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