Mathematica如何展现画函数曲线的过程？

yyy_fcz

最近在学Mathematica，特别喜欢它的画函数曲线的功能。但是，Mathematica都是一下就直接把函数图形画出来了，可我喜欢看函数图形动态生成的过程，特别是一些漂亮的参数函数曲线。请教各位高手，有什么办法让Mathematica绘制函数图形时，慢慢地随着自变量的增加绘制出整个函数图形。以前是用qt编程实现，但太麻烦了，图形也不精致。
多谢！

kastin

用Animate函数就行

1. Animate[ListLinePlot[
   
2.   Table[{(k - 1)*Pi/45, Sin[(k - 1)*Pi/45]}, {k, 1, u}],
   
3.   PlotRange -> {{0, 20}, {-1, 1}}], {u, 1, 150},
   
4. AnimationRunning -> False]

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将上面的PlotRange选项替换为PlotRange -> {-1, 1}，横坐标轴会自动缩放。

wayne

Qt的QtCharts  (C++/ QML )画图效果还算比较精致的吧,毕竟是Graphics/View的框架 画出来的,比QWidget强. 但是 相比Mathematica来说, 还是麻烦些, 倒是事实, 谁叫他是 通用级别的C++库呢.  

除了kastin所提及的 Animate,还可以用Manipulate.

1. Manipulate[Plot[Sin[x + a], {x, -Pi, Pi}], {a, 0, 10, .1}]

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wayne

稍微改了下 Qt自带的例子Multiaxis chart example, 代码 路径是 /opt/Qt5.8.0/Examples/Qt-5.8/charts/multiaxis/

为了动态的画样条曲线,  我加了一个定时器,每次随机产生一个坐标点,添加到曲线里,并刷新.

截图如下, 应该还算很细腻清新的吧, ,不比Mathematica丑:

1. /****************************************************************************
   
2. **
   
3. ** Copyright (C) 2016 The Qt Company Ltd.
   
4. ** Contact: https://www.qt.io/licensing/
   
5. **
   
6. ** This file is part of the Qt Charts module of the Qt Toolkit.
   
7. **
   
8. ** $QT_BEGIN_LICENSE:GPL$
   
9. ** Commercial License Usage
   
10. ** Licensees holding valid commercial Qt licenses may use this file in
    
11. ** accordance with the commercial license agreement provided with the
    
12. ** Software or, alternatively, in accordance with the terms contained in
    
13. ** a written agreement between you and The Qt Company. For licensing terms
    
14. ** and conditions see https://www.qt.io/terms-conditions. For further
    
15. ** information use the contact form at https://www.qt.io/contact-us.
    
16. **
    
17. ** GNU General Public License Usage
    
18. ** Alternatively, this file may be used under the terms of the GNU
    
19. ** General Public License version 3 or (at your option) any later version
    
20. ** approved by the KDE Free Qt Foundation. The licenses are as published by
    
21. ** the Free Software Foundation and appearing in the file LICENSE.GPL3
    
22. ** included in the packaging of this file. Please review the following
    
23. ** information to ensure the GNU General Public License requirements will
    
24. ** be met: https://www.gnu.org/licenses/gpl-3.0.html.
    
25. **
    
26. ** $QT_END_LICENSE$
    
27. **
    
28. ****************************************************************************/
    
29. 
    
30. #include <QtWidgets/QApplication>
    
31. #include <QtWidgets/QMainWindow>
    
32. #include <QtCharts/QChartView>
    
33. #include <QtCharts/QLineSeries>
    
34. #include <QtCharts/QSplineSeries>
    
35. #include <QtCharts/QValueAxis>
    
36. #include <QtCharts/QCategoryAxis>
    
37. #include <QTimer>
    
38. #include <QTime>
    
39. QT_CHARTS_USE_NAMESPACE
    
40. 
    
41. int main(int argc, char *argv[])
    
42. {
    
43.     QApplication a(argc, argv);
    
44. 
    
45.     //![1]
    
46.     QChart *chart = new QChart();
    
47.     chart->legend()->hide();
    
48.     chart->setTitle("Multiaxis chart example");
    
49.     //![1]
    
50. 
    
51.     //![2]
    
52.     QValueAxis *axisX = new QValueAxis;
    
53.     axisX->setTickCount(10);
    
54.     chart->addAxis(axisX, Qt::AlignBottom);
    
55.     //![2]
    
56. 
    
57.     //![3]
    
58.     QSplineSeries *series = new QSplineSeries;
    
59.     *series << QPointF(1, 5) << QPointF(3.5, 18) << QPointF(4.8, 7.5) << QPointF(10, 2.5);
    
60.     chart->addSeries(series);
    
61. 
    
62.     QValueAxis *axisY = new QValueAxis;
    
63.     axisY->setLinePenColor(series->pen().color());
    
64. 
    
65.     chart->addAxis(axisY, Qt::AlignLeft);
    
66.     series->attachAxis(axisX);
    
67.     series->attachAxis(axisY);
    
68.     //![3]
    
69. 
    
70.     //![4]
    
71.     series = new QSplineSeries;
    
72.     *series << QPointF(1, 0.5) << QPointF(1.5, 4.5) << QPointF(2.4, 2.5) << QPointF(4.3, 12.5)
    
73.             << QPointF(5.2, 3.5) << QPointF(7.4, 16.5) << QPointF(8.3, 7.5) << QPointF(10, 17);
    
74.     chart->addSeries(series);
    
75. 
    
76.     QCategoryAxis *axisY3 = new QCategoryAxis;
    
77.     axisY3->append("Low", 5);
    
78.     axisY3->append("Medium", 12);
    
79.     axisY3->append("High", 17);
    
80.     axisY3->setLinePenColor(series->pen().color());
    
81.     axisY3->setGridLinePen((series->pen()));
    
82. 
    
83.     chart->addAxis(axisY3, Qt::AlignRight);
    
84.     series->attachAxis(axisX);
    
85.     series->attachAxis(axisY3);
    
86.     //![4]
    
87. 
    
88.     //![5]
    
89.     QChartView *chartView = new QChartView(chart);
    
90.     chartView->setRenderHint(QPainter::Antialiasing);
    
91.     //![5]
    
92. 
    
93. 
    
94.     QTimer *timer = new QTimer(chart);
    
95.     qsrand(QTime::currentTime().second());
    
96. 
    
97.     QObject::connect(timer,&QTimer::timeout,[=]() {
    
98.         *series<<QPointF(qrand()%10,qrand()%10);
    
99.         chartView->update();
    
100.       });
     
101. 
     
102.     timer->start(100);
     
103. 
     
104.     //![6]
     
105.     QMainWindow window;
     
106.     window.setCentralWidget(chartView);
     
107.     window.resize(800, 600);
     
108.     window.show();
     
109.     //![6]
     
110. 
     
111.     return a.exec();
     
112. }
     

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happysxyf

Mathematica很专业，我只能模仿它，慢慢画，还是基本能满足。只有15KB的绘图器 慢速绘图.rar (15.59 KB, 下载次数: 9)

2017-3-17 21:18 上传

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yyy_fcz

谢谢各位大神！

402

需要好好揣摩