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beam.cpp
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beam.cpp
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//=============================================================================
// MuseScore
// Music Composition & Notation
//
// Copyright (C) 2002-2012 Werner Schweer
//
// This program is free software; you can redistribute it and/or modify
// it under the terms of the GNU General Public License version 2
// as published by the Free Software Foundation and appearing in
// the file LICENCE.GPL
//=============================================================================
#include "beam.h"
#include "segment.h"
#include "score.h"
#include "chord.h"
#include "sig.h"
#include "style.h"
#include "note.h"
#include "tuplet.h"
#include "system.h"
#include "tremolo.h"
#include "measure.h"
#include "undo.h"
#include "staff.h"
#include "stafftype.h"
#include "stem.h"
#include "hook.h"
#include "mscore.h"
#include "icon.h"
#include "stemslash.h"
#include "groups.h"
#include "xml.h"
namespace Ms {
//---------------------------------------------------------
// BeamFragment
// position of primary beam
// idx 0 - MScore::Direction::AUTO or MScore::Direction::DOWN
// 1 - MScore::Direction::UP
//---------------------------------------------------------
struct BeamFragment {
qreal py1[2];
qreal py2[2];
};
//---------------------------------------------------------
// Beam
//---------------------------------------------------------
Beam::Beam(Score* s)
: Element(s)
{
setFlags(ElementFlag::SELECTABLE);
_direction = MScore::Direction::AUTO;
_up = true;
_distribute = false;
_userModified[0] = false;
_userModified[1] = false;
_grow1 = 1.0;
_grow2 = 1.0;
editFragment = -1;
_isGrace = false;
_cross = false;
_noSlope = score()->styleB(StyleIdx::beamNoSlope);
noSlopeStyle = PropertyStyle::STYLED;
}
//---------------------------------------------------------
// Beam
//---------------------------------------------------------
Beam::Beam(const Beam& b)
: Element(b)
{
_elements = b._elements;
_id = b._id;
foreach(QLineF* bs, b.beamSegments)
beamSegments.append(new QLineF(*bs));
_direction = b._direction;
_up = b._up;
_distribute = b._distribute;
_userModified[0] = b._userModified[0];
_userModified[1] = b._userModified[1];
_grow1 = b._grow1;
_grow2 = b._grow2;
editFragment = b.editFragment;
foreach(BeamFragment* f, b.fragments)
fragments.append(new BeamFragment(*f));
minMove = b.minMove;
maxMove = b.maxMove;
_isGrace = b._isGrace;
_cross = b._cross;
maxDuration = b.maxDuration;
slope = b.slope;
_noSlope = b._noSlope;
noSlopeStyle = b.noSlopeStyle;
}
//---------------------------------------------------------
// Beam
//---------------------------------------------------------
Beam::~Beam()
{
//
// delete all references from chords
//
foreach(ChordRest* cr, _elements)
cr->setBeam(0);
qDeleteAll(beamSegments);
qDeleteAll(fragments);
}
//---------------------------------------------------------
// pagePos
//---------------------------------------------------------
QPointF Beam::pagePos() const
{
System* system = static_cast<System*>(parent());
if (system == 0)
return pos();
qreal yp = y() + system->staff(staffIdx())->y() + system->y();
return QPointF(pageX(), yp);
}
//---------------------------------------------------------
// canvasPos
//---------------------------------------------------------
QPointF Beam::canvasPos() const
{
QPointF p(pagePos());
if (system() && system()->parent())
p += system()->parent()->pos();
return p;
}
//---------------------------------------------------------
// add
//---------------------------------------------------------
void Beam::add(Element* e) {
if (e && e->isChordRest())
addChordRest(static_cast<ChordRest*>(e));
}
//---------------------------------------------------------
// remove
//---------------------------------------------------------
void Beam::remove(Element* e) {
if (e && e->isChordRest())
removeChordRest(static_cast<ChordRest*>(e));
}
//---------------------------------------------------------
// addChordRest
//---------------------------------------------------------
void Beam::addChordRest(ChordRest* a)
{
a->setBeam(this);
if (!_elements.contains(a)) {
//
// insert element in same order as it appears
// in the score
//
if (a->segment() && !_elements.isEmpty()) {
for (int i = 0; i < _elements.size(); ++i) {
Segment* s = _elements[i]->segment();
if ((s->tick() > a->segment()->tick())
|| ((s->tick() == a->segment()->tick()) && (a->segment()->next(Segment::Type::ChordRest) == s))
) {
_elements.insert(i, a);
return;
}
}
}
_elements.append(a);
}
}
//---------------------------------------------------------
// removeChordRest
//---------------------------------------------------------
void Beam::removeChordRest(ChordRest* a)
{
if (!_elements.removeOne(a))
qDebug("Beam::remove(): cannot find ChordRest");
a->setBeam(0);
}
//---------------------------------------------------------
// draw
//---------------------------------------------------------
void Beam::draw(QPainter* painter) const
{
painter->setBrush(QBrush(curColor()));
painter->setPen(Qt::NoPen);
qreal lw2 = point(score()->styleS(StyleIdx::beamWidth)) * .5 * mag();
foreach (const QLineF* bs, beamSegments) {
QPolygonF pg;
pg << QPointF(bs->x1(), bs->y1()-lw2)
<< QPointF(bs->x2(), bs->y2()-lw2)
<< QPointF(bs->x2(), bs->y2()+lw2)
<< QPointF(bs->x1(), bs->y1()+lw2);
painter->drawPolygon(pg, Qt::OddEvenFill);
}
}
//---------------------------------------------------------
// move
//---------------------------------------------------------
void Beam::move(const QPointF& offset)
{
Element::move(offset);
foreach (QLineF* bs, beamSegments)
bs->translate(offset);
}
//---------------------------------------------------------
// twoBeamedNotes
// calculate stem direction of two beamed notes
// return true if two beamed notes found
//---------------------------------------------------------
bool Beam::twoBeamedNotes()
{
// if not two elements or elements are not chords or chords have more than 1 note, return failure
if ((_elements.size() != 2)
|| (_elements[0]->type() != Element::Type::CHORD)
|| _elements[1]->type() != Element::Type::CHORD) {
return false;
}
const Chord* c1 = static_cast<const Chord*>(_elements[0]);
const Chord* c2 = static_cast<const Chord*>(_elements[1]);
if (c1->notes().size() != 1 || c2->notes().size() != 1)
return false;
int upDnLimit = staff()->lines() - 1; // was '4' hard-coded in the next 2 lines
int dist1 = c1->upLine() - upDnLimit;
int dist2 = c2->upLine() - upDnLimit;
if ((dist1 == -dist2) || (-dist1 == dist2)) {
_up = false;
Segment* s = c1->segment();
s = s->prev1(Segment::Type::ChordRest);
if (s && s->element(c1->track())) {
Chord* c = static_cast<Chord*>(s->element(c1->track()));
if ((c->type() == Element::Type::CHORD) && c->beam())
_up = c->beam()->up();
}
}
else if (qAbs(dist1) > qAbs(dist2))
_up = dist1 > 0;
else
_up = dist2 > 0;
return true;
}
//---------------------------------------------------------
// layout1
//---------------------------------------------------------
void Beam::layout1()
{
//delete old segments
qDeleteAll(beamSegments);
beamSegments.clear();
maxDuration.setType(TDuration::DurationType::V_INVALID);
Chord* c1 = 0;
Chord* c2 = 0;
// TAB's with stem beside staves have special layout
if (staff()->isTabStaff() && !staff()->staffType()->stemThrough()) {
//TABULATURES: all beams (and related chords) are:
// UP or DOWN according to TAB duration position
// slope 0
_up = !staff()->staffType()->stemsDown();
slope = 0.0;
_cross = false;
minMove = maxMove = 0; // no cross-beaming in TAB's!
foreach (ChordRest* cr, _elements) {
if (cr->type() == Element::Type::CHORD) {
// set members maxDuration, c1, c2
if (!maxDuration.isValid() || (maxDuration < cr->durationType()))
maxDuration = cr->durationType();
c2 = static_cast<Chord*>(cr);
if (c1 == 0)
c1 = c2;
}
}
}
else if (staff()->isDrumStaff()) {
if (_direction != MScore::Direction::AUTO) {
_up = _direction == MScore::Direction::UP;
}
else {
foreach (ChordRest* cr, _elements) {
if (cr->type() == Element::Type::CHORD) {
c2 = static_cast<Chord*>(cr);
_up = c2->up();
break;
}
}
}
for (ChordRest* cr : _elements)
cr->setUp(_up);
}
else {
//PITCHED STAVES (and TAB's with stems through staves)
minMove = 1000;
maxMove = -1000;
_isGrace = false;
qreal mag = 0.0;
int mUp = 0;
int mDown = 0;
int upDnLimit = staff()->lines() - 1; // was '4' hard-coded in following code
foreach (ChordRest* cr, _elements) {
qreal m = cr->small() ? score()->styleD(StyleIdx::smallNoteMag) : 1.0;
mag = qMax(mag, m);
if (cr->type() == Element::Type::CHORD) {
c2 = static_cast<Chord*>(cr);
if (c1 == 0)
c1 = c2;
int i = c2->staffMove();
if (i < minMove)
minMove = i;
if (i > maxMove)
maxMove = i;
int line = c2->upLine();
if ((upDnLimit - line) > mUp)
mUp = upDnLimit - line;
line = c2->downLine();
if (line - upDnLimit > mDown)
mDown = line - upDnLimit;
}
if (!maxDuration.isValid() || (maxDuration < cr->durationType()))
maxDuration = cr->durationType();
}
setMag(mag);
//
// determine beam stem direction
//
if (_direction != MScore::Direction::AUTO) {
_up = _direction == MScore::Direction::UP;
}
else {
if (maxMove > 0) // cross staff beaming down
_up = false;
else if (c1) {
Measure* m = c1->measure();
if (c1->stemDirection() != MScore::Direction::AUTO)
_up = c1->stemDirection() == MScore::Direction::UP;
else if (m->hasVoices(c1->staffIdx()))
_up = !(c1->voice() % 2);
else if (!twoBeamedNotes()) {
// highest or lowest note determines stem direction
// interval higher is bigger -> downstem
// interval lower is bigger -> upstem
// down-stems is preferred if equal
_up = mUp < mDown;
}
}
else
_up = true;
}
_cross = minMove < maxMove;
// int idx = (_direction == MScore::Direction::AUTO || _direction == MScore::Direction::DOWN) ? 0 : 1;
slope = 0.0;
for (ChordRest* cr : _elements) {
// leave initial guess alone for moved chords within a beam that crosses staves
// otherwise, assume beam direction is stem direction
if (!_cross || !cr->staffMove())
cr->setUp(_up);
}
} // end of if/else(tablature)
}
//---------------------------------------------------------
// layoutGraceNotes
//---------------------------------------------------------
void Beam::layoutGraceNotes()
{
//delete old segments
qDeleteAll(beamSegments);
beamSegments.clear();
maxDuration.setType(TDuration::DurationType::V_INVALID);
Chord* c1 = 0;
Chord* c2 = 0;
//PITCHED STAVES (and TAB's with stems through staves)
minMove = 1000;
maxMove = -1000;
_isGrace = true;
qreal graceMag = score()->styleD(StyleIdx::graceNoteMag);
setMag(graceMag);
foreach (ChordRest* cr, _elements) {
c2 = static_cast<Chord*>(cr);
if (c1 == 0)
c1 = c2;
int i = c2->staffMove();
if (i < minMove)
minMove = i;
if (i > maxMove)
maxMove = i;
if (!maxDuration.isValid() || (maxDuration < cr->durationType()))
maxDuration = cr->durationType();
}
//
// determine beam stem direction
//
if (staff()->isTabStaff()) {
//TABULATURES: all beams (and related chords) are:
// UP or DOWN according to TAB duration position
// slope 0
_up = !staff()->staffType()->stemsDown();
}
else {
if (_direction != MScore::Direction::AUTO)
_up = _direction == MScore::Direction::UP;
else {
ChordRest* cr = _elements[0];
Measure* m = cr->measure();
if (m->hasVoices(cr->staffIdx()))
_up = !(cr->voice() % 2);
else
_up = true;
}
}
int idx = (_direction == MScore::Direction::AUTO || _direction == MScore::Direction::DOWN) ? 0 : 1;
slope = 0.0;
if (!_userModified[idx]) {
foreach(ChordRest* cr, _elements)
cr->setUp(_up);
}
}
//---------------------------------------------------------
// layout
//---------------------------------------------------------
void Beam::layout()
{
System* system = _elements.front()->measure()->system();
setParent(system);
QList<ChordRest*> crl;
int n = 0;
foreach(ChordRest* cr, _elements) {
if (cr->measure()->system() != system) {
SpannerSegmentType st;
if (n == 0)
st = SpannerSegmentType::BEGIN;
else
st = SpannerSegmentType::MIDDLE;
++n;
if (fragments.size() < n)
fragments.append(new BeamFragment);
layout2(crl, st, n-1);
crl.clear();
system = cr->measure()->system();
}
crl.append(cr);
}
if (!crl.isEmpty()) {
SpannerSegmentType st;
if (n == 0)
st = SpannerSegmentType::SINGLE;
else
st = SpannerSegmentType::END;
if (fragments.size() < (n+1))
fragments.append(new BeamFragment);
layout2(crl, st, n);
}
setbbox(QRectF());
qreal lw2 = point(score()->styleS(StyleIdx::beamWidth)) * .5 * mag();
foreach(const QLineF* bs, beamSegments) {
QPolygonF a(4);
a[0] = QPointF(bs->x1(), bs->y1()-lw2);
a[1] = QPointF(bs->x2(), bs->y2()-lw2);
a[2] = QPointF(bs->x2(), bs->y2()+lw2);
a[3] = QPointF(bs->x1(), bs->y1()+lw2);
addbbox(a.boundingRect());
}
}
//---------------------------------------------------------
// shape
//---------------------------------------------------------
QPainterPath Beam::shape() const
{
QPainterPath pp;
qreal lw2 = point(score()->styleS(StyleIdx::beamWidth)) * .5 * mag();
foreach(const QLineF* bs, beamSegments) {
QPolygonF a(5);
a[0] = QPointF(bs->x1(), bs->y1()-lw2);
a[1] = QPointF(bs->x2(), bs->y2()-lw2);
a[2] = QPointF(bs->x2(), bs->y2()+lw2);
a[3] = QPointF(bs->x1(), bs->y1()+lw2);
a[4] = QPointF(bs->x1(), bs->y1()-lw2);
pp.addPolygon(a);
}
return pp;
}
//---------------------------------------------------------
// contains
//---------------------------------------------------------
bool Beam::contains(const QPointF& p) const
{
return shape().contains(p - pagePos());
}
//---------------------------------------------------------
// absLimit
//---------------------------------------------------------
inline qreal absLimit(qreal val, qreal limit)
{
if (val > limit)
return limit;
if (val < -limit)
return -limit;
return val;
}
//---------------------------------------------------------
// hasNoSlope
//---------------------------------------------------------
bool Beam::hasNoSlope()
{
int idx = (_direction == MScore::Direction::AUTO || _direction == MScore::Direction::DOWN) ? 0 : 1;
return _noSlope && !_userModified[idx];
}
//---------------------------------------------------------
// slopeZero
//---------------------------------------------------------
bool Beam::slopeZero(const QList<ChordRest*>& cl)
{
if (hasNoSlope() || cl.size() < 2)
return true;
//
// return true if beam spans a rest
//
// for(const ChordRest* cr : cl) {
// if (cr->type() != Element::Type::CHORD)
// return true;
// }
int l1 = cl.front()->line();
int le = cl.back()->line();
// look for some pattern
if (cl.size() == 4) {
int l2 = cl[1]->line();
int l3 = cl[2]->line();
if ((l1 < le) && (l2 > l1) && (l2 > l3) && (l3 > le)) {
return true;
}
if ((l1 == l3) && (l2 == le))
return true;
}
else if (cl.size() == 6) {
int l2 = cl[1]->line();
int l3 = cl[2]->line();
int l4 = cl[3]->line();
int l5 = cl[4]->line();
if ((l2 > l1) && (l3 > l2) && (l1 == l4) && (l2 == l5) && (l3 == le))
return true;
}
//
// concave beams have a slope of 0.0
//
bool sameLine = true;
slope = 0.0;
if (cl.size() >= 3) {
int l4 = cl[1]->line(_up);
for (int i = 1; i < cl.size()-1; ++i) {
// Don't consider interior rests
if (cl[i]->type() != Element::Type::CHORD)
continue;
int l3 = cl[i]->line(_up);
if (l3 != l4)
sameLine = false;
if (_up) {
if (l3 < l1 && l3 < le)
return true;
}
else {
if (l3 > l1 && l3 > le)
return true;
}
}
if (sameLine && (l1 == l4 || le == l4) && cl[1]->type() == Element::Type::CHORD) {
if (_up) {
if (l1 == l4 && l1 < le)
return true;
if (le == l4 && le < l1)
return true;
}
else {
if (l1 == l4 && l1 > le)
return true;
else if (le == l4 && le > l1)
return true;
}
}
}
return l1 == le;
}
//---------------------------------------------------------
// BeamMetric
//---------------------------------------------------------
struct Bm
{
signed char l; // stem len in 1/4 spatium units
signed char s; // beam slant in 1/4 spatium units
Bm() : l(0), s(0) {}
Bm(signed char a, signed char b) : l(a), s(b) {}
static int key(int a, int b, int c) { return ((a & 0xff) << 16) | ((b & 0xff) << 8) | (c & 0xff); }
};
static QHash<int, Bm> bMetrics;
//---------------------------------------------------------
// initBeamMetrics
//---------------------------------------------------------
#define B(a,b,c,d,e) bMetrics[Bm::key(a, b, c)] = Bm(d, e);
static void initBeamMetrics()
{
// up step1 step2 stemLen1 slant
// (- up) (- up)
// =================================== C
B(1, 10, 10, -12, 0);
B(0, 3, 3, 11, 0);
B(1, 3, 3, -11, 0);
B(1, 10, 9, -12, -1);
B(1, 10, 8, -12, -4);
B(1, 10, 7, -12, -5);
B(1, 10, 6, -15, -5);
B(1, 10, 5, -16, -5);
B(1, 10, 4, -20, -4);
B(1, 10, 3, -20, -5);
B(1, 10, 11, -12, 1);
B(1, 10, 12, -13, 2); // F
B(1, 10, 13, -13, 2);
B(1, 10, 14, -13, 2);
B(1, 10, 15, -13, 2);
B(1, 3, 4, -11, 1);
B(1, 3, 5, -11, 2);
B(1, 3, 6, -11, 4);
B(1, 3, 7, -11, 5);
B(1, 3, 8, -11, 5);
B(1, 3, 9, -11, 5);
B(1, 3, 10, -11, 5);
B(0, -4, -3, 15, 1);
B(0, -4, -2, 15, 2);
B(0, -4, -1, 15, 2);
B(0, -4, 0, 15, 5);
B(0, -4, 1, 16, 5);
B(0, -4, 2, 20, 4);
B(0, -4, 3, 20, 5);
B(0, 3, 4, 13, 1);
B(0, 3, 5, 13, 2);
B(0, 3, 6, 14, 4);
B(0, 3, 7, 14, 4);
B(0, 3, 8, 14, 6);
B(0, 3, 2, 11, -1);
B(0, 3, 1, 11, -2);
B(0, 3, 0, 11, -5);
B(0, 3, -1, 11, -5);
B(0, 3, -2, 11, -5);
B(0, 3, -3, 11, -5);
B(0, 3, -4, 11, -5);
// =================================== D
B(1, 9, 9, -13, 0);
B(0, 2, 2, 12, 0);
B(1, 2, 2, -11, 0);
B(1, 9, 8, -13, -1);
B(1, 9, 7, -13, -2);
B(1, 9, 6, -13, -5);
B(1, 9, 5, -14, -5);
B(1, 9, 4, -16, -6);
B(1, 9, 3, -17, -5);
B(1, 9, 2, -17, -8);
B(1, 9, 10, -11, 1);
B(1, 9, 11, -11, 2);
B(1, 9, 12, -11, 2);
B(1, 9, 13, -11, 2);
B(1, 9, 14, -11, 2);
B(1, 9, 15, -11, 2);
B(1, 2, 3, -12, 1);
B(1, 2, 4, -12, 2);
B(1, 2, 5, -12, 4);
B(1, 2, 6, -12, 5);
B(1, 2, 7, -11, 5);
B(1, 2, 8, -12, 5);
B(1, 2, 9, -12, 8);
B(0, -5,-4, 16, 2);
B(0, -5,-3, 16, 2);
B(0, -5,-2, 17, 2);
B(0, -5,-1, 17, 2);
B(0, -5, 0, 18, 4);
B(0, -5, 1, 18, 5);
B(0, -5, 2, 21, 5);
B(0, 2, 3, 12, 1);
B(0, 2, 4, 12, 4);
B(0, 2, 5, 13, 4); // F
B(0, 2, 6, 15, 5);
B(0, 2, 7, 15, 6);
B(0, 2, 8, 16, 8);
B(0, 2, 9, 16, 8);
B(0, 2, 1, 12, -1);
B(0, 2, 0, 12, -4);
B(0, 2, -1, 12, -5);
B(0, 2, -2, 12, -5);
B(0, 2, -3, 12, -4);
B(0, 2, -4, 12, -4);
B(0, 2, -5, 12, -5);
// =================================== E
B(1, 8, 8, -12, 0);
B(0, 1, 1, 13, 0);
B(1, 1, 1, -12, 0);
B(1, 8, 7, -12, -1);
B(1, 8, 6, -12, -4);
B(1, 8, 5, -12, -5);
B(1, 8, 4, -15, -5);
B(1, 8, 3, -16, -5);
B(1, 8, 2, -17, -6);
B(1, 8, 1, -19, -6);
B(1, 15, 11, -21, -1);
B(1, 15, 10, -21, -1);
B(1, 15, 9, -21, -4);
B(1, 15, 8, -21, -5);
B(1, 1, 8, -11, 6);
B(1, 1, 7, -11, 6);
B(1, 1, 6, -12, 6);
B(1, 8, 9, -12, 1);
B(1, 8, 10, -12, 4);
B(1, 8, 11, -12, 5);
B(1, 8, 12, -12, 5);
B(1, 8, 13, -12, 4);
B(1, 8, 14, -12, 5);
B(1, 8, 15, -12, 5);
B(0, 1, 0, 11, -1);
B(0, 1, -1, 11, -2);
B(0, 1, -2, 11, -5);
B(0, 1, -3, 11, -5);
B(0, 1, -4, 11, -5);
B(0, 1, -5, 11, -5);
B(0, 1, -6, 11, -5);
B(0, 1, 2, 13, 1);
B(0, 1, 3, 13, 2);
B(0, 1, 4, 13, 5);
B(0, 1, 5, 14, 5);
B(0, 1, 6, 15, 5);
B(0, 1, 7, 17, 5);
B(0, 1, 8, 17, 8);
B(0, -6, -2, 19, 2);
B(0, -6, -1, 19, 4);
B(0, -6, 0, 20, 4);
B(0, -6, 1, 20, 5);
B(0, 8, 3, 9, -6);
B(0, 8, 2, 12, -8);
B(0, 8, 1, 12, -8);
// =================================== F
B(1, 7, 7,-13, 0); //F
B(0, 0, 0, 12, 0);
B(0, 7, 7, 12, 0);
B(1, 7, 6, -13, -1);
B(1, 7, 5, -13, -2);
B(1, 7, 4, -13, -5);
B(1, 7, 3, -14, -5);
B(1, 7, 2, -15, -6);
B(1, 7, 1, -17, -6);
B(1, 7, 0, -18, -8);
B(1, 14, 10, -19, -2);
B(1, 14, 9, -19, -2);
B(1, 14, 8, -20, -4);
B(1, 14, 7, -20, -5);
B(1, 0, 5, -9, 6);
B(1, 0, 6, -12, 8);
B(1, 0, 7, -12, 8);
B(1, 7, 8, -11, 1);
B(1, 7, 9, -11, 2);
B(1, 7, 10, -11, 5);
B(1, 7, 11, -11, 5);
B(1, 7, 12, -11, 5);
B(1, 7, 13, -11, 5);
B(1, 7, 14, -11, 5);
B(0, 0, -1, 12, -1);
B(0, 0, -2, 12, -4);
B(0, 0, -3, 12, -5);
B(0, 0, -4, 12, -5);
B(0, 0, -5, 12, -4);
B(0, 0, -6, 12, -4);
B(0, 0, -7, 12, -4);
B(0, 0, 1, 12, 1);
B(0, 0, 2, 12, 4);
B(0, 0, 3, 12, 5);
B(0, 0, 4, 15, 5);
B(0, 0, 5, 16, 5);
B(0, 0, 6, 17, 5);
B(0, 0, 7, 19, 6);
B(0, -7, -3, 21, 2);
B(0, -7, -2, 21, 2);
B(0, -7, -1, 21, 2);
B(0, -7, 0, 22, 4);
B(0, 7, 2, 12, -6);
B(0, 7, 1, 11, -6);
B(0, 7, 0, 11, -6);
// =================================== G
B(1, 6, 6, -12, 0);
B(0, -1, -1, 13, 0);
B(0, 6, 6, 11, 0);
B(1, 6, 5, -12, -1);
B(1, 6, 4, -12, -4);
B(1, 6, 3, -13, -4);
B(1, 6, 2, -15, -5);
B(1, 6, 1, -13, -7);
B(1, 6, 0, -16, -8);
B(1, 6, -1, -16, -8);
B(1, 13, 10, -17, -2);
B(1, 13, 9, -17, -2);
B(1, 13, 8, -18, -4);
B(1, 13, 7, -18, -5);
B(1, 13, 6, -21, -5);
B(1, -1, 6, -10, 8);
B(1, 6, 7, -12, 1);
B(1, 6, 8, -12, 4);
B(1, 6, 9, -12, 5);
B(1, 6, 10, -12, 5);
B(1, 6, 11, -12, 4);
B(1, 6, 12, -12, 5);
B(1, 6, 13, -12, 5);
B(0, -1, -2, 11, -1);
B(0, -1, -3, 11, -2);
B(0, -1, -4, 11, -2);
B(0, -1, -5, 11, -2);
B(0, -1, -6, 11, -2);
B(0, -1, -7, 11, -2);
B(0, -1, 0, 13, 1);
B(0, -1, 1, 13, 2);
B(0, -1, 2, 13, 5);
B(0, -1, 3, 14, 5);
B(0, -1, 4, 17, 6);
B(0, -1, 5, 18, 5);
B(0, -1, 6, 18, 8);
B(0, 6, 5, 12, -4);
B(0, 6, 4, 12, -4);
B(0, 6, 3, 12, -4);
B(0, 6, 2, 12, -6);
B(0, 6, 1, 11, -6);
B(0, 6, 0, 12, -7);
B(0, 6, -1, 12, -8);
// =================================== A
B(1, 5, 5, -11, 0);
B(0, -2, -2, 12, 0);
B(0, 5, 5, 11, 0);
B(1, 5, 4, -13, -1);
B(1, 5, 3, -13, -2);
B(1, 5, 2, -14, -4);
B(1, 5, 1, -15, -4);
B(1, 5, 0, -15, -6);
B(1, 12, 11, -15, -1);
B(1, 12, 10, -15, -2);
B(1, 12, 9, -15, -2);
B(1, 12, 8, -15, -5);
B(1, 12, 7, -16, -5);
B(1, 12, 6, -20, -4);
B(1, 12, 5, -20, -5);
B(1, 5, 6, -11, 1);
B(1, 5, 7, -11, 2);
B(1, 5, 8, -11, 5);
B(1, 5, 9, -11, 5);
B(1, 5, 10, -11, 5);
B(1, 5, 11, -11, 5);
B(1, 5, 12, -11, 5);
B(0, -2, -1, 12, 1);
B(0, -2, 0, 12, 4);
B(0, -2, 1, 12, 5);
B(0, -2, 2, 15, 5);
B(0, -2, 3, 16, 5);
B(0, -2, 4, 20, 4);
B(0, -2, 5, 20, 5);
B(0, -2, -3, 12, -1);
B(0, -2, -4, 13, -2);
B(0, -2, -5, 13, -2);
B(0, -2, -6, 13, -2);
B(0, -2, -7, 13, -2);
B(0, 5, 4, 11, -1);
B(0, 5, 3, 11, -2);
B(0, 5, 2, 11, -4);
B(0, 5, 1, 11, -5);
B(0, 5, 0, 11, -5);
B(0, 5, -1, 11, -5);
B(0, 5, -2, 11, -5);
// =================================== B
B(1, 4, 4, -12, 0);
B(1, 11, 11, -13, 0);
B(0, 4, 4, 12, 0);
B(0, -3, -3, 13, 0);
B(1, 11, 10, -13, -1);
B(1, 11, 9, -13, -2);
B(1, 11, 8, -13, -5);
B(1, 11, 7, -14, -5);
B(1, 11, 6, -18, -4);
B(1, 11, 5, -18, -5);
B(1, 11, 4, -21, -5);
B(1, 4, 3, -12, -1);
B(1, 4, 2, -12, -4);
B(1, 4, 1, -14, -4);
B(1, 4, 0, -16, -4);
B(1, 11, 12, -14, 1);
B(1, 11, 13, -14, 1);
B(1, 11, 14, -14, 1);
B(1, 11, 15, -15, 2);