1ff9af85
 David Mayerich
added MATLAB/OCTA...
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function S = rtsMonteCarloSphere(sqrtN, startAngle, endAngle)
%allocate space for the samples
S = zeros(sqrtN^2, 2);
if sqrtN == 1
S = [0 0];
return;
end
cosStart = cos(startAngle);
cosEnd = cos(endAngle);
i=1; % array index
oneoverN = 1.0/sqrtN;
for a = 0:sqrtN-1
for b = 0:sqrtN-1
%generate unbiased distribution of spherical coords
U1 = rand(1, 1);
U2 = rand(1, 1);
%x = 1.0 - (a + U1) * oneoverN * (1.0 - cosEnd)
x = cosStart - (a + U1) * oneoverN * (1.0 - cosEnd);
y = (b + U2) * oneoverN;
theta = acos(x);
phi = 2.0 * pi * y;
S(i, 1) = theta;
S(i, 2) = phi;
i = i+1;
end
end
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