📄 lsp.c
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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 1994-2002 *
* by the XIPHOPHORUS Company http://www.xiph.org/ *
* *
********************************************************************
function: LSP (also called LSF) conversion routines
last mod: $Id: lsp.c,v 1.22 2002/07/17 21:28:37 xiphmont Exp $
The LSP generation code is taken (with minimal modification and a
few bugfixes) from "On the Computation of the LSP Frequencies" by
Joseph Rothweiler <rothwlr@altavista.net>, available at:
http://www2.xtdl.com/~rothwlr/lsfpaper/lsfpage.html
********************************************************************/
/* Note that the lpc-lsp conversion finds the roots of polynomial with
an iterative root polisher (CACM algorithm 283). It *is* possible
to confuse this algorithm into not converging; that should only
happen with absurdly closely spaced roots (very sharp peaks in the
LPC f response) which in turn should be impossible in our use of
the code. If this *does* happen anyway, it's a bug in the floor
finder; find the cause of the confusion (probably a single bin
spike or accidental near-float-limit resolution problems) and
correct it. */
#include <math.h>
#include <string.h>
#include <stdlib.h>
#include "lsp.h"
#include "os.h"
#include "misc.h"
#include "lookup.h"
#include "scales.h"
/* three possible LSP to f curve functions; the exact computation
(float), a lookup based float implementation, and an integer
implementation. The float lookup is likely the optimal choice on
any machine with an FPU. The integer implementation is *not* fixed
point (due to the need for a large dynamic range and thus a
seperately tracked exponent) and thus much more complex than the
relatively simple float implementations. It's mostly for future
work on a fully fixed point implementation for processors like the
ARM family. */
/* undefine both for the 'old' but more precise implementation */
#define FLOAT_LOOKUP
#undef INT_LOOKUP
#ifdef FLOAT_LOOKUP
#include "lookup.c" /* catch this in the build system; we #include for
compilers (like gcc) that can't inline across
modules */
/* side effect: changes *lsp to cosines of lsp */
void vorbis_lsp_to_curve(float *curve,int *map,int n,int ln,float *lsp,int m,
float amp,float ampoffset){
int i;
float wdel=M_PI/ln;
vorbis_fpu_control fpu = 0;
vorbis_fpu_setround(&fpu);
for(i=0;i<m;i++)lsp[i]=vorbis_coslook(lsp[i]);
i=0;
while(i<n){
int k=map[i];
int qexp;
float p=0.7071067812f;
float q=0.7071067812f;
float w=vorbis_coslook(wdel*k);
float *ftmp=lsp;
int c=m>>1;
do{
q*=ftmp[0]-w;
p*=ftmp[1]-w;
ftmp+=2;
}while(--c);
if(m&1){
/* odd order filter; slightly assymetric */
/* the last coefficient */
q*=ftmp[0]-w;
q*=q;
p*=p*(1.f-w*w);
}else{
/* even order filter; still symmetric */
q*=q*(1.f+w);
p*=p*(1.f-w);
}
q=ogg_frexp(p+q,&qexp);
q=vorbis_fromdBlook(amp*
vorbis_invsqlook(q)*
vorbis_invsq2explook(qexp+m)-
ampoffset);
do{
curve[i++]*=q;
}while(map[i]==k);
}
vorbis_fpu_restore(fpu);
}
#else
#ifdef INT_LOOKUP
#include "lookup.c" /* catch this in the build system; we #include for
compilers (like gcc) that can't inline across
modules */
static int MLOOP_1[64]={
0,10,11,11, 12,12,12,12, 13,13,13,13, 13,13,13,13,
14,14,14,14, 14,14,14,14, 14,14,14,14, 14,14,14,14,
15,15,15,15, 15,15,15,15, 15,15,15,15, 15,15,15,15,
15,15,15,15, 15,15,15,15, 15,15,15,15, 15,15,15,15,
};
static int MLOOP_2[64]={
0,4,5,5, 6,6,6,6, 7,7,7,7, 7,7,7,7,
8,8,8,8, 8,8,8,8, 8,8,8,8, 8,8,8,8,
9,9,9,9, 9,9,9,9, 9,9,9,9, 9,9,9,9,
9,9,9,9, 9,9,9,9, 9,9,9,9, 9,9,9,9,
};
static int MLOOP_3[8]={0,1,2,2,3,3,3,3};
/* side effect: changes *lsp to cosines of lsp */
void vorbis_lsp_to_curve(float *curve,int *map,int n,int ln,float *lsp,int m,
float amp,float ampoffset){
/* 0 <= m < 256 */
/* set up for using all int later */
int i;
int ampoffseti=ogg_rint(ampoffset*4096.f);
int ampi=ogg_rint(amp*16.f);
ogg_int32_t *ilsp=alloca(m*sizeof(*ilsp));
for(i=0;i<m;i++)ilsp[i]=vorbis_coslook_i(lsp[i]/M_PI*65536.f+.5f);
i=0;
while(i<n){
int j,k=map[i];
ogg_uint32_t pi=46341; /* 2**-.5 in 0.16 */
ogg_uint32_t qi=46341;
int qexp=0,shift;
ogg_int32_t wi=vorbis_coslook_i(k*65536/ln);
qi*=labs(ilsp[0]-wi);
pi*=labs(ilsp[1]-wi);
for(j=3;j<m;j+=2){
if(!(shift=MLOOP_1[(pi|qi)>>25]))
if(!(shift=MLOOP_2[(pi|qi)>>19]))
shift=MLOOP_3[(pi|qi)>>16];
qi=(qi>>shift)*labs(ilsp[j-1]-wi);
pi=(pi>>shift)*labs(ilsp[j]-wi);
qexp+=shift;
}
if(!(shift=MLOOP_1[(pi|qi)>>25]))
if(!(shift=MLOOP_2[(pi|qi)>>19]))
shift=MLOOP_3[(pi|qi)>>16];
/* pi,qi normalized collectively, both tracked using qexp */
if(m&1){
/* odd order filter; slightly assymetric */
/* the last coefficient */
qi=(qi>>shift)*labs(ilsp[j-1]-wi);
pi=(pi>>shift)<<14;
qexp+=shift;
if(!(shift=MLOOP_1[(pi|qi)>>25]))
if(!(shift=MLOOP_2[(pi|qi)>>19]))
shift=MLOOP_3[(pi|qi)>>16];
pi>>=shift;
qi>>=shift;
qexp+=shift-14*((m+1)>>1);
pi=((pi*pi)>>16);
qi=((qi*qi)>>16);
qexp=qexp*2+m;
pi*=(1<<14)-((wi*wi)>>14);
qi+=pi>>14;
}else{
/* even order filter; still symmetric */
/* p*=p(1-w), q*=q(1+w), let normalization drift because it isn't
worth tracking step by step */
pi>>=shift;
qi>>=shift;
qexp+=shift-7*m;
pi=((pi*pi)>>16);
qi=((qi*qi)>>16);
qexp=qexp*2+m;
pi*=(1<<14)-wi;
qi*=(1<<14)+wi;
qi=(qi+pi)>>14;
}
/* we've let the normalization drift because it wasn't important;
however, for the lookup, things must be normalized again. We
need at most one right shift or a number of left shifts */
if(qi&0xffff0000){ /* checks for 1.xxxxxxxxxxxxxxxx */
qi>>=1; qexp++;
}else
while(qi && !(qi&0x8000)){ /* checks for 0.0xxxxxxxxxxxxxxx or less*/
qi<<=1; qexp--;
}
amp=vorbis_fromdBlook_i(ampi* /* n.4 */
vorbis_invsqlook_i(qi,qexp)-
/* m.8, m+n<=8 */
ampoffseti); /* 8.12[0] */
curve[i]*=amp;
while(map[++i]==k)curve[i]*=amp;
}
}
#else
/* old, nonoptimized but simple version for any poor sap who needs to
figure out what the hell this code does, or wants the other
fraction of a dB precision */
/* side effect: changes *lsp to cosines of lsp */
void vorbis_lsp_to_curve(float *curve,int *map,int n,int ln,float *lsp,int m,
float amp,float ampoffset){
int i;
float wdel=M_PI/ln;
for(i=0;i<m;i++)lsp[i]=2.f*ogg_cos(lsp[i]);
i=0;
while(i<n){
int j,k=map[i];
float p=.5f;
float q=.5f;
float w=2.f*ogg_cos(wdel*k);
for(j=1;j<m;j+=2){
q *= w-lsp[j-1];
p *= w-lsp[j];
}
if(j==m){
/* odd order filter; slightly assymetric */
/* the last coefficient */
q*=w-lsp[j-1];
p*=p*(4.f-w*w);
q*=q;
}else{
/* even order filter; still symmetric */
p*=p*(2.f-w);
q*=q*(2.f+w);
}
q=fromdB(amp/sqrt(p+q)-ampoffset);
curve[i]*=q;
while(map[++i]==k)curve[i]*=q;
}
}
#endif
#endif
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