jord-0.4.0.0: test/Data/Geo/Jord/GeodeticsSpec.hs
module Data.Geo.Jord.GeodeticsSpec
( spec
) where
import Control.Exception.Base
import Data.Geo.Jord
import Data.Maybe (fromJust)
import Test.Hspec
spec :: Spec
spec = do
describe "antipode" $ do
it "returns the antipodal point" $ do
let p = latLongHeight (readLatLong "484137N0061105E") (metres 15000)
let e = decimalLatLongHeight (-48.6936111) (-173.8152777) (metres 15000)
antipode p `shouldBe` e
it "returns the south pole when called with the north pole" $
antipode northPole `shouldBe` southPole
it "returns the north pole when called with the south pole" $
antipode southPole `shouldBe` northPole
describe "crossTrackDistance" $ do
it "returns a negative length when position is left of great circle (bearing)" $ do
let p = decimalLatLong 53.2611 (-0.7972)
let gc = greatCircle (decimalLatLong 53.3206 (-1.7297), decimalDegrees 96.0)
crossTrackDistance p gc r84 `shouldBe` metres (-305.6629)
it "returns a negative length when position is left of great circle" $ do
let p = decimalLatLong 53.2611 (-0.7972)
let gc = greatCircle (decimalLatLong 53.3206 (-1.7297), decimalLatLong 53.1887 0.1334)
crossTrackDistance p gc r84 `shouldBe` metres (-307.5471)
it "returns a positve length when position is right of great circle (bearing)" $ do
let p = readLatLong "531540N0014750W"
let gc = greatCircle (readLatLong "531914N0014347W", readAngle "96d01m18s")
crossTrackDistance p gc r84 `shouldBe` metres 7042.3242
it "returns a positive length when position is left of great circle" $ do
let p = antipode (decimalLatLong 53.2611 (-0.7972))
let gc = greatCircle (decimalLatLong 53.3206 (-1.7297), decimalLatLong 53.1887 0.1334)
crossTrackDistance p gc r84 `shouldBe` metres 307.5471
describe "destination" $ do
it "return the given point if distance is 0 meter" $ do
let p0 = readLatLong "531914N0014347W"
destination p0 (decimalDegrees 96.0217) zero r84 `shouldBe` p0
it "return the angular position along great-circle at distance and bearing" $ do
let p0 = latLongHeight (readLatLong "531914N0014347W") (metres 15000.0)
let p1 = decimalLatLongHeight 53.1882691 0.1332744 (metres 15000.0)
destination p0 (decimalDegrees 96.0217) (metres 124800) r84 `shouldBe` p1
it "return the ECEF position along great-circle at distance and bearing" $ do
let p0 = ecefToNVector (ecefMetres 3812864.094 (-115142.863) 5121515.161) s84
let p1 = ecefMetres 3826406.471 8900.5364 5112694.2331
let p = destination84 p0 (decimalDegrees 96.0217) (metres 124800)
nvectorToEcef p s84 `shouldBe` p1
describe "finalBearing" $ do
it "returns the Nothing if both point are the same" $ do
let p = readLatLong "500359N0054253W"
finalBearing p p `shouldBe` Nothing
it "returns 0° if both point have the same longitude (going north)" $ do
let p1 = latLongHeight (readLatLong "500359N0054253W") (metres 12000)
let p2 = latLongHeight (readLatLong "583838N0054253W") (metres 5000)
finalBearing p1 p2 `shouldBe` Just (decimalDegrees 0)
it "returns 180° if both point have the same longitude (going south)" $ do
let p1 = latLongHeight (readLatLong "583838N0054253W") (metres 12000)
let p2 = latLongHeight (readLatLong "500359N0054253W") (metres 5000)
finalBearing p1 p2 `shouldBe` Just (decimalDegrees 180)
it "returns 90° at the equator going east" $ do
let p1 = latLongHeight (readLatLong "000000N0000000E") (metres 12000)
let p2 = latLongHeight (readLatLong "000000N0010000E") (metres 5000)
finalBearing p1 p2 `shouldBe` Just (decimalDegrees 90)
it "returns 270° at the equator going west" $ do
let p1 = latLongHeight (readLatLong "000000N0010000E") (metres 12000)
let p2 = latLongHeight (readLatLong "000000N0000000E") (metres 5000)
finalBearing p1 p2 `shouldBe` Just (decimalDegrees 270)
it "returns the final bearing in compass angle" $ do
let p1 = readLatLong "500359N0054253W"
let p2 = readLatLong "583838N0030412W"
finalBearing p1 p2 `shouldBe` Just (decimalDegrees 11.2752013)
it "returns the final bearing in compass angle" $ do
let p1 = readLatLong "583838N0030412W"
let p2 = readLatLong "500359N0054253W"
finalBearing p1 p2 `shouldBe` Just (decimalDegrees 189.1198181)
it "returns the final bearing in compass angle" $ do
let p1 = readLatLong "535941S0255915W"
let p2 = readLatLong "54N154E"
finalBearing p1 p2 `shouldBe` Just (decimalDegrees 125.6839436)
describe "greatCircle smart constructors" $ do
it "fails if both positions are equal" $
greatCircleE (decimalLatLong 3 154, decimalLatLong 3 154) `shouldBe`
Left "Invalid Great Circle: positions are equal"
it "fails if both positions are antipodal" $
greatCircleE (decimalLatLong 3 154, antipode (decimalLatLong 3 154)) `shouldBe`
Left "Invalid Great Circle: positions are antipodal"
describe "initialBearing" $ do
it "returns Nothing if both point are the same" $ do
let p = readLatLong "500359N1795959W"
initialBearing p p `shouldBe` Nothing
it "returns 0° if both point have the same longitude (going north)" $ do
let p1 = latLongHeight (readLatLong "500359N0054253W") (metres 12000)
let p2 = latLongHeight (readLatLong "583838N0054253W") (metres 5000)
initialBearing p1 p2 `shouldBe` Just (decimalDegrees 0)
it "returns 180° if both point have the same longitude (going south)" $ do
let p1 = latLongHeight (readLatLong "583838N0054253W") (metres 12000)
let p2 = latLongHeight (readLatLong "500359N0054253W") (metres 5000)
initialBearing p1 p2 `shouldBe` Just (decimalDegrees 180)
it "returns 90° at the equator going east" $ do
let p1 = latLongHeight (readLatLong "000000N0000000E") (metres 12000)
let p2 = latLongHeight (readLatLong "000000N0010000E") (metres 5000)
initialBearing p1 p2 `shouldBe` Just (decimalDegrees 90)
it "returns 270° at the equator going west" $ do
let p1 = latLongHeight (readLatLong "000000N0010000E") (metres 12000)
let p2 = latLongHeight (readLatLong "000000N0000000E") (metres 5000)
initialBearing p1 p2 `shouldBe` Just (decimalDegrees 270)
it "returns the initial bearing in compass angle" $ do
let p1 = latLongHeight (readLatLong "500359N0054253W") (metres 12000)
let p2 = latLongHeight (readLatLong "583838N0030412W") (metres 5000)
initialBearing p1 p2 `shouldBe` Just (decimalDegrees 9.1198181)
it "returns the initial bearing in compass angle" $ do
let p1 = latLongHeight (readLatLong "583838N0030412W") (metres 12000)
let p2 = latLongHeight (readLatLong "500359N0054253W") (metres 5000)
initialBearing p1 p2 `shouldBe` Just (decimalDegrees 191.2752013)
describe "interpolate" $ do
let p1 = readLatLong "44N044E"
let p2 = readLatLong "46N046E"
it "fails if f < 0.0" $
evaluate (interpolate p1 p2 (-0.5)) `shouldThrow`
errorCall "fraction must be in range [0..1], was -0.5"
it "fails if f > 1.0" $
evaluate (interpolate p1 p2 1.1) `shouldThrow`
errorCall "fraction must be in range [0..1], was 1.1"
it "returns p0 if f == 0" $ interpolate p1 p2 0.0 `shouldBe` p1
it "returns p1 if f == 1" $ interpolate p1 p2 1.0 `shouldBe` p2
it "returns the interpolated position" $ do
let p3 = latLongHeight (readLatLong "53°28'46''N 2°14'43''W") (metres 10000)
let p4 = latLongHeight (readLatLong "55°36'21''N 13°02'09''E") (metres 20000)
interpolate p3 p4 0.5 `shouldBe`
decimalLatLongHeight 54.7835574 5.1949856 (metres 15000)
describe "insideSurface" $ do
let p1 = decimalLatLong 45 1
let p2 = decimalLatLong 45 2
let p3 = decimalLatLong 46 1
let p4 = decimalLatLong 46 2
let p5 = decimalLatLong 45.1 1.1
it "return False if polygon is empty" $ insideSurface p1 [] `shouldBe` False
it "return False if polygon does not define at least a triangle" $
insideSurface p1 [p1, p2] `shouldBe` False
it "returns True if point is inside polygon" $ do
let polygon = [p1, p2, p4, p3]
insideSurface p5 polygon `shouldBe` True
it "returns False if point is inside polygon" $ do
let polygon = [p1, p2, p4, p3]
let p = antipode p5
insideSurface p polygon `shouldBe` False
it "returns False if point is a vertex of the polygon" $ do
let polygon = [p1, p2, p4, p3]
insideSurface p1 polygon `shouldBe` False
it "handles closed polygons" $ do
let polygon = [p1, p2, p4, p3, p1]
insideSurface p5 polygon `shouldBe` True
it "handles concave polygons" $ do
let malmo = decimalLatLong 55.6050 13.0038
let ystad = decimalLatLong 55.4295 13.82
let lund = decimalLatLong 55.7047 13.1910
let helsingborg = decimalLatLong 56.0465 12.6945
let kristianstad = decimalLatLong 56.0294 14.1567
let polygon = [malmo, ystad, kristianstad, helsingborg, lund]
let hoor = decimalLatLong 55.9295 13.5297
let hassleholm = decimalLatLong 56.1589 13.7668
insideSurface hoor polygon `shouldBe` True
insideSurface hassleholm polygon `shouldBe` False
describe "intersections" $ do
it "returns nothing if both great circle are equals" $ do
let gc = greatCircle (decimalLatLong 51.885 0.235, decimalDegrees 108.63)
(intersections gc gc :: Maybe (LatLong, LatLong)) `shouldBe` Nothing
it "returns nothing if both great circle are equals (opposite orientation)" $ do
let gc1 = greatCircle (decimalLatLong 51.885 0.235, decimalLatLong 52.885 1.235)
let gc2 = greatCircle (decimalLatLong 52.885 1.235, decimalLatLong 51.885 0.235)
(intersections gc1 gc2 :: Maybe (LatLong, LatLong)) `shouldBe` Nothing
it "returns the two points where the two great circles intersects" $ do
let gc1 = greatCircle (decimalLatLong 51.885 0.235, decimalDegrees 108.63)
let gc2 = greatCircle (decimalLatLong 49.008 2.549, decimalDegrees 32.72)
let (i1, i2) = fromJust (intersections gc1 gc2)
i1 `shouldBe` decimalLatLong 50.9017226 4.4942782
i2 `shouldBe` antipode i1
describe "mean" $ do
it "returns Nothing if no point is given" $ (mean [] :: Maybe NVector) `shouldBe` Nothing
it "returns the unique given point" $ do
let p = readLatLong "500359N0054253W"
mean [p] `shouldBe` Just p
it "returns the geographical mean" $ do
let p1 = latLongHeight (readLatLong "500359N0054253W") (metres 15000.0)
let p2 = latLongHeight (readLatLong "583838N0030412W") (metres 25000.0)
let e = decimalLatLongHeight 54.3622869 (-4.5306725) zero
mean [p1, p2] `shouldBe` Just e
it "returns Nothing if list contains antipodal points" $ do
let points =
[ decimalLatLong 45 1
, decimalLatLong 45 2
, decimalLatLong 46 2
, decimalLatLong 46 1
, antipode (decimalLatLong 45 2)
]
mean points `shouldBe` Nothing
describe "surfaceDistance" $ do
it "returns 0 if both points are equal" $ do
let p = readLatLong "500359N1795959W"
surfaceDistance p p r84 `shouldBe` zero
it "returns the distance between 2 points" $ do
let p1 = readLatLong "500359N0054253W"
let p2 = readLatLong "583838N0030412W"
surfaceDistance84 p1 p2 `shouldBe` metres 968854.8685
it "handles singularity at the pole" $
surfaceDistance northPole southPole r84 `shouldBe` kilometres 20015.114352200002
it "handles the discontinuity at the Date Line" $ do
let p1 = readLatLong "500359N1795959W"
let p2 = readLatLong "500359N1795959E"
surfaceDistance p1 p2 (meanRadius wgs84) `shouldBe` metres 39.6596