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/****************************************************************************
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**
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** Copyright (C) 2012 Digia Plc
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** All rights reserved.
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** For any questions to Digia, please use contact form at http://qt.digia.com
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**
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** This file is part of the Qt Commercial Charts Add-on.
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**
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** $QT_BEGIN_LICENSE$
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** Licensees holding valid Qt Commercial licenses may use this file in
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** accordance with the Qt Commercial License Agreement provided with the
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** Software or, alternatively, in accordance with the terms contained in
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** a written agreement between you and Digia.
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**
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** If you have questions regarding the use of this file, please use
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** contact form at http://qt.digia.com
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** $QT_END_LICENSE$
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**
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****************************************************************************/
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#include "qsplineseries.h"
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#include "qsplineseries_p.h"
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#include "splinechartitem_p.h"
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#include "chartdataset_p.h"
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#include "charttheme_p.h"
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#include "splineanimation_p.h"
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/*!
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\class QSplineSeries
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\brief Series type used to store data needed to draw a spline.
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QSplineSeries stores the data points along with the segment control points needed by QPainterPath to draw spline
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Control points are automatically calculated when data changes. The algorithm computes the points so that the normal spline can be drawn.
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\image examples_splinechart.png
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Creating basic spline chart is simple:
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\code
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QSplineSeries* series = new QSplineSeries();
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series->append(0, 6);
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series->append(2, 4);
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...
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chart->addSeries(series);
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\endcode
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*/
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/*!
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\qmlclass SplineSeries QSplineSeries
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\inherits XYSeries
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The following QML shows how to create a simple spline chart:
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\snippet ../demos/qmlchart/qml/qmlchart/View3.qml 1
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\beginfloatleft
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\image demos_qmlchart3.png
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\endfloat
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\clearfloat
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*/
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/*!
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\fn QSeriesType QSplineSeries::type() const
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Returns the type of the series
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*/
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QTCOMMERCIALCHART_BEGIN_NAMESPACE
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/*!
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Constructs empty series object which is a child of \a parent.
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When series object is added to QChartView or QChart instance then the ownerships is transferred.
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*/
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QSplineSeries::QSplineSeries(QObject *parent) :
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QLineSeries(*new QSplineSeriesPrivate(this),parent)
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{
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Q_D(QSplineSeries);
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QObject::connect(this,SIGNAL(pointAdded(int)), d, SLOT(updateControlPoints()));
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QObject::connect(this,SIGNAL(pointRemoved(int)), d, SLOT(updateControlPoints()));
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QObject::connect(this,SIGNAL(pointReplaced(int)), d, SLOT(updateControlPoints()));
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QObject::connect(this,SIGNAL(pointsReplaced()), d, SLOT(updateControlPoints()));
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}
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/*!
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Destroys the object.
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*/
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QSplineSeries::~QSplineSeries()
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{
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Q_D(QSplineSeries);
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if(d->m_dataset){
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d->m_dataset->removeSeries(this);
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}
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}
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QAbstractSeries::SeriesType QSplineSeries::type() const
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{
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return QAbstractSeries::SeriesTypeSpline;
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}
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////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
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QSplineSeriesPrivate::QSplineSeriesPrivate(QSplineSeries* q):QLineSeriesPrivate(q)
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{
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}
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/*!
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Calculates control points which are needed by QPainterPath.cubicTo function to draw the cubic Bezier cureve between two points.
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*/
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void QSplineSeriesPrivate::calculateControlPoints()
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{
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Q_Q(QSplineSeries);
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const QList<QPointF>& points = q->points();
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int n = points.count() - 1;
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if (n == 1)
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{
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//for n==1
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m_controlPoints[0].setX((2 * points[0].x() + points[1].x()) / 3);
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m_controlPoints[0].setY((2 * points[0].y() + points[1].y()) / 3);
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m_controlPoints[1].setX(2 * m_controlPoints[0].x() - points[0].x());
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m_controlPoints[1].setY(2 * m_controlPoints[0].y() - points[0].y());
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return;
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}
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// Calculate first Bezier control points
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// Set of equations for P0 to Pn points.
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//
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// | 2 1 0 0 ... 0 0 0 ... 0 0 0 | | P1_1 | | P0 + 2 * P1 |
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// | 1 4 1 0 ... 0 0 0 ... 0 0 0 | | P1_2 | | 4 * P1 + 2 * P2 |
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// | 0 1 4 1 ... 0 0 0 ... 0 0 0 | | P1_3 | | 4 * P2 + 2 * P3 |
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// | . . . . . . . . . . . . | | ... | | ... |
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// | 0 0 0 0 ... 1 4 1 ... 0 0 0 | * | P1_i | = | 4 * P(i-1) + 2 * Pi |
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// | . . . . . . . . . . . . | | ... | | ... |
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// | 0 0 0 0 0 0 0 0 ... 1 4 1 | | P1_(n-1)| | 4 * P(n-2) + 2 * P(n-1) |
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// | 0 0 0 0 0 0 0 0 ... 0 2 7 | | P1_n | | 8 * P(n-1) + Pn |
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//
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QVector<qreal> vector;
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vector.resize(n);
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vector[0] = points[0].x() + 2 * points[1].x();
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for (int i = 1; i < n - 1; ++i){
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vector[i] = 4 * points[i].x() + 2 * points[i + 1].x();
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}
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vector[n - 1] = (8 * points[n-1].x() + points[n].x()) / 2.0;
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QVector<qreal> xControl = firstControlPoints(vector);
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vector[0] = points[0].y() + 2 * points[1].y();
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for (int i = 1; i < n - 1; ++i) {
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vector[i] = 4 * points[i].y() + 2 * points[i + 1].y();
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}
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vector[n - 1] = (8 * points[n-1].y() + points[n].y()) / 2.0;
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QVector<qreal> yControl = firstControlPoints(vector);
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for (int i = 0,j =0; i < n; ++i, ++j) {
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m_controlPoints[j].setX(xControl[i]);
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m_controlPoints[j].setY(yControl[i]);
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j++;
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if (i < n - 1){
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m_controlPoints[j].setX(2 * points[i+1].x() - xControl[i + 1]);
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m_controlPoints[j].setY(2 * points[i+1].y() - yControl[i + 1]);
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}else{
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m_controlPoints[j].setX((points[n].x() + xControl[n - 1]) / 2);
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m_controlPoints[j].setY((points[n].y() + yControl[n - 1]) / 2);
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}
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}
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}
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QVector<qreal> QSplineSeriesPrivate::firstControlPoints(const QVector<qreal>& vector)
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{
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QVector<qreal> result;
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int count = vector.count();
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result.resize(count);
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result[0] = vector[0] / 2.0;
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QVector<qreal> temp;
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temp.resize(count);
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temp[0] = 0;
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qreal b = 2.0;
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for (int i = 1; i < count; i++) {
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temp[i] = 1 / b;
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b = (i < count - 1 ? 4.0 : 3.5) - temp[i];
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result[i]=(vector[i] - result[i - 1]) / b;
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}
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for (int i = 1; i < count; i++)
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result[count - i - 1] -= temp[count - i] * result[count - i];
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return result;
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}
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QPointF QSplineSeriesPrivate::controlPoint(int index) const
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{
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return m_controlPoints[index];
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}
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/*!
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Updates the control points, besed on currently avaiable knots.
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*/
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void QSplineSeriesPrivate::updateControlPoints()
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{
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Q_Q(QSplineSeries);
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if (q->count() > 1) {
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m_controlPoints.resize(2*q->count()-2);
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calculateControlPoints();
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}
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}
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ChartElement* QSplineSeriesPrivate::createGraphics(ChartPresenter* presenter)
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{
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Q_Q(QSplineSeries);
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SplineChartItem* spline = new SplineChartItem(q,presenter);
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if(presenter->animationOptions().testFlag(QChart::SeriesAnimations)) {
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spline->setAnimation(new SplineAnimation(spline));
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}
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presenter->chartTheme()->decorate(q, presenter->dataSet()->seriesIndex(q));
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return spline;
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}
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#include "moc_qsplineseries.cpp"
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#include "moc_qsplineseries_p.cpp"
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QTCOMMERCIALCHART_END_NAMESPACE
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