#include "complex_internal.h"

void FUNCTION(fft_real,pass_2) (const BASE in[],
		      size_t istride,
		      BASE out[],
		      size_t ostride,
		      const size_t product,
		      const size_t n,
		      const gsl_complex twiddle[]);

void FUNCTION(fft_real,pass_3) (const BASE in[], 
		      size_t istride,
		      BASE out[],
		      size_t ostride,
		      const size_t product,
		      const size_t n,
		      const gsl_complex twiddle1[],
		      const gsl_complex twiddle2[]);

void FUNCTION(fft_real,pass_4) (const BASE in[],
		      size_t istride,
		      BASE out[],
		      size_t ostride,
		      const size_t product,
		      const size_t n,
		      const gsl_complex twiddle1[],
		      const gsl_complex twiddle2[],
		      const gsl_complex twiddle3[]);

void FUNCTION(fft_real,pass_5) (const BASE in[],
		      size_t istride,
		      BASE out[],
		      size_t ostride,
		      const size_t product,
		      const size_t n,
		      const gsl_complex twiddle1[],
		      const gsl_complex twiddle2[],
		      const gsl_complex twiddle3[],
		      const gsl_complex twiddle4[]);

void FUNCTION(fft_real,pass_6) (const BASE in[], 
		      size_t istride,
		      BASE out[],
		      size_t ostride,
		      size_t product, size_t n,
		      gsl_complex * twiddle1, gsl_complex * twiddle2,
		      gsl_complex * twiddle3, gsl_complex * twiddle4,
		      gsl_complex * twiddle5);

void FUNCTION(fft_real,pass_n) (const BASE in[], 
		      size_t istride,
		      BASE out[],
		      size_t ostride,
		      const size_t factor,
		      const size_t product,
		      const size_t n,
		      const gsl_complex twiddle[]);