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+## Copyright (C) 2000  Kai Habel
+##
+## 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} {@var{z} =} cumtrapz (@var{y})
+## @deftypefnx {Function File} {@var{z} =} cumtrapz (@var{x}, @var{y})
+## @deftypefnx {Function File} {@var{z} =} cumtrapz (@dots{}, @var{dim})
+## 
+## Cumulative numerical intergration using trapezodial method.
+## @code{trapz (@var{y})} computes the cummulative integral of the 
+## @var{y} along the first non singleton dimension. If the argument 
+## @var{x} is omitted a equally spaced vector is assumed. @code{trapz 
+## (@var{x}, @var{y})} evaluates the cummulative integral with respect 
+## to @var{x}.
+##  
+## @seealso{trapz,cumsum}
+## @end deftypefn
+
+## Author:	Kai Habel <kai.habel@gmx.de>
+##
+## also: June 2000 Paul Kienzle (fixes,suggestions) 
+## 2006-05-12 David Bateman - Modified for NDArrays
+
+function z = cumtrapz (x, y, dim)	
+
+  if (nargin < 1) || (nargin > 3)
+    usage ("cumtrapz (x, y, dim)");
+  endif
+
+  nd = ndims (x);
+  sz = size (x);
+
+  have_x = false;
+  have_dim = false;
+  if (nargin == 3)
+    have_x = true;
+    have_dim = true;
+  endif
+  if (nargin == 2)
+    if (size (x) != size (y) && isscalar (y))
+      dim = y;
+      have_dim = true;
+    else
+      have_x = true;
+    endif
+  endif
+
+  if (! have_dim)
+    ## Find the first singleton dimension.
+    dim = 0;
+    while (dim < nd && sz(dim+1) == 1)
+      dim++;
+    endwhile
+    dim++;
+    if (dim > nd)
+      dim = 1;
+    endif
+  else
+    dim = floor (dim);
+    if (dim < 1 || dim > nd)
+      error ("cumtrapz: invalid dimension along which to sort");
+    endif
+  endif
+
+  n = sz(dim);
+  idx1 = cell ();
+  for i = 1:nd
+    idx1{i} = 1:sz(i);
+  endfor
+  idx2 = idx1;
+  idx1{dim} = 2 : n;	
+  idx2{dim} = 1 : (n - 1);
+
+  if (! have_x)
+    z = 0.5 * cumsum (x(idx1{:}) + x(idx2{:}), dim);
+  else
+    if (size (x) != size (y))
+      error ("cumtrapz: x and y must have same shape");
+    endif
+    z = 0.5 * cumsum ((x(idx1{:}) - x(idx2{:})) .* 
+		      (y(idx1{:}) + y(idx2{:})), dim);
+  endif
+
+  sz(dim) = 1;
+  z = cat (dim, zeros (sz), z);
+
+endfunction
+
+%!shared x1,x2,y
+%! x1 = [0,0,0;2,2,2];
+%! x2 = [0,2,4;0,2,4];
+%! y = [1,2,3;4,5,6];
+%!assert (cumtrapz(y),[0,0,0;2.5,3.5,4.5])
+%!assert (cumtrapz(x1,y),[0,0,0;5,7,9])
+%!assert (cumtrapz(y,1),[0,0,0;2.5,3.5,4.5])
+%!assert (cumtrapz(x1,y,1),[0,0,0;5,7,9])
+%!assert (cumtrapz(y,2),[0,1.5,4;0,4.5,10])
+%!assert (cumtrapz(x2,y,2),[0,3,8;0,9,20])