public static Point2D Triangulation(ISatellite s1, double r1, ISatellite s2, double r2, ISatellite s3, double r3)
{
if (r1 == 0 || r2 == 0 || r3 == 0)
{
Console.WriteLine("*** Error: Las distancias son incorrectas");
return(null);
}
double x1, x2 = 0, y1 = 0, y2;
try
{
// (X)
// /b\
// r1 / | \ r2
// / h \
// a /_ r12 _\ g
// (s1) (s2)
double r12 = s1.DistanceTo(s2);
double h = 2 * Heron(r1, r12, r2) / r12;
double alphaRadians = Math.Sin(h / r1);
double ah = (r1 * Math.Cos(alphaRadians));
Point2D p1 = (Point2D)s1.GetCoords();
Point2D p2 = (Point2D)s2.GetCoords();
Point2D p3 = p1 + ((ah / r12) * (p2 - p1));
x1 = p3.X + (h * (p2.Y - p1.Y) / r12);
x2 = p3.X - (h * (p2.Y - p1.Y) / r12);
y1 = p3.Y + (h * (p2.X - p1.X) / r12);
y2 = p3.Y + (h * (p2.X - p1.X) / r12);
// TODO: Select combination with minimun error automatically
Console.ForegroundColor = ConsoleColor.Cyan;
Console.BackgroundColor = ConsoleColor.DarkGray;
Console.WriteLine("\tShowing the error in the different solutions of:");
Console.WriteLine($"\tX={p1} ± ({ah:0.###}/{r12:0.###})({p2}-{p1})");
Console.WriteLine($"\ts1. Difference distance informed to kenobi vs distance approximated (x1,y1): {Math.Abs(DistanceFromTo(p1, new Point2D(x1, y1)) - r1)}");
Console.WriteLine($"\ts1. Difference distance informed to kenobi vs distance approximated (x1,y2): {Math.Abs(DistanceFromTo(p1, new Point2D(x1, y2)) - r1)}");
Console.WriteLine($"\ts1. Difference distance informed to kenobi vs distance approximated (x2,y1): {Math.Abs(DistanceFromTo(p1, new Point2D(x2, y1)) - r1)}");
Console.WriteLine($"\ts1. Difference distance informed to kenobi vs distance approximated (x2,y2): {Math.Abs(DistanceFromTo(p1, new Point2D(x2, y2)) - r1)}");
Console.WriteLine($"\ts2. Difference distance informed to skywalker vs distance approximated (x1,y1): {Math.Abs(DistanceFromTo(p2, new Point2D(x1, y1)) - r2)}");
Console.WriteLine($"\ts2. Difference distance informed to skywalker vs distance approximated (x1,y2): {Math.Abs(DistanceFromTo(p2, new Point2D(x1, y2)) - r2)}");
Console.WriteLine($"\ts2. Difference distance informed to skywalker vs distance approximated (x2,y1): {Math.Abs(DistanceFromTo(p2, new Point2D(x2, y1)) - r2)}");
Console.WriteLine($"\ts2. Difference distance informed to skywalker vs distance approximated (x2,y2): {Math.Abs(DistanceFromTo(p2, new Point2D(x2, y2)) - r2)}");
Console.WriteLine($"\ts3. Difference distance informed to sato vs distance approximated (x1,y1): {Math.Abs(DistanceFromTo((Point2D)s3.GetCoords(), new Point2D(x1, y1)) - r3)}");
Console.WriteLine($"\ts3. Difference distance informed to sato vs distance approximated (x1,y2): {Math.Abs(DistanceFromTo((Point2D)s3.GetCoords(), new Point2D(x1, y2)) - r3)}");
Console.WriteLine($"\ts3. Difference distance informed to sato vs distance approximated (x2,y1): {Math.Abs(DistanceFromTo((Point2D)s3.GetCoords(), new Point2D(x2, y1)) - r3)}");
Console.WriteLine($"\ts3. Difference distance informed to sato vs distance approximated (x2,y2): {Math.Abs(DistanceFromTo((Point2D)s3.GetCoords(), new Point2D(x2, y2)) - r3)}");
Console.WriteLine("\tThe minimum error is in the 3th and 4th combination, and the right combination is the 3th.");
Console.ResetColor();
}
catch (ArithmeticException e)
{
Console.WriteLine(e.Message);
}
return(new Point2D()
{
X = x2,
Y = y1
});
}