c@410: /* -*- c-basic-offset: 4 indent-tabs-mode: nil -*-  vi:set ts=8 sts=4 sw=4: */
c@410: 
c@410: /*
c@410:     QM DSP Library
c@410: 
c@410:     Centre for Digital Music, Queen Mary, University of London.
c@410:     This file copyright 2005-2006 Christian Landone.and Matthew Davies.
c@309: 
c@309:     This program is free software; you can redistribute it and/or
c@309:     modify it under the terms of the GNU General Public License as
c@309:     published by the Free Software Foundation; either version 2 of the
c@309:     License, or (at your option) any later version.  See the file
c@410:     COPYING included with this distribution for more information.
c@410: */
c@410: 
c@410: #include "TempoTrack.h"
c@410: 
c@410: #include "maths/MathAliases.h"
c@410: #include "maths/MathUtilities.h"
c@410: 
c@410: #include <iostream>
c@410: 
c@410: #include <cassert>
cannam@490: #include <cmath>
cannam@492: #include <cstdlib>
c@410: 
cannam@493: using std::vector;
cannam@493: 
c@410: //#define DEBUG_TEMPO_TRACK 1
c@410: 
c@410: //////////////////////////////////////////////////////////////////////
c@410: // Construction/Destruction
c@410: //////////////////////////////////////////////////////////////////////
c@410: 
c@410: TempoTrack::TempoTrack( TTParams Params )
c@410: {
c@410:     m_tempoScratch = NULL;
c@410:     m_rawDFFrame = NULL;
c@410:     m_smoothDFFrame = NULL;
c@410:     m_frameACF = NULL;
cannam@479:     m_smoothRCF = NULL;
c@410: 
c@410:     m_dataLength = 0;
c@410:     m_winLength = 0;
c@410:     m_lagLength = 0;
c@410: 
c@410:     m_rayparam = 0;
c@410:     m_sigma = 0;
c@410:     m_DFWVNnorm = 0;
c@410: 
c@410:     initialise( Params );
c@410: }
c@410: 
c@410: TempoTrack::~TempoTrack()
c@410: {
c@410:     deInitialise();
c@410: }
c@410: 
c@410: void TempoTrack::initialise( TTParams Params )
cannam@479: {       
c@410:     m_winLength = Params.winLength;
c@410:     m_lagLength = Params.lagLength;
c@410: 
cannam@479:     m_rayparam   = 43.0;
c@410:     m_sigma = sqrt(3.9017);
c@410:     m_DFWVNnorm = exp( ( log( 2.0 ) / m_rayparam ) * ( m_winLength + 2 ) );
c@410: 
c@410:     m_rawDFFrame = new double[ m_winLength ];
c@410:     m_smoothDFFrame = new double[ m_winLength ];
c@410:     m_frameACF = new double[ m_winLength ];
c@410:     m_tempoScratch = new double[ m_lagLength ];
cannam@479:     m_smoothRCF = new double[ m_lagLength ];
c@410: 
c@410:     m_DFFramer.configure( m_winLength, m_lagLength );
cannam@479:         
c@410:     m_DFPParams.length = m_winLength;
c@410:     m_DFPParams.AlphaNormParam = Params.alpha;
c@410:     m_DFPParams.LPOrd = Params.LPOrd;
c@410:     m_DFPParams.LPACoeffs = Params.LPACoeffs;
c@410:     m_DFPParams.LPBCoeffs = Params.LPBCoeffs;
c@410:     m_DFPParams.winPre = Params.WinT.pre;
c@410:     m_DFPParams.winPost = Params.WinT.post;
c@410:     m_DFPParams.isMedianPositive = true;
cannam@479:         
c@410:     m_DFConditioning = new DFProcess( m_DFPParams );
c@410: 
cannam@479:     // these are parameters for smoothing m_tempoScratch
c@410:     m_RCFPParams.length = m_lagLength;
c@410:     m_RCFPParams.AlphaNormParam = Params.alpha;
c@410:     m_RCFPParams.LPOrd = Params.LPOrd;
c@410:     m_RCFPParams.LPACoeffs = Params.LPACoeffs;
c@410:     m_RCFPParams.LPBCoeffs = Params.LPBCoeffs;
c@410:     m_RCFPParams.winPre = Params.WinT.pre;
c@410:     m_RCFPParams.winPost = Params.WinT.post;
c@410:     m_RCFPParams.isMedianPositive = true;
c@410: 
c@410:     m_RCFConditioning = new DFProcess( m_RCFPParams );
c@410: }
c@410: 
c@410: void TempoTrack::deInitialise()
cannam@479: {       
c@410:     delete [] m_rawDFFrame;
c@410:     delete [] m_smoothDFFrame;
cannam@479:     delete [] m_smoothRCF;  
c@410:     delete [] m_frameACF;
c@410:     delete [] m_tempoScratch;
c@410:     delete m_DFConditioning;
cannam@479:     delete m_RCFConditioning;
c@410: }
c@410: 
c@414: void TempoTrack::createCombFilter(double* Filter, int winLength, int /* TSig */, double beatLag)
c@410: {
c@414:     int i;
c@410: 
cannam@479:     if( beatLag == 0 ) {
cannam@479:         for( i = 0; i < winLength; i++ ) {    
cannam@479:             Filter[ i ] =
cannam@479:                 ( ( i + 1 ) / pow( m_rayparam, 2.0) ) *
cannam@479:                 exp( ( -pow(( i + 1 ),2.0 ) /
cannam@479:                        ( 2.0 * pow( m_rayparam, 2.0))));
cannam@479:         }
cannam@479:     } else {   
cannam@479:         m_sigma = beatLag/4;
cannam@479:         for( i = 0; i < winLength; i++ ) {
cannam@479:             double dlag = (double)(i+1) - beatLag;
cannam@479:             Filter[ i ] =  exp(-0.5 * pow(( dlag / m_sigma), 2.0) ) /
cannam@487:                 (sqrt(TWO_PI) * m_sigma);
cannam@479:         }
c@410:     }
c@410: }
c@410: 
c@410: double TempoTrack::tempoMM(double* ACF, double* weight, int tsig)
c@410: {
c@410:     double period = 0;
c@410:     double maxValRCF = 0.0;
c@414:     int maxIndexRCF = 0;
c@410: 
c@410:     double* pdPeaks;
c@410: 
c@414:     int maxIndexTemp;
c@414:     double maxValTemp;
c@414:     int count; 
cannam@479:         
c@414:     int numelem,i,j;
c@410:     int a, b;
c@410: 
cannam@479:     for( i = 0; i < m_lagLength; i++ ) {
cannam@479:         m_tempoScratch[ i ] = 0.0;
cannam@479:     }
c@410: 
cannam@479:     if( tsig == 0 ) {
cannam@479:         //if time sig is unknown, use metrically unbiased version of Filterbank
cannam@479:         numelem = 4;
cannam@479:     } else {
cannam@479:         numelem = tsig;
c@410:     }
c@410: 
c@410: #ifdef DEBUG_TEMPO_TRACK
c@410:     std::cerr << "tempoMM: m_winLength = " << m_winLength << ", m_lagLength = " << m_lagLength << ", numelem = " << numelem << std::endl;
c@410: #endif
c@410: 
cannam@479:     for(i=1;i<m_lagLength-1;i++) {
cannam@479:         //first and last output values are left intentionally as zero
cannam@479:         for (a=1;a<=numelem;a++) {
cannam@479:             for(b=(1-a);b<a;b++) {
cannam@479:                 if( tsig == 0 ) {                                       
cannam@479:                     m_tempoScratch[i] += ACF[a*(i+1)+b-1] * (1.0 / (2.0 * (double)a-1)) * weight[i];
cannam@479:                 } else {
cannam@479:                     m_tempoScratch[i] += ACF[a*(i+1)+b-1] * 1 * weight[i];
cannam@479:                 }
cannam@479:             }
cannam@479:         }
c@410:     }
c@410: 
c@410: 
cannam@479:     //////////////////////////////////////////////////
cannam@479:     // MODIFIED BEAT PERIOD EXTRACTION //////////////
cannam@479:     /////////////////////////////////////////////////
c@410: 
cannam@479:     // find smoothed version of RCF ( as applied to Detection Function)
cannam@479:     m_RCFConditioning->process( m_tempoScratch, m_smoothRCF);
c@410: 
cannam@479:     if (tsig != 0) { // i.e. in context dependent state
cannam@479: 
c@410: //     NOW FIND MAX INDEX OF ACFOUT
cannam@479:         for( i = 0; i < m_lagLength; i++) {
cannam@479:             if( m_tempoScratch[ i ] > maxValRCF) {
cannam@479:                 maxValRCF = m_tempoScratch[ i ];
cannam@479:                 maxIndexRCF = i;
cannam@479:             }
cannam@479:         }
cannam@479: 
cannam@479:     } else { // using rayleigh weighting
cannam@479: 
cannam@479:         vector <vector<double> > rcfMat;
cannam@479:         
cannam@479:         double sumRcf = 0.;
cannam@479:         
cannam@479:         double maxVal = 0.;
cannam@479:         // now find the two values which minimise rcfMat
cannam@479:         double minVal = 0.;
cannam@479:         int p_i = 1; // periodicity for row i;
cannam@479:         int p_j = 1; //periodicity for column j;
cannam@479:         
cannam@479:         for ( i=0; i<m_lagLength; i++) {
cannam@479:             m_tempoScratch[i] =m_smoothRCF[i];
cannam@479:         }       
cannam@479: 
cannam@479:         // normalise m_tempoScratch so that it sums to zero.
cannam@479:         for ( i=0; i<m_lagLength; i++) {
cannam@479:             sumRcf += m_tempoScratch[i];
cannam@479:         }       
cannam@479:         
cannam@479:         for( i=0; i<m_lagLength; i++) {
cannam@479:             m_tempoScratch[i] /= sumRcf;
cannam@479:         }       
cannam@479:         
cannam@479:         // create a matrix to store m_tempoScratchValues modified by log2 ratio
cannam@479:         for ( i=0; i<m_lagLength; i++) {
cannam@479:             rcfMat.push_back  ( vector<double>() ); // adds a new row...
cannam@479:         }
cannam@479:         
cannam@479:         for (i=0; i<m_lagLength; i++) {
cannam@479:             for (j=0; j<m_lagLength; j++) {
cannam@479:                 rcfMat[i].push_back (0.);
cannam@479:             }
cannam@479:         }
cannam@479:         
cannam@479:         // the 'i' and 'j' indices deliberately start from '1' and not '0'
cannam@479:         for ( i=1; i<m_lagLength; i++) {
cannam@479:             for (j=1; j<m_lagLength; j++) {
cannam@479:                 double log2PeriodRatio = log( static_cast<double>(i)/
cannam@479:                                               static_cast<double>(j) ) /
cannam@479:                     log(2.0);
cannam@479:                 rcfMat[i][j] = ( abs(1.0-abs(log2PeriodRatio)) );
cannam@479:                 rcfMat[i][j] += ( 0.01*( 1./(m_tempoScratch[i]+m_tempoScratch[j]) ) );
cannam@479:             }
cannam@479:         }
cannam@479:                 
cannam@479:         // set diagonal equal to maximum value in rcfMat 
cannam@479:         // we don't want to pick one strong middle peak - we need a combination of two peaks.
cannam@479:         
cannam@479:         for ( i=1; i<m_lagLength; i++) {
cannam@479:             for (j=1; j<m_lagLength; j++) {
cannam@479:                 if (rcfMat[i][j] > maxVal) {       
cannam@479:                     maxVal = rcfMat[i][j];
c@410:                 }
c@410:             }
cannam@479:         }
cannam@479:         
cannam@479:         for ( i=1; i<m_lagLength; i++) {
cannam@479:             rcfMat[i][i] = maxVal;
cannam@479:         }
cannam@479:         
cannam@479:         // now find the row and column number which minimise rcfMat
cannam@479:         minVal = maxVal;
cannam@479:                 
cannam@479:         for ( i=1; i<m_lagLength; i++) {
cannam@479:             for ( j=1; j<m_lagLength; j++) {
cannam@479:                 if (rcfMat[i][j] < minVal) {       
cannam@479:                     minVal = rcfMat[i][j];
cannam@479:                     p_i = i;
cannam@479:                     p_j = j;
cannam@479:                 }
cannam@479:             }
cannam@479:         }
cannam@479:         
cannam@479:         
cannam@479:         // initially choose p_j (arbitrary) - saves on an else statement
cannam@479:         int beatPeriod = p_j;
cannam@479:         if (m_tempoScratch[p_i] > m_tempoScratch[p_j]) {
cannam@479:             beatPeriod = p_i;
cannam@479:         }
cannam@479:                 
cannam@479:         // now write the output
cannam@479:         maxIndexRCF = static_cast<int>(beatPeriod);
cannam@479:     }
c@410: 
c@410: 
c@410:     double locked = 5168.f / maxIndexRCF;
c@410:     if (locked >= 30 && locked <= 180) {
c@410:         m_lockedTempo = locked;
c@410:     }
c@410: 
c@410: #ifdef DEBUG_TEMPO_TRACK
c@410:     std::cerr << "tempoMM: locked tempo = " << m_lockedTempo << std::endl;
c@410: #endif
c@410: 
cannam@479:     if( tsig == 0 ) {
cannam@479:         tsig = 4;
cannam@479:     }
c@410: 
c@410: #ifdef DEBUG_TEMPO_TRACK
cannam@479:     std::cerr << "tempoMM: maxIndexRCF = " << maxIndexRCF << std::endl;
c@410: #endif
cannam@479:         
cannam@479:     if( tsig == 4 ) {
cannam@479:         
c@410: #ifdef DEBUG_TEMPO_TRACK
c@410:         std::cerr << "tsig == 4" << std::endl;
c@410: #endif
c@410: 
cannam@479:         pdPeaks = new double[ 4 ];
cannam@479:         for( i = 0; i < 4; i++ ){ pdPeaks[ i ] = 0.0;}
c@410: 
cannam@479:         pdPeaks[ 0 ] = ( double )maxIndexRCF + 1;
c@410: 
cannam@479:         maxIndexTemp = 0;
cannam@479:         maxValTemp = 0.0;
cannam@479:         count = 0;
c@410: 
cannam@479:         for( i = (2 * maxIndexRCF + 1) - 1; i < (2 * maxIndexRCF + 1) + 2; i++ ) {
cannam@479:             if( ACF[ i ] > maxValTemp ) {
cannam@479:                 maxValTemp = ACF[ i ];
cannam@479:                 maxIndexTemp = count;
cannam@479:             }
cannam@479:             count++;
cannam@479:         }
cannam@479:         pdPeaks[ 1 ] = (double)( maxIndexTemp + 1 + ( (2 * maxIndexRCF + 1 ) - 2 ) + 1 )/2;
c@410: 
cannam@479:         maxIndexTemp = 0;
cannam@479:         maxValTemp = 0.0;
cannam@479:         count = 0;
c@410: 
cannam@479:         for( i = (3 * maxIndexRCF + 2 ) - 2; i < (3 * maxIndexRCF + 2 ) + 3; i++ ) {
cannam@479:             if( ACF[ i ] > maxValTemp ) {
cannam@479:                 maxValTemp = ACF[ i ];
cannam@479:                 maxIndexTemp = count;
cannam@479:             }
cannam@479:             count++;
cannam@479:         }
cannam@479:         pdPeaks[ 2 ] = (double)( maxIndexTemp + 1 + ( (3 * maxIndexRCF + 2) - 4 ) + 1 )/3;
c@410: 
cannam@479:         maxIndexTemp = 0;
cannam@479:         maxValTemp = 0.0;
cannam@479:         count = 0;
c@410: 
cannam@479:         for( i = ( 4 * maxIndexRCF + 3) - 3; i < ( 4 * maxIndexRCF + 3) + 4; i++ ) {
cannam@479:             if( ACF[ i ] > maxValTemp ) {
cannam@479:                 maxValTemp = ACF[ i ];
cannam@479:                 maxIndexTemp = count;
cannam@479:             }
cannam@479:             count++;
cannam@479:         }
c@410: 
cannam@479:         pdPeaks[ 3 ] = (double)( maxIndexTemp + 1 + ( (4 * maxIndexRCF + 3) - 9 ) + 1 )/4 ;
c@410: 
cannam@479: 
cannam@479:         period = MathUtilities::mean( pdPeaks, 4 );
cannam@479: 
cannam@479:     } else {
cannam@479:         
c@410: #ifdef DEBUG_TEMPO_TRACK
cannam@479:         std::cerr << "tsig != 4" << std::endl;
c@410: #endif
c@410: 
cannam@479:         pdPeaks = new double[ 3 ];
cannam@479:         for( i = 0; i < 3; i++ ) {
cannam@479:             pdPeaks[ i ] = 0.0;
cannam@479:         }
c@410: 
cannam@479:         pdPeaks[ 0 ] = ( double )maxIndexRCF + 1;
c@410: 
cannam@479:         maxIndexTemp = 0;
cannam@479:         maxValTemp = 0.0;
cannam@479:         count = 0;
c@410: 
cannam@479:         for( i = (2 * maxIndexRCF + 1) - 1; i < (2 * maxIndexRCF + 1) + 2; i++ ) {
cannam@479:             if( ACF[ i ] > maxValTemp ) {
cannam@479:                 maxValTemp = ACF[ i ];
cannam@479:                 maxIndexTemp = count;
cannam@479:             }
cannam@479:             count++;
cannam@479:         }
cannam@479:         pdPeaks[ 1 ] = (double)( maxIndexTemp + 1 + ( (2 * maxIndexRCF + 1 ) - 2 ) + 1 )/2;
c@410: 
cannam@479:         maxIndexTemp = 0;
cannam@479:         maxValTemp = 0.0;
cannam@479:         count = 0;
c@410: 
cannam@479:         for( i = (3 * maxIndexRCF + 2 ) - 2; i < (3 * maxIndexRCF + 2 ) + 3; i++ ) {
cannam@479:             if( ACF[ i ] > maxValTemp ) {
cannam@479:                 maxValTemp = ACF[ i ];
cannam@479:                 maxIndexTemp = count;
cannam@479:             }
cannam@479:             count++;
cannam@479:         }
cannam@479:         pdPeaks[ 2 ] = (double)( maxIndexTemp + 1 + ( (3 * maxIndexRCF + 2) - 4 ) + 1 )/3;
c@410: 
c@410: 
cannam@479:         period = MathUtilities::mean( pdPeaks, 3 );
c@410:     }
c@410: 
c@410:     delete [] pdPeaks;
c@410: 
c@410:     return period;
c@410: }
c@410: 
c@410: void TempoTrack::stepDetect( double* periodP, double* periodG, int currentIdx, int* flag )
c@410: {
c@410:     double stepthresh = 1 * 3.9017;
c@410: 
cannam@479:     if( *flag ) {
cannam@479:         if(abs(periodG[ currentIdx ] - periodP[ currentIdx ]) > stepthresh) {
cannam@479:             // do nuffin'
cannam@479:         }
cannam@479:     } else {
cannam@479:         if(fabs(periodG[ currentIdx ]-periodP[ currentIdx ]) > stepthresh) {
cannam@479:             *flag = 3;
cannam@479:         }
c@410:     }
c@410: }
c@410: 
c@410: void TempoTrack::constDetect( double* periodP, int currentIdx, int* flag )
c@410: {
c@410:     double constthresh = 2 * 3.9017;
c@410: 
cannam@479:     if( fabs( 2 * periodP[ currentIdx ] - periodP[ currentIdx - 1] - periodP[ currentIdx - 2] ) < constthresh) {
cannam@479:         *flag = 1;
cannam@479:     } else {
cannam@479:         *flag = 0;
c@410:     }
c@410: }
c@410: 
c@414: int TempoTrack::findMeter(double *ACF, int len, double period)
c@410: {
c@410:     int i;
c@410:     int p = (int)MathUtilities::round( period );
c@410:     int tsig;
c@410: 
c@410:     double Energy_3 = 0.0;
c@410:     double Energy_4 = 0.0;
c@410: 
c@410:     double temp3A = 0.0;
c@410:     double temp3B = 0.0;
c@410:     double temp4A = 0.0;
c@410:     double temp4B = 0.0;
c@410: 
c@410:     double* dbf = new double[ len ]; int t = 0;
c@414:     for( int u = 0; u < len; u++ ){ dbf[ u ] = 0.0; }
c@410: 
cannam@479:     if( (double)len < 6 * p + 2 ) {
cannam@479:         
cannam@479:         for( i = ( 3 * p - 2 ); i < ( 3 * p + 2 ) + 1; i++ ) {
cannam@479:             temp3A += ACF[ i ];
cannam@479:             dbf[ t++ ] = ACF[ i ];
cannam@479:         }
cannam@479:         
cannam@479:         for( i = ( 4 * p - 2 ); i < ( 4 * p + 2 ) + 1; i++ ) {
cannam@479:             temp4A += ACF[ i ];
cannam@479:         }
c@410: 
cannam@479:         Energy_3 = temp3A;
cannam@479:         Energy_4 = temp4A;
c@410: 
cannam@479:     } else {
cannam@479:         
cannam@479:         for( i = ( 3 * p - 2 ); i < ( 3 * p + 2 ) + 1; i++ ) {
cannam@479:             temp3A += ACF[ i ];
cannam@479:         }
cannam@479:         
cannam@479:         for( i = ( 4 * p - 2 ); i < ( 4 * p + 2 ) + 1; i++ ) {
cannam@479:             temp4A += ACF[ i ];
cannam@479:         }
c@410: 
cannam@479:         for( i = ( 6 * p - 2 ); i < ( 6 * p + 2 ) + 1; i++ ) {
cannam@479:             temp3B += ACF[ i ];
cannam@479:         }
cannam@479:         
cannam@479:         for( i = ( 2 * p - 2 ); i < ( 2 * p + 2 ) + 1; i++ ) {
cannam@479:             temp4B += ACF[ i ];
cannam@479:         }
cannam@479: 
cannam@479:         Energy_3 = temp3A + temp3B;
cannam@479:         Energy_4 = temp4A + temp4B;
c@410:     }
c@410: 
cannam@479:     if (Energy_3 > Energy_4) {
cannam@479:         tsig = 3;
cannam@479:     } else {
cannam@479:         tsig = 4;
c@410:     }
c@410: 
c@410:     return tsig;
c@410: }
c@410: 
c@414: void TempoTrack::createPhaseExtractor(double *Filter, int /* winLength */, double period, int fsp, int lastBeat)
cannam@479: {       
c@410:     int p = (int)MathUtilities::round( period );
c@410:     int predictedOffset = 0;
c@410: 
c@410: #ifdef DEBUG_TEMPO_TRACK
c@410:     std::cerr << "TempoTrack::createPhaseExtractor: period = " << period << ", p = " << p << std::endl;
c@410: #endif
c@410: 
c@410:     if (p > 10000) {
c@410:         std::cerr << "TempoTrack::createPhaseExtractor: WARNING! Highly implausible period value " << p << "!" << std::endl;
c@410:         period = 5168 / 120;
c@410:     }
c@410: 
c@410:     double* phaseScratch = new double[ p*2 + 2 ];
c@410:     for (int i = 0; i < p*2 + 2; ++i) phaseScratch[i] = 0.0;
c@410: 
cannam@479:         
cannam@479:     if ( lastBeat != 0 ) {
cannam@479:         
cannam@479:         lastBeat = (int)MathUtilities::round((double)lastBeat );///(double)winLength);
c@410: 
c@410:         predictedOffset = lastBeat + p - fsp;
c@410: 
cannam@479:         if (predictedOffset < 0) {
c@410:             lastBeat = 0;
c@410:         }
c@410:     }
c@410: 
cannam@479:     if ( lastBeat != 0 ) {
cannam@479:         
cannam@479:         int mu = p;
cannam@479:         double sigma = (double)p/8;
cannam@479:         double PhaseMin = 0.0;
cannam@479:         double PhaseMax = 0.0;
cannam@479:         int scratchLength = p*2;
cannam@479:         double temp = 0.0;
c@410: 
cannam@479:         for(  int i = 0; i < scratchLength; i++ ) {
cannam@487:             phaseScratch[ i ] = exp( -0.5 * pow( ( i - mu ) / sigma, 2 ) ) / ( sqrt(TWO_PI) *sigma );
cannam@479:         }
c@410: 
cannam@479:         MathUtilities::getFrameMinMax( phaseScratch, scratchLength, &PhaseMin, &PhaseMax );
cannam@479:                         
cannam@479:         for(int i = 0; i < scratchLength; i ++) {
cannam@479:             temp = phaseScratch[ i ];
cannam@479:             phaseScratch[ i ] = (temp - PhaseMin)/PhaseMax;
cannam@479:         }
c@410: 
c@410: #ifdef DEBUG_TEMPO_TRACK
c@410:         std::cerr << "predictedOffset = " << predictedOffset << std::endl;
c@410: #endif
c@410: 
cannam@479:         int index = 0;
cannam@479:         for (int i = p - ( predictedOffset - 1); i < p + ( p - predictedOffset) + 1; i++) {
c@410: #ifdef DEBUG_TEMPO_TRACK
c@410:             std::cerr << "assigning to filter index " << index << " (size = " << p*2 << ")" << " value " << phaseScratch[i] << " from scratch index " << i << std::endl;
c@410: #endif
cannam@479:             Filter[ index++ ] = phaseScratch[ i ];
cannam@479:         }
cannam@479:     } else {
cannam@479:         for( int i = 0; i < p; i ++) {
cannam@479:             Filter[ i ] = 1;
cannam@479:         }
c@410:     }
cannam@479:         
c@410:     delete [] phaseScratch;
c@410: }
c@410: 
c@414: int TempoTrack::phaseMM(double *DF, double *weighting, int winLength, double period)
c@410: {
c@410:     int alignment = 0;
c@410:     int p = (int)MathUtilities::round( period );
c@410: 
c@410:     double temp = 0.0;
c@410: 
c@410:     double* y = new double[ winLength ];
c@410:     double* align = new double[ p ];
c@410: 
cannam@479:     for( int i = 0; i < winLength; i++ ) {   
cannam@479:         y[ i ] = (double)( -i + winLength  )/(double)winLength;
cannam@479:         y[ i ] = pow(y [i ],2.0); // raise to power 2.
c@410:     }
c@410: 
cannam@479:     for( int o = 0; o < p; o++ ) { 
cannam@479:         temp = 0.0;
cannam@479:         for (int i = 1 + (o - 1); i < winLength; i += (p + 1)) {
cannam@479:             temp = temp + DF[ i ] * y[ i ]; 
cannam@479:         }
cannam@479:         align[ o ] = temp * weighting[ o ];       
c@410:     }
c@410: 
c@410: 
c@410:     double valTemp = 0.0;
cannam@479:     for(int i = 0; i < p; i++) {
cannam@479:         if( align[ i ] > valTemp ) {
cannam@479:             valTemp = align[ i ];
cannam@479:             alignment = i;
cannam@479:         }
c@410:     }
c@410: 
c@410:     delete [] y;
c@410:     delete [] align;
c@410: 
c@410:     return alignment;
c@410: }
c@410: 
c@414: int TempoTrack::beatPredict(int FSP0, double alignment, double period, int step )
c@410: {
c@410:     int beat = 0;
c@410: 
c@410:     int p = (int)MathUtilities::round( period );
c@410:     int align = (int)MathUtilities::round( alignment );
c@410:     int FSP = (int)MathUtilities::round( FSP0 );
c@410: 
c@410:     int FEP = FSP + ( step );
c@410: 
c@410:     beat = FSP + align;
c@410: 
c@410:     m_beats.push_back( beat );
c@410: 
cannam@479:     while( beat + p < FEP ) {
cannam@479:         beat += p;
cannam@479:         m_beats.push_back( beat );
c@410:     }
c@410: 
c@410:     return beat;
c@410: }
c@410: 
c@410: 
c@410: 
c@410: vector<int> TempoTrack::process( vector <double> DF,
c@410:                                  vector <double> *tempoReturn )
c@410: {
c@410:     m_dataLength = DF.size();
cannam@479:         
c@410:     m_lockedTempo = 0.0;
c@410: 
cannam@479:     double period = 0.0;
c@410:     int stepFlag = 0;
c@410:     int constFlag = 0;
c@410:     int FSP = 0;
c@410:     int tsig = 0;
c@410:     int lastBeat = 0;
c@410: 
c@410:     vector <double> causalDF;
c@410: 
c@410:     causalDF = DF;
c@410: 
c@410:     //Prepare Causal Extension DFData
c@414: //    int DFCLength = m_dataLength + m_winLength;
cannam@479:         
cannam@479:     for( int j = 0; j < m_winLength; j++ ) {
cannam@479:         causalDF.push_back( 0 );
c@410:     }
cannam@479:         
cannam@479:         
c@410:     double* RW = new double[ m_lagLength ];
c@414:     for (int clear = 0; clear < m_lagLength; clear++){ RW[ clear ] = 0.0;}
c@410: 
c@410:     double* GW = new double[ m_lagLength ];
c@414:     for (int clear = 0; clear < m_lagLength; clear++){ GW[ clear ] = 0.0;}
c@410: 
c@410:     double* PW = new double[ m_lagLength ];
c@414:     for(int clear = 0; clear < m_lagLength; clear++){ PW[ clear ] = 0.0;}
c@410: 
c@410:     m_DFFramer.setSource( &causalDF[0], m_dataLength );
c@410: 
c@414:     int TTFrames = m_DFFramer.getMaxNoFrames();
c@410: 
c@410: #ifdef DEBUG_TEMPO_TRACK
c@410:     std::cerr << "TTFrames = " << TTFrames << std::endl;
c@410: #endif
cannam@479:         
c@410:     double* periodP = new double[ TTFrames ];
c@414:     for(int clear = 0; clear < TTFrames; clear++){ periodP[ clear ] = 0.0;}
cannam@479:         
c@410:     double* periodG = new double[ TTFrames ];
c@414:     for(int clear = 0; clear < TTFrames; clear++){ periodG[ clear ] = 0.0;}
cannam@479:         
c@410:     double* alignment = new double[ TTFrames ];
c@414:     for(int clear = 0; clear < TTFrames; clear++){ alignment[ clear ] = 0.0;}
c@410: 
c@410:     m_beats.clear();
c@410: 
c@410:     createCombFilter( RW, m_lagLength, 0, 0 );
c@410: 
c@410:     int TTLoopIndex = 0;
c@410: 
cannam@479:     for( int i = 0; i < TTFrames; i++ ) {
cannam@479:         
cannam@479:         m_DFFramer.getFrame( m_rawDFFrame );
c@410: 
cannam@479:         m_DFConditioning->process( m_rawDFFrame, m_smoothDFFrame );
c@410: 
cannam@479:         m_correlator.doAutoUnBiased( m_smoothDFFrame, m_frameACF, m_winLength );
cannam@479:                 
cannam@479:         periodP[ TTLoopIndex ] = tempoMM( m_frameACF, RW, 0 );
c@410: 
cannam@479:         if( GW[ 0 ] != 0 ) {
cannam@479:             periodG[ TTLoopIndex ] = tempoMM( m_frameACF, GW, tsig );
cannam@479:         } else {
cannam@479:             periodG[ TTLoopIndex ] = 0.0;
cannam@479:         }
c@410: 
cannam@479:         stepDetect( periodP, periodG, TTLoopIndex, &stepFlag );
c@410: 
cannam@479:         if( stepFlag == 1) {
cannam@479:             constDetect( periodP, TTLoopIndex, &constFlag );
cannam@479:             stepFlag = 0;
cannam@479:         } else {
cannam@479:             stepFlag -= 1;
cannam@479:         }
c@410: 
cannam@479:         if( stepFlag < 0 ) {
cannam@479:             stepFlag = 0;
cannam@479:         }
c@410: 
cannam@479:         if( constFlag != 0) {
cannam@479:             
cannam@479:             tsig = findMeter( m_frameACF, m_winLength, periodP[ TTLoopIndex ] );
cannam@479:         
cannam@479:             createCombFilter( GW, m_lagLength, tsig, periodP[ TTLoopIndex ] );
cannam@479:                         
cannam@479:             periodG[ TTLoopIndex ] = tempoMM( m_frameACF, GW, tsig ); 
c@410: 
cannam@479:             period = periodG[ TTLoopIndex ];
c@410: 
c@410: #ifdef DEBUG_TEMPO_TRACK
c@410:             std::cerr << "TempoTrack::process: constFlag == " << constFlag << ", TTLoopIndex = " << TTLoopIndex << ", period from periodG = " << period << std::endl;
c@410: #endif
c@410: 
cannam@479:             createPhaseExtractor( PW, m_winLength, period, FSP, 0 ); 
c@410: 
cannam@479:             constFlag = 0;
c@410: 
cannam@479:         } else {
cannam@479:             
cannam@479:             if( GW[ 0 ] != 0 ) {
cannam@479:                 period = periodG[ TTLoopIndex ];
c@410: 
c@410: #ifdef DEBUG_TEMPO_TRACK
c@410:                 std::cerr << "TempoTrack::process: GW[0] == " << GW[0] << ", TTLoopIndex = " << TTLoopIndex << ", period from periodG = " << period << std::endl;
c@410: #endif
c@410: 
c@410:                 if (period > 10000) {
c@410:                     std::cerr << "TempoTrack::process: WARNING!  Highly implausible period value " << period << "!" << std::endl;
c@410:                     std::cerr << "periodG contains (of " << TTFrames << " frames): " << std::endl;
c@410:                     for (int i = 0; i < TTLoopIndex + 3 && i < TTFrames; ++i) {
c@410:                         std::cerr << i << " -> " << periodG[i] << std::endl;
c@410:                     }
c@410:                     std::cerr << "periodP contains (of " << TTFrames << " frames): " << std::endl;
c@410:                     for (int i = 0; i < TTLoopIndex + 3 && i < TTFrames; ++i) {
c@410:                         std::cerr << i << " -> " << periodP[i] << std::endl;
c@410:                     }
c@410:                     period = 5168 / 120;
c@410:                 }
c@410: 
cannam@479:                 createPhaseExtractor( PW, m_winLength, period, FSP, lastBeat ); 
c@410: 
cannam@479:             }
cannam@479:             else
cannam@479:             {
cannam@479:                 period = periodP[ TTLoopIndex ];
c@410: 
c@410: #ifdef DEBUG_TEMPO_TRACK
c@410:                 std::cerr << "TempoTrack::process: GW[0] == " << GW[0] << ", TTLoopIndex = " << TTLoopIndex << ", period from periodP = " << period << std::endl;
c@410: #endif
c@410: 
cannam@479:                 createPhaseExtractor( PW, m_winLength, period, FSP, 0 ); 
cannam@479:             }
cannam@479:         }
c@410: 
cannam@479:         alignment[ TTLoopIndex ] = phaseMM( m_rawDFFrame, PW, m_winLength, period ); 
c@410: 
cannam@479:         lastBeat = beatPredict(FSP, alignment[ TTLoopIndex ], period, m_lagLength );
c@410: 
cannam@479:         FSP += (m_lagLength);
c@410: 
c@410:         if (tempoReturn) tempoReturn->push_back(m_lockedTempo);
c@410: 
cannam@479:         TTLoopIndex++;
c@410:     }
c@410: 
c@410: 
c@410:     delete [] periodP;
c@410:     delete [] periodG;
c@410:     delete [] alignment;
c@410: 
c@410:     delete [] RW;
c@410:     delete [] GW;
c@410:     delete [] PW;
c@410: 
c@410:     return m_beats;
c@410: }
c@410: