Mathematica如何展现画函数曲线的过程？
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！ 用Animate函数就行
Animate[ListLinePlot[
Table[{(k - 1)*Pi/45, Sin[(k - 1)*Pi/45]}, {k, 1, u}],
PlotRange -> {{0, 20}, {-1, 1}}], {u, 1, 150},
AnimationRunning -> False]将上面的PlotRange选项替换为PlotRange -> {-1, 1}，横坐标轴会自动缩放。 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.
Manipulate, {x, -Pi, Pi}], {a, 0, 10, .1}]
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:
/****************************************************************************
**
** Copyright (C) 2016 The Qt Company Ltd.
** Contact: https://www.qt.io/licensing/
**
** This file is part of the Qt Charts module of the Qt Toolkit.
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** $QT_BEGIN_LICENSE:GPL$
** Commercial License Usage
** Licensees holding valid commercial Qt licenses may use this file in
** accordance with the commercial license agreement provided with the
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** and conditions see https://www.qt.io/terms-conditions. For further
** information use the contact form at https://www.qt.io/contact-us.
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** GNU General Public License Usage
** Alternatively, this file may be used under the terms of the GNU
** General Public License version 3 or (at your option) any later version
** approved by the KDE Free Qt Foundation. The licenses are as published by
** the Free Software Foundation and appearing in the file LICENSE.GPL3
** included in the packaging of this file. Please review the following
** information to ensure the GNU General Public License requirements will
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****************************************************************************/
#include <QtWidgets/QApplication>
#include <QtWidgets/QMainWindow>
#include <QtCharts/QChartView>
#include <QtCharts/QLineSeries>
#include <QtCharts/QSplineSeries>
#include <QtCharts/QValueAxis>
#include <QtCharts/QCategoryAxis>
#include <QTimer>
#include <QTime>
QT_CHARTS_USE_NAMESPACE
int main(int argc, char *argv[])
{
QApplication a(argc, argv);
//!
QChart *chart = new QChart();
chart->legend()->hide();
chart->setTitle("Multiaxis chart example");
//!
//!
QValueAxis *axisX = new QValueAxis;
axisX->setTickCount(10);
chart->addAxis(axisX, Qt::AlignBottom);
//!
//!
QSplineSeries *series = new QSplineSeries;
*series << QPointF(1, 5) << QPointF(3.5, 18) << QPointF(4.8, 7.5) << QPointF(10, 2.5);
chart->addSeries(series);
QValueAxis *axisY = new QValueAxis;
axisY->setLinePenColor(series->pen().color());
chart->addAxis(axisY, Qt::AlignLeft);
series->attachAxis(axisX);
series->attachAxis(axisY);
//!
//!
series = new QSplineSeries;
*series << QPointF(1, 0.5) << QPointF(1.5, 4.5) << QPointF(2.4, 2.5) << QPointF(4.3, 12.5)
<< QPointF(5.2, 3.5) << QPointF(7.4, 16.5) << QPointF(8.3, 7.5) << QPointF(10, 17);
chart->addSeries(series);
QCategoryAxis *axisY3 = new QCategoryAxis;
axisY3->append("Low", 5);
axisY3->append("Medium", 12);
axisY3->append("High", 17);
axisY3->setLinePenColor(series->pen().color());
axisY3->setGridLinePen((series->pen()));
chart->addAxis(axisY3, Qt::AlignRight);
series->attachAxis(axisX);
series->attachAxis(axisY3);
//!
//!
QChartView *chartView = new QChartView(chart);
chartView->setRenderHint(QPainter::Antialiasing);
//!
QTimer *timer = new QTimer(chart);
qsrand(QTime::currentTime().second());
QObject::connect(timer,&QTimer::timeout,[=]() {
*series<<QPointF(qrand()%10,qrand()%10);
chartView->update();
});
timer->start(100);
//!
QMainWindow window;
window.setCentralWidget(chartView);
window.resize(800, 600);
window.show();
//!
return a.exec();
}
本帖最后由 happysxyf 于 2017-3-17 21:27 编辑
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
谢谢各位大神！ 需要好好揣摩
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