@@ -1,67 +1,77 | |||||
1 | #include "splinewidget.h" |
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1 | #include "splinewidget.h" | |
2 | #include "qchartview.h" |
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2 | #include "qchartview.h" | |
3 | #include "qsplineseries.h" |
|
3 | #include "qsplineseries.h" | |
4 | #include "qlineseries.h" |
|
4 | #include "qlineseries.h" | |
5 | #include <QGridLayout> |
|
5 | #include <QGridLayout> | |
6 |
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6 | |||
7 | QTCOMMERCIALCHART_USE_NAMESPACE |
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7 | QTCOMMERCIALCHART_USE_NAMESPACE | |
8 |
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8 | |||
9 | SplineWidget::SplineWidget(QWidget *parent) |
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9 | SplineWidget::SplineWidget(QWidget *parent) | |
10 | : QWidget(parent) |
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10 | : QWidget(parent) | |
11 | { |
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11 | { | |
12 | //create QSplineSeries |
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12 | //create QSplineSeries | |
13 | QSplineSeries* series = new QSplineSeries(this); |
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13 | QSplineSeries* series = new QSplineSeries(this); | |
14 | // series->add(QPointF(150, 100)); |
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14 | // series->add(QPointF(150, 100)); | |
15 | // series->add(QPointF(200, 130)); |
|
15 | // series->add(QPointF(200, 130)); | |
16 | // series->add(QPointF(250, 120)); |
|
16 | // series->add(QPointF(250, 120)); | |
17 | // series->add(QPointF(300, 140)); |
|
17 | // series->add(QPointF(300, 140)); | |
18 | // series->add(QPointF(350, 100)); |
|
18 | // series->add(QPointF(350, 100)); | |
19 | // series->add(QPointF(400, 120)); |
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19 | // series->add(QPointF(400, 120)); | |
20 | // series->add(QPointF(450, 150)); |
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20 | // series->add(QPointF(450, 150)); | |
21 | //// series->add(QPointF(600, 150)); |
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21 | //// series->add(QPointF(600, 150)); | |
22 | // series->add(QPointF(500, 145)); |
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22 | // series->add(QPointF(500, 145)); | |
23 | // series->add(QPointF(550, 170)); |
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23 | // series->add(QPointF(550, 170)); | |
24 | // series->add(QPointF(600, 190)); |
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24 | // series->add(QPointF(600, 190)); | |
25 | // series->add(QPointF(650, 210)); |
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25 | // series->add(QPointF(650, 210)); | |
26 | // series->add(QPointF(700, 190)); |
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26 | // series->add(QPointF(700, 190)); | |
27 | // series->add(QPointF(750, 180)); |
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27 | // series->add(QPointF(750, 180)); | |
28 | // series->add(QPointF(800, 170)); |
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28 | // series->add(QPointF(800, 170)); | |
29 |
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29 | |||
30 | qsrand(time(NULL)); |
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30 | // qsrand(time(NULL)); | |
31 | for (int i = 0; i < 100; i++) |
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31 | // for (int i = 0; i < 100; i++) | |
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32 | // { | |||
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33 | // series->add(QPointF(i*7, qrand()%600)); | |||
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34 | // } | |||
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35 | int k = 10; | |||
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36 | for (int i = 0; i < 25; i++) | |||
32 | { |
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37 | { | |
33 | series->add(QPointF(i*7, qrand()%600)); |
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38 | if (k > 60) | |
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39 | { | |||
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40 | k = 10; | |||
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41 | } | |||
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42 | series->add(QPointF(i*50, k)); | |||
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43 | k +=10; | |||
34 | } |
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44 | } | |
35 |
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45 | |||
36 | series->calculateControlPoints(); |
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46 | series->calculateControlPoints(); | |
37 |
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47 | |||
38 | // QLineSeries* lineSeries = new QLineSeries; |
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48 | // QLineSeries* lineSeries = new QLineSeries; | |
39 | // for (int i = 0; i < series->count() - 1; i++) |
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49 | // for (int i = 0; i < series->count() - 1; i++) | |
40 | // { |
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50 | // { | |
41 | // lineSeries->add(series->at(i).x(), series->at(i).y()); |
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51 | // lineSeries->add(series->at(i).x(), series->at(i).y()); | |
42 | // lineSeries->add(series->controlPoint(2*i).x(), series->controlPoint(2*i).y()); |
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52 | // lineSeries->add(series->controlPoint(2*i).x(), series->controlPoint(2*i).y()); | |
43 | // lineSeries->add(series->controlPoint(2*i + 1).x(), series->controlPoint(2*i + 1).y()); |
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53 | // lineSeries->add(series->controlPoint(2*i + 1).x(), series->controlPoint(2*i + 1).y()); | |
44 | // } |
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54 | // } | |
45 |
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55 | |||
46 | // QLineChartSeries* lineSeries2 = new QLineChartSeries; |
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56 | // QLineChartSeries* lineSeries2 = new QLineChartSeries; | |
47 | // lineSeries2->add(10, 50); |
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57 | // lineSeries2->add(10, 50); | |
48 | // lineSeries2->add(30, 15); |
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58 | // lineSeries2->add(30, 15); | |
49 | // lineSeries2->add(60, 40); |
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59 | // lineSeries2->add(60, 40); | |
50 | // lineSeries2->add(90, 70); |
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60 | // lineSeries2->add(90, 70); | |
51 | // lineSeries2->add(100, 20); |
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61 | // lineSeries2->add(100, 20); | |
52 |
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62 | |||
53 | //create chart view |
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63 | //create chart view | |
54 | QChartView* chart = new QChartView; |
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64 | QChartView* chart = new QChartView; | |
55 | chart->setMinimumSize(800,600); |
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65 | chart->setMinimumSize(800,600); | |
56 | // chart->setGeometry(50, 50, 400, 300); |
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66 | // chart->setGeometry(50, 50, 400, 300); | |
57 | chart->addSeries(series); |
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67 | chart->addSeries(series); | |
58 |
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68 | |||
59 | QGridLayout* mainLayout = new QGridLayout; |
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69 | QGridLayout* mainLayout = new QGridLayout; | |
60 | mainLayout->addWidget(chart); |
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70 | mainLayout->addWidget(chart); | |
61 | setLayout(mainLayout); |
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71 | setLayout(mainLayout); | |
62 | } |
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72 | } | |
63 |
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73 | |||
64 | SplineWidget::~SplineWidget() |
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74 | SplineWidget::~SplineWidget() | |
65 | { |
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75 | { | |
66 |
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76 | |||
67 | } |
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77 | } |
@@ -1,110 +1,110 | |||||
1 | #include "qsplineseries.h" |
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1 | #include "qsplineseries.h" | |
2 |
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2 | |||
3 | QTCOMMERCIALCHART_BEGIN_NAMESPACE |
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3 | QTCOMMERCIALCHART_BEGIN_NAMESPACE | |
4 |
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4 | |||
5 | QSplineSeries::QSplineSeries(QObject *parent) : |
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5 | QSplineSeries::QSplineSeries(QObject *parent) : | |
6 | QLineSeries(parent) |
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6 | QLineSeries(parent) | |
7 | { |
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7 | { | |
8 | } |
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8 | } | |
9 |
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9 | |||
10 | //QSplineSeries& QSplineSeries::operator << (const QPointF &value) |
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10 | //QSplineSeries& QSplineSeries::operator << (const QPointF &value) | |
11 | //{ |
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11 | //{ | |
12 | //// d->m_data.append(value); |
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12 | //// d->m_data.append(value); | |
13 | // m_data.append(value); |
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13 | // m_data.append(value); | |
14 | //// emit changed(); |
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14 | //// emit changed(); | |
15 | // return *this; |
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15 | // return *this; | |
16 | //} |
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16 | //} | |
17 |
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17 | |||
18 | //void QSplineSeries::addData(QPointF value) |
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18 | //void QSplineSeries::addData(QPointF value) | |
19 | //{ |
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19 | //{ | |
20 | // m_data.append(value); |
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20 | // m_data.append(value); | |
21 | //} |
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21 | //} | |
22 |
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22 | |||
23 | void QSplineSeries::calculateControlPoints() |
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23 | void QSplineSeries::calculateControlPoints() | |
24 | { |
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24 | { | |
25 |
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25 | |||
26 | // Based on http://www.codeproject.com/Articles/31859/Draw-a-Smooth-Curve-through-a-Set-of-2D-Points-wit |
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26 | // Based on http://www.codeproject.com/Articles/31859/Draw-a-Smooth-Curve-through-a-Set-of-2D-Points-wit | |
27 | // CPOL Licence |
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27 | // CPOL Licence | |
28 |
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28 | |||
29 | int n = m_x.size() - 1; |
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29 | int n = m_x.size() - 1; | |
30 | if (n == 1) |
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30 | if (n == 1) | |
31 | { // Special case: Bezier curve should be a straight line. |
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31 | { // Special case: Bezier curve should be a straight line. | |
32 | // firstControlPoints = new Point[1]; |
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32 | // firstControlPoints = new Point[1]; | |
33 | // 3P1 = 2P0 + P3 |
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33 | // 3P1 = 2P0 + P3 | |
34 | m_controlPoints.append(QPointF((2 * m_x[0] + m_x[1]) / 3, (2 * m_y[0] + m_y[1]) / 3)); |
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34 | m_controlPoints.append(QPointF((2 * m_x[0] + m_x[1]) / 3, (2 * m_y[0] + m_y[1]) / 3)); | |
35 |
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35 | |||
36 | // P2 = 2P1 P0 |
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36 | // P2 = 2P1 P0 | |
37 | m_controlPoints.append(QPointF(2 * m_controlPoints[0].x() - m_x[0], 2 * m_controlPoints[0].y() - m_y[0])); |
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37 | m_controlPoints.append(QPointF(2 * m_controlPoints[0].x() - m_x[0], 2 * m_controlPoints[0].y() - m_y[0])); | |
38 | return; |
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38 | return; | |
39 | } |
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39 | } | |
40 |
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40 | |||
41 | // Calculate first Bezier control points |
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41 | // Calculate first Bezier control points | |
42 | // Right hand side vector |
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42 | // Right hand side vector | |
43 | // Set of equations for P0 to Pn points. |
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43 | // Set of equations for P0 to Pn points. | |
44 | // |
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44 | // | |
45 | // | 2 1 0 0 ... 0 0 0 ... 0 0 0 | | P1_1 | | P0 + 2 * P1 | |
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45 | // | 2 1 0 0 ... 0 0 0 ... 0 0 0 | | P1_1 | | P0 + 2 * P1 | | |
46 | // | 1 4 1 0 ... 0 0 0 ... 0 0 0 | | P1_2 | | 4 * P1 + 2 * P2 | |
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46 | // | 1 4 1 0 ... 0 0 0 ... 0 0 0 | | P1_2 | | 4 * P1 + 2 * P2 | | |
47 | // | 0 1 4 1 ... 0 0 0 ... 0 0 0 | | P1_3 | | 4 * P2 + 2 * P3 | |
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47 | // | 0 1 4 1 ... 0 0 0 ... 0 0 0 | | P1_3 | | 4 * P2 + 2 * P3 | | |
48 | // | . . . . . . . . . . . . | | ... | | ... | |
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48 | // | . . . . . . . . . . . . | | ... | | ... | | |
49 | // | 0 0 0 0 ... 1 4 1 ... 0 0 0 | * | P1_i | = | 4 * P(i-1) + 2 * Pi | |
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49 | // | 0 0 0 0 ... 1 4 1 ... 0 0 0 | * | P1_i | = | 4 * P(i-1) + 2 * Pi | | |
50 | // | . . . . . . . . . . . . | | ... | | ... | |
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50 | // | . . . . . . . . . . . . | | ... | | ... | | |
51 | // | 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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51 | // | 0 0 0 0 0 0 0 0 ... 1 4 1 | | P1_(n-1)| | 4 * P(n-2) + 2 * P(n-1) | | |
52 | // | 0 0 0 0 0 0 0 0 ... 0 2 7 | | P1_n | | 8 * P(n-1) + Pn | |
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52 | // | 0 0 0 0 0 0 0 0 ... 0 2 7 | | P1_n | | 8 * P(n-1) + Pn | | |
53 | // |
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53 | // | |
54 | QList<qreal> rhs; |
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54 | QList<qreal> rhs; | |
55 | rhs.append(m_x[0] + 2 * m_x[1]); |
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55 | rhs.append(m_x[0] + 2 * m_x[1]); | |
56 |
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56 | |||
57 | // Set right hand side X values |
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57 | // Set right hand side X values | |
58 |
for (int i = 1; i < |
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58 | for (int i = 1; i < n - 1; ++i) | |
59 | rhs.append(4 * m_x[i] + 2 * m_x[i + 1]); |
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59 | rhs.append(4 * m_x[i] + 2 * m_x[i + 1]); | |
60 |
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60 | |||
61 | rhs.append((8 * m_x[n - 1] + m_x[n]) / 2.0); |
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61 | rhs.append((8 * m_x[n - 1] + m_x[n]) / 2.0); | |
62 | // Get first control points X-values |
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62 | // Get first control points X-values | |
63 | QList<qreal> x = getFirstControlPoints(rhs); |
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63 | QList<qreal> x = getFirstControlPoints(rhs); | |
64 | rhs[0] = m_y[0] + 2 * m_y[1]; |
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64 | rhs[0] = m_y[0] + 2 * m_y[1]; | |
65 |
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65 | |||
66 | // Set right hand side Y values |
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66 | // Set right hand side Y values | |
67 |
for (int i = 1; i < |
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67 | for (int i = 1; i < n - 1; ++i) | |
68 | rhs[i] = 4 * m_y[i] + 2 * m_y[i + 1]; |
|
68 | rhs[i] = 4 * m_y[i] + 2 * m_y[i + 1]; | |
69 |
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69 | |||
70 | rhs[n - 1] = (8 * m_y[n - 1] + m_y[n]) / 2.0; |
|
70 | rhs[n - 1] = (8 * m_y[n - 1] + m_y[n]) / 2.0; | |
71 | // Get first control points Y-values |
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71 | // Get first control points Y-values | |
72 | QList<qreal> y = getFirstControlPoints(rhs); |
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72 | QList<qreal> y = getFirstControlPoints(rhs); | |
73 |
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73 | |||
74 | // Fill output arrays. |
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74 | // Fill output arrays. | |
75 | // firstControlPoints = new Point[n]; |
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75 | // firstControlPoints = new Point[n]; | |
76 | // secondControlPoints = new Point[n]; |
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76 | // secondControlPoints = new Point[n]; | |
77 |
for (int i = 0; i < |
|
77 | for (int i = 0; i < n; ++i) | |
78 | { |
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78 | { | |
79 | // First control point |
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79 | // First control point | |
80 | m_controlPoints.append(QPointF(x[i], y[i])); |
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80 | m_controlPoints.append(QPointF(x[i], y[i])); | |
81 | // Second control point |
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81 | // Second control point | |
82 | if (i < n - 1) |
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82 | if (i < n - 1) | |
83 | m_controlPoints.append(QPointF(2 * m_x[i + 1] - x[i + 1], 2 * m_y[i + 1] - y[i + 1])); |
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83 | m_controlPoints.append(QPointF(2 * m_x[i + 1] - x[i + 1], 2 * m_y[i + 1] - y[i + 1])); | |
84 | else |
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84 | else | |
85 | m_controlPoints.append(QPointF((m_x[n] + x[n - 1]) / 2, (m_y[n] + y[n - 1]) / 2)); |
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85 | m_controlPoints.append(QPointF((m_x[n] + x[n - 1]) / 2, (m_y[n] + y[n - 1]) / 2)); | |
86 | } |
|
86 | } | |
87 | } |
|
87 | } | |
88 |
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88 | |||
89 | QList<qreal> QSplineSeries::getFirstControlPoints(QList<qreal> rhs) |
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89 | QList<qreal> QSplineSeries::getFirstControlPoints(QList<qreal> rhs) | |
90 | { |
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90 | { | |
91 | QList<qreal> x; // Solution vector. |
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91 | QList<qreal> x; // Solution vector. | |
92 | QList<qreal> tmp; // Temp workspace. |
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92 | QList<qreal> tmp; // Temp workspace. | |
93 |
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93 | |||
94 | qreal b = 2.0; |
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94 | qreal b = 2.0; | |
95 | x.append(rhs[0] / b); |
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95 | x.append(rhs[0] / b); | |
96 | tmp.append(0); |
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96 | tmp.append(0); | |
97 | for (int i = 1; i < rhs.size(); i++) // Decomposition and forward substitution. |
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97 | for (int i = 1; i < rhs.size(); i++) // Decomposition and forward substitution. | |
98 | { |
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98 | { | |
99 | tmp.append(1 / b); |
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99 | tmp.append(1 / b); | |
100 | b = (i < rhs.size() - 1 ? 4.0 : 3.5) - tmp[i]; |
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100 | b = (i < rhs.size() - 1 ? 4.0 : 3.5) - tmp[i]; | |
101 | x.append((rhs[i] - x[i - 1]) / b); |
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101 | x.append((rhs[i] - x[i - 1]) / b); | |
102 | } |
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102 | } | |
103 | for (int i = 1; i < rhs.size(); i++) |
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103 | for (int i = 1; i < rhs.size(); i++) | |
104 | x[rhs.size() - i - 1] -= tmp[rhs.size() - i] * x[rhs.size() - i]; // Backsubstitution. |
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104 | x[rhs.size() - i - 1] -= tmp[rhs.size() - i] * x[rhs.size() - i]; // Backsubstitution. | |
105 |
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105 | |||
106 | return x; |
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106 | return x; | |
107 | } |
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107 | } | |
108 | #include "moc_qsplineseries.cpp" |
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108 | #include "moc_qsplineseries.cpp" | |
109 |
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109 | |||
110 | QTCOMMERCIALCHART_END_NAMESPACE |
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110 | QTCOMMERCIALCHART_END_NAMESPACE |
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