10)
+            | (2.5,3.5),(2.5,2.5)
+            | (3,3),(3,3)
+            | (-1e+300,-Infinity),(-1e+300,-Infinity)
+            | (-1e+300,-Infinity),(-1e+300,-Infinity)
+            | (-1e+300,-Infinity),(-1e+300,-Infinity)
+            | (-1e+300,-Infinity),(-1e+300,-Infinity)
+            | (-1e+300,-Infinity),(-1e+300,-Infinity)
+            | (NaN,NaN),(NaN,NaN)
+            | (NaN,NaN),(NaN,NaN)
+            | (NaN,NaN),(NaN,NaN)
+            | (NaN,NaN),(NaN,NaN)
+            | (NaN,NaN),(NaN,NaN)
             | (-8,-8),(-10,-10)
             | (-7,-7),(-9,-9)
+            | (-12,-8),(-18,-20)
             | (-7.5,-6.5),(-7.5,-7.5)
             | (-7,-7),(-7,-7)
-(24 rows)
+(45 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)
-        | (0.08,-0),(0,-0.56)
-        | (0.0651176557644,0),(0,-0.0483449262493)
-        | (-0,0.0828402366864),(-0.201183431953,0)
-        | (0.2,0),(0,0)
-        | (-0.1,-0.1),(-0.3,-0.3)
-        | (0.12,-0.28),(0.04,-0.84)
-        | (0.0976764836466,-0.0241724631247),(0.0325588278822,-0.072517389374)
-        | (-0.100591715976,0.12426035503),(-0.301775147929,0.0414201183432)
-        | (0.3,0),(0.1,0)
-        | (-0.25,-0.25),(-0.25,-0.35)
-        | (0.26,-0.7),(0.1,-0.82)
-        | (0.109762715209,-0.0562379754329),(0.0813970697055,-0.0604311578117)
-        | (-0.251479289941,0.103550295858),(-0.322485207101,0.0739644970414)
-        | (0.3,0.05),(0.25,0)
-        | (-0.3,-0.3),(-0.3,-0.3)
-        | (0.12,-0.84),(0.12,-0.84)
-        | (0.0976764836466,-0.072517389374),(0.0976764836466,-0.072517389374)
-        | (-0.301775147929,0.12426035503),(-0.301775147929,0.12426035503)
-        | (0.3,0),(0.3,0)
-(20 rows)
+-- Multiply with point
+SELECT b.f1, p.f1, b.f1 * p.f1 FROM BOX_TBL b, POINT_TBL p WHERE p.f1[0] BETWEEN 1 AND 1000;
+         f1          |     f1     |          ?column?           
+---------------------+------------+-----------------------------
+ (2,2),(0,0)         | (5.1,34.5) | (0,79.2),(-58.8,0)
+ (2,2),(0,0)         | (10,10)    | (0,40),(0,0)
+ (3,3),(1,1)         | (5.1,34.5) | (-29.4,118.8),(-88.2,39.6)
+ (3,3),(1,1)         | (10,10)    | (0,60),(0,20)
+ (-2,2),(-8,-10)     | (5.1,34.5) | (304.2,-58.8),(-79.2,-327)
+ (-2,2),(-8,-10)     | (10,10)    | (20,0),(-40,-180)
+ (2.5,3.5),(2.5,2.5) | (5.1,34.5) | (-73.5,104.1),(-108,99)
+ (2.5,3.5),(2.5,2.5) | (10,10)    | (0,60),(-10,50)
+ (3,3),(3,3)         | (5.1,34.5) | (-88.2,118.8),(-88.2,118.8)
+ (3,3),(3,3)         | (10,10)    | (0,60),(0,60)
+(10 rows)
+
+-- Overflow error
+SELECT b.f1, p.f1, b.f1 * p.f1 FROM BOX_TBL b, POINT_TBL p WHERE p.f1[0] > 1000;
+         f1          |        f1         |                  ?column?                  
+---------------------+-------------------+--------------------------------------------
+ (2,2),(0,0)         | (1e+300,Infinity) | (NaN,NaN),(-Infinity,Infinity)
+ (2,2),(0,0)         | (NaN,NaN)         | (NaN,NaN),(NaN,NaN)
+ (3,3),(1,1)         | (1e+300,Infinity) | (-Infinity,Infinity),(-Infinity,Infinity)
+ (3,3),(1,1)         | (NaN,NaN)         | (NaN,NaN),(NaN,NaN)
+ (-2,2),(-8,-10)     | (1e+300,Infinity) | (Infinity,-Infinity),(-Infinity,-Infinity)
+ (-2,2),(-8,-10)     | (NaN,NaN)         | (NaN,NaN),(NaN,NaN)
+ (2.5,3.5),(2.5,2.5) | (1e+300,Infinity) | (-Infinity,Infinity),(-Infinity,Infinity)
+ (2.5,3.5),(2.5,2.5) | (NaN,NaN)         | (NaN,NaN),(NaN,NaN)
+ (3,3),(3,3)         | (1e+300,Infinity) | (-Infinity,Infinity),(-Infinity,Infinity)
+ (3,3),(3,3)         | (NaN,NaN)         | (NaN,NaN),(NaN,NaN)
+(10 rows)
+
+-- Divide by point
+SELECT b.f1, p.f1, b.f1 / p.f1 FROM BOX_TBL b, POINT_TBL p WHERE p.f1[0] BETWEEN 1 AND 1000;
+         f1          |     f1     |                               ?column?                               
+---------------------+------------+----------------------------------------------------------------------
+ (2,2),(0,0)         | (5.1,34.5) | (0.0651176557644,0),(0,-0.0483449262493)
+ (2,2),(0,0)         | (10,10)    | (0.2,0),(0,0)
+ (3,3),(1,1)         | (5.1,34.5) | (0.0976764836466,-0.0241724631247),(0.0325588278822,-0.072517389374)
+ (3,3),(1,1)         | (10,10)    | (0.3,0),(0.1,0)
+ (-2,2),(-8,-10)     | (5.1,34.5) | (0.0483449262493,0.18499334024),(-0.317201914064,0.0651176557644)
+ (-2,2),(-8,-10)     | (10,10)    | (0,0.2),(-0.9,-0.1)
+ (2.5,3.5),(2.5,2.5) | (5.1,34.5) | (0.109762715209,-0.0562379754329),(0.0813970697055,-0.0604311578117)
+ (2.5,3.5),(2.5,2.5) | (10,10)    | (0.3,0.05),(0.25,0)
+ (3,3),(3,3)         | (5.1,34.5) | (0.0976764836466,-0.072517389374),(0.0976764836466,-0.072517389374)
+ (3,3),(3,3)         | (10,10)    | (0.3,0),(0.3,0)
+(10 rows)
 
+-- To box
 SELECT f1::box
    FROM POINT_TBL;
-          f1           
------------------------
+                 f1                  
+-------------------------------------
  (0,0),(0,0)
  (-10,0),(-10,0)
  (-3,4),(-3,4)
  (5.1,34.5),(5.1,34.5)
  (-5,-12),(-5,-12)
+ (1e-300,-1e-300),(1e-300,-1e-300)
+ (1e+300,Infinity),(1e+300,Infinity)
+ (NaN,NaN),(NaN,NaN)
  (10,10),(10,10)
-(6 rows)
+(9 rows)
 
 SELECT bound_box(a.f1, b.f1)
    FROM BOX_TBL a, BOX_TBL b;
@@ -296,76 +2478,935 @@ SELECT bound_box(a.f1, b.f1)
 ---------------------
  (2,2),(0,0)
  (3,3),(0,0)
+ (2,2),(-8,-10)
  (2.5,3.5),(0,0)
  (3,3),(0,0)
  (3,3),(0,0)
  (3,3),(1,1)
+ (3,3),(-8,-10)
  (3,3.5),(1,1)
  (3,3),(1,1)
+ (2,2),(-8,-10)
+ (3,3),(-8,-10)
+ (-2,2),(-8,-10)
+ (2.5,3.5),(-8,-10)
+ (3,3),(-8,-10)
  (2.5,3.5),(0,0)
  (3,3.5),(1,1)
+ (2.5,3.5),(-8,-10)
  (2.5,3.5),(2.5,2.5)
  (3,3.5),(2.5,2.5)
  (3,3),(0,0)
  (3,3),(1,1)
+ (3,3),(-8,-10)
  (3,3.5),(2.5,2.5)
  (3,3),(3,3)
-(16 rows)
+(25 rows)
+
+-- Below box
+SELECT b1.f1, b2.f1, b1.f1 <^ b2.f1 FROM BOX_TBL b1, BOX_TBL b2;
+         f1          |         f1          | ?column? 
+---------------------+---------------------+----------
+ (2,2),(0,0)         | (2,2),(0,0)         | f
+ (2,2),(0,0)         | (3,3),(1,1)         | f
+ (2,2),(0,0)         | (-2,2),(-8,-10)     | f
+ (2,2),(0,0)         | (2.5,3.5),(2.5,2.5) | t
+ (2,2),(0,0)         | (3,3),(3,3)         | t
+ (3,3),(1,1)         | (2,2),(0,0)         | f
+ (3,3),(1,1)         | (3,3),(1,1)         | f
+ (3,3),(1,1)         | (-2,2),(-8,-10)     | f
+ (3,3),(1,1)         | (2.5,3.5),(2.5,2.5) | f
+ (3,3),(1,1)         | (3,3),(3,3)         | t
+ (-2,2),(-8,-10)     | (2,2),(0,0)         | f
+ (-2,2),(-8,-10)     | (3,3),(1,1)         | f
+ (-2,2),(-8,-10)     | (-2,2),(-8,-10)     | f
+ (-2,2),(-8,-10)     | (2.5,3.5),(2.5,2.5) | t
+ (-2,2),(-8,-10)     | (3,3),(3,3)         | t
+ (2.5,3.5),(2.5,2.5) | (2,2),(0,0)         | f
+ (2.5,3.5),(2.5,2.5) | (3,3),(1,1)         | f
+ (2.5,3.5),(2.5,2.5) | (-2,2),(-8,-10)     | f
+ (2.5,3.5),(2.5,2.5) | (2.5,3.5),(2.5,2.5) | f
+ (2.5,3.5),(2.5,2.5) | (3,3),(3,3)         | f
+ (3,3),(3,3)         | (2,2),(0,0)         | f
+ (3,3),(3,3)         | (3,3),(1,1)         | f
+ (3,3),(3,3)         | (-2,2),(-8,-10)     | f
+ (3,3),(3,3)         | (2.5,3.5),(2.5,2.5) | f
+ (3,3),(3,3)         | (3,3),(3,3)         | t
+(25 rows)
+
+-- Above box
+SELECT b1.f1, b2.f1, b1.f1 >^ b2.f1 FROM BOX_TBL b1, BOX_TBL b2;
+         f1          |         f1          | ?column? 
+---------------------+---------------------+----------
+ (2,2),(0,0)         | (2,2),(0,0)         | f
+ (2,2),(0,0)         | (3,3),(1,1)         | f
+ (2,2),(0,0)         | (-2,2),(-8,-10)     | f
+ (2,2),(0,0)         | (2.5,3.5),(2.5,2.5) | f
+ (2,2),(0,0)         | (3,3),(3,3)         | f
+ (3,3),(1,1)         | (2,2),(0,0)         | f
+ (3,3),(1,1)         | (3,3),(1,1)         | f
+ (3,3),(1,1)         | (-2,2),(-8,-10)     | f
+ (3,3),(1,1)         | (2.5,3.5),(2.5,2.5) | f
+ (3,3),(1,1)         | (3,3),(3,3)         | f
+ (-2,2),(-8,-10)     | (2,2),(0,0)         | f
+ (-2,2),(-8,-10)     | (3,3),(1,1)         | f
+ (-2,2),(-8,-10)     | (-2,2),(-8,-10)     | f
+ (-2,2),(-8,-10)     | (2.5,3.5),(2.5,2.5) | f
+ (-2,2),(-8,-10)     | (3,3),(3,3)         | f
+ (2.5,3.5),(2.5,2.5) | (2,2),(0,0)         | t
+ (2.5,3.5),(2.5,2.5) | (3,3),(1,1)         | f
+ (2.5,3.5),(2.5,2.5) | (-2,2),(-8,-10)     | t
+ (2.5,3.5),(2.5,2.5) | (2.5,3.5),(2.5,2.5) | f
+ (2.5,3.5),(2.5,2.5) | (3,3),(3,3)         | f
+ (3,3),(3,3)         | (2,2),(0,0)         | t
+ (3,3),(3,3)         | (3,3),(1,1)         | t
+ (3,3),(3,3)         | (-2,2),(-8,-10)     | t
+ (3,3),(3,3)         | (2.5,3.5),(2.5,2.5) | f
+ (3,3),(3,3)         | (3,3),(3,3)         | t
+(25 rows)
+
+-- Intersection point with box
+SELECT b1.f1, b2.f1, b1.f1 # b2.f1 FROM BOX_TBL b1, BOX_TBL b2;
+         f1          |         f1          |      ?column?       
+---------------------+---------------------+---------------------
+ (2,2),(0,0)         | (2,2),(0,0)         | (2,2),(0,0)
+ (2,2),(0,0)         | (3,3),(1,1)         | (2,2),(1,1)
+ (2,2),(0,0)         | (-2,2),(-8,-10)     | 
+ (2,2),(0,0)         | (2.5,3.5),(2.5,2.5) | 
+ (2,2),(0,0)         | (3,3),(3,3)         | 
+ (3,3),(1,1)         | (2,2),(0,0)         | (2,2),(1,1)
+ (3,3),(1,1)         | (3,3),(1,1)         | (3,3),(1,1)
+ (3,3),(1,1)         | (-2,2),(-8,-10)     | 
+ (3,3),(1,1)         | (2.5,3.5),(2.5,2.5) | (2.5,3),(2.5,2.5)
+ (3,3),(1,1)         | (3,3),(3,3)         | (3,3),(3,3)
+ (-2,2),(-8,-10)     | (2,2),(0,0)         | 
+ (-2,2),(-8,-10)     | (3,3),(1,1)         | 
+ (-2,2),(-8,-10)     | (-2,2),(-8,-10)     | (-2,2),(-8,-10)
+ (-2,2),(-8,-10)     | (2.5,3.5),(2.5,2.5) | 
+ (-2,2),(-8,-10)     | (3,3),(3,3)         | 
+ (2.5,3.5),(2.5,2.5) | (2,2),(0,0)         | 
+ (2.5,3.5),(2.5,2.5) | (3,3),(1,1)         | (2.5,3),(2.5,2.5)
+ (2.5,3.5),(2.5,2.5) | (-2,2),(-8,-10)     | 
+ (2.5,3.5),(2.5,2.5) | (2.5,3.5),(2.5,2.5) | (2.5,3.5),(2.5,2.5)
+ (2.5,3.5),(2.5,2.5) | (3,3),(3,3)         | 
+ (3,3),(3,3)         | (2,2),(0,0)         | 
+ (3,3),(3,3)         | (3,3),(1,1)         | (3,3),(3,3)
+ (3,3),(3,3)         | (-2,2),(-8,-10)     | 
+ (3,3),(3,3)         | (2.5,3.5),(2.5,2.5) | 
+ (3,3),(3,3)         | (3,3),(3,3)         | (3,3),(3,3)
+(25 rows)
+
+-- Diagonal
+SELECT f1, diagonal(f1) FROM BOX_TBL;
+         f1          |       diagonal        
+---------------------+-----------------------
+ (2,2),(0,0)         | [(2,2),(0,0)]
+ (3,3),(1,1)         | [(3,3),(1,1)]
+ (-2,2),(-8,-10)     | [(-2,2),(-8,-10)]
+ (2.5,3.5),(2.5,2.5) | [(2.5,3.5),(2.5,2.5)]
+ (3,3),(3,3)         | [(3,3),(3,3)]
+(5 rows)
+
+-- Distance to box
+SELECT b1.f1, b2.f1, b1.f1 <-> b2.f1 FROM BOX_TBL b1, BOX_TBL b2;
+         f1          |         f1          |   ?column?    
+---------------------+---------------------+---------------
+ (2,2),(0,0)         | (2,2),(0,0)         |             0
+ (2,2),(0,0)         | (3,3),(1,1)         | 1.41421356237
+ (2,2),(0,0)         | (-2,2),(-8,-10)     | 7.81024967591
+ (2,2),(0,0)         | (2.5,3.5),(2.5,2.5) |           2.5
+ (2,2),(0,0)         | (3,3),(3,3)         | 2.82842712475
+ (3,3),(1,1)         | (2,2),(0,0)         | 1.41421356237
+ (3,3),(1,1)         | (3,3),(1,1)         |             0
+ (3,3),(1,1)         | (-2,2),(-8,-10)     | 9.21954445729
+ (3,3),(1,1)         | (2.5,3.5),(2.5,2.5) | 1.11803398875
+ (3,3),(1,1)         | (3,3),(3,3)         | 1.41421356237
+ (-2,2),(-8,-10)     | (2,2),(0,0)         | 7.81024967591
+ (-2,2),(-8,-10)     | (3,3),(1,1)         | 9.21954445729
+ (-2,2),(-8,-10)     | (-2,2),(-8,-10)     |             0
+ (-2,2),(-8,-10)     | (2.5,3.5),(2.5,2.5) | 10.2591422643
+ (-2,2),(-8,-10)     | (3,3),(3,3)         | 10.6301458127
+ (2.5,3.5),(2.5,2.5) | (2,2),(0,0)         |           2.5
+ (2.5,3.5),(2.5,2.5) | (3,3),(1,1)         | 1.11803398875
+ (2.5,3.5),(2.5,2.5) | (-2,2),(-8,-10)     | 10.2591422643
+ (2.5,3.5),(2.5,2.5) | (2.5,3.5),(2.5,2.5) |             0
+ (2.5,3.5),(2.5,2.5) | (3,3),(3,3)         |           0.5
+ (3,3),(3,3)         | (2,2),(0,0)         | 2.82842712475
+ (3,3),(3,3)         | (3,3),(1,1)         | 1.41421356237
+ (3,3),(3,3)         | (-2,2),(-8,-10)     | 10.6301458127
+ (3,3),(3,3)         | (2.5,3.5),(2.5,2.5) |           0.5
+ (3,3),(3,3)         | (3,3),(3,3)         |             0
+(25 rows)
 
 --
 -- Paths
 --
-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)
+-- Points
+SELECT f1, npoints(f1) FROM PATH_TBL;
+            f1             | npoints 
+---------------------------+---------
+ [(1,2),(3,4)]             |       2
+ ((1,2),(3,4))             |       2
+ [(0,0),(3,0),(4,5),(1,6)] |       4
+ ((1,2),(3,4))             |       2
+ ((1,2),(3,4))             |       2
+ [(1,2),(3,4)]             |       2
+ ((10,20))                 |       1
+ [(11,12),(13,14)]         |       2
+ ((11,12),(13,14))         |       2
+(9 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)
+-- Area
+SELECT f1, area(f1) FROM PATH_TBL;
+            f1             | area 
+---------------------------+------
+ [(1,2),(3,4)]             |     
+ ((1,2),(3,4))             |    0
+ [(0,0),(3,0),(4,5),(1,6)] |     
+ ((1,2),(3,4))             |    0
+ ((1,2),(3,4))             |    0
+ [(1,2),(3,4)]             |     
+ ((10,20))                 |    0
+ [(11,12),(13,14)]         |     
+ ((11,12),(13,14))         |    0
+(9 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)
+-- Length
+SELECT f1, @-@ f1 FROM PATH_TBL;
+            f1             |   ?column?    
+---------------------------+---------------
+ [(1,2),(3,4)]             | 2.82842712475
+ ((1,2),(3,4))             | 5.65685424949
+ [(0,0),(3,0),(4,5),(1,6)] | 11.2612971738
+ ((1,2),(3,4))             | 5.65685424949
+ ((1,2),(3,4))             | 5.65685424949
+ [(1,2),(3,4)]             | 2.82842712475
+ ((10,20))                 |             0
+ [(11,12),(13,14)]         | 2.82842712475
+ ((11,12),(13,14))         | 5.65685424949
+(9 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)
+-- Center
+SELECT f1, @@ f1 FROM PATH_TBL;
+ERROR:  function "path_center" not implemented
+-- To polygon
+SELECT f1, f1::polygon FROM PATH_TBL WHERE isclosed(f1);
+        f1         |        f1         
+-------------------+-------------------
+ ((1,2),(3,4))     | ((1,2),(3,4))
+ ((1,2),(3,4))     | ((1,2),(3,4))
+ ((1,2),(3,4))     | ((1,2),(3,4))
+ ((10,20))         | ((10,20))
+ ((11,12),(13,14)) | ((11,12),(13,14))
+(5 rows)
+