870 lines
20 KiB
C++
870 lines
20 KiB
C++
/* -*- c-basic-offset: 4 indent-tabs-mode: nil -*- vi:set ts=8 sts=4 sw=4: */
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/*
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QM DSP Library
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Centre for Digital Music, Queen Mary, University of London.
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This file copyright 2005-2006 Christian Landone.and Matthew Davies.
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This program is free software; you can redistribute it and/or
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modify it under the terms of the GNU General Public License as
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published by the Free Software Foundation; either version 2 of the
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License, or (at your option) any later version. See the file
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COPYING included with this distribution for more information.
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*/
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#include "TempoTrack.h"
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#include "maths/MathAliases.h"
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#include "maths/MathUtilities.h"
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#include <iostream>
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#include <cassert>
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//#define DEBUG_TEMPO_TRACK 1
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#define RAY43VAL
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//////////////////////////////////////////////////////////////////////
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// Construction/Destruction
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//////////////////////////////////////////////////////////////////////
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TempoTrack::TempoTrack( TTParams Params )
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{
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m_tempoScratch = NULL;
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m_rawDFFrame = NULL;
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m_smoothDFFrame = NULL;
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m_frameACF = NULL;
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m_smoothRCF = NULL;
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m_dataLength = 0;
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m_winLength = 0;
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m_lagLength = 0;
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m_rayparam = 0;
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m_sigma = 0;
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m_DFWVNnorm = 0;
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initialise( Params );
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}
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TempoTrack::~TempoTrack()
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{
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deInitialise();
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}
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void TempoTrack::initialise( TTParams Params )
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{
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m_winLength = Params.winLength;
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m_lagLength = Params.lagLength;
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m_rayparam = 43.0;
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m_sigma = sqrt(3.9017);
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m_DFWVNnorm = exp( ( log( 2.0 ) / m_rayparam ) * ( m_winLength + 2 ) );
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m_rawDFFrame = new double[ m_winLength ];
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m_smoothDFFrame = new double[ m_winLength ];
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m_frameACF = new double[ m_winLength ];
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m_tempoScratch = new double[ m_lagLength ];
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m_smoothRCF = new double[ m_lagLength ];
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unsigned int winPre = Params.WinT.pre;
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unsigned int winPost = Params.WinT.post;
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m_DFFramer.configure( m_winLength, m_lagLength );
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m_DFPParams.length = m_winLength;
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m_DFPParams.AlphaNormParam = Params.alpha;
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m_DFPParams.LPOrd = Params.LPOrd;
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m_DFPParams.LPACoeffs = Params.LPACoeffs;
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m_DFPParams.LPBCoeffs = Params.LPBCoeffs;
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m_DFPParams.winPre = Params.WinT.pre;
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m_DFPParams.winPost = Params.WinT.post;
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m_DFPParams.isMedianPositive = true;
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m_DFConditioning = new DFProcess( m_DFPParams );
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// these are parameters for smoothing m_tempoScratch
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m_RCFPParams.length = m_lagLength;
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m_RCFPParams.AlphaNormParam = Params.alpha;
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m_RCFPParams.LPOrd = Params.LPOrd;
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m_RCFPParams.LPACoeffs = Params.LPACoeffs;
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m_RCFPParams.LPBCoeffs = Params.LPBCoeffs;
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m_RCFPParams.winPre = Params.WinT.pre;
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m_RCFPParams.winPost = Params.WinT.post;
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m_RCFPParams.isMedianPositive = true;
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m_RCFConditioning = new DFProcess( m_RCFPParams );
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}
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void TempoTrack::deInitialise()
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{
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delete [] m_rawDFFrame;
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delete [] m_smoothDFFrame;
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delete [] m_smoothRCF;
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delete [] m_frameACF;
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delete [] m_tempoScratch;
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delete m_DFConditioning;
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delete m_RCFConditioning;
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}
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void TempoTrack::createCombFilter(double* Filter, unsigned int winLength, unsigned int TSig, double beatLag)
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{
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unsigned int i;
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if( beatLag == 0 )
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{
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for( i = 0; i < winLength; i++ )
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{
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Filter[ i ] = ( ( i + 1 ) / pow( m_rayparam, 2.0) ) * exp( ( -pow(( i + 1 ),2.0 ) / ( 2.0 * pow( m_rayparam, 2.0))));
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}
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}
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else
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{
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m_sigma = beatLag/4;
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for( i = 0; i < winLength; i++ )
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{
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double dlag = (double)(i+1) - beatLag;
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Filter[ i ] = exp(-0.5 * pow(( dlag / m_sigma), 2.0) ) / (sqrt( 2 * PI) * m_sigma);
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}
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}
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}
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double TempoTrack::tempoMM(double* ACF, double* weight, int tsig)
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{
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double period = 0;
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double maxValRCF = 0.0;
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unsigned int maxIndexRCF = 0;
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double* pdPeaks;
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unsigned int maxIndexTemp;
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double maxValTemp;
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unsigned int count;
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unsigned int numelem,i,j;
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int a, b;
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for( i = 0; i < m_lagLength; i++ )
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m_tempoScratch[ i ] = 0.0;
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if( tsig == 0 )
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{
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//if time sig is unknown, use metrically unbiased version of Filterbank
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numelem = 4;
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}
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else
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{
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numelem = tsig;
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}
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#ifdef DEBUG_TEMPO_TRACK
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std::cerr << "tempoMM: m_winLength = " << m_winLength << ", m_lagLength = " << m_lagLength << ", numelem = " << numelem << std::endl;
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#endif
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for(i=1;i<m_lagLength-1;i++)
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{
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//first and last output values are left intentionally as zero
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for (a=1;a<=numelem;a++)
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{
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for(b=(1-a);b<a;b++)
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{
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if( tsig == 0 )
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{
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m_tempoScratch[i] += ACF[a*(i+1)+b-1] * (1.0 / (2.0 * (double)a-1)) * weight[i];
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}
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else
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{
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m_tempoScratch[i] += ACF[a*(i+1)+b-1] * 1 * weight[i];
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}
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}
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}
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}
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//////////////////////////////////////////////////
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// MODIFIED BEAT PERIOD EXTRACTION //////////////
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/////////////////////////////////////////////////
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// find smoothed version of RCF ( as applied to Detection Function)
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m_RCFConditioning->process( m_tempoScratch, m_smoothRCF);
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if (tsig != 0) // i.e. in context dependent state
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{
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// NOW FIND MAX INDEX OF ACFOUT
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for( i = 0; i < m_lagLength; i++)
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{
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if( m_tempoScratch[ i ] > maxValRCF)
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{
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maxValRCF = m_tempoScratch[ i ];
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maxIndexRCF = i;
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}
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}
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}
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else // using rayleigh weighting
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{
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vector <vector<double> > rcfMat;
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double sumRcf = 0.;
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double maxVal = 0.;
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// now find the two values which minimise rcfMat
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double minVal = 0.;
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int p_i = 1; // periodicity for row i;
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int p_j = 1; //periodicity for column j;
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for ( i=0; i<m_lagLength; i++)
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{
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m_tempoScratch[i] =m_smoothRCF[i];
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}
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// normalise m_tempoScratch so that it sums to zero.
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for ( i=0; i<m_lagLength; i++)
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{
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sumRcf += m_tempoScratch[i];
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}
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for( i=0; i<m_lagLength; i++)
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{
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m_tempoScratch[i] /= sumRcf;
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}
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// create a matrix to store m_tempoScratchValues modified by log2 ratio
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for ( i=0; i<m_lagLength; i++)
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{
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rcfMat.push_back ( vector<double>() ); // adds a new row...
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}
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for (i=0; i<m_lagLength; i++)
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{
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for (j=0; j<m_lagLength; j++)
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{
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rcfMat[i].push_back (0.);
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}
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}
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// the 'i' and 'j' indices deliberately start from '1' and not '0'
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for ( i=1; i<m_lagLength; i++)
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{
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for (j=1; j<m_lagLength; j++)
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{
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double log2PeriodRatio = log( static_cast<double>(i)/static_cast<double>(j) ) / log(2.0);
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rcfMat[i][j] = ( abs(1.0-abs(log2PeriodRatio)) );
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rcfMat[i][j] += ( 0.01*( 1./(m_tempoScratch[i]+m_tempoScratch[j]) ) );
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}
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}
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// set diagonal equal to maximum value in rcfMat
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// we don't want to pick one strong middle peak - we need a combination of two peaks.
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for ( i=1; i<m_lagLength; i++)
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{
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for (j=1; j<m_lagLength; j++)
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{
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if (rcfMat[i][j] > maxVal)
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{
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maxVal = rcfMat[i][j];
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}
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}
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}
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for ( i=1; i<m_lagLength; i++)
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{
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rcfMat[i][i] = maxVal;
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}
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// now find the row and column number which minimise rcfMat
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minVal = maxVal;
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for ( i=1; i<m_lagLength; i++)
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{
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for ( j=1; j<m_lagLength; j++)
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{
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if (rcfMat[i][j] < minVal)
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{
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minVal = rcfMat[i][j];
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p_i = i;
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p_j = j;
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}
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}
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}
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// initially choose p_j (arbitrary) - saves on an else statement
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int beatPeriod = p_j;
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if (m_tempoScratch[p_i] > m_tempoScratch[p_j])
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{
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beatPeriod = p_i;
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}
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// now write the output
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maxIndexRCF = static_cast<int>(beatPeriod);
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}
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double locked = 5168.f / maxIndexRCF;
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if (locked >= 30 && locked <= 180) {
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m_lockedTempo = locked;
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}
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#ifdef DEBUG_TEMPO_TRACK
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std::cerr << "tempoMM: locked tempo = " << m_lockedTempo << std::endl;
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#endif
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if( tsig == 0 )
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tsig = 4;
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#ifdef DEBUG_TEMPO_TRACK
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std::cerr << "tempoMM: maxIndexRCF = " << maxIndexRCF << std::endl;
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#endif
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if( tsig == 4 )
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{
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#ifdef DEBUG_TEMPO_TRACK
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std::cerr << "tsig == 4" << std::endl;
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#endif
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pdPeaks = new double[ 4 ];
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for( i = 0; i < 4; i++ ){ pdPeaks[ i ] = 0.0;}
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pdPeaks[ 0 ] = ( double )maxIndexRCF + 1;
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maxIndexTemp = 0;
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maxValTemp = 0.0;
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count = 0;
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for( i = (2 * maxIndexRCF + 1) - 1; i < (2 * maxIndexRCF + 1) + 2; i++ )
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{
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if( ACF[ i ] > maxValTemp )
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{
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maxValTemp = ACF[ i ];
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maxIndexTemp = count;
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}
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count++;
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}
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pdPeaks[ 1 ] = (double)( maxIndexTemp + 1 + ( (2 * maxIndexRCF + 1 ) - 2 ) + 1 )/2;
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maxIndexTemp = 0;
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maxValTemp = 0.0;
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count = 0;
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for( i = (3 * maxIndexRCF + 2 ) - 2; i < (3 * maxIndexRCF + 2 ) + 3; i++ )
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{
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if( ACF[ i ] > maxValTemp )
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{
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maxValTemp = ACF[ i ];
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maxIndexTemp = count;
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}
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count++;
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}
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pdPeaks[ 2 ] = (double)( maxIndexTemp + 1 + ( (3 * maxIndexRCF + 2) - 4 ) + 1 )/3;
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maxIndexTemp = 0;
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maxValTemp = 0.0;
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count = 0;
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for( i = ( 4 * maxIndexRCF + 3) - 3; i < ( 4 * maxIndexRCF + 3) + 4; i++ )
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{
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if( ACF[ i ] > maxValTemp )
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{
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maxValTemp = ACF[ i ];
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maxIndexTemp = count;
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}
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count++;
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}
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pdPeaks[ 3 ] = (double)( maxIndexTemp + 1 + ( (4 * maxIndexRCF + 3) - 9 ) + 1 )/4 ;
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period = MathUtilities::mean( pdPeaks, 4 );
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}
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else
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{
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#ifdef DEBUG_TEMPO_TRACK
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std::cerr << "tsig != 4" << std::endl;
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#endif
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pdPeaks = new double[ 3 ];
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for( i = 0; i < 3; i++ ){ pdPeaks[ i ] = 0.0;}
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pdPeaks[ 0 ] = ( double )maxIndexRCF + 1;
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maxIndexTemp = 0;
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maxValTemp = 0.0;
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count = 0;
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for( i = (2 * maxIndexRCF + 1) - 1; i < (2 * maxIndexRCF + 1) + 2; i++ )
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{
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if( ACF[ i ] > maxValTemp )
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{
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maxValTemp = ACF[ i ];
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maxIndexTemp = count;
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}
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count++;
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}
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pdPeaks[ 1 ] = (double)( maxIndexTemp + 1 + ( (2 * maxIndexRCF + 1 ) - 2 ) + 1 )/2;
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maxIndexTemp = 0;
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maxValTemp = 0.0;
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count = 0;
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for( i = (3 * maxIndexRCF + 2 ) - 2; i < (3 * maxIndexRCF + 2 ) + 3; i++ )
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{
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if( ACF[ i ] > maxValTemp )
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{
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maxValTemp = ACF[ i ];
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maxIndexTemp = count;
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}
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count++;
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}
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pdPeaks[ 2 ] = (double)( maxIndexTemp + 1 + ( (3 * maxIndexRCF + 2) - 4 ) + 1 )/3;
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period = MathUtilities::mean( pdPeaks, 3 );
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}
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delete [] pdPeaks;
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return period;
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}
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void TempoTrack::stepDetect( double* periodP, double* periodG, int currentIdx, int* flag )
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{
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double stepthresh = 1 * 3.9017;
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if( *flag )
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{
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if(abs(periodG[ currentIdx ] - periodP[ currentIdx ]) > stepthresh)
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{
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// do nuffin'
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}
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}
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else
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{
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if(fabs(periodG[ currentIdx ]-periodP[ currentIdx ]) > stepthresh)
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{
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*flag = 3;
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}
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}
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}
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void TempoTrack::constDetect( double* periodP, int currentIdx, int* flag )
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{
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double constthresh = 2 * 3.9017;
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if( fabs( 2 * periodP[ currentIdx ] - periodP[ currentIdx - 1] - periodP[ currentIdx - 2] ) < constthresh)
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{
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*flag = 1;
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}
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else
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{
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*flag = 0;
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}
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}
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int TempoTrack::findMeter(double *ACF, unsigned int len, double period)
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{
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int i;
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int p = (int)MathUtilities::round( period );
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int tsig;
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double Energy_3 = 0.0;
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double Energy_4 = 0.0;
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double temp3A = 0.0;
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double temp3B = 0.0;
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double temp4A = 0.0;
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double temp4B = 0.0;
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double* dbf = new double[ len ]; int t = 0;
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for( unsigned int u = 0; u < len; u++ ){ dbf[ u ] = 0.0; }
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if( (double)len < 6 * p + 2 )
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{
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for( i = ( 3 * p - 2 ); i < ( 3 * p + 2 ) + 1; i++ )
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{
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temp3A += ACF[ i ];
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dbf[ t++ ] = ACF[ i ];
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}
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for( i = ( 4 * p - 2 ); i < ( 4 * p + 2 ) + 1; i++ )
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{
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temp4A += ACF[ i ];
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}
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Energy_3 = temp3A;
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Energy_4 = temp4A;
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}
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else
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{
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for( i = ( 3 * p - 2 ); i < ( 3 * p + 2 ) + 1; i++ )
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{
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temp3A += ACF[ i ];
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}
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for( i = ( 4 * p - 2 ); i < ( 4 * p + 2 ) + 1; i++ )
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{
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temp4A += ACF[ i ];
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}
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for( i = ( 6 * p - 2 ); i < ( 6 * p + 2 ) + 1; i++ )
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{
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temp3B += ACF[ i ];
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}
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for( i = ( 2 * p - 2 ); i < ( 2 * p + 2 ) + 1; i++ )
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{
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temp4B += ACF[ i ];
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}
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Energy_3 = temp3A + temp3B;
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Energy_4 = temp4A + temp4B;
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}
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if (Energy_3 > Energy_4)
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{
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tsig = 3;
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}
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else
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{
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tsig = 4;
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}
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return tsig;
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}
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void TempoTrack::createPhaseExtractor(double *Filter, unsigned int winLength, double period, unsigned int fsp, unsigned int lastBeat)
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{
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int p = (int)MathUtilities::round( period );
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int predictedOffset = 0;
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#ifdef DEBUG_TEMPO_TRACK
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std::cerr << "TempoTrack::createPhaseExtractor: period = " << period << ", p = " << p << std::endl;
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#endif
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if (p > 10000) {
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std::cerr << "TempoTrack::createPhaseExtractor: WARNING! Highly implausible period value " << p << "!" << std::endl;
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period = 5168 / 120;
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}
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double* phaseScratch = new double[ p*2 + 2 ];
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for (int i = 0; i < p*2 + 2; ++i) phaseScratch[i] = 0.0;
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if( lastBeat != 0 )
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{
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lastBeat = (int)MathUtilities::round((double)lastBeat );///(double)winLength);
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predictedOffset = lastBeat + p - fsp;
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if (predictedOffset < 0)
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{
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lastBeat = 0;
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}
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}
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if( lastBeat != 0 )
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{
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int mu = p;
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double sigma = (double)p/8;
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double PhaseMin = 0.0;
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double PhaseMax = 0.0;
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unsigned int scratchLength = p*2;
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double temp = 0.0;
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for( int i = 0; i < scratchLength; i++ )
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{
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phaseScratch[ i ] = exp( -0.5 * pow( ( i - mu ) / sigma, 2 ) ) / ( sqrt( 2*PI ) *sigma );
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}
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MathUtilities::getFrameMinMax( phaseScratch, scratchLength, &PhaseMin, &PhaseMax );
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for(int i = 0; i < scratchLength; i ++)
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{
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temp = phaseScratch[ i ];
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phaseScratch[ i ] = (temp - PhaseMin)/PhaseMax;
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}
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#ifdef DEBUG_TEMPO_TRACK
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std::cerr << "predictedOffset = " << predictedOffset << std::endl;
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#endif
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unsigned int index = 0;
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for (int i = p - ( predictedOffset - 1); i < p + ( p - predictedOffset) + 1; i++)
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{
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#ifdef DEBUG_TEMPO_TRACK
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std::cerr << "assigning to filter index " << index << " (size = " << p*2 << ")" << " value " << phaseScratch[i] << " from scratch index " << i << std::endl;
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#endif
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Filter[ index++ ] = phaseScratch[ i ];
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}
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}
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else
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{
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for( int i = 0; i < p; i ++)
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{
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Filter[ i ] = 1;
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}
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}
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delete [] phaseScratch;
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}
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int TempoTrack::phaseMM(double *DF, double *weighting, unsigned int winLength, double period)
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{
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int alignment = 0;
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int p = (int)MathUtilities::round( period );
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double temp = 0.0;
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double* y = new double[ winLength ];
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double* align = new double[ p ];
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for( int i = 0; i < winLength; i++ )
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{
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y[ i ] = (double)( -i + winLength )/(double)winLength;
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y[ i ] = pow(y [i ],2.0); // raise to power 2.
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}
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for( int o = 0; o < p; o++ )
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{
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temp = 0.0;
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for(int i = 1 + (o - 1); i< winLength; i += (p + 1))
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{
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temp = temp + DF[ i ] * y[ i ];
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}
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align[ o ] = temp * weighting[ o ];
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}
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double valTemp = 0.0;
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for(int i = 0; i < p; i++)
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{
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if( align[ i ] > valTemp )
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{
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valTemp = align[ i ];
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alignment = i;
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}
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}
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delete [] y;
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delete [] align;
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return alignment;
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}
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int TempoTrack::beatPredict(unsigned int FSP0, double alignment, double period, unsigned int step )
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{
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int beat = 0;
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int p = (int)MathUtilities::round( period );
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int align = (int)MathUtilities::round( alignment );
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int FSP = (int)MathUtilities::round( FSP0 );
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int FEP = FSP + ( step );
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beat = FSP + align;
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m_beats.push_back( beat );
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while( beat + p < FEP )
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{
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beat += p;
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m_beats.push_back( beat );
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}
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return beat;
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}
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vector<int> TempoTrack::process( vector <double> DF,
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vector <double> *tempoReturn )
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{
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m_dataLength = DF.size();
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m_lockedTempo = 0.0;
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double period = 0.0;
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int stepFlag = 0;
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int constFlag = 0;
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int FSP = 0;
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int tsig = 0;
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int lastBeat = 0;
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vector <double> causalDF;
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causalDF = DF;
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//Prepare Causal Extension DFData
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unsigned int DFCLength = m_dataLength + m_winLength;
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for( unsigned int j = 0; j < m_winLength; j++ )
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{
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causalDF.push_back( 0 );
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}
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double* RW = new double[ m_lagLength ];
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for( unsigned int clear = 0; clear < m_lagLength; clear++){ RW[ clear ] = 0.0;}
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double* GW = new double[ m_lagLength ];
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for(unsigned int clear = 0; clear < m_lagLength; clear++){ GW[ clear ] = 0.0;}
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double* PW = new double[ m_lagLength ];
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for(unsigned clear = 0; clear < m_lagLength; clear++){ PW[ clear ] = 0.0;}
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m_DFFramer.setSource( &causalDF[0], m_dataLength );
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unsigned int TTFrames = m_DFFramer.getMaxNoFrames();
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#ifdef DEBUG_TEMPO_TRACK
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std::cerr << "TTFrames = " << TTFrames << std::endl;
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#endif
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double* periodP = new double[ TTFrames ];
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for(unsigned clear = 0; clear < TTFrames; clear++){ periodP[ clear ] = 0.0;}
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double* periodG = new double[ TTFrames ];
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for(unsigned clear = 0; clear < TTFrames; clear++){ periodG[ clear ] = 0.0;}
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double* alignment = new double[ TTFrames ];
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for(unsigned clear = 0; clear < TTFrames; clear++){ alignment[ clear ] = 0.0;}
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m_beats.clear();
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createCombFilter( RW, m_lagLength, 0, 0 );
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int TTLoopIndex = 0;
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for( unsigned int i = 0; i < TTFrames; i++ )
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{
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m_DFFramer.getFrame( m_rawDFFrame );
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m_DFConditioning->process( m_rawDFFrame, m_smoothDFFrame );
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m_correlator.doAutoUnBiased( m_smoothDFFrame, m_frameACF, m_winLength );
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periodP[ TTLoopIndex ] = tempoMM( m_frameACF, RW, 0 );
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if( GW[ 0 ] != 0 )
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{
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periodG[ TTLoopIndex ] = tempoMM( m_frameACF, GW, tsig );
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}
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else
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{
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periodG[ TTLoopIndex ] = 0.0;
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}
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stepDetect( periodP, periodG, TTLoopIndex, &stepFlag );
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if( stepFlag == 1)
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{
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constDetect( periodP, TTLoopIndex, &constFlag );
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stepFlag = 0;
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}
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else
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{
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stepFlag -= 1;
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}
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if( stepFlag < 0 )
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{
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stepFlag = 0;
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}
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if( constFlag != 0)
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{
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tsig = findMeter( m_frameACF, m_winLength, periodP[ TTLoopIndex ] );
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createCombFilter( GW, m_lagLength, tsig, periodP[ TTLoopIndex ] );
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periodG[ TTLoopIndex ] = tempoMM( m_frameACF, GW, tsig );
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period = periodG[ TTLoopIndex ];
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#ifdef DEBUG_TEMPO_TRACK
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std::cerr << "TempoTrack::process: constFlag == " << constFlag << ", TTLoopIndex = " << TTLoopIndex << ", period from periodG = " << period << std::endl;
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#endif
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createPhaseExtractor( PW, m_winLength, period, FSP, 0 );
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constFlag = 0;
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}
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else
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{
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if( GW[ 0 ] != 0 )
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{
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period = periodG[ TTLoopIndex ];
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#ifdef DEBUG_TEMPO_TRACK
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std::cerr << "TempoTrack::process: GW[0] == " << GW[0] << ", TTLoopIndex = " << TTLoopIndex << ", period from periodG = " << period << std::endl;
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#endif
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if (period > 10000) {
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std::cerr << "TempoTrack::process: WARNING! Highly implausible period value " << period << "!" << std::endl;
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std::cerr << "periodG contains (of " << TTFrames << " frames): " << std::endl;
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for (int i = 0; i < TTLoopIndex + 3 && i < TTFrames; ++i) {
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std::cerr << i << " -> " << periodG[i] << std::endl;
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}
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std::cerr << "periodP contains (of " << TTFrames << " frames): " << std::endl;
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for (int i = 0; i < TTLoopIndex + 3 && i < TTFrames; ++i) {
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std::cerr << i << " -> " << periodP[i] << std::endl;
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}
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period = 5168 / 120;
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}
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createPhaseExtractor( PW, m_winLength, period, FSP, lastBeat );
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}
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else
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{
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period = periodP[ TTLoopIndex ];
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#ifdef DEBUG_TEMPO_TRACK
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std::cerr << "TempoTrack::process: GW[0] == " << GW[0] << ", TTLoopIndex = " << TTLoopIndex << ", period from periodP = " << period << std::endl;
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#endif
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createPhaseExtractor( PW, m_winLength, period, FSP, 0 );
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}
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}
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alignment[ TTLoopIndex ] = phaseMM( m_rawDFFrame, PW, m_winLength, period );
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lastBeat = beatPredict(FSP, alignment[ TTLoopIndex ], period, m_lagLength );
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FSP += (m_lagLength);
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if (tempoReturn) tempoReturn->push_back(m_lockedTempo);
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TTLoopIndex++;
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}
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delete [] periodP;
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delete [] periodG;
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delete [] alignment;
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delete [] RW;
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delete [] GW;
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delete [] PW;
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return m_beats;
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}
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