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+/* Copyright (C) 2005 Jean-Marc Valin, CSIRO, Christopher Montgomery
+   File: vorbis_psy.c
+
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions
+   are met:
+   
+   - Redistributions of source code must retain the above copyright
+   notice, this list of conditions and the following disclaimer.
+   
+   - Redistributions in binary form must reproduce the above copyright
+   notice, this list of conditions and the following disclaimer in the
+   documentation and/or other materials provided with the distribution.
+   
+   - Neither the name of the Xiph.org Foundation nor the names of its
+   contributors may be used to endorse or promote products derived from
+   this software without specific prior written permission.
+   
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+   ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+   LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+   A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE FOUNDATION OR
+   CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+   EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+   PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#ifdef HAVE_CONFIG_H
+#include "config.h"
+#endif
+
+#ifdef VORBIS_PSYCHO
+
+#include "arch.h"
+#include "smallft.h"
+#include "lpc.h"
+#include "vorbis_psy.h"
+
+#include <stdlib.h>
+#include <math.h>
+#include <string.h>
+
+/* psychoacoustic setup ********************************************/
+
+static VorbisPsyInfo example_tuning = {
+  
+  .5,.5,  
+  3,3,25,
+  
+  /*63     125     250     500      1k      2k      4k      8k     16k*/
+  // vorbis mode 4 style
+  //{-32,-32,-32,-32,-28,-24,-22,-20,-20, -20, -20, -8, -6, -6, -6, -6, -6},
+  { -4, -6, -6, -6, -6, -6, -6, -6, -8, -8,-10,-10, -8, -6, -4, -4, -2},
+  
+  {
+    0, 1, 2, 3, 4, 5, 5,  5,     /* 7dB */
+    6, 6, 6, 5, 4, 4, 4,  4,     /* 15dB */
+    4, 4, 5, 5, 5, 6, 6,  6,     /* 23dB */
+    7, 7, 7, 8, 8, 8, 9, 10,     /* 31dB */
+    11,12,13,14,15,16,17, 18,     /* 39dB */
+  }
+
+};
+
+
+
+/* there was no great place to put this.... */
+#include <stdio.h>
+static void _analysis_output(char *base,int i,float *v,int n,int bark,int dB){
+  int j;
+  FILE *of;
+  char buffer[80];
+
+  sprintf(buffer,"%s_%d.m",base,i);
+  of=fopen(buffer,"w");
+  
+  if(!of)perror("failed to open data dump file");
+  
+  for(j=0;j<n;j++){
+    if(bark){
+      float b=toBARK((4000.f*j/n)+.25);
+      fprintf(of,"%f ",b);
+    }else
+      fprintf(of,"%f ",(double)j);
+    
+    if(dB){
+      float val;
+      if(v[j]==0.)
+	val=-140.;
+      else
+	val=todB(v[j]);
+      fprintf(of,"%f\n",val);
+    }else{
+      fprintf(of,"%f\n",v[j]);
+    }
+  }
+  fclose(of);
+}
+
+static void bark_noise_hybridmp(int n,const long *b,
+                                const float *f,
+                                float *noise,
+                                const float offset,
+                                const int fixed){
+  
+  float *N=alloca(n*sizeof(*N));
+  float *X=alloca(n*sizeof(*N));
+  float *XX=alloca(n*sizeof(*N));
+  float *Y=alloca(n*sizeof(*N));
+  float *XY=alloca(n*sizeof(*N));
+
+  float tN, tX, tXX, tY, tXY;
+  int i;
+
+  int lo, hi;
+  float R, A, B, D;
+  float w, x, y;
+
+  tN = tX = tXX = tY = tXY = 0.f;
+
+  y = f[0] + offset;
+  if (y < 1.f) y = 1.f;
+
+  w = y * y * .5;
+    
+  tN += w;
+  tX += w;
+  tY += w * y;
+
+  N[0] = tN;
+  X[0] = tX;
+  XX[0] = tXX;
+  Y[0] = tY;
+  XY[0] = tXY;
+
+  for (i = 1, x = 1.f; i < n; i++, x += 1.f) {
+    
+    y = f[i] + offset;
+    if (y < 1.f) y = 1.f;
+
+    w = y * y;
+    
+    tN += w;
+    tX += w * x;
+    tXX += w * x * x;
+    tY += w * y;
+    tXY += w * x * y;
+
+    N[i] = tN;
+    X[i] = tX;
+    XX[i] = tXX;
+    Y[i] = tY;
+    XY[i] = tXY;
+  }
+  
+  for (i = 0, x = 0.f;; i++, x += 1.f) {
+    
+    lo = b[i] >> 16;
+    if( lo>=0 ) break;
+    hi = b[i] & 0xffff;
+    
+    tN = N[hi] + N[-lo];
+    tX = X[hi] - X[-lo];
+    tXX = XX[hi] + XX[-lo];
+    tY = Y[hi] + Y[-lo];    
+    tXY = XY[hi] - XY[-lo];
+    
+    A = tY * tXX - tX * tXY;
+    B = tN * tXY - tX * tY;
+    D = tN * tXX - tX * tX;
+    R = (A + x * B) / D;
+    if (R < 0.f)
+      R = 0.f;
+    
+    noise[i] = R - offset;
+  }
+  
+  for ( ;; i++, x += 1.f) {
+    
+    lo = b[i] >> 16;
+    hi = b[i] & 0xffff;
+    if(hi>=n)break;
+    
+    tN = N[hi] - N[lo];
+    tX = X[hi] - X[lo];
+    tXX = XX[hi] - XX[lo];
+    tY = Y[hi] - Y[lo];
+    tXY = XY[hi] - XY[lo];
+    
+    A = tY * tXX - tX * tXY;
+    B = tN * tXY - tX * tY;
+    D = tN * tXX - tX * tX;
+    R = (A + x * B) / D;
+    if (R < 0.f) R = 0.f;
+    
+    noise[i] = R - offset;
+  }
+  for ( ; i < n; i++, x += 1.f) {
+    
+    R = (A + x * B) / D;
+    if (R < 0.f) R = 0.f;
+    
+    noise[i] = R - offset;
+  }
+  
+  if (fixed <= 0) return;
+  
+  for (i = 0, x = 0.f;; i++, x += 1.f) {
+    hi = i + fixed / 2;
+    lo = hi - fixed;
+    if(lo>=0)break;
+
+    tN = N[hi] + N[-lo];
+    tX = X[hi] - X[-lo];
+    tXX = XX[hi] + XX[-lo];
+    tY = Y[hi] + Y[-lo];
+    tXY = XY[hi] - XY[-lo];
+    
+    
+    A = tY * tXX - tX * tXY;
+    B = tN * tXY - tX * tY;
+    D = tN * tXX - tX * tX;
+    R = (A + x * B) / D;
+
+    if (R - offset < noise[i]) noise[i] = R - offset;
+  }
+  for ( ;; i++, x += 1.f) {
+    
+    hi = i + fixed / 2;
+    lo = hi - fixed;
+    if(hi>=n)break;
+    
+    tN = N[hi] - N[lo];
+    tX = X[hi] - X[lo];
+    tXX = XX[hi] - XX[lo];
+    tY = Y[hi] - Y[lo];
+    tXY = XY[hi] - XY[lo];
+    
+    A = tY * tXX - tX * tXY;
+    B = tN * tXY - tX * tY;
+    D = tN * tXX - tX * tX;
+    R = (A + x * B) / D;
+    
+    if (R - offset < noise[i]) noise[i] = R - offset;
+  }
+  for ( ; i < n; i++, x += 1.f) {
+    R = (A + x * B) / D;
+    if (R - offset < noise[i]) noise[i] = R - offset;
+  }
+}
+
+static void _vp_noisemask(VorbisPsy *p,
+			  float *logfreq, 
+			  float *logmask){
+
+  int i,n=p->n/2;
+  float *work=alloca(n*sizeof(*work));
+
+  bark_noise_hybridmp(n,p->bark,logfreq,logmask,
+		      140.,-1);
+
+  for(i=0;i<n;i++)work[i]=logfreq[i]-logmask[i];
+
+  bark_noise_hybridmp(n,p->bark,work,logmask,0.,
+		      p->vi->noisewindowfixed);
+
+  for(i=0;i<n;i++)work[i]=logfreq[i]-work[i];
+  
+  {
+    static int seq=0;
+    
+    float work2[n];
+    for(i=0;i<n;i++){
+      work2[i]=logmask[i]+work[i];
+    }
+    
+    //_analysis_output("logfreq",seq,logfreq,n,0,0);
+    //_analysis_output("median",seq,work,n,0,0);
+    //_analysis_output("envelope",seq,work2,n,0,0);
+    seq++;
+  }
+
+  for(i=0;i<n;i++){
+    int dB=logmask[i]+.5;
+    if(dB>=NOISE_COMPAND_LEVELS)dB=NOISE_COMPAND_LEVELS-1;
+    if(dB<0)dB=0;
+    logmask[i]= work[i]+p->vi->noisecompand[dB]+p->noiseoffset[i];
+  }
+
+}
+
+VorbisPsy *vorbis_psy_init(int rate, int n)
+{
+  long i,j,lo=-99,hi=1;
+  VorbisPsy *p = speex_alloc(sizeof(VorbisPsy));
+  memset(p,0,sizeof(*p));
+  
+  p->n = n;
+  spx_drft_init(&p->lookup, n);
+  p->bark = speex_alloc(n*sizeof(*p->bark));
+  p->rate=rate;
+  p->vi = &example_tuning;
+
+  /* BH4 window */
+  p->window = speex_alloc(sizeof(*p->window)*n);
+  float a0 = .35875f;
+  float a1 = .48829f;
+  float a2 = .14128f;
+  float a3 = .01168f;
+  for(i=0;i<n;i++)
+    p->window[i] = //a0 - a1*cos(2.*M_PI/n*(i+.5)) + a2*cos(4.*M_PI/n*(i+.5)) - a3*cos(6.*M_PI/n*(i+.5));
+      sin((i+.5)/n * M_PI)*sin((i+.5)/n * M_PI);
+  /* bark scale lookups */
+  for(i=0;i<n;i++){
+    float bark=toBARK(rate/(2*n)*i); 
+    
+    for(;lo+p->vi->noisewindowlomin<i && 
+	  toBARK(rate/(2*n)*lo)<(bark-p->vi->noisewindowlo);lo++);
+    
+    for(;hi<=n && (hi<i+p->vi->noisewindowhimin ||
+	  toBARK(rate/(2*n)*hi)<(bark+p->vi->noisewindowhi));hi++);
+    
+    p->bark[i]=((lo-1)<<16)+(hi-1);
+
+  }
+
+  /* set up rolling noise median */
+  p->noiseoffset=speex_alloc(n*sizeof(*p->noiseoffset));
+  
+  for(i=0;i<n;i++){
+    float halfoc=toOC((i+.5)*rate/(2.*n))*2.;
+    int inthalfoc;
+    float del;
+    
+    if(halfoc<0)halfoc=0;
+    if(halfoc>=P_BANDS-1)halfoc=P_BANDS-1;
+    inthalfoc=(int)halfoc;
+    del=halfoc-inthalfoc;
+    
+    p->noiseoffset[i]=
+      p->vi->noiseoff[inthalfoc]*(1.-del) + 
+      p->vi->noiseoff[inthalfoc+1]*del;
+    
+  }
+#if 0
+  _analysis_output_always("noiseoff0",ls,p->noiseoffset,n,1,0,0);
+#endif
+
+   return p;
+}
+
+void vorbis_psy_destroy(VorbisPsy *p)
+{
+  if(p){
+    spx_drft_clear(&p->lookup);
+    if(p->bark)
+      speex_free(p->bark);
+    if(p->noiseoffset)
+      speex_free(p->noiseoffset);
+    if(p->window)
+      speex_free(p->window);
+    memset(p,0,sizeof(*p));
+    speex_free(p);
+  }
+}
+
+void compute_curve(VorbisPsy *psy, float *audio, float *curve)
+{
+   int i;
+   float work[psy->n];
+
+   float scale=4.f/psy->n;
+   float scale_dB;
+
+   scale_dB=todB(scale);
+  
+   /* window the PCM data; use a BH4 window, not vorbis */
+   for(i=0;i<psy->n;i++)
+     work[i]=audio[i] * psy->window[i];
+
+   {
+     static int seq=0;
+     
+     //_analysis_output("win",seq,work,psy->n,0,0);
+
+     seq++;
+   }
+
+    /* FFT yields more accurate tonal estimation (not phase sensitive) */
+    spx_drft_forward(&psy->lookup,work);
+
+    /* magnitudes */
+    work[0]=scale_dB+todB(work[0]);
+    for(i=1;i<psy->n-1;i+=2){
+      float temp = work[i]*work[i] + work[i+1]*work[i+1];
+      work[(i+1)>>1] = scale_dB+.5f * todB(temp);
+    }
+
+    /* derive a noise curve */
+    _vp_noisemask(psy,work,curve);
+#define SIDEL 12
+    for (i=0;i<SIDEL;i++)
+    {
+       curve[i]=curve[SIDEL];
+    }
+#define SIDEH 12
+    for (i=0;i<SIDEH;i++)
+    {
+       curve[(psy->n>>1)-i-1]=curve[(psy->n>>1)-SIDEH];
+    }
+    for(i=0;i<((psy->n)>>1);i++)
+       curve[i] = fromdB(1.2*curve[i]+.2*i);
+       //curve[i] = fromdB(0.8*curve[i]+.35*i);
+       //curve[i] = fromdB(0.9*curve[i])*pow(1.0*i+45,1.3);
+}
+
+/* Transform a masking curve (power spectrum) into a pole-zero filter */
+void curve_to_lpc(VorbisPsy *psy, float *curve, float *awk1, float *awk2, int ord)
+{
+   int i;
+   float ac[psy->n];
+   float tmp;
+   int len = psy->n >> 1;
+   for (i=0;i<2*len;i++)
+      ac[i] = 0;
+   for (i=1;i<len;i++)
+      ac[2*i-1] = curve[i];
+   ac[0] = curve[0];
+   ac[2*len-1] = curve[len-1];
+   
+   spx_drft_backward(&psy->lookup, ac);
+   _spx_lpc(awk1, ac, ord);
+   tmp = 1.;
+   for (i=0;i<ord;i++)
+   {
+      tmp *= .99;
+      awk1[i] *= tmp;
+   }
+#if 0
+   for (i=0;i<ord;i++)
+      awk2[i] = 0;
+#else
+   /* Use the second (awk2) filter to correct the first one */
+   for (i=0;i<2*len;i++)
+      ac[i] = 0;   
+   for (i=0;i<ord;i++)
+      ac[i+1] = awk1[i];
+   ac[0] = 1;
+   spx_drft_forward(&psy->lookup, ac);
+   /* Compute (power) response of awk1 (all zero) */
+   ac[0] *= ac[0];
+   for (i=1;i<len;i++)
+      ac[i] = ac[2*i-1]*ac[2*i-1] + ac[2*i]*ac[2*i];
+   ac[len] = ac[2*len-1]*ac[2*len-1];
+   /* Compute correction required */
+   for (i=0;i<len;i++)
+      curve[i] = 1. / (1e-6f+curve[i]*ac[i]);
+
+   for (i=0;i<2*len;i++)
+      ac[i] = 0;
+   for (i=1;i<len;i++)
+      ac[2*i-1] = curve[i];
+   ac[0] = curve[0];
+   ac[2*len-1] = curve[len-1];
+   
+   spx_drft_backward(&psy->lookup, ac);
+   _spx_lpc(awk2, ac, ord);
+   tmp = 1;
+   for (i=0;i<ord;i++)
+   {
+      tmp *= .99;
+      awk2[i] *= tmp;
+   }
+#endif
+}
+
+#if 0
+#include <stdio.h>
+#include <math.h>
+
+#define ORDER 10
+#define CURVE_SIZE 24
+
+int main()
+{
+   int i;
+   float curve[CURVE_SIZE];
+   float awk1[ORDER], awk2[ORDER];
+   for (i=0;i<CURVE_SIZE;i++)
+      scanf("%f ", &curve[i]);
+   for (i=0;i<CURVE_SIZE;i++)
+      curve[i] = pow(10.f, .1*curve[i]);
+   curve_to_lpc(curve, CURVE_SIZE, awk1, awk2, ORDER);
+   for (i=0;i<ORDER;i++)
+      printf("%f ", awk1[i]);
+   printf ("\n");
+   for (i=0;i<ORDER;i++)
+      printf("%f ", awk2[i]);
+   printf ("\n");
+   return 0;
+}
+#endif
+
+#endif