I am developing a project in plain C++ using VS2010, I need to calculate the arc cosine of a real value (can be out of -1;1 range, so need to deal with complex numbers) and compare it with a double to see whether or not a threshold is satisfied

To make things clear, I need to convert this code (which works in matlab)

Code:

% dotprods is a vector of real values
tempvar=acos(dotprods); % inverse cosine, some of these values are complex
[vals,indx] = sort(tempvar); % Take inverse cosine and sort results
% value compare
if (vals(1) < threshold * secondvalue)
% condition is TRUE
else
% condition is FALSE
end

Unfortunately the acos function does not work with complex numbers.

I tried to arrange things this way:

Code:

for(int j...) // cycle values of the vector
{
// dotprods is a ublas double vector with real values
complex<double> c(0,1); // i
complex<double> one(1,0); // 1
complex<double> _acos = -c*log(dotprods[j]+c*pow(one-pow(dotprods[j],2),1/2));
// here there is a cycle to sort values
if( abs(_acos) < threshold * secondvalue) // threshold and secondvalue are double
// TRUE
else
// FALSE
}

The problem is that the formula I wrote (should be equal to arccosine function theorically) is not working. Results are wrong.

Can I use something like "cacos" function in a VS2010 C++ program?

I need a help please