MATLAB: Add number to cell

add number to cell

I have A={[1,2,4],[2,3,4],[2,4,5],[4,5,6,9,10,11],[4,7,9],[7,8],[6,12,13]} and ref={[1],[1],[1],[3],[2],[1]} (ref means that which index in A is chosen as reference). So according to each referance ang is calculated in each array. ang={[0; -0.08;-0.17],[0;-0.14;0.09],[0;-0.09;-0.05],[0.05; 0.09; 0; -0.02;-0.03;-0.03],[0;-0.02;-0.01],[0.004;0],[0;-0.02;-0.01]}
[0; -0.08;-0.17] means that first elemnt is chosen as referance so -0.08 is calculated according to 1 as reference.
As I want to change all referance according to 1.
[1,2,4]=[0; -0.08;-0.17] this one is not changing
[2,3,4] as 2 is reference here so I need scale up all element to -0.08 (add all element to -0.08)
[2,3,4]=[0+(-0.08);-0.14+(-0.08);-0.09+(-0.08)] =[-0.08;-0.22;-0.17]
for [2,4,5] as reference is not changing only need to add all to -0.08
[2,4,5]=[0;-0.09+(-0.08);-0.05+(-0.08)]=[0;-0.17;-0.13]
for [4,5,6,9,10,11] as 6 is reference, I need to scale up. we know that ang(4)should be-0.17 and ang(4) here is 0.05. need to change 0.05 to -0.17 .
(0.05+(X)=-0.17, X=-0.22) need to add all to -0.22
[4,5,6,9,10,11]=[0.05+(X); 0.09-0.22; 0+(-0.22); -0.02+(-0.22);-0.03+(-0.22);-0.03+(-0.22)] =[-0.17;-0.13;-0.22; -0.24;-0.25;-0.25]
for [4,7,9] ang(4) should be -0.17. so add all to -0.17
[4,7,9]=[0+(-0.17);-0.02+(-0.17);-0.01+(-0.17)]=[-0.17;-0.19;-0.18]
for [7,8] from the above we know ang(7) should be -0.19 so add all to -0.19
[7,8]=[0.004+(X);0+(-0.186)]=[-0.19;-0.186] 0.004+(X)=-0.19 X=-0.186
[6,12,13]=[0+(-0.22);-0.02+(-0.22);-0.01+(-0.22)]
result should be [1,2,3,4,5,6,7,8,9,10,11,12,13]=[0,-0.08,-0.22;-0.17;-0.13;-0.22;-0.19;-0.186; -0.18;-0.25;-0.25]]
I also try this
tmp = cellfun(@(c,p,m)c+c(p(m)),ang,A,ref,'uni',0);
but it is not working

Best Answer

I haven't seen a demand for such an indirekt algorithm yet, but if this really satisfies your needs, there is no reason to change the code. With the above mentioned simplifications:
A   = {[1,2,4],[2,3,4],[2,4,5],[4,5,6,9,10,11],[4,7,9],[7,8],[6,12,13]};
ref = {[1],[1],[1],[3],[1],[2],[1]};
ang = {[0; -0.08;-0.17],[0;-0.14;-0.09],[0;-0.09;-0.05],[0.05; 0.09; 0; -0.02;-0.03;-0.03],[0;-0.02;-0.07],[0.004;0],[0;-0.02;-0.01]};
new_ang = zeros(1, max([A{:}]));
for k = 1:numel(A)
    index = A{k};
    first = index(1);
    if ang{k}(1) == 0
        % if any(A{k} == 1)
        %    new_ang(index) = new_ang(first) + ang{k};

        % elseif any(A{k} == first)
        %    new_ang(index) = new_ang(first) + ang{k};
        % end
        
        % Because both assigments are equal, this is more elegant:
        if any(A{k} == 1) || any(A{k} == first)
           new_ang(index) = new_ang(first) + ang{k};
        end
    else
        new_ang(index) = new_ang(first) - ang{k}(1) + ang{k};       
    end
end
Or
new_ang = zeros(1, max([A{:}]));
for k = 1:numel(A)
    index = A{k};
    first = index(1);
    if ang{k}(1) ~= 0 || (any(A{k} == 1) || any(A{k} == first))
        new_ang(index) = new_ang(first) - ang{k}(1) + ang{k};       
    end
end
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