function diftab = data_to_dif ( ntab, xtab, ytab )

%*****************************************************************************80
%
%% data_to_dif_display() computes a divided difference table from raw data.
%
%  Licensing:
%
%    This code is distributed under the MIT license.
%
%  Modified:
%
%    05 September 2004
%
%  Author:
%
%    John Burkardt
%
%  Input:
%
%    integer NTAB, the number of pairs of points
%    (XTAB(I),YTAB(I)) which are to be used as data.  The
%    number of entries to be used in DIFTAB, XTAB and YTAB.
%
%    real XTAB(NTAB), the X values at which data was taken.
%
%    real YTAB(NTAB), the corresponding Y values.
%
%  Output:
%
%    real DIFTAB(NTAB), the divided difference
%    coefficients corresponding to the input (XTAB,YTAB).
%
  if ( ~ r8vec_is_distinct ( ntab, xtab ) )
    fprintf ( 1, '\n' );
    fprintf ( 1, 'DATA_TO_DIF_DISPLAY - Fatal error!\n' );
    fprintf ( 1, '  Two entries of XTAB are equal!\n' );
    error ( 'DATA_TO_DIF_DISPLAY - Fatal error!' );
  end
%
%  Copy the data values into DIFTAB.
%
  diftab(1:ntab) = ytab(1:ntab);
%
%  Compute the divided differences.
%
  for i = 2 : ntab
    for j = ntab : -1 : i
      diftab(j) = ( diftab(j) - diftab(j-1) ) / ( xtab(j) - xtab(j+1-i) );
    end
  end

  return
end
