📄 quadrant.mata
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*! version 1.0.0 15oct2004
version 9.0
mata:
/*
Quadrants:
(2)
2 | 1
|
(3) ------+------ (1)
3 | 4
(4)
quadrant(0i) = quandrant(C(.)) = .
Note treatment of degenerate cases: quadrant(5+0i) = 1
Thus, after exclusion of Re==Im==0:
Q1: Re>0 & Im>=0
Q2: Re<=0 & Im>0
Q3: Re<0 & Im<=0
*/
real matrix quadrant(complex matrix z)
{
real matrix q
complex scalar a
real scalar ar, ai, res
real scalar i, j, r, c
q = J(r=rows(z),c=cols(z),.)
for (i=1;i<=r;i++) {
for (j=1;j<=c;j++) {
a = z[i,j]
if (a!=. & a!=0) {
ar = Re(a)
ai = Im(a)
if (ar> 0 & ai>=0) res = 1
else if (ar<=0 & ai> 0) res = 2
else if (ar< 0 & ai<=0) res = 3
else res = 4
q[i,j] = res
}
}
}
return(q)
}
end
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