public void Test(string geoResourceName, string neyResourceName, double projectDelta, double unprojectDelta)
{
var latLonData = GoldData.GetReadyReader(geoResourceName);
var prjData = GoldData.GetReadyReader(neyResourceName);
var projection = new NeysProjection(
new GeographicCoordinate(
Double.Parse(prjData["ORIGIN LATITUDE"]) * Math.PI / 180.0,
Double.Parse(prjData["CENTRAL MERIDIAN"]) * Math.PI / 180.0
),
Double.Parse(prjData["STANDARD PARALLEL ONE"]) * Math.PI / 180.0,
new Vector2(
Double.Parse(prjData["FALSE EASTING"]),
Double.Parse(prjData["FALSE NORTHING"])
),
GoldData.GenerateSpheroid(prjData["DATUM"])
);
var inverse = projection.GetInverse();
while (latLonData.Read() && prjData.Read()) {
var coord = latLonData.CurrentLatLon();
var coordRads = latLonData.CurrentLatLonRadians();
var expected = prjData.CurrentPoint2D();
var projected = projection.TransformValue(coordRads);
Assert.AreEqual(expected.X, projected.X, projectDelta);
Assert.AreEqual(expected.Y, projected.Y, projectDelta);
var unProjected = inverse.TransformValue(expected);
unProjected = new GeographicCoordinate(unProjected.Latitude * 180.0 / Math.PI, unProjected.Longitude * 180.0 / Math.PI);
Assert.AreEqual(coord.Latitude, unProjected.Latitude, unprojectDelta);
Assert.AreEqual(coord.Longitude, unProjected.Longitude, unprojectDelta);
}
}
public KrovakModifiedNorth(
GeographicCoordinate geographicOrigin,
double latitudeOfPseudoStandardParallel,
double azimuthOfInitialLine,
double scaleFactor,
Vector2 falseProjectedOffset,
ISpheroid<double> spheroid,
Point2 evaluationPoint,
double[] constants
)
: this(new KrovakModified(
geographicOrigin,
latitudeOfPseudoStandardParallel,
azimuthOfInitialLine,
scaleFactor,
falseProjectedOffset,
spheroid,
evaluationPoint,
constants
))
{
Contract.Requires(spheroid != null);
Contract.Requires(constants != null);
Contract.Requires(constants.Length == 10);
}
public void epsg3140_to_wgs()
{
var crs = EpsgMicroDatabase.Default.GetCrs(3140);
var wgs = EpsgMicroDatabase.Default.GetCrs(4326);
// source for coordinates is http://epsg.io/3140/map
var ptWgs = new GeographicCoordinate(-17.785, 177.97);
var pt3140 = new Point2(530138.52663372, 821498.68898981); // units in links
var gen = new EpsgCrsCoordinateOperationPathGenerator();
var paths = gen.Generate(wgs, crs);
var compiler = new StaticCoordinateOperationCompiler();
var txs = paths
.Select(p => compiler.Compile(p))
.Where(p => p != null);
var forward = txs.Single();
var actualForward = (Point2)forward.TransformValue(ptWgs);
Assert.AreEqual(pt3140.X, actualForward.X, 30);
Assert.AreEqual(pt3140.Y, actualForward.Y, 30);
var reverse = forward.GetInverse();
var actualReverse = (GeographicCoordinate)reverse.TransformValue(pt3140);
Assert.AreEqual(ptWgs.Longitude, actualReverse.Longitude, 0.01);
Assert.AreEqual(ptWgs.Latitude, actualReverse.Latitude, 0.01);
}
protected LambertConicBase(
GeographicCoordinate geographicOrigin,
Vector2 falseProjectedOffset,
ISpheroid<double> spheroid
)
: base(falseProjectedOffset, spheroid)
{
Contract.Requires(spheroid != null);
GeographicOrigin = geographicOrigin;
}
public void Test(string geoResourceName, string prjResourceName, double projectDelta, double unprojectDelta)
{
var latLonData = GoldData.GetReadyReader(geoResourceName);
var prjData = GoldData.GetReadyReader(prjResourceName);
var spheroid = GoldData.GenerateSpheroid(prjData["DATUM"]);
PolarStereographic projection;
if (null != prjData["SCALE FACTOR"]) {
projection = new PolarStereographic(
new GeographicCoordinate(
Math.PI / 2.0,
Double.Parse(prjData["LONGITUDE DOWN FROM POLE"]) * Math.PI / 180.0
),
Double.Parse(prjData["SCALE FACTOR"]),
new Vector2(
Double.Parse(prjData["FALSE EASTING"]),
Double.Parse(prjData["FALSE NORTHING"])
),
spheroid
);
}
else {
var latSp = Double.Parse(prjData["LATITUDE OF TRUE SCALE"]) * Math.PI / 180.0;
var originLat = latSp < 0 ? -Math.PI / 2.0 : Math.PI / 2.0;
projection = PolarStereographic.CreateFromStandardParallel(
new GeographicCoordinate(
originLat,
Double.Parse(prjData["LONGITUDE DOWN FROM POLE"]) * Math.PI / 180.0
),
latSp,
new Vector2(
Double.Parse(prjData["FALSE EASTING"]),
Double.Parse(prjData["FALSE NORTHING"])
),
spheroid
);
}
var inverse = projection.GetInverse();
while (latLonData.Read() && prjData.Read()) {
var coord = latLonData.CurrentLatLon();
var coordRads = latLonData.CurrentLatLonRadians();
var expected = prjData.CurrentPoint2D();
var projected = projection.TransformValue(coordRads);
Assert.AreEqual(expected.X, projected.X, projectDelta);
Assert.AreEqual(expected.Y, projected.Y, projectDelta);
var unProjected = inverse.TransformValue(expected);
unProjected = new GeographicCoordinate(unProjected.Latitude * 180.0 / Math.PI, unProjected.Longitude * 180.0 / Math.PI);
Assert.AreEqual(coord.Latitude, unProjected.Latitude, unprojectDelta);
Assert.AreEqual(coord.Longitude, unProjected.Longitude, unprojectDelta);
}
}
public void epsg_example_1_3_14()
{
var projection = new EquidistantCylindrical(GeographicCoordinate.Zero, Vector2.Zero, new SpheroidEquatorialInvF(6378137, 298.257223563));
var input = new GeographicCoordinate(0.959931086, 0.174532925);
var expected = new Point2(1113194.91, 6097230.31);
var result = projection.TransformValue(input);
Assert.AreEqual(expected.X, result.X, 0.004);
Assert.AreEqual(expected.Y, result.Y, 0.02);
}
private Point2 TransformValueNorth(GeographicCoordinate source)
{
var theta = source.Longitude - GeographicOrigin.Longitude;
var eSinLat = Math.Sin(source.Latitude) * E;
var r = Math.Tan(QuarterPi - (source.Latitude / 2.0))
* Math.Pow((1 + eSinLat) / (1 - eSinLat), EHalf)
* CoefficientT;
var de = r * Math.Sin(theta);
var dn = r * Math.Cos(theta);
return(new Point2(de + FalseProjectedOffset.X, FalseProjectedOffset.Y - dn));
}
public override Point2 TransformValue(GeographicCoordinate coordinate)
{
var eSinLat = Math.Sin(coordinate.Latitude) * E;
return(new Point2(
((coordinate.Longitude - CentralMeridian) * Ak) + FalseProjectedOffset.X,
(Math.Log(
Math.Tan((coordinate.Latitude / 2.0) + QuarterPi)
* Math.Pow((1.0 - eSinLat) / (1.0 + eSinLat), EHalf)
) * Ak) + FalseProjectedOffset.Y
));
}
public void Vincenty_CorrectlyCalculatesDestinationCoordinates(double latA, double lonA, double bearingInRadians, double distanceInMeters,
double expectedLat, double expectedLon, int maxIterations, double tolerance)
{
IGeographicCoordinate pointA = new GeographicCoordinate(latA, lonA);
IGeographicCoordinate expected = new GeographicCoordinate(expectedLat, expectedLon);
IGeographicCoordinate result = pointA.DestinationCoordinates(new Angle(bearingInRadians, AngleMeasurement.Radians), new Distance(distanceInMeters, DistanceMeasurement.Meters),
maxIterations, tolerance);
Assert.Equal(expected, result);
}
public EquidistantCylindrical(GeographicCoordinate origin, Vector2 falseProjectedOffset, ISpheroid <double> spheroid)
: base(falseProjectedOffset, spheroid)
{
Contract.Requires(spheroid != null);
_origin = origin;
var e4 = ESq * ESq;
var e6 = e4 * ESq;
var e8 = e6 * ESq;
var e10 = e8 * ESq;
var e12 = e10 * ESq;
var e14 = e12 * ESq;
_coefLine1 = 1.0 - (ESq / 4.0)
- (3.0 / 64.0 * e4)
- (5.0 / 256.0 * e6)
- (175.0 / 16384.0 * e8)
- (441.0 / 65536.0 * e10)
- (4851.0 / 1048576.0 * e12)
- (14157.0 / 4194304.0 * e14);
_coefLine2 = (-3.0 / 8.0 * ESq)
- (3.0 / 32.0 * e4)
- (45.0 / 1024.0 * e6)
- (105.0 / 4096.0 * e8)
- (2205.0 / 131072.0 * e10)
- (6237.0 / 524288.0 * e12)
- (297297.0 / 33554432.0 * e14);
_coefLine3 = (15.0 / 256.0 * e4)
+ (45.0 / 1024.0 * e6)
+ (525.0 / 16384.0 * e8)
+ (1575.0 / 65536.0 * e10)
+ (155925.0 / 8388608.0 * e12)
+ (495495.0 / 33554432.0 * e14);
_coefLine4 = (-35.0 / 3072.0 * e6)
- (175.0 / 12288.0 * e8)
- (3675.0 / 262144.0 * e10)
- (13475.0 / 1048576.0 * e12)
- (385385.0 / 33554432.0 * e14);
_coefLine5 = (315.0 / 131072.0 * e8)
+ (2205.0 / 524288.0 * e10)
+ (43659.0 / 8388608.0 * e12)
+ (189189.0 / 33554432.0 * e14);
_coefLine6 = (-693.0 / 1310720.0 * e10)
- (6237.0 / 5242880.0 * e12)
- (297297.0 / 167772160.0 * e14);
_coefLine7 = (1001.0 / 8388608.0 * e12)
+ (11011.0 / 33554432.0 * e14);
_coefLine8 = (-6435.0 / 234881024.0 * e14);
var sinLatOrigin = Math.Sin(_origin.Latitude);
var v = MajorAxis / Math.Sqrt(1.0 - (ESq * sinLatOrigin * sinLatOrigin));
_vCosLatOrigin = v * Math.Cos(_origin.Latitude);
}
public void epsg_example_1_3_14()
{
var projection = new EquidistantCylindrical(GeographicCoordinate.Zero, Vector2.Zero, new SpheroidEquatorialInvF(6378137, 298.257223563));
var input = new GeographicCoordinate(0.959931086, 0.174532925);
var expected = new Point2(1113194.91, 6097230.31);
var result = projection.TransformValue(input);
Assert.AreEqual(expected.X, result.X, 0.004);
Assert.AreEqual(expected.Y, result.Y, 0.02);
}
public void Test(string geoResourceName, string mercResourceName, double projectDelta, double unprojectDelta)
{
var latLonData = GoldData.GetReadyReader(geoResourceName);
var lccData = GoldData.GetReadyReader(mercResourceName);
var latTrueScale = lccData["LATITUDE OF TRUE SCALE"];
Mercator projection;
if (null == latTrueScale)
{
projection = new Mercator(
Double.Parse(lccData["CENTRAL MERIDIAN"]) / 180 * Math.PI,
Double.Parse(lccData["SCALE FACTOR"]),
new Vector2(
Double.Parse(lccData["FALSE EASTING"]),
Double.Parse(lccData["FALSE NORTHING"])
),
GoldData.GenerateSpheroid(lccData["DATUM"])
);
}
else
{
projection = new Mercator(
new GeographicCoordinate(
Double.Parse(latTrueScale) / 180 * Math.PI,
Double.Parse(lccData["CENTRAL MERIDIAN"]) / 180 * Math.PI
),
new Vector2(
Double.Parse(lccData["FALSE EASTING"]),
Double.Parse(lccData["FALSE NORTHING"])
),
GoldData.GenerateSpheroid(lccData["DATUM"])
);
}
var inverse = projection.GetInverse();
while (latLonData.Read() && lccData.Read())
{
var coord = latLonData.CurrentLatLon();
var coordRads = latLonData.CurrentLatLonRadians();
var expected = lccData.CurrentPoint2D();
var projected = projection.TransformValue(coordRads);
Assert.AreEqual(expected.X, projected.X, projectDelta);
Assert.AreEqual(expected.Y, projected.Y, projectDelta);
var unProjected = inverse.TransformValue(expected);
unProjected = new GeographicCoordinate(unProjected.Latitude * 180.0 / Math.PI, unProjected.Longitude * 180.0 / Math.PI);
Assert.AreEqual(coord.Latitude, unProjected.Latitude, unprojectDelta);
Assert.AreEqual(coord.Longitude, unProjected.Longitude, unprojectDelta);
}
}
public override Point2 TransformValue(GeographicCoordinate source)
{
var m = CalculateM(source.Latitude);
var sinLat = Math.Sin(source.Latitude);
var mScalar = Math.Cos(source.Latitude) / Math.Sqrt(ESq * sinLat * sinLat);
var p = (MajorAxis * MScalarOrigin / SinLatOrigin) + MOrigin + m;
var t = MajorAxis * mScalar * (source.Longitude - GeographicOrigin.Longitude) / p;
return(new Point2(
(p * Math.Sin(t)) + FalseProjectedOffset.X,
((MajorAxis * MScalarOrigin / SinLatOrigin) - (p * Math.Cos(t))) + FalseProjectedOffset.Y
));
}
public void Vincenty_CorrectlyCalculatesBearingFromPointBearingDistance(double latA, double lonA, double bearingInRadians, double distanceInMeters,
double expectedBearing, int maxIterations, double tolerance)
{
IGeographicCoordinate pointA = new GeographicCoordinate(latA, lonA);
IAngle initialBearing = new Angle(bearingInRadians, AngleMeasurement.Radians);
IDistance distance = new Distance(distanceInMeters, DistanceMeasurement.Meters);
IAngle expected = new Angle(expectedBearing, AngleMeasurement.Radians);
IAngle result = pointA.BearingFrom(initialBearing, distance, maxIterations, tolerance);
Assert.Equal(expected, result);
}
public override Point2 TransformValue(GeographicCoordinate source)
{
throw new NotImplementedException("I have no idea what is going on.");
var sinLat = Math.Sin(source.Latitude);
var q = (1 - ESq) * (
(sinLat / (1 - (ESq * sinLat * sinLat)))
- ((1.0 / (2.0 * E)) * Math.Log((1 - (E * sinLat)) / (1 + (E * sinLat))))
);
return(new Point2(
MajorAxis * Scale * (source.Longitude - GeographicOrigin.Longitude),
MajorAxis * q / (2.0 * Scale)));
}
/// <summary>
/// Constructs a Mercator projection from 2 standard parallels.
/// </summary>
/// <param name="geographicOrigin">The geographic origin.</param>
/// <param name="falseProjectedOffset">The false projected offset.</param>
/// <param name="spheroid">The spheroid.</param>
public Mercator(
GeographicCoordinate geographicOrigin,
Vector2 falseProjectedOffset,
ISpheroid <double> spheroid
) : this(
geographicOrigin.Longitude,
CalculateScaleFactor(geographicOrigin.Latitude, spheroid.ESquared),
falseProjectedOffset,
spheroid
)
{
Contract.Requires(spheroid != null);
}
public override Point2 TransformValue(GeographicCoordinate source)
{
var sinLat = Math.Sin(source.Latitude);
var x = MajorAxis * (source.Longitude - GeographicOrigin.Longitude) * Math.Cos(source.Latitude)
/ Math.Sqrt(1 - (ESq * sinLat * sinLat));
var m = CalculateM(source.Latitude);
var y = m - MOrigin + (x * x * Math.Tan(source.Latitude) * Math.Sqrt(1 - (ESq * sinLat * sinLat)) / (2.0 * MajorAxis));
return(new Point2(
FalseProjectedOffset.X + x,
FalseProjectedOffset.Y + y
));
}
public PolarStereographic(GeographicCoordinate geographicOrigin, double scaleFactor, Vector2 falseProjectedOffset, ISpheroid <double> spheroid)
: base(falseProjectedOffset, spheroid)
{
Contract.Requires(spheroid != null);
ScaleFactor = scaleFactor;
GeographicOrigin = geographicOrigin;
CrazyEValue = CalculateCrazyEValue(E);
CoefficientT = MajorAxis * 2.0 * ScaleFactor / CrazyEValue;
_transform = IsNorth(geographicOrigin.Latitude)
? (Func <GeographicCoordinate, Point2>)TransformValueNorth
: TransformValueSouth;
}
public TransverseMercatorSouth(
GeographicCoordinate naturalOrigin,
Vector2 falseProjectedOffset,
double scaleFactor,
ISpheroid <double> spheroid
) : base(
naturalOrigin,
new Vector2(-falseProjectedOffset.X, -falseProjectedOffset.Y),
scaleFactor,
spheroid
)
{
Contract.Requires(spheroid != null);
}
public LambertCylindricalEqualAreaSpherical(GeographicCoordinate origin, Vector2 offset, ISpheroid <double> spheroid)
: base(offset, spheroid)
{
Contract.Requires(spheroid != null);
// ReSharper disable CompareOfFloatsByEqualityOperator
GeographicOrigin = origin;
CosLatOrigin = Math.Cos(GeographicOrigin.Latitude);
R = MajorAxis;
if (E != 0)
{
R *= Math.Sqrt((1 - (((1.0 - ESq) / (2.0 * E)) * Math.Log((1 - E) / (1 + E)))) / 2.0);
}
// ReSharper restore CompareOfFloatsByEqualityOperator
}
public void EpsgExample134InverseTest()
{
var projection = new CassiniSoldner(
new GeographicCoordinate(0.182241463, -1.070468608),
new Vector2(430000.00, 325000.00),
new SpheroidEquatorialInvF(31706587.88, 294.2606764)
);
var result = projection.GetInverse().TransformValue(new Point2(66644.94, 82536.22));
var expected = new GeographicCoordinate(0.17453293, -1.08210414);
Assert.AreEqual(expected.Latitude, result.Latitude, 0.00000004);
Assert.AreEqual(expected.Longitude, result.Longitude, 0.000000004);
}
public void Initalize(int id, int res, float scale, bool shaded, GameObject planetObj)
{
m_id = id;
m_res = res;
m_res2 = m_res * m_res;
m_scale = scale;
m_geo = new GeographicCoordinate[8];
for (int i = 0; i < m_geo.Length; i++)
{
m_geo[i] = new GeographicCoordinate();
}
m_cullVector = transform.localPosition.normalized;
m_planet = new PlanetInfo()
{
obj = planetObj,
planetComp = planetObj.GetComponent <Planet>()
};
m_neighbourChunks = new PlanetChunk[27];
m_meshFilter = GetComponent <MeshFilter>();
m_meshCollider = GetComponent <MeshCollider>();
m_mcRender = new MarchingCubes
{
m_MCRenderShader = m_MCRenderShader,
m_clearVerticesShader = m_ClearVerticesShader,
m_calculateNormalsShader = m_CalculateNormalsShader,
m_meshMaterial = m_meshMaterial,
m_recalculateNormals = !shaded,
m_chunkTransform = transform
};
m_mcRender.InitalizeRenderMesh(m_res, m_res, m_res, m_scale);
m_mcCollider = new MarchingCubes
{
m_MCColliderShader = m_MCColliderShader,
m_clearVerticesShader = m_ClearVerticesShader,
};
m_mcCollider.InitalizeColliderCompute(m_res, m_res, m_res, scale);
m_borderMaps.borderMapx = new float[2 * m_res2];
m_borderMaps.borderMapy = new float[2 * m_res2];
m_borderMaps.borderMapz = new float[2 * m_res2];
m_borderMaps.borderMapxy = new float[3 * m_res];
m_borderMaps.borderMapyz = new float[3 * m_res];
m_borderMaps.borderMapxz = new float[3 * m_res];
m_borderMaps.borderMapxyz = new float[4];
}
public void EpsgExample134InverseTest()
{
var projection = new CassiniSoldner(
new GeographicCoordinate(0.182241463, -1.070468608),
new Vector2(430000.00, 325000.00),
new SpheroidEquatorialInvF(31706587.88, 294.2606764)
);
var result = projection.GetInverse().TransformValue(new Point2(66644.94, 82536.22));
var expected = new GeographicCoordinate(0.17453293, -1.08210414);
Assert.AreEqual(expected.Latitude, result.Latitude, 0.00000004);
Assert.AreEqual(expected.Longitude, result.Longitude, 0.000000004);
}
public LambertConicConformal1SpWest(
GeographicCoordinate geographicOrigin,
double originScaleFactor,
Vector2 falseProjectedOffset,
ISpheroid <double> spheroid
) : base(
geographicOrigin,
originScaleFactor,
new Vector2(-falseProjectedOffset.X, falseProjectedOffset.Y),
spheroid
)
{
Contract.Requires(spheroid != null);
}
private static IEnumerable <List <GeographicCoordinate> > ReadPagesToGeographicCoordinate(IEnumerator <Dictionary <int, Shape> > pages)
{
while (pages.MoveNext())
{
var page = pages.Current;
var points = new List <GeographicCoordinate>(page.Count);
foreach (var shape in page.Values)
{
var p = new GeographicCoordinate(shape.Vertices[1], shape.Vertices[0]);
points.Add(p);
}
yield return(points);
}
}
public override Point2 TransformValue(GeographicCoordinate source)
{
var lonDiff = source.Longitude - (
GeogCoordinatesAreRelativeToGreenwich
? GreenwichCenterLongitude
: ParisCenterLongitude);
var sinLat = Math.Sin(source.Latitude);
var eSinLat = E * sinLat;
var halfLat = source.Latitude / 2.0;
var betaLonDiff = Beta * lonDiff;
var q = C + (
Beta
* Math.Log(
Math.Tan(QuarterPi + halfLat)
* Math.Pow((1 - eSinLat) / (1 + eSinLat), EHalf)
)
);
var p = (Math.Atan(Math.Pow(Math.E, q)) * 2.0) - HalfPi;
var cosP = Math.Cos(p);
var sinP = Math.Sin(p);
var cosL = Math.Cos(betaLonDiff);
var sinL = Math.Sin(betaLonDiff);
var u = (cosP * cosL * Math.Cos(SLatitude)) + (sinP * Math.Sin(SLatitude));
var v = (cosP * cosL * Math.Sin(SLatitude)) - (sinP * Math.Cos(SLatitude));
var w = cosP * sinL;
var d = Math.Sqrt((u * u) + (v * v));
double lPrime, pPrime;
if (0 == d)
{
lPrime = 0;
pPrime = w < 0 ? -HalfPi : HalfPi;
}
else
{
lPrime = Math.Atan(v / (u + d)) * 2.0;
pPrime = Math.Atan(w / d);
}
var h = -lPrime;
var hi = Math.Log(Math.Tan(QuarterPi + (pPrime / 2.0)));
var g = (1 - Math.Cos(2.0 * Azimuth)) / 12.0;
var gi = Math.Sin(2.0 * Azimuth) / 12.0;
var x = FalseProjectedOffset.X + (R * (hi + (gi * hi * hi * hi)));
var y = FalseProjectedOffset.Y + (R * (h + (g * h * h * h)));
return(new Point2(x, y));
}
public override Point2 TransformValue(GeographicCoordinate source)
{
double deltaLon = source.Longitude - GeographicOrigin.Longitude;
double cosLat = Math.Cos(source.Latitude);
double cosDeltaLonCosLat = Math.Cos(deltaLon) * cosLat;
double sinLat = Math.Sin(source.Latitude);
double rk = R * Math.Sqrt(
2.0 /
(1.0 + (_sinLatOrg * sinLat) + (_cosLatOrg * cosDeltaLonCosLat))
);
double x = rk * cosLat * Math.Sin(deltaLon);
double y = rk * ((_cosLatOrg * sinLat) - (_sinLatOrg * cosDeltaLonCosLat));
return(new Point2(x, y));
}
public void EpsgExample_1_3_3_C_Test()
{
var projection = Mercator.ConstructVariantC(
new GeographicCoordinate(0.73303829, 0.89011792),
new Vector2(0, 0),
new SpheroidEquatorialInvF(6378245, 298.3));
var input = new GeographicCoordinate(0.9250245, 0.9250245);
var expected = new Point2(165704.29, 1351950.22);
var result = projection.TransformValue(input);
Assert.AreEqual(expected.X, result.X, 0.04);
Assert.AreEqual(expected.Y, result.Y, 0.06);
}
public void EpsgExample_1_3_3_2_Test()
{
var projection = new PopularVisualizationPseudoMercator(
new GeographicCoordinate(0, 0),
new Vector2(0, 0),
new SpheroidEquatorialPolar(6378137, 298.2572236)
);
var input = new GeographicCoordinate(0.425542460, -1.751147016);
var expected = new Point2(-11169055.58, 2800000.00);
var result = projection.TransformValue(input);
Assert.AreEqual(expected.X, result.X, 0.005);
Assert.AreEqual(expected.Y, result.Y, 0.006);
}
public void EpsgExample_1_3_3_B_InverseTest()
{
var projection = new Mercator(
new GeographicCoordinate(0.73303829, 0.89011792),
new Vector2(0, 0),
new SpheroidEquatorialInvF(6378245, 298.3)
);
var expected = new GeographicCoordinate(0.9250245, 0.9250245);
var input = new Point2(165704.29, 5171848.07);
var result = projection.GetInverse().TransformValue(input);
Assert.AreEqual(expected.Latitude, result.Latitude, 0.000000006);
Assert.AreEqual(expected.Longitude, result.Longitude, 0.000000005);
}
public void EpsgExample221WithoutHeightTest()
{
var transform = new GeographicGeocentricTransformation(new SpheroidEquatorialInvF(6378137.000, 298.2572236));
var inputValue = new GeographicCoordinate(0.939151102, 0.037167659); // the actual point is 73 from the surface
var expectedVector = new Vector3(3771793.968, 140253.342, 5124304.349);
var expectedNormal = expectedVector.GetNormalized();
var result = transform.TransformValue(new GeographicCoordinate(inputValue.Latitude, inputValue.Longitude));
var resultVector = new Vector3(result); // so we can check that the normal is at least the same, as we remove height information
var resultNormal = resultVector.GetNormalized();
Assert.AreEqual(expectedNormal.X, resultNormal.X, 0.00000003);
Assert.AreEqual(expectedNormal.Y, resultNormal.Y, 0.000000002);
Assert.AreEqual(expectedNormal.Z, resultNormal.Z, 0.00000003);
Assert.AreEqual(resultVector.GetMagnitude(), expectedVector.GetMagnitude() - 73.0, 0.0005); // it should be about 73 units from the expected height above the surface
}
public void EpsgExample1312()
{
var projection = new LambertConicConformal1Sp(
new GeographicCoordinate(0.31415927, -1.34390352),
1,
new Vector2(250000, 150000),
new SpheroidEquatorialInvF(6378206.400, 294.97870));
var input = new GeographicCoordinate(0.31297535, -1.34292061);
var expected = new Point2(255966.58, 142493.51);
var result = projection.TransformValue(input);
Assert.AreEqual(expected.X, result.X, 0.006);
Assert.AreEqual(expected.Y, result.Y, 0.04);
}
public void EpsgExample_1_3_3_B_Test()
{
var projection = new Mercator(
new GeographicCoordinate(0.73303829, 0.89011792),
new Vector2(0, 0),
new SpheroidEquatorialInvF(6378245, 298.3)
);
var input = new GeographicCoordinate(0.9250245, 0.9250245);
var expected = new Point2(165704.29, 5171848.07);
var result = projection.TransformValue(input);
Assert.AreEqual(expected.X, result.X, 0.03);
Assert.AreEqual(expected.Y, result.Y, 0.05);
}
public void EpsgExample1312()
{
var projection = new LambertConicConformal1Sp(
new GeographicCoordinate(0.31415927, -1.34390352),
1,
new Vector2(250000, 150000),
new SpheroidEquatorialInvF(6378206.400, 294.97870));
var input = new GeographicCoordinate(0.31297535, -1.34292061);
var expected = new Point2(255966.58, 142493.51);
var result = projection.TransformValue(input);
Assert.AreEqual(expected.X, result.X, 0.006);
Assert.AreEqual(expected.Y, result.Y, 0.04);
}
public void EpsgExample_1_3_3_2_InverseTest()
{
var projection = new PopularVisualizationPseudoMercator(
new GeographicCoordinate(0, 0),
new Vector2(0, 0),
new SpheroidEquatorialPolar(6378137, 298.2572236)
);
var expected = new GeographicCoordinate(0.425542460, -1.751147016);
var input = new Point2(-11169055.58, 2800000.00);
var result = projection.GetInverse().TransformValue(input);
Assert.AreEqual(expected.Latitude, result.Latitude, 0.0000000008);
Assert.AreEqual(expected.Longitude, result.Longitude, 0.0000000008);
}
public override Point2 TransformValue(GeographicCoordinate source)
{
// common
var lonDelta = source.Longitude - LongitudeOrigin;
var eSinLat = E * Math.Sin(source.Latitude);
var theta = Math.Tan(QuarterPi - (source.Latitude / 2.0))
/ Math.Pow((1 - eSinLat) / (1 + eSinLat), EHalf);
var q = H / Math.Pow(theta, B); // Q
var invQ = 1 / q;
var sFactor = (q - invQ) / 2.0; // S
var tFactor = (q + invQ) / 2.0; // T
var vFactor = Math.Sin(B * lonDelta); // V
var uFactor = ((-vFactor * Math.Cos(GammaOrigin)) + (sFactor * Math.Sin(GammaOrigin))) / tFactor; // U
var vScalar = A * Math.Log((1 - uFactor) / (1 + uFactor)) / (2.0 * B); // v
// variant B
double uScalar;
if (HasHighAzimuth)
{
if (lonDelta == 0)
{
uScalar = 0;
}
else
{
uScalar = A * Math.Atan(((sFactor * Math.Cos(GammaOrigin)) + (vFactor * Math.Sin(GammaOrigin))) / Math.Cos(B * lonDelta)) / B;
var signLatNeg = GeographicCenter.Latitude < 0;
var signLonNeg = lonDelta < 0;
var negUc = signLatNeg ^ signLonNeg;
var absUc = Math.Abs(Uc);
uScalar = negUc ? uScalar + absUc : uScalar - absUc;
}
}
else
{
uScalar = A * Math.Atan(((sFactor * Math.Cos(GammaOrigin)) + (vFactor * Math.Sin(GammaOrigin))) / Math.Cos(B * lonDelta)) / B;
var negUc = GeographicCenter.Latitude < 0;
var absUc = Math.Abs(Uc);
uScalar = negUc ? uScalar + absUc : uScalar - absUc;
}
// common
var x = (vScalar * Math.Cos(AngleFromRectified)) + (uScalar * Math.Sin(AngleFromRectified)) + FalseProjectedOffset.X;
var y = (uScalar * Math.Cos(AngleFromRectified)) - (vScalar * Math.Sin(AngleFromRectified)) + FalseProjectedOffset.Y;
return(new Point2(x, y));
}
public void Test(string geoResourceName, string mercResourceName, double projectDelta, double unprojectDelta)
{
var latLonData = GoldData.GetReadyReader(geoResourceName);
var lccData = GoldData.GetReadyReader(mercResourceName);
var latTrueScale = lccData["LATITUDE OF TRUE SCALE"];
Mercator projection;
if (null == latTrueScale) {
projection = new Mercator(
Double.Parse(lccData["CENTRAL MERIDIAN"]) / 180 * Math.PI,
Double.Parse(lccData["SCALE FACTOR"]),
new Vector2(
Double.Parse(lccData["FALSE EASTING"]),
Double.Parse(lccData["FALSE NORTHING"])
),
GoldData.GenerateSpheroid(lccData["DATUM"])
);
}
else {
projection = new Mercator(
new GeographicCoordinate(
Double.Parse(latTrueScale) / 180 * Math.PI,
Double.Parse(lccData["CENTRAL MERIDIAN"]) / 180 * Math.PI
),
new Vector2(
Double.Parse(lccData["FALSE EASTING"]),
Double.Parse(lccData["FALSE NORTHING"])
),
GoldData.GenerateSpheroid(lccData["DATUM"])
);
}
var inverse = projection.GetInverse();
while (latLonData.Read() && lccData.Read()) {
var coord = latLonData.CurrentLatLon();
var coordRads = latLonData.CurrentLatLonRadians();
var expected = lccData.CurrentPoint2D();
var projected = projection.TransformValue(coordRads);
Assert.AreEqual(expected.X, projected.X, projectDelta);
Assert.AreEqual(expected.Y, projected.Y, projectDelta);
var unProjected = inverse.TransformValue(expected);
unProjected = new GeographicCoordinate(unProjected.Latitude * 180.0 / Math.PI, unProjected.Longitude * 180.0 / Math.PI);
Assert.AreEqual(coord.Latitude, unProjected.Latitude, unprojectDelta);
Assert.AreEqual(coord.Longitude, unProjected.Longitude, unprojectDelta);
}
}
public void EpsgExample1311Test()
{
var proj = new LambertConicConformal2Sp(
new GeographicCoordinate(0.48578331, -1.72787596),
0.49538262,
0.52854388,
new Vector2(2000000.0, 0),
new SpheroidEquatorialInvF(20925832.16, 294.97870)
);
var a = new GeographicCoordinate(0.49741884, -1.67551608);
var b = new Point2(2963503.91, 254759.80);
var projected = proj.TransformValue(a);
Assert.AreEqual(b.X, projected.X, 0.05);
Assert.AreEqual(b.Y, projected.Y, 0.04);
}
public void Epsg_1_3_1_5_Inverse_Test()
{
var projection = new LambertConicNearConformal(
new GeographicCoordinate(0.604756586, 0.651880476),
0.99962560,
new Vector2(300000.00, 300000.00),
new SpheroidEquatorialInvF(6378249.2, 293.46602)
);
var expected = new GeographicCoordinate(0.654874806, 0.595793792);
var input = new Point2(15707.96, 623165.96);
var result = projection.GetInverse().TransformValue(input);
Assert.AreEqual(expected.Latitude, result.Latitude, 0.0000000002);
Assert.AreEqual(expected.Longitude, result.Longitude, 0.00000000008);
}
public LambertAzimuthalEqualAreaOblique(
GeographicCoordinate geogOrigin,
Vector2 falseOffset,
ISpheroid <double> spheroid
) : base(geogOrigin, falseOffset, spheroid)
{
QOrigin = OneMinusESq * ((SinLatOrigin / (1.0 - (ESq * SinLatOrigin * SinLatOrigin))) - (OneOverTwoE * Math.Log((1.0 - ESinLatOrigin) / (1.0 + ESinLatOrigin))));
QRadiusParallel = MajorAxis * Math.Sqrt(QParallel / 2.0);
BetaOrigin = Math.Asin(QOrigin / QParallel);
SinBetaOrigin = Math.Sin(BetaOrigin);
CosBetaOrigin = Math.Cos(BetaOrigin);
D = MajorAxis
* (CosLatOrigin / Math.Sqrt(1.0 - (ESq * SinLatOrigin * SinLatOrigin)))
/ (QRadiusParallel * CosBetaOrigin);
;
}
public void EpsgExample_1_3_3_A_Test()
{
var projection = new Mercator(
1.91986218,
0.997,
new Vector2(3900000, 900000),
new SpheroidEquatorialInvF(6377397.155, 299.15281)
);
var input = new GeographicCoordinate(-0.05235988, 2.09439510);
var expected = new Point2(5009726.58, 569150.82);
var result = projection.TransformValue(input);
Assert.AreEqual(expected.X, result.X, 0.03);
Assert.AreEqual(expected.Y, result.Y, 0.02);
}
public override Point2 TransformValue(GeographicCoordinate source)
{
var deltaLon = source.Longitude - GeographicOrigin.Longitude;
var cosDeltaLon = Math.Cos(deltaLon);
var sinDeltaLon = Math.Sin(deltaLon);
var sinLat = Math.Sin(source.Latitude);
var q = OneMinusESq * ((sinLat / (1.0 - (ESq * sinLat * sinLat))) - (OneOverTwoE * Math.Log((1.0 - (E * sinLat)) / (1.0 + (E * sinLat)))));
var beta = Math.Asin(q / QParallel);
var cosBeta = Math.Cos(beta);
var sinBeta = Math.Sin(beta);
var b = QRadiusParallel * Math.Sqrt(2.0 / (1.0 + (SinBetaOrigin * sinBeta) + (CosBetaOrigin * cosBeta * cosDeltaLon)));
var east = FalseProjectedOffset.X + ((b * D) * (cosBeta * sinDeltaLon));
var north = FalseProjectedOffset.Y + ((b / D) * ((CosBetaOrigin * sinBeta) - (SinBetaOrigin * cosBeta * cosDeltaLon)));
return(new Point2(east, north));
}
public void EpsgExample_1_3_5_3_Test()
{
var projection = new TransverseMercatorSouth(
new GeographicCoordinate(0, 0.506145483),
new Vector2(0, 0),
1,
new SpheroidEquatorialInvF(6378137, 298.25722356)
);
var expected = new Point2(2847342.74, 71984.49);
var input = new GeographicCoordinate(-0.449108618, 0.493625066);
var result = projection.TransformValue(input);
Assert.AreEqual(expected.X, result.X, 0.003);
Assert.AreEqual(expected.Y, result.Y, 0.002);
}
public void EpsgExample_1_3_7_1_Inverse()
{
var projection = new ObliqueStereographic(
new GeographicCoordinate(0.910296727, 0.094032038),
0.9999079,
new Vector2(155000.00, 463000.00),
new SpheroidEquatorialInvF(6377397.155, 299.15281)
);
var expected = new GeographicCoordinate(0.925024504, 0.104719755);
var input = new Point2(196105.283, 557057.739);
var result = projection.GetInverse().TransformValue(input);
Assert.AreEqual(expected.Latitude, result.Latitude, 0.000000001);
Assert.AreEqual(expected.Longitude, result.Longitude, 0.0000000007);
}
protected LambertAzimuthalEqualArea(
GeographicCoordinate geogOrigin,
Vector2 falseOffset,
ISpheroid <double> spheroid
) : base(falseOffset, spheroid)
{
GeographicOrigin = geogOrigin;
OneMinusESq = 1.0 - ESq;
OneMinusE = 1.0 - E;
OnePlusE = 1.0 + E;
OneOverTwoE = 1.0 / (2.0 * E);
SinLatOrigin = Math.Sin(GeographicOrigin.Latitude);
CosLatOrigin = Math.Cos(GeographicOrigin.Latitude);
ESinLatOrigin = E * SinLatOrigin;
QParallel = OneMinusESq * ((1.0 / OneMinusESq) - (OneOverTwoE * Math.Log(OneMinusE / OnePlusE)));
}
public void EpsgExample221WithoutHeightTest()
{
var transform = new GeographicGeocentricTransformation(new SpheroidEquatorialInvF(6378137.000, 298.2572236));
var inputValue = new GeographicCoordinate(0.939151102, 0.037167659); // the actual point is 73 from the surface
var expectedVector = new Vector3(3771793.968, 140253.342, 5124304.349);
var expectedNormal = expectedVector.GetNormalized();
var result = transform.TransformValue(new GeographicCoordinate(inputValue.Latitude, inputValue.Longitude));
var resultVector = new Vector3(result); // so we can check that the normal is at least the same, as we remove height information
var resultNormal = resultVector.GetNormalized();
Assert.AreEqual(expectedNormal.X, resultNormal.X, 0.00000003);
Assert.AreEqual(expectedNormal.Y, resultNormal.Y, 0.000000002);
Assert.AreEqual(expectedNormal.Z, resultNormal.Z, 0.00000003);
Assert.AreEqual(resultVector.GetMagnitude(), expectedVector.GetMagnitude() - 73.0, 0.0005); // it should be about 73 units from the expected height above the surface
}
public void EpsgExample_1_3_7_2_A_Inverse()
{
var projection = new PolarStereographic(
new GeographicCoordinate(1.570796327, 0),
0.994,
new Vector2(2000000.00, 2000000.00),
new SpheroidEquatorialInvF(6378137, 298.2572236)
);
var expected = new GeographicCoordinate(1.274090354, 0.767944871);
var input = new Point2(3320416.75, 632668.43);
var result = projection.GetInverse().TransformValue(input);
Assert.AreEqual(expected.Latitude, result.Latitude, 0.0000000005);
Assert.AreEqual(expected.Longitude, result.Longitude, 0.000000001);
}
public void Epsg_1_3_1_5_Test()
{
var projection = new LambertConicNearConformal(
new GeographicCoordinate(0.604756586, 0.651880476),
0.99962560,
new Vector2(300000.00, 300000.00),
new SpheroidEquatorialInvF(6378249.2, 293.46602)
);
var input = new GeographicCoordinate(0.654874806, 0.595793792);
var expected = new Point2(15707.96, 623165.96);
var result = projection.TransformValue(input);
Assert.AreEqual(expected.X, result.X, 0.0004);
Assert.AreEqual(expected.Y, result.Y, 0.02);
}
public void EpsgExample1351Test()
{
var projection = new TransverseMercator(
new GeographicCoordinate(0.85521133, -0.03490659),
new Vector2(400000.00, -100000.00),
0.9996012717,
new SpheroidEquatorialInvF(6377563.396, 299.32496)
);
var input = new GeographicCoordinate(0.88139127, 0.00872665);
var expected = new Point2(577274.99, 69740.50);
var result = projection.TransformValue(input);
Assert.AreEqual(expected.X, result.X, 0.03);
Assert.AreEqual(expected.Y, result.Y, 0.002);
}
public NeysProjection(
GeographicCoordinate geographicOrigin,
double standardParallel,
Vector2 falseProjectedOffset,
ISpheroid<double> spheroid
)
: base(new GeographicCoordinate(
geographicOrigin.Latitude,
geographicOrigin.Longitude > Math.PI ? (geographicOrigin.Longitude - TwoPi) : geographicOrigin.Longitude
),
geographicOrigin.Latitude >= 0 ? standardParallel : -standardParallel,
geographicOrigin.Latitude >= 0 ? MaximumLatitude : -MaximumLatitude,
falseProjectedOffset,
spheroid)
{
Contract.Requires(spheroid != null);
}
public void gigs_sample_rev()
{
var degToRad = Math.PI / 180.0;
var projection = new AmericanPolyconic(
new GeographicCoordinate(0, -54.0 * degToRad),
new Vector2(5000000, 10000000),
new SpheroidEquatorialInvF(6378.137 * 1000, 298.2572221)
);
var expected = new GeographicCoordinate(-6 * degToRad, -45 * degToRad);
var input = new Point2(5996378.71, 9328349.94);
var result = projection.GetInverse().TransformValue(input);
Assert.AreEqual(expected.Latitude, result.Latitude, 0.0006);
Assert.AreEqual(expected.Longitude, result.Longitude, 0.00001);
}
public void EpsgExample1311InverseTest()
{
var proj = new LambertConicConformal2Sp(
new GeographicCoordinate(0.48578331, -1.72787596),
0.49538262,
0.52854388,
new Vector2(2000000.0, 0),
new SpheroidEquatorialInvF(20925832.16, 294.97870)
);
var a = new GeographicCoordinate(0.49741884, -1.67551608);
var b = new Point2(2963503.91, 254759.80);
var unProjected = proj.GetInverse().TransformValue(b);
Assert.AreEqual(a.Latitude, unProjected.Latitude, 0.000000002);
Assert.AreEqual(a.Longitude, unProjected.Longitude, 0.000000003);
}
public void Epsg_1_3_6_1_Test()
{
var projection = new HotineObliqueMercator.VariantB(
new GeographicCoordinate(0.069813170, 2.007128640),
0.930536611,
0.927295218,
0.99984,
new Vector2(590476.87, 442857.65),
new SpheroidEquatorialInvF(6377298.556, 300.8017)
);
var input = new GeographicCoordinate(0.094025313, 2.021187362);
var expected = new Point2(679245.73, 596562.78);
var result = projection.TransformValue(input);
Assert.AreEqual(expected.X, result.X, 0.003);
Assert.AreEqual(expected.Y, result.Y, 0.001);
}
public void EpsgExample1312Inverse()
{
var projection = new LambertConicConformal1Sp(
new GeographicCoordinate(0.31415927, -1.34390352),
1,
new Vector2(250000, 150000),
new SpheroidEquatorialInvF(6378206.400, 294.97870));
Assert.That(projection.HasInverse);
var inverse = projection.GetInverse();
var expected = new GeographicCoordinate(0.31297535, -1.34292061);
var input = new Point2(255966.58, 142493.51);
var result = inverse.TransformValue(input);
Assert.AreEqual(expected.Latitude, result.Latitude, 0.00000001);
Assert.AreEqual(expected.Longitude, result.Longitude, 0.00000001);
}
public void Espg_1_3_2_1_InverseTest()
{
var projection = new Krovak(
new GeographicCoordinate(0.863937979, 0.741764932),
1.370083463,
0.528627762,
0.9999,
Vector2.Zero,
new SpheroidEquatorialInvF(6377397.155, 299.15281)
);
var expected = new GeographicCoordinate(0.876312568, 0.294084);
var input = new Point2(1050538.63, 568991.00);
var result = projection.GetInverse().TransformValue(input);
Assert.AreEqual(expected.Latitude, result.Latitude, 0.0000000008);
Assert.AreEqual(expected.Longitude, result.Longitude, 0.000001);
}
public void Espg_1_3_2_2_Test()
{
var projection = new KrovakNorth(
new GeographicCoordinate(0.863937979, 0.741764932),
1.370083463,
0.528627762,
0.9999,
Vector2.Zero,
new SpheroidEquatorialInvF(6377397.155, 299.15281)
);
var input = new GeographicCoordinate(0.876312568, 0.294084);
var expected = new Point2(-568991.00, -1050538.63);
var result = projection.TransformValue(input);
Assert.AreEqual(expected.X, result.X, 0.1);
Assert.AreEqual(expected.Y, result.Y, 0.1);
}
public KrovakNorth(
GeographicCoordinate geographicOrigin,
double latitudeOfPseudoStandardParallel,
double azimuthOfInitialLine,
double scaleFactor,
Vector2 falseProjectedOffset,
ISpheroid<double> spheroid
)
: this(new Krovak(
geographicOrigin,
latitudeOfPseudoStandardParallel,
azimuthOfInitialLine,
scaleFactor,
falseProjectedOffset,
spheroid
))
{
Contract.Requires(spheroid != null);
}
public void map_proj_working_manual_lambert_az_eq_area_spherical_example()
{
var projection = new LambertAzimuthalEqualAreaSpherical(
new GeographicCoordinate(0, 0),
new Vector2(0, 0),
new Sphere(1));
Assert.That(projection.HasInverse);
var inverse = projection.GetInverse();
var projectedExpected = new Point2(0.61040, 0.54826);
var geographicExpected = new GeographicCoordinate(30 * Math.PI / 180.0, 40 * Math.PI / 180.0);
var projectedActual = projection.TransformValue(geographicExpected);
Assert.AreEqual(projectedExpected.X, projectedActual.X, 0.00001);
Assert.AreEqual(projectedExpected.Y, projectedActual.Y, 0.000003);
var geographicActual = inverse.TransformValue(projectedExpected);
Assert.AreEqual(geographicExpected.Latitude, geographicActual.Latitude, 0.00001);
Assert.AreEqual(geographicExpected.Longitude, geographicActual.Longitude, 0.000004);
}
public void Epsg_1_3_6_1_Inverse_Test()
{
var projectionForward = new HotineObliqueMercator.VariantB(
new GeographicCoordinate(0.069813170, 2.007128640),
0.930536611,
0.927295218,
0.99984,
new Vector2(590476.87, 442857.65),
new SpheroidEquatorialInvF(6377298.556, 300.8017)
);
Assert.That(projectionForward.HasInverse);
var inverse = projectionForward.GetInverse();
var expected = new GeographicCoordinate(0.094025313, 2.021187362);
var input = new Point2(679245.73, 596562.78);
var result = inverse.TransformValue(input);
Assert.AreEqual(expected.Latitude, result.Latitude, 0.00001);
Assert.AreEqual(expected.Longitude, result.Longitude, 0.0000000005);
}
public void epsg_example_1_3_11()
{
var projection = new LambertAzimuthalEqualAreaOblique(
new GeographicCoordinate(0.907571211, 0.174532925),
new Vector2(4321000, 3210000),
new SpheroidEquatorialInvF(6378137, 298.2572221));
var projectedExpected = new Point2(3962799.45, 2999718.85);
var geographicExpected = new GeographicCoordinate(0.872664626, 0.087266463);
var projectedActual = projection.TransformValue(geographicExpected);
Assert.AreEqual(projectedExpected.X, projectedActual.X, 0.004);
Assert.AreEqual(projectedExpected.Y, projectedActual.Y, 0.004);
var inverse = projection.GetInverse();
Assert.IsNotNull(inverse);
var geographicActual = inverse.TransformValue(projectedExpected);
Assert.AreEqual(geographicExpected.Latitude, geographicActual.Latitude, 0.000001);
Assert.AreEqual(geographicExpected.Longitude, geographicActual.Longitude, 0.00000003);
}