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Ingy döt Net 2023-07-01 11:58:00 -04:00
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Task/Zig-zag-matrix/MATLAB/zig-zag-matrix.m Normal file
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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 matrix
for 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 flipCol
column = fliplr(column);
flipRow = true;
flipCol = false;
elseif flipRow
row = 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 diagonal
for j = (1:numel(row))
matrix(row(j),column(j)) = counter;
counter = counter + 1;
end
end
%This for loop does the bottom-diagonal of the matrix
for 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 flipCol
column = fliplr(column);
flipRow = true;
flipCol = false;
elseif flipRow
row = 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 diagonal
for j = (1:numel(row))
matrix(row(j),column(j)) = counter;
counter = counter + 1;
end
end
end