📄 zigzag.m
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function x=zigzag(a)
clear x;
[ro co]=size(a);
x(1)=a(1,1);
if co>=ro
for n=2:2:ro
x=[x diag(flipud(a(1:n,1:n)))'];
if (n+1)<=ro
x=[x diag(fliplr(a(1:n+1,1:n+1)))'];
end
end
s=rem(ro,2);
if co==ro
if s==0
for n=2:2:ro
x=[x diag(fliplr(a(n:ro,n:ro)))'];
if (n+1)<=ro
x=[x diag(flipud(a((n+1):ro,(n+1):ro)))'];
end
end
else
for n=2:2:ro
x=[x diag(flipud(a(n:ro,n:ro)))'];
if (n+1)<=ro
x=[x diag(fliplr(a((n+1):ro,(n+1):ro)))'];
end
end
end
else if co>ro
ss=rem(co,2);
if s==0
for n=2:2:co-ro+1
x=[x diag(fliplr(a(:,n:ro+n-1)))'];
if (n+1)<=co-ro+1
x=[x diag(flipud(a(:,n+1:ro+n)))'];
end
end
if ss==0
for n=2:2:ro
x=[x diag(fliplr(a(n:ro,co-ro+n:co)))'];
if (n+1)<=ro
x=[x diag(flipud(a((n+1):ro,co-ro+(n+1):co)))'];
end
end
else
for n=2:2:ro
x=[x diag(flipud(a(n:ro,co-ro+n:co)))'];
if (n+1)<=ro
x=[x diag(fliplr(a((n+1):ro,co-ro+(n+1):co)))'];
end
end
end
else
for n=2:2:co-ro+1
x=[x diag(flipud(a(:,n:ro+n-1)))'];
if (n+1)<=co-ro+1
x=[x diag(fliplr(a(:,n+1:ro+n)))'];
end
end
if ss==0
for n=2:2:ro
x=[x diag(fliplr(a(n:ro,co-ro+n:co)))'];
if (n+1)<=ro
x=[x diag(flipud(a((n+1):ro,co-ro+(n+1):co)))'];
end
end
else
for n=2:2:ro
x=[x diag(flipud(a(n:ro,co-ro+n:co)))'];
if (n+1)<=ro
x=[x diag(fliplr(a((n+1):ro,co-ro+(n+1):co)))'];
end
end
end
end
end
end
else if ro>co
a=a';
[ro co]=size(a);
ss=rem(co,2);
for n=2:2:ro
x=[x diag(fliplr(a(1:n,1:n)))'];
if (n+1)<=ro
x=[x diag(flipud(a(1:n+1,1:n+1)))'];
end
end
s=rem(ro,2);
if s==0
for n=2:2:co-ro+1
x=[x diag(flipud(a(:,n:ro+n-1)))'];
if (n+1)<=co-ro+1
x=[x diag(fliplr(a(:,n+1:ro+n)))'];
end
end
ss=rem(co,2);
if ss==0
for n=2:2:ro
x=[x diag(flipud(a(n:ro,co-ro+n:co)))'];
if (n+1)<=ro
x=[x diag(fliplr(a((n+1):ro,co-ro+(n+1):co)))'];
end
end
else
for n=2:2:ro
x=[x diag(fliplr(a(n:ro,co-ro+n:co)))'];
if (n+1)<=ro
x=[x diag(flipud(a((n+1):ro,co-ro+(n+1):co)))'];
end
end
end
else
for n=2:2:co-ro+1
x=[x diag(fliplr(a(:,n:ro+n-1)))'];
if (n+1)<=co-ro+1
x=[x diag(flipud(a(:,n+1:ro+n)))'];
end
end
if ss==0
for n=2:2:ro
x=[x diag(flipud(a(n:ro,co-ro+n:co)))'];
if (n+1)<=ro
x=[x diag(fliplr(a((n+1):ro,co-ro+(n+1):co)))'];
end
end
else
for n=2:2:ro
x=[x diag(fliplr(a(n:ro,co-ro+n:co)))'];
if (n+1)<=ro
x=[x diag(flipud(a((n+1):ro,co-ro+(n+1):co)))'];
end
end
end
end
end
end
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