C语言行优先和列优先的问题深入分析

% data 
A = [ 1 1 
   2 2 
   3 3  
   4 4 
   5 5 
   6 6 
   7 7 
   8 8 
   9 9]; 
B = [ 1 2 3 4 5 6 7 8 9 
   1 2 3 4 5 6 7 8 9]; 
C = zeros(9,9); 
 
% The method of matrix multiplication in Matlab 
tic  
C = A*B; 
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%　Our impletation method of matrix multiplication 
tic 
for ra = 1:9 % raws of the matrix A 
  for cb = 1:9 % columns of the matrix B 
    for len = 1:2  
      C(ra,cb) = A(ra,len)*B(len,cb)+C(ra,cb);  
    end 
  end 
end 
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% Optimal method 1  
tic 
for cb = 1:9 % columns of the matrix B 
  for ra = 1:9 % raws of the matrix A 
    for len = 1:2  
      C(ra,cb) = A(ra,len)*B(len,cb)+C(ra,cb);  
    end 
  end 
end 
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% Advanced optimal method 2 
A = A'; % you can also directly given A = [ 1 2 3 4 5 6 7 8 9  
    %                  1 2 3 4 5 6 7 8 9]; 
B = [ 1 2 3 4 5 6 7 8 9 
   1 2 3 4 5 6 7 8 9]; 
tic 
for i = 1:9 % columns of the matrix A 
  for j = 1:9 % columns of the matrix B 
    for len = 1:2 
      C(i,j) = A(len,i)*B(len,j)+C(i,j); 
    end 
  end 
end      
toc