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+/********************************************************************
+ * *
+ * THIS FILE IS PART OF THE OggVorbis SOFTWARE CODEC SOURCE CODE. *
+ * USE, DISTRIBUTION AND REPRODUCTION OF THIS LIBRARY SOURCE IS *
+ * GOVERNED BY A BSD-STYLE SOURCE LICENSE INCLUDED WITH THIS SOURCE *
+ * IN 'COPYING'. PLEASE READ THESE TERMS BEFORE DISTRIBUTING. *
+ * *
+ * THE OggVorbis SOURCE CODE IS (C) COPYRIGHT 1994-2009 *
+ * by the Xiph.Org Foundation http://www.xiph.org/ *
+ * *
+ ********************************************************************
+
+ function: LPC low level routines
+ last mod: $Id: lpc.c 16227 2009-07-08 06:58:46Z xiphmont $
+
+ ********************************************************************/
+
+/* Some of these routines (autocorrelator, LPC coefficient estimator)
+ are derived from code written by Jutta Degener and Carsten Bormann;
+ thus we include their copyright below. The entirety of this file
+ is freely redistributable on the condition that both of these
+ copyright notices are preserved without modification. */
+
+/* Preserved Copyright: *********************************************/
+
+/* Copyright 1992, 1993, 1994 by Jutta Degener and Carsten Bormann,
+Technische Universita"t Berlin
+
+Any use of this software is permitted provided that this notice is not
+removed and that neither the authors nor the Technische Universita"t
+Berlin are deemed to have made any representations as to the
+suitability of this software for any purpose nor are held responsible
+for any defects of this software. THERE IS ABSOLUTELY NO WARRANTY FOR
+THIS SOFTWARE.
+
+As a matter of courtesy, the authors request to be informed about uses
+this software has found, about bugs in this software, and about any
+improvements that may be of general interest.
+
+Berlin, 28.11.1994
+Jutta Degener
+Carsten Bormann
+
+*********************************************************************/
+
+#include <stdlib.h>
+#include <string.h>
+#include <math.h>
+#include "os.h"
+#include "smallft.h"
+#include "lpc.h"
+#include "scales.h"
+#include "misc.h"
+
+/* Autocorrelation LPC coeff generation algorithm invented by
+ N. Levinson in 1947, modified by J. Durbin in 1959. */
+
+/* Input : n elements of time doamin data
+ Output: m lpc coefficients, excitation energy */
+
+float vorbis_lpc_from_data(float *data,float *lpci,int n,int m){
+ double *aut=alloca(sizeof(*aut)*(m+1));
+ double *lpc=alloca(sizeof(*lpc)*(m));
+ double error;
+ double epsilon;
+ int i,j;
+
+ /* autocorrelation, p+1 lag coefficients */
+ j=m+1;
+ while(j--){
+ double d=0; /* double needed for accumulator depth */
+ for(i=j;i<n;i++)d+=(double)data[i]*data[i-j];
+ aut[j]=d;
+ }
+
+ /* Generate lpc coefficients from autocorr values */
+
+ /* set our noise floor to about -100dB */
+ error=aut[0] * (1. + 1e-10);
+ epsilon=1e-9*aut[0]+1e-10;
+
+ for(i=0;i<m;i++){
+ double r= -aut[i+1];
+
+ if(error<epsilon){
+ memset(lpc+i,0,(m-i)*sizeof(*lpc));
+ goto done;
+ }
+
+ /* Sum up this iteration's reflection coefficient; note that in
+ Vorbis we don't save it. If anyone wants to recycle this code
+ and needs reflection coefficients, save the results of 'r' from
+ each iteration. */
+
+ for(j=0;j<i;j++)r-=lpc[j]*aut[i-j];
+ r/=error;
+
+ /* Update LPC coefficients and total error */
+
+ lpc[i]=r;
+ for(j=0;j<i/2;j++){
+ double tmp=lpc[j];
+
+ lpc[j]+=r*lpc[i-1-j];
+ lpc[i-1-j]+=r*tmp;
+ }
+ if(i&1)lpc[j]+=lpc[j]*r;
+
+ error*=1.-r*r;
+
+ }
+
+ done:
+
+ /* slightly damp the filter */
+ {
+ double g = .99;
+ double damp = g;
+ for(j=0;j<m;j++){
+ lpc[j]*=damp;
+ damp*=g;
+ }
+ }
+
+ for(j=0;j<m;j++)lpci[j]=(float)lpc[j];
+
+ /* we need the error value to know how big an impulse to hit the
+ filter with later */
+
+ return error;
+}
+
+void vorbis_lpc_predict(float *coeff,float *prime,int m,
+ float *data,long n){
+
+ /* in: coeff[0...m-1] LPC coefficients
+ prime[0...m-1] initial values (allocated size of n+m-1)
+ out: data[0...n-1] data samples */
+
+ long i,j,o,p;
+ float y;
+ float *work=alloca(sizeof(*work)*(m+n));
+
+ if(!prime)
+ for(i=0;i<m;i++)
+ work[i]=0.f;
+ else
+ for(i=0;i<m;i++)
+ work[i]=prime[i];
+
+ for(i=0;i<n;i++){
+ y=0;
+ o=i;
+ p=m;
+ for(j=0;j<m;j++)
+ y-=work[o++]*coeff[--p];
+
+ data[i]=work[o]=y;
+ }
+}