qcustomplot.cpp

Go to the documentation of this file.

/***************************************************************************
**                                                                        **
**  QCustomPlot, an easy to use, modern plotting widget for Qt            **
**  Copyright (C) 2011, 2012, 2013, 2014 Emanuel Eichhammer               **
**                                                                        **
**  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 3 of the License, or     **
**  (at your option) any later version.                                   **
**                                                                        **
**  This program is distributed in the hope that it will be useful,       **
**  but WITHOUT ANY WARRANTY; without even the implied warranty of        **
**  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the         **
**  GNU General Public License for more details.                          **
**                                                                        **
**  You should have received a copy of the GNU General Public License     **
**  along with this program.  If not, see http://www.gnu.org/licenses/.   **
**                                                                        **
****************************************************************************
**           Author: Emanuel Eichhammer                                   **
**  Website/Contact: http://www.qcustomplot.com/                          **
**             Date: 07.04.14                                             **
**          Version: 1.2.1                                                **
****************************************************************************/
 
#include "qcustomplot.h"
 
 
 
 
 
QCPPainter::QCPPainter() :
  QPainter(),
  mModes(pmDefault),
  mIsAntialiasing(false)
{
  // don't setRenderHint(QPainter::NonCosmeticDefautPen) here, because painter isn't active yet and
  // a call to begin() will follow
}
 
QCPPainter::QCPPainter(QPaintDevice *device) :
  QPainter(device),
  mModes(pmDefault),
  mIsAntialiasing(false)
{
#if QT_VERSION < QT_VERSION_CHECK(5, 0, 0) // before Qt5, default pens used to be cosmetic if NonCosmeticDefaultPen flag isn't set. So we set it to get consistency across Qt versions.
  if (isActive())
    setRenderHint(QPainter::NonCosmeticDefaultPen);
#endif
}
 
QCPPainter::~QCPPainter()
{
}
 
void QCPPainter::setPen(const QPen &pen)
{
  QPainter::setPen(pen);
  if (mModes.testFlag(pmNonCosmetic))
    makeNonCosmetic();
}
 
void QCPPainter::setPen(const QColor &color)
{
  QPainter::setPen(color);
  if (mModes.testFlag(pmNonCosmetic))
    makeNonCosmetic();
}
 
void QCPPainter::setPen(Qt::PenStyle penStyle)
{
  QPainter::setPen(penStyle);
  if (mModes.testFlag(pmNonCosmetic))
    makeNonCosmetic();
}
 
void QCPPainter::drawLine(const QLineF &line)
{
  if (mIsAntialiasing || mModes.testFlag(pmVectorized))
    QPainter::drawLine(line);
  else
    QPainter::drawLine(line.toLine());
}
 
void QCPPainter::setAntialiasing(bool enabled)
{
  setRenderHint(QPainter::Antialiasing, enabled);
  if (mIsAntialiasing != enabled)
  {
    mIsAntialiasing = enabled;
    if (!mModes.testFlag(pmVectorized)) // antialiasing half-pixel shift only needed for rasterized outputs
    {
      if (mIsAntialiasing)
        translate(0.5, 0.5);
      else
        translate(-0.5, -0.5);
    }
  }
}
 
void QCPPainter::setModes(QCPPainter::PainterModes modes)
{
  mModes = modes;
}
 
bool QCPPainter::begin(QPaintDevice *device)
{
  bool result = QPainter::begin(device);
#if QT_VERSION < QT_VERSION_CHECK(5, 0, 0) // before Qt5, default pens used to be cosmetic if NonCosmeticDefaultPen flag isn't set. So we set it to get consistency across Qt versions.
  if (result)
    setRenderHint(QPainter::NonCosmeticDefaultPen);
#endif
  return result;
}
 
void QCPPainter::setMode(QCPPainter::PainterMode mode, bool enabled)
{
  if (!enabled && mModes.testFlag(mode))
    mModes &= ~mode;
  else if (enabled && !mModes.testFlag(mode))
    mModes |= mode;
}
 
void QCPPainter::save()
{
  mAntialiasingStack.push(mIsAntialiasing);
  QPainter::save();
}
 
void QCPPainter::restore()
{
  if (!mAntialiasingStack.isEmpty())
    mIsAntialiasing = mAntialiasingStack.pop();
  else
    qDebug() << Q_FUNC_INFO << "Unbalanced save/restore";
  QPainter::restore();
}
 
void QCPPainter::makeNonCosmetic()
{
  if (qFuzzyIsNull(pen().widthF()))
  {
    QPen p = pen();
    p.setWidth(1);
    QPainter::setPen(p);
  }
}
 
 
 
/* start documentation of inline functions */
 
/* end documentation of inline functions */
 
QCPScatterStyle::QCPScatterStyle() :
  mSize(6),
  mShape(ssNone),
  mPen(Qt::NoPen),
  mBrush(Qt::NoBrush),
  mPenDefined(false)
{
}
 
QCPScatterStyle::QCPScatterStyle(ScatterShape shape, double size) :
  mSize(size),
  mShape(shape),
  mPen(Qt::NoPen),
  mBrush(Qt::NoBrush),
  mPenDefined(false)
{
}
 
QCPScatterStyle::QCPScatterStyle(ScatterShape shape, const QColor &color, double size) :
  mSize(size),
  mShape(shape),
  mPen(QPen(color)),
  mBrush(Qt::NoBrush),
  mPenDefined(true)
{
}
 
QCPScatterStyle::QCPScatterStyle(ScatterShape shape, const QColor &color, const QColor &fill, double size) :
  mSize(size),
  mShape(shape),
  mPen(QPen(color)),
  mBrush(QBrush(fill)),
  mPenDefined(true)
{
}
 
QCPScatterStyle::QCPScatterStyle(ScatterShape shape, const QPen &pen, const QBrush &brush, double size) :
  mSize(size),
  mShape(shape),
  mPen(pen),
  mBrush(brush),
  mPenDefined(pen.style() != Qt::NoPen)
{
}
 
QCPScatterStyle::QCPScatterStyle(const QPixmap &pixmap) :
  mSize(5),
  mShape(ssPixmap),
  mPen(Qt::NoPen),
  mBrush(Qt::NoBrush),
  mPixmap(pixmap),
  mPenDefined(false)
{
}
 
QCPScatterStyle::QCPScatterStyle(const QPainterPath &customPath, const QPen &pen, const QBrush &brush, double size) :
  mSize(size),
  mShape(ssCustom),
  mPen(pen),
  mBrush(brush),
  mCustomPath(customPath),
  mPenDefined(false)
{
}
 
void QCPScatterStyle::setSize(double size)
{
  mSize = size;
}
 
void QCPScatterStyle::setShape(QCPScatterStyle::ScatterShape shape)
{
  mShape = shape;
}
 
void QCPScatterStyle::setPen(const QPen &pen)
{
  mPenDefined = true;
  mPen = pen;
}
 
void QCPScatterStyle::setBrush(const QBrush &brush)
{
  mBrush = brush;
}
 
void QCPScatterStyle::setPixmap(const QPixmap &pixmap)
{
  setShape(ssPixmap);
  mPixmap = pixmap;
}
 
void QCPScatterStyle::setCustomPath(const QPainterPath &customPath)
{
  setShape(ssCustom);
  mCustomPath = customPath;
}
 
void QCPScatterStyle::applyTo(QCPPainter *painter, const QPen &defaultPen) const
{
  painter->setPen(mPenDefined ? mPen : defaultPen);
  painter->setBrush(mBrush);
}
 
void QCPScatterStyle::drawShape(QCPPainter *painter, QPointF pos) const
{
  drawShape(painter, pos.x(), pos.y());
}
 
void QCPScatterStyle::drawShape(QCPPainter *painter, double x, double y) const
{
  double w = mSize/2.0;
  switch (mShape)
  {
    case ssNone: break;
    case ssDot:
    {
      painter->drawLine(QPointF(x, y), QPointF(x+0.0001, y));
      break;
    }
    case ssCross:
    {
      painter->drawLine(QLineF(x-w, y-w, x+w, y+w));
      painter->drawLine(QLineF(x-w, y+w, x+w, y-w));
      break;
    }
    case ssPlus:
    {
      painter->drawLine(QLineF(x-w,   y, x+w,   y));
      painter->drawLine(QLineF(  x, y+w,   x, y-w));
      break;
    }
    case ssCircle:
    {
      painter->drawEllipse(QPointF(x , y), w, w);
      break;
    }
    case ssDisc:
    {
      QBrush b = painter->brush();
      painter->setBrush(painter->pen().color());
      painter->drawEllipse(QPointF(x , y), w, w);
      painter->setBrush(b);
      break;
    }
    case ssSquare:
    {
      painter->drawRect(QRectF(x-w, y-w, mSize, mSize));
      break;
    }
    case ssDiamond:
    {
      painter->drawLine(QLineF(x-w,   y,   x, y-w));
      painter->drawLine(QLineF(  x, y-w, x+w,   y));
      painter->drawLine(QLineF(x+w,   y,   x, y+w));
      painter->drawLine(QLineF(  x, y+w, x-w,   y));
      break;
    }
    case ssStar:
    {
      painter->drawLine(QLineF(x-w,   y, x+w,   y));
      painter->drawLine(QLineF(  x, y+w,   x, y-w));
      painter->drawLine(QLineF(x-w*0.707, y-w*0.707, x+w*0.707, y+w*0.707));
      painter->drawLine(QLineF(x-w*0.707, y+w*0.707, x+w*0.707, y-w*0.707));
      break;
    }
    case ssTriangle:
    {
       painter->drawLine(QLineF(x-w, y+0.755*w, x+w, y+0.755*w));
       painter->drawLine(QLineF(x+w, y+0.755*w,   x, y-0.977*w));
       painter->drawLine(QLineF(  x, y-0.977*w, x-w, y+0.755*w));
      break;
    }
    case ssTriangleInverted:
    {
       painter->drawLine(QLineF(x-w, y-0.755*w, x+w, y-0.755*w));
       painter->drawLine(QLineF(x+w, y-0.755*w,   x, y+0.977*w));
       painter->drawLine(QLineF(  x, y+0.977*w, x-w, y-0.755*w));
      break;
    }
    case ssCrossSquare:
    {
       painter->drawLine(QLineF(x-w, y-w, x+w*0.95, y+w*0.95));
       painter->drawLine(QLineF(x-w, y+w*0.95, x+w*0.95, y-w));
       painter->drawRect(QRectF(x-w, y-w, mSize, mSize));
      break;
    }
    case ssPlusSquare:
    {
       painter->drawLine(QLineF(x-w,   y, x+w*0.95,   y));
       painter->drawLine(QLineF(  x, y+w,        x, y-w));
       painter->drawRect(QRectF(x-w, y-w, mSize, mSize));
      break;
    }
    case ssCrossCircle:
    {
       painter->drawLine(QLineF(x-w*0.707, y-w*0.707, x+w*0.670, y+w*0.670));
       painter->drawLine(QLineF(x-w*0.707, y+w*0.670, x+w*0.670, y-w*0.707));
       painter->drawEllipse(QPointF(x, y), w, w);
      break;
    }
    case ssPlusCircle:
    {
       painter->drawLine(QLineF(x-w,   y, x+w,   y));
       painter->drawLine(QLineF(  x, y+w,   x, y-w));
       painter->drawEllipse(QPointF(x, y), w, w);
      break;
    }
    case ssPeace:
    {
       painter->drawLine(QLineF(x, y-w,         x,       y+w));
       painter->drawLine(QLineF(x,   y, x-w*0.707, y+w*0.707));
       painter->drawLine(QLineF(x,   y, x+w*0.707, y+w*0.707));
       painter->drawEllipse(QPointF(x, y), w, w);
      break;
    }
    case ssPixmap:
    {
      painter->drawPixmap(x-mPixmap.width()*0.5, y-mPixmap.height()*0.5, mPixmap);
      break;
    }
    case ssCustom:
    {
      QTransform oldTransform = painter->transform();
      painter->translate(x, y);
      painter->scale(mSize/6.0, mSize/6.0);
      painter->drawPath(mCustomPath);
      painter->setTransform(oldTransform);
      break;
    }
  }
}
 
 
 
/* start documentation of inline functions */
 
/* end documentation of inline functions */
 
QCPLayer::QCPLayer(QCustomPlot *parentPlot, const QString &layerName) :
  QObject(parentPlot),
  mParentPlot(parentPlot),
  mName(layerName),
  mIndex(-1), // will be set to a proper value by the QCustomPlot layer creation function
  mVisible(true)
{
  // Note: no need to make sure layerName is unique, because layer
  // management is done with QCustomPlot functions.
}
 
QCPLayer::~QCPLayer()
{
  // If child layerables are still on this layer, detach them, so they don't try to reach back to this
  // then invalid layer once they get deleted/moved themselves. This only happens when layers are deleted
  // directly, like in the QCustomPlot destructor. (The regular layer removal procedure for the user is to
  // call QCustomPlot::removeLayer, which moves all layerables off this layer before deleting it.)
  
  while (!mChildren.isEmpty())
    mChildren.last()->setLayer(0); // removes itself from mChildren via removeChild()
  
  if (mParentPlot->currentLayer() == this)
    qDebug() << Q_FUNC_INFO << "The parent plot's mCurrentLayer will be a dangling pointer. Should have been set to a valid layer or 0 beforehand.";
}
 
void QCPLayer::setVisible(bool visible)
{
  mVisible = visible;
}
 
void QCPLayer::addChild(QCPLayerable *layerable, bool prepend)
{
  if (!mChildren.contains(layerable))
  {
    if (prepend)
      mChildren.prepend(layerable);
    else
      mChildren.append(layerable);
  } else
    qDebug() << Q_FUNC_INFO << "layerable is already child of this layer" << reinterpret_cast<quintptr>(layerable);
}
 
void QCPLayer::removeChild(QCPLayerable *layerable)
{
  if (!mChildren.removeOne(layerable))
    qDebug() << Q_FUNC_INFO << "layerable is not child of this layer" << reinterpret_cast<quintptr>(layerable);
}
 
 
 
/* start documentation of inline functions */
 
/* end documentation of inline functions */
/* start documentation of pure virtual functions */
 
/* end documentation of pure virtual functions */
/* start documentation of signals */
 
/* end documentation of signals */
 
QCPLayerable::QCPLayerable(QCustomPlot *plot, QString targetLayer, QCPLayerable *parentLayerable) :
  QObject(plot),
  mVisible(true),
  mParentPlot(plot),
  mParentLayerable(parentLayerable),
  mLayer(0),
  mAntialiased(true)
{
  if (mParentPlot)
  {
    if (targetLayer.isEmpty())
      setLayer(mParentPlot->currentLayer());
    else if (!setLayer(targetLayer))
      qDebug() << Q_FUNC_INFO << "setting QCPlayerable initial layer to" << targetLayer << "failed.";
  }
}
 
QCPLayerable::~QCPLayerable()
{
  if (mLayer)
  {
    mLayer->removeChild(this);
    mLayer = 0;
  }
}
 
void QCPLayerable::setVisible(bool on)
{
  mVisible = on;
}
 
bool QCPLayerable::setLayer(QCPLayer *layer)
{
  return moveToLayer(layer, false);
}
 
bool QCPLayerable::setLayer(const QString &layerName)
{
  if (!mParentPlot)
  {
    qDebug() << Q_FUNC_INFO << "no parent QCustomPlot set";
    return false;
  }
  if (QCPLayer *layer = mParentPlot->layer(layerName))
  {
    return setLayer(layer);
  } else
  {
    qDebug() << Q_FUNC_INFO << "there is no layer with name" << layerName;
    return false;
  }
}
 
void QCPLayerable::setAntialiased(bool enabled)
{
  mAntialiased = enabled;
}
 
bool QCPLayerable::realVisibility() const
{
  return mVisible && (!mLayer || mLayer->visible()) && (!mParentLayerable || mParentLayerable.data()->realVisibility());
}
 
double QCPLayerable::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(pos)
  Q_UNUSED(onlySelectable)
  Q_UNUSED(details)
  return -1.0;
}
 
void QCPLayerable::initializeParentPlot(QCustomPlot *parentPlot)
{
  if (mParentPlot)
  {
    qDebug() << Q_FUNC_INFO << "called with mParentPlot already initialized";
    return;
  }
  
  if (!parentPlot)
    qDebug() << Q_FUNC_INFO << "called with parentPlot zero";
  
  mParentPlot = parentPlot;
  parentPlotInitialized(mParentPlot);
}
 
void QCPLayerable::setParentLayerable(QCPLayerable *parentLayerable)
{
  mParentLayerable = parentLayerable;
}
 
bool QCPLayerable::moveToLayer(QCPLayer *layer, bool prepend)
{
  if (layer && !mParentPlot)
  {
    qDebug() << Q_FUNC_INFO << "no parent QCustomPlot set";
    return false;
  }
  if (layer && layer->parentPlot() != mParentPlot)
  {
    qDebug() << Q_FUNC_INFO << "layer" << layer->name() << "is not in same QCustomPlot as this layerable";
    return false;
  }
  
  QCPLayer *oldLayer = mLayer;
  if (mLayer)
    mLayer->removeChild(this);
  mLayer = layer;
  if (mLayer)
    mLayer->addChild(this, prepend);
  if (mLayer != oldLayer)
    emit layerChanged(mLayer);
  return true;
}
 
void QCPLayerable::applyAntialiasingHint(QCPPainter *painter, bool localAntialiased, QCP::AntialiasedElement overrideElement) const
{
  if (mParentPlot && mParentPlot->notAntialiasedElements().testFlag(overrideElement))
    painter->setAntialiasing(false);
  else if (mParentPlot && mParentPlot->antialiasedElements().testFlag(overrideElement))
    painter->setAntialiasing(true);
  else
    painter->setAntialiasing(localAntialiased);
}
 
void QCPLayerable::parentPlotInitialized(QCustomPlot *parentPlot)
{
   Q_UNUSED(parentPlot)
}
 
QCP::Interaction QCPLayerable::selectionCategory() const
{
  return QCP::iSelectOther;
}
 
QRect QCPLayerable::clipRect() const
{
  if (mParentPlot)
    return mParentPlot->viewport();
  else
    return QRect();
}
 
void QCPLayerable::selectEvent(QMouseEvent *event, bool additive, const QVariant &details, bool *selectionStateChanged)
{
  Q_UNUSED(event)
  Q_UNUSED(additive)
  Q_UNUSED(details)
  Q_UNUSED(selectionStateChanged)
}
 
void QCPLayerable::deselectEvent(bool *selectionStateChanged)
{
  Q_UNUSED(selectionStateChanged)
}
 
 
 
const double QCPRange::minRange = 1e-280;
 
const double QCPRange::maxRange = 1e250;
 
QCPRange::QCPRange() :
  lower(0),
  upper(0)
{
}
 
QCPRange::QCPRange(double lower, double upper) :
  lower(lower),
  upper(upper)
{
  normalize();
}
 
double QCPRange::size() const
{
  return upper-lower;
}
 
double QCPRange::center() const
{
  return (upper+lower)*0.5;
}
 
void QCPRange::normalize()
{
  if (lower > upper)
    qSwap(lower, upper);
}
 
void QCPRange::expand(const QCPRange &otherRange)
{
  if (lower > otherRange.lower)
    lower = otherRange.lower;
  if (upper < otherRange.upper)
    upper = otherRange.upper;
}
 
 
QCPRange QCPRange::expanded(const QCPRange &otherRange) const
{
  QCPRange result = *this;
  result.expand(otherRange);
  return result;
}
 
QCPRange QCPRange::sanitizedForLogScale() const
{
  double rangeFac = 1e-3;
  QCPRange sanitizedRange(lower, upper);
  sanitizedRange.normalize();
  // can't have range spanning negative and positive values in log plot, so change range to fix it
  //if (qFuzzyCompare(sanitizedRange.lower+1, 1) && !qFuzzyCompare(sanitizedRange.upper+1, 1))
  if (sanitizedRange.lower == 0.0 && sanitizedRange.upper != 0.0)
  {
    // case lower is 0
    if (rangeFac < sanitizedRange.upper*rangeFac)
      sanitizedRange.lower = rangeFac;
    else
      sanitizedRange.lower = sanitizedRange.upper*rangeFac;
  } //else if (!qFuzzyCompare(lower+1, 1) && qFuzzyCompare(upper+1, 1))
  else if (sanitizedRange.lower != 0.0 && sanitizedRange.upper == 0.0)
  {
    // case upper is 0
    if (-rangeFac > sanitizedRange.lower*rangeFac)
      sanitizedRange.upper = -rangeFac;
    else
      sanitizedRange.upper = sanitizedRange.lower*rangeFac;
  } else if (sanitizedRange.lower < 0 && sanitizedRange.upper > 0)
  {
    // find out whether negative or positive interval is wider to decide which sign domain will be chosen
    if (-sanitizedRange.lower > sanitizedRange.upper)
    {
      // negative is wider, do same as in case upper is 0
      if (-rangeFac > sanitizedRange.lower*rangeFac)
        sanitizedRange.upper = -rangeFac;
      else
        sanitizedRange.upper = sanitizedRange.lower*rangeFac;
    } else
    {
      // positive is wider, do same as in case lower is 0
      if (rangeFac < sanitizedRange.upper*rangeFac)
        sanitizedRange.lower = rangeFac;
      else
        sanitizedRange.lower = sanitizedRange.upper*rangeFac;
    }
  }
  // due to normalization, case lower>0 && upper<0 should never occur, because that implies upper<lower
  return sanitizedRange;
}
 
QCPRange QCPRange::sanitizedForLinScale() const
{
  QCPRange sanitizedRange(lower, upper);
  sanitizedRange.normalize();
  return sanitizedRange;
}
 
bool QCPRange::contains(double value) const
{
  return value >= lower && value <= upper;
}
 
bool QCPRange::validRange(double lower, double upper)
{
  /*
  return (lower > -maxRange &&
          upper < maxRange &&
          qAbs(lower-upper) > minRange &&
          (lower < -minRange || lower > minRange) &&
          (upper < -minRange || upper > minRange));
          */
  return (lower > -maxRange &&
          upper < maxRange &&
          qAbs(lower-upper) > minRange &&
          qAbs(lower-upper) < maxRange);
}
 
bool QCPRange::validRange(const QCPRange &range)
{
  /*
  return (range.lower > -maxRange &&
          range.upper < maxRange &&
          qAbs(range.lower-range.upper) > minRange &&
          qAbs(range.lower-range.upper) < maxRange &&
          (range.lower < -minRange || range.lower > minRange) &&
          (range.upper < -minRange || range.upper > minRange));
          */
  return (range.lower > -maxRange &&
          range.upper < maxRange &&
          qAbs(range.lower-range.upper) > minRange &&
          qAbs(range.lower-range.upper) < maxRange);
}
 
 
 
/* start documentation of inline functions */
 
/* end documentation of inline functions */
 
QCPMarginGroup::QCPMarginGroup(QCustomPlot *parentPlot) :
  QObject(parentPlot),
  mParentPlot(parentPlot)
{
  mChildren.insert(QCP::msLeft, QList<QCPLayoutElement*>());
  mChildren.insert(QCP::msRight, QList<QCPLayoutElement*>());
  mChildren.insert(QCP::msTop, QList<QCPLayoutElement*>());
  mChildren.insert(QCP::msBottom, QList<QCPLayoutElement*>());
}
 
QCPMarginGroup::~QCPMarginGroup()
{
  clear();
}
 
bool QCPMarginGroup::isEmpty() const
{
  QHashIterator<QCP::MarginSide, QList<QCPLayoutElement*> > it(mChildren);
  while (it.hasNext())
  {
    it.next();
    if (!it.value().isEmpty())
      return false;
  }
  return true;
}
 
void QCPMarginGroup::clear()
{
  // make all children remove themselves from this margin group:
  QHashIterator<QCP::MarginSide, QList<QCPLayoutElement*> > it(mChildren);
  while (it.hasNext())
  {
    it.next();
    const QList<QCPLayoutElement*> elements = it.value();
    for (int i=elements.size()-1; i>=0; --i)
      elements.at(i)->setMarginGroup(it.key(), 0); // removes itself from mChildren via removeChild
  }
}
 
int QCPMarginGroup::commonMargin(QCP::MarginSide side) const
{
  // query all automatic margins of the layout elements in this margin group side and find maximum:
  int result = 0;
  const QList<QCPLayoutElement*> elements = mChildren.value(side);
  for (int i=0; i<elements.size(); ++i)
  {
    if (!elements.at(i)->autoMargins().testFlag(side))
      continue;
    int m = qMax(elements.at(i)->calculateAutoMargin(side), QCP::getMarginValue(elements.at(i)->minimumMargins(), side));
    if (m > result)
      result = m;
  }
  return result;
}
 
void QCPMarginGroup::addChild(QCP::MarginSide side, QCPLayoutElement *element)
{
  if (!mChildren[side].contains(element))
    mChildren[side].append(element);
  else
    qDebug() << Q_FUNC_INFO << "element is already child of this margin group side" << reinterpret_cast<quintptr>(element);
}
 
void QCPMarginGroup::removeChild(QCP::MarginSide side, QCPLayoutElement *element)
{
  if (!mChildren[side].removeOne(element))
    qDebug() << Q_FUNC_INFO << "element is not child of this margin group side" << reinterpret_cast<quintptr>(element);
}
 
 
 
/* start documentation of inline functions */
 
/* end documentation of inline functions */
 
QCPLayoutElement::QCPLayoutElement(QCustomPlot *parentPlot) :
  QCPLayerable(parentPlot), // parenthood is changed as soon as layout element gets inserted into a layout (except for top level layout)
  mParentLayout(0),
  mMinimumSize(),
  mMaximumSize(QWIDGETSIZE_MAX, QWIDGETSIZE_MAX),
  mRect(0, 0, 0, 0),
  mOuterRect(0, 0, 0, 0),
  mMargins(0, 0, 0, 0),
  mMinimumMargins(0, 0, 0, 0),
  mAutoMargins(QCP::msAll)
{
}
 
QCPLayoutElement::~QCPLayoutElement()
{
  setMarginGroup(QCP::msAll, 0); // unregister at margin groups, if there are any
  // unregister at layout:
  if (qobject_cast<QCPLayout*>(mParentLayout)) // the qobject_cast is just a safeguard in case the layout forgets to call clear() in its dtor and this dtor is called by QObject dtor
    mParentLayout->take(this);
}
 
void QCPLayoutElement::setOuterRect(const QRect &rect)
{
  if (mOuterRect != rect)
  {
    mOuterRect = rect;
    mRect = mOuterRect.adjusted(mMargins.left(), mMargins.top(), -mMargins.right(), -mMargins.bottom());
  }
}
 
void QCPLayoutElement::setMargins(const QMargins &margins)
{
  if (mMargins != margins)
  {
    mMargins = margins;
    mRect = mOuterRect.adjusted(mMargins.left(), mMargins.top(), -mMargins.right(), -mMargins.bottom());
  }
}
 
void QCPLayoutElement::setMinimumMargins(const QMargins &margins)
{
  if (mMinimumMargins != margins)
  {
    mMinimumMargins = margins;
  }
}
 
void QCPLayoutElement::setAutoMargins(QCP::MarginSides sides)
{
  mAutoMargins = sides;
}
 
void QCPLayoutElement::setMinimumSize(const QSize &size)
{
  if (mMinimumSize != size)
  {
    mMinimumSize = size;
    if (mParentLayout)
      mParentLayout->sizeConstraintsChanged();
  }
}
 
void QCPLayoutElement::setMinimumSize(int width, int height)
{
  setMinimumSize(QSize(width, height));
}
 
void QCPLayoutElement::setMaximumSize(const QSize &size)
{
  if (mMaximumSize != size)
  {
    mMaximumSize = size;
    if (mParentLayout)
      mParentLayout->sizeConstraintsChanged();
  }
}
 
void QCPLayoutElement::setMaximumSize(int width, int height)
{
  setMaximumSize(QSize(width, height));
}
 
void QCPLayoutElement::setMarginGroup(QCP::MarginSides sides, QCPMarginGroup *group)
{
  QVector<QCP::MarginSide> sideVector;
  if (sides.testFlag(QCP::msLeft)) sideVector.append(QCP::msLeft);
  if (sides.testFlag(QCP::msRight)) sideVector.append(QCP::msRight);
  if (sides.testFlag(QCP::msTop)) sideVector.append(QCP::msTop);
  if (sides.testFlag(QCP::msBottom)) sideVector.append(QCP::msBottom);
  
  for (int i=0; i<sideVector.size(); ++i)
  {
    QCP::MarginSide side = sideVector.at(i);
    if (marginGroup(side) != group)
    {
      QCPMarginGroup *oldGroup = marginGroup(side);
      if (oldGroup) // unregister at old group
        oldGroup->removeChild(side, this);
      
      if (!group) // if setting to 0, remove hash entry. Else set hash entry to new group and register there
      {
        mMarginGroups.remove(side);
      } else // setting to a new group
      {
        mMarginGroups[side] = group;
        group->addChild(side, this);
      }
    }
  }
}
 
void QCPLayoutElement::update(UpdatePhase phase)
{
  if (phase == upMargins)
  {
    if (mAutoMargins != QCP::msNone)
    {
      // set the margins of this layout element according to automatic margin calculation, either directly or via a margin group:
      QMargins newMargins = mMargins;
      foreach (QCP::MarginSide side, QList<QCP::MarginSide>() << QCP::msLeft << QCP::msRight << QCP::msTop << QCP::msBottom)
      {
        if (mAutoMargins.testFlag(side)) // this side's margin shall be calculated automatically
        {
          if (mMarginGroups.contains(side))
            QCP::setMarginValue(newMargins, side, mMarginGroups[side]->commonMargin(side)); // this side is part of a margin group, so get the margin value from that group
          else
            QCP::setMarginValue(newMargins, side, calculateAutoMargin(side)); // this side is not part of a group, so calculate the value directly
          // apply minimum margin restrictions:
          if (QCP::getMarginValue(newMargins, side) < QCP::getMarginValue(mMinimumMargins, side))
            QCP::setMarginValue(newMargins, side, QCP::getMarginValue(mMinimumMargins, side));
        }
      }
      setMargins(newMargins);
    }
  }
}
 
QSize QCPLayoutElement::minimumSizeHint() const
{
  return mMinimumSize;
}
 
QSize QCPLayoutElement::maximumSizeHint() const
{
  return mMaximumSize;
}
 
QList<QCPLayoutElement*> QCPLayoutElement::elements(bool recursive) const
{
  Q_UNUSED(recursive)
  return QList<QCPLayoutElement*>();
}
 
double QCPLayoutElement::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  
  if (onlySelectable)
    return -1;
  
  if (QRectF(mOuterRect).contains(pos))
  {
    if (mParentPlot)
      return mParentPlot->selectionTolerance()*0.99;
    else
    {
      qDebug() << Q_FUNC_INFO << "parent plot not defined";
      return -1;
    }
  } else
    return -1;
}
 
void QCPLayoutElement::parentPlotInitialized(QCustomPlot *parentPlot)
{
  foreach (QCPLayoutElement* el, elements(false))
  {
    if (!el->parentPlot())
      el->initializeParentPlot(parentPlot);
  }
}
 
int QCPLayoutElement::calculateAutoMargin(QCP::MarginSide side)
{
  return qMax(QCP::getMarginValue(mMargins, side), QCP::getMarginValue(mMinimumMargins, side));
}
 
 
/* start documentation of pure virtual functions */
 
/* end documentation of pure virtual functions */
 
QCPLayout::QCPLayout()
{
}
 
void QCPLayout::update(UpdatePhase phase)
{
  QCPLayoutElement::update(phase);
  
  // set child element rects according to layout:
  if (phase == upLayout)
    updateLayout();
  
  // propagate update call to child elements:
  const int elCount = elementCount();
  for (int i=0; i<elCount; ++i)
  {
    if (QCPLayoutElement *el = elementAt(i))
      el->update(phase);
  }
}
 
/* inherits documentation from base class */
QList<QCPLayoutElement*> QCPLayout::elements(bool recursive) const
{
  const int c = elementCount();
  QList<QCPLayoutElement*> result;
#if QT_VERSION >= QT_VERSION_CHECK(4, 7, 0)
  result.reserve(c);
#endif
  for (int i=0; i<c; ++i)
    result.append(elementAt(i));
  if (recursive)
  {
    for (int i=0; i<c; ++i)
    {
      if (result.at(i))
        result << result.at(i)->elements(recursive);
    }
  }
  return result;
}
 
void QCPLayout::simplify()
{
}
 
bool QCPLayout::removeAt(int index)
{
  if (QCPLayoutElement *el = takeAt(index))
  {
    delete el;
    return true;
  } else
    return false;
}
 
bool QCPLayout::remove(QCPLayoutElement *element)
{
  if (take(element))
  {
    delete element;
    return true;
  } else
    return false;
}
 
void QCPLayout::clear()
{
  for (int i=elementCount()-1; i>=0; --i)
  {
    if (elementAt(i))
      removeAt(i);
  }
  simplify();
}
 
void QCPLayout::sizeConstraintsChanged() const
{
  if (QWidget *w = qobject_cast<QWidget*>(parent()))
    w->updateGeometry();
  else if (QCPLayout *l = qobject_cast<QCPLayout*>(parent()))
    l->sizeConstraintsChanged();
}
 
void QCPLayout::updateLayout()
{
}
 
 
void QCPLayout::adoptElement(QCPLayoutElement *el)
{
  if (el)
  {
    el->mParentLayout = this;
    el->setParentLayerable(this);
    el->setParent(this);
    if (!el->parentPlot())
      el->initializeParentPlot(mParentPlot);
  } else
    qDebug() << Q_FUNC_INFO << "Null element passed";
}
 
void QCPLayout::releaseElement(QCPLayoutElement *el)
{
  if (el)
  {
    el->mParentLayout = 0;
    el->setParentLayerable(0);
    el->setParent(mParentPlot);
    // Note: Don't initializeParentPlot(0) here, because layout element will stay in same parent plot
  } else
    qDebug() << Q_FUNC_INFO << "Null element passed";
}
 
QVector<int> QCPLayout::getSectionSizes(QVector<int> maxSizes, QVector<int> minSizes, QVector<double> stretchFactors, int totalSize) const
{
  if (maxSizes.size() != minSizes.size() || minSizes.size() != stretchFactors.size())
  {
    qDebug() << Q_FUNC_INFO << "Passed vector sizes aren't equal:" << maxSizes << minSizes << stretchFactors;
    return QVector<int>();
  }
  if (stretchFactors.isEmpty())
    return QVector<int>();
  int sectionCount = stretchFactors.size();
  QVector<double> sectionSizes(sectionCount);
  // if provided total size is forced smaller than total minimum size, ignore minimum sizes (squeeze sections):
  int minSizeSum = 0;
  for (int i=0; i<sectionCount; ++i)
    minSizeSum += minSizes.at(i);
  if (totalSize < minSizeSum)
  {
    // new stretch factors are minimum sizes and minimum sizes are set to zero:
    for (int i=0; i<sectionCount; ++i)
    {
      stretchFactors[i] = minSizes.at(i);
      minSizes[i] = 0;
    }
  }
  
  QList<int> minimumLockedSections;
  QList<int> unfinishedSections;
  for (int i=0; i<sectionCount; ++i)
    unfinishedSections.append(i);
  double freeSize = totalSize;
  
  int outerIterations = 0;
  while (!unfinishedSections.isEmpty() && outerIterations < sectionCount*2) // the iteration check ist just a failsafe in case something really strange happens
  {
    ++outerIterations;
    int innerIterations = 0;
    while (!unfinishedSections.isEmpty() && innerIterations < sectionCount*2) // the iteration check ist just a failsafe in case something really strange happens
    {
      ++innerIterations;
      // find section that hits its maximum next:
      int nextId = -1;
      double nextMax = 1e12;
      for (int i=0; i<unfinishedSections.size(); ++i)
      {
        int secId = unfinishedSections.at(i);
        double hitsMaxAt = (maxSizes.at(secId)-sectionSizes.at(secId))/stretchFactors.at(secId);
        if (hitsMaxAt < nextMax)
        {
          nextMax = hitsMaxAt;
          nextId = secId;
        }
      }
      // check if that maximum is actually within the bounds of the total size (i.e. can we stretch all remaining sections so far that the found section
      // actually hits its maximum, without exceeding the total size when we add up all sections)
      double stretchFactorSum = 0;
      for (int i=0; i<unfinishedSections.size(); ++i)
        stretchFactorSum += stretchFactors.at(unfinishedSections.at(i));
      double nextMaxLimit = freeSize/stretchFactorSum;
      if (nextMax < nextMaxLimit) // next maximum is actually hit, move forward to that point and fix the size of that section
      {
        for (int i=0; i<unfinishedSections.size(); ++i)
        {
          sectionSizes[unfinishedSections.at(i)] += nextMax*stretchFactors.at(unfinishedSections.at(i)); // increment all sections
          freeSize -= nextMax*stretchFactors.at(unfinishedSections.at(i));
        }
        unfinishedSections.removeOne(nextId); // exclude the section that is now at maximum from further changes
      } else // next maximum isn't hit, just distribute rest of free space on remaining sections
      {
        for (int i=0; i<unfinishedSections.size(); ++i)
          sectionSizes[unfinishedSections.at(i)] += nextMaxLimit*stretchFactors.at(unfinishedSections.at(i)); // increment all sections
        unfinishedSections.clear();
      }
    }
    if (innerIterations == sectionCount*2)
      qDebug() << Q_FUNC_INFO << "Exceeded maximum expected inner iteration count, layouting aborted. Input was:" << maxSizes << minSizes << stretchFactors << totalSize;
    
    // now check whether the resulting section sizes violate minimum restrictions:
    bool foundMinimumViolation = false;
    for (int i=0; i<sectionSizes.size(); ++i)
    {
      if (minimumLockedSections.contains(i))
        continue;
      if (sectionSizes.at(i) < minSizes.at(i)) // section violates minimum
      {
        sectionSizes[i] = minSizes.at(i); // set it to minimum
        foundMinimumViolation = true; // make sure we repeat the whole optimization process
        minimumLockedSections.append(i);
      }
    }
    if (foundMinimumViolation)
    {
      freeSize = totalSize;
      for (int i=0; i<sectionCount; ++i)
      {
        if (!minimumLockedSections.contains(i)) // only put sections that haven't hit their minimum back into the pool
          unfinishedSections.append(i);
        else
          freeSize -= sectionSizes.at(i); // remove size of minimum locked sections from available space in next round
      }
      // reset all section sizes to zero that are in unfinished sections (all others have been set to their minimum):
      for (int i=0; i<unfinishedSections.size(); ++i)
        sectionSizes[unfinishedSections.at(i)] = 0;
    }
  }
  if (outerIterations == sectionCount*2)
    qDebug() << Q_FUNC_INFO << "Exceeded maximum expected outer iteration count, layouting aborted. Input was:" << maxSizes << minSizes << stretchFactors << totalSize;
  
  QVector<int> result(sectionCount);
  for (int i=0; i<sectionCount; ++i)
    result[i] = qRound(sectionSizes.at(i));
  return result;
}
 
 
 
QCPLayoutGrid::QCPLayoutGrid() :
  mColumnSpacing(5),
  mRowSpacing(5)
{
}
 
QCPLayoutGrid::~QCPLayoutGrid()
{
  // clear all child layout elements. This is important because only the specific layouts know how
  // to handle removing elements (clear calls virtual removeAt method to do that).
  clear();
}
 
QCPLayoutElement *QCPLayoutGrid::element(int row, int column) const
{
  if (row >= 0 && row < mElements.size())
  {
    if (column >= 0 && column < mElements.first().size())
    {
      if (QCPLayoutElement *result = mElements.at(row).at(column))
        return result;
      else
        qDebug() << Q_FUNC_INFO << "Requested cell is empty. Row:" << row << "Column:" << column;
    } else
      qDebug() << Q_FUNC_INFO << "Invalid column. Row:" << row << "Column:" << column;
  } else
    qDebug() << Q_FUNC_INFO << "Invalid row. Row:" << row << "Column:" << column;
  return 0;
}
 
int QCPLayoutGrid::rowCount() const
{
  return mElements.size();
}
 
int QCPLayoutGrid::columnCount() const
{
  if (mElements.size() > 0)
    return mElements.first().size();
  else
    return 0;
}
 
bool QCPLayoutGrid::addElement(int row, int column, QCPLayoutElement *element)
{
  if (element)
  {
    if (!hasElement(row, column))
    {
      if (element->layout()) // remove from old layout first
        element->layout()->take(element);
      expandTo(row+1, column+1);
      mElements[row][column] = element;
      adoptElement(element);
      return true;
    } else
      qDebug() << Q_FUNC_INFO << "There is already an element in the specified row/column:" << row << column;
  } else
    qDebug() << Q_FUNC_INFO << "Can't add null element to row/column:" << row << column;
  return false;
}
 
bool QCPLayoutGrid::hasElement(int row, int column)
{
  if (row >= 0 && row < rowCount() && column >= 0 && column < columnCount())
    return mElements.at(row).at(column);
  else
    return false;
}
 
void QCPLayoutGrid::setColumnStretchFactor(int column, double factor)
{
  if (column >= 0 && column < columnCount())
  {
    if (factor > 0)
      mColumnStretchFactors[column] = factor;
    else
      qDebug() << Q_FUNC_INFO << "Invalid stretch factor, must be positive:" << factor;
  } else
    qDebug() << Q_FUNC_INFO << "Invalid column:" << column;
}
 
void QCPLayoutGrid::setColumnStretchFactors(const QList<double> &factors)
{
  if (factors.size() == mColumnStretchFactors.size())
  {
    mColumnStretchFactors = factors;
    for (int i=0; i<mColumnStretchFactors.size(); ++i)
    {
      if (mColumnStretchFactors.at(i) <= 0)
      {
        qDebug() << Q_FUNC_INFO << "Invalid stretch factor, must be positive:" << mColumnStretchFactors.at(i);
        mColumnStretchFactors[i] = 1;
      }
    }
  } else
    qDebug() << Q_FUNC_INFO << "Column count not equal to passed stretch factor count:" << factors;
}
 
void QCPLayoutGrid::setRowStretchFactor(int row, double factor)
{
  if (row >= 0 && row < rowCount())
  {
    if (factor > 0)
      mRowStretchFactors[row] = factor;
    else
      qDebug() << Q_FUNC_INFO << "Invalid stretch factor, must be positive:" << factor;
  } else
    qDebug() << Q_FUNC_INFO << "Invalid row:" << row;
}
 
void QCPLayoutGrid::setRowStretchFactors(const QList<double> &factors)
{
  if (factors.size() == mRowStretchFactors.size())
  {
    mRowStretchFactors = factors;
    for (int i=0; i<mRowStretchFactors.size(); ++i)
    {
      if (mRowStretchFactors.at(i) <= 0)
      {
        qDebug() << Q_FUNC_INFO << "Invalid stretch factor, must be positive:" << mRowStretchFactors.at(i);
        mRowStretchFactors[i] = 1;
      }
    }
  } else
    qDebug() << Q_FUNC_INFO << "Row count not equal to passed stretch factor count:" << factors;
}
 
void QCPLayoutGrid::setColumnSpacing(int pixels)
{
  mColumnSpacing = pixels;
}
 
void QCPLayoutGrid::setRowSpacing(int pixels)
{
  mRowSpacing = pixels;
}
 
void QCPLayoutGrid::expandTo(int newRowCount, int newColumnCount)
{
  // add rows as necessary:
  while (rowCount() < newRowCount)
  {
    mElements.append(QList<QCPLayoutElement*>());
    mRowStretchFactors.append(1);
  }
  // go through rows and expand columns as necessary:
  int newColCount = qMax(columnCount(), newColumnCount);
  for (int i=0; i<rowCount(); ++i)
  {
    while (mElements.at(i).size() < newColCount)
      mElements[i].append(0);
  }
  while (mColumnStretchFactors.size() < newColCount)
    mColumnStretchFactors.append(1);
}
 
void QCPLayoutGrid::insertRow(int newIndex)
{
  if (mElements.isEmpty() || mElements.first().isEmpty()) // if grid is completely empty, add first cell
  {
    expandTo(1, 1);
    return;
  }
  
  if (newIndex < 0)
    newIndex = 0;
  if (newIndex > rowCount())
    newIndex = rowCount();
  
  mRowStretchFactors.insert(newIndex, 1);
  QList<QCPLayoutElement*> newRow;
  for (int col=0; col<columnCount(); ++col)
    newRow.append((QCPLayoutElement*)0);
  mElements.insert(newIndex, newRow);
}
 
void QCPLayoutGrid::insertColumn(int newIndex)
{
  if (mElements.isEmpty() || mElements.first().isEmpty()) // if grid is completely empty, add first cell
  {
    expandTo(1, 1);
    return;
  }
  
  if (newIndex < 0)
    newIndex = 0;
  if (newIndex > columnCount())
    newIndex = columnCount();
  
  mColumnStretchFactors.insert(newIndex, 1);
  for (int row=0; row<rowCount(); ++row)
    mElements[row].insert(newIndex, (QCPLayoutElement*)0);
}
 
/* inherits documentation from base class */
void QCPLayoutGrid::updateLayout()
{
  QVector<int> minColWidths, minRowHeights, maxColWidths, maxRowHeights;
  getMinimumRowColSizes(&minColWidths, &minRowHeights);
  getMaximumRowColSizes(&maxColWidths, &maxRowHeights);
  
  int totalRowSpacing = (rowCount()-1) * mRowSpacing;
  int totalColSpacing = (columnCount()-1) * mColumnSpacing;
  QVector<int> colWidths = getSectionSizes(maxColWidths, minColWidths, mColumnStretchFactors.toVector(), mRect.width()-totalColSpacing);
  QVector<int> rowHeights = getSectionSizes(maxRowHeights, minRowHeights, mRowStretchFactors.toVector(), mRect.height()-totalRowSpacing);
  
  // go through cells and set rects accordingly:
  int yOffset = mRect.top();
  for (int row=0; row<rowCount(); ++row)
  {
    if (row > 0)
      yOffset += rowHeights.at(row-1)+mRowSpacing;
    int xOffset = mRect.left();
    for (int col=0; col<columnCount(); ++col)
    {
      if (col > 0)
        xOffset += colWidths.at(col-1)+mColumnSpacing;
      if (mElements.at(row).at(col))
        mElements.at(row).at(col)->setOuterRect(QRect(xOffset, yOffset, colWidths.at(col), rowHeights.at(row)));
    }
  }
}
 
/* inherits documentation from base class */
int QCPLayoutGrid::elementCount() const
{
  return rowCount()*columnCount();
}
 
/* inherits documentation from base class */
QCPLayoutElement *QCPLayoutGrid::elementAt(int index) const
{
  if (index >= 0 && index < elementCount())
    return mElements.at(index / columnCount()).at(index % columnCount());
  else
    return 0;
}
 
/* inherits documentation from base class */
QCPLayoutElement *QCPLayoutGrid::takeAt(int index)
{
  if (QCPLayoutElement *el = elementAt(index))
  {
    releaseElement(el);
    mElements[index / columnCount()][index % columnCount()] = 0;
    return el;
  } else
  {
    qDebug() << Q_FUNC_INFO << "Attempt to take invalid index:" << index;
    return 0;
  }
}
 
/* inherits documentation from base class */
bool QCPLayoutGrid::take(QCPLayoutElement *element)
{
  if (element)
  {
    for (int i=0; i<elementCount(); ++i)
    {
      if (elementAt(i) == element)
      {
        takeAt(i);
        return true;
      }
    }
    qDebug() << Q_FUNC_INFO << "Element not in this layout, couldn't take";
  } else
    qDebug() << Q_FUNC_INFO << "Can't take null element";
  return false;
}
 
/* inherits documentation from base class */
QList<QCPLayoutElement*> QCPLayoutGrid::elements(bool recursive) const
{
  QList<QCPLayoutElement*> result;
  int colC = columnCount();
  int rowC = rowCount();
#if QT_VERSION >= QT_VERSION_CHECK(4, 7, 0)
  result.reserve(colC*rowC);
#endif
  for (int row=0; row<rowC; ++row)
  {
    for (int col=0; col<colC; ++col)
    {
      result.append(mElements.at(row).at(col));
    }
  }
  if (recursive)
  {
    int c = result.size();
    for (int i=0; i<c; ++i)
    {
      if (result.at(i))
        result << result.at(i)->elements(recursive);
    }
  }
  return result;
}
 
void QCPLayoutGrid::simplify()
{
  // remove rows with only empty cells:
  for (int row=rowCount()-1; row>=0; --row)
  {
    bool hasElements = false;
    for (int col=0; col<columnCount(); ++col)
    {
      if (mElements.at(row).at(col))
      {
        hasElements = true;
        break;
      }
    }
    if (!hasElements)
    {
      mRowStretchFactors.removeAt(row);
      mElements.removeAt(row);
      if (mElements.isEmpty()) // removed last element, also remove stretch factor (wouldn't happen below because also columnCount changed to 0 now)
        mColumnStretchFactors.clear();
    }
  }
  
  // remove columns with only empty cells:
  for (int col=columnCount()-1; col>=0; --col)
  {
    bool hasElements = false;
    for (int row=0; row<rowCount(); ++row)
    {
      if (mElements.at(row).at(col))
      {
        hasElements = true;
        break;
      }
    }
    if (!hasElements)
    {
      mColumnStretchFactors.removeAt(col);
      for (int row=0; row<rowCount(); ++row)
        mElements[row].removeAt(col);
    }
  }
}
 
/* inherits documentation from base class */
QSize QCPLayoutGrid::minimumSizeHint() const
{
  QVector<int> minColWidths, minRowHeights;
  getMinimumRowColSizes(&minColWidths, &minRowHeights);
  QSize result(0, 0);
  for (int i=0; i<minColWidths.size(); ++i)
    result.rwidth() += minColWidths.at(i);
  for (int i=0; i<minRowHeights.size(); ++i)
    result.rheight() += minRowHeights.at(i);
  result.rwidth() += qMax(0, columnCount()-1) * mColumnSpacing + mMargins.left() + mMargins.right();
  result.rheight() += qMax(0, rowCount()-1) * mRowSpacing + mMargins.top() + mMargins.bottom();
  return result;
}
 
/* inherits documentation from base class */
QSize QCPLayoutGrid::maximumSizeHint() const
{
  QVector<int> maxColWidths, maxRowHeights;
  getMaximumRowColSizes(&maxColWidths, &maxRowHeights);
  
  QSize result(0, 0);
  for (int i=0; i<maxColWidths.size(); ++i)
    result.setWidth(qMin(result.width()+maxColWidths.at(i), QWIDGETSIZE_MAX));
  for (int i=0; i<maxRowHeights.size(); ++i)
    result.setHeight(qMin(result.height()+maxRowHeights.at(i), QWIDGETSIZE_MAX));
  result.rwidth() += qMax(0, columnCount()-1) * mColumnSpacing + mMargins.left() + mMargins.right();
  result.rheight() += qMax(0, rowCount()-1) * mRowSpacing + mMargins.top() + mMargins.bottom();
  return result;
}
 
void QCPLayoutGrid::getMinimumRowColSizes(QVector<int> *minColWidths, QVector<int> *minRowHeights) const
{
  *minColWidths = QVector<int>(columnCount(), 0);
  *minRowHeights = QVector<int>(rowCount(), 0);
  for (int row=0; row<rowCount(); ++row)
  {
    for (int col=0; col<columnCount(); ++col)
    {
      if (mElements.at(row).at(col))
      {
        QSize minHint = mElements.at(row).at(col)->minimumSizeHint();
        QSize min = mElements.at(row).at(col)->minimumSize();
        QSize final(min.width() > 0 ? min.width() : minHint.width(), min.height() > 0 ? min.height() : minHint.height());
        if (minColWidths->at(col) < final.width())
          (*minColWidths)[col] = final.width();
        if (minRowHeights->at(row) < final.height())
          (*minRowHeights)[row] = final.height();
      }
    }
  }
}
 
void QCPLayoutGrid::getMaximumRowColSizes(QVector<int> *maxColWidths, QVector<int> *maxRowHeights) const
{
  *maxColWidths = QVector<int>(columnCount(), QWIDGETSIZE_MAX);
  *maxRowHeights = QVector<int>(rowCount(), QWIDGETSIZE_MAX);
  for (int row=0; row<rowCount(); ++row)
  {
    for (int col=0; col<columnCount(); ++col)
    {
      if (mElements.at(row).at(col))
      {
        QSize maxHint = mElements.at(row).at(col)->maximumSizeHint();
        QSize max = mElements.at(row).at(col)->maximumSize();
        QSize final(max.width() < QWIDGETSIZE_MAX ? max.width() : maxHint.width(), max.height() < QWIDGETSIZE_MAX ? max.height() : maxHint.height());
        if (maxColWidths->at(col) > final.width())
          (*maxColWidths)[col] = final.width();
        if (maxRowHeights->at(row) > final.height())
          (*maxRowHeights)[row] = final.height();
      }
    }
  }
}
 
 
 
/* start documentation of inline functions */
 
/* end documentation of inline functions */
 
QCPLayoutInset::QCPLayoutInset()
{
}
 
QCPLayoutInset::~QCPLayoutInset()
{
  // clear all child layout elements. This is important because only the specific layouts know how
  // to handle removing elements (clear calls virtual removeAt method to do that).
  clear();
}
 
QCPLayoutInset::InsetPlacement QCPLayoutInset::insetPlacement(int index) const
{
  if (elementAt(index))
    return mInsetPlacement.at(index);
  else
  {
    qDebug() << Q_FUNC_INFO << "Invalid element index:" << index;
    return ipFree;
  }
}
 
Qt::Alignment QCPLayoutInset::insetAlignment(int index) const
{
  if (elementAt(index))
    return mInsetAlignment.at(index);
  else
  {
    qDebug() << Q_FUNC_INFO << "Invalid element index:" << index;
    return 0;
  }
}
 
QRectF QCPLayoutInset::insetRect(int index) const
{
  if (elementAt(index))
    return mInsetRect.at(index);
  else
  {
    qDebug() << Q_FUNC_INFO << "Invalid element index:" << index;
    return QRectF();
  }
}
 
void QCPLayoutInset::setInsetPlacement(int index, QCPLayoutInset::InsetPlacement placement)
{
  if (elementAt(index))
    mInsetPlacement[index] = placement;
  else
    qDebug() << Q_FUNC_INFO << "Invalid element index:" << index;
}
 
void QCPLayoutInset::setInsetAlignment(int index, Qt::Alignment alignment)
{
  if (elementAt(index))
    mInsetAlignment[index] = alignment;
  else
    qDebug() << Q_FUNC_INFO << "Invalid element index:" << index;
}
 
void QCPLayoutInset::setInsetRect(int index, const QRectF &rect)
{
  if (elementAt(index))
    mInsetRect[index] = rect;
  else
    qDebug() << Q_FUNC_INFO << "Invalid element index:" << index;
}
 
/* inherits documentation from base class */
void QCPLayoutInset::updateLayout()
{
  for (int i=0; i<mElements.size(); ++i)
  {
    QRect insetRect;
    QSize finalMinSize, finalMaxSize;
    QSize minSizeHint = mElements.at(i)->minimumSizeHint();
    QSize maxSizeHint = mElements.at(i)->maximumSizeHint();
    finalMinSize.setWidth(mElements.at(i)->minimumSize().width() > 0 ? mElements.at(i)->minimumSize().width() : minSizeHint.width());
    finalMinSize.setHeight(mElements.at(i)->minimumSize().height() > 0 ? mElements.at(i)->minimumSize().height() : minSizeHint.height());
    finalMaxSize.setWidth(mElements.at(i)->maximumSize().width() < QWIDGETSIZE_MAX ? mElements.at(i)->maximumSize().width() : maxSizeHint.width());
    finalMaxSize.setHeight(mElements.at(i)->maximumSize().height() < QWIDGETSIZE_MAX ? mElements.at(i)->maximumSize().height() : maxSizeHint.height());
    if (mInsetPlacement.at(i) == ipFree)
    {
      insetRect = QRect(rect().x()+rect().width()*mInsetRect.at(i).x(),
                        rect().y()+rect().height()*mInsetRect.at(i).y(),
                        rect().width()*mInsetRect.at(i).width(),
                        rect().height()*mInsetRect.at(i).height());
      if (insetRect.size().width() < finalMinSize.width())
        insetRect.setWidth(finalMinSize.width());
      if (insetRect.size().height() < finalMinSize.height())
        insetRect.setHeight(finalMinSize.height());
      if (insetRect.size().width() > finalMaxSize.width())
        insetRect.setWidth(finalMaxSize.width());
      if (insetRect.size().height() > finalMaxSize.height())
        insetRect.setHeight(finalMaxSize.height());
    } else if (mInsetPlacement.at(i) == ipBorderAligned)
    {
      insetRect.setSize(finalMinSize);
      Qt::Alignment al = mInsetAlignment.at(i);
      if (al.testFlag(Qt::AlignLeft)) insetRect.moveLeft(rect().x());
      else if (al.testFlag(Qt::AlignRight)) insetRect.moveRight(rect().x()+rect().width());
      else insetRect.moveLeft(rect().x()+rect().width()*0.5-finalMinSize.width()*0.5); // default to Qt::AlignHCenter
      if (al.testFlag(Qt::AlignTop)) insetRect.moveTop(rect().y());
      else if (al.testFlag(Qt::AlignBottom)) insetRect.moveBottom(rect().y()+rect().height());
      else insetRect.moveTop(rect().y()+rect().height()*0.5-finalMinSize.height()*0.5); // default to Qt::AlignVCenter
    }
    mElements.at(i)->setOuterRect(insetRect);
  }
}
 
/* inherits documentation from base class */
int QCPLayoutInset::elementCount() const
{
  return mElements.size();
}
 
/* inherits documentation from base class */
QCPLayoutElement *QCPLayoutInset::elementAt(int index) const
{
  if (index >= 0 && index < mElements.size())
    return mElements.at(index);
  else
    return 0;
}
 
/* inherits documentation from base class */
QCPLayoutElement *QCPLayoutInset::takeAt(int index)
{
  if (QCPLayoutElement *el = elementAt(index))
  {
    releaseElement(el);
    mElements.removeAt(index);
    mInsetPlacement.removeAt(index);
    mInsetAlignment.removeAt(index);
    mInsetRect.removeAt(index);
    return el;
  } else
  {
    qDebug() << Q_FUNC_INFO << "Attempt to take invalid index:" << index;
    return 0;
  }
}
 
/* inherits documentation from base class */
bool QCPLayoutInset::take(QCPLayoutElement *element)
{
  if (element)
  {
    for (int i=0; i<elementCount(); ++i)
    {
      if (elementAt(i) == element)
      {
        takeAt(i);
        return true;
      }
    }
    qDebug() << Q_FUNC_INFO << "Element not in this layout, couldn't take";
  } else
    qDebug() << Q_FUNC_INFO << "Can't take null element";
  return false;
}
 
double QCPLayoutInset::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  if (onlySelectable)
    return -1;
  
  for (int i=0; i<mElements.size(); ++i)
  {
    // inset layout shall only return positive selectTest, if actually an inset object is at pos
    // else it would block the entire underlying QCPAxisRect with its surface.
    if (mElements.at(i)->realVisibility() && mElements.at(i)->selectTest(pos, onlySelectable) >= 0)
      return mParentPlot->selectionTolerance()*0.99;
  }
  return -1;
}
 
void QCPLayoutInset::addElement(QCPLayoutElement *element, Qt::Alignment alignment)
{
  if (element)
  {
    if (element->layout()) // remove from old layout first
      element->layout()->take(element);
    mElements.append(element);
    mInsetPlacement.append(ipBorderAligned);
    mInsetAlignment.append(alignment);
    mInsetRect.append(QRectF(0.6, 0.6, 0.4, 0.4));
    adoptElement(element);
  } else
    qDebug() << Q_FUNC_INFO << "Can't add null element";
}
 
void QCPLayoutInset::addElement(QCPLayoutElement *element, const QRectF &rect)
{
  if (element)
  {
    if (element->layout()) // remove from old layout first
      element->layout()->take(element);
    mElements.append(element);
    mInsetPlacement.append(ipFree);
    mInsetAlignment.append(Qt::AlignRight|Qt::AlignTop);
    mInsetRect.append(rect);
    adoptElement(element);
  } else
    qDebug() << Q_FUNC_INFO << "Can't add null element";
}
 
 
 
QCPLineEnding::QCPLineEnding() :
  mStyle(esNone),
  mWidth(8),
  mLength(10),
  mInverted(false)
{
}
 
QCPLineEnding::QCPLineEnding(QCPLineEnding::EndingStyle style, double width, double length, bool inverted) :
  mStyle(style),
  mWidth(width),
  mLength(length),
  mInverted(inverted)
{
}
 
void QCPLineEnding::setStyle(QCPLineEnding::EndingStyle style)
{
  mStyle = style;
}
 
void QCPLineEnding::setWidth(double width)
{
  mWidth = width;
}
 
void QCPLineEnding::setLength(double length)
{
  mLength = length;
}
 
void QCPLineEnding::setInverted(bool inverted)
{
  mInverted = inverted;
}
 
double QCPLineEnding::boundingDistance() const
{
  switch (mStyle)
  {
    case esNone:
      return 0;
      
    case esFlatArrow:
    case esSpikeArrow:
    case esLineArrow:
    case esSkewedBar:
      return qSqrt(mWidth*mWidth+mLength*mLength); // items that have width and length
      
    case esDisc:
    case esSquare:
    case esDiamond:
    case esBar:
    case esHalfBar:
      return mWidth*1.42; // items that only have a width -> width*sqrt(2)
 
  }
  return 0;
}
 
double QCPLineEnding::realLength() const
{
  switch (mStyle)
  {
    case esNone:
    case esLineArrow:
    case esSkewedBar:
    case esBar:
    case esHalfBar:
      return 0;
      
    case esFlatArrow:
      return mLength;
      
    case esDisc:
    case esSquare:
    case esDiamond:
      return mWidth*0.5;
      
    case esSpikeArrow:
      return mLength*0.8;
  }
  return 0;
}
 
void QCPLineEnding::draw(QCPPainter *painter, const QVector2D &pos, const QVector2D &dir) const
{
  if (mStyle == esNone)
    return;
  
  QVector2D lengthVec(dir.normalized());
  if (lengthVec.isNull())
    lengthVec = QVector2D(1, 0);
  QVector2D widthVec(-lengthVec.y(), lengthVec.x());
  lengthVec *= (float)(mLength*(mInverted ? -1 : 1));
  widthVec *= (float)(mWidth*0.5*(mInverted ? -1 : 1));
  
  QPen penBackup = painter->pen();
  QBrush brushBackup = painter->brush();
  QPen miterPen = penBackup;
  miterPen.setJoinStyle(Qt::MiterJoin); // to make arrow heads spikey
  QBrush brush(painter->pen().color(), Qt::SolidPattern);
  switch (mStyle)
  {
    case esNone: break;
    case esFlatArrow:
    {
      QPointF points[3] = {pos.toPointF(),
                           (pos-lengthVec+widthVec).toPointF(),
                           (pos-lengthVec-widthVec).toPointF()
                          };
      painter->setPen(miterPen);
      painter->setBrush(brush);
      painter->drawConvexPolygon(points, 3);
      painter->setBrush(brushBackup);
      painter->setPen(penBackup);
      break;
    }
    case esSpikeArrow:
    {
      QPointF points[4] = {pos.toPointF(),
                           (pos-lengthVec+widthVec).toPointF(),
                           (pos-lengthVec*0.8f).toPointF(),
                           (pos-lengthVec-widthVec).toPointF()
                          };
      painter->setPen(miterPen);
      painter->setBrush(brush);
      painter->drawConvexPolygon(points, 4);
      painter->setBrush(brushBackup);
      painter->setPen(penBackup);
      break;
    }
    case esLineArrow:
    {
      QPointF points[3] = {(pos-lengthVec+widthVec).toPointF(),
                           pos.toPointF(),
                           (pos-lengthVec-widthVec).toPointF()
                          };
      painter->setPen(miterPen);
      painter->drawPolyline(points, 3);
      painter->setPen(penBackup);
      break;
    }
    case esDisc:
    {
      painter->setBrush(brush);
      painter->drawEllipse(pos.toPointF(),  mWidth*0.5, mWidth*0.5);
      painter->setBrush(brushBackup);
      break;
    }
    case esSquare:
    {
      QVector2D widthVecPerp(-widthVec.y(), widthVec.x());
      QPointF points[4] = {(pos-widthVecPerp+widthVec).toPointF(),
                           (pos-widthVecPerp-widthVec).toPointF(),
                           (pos+widthVecPerp-widthVec).toPointF(),
                           (pos+widthVecPerp+widthVec).toPointF()
                          };
      painter->setPen(miterPen);
      painter->setBrush(brush);
      painter->drawConvexPolygon(points, 4);
      painter->setBrush(brushBackup);
      painter->setPen(penBackup);
      break;
    }
    case esDiamond:
    {
      QVector2D widthVecPerp(-widthVec.y(), widthVec.x());
      QPointF points[4] = {(pos-widthVecPerp).toPointF(),
                           (pos-widthVec).toPointF(),
                           (pos+widthVecPerp).toPointF(),
                           (pos+widthVec).toPointF()
                          };
      painter->setPen(miterPen);
      painter->setBrush(brush);
      painter->drawConvexPolygon(points, 4);
      painter->setBrush(brushBackup);
      painter->setPen(penBackup);
      break;
    }
    case esBar:
    {
      painter->drawLine((pos+widthVec).toPointF(), (pos-widthVec).toPointF());
      break;
    }
    case esHalfBar:
    {
      painter->drawLine((pos+widthVec).toPointF(), pos.toPointF());
      break;
    }
    case esSkewedBar:
    {
      if (qFuzzyIsNull(painter->pen().widthF()) && !painter->modes().testFlag(QCPPainter::pmNonCosmetic))
      {
        // if drawing with cosmetic pen (perfectly thin stroke, happens only in vector exports), draw bar exactly on tip of line
        painter->drawLine((pos+widthVec+lengthVec*0.2f*(mInverted?-1:1)).toPointF(),
                          (pos-widthVec-lengthVec*0.2f*(mInverted?-1:1)).toPointF());
      } else
      {
        // if drawing with thick (non-cosmetic) pen, shift bar a little in line direction to prevent line from sticking through bar slightly
        painter->drawLine((pos+widthVec+lengthVec*0.2f*(mInverted?-1:1)+dir.normalized()*qMax(1.0f, (float)painter->pen().widthF())*0.5f).toPointF(),
                          (pos-widthVec-lengthVec*0.2f*(mInverted?-1:1)+dir.normalized()*qMax(1.0f, (float)painter->pen().widthF())*0.5f).toPointF());
      }
      break;
    }
  }
}
 
void QCPLineEnding::draw(QCPPainter *painter, const QVector2D &pos, double angle) const
{
  draw(painter, pos, QVector2D(qCos(angle), qSin(angle)));
}
 
 
 
QCPGrid::QCPGrid(QCPAxis *parentAxis) :
  QCPLayerable(parentAxis->parentPlot(), "", parentAxis),
  mParentAxis(parentAxis)
{
  // warning: this is called in QCPAxis constructor, so parentAxis members should not be accessed/called
  setParent(parentAxis);
  setPen(QPen(QColor(200,200,200), 0, Qt::DotLine));
  setSubGridPen(QPen(QColor(220,220,220), 0, Qt::DotLine));
  setZeroLinePen(QPen(QColor(200,200,200), 0, Qt::SolidLine));
  setSubGridVisible(false);
  setAntialiased(false);
  setAntialiasedSubGrid(false);
  setAntialiasedZeroLine(false);
}
 
void QCPGrid::setSubGridVisible(bool visible)
{
  mSubGridVisible = visible;
}
 
void QCPGrid::setAntialiasedSubGrid(bool enabled)
{
  mAntialiasedSubGrid = enabled;
}
 
void QCPGrid::setAntialiasedZeroLine(bool enabled)
{
  mAntialiasedZeroLine = enabled;
}
 
void QCPGrid::setPen(const QPen &pen)
{
  mPen = pen;
}
 
void QCPGrid::setSubGridPen(const QPen &pen)
{
  mSubGridPen = pen;
}
 
void QCPGrid::setZeroLinePen(const QPen &pen)
{
  mZeroLinePen = pen;
}
 
void QCPGrid::applyDefaultAntialiasingHint(QCPPainter *painter) const
{
  applyAntialiasingHint(painter, mAntialiased, QCP::aeGrid);
}
 
void QCPGrid::draw(QCPPainter *painter)
{
  if (!mParentAxis) { qDebug() << Q_FUNC_INFO << "invalid parent axis"; return; }
  
  if (mSubGridVisible)
    drawSubGridLines(painter);
  drawGridLines(painter);
}
 
void QCPGrid::drawGridLines(QCPPainter *painter) const
{
  if (!mParentAxis) { qDebug() << Q_FUNC_INFO << "invalid parent axis"; return; }
  
  int lowTick = mParentAxis->mLowestVisibleTick;
  int highTick = mParentAxis->mHighestVisibleTick;
  double t; // helper variable, result of coordinate-to-pixel transforms
  if (mParentAxis->orientation() == Qt::Horizontal)
  {
    // draw zeroline:
    int zeroLineIndex = -1;
    if (mZeroLinePen.style() != Qt::NoPen && mParentAxis->mRange.lower < 0 && mParentAxis->mRange.upper > 0)
    {
      applyAntialiasingHint(painter, mAntialiasedZeroLine, QCP::aeZeroLine);
      painter->setPen(mZeroLinePen);
      double epsilon = mParentAxis->range().size()*1E-6; // for comparing double to zero
      for (int i=lowTick; i <= highTick; ++i)
      {
        if (qAbs(mParentAxis->mTickVector.at(i)) < epsilon)
        {
          zeroLineIndex = i;
          t = mParentAxis->coordToPixel(mParentAxis->mTickVector.at(i)); // x
          painter->drawLine(QLineF(t, mParentAxis->mAxisRect->bottom(), t, mParentAxis->mAxisRect->top()));
          break;
        }
      }
    }
    // draw grid lines:
    applyDefaultAntialiasingHint(painter);
    painter->setPen(mPen);
    for (int i=lowTick; i <= highTick; ++i)
    {
      if (i == zeroLineIndex) continue; // don't draw a gridline on top of the zeroline
      t = mParentAxis->coordToPixel(mParentAxis->mTickVector.at(i)); // x
      painter->drawLine(QLineF(t, mParentAxis->mAxisRect->bottom(), t, mParentAxis->mAxisRect->top()));
    }
  } else
  {
    // draw zeroline:
    int zeroLineIndex = -1;
    if (mZeroLinePen.style() != Qt::NoPen && mParentAxis->mRange.lower < 0 && mParentAxis->mRange.upper > 0)
    {
      applyAntialiasingHint(painter, mAntialiasedZeroLine, QCP::aeZeroLine);
      painter->setPen(mZeroLinePen);
      double epsilon = mParentAxis->mRange.size()*1E-6; // for comparing double to zero
      for (int i=lowTick; i <= highTick; ++i)
      {
        if (qAbs(mParentAxis->mTickVector.at(i)) < epsilon)
        {
          zeroLineIndex = i;
          t = mParentAxis->coordToPixel(mParentAxis->mTickVector.at(i)); // y
          painter->drawLine(QLineF(mParentAxis->mAxisRect->left(), t, mParentAxis->mAxisRect->right(), t));
          break;
        }
      }
    }
    // draw grid lines:
    applyDefaultAntialiasingHint(painter);
    painter->setPen(mPen);
    for (int i=lowTick; i <= highTick; ++i)
    {
      if (i == zeroLineIndex) continue; // don't draw a gridline on top of the zeroline
      t = mParentAxis->coordToPixel(mParentAxis->mTickVector.at(i)); // y
      painter->drawLine(QLineF(mParentAxis->mAxisRect->left(), t, mParentAxis->mAxisRect->right(), t));
    }
  }
}
 
void QCPGrid::drawSubGridLines(QCPPainter *painter) const
{
  if (!mParentAxis) { qDebug() << Q_FUNC_INFO << "invalid parent axis"; return; }
  
  applyAntialiasingHint(painter, mAntialiasedSubGrid, QCP::aeSubGrid);
  double t; // helper variable, result of coordinate-to-pixel transforms
  painter->setPen(mSubGridPen);
  if (mParentAxis->orientation() == Qt::Horizontal)
  {
    for (int i=0; i<mParentAxis->mSubTickVector.size(); ++i)
    {
      t = mParentAxis->coordToPixel(mParentAxis->mSubTickVector.at(i)); // x
      painter->drawLine(QLineF(t, mParentAxis->mAxisRect->bottom(), t, mParentAxis->mAxisRect->top()));
    }
  } else
  {
    for (int i=0; i<mParentAxis->mSubTickVector.size(); ++i)
    {
      t = mParentAxis->coordToPixel(mParentAxis->mSubTickVector.at(i)); // y
      painter->drawLine(QLineF(mParentAxis->mAxisRect->left(), t, mParentAxis->mAxisRect->right(), t));
    }
  }
}
 
 
 
/* start of documentation of inline functions */
 
/* end of documentation of inline functions */
/* start of documentation of signals */
 
/* end of documentation of signals */
 
QCPAxis::QCPAxis(QCPAxisRect *parent, AxisType type) :
  QCPLayerable(parent->parentPlot(), "", parent),
  // axis base:
  mAxisType(type),
  mAxisRect(parent),
  mPadding(5),
  mOrientation(orientation(type)),
  mSelectableParts(spAxis | spTickLabels | spAxisLabel),
  mSelectedParts(spNone),
  mBasePen(QPen(Qt::black, 0, Qt::SolidLine, Qt::SquareCap)),
  mSelectedBasePen(QPen(Qt::blue, 2)),
  // axis label:
  mLabel(""),
  mLabelFont(mParentPlot->font()),
  mSelectedLabelFont(QFont(mLabelFont.family(), mLabelFont.pointSize(), QFont::Bold)),
  mLabelColor(Qt::black),
  mSelectedLabelColor(Qt::blue),
  // tick labels:
  mTickLabels(true),
  mAutoTickLabels(true),
  mTickLabelType(ltNumber),
  mTickLabelFont(mParentPlot->font()),
  mSelectedTickLabelFont(QFont(mTickLabelFont.family(), mTickLabelFont.pointSize(), QFont::Bold)),
  mTickLabelColor(Qt::black),
  mSelectedTickLabelColor(Qt::blue),
  mDateTimeFormat("hh:mm:ss\ndd.MM.yy"),
  mDateTimeSpec(Qt::LocalTime),
  mNumberPrecision(6),
  mNumberFormatChar('g'),
  mNumberBeautifulPowers(true),
  // ticks and subticks:
  mTicks(true),
  mTickStep(1),
  mSubTickCount(4),
  mAutoTickCount(6),
  mAutoTicks(true),
  mAutoTickStep(true),
  mAutoSubTicks(true),
  mTickPen(QPen(Qt::black, 0, Qt::SolidLine, Qt::SquareCap)),
  mSelectedTickPen(QPen(Qt::blue, 2)),
  mSubTickPen(QPen(Qt::black, 0, Qt::SolidLine, Qt::SquareCap)),
  mSelectedSubTickPen(QPen(Qt::blue, 2)),
  // scale and range:
  mRange(0, 5),
  mRangeReversed(false),
  mScaleType(stLinear),
  mScaleLogBase(10),
  mScaleLogBaseLogInv(1.0/qLn(mScaleLogBase)),
  // internal members:
  mGrid(new QCPGrid(this)),
  mAxisPainter(new QCPAxisPainterPrivate(parent->parentPlot())),
  mLowestVisibleTick(0),
  mHighestVisibleTick(-1),
  mCachedMarginValid(false),
  mCachedMargin(0)
{
  mGrid->setVisible(false);
  setAntialiased(false);
  setLayer(mParentPlot->currentLayer()); // it's actually on that layer already, but we want it in front of the grid, so we place it on there again
  
  if (type == atTop)
  {
    setTickLabelPadding(3);
    setLabelPadding(6);
  } else if (type == atRight)
  {
    setTickLabelPadding(7);
    setLabelPadding(12);
  } else if (type == atBottom)
  {
    setTickLabelPadding(3);
    setLabelPadding(3);
  } else if (type == atLeft)
  {
    setTickLabelPadding(5);
    setLabelPadding(10);
  }
}
 
QCPAxis::~QCPAxis()
{
  delete mAxisPainter;
}
 
/* No documentation as it is a property getter */
int QCPAxis::tickLabelPadding() const
{
  return mAxisPainter->tickLabelPadding;
}
 
/* No documentation as it is a property getter */
double QCPAxis::tickLabelRotation() const
{
  return mAxisPainter->tickLabelRotation;
}
 
/* No documentation as it is a property getter */
QString QCPAxis::numberFormat() const
{
  QString result;
  result.append(mNumberFormatChar);
  if (mNumberBeautifulPowers)
  {
    result.append("b");
    if (mAxisPainter->numberMultiplyCross)
      result.append("c");
  }
  return result;
}
 
/* No documentation as it is a property getter */
int QCPAxis::tickLengthIn() const
{
  return mAxisPainter->tickLengthIn;
}
 
/* No documentation as it is a property getter */
int QCPAxis::tickLengthOut() const
{
  return mAxisPainter->tickLengthOut;
}
 
/* No documentation as it is a property getter */
int QCPAxis::subTickLengthIn() const
{
  return mAxisPainter->subTickLengthIn;
}
 
/* No documentation as it is a property getter */
int QCPAxis::subTickLengthOut() const
{
  return mAxisPainter->subTickLengthOut;
}
 
/* No documentation as it is a property getter */
int QCPAxis::labelPadding() const
{
  return mAxisPainter->labelPadding;
}
 
/* No documentation as it is a property getter */
int QCPAxis::offset() const
{
  return mAxisPainter->offset;
}
 
/* No documentation as it is a property getter */
QCPLineEnding QCPAxis::lowerEnding() const
{
  return mAxisPainter->lowerEnding;
}
 
/* No documentation as it is a property getter */
QCPLineEnding QCPAxis::upperEnding() const
{
  return mAxisPainter->upperEnding;
}
 
void QCPAxis::setScaleType(QCPAxis::ScaleType type)
{
  if (mScaleType != type)
  {
    mScaleType = type;
    if (mScaleType == stLogarithmic)
      setRange(mRange.sanitizedForLogScale());
    mCachedMarginValid = false;
    emit scaleTypeChanged(mScaleType);
  }
}
 
void QCPAxis::setScaleLogBase(double base)
{
  if (base > 1)
  {
    mScaleLogBase = base;
    mScaleLogBaseLogInv = 1.0/qLn(mScaleLogBase); // buffer for faster baseLog() calculation
    mCachedMarginValid = false;
  } else
    qDebug() << Q_FUNC_INFO << "Invalid logarithmic scale base (must be greater 1):" << base;
}
 
void QCPAxis::setRange(const QCPRange &range)
{
  if (range.lower == mRange.lower && range.upper == mRange.upper)
    return;
  
  if (!QCPRange::validRange(range)) return;
  QCPRange oldRange = mRange;
  if (mScaleType == stLogarithmic)
  {
    mRange = range.sanitizedForLogScale();
  } else
  {
    mRange = range.sanitizedForLinScale();
  }
  mCachedMarginValid = false;
  emit rangeChanged(mRange);
  emit rangeChanged(mRange, oldRange);
}
 
void QCPAxis::setSelectableParts(const SelectableParts &selectable)
{
  if (mSelectableParts != selectable)
  {
    mSelectableParts = selectable;
    emit selectableChanged(mSelectableParts);
  }
}
 
void QCPAxis::setSelectedParts(const SelectableParts &selected)
{
  if (mSelectedParts != selected)
  {
    mSelectedParts = selected;
    emit selectionChanged(mSelectedParts);
  }
}
 
void QCPAxis::setRange(double lower, double upper)
{
  if (lower == mRange.lower && upper == mRange.upper)
    return;
  
  if (!QCPRange::validRange(lower, upper)) return;
  QCPRange oldRange = mRange;
  mRange.lower = lower;
  mRange.upper = upper;
  if (mScaleType == stLogarithmic)
  {
    mRange = mRange.sanitizedForLogScale();
  } else
  {
    mRange = mRange.sanitizedForLinScale();
  }
  mCachedMarginValid = false;
  emit rangeChanged(mRange);
  emit rangeChanged(mRange, oldRange);
}
 
void QCPAxis::setRange(double position, double size, Qt::AlignmentFlag alignment)
{
  if (alignment == Qt::AlignLeft)
    setRange(position, position+size);
  else if (alignment == Qt::AlignRight)
    setRange(position-size, position);
  else // alignment == Qt::AlignCenter
    setRange(position-size/2.0, position+size/2.0);
}
 
void QCPAxis::setRangeLower(double lower)
{
  if (mRange.lower == lower)
    return;
  
  QCPRange oldRange = mRange;
  mRange.lower = lower;
  if (mScaleType == stLogarithmic)
  {
    mRange = mRange.sanitizedForLogScale();
  } else
  {
    mRange = mRange.sanitizedForLinScale();
  }
  mCachedMarginValid = false;
  emit rangeChanged(mRange);
  emit rangeChanged(mRange, oldRange);
}
 
void QCPAxis::setRangeUpper(double upper)
{
  if (mRange.upper == upper)
    return;
  
  QCPRange oldRange = mRange;
  mRange.upper = upper;
  if (mScaleType == stLogarithmic)
  {
    mRange = mRange.sanitizedForLogScale();
  } else
  {
    mRange = mRange.sanitizedForLinScale();
  }
  mCachedMarginValid = false;
  emit rangeChanged(mRange);
  emit rangeChanged(mRange, oldRange);
}
 
void QCPAxis::setRangeReversed(bool reversed)
{
  if (mRangeReversed != reversed)
  {
    mRangeReversed = reversed;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setAutoTicks(bool on)
{
  if (mAutoTicks != on)
  {
    mAutoTicks = on;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setAutoTickCount(int approximateCount)
{
  if (mAutoTickCount != approximateCount)
  {
    if (approximateCount > 0)
    {
      mAutoTickCount = approximateCount;
      mCachedMarginValid = false;
    } else
      qDebug() << Q_FUNC_INFO << "approximateCount must be greater than zero:" << approximateCount;
  }
}
 
void QCPAxis::setAutoTickLabels(bool on)
{
  if (mAutoTickLabels != on)
  {
    mAutoTickLabels = on;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setAutoTickStep(bool on)
{
  if (mAutoTickStep != on)
  {
    mAutoTickStep = on;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setAutoSubTicks(bool on)
{
  if (mAutoSubTicks != on)
  {
    mAutoSubTicks = on;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setTicks(bool show)
{
  if (mTicks != show)
  {
    mTicks = show;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setTickLabels(bool show)
{
  if (mTickLabels != show)
  {
    mTickLabels = show;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setTickLabelPadding(int padding)
{
  if (mAxisPainter->tickLabelPadding != padding)
  {
    mAxisPainter->tickLabelPadding = padding;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setTickLabelType(LabelType type)
{
  if (mTickLabelType != type)
  {
    mTickLabelType = type;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setTickLabelFont(const QFont &font)
{
  if (font != mTickLabelFont)
  {
    mTickLabelFont = font;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setTickLabelColor(const QColor &color)
{
  if (color != mTickLabelColor)
  {
    mTickLabelColor = color;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setTickLabelRotation(double degrees)
{
  if (!qFuzzyIsNull(degrees-mAxisPainter->tickLabelRotation))
  {
    mAxisPainter->tickLabelRotation = qBound(-90.0, degrees, 90.0);
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setDateTimeFormat(const QString &format)
{
  if (mDateTimeFormat != format)
  {
    mDateTimeFormat = format;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setDateTimeSpec(const Qt::TimeSpec &timeSpec)
{
  mDateTimeSpec = timeSpec;
}
 
void QCPAxis::setNumberFormat(const QString &formatCode)
{
  if (formatCode.isEmpty())
  {
    qDebug() << Q_FUNC_INFO << "Passed formatCode is empty";
    return;
  }
  mCachedMarginValid = false;
  
  // interpret first char as number format char:
  QString allowedFormatChars = "eEfgG";
  if (allowedFormatChars.contains(formatCode.at(0)))
  {
    mNumberFormatChar = formatCode.at(0).toLatin1();
  } else
  {
    qDebug() << Q_FUNC_INFO << "Invalid number format code (first char not in 'eEfgG'):" << formatCode;
    return;
  }
  if (formatCode.length() < 2)
  {
    mNumberBeautifulPowers = false;
    mAxisPainter->numberMultiplyCross = false;
    return;
  }
  
  // interpret second char as indicator for beautiful decimal powers:
  if (formatCode.at(1) == 'b' && (mNumberFormatChar == 'e' || mNumberFormatChar == 'g'))
  {
    mNumberBeautifulPowers = true;
  } else
  {
    qDebug() << Q_FUNC_INFO << "Invalid number format code (second char not 'b' or first char neither 'e' nor 'g'):" << formatCode;
    return;
  }
  if (formatCode.length() < 3)
  {
    mAxisPainter->numberMultiplyCross = false;
    return;
  }
  
  // interpret third char as indicator for dot or cross multiplication symbol:
  if (formatCode.at(2) == 'c')
  {
    mAxisPainter->numberMultiplyCross = true;
  } else if (formatCode.at(2) == 'd')
  {
    mAxisPainter->numberMultiplyCross = false;
  } else
  {
    qDebug() << Q_FUNC_INFO << "Invalid number format code (third char neither 'c' nor 'd'):" << formatCode;
    return;
  }
}
 
void QCPAxis::setNumberPrecision(int precision)
{
  if (mNumberPrecision != precision)
  {
    mNumberPrecision = precision;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setTickStep(double step)
{
  if (mTickStep != step)
  {
    mTickStep = step;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setTickVector(const QVector<double> &vec)
{
  // don't check whether mTickVector != vec here, because it takes longer than we would save
  mTickVector = vec;
  mCachedMarginValid = false;
}
 
void QCPAxis::setTickVectorLabels(const QVector<QString> &vec)
{
  // don't check whether mTickVectorLabels != vec here, because it takes longer than we would save
  mTickVectorLabels = vec;
  mCachedMarginValid = false;
}
 
void QCPAxis::setTickLength(int inside, int outside)
{
  setTickLengthIn(inside);
  setTickLengthOut(outside);
}
 
void QCPAxis::setTickLengthIn(int inside)
{
  if (mAxisPainter->tickLengthIn != inside)
  {
    mAxisPainter->tickLengthIn = inside;
  }
}
 
void QCPAxis::setTickLengthOut(int outside)
{
  if (mAxisPainter->tickLengthOut != outside)
  {
    mAxisPainter->tickLengthOut = outside;
    mCachedMarginValid = false; // only outside tick length can change margin
  }
}
 
void QCPAxis::setSubTickCount(int count)
{
  mSubTickCount = count;
}
 
void QCPAxis::setSubTickLength(int inside, int outside)
{
  setSubTickLengthIn(inside);
  setSubTickLengthOut(outside);
}
 
void QCPAxis::setSubTickLengthIn(int inside)
{
  if (mAxisPainter->subTickLengthIn != inside)
  {
    mAxisPainter->subTickLengthIn = inside;
  }
}
 
void QCPAxis::setSubTickLengthOut(int outside)
{
  if (mAxisPainter->subTickLengthOut != outside)
  {
    mAxisPainter->subTickLengthOut = outside;
    mCachedMarginValid = false; // only outside tick length can change margin
  }
}
 
void QCPAxis::setBasePen(const QPen &pen)
{
  mBasePen = pen;
}
 
void QCPAxis::setTickPen(const QPen &pen)
{
  mTickPen = pen;
}
 
void QCPAxis::setSubTickPen(const QPen &pen)
{
  mSubTickPen = pen;
}
 
void QCPAxis::setLabelFont(const QFont &font)
{
  if (mLabelFont != font)
  {
    mLabelFont = font;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setLabelColor(const QColor &color)
{
  mLabelColor = color;
}
 
void QCPAxis::setLabel(const QString &str)
{
  if (mLabel != str)
  {
    mLabel = str;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setLabelPadding(int padding)
{
  if (mAxisPainter->labelPadding != padding)
  {
    mAxisPainter->labelPadding = padding;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setPadding(int padding)
{
  if (mPadding != padding)
  {
    mPadding = padding;
    mCachedMarginValid = false;
  }
}
 
void QCPAxis::setOffset(int offset)
{
  mAxisPainter->offset = offset;
}
 
void QCPAxis::setSelectedTickLabelFont(const QFont &font)
{
  if (font != mSelectedTickLabelFont)
  {
    mSelectedTickLabelFont = font;
    // don't set mCachedMarginValid to false here because margin calculation is always done with non-selected fonts
  }
}
 
void QCPAxis::setSelectedLabelFont(const QFont &font)
{
  mSelectedLabelFont = font;
  // don't set mCachedMarginValid to false here because margin calculation is always done with non-selected fonts
}
 
void QCPAxis::setSelectedTickLabelColor(const QColor &color)
{
  if (color != mSelectedTickLabelColor)
  {
    mSelectedTickLabelColor = color;
  }
}
 
void QCPAxis::setSelectedLabelColor(const QColor &color)
{
  mSelectedLabelColor = color;
}
 
void QCPAxis::setSelectedBasePen(const QPen &pen)
{
  mSelectedBasePen = pen;
}
 
void QCPAxis::setSelectedTickPen(const QPen &pen)
{
  mSelectedTickPen = pen;
}
 
void QCPAxis::setSelectedSubTickPen(const QPen &pen)
{
  mSelectedSubTickPen = pen;
}
 
void QCPAxis::setLowerEnding(const QCPLineEnding &ending)
{
  mAxisPainter->lowerEnding = ending;
}
 
void QCPAxis::setUpperEnding(const QCPLineEnding &ending)
{
  mAxisPainter->upperEnding = ending;
}
 
void QCPAxis::moveRange(double diff)
{
  QCPRange oldRange = mRange;
  if (mScaleType == stLinear)
  {
    mRange.lower += diff;
    mRange.upper += diff;
  } else // mScaleType == stLogarithmic
  {
    mRange.lower *= diff;
    mRange.upper *= diff;
  }
  mCachedMarginValid = false;
  emit rangeChanged(mRange);
  emit rangeChanged(mRange, oldRange);
}
 
void QCPAxis::scaleRange(double factor, double center)
{
  QCPRange oldRange = mRange;
  if (mScaleType == stLinear)
  {
    QCPRange newRange;
    newRange.lower = (mRange.lower-center)*factor + center;
    newRange.upper = (mRange.upper-center)*factor + center;
    if (QCPRange::validRange(newRange))
      mRange = newRange.sanitizedForLinScale();
  } else // mScaleType == stLogarithmic
  {
    if ((mRange.upper < 0 && center < 0) || (mRange.upper > 0 && center > 0)) // make sure center has same sign as range
    {
      QCPRange newRange;
      newRange.lower = pow(mRange.lower/center, factor)*center;
      newRange.upper = pow(mRange.upper/center, factor)*center;
      if (QCPRange::validRange(newRange))
        mRange = newRange.sanitizedForLogScale();
    } else
      qDebug() << Q_FUNC_INFO << "Center of scaling operation doesn't lie in same logarithmic sign domain as range:" << center;
  }
  mCachedMarginValid = false;
  emit rangeChanged(mRange);
  emit rangeChanged(mRange, oldRange);
}
 
void QCPAxis::setScaleRatio(const QCPAxis *otherAxis, double ratio)
{
  int otherPixelSize, ownPixelSize;
  
  if (otherAxis->orientation() == Qt::Horizontal)
    otherPixelSize = otherAxis->axisRect()->width();
  else
    otherPixelSize = otherAxis->axisRect()->height();
  
  if (orientation() == Qt::Horizontal)
    ownPixelSize = axisRect()->width();
  else
    ownPixelSize = axisRect()->height();
  
  double newRangeSize = ratio*otherAxis->range().size()*ownPixelSize/(double)otherPixelSize;
  setRange(range().center(), newRangeSize, Qt::AlignCenter);
}
 
void QCPAxis::rescale(bool onlyVisiblePlottables)
{
  QList<QCPAbstractPlottable*> p = plottables();
  QCPRange newRange;
  bool haveRange = false;
  for (int i=0; i<p.size(); ++i)
  {
    if (!p.at(i)->realVisibility() && onlyVisiblePlottables)
      continue;
    QCPRange plottableRange;
    bool currentFoundRange;
    QCPAbstractPlottable::SignDomain signDomain = QCPAbstractPlottable::sdBoth;
    if (mScaleType == stLogarithmic)
      signDomain = (mRange.upper < 0 ? QCPAbstractPlottable::sdNegative : QCPAbstractPlottable::sdPositive);
    if (p.at(i)->keyAxis() == this)
      plottableRange = p.at(i)->getKeyRange(currentFoundRange, signDomain);
    else
      plottableRange = p.at(i)->getValueRange(currentFoundRange, signDomain);
    if (currentFoundRange)
    {
      if (!haveRange)
        newRange = plottableRange;
      else
        newRange.expand(plottableRange);
      haveRange = true;
    }
  }
  if (haveRange)
  {
    if (!QCPRange::validRange(newRange)) // likely due to range being zero (plottable has only constant data in this axis dimension), shift current range to at least center the plottable
    {
      double center = (newRange.lower+newRange.upper)*0.5; // upper and lower should be equal anyway, but just to make sure, incase validRange returned false for other reason
      if (mScaleType == stLinear)
      {
        newRange.lower = center-mRange.size()/2.0;
        newRange.upper = center+mRange.size()/2.0;
      } else // mScaleType == stLogarithmic
      {
        newRange.lower = center/qSqrt(mRange.upper/mRange.lower);
        newRange.upper = center*qSqrt(mRange.upper/mRange.lower);
      }
    }
    setRange(newRange);
  }
}
 
double QCPAxis::pixelToCoord(double value) const
{
  if (orientation() == Qt::Horizontal)
  {
    if (mScaleType == stLinear)
    {
      if (!mRangeReversed)
        return (value-mAxisRect->left())/(double)mAxisRect->width()*mRange.size()+mRange.lower;
      else
        return -(value-mAxisRect->left())/(double)mAxisRect->width()*mRange.size()+mRange.upper;
    } else // mScaleType == stLogarithmic
    {
      if (!mRangeReversed)
        return pow(mRange.upper/mRange.lower, (value-mAxisRect->left())/(double)mAxisRect->width())*mRange.lower;
      else
        return pow(mRange.upper/mRange.lower, (mAxisRect->left()-value)/(double)mAxisRect->width())*mRange.upper;
    }
  } else // orientation() == Qt::Vertical
  {
    if (mScaleType == stLinear)
    {
      if (!mRangeReversed)
        return (mAxisRect->bottom()-value)/(double)mAxisRect->height()*mRange.size()+mRange.lower;
      else
        return -(mAxisRect->bottom()-value)/(double)mAxisRect->height()*mRange.size()+mRange.upper;
    } else // mScaleType == stLogarithmic
    {
      if (!mRangeReversed)
        return pow(mRange.upper/mRange.lower, (mAxisRect->bottom()-value)/(double)mAxisRect->height())*mRange.lower;
      else
        return pow(mRange.upper/mRange.lower, (value-mAxisRect->bottom())/(double)mAxisRect->height())*mRange.upper;
    }
  }
}
 
double QCPAxis::coordToPixel(double value) const
{
  if (orientation() == Qt::Horizontal)
  {
    if (mScaleType == stLinear)
    {
      if (!mRangeReversed)
        return (value-mRange.lower)/mRange.size()*mAxisRect->width()+mAxisRect->left();
      else
        return (mRange.upper-value)/mRange.size()*mAxisRect->width()+mAxisRect->left();
    } else // mScaleType == stLogarithmic
    {
      if (value >= 0 && mRange.upper < 0) // invalid value for logarithmic scale, just draw it outside visible range
        return !mRangeReversed ? mAxisRect->right()+200 : mAxisRect->left()-200;
      else if (value <= 0 && mRange.upper > 0) // invalid value for logarithmic scale, just draw it outside visible range
        return !mRangeReversed ? mAxisRect->left()-200 : mAxisRect->right()+200;
      else
      {
        if (!mRangeReversed)
          return baseLog(value/mRange.lower)/baseLog(mRange.upper/mRange.lower)*mAxisRect->width()+mAxisRect->left();
        else
          return baseLog(mRange.upper/value)/baseLog(mRange.upper/mRange.lower)*mAxisRect->width()+mAxisRect->left();
      }
    }
  } else // orientation() == Qt::Vertical
  {
    if (mScaleType == stLinear)
    {
      if (!mRangeReversed)
        return mAxisRect->bottom()-(value-mRange.lower)/mRange.size()*mAxisRect->height();
      else
        return mAxisRect->bottom()-(mRange.upper-value)/mRange.size()*mAxisRect->height();
    } else // mScaleType == stLogarithmic
    {
      if (value >= 0 && mRange.upper < 0) // invalid value for logarithmic scale, just draw it outside visible range
        return !mRangeReversed ? mAxisRect->top()-200 : mAxisRect->bottom()+200;
      else if (value <= 0 && mRange.upper > 0) // invalid value for logarithmic scale, just draw it outside visible range
        return !mRangeReversed ? mAxisRect->bottom()+200 : mAxisRect->top()-200;
      else
      {
        if (!mRangeReversed)
          return mAxisRect->bottom()-baseLog(value/mRange.lower)/baseLog(mRange.upper/mRange.lower)*mAxisRect->height();
        else
          return mAxisRect->bottom()-baseLog(mRange.upper/value)/baseLog(mRange.upper/mRange.lower)*mAxisRect->height();
      }
    }
  }
}
 
QCPAxis::SelectablePart QCPAxis::getPartAt(const QPointF &pos) const
{
  if (!mVisible)
    return spNone;
  
  if (mAxisPainter->axisSelectionBox().contains(pos.toPoint()))
    return spAxis;
  else if (mAxisPainter->tickLabelsSelectionBox().contains(pos.toPoint()))
    return spTickLabels;
  else if (mAxisPainter->labelSelectionBox().contains(pos.toPoint()))
    return spAxisLabel;
  else
    return spNone;
}
 
/* inherits documentation from base class */
double QCPAxis::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  if (!mParentPlot) return -1;
  SelectablePart part = getPartAt(pos);
  if ((onlySelectable && !mSelectableParts.testFlag(part)) || part == spNone)
    return -1;
  
  if (details)
    details->setValue(part);
  return mParentPlot->selectionTolerance()*0.99;
}
 
QList<QCPAbstractPlottable*> QCPAxis::plottables() const
{
  QList<QCPAbstractPlottable*> result;
  if (!mParentPlot) return result;
  
  for (int i=0; i<mParentPlot->mPlottables.size(); ++i)
  {
    if (mParentPlot->mPlottables.at(i)->keyAxis() == this ||mParentPlot->mPlottables.at(i)->valueAxis() == this)
      result.append(mParentPlot->mPlottables.at(i));
  }
  return result;
}
 
QList<QCPGraph*> QCPAxis::graphs() const
{
  QList<QCPGraph*> result;
  if (!mParentPlot) return result;
  
  for (int i=0; i<mParentPlot->mGraphs.size(); ++i)
  {
    if (mParentPlot->mGraphs.at(i)->keyAxis() == this || mParentPlot->mGraphs.at(i)->valueAxis() == this)
      result.append(mParentPlot->mGraphs.at(i));
  }
  return result;
}
 
QList<QCPAbstractItem*> QCPAxis::items() const
{
  QList<QCPAbstractItem*> result;
  if (!mParentPlot) return result;
  
  for (int itemId=0; itemId<mParentPlot->mItems.size(); ++itemId)
  {
    QList<QCPItemPosition*> positions = mParentPlot->mItems.at(itemId)->positions();
    for (int posId=0; posId<positions.size(); ++posId)
    {
      if (positions.at(posId)->keyAxis() == this || positions.at(posId)->valueAxis() == this)
      {
        result.append(mParentPlot->mItems.at(itemId));
        break;
      }
    }
  }
  return result;
}
 
QCPAxis::AxisType QCPAxis::marginSideToAxisType(QCP::MarginSide side)
{
  switch (side)
  {
    case QCP::msLeft: return atLeft;
    case QCP::msRight: return atRight;
    case QCP::msTop: return atTop;
    case QCP::msBottom: return atBottom;
    default: break;
  }
  qDebug() << Q_FUNC_INFO << "Invalid margin side passed:" << (int)side;
  return atLeft;
}
 
QCPAxis::AxisType QCPAxis::opposite(QCPAxis::AxisType type)
{
  switch (type)
  {
    case atLeft: return atRight; break;
    case atRight: return atLeft; break;
    case atBottom: return atTop; break;
    case atTop: return atBottom; break;
    default: qDebug() << Q_FUNC_INFO << "invalid axis type"; return atLeft; break;
  }
}
 
void QCPAxis::setupTickVectors()
{
  if (!mParentPlot) return;
  if ((!mTicks && !mTickLabels && !mGrid->visible()) || mRange.size() <= 0) return;
  
  // fill tick vectors, either by auto generating or by notifying user to fill the vectors himself
  if (mAutoTicks)
  {
    generateAutoTicks();
  } else
  {
    emit ticksRequest();
  }
  
  visibleTickBounds(mLowestVisibleTick, mHighestVisibleTick);
  if (mTickVector.isEmpty())
  {
    mSubTickVector.clear();
    return;
  }
  
  // generate subticks between ticks:
  mSubTickVector.resize((mTickVector.size()-1)*mSubTickCount);
  if (mSubTickCount > 0)
  {
    double subTickStep = 0;
    double subTickPosition = 0;
    int subTickIndex = 0;
    bool done = false;
    int lowTick = mLowestVisibleTick > 0 ? mLowestVisibleTick-1 : mLowestVisibleTick;
    int highTick = mHighestVisibleTick < mTickVector.size()-1 ? mHighestVisibleTick+1 : mHighestVisibleTick;
    for (int i=lowTick+1; i<=highTick; ++i)
    {
      subTickStep = (mTickVector.at(i)-mTickVector.at(i-1))/(double)(mSubTickCount+1);
      for (int k=1; k<=mSubTickCount; ++k)
      {
        subTickPosition = mTickVector.at(i-1) + k*subTickStep;
        if (subTickPosition < mRange.lower)
          continue;
        if (subTickPosition > mRange.upper)
        {
          done = true;
          break;
        }
        mSubTickVector[subTickIndex] = subTickPosition;
        subTickIndex++;
      }
      if (done) break;
    }
    mSubTickVector.resize(subTickIndex);
  }
 
  // generate tick labels according to tick positions:
  if (mAutoTickLabels)
  {
    int vecsize = mTickVector.size();
    mTickVectorLabels.resize(vecsize);
    if (mTickLabelType == ltNumber)
    {
      for (int i=mLowestVisibleTick; i<=mHighestVisibleTick; ++i)
        mTickVectorLabels[i] = mParentPlot->locale().toString(mTickVector.at(i), mNumberFormatChar, mNumberPrecision);
    } else if (mTickLabelType == ltDateTime)
    {
      for (int i=mLowestVisibleTick; i<=mHighestVisibleTick; ++i)
      {
#if QT_VERSION < QT_VERSION_CHECK(4, 7, 0) // use fromMSecsSinceEpoch function if available, to gain sub-second accuracy on tick labels (e.g. for format "hh:mm:ss:zzz")
        mTickVectorLabels[i] = mParentPlot->locale().toString(QDateTime::fromTime_t(mTickVector.at(i)).toTimeSpec(mDateTimeSpec), mDateTimeFormat);
#else
        mTickVectorLabels[i] = mParentPlot->locale().toString(QDateTime::fromMSecsSinceEpoch(mTickVector.at(i)*1000).toTimeSpec(mDateTimeSpec), mDateTimeFormat);
#endif
      }
    }
  } else // mAutoTickLabels == false
  {
    if (mAutoTicks) // ticks generated automatically, but not ticklabels, so emit ticksRequest here for labels
    {
      emit ticksRequest();
    }
    // make sure provided tick label vector has correct (minimal) length:
    if (mTickVectorLabels.size() < mTickVector.size())
      mTickVectorLabels.resize(mTickVector.size());
  }
}
 
void QCPAxis::generateAutoTicks()
{
  if (mScaleType == stLinear)
  {
    if (mAutoTickStep)
    {
      // Generate tick positions according to linear scaling:
      mTickStep = mRange.size()/(double)(mAutoTickCount+1e-10); // mAutoTickCount ticks on average, the small addition is to prevent jitter on exact integers
      double magnitudeFactor = qPow(10.0, qFloor(qLn(mTickStep)/qLn(10.0))); // get magnitude factor e.g. 0.01, 1, 10, 1000 etc.
      double tickStepMantissa = mTickStep/magnitudeFactor;
      if (tickStepMantissa < 5)
      {
        // round digit after decimal point to 0.5
        mTickStep = (int)(tickStepMantissa*2)/2.0*magnitudeFactor;
      } else
      {
        // round to first digit in multiples of 2
        mTickStep = (int)(tickStepMantissa/2.0)*2.0*magnitudeFactor;
      }
    }
    if (mAutoSubTicks)
      mSubTickCount = calculateAutoSubTickCount(mTickStep);
    // Generate tick positions according to mTickStep:
    qint64 firstStep = floor(mRange.lower/mTickStep);
    qint64 lastStep = ceil(mRange.upper/mTickStep);
    int tickcount = lastStep-firstStep+1;
    if (tickcount < 0) tickcount = 0;
    mTickVector.resize(tickcount);
    for (int i=0; i<tickcount; ++i)
      mTickVector[i] = (firstStep+i)*mTickStep;
  } else // mScaleType == stLogarithmic
  {
    // Generate tick positions according to logbase scaling:
    if (mRange.lower > 0 && mRange.upper > 0) // positive range
    {
      double lowerMag = basePow((int)floor(baseLog(mRange.lower)));
      double currentMag = lowerMag;
      mTickVector.clear();
      mTickVector.append(currentMag);
      while (currentMag < mRange.upper && currentMag > 0) // currentMag might be zero for ranges ~1e-300, just cancel in that case
      {
        currentMag *= mScaleLogBase;
        mTickVector.append(currentMag);
      }
    } else if (mRange.lower < 0 && mRange.upper < 0) // negative range
    {
      double lowerMag = -basePow((int)ceil(baseLog(-mRange.lower)));
      double currentMag = lowerMag;
      mTickVector.clear();
      mTickVector.append(currentMag);
      while (currentMag < mRange.upper && currentMag < 0) // currentMag might be zero for ranges ~1e-300, just cancel in that case
      {
        currentMag /= mScaleLogBase;
        mTickVector.append(currentMag);
      }
    } else // invalid range for logarithmic scale, because lower and upper have different sign
    {
      mTickVector.clear();
      qDebug() << Q_FUNC_INFO << "Invalid range for logarithmic plot: " << mRange.lower << "-" << mRange.upper;
    }
  }
}
 
int QCPAxis::calculateAutoSubTickCount(double tickStep) const
{
  int result = mSubTickCount; // default to current setting, if no proper value can be found
  
  // get mantissa of tickstep:
  double magnitudeFactor = qPow(10.0, qFloor(qLn(tickStep)/qLn(10.0))); // get magnitude factor e.g. 0.01, 1, 10, 1000 etc.
  double tickStepMantissa = tickStep/magnitudeFactor;
  
  // separate integer and fractional part of mantissa:
  double epsilon = 0.01;
  double intPartf;
  int intPart;
  double fracPart = modf(tickStepMantissa, &intPartf);
  intPart = intPartf;
  
  // handle cases with (almost) integer mantissa:
  if (fracPart < epsilon || 1.0-fracPart < epsilon)
  {
    if (1.0-fracPart < epsilon)
      ++intPart;
    switch (intPart)
    {
      case 1: result = 4; break; // 1.0 -> 0.2 substep
      case 2: result = 3; break; // 2.0 -> 0.5 substep
      case 3: result = 2; break; // 3.0 -> 1.0 substep
      case 4: result = 3; break; // 4.0 -> 1.0 substep
      case 5: result = 4; break; // 5.0 -> 1.0 substep
      case 6: result = 2; break; // 6.0 -> 2.0 substep
      case 7: result = 6; break; // 7.0 -> 1.0 substep
      case 8: result = 3; break; // 8.0 -> 2.0 substep
      case 9: result = 2; break; // 9.0 -> 3.0 substep
    }
  } else
  {
    // handle cases with significantly fractional mantissa:
    if (qAbs(fracPart-0.5) < epsilon) // *.5 mantissa
    {
      switch (intPart)
      {
        case 1: result = 2; break; // 1.5 -> 0.5 substep
        case 2: result = 4; break; // 2.5 -> 0.5 substep
        case 3: result = 4; break; // 3.5 -> 0.7 substep
        case 4: result = 2; break; // 4.5 -> 1.5 substep
        case 5: result = 4; break; // 5.5 -> 1.1 substep (won't occur with autoTickStep from here on)
        case 6: result = 4; break; // 6.5 -> 1.3 substep
        case 7: result = 2; break; // 7.5 -> 2.5 substep
        case 8: result = 4; break; // 8.5 -> 1.7 substep
        case 9: result = 4; break; // 9.5 -> 1.9 substep
      }
    }
    // if mantissa fraction isnt 0.0 or 0.5, don't bother finding good sub tick marks, leave default
  }
  
  return result;
}
 
/* inherits documentation from base class */
void QCPAxis::selectEvent(QMouseEvent *event, bool additive, const QVariant &details, bool *selectionStateChanged)
{
  Q_UNUSED(event)
  SelectablePart part = details.value<SelectablePart>();
  if (mSelectableParts.testFlag(part))
  {
    SelectableParts selBefore = mSelectedParts;
    setSelectedParts(additive ? mSelectedParts^part : part);
    if (selectionStateChanged)
      *selectionStateChanged = mSelectedParts != selBefore;
  }
}
 
/* inherits documentation from base class */
void QCPAxis::deselectEvent(bool *selectionStateChanged)
{
  SelectableParts selBefore = mSelectedParts;
  setSelectedParts(mSelectedParts & ~mSelectableParts);
  if (selectionStateChanged)
    *selectionStateChanged = mSelectedParts != selBefore;
}
 
void QCPAxis::applyDefaultAntialiasingHint(QCPPainter *painter) const
{
  applyAntialiasingHint(painter, mAntialiased, QCP::aeAxes);
}
 
void QCPAxis::draw(QCPPainter *painter)
{
  const int lowTick = mLowestVisibleTick;
  const int highTick = mHighestVisibleTick;
  QVector<double> subTickPositions; // the final coordToPixel transformed vector passed to QCPAxisPainter
  QVector<double> tickPositions; // the final coordToPixel transformed vector passed to QCPAxisPainter
  QVector<QString> tickLabels; // the final vector passed to QCPAxisPainter
  tickPositions.reserve(highTick-lowTick+1);
  tickLabels.reserve(highTick-lowTick+1);
  subTickPositions.reserve(mSubTickVector.size());
  
  if (mTicks)
  {
    for (int i=lowTick; i<=highTick; ++i)
    {
      tickPositions.append(coordToPixel(mTickVector.at(i)));
      if (mTickLabels)
        tickLabels.append(mTickVectorLabels.at(i));
    }
    
    if (mSubTickCount > 0)
    {
      const int subTickCount = mSubTickVector.size();
      for (int i=0; i<subTickCount; ++i) // no need to check bounds because subticks are always only created inside current mRange
        subTickPositions.append(coordToPixel(mSubTickVector.at(i)));
    }
  }
  // transfer all properties of this axis to QCPAxisPainterPrivate which it needs to draw the axis.
  // Note that some axis painter properties are already set by direct feed-through with QCPAxis setters
  mAxisPainter->type = mAxisType;
  mAxisPainter->basePen = getBasePen();
  mAxisPainter->labelFont = getLabelFont();
  mAxisPainter->labelColor = getLabelColor();
  mAxisPainter->label = mLabel;
  mAxisPainter->substituteExponent = mAutoTickLabels && mNumberBeautifulPowers && mTickLabelType == ltNumber;
  mAxisPainter->tickPen = getTickPen();
  mAxisPainter->subTickPen = getSubTickPen();
  mAxisPainter->tickLabelFont = getTickLabelFont();
  mAxisPainter->tickLabelColor = getTickLabelColor();
  mAxisPainter->alignmentRect = mAxisRect->rect();
  mAxisPainter->viewportRect = mParentPlot->viewport();
  mAxisPainter->abbreviateDecimalPowers = mScaleType == stLogarithmic;
  mAxisPainter->reversedEndings = mRangeReversed;
  mAxisPainter->tickPositions = tickPositions;
  mAxisPainter->tickLabels = tickLabels;
  mAxisPainter->subTickPositions = subTickPositions;
  mAxisPainter->draw(painter);
}
 
void QCPAxis::visibleTickBounds(int &lowIndex, int &highIndex) const
{
  bool lowFound = false;
  bool highFound = false;
  lowIndex = 0;
  highIndex = -1;
  
  for (int i=0; i < mTickVector.size(); ++i)
  {
    if (mTickVector.at(i) >= mRange.lower)
    {
      lowFound = true;
      lowIndex = i;
      break;
    }
  }
  for (int i=mTickVector.size()-1; i >= 0; --i)
  {
    if (mTickVector.at(i) <= mRange.upper)
    {
      highFound = true;
      highIndex = i;
      break;
    }
  }
  
  if (!lowFound && highFound)
    lowIndex = highIndex+1;
  else if (lowFound && !highFound)
    highIndex = lowIndex-1;
}
 
double QCPAxis::baseLog(double value) const
{
  return qLn(value)*mScaleLogBaseLogInv;
}
 
double QCPAxis::basePow(double value) const
{
  return qPow(mScaleLogBase, value);
}
 
QPen QCPAxis::getBasePen() const
{
  return mSelectedParts.testFlag(spAxis) ? mSelectedBasePen : mBasePen;
}
 
QPen QCPAxis::getTickPen() const
{
  return mSelectedParts.testFlag(spAxis) ? mSelectedTickPen : mTickPen;
}
 
QPen QCPAxis::getSubTickPen() const
{
  return mSelectedParts.testFlag(spAxis) ? mSelectedSubTickPen : mSubTickPen;
}
 
QFont QCPAxis::getTickLabelFont() const
{
  return mSelectedParts.testFlag(spTickLabels) ? mSelectedTickLabelFont : mTickLabelFont;
}
 
QFont QCPAxis::getLabelFont() const
{
  return mSelectedParts.testFlag(spAxisLabel) ? mSelectedLabelFont : mLabelFont;
}
 
QColor QCPAxis::getTickLabelColor() const
{
  return mSelectedParts.testFlag(spTickLabels) ? mSelectedTickLabelColor : mTickLabelColor;
}
 
QColor QCPAxis::getLabelColor() const
{
  return mSelectedParts.testFlag(spAxisLabel) ? mSelectedLabelColor : mLabelColor;
}
 
int QCPAxis::calculateMargin()
{
  if (!mVisible) // if not visible, directly return 0, don't cache 0 because we can't react to setVisible in QCPAxis
    return 0;
  
  if (mCachedMarginValid)
    return mCachedMargin;
  
  // run through similar steps as QCPAxis::draw, and caluclate margin needed to fit axis and its labels
  int margin = 0;
  
  int lowTick, highTick;
  visibleTickBounds(lowTick, highTick);
  QVector<double> tickPositions; // the final coordToPixel transformed vector passed to QCPAxisPainter
  QVector<QString> tickLabels; // the final vector passed to QCPAxisPainter
  tickPositions.reserve(highTick-lowTick+1);
  tickLabels.reserve(highTick-lowTick+1);
  if (mTicks)
  {
    for (int i=lowTick; i<=highTick; ++i)
    {
      tickPositions.append(coordToPixel(mTickVector.at(i)));
      if (mTickLabels)
        tickLabels.append(mTickVectorLabels.at(i));
    }
  }
  // transfer all properties of this axis to QCPAxisPainterPrivate which it needs to calculate the size.
  // Note that some axis painter properties are already set by direct feed-through with QCPAxis setters
  mAxisPainter->type = mAxisType;
  mAxisPainter->labelFont = getLabelFont();
  mAxisPainter->label = mLabel;
  mAxisPainter->tickLabelFont = mTickLabelFont;
  mAxisPainter->alignmentRect = mAxisRect->rect();
  mAxisPainter->viewportRect = mParentPlot->viewport();
  mAxisPainter->tickPositions = tickPositions;
  mAxisPainter->tickLabels = tickLabels;
  margin += mAxisPainter->size();
  margin += mPadding;
 
  mCachedMargin = margin;
  mCachedMarginValid = true;
  return margin;
}
 
/* inherits documentation from base class */
QCP::Interaction QCPAxis::selectionCategory() const
{
  return QCP::iSelectAxes;
}
 
 
 
QCPAxisPainterPrivate::QCPAxisPainterPrivate(QCustomPlot *parentPlot) :
  type(QCPAxis::atLeft),
  basePen(QPen(Qt::black, 0, Qt::SolidLine, Qt::SquareCap)),
  lowerEnding(QCPLineEnding::esNone),
  upperEnding(QCPLineEnding::esNone),
  labelPadding(0),
  tickLabelPadding(0),
  tickLabelRotation(0),
  substituteExponent(true),
  numberMultiplyCross(false),
  tickLengthIn(5),
  tickLengthOut(0),
  subTickLengthIn(2),
  subTickLengthOut(0),
  tickPen(QPen(Qt::black, 0, Qt::SolidLine, Qt::SquareCap)),
  subTickPen(QPen(Qt::black, 0, Qt::SolidLine, Qt::SquareCap)),
  offset(0),
  abbreviateDecimalPowers(false),
  reversedEndings(false),
  mParentPlot(parentPlot),
  mLabelCache(16) // cache at most 16 (tick) labels
{
}
 
QCPAxisPainterPrivate::~QCPAxisPainterPrivate()
{
}
 
void QCPAxisPainterPrivate::draw(QCPPainter *painter)
{
  QByteArray newHash = generateLabelParameterHash();
  if (newHash != mLabelParameterHash)
  {
    mLabelCache.clear();
    mLabelParameterHash = newHash;
  }
  
  QPoint origin;
  switch (type)
  {
    case QCPAxis::atLeft:   origin = alignmentRect.bottomLeft() +QPoint(-offset, 0); break;
    case QCPAxis::atRight:  origin = alignmentRect.bottomRight()+QPoint(+offset, 0); break;
    case QCPAxis::atTop:    origin = alignmentRect.topLeft()    +QPoint(0, -offset); break;
    case QCPAxis::atBottom: origin = alignmentRect.bottomLeft() +QPoint(0, +offset); break;
  }
 
  double xCor = 0, yCor = 0; // paint system correction, for pixel exact matches (affects baselines and ticks of top/right axes)
  switch (type)
  {
    case QCPAxis::atTop: yCor = -1; break;
    case QCPAxis::atRight: xCor = 1; break;
    default: break;
  }
 
  int margin = 0;
  // draw baseline:
  QLineF baseLine;
  painter->setPen(basePen);
  if (QCPAxis::orientation(type) == Qt::Horizontal)
    baseLine.setPoints(origin+QPointF(xCor, yCor), origin+QPointF(alignmentRect.width()+xCor, yCor));
  else
    baseLine.setPoints(origin+QPointF(xCor, yCor), origin+QPointF(xCor, -alignmentRect.height()+yCor));
  if (reversedEndings)
    baseLine = QLineF(baseLine.p2(), baseLine.p1()); // won't make a difference for line itself, but for line endings later
  painter->drawLine(baseLine);
  
  // draw ticks:
  if (!tickPositions.isEmpty())
  {
    painter->setPen(tickPen);
    int tickDir = (type == QCPAxis::atBottom || type == QCPAxis::atRight) ? -1 : 1; // direction of ticks ("inward" is right for left axis and left for right axis)
    if (QCPAxis::orientation(type) == Qt::Horizontal)
    {
      for (int i=0; i<tickPositions.size(); ++i)
        painter->drawLine(QLineF(tickPositions.at(i)+xCor, origin.y()-tickLengthOut*tickDir+yCor, tickPositions.at(i)+xCor, origin.y()+tickLengthIn*tickDir+yCor));
    } else
    {
      for (int i=0; i<tickPositions.size(); ++i)
        painter->drawLine(QLineF(origin.x()-tickLengthOut*tickDir+xCor, tickPositions.at(i)+yCor, origin.x()+tickLengthIn*tickDir+xCor, tickPositions.at(i)+yCor));
    }
  }
  
  // draw subticks:
  if (!subTickPositions.isEmpty())
  {
    painter->setPen(subTickPen);
    // direction of ticks ("inward" is right for left axis and left for right axis)
    int tickDir = (type == QCPAxis::atBottom || type == QCPAxis::atRight) ? -1 : 1;
    if (QCPAxis::orientation(type) == Qt::Horizontal)
    {
      for (int i=0; i<subTickPositions.size(); ++i)
        painter->drawLine(QLineF(subTickPositions.at(i)+xCor, origin.y()-subTickLengthOut*tickDir+yCor, subTickPositions.at(i)+xCor, origin.y()+subTickLengthIn*tickDir+yCor));
    } else
    {
      for (int i=0; i<subTickPositions.size(); ++i)
        painter->drawLine(QLineF(origin.x()-subTickLengthOut*tickDir+xCor, subTickPositions.at(i)+yCor, origin.x()+subTickLengthIn*tickDir+xCor, subTickPositions.at(i)+yCor));
    }
  }
  margin += qMax(0, qMax(tickLengthOut, subTickLengthOut));
  
  // draw axis base endings:
  bool antialiasingBackup = painter->antialiasing();
  painter->setAntialiasing(true); // always want endings to be antialiased, even if base and ticks themselves aren't
  painter->setBrush(QBrush(basePen.color()));
  QVector2D baseLineVector(baseLine.dx(), baseLine.dy());
  if (lowerEnding.style() != QCPLineEnding::esNone)
    lowerEnding.draw(painter, QVector2D(baseLine.p1())-baseLineVector.normalized()*lowerEnding.realLength()*(lowerEnding.inverted()?-1:1), -baseLineVector);
  if (upperEnding.style() != QCPLineEnding::esNone)
    upperEnding.draw(painter, QVector2D(baseLine.p2())+baseLineVector.normalized()*upperEnding.realLength()*(upperEnding.inverted()?-1:1), baseLineVector);
  painter->setAntialiasing(antialiasingBackup);
  
  // tick labels:
  QSize tickLabelsSize(0, 0); // size of largest tick label, for offset calculation of axis label
  if (!tickLabels.isEmpty())
  {
    margin += tickLabelPadding;
    painter->setFont(tickLabelFont);
    painter->setPen(QPen(tickLabelColor));
    const int maxLabelIndex = qMin(tickPositions.size(), tickLabels.size());
    for (int i=0; i<maxLabelIndex; ++i)
      placeTickLabel(painter, tickPositions.at(i), margin, tickLabels.at(i), &tickLabelsSize);
    if (QCPAxis::orientation(type) == Qt::Horizontal)
      margin += tickLabelsSize.height();
    else
      margin += tickLabelsSize.width();
  }
 
  // axis label:
  QRect labelBounds;
  if (!label.isEmpty())
  {
    margin += labelPadding;
    painter->setFont(labelFont);
    painter->setPen(QPen(labelColor));
    labelBounds = painter->fontMetrics().boundingRect(0, 0, 0, 0, Qt::TextDontClip, label);
    if (type == QCPAxis::atLeft)
    {
      QTransform oldTransform = painter->transform();
      painter->translate((origin.x()-margin-labelBounds.height()), origin.y());
      painter->rotate(-90);
      painter->drawText(0, 0, alignmentRect.height(), labelBounds.height(), Qt::TextDontClip | Qt::AlignCenter, label);
      painter->setTransform(oldTransform);
    }
    else if (type == QCPAxis::atRight)
    {
      QTransform oldTransform = painter->transform();
      painter->translate((origin.x()+margin+labelBounds.height()), origin.y()-alignmentRect.height());
      painter->rotate(90);
      painter->drawText(0, 0, alignmentRect.height(), labelBounds.height(), Qt::TextDontClip | Qt::AlignCenter, label);
      painter->setTransform(oldTransform);
    }
    else if (type == QCPAxis::atTop)
      painter->drawText(origin.x(), origin.y()-margin-labelBounds.height(), alignmentRect.width(), labelBounds.height(), Qt::TextDontClip | Qt::AlignCenter, label);
    else if (type == QCPAxis::atBottom)
      painter->drawText(origin.x(), origin.y()+margin, alignmentRect.width(), labelBounds.height(), Qt::TextDontClip | Qt::AlignCenter, label);
  }
  
  // set selection boxes:
  int selectionTolerance = 0;
  if (mParentPlot)
    selectionTolerance = mParentPlot->selectionTolerance();
  else
    qDebug() << Q_FUNC_INFO << "mParentPlot is null";
  int selAxisOutSize = qMax(qMax(tickLengthOut, subTickLengthOut), selectionTolerance);
  int selAxisInSize = selectionTolerance;
  int selTickLabelSize = (QCPAxis::orientation(type) == Qt::Horizontal ? tickLabelsSize.height() : tickLabelsSize.width());
  int selTickLabelOffset = qMax(tickLengthOut, subTickLengthOut)+tickLabelPadding;
  int selLabelSize = labelBounds.height();
  int selLabelOffset = selTickLabelOffset+selTickLabelSize+labelPadding;
  if (type == QCPAxis::atLeft)
  {
    mAxisSelectionBox.setCoords(origin.x()-selAxisOutSize, alignmentRect.top(), origin.x()+selAxisInSize, alignmentRect.bottom());
    mTickLabelsSelectionBox.setCoords(origin.x()-selTickLabelOffset-selTickLabelSize, alignmentRect.top(), origin.x()-selTickLabelOffset, alignmentRect.bottom());
    mLabelSelectionBox.setCoords(origin.x()-selLabelOffset-selLabelSize, alignmentRect.top(), origin.x()-selLabelOffset, alignmentRect.bottom());
  } else if (type == QCPAxis::atRight)
  {
    mAxisSelectionBox.setCoords(origin.x()-selAxisInSize, alignmentRect.top(), origin.x()+selAxisOutSize, alignmentRect.bottom());
    mTickLabelsSelectionBox.setCoords(origin.x()+selTickLabelOffset+selTickLabelSize, alignmentRect.top(), origin.x()+selTickLabelOffset, alignmentRect.bottom());
    mLabelSelectionBox.setCoords(origin.x()+selLabelOffset+selLabelSize, alignmentRect.top(), origin.x()+selLabelOffset, alignmentRect.bottom());
  } else if (type == QCPAxis::atTop)
  {
    mAxisSelectionBox.setCoords(alignmentRect.left(), origin.y()-selAxisOutSize, alignmentRect.right(), origin.y()+selAxisInSize);
    mTickLabelsSelectionBox.setCoords(alignmentRect.left(), origin.y()-selTickLabelOffset-selTickLabelSize, alignmentRect.right(), origin.y()-selTickLabelOffset);
    mLabelSelectionBox.setCoords(alignmentRect.left(), origin.y()-selLabelOffset-selLabelSize, alignmentRect.right(), origin.y()-selLabelOffset);
  } else if (type == QCPAxis::atBottom)
  {
    mAxisSelectionBox.setCoords(alignmentRect.left(), origin.y()-selAxisInSize, alignmentRect.right(), origin.y()+selAxisOutSize);
    mTickLabelsSelectionBox.setCoords(alignmentRect.left(), origin.y()+selTickLabelOffset+selTickLabelSize, alignmentRect.right(), origin.y()+selTickLabelOffset);
    mLabelSelectionBox.setCoords(alignmentRect.left(), origin.y()+selLabelOffset+selLabelSize, alignmentRect.right(), origin.y()+selLabelOffset);
  }
  // draw hitboxes for debug purposes:
  //painter->setBrush(Qt::NoBrush);
  //painter->drawRects(QVector<QRect>() << mAxisSelectionBox << mTickLabelsSelectionBox << mLabelSelectionBox);
}
 
int QCPAxisPainterPrivate::size() const
{
  int result = 0;
  
  // get length of tick marks pointing outwards:
  if (!tickPositions.isEmpty())
    result += qMax(0, qMax(tickLengthOut, subTickLengthOut));
  
  // calculate size of tick labels:
  QSize tickLabelsSize(0, 0);
  if (!tickLabels.isEmpty())
  {
    for (int i=0; i<tickLabels.size(); ++i)
      getMaxTickLabelSize(tickLabelFont, tickLabels.at(i), &tickLabelsSize);
    result += QCPAxis::orientation(type) == Qt::Horizontal ? tickLabelsSize.height() : tickLabelsSize.width();
    result += tickLabelPadding;
  }
  
  // calculate size of axis label (only height needed, because left/right labels are rotated by 90 degrees):
  if (!label.isEmpty())
  {
    QFontMetrics fontMetrics(labelFont);
    QRect bounds;
    bounds = fontMetrics.boundingRect(0, 0, 0, 0, Qt::TextDontClip | Qt::AlignHCenter | Qt::AlignVCenter, label);
    result += bounds.height() + labelPadding;
  }
  
  return result;
}
 
void QCPAxisPainterPrivate::clearCache()
{
  mLabelCache.clear();
}
 
QByteArray QCPAxisPainterPrivate::generateLabelParameterHash() const
{
  QByteArray result;
  result.append(QByteArray::number(tickLabelRotation));
  result.append(QByteArray::number((int)substituteExponent));
  result.append(QByteArray::number((int)numberMultiplyCross));
  result.append(tickLabelColor.name()+QByteArray::number(tickLabelColor.alpha(), 16));
  result.append(tickLabelFont.toString());
  return result;
}
 
void QCPAxisPainterPrivate::placeTickLabel(QCPPainter *painter, double position, int distanceToAxis, const QString &text, QSize *tickLabelsSize)
{
  // warning: if you change anything here, also adapt getMaxTickLabelSize() accordingly!
  if (text.isEmpty()) return;
  QSize finalSize;
  QPointF labelAnchor;
  switch (type)
  {
    case QCPAxis::atLeft:   labelAnchor = QPointF(alignmentRect.left()-distanceToAxis-offset, position); break;
    case QCPAxis::atRight:  labelAnchor = QPointF(alignmentRect.right()+distanceToAxis+offset, position); break;
    case QCPAxis::atTop:    labelAnchor = QPointF(position, alignmentRect.top()-distanceToAxis-offset); break;
    case QCPAxis::atBottom: labelAnchor = QPointF(position, alignmentRect.bottom()+distanceToAxis+offset); break;
  }
  if (mParentPlot->plottingHints().testFlag(QCP::phCacheLabels) && !painter->modes().testFlag(QCPPainter::pmNoCaching)) // label caching enabled
  {
    if (!mLabelCache.contains(text))  // no cached label exists, create it
    {
      CachedLabel *newCachedLabel = new CachedLabel;
      TickLabelData labelData = getTickLabelData(painter->font(), text);
      QPointF drawOffset = getTickLabelDrawOffset(labelData);
      newCachedLabel->offset = drawOffset+labelData.rotatedTotalBounds.topLeft();
      newCachedLabel->pixmap = QPixmap(labelData.rotatedTotalBounds.size());
      newCachedLabel->pixmap.fill(Qt::transparent);
      QCPPainter cachePainter(&newCachedLabel->pixmap);
      cachePainter.setPen(painter->pen());
      drawTickLabel(&cachePainter, -labelData.rotatedTotalBounds.topLeft().x(), -labelData.rotatedTotalBounds.topLeft().y(), labelData);
      mLabelCache.insert(text, newCachedLabel, 1);
    }
    // draw cached label:
    const CachedLabel *cachedLabel = mLabelCache.object(text);
    // if label would be partly clipped by widget border on sides, don't draw it:
    if (QCPAxis::orientation(type) == Qt::Horizontal)
    {
      if (labelAnchor.x()+cachedLabel->offset.x()+cachedLabel->pixmap.width() > viewportRect.right() ||
          labelAnchor.x()+cachedLabel->offset.x() < viewportRect.left())
        return;
    } else
    {
      if (labelAnchor.y()+cachedLabel->offset.y()+cachedLabel->pixmap.height() >viewportRect.bottom() ||
          labelAnchor.y()+cachedLabel->offset.y() < viewportRect.top())
        return;
    }
    painter->drawPixmap(labelAnchor+cachedLabel->offset, cachedLabel->pixmap);
    finalSize = cachedLabel->pixmap.size();
  } else // label caching disabled, draw text directly on surface:
  {
    TickLabelData labelData = getTickLabelData(painter->font(), text);
    QPointF finalPosition = labelAnchor + getTickLabelDrawOffset(labelData);
    // if label would be partly clipped by widget border on sides, don't draw it:
    if (QCPAxis::orientation(type) == Qt::Horizontal)
    {
      if (finalPosition.x()+(labelData.rotatedTotalBounds.width()+labelData.rotatedTotalBounds.left()) > viewportRect.right() ||
          finalPosition.x()+labelData.rotatedTotalBounds.left() < viewportRect.left())
        return;
    } else
    {
      if (finalPosition.y()+(labelData.rotatedTotalBounds.height()+labelData.rotatedTotalBounds.top()) > viewportRect.bottom() ||
          finalPosition.y()+labelData.rotatedTotalBounds.top() < viewportRect.top())
        return;
    }
    drawTickLabel(painter, finalPosition.x(), finalPosition.y(), labelData);
    finalSize = labelData.rotatedTotalBounds.size();
  }
  
  // expand passed tickLabelsSize if current tick label is larger:
  if (finalSize.width() > tickLabelsSize->width())
    tickLabelsSize->setWidth(finalSize.width());
  if (finalSize.height() > tickLabelsSize->height())
    tickLabelsSize->setHeight(finalSize.height());
}
 
void QCPAxisPainterPrivate::drawTickLabel(QCPPainter *painter, double x, double y, const TickLabelData &labelData) const
{
  // backup painter settings that we're about to change:
  QTransform oldTransform = painter->transform();
  QFont oldFont = painter->font();
  
  // transform painter to position/rotation:
  painter->translate(x, y);
  if (!qFuzzyIsNull(tickLabelRotation))
    painter->rotate(tickLabelRotation);
  
  // draw text:
  if (!labelData.expPart.isEmpty()) // indicator that beautiful powers must be used
  {
    painter->setFont(labelData.baseFont);
    painter->drawText(0, 0, 0, 0, Qt::TextDontClip, labelData.basePart);
    painter->setFont(labelData.expFont);
    painter->drawText(labelData.baseBounds.width()+1, 0, labelData.expBounds.width(), labelData.expBounds.height(), Qt::TextDontClip,  labelData.expPart);
  } else
  {
    painter->setFont(labelData.baseFont);
    painter->drawText(0, 0, labelData.totalBounds.width(), labelData.totalBounds.height(), Qt::TextDontClip | Qt::AlignHCenter, labelData.basePart);
  }
  
  // reset painter settings to what it was before:
  painter->setTransform(oldTransform);
  painter->setFont(oldFont);
}
 
QCPAxisPainterPrivate::TickLabelData QCPAxisPainterPrivate::getTickLabelData(const QFont &font, const QString &text) const
{
  TickLabelData result;
  
  // determine whether beautiful decimal powers should be used
  bool useBeautifulPowers = false;
  int ePos = -1;
  if (substituteExponent)
  {
    ePos = text.indexOf('e');
    if (ePos > -1)
      useBeautifulPowers = true;
  }
  
  // calculate text bounding rects and do string preparation for beautiful decimal powers:
  result.baseFont = font;
  if (result.baseFont.pointSizeF() > 0) // On some rare systems, this sometimes is initialized with -1 (Qt bug?), so we check here before possibly setting a negative value in the next line
    result.baseFont.setPointSizeF(result.baseFont.pointSizeF()+0.05); // QFontMetrics.boundingRect has a bug for exact point sizes that make the results oscillate due to internal rounding
  if (useBeautifulPowers)
  {
    // split text into parts of number/symbol that will be drawn normally and part that will be drawn as exponent:
    result.basePart = text.left(ePos);
    // in log scaling, we want to turn "1*10^n" into "10^n", else add multiplication sign and decimal base:
    if (abbreviateDecimalPowers && result.basePart == "1")
      result.basePart = "10";
    else
      result.basePart += (numberMultiplyCross ? QString(QChar(215)) : QString(QChar(183))) + "10";
    result.expPart = text.mid(ePos+1);
    // clip "+" and leading zeros off expPart:
    while (result.expPart.length() > 2 && result.expPart.at(1) == '0') // length > 2 so we leave one zero when numberFormatChar is 'e'
      result.expPart.remove(1, 1);
    if (!result.expPart.isEmpty() && result.expPart.at(0) == '+')
      result.expPart.remove(0, 1);
    // prepare smaller font for exponent:
    result.expFont = font;
    result.expFont.setPointSize(result.expFont.pointSize()*0.75);
    // calculate bounding rects of base part, exponent part and total one:
    result.baseBounds = QFontMetrics(result.baseFont).boundingRect(0, 0, 0, 0, Qt::TextDontClip, result.basePart);
    result.expBounds = QFontMetrics(result.expFont).boundingRect(0, 0, 0, 0, Qt::TextDontClip, result.expPart);
    result.totalBounds = result.baseBounds.adjusted(0, 0, result.expBounds.width()+2, 0); // +2 consists of the 1 pixel spacing between base and exponent (see drawTickLabel) and an extra pixel to include AA
  } else // useBeautifulPowers == false
  {
    result.basePart = text;
    result.totalBounds = QFontMetrics(result.baseFont).boundingRect(0, 0, 0, 0, Qt::TextDontClip | Qt::AlignHCenter, result.basePart);
  }
  result.totalBounds.moveTopLeft(QPoint(0, 0)); // want bounding box aligned top left at origin, independent of how it was created, to make further processing simpler
  
  // calculate possibly different bounding rect after rotation:
  result.rotatedTotalBounds = result.totalBounds;
  if (!qFuzzyIsNull(tickLabelRotation))
  {
    QTransform transform;
    transform.rotate(tickLabelRotation);
    result.rotatedTotalBounds = transform.mapRect(result.rotatedTotalBounds);
  }
  
  return result;
}
 
QPointF QCPAxisPainterPrivate::getTickLabelDrawOffset(const TickLabelData &labelData) const
{
  /*
    calculate label offset from base point at tick (non-trivial, for best visual appearance): short
    explanation for bottom axis: The anchor, i.e. the point in the label that is placed
    horizontally under the corresponding tick is always on the label side that is closer to the
    axis (e.g. the left side of the text when we're rotating clockwise). On that side, the height
    is halved and the resulting point is defined the anchor. This way, a 90 degree rotated text
    will be centered under the tick (i.e. displaced horizontally by half its height). At the same
    time, a 45 degree rotated text will "point toward" its tick, as is typical for rotated tick
    labels.
  */
  bool doRotation = !qFuzzyIsNull(tickLabelRotation);
  bool flip = qFuzzyCompare(qAbs(tickLabelRotation), 90.0); // perfect +/-90 degree flip. Indicates vertical label centering on vertical axes.
  double radians = tickLabelRotation/180.0*M_PI;
  int x=0, y=0;
  if (type == QCPAxis::atLeft)
  {
    if (doRotation)
    {
      if (tickLabelRotation > 0)
      {
        x = -qCos(radians)*labelData.totalBounds.width();
        y = flip ? -labelData.totalBounds.width()/2.0 : -qSin(radians)*labelData.totalBounds.width()-qCos(radians)*labelData.totalBounds.height()/2.0;
      } else
      {
        x = -qCos(-radians)*labelData.totalBounds.width()-qSin(-radians)*labelData.totalBounds.height();
        y = flip ? +labelData.totalBounds.width()/2.0 : +qSin(-radians)*labelData.totalBounds.width()-qCos(-radians)*labelData.totalBounds.height()/2.0;
      }
    } else
    {
      x = -labelData.totalBounds.width();
      y = -labelData.totalBounds.height()/2.0;
    }
  } else if (type == QCPAxis::atRight)
  {
    if (doRotation)
    {
      if (tickLabelRotation > 0)
      {
        x = +qSin(radians)*labelData.totalBounds.height();
        y = flip ? -labelData.totalBounds.width()/2.0 : -qCos(radians)*labelData.totalBounds.height()/2.0;
      } else
      {
        x = 0;
        y = flip ? +labelData.totalBounds.width()/2.0 : -qCos(-radians)*labelData.totalBounds.height()/2.0;
      }
    } else
    {
      x = 0;
      y = -labelData.totalBounds.height()/2.0;
    }
  } else if (type == QCPAxis::atTop)
  {
    if (doRotation)
    {
      if (tickLabelRotation > 0)
      {
        x = -qCos(radians)*labelData.totalBounds.width()+qSin(radians)*labelData.totalBounds.height()/2.0;
        y = -qSin(radians)*labelData.totalBounds.width()-qCos(radians)*labelData.totalBounds.height();
      } else
      {
        x = -qSin(-radians)*labelData.totalBounds.height()/2.0;
        y = -qCos(-radians)*labelData.totalBounds.height();
      }
    } else
    {
      x = -labelData.totalBounds.width()/2.0;
      y = -labelData.totalBounds.height();
    }
  } else if (type == QCPAxis::atBottom)
  {
    if (doRotation)
    {
      if (tickLabelRotation > 0)
      {
        x = +qSin(radians)*labelData.totalBounds.height()/2.0;
        y = 0;
      } else
      {
        x = -qCos(-radians)*labelData.totalBounds.width()-qSin(-radians)*labelData.totalBounds.height()/2.0;
        y = +qSin(-radians)*labelData.totalBounds.width();
      }
    } else
    {
      x = -labelData.totalBounds.width()/2.0;
      y = 0;
    }
  }
  
  return QPointF(x, y);
}
 
void QCPAxisPainterPrivate::getMaxTickLabelSize(const QFont &font, const QString &text,  QSize *tickLabelsSize) const
{
  // note: this function must return the same tick label sizes as the placeTickLabel function.
  QSize finalSize;
  if (mParentPlot->plottingHints().testFlag(QCP::phCacheLabels) && mLabelCache.contains(text)) // label caching enabled and have cached label
  {
    const CachedLabel *cachedLabel = mLabelCache.object(text);
    finalSize = cachedLabel->pixmap.size();
  } else // label caching disabled or no label with this text cached:
  {
    TickLabelData labelData = getTickLabelData(font, text);
    finalSize = labelData.rotatedTotalBounds.size();
  }
  
  // expand passed tickLabelsSize if current tick label is larger:
  if (finalSize.width() > tickLabelsSize->width())
    tickLabelsSize->setWidth(finalSize.width());
  if (finalSize.height() > tickLabelsSize->height())
    tickLabelsSize->setHeight(finalSize.height());
}
 
 
 
/* start of documentation of pure virtual functions */
 
/* end of documentation of pure virtual functions */
/* start of documentation of signals */
 
/* end of documentation of signals */
 
QCPAbstractPlottable::QCPAbstractPlottable(QCPAxis *keyAxis, QCPAxis *valueAxis) :
  QCPLayerable(keyAxis->parentPlot(), "", keyAxis->axisRect()),
  mName(""),
  mAntialiasedFill(true),
  mAntialiasedScatters(true),
  mAntialiasedErrorBars(false),
  mPen(Qt::black),
  mSelectedPen(Qt::black),
  mBrush(Qt::NoBrush),
  mSelectedBrush(Qt::NoBrush),
  mKeyAxis(keyAxis),
  mValueAxis(valueAxis),
  mSelectable(true),
  mSelected(false)
{
  if (keyAxis->parentPlot() != valueAxis->parentPlot())
    qDebug() << Q_FUNC_INFO << "Parent plot of keyAxis is not the same as that of valueAxis.";
  if (keyAxis->orientation() == valueAxis->orientation())
    qDebug() << Q_FUNC_INFO << "keyAxis and valueAxis must be orthogonal to each other.";
}
 
void QCPAbstractPlottable::setName(const QString &name)
{
  mName = name;
}
 
void QCPAbstractPlottable::setAntialiasedFill(bool enabled)
{
  mAntialiasedFill = enabled;
}
 
void QCPAbstractPlottable::setAntialiasedScatters(bool enabled)
{
  mAntialiasedScatters = enabled;
}
 
void QCPAbstractPlottable::setAntialiasedErrorBars(bool enabled)
{
  mAntialiasedErrorBars = enabled;
}
 
 
void QCPAbstractPlottable::setPen(const QPen &pen)
{
  mPen = pen;
}
 
void QCPAbstractPlottable::setSelectedPen(const QPen &pen)
{
  mSelectedPen = pen;
}
 
void QCPAbstractPlottable::setBrush(const QBrush &brush)
{
  mBrush = brush;
}
 
void QCPAbstractPlottable::setSelectedBrush(const QBrush &brush)
{
  mSelectedBrush = brush;
}
 
void QCPAbstractPlottable::setKeyAxis(QCPAxis *axis)
{
  mKeyAxis = axis;
}
 
void QCPAbstractPlottable::setValueAxis(QCPAxis *axis)
{
  mValueAxis = axis;
}
 
void QCPAbstractPlottable::setSelectable(bool selectable)
{
  if (mSelectable != selectable)
  {
    mSelectable = selectable;
    emit selectableChanged(mSelectable);
  }
}
 
void QCPAbstractPlottable::setSelected(bool selected)
{
  if (mSelected != selected)
  {
    mSelected = selected;
    emit selectionChanged(mSelected);
  }
}
 
void QCPAbstractPlottable::rescaleAxes(bool onlyEnlarge) const
{
  rescaleKeyAxis(onlyEnlarge);
  rescaleValueAxis(onlyEnlarge);
}
 
void QCPAbstractPlottable::rescaleKeyAxis(bool onlyEnlarge) const
{
  QCPAxis *keyAxis = mKeyAxis.data();
  if (!keyAxis) { qDebug() << Q_FUNC_INFO << "invalid key axis"; return; }
  
  SignDomain signDomain = sdBoth;
  if (keyAxis->scaleType() == QCPAxis::stLogarithmic)
    signDomain = (keyAxis->range().upper < 0 ? sdNegative : sdPositive);
  
  bool foundRange;
  QCPRange newRange = getKeyRange(foundRange, signDomain);
  if (foundRange)
  {
    if (onlyEnlarge)
      newRange.expand(keyAxis->range());
    if (!QCPRange::validRange(newRange)) // likely due to range being zero (plottable has only constant data in this axis dimension), shift current range to at least center the plottable
    {
      double center = (newRange.lower+newRange.upper)*0.5; // upper and lower should be equal anyway, but just to make sure, incase validRange returned false for other reason
      if (keyAxis->scaleType() == QCPAxis::stLinear)
      {
        newRange.lower = center-keyAxis->range().size()/2.0;
        newRange.upper = center+keyAxis->range().size()/2.0;
      } else // scaleType() == stLogarithmic
      {
        newRange.lower = center/qSqrt(keyAxis->range().upper/keyAxis->range().lower);
        newRange.upper = center*qSqrt(keyAxis->range().upper/keyAxis->range().lower);
      }
    }
    keyAxis->setRange(newRange);
  }
}
 
void QCPAbstractPlottable::rescaleValueAxis(bool onlyEnlarge) const
{
  QCPAxis *valueAxis = mValueAxis.data();
  if (!valueAxis) { qDebug() << Q_FUNC_INFO << "invalid value axis"; return; }
  
  SignDomain signDomain = sdBoth;
  if (valueAxis->scaleType() == QCPAxis::stLogarithmic)
    signDomain = (valueAxis->range().upper < 0 ? sdNegative : sdPositive);
  
  bool foundRange;
  QCPRange newRange = getValueRange(foundRange, signDomain);
  if (foundRange)
  {
    if (onlyEnlarge)
      newRange.expand(valueAxis->range());
    if (!QCPRange::validRange(newRange)) // likely due to range being zero (plottable has only constant data in this axis dimension), shift current range to at least center the plottable
    {
      double center = (newRange.lower+newRange.upper)*0.5; // upper and lower should be equal anyway, but just to make sure, incase validRange returned false for other reason
      if (valueAxis->scaleType() == QCPAxis::stLinear)
      {
        newRange.lower = center-valueAxis->range().size()/2.0;
        newRange.upper = center+valueAxis->range().size()/2.0;
      } else // scaleType() == stLogarithmic
      {
        newRange.lower = center/qSqrt(valueAxis->range().upper/valueAxis->range().lower);
        newRange.upper = center*qSqrt(valueAxis->range().upper/valueAxis->range().lower);
      }
    }
    valueAxis->setRange(newRange);
  }
}
 
bool QCPAbstractPlottable::addToLegend()
{
  if (!mParentPlot || !mParentPlot->legend)
    return false;
  
  if (!mParentPlot->legend->hasItemWithPlottable(this))
  {
    mParentPlot->legend->addItem(new QCPPlottableLegendItem(mParentPlot->legend, this));
    return true;
  } else
    return false;
}
 
bool QCPAbstractPlottable::removeFromLegend() const
{
  if (!mParentPlot->legend)
    return false;
  
  if (QCPPlottableLegendItem *lip = mParentPlot->legend->itemWithPlottable(this))
    return mParentPlot->legend->removeItem(lip);
  else
    return false;
}
 
/* inherits documentation from base class */
QRect QCPAbstractPlottable::clipRect() const
{
  if (mKeyAxis && mValueAxis)
    return mKeyAxis.data()->axisRect()->rect() & mValueAxis.data()->axisRect()->rect();
  else
    return QRect();
}
 
/* inherits documentation from base class */
QCP::Interaction QCPAbstractPlottable::selectionCategory() const
{
  return QCP::iSelectPlottables;
}
 
void QCPAbstractPlottable::coordsToPixels(double key, double value, double &x, double &y) const
{
  QCPAxis *keyAxis = mKeyAxis.data();
  QCPAxis *valueAxis = mValueAxis.data();
  if (!keyAxis || !valueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return; }
  
  if (keyAxis->orientation() == Qt::Horizontal)
  {
    x = keyAxis->coordToPixel(key);
    y = valueAxis->coordToPixel(value);
  } else
  {
    y = keyAxis->coordToPixel(key);
    x = valueAxis->coordToPixel(value);
  }
}
 
const QPointF QCPAbstractPlottable::coordsToPixels(double key, double value) const
{
  QCPAxis *keyAxis = mKeyAxis.data();
  QCPAxis *valueAxis = mValueAxis.data();
  if (!keyAxis || !valueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return QPointF(); }
  
  if (keyAxis->orientation() == Qt::Horizontal)
    return QPointF(keyAxis->coordToPixel(key), valueAxis->coordToPixel(value));
  else
    return QPointF(valueAxis->coordToPixel(value), keyAxis->coordToPixel(key));
}
 
void QCPAbstractPlottable::pixelsToCoords(double x, double y, double &key, double &value) const
{
  QCPAxis *keyAxis = mKeyAxis.data();
  QCPAxis *valueAxis = mValueAxis.data();
  if (!keyAxis || !valueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return; }
  
  if (keyAxis->orientation() == Qt::Horizontal)
  {
    key = keyAxis->pixelToCoord(x);
    value = valueAxis->pixelToCoord(y);
  } else
  {
    key = keyAxis->pixelToCoord(y);
    value = valueAxis->pixelToCoord(x);
  }
}
 
void QCPAbstractPlottable::pixelsToCoords(const QPointF &pixelPos, double &key, double &value) const
{
  pixelsToCoords(pixelPos.x(), pixelPos.y(), key, value);
}
 
QPen QCPAbstractPlottable::mainPen() const
{
  return mSelected ? mSelectedPen : mPen;
}
 
QBrush QCPAbstractPlottable::mainBrush() const
{
  return mSelected ? mSelectedBrush : mBrush;
}
 
void QCPAbstractPlottable::applyDefaultAntialiasingHint(QCPPainter *painter) const
{
  applyAntialiasingHint(painter, mAntialiased, QCP::aePlottables);
}
 
void QCPAbstractPlottable::applyFillAntialiasingHint(QCPPainter *painter) const
{
  applyAntialiasingHint(painter, mAntialiasedFill, QCP::aeFills);
}
 
void QCPAbstractPlottable::applyScattersAntialiasingHint(QCPPainter *painter) const
{
  applyAntialiasingHint(painter, mAntialiasedScatters, QCP::aeScatters);
}
 
void QCPAbstractPlottable::applyErrorBarsAntialiasingHint(QCPPainter *painter) const
{
  applyAntialiasingHint(painter, mAntialiasedErrorBars, QCP::aeErrorBars);
}
 
double QCPAbstractPlottable::distSqrToLine(const QPointF &start, const QPointF &end, const QPointF &point) const
{
  QVector2D a(start);
  QVector2D b(end);
  QVector2D p(point);
  QVector2D v(b-a);
  
  double vLengthSqr = v.lengthSquared();
  if (!qFuzzyIsNull(vLengthSqr))
  {
    double mu = QVector2D::dotProduct(p-a, v)/vLengthSqr;
    if (mu < 0)
      return (a-p).lengthSquared();
    else if (mu > 1)
      return (b-p).lengthSquared();
    else
      return ((a + mu*v)-p).lengthSquared();
  } else
    return (a-p).lengthSquared();
}
 
/* inherits documentation from base class */
void QCPAbstractPlottable::selectEvent(QMouseEvent *event, bool additive, const QVariant &details, bool *selectionStateChanged)
{
  Q_UNUSED(event)
  Q_UNUSED(details)
  if (mSelectable)
  {
    bool selBefore = mSelected;
    setSelected(additive ? !mSelected : true);
    if (selectionStateChanged)
      *selectionStateChanged = mSelected != selBefore;
  }
}
 
/* inherits documentation from base class */
void QCPAbstractPlottable::deselectEvent(bool *selectionStateChanged)
{
  if (mSelectable)
  {
    bool selBefore = mSelected;
    setSelected(false);
    if (selectionStateChanged)
      *selectionStateChanged = mSelected != selBefore;
  }
}
 
 
 
/* start documentation of inline functions */
 
/* end documentation of inline functions */
 
QCPItemAnchor::QCPItemAnchor(QCustomPlot *parentPlot, QCPAbstractItem *parentItem, const QString name, int anchorId) :
  mName(name),
  mParentPlot(parentPlot),
  mParentItem(parentItem),
  mAnchorId(anchorId)
{
}
 
QCPItemAnchor::~QCPItemAnchor()
{
  // unregister as parent at children:
  QList<QCPItemPosition*> currentChildren(mChildren.toList());
  for (int i=0; i<currentChildren.size(); ++i)
    currentChildren.at(i)->setParentAnchor(0); // this acts back on this anchor and child removes itself from mChildren
}
 
QPointF QCPItemAnchor::pixelPoint() const
{
  if (mParentItem)
  {
    if (mAnchorId > -1)
    {
      return mParentItem->anchorPixelPoint(mAnchorId);
    } else
    {
      qDebug() << Q_FUNC_INFO << "no valid anchor id set:" << mAnchorId;
      return QPointF();
    }
  } else
  {
    qDebug() << Q_FUNC_INFO << "no parent item set";
    return QPointF();
  }
}
 
void QCPItemAnchor::addChild(QCPItemPosition *pos)
{
  if (!mChildren.contains(pos))
    mChildren.insert(pos);
  else
    qDebug() << Q_FUNC_INFO << "provided pos is child already" << reinterpret_cast<quintptr>(pos);
}
 
void QCPItemAnchor::removeChild(QCPItemPosition *pos)
{
  if (!mChildren.remove(pos))
    qDebug() << Q_FUNC_INFO << "provided pos isn't child" << reinterpret_cast<quintptr>(pos);
}
 
 
 
QCPItemPosition::QCPItemPosition(QCustomPlot *parentPlot, QCPAbstractItem *parentItem, const QString name) :
  QCPItemAnchor(parentPlot, parentItem, name),
  mPositionType(ptAbsolute),
  mKey(0),
  mValue(0),
  mParentAnchor(0)
{
}
 
QCPItemPosition::~QCPItemPosition()
{
  // unregister as parent at children:
  // Note: this is done in ~QCPItemAnchor again, but it's important QCPItemPosition does it itself, because only then
  //       the setParentAnchor(0) call the correct QCPItemPosition::pixelPoint function instead of QCPItemAnchor::pixelPoint
  QList<QCPItemPosition*> currentChildren(mChildren.toList());
  for (int i=0; i<currentChildren.size(); ++i)
    currentChildren.at(i)->setParentAnchor(0); // this acts back on this anchor and child removes itself from mChildren
  // unregister as child in parent:
  if (mParentAnchor)
    mParentAnchor->removeChild(this);
}
 
/* can't make this a header inline function, because QPointer breaks with forward declared types, see QTBUG-29588 */
QCPAxisRect *QCPItemPosition::axisRect() const
{
  return mAxisRect.data();
}
 
void QCPItemPosition::setType(QCPItemPosition::PositionType type)
{
  if (mPositionType != type)
  {
    // if switching from or to coordinate type that isn't valid (e.g. because axes or axis rect
    // were deleted), don't try to recover the pixelPoint() because it would output a qDebug warning.
    bool recoverPixelPosition = true;
    if ((mPositionType == ptPlotCoords || type == ptPlotCoords) && (!mKeyAxis || !mValueAxis))
      recoverPixelPosition = false;
    if ((mPositionType == ptAxisRectRatio || type == ptAxisRectRatio) && (!mAxisRect))
      recoverPixelPosition = false;
      
    QPointF pixelP;
    if (recoverPixelPosition)
      pixelP = pixelPoint();
    
    mPositionType = type;
    
    if (recoverPixelPosition)
      setPixelPoint(pixelP);
  }
}
 
bool QCPItemPosition::setParentAnchor(QCPItemAnchor *parentAnchor, bool keepPixelPosition)
{
  // make sure self is not assigned as parent:
  if (parentAnchor == this)
  {
    qDebug() << Q_FUNC_INFO << "can't set self as parent anchor" << reinterpret_cast<quintptr>(parentAnchor);
    return false;
  }
  // make sure no recursive parent-child-relationships are created:
  QCPItemAnchor *currentParent = parentAnchor;
  while (currentParent)
  {
    if (QCPItemPosition *currentParentPos = currentParent->toQCPItemPosition())
    {
      // is a QCPItemPosition, might have further parent, so keep iterating
      if (currentParentPos == this)
      {
        qDebug() << Q_FUNC_INFO << "can't create recursive parent-child-relationship" << reinterpret_cast<quintptr>(parentAnchor);
        return false;
      }
      currentParent = currentParentPos->mParentAnchor;
    } else
    {
      // is a QCPItemAnchor, can't have further parent. Now make sure the parent items aren't the
      // same, to prevent a position being child of an anchor which itself depends on the position,
      // because they're both on the same item:
      if (currentParent->mParentItem == mParentItem)
      {
        qDebug() << Q_FUNC_INFO << "can't set parent to be an anchor which itself depends on this position" << reinterpret_cast<quintptr>(parentAnchor);
        return false;
      }
      break;
    }
  }
  
  // if previously no parent set and PosType is still ptPlotCoords, set to ptAbsolute:
  if (!mParentAnchor && mPositionType == ptPlotCoords)
    setType(ptAbsolute);
  
  // save pixel position:
  QPointF pixelP;
  if (keepPixelPosition)
    pixelP = pixelPoint();
  // unregister at current parent anchor:
  if (mParentAnchor)
    mParentAnchor->removeChild(this);
  // register at new parent anchor:
  if (parentAnchor)
    parentAnchor->addChild(this);
  mParentAnchor = parentAnchor;
  // restore pixel position under new parent:
  if (keepPixelPosition)
    setPixelPoint(pixelP);
  else
    setCoords(0, 0);
  return true;
}
 
void QCPItemPosition::setCoords(double key, double value)
{
  mKey = key;
  mValue = value;
}
 
void QCPItemPosition::setCoords(const QPointF &pos)
{
  setCoords(pos.x(), pos.y());
}
 
QPointF QCPItemPosition::pixelPoint() const
{
  switch (mPositionType)
  {
    case ptAbsolute:
    {
      if (mParentAnchor)
        return QPointF(mKey, mValue) + mParentAnchor->pixelPoint();
      else
        return QPointF(mKey, mValue);
    }
    
    case ptViewportRatio:
    {
      if (mParentAnchor)
      {
        return QPointF(mKey*mParentPlot->viewport().width(),
                       mValue*mParentPlot->viewport().height()) + mParentAnchor->pixelPoint();
      } else
      {
        return QPointF(mKey*mParentPlot->viewport().width(),
                       mValue*mParentPlot->viewport().height()) + mParentPlot->viewport().topLeft();
      }
    }
      
    case ptAxisRectRatio:
    {
      if (mAxisRect)
      {
        if (mParentAnchor)
        {
          return QPointF(mKey*mAxisRect.data()->width(),
                         mValue*mAxisRect.data()->height()) + mParentAnchor->pixelPoint();
        } else
        {
          return QPointF(mKey*mAxisRect.data()->width(),
                       mValue*mAxisRect.data()->height()) + mAxisRect.data()->topLeft();
        }
      } else
      {
        qDebug() << Q_FUNC_INFO << "No axis rect defined";
        return QPointF(mKey, mValue);
      }
    }
    
    case ptPlotCoords:
    {
      double x, y;
      if (mKeyAxis && mValueAxis)
      {
        // both key and value axis are given, translate key/value to x/y coordinates:
        if (mKeyAxis.data()->orientation() == Qt::Horizontal)
        {
          x = mKeyAxis.data()->coordToPixel(mKey);
          y = mValueAxis.data()->coordToPixel(mValue);
        } else
        {
          y = mKeyAxis.data()->coordToPixel(mKey);
          x = mValueAxis.data()->coordToPixel(mValue);
        }
      } else if (mKeyAxis)
      {
        // only key axis is given, depending on orientation only transform x or y to key coordinate, other stays pixel:
        if (mKeyAxis.data()->orientation() == Qt::Horizontal)
        {
          x = mKeyAxis.data()->coordToPixel(mKey);
          y = mValue;
        } else
        {
          y = mKeyAxis.data()->coordToPixel(mKey);
          x = mValue;
        }
      } else if (mValueAxis)
      {
        // only value axis is given, depending on orientation only transform x or y to value coordinate, other stays pixel:
        if (mValueAxis.data()->orientation() == Qt::Horizontal)
        {
          x = mValueAxis.data()->coordToPixel(mValue);
          y = mKey;
        } else
        {
          y = mValueAxis.data()->coordToPixel(mValue);
          x = mKey;
        }
      } else
      {
        // no axis given, basically the same as if mPositionType were ptAbsolute
        qDebug() << Q_FUNC_INFO << "No axes defined";
        x = mKey;
        y = mValue;
      }
      return QPointF(x, y);
    }
  }
  return QPointF();
}
 
void QCPItemPosition::setAxes(QCPAxis *keyAxis, QCPAxis *valueAxis)
{
  mKeyAxis = keyAxis;
  mValueAxis = valueAxis;
}
 
void QCPItemPosition::setAxisRect(QCPAxisRect *axisRect)
{
  mAxisRect = axisRect;
}
 
void QCPItemPosition::setPixelPoint(const QPointF &pixelPoint)
{
  switch (mPositionType)
  {
    case ptAbsolute:
    {
      if (mParentAnchor)
        setCoords(pixelPoint-mParentAnchor->pixelPoint());
      else
        setCoords(pixelPoint);
      break;
    }
      
    case ptViewportRatio:
    {
      if (mParentAnchor)
      {
        QPointF p(pixelPoint-mParentAnchor->pixelPoint());
        p.rx() /= (double)mParentPlot->viewport().width();
        p.ry() /= (double)mParentPlot->viewport().height();
        setCoords(p);
      } else
      {
        QPointF p(pixelPoint-mParentPlot->viewport().topLeft());
        p.rx() /= (double)mParentPlot->viewport().width();
        p.ry() /= (double)mParentPlot->viewport().height();
        setCoords(p);
      }
      break;
    }
      
    case ptAxisRectRatio:
    {
      if (mAxisRect)
      {
        if (mParentAnchor)
        {
          QPointF p(pixelPoint-mParentAnchor->pixelPoint());
          p.rx() /= (double)mAxisRect.data()->width();
          p.ry() /= (double)mAxisRect.data()->height();
          setCoords(p);
        } else
        {
          QPointF p(pixelPoint-mAxisRect.data()->topLeft());
          p.rx() /= (double)mAxisRect.data()->width();
          p.ry() /= (double)mAxisRect.data()->height();
          setCoords(p);
        }
      } else
      {
        qDebug() << Q_FUNC_INFO << "No axis rect defined";
        setCoords(pixelPoint);
      }
      break;
    }
      
    case ptPlotCoords:
    {
      double newKey, newValue;
      if (mKeyAxis && mValueAxis)
      {
        // both key and value axis are given, translate point to key/value coordinates:
        if (mKeyAxis.data()->orientation() == Qt::Horizontal)
        {
          newKey = mKeyAxis.data()->pixelToCoord(pixelPoint.x());
          newValue = mValueAxis.data()->pixelToCoord(pixelPoint.y());
        } else
        {
          newKey = mKeyAxis.data()->pixelToCoord(pixelPoint.y());
          newValue = mValueAxis.data()->pixelToCoord(pixelPoint.x());
        }
      } else if (mKeyAxis)
      {
        // only key axis is given, depending on orientation only transform x or y to key coordinate, other stays pixel:
        if (mKeyAxis.data()->orientation() == Qt::Horizontal)
        {
          newKey = mKeyAxis.data()->pixelToCoord(pixelPoint.x());
          newValue = pixelPoint.y();
        } else
        {
          newKey = mKeyAxis.data()->pixelToCoord(pixelPoint.y());
          newValue = pixelPoint.x();
        }
      } else if (mValueAxis)
      {
        // only value axis is given, depending on orientation only transform x or y to value coordinate, other stays pixel:
        if (mValueAxis.data()->orientation() == Qt::Horizontal)
        {
          newKey = pixelPoint.y();
          newValue = mValueAxis.data()->pixelToCoord(pixelPoint.x());
        } else
        {
          newKey = pixelPoint.x();
          newValue = mValueAxis.data()->pixelToCoord(pixelPoint.y());
        }
      } else
      {
        // no axis given, basically the same as if mPositionType were ptAbsolute
        qDebug() << Q_FUNC_INFO << "No axes defined";
        newKey = pixelPoint.x();
        newValue = pixelPoint.y();
      }
      setCoords(newKey, newValue);
      break;
    }
  }
}
 
 
 
/* start of documentation of inline functions */
 
/* end of documentation of inline functions */
/* start documentation of pure virtual functions */
 
/* end documentation of pure virtual functions */
/* start documentation of signals */
 
/* end documentation of signals */
 
QCPAbstractItem::QCPAbstractItem(QCustomPlot *parentPlot) :
  QCPLayerable(parentPlot),
  mClipToAxisRect(false),
  mSelectable(true),
  mSelected(false)
{
  QList<QCPAxisRect*> rects = parentPlot->axisRects();
  if (rects.size() > 0)
  {
    setClipToAxisRect(true);
    setClipAxisRect(rects.first());
  }
}
 
QCPAbstractItem::~QCPAbstractItem()
{
  // don't delete mPositions because every position is also an anchor and thus in mAnchors
  qDeleteAll(mAnchors);
}
 
/* can't make this a header inline function, because QPointer breaks with forward declared types, see QTBUG-29588 */
QCPAxisRect *QCPAbstractItem::clipAxisRect() const
{
  return mClipAxisRect.data();
}
 
void QCPAbstractItem::setClipToAxisRect(bool clip)
{
  mClipToAxisRect = clip;
  if (mClipToAxisRect)
    setParentLayerable(mClipAxisRect.data());
}
 
void QCPAbstractItem::setClipAxisRect(QCPAxisRect *rect)
{
  mClipAxisRect = rect;
  if (mClipToAxisRect)
    setParentLayerable(mClipAxisRect.data());
}
 
void QCPAbstractItem::setSelectable(bool selectable)
{
  if (mSelectable != selectable)
  {
    mSelectable = selectable;
    emit selectableChanged(mSelectable);
  }
}
 
void QCPAbstractItem::setSelected(bool selected)
{
  if (mSelected != selected)
  {
    mSelected = selected;
    emit selectionChanged(mSelected);
  }
}
 
QCPItemPosition *QCPAbstractItem::position(const QString &name) const
{
  for (int i=0; i<mPositions.size(); ++i)
  {
    if (mPositions.at(i)->name() == name)
      return mPositions.at(i);
  }
  qDebug() << Q_FUNC_INFO << "position with name not found:" << name;
  return 0;
}
 
QCPItemAnchor *QCPAbstractItem::anchor(const QString &name) const
{
  for (int i=0; i<mAnchors.size(); ++i)
  {
    if (mAnchors.at(i)->name() == name)
      return mAnchors.at(i);
  }
  qDebug() << Q_FUNC_INFO << "anchor with name not found:" << name;
  return 0;
}
 
bool QCPAbstractItem::hasAnchor(const QString &name) const
{
  for (int i=0; i<mAnchors.size(); ++i)
  {
    if (mAnchors.at(i)->name() == name)
      return true;
  }
  return false;
}
 
QRect QCPAbstractItem::clipRect() const
{
  if (mClipToAxisRect && mClipAxisRect)
    return mClipAxisRect.data()->rect();
  else
    return mParentPlot->viewport();
}
 
void QCPAbstractItem::applyDefaultAntialiasingHint(QCPPainter *painter) const
{
  applyAntialiasingHint(painter, mAntialiased, QCP::aeItems);
}
 
double QCPAbstractItem::distSqrToLine(const QPointF &start, const QPointF &end, const QPointF &point) const
{
  QVector2D a(start);
  QVector2D b(end);
  QVector2D p(point);
  QVector2D v(b-a);
  
  double vLengthSqr = v.lengthSquared();
  if (!qFuzzyIsNull(vLengthSqr))
  {
    double mu = QVector2D::dotProduct(p-a, v)/vLengthSqr;
    if (mu < 0)
      return (a-p).lengthSquared();
    else if (mu > 1)
      return (b-p).lengthSquared();
    else
      return ((a + mu*v)-p).lengthSquared();
  } else
    return (a-p).lengthSquared();
}
 
double QCPAbstractItem::rectSelectTest(const QRectF &rect, const QPointF &pos, bool filledRect) const
{
  double result = -1;
 
  // distance to border:
  QList<QLineF> lines;
  lines << QLineF(rect.topLeft(), rect.topRight()) << QLineF(rect.bottomLeft(), rect.bottomRight())
        << QLineF(rect.topLeft(), rect.bottomLeft()) << QLineF(rect.topRight(), rect.bottomRight());
  double minDistSqr = std::numeric_limits<double>::max();
  for (int i=0; i<lines.size(); ++i)
  {
    double distSqr = distSqrToLine(lines.at(i).p1(), lines.at(i).p2(), pos);
    if (distSqr < minDistSqr)
      minDistSqr = distSqr;
  }
  result = qSqrt(minDistSqr);
  
  // filled rect, allow click inside to count as hit:
  if (filledRect && result > mParentPlot->selectionTolerance()*0.99)
  {
    if (rect.contains(pos))
      result = mParentPlot->selectionTolerance()*0.99;
  }
  return result;
}
 
QPointF QCPAbstractItem::anchorPixelPoint(int anchorId) const
{
  qDebug() << Q_FUNC_INFO << "called on item which shouldn't have any anchors (this method not reimplemented). anchorId" << anchorId;
  return QPointF();
}
 
QCPItemPosition *QCPAbstractItem::createPosition(const QString &name)
{
  if (hasAnchor(name))
    qDebug() << Q_FUNC_INFO << "anchor/position with name exists already:" << name;
  QCPItemPosition *newPosition = new QCPItemPosition(mParentPlot, this, name);
  mPositions.append(newPosition);
  mAnchors.append(newPosition); // every position is also an anchor
  newPosition->setAxes(mParentPlot->xAxis, mParentPlot->yAxis);
  newPosition->setType(QCPItemPosition::ptPlotCoords);
  if (mParentPlot->axisRect())
    newPosition->setAxisRect(mParentPlot->axisRect());
  newPosition->setCoords(0, 0);
  return newPosition;
}
 
QCPItemAnchor *QCPAbstractItem::createAnchor(const QString &name, int anchorId)
{
  if (hasAnchor(name))
    qDebug() << Q_FUNC_INFO << "anchor/position with name exists already:" << name;
  QCPItemAnchor *newAnchor = new QCPItemAnchor(mParentPlot, this, name, anchorId);
  mAnchors.append(newAnchor);
  return newAnchor;
}
 
/* inherits documentation from base class */
void QCPAbstractItem::selectEvent(QMouseEvent *event, bool additive, const QVariant &details, bool *selectionStateChanged)
{
  Q_UNUSED(event)
  Q_UNUSED(details)
  if (mSelectable)
  {
    bool selBefore = mSelected;
    setSelected(additive ? !mSelected : true);
    if (selectionStateChanged)
      *selectionStateChanged = mSelected != selBefore;
  }
}
 
/* inherits documentation from base class */
void QCPAbstractItem::deselectEvent(bool *selectionStateChanged)
{
  if (mSelectable)
  {
    bool selBefore = mSelected;
    setSelected(false);
    if (selectionStateChanged)
      *selectionStateChanged = mSelected != selBefore;
  }
}
 
/* inherits documentation from base class */
QCP::Interaction QCPAbstractItem::selectionCategory() const
{
  return QCP::iSelectItems;
}
 
 
 
/* start of documentation of inline functions */
 
/* end of documentation of inline functions */
/* start of documentation of signals */
 
/* end of documentation of signals */
/* start of documentation of public members */
 
/* end of documentation of public members */
 
QCustomPlot::QCustomPlot(QWidget *parent) :
  QWidget(parent),
  xAxis(0),
  yAxis(0),
  xAxis2(0),
  yAxis2(0),
  legend(0),
  mPlotLayout(0),
  mAutoAddPlottableToLegend(true),
  mAntialiasedElements(QCP::aeNone),
  mNotAntialiasedElements(QCP::aeNone),
  mInteractions(0),
  mSelectionTolerance(8),
  mNoAntialiasingOnDrag(false),
  mBackgroundBrush(Qt::white, Qt::SolidPattern),
  mBackgroundScaled(true),
  mBackgroundScaledMode(Qt::KeepAspectRatioByExpanding),
  mCurrentLayer(0),
  mPlottingHints(QCP::phCacheLabels|QCP::phForceRepaint),
  mMultiSelectModifier(Qt::ControlModifier),
  mPaintBuffer(size()),
  mMouseEventElement(0),
  mReplotting(false)
{
  setAttribute(Qt::WA_NoMousePropagation);
  setAttribute(Qt::WA_OpaquePaintEvent);
  setMouseTracking(true);
  QLocale currentLocale = locale();
  currentLocale.setNumberOptions(QLocale::OmitGroupSeparator);
  setLocale(currentLocale);
  
  // create initial layers:
  mLayers.append(new QCPLayer(this, "background"));
  mLayers.append(new QCPLayer(this, "grid"));
  mLayers.append(new QCPLayer(this, "main"));
  mLayers.append(new QCPLayer(this, "axes"));
  mLayers.append(new QCPLayer(this, "legend"));
  updateLayerIndices();
  setCurrentLayer("main");
  
  // create initial layout, axis rect and legend:
  mPlotLayout = new QCPLayoutGrid;
  mPlotLayout->initializeParentPlot(this);
  mPlotLayout->setParent(this); // important because if parent is QWidget, QCPLayout::sizeConstraintsChanged will call QWidget::updateGeometry
  mPlotLayout->setLayer("main");
  QCPAxisRect *defaultAxisRect = new QCPAxisRect(this, true);
  mPlotLayout->addElement(0, 0, defaultAxisRect);
  xAxis = defaultAxisRect->axis(QCPAxis::atBottom);
  yAxis = defaultAxisRect->axis(QCPAxis::atLeft);
  xAxis2 = defaultAxisRect->axis(QCPAxis::atTop);
  yAxis2 = defaultAxisRect->axis(QCPAxis::atRight);
  legend = new QCPLegend;
  legend->setVisible(false);
  defaultAxisRect->insetLayout()->addElement(legend, Qt::AlignRight|Qt::AlignTop);
  defaultAxisRect->insetLayout()->setMargins(QMargins(12, 12, 12, 12));
  
  defaultAxisRect->setLayer("background");
  xAxis->setLayer("axes");
  yAxis->setLayer("axes");
  xAxis2->setLayer("axes");
  yAxis2->setLayer("axes");
  xAxis->grid()->setLayer("grid");
  yAxis->grid()->setLayer("grid");
  xAxis2->grid()->setLayer("grid");
  yAxis2->grid()->setLayer("grid");
  legend->setLayer("legend");
  
  setViewport(rect()); // needs to be called after mPlotLayout has been created
  
  replot();
}
 
QCustomPlot::~QCustomPlot()
{
  clearPlottables();
  clearItems();
 
  if (mPlotLayout)
  {
    delete mPlotLayout;
    mPlotLayout = 0;
  }
  
  mCurrentLayer = 0;
  qDeleteAll(mLayers); // don't use removeLayer, because it would prevent the last layer to be removed
  mLayers.clear();
}
 
void QCustomPlot::setAntialiasedElements(const QCP::AntialiasedElements &antialiasedElements)
{
  mAntialiasedElements = antialiasedElements;
  
  // make sure elements aren't in mNotAntialiasedElements and mAntialiasedElements simultaneously:
  if ((mNotAntialiasedElements & mAntialiasedElements) != 0)
    mNotAntialiasedElements |= ~mAntialiasedElements;
}
 
void QCustomPlot::setAntialiasedElement(QCP::AntialiasedElement antialiasedElement, bool enabled)
{
  if (!enabled && mAntialiasedElements.testFlag(antialiasedElement))
    mAntialiasedElements &= ~antialiasedElement;
  else if (enabled && !mAntialiasedElements.testFlag(antialiasedElement))
    mAntialiasedElements |= antialiasedElement;
  
  // make sure elements aren't in mNotAntialiasedElements and mAntialiasedElements simultaneously:
  if ((mNotAntialiasedElements & mAntialiasedElements) != 0)
    mNotAntialiasedElements |= ~mAntialiasedElements;
}
 
void QCustomPlot::setNotAntialiasedElements(const QCP::AntialiasedElements &notAntialiasedElements)
{
  mNotAntialiasedElements = notAntialiasedElements;
  
  // make sure elements aren't in mNotAntialiasedElements and mAntialiasedElements simultaneously:
  if ((mNotAntialiasedElements & mAntialiasedElements) != 0)
    mAntialiasedElements |= ~mNotAntialiasedElements;
}
 
void QCustomPlot::setNotAntialiasedElement(QCP::AntialiasedElement notAntialiasedElement, bool enabled)
{
  if (!enabled && mNotAntialiasedElements.testFlag(notAntialiasedElement))
    mNotAntialiasedElements &= ~notAntialiasedElement;
  else if (enabled && !mNotAntialiasedElements.testFlag(notAntialiasedElement))
    mNotAntialiasedElements |= notAntialiasedElement;
  
  // make sure elements aren't in mNotAntialiasedElements and mAntialiasedElements simultaneously:
  if ((mNotAntialiasedElements & mAntialiasedElements) != 0)
    mAntialiasedElements |= ~mNotAntialiasedElements;
}
 
void QCustomPlot::setAutoAddPlottableToLegend(bool on)
{
  mAutoAddPlottableToLegend = on;
}
 
void QCustomPlot::setInteractions(const QCP::Interactions &interactions)
{
  mInteractions = interactions;
}
 
void QCustomPlot::setInteraction(const QCP::Interaction &interaction, bool enabled)
{
  if (!enabled && mInteractions.testFlag(interaction))
    mInteractions &= ~interaction;
  else if (enabled && !mInteractions.testFlag(interaction))
    mInteractions |= interaction;
}
 
void QCustomPlot::setSelectionTolerance(int pixels)
{
  mSelectionTolerance = pixels;
}
 
void QCustomPlot::setNoAntialiasingOnDrag(bool enabled)
{
  mNoAntialiasingOnDrag = enabled;
}
 
void QCustomPlot::setPlottingHints(const QCP::PlottingHints &hints)
{
  mPlottingHints = hints;
}
 
void QCustomPlot::setPlottingHint(QCP::PlottingHint hint, bool enabled)
{
  QCP::PlottingHints newHints = mPlottingHints;
  if (!enabled)
    newHints &= ~hint;
  else
    newHints |= hint;
  
  if (newHints != mPlottingHints)
    setPlottingHints(newHints);
}
 
void QCustomPlot::setMultiSelectModifier(Qt::KeyboardModifier modifier)
{
  mMultiSelectModifier = modifier;
}
 
void QCustomPlot::setViewport(const QRect &rect)
{
  mViewport = rect;
  if (mPlotLayout)
    mPlotLayout->setOuterRect(mViewport);
}
 
void QCustomPlot::setBackground(const QPixmap &pm)
{
  mBackgroundPixmap = pm;
  mScaledBackgroundPixmap = QPixmap();
}
 
void QCustomPlot::setBackground(const QBrush &brush)
{
  mBackgroundBrush = brush;
}
 
void QCustomPlot::setBackground(const QPixmap &pm, bool scaled, Qt::AspectRatioMode mode)
{
  mBackgroundPixmap = pm;
  mScaledBackgroundPixmap = QPixmap();
  mBackgroundScaled = scaled;
  mBackgroundScaledMode = mode;
}
 
void QCustomPlot::setBackgroundScaled(bool scaled)
{
  mBackgroundScaled = scaled;
}
 
void QCustomPlot::setBackgroundScaledMode(Qt::AspectRatioMode mode)
{
  mBackgroundScaledMode = mode;
}
 
QCPAbstractPlottable *QCustomPlot::plottable(int index)
{
  if (index >= 0 && index < mPlottables.size())
  {
    return mPlottables.at(index);
  } else
  {
    qDebug() << Q_FUNC_INFO << "index out of bounds:" << index;
    return 0;
  }
}
 
QCPAbstractPlottable *QCustomPlot::plottable()
{
  if (!mPlottables.isEmpty())
  {
    return mPlottables.last();
  } else
    return 0;
}
 
bool QCustomPlot::addPlottable(QCPAbstractPlottable *plottable)
{
  if (mPlottables.contains(plottable))
  {
    qDebug() << Q_FUNC_INFO << "plottable already added to this QCustomPlot:" << reinterpret_cast<quintptr>(plottable);
    return false;
  }
  if (plottable->parentPlot() != this)
  {
    qDebug() << Q_FUNC_INFO << "plottable not created with this QCustomPlot as parent:" << reinterpret_cast<quintptr>(plottable);
    return false;
  }
  
  mPlottables.append(plottable);
  // possibly add plottable to legend:
  if (mAutoAddPlottableToLegend)
    plottable->addToLegend();
  // special handling for QCPGraphs to maintain the simple graph interface:
  if (QCPGraph *graph = qobject_cast<QCPGraph*>(plottable))
    mGraphs.append(graph);
  if (!plottable->layer()) // usually the layer is already set in the constructor of the plottable (via QCPLayerable constructor)
    plottable->setLayer(currentLayer());
  return true;
}
 
bool QCustomPlot::removePlottable(QCPAbstractPlottable *plottable)
{
  if (!mPlottables.contains(plottable))
  {
    qDebug() << Q_FUNC_INFO << "plottable not in list:" << reinterpret_cast<quintptr>(plottable);
    return false;
  }
  
  // remove plottable from legend:
  plottable->removeFromLegend();
  // special handling for QCPGraphs to maintain the simple graph interface:
  if (QCPGraph *graph = qobject_cast<QCPGraph*>(plottable))
    mGraphs.removeOne(graph);
  // remove plottable:
  delete plottable;
  mPlottables.removeOne(plottable);
  return true;
}
 
bool QCustomPlot::removePlottable(int index)
{
  if (index >= 0 && index < mPlottables.size())
    return removePlottable(mPlottables[index]);
  else
  {
    qDebug() << Q_FUNC_INFO << "index out of bounds:" << index;
    return false;
  }
}
 
int QCustomPlot::clearPlottables()
{
  int c = mPlottables.size();
  for (int i=c-1; i >= 0; --i)
    removePlottable(mPlottables[i]);
  return c;
}
 
int QCustomPlot::plottableCount() const
{
  return mPlottables.size();
}
 
QList<QCPAbstractPlottable*> QCustomPlot::selectedPlottables() const
{
  QList<QCPAbstractPlottable*> result;
  foreach (QCPAbstractPlottable *plottable, mPlottables)
  {
    if (plottable->selected())
      result.append(plottable);
  }
  return result;
}
 
QCPAbstractPlottable *QCustomPlot::plottableAt(const QPointF &pos, bool onlySelectable) const
{
  QCPAbstractPlottable *resultPlottable = 0;
  double resultDistance = mSelectionTolerance; // only regard clicks with distances smaller than mSelectionTolerance as selections, so initialize with that value
  
  foreach (QCPAbstractPlottable *plottable, mPlottables)
  {
    if (onlySelectable && !plottable->selectable()) // we could have also passed onlySelectable to the selectTest function, but checking here is faster, because we have access to QCPabstractPlottable::selectable
      continue;
    if ((plottable->keyAxis()->axisRect()->rect() & plottable->valueAxis()->axisRect()->rect()).contains(pos.toPoint())) // only consider clicks inside the rect that is spanned by the plottable's key/value axes
    {
      double currentDistance = plottable->selectTest(pos, false);
      if (currentDistance >= 0 && currentDistance < resultDistance)
      {
        resultPlottable = plottable;
        resultDistance = currentDistance;
      }
    }
  }
  
  return resultPlottable;
}
 
bool QCustomPlot::hasPlottable(QCPAbstractPlottable *plottable) const
{
  return mPlottables.contains(plottable);
}
 
QCPGraph *QCustomPlot::graph(int index) const
{
  if (index >= 0 && index < mGraphs.size())
  {
    return mGraphs.at(index);
  } else
  {
    qDebug() << Q_FUNC_INFO << "index out of bounds:" << index;
    return 0;
  }
}
 
QCPGraph *QCustomPlot::graph() const
{
  if (!mGraphs.isEmpty())
  {
    return mGraphs.last();
  } else
    return 0;
}
 
QCPGraph *QCustomPlot::addGraph(QCPAxis *keyAxis, QCPAxis *valueAxis)
{
  if (!keyAxis) keyAxis = xAxis;
  if (!valueAxis) valueAxis = yAxis;
  if (!keyAxis || !valueAxis)
  {
    qDebug() << Q_FUNC_INFO << "can't use default QCustomPlot xAxis or yAxis, because at least one is invalid (has been deleted)";
    return 0;
  }
  if (keyAxis->parentPlot() != this || valueAxis->parentPlot() != this)
  {
    qDebug() << Q_FUNC_INFO << "passed keyAxis or valueAxis doesn't have this QCustomPlot as parent";
    return 0;
  }
  
  QCPGraph *newGraph = new QCPGraph(keyAxis, valueAxis);
  if (addPlottable(newGraph))
  {
    newGraph->setName("Graph "+QString::number(mGraphs.size()));
    return newGraph;
  } else
  {
    delete newGraph;
    return 0;
  }
}
 
bool QCustomPlot::removeGraph(QCPGraph *graph)
{
  return removePlottable(graph);
}
 
bool QCustomPlot::removeGraph(int index)
{
  if (index >= 0 && index < mGraphs.size())
    return removeGraph(mGraphs[index]);
  else
    return false;
}
 
int QCustomPlot::clearGraphs()
{
  int c = mGraphs.size();
  for (int i=c-1; i >= 0; --i)
    removeGraph(mGraphs[i]);
  return c;
}
 
int QCustomPlot::graphCount() const
{
  return mGraphs.size();
}
 
QList<QCPGraph*> QCustomPlot::selectedGraphs() const
{
  QList<QCPGraph*> result;
  foreach (QCPGraph *graph, mGraphs)
  {
    if (graph->selected())
      result.append(graph);
  }
  return result;
}
 
QCPAbstractItem *QCustomPlot::item(int index) const
{
  if (index >= 0 && index < mItems.size())
  {
    return mItems.at(index);
  } else
  {
    qDebug() << Q_FUNC_INFO << "index out of bounds:" << index;
    return 0;
  }
}
 
QCPAbstractItem *QCustomPlot::item() const
{
  if (!mItems.isEmpty())
  {
    return mItems.last();
  } else
    return 0;
}
 
bool QCustomPlot::addItem(QCPAbstractItem *item)
{
  if (!mItems.contains(item) && item->parentPlot() == this)
  {
    mItems.append(item);
    return true;
  } else
  {
    qDebug() << Q_FUNC_INFO << "item either already in list or not created with this QCustomPlot as parent:" << reinterpret_cast<quintptr>(item);
    return false;
  }
}
 
bool QCustomPlot::removeItem(QCPAbstractItem *item)
{
  if (mItems.contains(item))
  {
    delete item;
    mItems.removeOne(item);
    return true;
  } else
  {
    qDebug() << Q_FUNC_INFO << "item not in list:" << reinterpret_cast<quintptr>(item);
    return false;
  }
}
 
bool QCustomPlot::removeItem(int index)
{
  if (index >= 0 && index < mItems.size())
    return removeItem(mItems[index]);
  else
  {
    qDebug() << Q_FUNC_INFO << "index out of bounds:" << index;
    return false;
  }
}
 
int QCustomPlot::clearItems()
{
  int c = mItems.size();
  for (int i=c-1; i >= 0; --i)
    removeItem(mItems[i]);
  return c;
}
 
int QCustomPlot::itemCount() const
{
  return mItems.size();
}
 
QList<QCPAbstractItem*> QCustomPlot::selectedItems() const
{
  QList<QCPAbstractItem*> result;
  foreach (QCPAbstractItem *item, mItems)
  {
    if (item->selected())
      result.append(item);
  }
  return result;
}
 
QCPAbstractItem *QCustomPlot::itemAt(const QPointF &pos, bool onlySelectable) const
{
  QCPAbstractItem *resultItem = 0;
  double resultDistance = mSelectionTolerance; // only regard clicks with distances smaller than mSelectionTolerance as selections, so initialize with that value
  
  foreach (QCPAbstractItem *item, mItems)
  {
    if (onlySelectable && !item->selectable()) // we could have also passed onlySelectable to the selectTest function, but checking here is faster, because we have access to QCPAbstractItem::selectable
      continue;
    if (!item->clipToAxisRect() || item->clipRect().contains(pos.toPoint())) // only consider clicks inside axis cliprect of the item if actually clipped to it
    {
      double currentDistance = item->selectTest(pos, false);
      if (currentDistance >= 0 && currentDistance < resultDistance)
      {
        resultItem = item;
        resultDistance = currentDistance;
      }
    }
  }
  
  return resultItem;
}
 
bool QCustomPlot::hasItem(QCPAbstractItem *item) const
{
  return mItems.contains(item);
}
 
QCPLayer *QCustomPlot::layer(const QString &name) const
{
  foreach (QCPLayer *layer, mLayers)
  {
    if (layer->name() == name)
      return layer;
  }
  return 0;
}
 
QCPLayer *QCustomPlot::layer(int index) const
{
  if (index >= 0 && index < mLayers.size())
  {
    return mLayers.at(index);
  } else
  {
    qDebug() << Q_FUNC_INFO << "index out of bounds:" << index;
    return 0;
  }
}
 
QCPLayer *QCustomPlot::currentLayer() const
{
  return mCurrentLayer;
}
 
bool QCustomPlot::setCurrentLayer(const QString &name)
{
  if (QCPLayer *newCurrentLayer = layer(name))
  {
    return setCurrentLayer(newCurrentLayer);
  } else
  {
    qDebug() << Q_FUNC_INFO << "layer with name doesn't exist:" << name;
    return false;
  }
}
 
bool QCustomPlot::setCurrentLayer(QCPLayer *layer)
{
  if (!mLayers.contains(layer))
  {
    qDebug() << Q_FUNC_INFO << "layer not a layer of this QCustomPlot:" << reinterpret_cast<quintptr>(layer);
    return false;
  }
  
  mCurrentLayer = layer;
  return true;
}
 
int QCustomPlot::layerCount() const
{
  return mLayers.size();
}
 
bool QCustomPlot::addLayer(const QString &name, QCPLayer *otherLayer, QCustomPlot::LayerInsertMode insertMode)
{
  if (!otherLayer)
    otherLayer = mLayers.last();
  if (!mLayers.contains(otherLayer))
  {
    qDebug() << Q_FUNC_INFO << "otherLayer not a layer of this QCustomPlot:" << reinterpret_cast<quintptr>(otherLayer);
    return false;
  }
  if (layer(name))
  {
    qDebug() << Q_FUNC_INFO << "A layer exists already with the name" << name;
    return false;
  }
    
  QCPLayer *newLayer = new QCPLayer(this, name);
  mLayers.insert(otherLayer->index() + (insertMode==limAbove ? 1:0), newLayer);
  updateLayerIndices();
  return true;
}
 
bool QCustomPlot::removeLayer(QCPLayer *layer)
{
  if (!mLayers.contains(layer))
  {
    qDebug() << Q_FUNC_INFO << "layer not a layer of this QCustomPlot:" << reinterpret_cast<quintptr>(layer);
    return false;
  }
  if (mLayers.size() < 2)
  {
    qDebug() << Q_FUNC_INFO << "can't remove last layer";
    return false;
  }
  
  // append all children of this layer to layer below (if this is lowest layer, prepend to layer above)
  int removedIndex = layer->index();
  bool isFirstLayer = removedIndex==0;
  QCPLayer *targetLayer = isFirstLayer ? mLayers.at(removedIndex+1) : mLayers.at(removedIndex-1);
  QList<QCPLayerable*> children = layer->children();
  if (isFirstLayer) // prepend in reverse order (so order relative to each other stays the same)
  {
    for (int i=children.size()-1; i>=0; --i)
      children.at(i)->moveToLayer(targetLayer, true);
  } else  // append normally
  {
    for (int i=0; i<children.size(); ++i)
      children.at(i)->moveToLayer(targetLayer, false);
  }
  // if removed layer is current layer, change current layer to layer below/above:
  if (layer == mCurrentLayer)
    setCurrentLayer(targetLayer);
  // remove layer:
  delete layer;
  mLayers.removeOne(layer);
  updateLayerIndices();
  return true;
}
 
bool QCustomPlot::moveLayer(QCPLayer *layer, QCPLayer *otherLayer, QCustomPlot::LayerInsertMode insertMode)
{
  if (!mLayers.contains(layer))
  {
    qDebug() << Q_FUNC_INFO << "layer not a layer of this QCustomPlot:" << reinterpret_cast<quintptr>(layer);
    return false;
  }
  if (!mLayers.contains(otherLayer))
  {
    qDebug() << Q_FUNC_INFO << "otherLayer not a layer of this QCustomPlot:" << reinterpret_cast<quintptr>(otherLayer);
    return false;
  }
  
  mLayers.move(layer->index(), otherLayer->index() + (insertMode==limAbove ? 1:0));
  updateLayerIndices();
  return true;
}
 
int QCustomPlot::axisRectCount() const
{
  return axisRects().size();
}
 
QCPAxisRect *QCustomPlot::axisRect(int index) const
{
  const QList<QCPAxisRect*> rectList = axisRects();
  if (index >= 0 && index < rectList.size())
  {
    return rectList.at(index);
  } else
  {
    qDebug() << Q_FUNC_INFO << "invalid axis rect index" << index;
    return 0;
  }
}
 
QList<QCPAxisRect*> QCustomPlot::axisRects() const
{
  QList<QCPAxisRect*> result;
  QStack<QCPLayoutElement*> elementStack;
  if (mPlotLayout)
    elementStack.push(mPlotLayout);
  
  while (!elementStack.isEmpty())
  {
    foreach (QCPLayoutElement *element, elementStack.pop()->elements(false))
    {
      if (element)
      {
        elementStack.push(element);
        if (QCPAxisRect *ar = qobject_cast<QCPAxisRect*>(element))
          result.append(ar);
      }
    }
  }
  
  return result;
}
 
QCPLayoutElement *QCustomPlot::layoutElementAt(const QPointF &pos) const
{
  QCPLayoutElement *currentElement = mPlotLayout;
  bool searchSubElements = true;
  while (searchSubElements && currentElement)
  {
    searchSubElements = false;
    foreach (QCPLayoutElement *subElement, currentElement->elements(false))
    {
      if (subElement && subElement->realVisibility() && subElement->selectTest(pos, false) >= 0)
      {
        currentElement = subElement;
        searchSubElements = true;
        break;
      }
    }
  }
  return currentElement;
}
 
QList<QCPAxis*> QCustomPlot::selectedAxes() const
{
  QList<QCPAxis*> result, allAxes;
  foreach (QCPAxisRect *rect, axisRects())
    allAxes << rect->axes();
  
  foreach (QCPAxis *axis, allAxes)
  {
    if (axis->selectedParts() != QCPAxis::spNone)
      result.append(axis);
  }
  
  return result;
}
 
QList<QCPLegend*> QCustomPlot::selectedLegends() const
{
  QList<QCPLegend*> result;
  
  QStack<QCPLayoutElement*> elementStack;
  if (mPlotLayout)
    elementStack.push(mPlotLayout);
  
  while (!elementStack.isEmpty())
  {
    foreach (QCPLayoutElement *subElement, elementStack.pop()->elements(false))
    {
      if (subElement)
      {
        elementStack.push(subElement);
        if (QCPLegend *leg = qobject_cast<QCPLegend*>(subElement))
        {
          if (leg->selectedParts() != QCPLegend::spNone)
            result.append(leg);
        }
      }
    }
  }
  
  return result;
}
 
void QCustomPlot::deselectAll()
{
  foreach (QCPLayer *layer, mLayers)
  {
    foreach (QCPLayerable *layerable, layer->children())
      layerable->deselectEvent(0);
  }
}
 
void QCustomPlot::replot(QCustomPlot::RefreshPriority refreshPriority)
{
  if (mReplotting) // incase signals loop back to replot slot
    return;
  mReplotting = true;
  emit beforeReplot();
  
  mPaintBuffer.fill(mBackgroundBrush.style() == Qt::SolidPattern ? mBackgroundBrush.color() : Qt::transparent);
  QCPPainter painter;
  painter.begin(&mPaintBuffer);
  if (painter.isActive())
  {
    painter.setRenderHint(QPainter::HighQualityAntialiasing); // to make Antialiasing look good if using the OpenGL graphicssystem
    if (mBackgroundBrush.style() != Qt::SolidPattern && mBackgroundBrush.style() != Qt::NoBrush)
      painter.fillRect(mViewport, mBackgroundBrush);
    draw(&painter);
    painter.end();
    if ((refreshPriority == rpHint && mPlottingHints.testFlag(QCP::phForceRepaint)) || refreshPriority==rpImmediate)
      repaint();
    else
      update();
  } else // might happen if QCustomPlot has width or height zero
    qDebug() << Q_FUNC_INFO << "Couldn't activate painter on buffer";
  
  emit afterReplot();
  mReplotting = false;
}
 
void QCustomPlot::rescaleAxes(bool onlyVisiblePlottables)
{
  QList<QCPAxis*> allAxes;
  foreach (QCPAxisRect *rect, axisRects())
    allAxes << rect->axes();
  
  foreach (QCPAxis *axis, allAxes)
    axis->rescale(onlyVisiblePlottables);
}
 
bool QCustomPlot::savePdf(const QString &fileName, bool noCosmeticPen, int width, int height, const QString &pdfCreator, const QString &pdfTitle)
{
  bool success = false;
#ifdef QT_NO_PRINTER
  Q_UNUSED(fileName)
  Q_UNUSED(noCosmeticPen)
  Q_UNUSED(width)
  Q_UNUSED(height)
  qDebug() << Q_FUNC_INFO << "Qt was built without printer support (QT_NO_PRINTER). PDF not created.";
#else
  int newWidth, newHeight;
  if (width == 0 || height == 0)
  {
    newWidth = this->width();
    newHeight = this->height();
  } else
  {
    newWidth = width;
    newHeight = height;
  }
  
  QPrinter printer(QPrinter::ScreenResolution);
  printer.setOutputFileName(fileName);
  printer.setOutputFormat(QPrinter::PdfFormat);
  printer.setFullPage(true);
  printer.setColorMode(QPrinter::Color);
  printer.printEngine()->setProperty(QPrintEngine::PPK_Creator, pdfCreator);
  printer.printEngine()->setProperty(QPrintEngine::PPK_DocumentName, pdfTitle);
  QRect oldViewport = viewport();
  setViewport(QRect(0, 0, newWidth, newHeight));
  printer.setPaperSize(viewport().size(), QPrinter::DevicePixel);
  QCPPainter printpainter;
  if (printpainter.begin(&printer))
  {
    printpainter.setMode(QCPPainter::pmVectorized);
    printpainter.setMode(QCPPainter::pmNoCaching);
    printpainter.setMode(QCPPainter::pmNonCosmetic, noCosmeticPen);
    printpainter.setWindow(mViewport);
    if (mBackgroundBrush.style() != Qt::NoBrush &&
        mBackgroundBrush.color() != Qt::white &&
        mBackgroundBrush.color() != Qt::transparent &&
        mBackgroundBrush.color().alpha() > 0) // draw pdf background color if not white/transparent
      printpainter.fillRect(viewport(), mBackgroundBrush);
    draw(&printpainter);
    printpainter.end();
    success = true;
  }
  setViewport(oldViewport);
#endif // QT_NO_PRINTER
  return success;
}
 
bool QCustomPlot::savePng(const QString &fileName, int width, int height, double scale, int quality)
{
  return saveRastered(fileName, width, height, scale, "PNG", quality);
}
 
bool QCustomPlot::saveJpg(const QString &fileName, int width, int height, double scale, int quality)
{
  return saveRastered(fileName, width, height, scale, "JPG", quality);
}
 
bool QCustomPlot::saveBmp(const QString &fileName, int width, int height, double scale)
{
  return saveRastered(fileName, width, height, scale, "BMP");
}
 
QSize QCustomPlot::minimumSizeHint() const
{
  return mPlotLayout->minimumSizeHint();
}
 
QSize QCustomPlot::sizeHint() const
{
  return mPlotLayout->minimumSizeHint();
}
 
void QCustomPlot::paintEvent(QPaintEvent *event)
{
  Q_UNUSED(event);
  QPainter painter(this);
  painter.drawPixmap(0, 0, mPaintBuffer);
}
 
void QCustomPlot::resizeEvent(QResizeEvent *event)
{
  // resize and repaint the buffer:
  mPaintBuffer = QPixmap(event->size());
  setViewport(rect());
  replot(rpQueued); // queued update is important here, to prevent painting issues in some contexts
}
 
void QCustomPlot::mouseDoubleClickEvent(QMouseEvent *event)
{
  emit mouseDoubleClick(event);
  
  QVariant details;
  QCPLayerable *clickedLayerable = layerableAt(event->pos(), false, &details);
  
  // emit specialized object double click signals:
  if (QCPAbstractPlottable *ap = qobject_cast<QCPAbstractPlottable*>(clickedLayerable))
    emit plottableDoubleClick(ap, event);
  else if (QCPAxis *ax = qobject_cast<QCPAxis*>(clickedLayerable))
    emit axisDoubleClick(ax, details.value<QCPAxis::SelectablePart>(), event);
  else if (QCPAbstractItem *ai = qobject_cast<QCPAbstractItem*>(clickedLayerable))
    emit itemDoubleClick(ai, event);
  else if (QCPLegend *lg = qobject_cast<QCPLegend*>(clickedLayerable))
    emit legendDoubleClick(lg, 0, event);
  else if (QCPAbstractLegendItem *li = qobject_cast<QCPAbstractLegendItem*>(clickedLayerable))
    emit legendDoubleClick(li->parentLegend(), li, event);
  else if (QCPPlotTitle *pt = qobject_cast<QCPPlotTitle*>(clickedLayerable))
    emit titleDoubleClick(event, pt);
  
  // call double click event of affected layout element:
  if (QCPLayoutElement *el = layoutElementAt(event->pos()))
    el->mouseDoubleClickEvent(event);
  
  // call release event of affected layout element (as in mouseReleaseEvent, since the mouseDoubleClick replaces the second release event in double click case):
  if (mMouseEventElement)
  {
    mMouseEventElement->mouseReleaseEvent(event);
    mMouseEventElement = 0;
  }
  
  //QWidget::mouseDoubleClickEvent(event); don't call base class implementation because it would just cause a mousePress/ReleaseEvent, which we don't want.
}
 
void QCustomPlot::mousePressEvent(QMouseEvent *event)
{
  emit mousePress(event);
  mMousePressPos = event->pos(); // need this to determine in releaseEvent whether it was a click (no position change between press and release)
  
  // call event of affected layout element:
  mMouseEventElement = layoutElementAt(event->pos());
  if (mMouseEventElement)
    mMouseEventElement->mousePressEvent(event);
  
  QWidget::mousePressEvent(event);
}
 
void QCustomPlot::mouseMoveEvent(QMouseEvent *event)
{
  emit mouseMove(event);
 
  // call event of affected layout element:
  if (mMouseEventElement)
    mMouseEventElement->mouseMoveEvent(event);
  
  QWidget::mouseMoveEvent(event);
}
 
void QCustomPlot::mouseReleaseEvent(QMouseEvent *event)
{
  emit mouseRelease(event);
  bool doReplot = false;
  
  if ((mMousePressPos-event->pos()).manhattanLength() < 5) // determine whether it was a click operation
  {
    if (event->button() == Qt::LeftButton)
    {
      // handle selection mechanism:
      QVariant details;
      QCPLayerable *clickedLayerable = layerableAt(event->pos(), true, &details);
      bool selectionStateChanged = false;
      bool additive = mInteractions.testFlag(QCP::iMultiSelect) && event->modifiers().testFlag(mMultiSelectModifier);
      // deselect all other layerables if not additive selection:
      if (!additive)
      {
        foreach (QCPLayer *layer, mLayers)
        {
          foreach (QCPLayerable *layerable, layer->children())
          {
            if (layerable != clickedLayerable && mInteractions.testFlag(layerable->selectionCategory()))
            {
              bool selChanged = false;
              layerable->deselectEvent(&selChanged);
              selectionStateChanged |= selChanged;
            }
          }
        }
      }
      if (clickedLayerable && mInteractions.testFlag(clickedLayerable->selectionCategory()))
      {
        // a layerable was actually clicked, call its selectEvent:
        bool selChanged = false;
        clickedLayerable->selectEvent(event, additive, details, &selChanged);
        selectionStateChanged |= selChanged;
      }
      doReplot = true;
      if (selectionStateChanged)
        emit selectionChangedByUser();
    }
    
    // emit specialized object click signals:
    QVariant details;
    QCPLayerable *clickedLayerable = layerableAt(event->pos(), false, &details); // for these signals, selectability is ignored, that's why we call this again with onlySelectable set to false
    if (QCPAbstractPlottable *ap = qobject_cast<QCPAbstractPlottable*>(clickedLayerable))
      emit plottableClick(ap, event);
    else if (QCPAxis *ax = qobject_cast<QCPAxis*>(clickedLayerable))
      emit axisClick(ax, details.value<QCPAxis::SelectablePart>(), event);
    else if (QCPAbstractItem *ai = qobject_cast<QCPAbstractItem*>(clickedLayerable))
      emit itemClick(ai, event);
    else if (QCPLegend *lg = qobject_cast<QCPLegend*>(clickedLayerable))
      emit legendClick(lg, 0, event);
    else if (QCPAbstractLegendItem *li = qobject_cast<QCPAbstractLegendItem*>(clickedLayerable))
      emit legendClick(li->parentLegend(), li, event);
    else if (QCPPlotTitle *pt = qobject_cast<QCPPlotTitle*>(clickedLayerable))
      emit titleClick(event, pt);
  }
  
  // call event of affected layout element:
  if (mMouseEventElement)
  {
    mMouseEventElement->mouseReleaseEvent(event);
    mMouseEventElement = 0;
  }
  
  if (doReplot || noAntialiasingOnDrag())
    replot();
  
  QWidget::mouseReleaseEvent(event);
}
 
void QCustomPlot::wheelEvent(QWheelEvent *event)
{
  emit mouseWheel(event);
  
  // call event of affected layout element:
  if (QCPLayoutElement *el = layoutElementAt(event->pos()))
    el->wheelEvent(event);
  
  QWidget::wheelEvent(event);
}
 
void QCustomPlot::draw(QCPPainter *painter)
{
  // run through layout phases:
  mPlotLayout->update(QCPLayoutElement::upPreparation);
  mPlotLayout->update(QCPLayoutElement::upMargins);
  mPlotLayout->update(QCPLayoutElement::upLayout);
  
  // draw viewport background pixmap:
  drawBackground(painter);
 
  // draw all layered objects (grid, axes, plottables, items, legend,...):
  foreach (QCPLayer *layer, mLayers)
  {
    foreach (QCPLayerable *child, layer->children())
    {
      if (child->realVisibility())
      {
        painter->save();
        painter->setClipRect(child->clipRect().translated(0, -1));
        child->applyDefaultAntialiasingHint(painter);
        child->draw(painter);
        painter->restore();
      }
    }
  }
  
  /* Debug code to draw all layout element rects
  foreach (QCPLayoutElement* el, findChildren<QCPLayoutElement*>())
  {
    painter->setBrush(Qt::NoBrush);
    painter->setPen(QPen(QColor(0, 0, 0, 100), 0, Qt::DashLine));
    painter->drawRect(el->rect());
    painter->setPen(QPen(QColor(255, 0, 0, 100), 0, Qt::DashLine));
    painter->drawRect(el->outerRect());
  }
  */
}
 
void QCustomPlot::drawBackground(QCPPainter *painter)
{
  // Note: background color is handled in individual replot/save functions
 
  // draw background pixmap (on top of fill, if brush specified):
  if (!mBackgroundPixmap.isNull())
  {
    if (mBackgroundScaled)
    {
      // check whether mScaledBackground needs to be updated:
      QSize scaledSize(mBackgroundPixmap.size());
      scaledSize.scale(mViewport.size(), mBackgroundScaledMode);
      if (mScaledBackgroundPixmap.size() != scaledSize)
        mScaledBackgroundPixmap = mBackgroundPixmap.scaled(mViewport.size(), mBackgroundScaledMode, Qt::SmoothTransformation);
      painter->drawPixmap(mViewport.topLeft(), mScaledBackgroundPixmap, QRect(0, 0, mViewport.width(), mViewport.height()) & mScaledBackgroundPixmap.rect());
    } else
    {
      painter->drawPixmap(mViewport.topLeft(), mBackgroundPixmap, QRect(0, 0, mViewport.width(), mViewport.height()));
    }
  }
}
 
 
void QCustomPlot::axisRemoved(QCPAxis *axis)
{
  if (xAxis == axis)
    xAxis = 0;
  if (xAxis2 == axis)
    xAxis2 = 0;
  if (yAxis == axis)
    yAxis = 0;
  if (yAxis2 == axis)
    yAxis2 = 0;
  
  // Note: No need to take care of range drag axes and range zoom axes, because they are stored in smart pointers
}
 
void QCustomPlot::legendRemoved(QCPLegend *legend)
{
  if (this->legend == legend)
    this->legend = 0;
}
 
void QCustomPlot::updateLayerIndices() const
{
  for (int i=0; i<mLayers.size(); ++i)
    mLayers.at(i)->mIndex = i;
}
 
QCPLayerable *QCustomPlot::layerableAt(const QPointF &pos, bool onlySelectable, QVariant *selectionDetails) const
{
  for (int layerIndex=mLayers.size()-1; layerIndex>=0; --layerIndex)
  {
    const QList<QCPLayerable*> layerables = mLayers.at(layerIndex)->children();
    double minimumDistance = selectionTolerance()*1.1;
    QCPLayerable *minimumDistanceLayerable = 0;
    for (int i=layerables.size()-1; i>=0; --i)
    {
      if (!layerables.at(i)->realVisibility())
        continue;
      QVariant details;
      double dist = layerables.at(i)->selectTest(pos, onlySelectable, &details);
      if (dist >= 0 && dist < minimumDistance)
      {
        minimumDistance = dist;
        minimumDistanceLayerable = layerables.at(i);
        if (selectionDetails) *selectionDetails = details;
      }
    }
    if (minimumDistance < selectionTolerance())
      return minimumDistanceLayerable;
  }
  return 0;
}
 
bool QCustomPlot::saveRastered(const QString &fileName, int width, int height, double scale, const char *format, int quality)
{
  QPixmap buffer = toPixmap(width, height, scale);
  if (!buffer.isNull())
    return buffer.save(fileName, format, quality);
  else
    return false;
}
 
QPixmap QCustomPlot::toPixmap(int width, int height, double scale)
{
  // this method is somewhat similar to toPainter. Change something here, and a change in toPainter might be necessary, too.
  int newWidth, newHeight;
  if (width == 0 || height == 0)
  {
    newWidth = this->width();
    newHeight = this->height();
  } else
  {
    newWidth = width;
    newHeight = height;
  }
  int scaledWidth = qRound(scale*newWidth);
  int scaledHeight = qRound(scale*newHeight);
 
  QPixmap result(scaledWidth, scaledHeight);
  result.fill(mBackgroundBrush.style() == Qt::SolidPattern ? mBackgroundBrush.color() : Qt::transparent); // if using non-solid pattern, make transparent now and draw brush pattern later
  QCPPainter painter;
  painter.begin(&result);
  if (painter.isActive())
  {
    QRect oldViewport = viewport();
    setViewport(QRect(0, 0, newWidth, newHeight));
    painter.setMode(QCPPainter::pmNoCaching);
    if (!qFuzzyCompare(scale, 1.0))
    {
      if (scale > 1.0) // for scale < 1 we always want cosmetic pens where possible, because else lines might disappear for very small scales
        painter.setMode(QCPPainter::pmNonCosmetic);
      painter.scale(scale, scale);
    }
    if (mBackgroundBrush.style() != Qt::SolidPattern && mBackgroundBrush.style() != Qt::NoBrush)
      painter.fillRect(mViewport, mBackgroundBrush);
    draw(&painter);
    setViewport(oldViewport);
    painter.end();
  } else // might happen if pixmap has width or height zero
  {
    qDebug() << Q_FUNC_INFO << "Couldn't activate painter on pixmap";
    return QPixmap();
  }
  return result;
}
 
void QCustomPlot::toPainter(QCPPainter *painter, int width, int height)
{
  // this method is somewhat similar to toPixmap. Change something here, and a change in toPixmap might be necessary, too.
  int newWidth, newHeight;
  if (width == 0 || height == 0)
  {
    newWidth = this->width();
    newHeight = this->height();
  } else
  {
    newWidth = width;
    newHeight = height;
  }
 
  if (painter->isActive())
  {
    QRect oldViewport = viewport();
    setViewport(QRect(0, 0, newWidth, newHeight));
    painter->setMode(QCPPainter::pmNoCaching);
    // warning: the following is different in toPixmap, because a solid background color is applied there via QPixmap::fill
    // here, we need to do this via QPainter::fillRect.
    if (mBackgroundBrush.style() != Qt::NoBrush)
      painter->fillRect(mViewport, mBackgroundBrush);
    draw(painter);
    setViewport(oldViewport);
  } else
    qDebug() << Q_FUNC_INFO << "Passed painter is not active";
}
 
 
 
QCPColorGradient::QCPColorGradient(GradientPreset preset) :
  mLevelCount(350),
  mColorInterpolation(ciRGB),
  mPeriodic(false),
  mColorBufferInvalidated(true)
{
  mColorBuffer.fill(qRgb(0, 0, 0), mLevelCount);
  loadPreset(preset);
}
 
/* undocumented operator */
bool QCPColorGradient::operator==(const QCPColorGradient &other) const
{
  return ((other.mLevelCount == this->mLevelCount) &&
          (other.mColorInterpolation == this->mColorInterpolation) &&
          (other.mPeriodic == this->mPeriodic) &&
          (other.mColorStops == this->mColorStops));
}
 
void QCPColorGradient::setLevelCount(int n)
{
  if (n < 2)
  {
    qDebug() << Q_FUNC_INFO << "n must be greater or equal 2 but was" << n;
    n = 2;
  }
  if (n != mLevelCount)
  {
    mLevelCount = n;
    mColorBufferInvalidated = true;
  }
}
 
void QCPColorGradient::setColorStops(const QMap<double, QColor> &colorStops)
{
  mColorStops = colorStops;
  mColorBufferInvalidated = true;
}
 
void QCPColorGradient::setColorStopAt(double position, const QColor &color)
{
  mColorStops.insert(position, color);
  mColorBufferInvalidated = true;
}
 
void QCPColorGradient::setColorInterpolation(QCPColorGradient::ColorInterpolation interpolation)
{
  if (interpolation != mColorInterpolation)
  {
    mColorInterpolation = interpolation;
    mColorBufferInvalidated = true;
  }
}
 
void QCPColorGradient::setPeriodic(bool enabled)
{
  mPeriodic = enabled;
}
 
void QCPColorGradient::colorize(const double *data, const QCPRange &range, QRgb *scanLine, int n, int dataIndexFactor, bool logarithmic)
{
  // If you change something here, make sure to also adapt ::color()
  if (!data)
  {
    qDebug() << Q_FUNC_INFO << "null pointer given as data";
    return;
  }
  if (!scanLine)
  {
    qDebug() << Q_FUNC_INFO << "null pointer given as scanLine";
    return;
  }
  if (mColorBufferInvalidated)
    updateColorBuffer();
  
  if (!logarithmic)
  {
    const double posToIndexFactor = mLevelCount/range.size();
    if (mPeriodic)
    {
      for (int i=0; i<n; ++i)
      {
        int index = (int)((data[dataIndexFactor*i]-range.lower)*posToIndexFactor) % mLevelCount;
        if (index < 0)
          index += mLevelCount;
        scanLine[i] = mColorBuffer.at(index);
      }
    } else
    {
      for (int i=0; i<n; ++i)
      {
        int index = (data[dataIndexFactor*i]-range.lower)*posToIndexFactor;
        if (index < 0)
          index = 0;
        else if (index >= mLevelCount)
          index = mLevelCount-1;
        scanLine[i] = mColorBuffer.at(index);
      }
    }
  } else // logarithmic == true
  {
    if (mPeriodic)
    {
      for (int i=0; i<n; ++i)
      {
        int index = (int)(qLn(data[dataIndexFactor*i]/range.lower)/qLn(range.upper/range.lower)*mLevelCount) % mLevelCount;
        if (index < 0)
          index += mLevelCount;
        scanLine[i] = mColorBuffer.at(index);
      }
    } else
    {
      for (int i=0; i<n; ++i)
      {
        int index = qLn(data[dataIndexFactor*i]/range.lower)/qLn(range.upper/range.lower)*mLevelCount;
        if (index < 0)
          index = 0;
        else if (index >= mLevelCount)
          index = mLevelCount-1;
        scanLine[i] = mColorBuffer.at(index);
      }
    }
  }
}
 
QRgb QCPColorGradient::color(double position, const QCPRange &range, bool logarithmic)
{
  // If you change something here, make sure to also adapt ::colorize()
  if (mColorBufferInvalidated)
    updateColorBuffer();
  int index = 0;
  if (!logarithmic)
    index = (position-range.lower)*mLevelCount/range.size();
  else
    index = qLn(position/range.lower)/qLn(range.upper/range.lower)*mLevelCount;
  if (mPeriodic)
  {
    index = index % mLevelCount;
    if (index < 0)
      index += mLevelCount;
  } else
  {
    if (index < 0)
      index = 0;
    else if (index >= mLevelCount)
      index = mLevelCount-1;
  }
  return mColorBuffer.at(index);
}
 
void QCPColorGradient::loadPreset(GradientPreset preset)
{
  clearColorStops();
  switch (preset)
  {
    case gpGrayscale:
      setColorInterpolation(ciRGB);
      setColorStopAt(0, Qt::black);
      setColorStopAt(1, Qt::white);
      break;
    case gpHot:
      setColorInterpolation(ciRGB);
      setColorStopAt(0, QColor(50, 0, 0));
      setColorStopAt(0.2, QColor(180, 10, 0));
      setColorStopAt(0.4, QColor(245, 50, 0));
      setColorStopAt(0.6, QColor(255, 150, 10));
      setColorStopAt(0.8, QColor(255, 255, 50));
      setColorStopAt(1, QColor(255, 255, 255));
      break;
    case gpCold:
      setColorInterpolation(ciRGB);
      setColorStopAt(0, QColor(0, 0, 50));
      setColorStopAt(0.2, QColor(0, 10, 180));
      setColorStopAt(0.4, QColor(0, 50, 245));
      setColorStopAt(0.6, QColor(10, 150, 255));
      setColorStopAt(0.8, QColor(50, 255, 255));
      setColorStopAt(1, QColor(255, 255, 255));
      break;
    case gpNight:
      setColorInterpolation(ciHSV);
      setColorStopAt(0, QColor(10, 20, 30));
      setColorStopAt(1, QColor(250, 255, 250));
      break;
    case gpCandy:
      setColorInterpolation(ciHSV);
      setColorStopAt(0, QColor(0, 0, 255));
      setColorStopAt(1, QColor(255, 250, 250));
      break;
    case gpGeography:
      setColorInterpolation(ciRGB);
      setColorStopAt(0, QColor(70, 170, 210));
      setColorStopAt(0.20, QColor(90, 160, 180));
      setColorStopAt(0.25, QColor(45, 130, 175));
      setColorStopAt(0.30, QColor(100, 140, 125));
      setColorStopAt(0.5, QColor(100, 140, 100));
      setColorStopAt(0.6, QColor(130, 145, 120));
      setColorStopAt(0.7, QColor(140, 130, 120));
      setColorStopAt(0.9, QColor(180, 190, 190));
      setColorStopAt(1, QColor(210, 210, 230));
      break;
    case gpIon:
      setColorInterpolation(ciHSV);
      setColorStopAt(0, QColor(50, 10, 10));
      setColorStopAt(0.45, QColor(0, 0, 255));
      setColorStopAt(0.8, QColor(0, 255, 255));
      setColorStopAt(1, QColor(0, 255, 0));
      break;
    case gpThermal:
      setColorInterpolation(ciRGB);
      setColorStopAt(0, QColor(0, 0, 50));
      setColorStopAt(0.15, QColor(20, 0, 120));
      setColorStopAt(0.33, QColor(200, 30, 140));
      setColorStopAt(0.6, QColor(255, 100, 0));
      setColorStopAt(0.85, QColor(255, 255, 40));
      setColorStopAt(1, QColor(255, 255, 255));
      break;
    case gpPolar:
      setColorInterpolation(ciRGB);
      setColorStopAt(0, QColor(50, 255, 255));
      setColorStopAt(0.18, QColor(10, 70, 255));
      setColorStopAt(0.28, QColor(10, 10, 190));
      setColorStopAt(0.5, QColor(0, 0, 0));
      setColorStopAt(0.72, QColor(190, 10, 10));
      setColorStopAt(0.82, QColor(255, 70, 10));
      setColorStopAt(1, QColor(255, 255, 50));
      break;
    case gpSpectrum:
      setColorInterpolation(ciHSV);
      setColorStopAt(0, QColor(50, 0, 50));
      setColorStopAt(0.15, QColor(0, 0, 255));
      setColorStopAt(0.35, QColor(0, 255, 255));
      setColorStopAt(0.6, QColor(255, 255, 0));
      setColorStopAt(0.75, QColor(255, 30, 0));
      setColorStopAt(1, QColor(50, 0, 0));
      break;
    case gpJet:
      setColorInterpolation(ciRGB);
      setColorStopAt(0, QColor(0, 0, 100));
      setColorStopAt(0.15, QColor(0, 50, 255));
      setColorStopAt(0.35, QColor(0, 255, 255));
      setColorStopAt(0.65, QColor(255, 255, 0));
      setColorStopAt(0.85, QColor(255, 30, 0));
      setColorStopAt(1, QColor(100, 0, 0));
      break;
    case gpHues:
      setColorInterpolation(ciHSV);
      setColorStopAt(0, QColor(255, 0, 0));
      setColorStopAt(1.0/3.0, QColor(0, 0, 255));
      setColorStopAt(2.0/3.0, QColor(0, 255, 0));
      setColorStopAt(1, QColor(255, 0, 0));
      break;
  }
}
 
void QCPColorGradient::clearColorStops()
{
  mColorStops.clear();
  mColorBufferInvalidated = true;
}
 
QCPColorGradient QCPColorGradient::inverted() const
{
  QCPColorGradient result(*this);
  result.clearColorStops();
  for (QMap<double, QColor>::const_iterator it=mColorStops.constBegin(); it!=mColorStops.constEnd(); ++it)
    result.setColorStopAt(1.0-it.key(), it.value());
  return result;
}
 
void QCPColorGradient::updateColorBuffer()
{
  if (mColorBuffer.size() != mLevelCount)
    mColorBuffer.resize(mLevelCount);
  if (mColorStops.size() > 1)
  {
    double indexToPosFactor = 1.0/(double)(mLevelCount-1);
    for (int i=0; i<mLevelCount; ++i)
    {
      double position = i*indexToPosFactor;
      QMap<double, QColor>::const_iterator it = mColorStops.lowerBound(position);
      if (it == mColorStops.constEnd()) // position is on or after last stop, use color of last stop
      {
        mColorBuffer[i] = (it-1).value().rgb();
      } else if (it == mColorStops.constBegin()) // position is on or before first stop, use color of first stop
      {
        mColorBuffer[i] = it.value().rgb();
      } else // position is in between stops (or on an intermediate stop), interpolate color
      {
        QMap<double, QColor>::const_iterator high = it;
        QMap<double, QColor>::const_iterator low = it-1;
        double t = (position-low.key())/(high.key()-low.key()); // interpolation factor 0..1
        switch (mColorInterpolation)
        {
          case ciRGB:
          {
            mColorBuffer[i] = qRgb((1-t)*low.value().red() + t*high.value().red(),
                                   (1-t)*low.value().green() + t*high.value().green(),
                                   (1-t)*low.value().blue() + t*high.value().blue());
            break;
          }
          case ciHSV:
          {
            QColor lowHsv = low.value().toHsv();
            QColor highHsv = high.value().toHsv();
            double hue = 0;
            double hueDiff = highHsv.hueF()-lowHsv.hueF();
            if (hueDiff > 0.5)
              hue = lowHsv.hueF() - t*(1.0-hueDiff);
            else if (hueDiff < -0.5)
              hue = lowHsv.hueF() + t*(1.0+hueDiff);
            else
              hue = lowHsv.hueF() + t*hueDiff;
            if (hue < 0) hue += 1.0;
            else if (hue >= 1.0) hue -= 1.0;
            mColorBuffer[i] = QColor::fromHsvF(hue, (1-t)*lowHsv.saturationF() + t*highHsv.saturationF(), (1-t)*lowHsv.valueF() + t*highHsv.valueF()).rgb();
            break;
          }
        }
      }
    }
  } else if (mColorStops.size() == 1)
  {
    mColorBuffer.fill(mColorStops.constBegin().value().rgb());
  } else // mColorStops is empty, fill color buffer with black
  {
    mColorBuffer.fill(qRgb(0, 0, 0));
  }
  mColorBufferInvalidated = false;
}
 
 
 
/* start documentation of inline functions */
 
/* end documentation of inline functions */
 
QCPAxisRect::QCPAxisRect(QCustomPlot *parentPlot, bool setupDefaultAxes) :
  QCPLayoutElement(parentPlot),
  mBackgroundBrush(Qt::NoBrush),
  mBackgroundScaled(true),
  mBackgroundScaledMode(Qt::KeepAspectRatioByExpanding),
  mInsetLayout(new QCPLayoutInset),
  mRangeDrag(Qt::Horizontal|Qt::Vertical),
  mRangeZoom(Qt::Horizontal|Qt::Vertical),
  mRangeZoomFactorHorz(0.85),
  mRangeZoomFactorVert(0.85),
  mDragging(false)
{
  mInsetLayout->initializeParentPlot(mParentPlot);
  mInsetLayout->setParentLayerable(this);
  mInsetLayout->setParent(this);
  
  setMinimumSize(50, 50);
  setMinimumMargins(QMargins(15, 15, 15, 15));
  mAxes.insert(QCPAxis::atLeft, QList<QCPAxis*>());
  mAxes.insert(QCPAxis::atRight, QList<QCPAxis*>());
  mAxes.insert(QCPAxis::atTop, QList<QCPAxis*>());
  mAxes.insert(QCPAxis::atBottom, QList<QCPAxis*>());
  
  if (setupDefaultAxes)
  {
    QCPAxis *xAxis = addAxis(QCPAxis::atBottom);
    QCPAxis *yAxis = addAxis(QCPAxis::atLeft);
    QCPAxis *xAxis2 = addAxis(QCPAxis::atTop);
    QCPAxis *yAxis2 = addAxis(QCPAxis::atRight);
    setRangeDragAxes(xAxis, yAxis);
    setRangeZoomAxes(xAxis, yAxis);
    xAxis2->setVisible(false);
    yAxis2->setVisible(false);
    xAxis->grid()->setVisible(true);
    yAxis->grid()->setVisible(true);
    xAxis2->grid()->setVisible(false);
    yAxis2->grid()->setVisible(false);
    xAxis2->grid()->setZeroLinePen(Qt::NoPen);
    yAxis2->grid()->setZeroLinePen(Qt::NoPen);
    xAxis2->grid()->setVisible(false);
    yAxis2->grid()->setVisible(false);
  }
}
 
QCPAxisRect::~QCPAxisRect()
{
  delete mInsetLayout;
  mInsetLayout = 0;
  
  QList<QCPAxis*> axesList = axes();
  for (int i=0; i<axesList.size(); ++i)
    removeAxis(axesList.at(i));
}
 
int QCPAxisRect::axisCount(QCPAxis::AxisType type) const
{
  return mAxes.value(type).size();
}
 
QCPAxis *QCPAxisRect::axis(QCPAxis::AxisType type, int index) const
{
  QList<QCPAxis*> ax(mAxes.value(type));
  if (index >= 0 && index < ax.size())
  {
    return ax.at(index);
  } else
  {
    qDebug() << Q_FUNC_INFO << "Axis index out of bounds:" << index;
    return 0;
  }
}
 
QList<QCPAxis*> QCPAxisRect::axes(QCPAxis::AxisTypes types) const
{
  QList<QCPAxis*> result;
  if (types.testFlag(QCPAxis::atLeft))
    result << mAxes.value(QCPAxis::atLeft);
  if (types.testFlag(QCPAxis::atRight))
    result << mAxes.value(QCPAxis::atRight);
  if (types.testFlag(QCPAxis::atTop))
    result << mAxes.value(QCPAxis::atTop);
  if (types.testFlag(QCPAxis::atBottom))
    result << mAxes.value(QCPAxis::atBottom);
  return result;
}
 
QList<QCPAxis*> QCPAxisRect::axes() const
{
  QList<QCPAxis*> result;
  QHashIterator<QCPAxis::AxisType, QList<QCPAxis*> > it(mAxes);
  while (it.hasNext())
  {
    it.next();
    result << it.value();
  }
  return result;
}
 
QCPAxis *QCPAxisRect::addAxis(QCPAxis::AxisType type)
{
  QCPAxis *newAxis = new QCPAxis(this, type);
  if (mAxes[type].size() > 0) // multiple axes on one side, add half-bar axis ending to additional axes with offset
  {
    bool invert = (type == QCPAxis::atRight) || (type == QCPAxis::atBottom);
    newAxis->setLowerEnding(QCPLineEnding(QCPLineEnding::esHalfBar, 6, 10, !invert));
    newAxis->setUpperEnding(QCPLineEnding(QCPLineEnding::esHalfBar, 6, 10, invert));
  }
  mAxes[type].append(newAxis);
  return newAxis;
}
 
QList<QCPAxis*> QCPAxisRect::addAxes(QCPAxis::AxisTypes types)
{
  QList<QCPAxis*> result;
  if (types.testFlag(QCPAxis::atLeft))
    result << addAxis(QCPAxis::atLeft);
  if (types.testFlag(QCPAxis::atRight))
    result << addAxis(QCPAxis::atRight);
  if (types.testFlag(QCPAxis::atTop))
    result << addAxis(QCPAxis::atTop);
  if (types.testFlag(QCPAxis::atBottom))
    result << addAxis(QCPAxis::atBottom);
  return result;
}
 
bool QCPAxisRect::removeAxis(QCPAxis *axis)
{
  // don't access axis->axisType() to provide safety when axis is an invalid pointer, rather go through all axis containers:
  QHashIterator<QCPAxis::AxisType, QList<QCPAxis*> > it(mAxes);
  while (it.hasNext())
  {
    it.next();
    if (it.value().contains(axis))
    {
      mAxes[it.key()].removeOne(axis);
      if (qobject_cast<QCustomPlot*>(parentPlot())) // make sure this isn't called from QObject dtor when QCustomPlot is already destructed (happens when the axis rect is not in any layout and thus QObject-child of QCustomPlot)
        parentPlot()->axisRemoved(axis);
      delete axis;
      return true;
    }
  }
  qDebug() << Q_FUNC_INFO << "Axis isn't in axis rect:" << reinterpret_cast<quintptr>(axis);
  return false;
}
 
void QCPAxisRect::setupFullAxesBox(bool connectRanges)
{
  QCPAxis *xAxis, *yAxis, *xAxis2, *yAxis2;
  if (axisCount(QCPAxis::atBottom) == 0)
    xAxis = addAxis(QCPAxis::atBottom);
  else
    xAxis = axis(QCPAxis::atBottom);
  
  if (axisCount(QCPAxis::atLeft) == 0)
    yAxis = addAxis(QCPAxis::atLeft);
  else
    yAxis = axis(QCPAxis::atLeft);
  
  if (axisCount(QCPAxis::atTop) == 0)
    xAxis2 = addAxis(QCPAxis::atTop);
  else
    xAxis2 = axis(QCPAxis::atTop);
  
  if (axisCount(QCPAxis::atRight) == 0)
    yAxis2 = addAxis(QCPAxis::atRight);
  else
    yAxis2 = axis(QCPAxis::atRight);
  
  xAxis->setVisible(true);
  yAxis->setVisible(true);
  xAxis2->setVisible(true);
  yAxis2->setVisible(true);
  xAxis2->setTickLabels(false);
  yAxis2->setTickLabels(false);
  
  xAxis2->setRange(xAxis->range());
  xAxis2->setRangeReversed(xAxis->rangeReversed());
  xAxis2->setScaleType(xAxis->scaleType());
  xAxis2->setScaleLogBase(xAxis->scaleLogBase());
  xAxis2->setTicks(xAxis->ticks());
  xAxis2->setAutoTickCount(xAxis->autoTickCount());
  xAxis2->setSubTickCount(xAxis->subTickCount());
  xAxis2->setAutoSubTicks(xAxis->autoSubTicks());
  xAxis2->setTickStep(xAxis->tickStep());
  xAxis2->setAutoTickStep(xAxis->autoTickStep());
  xAxis2->setNumberFormat(xAxis->numberFormat());
  xAxis2->setNumberPrecision(xAxis->numberPrecision());
  xAxis2->setTickLabelType(xAxis->tickLabelType());
  xAxis2->setDateTimeFormat(xAxis->dateTimeFormat());
  xAxis2->setDateTimeSpec(xAxis->dateTimeSpec());
 
  yAxis2->setRange(yAxis->range());
  yAxis2->setRangeReversed(yAxis->rangeReversed());
  yAxis2->setScaleType(yAxis->scaleType());
  yAxis2->setScaleLogBase(yAxis->scaleLogBase());
  yAxis2->setTicks(yAxis->ticks());
  yAxis2->setAutoTickCount(yAxis->autoTickCount());
  yAxis2->setSubTickCount(yAxis->subTickCount());
  yAxis2->setAutoSubTicks(yAxis->autoSubTicks());
  yAxis2->setTickStep(yAxis->tickStep());
  yAxis2->setAutoTickStep(yAxis->autoTickStep());
  yAxis2->setNumberFormat(yAxis->numberFormat());
  yAxis2->setNumberPrecision(yAxis->numberPrecision());
  yAxis2->setTickLabelType(yAxis->tickLabelType());
  yAxis2->setDateTimeFormat(yAxis->dateTimeFormat());
  yAxis2->setDateTimeSpec(yAxis->dateTimeSpec());
  
  if (connectRanges)
  {
    connect(xAxis, SIGNAL(rangeChanged(QCPRange)), xAxis2, SLOT(setRange(QCPRange)));
    connect(yAxis, SIGNAL(rangeChanged(QCPRange)), yAxis2, SLOT(setRange(QCPRange)));
  }
}
 
QList<QCPAbstractPlottable*> QCPAxisRect::plottables() const
{
  // Note: don't append all QCPAxis::plottables() into a list, because we might get duplicate entries
  QList<QCPAbstractPlottable*> result;
  for (int i=0; i<mParentPlot->mPlottables.size(); ++i)
  {
    if (mParentPlot->mPlottables.at(i)->keyAxis()->axisRect() == this ||mParentPlot->mPlottables.at(i)->valueAxis()->axisRect() == this)
      result.append(mParentPlot->mPlottables.at(i));
  }
  return result;
}
 
QList<QCPGraph*> QCPAxisRect::graphs() const
{
  // Note: don't append all QCPAxis::graphs() into a list, because we might get duplicate entries
  QList<QCPGraph*> result;
  for (int i=0; i<mParentPlot->mGraphs.size(); ++i)
  {
    if (mParentPlot->mGraphs.at(i)->keyAxis()->axisRect() == this || mParentPlot->mGraphs.at(i)->valueAxis()->axisRect() == this)
      result.append(mParentPlot->mGraphs.at(i));
  }
  return result;
}
 
QList<QCPAbstractItem *> QCPAxisRect::items() const
{
  // Note: don't just append all QCPAxis::items() into a list, because we might get duplicate entries
  //       and miss those items that have this axis rect as clipAxisRect.
  QList<QCPAbstractItem*> result;
  for (int itemId=0; itemId<mParentPlot->mItems.size(); ++itemId)
  {
    if (mParentPlot->mItems.at(itemId)->clipAxisRect() == this)
    {
      result.append(mParentPlot->mItems.at(itemId));
      continue;
    }
    QList<QCPItemPosition*> positions = mParentPlot->mItems.at(itemId)->positions();
    for (int posId=0; posId<positions.size(); ++posId)
    {
      if (positions.at(posId)->axisRect() == this ||
          positions.at(posId)->keyAxis()->axisRect() == this ||
          positions.at(posId)->valueAxis()->axisRect() == this)
      {
        result.append(mParentPlot->mItems.at(itemId));
        break;
      }
    }
  }
  return result;
}
 
void QCPAxisRect::update(UpdatePhase phase)
{
  QCPLayoutElement::update(phase);
  
  switch (phase)
  {
    case upPreparation:
    {
      QList<QCPAxis*> allAxes = axes();
      for (int i=0; i<allAxes.size(); ++i)
        allAxes.at(i)->setupTickVectors();
      break;
    }
    case upLayout:
    {
      mInsetLayout->setOuterRect(rect());
      break;
    }
    default: break;
  }
  
  // pass update call on to inset layout (doesn't happen automatically, because QCPAxisRect doesn't derive from QCPLayout):
  mInsetLayout->update(phase);
}
 
/* inherits documentation from base class */
QList<QCPLayoutElement*> QCPAxisRect::elements(bool recursive) const
{
  QList<QCPLayoutElement*> result;
  if (mInsetLayout)
  {
    result << mInsetLayout;
    if (recursive)
      result << mInsetLayout->elements(recursive);
  }
  return result;
}
 
/* inherits documentation from base class */
void QCPAxisRect::applyDefaultAntialiasingHint(QCPPainter *painter) const
{
  painter->setAntialiasing(false);
}
 
/* inherits documentation from base class */
void QCPAxisRect::draw(QCPPainter *painter)
{
  drawBackground(painter);
}
 
void QCPAxisRect::setBackground(const QPixmap &pm)
{
  mBackgroundPixmap = pm;
  mScaledBackgroundPixmap = QPixmap();
}
 
void QCPAxisRect::setBackground(const QBrush &brush)
{
  mBackgroundBrush = brush;
}
 
void QCPAxisRect::setBackground(const QPixmap &pm, bool scaled, Qt::AspectRatioMode mode)
{
  mBackgroundPixmap = pm;
  mScaledBackgroundPixmap = QPixmap();
  mBackgroundScaled = scaled;
  mBackgroundScaledMode = mode;
}
 
void QCPAxisRect::setBackgroundScaled(bool scaled)
{
  mBackgroundScaled = scaled;
}
 
void QCPAxisRect::setBackgroundScaledMode(Qt::AspectRatioMode mode)
{
  mBackgroundScaledMode = mode;
}
 
QCPAxis *QCPAxisRect::rangeDragAxis(Qt::Orientation orientation)
{
  return (orientation == Qt::Horizontal ? mRangeDragHorzAxis.data() : mRangeDragVertAxis.data());
}
 
QCPAxis *QCPAxisRect::rangeZoomAxis(Qt::Orientation orientation)
{
  return (orientation == Qt::Horizontal ? mRangeZoomHorzAxis.data() : mRangeZoomVertAxis.data());
}
 
double QCPAxisRect::rangeZoomFactor(Qt::Orientation orientation)
{
  return (orientation == Qt::Horizontal ? mRangeZoomFactorHorz : mRangeZoomFactorVert);
}
 
void QCPAxisRect::setRangeDrag(Qt::Orientations orientations)
{
  mRangeDrag = orientations;
}
 
void QCPAxisRect::setRangeZoom(Qt::Orientations orientations)
{
  mRangeZoom = orientations;
}
 
void QCPAxisRect::setRangeDragAxes(QCPAxis *horizontal, QCPAxis *vertical)
{
  mRangeDragHorzAxis = horizontal;
  mRangeDragVertAxis = vertical;
}
 
void QCPAxisRect::setRangeZoomAxes(QCPAxis *horizontal, QCPAxis *vertical)
{
  mRangeZoomHorzAxis = horizontal;
  mRangeZoomVertAxis = vertical;
}
 
void QCPAxisRect::setRangeZoomFactor(double horizontalFactor, double verticalFactor)
{
  mRangeZoomFactorHorz = horizontalFactor;
  mRangeZoomFactorVert = verticalFactor;
}
 
void QCPAxisRect::setRangeZoomFactor(double factor)
{
  mRangeZoomFactorHorz = factor;
  mRangeZoomFactorVert = factor;
}
 
void QCPAxisRect::drawBackground(QCPPainter *painter)
{
  // draw background fill:
  if (mBackgroundBrush != Qt::NoBrush)
    painter->fillRect(mRect, mBackgroundBrush);
  
  // draw background pixmap (on top of fill, if brush specified):
  if (!mBackgroundPixmap.isNull())
  {
    if (mBackgroundScaled)
    {
      // check whether mScaledBackground needs to be updated:
      QSize scaledSize(mBackgroundPixmap.size());
      scaledSize.scale(mRect.size(), mBackgroundScaledMode);
      if (mScaledBackgroundPixmap.size() != scaledSize)
        mScaledBackgroundPixmap = mBackgroundPixmap.scaled(mRect.size(), mBackgroundScaledMode, Qt::SmoothTransformation);
      painter->drawPixmap(mRect.topLeft(), mScaledBackgroundPixmap, QRect(0, 0, mRect.width(), mRect.height()) & mScaledBackgroundPixmap.rect());
    } else
    {
      painter->drawPixmap(mRect.topLeft(), mBackgroundPixmap, QRect(0, 0, mRect.width(), mRect.height()));
    }
  }
}
 
void QCPAxisRect::updateAxesOffset(QCPAxis::AxisType type)
{
  const QList<QCPAxis*> axesList = mAxes.value(type);
  if (axesList.isEmpty())
    return;
  
  bool isFirstVisible = !axesList.first()->visible(); // if the first axis is visible, the second axis (which is where the loop starts) isn't the first visible axis, so initialize with false
  for (int i=1; i<axesList.size(); ++i)
  {
    int offset = axesList.at(i-1)->offset() + axesList.at(i-1)->calculateMargin();
    if (axesList.at(i)->visible()) // only add inner tick length to offset if this axis is visible and it's not the first visible one (might happen if true first axis is invisible)
    {
      if (!isFirstVisible)
        offset += axesList.at(i)->tickLengthIn();
      isFirstVisible = false;
    }
    axesList.at(i)->setOffset(offset);
  }
}
 
/* inherits documentation from base class */
int QCPAxisRect::calculateAutoMargin(QCP::MarginSide side)
{
  if (!mAutoMargins.testFlag(side))
    qDebug() << Q_FUNC_INFO << "Called with side that isn't specified as auto margin";
  
  updateAxesOffset(QCPAxis::marginSideToAxisType(side));
  
  // note: only need to look at the last (outer most) axis to determine the total margin, due to updateAxisOffset call
  const QList<QCPAxis*> axesList = mAxes.value(QCPAxis::marginSideToAxisType(side));
  if (axesList.size() > 0)
    return axesList.last()->offset() + axesList.last()->calculateMargin();
  else
    return 0;
}
 
void QCPAxisRect::mousePressEvent(QMouseEvent *event)
{
  mDragStart = event->pos(); // need this even when not LeftButton is pressed, to determine in releaseEvent whether it was a full click (no position change between press and release)
  if (event->buttons() & Qt::LeftButton)
  {
    mDragging = true;
    // initialize antialiasing backup in case we start dragging:
    if (mParentPlot->noAntialiasingOnDrag())
    {
      mAADragBackup = mParentPlot->antialiasedElements();
      mNotAADragBackup = mParentPlot->notAntialiasedElements();
    }
    // Mouse range dragging interaction:
    if (mParentPlot->interactions().testFlag(QCP::iRangeDrag))
    {
      if (mRangeDragHorzAxis)
        mDragStartHorzRange = mRangeDragHorzAxis.data()->range();
      if (mRangeDragVertAxis)
        mDragStartVertRange = mRangeDragVertAxis.data()->range();
    }
  }
}
 
void QCPAxisRect::mouseMoveEvent(QMouseEvent *event)
{
  // Mouse range dragging interaction:
  if (mDragging && mParentPlot->interactions().testFlag(QCP::iRangeDrag))
  {
    if (mRangeDrag.testFlag(Qt::Horizontal))
    {
      if (QCPAxis *rangeDragHorzAxis = mRangeDragHorzAxis.data())
      {
        if (rangeDragHorzAxis->mScaleType == QCPAxis::stLinear)
        {
          double diff = rangeDragHorzAxis->pixelToCoord(mDragStart.x()) - rangeDragHorzAxis->pixelToCoord(event->pos().x());
          rangeDragHorzAxis->setRange(mDragStartHorzRange.lower+diff, mDragStartHorzRange.upper+diff);
        } else if (rangeDragHorzAxis->mScaleType == QCPAxis::stLogarithmic)
        {
          double diff = rangeDragHorzAxis->pixelToCoord(mDragStart.x()) / rangeDragHorzAxis->pixelToCoord(event->pos().x());
          rangeDragHorzAxis->setRange(mDragStartHorzRange.lower*diff, mDragStartHorzRange.upper*diff);
        }
      }
    }
    if (mRangeDrag.testFlag(Qt::Vertical))
    {
      if (QCPAxis *rangeDragVertAxis = mRangeDragVertAxis.data())
      {
        if (rangeDragVertAxis->mScaleType == QCPAxis::stLinear)
        {
          double diff = rangeDragVertAxis->pixelToCoord(mDragStart.y()) - rangeDragVertAxis->pixelToCoord(event->pos().y());
          rangeDragVertAxis->setRange(mDragStartVertRange.lower+diff, mDragStartVertRange.upper+diff);
        } else if (rangeDragVertAxis->mScaleType == QCPAxis::stLogarithmic)
        {
          double diff = rangeDragVertAxis->pixelToCoord(mDragStart.y()) / rangeDragVertAxis->pixelToCoord(event->pos().y());
          rangeDragVertAxis->setRange(mDragStartVertRange.lower*diff, mDragStartVertRange.upper*diff);
        }
      }
    }
    if (mRangeDrag != 0) // if either vertical or horizontal drag was enabled, do a replot
    {
      if (mParentPlot->noAntialiasingOnDrag())
        mParentPlot->setNotAntialiasedElements(QCP::aeAll);
      mParentPlot->replot();
    }
  }
}
 
/* inherits documentation from base class */
void QCPAxisRect::mouseReleaseEvent(QMouseEvent *event)
{
  Q_UNUSED(event)
  mDragging = false;
  if (mParentPlot->noAntialiasingOnDrag())
  {
    mParentPlot->setAntialiasedElements(mAADragBackup);
    mParentPlot->setNotAntialiasedElements(mNotAADragBackup);
  }
}
 
void QCPAxisRect::wheelEvent(QWheelEvent *event)
{
  // Mouse range zooming interaction:
  if (mParentPlot->interactions().testFlag(QCP::iRangeZoom))
  {
    if (mRangeZoom != 0)
    {
      double factor;
      double wheelSteps = event->delta()/120.0; // a single step delta is +/-120 usually
      if (mRangeZoom.testFlag(Qt::Horizontal))
      {
        factor = pow(mRangeZoomFactorHorz, wheelSteps);
        if (mRangeZoomHorzAxis.data())
          mRangeZoomHorzAxis.data()->scaleRange(factor, mRangeZoomHorzAxis.data()->pixelToCoord(event->pos().x()));
      }
      if (mRangeZoom.testFlag(Qt::Vertical))
      {
        factor = pow(mRangeZoomFactorVert, wheelSteps);
        if (mRangeZoomVertAxis.data())
          mRangeZoomVertAxis.data()->scaleRange(factor, mRangeZoomVertAxis.data()->pixelToCoord(event->pos().y()));
      }
      mParentPlot->replot();
    }
  }
}
 
 
 
/* start of documentation of signals */
 
/* end of documentation of signals */
 
QCPAbstractLegendItem::QCPAbstractLegendItem(QCPLegend *parent) :
  QCPLayoutElement(parent->parentPlot()),
  mParentLegend(parent),
  mFont(parent->font()),
  mTextColor(parent->textColor()),
  mSelectedFont(parent->selectedFont()),
  mSelectedTextColor(parent->selectedTextColor()),
  mSelectable(true),
  mSelected(false)
{
  setLayer("legend");
  setMargins(QMargins(8, 2, 8, 2));
}
 
void QCPAbstractLegendItem::setFont(const QFont &font)
{
  mFont = font;
}
 
void QCPAbstractLegendItem::setTextColor(const QColor &color)
{
  mTextColor = color;
}
 
void QCPAbstractLegendItem::setSelectedFont(const QFont &font)
{
  mSelectedFont = font;
}
 
void QCPAbstractLegendItem::setSelectedTextColor(const QColor &color)
{
  mSelectedTextColor = color;
}
 
void QCPAbstractLegendItem::setSelectable(bool selectable)
{
  if (mSelectable != selectable)
  {
    mSelectable = selectable;
    emit selectableChanged(mSelectable);
  }
}
 
void QCPAbstractLegendItem::setSelected(bool selected)
{
  if (mSelected != selected)
  {
    mSelected = selected;
    emit selectionChanged(mSelected);
  }
}
 
/* inherits documentation from base class */
double QCPAbstractLegendItem::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  if (!mParentPlot) return -1;
  if (onlySelectable && (!mSelectable || !mParentLegend->selectableParts().testFlag(QCPLegend::spItems)))
    return -1;
  
  if (mRect.contains(pos.toPoint()))
    return mParentPlot->selectionTolerance()*0.99;
  else
    return -1;
}
 
/* inherits documentation from base class */
void QCPAbstractLegendItem::applyDefaultAntialiasingHint(QCPPainter *painter) const
{
  applyAntialiasingHint(painter, mAntialiased, QCP::aeLegendItems);
}
 
/* inherits documentation from base class */
QRect QCPAbstractLegendItem::clipRect() const
{
  return mOuterRect;
}
 
/* inherits documentation from base class */
void QCPAbstractLegendItem::selectEvent(QMouseEvent *event, bool additive, const QVariant &details, bool *selectionStateChanged)
{
  Q_UNUSED(event)
  Q_UNUSED(details)
  if (mSelectable && mParentLegend->selectableParts().testFlag(QCPLegend::spItems))
  {
    bool selBefore = mSelected;
    setSelected(additive ? !mSelected : true);
    if (selectionStateChanged)
      *selectionStateChanged = mSelected != selBefore;
  }
}
 
/* inherits documentation from base class */
void QCPAbstractLegendItem::deselectEvent(bool *selectionStateChanged)
{
  if (mSelectable && mParentLegend->selectableParts().testFlag(QCPLegend::spItems))
  {
    bool selBefore = mSelected;
    setSelected(false);
    if (selectionStateChanged)
      *selectionStateChanged = mSelected != selBefore;
  }
}
 
 
QCPPlottableLegendItem::QCPPlottableLegendItem(QCPLegend *parent, QCPAbstractPlottable *plottable) :
  QCPAbstractLegendItem(parent),
  mPlottable(plottable)
{
}
 
QPen QCPPlottableLegendItem::getIconBorderPen() const
{
  return mSelected ? mParentLegend->selectedIconBorderPen() : mParentLegend->iconBorderPen();
}
 
QColor QCPPlottableLegendItem::getTextColor() const
{
  return mSelected ? mSelectedTextColor : mTextColor;
}
 
QFont QCPPlottableLegendItem::getFont() const
{
  return mSelected ? mSelectedFont : mFont;
}
 
void QCPPlottableLegendItem::draw(QCPPainter *painter)
{
  if (!mPlottable) return;
  painter->setFont(getFont());
  painter->setPen(QPen(getTextColor()));
  QSizeF iconSize = mParentLegend->iconSize();
  QRectF textRect = painter->fontMetrics().boundingRect(0, 0, 0, iconSize.height(), Qt::TextDontClip, mPlottable->name());
  QRectF iconRect(mRect.topLeft(), iconSize);
  int textHeight = qMax(textRect.height(), iconSize.height());  // if text has smaller height than icon, center text vertically in icon height, else align tops
  painter->drawText(mRect.x()+iconSize.width()+mParentLegend->iconTextPadding(), mRect.y(), textRect.width(), textHeight, Qt::TextDontClip, mPlottable->name());
  // draw icon:
  painter->save();
  painter->setClipRect(iconRect, Qt::IntersectClip);
  mPlottable->drawLegendIcon(painter, iconRect);
  painter->restore();
  // draw icon border:
  if (getIconBorderPen().style() != Qt::NoPen)
  {
    painter->setPen(getIconBorderPen());
    painter->setBrush(Qt::NoBrush);
    painter->drawRect(iconRect);
  }
}
 
QSize QCPPlottableLegendItem::minimumSizeHint() const
{
  if (!mPlottable) return QSize();
  QSize result(0, 0);
  QRect textRect;
  QFontMetrics fontMetrics(getFont());
  QSize iconSize = mParentLegend->iconSize();
  textRect = fontMetrics.boundingRect(0, 0, 0, iconSize.height(), Qt::TextDontClip, mPlottable->name());
  result.setWidth(iconSize.width() + mParentLegend->iconTextPadding() + textRect.width() + mMargins.left() + mMargins.right());
  result.setHeight(qMax(textRect.height(), iconSize.height()) + mMargins.top() + mMargins.bottom());
  return result;
}
 
 
 
/* start of documentation of signals */
 
/* end of documentation of signals */
 
QCPLegend::QCPLegend()
{
  setRowSpacing(0);
  setColumnSpacing(10);
  setMargins(QMargins(2, 3, 2, 2));
  setAntialiased(false);
  setIconSize(32, 18);
  
  setIconTextPadding(7);
  
  setSelectableParts(spLegendBox | spItems);
  setSelectedParts(spNone);
  
  setBorderPen(QPen(Qt::black));
  setSelectedBorderPen(QPen(Qt::blue, 2));
  setIconBorderPen(Qt::NoPen);
  setSelectedIconBorderPen(QPen(Qt::blue, 2));
  setBrush(Qt::white);
  setSelectedBrush(Qt::white);
  setTextColor(Qt::black);
  setSelectedTextColor(Qt::blue);
}
 
QCPLegend::~QCPLegend()
{
  clearItems();
  if (mParentPlot)
    mParentPlot->legendRemoved(this);
}
 
/* no doc for getter, see setSelectedParts */
QCPLegend::SelectableParts QCPLegend::selectedParts() const
{
  // check whether any legend elements selected, if yes, add spItems to return value
  bool hasSelectedItems = false;
  for (int i=0; i<itemCount(); ++i)
  {
    if (item(i) && item(i)->selected())
    {
      hasSelectedItems = true;
      break;
    }
  }
  if (hasSelectedItems)
    return mSelectedParts | spItems;
  else
    return mSelectedParts & ~spItems;
}
 
void QCPLegend::setBorderPen(const QPen &pen)
{
  mBorderPen = pen;
}
 
void QCPLegend::setBrush(const QBrush &brush)
{
  mBrush = brush;
}
 
void QCPLegend::setFont(const QFont &font)
{
  mFont = font;
  for (int i=0; i<itemCount(); ++i)
  {
    if (item(i))
      item(i)->setFont(mFont);
  }
}
 
void QCPLegend::setTextColor(const QColor &color)
{
  mTextColor = color;
  for (int i=0; i<itemCount(); ++i)
  {
    if (item(i))
      item(i)->setTextColor(color);
  }
}
 
void QCPLegend::setIconSize(const QSize &size)
{
  mIconSize = size;
}
 
void QCPLegend::setIconSize(int width, int height)
{
  mIconSize.setWidth(width);
  mIconSize.setHeight(height);
}
 
void QCPLegend::setIconTextPadding(int padding)
{
  mIconTextPadding = padding;
}
 
void QCPLegend::setIconBorderPen(const QPen &pen)
{
  mIconBorderPen = pen;
}
 
void QCPLegend::setSelectableParts(const SelectableParts &selectable)
{
  if (mSelectableParts != selectable)
  {
    mSelectableParts = selectable;
    emit selectableChanged(mSelectableParts);
  }
}
 
void QCPLegend::setSelectedParts(const SelectableParts &selected)
{
  SelectableParts newSelected = selected;
  mSelectedParts = this->selectedParts(); // update mSelectedParts in case item selection changed
 
  if (mSelectedParts != newSelected)
  {
    if (!mSelectedParts.testFlag(spItems) && newSelected.testFlag(spItems)) // attempt to set spItems flag (can't do that)
    {
      qDebug() << Q_FUNC_INFO << "spItems flag can not be set, it can only be unset with this function";
      newSelected &= ~spItems;
    }
    if (mSelectedParts.testFlag(spItems) && !newSelected.testFlag(spItems)) // spItems flag was unset, so clear item selection
    {
      for (int i=0; i<itemCount(); ++i)
      {
        if (item(i))
          item(i)->setSelected(false);
      }
    }
    mSelectedParts = newSelected;
    emit selectionChanged(mSelectedParts);
  }
}
 
void QCPLegend::setSelectedBorderPen(const QPen &pen)
{
  mSelectedBorderPen = pen;
}
 
void QCPLegend::setSelectedIconBorderPen(const QPen &pen)
{
  mSelectedIconBorderPen = pen;
}
 
void QCPLegend::setSelectedBrush(const QBrush &brush)
{
  mSelectedBrush = brush;
}
 
void QCPLegend::setSelectedFont(const QFont &font)
{
  mSelectedFont = font;
  for (int i=0; i<itemCount(); ++i)
  {
    if (item(i))
      item(i)->setSelectedFont(font);
  }
}
 
void QCPLegend::setSelectedTextColor(const QColor &color)
{
  mSelectedTextColor = color;
  for (int i=0; i<itemCount(); ++i)
  {
    if (item(i))
      item(i)->setSelectedTextColor(color);
  }
}
 
QCPAbstractLegendItem *QCPLegend::item(int index) const
{
  return qobject_cast<QCPAbstractLegendItem*>(elementAt(index));
}
 
QCPPlottableLegendItem *QCPLegend::itemWithPlottable(const QCPAbstractPlottable *plottable) const
{
  for (int i=0; i<itemCount(); ++i)
  {
    if (QCPPlottableLegendItem *pli = qobject_cast<QCPPlottableLegendItem*>(item(i)))
    {
      if (pli->plottable() == plottable)
        return pli;
    }
  }
  return 0;
}
 
int QCPLegend::itemCount() const
{
  return elementCount();
}
 
bool QCPLegend::hasItem(QCPAbstractLegendItem *item) const
{
  for (int i=0; i<itemCount(); ++i)
  {
    if (item == this->item(i))
        return true;
  }
  return false;
}
 
bool QCPLegend::hasItemWithPlottable(const QCPAbstractPlottable *plottable) const
{
  return itemWithPlottable(plottable);
}
 
bool QCPLegend::addItem(QCPAbstractLegendItem *item)
{
  if (!hasItem(item))
  {
    return addElement(rowCount(), 0, item);
  } else
    return false;
}
 
bool QCPLegend::removeItem(int index)
{
  if (QCPAbstractLegendItem *ali = item(index))
  {
    bool success = remove(ali);
    simplify();
    return success;
  } else
    return false;
}
 
bool QCPLegend::removeItem(QCPAbstractLegendItem *item)
{
  bool success = remove(item);
  simplify();
  return success;
}
 
void QCPLegend::clearItems()
{
  for (int i=itemCount()-1; i>=0; --i)
    removeItem(i);
}
 
QList<QCPAbstractLegendItem *> QCPLegend::selectedItems() const
{
  QList<QCPAbstractLegendItem*> result;
  for (int i=0; i<itemCount(); ++i)
  {
    if (QCPAbstractLegendItem *ali = item(i))
    {
      if (ali->selected())
        result.append(ali);
    }
  }
  return result;
}
 
void QCPLegend::applyDefaultAntialiasingHint(QCPPainter *painter) const
{
  applyAntialiasingHint(painter, mAntialiased, QCP::aeLegend);
}
 
QPen QCPLegend::getBorderPen() const
{
  return mSelectedParts.testFlag(spLegendBox) ? mSelectedBorderPen : mBorderPen;
}
 
QBrush QCPLegend::getBrush() const
{
  return mSelectedParts.testFlag(spLegendBox) ? mSelectedBrush : mBrush;
}
 
void QCPLegend::draw(QCPPainter *painter)
{
  // draw background rect:
  painter->setBrush(getBrush());
  painter->setPen(getBorderPen());
  painter->drawRect(mOuterRect);
}
 
/* inherits documentation from base class */
double QCPLegend::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  if (!mParentPlot) return -1;
  if (onlySelectable && !mSelectableParts.testFlag(spLegendBox))
    return -1;
  
  if (mOuterRect.contains(pos.toPoint()))
  {
    if (details) details->setValue(spLegendBox);
    return mParentPlot->selectionTolerance()*0.99;
  }
  return -1;
}
 
/* inherits documentation from base class */
void QCPLegend::selectEvent(QMouseEvent *event, bool additive, const QVariant &details, bool *selectionStateChanged)
{
  Q_UNUSED(event)
  mSelectedParts = selectedParts(); // in case item selection has changed
  if (details.value<SelectablePart>() == spLegendBox && mSelectableParts.testFlag(spLegendBox))
  {
    SelectableParts selBefore = mSelectedParts;
    setSelectedParts(additive ? mSelectedParts^spLegendBox : mSelectedParts|spLegendBox); // no need to unset spItems in !additive case, because they will be deselected by QCustomPlot (they're normal QCPLayerables with own deselectEvent)
    if (selectionStateChanged)
      *selectionStateChanged = mSelectedParts != selBefore;
  }
}
 
/* inherits documentation from base class */
void QCPLegend::deselectEvent(bool *selectionStateChanged)
{
  mSelectedParts = selectedParts(); // in case item selection has changed
  if (mSelectableParts.testFlag(spLegendBox))
  {
    SelectableParts selBefore = mSelectedParts;
    setSelectedParts(selectedParts() & ~spLegendBox);
    if (selectionStateChanged)
      *selectionStateChanged = mSelectedParts != selBefore;
  }
}
 
/* inherits documentation from base class */
QCP::Interaction QCPLegend::selectionCategory() const
{
  return QCP::iSelectLegend;
}
 
/* inherits documentation from base class */
QCP::Interaction QCPAbstractLegendItem::selectionCategory() const
{
  return QCP::iSelectLegend;
}
 
/* inherits documentation from base class */
void QCPLegend::parentPlotInitialized(QCustomPlot *parentPlot)
{
  Q_UNUSED(parentPlot)
}
 
 
 
/* start documentation of signals */
 
/* end documentation of signals */
 
QCPPlotTitle::QCPPlotTitle(QCustomPlot *parentPlot) :
  QCPLayoutElement(parentPlot),
  mFont(QFont("sans serif", 13*1.5, QFont::Bold)),
  mTextColor(Qt::black),
  mSelectedFont(QFont("sans serif", 13*1.6, QFont::Bold)),
  mSelectedTextColor(Qt::blue),
  mSelectable(false),
  mSelected(false)
{
  if (parentPlot)
  {
    setLayer(parentPlot->currentLayer());
    mFont = QFont(parentPlot->font().family(), parentPlot->font().pointSize()*1.5, QFont::Bold);
    mSelectedFont = QFont(parentPlot->font().family(), parentPlot->font().pointSize()*1.6, QFont::Bold);
  }
  setMargins(QMargins(5, 5, 5, 0));
}
 
QCPPlotTitle::QCPPlotTitle(QCustomPlot *parentPlot, const QString &text) :
  QCPLayoutElement(parentPlot),
  mText(text),
  mFont(QFont(parentPlot->font().family(), parentPlot->font().pointSize()*1.5, QFont::Bold)),
  mTextColor(Qt::black),
  mSelectedFont(QFont(parentPlot->font().family(), parentPlot->font().pointSize()*1.6, QFont::Bold)),
  mSelectedTextColor(Qt::blue),
  mSelectable(false),
  mSelected(false)
{
  setLayer("axes");
  setMargins(QMargins(5, 5, 5, 0));
}
 
void QCPPlotTitle::setText(const QString &text)
{
  mText = text;
}
 
void QCPPlotTitle::setFont(const QFont &font)
{
  mFont = font;
}
 
void QCPPlotTitle::setTextColor(const QColor &color)
{
  mTextColor = color;
}
 
void QCPPlotTitle::setSelectedFont(const QFont &font)
{
  mSelectedFont = font;
}
 
void QCPPlotTitle::setSelectedTextColor(const QColor &color)
{
  mSelectedTextColor = color;
}
 
void QCPPlotTitle::setSelectable(bool selectable)
{
  if (mSelectable != selectable)
  {
    mSelectable = selectable;
    emit selectableChanged(mSelectable);
  }
}
 
void QCPPlotTitle::setSelected(bool selected)
{
  if (mSelected != selected)
  {
    mSelected = selected;
    emit selectionChanged(mSelected);
  }
}
 
/* inherits documentation from base class */
void QCPPlotTitle::applyDefaultAntialiasingHint(QCPPainter *painter) const
{
  applyAntialiasingHint(painter, mAntialiased, QCP::aeNone);
}
 
/* inherits documentation from base class */
void QCPPlotTitle::draw(QCPPainter *painter)
{
  painter->setFont(mainFont());
  painter->setPen(QPen(mainTextColor()));
  painter->drawText(mRect, Qt::AlignCenter, mText, &mTextBoundingRect);
}
 
/* inherits documentation from base class */
QSize QCPPlotTitle::minimumSizeHint() const
{
  QFontMetrics metrics(mFont);
  QSize result = metrics.boundingRect(0, 0, 0, 0, Qt::AlignCenter, mText).size();
  result.rwidth() += mMargins.left() + mMargins.right();
  result.rheight() += mMargins.top() + mMargins.bottom();
  return result;
}
 
/* inherits documentation from base class */
QSize QCPPlotTitle::maximumSizeHint() const
{
  QFontMetrics metrics(mFont);
  QSize result = metrics.boundingRect(0, 0, 0, 0, Qt::AlignCenter, mText).size();
  result.rheight() += mMargins.top() + mMargins.bottom();
  result.setWidth(QWIDGETSIZE_MAX);
  return result;
}
 
/* inherits documentation from base class */
void QCPPlotTitle::selectEvent(QMouseEvent *event, bool additive, const QVariant &details, bool *selectionStateChanged)
{
  Q_UNUSED(event)
  Q_UNUSED(details)
  if (mSelectable)
  {
    bool selBefore = mSelected;
    setSelected(additive ? !mSelected : true);
    if (selectionStateChanged)
      *selectionStateChanged = mSelected != selBefore;
  }
}
 
/* inherits documentation from base class */
void QCPPlotTitle::deselectEvent(bool *selectionStateChanged)
{
  if (mSelectable)
  {
    bool selBefore = mSelected;
    setSelected(false);
    if (selectionStateChanged)
      *selectionStateChanged = mSelected != selBefore;
  }
}
 
/* inherits documentation from base class */
double QCPPlotTitle::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  if (onlySelectable && !mSelectable)
    return -1;
  
  if (mTextBoundingRect.contains(pos.toPoint()))
    return mParentPlot->selectionTolerance()*0.99;
  else
    return -1;
}
 
QFont QCPPlotTitle::mainFont() const
{
  return mSelected ? mSelectedFont : mFont;
}
 
QColor QCPPlotTitle::mainTextColor() const
{
  return mSelected ? mSelectedTextColor : mTextColor;
}
 
 
 
/* start documentation of inline functions */
 
/* end documentation of signals */
/* start documentation of signals */
 
/* end documentation of signals */
 
QCPColorScale::QCPColorScale(QCustomPlot *parentPlot) :
  QCPLayoutElement(parentPlot),
  mType(QCPAxis::atTop), // set to atTop such that setType(QCPAxis::atRight) below doesn't skip work because it thinks it's already atRight
  mDataScaleType(QCPAxis::stLinear),
  mBarWidth(20),
  mAxisRect(new QCPColorScaleAxisRectPrivate(this))
{
  setMinimumMargins(QMargins(0, 6, 0, 6)); // for default right color scale types, keep some room at bottom and top (important if no margin group is used)
  setType(QCPAxis::atRight);
  setDataRange(QCPRange(0, 6));
}
 
QCPColorScale::~QCPColorScale()
{
  delete mAxisRect;
}
 
/* undocumented getter */
QString QCPColorScale::label() const
{
  if (!mColorAxis)
  {
    qDebug() << Q_FUNC_INFO << "internal color axis undefined";
    return QString();
  }
  
  return mColorAxis.data()->label();
}
 
/* undocumented getter */
bool QCPColorScale::rangeDrag() const
{
  if (!mAxisRect)
  {
    qDebug() << Q_FUNC_INFO << "internal axis rect was deleted";
    return false;
  }
  
  return mAxisRect.data()->rangeDrag().testFlag(QCPAxis::orientation(mType)) &&
      mAxisRect.data()->rangeDragAxis(QCPAxis::orientation(mType)) &&
      mAxisRect.data()->rangeDragAxis(QCPAxis::orientation(mType))->orientation() == QCPAxis::orientation(mType);
}
 
/* undocumented getter */
bool QCPColorScale::rangeZoom() const
{
  if (!mAxisRect)
  {
    qDebug() << Q_FUNC_INFO << "internal axis rect was deleted";
    return false;
  }
  
  return mAxisRect.data()->rangeZoom().testFlag(QCPAxis::orientation(mType)) &&
      mAxisRect.data()->rangeZoomAxis(QCPAxis::orientation(mType)) &&
      mAxisRect.data()->rangeZoomAxis(QCPAxis::orientation(mType))->orientation() == QCPAxis::orientation(mType);
}
 
void QCPColorScale::setType(QCPAxis::AxisType type)
{
  if (!mAxisRect)
  {
    qDebug() << Q_FUNC_INFO << "internal axis rect was deleted";
    return;
  }
  if (mType != type)
  {
    mType = type;
    QCPRange rangeTransfer(0, 6);
    double logBaseTransfer = 10;
    QString labelTransfer;
    // revert some settings on old axis:
    if (mColorAxis)
    {
      rangeTransfer = mColorAxis.data()->range();
      labelTransfer = mColorAxis.data()->label();
      logBaseTransfer = mColorAxis.data()->scaleLogBase();
      mColorAxis.data()->setLabel("");
      disconnect(mColorAxis.data(), SIGNAL(rangeChanged(QCPRange)), this, SLOT(setDataRange(QCPRange)));
      disconnect(mColorAxis.data(), SIGNAL(scaleTypeChanged(QCPAxis::ScaleType)), this, SLOT(setDataScaleType(QCPAxis::ScaleType)));
    }
    foreach (QCPAxis::AxisType atype, QList<QCPAxis::AxisType>() << QCPAxis::atLeft << QCPAxis::atRight << QCPAxis::atBottom << QCPAxis::atTop)
    {
      mAxisRect.data()->axis(atype)->setTicks(atype == mType);
      mAxisRect.data()->axis(atype)->setTickLabels(atype== mType);
    }
    // set new mColorAxis pointer:
    mColorAxis = mAxisRect.data()->axis(mType);
    // transfer settings to new axis:
    mColorAxis.data()->setRange(rangeTransfer); // transfer range of old axis to new one (necessary if axis changes from vertical to horizontal or vice versa)
    mColorAxis.data()->setLabel(labelTransfer);
    mColorAxis.data()->setScaleLogBase(logBaseTransfer); // scaleType is synchronized among axes in realtime via signals (connected in QCPColorScale ctor), so we only need to take care of log base here
    connect(mColorAxis.data(), SIGNAL(rangeChanged(QCPRange)), this, SLOT(setDataRange(QCPRange)));
    connect(mColorAxis.data(), SIGNAL(scaleTypeChanged(QCPAxis::ScaleType)), this, SLOT(setDataScaleType(QCPAxis::ScaleType)));
    mAxisRect.data()->setRangeDragAxes(QCPAxis::orientation(mType) == Qt::Horizontal ? mColorAxis.data() : 0,
                                       QCPAxis::orientation(mType) == Qt::Vertical ? mColorAxis.data() : 0);
  }
}
 
void QCPColorScale::setDataRange(const QCPRange &dataRange)
{
  if (mDataRange.lower != dataRange.lower || mDataRange.upper != dataRange.upper)
  {
    mDataRange = dataRange;
    if (mColorAxis)
      mColorAxis.data()->setRange(mDataRange);
    emit dataRangeChanged(mDataRange);
  }
}
 
void QCPColorScale::setDataScaleType(QCPAxis::ScaleType scaleType)
{
  if (mDataScaleType != scaleType)
  {
    mDataScaleType = scaleType;
    if (mColorAxis)
      mColorAxis.data()->setScaleType(mDataScaleType);
    if (mDataScaleType == QCPAxis::stLogarithmic)
      setDataRange(mDataRange.sanitizedForLogScale());
    emit dataScaleTypeChanged(mDataScaleType);
  }
}
 
void QCPColorScale::setGradient(const QCPColorGradient &gradient)
{
  if (mGradient != gradient)
  {
    mGradient = gradient;
    if (mAxisRect)
      mAxisRect.data()->mGradientImageInvalidated = true;
    emit gradientChanged(mGradient);
  }
}
 
void QCPColorScale::setLabel(const QString &str)
{
  if (!mColorAxis)
  {
    qDebug() << Q_FUNC_INFO << "internal color axis undefined";
    return;
  }
  
  mColorAxis.data()->setLabel(str);
}
 
void QCPColorScale::setBarWidth(int width)
{
  mBarWidth = width;
}
 
void QCPColorScale::setRangeDrag(bool enabled)
{
  if (!mAxisRect)
  {
    qDebug() << Q_FUNC_INFO << "internal axis rect was deleted";
    return;
  }
  
  if (enabled)
    mAxisRect.data()->setRangeDrag(QCPAxis::orientation(mType));
  else
    mAxisRect.data()->setRangeDrag(0);
}
 
void QCPColorScale::setRangeZoom(bool enabled)
{
  if (!mAxisRect)
  {
    qDebug() << Q_FUNC_INFO << "internal axis rect was deleted";
    return;
  }
  
  if (enabled)
    mAxisRect.data()->setRangeZoom(QCPAxis::orientation(mType));
  else
    mAxisRect.data()->setRangeZoom(0);
}
 
QList<QCPColorMap*> QCPColorScale::colorMaps() const
{
  QList<QCPColorMap*> result;
  for (int i=0; i<mParentPlot->plottableCount(); ++i)
  {
    if (QCPColorMap *cm = qobject_cast<QCPColorMap*>(mParentPlot->plottable(i)))
      if (cm->colorScale() == this)
        result.append(cm);
  }
  return result;
}
 
void QCPColorScale::rescaleDataRange(bool onlyVisibleMaps)
{
  QList<QCPColorMap*> maps = colorMaps();
  QCPRange newRange;
  bool haveRange = false;
  int sign = 0; // TODO: should change this to QCPAbstractPlottable::SignDomain later (currently is protected, maybe move to QCP namespace)
  if (mDataScaleType == QCPAxis::stLogarithmic)
    sign = (mDataRange.upper < 0 ? -1 : 1);
  for (int i=0; i<maps.size(); ++i)
  {
    if (!maps.at(i)->realVisibility() && onlyVisibleMaps)
      continue;
    QCPRange mapRange;
    if (maps.at(i)->colorScale() == this)
    {
      bool currentFoundRange = true;
      mapRange = maps.at(i)->data()->dataBounds();
      if (sign == 1)
      {
        if (mapRange.lower <= 0 && mapRange.upper > 0)
          mapRange.lower = mapRange.upper*1e-3;
        else if (mapRange.lower <= 0 && mapRange.upper <= 0)
          currentFoundRange = false;
      } else if (sign == -1)
      {
        if (mapRange.upper >= 0 && mapRange.lower < 0)
          mapRange.upper = mapRange.lower*1e-3;
        else if (mapRange.upper >= 0 && mapRange.lower >= 0)
          currentFoundRange = false;
      }
      if (currentFoundRange)
      {
        if (!haveRange)
          newRange = mapRange;
        else
          newRange.expand(mapRange);
        haveRange = true;
      }
    }
  }
  if (haveRange)
  {
    if (!QCPRange::validRange(newRange)) // likely due to range being zero (plottable has only constant data in this dimension), shift current range to at least center the data
    {
      double center = (newRange.lower+newRange.upper)*0.5; // upper and lower should be equal anyway, but just to make sure, incase validRange returned false for other reason
      if (mDataScaleType == QCPAxis::stLinear)
      {
        newRange.lower = center-mDataRange.size()/2.0;
        newRange.upper = center+mDataRange.size()/2.0;
      } else // mScaleType == stLogarithmic
      {
        newRange.lower = center/qSqrt(mDataRange.upper/mDataRange.lower);
        newRange.upper = center*qSqrt(mDataRange.upper/mDataRange.lower);
      }
    }
    setDataRange(newRange);
  }
}
 
/* inherits documentation from base class */
void QCPColorScale::update(UpdatePhase phase)
{
  QCPLayoutElement::update(phase);
  if (!mAxisRect)
  {
    qDebug() << Q_FUNC_INFO << "internal axis rect was deleted";
    return;
  }
  
  mAxisRect.data()->update(phase);
  
  switch (phase)
  {
    case upMargins:
    {
      if (mType == QCPAxis::atBottom || mType == QCPAxis::atTop)
      {
        setMaximumSize(QWIDGETSIZE_MAX, mBarWidth+mAxisRect.data()->margins().top()+mAxisRect.data()->margins().bottom()+margins().top()+margins().bottom());
        setMinimumSize(0,               mBarWidth+mAxisRect.data()->margins().top()+mAxisRect.data()->margins().bottom()+margins().top()+margins().bottom());
      } else
      {
        setMaximumSize(mBarWidth+mAxisRect.data()->margins().left()+mAxisRect.data()->margins().right()+margins().left()+margins().right(), QWIDGETSIZE_MAX);
        setMinimumSize(mBarWidth+mAxisRect.data()->margins().left()+mAxisRect.data()->margins().right()+margins().left()+margins().right(), 0);
      }
      break;
    }
    case upLayout:
    {
      mAxisRect.data()->setOuterRect(rect());
      break;
    }
    default: break;
  }
}
 
/* inherits documentation from base class */
void QCPColorScale::applyDefaultAntialiasingHint(QCPPainter *painter) const
{
  painter->setAntialiasing(false);
}
 
/* inherits documentation from base class */
void QCPColorScale::mousePressEvent(QMouseEvent *event)
{
  if (!mAxisRect)
  {
    qDebug() << Q_FUNC_INFO << "internal axis rect was deleted";
    return;
  }
  mAxisRect.data()->mousePressEvent(event);
}
 
/* inherits documentation from base class */
void QCPColorScale::mouseMoveEvent(QMouseEvent *event)
{
  if (!mAxisRect)
  {
    qDebug() << Q_FUNC_INFO << "internal axis rect was deleted";
    return;
  }
  mAxisRect.data()->mouseMoveEvent(event);
}
 
/* inherits documentation from base class */
void QCPColorScale::mouseReleaseEvent(QMouseEvent *event)
{
  if (!mAxisRect)
  {
    qDebug() << Q_FUNC_INFO << "internal axis rect was deleted";
    return;
  }
  mAxisRect.data()->mouseReleaseEvent(event);
}
 
/* inherits documentation from base class */
void QCPColorScale::wheelEvent(QWheelEvent *event)
{
  if (!mAxisRect)
  {
    qDebug() << Q_FUNC_INFO << "internal axis rect was deleted";
    return;
  }
  mAxisRect.data()->wheelEvent(event);
}
 
 
QCPColorScaleAxisRectPrivate::QCPColorScaleAxisRectPrivate(QCPColorScale *parentColorScale) :
  QCPAxisRect(parentColorScale->parentPlot(), true),
  mParentColorScale(parentColorScale),
  mGradientImageInvalidated(true)
{
  setParentLayerable(parentColorScale);
  setMinimumMargins(QMargins(0, 0, 0, 0));
  foreach (QCPAxis::AxisType type, QList<QCPAxis::AxisType>() << QCPAxis::atBottom << QCPAxis::atTop << QCPAxis::atLeft << QCPAxis::atRight)
  {
    axis(type)->setVisible(true);
    axis(type)->grid()->setVisible(false);
    axis(type)->setPadding(0);
    connect(axis(type), SIGNAL(selectionChanged(QCPAxis::SelectableParts)), this, SLOT(axisSelectionChanged(QCPAxis::SelectableParts)));
    connect(axis(type), SIGNAL(selectableChanged(QCPAxis::SelectableParts)), this, SLOT(axisSelectableChanged(QCPAxis::SelectableParts)));
  }
 
  connect(axis(QCPAxis::atLeft), SIGNAL(rangeChanged(QCPRange)), axis(QCPAxis::atRight), SLOT(setRange(QCPRange)));
  connect(axis(QCPAxis::atRight), SIGNAL(rangeChanged(QCPRange)), axis(QCPAxis::atLeft), SLOT(setRange(QCPRange)));
  connect(axis(QCPAxis::atBottom), SIGNAL(rangeChanged(QCPRange)), axis(QCPAxis::atTop), SLOT(setRange(QCPRange)));
  connect(axis(QCPAxis::atTop), SIGNAL(rangeChanged(QCPRange)), axis(QCPAxis::atBottom), SLOT(setRange(QCPRange)));
  connect(axis(QCPAxis::atLeft), SIGNAL(scaleTypeChanged(QCPAxis::ScaleType)), axis(QCPAxis::atRight), SLOT(setScaleType(QCPAxis::ScaleType)));
  connect(axis(QCPAxis::atRight), SIGNAL(scaleTypeChanged(QCPAxis::ScaleType)), axis(QCPAxis::atLeft), SLOT(setScaleType(QCPAxis::ScaleType)));
  connect(axis(QCPAxis::atBottom), SIGNAL(scaleTypeChanged(QCPAxis::ScaleType)), axis(QCPAxis::atTop), SLOT(setScaleType(QCPAxis::ScaleType)));
  connect(axis(QCPAxis::atTop), SIGNAL(scaleTypeChanged(QCPAxis::ScaleType)), axis(QCPAxis::atBottom), SLOT(setScaleType(QCPAxis::ScaleType)));
  
  // make layer transfers of color scale transfer to axis rect and axes
  // the axes must be set after axis rect, such that they appear above color gradient drawn by axis rect:
  connect(parentColorScale, SIGNAL(layerChanged(QCPLayer*)), this, SLOT(setLayer(QCPLayer*)));
  foreach (QCPAxis::AxisType type, QList<QCPAxis::AxisType>() << QCPAxis::atBottom << QCPAxis::atTop << QCPAxis::atLeft << QCPAxis::atRight)
    connect(parentColorScale, SIGNAL(layerChanged(QCPLayer*)), axis(type), SLOT(setLayer(QCPLayer*)));
}
 
void QCPColorScaleAxisRectPrivate::draw(QCPPainter *painter)
{
  if (mGradientImageInvalidated)
    updateGradientImage();
  
  bool mirrorHorz = false;
  bool mirrorVert = false;
  if (mParentColorScale->mColorAxis)
  {
    mirrorHorz = mParentColorScale->mColorAxis.data()->rangeReversed() && (mParentColorScale->type() == QCPAxis::atBottom || mParentColorScale->type() == QCPAxis::atTop);
    mirrorVert = mParentColorScale->mColorAxis.data()->rangeReversed() && (mParentColorScale->type() == QCPAxis::atLeft || mParentColorScale->type() == QCPAxis::atRight);
  }
  
  painter->drawImage(rect(), mGradientImage.mirrored(mirrorHorz, mirrorVert));
  QCPAxisRect::draw(painter);
}
 
void QCPColorScaleAxisRectPrivate::updateGradientImage()
{
  if (rect().isEmpty())
    return;
  
  int n = mParentColorScale->mGradient.levelCount();
  int w, h;
  QVector<double> data(n);
  for (int i=0; i<n; ++i)
    data[i] = i;
  if (mParentColorScale->mType == QCPAxis::atBottom || mParentColorScale->mType == QCPAxis::atTop)
  {
    w = n;
    h = rect().height();
    mGradientImage = QImage(w, h, QImage::Format_RGB32);
    QVector<QRgb*> pixels;
    for (int y=0; y<h; ++y)
      pixels.append(reinterpret_cast<QRgb*>(mGradientImage.scanLine(y)));
    mParentColorScale->mGradient.colorize(data.constData(), QCPRange(0, n-1), pixels.first(), n);
    for (int y=1; y<h; ++y)
      memcpy(pixels.at(y), pixels.first(), n*sizeof(QRgb));
  } else
  {
    w = rect().width();
    h = n;
    mGradientImage = QImage(w, h, QImage::Format_RGB32);
    for (int y=0; y<h; ++y)
    {
      QRgb *pixels = reinterpret_cast<QRgb*>(mGradientImage.scanLine(y));
      const QRgb lineColor = mParentColorScale->mGradient.color(data[h-1-y], QCPRange(0, n-1));
      for (int x=0; x<w; ++x)
        pixels[x] = lineColor;
    }
  }
  mGradientImageInvalidated = false;
}
 
void QCPColorScaleAxisRectPrivate::axisSelectionChanged(QCPAxis::SelectableParts selectedParts)
{
  // axis bases of four axes shall always (de-)selected synchronously:
  foreach (QCPAxis::AxisType type, QList<QCPAxis::AxisType>() << QCPAxis::atBottom << QCPAxis::atTop << QCPAxis::atLeft << QCPAxis::atRight)
  {
    if (QCPAxis *senderAxis = qobject_cast<QCPAxis*>(sender()))
      if (senderAxis->axisType() == type)
        continue;
    
    if (axis(type)->selectableParts().testFlag(QCPAxis::spAxis))
    {
      if (selectedParts.testFlag(QCPAxis::spAxis))
        axis(type)->setSelectedParts(axis(type)->selectedParts() | QCPAxis::spAxis);
      else
        axis(type)->setSelectedParts(axis(type)->selectedParts() & ~QCPAxis::spAxis);
    }
  }
}
 
void QCPColorScaleAxisRectPrivate::axisSelectableChanged(QCPAxis::SelectableParts selectableParts)
{
  // synchronize axis base selectability:
  foreach (QCPAxis::AxisType type, QList<QCPAxis::AxisType>() << QCPAxis::atBottom << QCPAxis::atTop << QCPAxis::atLeft << QCPAxis::atRight)
  {
    if (QCPAxis *senderAxis = qobject_cast<QCPAxis*>(sender()))
      if (senderAxis->axisType() == type)
        continue;
    
    if (axis(type)->selectableParts().testFlag(QCPAxis::spAxis))
    {
      if (selectableParts.testFlag(QCPAxis::spAxis))
        axis(type)->setSelectableParts(axis(type)->selectableParts() | QCPAxis::spAxis);
      else
        axis(type)->setSelectableParts(axis(type)->selectableParts() & ~QCPAxis::spAxis);
    }
  }
}
 
 
 
QCPData::QCPData() :
  key(0),
  value(0),
  keyErrorPlus(0),
  keyErrorMinus(0),
  valueErrorPlus(0),
  valueErrorMinus(0)
{
}
 
QCPData::QCPData(double key, double value) :
  key(key),
  value(value),
  keyErrorPlus(0),
  keyErrorMinus(0),
  valueErrorPlus(0),
  valueErrorMinus(0)
{
}
 
 
 
/* start of documentation of inline functions */
 
/* end of documentation of inline functions */
 
QCPGraph::QCPGraph(QCPAxis *keyAxis, QCPAxis *valueAxis) :
  QCPAbstractPlottable(keyAxis, valueAxis)
{
  mData = new QCPDataMap;
  
  setPen(QPen(Qt::blue, 0));
  setErrorPen(QPen(Qt::black));
  setBrush(Qt::NoBrush);
  setSelectedPen(QPen(QColor(80, 80, 255), 2.5));
  setSelectedBrush(Qt::NoBrush);
  
  setLineStyle(lsLine);
  setErrorType(etNone);
  setErrorBarSize(6);
  setErrorBarSkipSymbol(true);
  setChannelFillGraph(0);
  setAdaptiveSampling(true);
}
 
QCPGraph::~QCPGraph()
{
  delete mData;
}
 
void QCPGraph::setData(QCPDataMap *data, bool copy)
{
  if (copy)
  {
    *mData = *data;
  } else
  {
    delete mData;
    mData = data;
  }
}
 
void QCPGraph::setData(const QVector<double> &key, const QVector<double> &value)
{
  mData->clear();
  int n = key.size();
  n = qMin(n, value.size());
  QCPData newData;
  for (int i=0; i<n; ++i)
  {
    newData.key = key[i];
    newData.value = value[i];
    mData->insertMulti(newData.key, newData);
  }
}
 
void QCPGraph::setDataValueError(const QVector<double> &key, const QVector<double> &value, const QVector<double> &valueError)
{
  mData->clear();
  int n = key.size();
  n = qMin(n, value.size());
  n = qMin(n, valueError.size());
  QCPData newData;
  for (int i=0; i<n; ++i)
  {
    newData.key = key[i];
    newData.value = value[i];
    newData.valueErrorMinus = valueError[i];
    newData.valueErrorPlus = valueError[i];
    mData->insertMulti(key[i], newData);
  }
}
 
void QCPGraph::setDataValueError(const QVector<double> &key, const QVector<double> &value, const QVector<double> &valueErrorMinus, const QVector<double> &valueErrorPlus)
{
  mData->clear();
  int n = key.size();
  n = qMin(n, value.size());
  n = qMin(n, valueErrorMinus.size());
  n = qMin(n, valueErrorPlus.size());
  QCPData newData;
  for (int i=0; i<n; ++i)
  {
    newData.key = key[i];
    newData.value = value[i];
    newData.valueErrorMinus = valueErrorMinus[i];
    newData.valueErrorPlus = valueErrorPlus[i];
    mData->insertMulti(key[i], newData);
  }
}
 
void QCPGraph::setDataKeyError(const QVector<double> &key, const QVector<double> &value, const QVector<double> &keyError)
{
  mData->clear();
  int n = key.size();
  n = qMin(n, value.size());
  n = qMin(n, keyError.size());
  QCPData newData;
  for (int i=0; i<n; ++i)
  {
    newData.key = key[i];
    newData.value = value[i];
    newData.keyErrorMinus = keyError[i];
    newData.keyErrorPlus = keyError[i];
    mData->insertMulti(key[i], newData);
  }
}
 
void QCPGraph::setDataKeyError(const QVector<double> &key, const QVector<double> &value, const QVector<double> &keyErrorMinus, const QVector<double> &keyErrorPlus)
{
  mData->clear();
  int n = key.size();
  n = qMin(n, value.size());
  n = qMin(n, keyErrorMinus.size());
  n = qMin(n, keyErrorPlus.size());
  QCPData newData;
  for (int i=0; i<n; ++i)
  {
    newData.key = key[i];
    newData.value = value[i];
    newData.keyErrorMinus = keyErrorMinus[i];
    newData.keyErrorPlus = keyErrorPlus[i];
    mData->insertMulti(key[i], newData);
  }
}
 
void QCPGraph::setDataBothError(const QVector<double> &key, const QVector<double> &value, const QVector<double> &keyError, const QVector<double> &valueError)
{
  mData->clear();
  int n = key.size();
  n = qMin(n, value.size());
  n = qMin(n, valueError.size());
  n = qMin(n, keyError.size());
  QCPData newData;
  for (int i=0; i<n; ++i)
  {
    newData.key = key[i];
    newData.value = value[i];
    newData.keyErrorMinus = keyError[i];
    newData.keyErrorPlus = keyError[i];
    newData.valueErrorMinus = valueError[i];
    newData.valueErrorPlus = valueError[i];
    mData->insertMulti(key[i], newData);
  }
}
 
void QCPGraph::setDataBothError(const QVector<double> &key, const QVector<double> &value, const QVector<double> &keyErrorMinus, const QVector<double> &keyErrorPlus, const QVector<double> &valueErrorMinus, const QVector<double> &valueErrorPlus)
{
  mData->clear();
  int n = key.size();
  n = qMin(n, value.size());
  n = qMin(n, valueErrorMinus.size());
  n = qMin(n, valueErrorPlus.size());
  n = qMin(n, keyErrorMinus.size());
  n = qMin(n, keyErrorPlus.size());
  QCPData newData;
  for (int i=0; i<n; ++i)
  {
    newData.key = key[i];
    newData.value = value[i];
    newData.keyErrorMinus = keyErrorMinus[i];
    newData.keyErrorPlus = keyErrorPlus[i];
    newData.valueErrorMinus = valueErrorMinus[i];
    newData.valueErrorPlus = valueErrorPlus[i];
    mData->insertMulti(key[i], newData);
  }
}
 
 
void QCPGraph::setLineStyle(LineStyle ls)
{
  mLineStyle = ls;
}
 
void QCPGraph::setScatterStyle(const QCPScatterStyle &style)
{
  mScatterStyle = style;
}
 
void QCPGraph::setErrorType(ErrorType errorType)
{
  mErrorType = errorType;
}
 
void QCPGraph::setErrorPen(const QPen &pen)
{
  mErrorPen = pen;
}
 
void QCPGraph::setErrorBarSize(double size)
{
  mErrorBarSize = size;
}
 
void QCPGraph::setErrorBarSkipSymbol(bool enabled)
{
  mErrorBarSkipSymbol = enabled;
}
 
void QCPGraph::setChannelFillGraph(QCPGraph *targetGraph)
{
  // prevent setting channel target to this graph itself:
  if (targetGraph == this)
  {
    qDebug() << Q_FUNC_INFO << "targetGraph is this graph itself";
    mChannelFillGraph = 0;
    return;
  }
  // prevent setting channel target to a graph not in the plot:
  if (targetGraph && targetGraph->mParentPlot != mParentPlot)
  {
    qDebug() << Q_FUNC_INFO << "targetGraph not in same plot";
    mChannelFillGraph = 0;
    return;
  }
  
  mChannelFillGraph = targetGraph;
}
 
void QCPGraph::setAdaptiveSampling(bool enabled)
{
  mAdaptiveSampling = enabled;
}
 
void QCPGraph::addData(const QCPDataMap &dataMap)
{
  mData->unite(dataMap);
}
 
void QCPGraph::addData(const QCPData &data)
{
  mData->insertMulti(data.key, data);
}
 
void QCPGraph::addData(double key, double value)
{
  QCPData newData;
  newData.key = key;
  newData.value = value;
  mData->insertMulti(newData.key, newData);
}
 
void QCPGraph::addData(const QVector<double> &keys, const QVector<double> &values)
{
  int n = qMin(keys.size(), values.size());
  QCPData newData;
  for (int i=0; i<n; ++i)
  {
    newData.key = keys[i];
    newData.value = values[i];
    mData->insertMulti(newData.key, newData);
  }
}
 
void QCPGraph::removeDataBefore(double key)
{
  QCPDataMap::iterator it = mData->begin();
  while (it != mData->end() && it.key() < key)
    it = mData->erase(it);
}
 
void QCPGraph::removeDataAfter(double key)
{
  if (mData->isEmpty()) return;
  QCPDataMap::iterator it = mData->upperBound(key);
  while (it != mData->end())
    it = mData->erase(it);
}
 
void QCPGraph::removeData(double fromKey, double toKey)
{
  if (fromKey >= toKey || mData->isEmpty()) return;
  QCPDataMap::iterator it = mData->upperBound(fromKey);
  QCPDataMap::iterator itEnd = mData->upperBound(toKey);
  while (it != itEnd)
    it = mData->erase(it);
}
 
void QCPGraph::removeData(double key)
{
  mData->remove(key);
}
 
void QCPGraph::clearData()
{
  mData->clear();
}
 
/* inherits documentation from base class */
double QCPGraph::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  if ((onlySelectable && !mSelectable) || mData->isEmpty())
    return -1;
  if (!mKeyAxis || !mValueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return -1; }
  
  if (mKeyAxis.data()->axisRect()->rect().contains(pos.toPoint()))
    return pointDistance(pos);
  else
    return -1;
}
 
void QCPGraph::rescaleAxes(bool onlyEnlarge, bool includeErrorBars) const
{
  rescaleKeyAxis(onlyEnlarge, includeErrorBars);
  rescaleValueAxis(onlyEnlarge, includeErrorBars);
}
 
void QCPGraph::rescaleKeyAxis(bool onlyEnlarge, bool includeErrorBars) const
{
  // this code is a copy of QCPAbstractPlottable::rescaleKeyAxis with the only change
  // that getKeyRange is passed the includeErrorBars value.
  if (mData->isEmpty()) return;
  
  QCPAxis *keyAxis = mKeyAxis.data();
  if (!keyAxis) { qDebug() << Q_FUNC_INFO << "invalid key axis"; return; }
 
  SignDomain signDomain = sdBoth;
  if (keyAxis->scaleType() == QCPAxis::stLogarithmic)
    signDomain = (keyAxis->range().upper < 0 ? sdNegative : sdPositive);
  
  bool foundRange;
  QCPRange newRange = getKeyRange(foundRange, signDomain, includeErrorBars);
  
  if (foundRange)
  {
    if (onlyEnlarge)
    {
      if (keyAxis->range().lower < newRange.lower)
        newRange.lower = keyAxis->range().lower;
      if (keyAxis->range().upper > newRange.upper)
        newRange.upper = keyAxis->range().upper;
    }
    keyAxis->setRange(newRange);
  }
}
 
void QCPGraph::rescaleValueAxis(bool onlyEnlarge, bool includeErrorBars) const
{
  // this code is a copy of QCPAbstractPlottable::rescaleValueAxis with the only change
  // is that getValueRange is passed the includeErrorBars value.
  if (mData->isEmpty()) return;
  
  QCPAxis *valueAxis = mValueAxis.data();
  if (!valueAxis) { qDebug() << Q_FUNC_INFO << "invalid value axis"; return; }
 
  SignDomain signDomain = sdBoth;
  if (valueAxis->scaleType() == QCPAxis::stLogarithmic)
    signDomain = (valueAxis->range().upper < 0 ? sdNegative : sdPositive);
  
  bool foundRange;
  QCPRange newRange = getValueRange(foundRange, signDomain, includeErrorBars);
  
  if (foundRange)
  {
    if (onlyEnlarge)
    {
      if (valueAxis->range().lower < newRange.lower)
        newRange.lower = valueAxis->range().lower;
      if (valueAxis->range().upper > newRange.upper)
        newRange.upper = valueAxis->range().upper;
    }
    valueAxis->setRange(newRange);
  }
}
 
/* inherits documentation from base class */
void QCPGraph::draw(QCPPainter *painter)
{
  if (!mKeyAxis || !mValueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return; }
  if (mKeyAxis.data()->range().size() <= 0 || mData->isEmpty()) return;
  if (mLineStyle == lsNone && mScatterStyle.isNone()) return;
  
  // allocate line and (if necessary) point vectors:
  QVector<QPointF> *lineData = new QVector<QPointF>;
  QVector<QCPData> *scatterData = 0;
  if (!mScatterStyle.isNone())
    scatterData = new QVector<QCPData>;
  
  // fill vectors with data appropriate to plot style:
  getPlotData(lineData, scatterData);
  
  // check data validity if flag set:
#ifdef QCUSTOMPLOT_CHECK_DATA
  QCPDataMap::const_iterator it;
  for (it = mData->constBegin(); it != mData->constEnd(); ++it)
  {
    if (QCP::isInvalidData(it.value().key, it.value().value) ||
        QCP::isInvalidData(it.value().keyErrorPlus, it.value().keyErrorMinus) ||
        QCP::isInvalidData(it.value().valueErrorPlus, it.value().valueErrorPlus))
      qDebug() << Q_FUNC_INFO << "Data point at" << it.key() << "invalid." << "Plottable name:" << name();
  }
#endif
 
  // draw fill of graph:
  drawFill(painter, lineData);
  
  // draw line:
  if (mLineStyle == lsImpulse)
    drawImpulsePlot(painter, lineData);
  else if (mLineStyle != lsNone)
    drawLinePlot(painter, lineData); // also step plots can be drawn as a line plot
  
  // draw scatters:
  if (scatterData)
    drawScatterPlot(painter, scatterData);
  
  // free allocated line and point vectors:
  delete lineData;
  if (scatterData)
    delete scatterData;
}
 
/* inherits documentation from base class */
void QCPGraph::drawLegendIcon(QCPPainter *painter, const QRectF &rect) const
{
  // draw fill:
  if (mBrush.style() != Qt::NoBrush)
  {
    applyFillAntialiasingHint(painter);
    painter->fillRect(QRectF(rect.left(), rect.top()+rect.height()/2.0, rect.width(), rect.height()/3.0), mBrush);
  }
  // draw line vertically centered:
  if (mLineStyle != lsNone)
  {
    applyDefaultAntialiasingHint(painter);
    painter->setPen(mPen);
    painter->drawLine(QLineF(rect.left(), rect.top()+rect.height()/2.0, rect.right()+5, rect.top()+rect.height()/2.0)); // +5 on x2 else last segment is missing from dashed/dotted pens
  }
  // draw scatter symbol:
  if (!mScatterStyle.isNone())
  {
    applyScattersAntialiasingHint(painter);
    // scale scatter pixmap if it's too large to fit in legend icon rect:
    if (mScatterStyle.shape() == QCPScatterStyle::ssPixmap && (mScatterStyle.pixmap().size().width() > rect.width() || mScatterStyle.pixmap().size().height() > rect.height()))
    {
      QCPScatterStyle scaledStyle(mScatterStyle);
      scaledStyle.setPixmap(scaledStyle.pixmap().scaled(rect.size().toSize(), Qt::KeepAspectRatio, Qt::SmoothTransformation));
      scaledStyle.applyTo(painter, mPen);
      scaledStyle.drawShape(painter, QRectF(rect).center());
    } else
    {
      mScatterStyle.applyTo(painter, mPen);
      mScatterStyle.drawShape(painter, QRectF(rect).center());
    }
  }
}
 
void QCPGraph::getPlotData(QVector<QPointF> *lineData, QVector<QCPData> *scatterData) const
{
  switch(mLineStyle)
  {
    case lsNone: getScatterPlotData(scatterData); break;
    case lsLine: getLinePlotData(lineData, scatterData); break;
    case lsStepLeft: getStepLeftPlotData(lineData, scatterData); break;
    case lsStepRight: getStepRightPlotData(lineData, scatterData); break;
    case lsStepCenter: getStepCenterPlotData(lineData, scatterData); break;
    case lsImpulse: getImpulsePlotData(lineData, scatterData); break;
  }
}
 
void QCPGraph::getScatterPlotData(QVector<QCPData> *scatterData) const
{
  getPreparedData(0, scatterData);
}
 
void QCPGraph::getLinePlotData(QVector<QPointF> *linePixelData, QVector<QCPData> *scatterData) const
{
  QCPAxis *keyAxis = mKeyAxis.data();
  QCPAxis *valueAxis = mValueAxis.data();
  if (!keyAxis || !valueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return; }
  if (!linePixelData) { qDebug() << Q_FUNC_INFO << "null pointer passed as linePixelData"; return; }
  
  QVector<QCPData> lineData;
  getPreparedData(&lineData, scatterData);
  linePixelData->reserve(lineData.size()+2); // added 2 to reserve memory for lower/upper fill base points that might be needed for fill
  linePixelData->resize(lineData.size());
  
  // transform lineData points to pixels:
  if (keyAxis->orientation() == Qt::Vertical)
  {
    for (int i=0; i<lineData.size(); ++i)
    {
      (*linePixelData)[i].setX(valueAxis->coordToPixel(lineData.at(i).value));
      (*linePixelData)[i].setY(keyAxis->coordToPixel(lineData.at(i).key));
    }
  } else // key axis is horizontal
  {
    for (int i=0; i<lineData.size(); ++i)
    {
      (*linePixelData)[i].setX(keyAxis->coordToPixel(lineData.at(i).key));
      (*linePixelData)[i].setY(valueAxis->coordToPixel(lineData.at(i).value));
    }
  }
}
 
void QCPGraph::getStepLeftPlotData(QVector<QPointF> *linePixelData, QVector<QCPData> *scatterData) const
{
  QCPAxis *keyAxis = mKeyAxis.data();
  QCPAxis *valueAxis = mValueAxis.data();
  if (!keyAxis || !valueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return; }
  if (!linePixelData) { qDebug() << Q_FUNC_INFO << "null pointer passed as lineData"; return; }
  
  QVector<QCPData> lineData;
  getPreparedData(&lineData, scatterData);
  linePixelData->reserve(lineData.size()*2+2); // added 2 to reserve memory for lower/upper fill base points that might be needed for fill
  linePixelData->resize(lineData.size()*2);
  
  // calculate steps from lineData and transform to pixel coordinates:
  if (keyAxis->orientation() == Qt::Vertical)
  {
    double lastValue = valueAxis->coordToPixel(lineData.first().value);
    double key;
    for (int i=0; i<lineData.size(); ++i)
    {
      key = keyAxis->coordToPixel(lineData.at(i).key);
      (*linePixelData)[i*2+0].setX(lastValue);
      (*linePixelData)[i*2+0].setY(key);
      lastValue = valueAxis->coordToPixel(lineData.at(i).value);
      (*linePixelData)[i*2+1].setX(lastValue);
      (*linePixelData)[i*2+1].setY(key);
    }
  } else // key axis is horizontal
  {
    double lastValue = valueAxis->coordToPixel(lineData.first().value);
    double key;
    for (int i=0; i<lineData.size(); ++i)
    {
      key = keyAxis->coordToPixel(lineData.at(i).key);
      (*linePixelData)[i*2+0].setX(key);
      (*linePixelData)[i*2+0].setY(lastValue);
      lastValue = valueAxis->coordToPixel(lineData.at(i).value);
      (*linePixelData)[i*2+1].setX(key);
      (*linePixelData)[i*2+1].setY(lastValue);
    }
  }
}
 
void QCPGraph::getStepRightPlotData(QVector<QPointF> *linePixelData, QVector<QCPData> *scatterData) const
{
  QCPAxis *keyAxis = mKeyAxis.data();
  QCPAxis *valueAxis = mValueAxis.data();
  if (!keyAxis || !valueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return; }
  if (!linePixelData) { qDebug() << Q_FUNC_INFO << "null pointer passed as lineData"; return; }
  
  QVector<QCPData> lineData;
  getPreparedData(&lineData, scatterData);
  linePixelData->reserve(lineData.size()*2+2); // added 2 to reserve memory for lower/upper fill base points that might be needed for fill
  linePixelData->resize(lineData.size()*2);
  
  // calculate steps from lineData and transform to pixel coordinates:
  if (keyAxis->orientation() == Qt::Vertical)
  {
    double lastKey = keyAxis->coordToPixel(lineData.first().key);
    double value;
    for (int i=0; i<lineData.size(); ++i)
    {
      value = valueAxis->coordToPixel(lineData.at(i).value);
      (*linePixelData)[i*2+0].setX(value);
      (*linePixelData)[i*2+0].setY(lastKey);
      lastKey = keyAxis->coordToPixel(lineData.at(i).key);
      (*linePixelData)[i*2+1].setX(value);
      (*linePixelData)[i*2+1].setY(lastKey);
    }
  } else // key axis is horizontal
  {
    double lastKey = keyAxis->coordToPixel(lineData.first().key);
    double value;
    for (int i=0; i<lineData.size(); ++i)
    {
      value = valueAxis->coordToPixel(lineData.at(i).value);
      (*linePixelData)[i*2+0].setX(lastKey);
      (*linePixelData)[i*2+0].setY(value);
      lastKey = keyAxis->coordToPixel(lineData.at(i).key);
      (*linePixelData)[i*2+1].setX(lastKey);
      (*linePixelData)[i*2+1].setY(value);
    }
  }
}
 
void QCPGraph::getStepCenterPlotData(QVector<QPointF> *linePixelData, QVector<QCPData> *scatterData) const
{
  QCPAxis *keyAxis = mKeyAxis.data();
  QCPAxis *valueAxis = mValueAxis.data();
  if (!keyAxis || !valueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return; }
  if (!linePixelData) { qDebug() << Q_FUNC_INFO << "null pointer passed as lineData"; return; }
  
  QVector<QCPData> lineData;
  getPreparedData(&lineData, scatterData);
  linePixelData->reserve(lineData.size()*2+2); // added 2 to reserve memory for lower/upper fill base points that might be needed for fill
  linePixelData->resize(lineData.size()*2);
  // calculate steps from lineData and transform to pixel coordinates:
  if (keyAxis->orientation() == Qt::Vertical)
  {
    double lastKey = keyAxis->coordToPixel(lineData.first().key);
    double lastValue = valueAxis->coordToPixel(lineData.first().value);
    double key;
    (*linePixelData)[0].setX(lastValue);
    (*linePixelData)[0].setY(lastKey);
    for (int i=1; i<lineData.size(); ++i)
    {
      key = (keyAxis->coordToPixel(lineData.at(i).key)+lastKey)*0.5;
      (*linePixelData)[i*2-1].setX(lastValue);
      (*linePixelData)[i*2-1].setY(key);
      lastValue = valueAxis->coordToPixel(lineData.at(i).value);
      lastKey = keyAxis->coordToPixel(lineData.at(i).key);
      (*linePixelData)[i*2+0].setX(lastValue);
      (*linePixelData)[i*2+0].setY(key);
    }
    (*linePixelData)[lineData.size()*2-1].setX(lastValue);
    (*linePixelData)[lineData.size()*2-1].setY(lastKey);
  } else // key axis is horizontal
  {
    double lastKey = keyAxis->coordToPixel(lineData.first().key);
    double lastValue = valueAxis->coordToPixel(lineData.first().value);
    double key;
    (*linePixelData)[0].setX(lastKey);
    (*linePixelData)[0].setY(lastValue);
    for (int i=1; i<lineData.size(); ++i)
    {
      key = (keyAxis->coordToPixel(lineData.at(i).key)+lastKey)*0.5;
      (*linePixelData)[i*2-1].setX(key);
      (*linePixelData)[i*2-1].setY(lastValue);
      lastValue = valueAxis->coordToPixel(lineData.at(i).value);
      lastKey = keyAxis->coordToPixel(lineData.at(i).key);
      (*linePixelData)[i*2+0].setX(key);
      (*linePixelData)[i*2+0].setY(lastValue);
    }
    (*linePixelData)[lineData.size()*2-1].setX(lastKey);
    (*linePixelData)[lineData.size()*2-1].setY(lastValue);
  }
 
}
 
void QCPGraph::getImpulsePlotData(QVector<QPointF> *linePixelData, QVector<QCPData> *scatterData) const
{
  QCPAxis *keyAxis = mKeyAxis.data();
  QCPAxis *valueAxis = mValueAxis.data();
  if (!keyAxis || !valueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return; }
  if (!linePixelData) { qDebug() << Q_FUNC_INFO << "null pointer passed as linePixelData"; return; }
  
  QVector<QCPData> lineData;
  getPreparedData(&lineData, scatterData);
  linePixelData->resize(lineData.size()*2); // no need to reserve 2 extra points because impulse plot has no fill
  
  // transform lineData points to pixels:
  if (keyAxis->orientation() == Qt::Vertical)
  {
    double zeroPointX = valueAxis->coordToPixel(0);
    double key;
    for (int i=0; i<lineData.size(); ++i)
    {
      key = keyAxis->coordToPixel(lineData.at(i).key);
      (*linePixelData)[i*2+0].setX(zeroPointX);
      (*linePixelData)[i*2+0].setY(key);
      (*linePixelData)[i*2+1].setX(valueAxis->coordToPixel(lineData.at(i).value));
      (*linePixelData)[i*2+1].setY(key);
    }
  } else // key axis is horizontal
  {
    double zeroPointY = valueAxis->coordToPixel(0);
    double key;
    for (int i=0; i<lineData.size(); ++i)
    {
      key = keyAxis->coordToPixel(lineData.at(i).key);
      (*linePixelData)[i*2+0].setX(key);
      (*linePixelData)[i*2+0].setY(zeroPointY);
      (*linePixelData)[i*2+1].setX(key);
      (*linePixelData)[i*2+1].setY(valueAxis->coordToPixel(lineData.at(i).value));
    }
  }
}
 
void QCPGraph::drawFill(QCPPainter *painter, QVector<QPointF> *lineData) const
{
  if (mLineStyle == lsImpulse) return; // fill doesn't make sense for impulse plot
  if (mainBrush().style() == Qt::NoBrush || mainBrush().color().alpha() == 0) return;
  
  applyFillAntialiasingHint(painter);
  if (!mChannelFillGraph)
  {
    // draw base fill under graph, fill goes all the way to the zero-value-line:
    addFillBasePoints(lineData);
    painter->setPen(Qt::NoPen);
    painter->setBrush(mainBrush());
    painter->drawPolygon(QPolygonF(*lineData));
    removeFillBasePoints(lineData);
  } else
  {
    // draw channel fill between this graph and mChannelFillGraph:
    painter->setPen(Qt::NoPen);
    painter->setBrush(mainBrush());
    painter->drawPolygon(getChannelFillPolygon(lineData));
  }
}
 
void QCPGraph::drawScatterPlot(QCPPainter *painter, QVector<QCPData> *scatterData) const
{
  QCPAxis *keyAxis = mKeyAxis.data();
  QCPAxis *valueAxis = mValueAxis.data();
  if (!keyAxis || !valueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return; }
  
  // draw error bars:
  if (mErrorType != etNone)
  {
    applyErrorBarsAntialiasingHint(painter);
    painter->setPen(mErrorPen);
    if (keyAxis->orientation() == Qt::Vertical)
    {
      for (int i=0; i<scatterData->size(); ++i)
        drawError(painter, valueAxis->coordToPixel(scatterData->at(i).value), keyAxis->coordToPixel(scatterData->at(i).key), scatterData->at(i));
    } else
    {
      for (int i=0; i<scatterData->size(); ++i)
        drawError(painter, keyAxis->coordToPixel(scatterData->at(i).key), valueAxis->coordToPixel(scatterData->at(i).value), scatterData->at(i));
    }
  }
  
  // draw scatter point symbols:
  applyScattersAntialiasingHint(painter);
  mScatterStyle.applyTo(painter, mPen);
  if (keyAxis->orientation() == Qt::Vertical)
  {
    for (int i=0; i<scatterData->size(); ++i)
      mScatterStyle.drawShape(painter, valueAxis->coordToPixel(scatterData->at(i).value), keyAxis->coordToPixel(scatterData->at(i).key));
  } else
  {
    for (int i=0; i<scatterData->size(); ++i)
      mScatterStyle.drawShape(painter, keyAxis->coordToPixel(scatterData->at(i).key), valueAxis->coordToPixel(scatterData->at(i).value));
  }
}
 
void QCPGraph::drawLinePlot(QCPPainter *painter, QVector<QPointF> *lineData) const
{
  // draw line of graph:
  if (mainPen().style() != Qt::NoPen && mainPen().color().alpha() != 0)
  {
    applyDefaultAntialiasingHint(painter);
    painter->setPen(mainPen());
    painter->setBrush(Qt::NoBrush);
    
    /* Draws polyline in batches, currently not used:
    int p = 0;
    while (p < lineData->size())
    {
      int batch = qMin(25, lineData->size()-p);
      if (p != 0)
      {
        ++batch;
        --p; // to draw the connection lines between two batches
      }
      painter->drawPolyline(lineData->constData()+p, batch);
      p += batch;
    }
    */
    
    // if drawing solid line and not in PDF, use much faster line drawing instead of polyline:
    if (mParentPlot->plottingHints().testFlag(QCP::phFastPolylines) &&
        painter->pen().style() == Qt::SolidLine &&
        !painter->modes().testFlag(QCPPainter::pmVectorized)&&
        !painter->modes().testFlag(QCPPainter::pmNoCaching))
    {
      for (int i=1; i<lineData->size(); ++i)
        painter->drawLine(lineData->at(i-1), lineData->at(i));
    } else
    {
      painter->drawPolyline(QPolygonF(*lineData));
    }
  }
}
 
void QCPGraph::drawImpulsePlot(QCPPainter *painter, QVector<QPointF> *lineData) const
{
  // draw impulses:
  if (mainPen().style() != Qt::NoPen && mainPen().color().alpha() != 0)
  {
    applyDefaultAntialiasingHint(painter);
    QPen pen = mainPen();
    pen.setCapStyle(Qt::FlatCap); // so impulse line doesn't reach beyond zero-line
    painter->setPen(pen);
    painter->setBrush(Qt::NoBrush);
    painter->drawLines(*lineData);
  }
}
 
void QCPGraph::getPreparedData(QVector<QCPData> *lineData, QVector<QCPData> *scatterData) const
{
  QCPAxis *keyAxis = mKeyAxis.data();
  QCPAxis *valueAxis = mValueAxis.data();
  if (!keyAxis || !valueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return; }
  // get visible data range:
  QCPDataMap::const_iterator lower, upper; // note that upper is the actual upper point, and not 1 step after the upper point
  getVisibleDataBounds(lower, upper);
  if (lower == mData->constEnd() || upper == mData->constEnd())
    return;
  
  // count points in visible range, taking into account that we only need to count to the limit maxCount if using adaptive sampling:
  int maxCount = std::numeric_limits<int>::max();
  if (mAdaptiveSampling)
  {
    int keyPixelSpan = qAbs(keyAxis->coordToPixel(lower.key())-keyAxis->coordToPixel(upper.key()));
    maxCount = 2*keyPixelSpan+2;
  }
  int dataCount = countDataInBounds(lower, upper, maxCount);
  
  if (mAdaptiveSampling && dataCount >= maxCount) // use adaptive sampling only if there are at least two points per pixel on average
  {
    if (lineData)
    {
      QCPDataMap::const_iterator it = lower;
      QCPDataMap::const_iterator upperEnd = upper+1;
      double minValue = it.value().value;
      double maxValue = it.value().value;
      QCPDataMap::const_iterator currentIntervalFirstPoint = it;
      int reversedFactor = keyAxis->rangeReversed() ? -1 : 1; // is used to calculate keyEpsilon pixel into the correct direction
      int reversedRound = keyAxis->rangeReversed() ? 1 : 0; // is used to switch between floor (normal) and ceil (reversed) rounding of currentIntervalStartKey
      double currentIntervalStartKey = keyAxis->pixelToCoord((int)(keyAxis->coordToPixel(lower.key())+reversedRound));
      double lastIntervalEndKey = currentIntervalStartKey;
      double keyEpsilon = qAbs(currentIntervalStartKey-keyAxis->pixelToCoord(keyAxis->coordToPixel(currentIntervalStartKey)+1.0*reversedFactor)); // interval of one pixel on screen when mapped to plot key coordinates
      bool keyEpsilonVariable = keyAxis->scaleType() == QCPAxis::stLogarithmic; // indicates whether keyEpsilon needs to be updated after every interval (for log axes)
      int intervalDataCount = 1;
      ++it; // advance iterator to second data point because adaptive sampling works in 1 point retrospect
      while (it != upperEnd)
      {
        if (it.key() < currentIntervalStartKey+keyEpsilon) // data point is still within same pixel, so skip it and expand value span of this cluster if necessary
        {
          if (it.value().value < minValue)
            minValue = it.value().value;
          else if (it.value().value > maxValue)
            maxValue = it.value().value;
          ++intervalDataCount;
        } else // new pixel interval started
        {
          if (intervalDataCount >= 2) // last pixel had multiple data points, consolidate them to a cluster
          {
            if (lastIntervalEndKey < currentIntervalStartKey-keyEpsilon) // last point is further away, so first point of this cluster must be at a real data point
              lineData->append(QCPData(currentIntervalStartKey+keyEpsilon*0.2, currentIntervalFirstPoint.value().value));
            lineData->append(QCPData(currentIntervalStartKey+keyEpsilon*0.25, minValue));
            lineData->append(QCPData(currentIntervalStartKey+keyEpsilon*0.75, maxValue));
            if (it.key() > currentIntervalStartKey+keyEpsilon*2) // new pixel started further away from previous cluster, so make sure the last point of the cluster is at a real data point
              lineData->append(QCPData(currentIntervalStartKey+keyEpsilon*0.8, (it-1).value().value));
          } else
            lineData->append(QCPData(currentIntervalFirstPoint.key(), currentIntervalFirstPoint.value().value));
          lastIntervalEndKey = (it-1).value().key;
          minValue = it.value().value;
          maxValue = it.value().value;
          currentIntervalFirstPoint = it;
          currentIntervalStartKey = keyAxis->pixelToCoord((int)(keyAxis->coordToPixel(it.key())+reversedRound));
          if (keyEpsilonVariable)
            keyEpsilon = qAbs(currentIntervalStartKey-keyAxis->pixelToCoord(keyAxis->coordToPixel(currentIntervalStartKey)+1.0*reversedFactor));
          intervalDataCount = 1;
        }
        ++it;
      }
      // handle last interval:
      if (intervalDataCount >= 2) // last pixel had multiple data points, consolidate them to a cluster
      {
        if (lastIntervalEndKey < currentIntervalStartKey-keyEpsilon) // last point wasn't a cluster, so first point of this cluster must be at a real data point
          lineData->append(QCPData(currentIntervalStartKey+keyEpsilon*0.2, currentIntervalFirstPoint.value().value));
        lineData->append(QCPData(currentIntervalStartKey+keyEpsilon*0.25, minValue));
        lineData->append(QCPData(currentIntervalStartKey+keyEpsilon*0.75, maxValue));
      } else
        lineData->append(QCPData(currentIntervalFirstPoint.key(), currentIntervalFirstPoint.value().value));
    }
    
    if (scatterData)
    {
      double valueMaxRange = valueAxis->range().upper;
      double valueMinRange = valueAxis->range().lower;
      QCPDataMap::const_iterator it = lower;
      QCPDataMap::const_iterator upperEnd = upper+1;
      double minValue = it.value().value;
      double maxValue = it.value().value;
      QCPDataMap::const_iterator minValueIt = it;
      QCPDataMap::const_iterator maxValueIt = it;
      QCPDataMap::const_iterator currentIntervalStart = it;
      int reversedFactor = keyAxis->rangeReversed() ? -1 : 1; // is used to calculate keyEpsilon pixel into the correct direction
      int reversedRound = keyAxis->rangeReversed() ? 1 : 0; // is used to switch between floor (normal) and ceil (reversed) rounding of currentIntervalStartKey
      double currentIntervalStartKey = keyAxis->pixelToCoord((int)(keyAxis->coordToPixel(lower.key())+reversedRound));
      double keyEpsilon = qAbs(currentIntervalStartKey-keyAxis->pixelToCoord(keyAxis->coordToPixel(currentIntervalStartKey)+1.0*reversedFactor)); // interval of one pixel on screen when mapped to plot key coordinates
      bool keyEpsilonVariable = keyAxis->scaleType() == QCPAxis::stLogarithmic; // indicates whether keyEpsilon needs to be updated after every interval (for log axes)
      int intervalDataCount = 1;
      ++it; // advance iterator to second data point because adaptive sampling works in 1 point retrospect
      while (it != upperEnd)
      {
        if (it.key() < currentIntervalStartKey+keyEpsilon) // data point is still within same pixel, so skip it and expand value span of this pixel if necessary
        {
          if (it.value().value < minValue && it.value().value > valueMinRange && it.value().value < valueMaxRange)
          {
            minValue = it.value().value;
            minValueIt = it;
          } else if (it.value().value > maxValue && it.value().value > valueMinRange && it.value().value < valueMaxRange)
          {
            maxValue = it.value().value;
            maxValueIt = it;
          }
          ++intervalDataCount;
        } else // new pixel started
        {
          if (intervalDataCount >= 2) // last pixel had multiple data points, consolidate them
          {
            // determine value pixel span and add as many points in interval to maintain certain vertical data density (this is specific to scatter plot):
            double valuePixelSpan = qAbs(valueAxis->coordToPixel(minValue)-valueAxis->coordToPixel(maxValue));
            int dataModulo = qMax(1, qRound(intervalDataCount/(valuePixelSpan/4.0))); // approximately every 4 value pixels one data point on average
            QCPDataMap::const_iterator intervalIt = currentIntervalStart;
            int c = 0;
            while (intervalIt != it)
            {
              if ((c % dataModulo == 0 || intervalIt == minValueIt || intervalIt == maxValueIt) && intervalIt.value().value > valueMinRange && intervalIt.value().value < valueMaxRange)
                scatterData->append(intervalIt.value());
              ++c;
              ++intervalIt;
            }
          } else if (currentIntervalStart.value().value > valueMinRange && currentIntervalStart.value().value < valueMaxRange)
            scatterData->append(currentIntervalStart.value());
          minValue = it.value().value;
          maxValue = it.value().value;
          currentIntervalStart = it;
          currentIntervalStartKey = keyAxis->pixelToCoord((int)(keyAxis->coordToPixel(it.key())+reversedRound));
          if (keyEpsilonVariable)
            keyEpsilon = qAbs(currentIntervalStartKey-keyAxis->pixelToCoord(keyAxis->coordToPixel(currentIntervalStartKey)+1.0*reversedFactor));
          intervalDataCount = 1;
        }
        ++it;
      }
      // handle last interval:
      if (intervalDataCount >= 2) // last pixel had multiple data points, consolidate them
      {
        // determine value pixel span and add as many points in interval to maintain certain vertical data density (this is specific to scatter plot):
        double valuePixelSpan = qAbs(valueAxis->coordToPixel(minValue)-valueAxis->coordToPixel(maxValue));
        int dataModulo = qMax(1, qRound(intervalDataCount/(valuePixelSpan/4.0))); // approximately every 4 value pixels one data point on average
        QCPDataMap::const_iterator intervalIt = currentIntervalStart;
        int c = 0;
        while (intervalIt != it)
        {
          if ((c % dataModulo == 0 || intervalIt == minValueIt || intervalIt == maxValueIt) && intervalIt.value().value > valueMinRange && intervalIt.value().value < valueMaxRange)
            scatterData->append(intervalIt.value());
          ++c;
          ++intervalIt;
        }
      } else if (currentIntervalStart.value().value > valueMinRange && currentIntervalStart.value().value < valueMaxRange)
        scatterData->append(currentIntervalStart.value());
    }
  } else // don't use adaptive sampling algorithm, transfer points one-to-one from the map into the output parameters
  {
    QVector<QCPData> *dataVector = 0;
    if (lineData)
      dataVector = lineData;
    else if (scatterData)
      dataVector = scatterData;
    if (dataVector)
    {
      QCPDataMap::const_iterator it = lower;
      QCPDataMap::const_iterator upperEnd = upper+1;
      dataVector->reserve(dataCount+2); // +2 for possible fill end points
      while (it != upperEnd)
      {
        dataVector->append(it.value());
        ++it;
      }
    }
    if (lineData && scatterData)
      *scatterData = *dataVector;
  }
}
 
void QCPGraph::drawError(QCPPainter *painter, double x, double y, const QCPData &data) const
{
  QCPAxis *keyAxis = mKeyAxis.data();
  QCPAxis *valueAxis = mValueAxis.data();
  if (!keyAxis || !valueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return; }
  
  double a, b; // positions of error bar bounds in pixels
  double barWidthHalf = mErrorBarSize*0.5;
  double skipSymbolMargin = mScatterStyle.size(); // pixels left blank per side, when mErrorBarSkipSymbol is true
 
  if (keyAxis->orientation() == Qt::Vertical)
  {
    // draw key error vertically and value error horizontally
    if (mErrorType == etKey || mErrorType == etBoth)
    {
      a = keyAxis->coordToPixel(data.key-data.keyErrorMinus);
      b = keyAxis->coordToPixel(data.key+data.keyErrorPlus);
      if (keyAxis->rangeReversed())
        qSwap(a,b);
      // draw spine:
      if (mErrorBarSkipSymbol)
      {
        if (a-y > skipSymbolMargin) // don't draw spine if error is so small it's within skipSymbolmargin
          painter->drawLine(QLineF(x, a, x, y+skipSymbolMargin));
        if (y-b > skipSymbolMargin)
          painter->drawLine(QLineF(x, y-skipSymbolMargin, x, b));
      } else
        painter->drawLine(QLineF(x, a, x, b));
      // draw handles:
      painter->drawLine(QLineF(x-barWidthHalf, a, x+barWidthHalf, a));
      painter->drawLine(QLineF(x-barWidthHalf, b, x+barWidthHalf, b));
    }
    if (mErrorType == etValue || mErrorType == etBoth)
    {
      a = valueAxis->coordToPixel(data.value-data.valueErrorMinus);
      b = valueAxis->coordToPixel(data.value+data.valueErrorPlus);
      if (valueAxis->rangeReversed())
        qSwap(a,b);
      // draw spine:
      if (mErrorBarSkipSymbol)
      {
        if (x-a > skipSymbolMargin) // don't draw spine if error is so small it's within skipSymbolmargin
          painter->drawLine(QLineF(a, y, x-skipSymbolMargin, y));
        if (b-x > skipSymbolMargin)
          painter->drawLine(QLineF(x+skipSymbolMargin, y, b, y));
      } else
        painter->drawLine(QLineF(a, y, b, y));
      // draw handles:
      painter->drawLine(QLineF(a, y-barWidthHalf, a, y+barWidthHalf));
      painter->drawLine(QLineF(b, y-barWidthHalf, b, y+barWidthHalf));
    }
  } else // mKeyAxis->orientation() is Qt::Horizontal
  {
    // draw value error vertically and key error horizontally
    if (mErrorType == etKey || mErrorType == etBoth)
    {
      a = keyAxis->coordToPixel(data.key-data.keyErrorMinus);
      b = keyAxis->coordToPixel(data.key+data.keyErrorPlus);
      if (keyAxis->rangeReversed())
        qSwap(a,b);
      // draw spine:
      if (mErrorBarSkipSymbol)
      {
        if (x-a > skipSymbolMargin) // don't draw spine if error is so small it's within skipSymbolmargin
          painter->drawLine(QLineF(a, y, x-skipSymbolMargin, y));
        if (b-x > skipSymbolMargin)
          painter->drawLine(QLineF(x+skipSymbolMargin, y, b, y));
      } else
        painter->drawLine(QLineF(a, y, b, y));
      // draw handles:
      painter->drawLine(QLineF(a, y-barWidthHalf, a, y+barWidthHalf));
      painter->drawLine(QLineF(b, y-barWidthHalf, b, y+barWidthHalf));
    }
    if (mErrorType == etValue || mErrorType == etBoth)
    {
      a = valueAxis->coordToPixel(data.value-data.valueErrorMinus);
      b = valueAxis->coordToPixel(data.value+data.valueErrorPlus);
      if (valueAxis->rangeReversed())
        qSwap(a,b);
      // draw spine:
      if (mErrorBarSkipSymbol)
      {
        if (a-y > skipSymbolMargin) // don't draw spine if error is so small it's within skipSymbolmargin
          painter->drawLine(QLineF(x, a, x, y+skipSymbolMargin));
        if (y-b > skipSymbolMargin)
          painter->drawLine(QLineF(x, y-skipSymbolMargin, x, b));
      } else
        painter->drawLine(QLineF(x, a, x, b));
      // draw handles:
      painter->drawLine(QLineF(x-barWidthHalf, a, x+barWidthHalf, a));
      painter->drawLine(QLineF(x-barWidthHalf, b, x+barWidthHalf, b));
    }
  }
}
 
void QCPGraph::getVisibleDataBounds(QCPDataMap::const_iterator &lower, QCPDataMap::const_iterator &upper) const
{
  if (!mKeyAxis) { qDebug() << Q_FUNC_INFO << "invalid key axis"; return; }
  if (mData->isEmpty())
  {
    lower = mData->constEnd();
    upper = mData->constEnd();
    return;
  }
  
  // get visible data range as QMap iterators
  QCPDataMap::const_iterator lbound = mData->lowerBound(mKeyAxis.data()->range().lower);
  QCPDataMap::const_iterator ubound = mData->upperBound(mKeyAxis.data()->range().upper);
  bool lowoutlier = lbound != mData->constBegin(); // indicates whether there exist points below axis range
  bool highoutlier = ubound != mData->constEnd(); // indicates whether there exist points above axis range
  
  lower = (lowoutlier ? lbound-1 : lbound); // data point range that will be actually drawn
  upper = (highoutlier ? ubound : ubound-1); // data point range that will be actually drawn
}
 
int QCPGraph::countDataInBounds(const QCPDataMap::const_iterator &lower, const QCPDataMap::const_iterator &upper, int maxCount) const
{
  if (upper == mData->constEnd() && lower == mData->constEnd())
    return 0;
  QCPDataMap::const_iterator it = lower;
  int count = 1;
  while (it != upper && count < maxCount)
  {
    ++it;
    ++count;
  }
  return count;
}
 
void QCPGraph::addFillBasePoints(QVector<QPointF> *lineData) const
{
  if (!mKeyAxis) { qDebug() << Q_FUNC_INFO << "invalid key axis"; return; }
  
  // append points that close the polygon fill at the key axis:
  if (mKeyAxis.data()->orientation() == Qt::Vertical)
  {
    *lineData << upperFillBasePoint(lineData->last().y());
    *lineData << lowerFillBasePoint(lineData->first().y());
  } else
  {
    *lineData << upperFillBasePoint(lineData->last().x());
    *lineData << lowerFillBasePoint(lineData->first().x());
  }
}
 
void QCPGraph::removeFillBasePoints(QVector<QPointF> *lineData) const
{
  lineData->remove(lineData->size()-2, 2);
}
 
QPointF QCPGraph::lowerFillBasePoint(double lowerKey) const
{
  QCPAxis *keyAxis = mKeyAxis.data();
  QCPAxis *valueAxis = mValueAxis.data();
  if (!keyAxis || !valueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return QPointF(); }
  
  QPointF point;
  if (valueAxis->scaleType() == QCPAxis::stLinear)
  {
    if (keyAxis->axisType() == QCPAxis::atLeft)
    {
      point.setX(valueAxis->coordToPixel(0));
      point.setY(lowerKey);
    } else if (keyAxis->axisType() == QCPAxis::atRight)
    {
      point.setX(valueAxis->coordToPixel(0));
      point.setY(lowerKey);
    } else if (keyAxis->axisType() == QCPAxis::atTop)
    {
      point.setX(lowerKey);
      point.setY(valueAxis->coordToPixel(0));
    } else if (keyAxis->axisType() == QCPAxis::atBottom)
    {
      point.setX(lowerKey);
      point.setY(valueAxis->coordToPixel(0));
    }
  } else // valueAxis->mScaleType == QCPAxis::stLogarithmic
  {
    // In logarithmic scaling we can't just draw to value zero so we just fill all the way
    // to the axis which is in the direction towards zero
    if (keyAxis->orientation() == Qt::Vertical)
    {
      if ((valueAxis->range().upper < 0 && !valueAxis->rangeReversed()) ||
          (valueAxis->range().upper > 0 && valueAxis->rangeReversed())) // if range is negative, zero is on opposite side of key axis
        point.setX(keyAxis->axisRect()->right());
      else
        point.setX(keyAxis->axisRect()->left());
      point.setY(lowerKey);
    } else if (keyAxis->axisType() == QCPAxis::atTop || keyAxis->axisType() == QCPAxis::atBottom)
    {
      point.setX(lowerKey);
      if ((valueAxis->range().upper < 0 && !valueAxis->rangeReversed()) ||
          (valueAxis->range().upper > 0 && valueAxis->rangeReversed())) // if range is negative, zero is on opposite side of key axis
        point.setY(keyAxis->axisRect()->top());
      else
        point.setY(keyAxis->axisRect()->bottom());
    }
  }
  return point;
}
 
QPointF QCPGraph::upperFillBasePoint(double upperKey) const
{
  QCPAxis *keyAxis = mKeyAxis.data();
  QCPAxis *valueAxis = mValueAxis.data();
  if (!keyAxis || !valueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return QPointF(); }
  
  QPointF point;
  if (valueAxis->scaleType() == QCPAxis::stLinear)
  {
    if (keyAxis->axisType() == QCPAxis::atLeft)
    {
      point.setX(valueAxis->coordToPixel(0));
      point.setY(upperKey);
    } else if (keyAxis->axisType() == QCPAxis::atRight)
    {
      point.setX(valueAxis->coordToPixel(0));
      point.setY(upperKey);
    } else if (keyAxis->axisType() == QCPAxis::atTop)
    {
      point.setX(upperKey);
      point.setY(valueAxis->coordToPixel(0));
    } else if (keyAxis->axisType() == QCPAxis::atBottom)
    {
      point.setX(upperKey);
      point.setY(valueAxis->coordToPixel(0));
    }
  } else // valueAxis->mScaleType == QCPAxis::stLogarithmic
  {
    // In logarithmic scaling we can't just draw to value 0 so we just fill all the way
    // to the axis which is in the direction towards 0
    if (keyAxis->orientation() == Qt::Vertical)
    {
      if ((valueAxis->range().upper < 0 && !valueAxis->rangeReversed()) ||
          (valueAxis->range().upper > 0 && valueAxis->rangeReversed())) // if range is negative, zero is on opposite side of key axis
        point.setX(keyAxis->axisRect()->right());
      else
        point.setX(keyAxis->axisRect()->left());
      point.setY(upperKey);
    } else if (keyAxis->axisType() == QCPAxis::atTop || keyAxis->axisType() == QCPAxis::atBottom)
    {
      point.setX(upperKey);
      if ((valueAxis->range().upper < 0 && !valueAxis->rangeReversed()) ||
          (valueAxis->range().upper > 0 && valueAxis->rangeReversed())) // if range is negative, zero is on opposite side of key axis
        point.setY(keyAxis->axisRect()->top());
      else
        point.setY(keyAxis->axisRect()->bottom());
    }
  }
  return point;
}
 
const QPolygonF QCPGraph::getChannelFillPolygon(const QVector<QPointF> *lineData) const
{
  if (!mChannelFillGraph)
    return QPolygonF();
  
  QCPAxis *keyAxis = mKeyAxis.data();
  QCPAxis *valueAxis = mValueAxis.data();
  if (!keyAxis || !valueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return QPolygonF(); }
  if (!mChannelFillGraph.data()->mKeyAxis) { qDebug() << Q_FUNC_INFO << "channel fill target key axis invalid"; return QPolygonF(); }
  
  if (mChannelFillGraph.data()->mKeyAxis.data()->orientation() != keyAxis->orientation())
    return QPolygonF(); // don't have same axis orientation, can't fill that (Note: if keyAxis fits, valueAxis will fit too, because it's always orthogonal to keyAxis)
  
  if (lineData->isEmpty()) return QPolygonF();
  QVector<QPointF> otherData;
  mChannelFillGraph.data()->getPlotData(&otherData, 0);
  if (otherData.isEmpty()) return QPolygonF();
  QVector<QPointF> thisData;
  thisData.reserve(lineData->size()+otherData.size()); // because we will join both vectors at end of this function
  for (int i=0; i<lineData->size(); ++i) // don't use the vector<<(vector),  it squeezes internally, which ruins the performance tuning with reserve()
    thisData << lineData->at(i);
  
  // pointers to be able to swap them, depending which data range needs cropping:
  QVector<QPointF> *staticData = &thisData;
  QVector<QPointF> *croppedData = &otherData;
  
  // crop both vectors to ranges in which the keys overlap (which coord is key, depends on axisType):
  if (keyAxis->orientation() == Qt::Horizontal)
  {
    // x is key
    // if an axis range is reversed, the data point keys will be descending. Reverse them, since following algorithm assumes ascending keys:
    if (staticData->first().x() > staticData->last().x())
    {
      int size = staticData->size();
      for (int i=0; i<size/2; ++i)
        qSwap((*staticData)[i], (*staticData)[size-1-i]);
    }
    if (croppedData->first().x() > croppedData->last().x())
    {
      int size = croppedData->size();
      for (int i=0; i<size/2; ++i)
        qSwap((*croppedData)[i], (*croppedData)[size-1-i]);
    }
    // crop lower bound:
    if (staticData->first().x() < croppedData->first().x()) // other one must be cropped
      qSwap(staticData, croppedData);
    int lowBound = findIndexBelowX(croppedData, staticData->first().x());
    if (lowBound == -1) return QPolygonF(); // key ranges have no overlap
    croppedData->remove(0, lowBound);
    // set lowest point of cropped data to fit exactly key position of first static data
    // point via linear interpolation:
    if (croppedData->size() < 2) return QPolygonF(); // need at least two points for interpolation
    double slope;
    if (croppedData->at(1).x()-croppedData->at(0).x() != 0)
      slope = (croppedData->at(1).y()-croppedData->at(0).y())/(croppedData->at(1).x()-croppedData->at(0).x());
    else
      slope = 0;
    (*croppedData)[0].setY(croppedData->at(0).y()+slope*(staticData->first().x()-croppedData->at(0).x()));
    (*croppedData)[0].setX(staticData->first().x());
    
    // crop upper bound:
    if (staticData->last().x() > croppedData->last().x()) // other one must be cropped
      qSwap(staticData, croppedData);
    int highBound = findIndexAboveX(croppedData, staticData->last().x());
    if (highBound == -1) return QPolygonF(); // key ranges have no overlap
    croppedData->remove(highBound+1, croppedData->size()-(highBound+1));
    // set highest point of cropped data to fit exactly key position of last static data
    // point via linear interpolation:
    if (croppedData->size() < 2) return QPolygonF(); // need at least two points for interpolation
    int li = croppedData->size()-1; // last index
    if (croppedData->at(li).x()-croppedData->at(li-1).x() != 0)
      slope = (croppedData->at(li).y()-croppedData->at(li-1).y())/(croppedData->at(li).x()-croppedData->at(li-1).x());
    else
      slope = 0;
    (*croppedData)[li].setY(croppedData->at(li-1).y()+slope*(staticData->last().x()-croppedData->at(li-1).x()));
    (*croppedData)[li].setX(staticData->last().x());
  } else // mKeyAxis->orientation() == Qt::Vertical
  {
    // y is key
    // similar to "x is key" but switched x,y. Further, lower/upper meaning is inverted compared to x,
    // because in pixel coordinates, y increases from top to bottom, not bottom to top like data coordinate.
    // if an axis range is reversed, the data point keys will be descending. Reverse them, since following algorithm assumes ascending keys:
    if (staticData->first().y() < staticData->last().y())
    {
      int size = staticData->size();
      for (int i=0; i<size/2; ++i)
        qSwap((*staticData)[i], (*staticData)[size-1-i]);
    }
    if (croppedData->first().y() < croppedData->last().y())
    {
      int size = croppedData->size();
      for (int i=0; i<size/2; ++i)
        qSwap((*croppedData)[i], (*croppedData)[size-1-i]);
    }
    // crop lower bound:
    if (staticData->first().y() > croppedData->first().y()) // other one must be cropped
      qSwap(staticData, croppedData);
    int lowBound = findIndexAboveY(croppedData, staticData->first().y());
    if (lowBound == -1) return QPolygonF(); // key ranges have no overlap
    croppedData->remove(0, lowBound);
    // set lowest point of cropped data to fit exactly key position of first static data
    // point via linear interpolation:
    if (croppedData->size() < 2) return QPolygonF(); // need at least two points for interpolation
    double slope;
    if (croppedData->at(1).y()-croppedData->at(0).y() != 0) // avoid division by zero in step plots
      slope = (croppedData->at(1).x()-croppedData->at(0).x())/(croppedData->at(1).y()-croppedData->at(0).y());
    else
      slope = 0;
    (*croppedData)[0].setX(croppedData->at(0).x()+slope*(staticData->first().y()-croppedData->at(0).y()));
    (*croppedData)[0].setY(staticData->first().y());
    
    // crop upper bound:
    if (staticData->last().y() < croppedData->last().y()) // other one must be cropped
      qSwap(staticData, croppedData);
    int highBound = findIndexBelowY(croppedData, staticData->last().y());
    if (highBound == -1) return QPolygonF(); // key ranges have no overlap
    croppedData->remove(highBound+1, croppedData->size()-(highBound+1));
    // set highest point of cropped data to fit exactly key position of last static data
    // point via linear interpolation:
    if (croppedData->size() < 2) return QPolygonF(); // need at least two points for interpolation
    int li = croppedData->size()-1; // last index
    if (croppedData->at(li).y()-croppedData->at(li-1).y() != 0) // avoid division by zero in step plots
      slope = (croppedData->at(li).x()-croppedData->at(li-1).x())/(croppedData->at(li).y()-croppedData->at(li-1).y());
    else
      slope = 0;
    (*croppedData)[li].setX(croppedData->at(li-1).x()+slope*(staticData->last().y()-croppedData->at(li-1).y()));
    (*croppedData)[li].setY(staticData->last().y());
  }
  
  // return joined:
  for (int i=otherData.size()-1; i>=0; --i) // insert reversed, otherwise the polygon will be twisted
    thisData << otherData.at(i);
  return QPolygonF(thisData);
}
 
int QCPGraph::findIndexAboveX(const QVector<QPointF> *data, double x) const
{
  for (int i=data->size()-1; i>=0; --i)
  {
    if (data->at(i).x() < x)
    {
      if (i<data->size()-1)
        return i+1;
      else
        return data->size()-1;
    }
  }
  return -1;
}
 
int QCPGraph::findIndexBelowX(const QVector<QPointF> *data, double x) const
{
  for (int i=0; i<data->size(); ++i)
  {
    if (data->at(i).x() > x)
    {
      if (i>0)
        return i-1;
      else
        return 0;
    }
  }
  return -1;
}
 
int QCPGraph::findIndexAboveY(const QVector<QPointF> *data, double y) const
{
  for (int i=0; i<data->size(); ++i)
  {
    if (data->at(i).y() < y)
    {
      if (i>0)
        return i-1;
      else
        return 0;
    }
  }
  return -1;
}
 
double QCPGraph::pointDistance(const QPointF &pixelPoint) const
{
  if (mData->isEmpty())
  {
    qDebug() << Q_FUNC_INFO << "requested point distance on graph" << mName << "without data";
    return 500;
  }
  if (mData->size() == 1)
  {
    QPointF dataPoint = coordsToPixels(mData->constBegin().key(), mData->constBegin().value().value);
    return QVector2D(dataPoint-pixelPoint).length();
  }
  
  if (mLineStyle == lsNone && mScatterStyle.isNone())
    return 500;
  
  // calculate minimum distances to graph representation:
  if (mLineStyle == lsNone)
  {
    // no line displayed, only calculate distance to scatter points:
    QVector<QCPData> *scatterData = new QVector<QCPData>;
    getScatterPlotData(scatterData);
    double minDistSqr = std::numeric_limits<double>::max();
    QPointF ptA;
    QPointF ptB = coordsToPixels(scatterData->at(0).key, scatterData->at(0).value); // getScatterPlotData returns in plot coordinates, so transform to pixels
    for (int i=1; i<scatterData->size(); ++i)
    {
      ptA = ptB;
      ptB = coordsToPixels(scatterData->at(i).key, scatterData->at(i).value);
      double currentDistSqr = distSqrToLine(ptA, ptB, pixelPoint);
      if (currentDistSqr < minDistSqr)
        minDistSqr = currentDistSqr;
    }
    delete scatterData;
    return sqrt(minDistSqr);
  } else
  {
    // line displayed calculate distance to line segments:
    QVector<QPointF> *lineData = new QVector<QPointF>;
    getPlotData(lineData, 0); // unlike with getScatterPlotData we get pixel coordinates here
    double minDistSqr = std::numeric_limits<double>::max();
    if (mLineStyle == lsImpulse)
    {
      // impulse plot differs from other line styles in that the lineData points are only pairwise connected:
      for (int i=0; i<lineData->size()-1; i+=2) // iterate pairs
      {
        double currentDistSqr = distSqrToLine(lineData->at(i), lineData->at(i+1), pixelPoint);
        if (currentDistSqr < minDistSqr)
          minDistSqr = currentDistSqr;
      }
    } else
    {
      // all other line plots (line and step) connect points directly:
      for (int i=0; i<lineData->size()-1; ++i)
      {
        double currentDistSqr = distSqrToLine(lineData->at(i), lineData->at(i+1), pixelPoint);
        if (currentDistSqr < minDistSqr)
          minDistSqr = currentDistSqr;
      }
    }
    delete lineData;
    return sqrt(minDistSqr);
  }
}
 
int QCPGraph::findIndexBelowY(const QVector<QPointF> *data, double y) const
{
  for (int i=data->size()-1; i>=0; --i)
  {
    if (data->at(i).y() > y)
    {
      if (i<data->size()-1)
        return i+1;
      else
        return data->size()-1;
    }
  }
  return -1;
}
 
/* inherits documentation from base class */
QCPRange QCPGraph::getKeyRange(bool &foundRange, SignDomain inSignDomain) const
{
  // just call the specialized version which takes an additional argument whether error bars
  // should also be taken into consideration for range calculation. We set this to true here.
  return getKeyRange(foundRange, inSignDomain, true);
}
 
/* inherits documentation from base class */
QCPRange QCPGraph::getValueRange(bool &foundRange, SignDomain inSignDomain) const
{
  // just call the specialized version which takes an additional argument whether error bars
  // should also be taken into consideration for range calculation. We set this to true here.
  return getValueRange(foundRange, inSignDomain, true);
}
 
QCPRange QCPGraph::getKeyRange(bool &foundRange, SignDomain inSignDomain, bool includeErrors) const
{
  QCPRange range;
  bool haveLower = false;
  bool haveUpper = false;
  
  double current, currentErrorMinus, currentErrorPlus;
  
  if (inSignDomain == sdBoth) // range may be anywhere
  {
    QCPDataMap::const_iterator it = mData->constBegin();
    while (it != mData->constEnd())
    {
      current = it.value().key;
      currentErrorMinus = (includeErrors ? it.value().keyErrorMinus : 0);
      currentErrorPlus = (includeErrors ? it.value().keyErrorPlus : 0);
      if (current-currentErrorMinus < range.lower || !haveLower)
      {
        range.lower = current-currentErrorMinus;
        haveLower = true;
      }
      if (current+currentErrorPlus > range.upper || !haveUpper)
      {
        range.upper = current+currentErrorPlus;
        haveUpper = true;
      }
      ++it;
    }
  } else if (inSignDomain == sdNegative) // range may only be in the negative sign domain
  {
    QCPDataMap::const_iterator it = mData->constBegin();
    while (it != mData->constEnd())
    {
      current = it.value().key;
      currentErrorMinus = (includeErrors ? it.value().keyErrorMinus : 0);
      currentErrorPlus = (includeErrors ? it.value().keyErrorPlus : 0);
      if ((current-currentErrorMinus < range.lower || !haveLower) && current-currentErrorMinus < 0)
      {
        range.lower = current-currentErrorMinus;
        haveLower = true;
      }
      if ((current+currentErrorPlus > range.upper || !haveUpper) && current+currentErrorPlus < 0)
      {
        range.upper = current+currentErrorPlus;
        haveUpper = true;
      }
      if (includeErrors) // in case point is in valid sign domain but errobars stretch beyond it, we still want to geht that point.
      {
        if ((current < range.lower || !haveLower) && current < 0)
        {
          range.lower = current;
          haveLower = true;
        }
        if ((current > range.upper || !haveUpper) && current < 0)
        {
          range.upper = current;
          haveUpper = true;
        }
      }
      ++it;
    }
  } else if (inSignDomain == sdPositive) // range may only be in the positive sign domain
  {
    QCPDataMap::const_iterator it = mData->constBegin();
    while (it != mData->constEnd())
    {
      current = it.value().key;
      currentErrorMinus = (includeErrors ? it.value().keyErrorMinus : 0);
      currentErrorPlus = (includeErrors ? it.value().keyErrorPlus : 0);
      if ((current-currentErrorMinus < range.lower || !haveLower) && current-currentErrorMinus > 0)
      {
        range.lower = current-currentErrorMinus;
        haveLower = true;
      }
      if ((current+currentErrorPlus > range.upper || !haveUpper) && current+currentErrorPlus > 0)
      {
        range.upper = current+currentErrorPlus;
        haveUpper = true;
      }
      if (includeErrors) // in case point is in valid sign domain but errobars stretch beyond it, we still want to get that point.
      {
        if ((current < range.lower || !haveLower) && current > 0)
        {
          range.lower = current;
          haveLower = true;
        }
        if ((current > range.upper || !haveUpper) && current > 0)
        {
          range.upper = current;
          haveUpper = true;
        }
      }
      ++it;
    }
  }
  
  foundRange = haveLower && haveUpper;
  return range;
}
 
QCPRange QCPGraph::getValueRange(bool &foundRange, SignDomain inSignDomain, bool includeErrors) const
{
  QCPRange range;
  bool haveLower = false;
  bool haveUpper = false;
  
  double current, currentErrorMinus, currentErrorPlus;
  
  if (inSignDomain == sdBoth) // range may be anywhere
  {
    QCPDataMap::const_iterator it = mData->constBegin();
    while (it != mData->constEnd())
    {
      current = it.value().value;
      currentErrorMinus = (includeErrors ? it.value().valueErrorMinus : 0);
      currentErrorPlus = (includeErrors ? it.value().valueErrorPlus : 0);
      if (current-currentErrorMinus < range.lower || !haveLower)
      {
        range.lower = current-currentErrorMinus;
        haveLower = true;
      }
      if (current+currentErrorPlus > range.upper || !haveUpper)
      {
        range.upper = current+currentErrorPlus;
        haveUpper = true;
      }
      ++it;
    }
  } else if (inSignDomain == sdNegative) // range may only be in the negative sign domain
  {
    QCPDataMap::const_iterator it = mData->constBegin();
    while (it != mData->constEnd())
    {
      current = it.value().value;
      currentErrorMinus = (includeErrors ? it.value().valueErrorMinus : 0);
      currentErrorPlus = (includeErrors ? it.value().valueErrorPlus : 0);
      if ((current-currentErrorMinus < range.lower || !haveLower) && current-currentErrorMinus < 0)
      {
        range.lower = current-currentErrorMinus;
        haveLower = true;
      }
      if ((current+currentErrorPlus > range.upper || !haveUpper) && current+currentErrorPlus < 0)
      {
        range.upper = current+currentErrorPlus;
        haveUpper = true;
      }
      if (includeErrors) // in case point is in valid sign domain but errobars stretch beyond it, we still want to get that point.
      {
        if ((current < range.lower || !haveLower) && current < 0)
        {
          range.lower = current;
          haveLower = true;
        }
        if ((current > range.upper || !haveUpper) && current < 0)
        {
          range.upper = current;
          haveUpper = true;
        }
      }
      ++it;
    }
  } else if (inSignDomain == sdPositive) // range may only be in the positive sign domain
  {
    QCPDataMap::const_iterator it = mData->constBegin();
    while (it != mData->constEnd())
    {
      current = it.value().value;
      currentErrorMinus = (includeErrors ? it.value().valueErrorMinus : 0);
      currentErrorPlus = (includeErrors ? it.value().valueErrorPlus : 0);
      if ((current-currentErrorMinus < range.lower || !haveLower) && current-currentErrorMinus > 0)
      {
        range.lower = current-currentErrorMinus;
        haveLower = true;
      }
      if ((current+currentErrorPlus > range.upper || !haveUpper) && current+currentErrorPlus > 0)
      {
        range.upper = current+currentErrorPlus;
        haveUpper = true;
      }
      if (includeErrors) // in case point is in valid sign domain but errobars stretch beyond it, we still want to geht that point.
      {
        if ((current < range.lower || !haveLower) && current > 0)
        {
          range.lower = current;
          haveLower = true;
        }
        if ((current > range.upper || !haveUpper) && current > 0)
        {
          range.upper = current;
          haveUpper = true;
        }
      }
      ++it;
    }
  }
  
  foundRange = haveLower && haveUpper;
  return range;
}
 
 
 
QCPCurveData::QCPCurveData() :
  t(0),
  key(0),
  value(0)
{
}
 
QCPCurveData::QCPCurveData(double t, double key, double value) :
  t(t),
  key(key),
  value(value)
{
}
 
 
 
QCPCurve::QCPCurve(QCPAxis *keyAxis, QCPAxis *valueAxis) :
  QCPAbstractPlottable(keyAxis, valueAxis)
{
  mData = new QCPCurveDataMap;
  mPen.setColor(Qt::blue);
  mPen.setStyle(Qt::SolidLine);
  mBrush.setColor(Qt::blue);
  mBrush.setStyle(Qt::NoBrush);
  mSelectedPen = mPen;
  mSelectedPen.setWidthF(2.5);
  mSelectedPen.setColor(QColor(80, 80, 255)); // lighter than Qt::blue of mPen
  mSelectedBrush = mBrush;
  
  setScatterStyle(QCPScatterStyle());
  setLineStyle(lsLine);
}
 
QCPCurve::~QCPCurve()
{
  delete mData;
}
 
void QCPCurve::setData(QCPCurveDataMap *data, bool copy)
{
  if (copy)
  {
    *mData = *data;
  } else
  {
    delete mData;
    mData = data;
  }
}
 
void QCPCurve::setData(const QVector<double> &t, const QVector<double> &key, const QVector<double> &value)
{
  mData->clear();
  int n = t.size();
  n = qMin(n, key.size());
  n = qMin(n, value.size());
  QCPCurveData newData;
  for (int i=0; i<n; ++i)
  {
    newData.t = t[i];
    newData.key = key[i];
    newData.value = value[i];
    mData->insertMulti(newData.t, newData);
  }
}
 
void QCPCurve::setData(const QVector<double> &key, const QVector<double> &value)
{
  mData->clear();
  int n = key.size();
  n = qMin(n, value.size());
  QCPCurveData newData;
  for (int i=0; i<n; ++i)
  {
    newData.t = i; // no t vector given, so we assign t the index of the key/value pair
    newData.key = key[i];
    newData.value = value[i];
    mData->insertMulti(newData.t, newData);
  }
}
 
void QCPCurve::setScatterStyle(const QCPScatterStyle &style)
{
  mScatterStyle = style;
}
 
void QCPCurve::setLineStyle(QCPCurve::LineStyle style)
{
  mLineStyle = style;
}
 
void QCPCurve::addData(const QCPCurveDataMap &dataMap)
{
  mData->unite(dataMap);
}
 
void QCPCurve::addData(const QCPCurveData &data)
{
  mData->insertMulti(data.t, data);
}
 
void QCPCurve::addData(double t, double key, double value)
{
  QCPCurveData newData;
  newData.t = t;
  newData.key = key;
  newData.value = value;
  mData->insertMulti(newData.t, newData);
}
 
void QCPCurve::addData(double key, double value)
{
  QCPCurveData newData;
  if (!mData->isEmpty())
    newData.t = (mData->constEnd()-1).key()+1;
  else
    newData.t = 0;
  newData.key = key;
  newData.value = value;
  mData->insertMulti(newData.t, newData);
}
 
void QCPCurve::addData(const QVector<double> &ts, const QVector<double> &keys, const QVector<double> &values)
{
  int n = ts.size();
  n = qMin(n, keys.size());
  n = qMin(n, values.size());
  QCPCurveData newData;
  for (int i=0; i<n; ++i)
  {
    newData.t = ts[i];
    newData.key = keys[i];
    newData.value = values[i];
    mData->insertMulti(newData.t, newData);
  }
}
 
void QCPCurve::removeDataBefore(double t)
{
  QCPCurveDataMap::iterator it = mData->begin();
  while (it != mData->end() && it.key() < t)
    it = mData->erase(it);
}
 
void QCPCurve::removeDataAfter(double t)
{
  if (mData->isEmpty()) return;
  QCPCurveDataMap::iterator it = mData->upperBound(t);
  while (it != mData->end())
    it = mData->erase(it);
}
 
void QCPCurve::removeData(double fromt, double tot)
{
  if (fromt >= tot || mData->isEmpty()) return;
  QCPCurveDataMap::iterator it = mData->upperBound(fromt);
  QCPCurveDataMap::iterator itEnd = mData->upperBound(tot);
  while (it != itEnd)
    it = mData->erase(it);
}
 
void QCPCurve::removeData(double t)
{
  mData->remove(t);
}
 
void QCPCurve::clearData()
{
  mData->clear();
}
 
/* inherits documentation from base class */
double QCPCurve::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  if ((onlySelectable && !mSelectable) || mData->isEmpty())
    return -1;
  if (!mKeyAxis || !mValueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return -1; }
  
  if (mKeyAxis.data()->axisRect()->rect().contains(pos.toPoint()))
    return pointDistance(pos);
  else
    return -1;
}
 
/* inherits documentation from base class */
void QCPCurve::draw(QCPPainter *painter)
{
  if (mData->isEmpty()) return;
  
  // allocate line vector:
  QVector<QPointF> *lineData = new QVector<QPointF>;
  
  // fill with curve data:
  getCurveData(lineData);
  
  // check data validity if flag set:
#ifdef QCUSTOMPLOT_CHECK_DATA
  QCPCurveDataMap::const_iterator it;
  for (it = mData->constBegin(); it != mData->constEnd(); ++it)
  {
    if (QCP::isInvalidData(it.value().t) ||
        QCP::isInvalidData(it.value().key, it.value().value))
      qDebug() << Q_FUNC_INFO << "Data point at" << it.key() << "invalid." << "Plottable name:" << name();
  }
#endif
  
  // draw curve fill:
  if (mainBrush().style() != Qt::NoBrush && mainBrush().color().alpha() != 0)
  {
    applyFillAntialiasingHint(painter);
    painter->setPen(Qt::NoPen);
    painter->setBrush(mainBrush());
    painter->drawPolygon(QPolygonF(*lineData));
  }
  
  // draw curve line:
  if (mLineStyle != lsNone && mainPen().style() != Qt::NoPen && mainPen().color().alpha() != 0)
  {
    applyDefaultAntialiasingHint(painter);
    painter->setPen(mainPen());
    painter->setBrush(Qt::NoBrush);
    // if drawing solid line and not in PDF, use much faster line drawing instead of polyline:
    if (mParentPlot->plottingHints().testFlag(QCP::phFastPolylines) &&
        painter->pen().style() == Qt::SolidLine &&
        !painter->modes().testFlag(QCPPainter::pmVectorized) &&
        !painter->modes().testFlag(QCPPainter::pmNoCaching))
    {
      for (int i=1; i<lineData->size(); ++i)
        painter->drawLine(lineData->at(i-1), lineData->at(i));
    } else
    {
      painter->drawPolyline(QPolygonF(*lineData));
    }
  }
  
  // draw scatters:
  if (!mScatterStyle.isNone())
    drawScatterPlot(painter, lineData);
  
  // free allocated line data:
  delete lineData;
}
 
/* inherits documentation from base class */
void QCPCurve::drawLegendIcon(QCPPainter *painter, const QRectF &rect) const
{
  // draw fill:
  if (mBrush.style() != Qt::NoBrush)
  {
    applyFillAntialiasingHint(painter);
    painter->fillRect(QRectF(rect.left(), rect.top()+rect.height()/2.0, rect.width(), rect.height()/3.0), mBrush);
  }
  // draw line vertically centered:
  if (mLineStyle != lsNone)
  {
    applyDefaultAntialiasingHint(painter);
    painter->setPen(mPen);
    painter->drawLine(QLineF(rect.left(), rect.top()+rect.height()/2.0, rect.right()+5, rect.top()+rect.height()/2.0)); // +5 on x2 else last segment is missing from dashed/dotted pens
  }
  // draw scatter symbol:
  if (!mScatterStyle.isNone())
  {
    applyScattersAntialiasingHint(painter);
    // scale scatter pixmap if it's too large to fit in legend icon rect:
    if (mScatterStyle.shape() == QCPScatterStyle::ssPixmap && (mScatterStyle.pixmap().size().width() > rect.width() || mScatterStyle.pixmap().size().height() > rect.height()))
    {
      QCPScatterStyle scaledStyle(mScatterStyle);
      scaledStyle.setPixmap(scaledStyle.pixmap().scaled(rect.size().toSize(), Qt::KeepAspectRatio, Qt::SmoothTransformation));
      scaledStyle.applyTo(painter, mPen);
      scaledStyle.drawShape(painter, QRectF(rect).center());
    } else
    {
      mScatterStyle.applyTo(painter, mPen);
      mScatterStyle.drawShape(painter, QRectF(rect).center());
    }
  }
}
 
void QCPCurve::drawScatterPlot(QCPPainter *painter, const QVector<QPointF> *pointData) const
{
  // draw scatter point symbols:
  applyScattersAntialiasingHint(painter);
  mScatterStyle.applyTo(painter, mPen);
  for (int i=0; i<pointData->size(); ++i)
    mScatterStyle.drawShape(painter,  pointData->at(i));
}
 
void QCPCurve::getCurveData(QVector<QPointF> *lineData) const
{
  /* Extended sides of axis rect R divide space into 9 regions:
     1__|_4_|__7
     2__|_R_|__8
     3  | 6 |  9
     General idea: If the two points of a line segment are in the same region (that is not R), the line segment corner is removed.
     Curves outside R become straight lines closely outside of R which greatly reduces drawing time, yet keeps the look of lines and
     fills inside R consistent.
     The region R has index 5.
  */
  QCPAxis *keyAxis = mKeyAxis.data();
  QCPAxis *valueAxis = mValueAxis.data();
  if (!keyAxis || !valueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return; }
  
  QRect axisRect = mKeyAxis.data()->axisRect()->rect() & mValueAxis.data()->axisRect()->rect();
  lineData->reserve(mData->size());
  QCPCurveDataMap::const_iterator it;
  int lastRegion = 5;
  int currentRegion = 5;
  double RLeft = keyAxis->range().lower;
  double RRight = keyAxis->range().upper;
  double RBottom = valueAxis->range().lower;
  double RTop = valueAxis->range().upper;
  double x, y; // current key/value
  bool addedLastAlready = true;
  bool firstPoint = true; // first point must always be drawn, to make sure fill works correctly
  for (it = mData->constBegin(); it != mData->constEnd(); ++it)
  {
    x = it.value().key;
    y = it.value().value;
    // determine current region:
    if (x < RLeft) // region 123
    {
      if (y > RTop)
        currentRegion = 1;
      else if (y < RBottom)
        currentRegion = 3;
      else
        currentRegion = 2;
    } else if (x > RRight) // region 789
    {
      if (y > RTop)
        currentRegion = 7;
      else if (y < RBottom)
        currentRegion = 9;
      else
        currentRegion = 8;
    } else // region 456
    {
      if (y > RTop)
        currentRegion = 4;
      else if (y < RBottom)
        currentRegion = 6;
      else
        currentRegion = 5;
    }
    
    /*
      Watch out, the next part is very tricky. It modifies the curve such that it seems like the
      whole thing is still drawn, but actually the points outside the axisRect are simplified
      ("optimized") greatly. There are some subtle special cases when line segments are large and
      thereby each subsequent point may be in a different region or even skip some.
    */
    // determine whether to keep current point:
    if (currentRegion == 5 || (firstPoint && mBrush.style() != Qt::NoBrush)) // current is in R, add current and last if it wasn't added already
    {
      if (!addedLastAlready) // in case curve just entered R, make sure the last point outside R is also drawn correctly
        lineData->append(coordsToPixels((it-1).value().key, (it-1).value().value)); // add last point to vector
      else if (lastRegion != 5) // added last already. If that's the case, we probably added it at optimized position. So go back and make sure it's at original position (else the angle changes under which this segment enters R)
      {
        if (!firstPoint) // because on firstPoint, currentRegion is 5 and addedLastAlready is true, although there is no last point
          lineData->replace(lineData->size()-1, coordsToPixels((it-1).value().key, (it-1).value().value));
      }
      lineData->append(coordsToPixels(it.value().key, it.value().value)); // add current point to vector
      addedLastAlready = true; // so in next iteration, we don't add this point twice
    } else if (currentRegion != lastRegion) // changed region, add current and last if not added already
    {
      // using outsideCoordsToPixels instead of coorsToPixels for optimized point placement (places points just outside axisRect instead of potentially far away)
      
      // if we're coming from R or we skip diagonally over the corner regions (so line might still be visible in R), we can't place points optimized
      if (lastRegion == 5 || // coming from R
          ((lastRegion==2 && currentRegion==4) || (lastRegion==4 && currentRegion==2)) || // skip top left diagonal
          ((lastRegion==4 && currentRegion==8) || (lastRegion==8 && currentRegion==4)) || // skip top right diagonal
          ((lastRegion==8 && currentRegion==6) || (lastRegion==6 && currentRegion==8)) || // skip bottom right diagonal
          ((lastRegion==6 && currentRegion==2) || (lastRegion==2 && currentRegion==6))    // skip bottom left diagonal
          )
      {
        // always add last point if not added already, original:
        if (!addedLastAlready)
          lineData->append(coordsToPixels((it-1).value().key, (it-1).value().value));
        // add current point, original:
        lineData->append(coordsToPixels(it.value().key, it.value().value));
      } else // no special case that forbids optimized point placement, so do it:
      {
        // always add last point if not added already, optimized:
        if (!addedLastAlready)
          lineData->append(outsideCoordsToPixels((it-1).value().key, (it-1).value().value, currentRegion, axisRect));
        // add current point, optimized:
        lineData->append(outsideCoordsToPixels(it.value().key, it.value().value, currentRegion, axisRect));
      }
      addedLastAlready = true; // so that if next point enters 5, or crosses another region boundary, we don't add this point twice
    } else // neither in R, nor crossed a region boundary, skip current point
    {
      addedLastAlready = false;
    }
    lastRegion = currentRegion;
    firstPoint = false;
  }
  // If curve ends outside R, we want to add very last point so the fill looks like it should when the curve started inside R:
  if (lastRegion != 5 && mBrush.style() != Qt::NoBrush && !mData->isEmpty())
    lineData->append(coordsToPixels((mData->constEnd()-1).value().key, (mData->constEnd()-1).value().value));
}
 
double QCPCurve::pointDistance(const QPointF &pixelPoint) const
{
  if (mData->isEmpty())
  {
    qDebug() << Q_FUNC_INFO << "requested point distance on curve" << mName << "without data";
    return 500;
  }
  if (mData->size() == 1)
  {
    QPointF dataPoint = coordsToPixels(mData->constBegin().key(), mData->constBegin().value().value);
    return QVector2D(dataPoint-pixelPoint).length();
  }
  
  // calculate minimum distance to line segments:
  QVector<QPointF> *lineData = new QVector<QPointF>;
  getCurveData(lineData);
  double minDistSqr = std::numeric_limits<double>::max();
  for (int i=0; i<lineData->size()-1; ++i)
  {
    double currentDistSqr = distSqrToLine(lineData->at(i), lineData->at(i+1), pixelPoint);
    if (currentDistSqr < minDistSqr)
      minDistSqr = currentDistSqr;
  }
  delete lineData;
  return sqrt(minDistSqr);
}
 
QPointF QCPCurve::outsideCoordsToPixels(double key, double value, int region, QRect axisRect) const
{
  int margin = qCeil(qMax(mScatterStyle.size(), (double)mPen.widthF())) + 2;
  QPointF result = coordsToPixels(key, value);
  switch (region)
  {
    case 2: result.setX(axisRect.left()-margin); break; // left
    case 8: result.setX(axisRect.right()+margin); break; // right
    case 4: result.setY(axisRect.top()-margin); break; // top
    case 6: result.setY(axisRect.bottom()+margin); break; // bottom
    case 1: result.setX(axisRect.left()-margin);
            result.setY(axisRect.top()-margin); break; // top left
    case 7: result.setX(axisRect.right()+margin);
            result.setY(axisRect.top()-margin); break; // top right
    case 9: result.setX(axisRect.right()+margin);
            result.setY(axisRect.bottom()+margin); break; // bottom right
    case 3: result.setX(axisRect.left()-margin);
            result.setY(axisRect.bottom()+margin); break; // bottom left
  }
  return result;
}
 
/* inherits documentation from base class */
QCPRange QCPCurve::getKeyRange(bool &foundRange, SignDomain inSignDomain) const
{
  QCPRange range;
  bool haveLower = false;
  bool haveUpper = false;
  
  double current;
  
  QCPCurveDataMap::const_iterator it = mData->constBegin();
  while (it != mData->constEnd())
  {
    current = it.value().key;
    if (inSignDomain == sdBoth || (inSignDomain == sdNegative && current < 0) || (inSignDomain == sdPositive && current > 0))
    {
      if (current < range.lower || !haveLower)
      {
        range.lower = current;
        haveLower = true;
      }
      if (current > range.upper || !haveUpper)
      {
        range.upper = current;
        haveUpper = true;
      }
    }
    ++it;
  }
  
  foundRange = haveLower && haveUpper;
  return range;
}
 
/* inherits documentation from base class */
QCPRange QCPCurve::getValueRange(bool &foundRange, SignDomain inSignDomain) const
{
  QCPRange range;
  bool haveLower = false;
  bool haveUpper = false;
  
  double current;
  
  QCPCurveDataMap::const_iterator it = mData->constBegin();
  while (it != mData->constEnd())
  {
    current = it.value().value;
    if (inSignDomain == sdBoth || (inSignDomain == sdNegative && current < 0) || (inSignDomain == sdPositive && current > 0))
    {
      if (current < range.lower || !haveLower)
      {
        range.lower = current;
        haveLower = true;
      }
      if (current > range.upper || !haveUpper)
      {
        range.upper = current;
        haveUpper = true;
      }
    }
    ++it;
  }
  
  foundRange = haveLower && haveUpper;
  return range;
}
 
 
 
QCPBarData::QCPBarData() :
  key(0),
  value(0)
{
}
 
QCPBarData::QCPBarData(double key, double value) :
  key(key),
  value(value)
{
}
 
 
 
QCPBars::QCPBars(QCPAxis *keyAxis, QCPAxis *valueAxis) :
  QCPAbstractPlottable(keyAxis, valueAxis)
{
  mData = new QCPBarDataMap;
  mPen.setColor(Qt::blue);
  mPen.setStyle(Qt::SolidLine);
  mBrush.setColor(QColor(40, 50, 255, 30));
  mBrush.setStyle(Qt::SolidPattern);
  mSelectedPen = mPen;
  mSelectedPen.setWidthF(2.5);
  mSelectedPen.setColor(QColor(80, 80, 255)); // lighter than Qt::blue of mPen
  mSelectedBrush = mBrush;
  
  mWidth = 0.75;
}
 
QCPBars::~QCPBars()
{
  if (mBarBelow || mBarAbove)
    connectBars(mBarBelow.data(), mBarAbove.data()); // take this bar out of any stacking
  delete mData;
}
 
void QCPBars::setWidth(double width)
{
  mWidth = width;
}
 
void QCPBars::setData(QCPBarDataMap *data, bool copy)
{
  if (copy)
  {
    *mData = *data;
  } else
  {
    delete mData;
    mData = data;
  }
}
 
void QCPBars::setData(const QVector<double> &key, const QVector<double> &value)
{
  mData->clear();
  int n = key.size();
  n = qMin(n, value.size());
  QCPBarData newData;
  for (int i=0; i<n; ++i)
  {
    newData.key = key[i];
    newData.value = value[i];
    mData->insertMulti(newData.key, newData);
  }
}
 
void QCPBars::moveBelow(QCPBars *bars)
{
  if (bars == this) return;
  if (bars && (bars->keyAxis() != mKeyAxis.data() || bars->valueAxis() != mValueAxis.data()))
  {
    qDebug() << Q_FUNC_INFO << "passed QCPBars* doesn't have same key and value axis as this QCPBars";
    return;
  }
  // remove from stacking:
  connectBars(mBarBelow.data(), mBarAbove.data()); // Note: also works if one (or both) of them is 0
  // if new bar given, insert this bar below it:
  if (bars)
  {
    if (bars->mBarBelow)
      connectBars(bars->mBarBelow.data(), this);
    connectBars(this, bars);
  }
}
 
void QCPBars::moveAbove(QCPBars *bars)
{
  if (bars == this) return;
  if (bars && (bars->keyAxis() != mKeyAxis.data() || bars->valueAxis() != mValueAxis.data()))
  {
    qDebug() << Q_FUNC_INFO << "passed QCPBars* doesn't have same key and value axis as this QCPBars";
    return;
  }
  // remove from stacking:
  connectBars(mBarBelow.data(), mBarAbove.data()); // Note: also works if one (or both) of them is 0
  // if new bar given, insert this bar above it:
  if (bars)
  {
    if (bars->mBarAbove)
      connectBars(this, bars->mBarAbove.data());
    connectBars(bars, this);
  }
}
 
void QCPBars::addData(const QCPBarDataMap &dataMap)
{
  mData->unite(dataMap);
}
 
void QCPBars::addData(const QCPBarData &data)
{
  mData->insertMulti(data.key, data);
}
 
void QCPBars::addData(double key, double value)
{
  QCPBarData newData;
  newData.key = key;
  newData.value = value;
  mData->insertMulti(newData.key, newData);
}
 
void QCPBars::addData(const QVector<double> &keys, const QVector<double> &values)
{
  int n = keys.size();
  n = qMin(n, values.size());
  QCPBarData newData;
  for (int i=0; i<n; ++i)
  {
    newData.key = keys[i];
    newData.value = values[i];
    mData->insertMulti(newData.key, newData);
  }
}
 
void QCPBars::removeDataBefore(double key)
{
  QCPBarDataMap::iterator it = mData->begin();
  while (it != mData->end() && it.key() < key)
    it = mData->erase(it);
}
 
void QCPBars::removeDataAfter(double key)
{
  if (mData->isEmpty()) return;
  QCPBarDataMap::iterator it = mData->upperBound(key);
  while (it != mData->end())
    it = mData->erase(it);
}
 
void QCPBars::removeData(double fromKey, double toKey)
{
  if (fromKey >= toKey || mData->isEmpty()) return;
  QCPBarDataMap::iterator it = mData->upperBound(fromKey);
  QCPBarDataMap::iterator itEnd = mData->upperBound(toKey);
  while (it != itEnd)
    it = mData->erase(it);
}
 
void QCPBars::removeData(double key)
{
  mData->remove(key);
}
 
void QCPBars::clearData()
{
  mData->clear();
}
 
/* inherits documentation from base class */
double QCPBars::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  if (onlySelectable && !mSelectable)
    return -1;
  if (!mKeyAxis || !mValueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return -1; }
  
  if (mKeyAxis.data()->axisRect()->rect().contains(pos.toPoint()))
  {
    QCPBarDataMap::ConstIterator it;
    double posKey, posValue;
    pixelsToCoords(pos, posKey, posValue);
    for (it = mData->constBegin(); it != mData->constEnd(); ++it)
    {
      double baseValue = getBaseValue(it.key(), it.value().value >=0);
      QCPRange keyRange(it.key()-mWidth*0.5, it.key()+mWidth*0.5);
      QCPRange valueRange(baseValue, baseValue+it.value().value);
      if (keyRange.contains(posKey) && valueRange.contains(posValue))
        return mParentPlot->selectionTolerance()*0.99;
    }
  }
  return -1;
}
 
/* inherits documentation from base class */
void QCPBars::draw(QCPPainter *painter)
{
  if (!mKeyAxis || !mValueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return; }
  if (mData->isEmpty()) return;
  
  QCPBarDataMap::const_iterator it;
  for (it = mData->constBegin(); it != mData->constEnd(); ++it)
  {
    // skip bar if not visible in key axis range:
    if (it.key()+mWidth*0.5 < mKeyAxis.data()->range().lower || it.key()-mWidth*0.5 > mKeyAxis.data()->range().upper)
      continue;
    // check data validity if flag set:
#ifdef QCUSTOMPLOT_CHECK_DATA
    if (QCP::isInvalidData(it.value().key, it.value().value))
      qDebug() << Q_FUNC_INFO << "Data point at" << it.key() << "of drawn range invalid." << "Plottable name:" << name();
#endif
    QPolygonF barPolygon = getBarPolygon(it.key(), it.value().value);
    // draw bar fill:
    if (mainBrush().style() != Qt::NoBrush && mainBrush().color().alpha() != 0)
    {
      applyFillAntialiasingHint(painter);
      painter->setPen(Qt::NoPen);
      painter->setBrush(mainBrush());
      painter->drawPolygon(barPolygon);
    }
    // draw bar line:
    if (mainPen().style() != Qt::NoPen && mainPen().color().alpha() != 0)
    {
      applyDefaultAntialiasingHint(painter);
      painter->setPen(mainPen());
      painter->setBrush(Qt::NoBrush);
      painter->drawPolyline(barPolygon);
    }
  }
}
 
/* inherits documentation from base class */
void QCPBars::drawLegendIcon(QCPPainter *painter, const QRectF &rect) const
{
  // draw filled rect:
  applyDefaultAntialiasingHint(painter);
  painter->setBrush(mBrush);
  painter->setPen(mPen);
  QRectF r = QRectF(0, 0, rect.width()*0.67, rect.height()*0.67);
  r.moveCenter(rect.center());
  painter->drawRect(r);
}
 
QPolygonF QCPBars::getBarPolygon(double key, double value) const
{
  QPolygonF result;
  double baseValue = getBaseValue(key, value >= 0);
  result << coordsToPixels(key-mWidth*0.5, baseValue);
  result << coordsToPixels(key-mWidth*0.5, baseValue+value);
  result << coordsToPixels(key+mWidth*0.5, baseValue+value);
  result << coordsToPixels(key+mWidth*0.5, baseValue);
  return result;
}
 
double QCPBars::getBaseValue(double key, bool positive) const
{
  if (mBarBelow)
  {
    double max = 0;
    // find bars of mBarBelow that are approximately at key and find largest one:
    QCPBarDataMap::const_iterator it = mBarBelow.data()->mData->lowerBound(key-mWidth*0.1);
    QCPBarDataMap::const_iterator itEnd = mBarBelow.data()->mData->upperBound(key+mWidth*0.1);
    while (it != itEnd)
    {
      if ((positive && it.value().value > max) ||
          (!positive && it.value().value < max))
        max = it.value().value;
      ++it;
    }
    // recurse down the bar-stack to find the total height:
    return max + mBarBelow.data()->getBaseValue(key, positive);
  } else
    return 0;
}
 
void QCPBars::connectBars(QCPBars *lower, QCPBars *upper)
{
  if (!lower && !upper) return;
  
  if (!lower) // disconnect upper at bottom
  {
    // disconnect old bar below upper:
    if (upper->mBarBelow && upper->mBarBelow.data()->mBarAbove.data() == upper)
      upper->mBarBelow.data()->mBarAbove = 0;
    upper->mBarBelow = 0;
  } else if (!upper) // disconnect lower at top
  {
    // disconnect old bar above lower:
    if (lower->mBarAbove && lower->mBarAbove.data()->mBarBelow.data() == lower)
      lower->mBarAbove.data()->mBarBelow = 0;
    lower->mBarAbove = 0;
  } else // connect lower and upper
  {
    // disconnect old bar above lower:
    if (lower->mBarAbove && lower->mBarAbove.data()->mBarBelow.data() == lower)
      lower->mBarAbove.data()->mBarBelow = 0;
    // disconnect old bar below upper:
    if (upper->mBarBelow && upper->mBarBelow.data()->mBarAbove.data() == upper)
      upper->mBarBelow.data()->mBarAbove = 0;
    lower->mBarAbove = upper;
    upper->mBarBelow = lower;
  }
}
 
/* inherits documentation from base class */
QCPRange QCPBars::getKeyRange(bool &foundRange, SignDomain inSignDomain) const
{
  QCPRange range;
  bool haveLower = false;
  bool haveUpper = false;
  
  double current;
  double barWidthHalf = mWidth*0.5;
  QCPBarDataMap::const_iterator it = mData->constBegin();
  while (it != mData->constEnd())
  {
    current = it.value().key;
    if (inSignDomain == sdBoth || (inSignDomain == sdNegative && current+barWidthHalf < 0) || (inSignDomain == sdPositive && current-barWidthHalf > 0))
    {
      if (current-barWidthHalf < range.lower || !haveLower)
      {
        range.lower = current-barWidthHalf;
        haveLower = true;
      }
      if (current+barWidthHalf > range.upper || !haveUpper)
      {
        range.upper = current+barWidthHalf;
        haveUpper = true;
      }
    }
    ++it;
  }
  
  foundRange = haveLower && haveUpper;
  return range;
}
 
/* inherits documentation from base class */
QCPRange QCPBars::getValueRange(bool &foundRange, SignDomain inSignDomain) const
{
  QCPRange range;
  bool haveLower = true; // set to true, because 0 should always be visible in bar charts
  bool haveUpper = true; // set to true, because 0 should always be visible in bar charts
  
  double current;
  
  QCPBarDataMap::const_iterator it = mData->constBegin();
  while (it != mData->constEnd())
  {
    current = it.value().value + getBaseValue(it.value().key, it.value().value >= 0);
    if (inSignDomain == sdBoth || (inSignDomain == sdNegative && current < 0) || (inSignDomain == sdPositive && current > 0))
    {
      if (current < range.lower || !haveLower)
      {
        range.lower = current;
        haveLower = true;
      }
      if (current > range.upper || !haveUpper)
      {
        range.upper = current;
        haveUpper = true;
      }
    }
    ++it;
  }
  
  foundRange = true; // return true because bar charts always have the 0-line visible
  return range;
}
 
 
 
QCPStatisticalBox::QCPStatisticalBox(QCPAxis *keyAxis, QCPAxis *valueAxis) :
  QCPAbstractPlottable(keyAxis, valueAxis),
  mKey(0),
  mMinimum(0),
  mLowerQuartile(0),
  mMedian(0),
  mUpperQuartile(0),
  mMaximum(0)
{
  setOutlierStyle(QCPScatterStyle(QCPScatterStyle::ssCircle, Qt::blue, 6));
  setWhiskerWidth(0.2);
  setWidth(0.5);
  
  setPen(QPen(Qt::black));
  setSelectedPen(QPen(Qt::blue, 2.5));
  setMedianPen(QPen(Qt::black, 3, Qt::SolidLine, Qt::FlatCap));
  setWhiskerPen(QPen(Qt::black, 0, Qt::DashLine, Qt::FlatCap));
  setWhiskerBarPen(QPen(Qt::black));
  setBrush(Qt::NoBrush);
  setSelectedBrush(Qt::NoBrush);
}
 
void QCPStatisticalBox::setKey(double key)
{
  mKey = key;
}
 
void QCPStatisticalBox::setMinimum(double value)
{
  mMinimum = value;
}
 
void QCPStatisticalBox::setLowerQuartile(double value)
{
  mLowerQuartile = value;
}
 
void QCPStatisticalBox::setMedian(double value)
{
  mMedian = value;
}
 
void QCPStatisticalBox::setUpperQuartile(double value)
{
  mUpperQuartile = value;
}
 
void QCPStatisticalBox::setMaximum(double value)
{
  mMaximum = value;
}
 
void QCPStatisticalBox::setOutliers(const QVector<double> &values)
{
  mOutliers = values;
}
 
void QCPStatisticalBox::setData(double key, double minimum, double lowerQuartile, double median, double upperQuartile, double maximum)
{
  setKey(key);
  setMinimum(minimum);
  setLowerQuartile(lowerQuartile);
  setMedian(median);
  setUpperQuartile(upperQuartile);
  setMaximum(maximum);
}
 
void QCPStatisticalBox::setWidth(double width)
{
  mWidth = width;
}
 
void QCPStatisticalBox::setWhiskerWidth(double width)
{
  mWhiskerWidth = width;
}
 
void QCPStatisticalBox::setWhiskerPen(const QPen &pen)
{
  mWhiskerPen = pen;
}
 
void QCPStatisticalBox::setWhiskerBarPen(const QPen &pen)
{
  mWhiskerBarPen = pen;
}
 
void QCPStatisticalBox::setMedianPen(const QPen &pen)
{
  mMedianPen = pen;
}
 
void QCPStatisticalBox::setOutlierStyle(const QCPScatterStyle &style)
{
  mOutlierStyle = style;
}
 
/* inherits documentation from base class */
void QCPStatisticalBox::clearData()
{
  setOutliers(QVector<double>());
  setKey(0);
  setMinimum(0);
  setLowerQuartile(0);
  setMedian(0);
  setUpperQuartile(0);
  setMaximum(0);
}
 
/* inherits documentation from base class */
double QCPStatisticalBox::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  if (onlySelectable && !mSelectable)
    return -1;
  if (!mKeyAxis || !mValueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return -1; }
  
  if (mKeyAxis.data()->axisRect()->rect().contains(pos.toPoint()))
  {
    double posKey, posValue;
    pixelsToCoords(pos, posKey, posValue);
    // quartile box:
    QCPRange keyRange(mKey-mWidth*0.5, mKey+mWidth*0.5);
    QCPRange valueRange(mLowerQuartile, mUpperQuartile);
    if (keyRange.contains(posKey) && valueRange.contains(posValue))
      return mParentPlot->selectionTolerance()*0.99;
    
    // min/max whiskers:
    if (QCPRange(mMinimum, mMaximum).contains(posValue))
      return qAbs(mKeyAxis.data()->coordToPixel(mKey)-mKeyAxis.data()->coordToPixel(posKey));
  }
  return -1;
}
 
/* inherits documentation from base class */
void QCPStatisticalBox::draw(QCPPainter *painter)
{
  if (!mKeyAxis || !mValueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return; }
 
  // check data validity if flag set:
#ifdef QCUSTOMPLOT_CHECK_DATA
  if (QCP::isInvalidData(mKey, mMedian) ||
      QCP::isInvalidData(mLowerQuartile, mUpperQuartile) ||
      QCP::isInvalidData(mMinimum, mMaximum))
    qDebug() << Q_FUNC_INFO << "Data point at" << mKey << "of drawn range has invalid data." << "Plottable name:" << name();
  for (int i=0; i<mOutliers.size(); ++i)
    if (QCP::isInvalidData(mOutliers.at(i)))
      qDebug() << Q_FUNC_INFO << "Data point outlier at" << mKey << "of drawn range invalid." << "Plottable name:" << name();
#endif
  
  QRectF quartileBox;
  drawQuartileBox(painter, &quartileBox);
  
  painter->save();
  painter->setClipRect(quartileBox, Qt::IntersectClip);
  drawMedian(painter);
  painter->restore();
  
  drawWhiskers(painter);
  drawOutliers(painter);
}
 
/* inherits documentation from base class */
void QCPStatisticalBox::drawLegendIcon(QCPPainter *painter, const QRectF &rect) const
{
  // draw filled rect:
  applyDefaultAntialiasingHint(painter);
  painter->setPen(mPen);
  painter->setBrush(mBrush);
  QRectF r = QRectF(0, 0, rect.width()*0.67, rect.height()*0.67);
  r.moveCenter(rect.center());
  painter->drawRect(r);
}
 
void QCPStatisticalBox::drawQuartileBox(QCPPainter *painter, QRectF *quartileBox) const
{
  QRectF box;
  box.setTopLeft(coordsToPixels(mKey-mWidth*0.5, mUpperQuartile));
  box.setBottomRight(coordsToPixels(mKey+mWidth*0.5, mLowerQuartile));
  applyDefaultAntialiasingHint(painter);
  painter->setPen(mainPen());
  painter->setBrush(mainBrush());
  painter->drawRect(box);
  if (quartileBox)
    *quartileBox = box;
}
 
void QCPStatisticalBox::drawMedian(QCPPainter *painter) const
{
  QLineF medianLine;
  medianLine.setP1(coordsToPixels(mKey-mWidth*0.5, mMedian));
  medianLine.setP2(coordsToPixels(mKey+mWidth*0.5, mMedian));
  applyDefaultAntialiasingHint(painter);
  painter->setPen(mMedianPen);
  painter->drawLine(medianLine);
}
 
void QCPStatisticalBox::drawWhiskers(QCPPainter *painter) const
{
  QLineF backboneMin, backboneMax, barMin, barMax;
  backboneMax.setPoints(coordsToPixels(mKey, mUpperQuartile), coordsToPixels(mKey, mMaximum));
  backboneMin.setPoints(coordsToPixels(mKey, mLowerQuartile), coordsToPixels(mKey, mMinimum));
  barMax.setPoints(coordsToPixels(mKey-mWhiskerWidth*0.5, mMaximum), coordsToPixels(mKey+mWhiskerWidth*0.5, mMaximum));
  barMin.setPoints(coordsToPixels(mKey-mWhiskerWidth*0.5, mMinimum), coordsToPixels(mKey+mWhiskerWidth*0.5, mMinimum));
  applyErrorBarsAntialiasingHint(painter);
  painter->setPen(mWhiskerPen);
  painter->drawLine(backboneMin);
  painter->drawLine(backboneMax);
  painter->setPen(mWhiskerBarPen);
  painter->drawLine(barMin);
  painter->drawLine(barMax);
}
 
void QCPStatisticalBox::drawOutliers(QCPPainter *painter) const
{
  applyScattersAntialiasingHint(painter);
  mOutlierStyle.applyTo(painter, mPen);
  for (int i=0; i<mOutliers.size(); ++i)
    mOutlierStyle.drawShape(painter, coordsToPixels(mKey, mOutliers.at(i)));
}
 
/* inherits documentation from base class */
QCPRange QCPStatisticalBox::getKeyRange(bool &foundRange, SignDomain inSignDomain) const
{
  foundRange = true;
  if (inSignDomain == sdBoth)
  {
    return QCPRange(mKey-mWidth*0.5, mKey+mWidth*0.5);
  } else if (inSignDomain == sdNegative)
  {
    if (mKey+mWidth*0.5 < 0)
      return QCPRange(mKey-mWidth*0.5, mKey+mWidth*0.5);
    else if (mKey < 0)
      return QCPRange(mKey-mWidth*0.5, mKey);
    else
    {
      foundRange = false;
      return QCPRange();
    }
  } else if (inSignDomain == sdPositive)
  {
    if (mKey-mWidth*0.5 > 0)
      return QCPRange(mKey-mWidth*0.5, mKey+mWidth*0.5);
    else if (mKey > 0)
      return QCPRange(mKey, mKey+mWidth*0.5);
    else
    {
      foundRange = false;
      return QCPRange();
    }
  }
  foundRange = false;
  return QCPRange();
}
 
/* inherits documentation from base class */
QCPRange QCPStatisticalBox::getValueRange(bool &foundRange, SignDomain inSignDomain) const
{
  QVector<double> values; // values that must be considered (i.e. all outliers and the five box-parameters)
  values.reserve(mOutliers.size() + 5);
  values << mMaximum << mUpperQuartile << mMedian << mLowerQuartile << mMinimum;
  values << mOutliers;
  // go through values and find the ones in legal range:
  bool haveUpper = false;
  bool haveLower = false;
  double upper = 0;
  double lower = 0;
  for (int i=0; i<values.size(); ++i)
  {
    if ((inSignDomain == sdNegative && values.at(i) < 0) ||
        (inSignDomain == sdPositive && values.at(i) > 0) ||
        (inSignDomain == sdBoth))
    {
      if (values.at(i) > upper || !haveUpper)
      {
        upper = values.at(i);
        haveUpper = true;
      }
      if (values.at(i) < lower || !haveLower)
      {
        lower = values.at(i);
        haveLower = true;
      }
    }
  }
  // return the bounds if we found some sensible values:
  if (haveLower && haveUpper)
  {
    foundRange = true;
    return QCPRange(lower, upper);
  } else // might happen if all values are in other sign domain
  {
    foundRange = false;
    return QCPRange();
  }
}
 
 
 
/* start of documentation of inline functions */
 
/* end of documentation of inline functions */
 
QCPColorMapData::QCPColorMapData(int keySize, int valueSize, const QCPRange &keyRange, const QCPRange &valueRange) :
  mKeySize(0),
  mValueSize(0),
  mKeyRange(keyRange),
  mValueRange(valueRange),
  mIsEmpty(true),
  mData(0),
  mDataModified(true)
{
  setSize(keySize, valueSize);
  fill(0);
}
 
QCPColorMapData::~QCPColorMapData()
{
  if (mData)
    delete[] mData;
}
 
QCPColorMapData::QCPColorMapData(const QCPColorMapData &other) :
  mKeySize(0),
  mValueSize(0),
  mIsEmpty(true),
  mData(0),
  mDataModified(true)
{
  *this = other;
}
 
QCPColorMapData &QCPColorMapData::operator=(const QCPColorMapData &other)
{
  if (&other != this)
  {
    const int keySize = other.keySize();
    const int valueSize = other.valueSize();
    setSize(keySize, valueSize);
    setRange(other.keyRange(), other.valueRange());
    if (!mIsEmpty)
      memcpy(mData, other.mData, sizeof(mData[0])*keySize*valueSize);
    mDataBounds = other.mDataBounds;
    mDataModified = true;
  }
  return *this;
}
 
/* undocumented getter */
double QCPColorMapData::data(double key, double value)
{
  int keyCell = (key-mKeyRange.lower)/(mKeyRange.upper-mKeyRange.lower)*(mKeySize-1)+0.5;
  int valueCell = (1.0-(value-mValueRange.lower)/(mValueRange.upper-mValueRange.lower))*(mValueSize-1)+0.5;
  if (keyCell >= 0 && keyCell < mKeySize && valueCell >= 0 && valueCell < mValueSize)
    return mData[valueCell*mKeySize + keyCell];
  else
    return 0;
}
 
/* undocumented getter */
double QCPColorMapData::cell(int keyIndex, int valueIndex)
{
  if (keyIndex >= 0 && keyIndex < mKeySize && valueIndex >= 0 && valueIndex < mValueSize)
    return mData[valueIndex*mKeySize + keyIndex];
  else
    return 0;
}
 
void QCPColorMapData::setSize(int keySize, int valueSize)
{
  if (keySize != mKeySize || valueSize != mValueSize)
  {
    mKeySize = keySize;
    mValueSize = valueSize;
    if (mData)
      delete[] mData;
    mIsEmpty = mKeySize == 0 || mValueSize == 0;
    if (!mIsEmpty)
    {
#ifdef __EXCEPTIONS
      try { // 2D arrays get memory intensive fast. So if the allocation fails, at least output debug message
#endif
      mData = new double[mKeySize*mValueSize];
#ifdef __EXCEPTIONS
      } catch (...) { mData = 0; }
#endif
      if (mData)
        fill(0);
      else
        qDebug() << Q_FUNC_INFO << "out of memory for data dimensions "<< mKeySize << "*" << mValueSize;
    } else
      mData = 0;
    mDataModified = true;
  }
}
 
void QCPColorMapData::setKeySize(int keySize)
{
  setSize(keySize, mValueSize);
}
 
void QCPColorMapData::setValueSize(int valueSize)
{
  setSize(mKeySize, valueSize);
}
 
void QCPColorMapData::setRange(const QCPRange &keyRange, const QCPRange &valueRange)
{
  setKeyRange(keyRange);
  setValueRange(valueRange);
}
 
void QCPColorMapData::setKeyRange(const QCPRange &keyRange)
{
  mKeyRange = keyRange;
}
 
void QCPColorMapData::setValueRange(const QCPRange &valueRange)
{
  mValueRange = valueRange;
}
 
void QCPColorMapData::setData(double key, double value, double z)
{
  int keyCell = (key-mKeyRange.lower)/(mKeyRange.upper-mKeyRange.lower)*(mKeySize-1)+0.5;
  int valueCell = (value-mValueRange.lower)/(mValueRange.upper-mValueRange.lower)*(mValueSize-1)+0.5;
  if (keyCell >= 0 && keyCell < mKeySize && valueCell >= 0 && valueCell < mValueSize)
  {
    mData[valueCell*mKeySize + keyCell] = z;
    if (z < mDataBounds.lower)
      mDataBounds.lower = z;
    if (z > mDataBounds.upper)
      mDataBounds.upper = z;
     mDataModified = true;
  }
}
 
void QCPColorMapData::setCell(int keyIndex, int valueIndex, double z)
{
  if (keyIndex >= 0 && keyIndex < mKeySize && valueIndex >= 0 && valueIndex < mValueSize)
  {
    mData[valueIndex*mKeySize + keyIndex] = z;
    if (z < mDataBounds.lower)
      mDataBounds.lower = z;
    if (z > mDataBounds.upper)
      mDataBounds.upper = z;
     mDataModified = true;
  }
}
 
void QCPColorMapData::recalculateDataBounds()
{
  if (mKeySize > 0 && mValueSize > 0)
  {
    double minHeight = mData[0];
    double maxHeight = mData[0];
    const int dataCount = mValueSize*mKeySize;
    for (int i=0; i<dataCount; ++i)
    {
      if (mData[i] > maxHeight)
        maxHeight = mData[i];
      if (mData[i] < minHeight)
        minHeight = mData[i];
    }
    mDataBounds.lower = minHeight;
    mDataBounds.upper = maxHeight;
  }
}
 
void QCPColorMapData::clear()
{
  setSize(0, 0);
}
 
void QCPColorMapData::fill(double z)
{
  const int dataCount = mValueSize*mKeySize;
  for (int i=0; i<dataCount; ++i)
    mData[i] = z;
  mDataBounds = QCPRange(z, z);
}
 
void QCPColorMapData::coordToCell(double key, double value, int *keyIndex, int *valueIndex) const
{
  if (keyIndex)
    *keyIndex = (key-mKeyRange.lower)/(mKeyRange.upper-mKeyRange.lower)*(mKeySize-1)+0.5;
  if (valueIndex)
    *valueIndex = (value-mValueRange.lower)/(mValueRange.upper-mValueRange.lower)*(mValueSize-1)+0.5;
}
 
void QCPColorMapData::cellToCoord(int keyIndex, int valueIndex, double *key, double *value) const
{
  if (key)
    *key = keyIndex/(double)(mKeySize-1)*(mKeyRange.upper-mKeyRange.lower)+mKeyRange.lower;
  if (value)
    *value = valueIndex/(double)(mValueSize-1)*(mValueRange.upper-mValueRange.lower)+mValueRange.lower;
}
 
 
 
/* start documentation of inline functions */
 
/* end documentation of inline functions */
 
/* start documentation of signals */
 
/* end documentation of signals */
 
QCPColorMap::QCPColorMap(QCPAxis *keyAxis, QCPAxis *valueAxis) :
  QCPAbstractPlottable(keyAxis, valueAxis),
  mDataScaleType(QCPAxis::stLinear),
  mMapData(new QCPColorMapData(10, 10, QCPRange(0, 5), QCPRange(0, 5))),
  mInterpolate(true),
  mTightBoundary(false),
  mMapImageInvalidated(true)
{
}
 
QCPColorMap::~QCPColorMap()
{
  delete mMapData;
}
 
void QCPColorMap::setData(QCPColorMapData *data, bool copy)
{
  if (copy)
  {
    *mMapData = *data;
  } else
  {
    delete mMapData;
    mMapData = data;
  }
  mMapImageInvalidated = true;
}
 
void QCPColorMap::setDataRange(const QCPRange &dataRange)
{
  if (!QCPRange::validRange(dataRange)) return;
  if (mDataRange.lower != dataRange.lower || mDataRange.upper != dataRange.upper)
  {
    if (mDataScaleType == QCPAxis::stLogarithmic)
      mDataRange = dataRange.sanitizedForLogScale();
    else
      mDataRange = dataRange.sanitizedForLinScale();
    mMapImageInvalidated = true;
    emit dataRangeChanged(mDataRange);
  }
}
 
void QCPColorMap::setDataScaleType(QCPAxis::ScaleType scaleType)
{
  if (mDataScaleType != scaleType)
  {
    mDataScaleType = scaleType;
    mMapImageInvalidated = true;
    emit dataScaleTypeChanged(mDataScaleType);
    if (mDataScaleType == QCPAxis::stLogarithmic)
      setDataRange(mDataRange.sanitizedForLogScale());
  }
}
 
void QCPColorMap::setGradient(const QCPColorGradient &gradient)
{
  if (mGradient != gradient)
  {
    mGradient = gradient;
    mMapImageInvalidated = true;
    emit gradientChanged(mGradient);
  }
}
 
void QCPColorMap::setInterpolate(bool enabled)
{
  mInterpolate = enabled;
}
 
void QCPColorMap::setTightBoundary(bool enabled)
{
  mTightBoundary = enabled;
}
 
void QCPColorMap::setColorScale(QCPColorScale *colorScale)
{
  if (mColorScale) // unconnect signals from old color scale
  {
    disconnect(this, SIGNAL(dataRangeChanged(QCPRange)), mColorScale.data(), SLOT(setDataRange(QCPRange)));
    disconnect(this, SIGNAL(dataScaleTypeChanged(QCPAxis::ScaleType)), mColorScale.data(), SLOT(setDataScaleType(QCPAxis::ScaleType)));
    disconnect(this, SIGNAL(gradientChanged(QCPColorGradient)), mColorScale.data(), SLOT(setGradient(QCPColorGradient)));
    disconnect(mColorScale.data(), SIGNAL(dataRangeChanged(QCPRange)), this, SLOT(setDataRange(QCPRange)));
    disconnect(mColorScale.data(), SIGNAL(gradientChanged(QCPColorGradient)), this, SLOT(setGradient(QCPColorGradient)));
    disconnect(mColorScale.data(), SIGNAL(dataScaleTypeChanged(QCPAxis::ScaleType)), this, SLOT(setDataScaleType(QCPAxis::ScaleType)));
  }
  mColorScale = colorScale;
  if (mColorScale) // connect signals to new color scale
  {
    setGradient(mColorScale.data()->gradient());
    setDataRange(mColorScale.data()->dataRange());
    setDataScaleType(mColorScale.data()->dataScaleType());
    connect(this, SIGNAL(dataRangeChanged(QCPRange)), mColorScale.data(), SLOT(setDataRange(QCPRange)));
    connect(this, SIGNAL(dataScaleTypeChanged(QCPAxis::ScaleType)), mColorScale.data(), SLOT(setDataScaleType(QCPAxis::ScaleType)));
    connect(this, SIGNAL(gradientChanged(QCPColorGradient)), mColorScale.data(), SLOT(setGradient(QCPColorGradient)));
    connect(mColorScale.data(), SIGNAL(dataRangeChanged(QCPRange)), this, SLOT(setDataRange(QCPRange)));
    connect(mColorScale.data(), SIGNAL(gradientChanged(QCPColorGradient)), this, SLOT(setGradient(QCPColorGradient)));
    connect(mColorScale.data(), SIGNAL(dataScaleTypeChanged(QCPAxis::ScaleType)), this, SLOT(setDataScaleType(QCPAxis::ScaleType)));
  }
}
 
void QCPColorMap::rescaleDataRange(bool recalculateDataBounds)
{
  if (recalculateDataBounds)
    mMapData->recalculateDataBounds();
  setDataRange(mMapData->dataBounds());
}
 
void QCPColorMap::updateLegendIcon(Qt::TransformationMode transformMode, const QSize &thumbSize)
{
  if (mMapImage.isNull() && !data()->isEmpty())
    updateMapImage(); // try to update map image if it's null (happens if no draw has happened yet)
  
  if (!mMapImage.isNull()) // might still be null, e.g. if data is empty, so check here again
  {
    bool mirrorX = (keyAxis()->orientation() == Qt::Horizontal ? keyAxis() : valueAxis())->rangeReversed();
    bool mirrorY = (valueAxis()->orientation() == Qt::Vertical ? valueAxis() : keyAxis())->rangeReversed();
    mLegendIcon = QPixmap::fromImage(mMapImage.mirrored(mirrorX, mirrorY)).scaled(thumbSize, Qt::KeepAspectRatio, transformMode);
  }
}
 
void QCPColorMap::clearData()
{
  mMapData->clear();
}
 
/* inherits documentation from base class */
double QCPColorMap::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  if (onlySelectable && !mSelectable)
    return -1;
  if (!mKeyAxis || !mValueAxis) { qDebug() << Q_FUNC_INFO << "invalid key or value axis"; return -1; }
  
  if (mKeyAxis.data()->axisRect()->rect().contains(pos.toPoint()))
  {
    double posKey, posValue;
    pixelsToCoords(pos, posKey, posValue);
    if (mMapData->keyRange().contains(posKey) && mMapData->valueRange().contains(posValue))
      return mParentPlot->selectionTolerance()*0.99;
  }
  return -1;
}
 
void QCPColorMap::updateMapImage()
{
  QCPAxis *keyAxis = mKeyAxis.data();
  if (!keyAxis) return;
  
  // resize mMapImage to correct dimensions, according to key/value axes orientation:
  if (keyAxis->orientation() == Qt::Horizontal && (mMapImage.size().width() != mMapData->keySize() || mMapImage.size().height() != mMapData->valueSize()))
    mMapImage = QImage(QSize(mMapData->keySize(), mMapData->valueSize()), QImage::Format_RGB32);
  else if (keyAxis->orientation() == Qt::Vertical && (mMapImage.size().width() != mMapData->valueSize() || mMapImage.size().height() != mMapData->keySize()))
    mMapImage = QImage(QSize(mMapData->valueSize(), mMapData->keySize()), QImage::Format_RGB32);
  
  const int keySize = mMapData->keySize();
  const int valueSize = mMapData->valueSize();
  const double *rawData = mMapData->mData;
  
  if (keyAxis->orientation() == Qt::Horizontal)
  {
    const int lineCount = valueSize;
    const int rowCount = keySize;
    for (int line=0; line<lineCount; ++line)
    {
      QRgb* pixels = reinterpret_cast<QRgb*>(mMapImage.scanLine(lineCount-1-line)); // invert scanline index because QImage counts scanlines from top, but our vertical index counts from bottom (mathematical coordinate system)
      mGradient.colorize(rawData+line*rowCount, mDataRange, pixels, rowCount, 1, mDataScaleType==QCPAxis::stLogarithmic);
    }
  } else // keyAxis->orientation() == Qt::Vertical
  {
    const int lineCount = keySize;
    const int rowCount = valueSize;
    for (int line=0; line<lineCount; ++line)
    {
      QRgb* pixels = reinterpret_cast<QRgb*>(mMapImage.scanLine(lineCount-1-line)); // invert scanline index because QImage counts scanlines from top, but our vertical index counts from bottom (mathematical coordinate system)
      mGradient.colorize(rawData+line, mDataRange, pixels, rowCount, lineCount, mDataScaleType==QCPAxis::stLogarithmic);
    }
  }
  
  mMapData->mDataModified = false;
  mMapImageInvalidated = false;
}
 
/* inherits documentation from base class */
void QCPColorMap::draw(QCPPainter *painter)
{
  if (mMapData->isEmpty()) return;
  if (!mKeyAxis || !mValueAxis) return;
  applyDefaultAntialiasingHint(painter);
  
  if (mMapData->mDataModified || mMapImageInvalidated)
    updateMapImage();
  
  double halfSampleKey = 0;
  double halfSampleValue = 0;
  if (mMapData->keySize() > 1)
    halfSampleKey = 0.5*mMapData->keyRange().size()/(double)(mMapData->keySize()-1);
  if (mMapData->valueSize() > 1)
    halfSampleValue = 0.5*mMapData->valueRange().size()/(double)(mMapData->valueSize()-1);
  QRectF imageRect(coordsToPixels(mMapData->keyRange().lower-halfSampleKey, mMapData->valueRange().lower-halfSampleValue),
                   coordsToPixels(mMapData->keyRange().upper+halfSampleKey, mMapData->valueRange().upper+halfSampleValue));
  imageRect = imageRect.normalized();
  bool mirrorX = (keyAxis()->orientation() == Qt::Horizontal ? keyAxis() : valueAxis())->rangeReversed();
  bool mirrorY = (valueAxis()->orientation() == Qt::Vertical ? valueAxis() : keyAxis())->rangeReversed();
  bool smoothBackup = painter->renderHints().testFlag(QPainter::SmoothPixmapTransform);
  painter->setRenderHint(QPainter::SmoothPixmapTransform, mInterpolate);
  QRegion clipBackup;
  if (mTightBoundary)
  {
    clipBackup = painter->clipRegion();
    painter->setClipRect(QRectF(coordsToPixels(mMapData->keyRange().lower, mMapData->valueRange().lower),
                                coordsToPixels(mMapData->keyRange().upper, mMapData->valueRange().upper)).normalized(), Qt::IntersectClip);
  }
  painter->drawImage(imageRect, mMapImage.mirrored(mirrorX, mirrorY));
  if (mTightBoundary)
    painter->setClipRegion(clipBackup);
  painter->setRenderHint(QPainter::SmoothPixmapTransform, smoothBackup);
}
 
/* inherits documentation from base class */
void QCPColorMap::drawLegendIcon(QCPPainter *painter, const QRectF &rect) const
{
  applyDefaultAntialiasingHint(painter);
  // draw map thumbnail:
  if (!mLegendIcon.isNull())
  {
    QPixmap scaledIcon = mLegendIcon.scaled(rect.size().toSize(), Qt::KeepAspectRatio, Qt::FastTransformation);
    QRectF iconRect = QRectF(0, 0, scaledIcon.width(), scaledIcon.height());
    iconRect.moveCenter(rect.center());
    painter->drawPixmap(iconRect.topLeft(), scaledIcon);
  }
  /*
  // draw frame:
  painter->setBrush(Qt::NoBrush);
  painter->setPen(Qt::black);
  painter->drawRect(rect.adjusted(1, 1, 0, 0));
  */
}
 
/* inherits documentation from base class */
QCPRange QCPColorMap::getKeyRange(bool &foundRange, SignDomain inSignDomain) const
{
  foundRange = true;
  QCPRange result = mMapData->keyRange();
  result.normalize();
  if (inSignDomain == QCPAbstractPlottable::sdPositive)
  {
    if (result.lower <= 0 && result.upper > 0)
      result.lower = result.upper*1e-3;
    else if (result.lower <= 0 && result.upper <= 0)
      foundRange = false;
  } else if (inSignDomain == QCPAbstractPlottable::sdNegative)
  {
    if (result.upper >= 0 && result.lower < 0)
      result.upper = result.lower*1e-3;
    else if (result.upper >= 0 && result.lower >= 0)
      foundRange = false;
  }
  return result;
}
 
/* inherits documentation from base class */
QCPRange QCPColorMap::getValueRange(bool &foundRange, SignDomain inSignDomain) const
{
  foundRange = true;
  QCPRange result = mMapData->valueRange();
  result.normalize();
  if (inSignDomain == QCPAbstractPlottable::sdPositive)
  {
    if (result.lower <= 0 && result.upper > 0)
      result.lower = result.upper*1e-3;
    else if (result.lower <= 0 && result.upper <= 0)
      foundRange = false;
  } else if (inSignDomain == QCPAbstractPlottable::sdNegative)
  {
    if (result.upper >= 0 && result.lower < 0)
      result.upper = result.lower*1e-3;
    else if (result.upper >= 0 && result.lower >= 0)
      foundRange = false;
  }
  return result;
}
 
 
 
QCPItemStraightLine::QCPItemStraightLine(QCustomPlot *parentPlot) :
  QCPAbstractItem(parentPlot),
  point1(createPosition("point1")),
  point2(createPosition("point2"))
{
  point1->setCoords(0, 0);
  point2->setCoords(1, 1);
  
  setPen(QPen(Qt::black));
  setSelectedPen(QPen(Qt::blue,2));
}
 
QCPItemStraightLine::~QCPItemStraightLine()
{
}
 
void QCPItemStraightLine::setPen(const QPen &pen)
{
  mPen = pen;
}
 
void QCPItemStraightLine::setSelectedPen(const QPen &pen)
{
  mSelectedPen = pen;
}
 
/* inherits documentation from base class */
double QCPItemStraightLine::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  if (onlySelectable && !mSelectable)
    return -1;
  
  return distToStraightLine(QVector2D(point1->pixelPoint()), QVector2D(point2->pixelPoint()-point1->pixelPoint()), QVector2D(pos));
}
 
/* inherits documentation from base class */
void QCPItemStraightLine::draw(QCPPainter *painter)
{
  QVector2D start(point1->pixelPoint());
  QVector2D end(point2->pixelPoint());
  // get visible segment of straight line inside clipRect:
  double clipPad = mainPen().widthF();
  QLineF line = getRectClippedStraightLine(start, end-start, clipRect().adjusted(-clipPad, -clipPad, clipPad, clipPad));
  // paint visible segment, if existent:
  if (!line.isNull())
  {
    painter->setPen(mainPen());
    painter->drawLine(line);
  }
}
 
double QCPItemStraightLine::distToStraightLine(const QVector2D &base, const QVector2D &vec, const QVector2D &point) const
{
  return qAbs((base.y()-point.y())*vec.x()-(base.x()-point.x())*vec.y())/vec.length();
}
 
QLineF QCPItemStraightLine::getRectClippedStraightLine(const QVector2D &base, const QVector2D &vec, const QRect &rect) const
{
  double bx, by;
  double gamma;
  QLineF result;
  if (vec.x() == 0 && vec.y() == 0)
    return result;
  if (qFuzzyIsNull(vec.x())) // line is vertical
  {
    // check top of rect:
    bx = rect.left();
    by = rect.top();
    gamma = base.x()-bx + (by-base.y())*vec.x()/vec.y();
    if (gamma >= 0 && gamma <= rect.width())
      result.setLine(bx+gamma, rect.top(), bx+gamma, rect.bottom()); // no need to check bottom because we know line is vertical
  } else if (qFuzzyIsNull(vec.y())) // line is horizontal
  {
    // check left of rect:
    bx = rect.left();
    by = rect.top();
    gamma = base.y()-by + (bx-base.x())*vec.y()/vec.x();
    if (gamma >= 0 && gamma <= rect.height())
      result.setLine(rect.left(), by+gamma, rect.right(), by+gamma); // no need to check right because we know line is horizontal
  } else // line is skewed
  {
    QList<QVector2D> pointVectors;
    // check top of rect:
    bx = rect.left();
    by = rect.top();
    gamma = base.x()-bx + (by-base.y())*vec.x()/vec.y();
    if (gamma >= 0 && gamma <= rect.width())
      pointVectors.append(QVector2D(bx+gamma, by));
    // check bottom of rect:
    bx = rect.left();
    by = rect.bottom();
    gamma = base.x()-bx + (by-base.y())*vec.x()/vec.y();
    if (gamma >= 0 && gamma <= rect.width())
      pointVectors.append(QVector2D(bx+gamma, by));
    // check left of rect:
    bx = rect.left();
    by = rect.top();
    gamma = base.y()-by + (bx-base.x())*vec.y()/vec.x();
    if (gamma >= 0 && gamma <= rect.height())
      pointVectors.append(QVector2D(bx, by+gamma));
    // check right of rect:
    bx = rect.right();
    by = rect.top();
    gamma = base.y()-by + (bx-base.x())*vec.y()/vec.x();
    if (gamma >= 0 && gamma <= rect.height())
      pointVectors.append(QVector2D(bx, by+gamma));
    
    // evaluate points:
    if (pointVectors.size() == 2)
    {
      result.setPoints(pointVectors.at(0).toPointF(), pointVectors.at(1).toPointF());
    } else if (pointVectors.size() > 2)
    {
      // line probably goes through corner of rect, and we got two points there. single out the point pair with greatest distance:
      double distSqrMax = 0;
      QVector2D pv1, pv2;
      for (int i=0; i<pointVectors.size()-1; ++i)
      {
        for (int k=i+1; k<pointVectors.size(); ++k)
        {
          double distSqr = (pointVectors.at(i)-pointVectors.at(k)).lengthSquared();
          if (distSqr > distSqrMax)
          {
            pv1 = pointVectors.at(i);
            pv2 = pointVectors.at(k);
            distSqrMax = distSqr;
          }
        }
      }
      result.setPoints(pv1.toPointF(), pv2.toPointF());
    }
  }
  return result;
}
 
QPen QCPItemStraightLine::mainPen() const
{
  return mSelected ? mSelectedPen : mPen;
}
 
 
 
QCPItemLine::QCPItemLine(QCustomPlot *parentPlot) :
  QCPAbstractItem(parentPlot),
  start(createPosition("start")),
  end(createPosition("end"))
{
  start->setCoords(0, 0);
  end->setCoords(1, 1);
  
  setPen(QPen(Qt::black));
  setSelectedPen(QPen(Qt::blue,2));
}
 
QCPItemLine::~QCPItemLine()
{
}
 
void QCPItemLine::setPen(const QPen &pen)
{
  mPen = pen;
}
 
void QCPItemLine::setSelectedPen(const QPen &pen)
{
  mSelectedPen = pen;
}
 
void QCPItemLine::setHead(const QCPLineEnding &head)
{
  mHead = head;
}
 
void QCPItemLine::setTail(const QCPLineEnding &tail)
{
  mTail = tail;
}
 
/* inherits documentation from base class */
double QCPItemLine::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  if (onlySelectable && !mSelectable)
    return -1;
  
  return qSqrt(distSqrToLine(start->pixelPoint(), end->pixelPoint(), pos));
}
 
/* inherits documentation from base class */
void QCPItemLine::draw(QCPPainter *painter)
{
  QVector2D startVec(start->pixelPoint());
  QVector2D endVec(end->pixelPoint());
  if (startVec.toPoint() == endVec.toPoint())
    return;
  // get visible segment of straight line inside clipRect:
  double clipPad = qMax(mHead.boundingDistance(), mTail.boundingDistance());
  clipPad = qMax(clipPad, (double)mainPen().widthF());
  QLineF line = getRectClippedLine(startVec, endVec, clipRect().adjusted(-clipPad, -clipPad, clipPad, clipPad));
  // paint visible segment, if existent:
  if (!line.isNull())
  {
    painter->setPen(mainPen());
    painter->drawLine(line);
    painter->setBrush(Qt::SolidPattern);
    if (mTail.style() != QCPLineEnding::esNone)
      mTail.draw(painter, startVec, startVec-endVec);
    if (mHead.style() != QCPLineEnding::esNone)
      mHead.draw(painter, endVec, endVec-startVec);
  }
}
 
QLineF QCPItemLine::getRectClippedLine(const QVector2D &start, const QVector2D &end, const QRect &rect) const
{
  bool containsStart = rect.contains(start.x(), start.y());
  bool containsEnd = rect.contains(end.x(), end.y());
  if (containsStart && containsEnd)
    return QLineF(start.toPointF(), end.toPointF());
  
  QVector2D base = start;
  QVector2D vec = end-start;
  double bx, by;
  double gamma, mu;
  QLineF result;
  QList<QVector2D> pointVectors;
 
  if (!qFuzzyIsNull(vec.y())) // line is not horizontal
  {
    // check top of rect:
    bx = rect.left();
    by = rect.top();
    mu = (by-base.y())/vec.y();
    if (mu >= 0 && mu <= 1)
    {
      gamma = base.x()-bx + mu*vec.x();
      if (gamma >= 0 && gamma <= rect.width())
        pointVectors.append(QVector2D(bx+gamma, by));
    }
    // check bottom of rect:
    bx = rect.left();
    by = rect.bottom();
    mu = (by-base.y())/vec.y();
    if (mu >= 0 && mu <= 1)
    {
      gamma = base.x()-bx + mu*vec.x();
      if (gamma >= 0 && gamma <= rect.width())
        pointVectors.append(QVector2D(bx+gamma, by));
    }
  }
  if (!qFuzzyIsNull(vec.x())) // line is not vertical
  {
    // check left of rect:
    bx = rect.left();
    by = rect.top();
    mu = (bx-base.x())/vec.x();
    if (mu >= 0 && mu <= 1)
    {
      gamma = base.y()-by + mu*vec.y();
      if (gamma >= 0 && gamma <= rect.height())
        pointVectors.append(QVector2D(bx, by+gamma));
    }
    // check right of rect:
    bx = rect.right();
    by = rect.top();
    mu = (bx-base.x())/vec.x();
    if (mu >= 0 && mu <= 1)
    {
      gamma = base.y()-by + mu*vec.y();
      if (gamma >= 0 && gamma <= rect.height())
        pointVectors.append(QVector2D(bx, by+gamma));
    }
  }
  
  if (containsStart)
    pointVectors.append(start);
  if (containsEnd)
    pointVectors.append(end);
  
  // evaluate points:
  if (pointVectors.size() == 2)
  {
    result.setPoints(pointVectors.at(0).toPointF(), pointVectors.at(1).toPointF());
  } else if (pointVectors.size() > 2)
  {
    // line probably goes through corner of rect, and we got two points there. single out the point pair with greatest distance:
    double distSqrMax = 0;
    QVector2D pv1, pv2;
    for (int i=0; i<pointVectors.size()-1; ++i)
    {
      for (int k=i+1; k<pointVectors.size(); ++k)
      {
        double distSqr = (pointVectors.at(i)-pointVectors.at(k)).lengthSquared();
        if (distSqr > distSqrMax)
        {
          pv1 = pointVectors.at(i);
          pv2 = pointVectors.at(k);
          distSqrMax = distSqr;
        }
      }
    }
    result.setPoints(pv1.toPointF(), pv2.toPointF());
  }
  return result;
}
 
QPen QCPItemLine::mainPen() const
{
  return mSelected ? mSelectedPen : mPen;
}
 
 
 
QCPItemCurve::QCPItemCurve(QCustomPlot *parentPlot) :
  QCPAbstractItem(parentPlot),
  start(createPosition("start")),
  startDir(createPosition("startDir")),
  endDir(createPosition("endDir")),
  end(createPosition("end"))
{
  start->setCoords(0, 0);
  startDir->setCoords(0.5, 0);
  endDir->setCoords(0, 0.5);
  end->setCoords(1, 1);
  
  setPen(QPen(Qt::black));
  setSelectedPen(QPen(Qt::blue,2));
}
 
QCPItemCurve::~QCPItemCurve()
{
}
 
void QCPItemCurve::setPen(const QPen &pen)
{
  mPen = pen;
}
 
void QCPItemCurve::setSelectedPen(const QPen &pen)
{
  mSelectedPen = pen;
}
 
void QCPItemCurve::setHead(const QCPLineEnding &head)
{
  mHead = head;
}
 
void QCPItemCurve::setTail(const QCPLineEnding &tail)
{
  mTail = tail;
}
 
/* inherits documentation from base class */
double QCPItemCurve::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  if (onlySelectable && !mSelectable)
    return -1;
  
  QPointF startVec(start->pixelPoint());
  QPointF startDirVec(startDir->pixelPoint());
  QPointF endDirVec(endDir->pixelPoint());
  QPointF endVec(end->pixelPoint());
 
  QPainterPath cubicPath(startVec);
  cubicPath.cubicTo(startDirVec, endDirVec, endVec);
  
  QPolygonF polygon = cubicPath.toSubpathPolygons().first();
  double minDistSqr = std::numeric_limits<double>::max();
  for (int i=1; i<polygon.size(); ++i)
  {
    double distSqr = distSqrToLine(polygon.at(i-1), polygon.at(i), pos);
    if (distSqr < minDistSqr)
      minDistSqr = distSqr;
  }
  return qSqrt(minDistSqr);
}
 
/* inherits documentation from base class */
void QCPItemCurve::draw(QCPPainter *painter)
{
  QPointF startVec(start->pixelPoint());
  QPointF startDirVec(startDir->pixelPoint());
  QPointF endDirVec(endDir->pixelPoint());
  QPointF endVec(end->pixelPoint());
  if (QVector2D(endVec-startVec).length() > 1e10f) // too large curves cause crash
    return;
 
  QPainterPath cubicPath(startVec);
  cubicPath.cubicTo(startDirVec, endDirVec, endVec);
 
  // paint visible segment, if existent:
  QRect clip = clipRect().adjusted(-mainPen().widthF(), -mainPen().widthF(), mainPen().widthF(), mainPen().widthF());
  QRect cubicRect = cubicPath.controlPointRect().toRect();
  if (cubicRect.isEmpty()) // may happen when start and end exactly on same x or y position
    cubicRect.adjust(0, 0, 1, 1);
  if (clip.intersects(cubicRect))
  {
    painter->setPen(mainPen());
    painter->drawPath(cubicPath);
    painter->setBrush(Qt::SolidPattern);
    if (mTail.style() != QCPLineEnding::esNone)
      mTail.draw(painter, QVector2D(startVec), M_PI-cubicPath.angleAtPercent(0)/180.0*M_PI);
    if (mHead.style() != QCPLineEnding::esNone)
      mHead.draw(painter, QVector2D(endVec), -cubicPath.angleAtPercent(1)/180.0*M_PI);
  }
}
 
QPen QCPItemCurve::mainPen() const
{
  return mSelected ? mSelectedPen : mPen;
}
 
 
 
QCPItemRect::QCPItemRect(QCustomPlot *parentPlot) :
  QCPAbstractItem(parentPlot),
  topLeft(createPosition("topLeft")),
  bottomRight(createPosition("bottomRight")),
  top(createAnchor("top", aiTop)),
  topRight(createAnchor("topRight", aiTopRight)),
  right(createAnchor("right", aiRight)),
  bottom(createAnchor("bottom", aiBottom)),
  bottomLeft(createAnchor("bottomLeft", aiBottomLeft)),
  left(createAnchor("left", aiLeft))
{
  topLeft->setCoords(0, 1);
  bottomRight->setCoords(1, 0);
  
  setPen(QPen(Qt::black));
  setSelectedPen(QPen(Qt::blue,2));
  setBrush(Qt::NoBrush);
  setSelectedBrush(Qt::NoBrush);
}
 
QCPItemRect::~QCPItemRect()
{
}
 
void QCPItemRect::setPen(const QPen &pen)
{
  mPen = pen;
}
 
void QCPItemRect::setSelectedPen(const QPen &pen)
{
  mSelectedPen = pen;
}
 
void QCPItemRect::setBrush(const QBrush &brush)
{
  mBrush = brush;
}
 
void QCPItemRect::setSelectedBrush(const QBrush &brush)
{
  mSelectedBrush = brush;
}
 
/* inherits documentation from base class */
double QCPItemRect::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  if (onlySelectable && !mSelectable)
    return -1;
  
  QRectF rect = QRectF(topLeft->pixelPoint(), bottomRight->pixelPoint()).normalized();
  bool filledRect = mBrush.style() != Qt::NoBrush && mBrush.color().alpha() != 0;
  return rectSelectTest(rect, pos, filledRect);
}
 
/* inherits documentation from base class */
void QCPItemRect::draw(QCPPainter *painter)
{
  QPointF p1 = topLeft->pixelPoint();
  QPointF p2 = bottomRight->pixelPoint();
  if (p1.toPoint() == p2.toPoint())
    return;
  QRectF rect = QRectF(p1, p2).normalized();
  double clipPad = mainPen().widthF();
  QRectF boundingRect = rect.adjusted(-clipPad, -clipPad, clipPad, clipPad);
  if (boundingRect.intersects(clipRect())) // only draw if bounding rect of rect item is visible in cliprect
  {
    painter->setPen(mainPen());
    painter->setBrush(mainBrush());
    painter->drawRect(rect);
  }
}
 
/* inherits documentation from base class */
QPointF QCPItemRect::anchorPixelPoint(int anchorId) const
{
  QRectF rect = QRectF(topLeft->pixelPoint(), bottomRight->pixelPoint());
  switch (anchorId)
  {
    case aiTop:         return (rect.topLeft()+rect.topRight())*0.5;
    case aiTopRight:    return rect.topRight();
    case aiRight:       return (rect.topRight()+rect.bottomRight())*0.5;
    case aiBottom:      return (rect.bottomLeft()+rect.bottomRight())*0.5;
    case aiBottomLeft:  return rect.bottomLeft();
    case aiLeft:        return (rect.topLeft()+rect.bottomLeft())*0.5;
  }
  
  qDebug() << Q_FUNC_INFO << "invalid anchorId" << anchorId;
  return QPointF();
}
 
QPen QCPItemRect::mainPen() const
{
  return mSelected ? mSelectedPen : mPen;
}
 
QBrush QCPItemRect::mainBrush() const
{
  return mSelected ? mSelectedBrush : mBrush;
}
 
 
 
QCPItemText::QCPItemText(QCustomPlot *parentPlot) :
  QCPAbstractItem(parentPlot),
  position(createPosition("position")),
  topLeft(createAnchor("topLeft", aiTopLeft)),
  top(createAnchor("top", aiTop)),
  topRight(createAnchor("topRight", aiTopRight)),
  right(createAnchor("right", aiRight)),
  bottomRight(createAnchor("bottomRight", aiBottomRight)),
  bottom(createAnchor("bottom", aiBottom)),
  bottomLeft(createAnchor("bottomLeft", aiBottomLeft)),
  left(createAnchor("left", aiLeft))
{
  position->setCoords(0, 0);
  
  setRotation(0);
  setTextAlignment(Qt::AlignTop|Qt::AlignHCenter);
  setPositionAlignment(Qt::AlignCenter);
  setText("text");
  
  setPen(Qt::NoPen);
  setSelectedPen(Qt::NoPen);
  setBrush(Qt::NoBrush);
  setSelectedBrush(Qt::NoBrush);
  setColor(Qt::black);
  setSelectedColor(Qt::blue);
}
 
QCPItemText::~QCPItemText()
{
}
 
void QCPItemText::setColor(const QColor &color)
{
  mColor = color;
}
 
void QCPItemText::setSelectedColor(const QColor &color)
{
  mSelectedColor = color;
}
 
void QCPItemText::setPen(const QPen &pen)
{
  mPen = pen;
}
 
void QCPItemText::setSelectedPen(const QPen &pen)
{
  mSelectedPen = pen;
}
 
void QCPItemText::setBrush(const QBrush &brush)
{
  mBrush = brush;
}
 
void QCPItemText::setSelectedBrush(const QBrush &brush)
{
  mSelectedBrush = brush;
}
 
void QCPItemText::setFont(const QFont &font)
{
  mFont = font;
}
 
void QCPItemText::setSelectedFont(const QFont &font)
{
  mSelectedFont = font;
}
 
void QCPItemText::setText(const QString &text)
{
  mText = text;
}
 
void QCPItemText::setPositionAlignment(Qt::Alignment alignment)
{
  mPositionAlignment = alignment;
}
 
void QCPItemText::setTextAlignment(Qt::Alignment alignment)
{
  mTextAlignment = alignment;
}
 
void QCPItemText::setRotation(double degrees)
{
  mRotation = degrees;
}
 
void QCPItemText::setPadding(const QMargins &padding)
{
  mPadding = padding;
}
 
/* inherits documentation from base class */
double QCPItemText::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  if (onlySelectable && !mSelectable)
    return -1;
  
  // The rect may be rotated, so we transform the actual clicked pos to the rotated
  // coordinate system, so we can use the normal rectSelectTest function for non-rotated rects:
  QPointF positionPixels(position->pixelPoint());
  QTransform inputTransform;
  inputTransform.translate(positionPixels.x(), positionPixels.y());
  inputTransform.rotate(-mRotation);
  inputTransform.translate(-positionPixels.x(), -positionPixels.y());
  QPointF rotatedPos = inputTransform.map(pos);
  QFontMetrics fontMetrics(mFont);
  QRect textRect = fontMetrics.boundingRect(0, 0, 0, 0, Qt::TextDontClip|mTextAlignment, mText);
  QRect textBoxRect = textRect.adjusted(-mPadding.left(), -mPadding.top(), mPadding.right(), mPadding.bottom());
  QPointF textPos = getTextDrawPoint(positionPixels, textBoxRect, mPositionAlignment);
  textBoxRect.moveTopLeft(textPos.toPoint());
 
  return rectSelectTest(textBoxRect, rotatedPos, true);
}
 
/* inherits documentation from base class */
void QCPItemText::draw(QCPPainter *painter)
{
  QPointF pos(position->pixelPoint());
  QTransform transform = painter->transform();
  transform.translate(pos.x(), pos.y());
  if (!qFuzzyIsNull(mRotation))
    transform.rotate(mRotation);
  painter->setFont(mainFont());
  QRect textRect = painter->fontMetrics().boundingRect(0, 0, 0, 0, Qt::TextDontClip|mTextAlignment, mText);
  QRect textBoxRect = textRect.adjusted(-mPadding.left(), -mPadding.top(), mPadding.right(), mPadding.bottom());
  QPointF textPos = getTextDrawPoint(QPointF(0, 0), textBoxRect, mPositionAlignment); // 0, 0 because the transform does the translation
  textRect.moveTopLeft(textPos.toPoint()+QPoint(mPadding.left(), mPadding.top()));
  textBoxRect.moveTopLeft(textPos.toPoint());
  double clipPad = mainPen().widthF();
  QRect boundingRect = textBoxRect.adjusted(-clipPad, -clipPad, clipPad, clipPad);
  if (transform.mapRect(boundingRect).intersects(painter->transform().mapRect(clipRect())))
  {
    painter->setTransform(transform);
    if ((mainBrush().style() != Qt::NoBrush && mainBrush().color().alpha() != 0) ||
        (mainPen().style() != Qt::NoPen && mainPen().color().alpha() != 0))
    {
      painter->setPen(mainPen());
      painter->setBrush(mainBrush());
      painter->drawRect(textBoxRect);
    }
    painter->setBrush(Qt::NoBrush);
    painter->setPen(QPen(mainColor()));
    painter->drawText(textRect, Qt::TextDontClip|mTextAlignment, mText);
  }
}
 
/* inherits documentation from base class */
QPointF QCPItemText::anchorPixelPoint(int anchorId) const
{
  // get actual rect points (pretty much copied from draw function):
  QPointF pos(position->pixelPoint());
  QTransform transform;
  transform.translate(pos.x(), pos.y());
  if (!qFuzzyIsNull(mRotation))
    transform.rotate(mRotation);
  QFontMetrics fontMetrics(mainFont());
  QRect textRect = fontMetrics.boundingRect(0, 0, 0, 0, Qt::TextDontClip|mTextAlignment, mText);
  QRectF textBoxRect = textRect.adjusted(-mPadding.left(), -mPadding.top(), mPadding.right(), mPadding.bottom());
  QPointF textPos = getTextDrawPoint(QPointF(0, 0), textBoxRect, mPositionAlignment); // 0, 0 because the transform does the translation
  textBoxRect.moveTopLeft(textPos.toPoint());
  QPolygonF rectPoly = transform.map(QPolygonF(textBoxRect));
  
  switch (anchorId)
  {
    case aiTopLeft:     return rectPoly.at(0);
    case aiTop:         return (rectPoly.at(0)+rectPoly.at(1))*0.5;
    case aiTopRight:    return rectPoly.at(1);
    case aiRight:       return (rectPoly.at(1)+rectPoly.at(2))*0.5;
    case aiBottomRight: return rectPoly.at(2);
    case aiBottom:      return (rectPoly.at(2)+rectPoly.at(3))*0.5;
    case aiBottomLeft:  return rectPoly.at(3);
    case aiLeft:        return (rectPoly.at(3)+rectPoly.at(0))*0.5;
  }
  
  qDebug() << Q_FUNC_INFO << "invalid anchorId" << anchorId;
  return QPointF();
}
 
QPointF QCPItemText::getTextDrawPoint(const QPointF &pos, const QRectF &rect, Qt::Alignment positionAlignment) const
{
  if (positionAlignment == 0 || positionAlignment == (Qt::AlignLeft|Qt::AlignTop))
    return pos;
  
  QPointF result = pos; // start at top left
  if (positionAlignment.testFlag(Qt::AlignHCenter))
    result.rx() -= rect.width()/2.0;
  else if (positionAlignment.testFlag(Qt::AlignRight))
    result.rx() -= rect.width();
  if (positionAlignment.testFlag(Qt::AlignVCenter))
    result.ry() -= rect.height()/2.0;
  else if (positionAlignment.testFlag(Qt::AlignBottom))
    result.ry() -= rect.height();
  return result;
}
 
QFont QCPItemText::mainFont() const
{
  return mSelected ? mSelectedFont : mFont;
}
 
QColor QCPItemText::mainColor() const
{
  return mSelected ? mSelectedColor : mColor;
}
 
QPen QCPItemText::mainPen() const
{
  return mSelected ? mSelectedPen : mPen;
}
 
QBrush QCPItemText::mainBrush() const
{
  return mSelected ? mSelectedBrush : mBrush;
}
 
 
 
QCPItemEllipse::QCPItemEllipse(QCustomPlot *parentPlot) :
  QCPAbstractItem(parentPlot),
  topLeft(createPosition("topLeft")),
  bottomRight(createPosition("bottomRight")),
  topLeftRim(createAnchor("topLeftRim", aiTopLeftRim)),
  top(createAnchor("top", aiTop)),
  topRightRim(createAnchor("topRightRim", aiTopRightRim)),
  right(createAnchor("right", aiRight)),
  bottomRightRim(createAnchor("bottomRightRim", aiBottomRightRim)),
  bottom(createAnchor("bottom", aiBottom)),
  bottomLeftRim(createAnchor("bottomLeftRim", aiBottomLeftRim)),
  left(createAnchor("left", aiLeft)),
  center(createAnchor("center", aiCenter))
{
  topLeft->setCoords(0, 1);
  bottomRight->setCoords(1, 0);
  
  setPen(QPen(Qt::black));
  setSelectedPen(QPen(Qt::blue, 2));
  setBrush(Qt::NoBrush);
  setSelectedBrush(Qt::NoBrush);
}
 
QCPItemEllipse::~QCPItemEllipse()
{
}
 
void QCPItemEllipse::setPen(const QPen &pen)
{
  mPen = pen;
}
 
void QCPItemEllipse::setSelectedPen(const QPen &pen)
{
  mSelectedPen = pen;
}
 
void QCPItemEllipse::setBrush(const QBrush &brush)
{
  mBrush = brush;
}
 
void QCPItemEllipse::setSelectedBrush(const QBrush &brush)
{
  mSelectedBrush = brush;
}
 
/* inherits documentation from base class */
double QCPItemEllipse::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  if (onlySelectable && !mSelectable)
    return -1;
  
  double result = -1;
  QPointF p1 = topLeft->pixelPoint();
  QPointF p2 = bottomRight->pixelPoint();
  QPointF center((p1+p2)/2.0);
  double a = qAbs(p1.x()-p2.x())/2.0;
  double b = qAbs(p1.y()-p2.y())/2.0;
  double x = pos.x()-center.x();
  double y = pos.y()-center.y();
  
  // distance to border:
  double c = 1.0/qSqrt(x*x/(a*a)+y*y/(b*b));
  result = qAbs(c-1)*qSqrt(x*x+y*y);
  // filled ellipse, allow click inside to count as hit:
  if (result > mParentPlot->selectionTolerance()*0.99 && mBrush.style() != Qt::NoBrush && mBrush.color().alpha() != 0)
  {
    if (x*x/(a*a) + y*y/(b*b) <= 1)
      result = mParentPlot->selectionTolerance()*0.99;
  }
  return result;
}
 
/* inherits documentation from base class */
void QCPItemEllipse::draw(QCPPainter *painter)
{
  QPointF p1 = topLeft->pixelPoint();
  QPointF p2 = bottomRight->pixelPoint();
  if (p1.toPoint() == p2.toPoint())
    return;
  QRectF ellipseRect = QRectF(p1, p2).normalized();
  QRect clip = clipRect().adjusted(-mainPen().widthF(), -mainPen().widthF(), mainPen().widthF(), mainPen().widthF());
  if (ellipseRect.intersects(clip)) // only draw if bounding rect of ellipse is visible in cliprect
  {
    painter->setPen(mainPen());
    painter->setBrush(mainBrush());
#ifdef __EXCEPTIONS
    try // drawEllipse sometimes throws exceptions if ellipse is too big
    {
#endif
      painter->drawEllipse(ellipseRect);
#ifdef __EXCEPTIONS
    } catch (...)
    {
      qDebug() << Q_FUNC_INFO << "Item too large for memory, setting invisible";
      setVisible(false);
    }
#endif
  }
}
 
/* inherits documentation from base class */
QPointF QCPItemEllipse::anchorPixelPoint(int anchorId) const
{
  QRectF rect = QRectF(topLeft->pixelPoint(), bottomRight->pixelPoint());
  switch (anchorId)
  {
    case aiTopLeftRim:     return rect.center()+(rect.topLeft()-rect.center())*1/qSqrt(2);
    case aiTop:            return (rect.topLeft()+rect.topRight())*0.5;
    case aiTopRightRim:    return rect.center()+(rect.topRight()-rect.center())*1/qSqrt(2);
    case aiRight:          return (rect.topRight()+rect.bottomRight())*0.5;
    case aiBottomRightRim: return rect.center()+(rect.bottomRight()-rect.center())*1/qSqrt(2);
    case aiBottom:         return (rect.bottomLeft()+rect.bottomRight())*0.5;
    case aiBottomLeftRim:  return rect.center()+(rect.bottomLeft()-rect.center())*1/qSqrt(2);
    case aiLeft:           return (rect.topLeft()+rect.bottomLeft())*0.5;
    case aiCenter:         return (rect.topLeft()+rect.bottomRight())*0.5;
  }
  
  qDebug() << Q_FUNC_INFO << "invalid anchorId" << anchorId;
  return QPointF();
}
 
QPen QCPItemEllipse::mainPen() const
{
  return mSelected ? mSelectedPen : mPen;
}
 
QBrush QCPItemEllipse::mainBrush() const
{
  return mSelected ? mSelectedBrush : mBrush;
}
 
 
 
QCPItemPixmap::QCPItemPixmap(QCustomPlot *parentPlot) :
  QCPAbstractItem(parentPlot),
  topLeft(createPosition("topLeft")),
  bottomRight(createPosition("bottomRight")),
  top(createAnchor("top", aiTop)),
  topRight(createAnchor("topRight", aiTopRight)),
  right(createAnchor("right", aiRight)),
  bottom(createAnchor("bottom", aiBottom)),
  bottomLeft(createAnchor("bottomLeft", aiBottomLeft)),
  left(createAnchor("left", aiLeft))
{
  topLeft->setCoords(0, 1);
  bottomRight->setCoords(1, 0);
  
  setPen(Qt::NoPen);
  setSelectedPen(QPen(Qt::blue));
  setScaled(false, Qt::KeepAspectRatio);
}
 
QCPItemPixmap::~QCPItemPixmap()
{
}
 
void QCPItemPixmap::setPixmap(const QPixmap &pixmap)
{
  mPixmap = pixmap;
  if (mPixmap.isNull())
    qDebug() << Q_FUNC_INFO << "pixmap is null";
}
 
void QCPItemPixmap::setScaled(bool scaled, Qt::AspectRatioMode aspectRatioMode)
{
  mScaled = scaled;
  mAspectRatioMode = aspectRatioMode;
  updateScaledPixmap();
}
 
void QCPItemPixmap::setPen(const QPen &pen)
{
  mPen = pen;
}
 
void QCPItemPixmap::setSelectedPen(const QPen &pen)
{
  mSelectedPen = pen;
}
 
/* inherits documentation from base class */
double QCPItemPixmap::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  if (onlySelectable && !mSelectable)
    return -1;
  
  return rectSelectTest(getFinalRect(), pos, true);
}
 
/* inherits documentation from base class */
void QCPItemPixmap::draw(QCPPainter *painter)
{
  bool flipHorz = false;
  bool flipVert = false;
  QRect rect = getFinalRect(&flipHorz, &flipVert);
  double clipPad = mainPen().style() == Qt::NoPen ? 0 : mainPen().widthF();
  QRect boundingRect = rect.adjusted(-clipPad, -clipPad, clipPad, clipPad);
  if (boundingRect.intersects(clipRect()))
  {
    updateScaledPixmap(rect, flipHorz, flipVert);
    painter->drawPixmap(rect.topLeft(), mScaled ? mScaledPixmap : mPixmap);
    QPen pen = mainPen();
    if (pen.style() != Qt::NoPen)
    {
      painter->setPen(pen);
      painter->setBrush(Qt::NoBrush);
      painter->drawRect(rect);
    }
  }
}
 
/* inherits documentation from base class */
QPointF QCPItemPixmap::anchorPixelPoint(int anchorId) const
{
  bool flipHorz;
  bool flipVert;
  QRect rect = getFinalRect(&flipHorz, &flipVert);
  // we actually want denormal rects (negative width/height) here, so restore
  // the flipped state:
  if (flipHorz)
    rect.adjust(rect.width(), 0, -rect.width(), 0);
  if (flipVert)
    rect.adjust(0, rect.height(), 0, -rect.height());
  
  switch (anchorId)
  {
    case aiTop:         return (rect.topLeft()+rect.topRight())*0.5;
    case aiTopRight:    return rect.topRight();
    case aiRight:       return (rect.topRight()+rect.bottomRight())*0.5;
    case aiBottom:      return (rect.bottomLeft()+rect.bottomRight())*0.5;
    case aiBottomLeft:  return rect.bottomLeft();
    case aiLeft:        return (rect.topLeft()+rect.bottomLeft())*0.5;;
  }
  
  qDebug() << Q_FUNC_INFO << "invalid anchorId" << anchorId;
  return QPointF();
}
 
void QCPItemPixmap::updateScaledPixmap(QRect finalRect, bool flipHorz, bool flipVert)
{
  if (mPixmap.isNull())
    return;
  
  if (mScaled)
  {
    if (finalRect.isNull())
      finalRect = getFinalRect(&flipHorz, &flipVert);
    if (finalRect.size() != mScaledPixmap.size())
    {
      mScaledPixmap = mPixmap.scaled(finalRect.size(), mAspectRatioMode, Qt::SmoothTransformation);
      if (flipHorz || flipVert)
        mScaledPixmap = QPixmap::fromImage(mScaledPixmap.toImage().mirrored(flipHorz, flipVert));
    }
  } else if (!mScaledPixmap.isNull())
    mScaledPixmap = QPixmap();
}
 
QRect QCPItemPixmap::getFinalRect(bool *flippedHorz, bool *flippedVert) const
{
  QRect result;
  bool flipHorz = false;
  bool flipVert = false;
  QPoint p1 = topLeft->pixelPoint().toPoint();
  QPoint p2 = bottomRight->pixelPoint().toPoint();
  if (p1 == p2)
    return QRect(p1, QSize(0, 0));
  if (mScaled)
  {
    QSize newSize = QSize(p2.x()-p1.x(), p2.y()-p1.y());
    QPoint topLeft = p1;
    if (newSize.width() < 0)
    {
      flipHorz = true;
      newSize.rwidth() *= -1;
      topLeft.setX(p2.x());
    }
    if (newSize.height() < 0)
    {
      flipVert = true;
      newSize.rheight() *= -1;
      topLeft.setY(p2.y());
    }
    QSize scaledSize = mPixmap.size();
    scaledSize.scale(newSize, mAspectRatioMode);
    result = QRect(topLeft, scaledSize);
  } else
  {
    result = QRect(p1, mPixmap.size());
  }
  if (flippedHorz)
    *flippedHorz = flipHorz;
  if (flippedVert)
    *flippedVert = flipVert;
  return result;
}
 
QPen QCPItemPixmap::mainPen() const
{
  return mSelected ? mSelectedPen : mPen;
}
 
 
 
QCPItemTracer::QCPItemTracer(QCustomPlot *parentPlot) :
  QCPAbstractItem(parentPlot),
  position(createPosition("position")),
  mGraph(0)
{
  position->setCoords(0, 0);
 
  setBrush(Qt::NoBrush);
  setSelectedBrush(Qt::NoBrush);
  setPen(QPen(Qt::black));
  setSelectedPen(QPen(Qt::blue, 2));
  setStyle(tsCrosshair);
  setSize(6);
  setInterpolating(false);
  setGraphKey(0);
}
 
QCPItemTracer::~QCPItemTracer()
{
}
 
void QCPItemTracer::setPen(const QPen &pen)
{
  mPen = pen;
}
 
void QCPItemTracer::setSelectedPen(const QPen &pen)
{
  mSelectedPen = pen;
}
 
void QCPItemTracer::setBrush(const QBrush &brush)
{
  mBrush = brush;
}
 
void QCPItemTracer::setSelectedBrush(const QBrush &brush)
{
  mSelectedBrush = brush;
}
 
void QCPItemTracer::setSize(double size)
{
  mSize = size;
}
 
void QCPItemTracer::setStyle(QCPItemTracer::TracerStyle style)
{
  mStyle = style;
}
 
void QCPItemTracer::setGraph(QCPGraph *graph)
{
  if (graph)
  {
    if (graph->parentPlot() == mParentPlot)
    {
      position->setType(QCPItemPosition::ptPlotCoords);
      position->setAxes(graph->keyAxis(), graph->valueAxis());
      mGraph = graph;
      updatePosition();
    } else
      qDebug() << Q_FUNC_INFO << "graph isn't in same QCustomPlot instance as this item";
  } else
  {
    mGraph = 0;
  }
}
 
void QCPItemTracer::setGraphKey(double key)
{
  mGraphKey = key;
}
 
void QCPItemTracer::setInterpolating(bool enabled)
{
  mInterpolating = enabled;
}
 
/* inherits documentation from base class */
double QCPItemTracer::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  if (onlySelectable && !mSelectable)
    return -1;
 
  QPointF center(position->pixelPoint());
  double w = mSize/2.0;
  QRect clip = clipRect();
  switch (mStyle)
  {
    case tsNone: return -1;
    case tsPlus:
    {
      if (clipRect().intersects(QRectF(center-QPointF(w, w), center+QPointF(w, w)).toRect()))
        return qSqrt(qMin(distSqrToLine(center+QPointF(-w, 0), center+QPointF(w, 0), pos),
                          distSqrToLine(center+QPointF(0, -w), center+QPointF(0, w), pos)));
      break;
    }
    case tsCrosshair:
    {
      return qSqrt(qMin(distSqrToLine(QPointF(clip.left(), center.y()), QPointF(clip.right(), center.y()), pos),
                        distSqrToLine(QPointF(center.x(), clip.top()), QPointF(center.x(), clip.bottom()), pos)));
    }
    case tsCircle:
    {
      if (clip.intersects(QRectF(center-QPointF(w, w), center+QPointF(w, w)).toRect()))
      {
        // distance to border:
        double centerDist = QVector2D(center-pos).length();
        double circleLine = w;
        double result = qAbs(centerDist-circleLine);
        // filled ellipse, allow click inside to count as hit:
        if (result > mParentPlot->selectionTolerance()*0.99 && mBrush.style() != Qt::NoBrush && mBrush.color().alpha() != 0)
        {
          if (centerDist <= circleLine)
            result = mParentPlot->selectionTolerance()*0.99;
        }
        return result;
      }
      break;
    }
    case tsSquare:
    {
      if (clip.intersects(QRectF(center-QPointF(w, w), center+QPointF(w, w)).toRect()))
      {
        QRectF rect = QRectF(center-QPointF(w, w), center+QPointF(w, w));
        bool filledRect = mBrush.style() != Qt::NoBrush && mBrush.color().alpha() != 0;
        return rectSelectTest(rect, pos, filledRect);
      }
      break;
    }
  }
  return -1;
}
 
/* inherits documentation from base class */
void QCPItemTracer::draw(QCPPainter *painter)
{
  updatePosition();
  if (mStyle == tsNone)
    return;
 
  painter->setPen(mainPen());
  painter->setBrush(mainBrush());
  QPointF center(position->pixelPoint());
  double w = mSize/2.0;
  QRect clip = clipRect();
  switch (mStyle)
  {
    case tsNone: return;
    case tsPlus:
    {
      if (clip.intersects(QRectF(center-QPointF(w, w), center+QPointF(w, w)).toRect()))
      {
        painter->drawLine(QLineF(center+QPointF(-w, 0), center+QPointF(w, 0)));
        painter->drawLine(QLineF(center+QPointF(0, -w), center+QPointF(0, w)));
      }
      break;
    }
    case tsCrosshair:
    {
      if (center.y() > clip.top() && center.y() < clip.bottom())
        painter->drawLine(QLineF(clip.left(), center.y(), clip.right(), center.y()));
      if (center.x() > clip.left() && center.x() < clip.right())
        painter->drawLine(QLineF(center.x(), clip.top(), center.x(), clip.bottom()));
      break;
    }
    case tsCircle:
    {
      if (clip.intersects(QRectF(center-QPointF(w, w), center+QPointF(w, w)).toRect()))
        painter->drawEllipse(center, w, w);
      break;
    }
    case tsSquare:
    {
      if (clip.intersects(QRectF(center-QPointF(w, w), center+QPointF(w, w)).toRect()))
        painter->drawRect(QRectF(center-QPointF(w, w), center+QPointF(w, w)));
      break;
    }
  }
}
 
void QCPItemTracer::updatePosition()
{
  if (mGraph)
  {
    if (mParentPlot->hasPlottable(mGraph))
    {
      if (mGraph->data()->size() > 1)
      {
        QCPDataMap::const_iterator first = mGraph->data()->constBegin();
        QCPDataMap::const_iterator last = mGraph->data()->constEnd()-1;
        if (mGraphKey < first.key())
          position->setCoords(first.key(), first.value().value);
        else if (mGraphKey > last.key())
          position->setCoords(last.key(), last.value().value);
        else
        {
          QCPDataMap::const_iterator it = mGraph->data()->lowerBound(mGraphKey);
          if (it != first) // mGraphKey is somewhere between iterators
          {
            QCPDataMap::const_iterator prevIt = it-1;
            if (mInterpolating)
            {
              // interpolate between iterators around mGraphKey:
              double slope = 0;
              if (!qFuzzyCompare((double)it.key(), (double)prevIt.key()))
                slope = (it.value().value-prevIt.value().value)/(it.key()-prevIt.key());
              position->setCoords(mGraphKey, (mGraphKey-prevIt.key())*slope+prevIt.value().value);
            } else
            {
              // find iterator with key closest to mGraphKey:
              if (mGraphKey < (prevIt.key()+it.key())*0.5)
                it = prevIt;
              position->setCoords(it.key(), it.value().value);
            }
          } else // mGraphKey is exactly on first iterator
            position->setCoords(it.key(), it.value().value);
        }
      } else if (mGraph->data()->size() == 1)
      {
        QCPDataMap::const_iterator it = mGraph->data()->constBegin();
        position->setCoords(it.key(), it.value().value);
      } else
        qDebug() << Q_FUNC_INFO << "graph has no data";
    } else
      qDebug() << Q_FUNC_INFO << "graph not contained in QCustomPlot instance (anymore)";
  }
}
 
QPen QCPItemTracer::mainPen() const
{
  return mSelected ? mSelectedPen : mPen;
}
 
QBrush QCPItemTracer::mainBrush() const
{
  return mSelected ? mSelectedBrush : mBrush;
}
 
 
 
QCPItemBracket::QCPItemBracket(QCustomPlot *parentPlot) :
  QCPAbstractItem(parentPlot),
  left(createPosition("left")),
  right(createPosition("right")),
  center(createAnchor("center", aiCenter))
{
  left->setCoords(0, 0);
  right->setCoords(1, 1);
  
  setPen(QPen(Qt::black));
  setSelectedPen(QPen(Qt::blue, 2));
  setLength(8);
  setStyle(bsCalligraphic);
}
 
QCPItemBracket::~QCPItemBracket()
{
}
 
void QCPItemBracket::setPen(const QPen &pen)
{
  mPen = pen;
}
 
void QCPItemBracket::setSelectedPen(const QPen &pen)
{
  mSelectedPen = pen;
}
 
void QCPItemBracket::setLength(double length)
{
  mLength = length;
}
 
void QCPItemBracket::setStyle(QCPItemBracket::BracketStyle style)
{
  mStyle = style;
}
 
/* inherits documentation from base class */
double QCPItemBracket::selectTest(const QPointF &pos, bool onlySelectable, QVariant *details) const
{
  Q_UNUSED(details)
  if (onlySelectable && !mSelectable)
    return -1;
  
  QVector2D leftVec(left->pixelPoint());
  QVector2D rightVec(right->pixelPoint());
  if (leftVec.toPoint() == rightVec.toPoint())
    return -1;
  
  QVector2D widthVec = (rightVec-leftVec)*0.5f;
  QVector2D lengthVec(-widthVec.y(), widthVec.x());
  lengthVec = lengthVec.normalized()*mLength;
  QVector2D centerVec = (rightVec+leftVec)*0.5f-lengthVec;
  
  return qSqrt(distSqrToLine((centerVec-widthVec).toPointF(), (centerVec+widthVec).toPointF(), pos));
}
 
/* inherits documentation from base class */
void QCPItemBracket::draw(QCPPainter *painter)
{
  QVector2D leftVec(left->pixelPoint());
  QVector2D rightVec(right->pixelPoint());
  if (leftVec.toPoint() == rightVec.toPoint())
    return;
  
  QVector2D widthVec = (rightVec-leftVec)*0.5f;
  QVector2D lengthVec(-widthVec.y(), widthVec.x());
  lengthVec = lengthVec.normalized()*mLength;
  QVector2D centerVec = (rightVec+leftVec)*0.5f-lengthVec;
 
  QPolygon boundingPoly;
  boundingPoly << leftVec.toPoint() << rightVec.toPoint()
               << (rightVec-lengthVec).toPoint() << (leftVec-lengthVec).toPoint();
  QRect clip = clipRect().adjusted(-mainPen().widthF(), -mainPen().widthF(), mainPen().widthF(), mainPen().widthF());
  if (clip.intersects(boundingPoly.boundingRect()))
  {
    painter->setPen(mainPen());
    switch (mStyle)
    {
      case bsSquare:
      {
        painter->drawLine((centerVec+widthVec).toPointF(), (centerVec-widthVec).toPointF());
        painter->drawLine((centerVec+widthVec).toPointF(), (centerVec+widthVec+lengthVec).toPointF());
        painter->drawLine((centerVec-widthVec).toPointF(), (centerVec-widthVec+lengthVec).toPointF());
        break;
      }
      case bsRound:
      {
        painter->setBrush(Qt::NoBrush);
        QPainterPath path;
        path.moveTo((centerVec+widthVec+lengthVec).toPointF());
        path.cubicTo((centerVec+widthVec).toPointF(), (centerVec+widthVec).toPointF(), centerVec.toPointF());
        path.cubicTo((centerVec-widthVec).toPointF(), (centerVec-widthVec).toPointF(), (centerVec-widthVec+lengthVec).toPointF());
        painter->drawPath(path);
        break;
      }
      case bsCurly:
      {
        painter->setBrush(Qt::NoBrush);
        QPainterPath path;
        path.moveTo((centerVec+widthVec+lengthVec).toPointF());
        path.cubicTo((centerVec+widthVec-lengthVec*0.8f).toPointF(), (centerVec+0.4f*widthVec+lengthVec).toPointF(), centerVec.toPointF());
        path.cubicTo((centerVec-0.4f*widthVec+lengthVec).toPointF(), (centerVec-widthVec-lengthVec*0.8f).toPointF(), (centerVec-widthVec+lengthVec).toPointF());
        painter->drawPath(path);
        break;
      }
      case bsCalligraphic:
      {
        painter->setPen(Qt::NoPen);
        painter->setBrush(QBrush(mainPen().color()));
        QPainterPath path;
        path.moveTo((centerVec+widthVec+lengthVec).toPointF());
        
        path.cubicTo((centerVec+widthVec-lengthVec*0.8f).toPointF(), (centerVec+0.4f*widthVec+0.8f*lengthVec).toPointF(), centerVec.toPointF());
        path.cubicTo((centerVec-0.4f*widthVec+0.8f*lengthVec).toPointF(), (centerVec-widthVec-lengthVec*0.8f).toPointF(), (centerVec-widthVec+lengthVec).toPointF());
        
        path.cubicTo((centerVec-widthVec-lengthVec*0.5f).toPointF(), (centerVec-0.2f*widthVec+1.2f*lengthVec).toPointF(), (centerVec+lengthVec*0.2f).toPointF());
        path.cubicTo((centerVec+0.2f*widthVec+1.2f*lengthVec).toPointF(), (centerVec+widthVec-lengthVec*0.5f).toPointF(), (centerVec+widthVec+lengthVec).toPointF());
        
        painter->drawPath(path);
        break;
      }
    }
  }
}
 
/* inherits documentation from base class */
QPointF QCPItemBracket::anchorPixelPoint(int anchorId) const
{
  QVector2D leftVec(left->pixelPoint());
  QVector2D rightVec(right->pixelPoint());
  if (leftVec.toPoint() == rightVec.toPoint())
    return leftVec.toPointF();
  
  QVector2D widthVec = (rightVec-leftVec)*0.5f;
  QVector2D lengthVec(-widthVec.y(), widthVec.x());
  lengthVec = lengthVec.normalized()*mLength;
  QVector2D centerVec = (rightVec+leftVec)*0.5f-lengthVec;
  
  switch (anchorId)
  {
    case aiCenter:
      return centerVec.toPointF();
  }
  qDebug() << Q_FUNC_INFO << "invalid anchorId" << anchorId;
  return QPointF();
}
 
QPen QCPItemBracket::mainPen() const
{
    return mSelected ? mSelectedPen : mPen;
}