internal DSCoordinateSystem GetCSAtParameters(double u, double v)
{
bool uchange = DSGeometryExtension.ClipParamRange(ref u);
bool vchange = DSGeometryExtension.ClipParamRange(ref v);
// TO DO - throw a warning each time a condition above is satisfied.
//throw new System.ArgumentException(string.Format(Properties.Resources.InvalidInput, "u or v parameter", "Surface.PointAtUVParameters"));
IPointEntity pos = SurfaceEntity.PointAtParameter(u, v);
DSPoint origin = pos.ToPoint(false, null);
DSVector xAxis = new DSVector(SurfaceEntity.TangentAtUParameter(u, v));
DSVector yAxis = new DSVector(SurfaceEntity.TangentAtVParameter(u, v));
DSVector zAxis = xAxis.Cross(yAxis);
return(DSCoordinateSystem.ByOriginVectors(origin, xAxis, yAxis, zAxis, false, true, false));
}
/// <summary>
/// Constructs a CoordinateSystem from an origin point, and two axis
/// vectors as input. The 'sheared' flag is used to determine if the
/// axes stay sheared or orthogonal to each other and 'normalized' flag
/// to normalize axes or not.
/// </summary>
/// <param name="origin">the origin of the CoordinateSystem to be constructed</param>
/// <param name="xAxis">the x-axis of the CoordinateSystem to be constructed</param>
/// <param name="yAxis">the y-axis of the CoordinateSystem to be constructed</param>
/// <param name="isSheared">The 'sheared' flag is used to determine if the
/// axes stay sheared or orthogonal to each other.</param>
/// <param name="isNormalized">'normalized' flag is used to determine if axes
/// should be normalized or not</param>
/// <returns></returns>
public static DSCoordinateSystem ByOriginVectors(DSPoint origin, DSVector xAxis, DSVector yAxis, bool isSheared, bool isNormalized)
{
if (xAxis == null)
throw new System.ArgumentNullException("xAxis");
else if (yAxis == null)
throw new System.ArgumentNullException("yAxis");
else if (xAxis.IsZeroVector())
throw new System.ArgumentException(string.Format(Properties.Resources.IsZeroVector, "x axis"), "xAxis");
else if (yAxis.IsZeroVector())
throw new System.ArgumentException(string.Format(Properties.Resources.IsZeroVector, "y axis"), "yAxis");
var zAxis = xAxis.Cross(yAxis);
return ByOriginVectors(origin, xAxis, yAxis, zAxis, isSheared, isNormalized);
}
internal DSCoordinateSystem GetCSAtParameters(double u, double v)
{
bool uchange = DSGeometryExtension.ClipParamRange(ref u);
bool vchange = DSGeometryExtension.ClipParamRange(ref v);
// TO DO - throw a warning each time a condition above is satisfied.
//throw new System.ArgumentException(string.Format(Properties.Resources.InvalidInput, "u or v parameter", "Surface.PointAtUVParameters"));
IPointEntity pos = SurfaceEntity.PointAtParameter(u, v);
DSPoint origin = pos.ToPoint(false, null);
DSVector xAxis = new DSVector(SurfaceEntity.TangentAtUParameter(u, v));
DSVector yAxis = new DSVector(SurfaceEntity.TangentAtVParameter(u, v));
DSVector zAxis = xAxis.Cross(yAxis);
return DSCoordinateSystem.ByOriginVectors(origin, xAxis, yAxis, zAxis, false, true, false);
}
internal static DSCoordinateSystem ByOriginVectors(DSPoint origin, DSVector xAxis, DSVector yAxis, DSVector zAxis,
bool isSheared, bool isNormalized, bool visible)
{
if (origin == null)
throw new System.ArgumentNullException("origin");
else if (xAxis == null)
throw new System.ArgumentNullException("xAxis");
else if (yAxis == null)
throw new System.ArgumentNullException("yAxis");
else if (zAxis == null)
throw new System.ArgumentNullException("zAxis");
else if (xAxis.IsZeroVector())
throw new System.ArgumentException(string.Format(Properties.Resources.IsZeroVector, "x axis"), "xAxis");
else if (yAxis.IsZeroVector())
throw new System.ArgumentException(string.Format(Properties.Resources.IsZeroVector, "y axis"), "yAxis");
else if (zAxis.IsZeroVector())
throw new System.ArgumentException(string.Format(Properties.Resources.IsZeroVector, "z axis"), "zAxis");
else if (xAxis.IsParallel(yAxis))
throw new System.ArgumentException(string.Format(Properties.Resources.IsParallel, "x axis", "y axis", "DSCoordinateSystem.ByOriginVectors"), "xAxis, yAxis");
else if (!isSheared && (!xAxis.IsPerpendicular(yAxis) || !yAxis.IsPerpendicular(zAxis) || !zAxis.IsPerpendicular(xAxis)))
{
// this is not the case for sheared but axes are not orthogonal
//
zAxis = xAxis.Cross(yAxis);
yAxis = zAxis.Cross(xAxis);
}
if (isNormalized)
{
xAxis = xAxis.Normalize();
yAxis = yAxis.Normalize();
zAxis = zAxis.Normalize();
}
var cs = HostFactory.Factory.CoordinateSystemByData(null); //create identity matrix
if (null == cs)
throw new System.Exception(string.Format(Properties.Resources.OperationFailed, "DSCoordinateSystem.ByOriginVectors"));
cs.Set(origin.PointEntity, xAxis.IVector, yAxis.IVector, zAxis.IVector);
var coordSys = new DSCoordinateSystem(cs, visible);
return coordSys;
}
