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|
\set ECHO none
SELECT set_sphere_output_precision(8);
SET extra_float_digits = 0;
\set ECHO all
-- Input/Output ---
SELECT scircle_deg(spoint(10,10), 90);
SELECT scircle_deg(spoint(10,10), 91);
SELECT scircle_deg(spoint(0,0), 0);
SELECT scircle_deg(spoint(10,10), -1);
SELECT set_sphere_output( 'RAD' );
SELECT '< (1h 2m 30s , +1d 2m 30s), 1.0d >'::scircle;
SELECT '< (1h 2m 30s , +1d 2m 30s), 1d 30m >'::scircle;
SELECT '< (1h 2m 30s , +1d 2m 30s), 0.1 >'::scircle;
SELECT '< (1h 2m 30s , +1d 2m 30s), 90d >'::scircle;
SELECT set_sphere_output( 'DEG' );
SELECT '< (1h 2m 30s , +1d 2m 30s), 1.0d >'::scircle;
SELECT '< (1h 2m 30s , +1d 2m 30s), 1d 30m >'::scircle;
SELECT '< (1h 2m 30s , +1d 2m 30s), 0.1 >'::scircle;
SELECT '< (1h 2m 30s , +1d 2m 30s), 90d >'::scircle;
SELECT set_sphere_output( 'DMS' );
SELECT '< (1h 2m 30s , +1d 2m 30s), 1.0d >'::scircle;
SELECT '< (1h 2m 30s , +1d 2m 30s), 1d 30m >'::scircle;
SELECT '< (1h 2m 30s , +1d 2m 30s), 0.1 >'::scircle;
SELECT '< (1h 2m 30s , +1d 2m 30s), 90d >'::scircle;
SELECT set_sphere_output( 'HMS' );
SELECT '< (1h 2m 30s , +1d 2m 30s), 1.0d >'::scircle;
SELECT '< (1h 2m 30s , +1d 2m 30s), 1d 30m >'::scircle;
SELECT '< (1h 2m 30s , +1d 2m 30s), 0.1 >'::scircle;
SELECT '< (1h 2m 30s , +1d 2m 30s), 90d >'::scircle;
SELECT set_sphere_output( 'DMS' );
-- Functions
-- checking spherical circle operators
SELECT scircle '<(0, 90d),1>' = '<(0, 90d),1>' ;
SELECT scircle '<(0,-90d),1>' <> '<(0, 90d),1>' ;
-- float8 dist(scircle,scircle)
SELECT 180.0*dist('<( 0h 2m 30s , 10d 0m 0s), 0.1d>'::scircle,'<( 0h 2m 30s , -10d 0m 0s),0.1d>'::scircle)/pi();
SELECT 180.0*dist('<( 0h 0m 00s , 0d 0m 0s), 1.0d>'::scircle,'<( 1h 0m 00s , 0d 0m 0s),1.0d>'::scircle)/pi();
SELECT 180.0*dist('<( 23h 30m 00s , 0d 0m 0s), 1.0d>'::scircle,'<( 1h 0m 00s , 0d 0m 0s),1.5d>'::scircle)/pi();
SELECT 180.0*dist('<( 0h 40m 00s , 0d 0m 0s), 1.0d>'::scircle,'<( 0h 50m 00s , 0d 0m 0s),1.0d>'::scircle)/pi();
SELECT 180.0*dist('<( 0h 40m 00s , 0d 0m 0s), 1.5d>'::scircle,'<( 0h 50m 00s , 0d 0m 0s),1.5d>'::scircle)/pi();
SELECT 180.0*dist('<( 0h 40m 00s , 90d 0m 0s), 1.5d>'::scircle,'<( 0h 50m 00s , 0d 0m 0s),1.5d>'::scircle)/pi();
SELECT 180.0*dist('<( 0h 40m 00s , 90d 0m 0s), 1.0d>'::scircle,'<( 0h 50m 00s , -90d 0m 0s),1.0d>'::scircle)/pi();
-- spoint center(scircle)
SELECT center('< (1h 2m 30s , +1d 2m 30s), 1.0d >'::scircle);
SELECT center('< (1h 2m 30s , +90d 0m 0s), 1.0d >'::scircle);
-- scircle scircle(spoint)
SELECT scircle('(0d,0d)'::spoint);
SELECT scircle('(0d,90d)'::spoint);
SELECT scircle('(0d,-90d)'::spoint);
-- Operators
-- = operator
-- should be "true"
SELECT '< (1h 0m 0s,+1d), 1.5d >'::scircle='< (1h 0m 0s,+1d), 1.5d >'::scircle ;
SELECT '< (1h 0m 0s,+1d), 1.5d >'::scircle='< (25h 0m 0s,+1d), 1d 30m >'::scircle ;
SELECT '< (1h 0m 0s,+95d), 1.5d >'::scircle='< (13h 0m 0s,+85d), 1.5d >'::scircle ;
SELECT '< (1h 0m 0s,-95d), 1.5d >'::scircle='< (13h 0m 0s,-85d), 1.5d >'::scircle ;
SELECT '< (1h 0m 0s,+90d), 1.5d >'::scircle='< (2h 0m 0s,+90d), 1.5d >'::scircle ;
SELECT '< (1h 0m 0s,-90d), 1.5d >'::scircle='< (2h 0m 0s,-90d), 1.5d >'::scircle ;
-- should be "false"
SELECT '< (1h 0m 0s,+1d), 1.5d >'::scircle='< (1h 0m 0s,-1d), 1.5d >'::scircle ;
SELECT '< (1h 0m 0s,+1d), 1.5d >'::scircle='< (1h 0m 0s,+1d), 2.5d >'::scircle ;
-- <> operator
-- should be "false"
SELECT '< (1h 0m 0s,+1d), 1.5d >'::scircle <> '< (1h 0m 0s,+1d), 1.5d >'::scircle ;
SELECT '< (1h 0m 0s,+1d), 1.5d >'::scircle <> '< (25h 0m 0s,+1d), 1d 30m >'::scircle ;
SELECT '< (1h 0m 0s,+95d), 1.5d >'::scircle <> '< (13h 0m 0s,+85d), 1.5d >'::scircle ;
SELECT '< (1h 0m 0s,-95d), 1.5d >'::scircle <> '< (13h 0m 0s,-85d), 1.5d >'::scircle ;
SELECT '< (1h 0m 0s,+90d), 1.5d >'::scircle <> '< (2h 0m 0s,+90d), 1.5d >'::scircle ;
SELECT '< (1h 0m 0s,-90d), 1.5d >'::scircle <> '< (2h 0m 0s,-90d), 1.5d >'::scircle ;
-- should be "true"
SELECT '< (1h 0m 0s,+1d), 1.5d >'::scircle <> '< (1h 0m 0s,-1d), 1.5d >'::scircle ;
SELECT '< (1h 0m 0s,+1d), 1.5d >'::scircle <> '< (1h 0m 0s,+1d), 2.5d >'::scircle ;
-- && operator
-- should be "true"
SELECT '< (1h 0m 0s,+1d), 1.5d >'::scircle && '< (1h 0m 0s,+1d), 1.5d >'::scircle;
SELECT '< (1h 0m 0s,+1d), 1.5d >'::scircle && '< (1h 0m 0s,+1d), 0.5d >'::scircle;
SELECT '< (1h 0m 0s,+1d), 1.5d >'::scircle && '< (1h 0m 0s,-1d), 1.5d >'::scircle;
SELECT '< (1h 0m 0s,0d), 15d >'::scircle && '< (0h 0m 0s,0d), 15d >'::scircle;
SELECT '< (2h 0m 0s,0d), 15d >'::scircle && '< (0h 0m 0.1s,0d), 15d >'::scircle;
SELECT '< (1h 0m 0s,0d), 15d >'::scircle && '< (23h 0m 0.1s,0d), 15d >'::scircle;
-- should be "false"
SELECT '< (1h 0m 0s,+1d), 0.5d >'::scircle && '< (1h 0m 0s,-1d), 0.5d >'::scircle;
SELECT '< (1d 0m 0s,+1d), 1.0d >'::scircle && '< (0d 0m 0s,0d), 0.1d >'::scircle;
-- @@ operator
SELECT @@ '< (1h 2m 3s , +1d 2m 3s), 1.0d >'::scircle;
SELECT @@ '< (1h 2m 3s , +90d 0m 0s), 1.0d >'::scircle;
-- <-> operator
SELECT 180.0*('<( 0h 2m 30s , 10d 0m 0s), 0.1d>'::scircle<->'<( 0h 2m 30s , -10d 0m 0s),0.1d>'::scircle)/pi();
SELECT 180.0*('<( 0h 0m 00s , 0d 0m 0s), 1.0d>'::scircle<->'<( 1h 0m 00s , 0d 0m 0s),1.0d>'::scircle)/pi();
SELECT 180.0*('<( 23h 30m 00s , 0d 0m 0s), 1.0d>'::scircle<->'<( 1h 0m 00s , 0d 0m 0s),1.5d>'::scircle)/pi();
SELECT 180.0*('<( 0h 40m 00s , 0d 0m 0s), 1.0d>'::scircle<->'<( 0h 50m 00s , 0d 0m 0s),1.0d>'::scircle)/pi();
SELECT 180.0*('<( 0h 40m 00s , 0d 0m 0s), 1.5d>'::scircle<->'<( 0h 50m 00s , 0d 0m 0s),1.5d>'::scircle)/pi();
SELECT 180.0*('<( 0h 40m 00s , 90d 0m 0s), 1.5d>'::scircle<->'<( 0h 50m 00s , 0d 0m 0s),1.5d>'::scircle)/pi();
SELECT 180.0*('<( 0h 40m 00s , 90d 0m 0s), 1.0d>'::scircle<->'<( 0h 50m 00s , -90d 0m 0s),1.0d>'::scircle)/pi();
-- scircle @ scircle operator
-- should be "true"
SELECT '< (1h 0m 0s,+1d), 0.5d >'::scircle @ '< (1h 0m 0s,+1d), 1.5d >'::scircle;
SELECT '< (2d 0m 0s,+1d), 0.5d >'::scircle @ '< (1d 0m 0s,0d), 3.5d >'::scircle;
SELECT '< (1h 0m 0s,+89d), 0.5d >'::scircle @ '< (1h 0m 0s,+90d), 1.5d >'::scircle;
SELECT '< (1h 0m 0s,-89d), 0.5d >'::scircle @ '< (1h 0m 0s,-90d), 1.5d >'::scircle;
-- should be "false"
SELECT '< (1h 0m 0s,+1d), 0.5d >'::scircle @ '< (2h 0m 0s,+1d), 1.5d >'::scircle;
SELECT '< (2d 0m 0s,+1d), 1.5d >'::scircle @ '< (0d 0m 0s, 0d), 3.5d >'::scircle;
SELECT '< (1h 0m 0s,+89d), 0.5d >'::scircle @ '< (1h 0m 0s,+90d), 1.0d >'::scircle;
SELECT '< (1h 0m 0s,-89d), 0.5d >'::scircle @ '< (1h 0m 0s,-90d), 1.0d >'::scircle;
-- scircle ~ scircle operator
-- should be "true"
SELECT '< (1h 0m 0s,+1d), 1.5d >'::scircle ~ '< (1h 0m 0s,+1d), 0.5d >'::scircle;
SELECT '< (1d 0m 0s,0d), 3.5d >'::scircle ~ '< (2d 0m 0s,+1d), 0.5d >'::scircle;
SELECT '< (1h 0m 0s,+90d), 1.5d >'::scircle ~ '< (1h 0m 0s,+89d), 0.5d >'::scircle;
SELECT '< (1h 0m 0s,-90d), 1.5d >'::scircle ~ '< (1h 0m 0s,-89d), 0.5d >'::scircle;
-- should be "false"
SELECT '< (2h 0m 0s,+1d), 1.5d >'::scircle ~ '< (1h 0m 0s,+1d), 0.5d >'::scircle;
SELECT '< (0d 0m 0s, 0d), 3.5d >'::scircle ~ '< (2d 0m 0s,+1d), 1.5d >'::scircle;
SELECT '< (1h 0m 0s,+90d), 1.0d >'::scircle ~ '< (1h 0m 0s,+89d), 0.5d >'::scircle;
SELECT '< (1h 0m 0s,-90d), 1.0d >'::scircle ~ '< (1h 0m 0s,-89d), 0.5d >'::scircle;
-- spoint @ scircle operator
-- should be "true"
SELECT '(1h 0m 0s,+1d) '::spoint @ '< (1h 0m 0s,+1d), 1.5d >'::scircle;
SELECT '(2d 0m 0s,+1d) '::spoint @ '< (1d 0m 0s, 0d), 3.5d >'::scircle;
SELECT '(1h 0m 0s,+89d)'::spoint @ '< (1h 0m 0s,+90d), 1.5d >'::scircle;
SELECT '(1h 0m 0s,-89d)'::spoint @ '< (1h 0m 0s,-90d), 1.5d >'::scircle;
SELECT '(1h 0m 0s,+89d)'::spoint @ '< (1h 0m 0s,+90d), 1.0d >'::scircle;
SELECT '(1h 0m 0s,-89d)'::spoint @ '< (1h 0m 0s,-90d), 1.0d >'::scircle;
-- should be "false"
SELECT '(1h 0m 0s,+1d )'::spoint @ '< (2h 0m 0s,-1d), 1.5d >'::scircle;
SELECT '(3d 30m 0s,+1d )'::spoint @ '< (0d 0m 0s, 0d), 3.5d >'::scircle;
SELECT '(1h 0m 0s,+88.99d)'::spoint @ '< (1h 0m 0s,+90d), 1.0d >'::scircle;
SELECT '(1h 0m 0s,-88.99d)'::spoint @ '< (1h 0m 0s,-90d), 1.0d >'::scircle;
-- spoint ~ scircle operator
-- should be "true"
SELECT '< (1h 0m 0s,+1d), 1.5d >'::scircle ~ '(1h 0m 0s,+1d) '::spoint;
SELECT '< (1d 0m 0s, 0d), 3.5d >'::scircle ~ '(2d 0m 0s,+1d) '::spoint;
SELECT '< (1h 0m 0s,+90d), 1.5d >'::scircle ~ '(1h 0m 0s,+89d)'::spoint;
SELECT '< (1h 0m 0s,-90d), 1.5d >'::scircle ~ '(1h 0m 0s,-89d)'::spoint;
SELECT '< (1h 0m 0s,+90d), 1.0d >'::scircle ~ '(1h 0m 0s,+89d)'::spoint;
SELECT '< (1h 0m 0s,-90d), 1.0d >'::scircle ~ '(1h 0m 0s,-89d)'::spoint;
-- should be "false"
SELECT '< (2h 0m 0s,-1d), 1.5d >'::scircle ~ '(1h 0m 0s,+1d )'::spoint;
SELECT '< (0d 0m 0s, 0d), 3.5d >'::scircle ~ '(3d 30m 0s,+1d )'::spoint;
SELECT '< (1h 0m 0s,+90d), 1.0d >'::scircle ~ '(1h 0m 0s,+88.99d)'::spoint;
SELECT '< (1h 0m 0s,-90d), 1.0d >'::scircle ~ '(1h 0m 0s,-88.99d)'::spoint;
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