/// <summary>
/// Checks if the given first pixel is within the circle
/// defined by the remaining three edge pixels.
/// </summary>
/// <param name="Pixel">The pixel to be checked.</param>
/// <param name="EdgePixel1">The first edge pixel defining a circle.</param>
/// <param name="EdgePixel2">The second edge pixel defining a circle.</param>
/// <param name="EdgePixel3">The third edge pixel defining a circle.</param>
public static Boolean IsInCircle(GeoCoordinate Pixel, GeoCoordinate EdgePixel1, GeoCoordinate EdgePixel2, GeoCoordinate EdgePixel3)
{
#region Initial Checks
if (Pixel == null)
{
throw new ArgumentNullException("The given first pixel must not be null!");
}
if (EdgePixel1 == null)
{
throw new ArgumentNullException("The given first edgepixel must not be null!");
}
if (EdgePixel2 == null)
{
throw new ArgumentNullException("The given second edgepixel must not be null!");
}
if (EdgePixel3 == null)
{
throw new ArgumentNullException("The given third edgepixel must not be null!");
}
#endregion
#region Math Checks
if (EdgePixel1.Equals(EdgePixel2) ||
EdgePixel1.Equals(EdgePixel3) ||
EdgePixel2.Equals(EdgePixel3))
{
throw new ArgumentException("All distances between the pixels must be larger than zero!");
}
if (EdgePixel1.Longitude.Value.Equals(EdgePixel2.Longitude.Value) &&
EdgePixel2.Longitude.Value.Equals(EdgePixel3.Longitude.Value))
{
throw new ArgumentException("All three pixels must not be on a single line!");
}
if (EdgePixel1.Latitude.Value.Equals(EdgePixel2.Latitude.Value) &&
EdgePixel2.Latitude.Value.Equals(EdgePixel3.Latitude.Value))
{
throw new ArgumentException("All three pixels must not be on a single line!");
}
#endregion
var _Line12 = new GeoLine(EdgePixel1, EdgePixel2);
var _Line23 = new GeoLine(EdgePixel2, EdgePixel3);
var Center = new GeoLine(_Line12.Center, _Line12.Normale).
Intersection(
new GeoLine(_Line23.Center, _Line23.Normale));
return(Center.DistanceTo(Pixel) <= Center.DistanceTo(EdgePixel1));
}
/// <summary>
/// Creates a circumcircle of type T based on three pixels.
/// </summary>
/// <param name="Pixel1">The first pixel of the triangle.</param>
/// <param name="Pixel2">The second pixel of the triangle.</param>
/// <param name="Pixel3">The third pixel of the triangle.</param>
public GeoCircle(GeoCoordinate Pixel1, GeoCoordinate Pixel2, GeoCoordinate Pixel3)
{
#region Initial Checks
if (Pixel1 == null)
{
throw new ArgumentNullException("The given first pixel must not be null!");
}
if (Pixel2 == null)
{
throw new ArgumentNullException("The given second pixel must not be null!");
}
if (Pixel3 == null)
{
throw new ArgumentNullException("The given third pixel must not be null!");
}
#endregion
#region Math Checks
if (Pixel1.Equals(Pixel2) ||
Pixel1.Equals(Pixel3) ||
Pixel2.Equals(Pixel3))
{
throw new ArgumentException("All distances between the pixels must be larger than zero!");
}
//if (Pixel1.Longitude.Value.Equals(Pixel2.Longitude.Value) &&
// Pixel2.Longitude.Value.Equals(Pixel3.Longitude.Value))
// throw new ArgumentException("All three pixels must not be on a single line!");
//if (Pixel1.Latitude.Value.Equals(Pixel2.Latitude.Value) &&
// Pixel2.Latitude.Value.Equals(Pixel3.Latitude.Value))
// throw new ArgumentException("All three pixels must not be on a single line!");
#endregion
var _Line12 = new GeoLine(Pixel1, Pixel2);
var _Line23 = new GeoLine(Pixel2, Pixel3);
this.Center = new GeoLine(_Line12.Center, _Line12.Normale).
Intersection(
new GeoLine(_Line23.Center, _Line23.Normale));
this.Radius = (Center != null) ? Center.DistanceTo(Pixel1) : 0;
}
/// <summary>
/// Create a triangle of type T.
/// </summary>
/// <param name="Pixel1">The first pixel of the triangle.</param>
/// <param name="Pixel2">The second pixel of the triangle.</param>
/// <param name="Pixel3">The third pixel of the triangle.</param>
public GeoTriangle(GeoCoordinate Pixel1, GeoCoordinate Pixel2, GeoCoordinate Pixel3)
{
#region Initial Checks
if (Pixel1 == null)
{
throw new ArgumentNullException("The given first pixel must not be null!");
}
if (Pixel2 == null)
{
throw new ArgumentNullException("The given second pixel must not be null!");
}
if (Pixel3 == null)
{
throw new ArgumentNullException("The given third pixel must not be null!");
}
#endregion
#region Math Checks
if (Pixel1.Equals(Pixel2) ||
Pixel1.Equals(Pixel3) ||
Pixel2.Equals(Pixel3))
{
throw new ArgumentException("All distances between the pixels must be larger than zero!");
}
//if (Pixel1.Longitude.Equals(Pixel2.Longitude) &&
// Pixel2.Longitude.Equals(Pixel3.Longitude))
// throw new ArgumentException("All three pixels must not be on a single line!");
//if (Pixel1.Latitude.Equals(Pixel2.Latitude) &&
// Pixel2.Latitude.Equals(Pixel3.Latitude))
// throw new ArgumentException("All three pixels must not be on a single line!");
#endregion
#region Sort Pixels
// Sort by x-coordinate.
while (true)
{
if (Pixel1.Longitude > Pixel2.Longitude)
{
GeoCoordinate.Swap(ref Pixel1, ref Pixel2);
continue;
}
if (Pixel1.Longitude > Pixel3.Longitude)
{
GeoCoordinate.Swap(ref Pixel1, ref Pixel3);
continue;
}
if (Pixel2.Longitude > Pixel3.Longitude)
{
GeoCoordinate.Swap(ref Pixel2, ref Pixel3);
continue;
}
break;
}
// Sort by y-coordinate if x-coordinates are the same
if (Pixel1.Longitude.Equals(Pixel2.Longitude))
{
if (Pixel1.Latitude > Pixel2.Latitude)
{
GeoCoordinate.Swap(ref Pixel1, ref Pixel2);
}
}
if (Pixel2.Longitude.Equals(Pixel3.Longitude))
{
if (Pixel2.Latitude > Pixel3.Latitude)
{
GeoCoordinate.Swap(ref Pixel1, ref Pixel2);
}
}
#endregion
this.P1 = Pixel1;
this.P2 = Pixel2;
this.P3 = Pixel3;
this.E12 = new GeoLine(P1, P2);
this.E23 = new GeoLine(P2, P3);
this.E31 = new GeoLine(P3, P1);
this._Borders = new GeoLine[3] {
E12, E23, E31
};
this.Tags = new List <String>();
}