is it possible to do calculation like this in C?
A*exp(i*(b+c)) + D*exp(i*(e+f)),
where A,b,c,D,e,f are real numbers.
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Section 7.3 in the C99 Standard (or C11 Standard) deals with complex numbers.
Example code
You can see the code running at ideone: http://ideone.com/d7xD7
The output is