function [pop] = initialize(num,bounds,evalFN,evalOps,options)% function [pop]=initialize(populationSize, variableBounds,evalFN,%                           evalOps,options)%    initialize creates a matrix of random numbers with %    a number of rows equal to the populationSize and a number%    columns equal to the number of rows in bounds plus 1 for%    the f(x) value which is found by applying the evalFN.%% pop            - the initial, evaluated, random population % populatoinSize - the size of the population, i.e. the number to create% variableBounds - a matrix which contains the bounds of each variable, i.e.%                  [var1_high var1_low; var2_high var2_low; ....]% evalFN         - the evaluation fn, usually the name of the .m file for %                  evaluation% evalOps        - any options to be passed to the eval function defaults []% options        - options to the initialize function, ie. %                  [eps float/binary prec] where eps is the epsilon value %                  and the second option is 1 for float and 0 for binary, %                  prec is the precision of the variables defaults [1e-6 1]% Binary and Real-Valued Simulation Evolution for Matlab % Copyright (C) 1996 C.R. Houck, J.A. Joines, M.G. Kay %% C.R. Houck, J.Joines, and M.Kay. A genetic algorithm for function% optimization: A Matlab implementation. ACM Transactions on Mathmatical% Software, Submitted 1996.%% This program 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 1, or (at your option)% any later version.%% This program 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. A copy of the GNU % General Public License can be obtained from the % Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.if nargin<5  options=[1e-6 1];endif nargin<4  evalOps=[];endif any(evalFN<48) %Not a .m file  if options(2)==1 %Float GA    estr=['x=pop(i,:); pop(i,xZomeLength)=', evalFN ,'(x);']  else %Binary GA    estr=['x=b2f(pop(i,:),bounds,bits); pop(i,xZomeLength)=', evalFN, '(x);'];   endelse %A .m file  if options(2)==1 %Float GA    estr=['[pop(i,xZomeLength) pop(i,:)]=' evalFN '(pop(i,:));'];    else %Binary GA    estr=['x=b2f(pop(i,:),bounds,bits);[v x]=' evalFN ...	'(x,[0 evalOps]); pop(i,:)=[f2b(x,bounds,bits) v];'];      endendnumVars     = size(bounds,1); 		%Number of variablesrng         = (bounds(:,2)-bounds(:,1))'; %The variable ranges'if options(2)==1 %Float GA  xZomeLength = numVars+1 		%Length of string is numVar + fit  pop         = zeros(num,xZomeLength);	%Allocate the new population  pop(:,1:numVars)=(ones(num,1)*rng).*(rand(num,numVars))+...    (ones(num,1)*bounds(:,1)')else %Binary GA  bits=calcbits(bounds,options(1));  xZomeLength = sum(bits)+1; 		%Length of string is numVar + fit  pop = round(rand(num,sum(bits)+1));end  for i=1:num  eval(estr)end