/// <summary>
/// Create line with geo coordinates.
/// </summary>
/// <param name="GeoCoordinate1">A geo coordinate.</param>
/// <param name="GeoVector">A geo vector.</param>
public GeoLine(GeoCoordinate GeoCoordinate1, GeoVector GeoVector)
{
#region Initial Checks
if (GeoCoordinate1 == null)
{
throw new ArgumentNullException("The given left-coordinate must not be null!");
}
if (GeoVector == null)
{
throw new ArgumentNullException("The given right-coordinate must not be null!");
}
#endregion
this.P1 = GeoCoordinate1;
this.P2 = new GeoCoordinate(
Latitude.Parse(GeoCoordinate1.Latitude.Value + GeoVector.P.Latitude.Value),
Longitude.Parse(GeoCoordinate1.Longitude.Value + GeoVector.P.Longitude.Value)
);
this.Length = GeoCoordinate1.DistanceTo(P2);
this.Tags = new List <String>();
}
private Double DotProduct(GeoVector v1, GeoVector v2)
{
return
(
v1.P.Longitude.Value * v2.P.Longitude.Value +
v1.P.Latitude.Value * v2.P.Latitude.Value
);
}
/// <summary>
/// Compares two vectors for equality.
/// </summary>
/// <param name="IVector">A vector to compare with.</param>
/// <returns>True if both match; False otherwise.</returns>
public Boolean Equals(GeoVector IVector)
{
if ((Object)IVector == null)
{
return(false);
}
return(this.P.Longitude.Equals(IVector.P.Longitude) &&
this.P.Latitude.Equals(IVector.P.Latitude));
}
//#region Zero
///// <summary>
///// Return the zero value of this datatype.
///// </summary>
//public IVector2D<T> Zero
//{
// get
// {
// return new Vector2D<T>(Math.Zero, Math.Zero);
// }
//}
//#endregion
//#region NegativeInfinity
///// <summary>
///// Return the negative infinity of this datatype.
///// </summary>
//public IVector2D<T> NegativeInfinity
//{
// get
// {
// return new Vector2D<T>(Math.NegativeInfinity, Math.NegativeInfinity);
// }
//}
//#endregion
//#region PositiveInfinity
///// <summary>
///// Return the positive infinity of this datatype.
///// </summary>
//public IVector2D<T> PositiveInfinity
//{
// get
// {
// return new Vector2D<T>(Math.PositiveInfinity, Math.PositiveInfinity);
// }
//}
//#endregion
//#region Min(params Values)
///// <summary>
///// A method to get the minimum of an array of Doubles.
///// </summary>
///// <param name="Values">An array of Doubles.</param>
///// <returns>The minimum of all values: Min(a, b, ...)</returns>
//public IVector2D<T> Min(params IVector2D<T>[] Values)
//{
// if (Values == null || Values.Length == 0)
// throw new ArgumentException("The given values must not be null or zero!");
// if (Values.Length == 1)
// return Values[0];
// var _X = Values[0].X;
// var _Y = Values[0].Y;
// for (var i = Values.Length - 1; i >= 1; i--)
// {
// _X = Math.Min(_X, Values[i].X);
// _Y = Math.Min(_Y, Values[i].Y);
// }
// return new Vector2D<T>(Math.Zero, Math.Zero, _X, _Y);
//}
//#endregion
//#region Max(params Values)
///// <summary>
///// A method to get the maximum of an array of Doubles.
///// </summary>
///// <param name="Values">An array of Doubles.</param>
///// <returns>The maximum of all values: Min(a, b, ...)</returns>
//public IVector2D<T> Max(params IVector2D<T>[] Values)
//{
// if (Values == null || Values.Length == 0)
// throw new ArgumentException("The given values must not be null or zero!");
// if (Values.Length == 1)
// return Values[0];
// var _X = Values[0].X;
// var _Y = Values[0].Y;
// for (var i = Values.Length - 1; i >= 1; i--)
// {
// _X = Math.Max(_X, Values[i].X);
// _Y = Math.Max(_Y, Values[i].Y);
// }
// return new Vector2D<T>(Math.Zero, Math.Zero, _X, _Y);
//}
//#endregion
//#region Add(params Summands)
///// <summary>
///// A method to add vectors.
///// </summary>
///// <param name="Summands">An array of vectors.</param>
///// <returns>The addition of all summands: v1 + v2 + ...</returns>
//public IVector2D<T> Add(params IVector2D<T>[] Summands)
//{
// if (Summands == null || Summands.Length == 0)
// throw new ArgumentException("The given summands must not be null!");
// if (Summands.Length == 1)
// return Summands[0];
// var _X = Summands[0].X;
// var _Y = Summands[0].Y;
// for (var i = Summands.Length - 1; i >= 1; i--)
// {
// _X = Math.Add(_X, Summands[i].X);
// _Y = Math.Add(_Y, Summands[i].Y);
// }
// return new Vector2D<T>(Math.Zero, Math.Zero, _X, _Y);
//}
//#endregion
//#region Sub(v1, v2)
///// <summary>
///// A method to sub two vectors.
///// </summary>
///// <param name="v1">A vector.</param>
///// <param name="v2">A vector.</param>
///// <returns>The subtraction of v2 from v1: v1 - v2</returns>
//public IVector2D<T> Sub(IVector2D<T> v1, IVector2D<T> v2)
//{
// return new Vector2D<T>(Math.Sub(v1.X, v2.X),
// Math.Sub(v1.Y, v2.Y));
//}
//#endregion
//#region Mul(params Multiplicators)
///// <summary>
///// A method to multiply vectors.
///// </summary>
///// <param name="Multiplicators">An array of vectors.</param>
///// <returns>The multiplication of all multiplicators: v1 * v2 * ...</returns>
//public IVector2D<T> Mul(params IVector2D<T>[] Multiplicators)
//{
// if (Multiplicators == null || Multiplicators.Length == 0)
// throw new ArgumentException("The given multiplicators must not be null!");
// if (Multiplicators.Length == 1)
// return Multiplicators[0];
// var _X = Multiplicators[0].X;
// var _Y = Multiplicators[0].Y;
// for (var i = Multiplicators.Length - 1; i >= 1; i--)
// {
// _X = Math.Mul(_X, Multiplicators[i].X);
// _Y = Math.Mul(_Y, Multiplicators[i].Y);
// }
// return new Vector2D<T>(Math.Zero, Math.Zero, _X, _Y);
//}
//#endregion
//#region Mul2(a)
///// <summary>
///// A method to multiply a vector by 2.
///// </summary>
///// <param name="v">A vector.</param>
///// <returns>The multiplication of v by 2: (2*x, 2*y)</returns>
//public IVector2D<T> Mul2(IVector2D<T> v)
//{
// return new Vector2D<T>(Math.Mul2(v.X),
// Math.Mul2(v.Y));
//}
//#endregion
//#region Div(v1, v2)
///// <summary>
///// A method to divide two vectors.
///// </summary>
///// <param name="v1">A vector.</param>
///// <param name="v2">A vector.</param>
///// <returns>The division of v1 by v2: v1 / v2</returns>
//public IVector2D<T> Div(IVector2D<T> v1, IVector2D<T> v2)
//{
// return new Vector2D<T>(Math.Div(v1.X, v2.X),
// Math.Div(v1.Y, v2.Y));
//}
//#endregion
//#region Div2(v)
///// <summary>
///// A method to divide a vector by 2.
///// </summary>
///// <param name="v">A vector.</param>
///// <returns>The division of v by 2: v / 2</returns>
//public IVector2D<T> Div2(IVector2D<T> v)
//{
// return new Vector2D<T>(Math.Div2(v.X),
// Math.Div2(v.Y));
//}
//#endregion
//#region Pow(a, b)
///// <summary>
///// A method to calculate a Double raised to the specified power.
///// </summary>
///// <param name="v1">A vector.</param>
///// <param name="v2">A vector.</param>
///// <returns>The values of v1 raised to the specified power of v2: v1^v2</returns>
//public IVector2D<T> Pow(IVector2D<T> v1, IVector2D<T> v2)
//{
// return new Vector2D<T>(Math.Pow(v1.X, v2.X),
// Math.Pow(v1.Y, v2.Y));
//}
//#endregion
//#region Inv(v)
///// <summary>
///// A method to calculate the inverse value of the given vector.
///// </summary>
///// <param name="v">A vector.</param>
///// <returns>The inverse value of v: -v</returns>
//public IVector2D<T> Inv(IVector2D<T> v)
//{
// return new Vector2D<T>(Math.Inv(v.X),
// Math.Inv(v.Y));
//}
//#endregion
//#region Abs(v)
///// <summary>
///// A method to calculate the absolute value of the given vector.
///// </summary>
///// <param name="v">A vector.</param>
///// <returns>The absolute value of v: (|a| |b|)</returns>
//public IVector2D<T> Abs(IVector2D<T> v)
//{
// return new Vector2D<T>(Math.Abs(v.X),
// Math.Abs(v.Y));
//}
//#endregion
//#region Sqrt(v)
///// <summary>
///// A method to calculate the square root of the vector.
///// </summary>
///// <param name="v">A vector.</param>
///// <returns>The square root of v: Sqrt(v)</returns>
//public IVector2D<T> Sqrt(IVector2D<T> v)
//{
// return new Vector2D<T>(Math.Sqrt(v.X),
// Math.Sqrt(v.Y));
//}
//#endregion
//#region Distance(a, b)
///// <summary>
///// A method to calculate the distance between two vectors.
///// </summary>
///// <param name="v1">A vector.</param>
///// <param name="v2">A vector.</param>
///// <returns>The distance between v1 and v2.</returns>
//public IVector2D<T> Distance(IVector2D<T> v1, IVector2D<T> v2)
//{
// return new Vector2D<T>(Math.Abs(Math.Sub(v1.X, v2.X)),
// Math.Abs(Math.Sub(v1.Y, v2.Y)));
//}
//#endregion
#endregion
#region IsParallelTo(Vector)
/// <summary>
/// Determines if the given vector is parallel or
/// antiparallel to this vector.
/// </summary>
/// <param name="Vector">A vector.</param>
public Boolean IsParallelTo(GeoVector Vector)
{
var ThisNormVector = this.NormVector;
var ThatNormVector = Vector.NormVector;
if ((ThisNormVector.P.Longitude.Value.Equals(ThatNormVector.P.Longitude.Value) &&
ThisNormVector.P.Latitude.Value.Equals(ThatNormVector.P.Latitude.Value)) ||
(ThisNormVector.P.Longitude.Value.Equals(-1 * ThatNormVector.P.Longitude.Value) &&
ThisNormVector.P.Latitude.Value.Equals(-1 * ThatNormVector.P.Latitude.Value)))
{
return(true);
}
return(false);
}
/// <summary>
/// Create a 2-dimensional vector of type T.
/// </summary>
/// <param name="GeoVector1">A vector of type T.</param>
/// <param name="GeoVector2">A vector of type T.</param>
public GeoVector(GeoVector GeoVector1, GeoVector GeoVector2)
{
#region Initial Checks
if (GeoVector1 == null)
throw new ArgumentNullException("The first vector must not be null!");
if (GeoVector2 == null)
throw new ArgumentNullException("The second vector must not be null!");
#endregion
this.P = new GeoCoordinate(new Latitude (GeoVector1.P.Latitude.Value - GeoVector2.P.Latitude.Value),
new Longitude(GeoVector1.P.Longitude.Value - GeoVector2.P.Longitude.Value));
this.Length = GeoVector1.P.DistanceTo(GeoVector2.P);
}
/// <summary>
/// Create line with geo coordinates.
/// </summary>
/// <param name="GeoCoordinate1">A geo coordinate.</param>
/// <param name="GeoVector">A geo vector.</param>
public GeoLine(GeoCoordinate GeoCoordinate1, GeoVector GeoVector)
{
#region Initial Checks
if (GeoCoordinate1 == null)
throw new ArgumentNullException("The given left-coordinate must not be null!");
if (GeoVector == null)
throw new ArgumentNullException("The given right-coordinate must not be null!");
#endregion
this.P1 = GeoCoordinate1;
this.P2 = new GeoCoordinate(new Latitude (GeoCoordinate1.Latitude.Value + GeoVector.P.Latitude.Value),
new Longitude(GeoCoordinate1.Longitude.Value + GeoVector.P.Longitude.Value));
this.Length = GeoCoordinate1.DistanceTo(P2);
this.Tags = new List<String>();
}
public Boolean Contains(GeoCoordinate GeoCoordinate)
{
var v0 = new GeoVector(P3, P1);
var v1 = new GeoVector(P2, P1);
var v2 = new GeoVector(GeoCoordinate, P1);
var dot00 = DotProduct(v0, v0);
var dot01 = DotProduct(v0, v1);
var dot02 = DotProduct(v0, v2);
var dot11 = DotProduct(v1, v1);
var dot12 = DotProduct(v1, v2);
// Compute barycentric coordinates
var invDenom = 1 / (dot00 * dot11 - dot01 * dot01);
var u = (dot11 * dot02 - dot01 * dot12) * invDenom;
var v = (dot00 * dot12 - dot01 * dot02) * invDenom;
// Check if point is in triangle
return((u >= 0) && (v >= 0) && (u + v < 1));
}
/// <summary>
/// Create a 2-dimensional vector of type T.
/// </summary>
/// <param name="GeoVector1">A vector of type T.</param>
/// <param name="GeoVector2">A vector of type T.</param>
public GeoVector(GeoVector GeoVector1, GeoVector GeoVector2)
{
#region Initial Checks
if (GeoVector1 == null)
{
throw new ArgumentNullException("The first vector must not be null!");
}
if (GeoVector2 == null)
{
throw new ArgumentNullException("The second vector must not be null!");
}
#endregion
this.P = new GeoCoordinate(new Latitude(GeoVector1.P.Latitude.Value - GeoVector2.P.Latitude.Value),
new Longitude(GeoVector1.P.Longitude.Value - GeoVector2.P.Longitude.Value));
this.Length = GeoVector1.P.DistanceTo(GeoVector2.P);
}
private Double DotProduct(GeoVector v1, GeoVector v2)
{
return
(
v1.P.Longitude.Value * v2.P.Longitude.Value +
v1.P.Latitude.Value * v2.P.Latitude.Value
);
}
public Boolean Contains(GeoCoordinate GeoCoordinate)
{
var v0 = new GeoVector(P3, P1);
var v1 = new GeoVector(P2, P1);
var v2 = new GeoVector(GeoCoordinate, P1);
var dot00 = DotProduct(v0, v0);
var dot01 = DotProduct(v0, v1);
var dot02 = DotProduct(v0, v2);
var dot11 = DotProduct(v1, v1);
var dot12 = DotProduct(v1, v2);
// Compute barycentric coordinates
var invDenom = 1 / (dot00 * dot11 - dot01 * dot01);
var u = (dot11 * dot02 - dot01 * dot12) * invDenom;
var v = (dot00 * dot12 - dot01 * dot02) * invDenom;
// Check if point is in triangle
return (u >= 0) && (v >= 0) && (u + v < 1);
}
public int CompareTo(GeoVector other)
{
throw new NotImplementedException();
}
/// <summary>
/// Determines if the given vector is parallel or
/// antiparallel to this vector.
/// </summary>
/// <param name="Vector">A vector.</param>
public Boolean IsParallelTo(GeoVector Vector)
{
var ThisNormVector = this.NormVector;
var ThatNormVector = Vector.NormVector;
if ((ThisNormVector.P.Longitude.Value.Equals(ThatNormVector.P.Longitude.Value) &&
ThisNormVector.P.Latitude.Value. Equals(ThatNormVector.P.Latitude.Value)) ||
(ThisNormVector.P.Longitude.Value.Equals(-1*ThatNormVector.P.Longitude.Value) &&
ThisNormVector.P.Latitude.Value. Equals(-1*ThatNormVector.P.Latitude.Value)))
return true;
return false;
}
/// <summary>
/// Compares two vectors for equality.
/// </summary>
/// <param name="IVector">A vector to compare with.</param>
/// <returns>True if both match; False otherwise.</returns>
public Boolean Equals(GeoVector IVector)
{
if ((Object) IVector == null)
return false;
return this.P.Longitude.Equals(IVector.P.Longitude) &&
this.P.Latitude. Equals(IVector.P.Latitude);
}
public int CompareTo(GeoVector other)
{
throw new NotImplementedException();
}