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#include "importmidi_beat.h"
#include "importmidi_chord.h"
#include "importmidi_fraction.h"
#include "importmidi_inner.h"
#include "importmidi_quant.h"
#include "importmidi_meter.h"
#include "importmidi_tempo.h"
#include "importmidi_operations.h"
#include "thirdparty/beatroot/BeatTracker.h"
#include "mscore/preferences.h"
#include "libmscore/mscore.h"
#include <functional>
namespace Ms {
namespace MidiBeat {
int beatsInBar(const ReducedFraction &barFraction)
{
const auto beatLen = Meter::beatLength(barFraction);
const auto div = barFraction / beatLen;
return div.numerator() / div.denominator();
}
double findChordSalience1(
const std::pair<const ReducedFraction, MidiChord> &chord,
double ticksPerSec)
{
ReducedFraction duration(0, 1);
int pitch = std::numeric_limits<int>::max();
int velocity = 0;
for (const MidiNote ¬e: chord.second.notes) {
if (note.offTime - chord.first > duration)
duration = note.offTime - chord.first;
if (note.pitch < pitch)
pitch = note.pitch;
velocity += note.velo;
}
const double durationInSeconds = duration.ticks() / ticksPerSec;
const double c4 = 84;
const int pmin = 48;
const int pmax = 72;
if (pitch < pmin)
pitch = pmin;
else if (pitch > pmax)
pitch = pmax;
if (velocity <= 0)
velocity = 1;
return durationInSeconds * (c4 - pitch) * log(velocity);
}
double findChordSalience2(
const std::pair<const ReducedFraction, MidiChord> &chord, double)
{
int velocity = 0;
for (const MidiNote ¬e: chord.second.notes) {
velocity += note.velo;
}
if (velocity <= 0)
velocity = 1;
return velocity;
}
::EventList prepareChordEvents(
const std::multimap<ReducedFraction, MidiChord> &chords,
const std::function<double(const std::pair<const ReducedFraction, MidiChord> &,
double)> &findChordSalience,
double ticksPerSec)
{
::EventList events;
double minSalience = std::numeric_limits<double>::max();
for (const auto &chord: chords) {
::Event e;
e.time = chord.first.ticks() / ticksPerSec;
e.salience = findChordSalience(chord, ticksPerSec);
if (e.salience < minSalience)
minSalience = e.salience;
events.push_back(e);
}
// all saliences should be non-negative
if (minSalience < 0) {
for (auto &e: events) {
e.salience -= minSalience;
}
}
return events;
}
ReducedFraction findLastChordTick(const std::multimap<ReducedFraction, MidiChord> &chords)
{
ReducedFraction lastOffTime(0, 1);
for (const auto &chord: chords) {
for (const auto ¬e: chord.second.notes) {
if (note.offTime > lastOffTime)
lastOffTime = note.offTime;
}
}
return lastOffTime;
}
// first beat time can be larger than first chord onTime
// so insert additional beats at the beginning to cover all chords
void addFirstBeats(
std::set<ReducedFraction> &beatSet,
const ReducedFraction &firstTick,
int beatsInBar,
int &addedBeatCount)
{
if (beatSet.empty())
return;
addedBeatCount = 0;
auto firstBeat = *beatSet.begin();
if (firstTick < firstBeat) {
if (beatSet.size() > 1) {
const auto beatLen = *std::next(beatSet.begin()) - firstBeat;
do {
firstBeat -= beatLen;
beatSet.insert(firstBeat);
++addedBeatCount;
} while (firstBeat > firstTick || addedBeatCount % beatsInBar);
}
}
}
// last beat time can be smaller than the last chord onTime
// so insert additional beats at the end to cover all chords
void addLastBeats(
std::set<ReducedFraction> &beatSet,
const ReducedFraction &lastTick,
int beatsInBar,
int &addedBeatCount)
{
if (beatSet.empty())
return;
addedBeatCount = 0;
// theoretically it's possible that every chord have off time
// at the end of the piece - so check all chords for max off time
auto lastBeat = *(std::prev(beatSet.end()));
if (lastTick > lastBeat) {
if (beatSet.size() > 1) {
const auto beatLen = lastBeat - *std::prev(beatSet.end(), 2);
do {
lastBeat += beatLen;
beatSet.insert(lastBeat);
++addedBeatCount;
} while (lastBeat < lastTick || addedBeatCount % beatsInBar);
}
}
}
MidiOperations::HumanBeatData prepareHumanBeatData(
const std::vector<double> &beatTimes,
const std::multimap<ReducedFraction, MidiChord> &chords,
double ticksPerSec,
int beatsInBar)
{
MidiOperations::HumanBeatData beatData;
if (chords.empty())
return beatData;
for (const auto &beatTime: beatTimes)
beatData.beatSet.insert(MidiTempo::time2Tick(beatTime, ticksPerSec));
beatData.firstChordTick = chords.begin()->first;
beatData.lastChordTick = findLastChordTick(chords);
addFirstBeats(beatData.beatSet, beatData.firstChordTick,
beatsInBar, beatData.addedFirstBeats);
addLastBeats(beatData.beatSet, beatData.lastChordTick,
beatsInBar, beatData.addedLastBeats);
return beatData;
}
double findMatchRank(const std::set<ReducedFraction> &beatSet,
const ::EventList &events,
const std::vector<int> &levels,
int beatsInBar,
double ticksPerSec)
{
std::map<ReducedFraction, double> saliences;
for (const auto &e: events) {
saliences.insert({MidiTempo::time2Tick(e.time, ticksPerSec), e.salience});
}
std::vector<ReducedFraction> beatsOfBar;
double matchFrac = 0;
int matchCount = 0;
int beatCount = 0;
for (const auto &beat: beatSet) {
beatsOfBar.push_back(beat);
++beatCount;
if (beatCount == beatsInBar) {
beatCount = 0;
int relationCount = 0;
int relationMatches = 0;
for (int i = 0; i != (int)beatsOfBar.size() - 1; ++i) {
const auto s1 = saliences.find(beatsOfBar[i]);
for (int j = i + 1; j != (int)beatsOfBar.size(); ++j) {
++relationCount; // before s1 search check
if (s1 == saliences.end())
continue;
const auto s2 = saliences.find(beatsOfBar[j]);
if (s2 == saliences.end())
continue;
if ((s1->second < s2->second) == (levels[i] < levels[j]))
++relationMatches;
}
}
if (relationCount) {
matchFrac += relationMatches * 1.0 / relationCount;
++matchCount;
}
beatsOfBar.clear();
}
}
if (matchCount)
matchFrac /= matchCount;
return matchFrac;
}
void removeEvery2ndBeat(std::set<ReducedFraction> &beatSet)
{
auto it = beatSet.begin();
while (it != beatSet.end() && std::next(it) != beatSet.end())
it = beatSet.erase(std::next(it));
if (it == beatSet.end()) {
// insert additional beat at the end to cover all chords
const auto beatLen = *std::prev(it) - *std::prev(it, 2);
beatSet.insert(*std::prev(it) + beatLen);
}
}
// we can use ReducedFraction for time signature (bar fraction)
// because it reduces itself only if numerator or denominator
// is greater than some big number (see ReducedFraction class definition)
std::vector<ReducedFraction> findTimeSignatures(const ReducedFraction &timeSigFromMidiFile)
{
std::vector<ReducedFraction> fractions{ReducedFraction(4, 4), ReducedFraction(3, 4)};
bool match = false;
for (const ReducedFraction &f: fractions) {
if (f.isIdenticalTo(timeSigFromMidiFile)) {
match = true;
break;
}
}
if (!match) { // some special time sig in MIDI file - use only it
fractions.clear();
fractions.push_back(timeSigFromMidiFile);
}
return fractions;
}
void setTimeSig(TimeSigMap *sigmap, const ReducedFraction &timeSig)
{
sigmap->clear();
sigmap->add(0, timeSig.fraction());
}
void findBeatLocations(
const std::multimap<ReducedFraction, MidiChord> &allChords,
TimeSigMap *sigmap,
double ticksPerSec)
{
const size_t MIN_BEAT_COUNT = 8;
const auto barFractions = findTimeSignatures(ReducedFraction(sigmap->timesig(0).timesig()));
const std::vector<
std::function<double(const std::pair<const ReducedFraction, MidiChord> &, double)>
>
salienceFuncs = {findChordSalience1, findChordSalience2};
// <match rank, beat data, comparator>
std::map<double, MidiOperations::HumanBeatData, std::greater<double>> beatResults;
for (const auto &func: salienceFuncs) {
const auto events = prepareChordEvents(allChords, func, ticksPerSec);
const auto beatTimes = BeatTracker::beatTrack(events);
if (beatTimes.size() <= MIN_BEAT_COUNT)
continue;
for (const ReducedFraction &barFraction: barFractions) {
const auto beatLen = Meter::beatLength(barFraction);
const auto div = barFraction / beatLen;
const int beatsInBar = div.numerator() / div.denominator();
const std::vector<Meter::DivisionInfo> divsInfo
= { Meter::metricDivisionsOfBar(barFraction) };
const auto levels = Meter::metricLevelsOfBar(barFraction, divsInfo, beatLen);
Q_ASSERT_X((int)levels.size() == beatsInBar,
"MidiBeat::findBeatLocations", "Wrong count of bar levels");
// beat set - first case
MidiOperations::HumanBeatData beatData = prepareHumanBeatData(
beatTimes, allChords, ticksPerSec, beatsInBar);
beatData.timeSig = barFraction;
const double matchRank = findMatchRank(beatData.beatSet, events,
levels, beatsInBar, ticksPerSec);
beatResults.insert({matchRank, beatData});
}
}
auto *data = midiImportOperations.data();
if (!beatResults.empty()) {
const MidiOperations::HumanBeatData &beatData = beatResults.begin()->second;
setTimeSig(sigmap, beatData.timeSig);
data->humanBeatData = beatData;
data->trackOpers.measureCount2xLess.setDefaultValue(beatData.measureCount2xLess);
data->trackOpers.timeSigNumerator.setDefaultValue(
Meter::fractionNumeratorToUserValue(beatData.timeSig.numerator()));
data->trackOpers.timeSigDenominator.setDefaultValue(
Meter::fractionDenominatorToUserValue(beatData.timeSig.denominator()));
}
else {
const auto currentTimeSig = ReducedFraction(sigmap->timesig(0).timesig());
data->trackOpers.timeSigNumerator.setDefaultValue(
Meter::fractionNumeratorToUserValue(currentTimeSig.numerator()));
data->trackOpers.timeSigDenominator.setDefaultValue(
Meter::fractionDenominatorToUserValue(currentTimeSig.denominator()));
}
}
void scaleOffTimes(
QList<MidiNote> ¬es,
const std::set<ReducedFraction> &beats,
const std::set<ReducedFraction>::const_iterator &onTimeBeatEndIt,
const ReducedFraction &newOnTimeBeatStart,
const ReducedFraction &newBeatLen)
{
for (auto ¬e: notes) {
int beatCount = 0; // beat count between note on time and off time
Q_ASSERT_X(onTimeBeatEndIt != beats.begin(),
"MidiBeat::scaleOffTimes",
"End beat iterator cannot be the first beat iterator");
auto bStart = *std::prev(onTimeBeatEndIt);
for (auto bit = onTimeBeatEndIt; bit != beats.end(); ++bit) {
const auto &bEnd = *bit;
Q_ASSERT_X(bEnd > bStart,
"MidiBeat::scaleOffTimes",
"Beat end <= beat start for note off time that is incorrect");
if (note.offTime >= bStart && note.offTime < bEnd) {
const auto scale = newBeatLen / (bEnd - bStart);
auto newOffTimeInBeat = (note.offTime - bStart) * scale;
newOffTimeInBeat = Quantize::quantizeValue(
newOffTimeInBeat, MChord::minAllowedDuration());
const auto desiredBeatStart = newOnTimeBeatStart + newBeatLen * beatCount;
note.offTime = desiredBeatStart + newOffTimeInBeat;
break;
}
bStart = bEnd;
++beatCount;
}
}
}
void adjustChordsToBeats(std::multimap<int, MTrack> &tracks)
{
const auto &opers = midiImportOperations;
std::set<ReducedFraction> beats = opers.data()->humanBeatData.beatSet; // copy
if (beats.empty())
return;
if (opers.data()->trackOpers.isHumanPerformance.value()) {
if (opers.data()->trackOpers.measureCount2xLess.value())
removeEvery2ndBeat(beats);
Q_ASSERT_X(beats.size() > 1, "MidiBeat::adjustChordsToBeats", "Human beat count < 2");
const auto newBeatLen = ReducedFraction::fromTicks(MScore::division);
for (auto trackIt = tracks.begin(); trackIt != tracks.end(); ++trackIt) {
auto &chords = trackIt->second.chords;
if (chords.empty())
continue;
// do chord alignment according to recognized beats
std::multimap<ReducedFraction, MidiChord> newChords;
auto chordIt = chords.begin();
auto it = beats.begin();
auto beatStart = *it;
auto newBeatStart = ReducedFraction(0, 1);
for (++it; it != beats.end(); ++it) {
const auto &beatEnd = *it;
Q_ASSERT_X(beatEnd > beatStart, "MidiBeat::adjustChordsToBeats",
"Beat end <= beat start that is incorrect");
const auto scale = newBeatLen / (beatEnd - beatStart);
for (; chordIt != chords.end() && chordIt->first < beatEnd; ++chordIt) {
auto newOnTimeInBeat = (chordIt->first - beatStart) * scale;
// quantize to prevent ReducedFraction overflow
newOnTimeInBeat = Quantize::quantizeValue(
newOnTimeInBeat, MChord::minAllowedDuration());
scaleOffTimes(chordIt->second.notes, beats, it,
newBeatStart, newBeatLen);
const auto newOnTime = newBeatStart + newOnTimeInBeat;
for (auto ¬e: chordIt->second.notes) {
if (note.offTime - newOnTime < MChord::minAllowedDuration())
note.offTime = newOnTime + MChord::minAllowedDuration();
}
newChords.insert({newOnTime, chordIt->second});
}
if (chordIt == chords.end())
break;
beatStart = beatEnd;
newBeatStart += newBeatLen;
}
std::swap(chords, newChords);
Q_ASSERT_X(MChord::areNotesLongEnough(chords),
"MidiBeat::adjustChordsToBeats", "There are too short notes");
}
}
}
void updateFirstLastBeats(MidiOperations::HumanBeatData &beatData, const ReducedFraction &timeSig)
{
for (int i = 0; i != beatData.addedFirstBeats; ++i) {
Q_ASSERT_X(!beatData.beatSet.empty(), "MidiBeat::updateFirstLastBeats",
"Empty beat set after first beats deletion");
beatData.beatSet.erase(beatData.beatSet.begin());
}
for (int i = 0; i != beatData.addedLastBeats; ++i) {
Q_ASSERT_X(!beatData.beatSet.empty(), "MidiBeat::updateFirstLastBeats",
"Empty beat set after last beats deletion");
beatData.beatSet.erase(std::prev(beatData.beatSet.end()));
}
const int beatsInBar = MidiBeat::beatsInBar(timeSig);
MidiBeat::addFirstBeats(beatData.beatSet, beatData.firstChordTick,
beatsInBar, beatData.addedFirstBeats);
MidiBeat::addLastBeats(beatData.beatSet, beatData.lastChordTick,
beatsInBar, beatData.addedLastBeats);
}
void setTimeSignature(TimeSigMap *sigmap)
{
auto *data = midiImportOperations.data();
const std::set<ReducedFraction> &beats = data->humanBeatData.beatSet;
if (beats.empty())
return; // don't set time sig for non-human performed MIDI files
const auto timeSig = Meter::userTimeSigToFraction(data->trackOpers.timeSigNumerator.value(),
data->trackOpers.timeSigDenominator.value());
setTimeSig(sigmap, timeSig);
updateFirstLastBeats(data->humanBeatData, timeSig);
}
} // namespace MidiBeat
} // namespace Ms
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