Order of barycentric coordinates

[j-fu]

Hi, I am trying to write a linear interpolation function from simplexgrids
to simplexgrids. The main loop is as follows:

   	cf = CellFinder(grid_from)
	for inode_to=1:nnodes_to
	@views icell_from=gFindLocal!(λ, cf, coord[:,inode_to]; icellstart)
		for i=1:dim+1
                       inode_from=cn_from[i,icell_from]
			u_to[inode_to]+=λ[i]*u_from[inode_from]
		end
	   icell_start=icell_from	   	
	end

This does not work. I figured out that I need to permute the λ values.
How is the sequence of barycentric coordinates defined with respect to cellnodes[:,icell] ?
And do we have a link with #1 ?

[chmerdon]

I think it is (for Triangle2D):
λ[1] refers to cellnode[2,icell]
λ[2] refers to cellnode[3,icell]
1-λ[1]-λ[2] refers to cellnode[1,icell]