/*  ----------------------------------------------------------------	Speech Signal Processing Toolkit (SPTK): version 3.0			 SPTK Working Group		   Department of Computer Science		   Nagoya Institute of Technology				and    Interdisciplinary Graduate School of Science and Engineering		   Tokyo Institute of Technology		      Copyright (c) 1984-2000			All Rights Reserved.  Permission is hereby granted, free of charge, to use and  distribute this software and its documentation without  restriction, including without limitation the rights to use,  copy, modify, merge, publish, distribute, sublicense, and/or  sell copies of this work, and to permit persons to whom this  work is furnished to do so, subject to the following conditions:    1. The code must retain the above copyright notice, this list       of conditions and the following disclaimer.    2. Any modifications must be clearly marked as such.  NAGOYA INSTITUTE OF TECHNOLOGY, TOKYO INSITITUTE OF TECHNOLOGY,  SPTK WORKING GROUP, AND THE CONTRIBUTORS TO THIS WORK DISCLAIM  ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, INCLUDING ALL  IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO EVENT  SHALL NAGOYA INSTITUTE OF TECHNOLOGY, TOKYO INSITITUTE OF  TECHNOLOGY, SPTK WORKING GROUP, NOR THE CONTRIBUTORS BE LIABLE  FOR ANY SPECIAL, 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. ----------------------------------------------------------------*//********************************************************   $Id: _fft.c,v 1.2 2002/12/25 05:29:25 sako Exp $						NAME:							fft - fast fourier transform    	SYNOPSIS:							int	fft(x, y, m);												double	x[];	real part				double	y[];	imaginary part				int	m;	data size					return : success = 0			 fault	 = -1	Naohiro Isshiki 	Dec.1995    modified	********************************************************/#include <stdio.h>#include <math.h>#include <SPTK.h>double	*_sintbl = 0;int 	maxfftsize = 0;int fft(x, y, m)double	*x, *y;int	m;{	register int	j, lmx, li;	register double	*xp, *yp;	register double	*sinp,*cosp;	int	lf, lix,tblsize;	int	mv2, mm1;	double	t1, t2;	double  arg;	/**************	* RADIX-2 FFT *	**************/	if(checkm(m))		return(-1);	/***********************	* SIN table generation *	***********************/	if(_sintbl == 0 || maxfftsize < m ) {		tblsize=m-m/4+1;		arg=PI/m*2;		if (_sintbl != 0)			free(_sintbl);		_sintbl = sinp = dgetmem(tblsize);		*sinp++ = 0;		for(j = 1 ; j < tblsize ; j++)			*sinp++ = sin( arg * (double)j);		_sintbl[m/2] = 0;		maxfftsize = m;	}	lf = maxfftsize / m;	lmx = m;	for(;;) {		lix = lmx;  		lmx /= 2;		if(lmx <= 1) break;		sinp = _sintbl;		cosp = _sintbl + maxfftsize/4;		for(j = 0 ; j < lmx ; j++) {			xp = &x[j];			yp = &y[j];			for(li = lix ; li <= m ; li += lix) {				t1 = *(xp) - *(xp + lmx);				t2 = *(yp) - *(yp + lmx);				*(xp) += *(xp + lmx);				*(yp) += *(yp + lmx);				*(xp + lmx) = *cosp * t1 + *sinp * t2;				*(yp + lmx) = *cosp * t2 - *sinp * t1;				xp += lix;				yp += lix;			}			sinp += lf;			cosp += lf;		}		lf += lf;	}	xp = x;	yp = y;	for(li = m / 2; li--; xp += 2, yp += 2) {		t1 = *(xp) - *(xp + 1);		t2 = *(yp) - *(yp + 1);		*(xp) += *(xp + 1);		*(yp) += *(yp + 1);		*(xp + 1) = t1;		*(yp + 1) = t2;	}	/***************	* bit reversal *	***************/	j = 0;	xp = x;	yp = y;	mv2 = m / 2;	mm1 = m - 1; 	for(lmx = 0 ; lmx < mm1 ; lmx++) {		if((li = lmx - j) < 0) {			t1 = *(xp);			t2 = *(yp);			*(xp) = *(xp + li);			*(yp) = *(yp + li);			*(xp + li) = t1;			*(yp + li) = t2;		}		li = mv2;		while(li <= j) {			j -= li;			li /= 2;		}		j += li;		xp = x + j;		yp = y + j;	}	return(0);}int checkm(m)int	m;{	register int	k;	for(k = 4; k <= m; k <<= 1 ) {		if(k == m)			return(0);	}	fprintf(stderr, "fft : m must be a integer of power of 2\n");	return(-1);}