earthdistance — calculate great-circle distances
earthdistance
The earthdistance module provides two different approaches to
calculating great circle distances on the surface of the Earth. The one
described first depends on the cube module.
The second one is based on the built-in point data type,
using longitude and latitude for the coordinates.
In this module, the Earth is assumed to be perfectly spherical.
(If that's too inaccurate for you, you might want to look at the
PostGIS
project.)
The cube module must be installed
before earthdistance can be installed
(although you can use the CASCADE option
of CREATE EXTENSION to install both in one command).
It is strongly recommended that earthdistance
and cube be installed in the same schema, and that
that schema be one for which CREATE privilege has not been and will not
be granted to any untrusted users.
Otherwise there are installation-time security hazards
if earthdistance's schema contains objects defined
by a hostile user.
Furthermore, when using earthdistance's functions
after installation, the entire search path should contain only trusted
schemas.
Cube-Based Earth Distances
Data is stored in cubes that are points (both corners are the same) using 3
coordinates representing the x, y, and z distance from the center of the
Earth. A domain
earth over type cube is provided, which
includes constraint checks that the value meets these restrictions and
is reasonably close to the actual surface of the Earth.
The radius of the Earth is obtained from the earth()
function. It is given in meters. But by changing this one function you can
change the module to use some other units, or to use a different value of
the radius that you feel is more appropriate.
This package has applications to astronomical databases as well.
Astronomers will probably want to change earth() to return a
radius of 180/pi() so that distances are in degrees.
Functions are provided to support input in latitude and longitude (in
degrees), to support output of latitude and longitude, to calculate
the great circle distance between two points and to easily specify a
bounding box usable for index searches.
The provided functions are shown
in .
Cube-Based Earthdistance Functions
Function
Description
earth
earth ()
float8
Returns the assumed radius of the Earth.
sec_to_gc
sec_to_gc ( float8 )
float8
Converts the normal straight line
(secant) distance between two points on the surface of the Earth
to the great circle distance between them.
gc_to_sec
gc_to_sec ( float8 )
float8
Converts the great circle distance between two points on the
surface of the Earth to the normal straight line (secant) distance
between them.
ll_to_earth
ll_to_earth ( float8, float8 )
earth
Returns the location of a point on the surface of the Earth given
its latitude (argument 1) and longitude (argument 2) in degrees.
latitude
latitude ( earth )
float8
Returns the latitude in degrees of a point on the surface of the
Earth.
longitude
longitude ( earth )
float8
Returns the longitude in degrees of a point on the surface of the
Earth.
earth_distance
earth_distance ( earth, earth )
float8
Returns the great circle distance between two points on the
surface of the Earth.
earth_box
earth_box ( earth, float8 )
cube
Returns a box suitable for an indexed search using the cube
@>
operator for points within a given great circle distance of a location.
Some points in this box are further than the specified great circle
distance from the location, so a second check using
earth_distance should be included in the query.
Point-Based Earth Distances
The second part of the module relies on representing Earth locations as
values of type point, in which the first component is taken to
represent longitude in degrees, and the second component is taken to
represent latitude in degrees. Points are taken as (longitude, latitude)
and not vice versa because longitude is closer to the intuitive idea of
x-axis and latitude to y-axis.
A single operator is provided, shown
in .
Point-Based Earthdistance Operators
Operator
Description
point <@> point
float8
Computes the distance in statute miles between
two points on the Earth's surface.
Note that unlike the cube-based part of the module, units
are hardwired here: changing the earth() function will
not affect the results of this operator.
One disadvantage of the longitude/latitude representation is that
you need to be careful about the edge conditions near the poles
and near +/- 180 degrees of longitude. The cube-based
representation avoids these discontinuities.