// See http://www.movable-type.co.uk/scripts/latlong.html // 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: [0, 0], c2: [0, 0], haversineDistance: 0, midpoint: [0, 0] }, { c1: [0, 0], c2: [45, 45], haversineDistance: 6671.695598673525, midpoint: [18.434948822922006, 24.0948425521107] }, { c1: [0, 0], c2: [-45, 45], haversineDistance: 6671.695598673525, midpoint: [-18.434948822922006, 24.0948425521107] }, { c1: [0, 0], c2: [-45, -45], haversineDistance: 6671.695598673525, midpoint: [-18.434948822922006, -24.0948425521107] }, { c1: [0, 0], c2: [45, -45], haversineDistance: 6671.695598673525, midpoint: [18.434948822922006, -24.0948425521107] }, { c1: [45, 45], c2: [45, 45], haversineDistance: 0, midpoint: [45.00000000000005, 45] }, { c1: [45, 45], c2: [-45, 45], haversineDistance: 6671.695598673525, midpoint: [0, 54.735610317245346] }, { c1: [45, 45], c2: [-45, -45], haversineDistance: 13343.391197347048, midpoint: [0, 0] }, { c1: [45, 45], c2: [45, -45], haversineDistance: 10007.543398010286, midpoint: [45.00000000000005, 0] }, { c1: [-45, 45], c2: [-45, 45], haversineDistance: 0, midpoint: [-45.00000000000005, 45] }, { c1: [-45, 45], c2: [-45, -45], haversineDistance: 10007.543398010286, midpoint: [-45.00000000000005, 0] }, { c1: [-45, 45], c2: [45, -45], haversineDistance: 13343.391197347048, midpoint: [0, 0] }, { c1: [-45, -45], c2: [-45, -45], haversineDistance: 0, midpoint: [-45.00000000000005, -45] }, { c1: [-45, -45], c2: [45, -45], haversineDistance: 6671.695598673525, midpoint: [0, -54.735610317245346] }, { c1: [45, -45], c2: [45, -45], haversineDistance: 0, midpoint: [45.00000000000005, -45] } ]; 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('interpolate', function() { it('results match at the start, midpoint, and end', function() { var e, i; for (i = 0; i < expected.length; ++i) { e = expected[i]; var c1 = sphere.interpolate(e.c1, e.c2, 0); expect(c1[0]).to.roughlyEqual(e.c1[0], 1e-9); expect(c1[1]).to.roughlyEqual(e.c1[1], 1e-9); var midpoint = sphere.interpolate(e.c1, e.c2, 0.5); expect(midpoint[0]).to.roughlyEqual(e.midpoint[0], 1e-9); expect(midpoint[1]).to.roughlyEqual(e.midpoint[1], 1e-5); var c2 = sphere.interpolate(e.c1, e.c2, 1); expect(c2[0]).to.roughlyEqual(e.c2[0], 1e-9); expect(c2[1]).to.roughlyEqual(e.c2[1], 1e-5); } }); }); 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); } }); }); describe('Vincenty area', function() { var geometry; before(function(done) { afterLoadText('spec/ol/format/wkt/illinois.wkt', function(wkt) { try { var format = new ol.format.WKT(); geometry = format.readGeometry(wkt); } catch (e) { done(e); } done(); }); }); it('results match the expected area of Ilinois', function() { var coords = geometry.getPolygon(0).getLinearRing(0).getCoordinates(); expect(ol.sphere.WGS84.geodesicArea(coords)).to.equal(145978332359.37125); }); }); }); goog.require('goog.math'); goog.require('ol.Sphere'); goog.require('ol.sphere.WGS84'); goog.require('ol.format.WKT');