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Showing content from https://TheAlgorithms.github.io/C-Plus-Plus/d8/d9a/fast__fourier__transform_8cpp_source.html below:

TheAlgorithms/C++: numerical_methods/fast_fourier_transform.cpp Source File

pi = 2 * asin(1.0);

std::complex<double> om = std::complex<double>(

cos(2 * pi / n), sin(2 * pi / n));

*pe =

std::complex<double>[n / 2];

*po =

std::complex<double>[n / 2];

(

j = 0; j < n; j++) {

std::complex<double> *ye =

std::complex<double> *yo =

*y =

std::complex<double>[n];

(

i = 0; i < n / 2; i++) {

ye[k1] + pow(om, i) * yo[k2];

ye[k1] - pow(om, i) * yo[k2];

*t1 =

std::complex<double>[2];

*t2 =

std::complex<double>[4];

std::vector<std::complex<double>> r1 = {

std::vector<std::complex<double>> r2 = {

{10, 0}, {-2, -2}, {-2, 0}, {-2, 2}};

std::complex<double> *t3 =

std::complex<double> *t4 =

(uint8_t i = 0; i < n1; i++) {

assert((r1[i].real() - o1->real() < 0.000000000001) &&

(r1[i].imag() - o1->imag() <

(uint8_t i = 0; i < n2; i++) {

assert((r2[i].real() - o2->real() < 0.000000000001) &&

(r2[i].imag() - o2->imag() <

std::cout <<

;

static void test()

Self-test implementations.

int main()

Main function calls automated test function to test the working of fast fourier transform.

std::complex< double > * FastFourierTransform(std::complex< double > *p, uint8_t n)

FastFourierTransform is a recursive function which returns list of complex numbers.

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