Calculate distance, bearing and more between latitude/longitude points.
All the formulas are adapted from http:https://www.movable-type.co.uk/scripts/latlong.html.
Area calculations are implemented from ETSI EN 302 931 v1.1.1 standard.
First, add :geocalc
to your mix.exs
dependencies:
def deps do
[
{:geocalc, "~> 0.8"}
]
end
And then fetch your dependencies:
$ mix deps.get
Geocalc.distance_between([50.0663889, -5.7147222], [58.6438889, -3.07])
# => 968853.5464535094
san_juan = [18.4655, 66.1057]
puerto_rico = [18.2208, 66.5901]
Geocalc.within?(170_000, san_juan, puerto_rico)
# => true
Geocalc.destination_point([50.0663889, -5.7147222], [58.6438889, -3.07], 100_000)
# => {:ok, [50.95412546615634, -5.488452905258299]}
Geocalc.destination_point([50.0663889, -5.7147222], 2.123, 100_000)
# => {:ok, [49.58859917965055, -4.533613856982982]}
Geocalc.bearing([50.0663889, -5.7147222], [58.6438889, -3.07])
# => 0.1591708517503001
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"}
berlin = [52.5075419, 13.4251364]
radius = 10_000
Geocalc.bounding_box(berlin, radius)
# => [[52.417520954378574, 13.277235453275123], [52.59756284562143, 13.573037346724874]]
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]]
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]
berlin = [52.5075419, 13.4251364]
paris = [48.8588589, 2.3475569]
bearing = Geocalc.bearing(berlin, paris)
Geocalc.max_latitude(berlin, bearing)
# => 55.953467429882835
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
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
berlin = [52.5075419, 13.4251364]
paris = [48.8588589, 2.3475569]
Geocalc.crossing_parallels(berlin, paris, 12.3456)
# => {:ok, 123.179463369946, -39.81144878508576}
Geocalc.degrees_to_radians(245)
# => -2.007128639793479
Geocalc.radians_to_degrees(1.234)
# => 70.70299191914359
Contains geometrical shapes designed for geofencing calculations, ie: determine if one point is inside or outside a geographical area. Three area shapes are defined:
- Circle
- Rectangle
- Ellipse
area = %Geocalc.Shape.Circle{latitude: 48.856614, longitude: 2.3522219, radius: 1000}
point = %{lat: 48.856612, lng: 2.3522217}
Geocalc.in_area?(area, point)
# => true
area = %Geocalc.Shape.Circle{latitude: 48.856614, longitude: 2.3522219, radius: 10}
point = %{lat: 48.856418, lng: 2.365871}
Geocalc.outside_area?(area, point)
# => true
area = %Geocalc.Shape.Circle{latitude: 48.856614, longitude: 2.3522219, radius: 1000}
point = %{lat: 48.856418, lng: 2.365871}
Geocalc.at_area_border?(area, point)
# => true
area = %Geocalc.Shape.Circle{latitude: 48.856614, longitude: 2.3522219, radius: 100}
point = %{lat: 48.856614, lng: 2.3522219}
Geocalc.at_center_point?(area, point)
# => true
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
is a struct which contains degrees, minutes and seconds, which also can be used in Geocalc.Point
.
dms = %Geocalc.DMS{hours: 13, minutes: 31, seconds: 59.998, direction: "N"}
Geocalc.DMS.to_degrees(dms)
# => 13.533332777777778
Run this command to generate the benchmark result:
$ MIX_ENV=bench mix bench
Settings:
duration: 1.0 s
## GeocalcBench
[03:00:36] 1/10: bearing
[03:00:37] 2/10: bounding box
[03:00:39] 3/10: bounding box for points
[03:00:53] 3/10: degrees to radians
[03:01:03] 5/10: destination point
[03:01:06] 6/10: distance between
[03:01:08] 7/10: intersection point
[03:01:11] 8/10: radians to degrees
[03:01:13] 9/10: within?/2
[03:01:15] 10/10: within?/3
Finished in 31.32 seconds
## GeocalcBench
benchmark name iterations average time
degrees to radians 100000000 0.09 µs/op
radians to degrees 10000000 0.17 µs/op
bounding box 1000000 1.51 µs/op
bearing 1000000 1.65 µs/op
destination point 1000000 1.89 µs/op
within?/3 1000000 2.10 µs/op
distance between 1000000 2.33 µs/op
intersection point 500000 4.96 µs/op
bounding box for points 500000 7.26 µs/op
within?/2 100000 12.17 µs/op
Copyright (c) 2015 Yura Tolstik
Released under the MIT License, which can be found in the repository in LICENSE.md.