/********************************************************************

 *                                                                  *

 * 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 1994-2001             *

 * by the Xiph.Org Foundation http://www.xiph.org/                  *

 *                                                                  *

 ********************************************************************

 function: train a VQ codebook 

 last mod: $Id: vqgen.c 16037 2009-05-26 21:10:58Z xiphmont $

 ********************************************************************/

/* This code is *not* part of libvorbis.  It is used to generate

   trained codebooks offline and then spit the results into a

   pregenerated codebook that is compiled into libvorbis.  It is an

   expensive (but good) algorithm.  Run it on big iron. */

/* There are so many optimizations to explore in *both* stages that

   considering the undertaking is almost withering.  For now, we brute

   force it all */

#include <stdlib.h>

#include <stdio.h>

#include <math.h>

#include <string.h>

#include "vqgen.h"

#include "bookutil.h"

/* Codebook generation happens in two steps: 

   1) Train the codebook with data collected from the encoder: We use

   one of a few error metrics (which represent the distance between a

   given data point and a candidate point in the training set) to

   divide the training set up into cells representing roughly equal

   probability of occurring. 

   2) Generate the codebook and auxiliary data from the trained data set

*/

/* Codebook training ****************************************************

 *

 * The basic idea here is that a VQ codebook is like an m-dimensional

 * foam with n bubbles.  The bubbles compete for space/volume and are

 * 'pressurized' [biased] according to some metric.  The basic alg

 * iterates through allowing the bubbles to compete for space until

 * they converge (if the damping is dome properly) on a steady-state

 * solution. Individual input points, collected from libvorbis, are

 * used to train the algorithm monte-carlo style.  */

/* internal helpers *****************************************************/

#define vN(data,i) (data+v->elements*i)

/* default metric; squared 'distance' from desired value. */

float _dist(vqgen *v,float *a, float *b){

  int i;

  int el=v->elements;

  float acc=0.f;

  for(i=0;i

    float val=(a[i]-b[i]);

    acc+=val*val;

  }

  return sqrt(acc);

}

float *_weight_null(vqgen *v,float *a){

  return a;

}

/* *must* be beefed up. */

void _vqgen_seed(vqgen *v){

  long i;

  for(i=0;i<v->entries;i++)

    memcpy(_now(v,i),_point(v,i),sizeof(float)*v->elements);

  v->seeded=1;

}

int directdsort(const void *a, const void *b){

  float av=*((float *)a);

  float bv=*((float *)b);

  return (av<bv)-(av>bv);

}

void vqgen_cellmetric(vqgen *v){

  int j,k;

  float min=-1.f,max=-1.f,mean=0.f,acc=0.f;

  long dup=0,unused=0;

 #ifdef NOISY

  int i;

   char buff[80];

   float spacings[v->entries];

   int count=0;

   FILE *cells;

   sprintf(buff,"cellspace%d.m",v->it);

   cells=fopen(buff,"w");

#endif

  /* minimum, maximum, cell spacing */

  for(j=0;j<v->entries;j++){

    float localmin=-1.;

    for(k=0;k<v->entries;k++){

      if(j!=k){

        float this=_dist(v,_now(v,j),_now(v,k));

        if(this>0){

          if(v->assigned[k] && (localmin==-1 || this

            localmin=this;

        }else{        

          if(k

            dup++;

            break;

          }

        }

      }

    }

    if(k<v->entries)continue;

    if(v->assigned[j]==0){

      unused++;

      continue;

    }

    localmin=v->max[j]+localmin/2; /* this gives us rough diameter */

    if(min==-1 || localmin

    if(max==-1 || localmin>max)max=localmin;

    mean+=localmin;

    acc++;

#ifdef NOISY

    spacings[count++]=localmin;

#endif

  }

  fprintf(stderr,"cell diameter: %.03g::%.03g::%.03g (%ld unused/%ld dup)\n",

          min,mean/acc,max,unused,dup);

#ifdef NOISY

  qsort(spacings,count,sizeof(float),directdsort);

  for(i=0;i

    fprintf(cells,"%g\n",spacings[i]);

  fclose(cells);

#endif            

}

/* External calls *******************************************************/

/* We have two forms of quantization; in the first, each vector

   element in the codebook entry is orthogonal.  Residues would use this

   quantization for example.

   In the second, we have a sequence of monotonically increasing

   values that we wish to quantize as deltas (to save space).  We

   still need to quantize so that absolute values are accurate. For

   example, LSP quantizes all absolute values, but the book encodes

   distance between values because each successive value is larger

   than the preceeding value.  Thus the desired quantibits apply to

   the encoded (delta) values, not abs positions. This requires minor

   additional encode-side trickery. */

void vqgen_quantize(vqgen *v,quant_meta *q){

  float maxdel;

  float mindel;

  float delta;

  float maxquant=((1<<q->quant)-1);

  int j,k;

  mindel=maxdel=_now(v,0)[0];

  for(j=0;j<v->entries;j++){

    float last=0.f;

    for(k=0;k<v->elements;k++){

      if(mindel>_now(v,j)[k]-last)mindel=_now(v,j)[k]-last;

      if(maxdel<_now(v,j)[k]-last)maxdel=_now(v,j)[k]-last;

      if(q->sequencep)last=_now(v,j)[k];

    }

  }

  /* first find the basic delta amount from the maximum span to be

     encoded.  Loosen the delta slightly to allow for additional error

     during sequence quantization */

  delta=(maxdel-mindel)/((1<<q->quant)-1.5f);

  q->min=_float32_pack(mindel);

  q->delta=_float32_pack(delta);

  mindel=_float32_unpack(q->min);

  delta=_float32_unpack(q->delta);

  for(j=0;j<v->entries;j++){

    float last=0;

    for(k=0;k<v->elements;k++){

      float val=_now(v,j)[k];

      float now=rint((val-last-mindel)/delta);

      _now(v,j)[k]=now;

      if(now<0){

        /* be paranoid; this should be impossible */

        fprintf(stderr,"fault; quantized value<0\n");

        exit(1);

      }

      if(now>maxquant){

        /* be paranoid; this should be impossible */

        fprintf(stderr,"fault; quantized value>max\n");

        exit(1);

      }

      if(q->sequencep)last=(now*delta)+mindel+last;

    }

  }

}

/* much easier :-).  Unlike in the codebook, we don't un-log log

   scales; we just make sure they're properly offset. */

void vqgen_unquantize(vqgen *v,quant_meta *q){

  long j,k;

  float mindel=_float32_unpack(q->min);

  float delta=_float32_unpack(q->delta);

  for(j=0;j<v->entries;j++){

    float last=0.f;

    for(k=0;k<v->elements;k++){

      float now=_now(v,j)[k];

      now=fabs(now)*delta+last+mindel;

      if(q->sequencep)last=now;

      _now(v,j)[k]=now;

    }

  }

}

void vqgen_init(vqgen *v,int elements,int aux,int entries,float mindist,

                float  (*metric)(vqgen *,float *, float *),

                float *(*weight)(vqgen *,float *),int centroid){

  memset(v,0,sizeof(vqgen));

  v->centroid=centroid;

  v->elements=elements;

  v->aux=aux;

  v->mindist=mindist;

  v->allocated=32768;

  v->pointlist=_ogg_malloc(v->allocated*(v->elements+v->aux)*sizeof(float));

  v->entries=entries;

  v->entrylist=_ogg_malloc(v->entries*v->elements*sizeof(float));

  v->assigned=_ogg_malloc(v->entries*sizeof(long));

  v->bias=_ogg_calloc(v->entries,sizeof(float));

  v->max=_ogg_calloc(v->entries,sizeof(float));

  if(metric)

    v->metric_func=metric;

  else

    v->metric_func=_dist;

  if(weight)

    v->weight_func=weight;

  else

    v->weight_func=_weight_null;

  v->asciipoints=tmpfile();

}

void vqgen_addpoint(vqgen *v, float *p,float *a){

  int k;

  for(k=0;k<v->elements;k++)

    fprintf(v->asciipoints,"%.12g\n",p[k]);

  for(k=0;k<v->aux;k++)

    fprintf(v->asciipoints,"%.12g\n",a[k]);

  if(v->points>=v->allocated){

    v->allocated*=2;

    v->pointlist=_ogg_realloc(v->pointlist,v->allocated*(v->elements+v->aux)*

                         sizeof(float));

  }

  memcpy(_point(v,v->points),p,sizeof(float)*v->elements);

  if(v->aux)memcpy(_point(v,v->points)+v->elements,a,sizeof(float)*v->aux);

  /* quantize to the density mesh if it's selected */

  if(v->mindist>0.f){

    /* quantize to the mesh */

    for(k=0;k<v->elements+v->aux;k++)

      _point(v,v->points)[k]=

        rint(_point(v,v->points)[k]/v->mindist)*v->mindist;

  }

  v->points++;

  if(!(v->points&0xff))spinnit("loading... ",v->points);

}

/* yes, not threadsafe.  These utils aren't */

static int sortit=0;

static int sortsize=0;

static int meshcomp(const void *a,const void *b){

  if(((sortit++)&0xfff)==0)spinnit("sorting mesh...",sortit);

  return(memcmp(a,b,sortsize));

}

void vqgen_sortmesh(vqgen *v){

  sortit=0;

  if(v->mindist>0.f){

    long i,march=1;

    /* sort to make uniqueness detection trivial */

    sortsize=(v->elements+v->aux)*sizeof(float);

    qsort(v->pointlist,v->points,sortsize,meshcomp);

    /* now march through and eliminate dupes */

    for(i=1;i<v->points;i++){

      if(memcmp(_point(v,i),_point(v,i-1),sortsize)){

        /* a new, unique entry.  march it down */

        if(i>march)memcpy(_point(v,march),_point(v,i),sortsize);

        march++;

      }

      spinnit("eliminating density... ",v->points-i);

    }

    /* we're done */

    fprintf(stderr,"\r%ld training points remining out of %ld"

            " after density mesh (%ld%%)\n",march,v->points,march*100/v->points);

    v->points=march;

  }

  v->sorted=1;

}

float vqgen_iterate(vqgen *v,int biasp){

  long   i,j,k;

  float fdesired;

  long  desired;

  long  desired2;

  float asserror=0.f;

  float meterror=0.f;

  float *new;

  float *new2;

  long   *nearcount;

  float *nearbias;

 #ifdef NOISY

   char buff[80];

   FILE *assig;

   FILE *bias;

   FILE *cells;

   sprintf(buff,"cells%d.m",v->it);

   cells=fopen(buff,"w");

   sprintf(buff,"assig%d.m",v->it);

   assig=fopen(buff,"w");

   sprintf(buff,"bias%d.m",v->it);

   bias=fopen(buff,"w");

 #endif

  if(v->entries<2){

    fprintf(stderr,"generation requires at least two entries\n");

    exit(1);

  }

  if(!v->sorted)vqgen_sortmesh(v);

  if(!v->seeded)_vqgen_seed(v);

  fdesired=(float)v->points/v->entries;

  desired=fdesired;

  desired2=desired*2;

  new=_ogg_malloc(sizeof(float)*v->entries*v->elements);

  new2=_ogg_malloc(sizeof(float)*v->entries*v->elements);

  nearcount=_ogg_malloc(v->entries*sizeof(long));

  nearbias=_ogg_malloc(v->entries*desired2*sizeof(float));

  /* fill in nearest points for entry biasing */

  /*memset(v->bias,0,sizeof(float)*v->entries);*/

  memset(nearcount,0,sizeof(long)*v->entries);

  memset(v->assigned,0,sizeof(long)*v->entries);

  if(biasp){

    for(i=0;i<v->points;i++){

      float *ppt=v->weight_func(v,_point(v,i));

      float firstmetric=v->metric_func(v,_now(v,0),ppt)+v->bias[0];

      float secondmetric=v->metric_func(v,_now(v,1),ppt)+v->bias[1];

      long   firstentry=0;

      long   secondentry=1;

      if(!(i&0xff))spinnit("biasing... ",v->points+v->points+v->entries-i);

      if(firstmetric>secondmetric){

        float temp=firstmetric;

        firstmetric=secondmetric;

        secondmetric=temp;

        firstentry=1;

        secondentry=0;

      }

      for(j=2;j<v->entries;j++){

        float thismetric=v->metric_func(v,_now(v,j),ppt)+v->bias[j];

        if(thismetric

          if(thismetric

            secondmetric=firstmetric;

            secondentry=firstentry;

            firstmetric=thismetric;

            firstentry=j;

          }else{

            secondmetric=thismetric;

            secondentry=j;

          }

        }

      }

      j=firstentry;

      for(j=0;j<v->entries;j++){

        float thismetric,localmetric;

        float *nearbiasptr=nearbias+desired2*j;

        long k=nearcount[j];

        localmetric=v->metric_func(v,_now(v,j),ppt);

        /* 'thismetric' is to be the bias value necessary in the current

           arrangement for entry j to capture point i */

        if(firstentry==j){

          /* use the secondary entry as the threshhold */

          thismetric=secondmetric-localmetric;

        }else{

          /* use the primary entry as the threshhold */

          thismetric=firstmetric-localmetric;

        }

        /* support the idea of 'minimum distance'... if we want the

           cells in a codebook to be roughly some minimum size (as with

           the low resolution residue books) */

        /* a cute two-stage delayed sorting hack */

        if(k

          nearbiasptr[k]=thismetric;

          k++;

          if(k==desired){

            spinnit("biasing... ",v->points+v->points+v->entries-i);

            qsort(nearbiasptr,desired,sizeof(float),directdsort);

          }

        }else if(thismetric>nearbiasptr[desired-1]){

          nearbiasptr[k]=thismetric;

          k++;

          if(k==desired2){

            spinnit("biasing... ",v->points+v->points+v->entries-i);

            qsort(nearbiasptr,desired2,sizeof(float),directdsort);

            k=desired;

          }

        }

        nearcount[j]=k;

      }

    }

    /* inflate/deflate */

    for(i=0;i<v->entries;i++){

      float *nearbiasptr=nearbias+desired2*i;

      spinnit("biasing... ",v->points+v->entries-i);

      /* due to the delayed sorting, we likely need to finish it off....*/

      if(nearcount[i]>desired)

        qsort(nearbiasptr,nearcount[i],sizeof(float),directdsort);

      v->bias[i]=nearbiasptr[desired-1];

    }

  }else{ 

    memset(v->bias,0,v->entries*sizeof(float));

  }

  /* Now assign with new bias and find new midpoints */

  for(i=0;i<v->points;i++){

    float *ppt=v->weight_func(v,_point(v,i));

    float firstmetric=v->metric_func(v,_now(v,0),ppt)+v->bias[0];

    long   firstentry=0;

    if(!(i&0xff))spinnit("centering... ",v->points-i);

    for(j=0;j<v->entries;j++){

      float thismetric=v->metric_func(v,_now(v,j),ppt)+v->bias[j];

      if(thismetric

        firstmetric=thismetric;

        firstentry=j;

      }

    }

    j=firstentry;

#ifdef NOISY

    fprintf(cells,"%g %g\n%g %g\n\n",

          _now(v,j)[0],_now(v,j)[1],

          ppt[0],ppt[1]);

#endif

    firstmetric-=v->bias[j];

    meterror+=firstmetric;

    if(v->centroid==0){

      /* set up midpoints for next iter */

      if(v->assigned[j]++){

        for(k=0;k<v->elements;k++)

          vN(new,j)[k]+=ppt[k];

        if(firstmetric>v->max[j])v->max[j]=firstmetric;

      }else{

        for(k=0;k<v->elements;k++)

          vN(new,j)[k]=ppt[k];

        v->max[j]=firstmetric;

      }

    }else{

      /* centroid */

      if(v->assigned[j]++){

        for(k=0;k<v->elements;k++){

          if(vN(new,j)[k]>ppt[k])vN(new,j)[k]=ppt[k];

          if(vN(new2,j)[k]

        }

        if(firstmetric>v->max[firstentry])v->max[j]=firstmetric;

      }else{

        for(k=0;k<v->elements;k++){

          vN(new,j)[k]=ppt[k];

          vN(new2,j)[k]=ppt[k];

        }

        v->max[firstentry]=firstmetric;

      }

    }

  }

  /* assign midpoints */

  for(j=0;j<v->entries;j++){

#ifdef NOISY

    fprintf(assig,"%ld\n",v->assigned[j]);

    fprintf(bias,"%g\n",v->bias[j]);

#endif

    asserror+=fabs(v->assigned[j]-fdesired);

    if(v->assigned[j]){

      if(v->centroid==0){

        for(k=0;k<v->elements;k++)

          _now(v,j)[k]=vN(new,j)[k]/v->assigned[j];

      }else{

        for(k=0;k<v->elements;k++)

          _now(v,j)[k]=(vN(new,j)[k]+vN(new2,j)[k])/2.f;

      }

    }

  }

  asserror/=(v->entries*fdesired);

  fprintf(stderr,"Pass #%d... ",v->it);

  fprintf(stderr,": dist %g(%g) metric error=%g \n",

          asserror,fdesired,meterror/v->points);

  v->it++;

  free(new);

  free(nearcount);

  free(nearbias);

#ifdef NOISY

  fclose(assig);

  fclose(bias);

  fclose(cells);

#endif

  return(asserror);

}