FacePatchClass Module

The constructor for a 2D interpolant takes an array of points and
an array of knots to define a sursurface.


Deletes allocated memory


 ComputeFacePoint: Compute the nodes on a surface
 by interpolating

 ComputePoly2D: Compute the lagrange interpolant through the points 
 p(i, j) at the location (x, y)

 ProjectFaceToNewPoints



 ComputeSurfaceDerivative: Compute the derivative in the two local  
 coordinate directions on a subdomain surface by interpolating
 the surface data



 Compute2DPolyDeriv: Compute the gradient of the 
                     lagrange interpolant through the points 
                     p(i, j) at the location (u, v). The result, grad,
                     is (dX/du,dX/dv) where X = (x,y,z)



For debugging purposes, print the information in the surface
interpolant.


Compute the newton divided difference table.
The node values are destroyed while creating the table.



Compute the newton form interpolant at the point x



Compute the derivative of the newton form interpolant at 
the point x



Compute at x the lagrange polynomial L_k of degree n-1    
whose zeros are given by the z(i)


Compute at x the derivative of the lagrange polynomial L_k of
degree n-1 whose zeros are given by the z(i)