diff --git a/contrib/earthdistance/expected/earthdistance.out b/contrib/earthdistance/expected/earthdistance.out new file mode 100644 index 0000000000..722299689e --- /dev/null +++ b/contrib/earthdistance/expected/earthdistance.out @@ -0,0 +1,158 @@ +-- +-- Test earth distance functions +-- +-- +-- first, define the datatype. Turn off echoing so that expected file +-- does not depend on contents of earthdistance.sql or cube.sql. +-- +\set ECHO none +-- +-- Test getting the distance between two points using geo_distance. +-- +select geo_distance('(0,0)'::point,'(0,0)'::point)::numeric(20,5); + geo_distance +-------------- + 0.00000 +(1 row) + +select geo_distance('(0,0)'::point,'(180,0)'::point)::numeric(20,5); + geo_distance +-------------- + 12436.77274 +(1 row) + +select geo_distance('(0,0)'::point,'(0,90)'::point)::numeric(20,5); + geo_distance +-------------- + 6218.38637 +(1 row) + +select geo_distance('(0,0)'::point,'(90,0)'::point)::numeric(20,5); + geo_distance +-------------- + 6218.38637 +(1 row) + +select geo_distance('(0,0)'::point,'(1,0)'::point)::numeric(20,5); + geo_distance +-------------- + 69.09318 +(1 row) + +select geo_distance('(0,0)'::point,'(0,1)'::point)::numeric(20,5); + geo_distance +-------------- + 69.09318 +(1 row) + +select geo_distance('(0,30)'::point,'(1,30)'::point)::numeric(20,5); + geo_distance +-------------- + 59.83626 +(1 row) + +select geo_distance('(0,30)'::point,'(0,31)'::point)::numeric(20,5); + geo_distance +-------------- + 69.09318 +(1 row) + +select geo_distance('(0,60)'::point,'(1,60)'::point)::numeric(20,5); + geo_distance +-------------- + 34.54626 +(1 row) + +select geo_distance('(0,60)'::point,'(0,61)'::point)::numeric(20,5); + geo_distance +-------------- + 69.09318 +(1 row) + +select geo_distance('(87.6,41.8)'::point,'(106.7,35.1)'::point)::numeric(20,5); + geo_distance +-------------- + 1129.18983 +(1 row) + +select (geo_distance('(87.6,41.8)'::point,'(106.7,35.1)'::point)*5280.*12.*2.54/100.)::numeric(20,5); + numeric +--------------- + 1817254.87730 +(1 row) + +-- +-- Test getting the distance between two points using the <@> operator. +-- +select ('(0,0)'::point <@> '(0,0)'::point)::numeric(20,5); + numeric +--------- + 0.00000 +(1 row) + +select ('(0,0)'::point <@> '(180,0)'::point)::numeric(20,5); + numeric +------------- + 12436.77274 +(1 row) + +select ('(0,0)'::point <@> '(0,90)'::point)::numeric(20,5); + numeric +------------ + 6218.38637 +(1 row) + +select ('(0,0)'::point <@> '(90,0)'::point)::numeric(20,5); + numeric +------------ + 6218.38637 +(1 row) + +select ('(0,0)'::point <@> '(1,0)'::point)::numeric(20,5); + numeric +---------- + 69.09318 +(1 row) + +select ('(0,0)'::point <@> '(0,1)'::point)::numeric(20,5); + numeric +---------- + 69.09318 +(1 row) + +select ('(0,30)'::point <@> '(1,30)'::point)::numeric(20,5); + numeric +---------- + 59.83626 +(1 row) + +select ('(0,30)'::point <@> '(0,31)'::point)::numeric(20,5); + numeric +---------- + 69.09318 +(1 row) + +select ('(0,60)'::point <@> '(1,60)'::point)::numeric(20,5); + numeric +---------- + 34.54626 +(1 row) + +select ('(0,60)'::point <@> '(0,61)'::point)::numeric(20,5); + numeric +---------- + 69.09318 +(1 row) + +select ('(87.6,41.8)'::point <@> '(106.7,35.1)'::point)::numeric(20,5); + numeric +------------ + 1129.18983 +(1 row) + +select (('(87.6,41.8)'::point <@> '(106.7,35.1)'::point)*5280.*12.*2.54/100.)::numeric(20,5); + numeric +--------------- + 1817254.87730 +(1 row) + diff --git a/contrib/earthdistance/sql/earthdistance.sql b/contrib/earthdistance/sql/earthdistance.sql new file mode 100644 index 0000000000..d536bc8234 --- /dev/null +++ b/contrib/earthdistance/sql/earthdistance.sql @@ -0,0 +1,300 @@ +-- +-- Test earth distance functions +-- + +-- +-- first, define the datatype. Turn off echoing so that expected file +-- does not depend on contents of earthdistance.sql or cube.sql. +-- +\set ECHO none +\i ../cube/cube.sql +\i earthdistance.sql +\set ECHO all + +-- +-- The radius of the Earth we are using. +-- + +select earth()::numeric(20,5); + +-- +-- Convert straight line distances to great circle distances. +-- +select (pi()*earth())::numeric(20,5); +select sec_to_gc(0)::numeric(20,5); +select sec_to_gc(2*earth())::numeric(20,5); +select sec_to_gc(10*earth())::numeric(20,5); +select sec_to_gc(-earth())::numeric(20,5); +select sec_to_gc(1000)::numeric(20,5); +select sec_to_gc(10000)::numeric(20,5); +select sec_to_gc(100000)::numeric(20,5); +select sec_to_gc(1000000)::numeric(20,5); + +-- +-- Convert great circle distances to straight line distances. +-- + +select gc_to_sec(0)::numeric(20,5); +select gc_to_sec(sec_to_gc(2*earth()))::numeric(20,5); +select gc_to_sec(10*earth())::numeric(20,5); +select gc_to_sec(pi()*earth())::numeric(20,5); +select gc_to_sec(-1000)::numeric(20,5); +select gc_to_sec(1000)::numeric(20,5); +select gc_to_sec(10000)::numeric(20,5); +select gc_to_sec(100000)::numeric(20,5); +select gc_to_sec(1000000)::numeric(20,5); + +-- +-- Set coordinates using latitude and longitude. +-- Extract each coordinate separately so we can round them. +-- + +select cube_ll_coord(ll_to_earth(0,0),1)::numeric(20,5), + cube_ll_coord(ll_to_earth(0,0),2)::numeric(20,5), + cube_ll_coord(ll_to_earth(0,0),3)::numeric(20,5); +select cube_ll_coord(ll_to_earth(360,360),1)::numeric(20,5), + cube_ll_coord(ll_to_earth(360,360),2)::numeric(20,5), + cube_ll_coord(ll_to_earth(360,360),3)::numeric(20,5); +select cube_ll_coord(ll_to_earth(180,180),1)::numeric(20,5), + cube_ll_coord(ll_to_earth(180,180),2)::numeric(20,5), + cube_ll_coord(ll_to_earth(180,180),3)::numeric(20,5); +select cube_ll_coord(ll_to_earth(180,360),1)::numeric(20,5), + cube_ll_coord(ll_to_earth(180,360),2)::numeric(20,5), + cube_ll_coord(ll_to_earth(180,360),3)::numeric(20,5); +select cube_ll_coord(ll_to_earth(-180,-360),1)::numeric(20,5), + cube_ll_coord(ll_to_earth(-180,-360),2)::numeric(20,5), + cube_ll_coord(ll_to_earth(-180,-360),3)::numeric(20,5); +select cube_ll_coord(ll_to_earth(0,180),1)::numeric(20,5), + cube_ll_coord(ll_to_earth(0,180),2)::numeric(20,5), + cube_ll_coord(ll_to_earth(0,180),3)::numeric(20,5); +select cube_ll_coord(ll_to_earth(0,-180),1)::numeric(20,5), + cube_ll_coord(ll_to_earth(0,-180),2)::numeric(20,5), + cube_ll_coord(ll_to_earth(0,-180),3)::numeric(20,5); +select cube_ll_coord(ll_to_earth(90,0),1)::numeric(20,5), + cube_ll_coord(ll_to_earth(90,0),2)::numeric(20,5), + cube_ll_coord(ll_to_earth(90,0),3)::numeric(20,5); +select cube_ll_coord(ll_to_earth(90,180),1)::numeric(20,5), + cube_ll_coord(ll_to_earth(90,180),2)::numeric(20,5), + cube_ll_coord(ll_to_earth(90,180),3)::numeric(20,5); +select cube_ll_coord(ll_to_earth(-90,0),1)::numeric(20,5), + cube_ll_coord(ll_to_earth(-90,0),2)::numeric(20,5), + cube_ll_coord(ll_to_earth(-90,0),3)::numeric(20,5); +select cube_ll_coord(ll_to_earth(-90,180),1)::numeric(20,5), + cube_ll_coord(ll_to_earth(-90,180),2)::numeric(20,5), + cube_ll_coord(ll_to_earth(-90,180),3)::numeric(20,5); + +-- +-- Test getting the latitude of a location. +-- + +select latitude(ll_to_earth(0,0))::numeric(20,10); +select latitude(ll_to_earth(45,0))::numeric(20,10); +select latitude(ll_to_earth(90,0))::numeric(20,10); +select latitude(ll_to_earth(-45,0))::numeric(20,10); +select latitude(ll_to_earth(-90,0))::numeric(20,10); +select latitude(ll_to_earth(0,90))::numeric(20,10); +select latitude(ll_to_earth(45,90))::numeric(20,10); +select latitude(ll_to_earth(90,90))::numeric(20,10); +select latitude(ll_to_earth(-45,90))::numeric(20,10); +select latitude(ll_to_earth(-90,90))::numeric(20,10); +select latitude(ll_to_earth(0,180))::numeric(20,10); +select latitude(ll_to_earth(45,180))::numeric(20,10); +select latitude(ll_to_earth(90,180))::numeric(20,10); +select latitude(ll_to_earth(-45,180))::numeric(20,10); +select latitude(ll_to_earth(-90,180))::numeric(20,10); +select latitude(ll_to_earth(0,-90))::numeric(20,10); +select latitude(ll_to_earth(45,-90))::numeric(20,10); +select latitude(ll_to_earth(90,-90))::numeric(20,10); +select latitude(ll_to_earth(-45,-90))::numeric(20,10); +select latitude(ll_to_earth(-90,-90))::numeric(20,10); + +-- +-- Test getting the longitude of a location. +-- + +select longitude(ll_to_earth(0,0))::numeric(20,10); +select longitude(ll_to_earth(45,0))::numeric(20,10); +select longitude(ll_to_earth(90,0))::numeric(20,10); +select longitude(ll_to_earth(-45,0))::numeric(20,10); +select longitude(ll_to_earth(-90,0))::numeric(20,10); +select longitude(ll_to_earth(0,90))::numeric(20,10); +select longitude(ll_to_earth(45,90))::numeric(20,10); +select longitude(ll_to_earth(90,90))::numeric(20,10); +select longitude(ll_to_earth(-45,90))::numeric(20,10); +select longitude(ll_to_earth(-90,90))::numeric(20,10); +select longitude(ll_to_earth(0,180))::numeric(20,10); +select longitude(ll_to_earth(45,180))::numeric(20,10); +select longitude(ll_to_earth(90,180))::numeric(20,10); +select longitude(ll_to_earth(-45,180))::numeric(20,10); +select longitude(ll_to_earth(-90,180))::numeric(20,10); +select longitude(ll_to_earth(0,-90))::numeric(20,10); +select longitude(ll_to_earth(45,-90))::numeric(20,10); +select longitude(ll_to_earth(90,-90))::numeric(20,10); +select longitude(ll_to_earth(-45,-90))::numeric(20,10); +select longitude(ll_to_earth(-90,-90))::numeric(20,10); + +-- +-- For the distance tests the following is some real life data. +-- +-- Chicago has a latitude of 41.8 and a longitude of 87.6. +-- Albuquerque has a latitude of 35.1 and a longitude of 106.7. +-- (Note that latitude and longitude are specified differently +-- in the cube based functions than for the point based functions.) +-- + +-- +-- Test getting the distance between two points using earth_distance. +-- + +select earth_distance(ll_to_earth(0,0),ll_to_earth(0,0))::numeric(20,5); +select earth_distance(ll_to_earth(0,0),ll_to_earth(0,180))::numeric(20,5); +select earth_distance(ll_to_earth(0,0),ll_to_earth(90,0))::numeric(20,5); +select earth_distance(ll_to_earth(0,0),ll_to_earth(0,90))::numeric(20,5); +select earth_distance(ll_to_earth(0,0),ll_to_earth(0,1))::numeric(20,5); +select earth_distance(ll_to_earth(0,0),ll_to_earth(1,0))::numeric(20,5); +select earth_distance(ll_to_earth(30,0),ll_to_earth(30,1))::numeric(20,5); +select earth_distance(ll_to_earth(30,0),ll_to_earth(31,0))::numeric(20,5); +select earth_distance(ll_to_earth(60,0),ll_to_earth(60,1))::numeric(20,5); +select earth_distance(ll_to_earth(60,0),ll_to_earth(61,0))::numeric(20,5); +select earth_distance(ll_to_earth(41.8,87.6),ll_to_earth(35.1,106.7))::numeric(20,5); +select (earth_distance(ll_to_earth(41.8,87.6),ll_to_earth(35.1,106.7))* + 100./2.54/12./5280.)::numeric(20,5); + +-- +-- Test getting the distance between two points using geo_distance. +-- + +select geo_distance('(0,0)'::point,'(0,0)'::point)::numeric(20,5); +select geo_distance('(0,0)'::point,'(180,0)'::point)::numeric(20,5); +select geo_distance('(0,0)'::point,'(0,90)'::point)::numeric(20,5); +select geo_distance('(0,0)'::point,'(90,0)'::point)::numeric(20,5); +select geo_distance('(0,0)'::point,'(1,0)'::point)::numeric(20,5); +select geo_distance('(0,0)'::point,'(0,1)'::point)::numeric(20,5); +select geo_distance('(0,30)'::point,'(1,30)'::point)::numeric(20,5); +select geo_distance('(0,30)'::point,'(0,31)'::point)::numeric(20,5); +select geo_distance('(0,60)'::point,'(1,60)'::point)::numeric(20,5); +select geo_distance('(0,60)'::point,'(0,61)'::point)::numeric(20,5); +select geo_distance('(87.6,41.8)'::point,'(106.7,35.1)'::point)::numeric(20,5); +select (geo_distance('(87.6,41.8)'::point,'(106.7,35.1)'::point)*5280.*12.*2.54/100.)::numeric(20,5); + +-- +-- Test getting the distance between two points using the <@> operator. +-- + +select ('(0,0)'::point <@> '(0,0)'::point)::numeric(20,5); +select ('(0,0)'::point <@> '(180,0)'::point)::numeric(20,5); +select ('(0,0)'::point <@> '(0,90)'::point)::numeric(20,5); +select ('(0,0)'::point <@> '(90,0)'::point)::numeric(20,5); +select ('(0,0)'::point <@> '(1,0)'::point)::numeric(20,5); +select ('(0,0)'::point <@> '(0,1)'::point)::numeric(20,5); +select ('(0,30)'::point <@> '(1,30)'::point)::numeric(20,5); +select ('(0,30)'::point <@> '(0,31)'::point)::numeric(20,5); +select ('(0,60)'::point <@> '(1,60)'::point)::numeric(20,5); +select ('(0,60)'::point <@> '(0,61)'::point)::numeric(20,5); +select ('(87.6,41.8)'::point <@> '(106.7,35.1)'::point)::numeric(20,5); +select (('(87.6,41.8)'::point <@> '(106.7,35.1)'::point)*5280.*12.*2.54/100.)::numeric(20,5); + +-- +-- Test getting a bounding box around points. +-- + +select cube_ll_coord(earth_box(ll_to_earth(0,0),112000),1)::numeric(20,5), + cube_ll_coord(earth_box(ll_to_earth(0,0),112000),2)::numeric(20,5), + cube_ll_coord(earth_box(ll_to_earth(0,0),112000),3)::numeric(20,5), + cube_ur_coord(earth_box(ll_to_earth(0,0),112000),1)::numeric(20,5), + cube_ur_coord(earth_box(ll_to_earth(0,0),112000),2)::numeric(20,5), + cube_ur_coord(earth_box(ll_to_earth(0,0),112000),3)::numeric(20,5); +select cube_ll_coord(earth_box(ll_to_earth(0,0),pi()*earth()),1)::numeric(20,5), + cube_ll_coord(earth_box(ll_to_earth(0,0),pi()*earth()),2)::numeric(20,5), + cube_ll_coord(earth_box(ll_to_earth(0,0),pi()*earth()),3)::numeric(20,5), + cube_ur_coord(earth_box(ll_to_earth(0,0),pi()*earth()),1)::numeric(20,5), + cube_ur_coord(earth_box(ll_to_earth(0,0),pi()*earth()),2)::numeric(20,5), + cube_ur_coord(earth_box(ll_to_earth(0,0),pi()*earth()),3)::numeric(20,5); +select cube_ll_coord(earth_box(ll_to_earth(0,0),10*earth()),1)::numeric(20,5), + cube_ll_coord(earth_box(ll_to_earth(0,0),10*earth()),2)::numeric(20,5), + cube_ll_coord(earth_box(ll_to_earth(0,0),10*earth()),3)::numeric(20,5), + cube_ur_coord(earth_box(ll_to_earth(0,0),10*earth()),1)::numeric(20,5), + cube_ur_coord(earth_box(ll_to_earth(0,0),10*earth()),2)::numeric(20,5), + cube_ur_coord(earth_box(ll_to_earth(0,0),10*earth()),3)::numeric(20,5); + +-- +-- Test for points that should be in bounding boxes. +-- + +select earth_box(ll_to_earth(0,0), + earth_distance(ll_to_earth(0,0),ll_to_earth(0,1))*1.00001) @ + ll_to_earth(0,1); +select earth_box(ll_to_earth(0,0), + earth_distance(ll_to_earth(0,0),ll_to_earth(0,0.1))*1.00001) @ + ll_to_earth(0,0.1); +select earth_box(ll_to_earth(0,0), + earth_distance(ll_to_earth(0,0),ll_to_earth(0,0.01))*1.00001) @ + ll_to_earth(0,0.01); +select earth_box(ll_to_earth(0,0), + earth_distance(ll_to_earth(0,0),ll_to_earth(0,0.001))*1.00001) @ + ll_to_earth(0,0.001); +select earth_box(ll_to_earth(0,0), + earth_distance(ll_to_earth(0,0),ll_to_earth(0,0.0001))*1.00001) @ + ll_to_earth(0,0.0001); +select earth_box(ll_to_earth(0,0), + earth_distance(ll_to_earth(0,0),ll_to_earth(0.0001,0.0001))*1.00001) @ + ll_to_earth(0.0001,0.0001); +select earth_box(ll_to_earth(45,45), + earth_distance(ll_to_earth(45,45),ll_to_earth(45.0001,45.0001))*1.00001) @ + ll_to_earth(45.0001,45.0001); +select earth_box(ll_to_earth(90,180), + earth_distance(ll_to_earth(90,180),ll_to_earth(90.0001,180.0001))*1.00001) @ + ll_to_earth(90.0001,180.0001); + +-- +-- Test for points that shouldn't be in bounding boxes. Note that we need +-- to make points way outside, since some points close may be in the box +-- but further away than the distance we are testing. +-- + +select earth_box(ll_to_earth(0,0), + earth_distance(ll_to_earth(0,0),ll_to_earth(0,1))*.57735) @ + ll_to_earth(0,1); +select earth_box(ll_to_earth(0,0), + earth_distance(ll_to_earth(0,0),ll_to_earth(0,0.1))*.57735) @ + ll_to_earth(0,0.1); +select earth_box(ll_to_earth(0,0), + earth_distance(ll_to_earth(0,0),ll_to_earth(0,0.01))*.57735) @ + ll_to_earth(0,0.01); +select earth_box(ll_to_earth(0,0), + earth_distance(ll_to_earth(0,0),ll_to_earth(0,0.001))*.57735) @ + ll_to_earth(0,0.001); +select earth_box(ll_to_earth(0,0), + earth_distance(ll_to_earth(0,0),ll_to_earth(0,0.0001))*.57735) @ + ll_to_earth(0,0.0001); +select earth_box(ll_to_earth(0,0), + earth_distance(ll_to_earth(0,0),ll_to_earth(0.0001,0.0001))*.57735) @ + ll_to_earth(0.0001,0.0001); +select earth_box(ll_to_earth(45,45), + earth_distance(ll_to_earth(45,45),ll_to_earth(45.0001,45.0001))*.57735) @ + ll_to_earth(45.0001,45.0001); +select earth_box(ll_to_earth(90,180), + earth_distance(ll_to_earth(90,180),ll_to_earth(90.0001,180.0001))*.57735) @ + ll_to_earth(90.0001,180.0001); + +-- +-- Test the recommended constraints. +-- + +select is_point(ll_to_earth(0,0)); +select cube_dim(ll_to_earth(0,0)) <= 3; +select abs(cube_distance(ll_to_earth(0,0), '(0)'::cube) / earth() - 1) < + '10e-12'::float8; +select is_point(ll_to_earth(30,60)); +select cube_dim(ll_to_earth(30,60)) <= 3; +select abs(cube_distance(ll_to_earth(30,60), '(0)'::cube) / earth() - 1) < + '10e-12'::float8; +select is_point(ll_to_earth(60,90)); +select cube_dim(ll_to_earth(60,90)) <= 3; +select abs(cube_distance(ll_to_earth(60,90), '(0)'::cube) / earth() - 1) < + '10e-12'::float8; +select is_point(ll_to_earth(-30,-90)); +select cube_dim(ll_to_earth(-30,-90)) <= 3; +select abs(cube_distance(ll_to_earth(-30,-90), '(0)'::cube) / earth() - 1) < + '10e-12'::float8; +)