Pitch.cpp

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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 &note, 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, &centsOffset, 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, &centsOffset, concertA);
    return (midiPitch >= 0 && midiPitch < 128);
}