/// <summary>
/// Converts to spherical coordinates.
/// </summary>
/// <returns>SphericalCoordinate.</returns>
public static SphericalCoordinate ToSpherical(CartesianCoordinate3D coordinate)
{
double radialDistance = AlgebraLibrary.SRSS(coordinate.X, coordinate.Y.Squared(), coordinate.Z.Squared());
double angleAzimuth = NMath.Atan(coordinate.Y / coordinate.X);
double angleInclination = NMath.Acos(coordinate.Z / radialDistance);
return(new SphericalCoordinate(radialDistance, angleInclination, angleAzimuth, coordinate.Tolerance));
}
/// <summary>
/// Initializes the class with a vector structure.
/// </summary>
/// <param name="xMagnitude">The x magnitude.</param>
/// <param name="yMagnitude">The y magnitude.</param>
/// <param name="zMagnitude">The z magnitude.</param>
/// <param name="tolerance">The tolerance.</param>
public Vector3D(
double xMagnitude,
double yMagnitude,
double zMagnitude,
double tolerance = Numbers.ZeroTolerance)
{
_location = new CartesianCoordinate3D();
Xcomponent = xMagnitude;
Ycomponent = yMagnitude;
Zcomponent = zMagnitude;
Tolerance = tolerance;
}
/// <summary>
/// Converts to cylindrical coordinates.
/// </summary>
/// <returns>CylindricalCoordinate.</returns>
public static CylindricalCoordinate ToCylindrical(CartesianCoordinate3D coordinate)
{
double radialDistance = AlgebraLibrary.SRSS(coordinate.X, coordinate.Y);
double height = coordinate.Z;
double angleAzimuth = 0;
if (coordinate.X.IsZeroSign() && coordinate.Y.IsZeroSign())
{
angleAzimuth = 0;
}
else if (coordinate.X.IsGreaterThanOrEqualTo(0) && !coordinate.Y.IsZeroSign())
{
angleAzimuth = NMath.Asin(coordinate.Y / radialDistance);
}
else if (coordinate.X.IsNegativeSign())
{
angleAzimuth = -NMath.Asin(coordinate.Y / radialDistance) + Numbers.Pi;
}
return(new CylindricalCoordinate(radialDistance, height, angleAzimuth, coordinate.Tolerance));
}
/// <summary> /// Determines whether the coordinate lies within the extents. /// </summary> /// <param name="coordinate">The coordinate.</param> /// <returns><c>true</c> if the specified coordinates are within the extents; otherwise, <c>false</c>.</returns> public abstract bool IsWithinExtents(CartesianCoordinate3D coordinate);
