生成 ZIG-ZAG 扫描顺序MATLAB代码

MATLAB

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function matrix = zigZag(n)%This is very unintiutive. This algorithm parameterizes the%zig-zagging movement along the matrix indicies. The easiest way to see%what this algorithm does is to go through line-by-line and write out%what the algorithm does on a peace of paper. matrix = zeros(n);counter = 1;flipCol = true;flipRow = false;%This for loop does the top-diagonal of the matrixfor i = (2:n)row = (1:i);column = (1:i);%Causes the zig-zagging. Without these conditionals, you would end %up with a diagonal matrix. To see what happens comment these conditionals out.         if flipColcolumn = fliplr(column);flipRow = true;flipCol = false;elseif flipRowrow = fliplr(row);flipRow = false;flipCol = true;           end%Selects a diagonal of the zig-zag matrix and places the correct%integer value in each index along that diagonalfor j = (1:numel(row))matrix(row(j),column(j)) = counter;counter = counter + 1;end   end%This for loop does the bottom-diagonal of the matrixfor i = (2:n)row = (i:n);column = (i:n);%Causes the zig-zagging. Without these conditionals, you would end %up with a diagonal matrix. To see what happens comment these conditionals out. if flipColcolumn = fliplr(column);flipRow = true;flipCol = false;elseif flipRowrow = fliplr(row);flipRow = false;flipCol = true;           end%Selects a diagonal of the zig-zag matrix and places the correct%integer value in each index along that diagonalfor j = (1:numel(row))matrix(row(j),column(j)) = counter;counter = counter + 1;end   endend

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