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iD/test/spec/geo.js

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describe('iD.geo', function() {
describe('.roundCoords', function() {
expect(iD.geo.roundCoords([0.1, 1])).to.eql([0, 1]);
expect(iD.geo.roundCoords([0, 1])).to.eql([0, 1]);
expect(iD.geo.roundCoords([0, 1.1])).to.eql([0, 1]);
});
describe('.interp', function() {
it('interpolates halfway', function() {
var a = [0, 0],
b = [10, 10];
expect(iD.geo.interp(a, b, 0.5)).to.eql([5, 5]);
});
it('interpolates to one side', function() {
var a = [0, 0],
b = [10, 10];
expect(iD.geo.interp(a, b, 0)).to.eql([0, 0]);
});
});
describe('.cross', function() {
it('cross product of right hand turn is positive', function() {
var o = [0, 0],
a = [2, 0],
b = [0, 2];
expect(iD.geo.cross(o, a, b)).to.eql(4);
});
it('cross product of left hand turn is negative', function() {
var o = [0, 0],
a = [2, 0],
b = [0, -2];
expect(iD.geo.cross(o, a, b)).to.eql(-4);
});
it('cross product of colinear points is zero', function() {
var o = [0, 0],
a = [-2, 0],
b = [2, 0];
expect(iD.geo.cross(o, a, b)).to.equal(0);
});
});
describe('.euclideanDistance', function() {
it('distance between two same points is zero', function() {
var a = [0, 0],
b = [0, 0];
expect(iD.geo.euclideanDistance(a, b)).to.eql(0);
});
it('a straight 10 unit line is 10', function() {
var a = [0, 0],
b = [10, 0];
expect(iD.geo.euclideanDistance(a, b)).to.eql(10);
});
it('a pythagorean triangle is right', function() {
var a = [0, 0],
b = [4, 3];
expect(iD.geo.euclideanDistance(a, b)).to.eql(5);
});
});
describe('.latToMeters', function() {
it('0 degrees latitude is 0 meters', function() {
expect(iD.geo.latToMeters(0)).to.eql(0);
});
it('1 degree latitude is approx 111 km', function() {
expect(iD.geo.latToMeters(1)).to.be.within(110E3, 112E3);
});
it('-1 degree latitude is approx -111 km', function() {
expect(iD.geo.latToMeters(-1)).to.be.within(-112E3, -110E3);
});
});
describe('.lonToMeters', function() {
it('0 degrees longitude is 0 km', function() {
expect(iD.geo.lonToMeters(0, 0)).to.eql(0);
});
it('distance of 1 degree longitude varies with latitude', function() {
expect(iD.geo.lonToMeters(1, 0)).to.be.within(110E3, 112E3);
expect(iD.geo.lonToMeters(1, 15)).to.be.within(107E3, 108E3);
expect(iD.geo.lonToMeters(1, 30)).to.be.within(96E3, 97E3);
expect(iD.geo.lonToMeters(1, 45)).to.be.within(78E3, 79E3);
expect(iD.geo.lonToMeters(1, 60)).to.be.within(55E3, 56E3);
expect(iD.geo.lonToMeters(1, 75)).to.be.within(28E3, 29E3);
expect(iD.geo.lonToMeters(1, 90)).to.eql(0);
});
it('distance of -1 degree longitude varies with latitude', function() {
expect(iD.geo.lonToMeters(-1, 0)).to.be.within(-112E3, -110E3);
expect(iD.geo.lonToMeters(-1, -15)).to.be.within(-108E3, -107E3);
expect(iD.geo.lonToMeters(-1, -30)).to.be.within(-97E3, -96E3);
expect(iD.geo.lonToMeters(-1, -45)).to.be.within(-79E3, -78E3);
expect(iD.geo.lonToMeters(-1, -60)).to.be.within(-56E3, -55E3);
expect(iD.geo.lonToMeters(-1, -75)).to.be.within(-29E3, -28E3);
expect(iD.geo.lonToMeters(-1, -90)).to.eql(0);
});
});
describe('.metersToLat', function() {
it('0 meters is 0 degrees latitude', function() {
expect(iD.geo.metersToLat(0)).to.eql(0);
});
it('111 km is approx 1 degree latitude', function() {
expect(iD.geo.metersToLat(111E3)).to.be.within(0.995, 1.005);
});
it('-111 km is approx -1 degree latitude', function() {
expect(iD.geo.metersToLat(-111E3)).to.be.within(-1.005, -0.995);
});
});
describe('.metersToLon', function() {
it('0 meters is 0 degrees longitude', function() {
expect(iD.geo.metersToLon(0, 0)).to.eql(0);
});
it('distance of 1 degree longitude varies with latitude', function() {
expect(iD.geo.metersToLon(111320, 0)).to.be.within(0.995, 1.005);
expect(iD.geo.metersToLon(107551, 15)).to.be.within(0.995, 1.005);
expect(iD.geo.metersToLon(96486, 30)).to.be.within(0.995, 1.005);
expect(iD.geo.metersToLon(78847, 45)).to.be.within(0.995, 1.005);
expect(iD.geo.metersToLon(55800, 60)).to.be.within(0.995, 1.005);
expect(iD.geo.metersToLon(28902, 75)).to.be.within(0.995, 1.005);
expect(iD.geo.metersToLon(1, 90)).to.eql(0);
});
it('distance of -1 degree longitude varies with latitude', function() {
expect(iD.geo.metersToLon(-111320, 0)).to.be.within(-1.005, -0.995);
expect(iD.geo.metersToLon(-107551, 15)).to.be.within(-1.005, -0.995);
expect(iD.geo.metersToLon(-96486, 30)).to.be.within(-1.005, -0.995);
expect(iD.geo.metersToLon(-78847, 45)).to.be.within(-1.005, -0.995);
expect(iD.geo.metersToLon(-55800, 60)).to.be.within(-1.005, -0.995);
expect(iD.geo.metersToLon(-28902, 75)).to.be.within(-1.005, -0.995);
expect(iD.geo.metersToLon(-1, 90)).to.eql(0);
});
});
describe('.sphericalDistance', function() {
it('distance between two same points is zero', function() {
var a = [0, 0],
b = [0, 0];
expect(iD.geo.sphericalDistance(a, b)).to.eql(0);
});
it('a straight 1 degree line at the equator is aproximately 111 km', function() {
var a = [0, 0],
b = [1, 0];
expect(iD.geo.sphericalDistance(a, b)).to.be.within(110E3, 112E3);
});
it('a pythagorean triangle is (nearly) right', function() {
var a = [0, 0],
b = [4, 3];
expect(iD.geo.sphericalDistance(a, b)).to.be.within(555E3, 556E3);
});
it('east-west distances at high latitude are shorter', function() {
var a = [0, 60],
b = [1, 60];
expect(iD.geo.sphericalDistance(a, b)).to.be.within(55E3, 56E3);
});
it('north-south distances at high latitude are not shorter', function() {
var a = [0, 60],
b = [0, 61];
expect(iD.geo.sphericalDistance(a, b)).to.be.within(110E3, 112E3);
});
});
describe('.chooseEdge', function() {
var projection = function (l) { return l; };
projection.invert = projection;
it('returns undefined properties for a degenerate way (no nodes)', function() {
expect(iD.geo.chooseEdge([], [0, 0], projection)).to.eql({
index: undefined,
distance: Infinity,
loc: undefined
})
});
it('returns undefined properties for a degenerate way (single node)', function() {
expect(iD.geo.chooseEdge([iD.Node({loc: [0, 0]})], [0, 0], projection)).to.eql({
index: undefined,
distance: Infinity,
loc: undefined
})
});
it('calculates the orthogonal projection of a point onto a segment', function() {
// a --*--- b
// |
// c
//
// * = [2, 0]
var a = [0, 0],
b = [5, 0],
c = [2, 1],
nodes = [
iD.Node({loc: a}),
iD.Node({loc: b})
];
var choice = iD.geo.chooseEdge(nodes, c, projection);
expect(choice.index).to.eql(1);
expect(choice.distance).to.eql(1);
expect(choice.loc).to.eql([2, 0]);
});
it('returns the starting vertex when the orthogonal projection is < 0', function() {
var a = [0, 0],
b = [5, 0],
c = [-3, 4],
nodes = [
iD.Node({loc: a}),
iD.Node({loc: b})
];
var choice = iD.geo.chooseEdge(nodes, c, projection);
expect(choice.index).to.eql(1);
expect(choice.distance).to.eql(5);
expect(choice.loc).to.eql([0, 0]);
});
it('returns the ending vertex when the orthogonal projection is > 1', function() {
var a = [0, 0],
b = [5, 0],
c = [8, 4],
nodes = [
iD.Node({loc: a}),
iD.Node({loc: b})
];
var choice = iD.geo.chooseEdge(nodes, c, projection);
expect(choice.index).to.eql(1);
expect(choice.distance).to.eql(5);
expect(choice.loc).to.eql([5, 0]);
});
});
describe('.lineIntersection', function() {
it('returns null if lines are colinear with overlap', function() {
var a = [[0, 0], [10, 0]],
b = [[-5, 0], [5, 0]];
expect(iD.geo.lineIntersection(a, b)).to.be.null;
});
it('returns null if lines are colinear but disjoint', function() {
var a = [[5, 0], [10, 0]],
b = [[-10, 0], [-5, 0]];
expect(iD.geo.lineIntersection(a, b)).to.be.null;
});
it('returns null if lines are parallel', function() {
var a = [[0, 0], [10, 0]],
b = [[0, 5], [10, 5]];
expect(iD.geo.lineIntersection(a, b)).to.be.null;
});
it('returns the intersection point between 2 lines', function() {
var a = [[0, 0], [10, 0]],
b = [[5, 10], [5, -10]];
expect(iD.geo.lineIntersection(a, b)).to.eql([5, 0]);
});
it('returns null if lines are not parallel but not intersecting', function() {
var a = [[0, 0], [10, 0]],
b = [[-5, 10], [-5, -10]];
expect(iD.geo.lineIntersection(a, b)).to.be.null;
});
});
describe('.pointInPolygon', function() {
it('says a point in a polygon is on a polygon', function() {
var poly = [[0, 0], [0, 1], [1, 1], [1, 0], [0, 0]];
var point = [0.5, 0.5];
expect(iD.geo.pointInPolygon(point, poly)).to.be.true;
});
it('says a point outside of a polygon is outside', function() {
var poly = [
[0, 0],
[0, 1],
[1, 1],
[1, 0],
[0, 0]];
var point = [0.5, 1.5];
expect(iD.geo.pointInPolygon(point, poly)).to.be.false;
});
});
describe('.polygonContainsPolygon', function() {
it('says a polygon in a polygon is in', function() {
var outer = [[0, 0], [0, 3], [3, 3], [3, 0], [0, 0]];
var inner = [[1, 1], [1, 2], [2, 2], [2, 1], [1, 1]];
expect(iD.geo.polygonContainsPolygon(outer, inner)).to.be.true;
});
it('says a polygon outside of a polygon is out', function() {
var outer = [[0, 0], [0, 3], [3, 3], [3, 0], [0, 0]];
var inner = [[1, 1], [1, 9], [2, 2], [2, 1], [1, 1]];
expect(iD.geo.polygonContainsPolygon(outer, inner)).to.be.false;
});
});
describe('.polygonIntersectsPolygon', function() {
it('says a polygon in a polygon intersects it', function() {
var outer = [[0, 0], [0, 3], [3, 3], [3, 0], [0, 0]];
var inner = [[1, 1], [1, 2], [2, 2], [2, 1], [1, 1]];
expect(iD.geo.polygonIntersectsPolygon(outer, inner)).to.be.true;
});
it('says a polygon that partially intersects does when some points are contained', function() {
var outer = [[0, 0], [0, 3], [3, 3], [3, 0], [0, 0]];
var inner = [[-1, -1], [1, 2], [2, 2], [2, 1], [1, 1]];
expect(iD.geo.polygonIntersectsPolygon(outer, inner)).to.be.true;
});
it('says a polygon that partially intersects does when no points are contained', function() {
var outer = [[0, 0], [0, 3], [3, 3], [3, 0], [0, 0]];
var inner = [[1, -1], [1, 4], [2, 4], [2, -1], [1, -1]];
expect(iD.geo.polygonIntersectsPolygon(outer, inner)).to.be.true;
});
it('says totally disjoint polygons do not intersect', function() {
var outer = [[0, 0], [0, 3], [3, 3], [3, 0], [0, 0]];
var inner = [[-1, -1], [-1, -2], [-2, -2], [-2, -1], [-1, -1]];
expect(iD.geo.polygonIntersectsPolygon(outer, inner)).to.be.false;
});
});
describe('.pathLength', function() {
it('calculates a simple path length', function() {
var path = [[0, 0], [0, 1], [3, 5]];
expect(iD.geo.pathLength(path)).to.eql(6);
});
it('does not fail on single-point path', function() {
var path = [[0, 0]];
expect(iD.geo.pathLength(path)).to.eql(0);
});
it('estimates zero-length edges', function() {
var path = [[0, 0], [0, 0]];
expect(iD.geo.pathLength(path)).to.eql(0);
});
});
});
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