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README
Geocalc
Documentation: http://hexdocs.pm/geocalc
Calculate distance, bearing and more between latitude/longitude points
All the formulas are adapted from http://www.movable-type.co.uk/scripts/latlong.html
Installation
First, add Geocalc to your mix.exs dependencies:
def deps do
[{:geocalc, "~> 0.5"}]
end
And then fetch your dependencies:
$ mix deps.get
Usage
Calculate distance (in meters) between 2 points
Geocalc.distance_between([50.0663889, -5.7147222], [58.6438889, -3.07])
# => 968853.5464535094
Calculate if point is inside a circle given by a center point and a radius (in meters)
san_juan = [18.4655, 66.1057]
puerto_rico = [18.2208, 66.5901]
Geocalc.within?(170_000, san_juan, puerto_rico)
# => true
Get destination point given distance (meters) from start and end point
Geocalc.destination_point([50.0663889, -5.7147222], [58.6438889, -3.07], 100_000)
# => {:ok, [50.95412546615634, -5.488452905258299]}
Get destination point given distance (meters) and bearing from start point
Geocalc.destination_point([50.0663889, -5.7147222], 2.123, 100_000)
# => {:ok, [49.58859917965055, -4.533613856982982]}
Calculate bearing from start and end points
Geocalc.bearing([50.0663889, -5.7147222], [58.6438889, -3.07])
# => 0.1591708517503001
Get intersection point given start points and bearings
Geocalc.intersection_point([50.0663889, -5.7147222], 2.123, [55.0663889, -15.7147222], 2.123)
# => {:ok, [48.04228582473962, -1.0347033632388496]}
Geocalc.intersection_point([50.0663889, -5.7147222], 2.123, [50.0663889, -5.7147222], 2.123)
# => {:error, "No intersection point found"}
Get bounding box from a point and radius
berlin = [52.5075419, 13.4251364]
radius = 10_000
Geocalc.bounding_box(berlin, radius)
# => [[52.417520954378574, 13.277235453275123], [52.59756284562143, 13.573037346724874]]
Get bounding box from a list of points
berlin = [52.5075419, 13.4251364]
rome = [41.9102415, 12.3959161]
minsk = [53.8838884, 27.5949741]
Geocalc.bounding_box_for_points([berlin, rome, minsk])
# => [[41.9102415, 12.3959161], [53.8838884, 27.5949741]]
Get geographical center point
berlin = [52.5075419, 13.4251364]
london = [51.5286416, -0.1015987]
rome = [41.9102415, 12.3959161]
Geocalc.geographic_center([berlin, london, rome])
# => [48.810406537400254, 8.785092188535195]
Get maximum latitude reached when travelling on a great circle on given bearing from the point
berlin = [52.5075419, 13.4251364]
paris = [48.8588589, 2.3475569]
bearing = Geocalc.bearing(berlin, paris)
Geocalc.max_latitude(berlin, bearing)
# => 55.953467429882835
Get distance from the point to great circle defined by start-point and end-point
berlin = [52.5075419, 13.4251364]
london = [51.5286416, -0.1015987]
paris = [48.8588589, 2.3475569]
Geocalc.cross_track_distance_to(berlin, london, paris)
# => -877680.2992295175
Calculate how far the point is along a path from from start-point, heading towards end-point
berlin = [52.5075419, 13.4251364]
london = [51.5286416, -0.1015987]
paris = [48.8588589, 2.3475569]
Geocalc.along_track_distance_to(berlin, london, paris)
# => 310412.6031976226
Get the pair of meridians at which a great circle defined by two points crosses the given latitude
berlin = [52.5075419, 13.4251364]
paris = [48.8588589, 2.3475569]
Geocalc.crossing_parallels(berlin, paris, 12.3456)
# => {:ok, 123.179463369946, -39.81144878508576}
Convert degrees to radians
Geocalc.degrees_to_radians(245)
# => -2.007128639793479
Convert radians to degrees
Geocalc.radians_to_degrees(1.234)
# => 70.70299191914359
Geocalc.Point protocol
Everything which implements Geocalc.Point protocol can be passed as a point
argument for any function in this library.
We already have implementations for List, Tuple and Map.
You can define your own implementations if you need, everything we need to know
to do calculations are latitude and longitude.
Geocalc.DMS
Geocalc.DMS is a struct which contains degrees, minutes and seconds, which also can be used in Geocalc.Point.
Additionally now there is an options to convert Geocalc.DMS to decimal degrees.
dms = %Geocalc.DMS{hours: 13, minutes: 31, seconds: 59.998, direction: "N"}
Geocalc.DMS.to_decimal(dms)
# => 13.533332777777778