DSDSWeb/static/js/Cesium-1.53/Specs/Core/EllipsoidSpec.js

defineSuite([
        'Core/Ellipsoid',
        'Core/Cartesian3',
        'Core/Cartographic',
        'Core/Math',
        'Specs/createPackableSpecs'
    ], function(
        Ellipsoid,
        Cartesian3,
        Cartographic,
        CesiumMath,
        createPackableSpecs) {
    'use strict';

    var radii = new Cartesian3(1.0, 2.0, 3.0);
    var radiiSquared = Cartesian3.multiplyComponents(radii, radii, new Cartesian3());
    var radiiToTheFourth = Cartesian3.multiplyComponents(radiiSquared, radiiSquared, new Cartesian3());
    var oneOverRadii = new Cartesian3(1 / radii.x, 1 / radii.y, 1 / radii.z);
    var oneOverRadiiSquared = new Cartesian3(1 / radiiSquared.x, 1 / radiiSquared.y, 1 / radiiSquared.z);
    var minimumRadius = 1.0;
    var maximumRadius = 3.0;

    //All values computes using STK Components
    var spaceCartesian = new Cartesian3(4582719.8827300891, -4582719.8827300882, 1725510.4250797231);
    var spaceCartesianGeodeticSurfaceNormal = new Cartesian3(0.6829975339864266, -0.68299753398642649, 0.25889908678270795);

    var spaceCartographic = new Cartographic(CesiumMath.toRadians(-45.0), CesiumMath.toRadians(15.0), 330000.0);
    var spaceCartographicGeodeticSurfaceNormal = new Cartesian3(0.68301270189221941, -0.6830127018922193, 0.25881904510252074);

    var surfaceCartesian = new Cartesian3(4094327.7921465295, 1909216.4044747739, 4487348.4088659193);
    var surfaceCartographic = new Cartographic(CesiumMath.toRadians(25.0), CesiumMath.toRadians(45.0), 0.0);

    it('default constructor creates zero Ellipsoid', function() {
        var ellipsoid = new Ellipsoid();
        expect(ellipsoid.radii).toEqual(Cartesian3.ZERO);
        expect(ellipsoid.radiiSquared).toEqual(Cartesian3.ZERO);
        expect(ellipsoid.radiiToTheFourth).toEqual(Cartesian3.ZERO);
        expect(ellipsoid.oneOverRadii).toEqual(Cartesian3.ZERO);
        expect(ellipsoid.oneOverRadiiSquared).toEqual(Cartesian3.ZERO);
        expect(ellipsoid.minimumRadius).toEqual(0.0);
        expect(ellipsoid.maximumRadius).toEqual(0.0);
    });

    it('fromCartesian3 creates zero Ellipsoid with no parameters', function() {
        var ellipsoid = Ellipsoid.fromCartesian3();
        expect(ellipsoid.radii).toEqual(Cartesian3.ZERO);
        expect(ellipsoid.radiiSquared).toEqual(Cartesian3.ZERO);
        expect(ellipsoid.radiiToTheFourth).toEqual(Cartesian3.ZERO);
        expect(ellipsoid.oneOverRadii).toEqual(Cartesian3.ZERO);
        expect(ellipsoid.oneOverRadiiSquared).toEqual(Cartesian3.ZERO);
        expect(ellipsoid.minimumRadius).toEqual(0.0);
        expect(ellipsoid.maximumRadius).toEqual(0.0);
    });

    it('constructor computes correct values', function() {
        var ellipsoid = new Ellipsoid(radii.x, radii.y, radii.z);
        expect(ellipsoid.radii).toEqual(radii);
        expect(ellipsoid.radiiSquared).toEqual(radiiSquared);
        expect(ellipsoid.radiiToTheFourth).toEqual(radiiToTheFourth);
        expect(ellipsoid.oneOverRadii).toEqual(oneOverRadii);
        expect(ellipsoid.oneOverRadiiSquared).toEqual(oneOverRadiiSquared);
        expect(ellipsoid.minimumRadius).toEqual(minimumRadius);
        expect(ellipsoid.maximumRadius).toEqual(maximumRadius);
    });

    it('fromCartesian3 computes correct values', function() {
        var ellipsoid = Ellipsoid.fromCartesian3(radii);
        expect(ellipsoid.radii).toEqual(radii);
        expect(ellipsoid.radiiSquared).toEqual(radiiSquared);
        expect(ellipsoid.radiiToTheFourth).toEqual(radiiToTheFourth);
        expect(ellipsoid.oneOverRadii).toEqual(oneOverRadii);
        expect(ellipsoid.oneOverRadiiSquared).toEqual(oneOverRadiiSquared);
        expect(ellipsoid.minimumRadius).toEqual(minimumRadius);
        expect(ellipsoid.maximumRadius).toEqual(maximumRadius);
    });

    it('geodeticSurfaceNormalCartographic works without a result parameter', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var returnedResult = ellipsoid.geodeticSurfaceNormalCartographic(spaceCartographic);
        expect(returnedResult).toEqualEpsilon(spaceCartographicGeodeticSurfaceNormal, CesiumMath.EPSILON15);
    });

    it('geodeticSurfaceNormalCartographic works with a result parameter', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var result = new Cartesian3();
        var returnedResult = ellipsoid.geodeticSurfaceNormalCartographic(spaceCartographic, result);
        expect(returnedResult).toBe(result);
        expect(returnedResult).toEqualEpsilon(spaceCartographicGeodeticSurfaceNormal, CesiumMath.EPSILON15);
    });

    it('geodeticSurfaceNormal works without a result parameter', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var returnedResult = ellipsoid.geodeticSurfaceNormal(spaceCartesian);
        expect(returnedResult).toEqualEpsilon(spaceCartesianGeodeticSurfaceNormal, CesiumMath.EPSILON15);
    });

    it('geodeticSurfaceNormal works with a result parameter', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var result = new Cartesian3();
        var returnedResult = ellipsoid.geodeticSurfaceNormal(spaceCartesian, result);
        expect(returnedResult).toBe(result);
        expect(returnedResult).toEqualEpsilon(spaceCartesianGeodeticSurfaceNormal, CesiumMath.EPSILON15);
    });

    it('cartographicToCartesian works without a result parameter', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var returnedResult = ellipsoid.cartographicToCartesian(spaceCartographic);
        expect(returnedResult).toEqualEpsilon(spaceCartesian, CesiumMath.EPSILON7);
    });

    it('cartographicToCartesian works with a result parameter', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var result = new Cartesian3();
        var returnedResult = ellipsoid.cartographicToCartesian(spaceCartographic, result);
        expect(result).toBe(returnedResult);
        expect(returnedResult).toEqualEpsilon(spaceCartesian, CesiumMath.EPSILON7);
    });

    it('cartographicArrayToCartesianArray works without a result parameter', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var returnedResult = ellipsoid.cartographicArrayToCartesianArray([spaceCartographic, surfaceCartographic]);
        expect(returnedResult.length).toEqual(2);
        expect(returnedResult[0]).toEqualEpsilon(spaceCartesian, CesiumMath.EPSILON7);
        expect(returnedResult[1]).toEqualEpsilon(surfaceCartesian, CesiumMath.EPSILON7);
    });

    it('cartographicArrayToCartesianArray works with a result parameter', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var resultCartesian = new Cartesian3();
        var result = [resultCartesian];
        var returnedResult = ellipsoid.cartographicArrayToCartesianArray([spaceCartographic, surfaceCartographic], result);
        expect(result).toBe(returnedResult);
        expect(result[0]).toBe(resultCartesian);
        expect(returnedResult.length).toEqual(2);
        expect(returnedResult[0]).toEqualEpsilon(spaceCartesian, CesiumMath.EPSILON7);
        expect(returnedResult[1]).toEqualEpsilon(surfaceCartesian, CesiumMath.EPSILON7);
    });

    it('cartesianToCartographic works without a result parameter', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var returnedResult = ellipsoid.cartesianToCartographic(surfaceCartesian);
        expect(returnedResult).toEqualEpsilon(surfaceCartographic, CesiumMath.EPSILON8);
    });

    it('cartesianToCartographic works with a result parameter', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var result = new Cartographic();
        var returnedResult = ellipsoid.cartesianToCartographic(surfaceCartesian, result);
        expect(result).toBe(returnedResult);
        expect(returnedResult).toEqualEpsilon(surfaceCartographic, CesiumMath.EPSILON8);
    });

    it('cartesianToCartographic works close to center', function() {
        var expected = new Cartographic(9.999999999999999e-11, 1.0067394967422763e-20, -6378137.0);
        var returnedResult = Ellipsoid.WGS84.cartesianToCartographic(new Cartesian3(1e-50, 1e-60, 1e-70));
        expect(returnedResult).toEqual(expected);
    });

    it('cartesianToCartographic return undefined very close to center', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var returnedResult = ellipsoid.cartesianToCartographic(new Cartesian3(1e-150, 1e-150, 1e-150));
        expect(returnedResult).toBeUndefined();
    });

    it('cartesianToCartographic return undefined at center', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var returnedResult = ellipsoid.cartesianToCartographic(Cartesian3.ZERO);
        expect(returnedResult).toBeUndefined();
    });

    it('cartesianArrayToCartographicArray works without a result parameter', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var returnedResult = ellipsoid.cartesianArrayToCartographicArray([spaceCartesian, surfaceCartesian]);
        expect(returnedResult.length).toEqual(2);
        expect(returnedResult[0]).toEqualEpsilon(spaceCartographic, CesiumMath.EPSILON7);
        expect(returnedResult[1]).toEqualEpsilon(surfaceCartographic, CesiumMath.EPSILON7);
    });

    it('cartesianArrayToCartographicArray works with a result parameter', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var resultCartographic = new Cartographic();
        var result = [resultCartographic];
        var returnedResult = ellipsoid.cartesianArrayToCartographicArray([spaceCartesian, surfaceCartesian], result);
        expect(result).toBe(returnedResult);
        expect(result.length).toEqual(2);
        expect(result[0]).toBe(resultCartographic);
        expect(result[0]).toEqualEpsilon(spaceCartographic, CesiumMath.EPSILON7);
        expect(result[1]).toEqualEpsilon(surfaceCartographic, CesiumMath.EPSILON7);
    });

    it('scaleToGeodeticSurface scaled in the x direction', function() {
        var ellipsoid = new Ellipsoid(1.0, 2.0, 3.0);
        var expected = new Cartesian3(1.0, 0.0, 0.0);
        var cartesian = new Cartesian3(9.0, 0.0, 0.0);
        var returnedResult = ellipsoid.scaleToGeodeticSurface(cartesian);
        expect(returnedResult).toEqual(expected);
    });

    it('scaleToGeodeticSurface scaled in the y direction', function() {
        var ellipsoid = new Ellipsoid(1.0, 2.0, 3.0);
        var expected = new Cartesian3(0.0, 2.0, 0.0);
        var cartesian = new Cartesian3(0.0, 8.0, 0.0);
        var returnedResult = ellipsoid.scaleToGeodeticSurface(cartesian);
        expect(returnedResult).toEqual(expected);
    });

    it('scaleToGeodeticSurface scaled in the z direction', function() {
        var ellipsoid = new Ellipsoid(1.0, 2.0, 3.0);
        var expected = new Cartesian3(0.0, 0.0, 3.0);
        var cartesian = new Cartesian3(0.0, 0.0, 8.0);
        var returnedResult = ellipsoid.scaleToGeodeticSurface(cartesian);
        expect(returnedResult).toEqual(expected);
    });

    it('scaleToGeodeticSurface works without a result parameter', function() {
        var ellipsoid = new Ellipsoid(1.0, 2.0, 3.0);
        var expected = new Cartesian3(0.2680893773941855, 1.1160466902266495, 2.3559801120411263);
        var cartesian = new Cartesian3(4.0, 5.0, 6.0);
        var returnedResult = ellipsoid.scaleToGeodeticSurface(cartesian);
        expect(returnedResult).toEqualEpsilon(expected, CesiumMath.EPSILON16);
    });

    it('scaleToGeodeticSurface works with a result parameter', function() {
        var ellipsoid = new Ellipsoid(1.0, 2.0, 3.0);
        var expected = new Cartesian3(0.2680893773941855, 1.1160466902266495, 2.3559801120411263);
        var cartesian = new Cartesian3(4.0, 5.0, 6.0);
        var result = new Cartesian3();
        var returnedResult = ellipsoid.scaleToGeodeticSurface(cartesian, result);
        expect(returnedResult).toBe(result);
        expect(result).toEqualEpsilon(expected, CesiumMath.EPSILON16);
    });

    it('scaleToGeocentricSurface scaled in the x direction', function() {
        var ellipsoid = new Ellipsoid(1.0, 2.0, 3.0);
        var expected = new Cartesian3(1.0, 0.0, 0.0);
        var cartesian = new Cartesian3(9.0, 0.0, 0.0);
        var returnedResult = ellipsoid.scaleToGeocentricSurface(cartesian);
        expect(returnedResult).toEqual(expected);
    });

    it('scaleToGeocentricSurface scaled in the y direction', function() {
        var ellipsoid = new Ellipsoid(1.0, 2.0, 3.0);
        var expected = new Cartesian3(0.0, 2.0, 0.0);
        var cartesian = new Cartesian3(0.0, 8.0, 0.0);
        var returnedResult = ellipsoid.scaleToGeocentricSurface(cartesian);
        expect(returnedResult).toEqual(expected);
    });

    it('scaleToGeocentricSurface scaled in the z direction', function() {
        var ellipsoid = new Ellipsoid(1.0, 2.0, 3.0);
        var expected = new Cartesian3(0.0, 0.0, 3.0);
        var cartesian = new Cartesian3(0.0, 0.0, 8.0);
        var returnedResult = ellipsoid.scaleToGeocentricSurface(cartesian);
        expect(returnedResult).toEqual(expected);
    });

    it('scaleToGeocentricSurface works without a result parameter', function() {
        var ellipsoid = new Ellipsoid(1.0, 2.0, 3.0);
        var expected = new Cartesian3(0.7807200583588266, 0.9759000729485333, 1.1710800875382399);
        var cartesian = new Cartesian3(4.0, 5.0, 6.0);
        var returnedResult = ellipsoid.scaleToGeocentricSurface(cartesian);
        expect(returnedResult).toEqualEpsilon(expected, CesiumMath.EPSILON16);
    });

    it('scaleToGeocentricSurface works with a result parameter', function() {
        var ellipsoid = new Ellipsoid(1.0, 2.0, 3.0);
        var expected = new Cartesian3(0.7807200583588266, 0.9759000729485333, 1.1710800875382399);
        var cartesian = new Cartesian3(4.0, 5.0, 6.0);
        var result = new Cartesian3();
        var returnedResult = ellipsoid.scaleToGeocentricSurface(cartesian, result);
        expect(returnedResult).toBe(result);
        expect(result).toEqualEpsilon(expected, CesiumMath.EPSILON16);
    });

    it('scaleToGeodeticSurface returns undefined at center', function() {
        var ellipsoid = new Ellipsoid(1.0, 2.0, 3.0);
        var cartesian = new Cartesian3(0.0, 0.0, 0.0);
        var returnedResult = ellipsoid.scaleToGeodeticSurface(cartesian);
        expect(returnedResult).toBeUndefined();
    });

    it('transformPositionToScaledSpace works without a result parameter', function() {
        var ellipsoid = new Ellipsoid(2.0, 3.0, 4.0);
        var expected = new Cartesian3(2.0, 2.0, 2.0);
        var cartesian = new Cartesian3(4.0, 6.0, 8.0);
        var returnedResult = ellipsoid.transformPositionToScaledSpace(cartesian);
        expect(returnedResult).toEqualEpsilon(expected, CesiumMath.EPSILON16);
    });

    it('transformPositionToScaledSpace works with a result parameter', function() {
        var ellipsoid = new Ellipsoid(2.0, 3.0, 4.0);
        var expected = new Cartesian3(3.0, 3.0, 3.0);
        var cartesian = new Cartesian3(6.0, 9.0, 12.0);
        var result = new Cartesian3();
        var returnedResult = ellipsoid.transformPositionToScaledSpace(cartesian, result);
        expect(returnedResult).toBe(result);
        expect(result).toEqualEpsilon(expected, CesiumMath.EPSILON16);
    });

    it('transformPositionFromScaledSpace works without a result parameter', function() {
        var ellipsoid = new Ellipsoid(2.0, 3.0, 4.0);
        var expected = new Cartesian3(4.0, 6.0, 8.0);
        var cartesian = new Cartesian3(2.0, 2.0, 2.0);
        var returnedResult = ellipsoid.transformPositionFromScaledSpace(cartesian);
        expect(returnedResult).toEqualEpsilon(expected, CesiumMath.EPSILON16);
    });

    it('transformPositionFromScaledSpace works with a result parameter', function() {
        var ellipsoid = new Ellipsoid(2.0, 3.0, 4.0);
        var expected = new Cartesian3(6.0, 9.0, 12.0);
        var cartesian = new Cartesian3(3.0, 3.0, 3.0);
        var result = new Cartesian3();
        var returnedResult = ellipsoid.transformPositionFromScaledSpace(cartesian, result);
        expect(returnedResult).toBe(result);
        expect(result).toEqualEpsilon(expected, CesiumMath.EPSILON16);
    });

    it('equals works in all cases', function() {
        var ellipsoid = new Ellipsoid(1.0, 0.0, 0.0);
        expect(ellipsoid.equals(new Ellipsoid(1.0, 0.0, 0.0))).toEqual(true);
        expect(ellipsoid.equals(new Ellipsoid(1.0, 1.0, 0.0))).toEqual(false);
        expect(ellipsoid.equals(undefined)).toEqual(false);
    });

    it('toString produces expected values', function() {
        var expected = '(1, 2, 3)';
        var ellipsoid = new Ellipsoid(1, 2, 3);
        expect(ellipsoid.toString()).toEqual(expected);
    });

    it('constructor throws if x less than 0', function() {
        expect(function() {
            return new Ellipsoid(-1, 0, 0);
        }).toThrowDeveloperError();
    });

    it('constructor throws if y less than 0', function() {
        expect(function() {
            return new Ellipsoid(0, -1, 0);
        }).toThrowDeveloperError();
    });

    it('constructor throws if z less than 0', function() {
        expect(function() {
            return new Ellipsoid(0, 0, -1);
        }).toThrowDeveloperError();
    });

    it('expect Ellipsoid.geocentricSurfaceNormal is be Cartesian3.normalize', function() {
        expect(Ellipsoid.WGS84.geocentricSurfaceNormal).toBe(Cartesian3.normalize);
    });

    it('geodeticSurfaceNormalCartographic throws with no cartographic', function() {
        expect(function() {
            Ellipsoid.WGS84.geodeticSurfaceNormalCartographic(undefined);
        }).toThrowDeveloperError();
    });

    it('geodeticSurfaceNormal throws with no cartesian', function() {
        expect(function() {
            Ellipsoid.WGS84.geodeticSurfaceNormal(undefined);
        }).toThrowDeveloperError();
    });

    it('cartographicToCartesian throws with no cartographic', function() {
        expect(function() {
            Ellipsoid.WGS84.cartographicToCartesian(undefined);
        }).toThrowDeveloperError();
    });

    it('cartographicArrayToCartesianArray throws with no cartographics', function() {
        expect(function() {
            Ellipsoid.WGS84.cartographicArrayToCartesianArray(undefined);
        }).toThrowDeveloperError();
    });

    it('cartesianToCartographic throws with no cartesian', function() {
        expect(function() {
            Ellipsoid.WGS84.cartesianToCartographic(undefined);
        }).toThrowDeveloperError();
    });

    it('cartesianArrayToCartographicArray throws with no cartesians', function() {
        expect(function() {
            Ellipsoid.WGS84.cartesianArrayToCartographicArray(undefined);
        }).toThrowDeveloperError();
    });

    it('scaleToGeodeticSurface throws with no cartesian', function() {
        expect(function() {
            Ellipsoid.WGS84.scaleToGeodeticSurface(undefined);
        }).toThrowDeveloperError();
    });

    it('scaleToGeocentricSurface throws with no cartesian', function() {
        expect(function() {
            Ellipsoid.WGS84.scaleToGeocentricSurface(undefined);
        }).toThrowDeveloperError();
    });

    it('clone copies any object with the proper structure', function() {
        var myEllipsoid = {
                _radii : { x : 1.0, y : 2.0, z : 3.0 },
                _radiiSquared : { x : 4.0, y : 5.0, z : 6.0 },
                _radiiToTheFourth : { x: 7.0, y : 8.0, z : 9.0 },
                _oneOverRadii : { x : 10.0, y : 11.0, z : 12.0 },
                _oneOverRadiiSquared : { x : 13.0, y : 14.0, z : 15.0 },
                _minimumRadius : 16.0,
                _maximumRadius : 17.0,
                _centerToleranceSquared : 18.0
        };

        var cloned = Ellipsoid.clone(myEllipsoid);
        expect(cloned instanceof Ellipsoid).toBe(true);
        expect(cloned).toEqual(myEllipsoid);
    });

    it('clone uses result parameter if provided', function() {
        var myEllipsoid = {
                _radii : { x : 1.0, y : 2.0, z : 3.0 },
                _radiiSquared : { x : 4.0, y : 5.0, z : 6.0 },
                _radiiToTheFourth : { x: 7.0, y : 8.0, z : 9.0 },
                _oneOverRadii : { x : 10.0, y : 11.0, z : 12.0 },
                _oneOverRadiiSquared : { x : 13.0, y : 14.0, z : 15.0 },
                _minimumRadius : 16.0,
                _maximumRadius : 17.0,
                _centerToleranceSquared : 18.0
        };

        var result = new Ellipsoid();
        var cloned = Ellipsoid.clone(myEllipsoid, result);
        expect(cloned).toBe(result);
        expect(cloned).toEqual(myEllipsoid);
    });

    it('getSurfaceNormalIntersectionWithZAxis throws with no position', function() {
        expect(function() {
            Ellipsoid.WGS84.getSurfaceNormalIntersectionWithZAxis(undefined);
        }).toThrowDeveloperError();
    });

    it('getSurfaceNormalIntersectionWithZAxis throws if the ellipsoid is not an ellipsoid of revolution', function() {
        expect(function() {
            var ellipsoid = new Ellipsoid(1,2,3);
            var cartesian = new Cartesian3();
            ellipsoid.getSurfaceNormalIntersectionWithZAxis(cartesian);
        }).toThrowDeveloperError();
    });

    it('getSurfaceNormalIntersectionWithZAxis throws if the ellipsoid has radii.z === 0', function() {
        expect(function() {
            var ellipsoid = new Ellipsoid(1,2,0);
            var cartesian = new Cartesian3();
            ellipsoid.getSurfaceNormalIntersectionWithZAxis(cartesian);
        }).toThrowDeveloperError();
    });

    it('getSurfaceNormalIntersectionWithZAxis works without a result parameter', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var cartographic  = Cartographic.fromDegrees(35.23,33.23);
        var cartesianOnTheSurface = ellipsoid.cartographicToCartesian(cartographic);
        var returnedResult = ellipsoid.getSurfaceNormalIntersectionWithZAxis(cartesianOnTheSurface);
        expect(returnedResult instanceof Cartesian3).toBe(true);
    });

    it('getSurfaceNormalIntersectionWithZAxis works with a result parameter', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var cartographic  = Cartographic.fromDegrees(35.23,33.23);
        var cartesianOnTheSurface = ellipsoid.cartographicToCartesian(cartographic);
        var returnedResult = ellipsoid.getSurfaceNormalIntersectionWithZAxis(cartesianOnTheSurface, undefined , cartesianOnTheSurface);
        expect(returnedResult).toBe(cartesianOnTheSurface);
    });

    it('getSurfaceNormalIntersectionWithZAxis returns undefined if the result is outside the ellipsoid with buffer parameter', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var cartographic  = Cartographic.fromDegrees(35.23,33.23);
        var cartesianOnTheSurface = ellipsoid.cartographicToCartesian(cartographic);
        var returnedResult = ellipsoid.getSurfaceNormalIntersectionWithZAxis(cartesianOnTheSurface, ellipsoid.radii.z);
        expect(returnedResult).toBe(undefined);
    });

    it('getSurfaceNormalIntersectionWithZAxis returns undefined if the result is outside the ellipsoid without buffer parameter', function() {
        var majorAxis = 10;
        var minorAxis = 1;
        var ellipsoid = new Ellipsoid(majorAxis,majorAxis,minorAxis);
        var cartographic  = Cartographic.fromDegrees(45.0,90.0);
        var cartesianOnTheSurface = ellipsoid.cartographicToCartesian(cartographic);
        var returnedResult = ellipsoid.getSurfaceNormalIntersectionWithZAxis(cartesianOnTheSurface, undefined);
        expect(returnedResult).toBe(undefined);
    });

    it('getSurfaceNormalIntersectionWithZAxis returns a result that is equal to a value that computed in a different way', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var cartographic  = Cartographic.fromDegrees(35.23,33.23);
        var cartesianOnTheSurface = ellipsoid.cartographicToCartesian(cartographic);
        var surfaceNormal = ellipsoid.geodeticSurfaceNormal(cartesianOnTheSurface);
        var  magnitude = cartesianOnTheSurface.x  / surfaceNormal.x;

        var expected = new Cartesian3();
        expected.z = cartesianOnTheSurface.z  - surfaceNormal.z * magnitude;
        var result = ellipsoid.getSurfaceNormalIntersectionWithZAxis(cartesianOnTheSurface, undefined);
        expect(result).toEqualEpsilon(expected, CesiumMath.EPSILON8);

        // at the equator
        cartesianOnTheSurface = new Cartesian3(ellipsoid.radii.x, 0 , 0);
        result = ellipsoid.getSurfaceNormalIntersectionWithZAxis(cartesianOnTheSurface, undefined);
        expect(result).toEqualEpsilon(Cartesian3.ZERO, CesiumMath.EPSILON8);

    });

    it('getSurfaceNormalIntersectionWithZAxis returns a result that when it\'s used as an origin for a vector with the surface normal direction it produces an accurate cartographic', function() {
        var ellipsoid = Ellipsoid.WGS84;
        var cartographic  = Cartographic.fromDegrees(35.23,33.23);
        var cartesianOnTheSurface = ellipsoid.cartographicToCartesian(cartographic);
        var surfaceNormal = ellipsoid.geodeticSurfaceNormal(cartesianOnTheSurface);

        var result = ellipsoid.getSurfaceNormalIntersectionWithZAxis(cartesianOnTheSurface, undefined);

        var surfaceNormalWithLength = Cartesian3.multiplyByScalar(surfaceNormal, ellipsoid.maximumRadius, new Cartesian3());
        var position = Cartesian3.add(result,surfaceNormalWithLength,new Cartesian3());
        var resultCartographic = ellipsoid.cartesianToCartographic(position);
        resultCartographic.height = 0.0;
        expect(resultCartographic).toEqualEpsilon(cartographic, CesiumMath.EPSILON8);

        // at the north pole
        cartographic  = Cartographic.fromDegrees(0,90);
        cartesianOnTheSurface = new Cartesian3(0, 0 ,ellipsoid.radii.z);
        surfaceNormal = ellipsoid.geodeticSurfaceNormal(cartesianOnTheSurface);
        surfaceNormalWithLength = Cartesian3.multiplyByScalar(surfaceNormal, ellipsoid.maximumRadius, new Cartesian3());
        result = ellipsoid.getSurfaceNormalIntersectionWithZAxis(cartesianOnTheSurface, undefined);
        position = Cartesian3.add(result,surfaceNormalWithLength,new Cartesian3());
        resultCartographic = ellipsoid.cartesianToCartographic(position);
        resultCartographic.height = 0.0;
        expect(resultCartographic).toEqualEpsilon(cartographic, CesiumMath.EPSILON8);

    });

    it('ellipsoid is initialized with _squaredXOverSquaredZ property', function() {
       var ellipsoid = new Ellipsoid(4 , 4 , 3);

       var squaredXOverSquaredZ = ellipsoid.radiiSquared.x / ellipsoid.radiiSquared.z;
       expect(ellipsoid._squaredXOverSquaredZ).toEqual(squaredXOverSquaredZ);
    });

    createPackableSpecs(Ellipsoid, Ellipsoid.WGS84, [Ellipsoid.WGS84.radii.x, Ellipsoid.WGS84.radii.y, Ellipsoid.WGS84.radii.z]);
});