MATLAB: Simplying of the statements

MATLABmatlab function

I have attached two parts(part 1 and part 2) from my script and there are few parts like this and I want to simplify these hard coded statements. For easyness, I have attached two different statements only in here which means I just want understand my weakness once somebody guided me. All these i,j,k values are in 1:10 range. just expecting two different simplified statements for part(1) and part(2).
if ((j==1)&&(k==1)||(j==2)&&(k==2)||(j==3)&&(k==3)||(j==4)&&(k==4)||(j==5)&&(k==5)||(j==6)&&(k==6)||(j==7)&&(k==7)||(j==8)&&(k==8)||(j==9)&&(k==9)||(j==10)&&(k==10))&&((i==1)||(i==10));
                B(i,j,k)=1;
            else B(i,j,k)=0;%----------part (1)
                
     if ((i==10)&&(j==1)||(i==9)&&(j==2)||(i==8)&&(j==3)||(i==7)&&(j==4)||(i==6)&&(j==5)||(i==5)&&(j==6)||(i==4)&&(j==7)||(i==3)&&(j==8)||(i==2)&&(j==9)||(i==1)&&(j==10))&&((k==1)||(k==10));
                B(i,j,k)=1;
            else B(i, j,k)=0;%----------part(2)

Best Answer

Hi Yasasween,
Two things to make a simplied equation:
  1. Assigning B with zeros, as all the dimensions are known at the first place. Implies, one can get away with else condition (i.e. B = zeros(10,10,10)
  2. Now, placing the if conditions for the value of 1
On the Simplication part, lets start with the first condition placed
 % First condition
 ((j==1)&&(k==1)||(j==2)&&(k==2)||(j==3)&&(k==3)||(j==4)&&(k==4)||(j==5)&&(k==5)||(j==6)&&(k==6)||(j==7)&&(k==7)||(j==8)&&(k==8)||(j==9)&&(k==9)||(j==10)&&(k==10))&&((i==1)||(i==10));
 % As can be seen in the above condition, the first part has j and k are equal, and then it is valid for i equals 1 or 10
 % So, this can be the update or simplied statement for it
 ((j == k)) && (any(i == [1 10]))
 
 % Second condition
 ((i==10)&&(j==1)||(i==9)&&(j==2)||(i==8)&&(j==3)||(i==7)&&(j==4)||(i==6)&&(j==5)||(i==5)&&(j==6)||(i==4)&&(j==7)||(i==3)&&(j==8)||(i==2)&&(j==9)||(i==1)&&(j==10))&&((k==1)||(k==10))
 
 % As can be seen in the above condition, other than the last condiiton, all other conditions lead to a value of 11 when added
 ((i+j == 11)) || (any(k == [1 10]))
 
 % In a similar fashion, based on the pattern of the conditions, the simplications can be made
Hope this helps.
Regards,
Sriram
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