view layer/SpectrumLayer.cpp @ 959:2633a1d73e39

Address #1214, layer import produces wrong layer type. We needed a more principled approach to making sure the format gets updated properly and the dialog elements are consistent (basically separating making the dialog elements consistent from subsequently updating the format). This change should provide that, though there may be gotchas still.

/* -*- c-basic-offset: 4 indent-tabs-mode: nil -*-  vi:set ts=8 sts=4 sw=4: */

/*
    Sonic Visualiser
    An audio file viewer and annotation editor.
    Centre for Digital Music, Queen Mary, University of London.
    This file copyright 2006-2007 QMUL.
    
    This program is free software; you can redistribute it and/or
    modify it under the terms of the GNU General Public License as
    published by the Free Software Foundation; either version 2 of the
    License, or (at your option) any later version.  See the file
    COPYING included with this distribution for more information.
*/

#include "SpectrumLayer.h"

#include "data/model/FFTModel.h"
#include "view/View.h"
#include "base/AudioLevel.h"
#include "base/Preferences.h"
#include "base/RangeMapper.h"
#include "base/Pitch.h"
#include "ColourMapper.h"

#include <QPainter>
#include <QTextStream>


SpectrumLayer::SpectrumLayer() :
    m_originModel(0),
    m_channel(-1),
    m_channelSet(false),
    m_windowSize(4096),
    m_windowType(HanningWindow),
    m_windowHopLevel(3),
    m_showPeaks(false),
    m_newFFTNeeded(true)
{
    Preferences *prefs = Preferences::getInstance();
    connect(prefs, SIGNAL(propertyChanged(PropertyContainer::PropertyName)),
            this, SLOT(preferenceChanged(PropertyContainer::PropertyName)));
    setWindowType(prefs->getWindowType());

    setBinScale(LogBins);
}

SpectrumLayer::~SpectrumLayer()
{
    Model *m = const_cast<Model *>
        (static_cast<const Model *>(m_sliceableModel));
    if (m) m->aboutToDelete();
    m_sliceableModel = 0;
    delete m;
}

void
SpectrumLayer::setModel(DenseTimeValueModel *model)
{
    SVDEBUG << "SpectrumLayer::setModel(" << model << ") from " << m_originModel << endl;
    
    if (m_originModel == model) return;

    m_originModel = model;

    if (m_sliceableModel) {
        Model *m = const_cast<Model *>
            (static_cast<const Model *>(m_sliceableModel));
        m->aboutToDelete();
        setSliceableModel(0);
        delete m;
    }

    m_newFFTNeeded = true;

    emit layerParametersChanged();
}

void
SpectrumLayer::setChannel(int channel)
{
    SVDEBUG << "SpectrumLayer::setChannel(" << channel << ") from " << m_channel << endl;
    
    m_channelSet = true;
    
    if (m_channel == channel) return;

    m_channel = channel;

    m_newFFTNeeded = true;

    emit layerParametersChanged();
}

void
SpectrumLayer::setupFFT()
{
    if (m_sliceableModel) {
        Model *m = const_cast<Model *>
            (static_cast<const Model *>(m_sliceableModel));
        m->aboutToDelete();
        setSliceableModel(0);
        delete m;
    }

    if (!m_originModel) {
        return;
    }

    FFTModel *newFFT = new FFTModel(m_originModel,
                                    m_channel,
                                    m_windowType,
                                    m_windowSize,
                                    getWindowIncrement(),
                                    m_windowSize,
                                    false,
                                    StorageAdviser::Criteria
                                    (StorageAdviser::SpeedCritical |
                                     StorageAdviser::FrequentLookupLikely));

    setSliceableModel(newFFT);

    m_biasCurve.clear();
    for (int i = 0; i < m_windowSize; ++i) {
        m_biasCurve.push_back(1.f / (float(m_windowSize)/2.f));
    }

    newFFT->resume();

    m_newFFTNeeded = false;
}

Layer::PropertyList
SpectrumLayer::getProperties() const
{
    PropertyList list = SliceLayer::getProperties();
    list.push_back("Window Size");
    list.push_back("Window Increment");
    list.push_back("Show Peak Frequencies");
    return list;
}

QString
SpectrumLayer::getPropertyLabel(const PropertyName &name) const
{
    if (name == "Window Size") return tr("Window Size");
    if (name == "Window Increment") return tr("Window Overlap");
    if (name == "Show Peak Frequencies") return tr("Show Peak Frequencies");
    return SliceLayer::getPropertyLabel(name);
}

QString
SpectrumLayer::getPropertyIconName(const PropertyName &name) const
{
    if (name == "Show Peak Frequencies") return "show-peaks";
    return SliceLayer::getPropertyIconName(name);
}

Layer::PropertyType
SpectrumLayer::getPropertyType(const PropertyName &name) const
{
    if (name == "Window Size") return ValueProperty;
    if (name == "Window Increment") return ValueProperty;
    if (name == "Show Peak Frequencies") return ToggleProperty;
    return SliceLayer::getPropertyType(name);
}

QString
SpectrumLayer::getPropertyGroupName(const PropertyName &name) const
{
    if (name == "Window Size" ||
	name == "Window Increment") return tr("Window");
    if (name == "Show Peak Frequencies") return tr("Bins");
    return SliceLayer::getPropertyGroupName(name);
}

int
SpectrumLayer::getPropertyRangeAndValue(const PropertyName &name,
                                        int *min, int *max, int *deflt) const
{
    int val = 0;

    int garbage0, garbage1, garbage2;
    if (!min) min = &garbage0;
    if (!max) max = &garbage1;
    if (!deflt) deflt = &garbage2;

    if (name == "Window Size") {

	*min = 0;
	*max = 15;
        *deflt = 5;
	
	val = 0;
	int ws = m_windowSize;
	while (ws > 32) { ws >>= 1; val ++; }

    } else if (name == "Window Increment") {
	
	*min = 0;
	*max = 5;
        *deflt = 2;
	
        val = m_windowHopLevel;
    
    } else if (name == "Show Peak Frequencies") {

        return m_showPeaks ? 1 : 0;

    } else {

        val = SliceLayer::getPropertyRangeAndValue(name, min, max, deflt);
    }

    return val;
}

QString
SpectrumLayer::getPropertyValueLabel(const PropertyName &name,
				    int value) const
{
    if (name == "Window Size") {
	return QString("%1").arg(32 << value);
    }
    if (name == "Window Increment") {
	switch (value) {
	default:
	case 0: return tr("None");
	case 1: return tr("25 %");
	case 2: return tr("50 %");
	case 3: return tr("75 %");
	case 4: return tr("87.5 %");
	case 5: return tr("93.75 %");
	}
    }
    return SliceLayer::getPropertyValueLabel(name, value);
}

RangeMapper *
SpectrumLayer::getNewPropertyRangeMapper(const PropertyName &name) const
{
    return SliceLayer::getNewPropertyRangeMapper(name);
}

void
SpectrumLayer::setProperty(const PropertyName &name, int value)
{
    if (name == "Window Size") {
	setWindowSize(32 << value);
    } else if (name == "Window Increment") {
        setWindowHopLevel(value);
    } else if (name == "Show Peak Frequencies") {
        setShowPeaks(value ? true : false);
    } else {
        SliceLayer::setProperty(name, value);
    }
}

void
SpectrumLayer::setWindowSize(int ws)
{
    if (m_windowSize == ws) return;
    m_windowSize = ws;
    m_newFFTNeeded = true;
    emit layerParametersChanged();
}

void
SpectrumLayer::setWindowHopLevel(int v)
{
    if (m_windowHopLevel == v) return;
    m_windowHopLevel = v;
    m_newFFTNeeded = true;
    emit layerParametersChanged();
}

void
SpectrumLayer::setWindowType(WindowType w)
{
    if (m_windowType == w) return;
    m_windowType = w;
    m_newFFTNeeded = true;
    emit layerParametersChanged();
}

void
SpectrumLayer::setShowPeaks(bool show)
{
    if (m_showPeaks == show) return;
    m_showPeaks = show;
    emit layerParametersChanged();
}

void
SpectrumLayer::preferenceChanged(PropertyContainer::PropertyName name)
{
    if (name == "Window Type") {
        setWindowType(Preferences::getInstance()->getWindowType());
        return;
    }
}

bool
SpectrumLayer::getValueExtents(double &, double &, bool &, QString &) const
{
    return false;
}

double
SpectrumLayer::getXForBin(int bin, int totalBins, double w) const
{
    if (!m_sliceableModel) return SliceLayer::getXForBin(bin, totalBins, w);

    sv_samplerate_t sampleRate = m_sliceableModel->getSampleRate();
    double binfreq = (sampleRate * bin) / (totalBins * 2);
    
    return getXForFrequency(binfreq, w);
}

int
SpectrumLayer::getBinForX(double x, int totalBins, double w) const
{
    if (!m_sliceableModel) return SliceLayer::getBinForX(x, totalBins, w);

    sv_samplerate_t sampleRate = m_sliceableModel->getSampleRate();
    double binfreq = getFrequencyForX(x, w);

    return int((binfreq * totalBins * 2) / sampleRate);
}

double
SpectrumLayer::getFrequencyForX(double x, double w) const
{
    double freq = 0;
    if (!m_sliceableModel) return 0;

    sv_samplerate_t sampleRate = m_sliceableModel->getSampleRate();

    double maxfreq = double(sampleRate) / 2;

    switch (m_binScale) {

    case LinearBins:
        freq = ((x * maxfreq) / w);
        break;
        
    case LogBins:
        freq = pow(10.0, (x * log10(maxfreq)) / w);
        break;

    case InvertedLogBins:
        freq = maxfreq - pow(10.0, ((w - x) * log10(maxfreq)) / w);
        break;
    }

    return freq;
}

double
SpectrumLayer::getXForFrequency(double freq, double w) const
{
    double x = 0;
    if (!m_sliceableModel) return x;

    sv_samplerate_t sampleRate = m_sliceableModel->getSampleRate();

    double maxfreq = double(sampleRate) / 2;

    switch (m_binScale) {

    case LinearBins:
        x = (freq * w) / maxfreq;
        break;
        
    case LogBins:
        x = (log10(freq) * w) / log10(maxfreq);
        break;

    case InvertedLogBins:
        if (maxfreq == freq) x = w;
        else x = w - (log10(maxfreq - freq) * w) / log10(maxfreq);
        break;
    }

    return x;
}

bool
SpectrumLayer::getXScaleValue(const View *v, int x, 
                              double &value, QString &unit) const
{
    if (m_xorigins.find(v) == m_xorigins.end()) return false;
    int xorigin = m_xorigins.find(v)->second;
    value = getFrequencyForX(x - xorigin, v->width() - xorigin - 1);
    unit = "Hz";
    return true;
}

bool
SpectrumLayer::getYScaleValue(const View *v, int y,
                              double &value, QString &unit) const
{
    value = getValueForY(y, v);

    if (m_energyScale == dBScale || m_energyScale == MeterScale) {

        if (value > 0.0) {
            value = 10.0 * log10(value);
            if (value < m_threshold) value = m_threshold;
        } else value = m_threshold;

        unit = "dBV";

    } else {
        unit = "V";
    }

    return true;
}

bool
SpectrumLayer::getYScaleDifference(const View *v, int y0, int y1,
                                   double &diff, QString &unit) const
{
    bool rv = SliceLayer::getYScaleDifference(v, y0, y1, diff, unit);
    if (rv && (unit == "dBV")) unit = "dB";
    return rv;
}


bool
SpectrumLayer::getCrosshairExtents(View *v, QPainter &paint,
                                   QPoint cursorPos,
                                   std::vector<QRect> &extents) const
{
    QRect vertical(cursorPos.x(), cursorPos.y(), 1, v->height() - cursorPos.y());
    extents.push_back(vertical);

    QRect horizontal(0, cursorPos.y(), v->width(), 12);
    extents.push_back(horizontal);

    int hoffset = 2;
    if (m_binScale == LogBins) hoffset = 13;

    int sw = getVerticalScaleWidth(v, false, paint);

    QRect value(sw, cursorPos.y() - paint.fontMetrics().ascent() - 2,
                paint.fontMetrics().width("0.0000001 V") + 2,
                paint.fontMetrics().height());
    extents.push_back(value);

    QRect log(sw, cursorPos.y() + 2,
              paint.fontMetrics().width("-80.000 dBV") + 2,
              paint.fontMetrics().height());
    extents.push_back(log);

    QRect freq(cursorPos.x(),
               v->height() - paint.fontMetrics().height() - hoffset,
               paint.fontMetrics().width("123456 Hz") + 2,
               paint.fontMetrics().height());
    extents.push_back(freq);

    int w(paint.fontMetrics().width("C#10+50c") + 2);
    QRect pitch(cursorPos.x() - w,
                v->height() - paint.fontMetrics().height() - hoffset,
                w,
                paint.fontMetrics().height());
    extents.push_back(pitch);

    return true;
}

void
SpectrumLayer::paintCrosshairs(View *v, QPainter &paint,
                               QPoint cursorPos) const
{
    if (!m_sliceableModel) return;

    paint.save();
    QFont fn = paint.font();
    if (fn.pointSize() > 8) {
        fn.setPointSize(fn.pointSize() - 1);
        paint.setFont(fn);
    }

    ColourMapper mapper(m_colourMap, 0, 1);
    paint.setPen(mapper.getContrastingColour());

    int xorigin = m_xorigins[v];
    int w = v->width() - xorigin - 1;
    
    paint.drawLine(xorigin, cursorPos.y(), v->width(), cursorPos.y());
    paint.drawLine(cursorPos.x(), cursorPos.y(), cursorPos.x(), v->height());
    
    double fundamental = getFrequencyForX(cursorPos.x() - xorigin, w);

    int hoffset = 2;
    if (m_binScale == LogBins) hoffset = 13;

    v->drawVisibleText(paint,
                       cursorPos.x() + 2,
                       v->height() - 2 - hoffset,
                       QString("%1 Hz").arg(fundamental),
                       View::OutlinedText);

    if (Pitch::isFrequencyInMidiRange(fundamental)) {
        QString pitchLabel = Pitch::getPitchLabelForFrequency(fundamental);
        v->drawVisibleText(paint,
                           cursorPos.x() - paint.fontMetrics().width(pitchLabel) - 2,
                           v->height() - 2 - hoffset,
                           pitchLabel,
                           View::OutlinedText);
    }

    double value = getValueForY(cursorPos.y(), v);
    double thresh = m_threshold;
    double db = thresh;
    if (value > 0.0) db = 10.0 * log10(value);
    if (db < thresh) db = thresh;

    v->drawVisibleText(paint,
                       xorigin + 2,
                       cursorPos.y() - 2,
                       QString("%1 V").arg(value),
                       View::OutlinedText);

    v->drawVisibleText(paint,
                       xorigin + 2,
                       cursorPos.y() + 2 + paint.fontMetrics().ascent(),
                       QString("%1 dBV").arg(db),
                       View::OutlinedText);
    
    int harmonic = 2;

    while (harmonic < 100) {

        int hx = int(lrint(getXForFrequency(fundamental * harmonic, w)));
        hx += xorigin;

        if (hx < xorigin || hx > v->width()) break;
        
        int len = 7;

        if (harmonic % 2 == 0) {
            if (harmonic % 4 == 0) {
                len = 12;
            } else {
                len = 10;
            }
        }

        paint.drawLine(hx,
                       cursorPos.y(),
                       hx,
                       cursorPos.y() + len);

        ++harmonic;
    }

    paint.restore();
}

QString
SpectrumLayer::getFeatureDescription(View *v, QPoint &p) const
{
    if (!m_sliceableModel) return "";

    int minbin = 0, maxbin = 0, range = 0;
    QString genericDesc = SliceLayer::getFeatureDescriptionAux
        (v, p, false, minbin, maxbin, range);

    if (genericDesc == "") return "";

    double minvalue = 0.f;
    if (minbin < int(m_values.size())) minvalue = m_values[minbin];

    double maxvalue = minvalue;
    if (maxbin < int(m_values.size())) maxvalue = m_values[maxbin];
        
    if (minvalue > maxvalue) std::swap(minvalue, maxvalue);
    
    QString binstr;
    QString hzstr;
    int minfreq = int(lrint((minbin * m_sliceableModel->getSampleRate()) /
                            m_windowSize));
    int maxfreq = int(lrint((std::max(maxbin, minbin+1)
                             * m_sliceableModel->getSampleRate()) /
                            m_windowSize));

    if (maxbin != minbin) {
        binstr = tr("%1 - %2").arg(minbin+1).arg(maxbin+1);
    } else {
        binstr = QString("%1").arg(minbin+1);
    }
    if (minfreq != maxfreq) {
        hzstr = tr("%1 - %2 Hz").arg(minfreq).arg(maxfreq);
    } else {
        hzstr = tr("%1 Hz").arg(minfreq);
    }
    
    QString valuestr;
    if (maxvalue != minvalue) {
        valuestr = tr("%1 - %2").arg(minvalue).arg(maxvalue);
    } else {
        valuestr = QString("%1").arg(minvalue);
    }
    
    QString dbstr;
    double mindb = AudioLevel::multiplier_to_dB(minvalue);
    double maxdb = AudioLevel::multiplier_to_dB(maxvalue);
    QString mindbstr;
    QString maxdbstr;
    if (mindb == AudioLevel::DB_FLOOR) {
        mindbstr = tr("-Inf");
    } else {
        mindbstr = QString("%1").arg(lrint(mindb));
    }
    if (maxdb == AudioLevel::DB_FLOOR) {
        maxdbstr = tr("-Inf");
    } else {
        maxdbstr = QString("%1").arg(lrint(maxdb));
    }
    if (lrint(mindb) != lrint(maxdb)) {
        dbstr = tr("%1 - %2").arg(mindbstr).arg(maxdbstr);
    } else {
        dbstr = tr("%1").arg(mindbstr);
    }

    QString description;

    if (range > int(m_sliceableModel->getResolution())) {
        description = tr("%1\nBin:\t%2 (%3)\n%4 value:\t%5\ndB:\t%6")
            .arg(genericDesc)
            .arg(binstr)
            .arg(hzstr)
            .arg(m_samplingMode == NearestSample ? tr("First") :
                 m_samplingMode == SampleMean ? tr("Mean") : tr("Peak"))
            .arg(valuestr)
            .arg(dbstr);
    } else {
        description = tr("%1\nBin:\t%2 (%3)\nValue:\t%4\ndB:\t%5")
            .arg(genericDesc)
            .arg(binstr)
            .arg(hzstr)
            .arg(valuestr)
            .arg(dbstr);
    }
    
    return description;
}

void
SpectrumLayer::paint(View *v, QPainter &paint, QRect rect) const
{
    if (!m_originModel || !m_originModel->isOK() ||
        !m_originModel->isReady()) {
        SVDEBUG << "SpectrumLayer::paint: no origin model, or origin model not OK or not ready" << endl;
        return;
    }

    if (m_newFFTNeeded) {
        SVDEBUG << "SpectrumLayer::paint: new FFT needed, calling setupFFT" << endl;
        const_cast<SpectrumLayer *>(this)->setupFFT(); //ugh
    }

    FFTModel *fft = dynamic_cast<FFTModel *>
        (const_cast<DenseThreeDimensionalModel *>(m_sliceableModel));

    double thresh = (pow(10, -6) / m_gain) * (m_windowSize / 2.0); // -60dB adj

    int xorigin = getVerticalScaleWidth(v, false, paint) + 1;
    int w = v->width() - xorigin - 1;

    int pkh = 0;
//!!!    if (m_binScale == LogBins) {
        pkh = 10;
//!!!    }

    paint.save();

    if (fft && m_showPeaks) {

        // draw peak lines

//        SVDEBUG << "Showing peaks..." << endl;

        int col = int(v->getCentreFrame() / fft->getResolution());

        paint.save();
        paint.setRenderHint(QPainter::Antialiasing, false);
        paint.setPen(QColor(160, 160, 160)); //!!!

        int peakminbin = 0;
        int peakmaxbin = fft->getHeight() - 1;
        double peakmaxfreq = Pitch::getFrequencyForPitch(128);
        peakmaxbin = int(((peakmaxfreq * fft->getHeight() * 2) / fft->getSampleRate()));
        
        FFTModel::PeakSet peaks = fft->getPeakFrequencies
            (FFTModel::MajorPitchAdaptivePeaks, col, peakminbin, peakmaxbin);

        ColourMapper mapper(ColourMapper::BlackOnWhite, 0, 1);

        BiasCurve curve;
        getBiasCurve(curve);
        int cs = int(curve.size());

        std::vector<double> values;
        
        for (int bin = 0; bin < fft->getHeight(); ++bin) {
            double value = m_sliceableModel->getValueAt(col, bin);
            if (bin < cs) value *= curve[bin];
            values.push_back(value);
        }

        for (FFTModel::PeakSet::iterator i = peaks.begin();
             i != peaks.end(); ++i) {

            int bin = i->first;
            
//            cerr << "bin = " << bin << ", thresh = " << thresh << ", value = " << fft->getMagnitudeAt(col, bin) << endl;

            if (!fft->isOverThreshold(col, bin, float(thresh))) continue;
            
            double freq = i->second;
          
            int x = int(lrint(getXForFrequency(freq, w)));

            double norm = 0.f;
            (void)getYForValue(values[bin], v, norm); // don't need return value, need norm

            paint.setPen(mapper.map(norm));
            paint.drawLine(xorigin + x, 0, xorigin + x, v->height() - pkh - 1);
        }

        paint.restore();
    }
    
    SliceLayer::paint(v, paint, rect);

    //!!! All of this stuff relating to depicting frequencies
    //(keyboard, crosshairs etc) should be applicable to any slice
    //layer whose model has a vertical scale unit of Hz.  However, the
    //dense 3d model at the moment doesn't record its vertical scale
    //unit -- we need to fix that and hoist this code as appropriate.
    //Same really goes for any code in SpectrogramLayer that could be
    //relevant to Colour3DPlotLayer with unit Hz, but that's a bigger
    //proposition.

//    if (m_binScale == LogBins) {

//        int pkh = 10;
        int h = v->height();

        // piano keyboard
        //!!! should be in a new paintHorizontalScale()?
        // nice to have a piano keyboard class, of course

	paint.drawLine(xorigin, h - pkh - 1, w + xorigin, h - pkh - 1);

	int px = xorigin, ppx = xorigin;
	paint.setBrush(paint.pen().color());

	for (int i = 0; i < 128; ++i) {

	    double f = Pitch::getFrequencyForPitch(i);
	    int x = int(lrint(getXForFrequency(f, w)));
                           
            x += xorigin;

            if (i == 0) {
                px = ppx = x;
            }
            if (i == 1) {
                ppx = px - (x - px);
            }

            if (x < xorigin) {
                ppx = px;
                px = x;
                continue;
            }
                
            if (x > w) {
                break;
            }

	    int n = (i % 12);

            if (n == 1) {
                // C# -- fill the C from here
                QColor col = Qt::gray;
                if (i == 61) { // filling middle C
                    col = Qt::blue;
                    col = col.light(150);
                }
                if (x - ppx > 2) {
                    paint.fillRect((px + ppx) / 2 + 1,
                                   h - pkh,
                                   x - (px + ppx) / 2 - 1,
                                   pkh,
                                   col);
                }
            }

	    if (n == 1 || n == 3 || n == 6 || n == 8 || n == 10) {
		// black notes
		paint.drawLine(x, h - pkh, x, h);
		int rw = int(lrint(double(x - px) / 4) * 2);
		if (rw < 2) rw = 2;
		paint.drawRect(x - rw/2, h - pkh, rw, pkh/2);
	    } else if (n == 0 || n == 5) {
		// C, F
		if (px < w) {
		    paint.drawLine((x + px) / 2, h - pkh, (x + px) / 2, h);
		}
	    }

            ppx = px;
	    px = x;
	}
//    }

    paint.restore();
}

void
SpectrumLayer::getBiasCurve(BiasCurve &curve) const
{
    curve = m_biasCurve;
}

void
SpectrumLayer::toXml(QTextStream &stream,
                     QString indent, QString extraAttributes) const
{
    QString s = QString("windowSize=\"%1\" "
                        "windowHopLevel=\"%2\" "
                        "showPeaks=\"%3\" ")
        .arg(m_windowSize)
        .arg(m_windowHopLevel)
        .arg(m_showPeaks ? "true" : "false");

    SliceLayer::toXml(stream, indent, extraAttributes + " " + s);
}

void
SpectrumLayer::setProperties(const QXmlAttributes &attributes)
{
    SliceLayer::setProperties(attributes);

    bool ok = false;

    int windowSize = attributes.value("windowSize").toUInt(&ok);
    if (ok) setWindowSize(windowSize);

    int windowHopLevel = attributes.value("windowHopLevel").toUInt(&ok);
    if (ok) setWindowHopLevel(windowHopLevel);

    bool showPeaks = (attributes.value("showPeaks").trimmed() == "true");
    setShowPeaks(showPeaks);
}