ref: 668ec4a6c0b23d65270c609ec748879b3075c6ee
dir: /libfaac/fft.c/
/*
* FAAC - Freeware Advanced Audio Coder
* $Id: fft.c,v 1.11 2004/04/02 14:56:17 danchr Exp $
* Copyright (C) 2002 Krzysztof Nikiel
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
* You should have received a copy of the GNU Lesser General Public
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
*/
#include <math.h>
#include <stdlib.h>
#include <stdio.h>
#include "fft.h"
#include "util.h"
#define MAXLOGM 9
#define MAXLOGR 8
void fft_initialize( FFT_Tables *fft_tables )
{
int i;
fft_tables->costbl = AllocMemory( (MAXLOGM+1) * sizeof( fft_tables->costbl[0] ) );
fft_tables->negsintbl = AllocMemory( (MAXLOGM+1) * sizeof( fft_tables->negsintbl[0] ) );
fft_tables->reordertbl = AllocMemory( (MAXLOGM+1) * sizeof( fft_tables->reordertbl[0] ) );
for( i = 0; i< MAXLOGM+1; i++ )
{
fft_tables->costbl[i] = NULL;
fft_tables->negsintbl[i] = NULL;
fft_tables->reordertbl[i] = NULL;
}
}
void fft_terminate( FFT_Tables *fft_tables )
{
int i;
for( i = 0; i< MAXLOGM+1; i++ )
{
if( fft_tables->costbl[i] != NULL )
FreeMemory( fft_tables->costbl[i] );
if( fft_tables->negsintbl[i] != NULL )
FreeMemory( fft_tables->negsintbl[i] );
if( fft_tables->reordertbl[i] != NULL )
FreeMemory( fft_tables->reordertbl[i] );
}
FreeMemory( fft_tables->costbl );
FreeMemory( fft_tables->negsintbl );
FreeMemory( fft_tables->reordertbl );
fft_tables->costbl = NULL;
fft_tables->negsintbl = NULL;
fft_tables->reordertbl = NULL;
}
static void reorder( FFT_Tables *fft_tables, double *x, int logm)
{
int i;
int size = 1 << logm;
unsigned short *r; //size
if ( fft_tables->reordertbl[logm] == NULL ) // create bit reversing table
{
fft_tables->reordertbl[logm] = AllocMemory(size * sizeof(*(fft_tables->reordertbl[0])));
for (i = 0; i < size; i++)
{
int reversed = 0;
int b0;
int tmp = i;
for (b0 = 0; b0 < logm; b0++)
{
reversed = (reversed << 1) | (tmp & 1);
tmp >>= 1;
}
fft_tables->reordertbl[logm][i] = reversed;
}
}
r = fft_tables->reordertbl[logm];
for (i = 0; i < size; i++)
{
int j = r[i];
double tmp;
if (j <= i)
continue;
tmp = x[i];
x[i] = x[j];
x[j] = tmp;
}
}
static void fft_proc(
double *xr,
double *xi,
fftfloat *refac,
fftfloat *imfac,
int size)
{
int step, shift, pos;
int exp, estep;
estep = size;
for (step = 1; step < size; step *= 2)
{
int x1;
int x2 = 0;
estep >>= 1;
for (pos = 0; pos < size; pos += (2 * step))
{
x1 = x2;
x2 += step;
exp = 0;
for (shift = 0; shift < step; shift++)
{
double v2r, v2i;
v2r = xr[x2] * refac[exp] - xi[x2] * imfac[exp];
v2i = xr[x2] * imfac[exp] + xi[x2] * refac[exp];
xr[x2] = xr[x1] - v2r;
xr[x1] += v2r;
xi[x2] = xi[x1] - v2i;
xi[x1] += v2i;
exp += estep;
x1++;
x2++;
}
}
}
}
static void check_tables( FFT_Tables *fft_tables, int logm)
{
if( fft_tables->costbl[logm] == NULL )
{
int i;
int size = 1 << logm;
if( fft_tables->negsintbl[logm] != NULL )
FreeMemory( fft_tables->negsintbl[logm] );
fft_tables->costbl[logm] = AllocMemory((size / 2) * sizeof(*(fft_tables->costbl[0])));
fft_tables->negsintbl[logm] = AllocMemory((size / 2) * sizeof(*(fft_tables->negsintbl[0])));
for (i = 0; i < (size >> 1); i++)
{
double theta = 2.0 * M_PI * ((double) i) / (double) size;
fft_tables->costbl[logm][i] = cos(theta);
fft_tables->negsintbl[logm][i] = -sin(theta);
}
}
}
void fft( FFT_Tables *fft_tables, double *xr, double *xi, int logm)
{
if (logm > MAXLOGM)
{
fprintf(stderr, "fft size too big\n");
exit(1);
}
if (logm < 1)
{
//printf("logm < 1\n");
return;
}
check_tables( fft_tables, logm);
reorder( fft_tables, xr, logm);
reorder( fft_tables, xi, logm);
fft_proc( xr, xi, fft_tables->costbl[logm], fft_tables->negsintbl[logm], 1 << logm );
}
void rfft( FFT_Tables *fft_tables, double *x, int logm)
{
double xi[1 << MAXLOGR];
if (logm > MAXLOGR)
{
fprintf(stderr, "rfft size too big\n");
exit(1);
}
memset(xi, 0, (1 << logm) * sizeof(xi[0]));
fft( fft_tables, x, xi, logm);
memcpy(x + (1 << (logm - 1)), xi, (1 << (logm - 1)) * sizeof(*x));
}
void ffti( FFT_Tables *fft_tables, double *xr, double *xi, int logm)
{
int i, size;
double fac;
double *xrp, *xip;
fft( fft_tables, xi, xr, logm);
size = 1 << logm;
fac = 1.0 / size;
xrp = xr;
xip = xi;
for (i = 0; i < size; i++)
{
*xrp++ *= fac;
*xip++ *= fac;
}
}
/*
$Log: fft.c,v $
Revision 1.11 2004/04/02 14:56:17 danchr
fix name clash w/ libavcodec: fft_init -> fft_initialize
bump version number to 1.24 beta
Revision 1.10 2003/11/16 05:02:51 stux
moved global tables from fft.c into hEncoder FFT_Tables. Add fft_init and fft_terminate, flowed through all necessary changes. This should remove at least one instance of a memory leak, and fix some thread-safety problems. Version update to 1.23.3
Revision 1.9 2003/09/07 16:48:01 knik
reduced arrays size
Revision 1.8 2002/11/23 17:32:54 knik
rfft: made xi a local variable
Revision 1.7 2002/08/21 16:52:25 knik
new simplier and faster fft routine and correct real fft
new real fft is just a complex fft wrapper so it is slower than optimal but
by surprise it seems to be at least as fast as the old buggy function
*/