📄 objfun2.m
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% OBJFUN2.M (OBJective function for rosenbrock's FUNction)
%
% This function implements the ROSENBROCK valley (DE JONG's Function 2).
%
% Syntax: ObjVal = objfun2(Chrom,rtn_type)
%
% Input parameters:
% Chrom - Matrix containing the chromosomes of the current
% population. Each row corresponds to one
% individual's string representation.
% if called with Chrom == [], then boundaries of
% the function or title for figure will be returned
% rtn_type - if Chrom == [] and rtn_type == 1 (or []) then return
% boundaries, if rtn_type == 2 return title
%
% Output parameters:
% ObjVal - Column vector containing the objective values of the
% individuals in the current population.
% if called with Chrom == [], then ObjVal contains
% the matrix with the boundaries of the function or
% the Text for the title of the graphic output
%
% Author: Hartmut Pohlheim
% History: 26.01.94 file created
% 01.03.94 name changed in obj*
% 13.01.03 updated for MATLAB v6 by Alex Shenfield
function ObjVal = objfun2(Chrom,rtn_type);
% Dimension of objective function
Dim = 2;
% Compute population parameters
[Nind,Nvar] = size(Chrom);
% Check size of Chrom and do the appropriate thing
% if Chrom is [], then define size of boundary-matrix and values
if Nind == 0
% return text of title for graphic output
if rtn_type == 2
ObjVal = ['ROSENBROCKs function 2-' int2str(Dim)];
% return value of global minimum
elseif rtn_type == 3
ObjVal = 0;
% define size of boundary-matrix and values
else
% lower and upper bound, identical for all n variables
ObjVal = [-2; 2];
ObjVal = ObjVal(1:2,ones(Dim,1));
end
% if Dim variables, compute values of function
elseif Nvar == Dim
% function 11, sum of 100* (x(i+1) -xi^2)^2+(1-xi)^2 for i = 1:Dim (Dim=10)
% n = Dim, -10 <= xi <= 10
% global minimum at (xi)=(1) ; fmin=0
Mat1 = Chrom(:,1:Nvar-1);
Mat2 = Chrom(:,2:Nvar);
if Dim == 2
ObjVal = 100*(Mat2-Mat1.^2).^2+(1-Mat1).^2;
else
ObjVal = sum((100*(Mat2-Mat1.^2).^2+(1-Mat1).^2)')';
end
% otherwise error, wrong format of Chrom
else
error('size of matrix Chrom is not correct for function evaluation');
end
% End of function
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