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// -*-c++-*-
/**
* TuningsImpl.h
* Copyright 2019-2020 Paul Walker
* Released under the MIT License. See LICENSE.md
*
* This contains the nasty nitty gritty implementation of the api in Tunings.h. You probably
* don't need to read it unless you have found and are fixing a bug, are curious, or want
* to add a feature to the API. For usages of this library, the documentation in Tunings.h and
* the usages in tests/all_tests.cpp should provide you more than enough guidance.
*/
#ifndef __INCLUDE_TUNINGS_IMPL_H
#define __INCLUDE_TUNINGS_IMPL_H
#include <iostream>
#include <iomanip>
#include <fstream>
#include <cstdlib>
#include <math.h>
#include <sstream>
#include <cctype>
namespace Tunings
{
// Thank you to: https://gist.github.com/josephwb/df09e3a71679461fc104
inline std::istream &getlineEndingIndependent(std::istream &is, std::string &t)
{
t.clear();
std::istream::sentry se(is, true);
std::streambuf *sb = is.rdbuf();
for (;;)
{
int c = sb->sbumpc();
switch (c)
{
case '\n':
return is;
case '\r':
if (sb->sgetc() == '\n')
{
sb->sbumpc();
}
return is;
case EOF:
is.setstate(std::ios::eofbit);
if (t.empty())
{
is.setstate(std::ios::badbit);
}
return is;
default:
t += (char)c;
}
}
}
inline double locale_atof(const char *s)
{
double result = 0;
std::istringstream istr(s);
istr.imbue(std::locale("C"));
istr >> result;
return result;
}
inline Tone toneFromString(const std::string &line, int lineno)
{
Tone t;
t.stringRep = line;
if (line.find(".") != std::string::npos)
{
t.type = Tone::kToneCents;
t.cents = locale_atof(line.c_str());
}
else
{
t.type = Tone::kToneRatio;
auto slashPos = line.find("/");
if (slashPos == std::string::npos)
{
t.ratio_n = atoi(line.c_str());
t.ratio_d = 1;
}
else
{
t.ratio_n = atoi(line.substr(0, slashPos).c_str());
t.ratio_d = atoi(line.substr(slashPos + 1).c_str());
}
if (t.ratio_n == 0 || t.ratio_d == 0)
{
std::string s = "Invalid tone in SCL file.";
if (lineno >= 0)
s += "Line " + std::to_string(lineno) + ".";
s += " Line is '" + line + "'.";
throw TuningError(s);
}
// 2^(cents/1200) = n/d
// cents = 1200 * log(n/d) / log(2)
t.cents = 1200 * log(1.0 * t.ratio_n / t.ratio_d) / log(2.0);
}
t.floatValue = t.cents / 1200.0 + 1.0;
return t;
}
inline Scale readSCLStream(std::istream &inf)
{
std::string line;
const int read_header = 0, read_count = 1, read_note = 2, trailing = 3;
int state = read_header;
Scale res;
std::ostringstream rawOSS;
int lineno = 0;
while (getlineEndingIndependent(inf, line))
{
rawOSS << line << "\n";
lineno++;
if ((state == read_note && line.empty()) || line[0] == '!')
{
continue;
}
switch (state)
{
case read_header:
res.description = line;
state = read_count;
break;
case read_count:
res.count = atoi(line.c_str());
if (res.count < 1)
{
throw TuningError("Invalid SCL note count.");
}
state = read_note;
break;
case read_note:
auto t = toneFromString(line, lineno);
res.tones.push_back(t);
if ((int)res.tones.size() == res.count)
state = trailing;
break;
}
}
if (!(state == read_note || state == trailing))
{
std::ostringstream oss;
oss << "Incomplete SCL content. Only able to read " << lineno
<< " lines of data. Found content up to ";
switch (state)
{
case read_header:
oss << "reading header.";
break;
case read_count:
oss << "reading scale count.";
break;
default:
oss << "unknown state.";
break;
}
throw TuningError(oss.str());
}
if ((int)res.tones.size() != res.count)
{
std::string s =
"Read fewer notes than count in file. Count = " + std::to_string(res.count) +
" notes. Array size = " + std::to_string(res.tones.size());
throw TuningError(s);
}
res.rawText = rawOSS.str();
return res;
}
inline Scale readSCLFile(std::string fname)
{
std::ifstream inf;
inf.open(fname);
if (!inf.is_open())
{
std::string s = "Unable to open file '" + fname + "'";
throw TuningError(s);
}
auto res = readSCLStream(inf);
res.name = fname;
return res;
}
inline Scale parseSCLData(const std::string &d)
{
std::istringstream iss(d);
auto res = readSCLStream(iss);
res.name = "Scale from patch";
return res;
}
inline Scale evenTemperament12NoteScale()
{
std::string data = R"SCL(! 12 Tone Equal Temperament.scl
!
12 Tone Equal Temperament | ED2-12 - Equal division of harmonic 2 into 12 parts
12
!
100.00000
200.00000
300.00000
400.00000
500.00000
600.00000
700.00000
800.00000
900.00000
1000.00000
1100.00000
2/1
)SCL";
return parseSCLData(data);
}
inline Scale evenDivisionOfSpanByM(int Span, int M)
{
if (Span <= 0)
throw Tunings::TuningError("Span should be a positive number. You entered " +
std::to_string(Span));
if (M <= 0)
throw Tunings::TuningError(
"You must divide the period into at least one step. You entered " + std::to_string(M));
std::ostringstream oss;
oss.imbue(std::locale("C"));
oss << "! Automatically generated ED" << Span << "-" << M << " scale\n";
oss << "Automatically generated ED" << Span << "-" << M << " scale\n";
oss << M << "\n";
oss << "!\n";
double topCents = 1200.0 * log(1.0 * Span) / log(2.0);
double dCents = topCents / M;
for (int i = 1; i < M; ++i)
oss << std::fixed << dCents * i << "\n";
oss << Span << "/1\n";
return parseSCLData(oss.str());
}
inline KeyboardMapping readKBMStream(std::istream &inf)
{
std::string line;
KeyboardMapping res;
std::ostringstream rawOSS;
res.keys.clear();
enum parsePosition
{
map_size = 0,
first_midi,
last_midi,
middle,
reference,
freq,
degree,
keys,
trailing
};
parsePosition state = map_size;
int lineno = 0;
while (getlineEndingIndependent(inf, line))
{
rawOSS << line << "\n";
lineno++;
if (line[0] == '!')
{
continue;
}
if (line == "x")
line = "-1";
else if (state != trailing)
{
const char *lc = line.c_str();
bool validLine = line.length() > 0;
char badChar = '\0';
while (validLine && *lc != '\0')
{
if (!(*lc == ' ' || std::isdigit(*lc) || *lc == '.' || *lc == (char)13 ||
*lc == '\n'))
{
validLine = false;
badChar = *lc;
}
lc++;
}
if (!validLine)
{
throw TuningError("Invalid line " + std::to_string(lineno) + ". line='" + line +
"'. Bad character is '" + badChar + "/" +
std::to_string((int)badChar) + "'");
}
}
int i = std::atoi(line.c_str());
double v = locale_atof(line.c_str());
switch (state)
{
case map_size:
res.count = i;
break;
case first_midi:
res.firstMidi = i;
break;
case last_midi:
res.lastMidi = i;
break;
case middle:
res.middleNote = i;
break;
case reference:
res.tuningConstantNote = i;
break;
case freq:
res.tuningFrequency = v;
res.tuningPitch = res.tuningFrequency / 8.17579891564371;
break;
case degree:
res.octaveDegrees = i;
break;
case keys:
res.keys.push_back(i);
if ((int)res.keys.size() == res.count)
state = trailing;
break;
case trailing:
break;
}
if (!(state == keys || state == trailing))
state = (parsePosition)(state + 1);
if (state == keys && res.count == 0)
state = trailing;
}
if (!(state == keys || state == trailing))
{
std::ostringstream oss;
oss << "Incomplete KBM stream. Only able to read " << lineno << " lines. Read up to ";
switch (state)
{
case map_size:
oss << "map size.";
break;
case first_midi:
oss << "first midi note.";
break;
case last_midi:
oss << "last midi note.";
break;
case middle:
oss << "scale zero note.";
break;
case reference:
oss << "scale reference note.";
break;
case freq:
oss << "scale reference frequency.";
break;
case degree:
oss << "scale degree.";
break;
default:
oss << "unknown state";
break;
}
throw TuningError(oss.str());
}
if ((int)res.keys.size() != res.count)
{
throw TuningError("Different number of keys than mapping file indicates. Count is " +
std::to_string(res.count) + " and we parsed " +
std::to_string(res.keys.size()) + " keys.");
}
res.rawText = rawOSS.str();
return res;
}
inline KeyboardMapping readKBMFile(std::string fname)
{
std::ifstream inf;
inf.open(fname);
if (!inf.is_open())
{
std::string s = "Unable to open file '" + fname + "'";
throw TuningError(s);
}
auto res = readKBMStream(inf);
res.name = fname;
return res;
}
inline KeyboardMapping parseKBMData(const std::string &d)
{
std::istringstream iss(d);
auto res = readKBMStream(iss);
res.name = "Mapping from patch";
return res;
}
inline Tuning::Tuning() : Tuning(evenTemperament12NoteScale(), KeyboardMapping()) {}
inline Tuning::Tuning(const Scale &s) : Tuning(s, KeyboardMapping()) {}
inline Tuning::Tuning(const KeyboardMapping &k) : Tuning(evenTemperament12NoteScale(), k) {}
inline Tuning::Tuning(const Scale &s, const KeyboardMapping &k)
{
scale = s;
keyboardMapping = k;
if (s.count <= 0)
throw TuningError("Unable to tune to a scale with no notes. Your scale provided " +
std::to_string(s.count) + " notes.");
// From the KBM Spec: When not all scale degrees need to be mapped, the size of the map can be
// smaller than the size of the scale.
if (k.octaveDegrees > s.count)
{
throw TuningError("Unable to apply mapping of size " + std::to_string(k.octaveDegrees) +
" to smaller scale of size " + std::to_string(s.count));
}
double pitches[N];
int posPitch0 = 256 + k.tuningConstantNote;
int posScale0 = 256 + k.middleNote;
double pitchMod = log(k.tuningPitch) / log(2) - 1;
int scalePositionOfTuningNote = k.tuningConstantNote - k.middleNote;
if (k.count > 0)
scalePositionOfTuningNote = k.keys[scalePositionOfTuningNote];
double tuningCenterPitchOffset;
if (scalePositionOfTuningNote == 0)
tuningCenterPitchOffset = 0;
else
{
double tshift = 0;
double dt = s.tones[s.count - 1].floatValue - 1.0;
while (scalePositionOfTuningNote < 0)
{
scalePositionOfTuningNote += s.count;
tshift += dt;
}
while (scalePositionOfTuningNote > s.count)
{
scalePositionOfTuningNote -= s.count;
tshift -= dt;
}
if (scalePositionOfTuningNote == 0)
tuningCenterPitchOffset = -tshift;
else
tuningCenterPitchOffset =
s.tones[scalePositionOfTuningNote - 1].floatValue - 1.0 - tshift;
}
for (int i = 0; i < N; ++i)
{
// TODO: ScaleCenter and PitchCenter are now two different notes.
int distanceFromPitch0 = i - posPitch0;
int distanceFromScale0 = i - posScale0;
if (distanceFromPitch0 == 0)
{
pitches[i] = 1;
lptable[i] = pitches[i] + pitchMod;
ptable[i] = pow(2.0, lptable[i]);
scalepositiontable[i] = scalePositionOfTuningNote % s.count;
#if DEBUG_SCALES
std::cout << "PITCH: i=" << i << " n=" << i - 256 << " p=" << pitches[i]
<< " lp=" << lptable[i] << " tp=" << ptable[i]
<< " fr=" << ptable[i] * 8.175798915 << std::endl;
#endif
}
else
{
/*
We used to have this which assumed 1-12
Now we have our note number, our distance from the
center note, and the key remapping
int rounds = (distanceFromScale0-1) / s.count;
int thisRound = (distanceFromScale0-1) % s.count;
*/
int rounds;
int thisRound;
int disable = false;
if ((k.count == 0))
{
rounds = (distanceFromScale0 - 1) / s.count;
thisRound = (distanceFromScale0 - 1) % s.count;
}
else
{
/*
** Now we have this situation. We are at note i so we
** are m away from the center note which is distanceFromScale0
**
** If we mod that by the mapping size we know which note we are on
*/
int mappingKey = distanceFromScale0 % k.count;
if (mappingKey < 0)
mappingKey += k.count;
// Now have we gone off the end
int rotations = 0;
int dt = distanceFromScale0;
if (dt > 0)
{
while (dt >= k.count)
{
dt -= k.count;
rotations++;
}
}
else
{
while (dt < 0)
{
dt += k.count;
rotations--;
}
}
int cm = k.keys[mappingKey];
int push = 0;
if (cm < 0)
{
disable = true;
}
else
{
push = mappingKey - cm;
}
if (k.octaveDegrees > 0 && k.octaveDegrees != k.count)
{
rounds = rotations;
thisRound = cm - 1;
if (thisRound < 0)
{
thisRound = k.octaveDegrees - 1;
rounds--;
}
}
else
{
rounds = (distanceFromScale0 - push - 1) / s.count;
thisRound = (distanceFromScale0 - push - 1) % s.count;
}
#ifdef DEBUG_SCALES
if (i > 256 + 53 && i < 265 + 85)
std::cout << "MAPPING n=" << i - 256 << " pushes ds0=" << distanceFromScale0
<< " cmc=" << k.count << " tr=" << thisRound << " r=" << rounds
<< " mk=" << mappingKey << " cm=" << cm << " push=" << push
<< " dis=" << disable << " mk-p-1=" << mappingKey - push - 1
<< " rotations=" << rotations << " od=" << k.octaveDegrees
<< std::endl;
#endif
}
if (thisRound < 0)
{
thisRound += s.count;
rounds -= 1;
}
if (disable)
{
pitches[i] = 0;
scalepositiontable[i] = -1;
}
else
{
pitches[i] = s.tones[thisRound].floatValue +
rounds * (s.tones[s.count - 1].floatValue - 1.0) -
tuningCenterPitchOffset;
scalepositiontable[i] = (thisRound + 1) % s.count;
}
lptable[i] = pitches[i] + pitchMod;
ptable[i] = pow(2.0, pitches[i] + pitchMod);
#if DEBUG_SCALES
if (i > 296 && i < 340)
std::cout << "PITCH: i=" << i << " n=" << i - 256 << " ds0=" << distanceFromScale0
<< " dp0=" << distanceFromPitch0 << " r=" << rounds << " t=" << thisRound
<< " p=" << pitches[i] << " t=" << s.tones[thisRound].floatValue << " "
<< s.tones[thisRound].cents << " dis=" << disable << " tp=" << ptable[i]
<< " fr=" << ptable[i] * 8.175798915 << " tcpo="
<< tuningCenterPitchOffset
//<< " l2p=" << log(otp)/log(2.0)
//<< " l2p-p=" << log(otp)/log(2.0) - pitches[i] - rounds - 3
<< std::endl;
#endif
}
}
}
inline double Tuning::frequencyForMidiNote(int mn) const
{
auto mni = std::min(std::max(0, mn + 256), N - 1);
return ptable[mni] * MIDI_0_FREQ;
}
inline double Tuning::frequencyForMidiNoteScaledByMidi0(int mn) const
{
auto mni = std::min(std::max(0, mn + 256), N - 1);
return ptable[mni];
}
inline double Tuning::logScaledFrequencyForMidiNote(int mn) const
{
auto mni = std::min(std::max(0, mn + 256), N - 1);
return lptable[mni];
}
inline int Tuning::scalePositionForMidiNote(int mn) const
{
auto mni = std::min(std::max(0, mn + 256), N - 1);
return scalepositiontable[mni];
}
inline bool Tuning::isMidiNoteMapped(int mn) const
{
auto mni = std::min(std::max(0, mn + 256), N - 1);
return scalepositiontable[mni] >= 0;
}
inline Tuning Tuning::withSkippedNotesInterpolated() const
{
Tuning res = *this;
for (int i = 1; i < N - 1; ++i)
{
if (scalepositiontable[i] < 0)
{
int nxt = i + 1;
int prv = i - 1;
while (prv >= 0 && scalepositiontable[prv] < 0)
prv--;
while (nxt < N && scalepositiontable[nxt] < 0)
nxt++;
float dist = nxt - prv;
float frac = (i - prv) / dist;
res.lptable[i] = (1.0 - frac) * lptable[prv] + frac * lptable[nxt];
res.ptable[i] = pow(2.0, res.lptable[i]);
}
}
return res;
}
inline KeyboardMapping::KeyboardMapping()
: count(0), firstMidi(0), lastMidi(127), middleNote(60), tuningConstantNote(60),
tuningFrequency(MIDI_0_FREQ * 32.0), tuningPitch(32.0), octaveDegrees(0), rawText(""),
name("")
{
std::ostringstream oss;
oss.imbue(std::locale("C"));
oss << "! Default KBM file\n";
oss << count << "\n"
<< firstMidi << "\n"
<< lastMidi << "\n"
<< middleNote << "\n"
<< tuningConstantNote << "\n"
<< tuningFrequency << "\n"
<< octaveDegrees << "\n";
rawText = oss.str();
}
inline KeyboardMapping tuneA69To(double freq) { return tuneNoteTo(69, freq); }
inline KeyboardMapping tuneNoteTo(int midiNote, double freq)
{
return startScaleOnAndTuneNoteTo(60, midiNote, freq);
}
inline KeyboardMapping startScaleOnAndTuneNoteTo(int scaleStart, int midiNote, double freq)
{
std::ostringstream oss;
oss.imbue(std::locale("C"));
oss << "! Automatically generated mapping, tuning note " << midiNote << " to " << freq
<< " Hz\n"
<< "!\n"
<< "! Size of map\n"
<< 0 << "\n"
<< "! First and last MIDI notes to map - map the entire keyboard\n"
<< 0 << "\n"
<< 127 << "\n"
<< "! Middle note where the first entry in the scale is mapped.\n"
<< scaleStart << "\n"
<< "! Reference note where frequency is fixed\n"
<< midiNote << "\n"
<< "! Frequency for MIDI note " << midiNote << "\n"
<< freq << "\n"
<< "! Scale degree for formal octave. This is am empty mapping, so:\n"
<< 0 << "\n"
<< "! Mapping. This is an empty mapping so list no keys\n";
return parseKBMData(oss.str());
}
} // namespace Tunings
#endif
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