Cellular and Natural Computing Models and Software Simulation - Systematic Design for Emergence in Cellular Nonlinear Networks - page 44

s seen, the program requires several additional .M files. The neigh1.m or
neigh2.m files specify indexes of the cells in the neighborhood to be later used by
files like proj2s5.m which evaluates the projection according to the specified fam-
ily label (note the syntax proj typ.m of the projection file).

The files specifying the neighborhoods are presented bellow as well as two

examples of projection files:

%neigh1.m
jr=[2:n,1]; % right cells
jrr=[3:n,1:2];
jrrr=[4:n,1:3];
jrrrr=[5:n,1:4];

%neigh2.m
jr=[2:n,1];

% right cells

jl=[n,1:n-1]; % left cells

id=[2:m,1]; % upper cells

iu=[m,1:m-1]; % lower cells

jl=[n,1:n-1]; % left cells
jll=[n-1,n,1:n-2];
jlll=[n-2,n-1,n,1:n-3];
jllll=[n-3,n-2,n-1,n,1:n-4];

% proj2s5
sigm=5*(x0); % proj1s5

sigm=5*x0(i,j);

sigm=sigm+x0(i,jr);
sigm=sigm+x0(i,jl);
sigm=sigm+x0(id,j);
sigm=sigm+x0(iu,j);

sigm=sigm+x0(i,jll);
sigm=sigm+x0(i,jl);
sigm=sigm+x0(i,jr);
sigm=sigm+x0(i,jrr);

L implementation of the
relationship between output and projection (enc oded in Table 3.2). The first, entitled
offset_cell.m computes an offset z according to (3.) and is external to the main

Other two files are in relation with the canonical P

loop, while the second ( out_cell.m ) updates the cell outputs according to (3.) and

it is included in the main loop. Choosing a different form of cell implementation
requires changing only of these two files.

%offset_cell.m
ntr=size(tr,2); mm=ntr-1;
z=0.5*(tr(2:ntr)+tr(1:ntr-1));

% out_cell.m
w=w0;
if mod(ntr,2)==1 w=w0-s*sigm; end
for k=1:mm

w0=0;
if mod(ntr,2)==1 w0=w0+s*tr(1); end
for i=1:mm
w0=w0+s*((-1)^i)*abs(tr(1)-z(i));
end

w=w-s*((-1)^k)*abs(sigm-z(k));

end
if dig==1 x0=(sign(w)+1)/2;
else
x0=(0.5*(abs(w+1)-abs(w-1))+1)/2;
end