How to Fourier Transform?

So how does one break a windows wav file into the component sine waves, together with phase and amplitude? People say one has to use DFT, but wikipedia article on DFT contains just some opaque formula, containing e with a complex superscript. How can it be used to produce C/C++-compilar uint32_t array of sine-wave frequencies? C/C++'s exp() cant even exponentiate e to a complex number.

>>12
Because that's where the drivers are, good luck getting a graphics card from this decade to run under Plan 9. Linux distros have also been going the Windows way for years, which sucks for competent users but increases user count.