File: ndgrid.sci

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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) Bruno Pincon
//
// This file must be used under the terms of the CeCILL.
// This source file is licensed as described in the file COPYING, which
// you should have received as part of this distribution.  The terms
// are also available at
// http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt

function [varargout] = ndgrid(varargin)
   //
   //  CALLING SEQUENCES
   //       [X, Y] = ndgrid(x, y)
   //    or [X, Y, Z] = ndgrid(x, y, z)   
   //    or [X, Y, Z, T] = ndgrid(x, y, z, t)
   //    etc ...
   //
   //  PURPOSE
   //     An utility similar to the Matlab 's one. For instance
   //     in the 3d case : 
   //
   //     [X, Y, Z] = ndgrid(x, y, z) 
   //
   //     with x, y, z three vectors of length nx, ny, nz, we have
   //     X, Y, Z which are hypermatrices of format nx x ny x nz
   //     and, forall  i in [1,nx], j in [1, ny], k in [1, nz]
   //         X(i,j,k) = x(i)
   //         Y(i,j,k) = y(j)  
   //         Z(i,j,k) = z(k)
   //
   //     X, Y, Z are the coordinates of the grid points formed by
   //     the cartesian product of the one dimensionnal grids
   //     x, y and z.
   //
   //  AUTHOR
   //     Bruno Pincon <Bruno.Pincon@iecn.u-nancy.fr>
   //
   nbdim = length(varargin)
   if nbdim < 2 then
      error(msprintf(gettext("%s: Wrong number of input arguments: At least %d expected.\n"),"ndgrid",2));
   end
   dim = zeros(1,nbdim)
   for k = 1:nbdim
      if type(varargin(k)) ~= 1 then  
	      error(msprintf(gettext("%s: Wrong type for argument #%d: Real expected.\n"),"ndgrid",k));
      end
      dim(k) = length(varargin(k))
      varargin(k) = matrix(varargin(k),1,dim(k)) // force row form
   end
   
   varargout = list()
   for k = 1:nbdim
      varargout(k) = matrix(     ones(1,prod(dim(k+1:$))) ...
                             .*. varargin(k)              ...
                             .*. ones(1,prod(dim(1:k-1))) , dim )
   end
endfunction