earthdistance
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> package (which
must> be installed before earthdistance> can be
installed). 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.)
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 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 following functions are provided:
Cube-based earthdistance functions
Function
Returns
Description
earth()
float8
Returns the assumed radius of the Earth.
sec_to_gc(float8)
float8
Converts the normal straight line
(secant) distance between between two points on the surface of the Earth
to the great circle distance between them.
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(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(earth)
float8
Returns the latitude in degrees of a point on the surface of the
Earth.
longitude(earth)
float8
Returns the longitude in degrees of a point on the surface of the
Earth.
earth_distance(earth, earth)
float8
Returns the great circle distance between two points on the
surface of the Earth.
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:
Point-based earthdistance operators
Operator
Returns
Description
point> <@> point>
float8
Gives 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.