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/* -*- 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 Chris Cannam.
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 "Pitch.h"
#include "Preferences.h"
#include "system/System.h"
#include <cmath>
double
Pitch::getFrequencyForPitch(int midiPitch,
double centsOffset,
double concertA)
{
if (concertA <= 0.0) {
concertA = Preferences::getInstance()->getTuningFrequency();
}
double p = double(midiPitch) + (centsOffset / 100);
return concertA * pow(2.0, (p - 69.0) / 12.0);
}
int
Pitch::getPitchForFrequency(double frequency,
double *centsOffsetReturn,
double concertA)
{
if (concertA <= 0.0) {
concertA = Preferences::getInstance()->getTuningFrequency();
}
double p = 12.0 * (log(frequency / (concertA / 2.0)) / log(2.0)) + 57.0;
int midiPitch = int(round(p));
double centsOffset = (p - midiPitch) * 100.0;
if (centsOffset >= 50.0) {
midiPitch = midiPitch + 1;
centsOffset = -(100.0 - centsOffset);
}
if (centsOffset < -50.0) {
midiPitch = midiPitch - 1;
centsOffset = (100.0 + centsOffset);
}
if (centsOffsetReturn) *centsOffsetReturn = centsOffset;
return midiPitch;
}
int
Pitch::getPitchForFrequencyDifference(double frequencyA,
double frequencyB,
double *centsOffsetReturn,
double concertA)
{
if (concertA <= 0.0) {
concertA = Preferences::getInstance()->getTuningFrequency();
}
if (frequencyA > frequencyB) {
std::swap(frequencyA, frequencyB);
}
double pA = 12.0 * (log(frequencyA / (concertA / 2.0)) / log(2.0)) + 57.0;
double pB = 12.0 * (log(frequencyB / (concertA / 2.0)) / log(2.0)) + 57.0;
double p = pB - pA;
int midiPitch = int(p + 0.00001);
double centsOffset = (p - midiPitch) * 100.0;
if (centsOffset >= 50.0) {
midiPitch = midiPitch + 1;
centsOffset = -(100.0 - centsOffset);
}
if (centsOffsetReturn) *centsOffsetReturn = centsOffset;
return midiPitch;
}
static QString notes[] = {
"C%1", "C#%1", "D%1", "D#%1",
"E%1", "F%1", "F#%1", "G%1",
"G#%1", "A%1", "A#%1", "B%1"
};
static QString flatNotes[] = {
"C%1", "Db%1", "D%1", "Eb%1",
"E%1", "F%1", "Gb%1", "G%1",
"Ab%1", "A%1", "Bb%1", "B%1"
};
int
Pitch::getPitchForNoteAndOctave(int note, int octave)
{
int baseOctave = Preferences::getInstance()->getOctaveOfLowestMIDINote();
return (octave - baseOctave) * 12 + note;
}
void
Pitch::getNoteAndOctaveForPitch(int midiPitch, int ¬e, int &octave)
{
int baseOctave = Preferences::getInstance()->getOctaveOfLowestMIDINote();
octave = baseOctave;
// Note, this only gets the right octave number at octave
// boundaries because Cb is enharmonic with B (not B#) and B# is
// enharmonic with C (not Cb). So neither B# nor Cb will be
// spelled from a MIDI pitch + flats flag in isolation.
if (midiPitch < 0) {
while (midiPitch < 0) {
midiPitch += 12;
--octave;
}
} else {
octave = midiPitch / 12 + baseOctave;
}
note = midiPitch % 12;
}
QString
Pitch::getPitchLabel(int midiPitch,
double centsOffset,
bool useFlats)
{
int note, octave;
getNoteAndOctaveForPitch(midiPitch, note, octave);
QString plain = (useFlats ? flatNotes : notes)[note].arg(octave);
long ic = lrint(centsOffset);
if (ic == 0) return plain;
else if (ic > 0) return QString("%1+%2c").arg(plain).arg(ic);
else return QString("%1%2c").arg(plain).arg(ic);
}
QString
Pitch::getPitchLabelForFrequency(double frequency,
double concertA,
bool useFlats)
{
if (concertA <= 0.0) {
concertA = Preferences::getInstance()->getTuningFrequency();
}
double centsOffset = 0.0;
int midiPitch = getPitchForFrequency(frequency, ¢sOffset, concertA);
return getPitchLabel(midiPitch, centsOffset, useFlats);
}
QString
Pitch::getLabelForPitchRange(int semis, double cents)
{
if (semis > 0) {
while (cents < 0.0) {
--semis;
cents += 100.0;
}
}
if (semis < 0) {
while (cents > 0.0) {
++semis;
cents -= 100.0;
}
}
long ic = lrint(cents);
if (ic == 0) {
if (semis >= 12) {
return QString("%1'%2").arg(semis/12).arg(semis - 12*(semis/12));
} else {
return QString("%1").arg(semis);
}
} else {
if (ic > 0) {
if (semis >= 12) {
return QString("%1'%2+%3c").arg(semis/12).arg(semis - 12*(semis/12)).arg(ic);
} else {
return QString("%1+%3c").arg(semis).arg(ic);
}
} else {
if (semis >= 12) {
return QString("%1'%2%3c").arg(semis/12).arg(semis - 12*(semis/12)).arg(ic);
} else {
return QString("%1%3c").arg(semis).arg(ic);
}
}
}
}
bool
Pitch::isFrequencyInMidiRange(double frequency,
double concertA)
{
double centsOffset = 0.0;
int midiPitch = getPitchForFrequency(frequency, ¢sOffset, concertA);
return (midiPitch >= 0 && midiPitch < 128);
}
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