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/* $Id$ */
/*
 * Copyright (c) 2010 Dimitri Sokolyuk <demon@dim13.org>
 *
 * Permission to use, copy, modify, and distribute this software for any
 * purpose with or without fee is hereby granted, provided that the above
 * copyright notice and this permission notice appear in all copies.
 *
 * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
 * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
 * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
 * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
 * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
 * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
 * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
 */

#include <assert.h>
#include <stdint.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <complex.h>		/* must be prior fftw3 */
#include <fftw3.h>

#include "fft.h"

struct fft {
	fftw_plan plan;
	double	*in;
	fftw_complex *out;
	size_t	n;
	double	*window;
	double	*sq;
};

static double *
hamming(size_t n)
{
	double	*p;
	int	i;

	p = calloc(n, sizeof(double));
	assert(p);

	for (i = 0; i < n; i++) {
		p[i] = 0.54 - 0.46 * cos((2 * M_PI * i) / (n - 1));
		p[i] /= INT16_MAX;
	}

	return p;
}

static double *
squares(size_t n)
{
	double	*p;
	int	i;

	p = calloc(n, sizeof(double));
	assert(p);

	for (i = 0; i < n; i++)
		p[i] = sqrt(i + 1);

	return p;
}

struct fft *
init_fft(size_t n)
{
	struct	fft *p;

	p = malloc(sizeof(struct fft));
	assert(p);

	p->n = n;
	p->in = fftw_malloc(p->n * sizeof(double));
	p->out = fftw_malloc(p->n * sizeof(double));
	assert(p->in && p->out);

	p->window = hamming(p->n);
	p->sq = squares(p->n);

	p->plan = fftw_plan_dft_r2c_1d(p->n, p->in, p->out, FFTW_MEASURE);

	return p;
}

int
exec_fft(struct fft *p, int16_t *data, double *out, enum fft_chan chan)
{
	int	i;

	for (i = 0; i < p->n; i++)
		p->in[i] = p->window[i] * data[2 * i + chan];

	fftw_execute(p->plan);

	for (i = 0; i < p->n / 2; i++)
		out[i] = p->sq[i] * cabs(p->out[i]);

	return 0;
}

void
free_fft(struct fft *p)
{
	fftw_free(p->in);
	fftw_free(p->out);
	free(p->window);
	free(p->sq);
	free(p);
}