I am new to matlab and I am trying to figure how to write the following function in a smart/efficient way. First I create a matrix 'y' with entries HL, and every line is a permutation of a predefined length ( n ). For example, for n=3 I get the first line of the matrix y : H H H. Then I want for each line, to create a matrix of size n x n where for example the entry (1,2) corresponds to a variable which links entry y(1,1) with y(1,2) , and entry (3,2) corresponds to a variable which links entry y(1,3) with y(1,2). Is this possible?
Thank you
function A1=mystupidfunction(s , n)
%n is the number of agents and s is the number of state, this function
%returns the matrix of influence. Stupid code must be improved to work for
%n agents
x = 'HL'; %// Set of possible types
K = n; %// Length of each permutation
%// Create all possible permutations (with repetition) of letters stored in x
C = cell(K, 1); %// Preallocate a cell array
[C{:}] = ndgrid(x);
y = cellfun(@(x){x(:)}, C);
y = [y{:}];
A1 = sym('A1',[n n], 'positive' );
syms H L A_HH A_HL A_LH A_LL
for k=s
for i=1:n
for j=1:n
if ( y(k,1)==H) && ( y(k,2)==H) && (y(k,3)==H)
A1(i,j)=A_HH
elseif ( y(k,1)==L) && ( y(k,2)==L) && (y(k,3)==L)
A1(i,j)=A_LL
elseif ( y(k,1)==H) && ( y(k,2)==L) && (y(k,3)==L)
A1(1,1)=A_HH
A1(1,2)=A_HL
A1(1,3)=A_HL
A1(2,1)=A_LH
A1(3,1)=A_LH
A1(2,2)=A_LL
A1(2,3)=A_LL
A1(3,3)=A_LL
A1(3,2)=A_LL
elseif ( y(k,1)==H) && ( y(k,2)==H) && (y(k,3)==L)
A1(1,1)=A_HH
A1(1,2)=A_HH
A1(1,3)=A_HL
A1(2,1)=A_HH
A1(3,1)=A_LH
A1(2,2)=A_HH
A1(2,3)=A_HL
A1(3,3)=A_LL
A1(3,2)=A_LH
elseif ( y(k,1)==L) && ( y(k,2)==L) && (y(k,3)==H)
A1(1,1)=A_LL
A1(1,2)=A_LL
A1(1,3)=A_LH
A1(2,1)=A_LL
A1(3,1)=A_LH
A1(2,2)=A_LL
A1(2,3)=A_LH
A1(3,3)=A_HH
A1(3,2)=A_HL
elseif ( y(k,1)==L) && ( y(k,2)==H) && (y(k,3)==H)
A1(1,1)=A_LL
A1(1,2)=A_LH
A1(1,3)=A_LH
A1(2,1)=A_HL
A1(3,1)=A_HL
A1(2,2)=A_HH
A1(2,3)=A_HH
A1(3,3)=A_HH
A1(3,2)=A_HH
elseif ( y(k,1)==L) && ( y(k,2)==H) && (y(k,3)==L)
A1(1,1)=A_LL
A1(1,2)=A_LH
A1(1,3)=A_LL
A1(2,1)=A_HL
A1(3,1)=A_LL
A1(2,2)=A_HH
A1(2,3)=A_HL
A1(3,3)=A_LL
A1(3,2)=A_LH
elseif ( y(k,1)==H) && ( y(k,2)==L) && (y(k,3)==H)
A1(1,1)=A_HH
A1(1,2)=A_HL
A1(1,3)=A_HH
A1(2,1)=A_LH
A1(3,1)=A_HH
A1(2,2)=A_LL
A1(2,3)=A_HL
A1(3,3)=A_HH
A1(3,2)=A_HL
else A(i,j)=0
end
end
end
end
for example for n=3 and s=1 the function returns :
A =
[ A_HH, A_HH, A_HH]
[ A_HH, A_HH, A_HH]
[ A_HH, A_HH, A_HH]
Thank you