/// <summary>
/// When changing the properties of the coordinate systen (e.g. reversing x-axis), the axis including ticks and labels will move from one end of the graph to the other.
/// In order to keep the axes at their location, new <see cref="CSLineID"/>s have to be found for the new coordinate system, that correspond to the same axis location
/// in the old coordinate system. This function returns a new <see cref="CSLineID"/>, or null if no corresponding <see cref="CSLineID"/> could be found.
/// </summary>
/// <param name="oldCoordinateSystem">The old coordinate system.</param>
/// <param name="oldLineID">The old line identifier of the axis.</param>
/// <param name="newCoordinateSystem">The new coordinate system.</param>
/// <returns>The new line identifier, that refers to the same location in the new coordinate systems as the old line identifer referes in the old coordinate system. If no such
/// identifer could be found, null is returned.</returns>
public static CSLineID FindCorrespondingCSLineIDWhenChangingCoordinateSystem(G3DCartesicCoordinateSystem oldCoordinateSystem, CSLineID oldLineID, G3DCartesicCoordinateSystem newCoordinateSystem)
{
var oldAxisLineVector = oldCoordinateSystem.GetTransformedAxisLineVector(oldLineID);
for (int i = 0; i < 3; ++i)
{
for (int j = 0; j < 2; ++j)
{
for (int k = 0; k < 2; ++k)
{
var newLineID = new CSLineID(i, j, k);
var newAxisLineVector = newCoordinateSystem.GetTransformedAxisLineVector(newLineID);
if (oldAxisLineVector == newAxisLineVector)
{
return(newLineID);
}
}
}
}
return(null);
}
/// <summary>
/// Finds the corresponding new axis side when changing the coordinate system.
/// </summary>
/// <param name="oldCoordinateSystem">The old coordinate system system.</param>
/// <param name="oldLineID">The old line identifier of the axis.</param>
/// <param name="oldAxisSide">The old axis side.</param>
/// <param name="newCoordinateSystem">The new coordinate system.</param>
/// <param name="newLineID">The new line identifier of the axis (in the new coordinate system).</param>
/// <returns>The new axis side. The new axis side as vector in the new coordinate system has the same direction as the old axis side vector in the old coordinate system.
/// The return value is null if no axis side with the same direction could be found (this is the case for instance when exchanging x and y axis).</returns>
public static CSAxisSide?FindCorrespondingAxisSideWhenChangingCoordinateSystem(G3DCartesicCoordinateSystem oldCoordinateSystem, CSLineID oldLineID, CSAxisSide oldAxisSide, G3DCartesicCoordinateSystem newCoordinateSystem, CSLineID newLineID)
{
var t_oldAxisSide = oldCoordinateSystem.GetTransformedAxisSideVector(oldLineID, oldAxisSide);
var u_newAxisSide = newCoordinateSystem.VectorTransformation.InverseTransform(t_oldAxisSide);
try
{
return(GetAxisSide(newLineID, u_newAxisSide));
}
catch (Exception)
{
return(null);
}
}