// MMath.TanToCos(value, EQuadrantList)
/// <summary>
/// Liefert den Kosinuswert zum Tangenswert und Quadranten.
/// </summary>
/// <param name="value">Tangenswert.</param>
/// <param name="quadrant">Quadrant.</param>
/// <returns>Kosinuswert zum Tangenswert und Quadranten.</returns>
public static double TanToCos(double value, EQuadrant quadrant)
{
double rtn = value / MMath.Sqr(1.0 + value * value);
if (quadrant == EQuadrant.II || quadrant == EQuadrant.III)
{
rtn = -rtn;
}
return(rtn);
}
// MMath.SinToCos(double, EQuadrantList)
/// <summary>
/// Liefert den Kosinuswert zum Sinuswert und Quadranten.
/// </summary>
/// <param name="value">Sinuswert.</param>
/// <param name="quadrant">Quadrant.</param>
/// <returns>Kosinuswert zum Sinuswert und Quadranten.</returns>
public static double SinToCos(double value, EQuadrant quadrant)
{
double rtn = MMath.Sgn(value) * MMath.Sqr(1.0 - value * value);
if (quadrant == EQuadrant.II || quadrant == EQuadrant.IV)
{
rtn = -rtn;
}
return(rtn);
}
// MMath.CosToTan(double, EQuadrantList)
/// <summary>
/// Liefert den Tangenswert zum Kosinuswert und Quadranten.
/// </summary>
/// <param name="value">Kosinuswert.</param>
/// <param name="quadrant">Quadrant.</param>
/// <returns>Tangenswert zum Kosinuswert und Quadranten.</returns>
public static double CosToTan(double value, EQuadrant quadrant)
{
// TODO: MMath.CosToTan(double, Quadrant): value != 0 sicherstellen.
double rtn = MMath.Sqr(1.0 - value * value) / value;
if (quadrant == EQuadrant.III || quadrant == EQuadrant.IV)
{
rtn = -rtn;
}
return(rtn);
}
// MMath.ToLambda(double, double)
/// <summary>
/// Liefert die Längenkomponente des Polars zur X- und Y-Komponente des Vektors.
/// </summary>
/// <param name="x">X-Komponente.</param>
/// <param name="y">Y-Komponente.</param>
/// <returns>Längenkomponente des Polars zur X- und Y-Komponente des Vektors.</returns>
public static double ToLambda(double x, double y)
{
// Ursprung verarbeiten
if (x == 0.0 && y == 0.0)
{
return(0.0);
}
// Winkel berechnen
double phi = 2.0 * MMath.ArcTan(y, MMath.Abs(x) + MMath.Sqr(x * x + y * y));
if (x >= 0.0 && y >= 0.0)
{
return(phi);
}
if (y < 0.0)
{
return(MMath.Pi2 + phi);
}
return(MMath.Pi - phi);
}
// MMath.ToRadius(double, double, double)
/// <summary>
/// Liefert den Radiuskomponente des Polars zur X-, Y- und Z-Komponente des Vektors.
/// </summary>
/// <param name="x">X-Komponente.</param>
/// <param name="y">Y-Komponente.</param>
/// <param name="z">Y-Komponente.</param>
/// <returns>Radiuskomponente des Polars zur X-, Y- und Z-Komponente des Vektors.</returns>
public static double ToRadius(double x, double y, double z)
{
// Rückgabe
return(MMath.Sqr(MMath.Square(x) + MMath.Square(y) + MMath.Square(z)));
}
