Calculates bearing. Return radians.

Example

iex> berlin = {52.5075419, 13.4251364}
iex> paris = {48.8588589, 2.3475569}
iex> Geocalc.bearing(berlin, paris)
-1.9739245359361486
iex> Geocalc.bearing(paris, berlin)
1.0178267866082613

Example

iex> berlin = %{lat: 52.5075419, lon: 13.4251364}
iex> paris = %{latitude: 48.8588589, longitude: 2.3475569}
iex> Geocalc.bearing(berlin, paris)
-1.9739245359361486

Calculates a bounding box around a point with a radius in meters Returns an array with 2 points (list format). The bottom left point, and the top-right one

Example

iex> berlin = [52.5075419, 13.4251364]
iex> radius = 10_000
iex> Geocalc.bounding_box(berlin, radius)
[[52.417520954378574, 13.277235453275123], [52.59756284562143, 13.573037346724874]]

Compute distance from the point to great circle defined by start-point and end-point. Return distance in meters.

Example

iex> berlin = [52.5075419, 13.4251364]
iex> london = [51.5286416, -0.1015987]
iex> paris = [48.8588589, 2.3475569]
iex> Geocalc.cross_track_distance_to(berlin, london, paris)
-877680.2992295175

Returns the pair of meridians at which a great circle defined by two points crosses the given latitude. Return longitudes.

Example

iex> berlin = [52.5075419, 13.4251364]
iex> paris = [48.8588589, 2.3475569]
iex> Geocalc.crossing_parallels(berlin, paris, 12.3456)
{:ok, 123.179463369946, -39.81144878508576}

Example

iex> point_1 = %{lat: 0, lng: 0}
iex> point_2 = %{lat: -180, lng: -90}
iex> latitude = 45.0
iex> Geocalc.crossing_parallels(point_1, point_2, latitude)
{:error, "Not found"}

Converts degrees to radians. Return radians.

Example

iex> Geocalc.degrees_to_radians(143.67156782221554)
2.5075419

Example

iex> Geocalc.degrees_to_radians(-10.735322818996854)
-0.18736672945597435

Finds point between start and end points in direction to end point with given distance (in meters). Finds point from start point with given distance (in meters) and bearing. Return array with latitude and longitude.

Example

iex> berlin = [52.5075419, 13.4251364]
iex> paris = [48.8588589, 2.3475569]
iex> bearing = Geocalc.bearing(berlin, paris)
iex> distance = 400_000
iex> Geocalc.destination_point(berlin, bearing, distance)
{:ok, [50.97658022467569, 8.165929595956982]}

Example

iex> zero_point = {0.0, 0.0}
iex> equator_degrees = 90.0
iex> equator_bearing = Geocalc.degrees_to_radians(equator_degrees)
iex> distance = 1_000_000
iex> Geocalc.destination_point(zero_point, equator_bearing, distance)
{:ok, [5.484172965344896e-16, 8.993216059187306]}

Example

iex> berlin = %{lat: 52.5075419, lon: 13.4251364}
iex> bearing = -1.9739245359361486
iex> distance = 100_000
iex> Geocalc.destination_point(berlin, bearing, distance)
{:ok, [52.147030316318904, 12.076990111001148]}

Example

iex> berlin = [52.5075419, 13.4251364]
iex> paris = [48.8588589, 2.3475569]
iex> distance = 250_000
iex> Geocalc.destination_point(berlin, paris, distance)
{:ok, [51.578054644172525, 10.096282782248409]}

Calculates distance between 2 points. Return distance in meters.

Example

iex> berlin = [52.5075419, 13.4251364]
iex> paris = [48.8588589, 2.3475569]
iex> Geocalc.distance_between(berlin, paris)
878327.4291149472
iex> Geocalc.distance_between(paris, berlin)
878327.4291149472

Example

iex> berlin = %{lat: 52.5075419, lon: 13.4251364}
iex> london = %{lat: 51.5286416, lng: -0.1015987}
iex> paris = %{latitude: 48.8588589, longitude: 2.3475569}
iex> Geocalc.distance_between(berlin, paris)
878327.4291149472
iex> Geocalc.distance_between(paris, london)
344229.88946533133

Compute the geographic center (aka geographic midpoint, center of gravity) for an array of geocoded objects and/or [lat,lon] arrays (can be mixed). Any objects missing coordinates are ignored. Follows the procedure documented at http://www.geomidpoint.com/calculation.html.

Example

iex> point_1 = [0, 0]
iex> point_2 = [0, 3]
iex> Geocalc.geographic_center([point_1, point_2])
[0.0, 1.5]

Finds intersection point from start points with given bearings. Return array with latitude and longitude. Raise an exception if no intersection point found.

Example

iex> berlin = [52.5075419, 13.4251364]
iex> berlin_bearing = -2.102
iex> london = [51.5286416, -0.1015987]
iex> london_bearing = 1.502
iex> Geocalc.intersection_point(berlin, berlin_bearing, london, london_bearing)
{:ok, [51.49271112601574, 10.735322818996854]}

Example

iex> berlin = {52.5075419, 13.4251364}
iex> london = {51.5286416, -0.1015987}
iex> paris = {48.8588589, 2.3475569}
iex> Geocalc.intersection_point(berlin, london, paris, london)
{:ok, [51.5286416, -0.10159869999999019]}

Example

iex> berlin = %{lat: 52.5075419, lng: 13.4251364}
iex> bearing = Geocalc.degrees_to_radians(90.0)
iex> Geocalc.intersection_point(berlin, bearing, berlin, bearing)
{:error, "No intersection point found"}

Returns maximum latitude reached when travelling on a great circle on given bearing from the point (Clairaut’s formula). Negate the result for the minimum latitude (in the Southern hemisphere). The maximum latitude is independent of longitude; it will be the same for all points on a given latitude. Return radians.

Example

iex> berlin = [52.5075419, 13.4251364]
iex> paris = [48.8588589, 2.3475569]
iex> bearing = Geocalc.bearing(berlin, paris)
iex> Geocalc.max_latitude(berlin, bearing)
55.953467429882835

Converts radians to degrees. Return degrees.

Example

iex> Geocalc.radians_to_degrees(2.5075419)
143.67156782221554

Example

iex> Geocalc.radians_to_degrees(-0.1015987)
-5.821176714015797