You are an expert in writing code in many different languages. Your goal is to perform code completion for the following code, keeping in mind the rest of the code and the file meta data.
    Metadata details:
    filename: g_adimat_trapz.m
    path of file: ./repos/d2d/arFramework3/ThirdParty/StrucID/adimat/runtime
    
    the code of the file until where you have to start completion: % Generated by ADiMat 0.6.0-4867
% Copyright 2009-2013 Johannes Willkomm, Fachgebiet Scientific Computing,
% TU Darmstadt, 64289 Darmstadt, Germany
% Copyright 2001-2008 Andre Vehreschild, Institute for Scientific Computing,
% RWTH Aachen University, 52056 Aachen, Germany.
% Visit us on the web at http://www.adimat.de
% Report bugs to adimat-users@lists.sc.informatik.tu-darmstadt.de
%
%
%                             DISCLAIMER
%
% ADiMat was prepared as part of an employment at the Institute
% for Scientific Computing, RWTH Aachen University, Germany and is
% provided AS IS. NEITHER THE AUTHOR(S), THE GOVERNMENT OF THE FEDERAL
% REPUBLIC OF GERMANY NOR ANY AGENCY THEREOF, NOR THE RWTH AACHEN UNIVERSITY,
% INCLUDING ANY OF THEIR EMPLOYEES OR OFFICERS, MAKES ANY WARRANTY,
% EXPRESS OR IMPLIED, OR ASSUMES ANY LEGAL LIABILITY OR RESPONSIBILITY
% FOR THE ACCURACY, COMPLETENESS, OR USEFULNESS OF ANY INFORMATION OR
% PROCESS DISCLOSED, OR REPRESENTS THAT ITS USE WOULD NOT INFRINGE
% PRIVATELY OWNED RIGHTS.
%
% Global flags were:
% FORWARDMODE -- Apply the forward mode to the files.
% NOOPEROPTIM -- Do not use optimized operators. I.e.:
%		 g_a*b*g_c -/-> mt
    
function [g_z, z]= g_adimat_trapz_nonuni3(g_X, X, g_Y, Y, dim)
   len= size(Y, dim); 
   if len< 2
      z= zeros(size(Y)); 
      g_z= g_zeros(size(z));
   else 
      ndim= length(size(Y)); 
      g_D= call(@diff, g_X);
      D= diff(X); 
      a= 0; 
      b= sum(D); 
      N= len; 
      tmp_adimat_trapz_nonuni3_00000= len- 1;
      tmp_adimat_trapz_nonuni3_00001= [ones(1, dim- 1), tmp_adimat_trapz_nonuni3_00000, ones(1, ndim- dim)];
      g_tmp_adimat_trapz_nonuni3_00005= call(@reshape, g_D, tmp_adimat_trapz_nonuni3_00001);
      tmp_adimat_trapz_nonuni3_00005= reshape(D, tmp_adimat_trapz_nonuni3_00001); 
      % Update detected: D= some_expression(D,...)
      g_D= g_tmp_adimat_trapz_nonuni3_00005;
      D= tmp_adimat_trapz_nonuni3_00005;
      sy1= size(Y); 
      sy1(dim)= 1; 
      g_tmp_adimat_trapz_nonuni3_00006= call(@repmat, g_D, sy1);
      tmp_adimat_trapz_nonuni3_00006= repmat(D, sy1); 
      % Update detected: D= some_expression(D,...)
      g_D= g_tmp_adimat_trapz_nonuni3_00006;
      D= tmp_adimat_trapz_nonuni3_00006;
      inds= repmat({':'}, [length(size(Y)), 1]); 
      inds{dim}= 1: len- 1; 
      g_tmp_Y_00001= g_Y(inds{: });
      tmp_Y_00001= Y(inds{: });
      g_Y1= g_tmp_Y_00001;
      Y1= tmp_Y_00001; 
      inds{dim}= 2: len; 
      g_tmp_Y_00002= g_Y(inds{: });
      tmp_Y_00002= Y(inds{: });
      g_Y2= g_tmp_Y_00002;
      Y2= tmp_Y_00002; 
      g_tmp_adimat_trapz_nonuni3_00002= g_Y1.* D+ Y1.* g_D;
      tmp_adimat_trapz_nonuni3_00002= Y1.* D;
      g_tmp_sum_00001= call(@sum, g_tmp_adimat_trapz_nonuni3_00002, dim);
      tmp_sum_00001= sum(tmp_adimat_trapz_nonuni3_00002, dim);
      g_tmp_adimat_trapz_nonuni3_00003= g_Y2.* D+ Y2.* g_D;
      tmp_adimat_trapz_nonuni3_00003= Y2.* D;
      g_tmp_sum_00002= call(@sum, g_tmp_adimat_trapz_nonuni3_00003, dim);
      tmp_sum_00002= sum(tmp_adimat_trapz_nonuni3_00003, dim);
      g_tmp_adimat_trapz_nonuni3_00004= g_tmp_sum_00001+ g_tmp_sum_00002;
      tmp_adimat_trapz_nonuni3_00004= tmp_sum_00001+ tmp_sum_00002;
      g_z= 0.5* g_tmp_adimat_trapz_nonuni3_00004;
      z= 0.5* tmp_adimat_trapz_nonuni3_00004; 
   end