Files
openlayers/test/spec/ol/sphere/sphere.test.js
2013-03-19 12:03:31 +01:00

552 lines
18 KiB
JavaScript

// See http://www.movable-type.co.uk/scripts/latlong.html
// FIXME add tests for crossTrackDistance
// FIXME add tests for maximumLatitude
// FIXME add tests for offset
goog.provide('ol.test.Sphere');
describe('ol.Sphere', function() {
var sphere = new ol.Sphere(6371);
var expected = [
{
c1: new ol.Coordinate(0, 0),
c2: new ol.Coordinate(0, 0),
cosineDistance: 0,
equirectangularDistance: 0,
finalBearing: 180,
haversineDistance: 0,
initialBearing: 0,
midpoint: new ol.Coordinate(0, 0)
},
{
c1: new ol.Coordinate(0, 0),
c2: new ol.Coordinate(45, 45),
cosineDistance: 6671.695598673524,
equirectangularDistance: 6812.398372654371,
finalBearing: 54.735610317245346,
haversineDistance: 6671.695598673525,
initialBearing: 35.264389682754654,
midpoint: new ol.Coordinate(18.434948822922006, 24.0948425521107)
},
{
c1: new ol.Coordinate(0, 0),
c2: new ol.Coordinate(-45, 45),
cosineDistance: 6671.695598673524,
equirectangularDistance: 6812.398372654371,
finalBearing: 305.26438968275465,
haversineDistance: 6671.695598673525,
initialBearing: -35.264389682754654,
midpoint: new ol.Coordinate(-18.434948822922006, 24.0948425521107)
},
{
c1: new ol.Coordinate(0, 0),
c2: new ol.Coordinate(-45, -45),
cosineDistance: 6671.695598673524,
equirectangularDistance: 6812.398372654371,
finalBearing: 234.73561031724535,
haversineDistance: 6671.695598673525,
initialBearing: -144.73561031724535,
midpoint: new ol.Coordinate(-18.434948822922006, -24.0948425521107)
},
{
c1: new ol.Coordinate(0, 0),
c2: new ol.Coordinate(45, -45),
cosineDistance: 6671.695598673524,
equirectangularDistance: 6812.398372654371,
finalBearing: 125.26438968275465,
haversineDistance: 6671.695598673525,
initialBearing: 144.73561031724535,
midpoint: new ol.Coordinate(18.434948822922006, -24.0948425521107)
},
{
c1: new ol.Coordinate(0, 0),
c2: new ol.Coordinate(90, 180),
cosineDistance: 10007.543398010286,
equirectangularDistance: 20015.086796020572,
finalBearing: 90,
haversineDistance: 10007.543398010288,
initialBearing: -90,
midpoint: new ol.Coordinate(-45.00000000000005, 4.961398865471767e-15)
},
{
c1: new ol.Coordinate(0, 0),
c2: new ol.Coordinate(-90, 180),
cosineDistance: 10007.543398010286,
equirectangularDistance: 20015.086796020572,
finalBearing: 270,
haversineDistance: 10007.543398010288,
initialBearing: 90,
midpoint: new ol.Coordinate(45.00000000000005, 4.961398865471767e-15)
},
{
c1: new ol.Coordinate(0, 0),
c2: new ol.Coordinate(90, -180),
cosineDistance: 10007.543398010286,
equirectangularDistance: 20015.086796020572,
finalBearing: 90,
haversineDistance: 10007.543398010288,
initialBearing: -90.00000000000001,
midpoint: new ol.Coordinate(-45.00000000000005, -4.961398865471767e-15)
},
{
c1: new ol.Coordinate(0, 0),
c2: new ol.Coordinate(90, -180),
cosineDistance: 10007.543398010286,
equirectangularDistance: 20015.086796020572,
finalBearing: 90,
haversineDistance: 10007.543398010288,
initialBearing: -90.00000000000001,
midpoint: new ol.Coordinate(-45.00000000000005, -4.961398865471767e-15)
},
{
c1: new ol.Coordinate(45, 45),
c2: new ol.Coordinate(45, 45),
cosineDistance: 0,
equirectangularDistance: 0,
finalBearing: 180,
haversineDistance: 0,
initialBearing: 0,
midpoint: new ol.Coordinate(45.00000000000005, 45)
},
{
c1: new ol.Coordinate(45, 45),
c2: new ol.Coordinate(-45, 45),
cosineDistance: 6671.695598673525,
equirectangularDistance: 7076.401799751738,
finalBearing: 234.73561031724535,
haversineDistance: 6671.695598673525,
initialBearing: -54.73561031724535,
midpoint: new ol.Coordinate(0, 54.735610317245346)
},
{
c1: new ol.Coordinate(45, 45),
c2: new ol.Coordinate(-45, -45),
cosineDistance: 13343.391197347048,
equirectangularDistance: 14152.803599503475,
finalBearing: 234.73561031724535,
haversineDistance: 13343.391197347048,
initialBearing: -125.26438968275465,
midpoint: new ol.Coordinate(0, 0)
},
{
c1: new ol.Coordinate(45, 45),
c2: new ol.Coordinate(45, -45),
cosineDistance: 10007.543398010284,
equirectangularDistance: 10007.543398010286,
finalBearing: 180,
haversineDistance: 10007.543398010286,
initialBearing: 180,
midpoint: new ol.Coordinate(45.00000000000005, 0)
},
{
c1: new ol.Coordinate(45, 45),
c2: new ol.Coordinate(90, 180),
cosineDistance: 13343.39119734705,
equirectangularDistance: 15132.953174634127,
finalBearing: 35.264389682754654,
haversineDistance: 13343.391197347048,
initialBearing: -54.735610317245346,
midpoint: new ol.Coordinate(-45.00000000000005, 45.00000000000001)
},
{
c1: new ol.Coordinate(45, 45),
c2: new ol.Coordinate(-90, 180),
cosineDistance: 6671.695598673524,
equirectangularDistance: 16072.9523901477,
finalBearing: 324.73561031724535,
haversineDistance: 6671.695598673525,
initialBearing: 125.26438968275465,
midpoint: new ol.Coordinate(71.56505117707799, 24.094842552110702)
},
{
c1: new ol.Coordinate(45, 45),
c2: new ol.Coordinate(90, -180),
cosineDistance: 13343.39119734705,
equirectangularDistance: 25092.03003421417,
finalBearing: 35.264389682754654,
haversineDistance: 13343.391197347048,
initialBearing: -54.735610317245346,
midpoint: new ol.Coordinate(-45.00000000000005, 45)
},
{
c1: new ol.Coordinate(45, 45),
c2: new ol.Coordinate(90, -180),
cosineDistance: 13343.39119734705,
equirectangularDistance: 25092.03003421417,
finalBearing: 35.264389682754654,
haversineDistance: 13343.391197347048,
initialBearing: -54.735610317245346,
midpoint: new ol.Coordinate(-45.00000000000005, 45)
},
{
c1: new ol.Coordinate(-45, 45),
c2: new ol.Coordinate(-45, 45),
cosineDistance: 0,
equirectangularDistance: 0,
finalBearing: 180,
haversineDistance: 0,
initialBearing: 0,
midpoint: new ol.Coordinate(-45.00000000000005, 45)
},
{
c1: new ol.Coordinate(-45, 45),
c2: new ol.Coordinate(-45, -45),
cosineDistance: 10007.543398010284,
equirectangularDistance: 10007.543398010286,
finalBearing: 180,
haversineDistance: 10007.543398010286,
initialBearing: 180,
midpoint: new ol.Coordinate(-45.00000000000005, 0)
},
{
c1: new ol.Coordinate(-45, 45),
c2: new ol.Coordinate(45, -45),
cosineDistance: 13343.391197347048,
equirectangularDistance: 14152.803599503475,
finalBearing: 125.26438968275465,
haversineDistance: 13343.391197347048,
initialBearing: 125.26438968275465,
midpoint: new ol.Coordinate(0, 0)
},
{
c1: new ol.Coordinate(-45, 45),
c2: new ol.Coordinate(90, 180),
cosineDistance: 6671.695598673524,
equirectangularDistance: 16072.9523901477,
finalBearing: 35.264389682754654,
haversineDistance: 6671.695598673525,
initialBearing: -125.26438968275465,
midpoint: new ol.Coordinate(-71.56505117707799, 24.094842552110702)
},
{
c1: new ol.Coordinate(-45, 45),
c2: new ol.Coordinate(-90, 180),
cosineDistance: 13343.39119734705,
equirectangularDistance: 15132.953174634127,
finalBearing: 324.73561031724535,
haversineDistance: 13343.391197347048,
initialBearing: 54.735610317245346,
midpoint: new ol.Coordinate(45.00000000000005, 45.00000000000001)
},
{
c1: new ol.Coordinate(-45, 45),
c2: new ol.Coordinate(90, -180),
cosineDistance: 6671.695598673525,
equirectangularDistance: 25669.894779453065,
finalBearing: 35.264389682754654,
haversineDistance: 6671.695598673525,
initialBearing: -125.26438968275465,
midpoint: new ol.Coordinate(-71.56505117707799, 24.0948425521107)
},
{
c1: new ol.Coordinate(-45, 45),
c2: new ol.Coordinate(90, -180),
cosineDistance: 6671.695598673525,
equirectangularDistance: 25669.894779453065,
finalBearing: 35.264389682754654,
haversineDistance: 6671.695598673525,
initialBearing: -125.26438968275465,
midpoint: new ol.Coordinate(-71.56505117707799, 24.0948425521107)
},
{
c1: new ol.Coordinate(-45, -45),
c2: new ol.Coordinate(-45, -45),
cosineDistance: 0,
equirectangularDistance: 0,
finalBearing: 180,
haversineDistance: 0,
initialBearing: 0,
midpoint: new ol.Coordinate(-45.00000000000005, -45)
},
{
c1: new ol.Coordinate(-45, -45),
c2: new ol.Coordinate(45, -45),
cosineDistance: 6671.695598673525,
equirectangularDistance: 7076.401799751738,
finalBearing: 54.735610317245346,
haversineDistance: 6671.695598673525,
initialBearing: 125.26438968275465,
midpoint: new ol.Coordinate(0, -54.735610317245346)
},
{
c1: new ol.Coordinate(-45, -45),
c2: new ol.Coordinate(90, 180),
cosineDistance: 6671.695598673525,
equirectangularDistance: 25669.894779453065,
finalBearing: 144.73561031724535,
haversineDistance: 6671.695598673525,
initialBearing: -54.735610317245346,
midpoint: new ol.Coordinate(-71.56505117707799, -24.0948425521107)
},
{
c1: new ol.Coordinate(-45, -45),
c2: new ol.Coordinate(-90, 180),
cosineDistance: 13343.39119734705,
equirectangularDistance: 25092.03003421417,
finalBearing: 215.26438968275465,
haversineDistance: 13343.391197347048,
initialBearing: 125.26438968275465,
midpoint: new ol.Coordinate(45.00000000000005, -45)
},
{
c1: new ol.Coordinate(-45, -45),
c2: new ol.Coordinate(90, -180),
cosineDistance: 6671.695598673524,
equirectangularDistance: 16072.9523901477,
finalBearing: 144.73561031724535,
haversineDistance: 6671.695598673525,
initialBearing: -54.73561031724536,
midpoint: new ol.Coordinate(-71.56505117707799, -24.094842552110702)
},
{
c1: new ol.Coordinate(-45, -45),
c2: new ol.Coordinate(90, -180),
cosineDistance: 6671.695598673524,
equirectangularDistance: 16072.9523901477,
finalBearing: 144.73561031724535,
haversineDistance: 6671.695598673525,
initialBearing: -54.73561031724536,
midpoint: new ol.Coordinate(-71.56505117707799, -24.094842552110702)
},
{
c1: new ol.Coordinate(45, -45),
c2: new ol.Coordinate(45, -45),
cosineDistance: 0,
equirectangularDistance: 0,
finalBearing: 180,
haversineDistance: 0,
initialBearing: 0,
midpoint: new ol.Coordinate(45.00000000000005, -45)
},
{
c1: new ol.Coordinate(45, -45),
c2: new ol.Coordinate(90, 180),
cosineDistance: 13343.39119734705,
equirectangularDistance: 25092.03003421417,
finalBearing: 144.73561031724535,
haversineDistance: 13343.391197347048,
initialBearing: -125.26438968275465,
midpoint: new ol.Coordinate(-45.00000000000005, -45)
},
{
c1: new ol.Coordinate(45, -45),
c2: new ol.Coordinate(-90, 180),
cosineDistance: 6671.695598673525,
equirectangularDistance: 25669.894779453065,
finalBearing: 215.26438968275465,
haversineDistance: 6671.695598673525,
initialBearing: 54.735610317245346,
midpoint: new ol.Coordinate(71.56505117707799, -24.0948425521107)
},
{
c1: new ol.Coordinate(45, -45),
c2: new ol.Coordinate(90, -180),
cosineDistance: 13343.39119734705,
equirectangularDistance: 15132.953174634127,
finalBearing: 144.73561031724535,
haversineDistance: 13343.391197347048,
initialBearing: -125.26438968275465,
midpoint: new ol.Coordinate(-45.00000000000005, -45.00000000000001)
},
{
c1: new ol.Coordinate(45, -45),
c2: new ol.Coordinate(90, -180),
cosineDistance: 13343.39119734705,
equirectangularDistance: 15132.953174634127,
finalBearing: 144.73561031724535,
haversineDistance: 13343.391197347048,
initialBearing: -125.26438968275465,
midpoint: new ol.Coordinate(-45.00000000000005, -45.00000000000001)
},
{
c1: new ol.Coordinate(90, 180),
c2: new ol.Coordinate(90, 180),
cosineDistance: 0,
equirectangularDistance: 0,
finalBearing: 180,
haversineDistance: 0,
initialBearing: 0,
midpoint: new ol.Coordinate(-90, 7.0164775638926606e-15)
},
{
c1: new ol.Coordinate(90, 180),
c2: new ol.Coordinate(-90, 180),
cosineDistance: 20015.086796020572,
equirectangularDistance: 20015.086796020572,
finalBearing: 26.565051177077976,
haversineDistance: 20015.086796020572,
initialBearing: 153.43494882292202,
midpoint: new ol.Coordinate(-180, 63.43494882292201)
},
{
c1: new ol.Coordinate(90, 180),
c2: new ol.Coordinate(90, -180),
cosineDistance: 0,
equirectangularDistance: 40030.173592041145,
finalBearing: 0,
haversineDistance: 1.5603934160404731e-12,
initialBearing: 0,
midpoint: new ol.Coordinate(-90, 0)
},
{
c1: new ol.Coordinate(90, 180),
c2: new ol.Coordinate(90, -180),
cosineDistance: 0,
equirectangularDistance: 40030.173592041145,
finalBearing: 0,
haversineDistance: 1.5603934160404731e-12,
initialBearing: 0,
midpoint: new ol.Coordinate(-90, 0)
},
{
c1: new ol.Coordinate(-90, 180),
c2: new ol.Coordinate(-90, 180),
cosineDistance: 0,
equirectangularDistance: 0,
finalBearing: 180,
haversineDistance: 0,
initialBearing: 0,
midpoint: new ol.Coordinate(90, 7.0164775638926606e-15)
},
{
c1: new ol.Coordinate(-90, 180),
c2: new ol.Coordinate(90, -180),
cosineDistance: 20015.086796020572,
equirectangularDistance: 44755.09465146047,
finalBearing: 270,
haversineDistance: 20015.086796020572,
initialBearing: -90,
midpoint: new ol.Coordinate(-180, 0)
},
{
c1: new ol.Coordinate(-90, 180),
c2: new ol.Coordinate(90, -180),
cosineDistance: 20015.086796020572,
equirectangularDistance: 44755.09465146047,
finalBearing: 270,
haversineDistance: 20015.086796020572,
initialBearing: -90,
midpoint: new ol.Coordinate(-180, 0)
},
{
c1: new ol.Coordinate(90, -180),
c2: new ol.Coordinate(90, -180),
cosineDistance: 0,
equirectangularDistance: 0,
finalBearing: 180,
haversineDistance: 0,
initialBearing: 0,
midpoint: new ol.Coordinate(-90, -7.0164775638926606e-15)
},
{
c1: new ol.Coordinate(90, -180),
c2: new ol.Coordinate(90, -180),
cosineDistance: 0,
equirectangularDistance: 0,
finalBearing: 180,
haversineDistance: 0,
initialBearing: 0,
midpoint: new ol.Coordinate(-90, -7.0164775638926606e-15)
},
{
c1: new ol.Coordinate(90, -180),
c2: new ol.Coordinate(90, -180),
cosineDistance: 0,
equirectangularDistance: 0,
finalBearing: 180,
haversineDistance: 0,
initialBearing: 0,
midpoint: new ol.Coordinate(-90, -7.0164775638926606e-15)
}
];
describe('cosineDistance', function() {
it('results match Chris Veness\'s reference implementation', function() {
var e, i;
for (i = 0; i < expected.length; ++i) {
e = expected[i];
expect(sphere.cosineDistance(e.c1, e.c2)).to.roughlyEqual(
e.cosineDistance, 1e-9);
}
});
});
describe('equirectangularDistance', function() {
it('results match Chris Veness\'s reference implementation', function() {
var e, i;
for (i = 0; i < expected.length; ++i) {
e = expected[i];
expect(sphere.equirectangularDistance(e.c1, e.c2)).to.roughlyEqual(
e.equirectangularDistance, 1e-9);
}
});
});
describe('finalBearing', function() {
it('results match Chris Veness\'s reference implementation', function() {
var e, i;
for (i = 0; i < expected.length; ++i) {
e = expected[i];
expect(sphere.finalBearing(e.c1, e.c2)).to.roughlyEqual(
e.finalBearing, 1e-9);
}
});
});
describe('haversineDistance', function() {
it('results match Chris Veness\'s reference implementation', function() {
var e, i;
for (i = 0; i < expected.length; ++i) {
e = expected[i];
expect(sphere.haversineDistance(e.c1, e.c2)).to.roughlyEqual(
e.haversineDistance, 1e-9);
}
});
});
describe('initialBearing', function() {
it('results match Chris Veness\'s reference implementation', function() {
var e, i;
for (i = 0; i < expected.length; ++i) {
e = expected[i];
expect(sphere.initialBearing(e.c1, e.c2)).to.roughlyEqual(
e.initialBearing, 1e-9);
}
});
});
describe('midpoint', function() {
it('results match Chris Veness\'s reference implementation', function() {
var e, i, midpoint;
for (i = 0; i < expected.length; ++i) {
e = expected[i];
midpoint = sphere.midpoint(e.c1, e.c2);
// Test modulo 360 to avoid unnecessary expensive modulo operations
// in our implementation.
expect(goog.math.modulo(midpoint.x, 360)).to.roughlyEqual(
goog.math.modulo(e.midpoint.x, 360), 1e-9);
expect(midpoint.y).to.roughlyEqual(e.midpoint.y, 1e-9);
}
});
});
});
goog.require('ol.Coordinate');
goog.require('ol.Sphere');