## Copyright (C) 1996, 1997 John W. Eaton
##
## This file is part of Octave.
##
## Octave is free software; you can redistribute it and/or modify it
## under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 2, or (at your option)
## any later version.
##
## Octave is distributed in the hope that it will be useful, but
## WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
## General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with Octave; see the file COPYING. If not, write to the Free
## Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
## 02110-1301, USA.
## -*- texinfo -*-
## @deftypefn {Function File} {} mahalanobis (@var{x}, @var{y})
## Return the Mahalanobis' D-square distance between the multivariate
## samples @var{x} and @var{y}, which must have the same number of
## components (columns), but may have a different number of observations
## (rows).
## @end deftypefn
## Author: Friedrich Leisch
## Created: July 1993
## Adapted-By: jwe
function retval = mahalanobis (X, Y)
if (nargin != 2)
print_usage ();
endif
[xr, xc] = size (X);
[yr, yc] = size (Y);
if (xc != yc)
error ("mahalanobis: X and Y must have the same number of columns");
endif
Xm = sum (X) / xr;
Ym = sum (Y) / yr;
X = X - ones (xr, 1) * Xm;
Y = Y - ones (yr, 1) * Ym;
W = (X' * X + Y' * Y) / (xr + yr - 2)
Winv = inv (W);
retval = (Xm - Ym) * Winv * (Xm - Ym)';
endfunction