实例介绍
按照cos、sin运动轨迹描绘做出几何图像。参照此类方式可制作多种动态数学几何图形。
代码均为后台代码,可加强对path、曲线、扇形、storyboard等知识的学习理解。
最开始运行0.5秒,描述有些不整齐,自行修正。
编译已设置“优化代码”。
代码可以优化,如有错误自行修正。
代码均为后台代码,可加强对path、曲线、扇形、storyboard等知识的学习理解。
最开始运行0.5秒,描述有些不整齐,自行修正。
编译已设置“优化代码”。
代码可以优化,如有错误自行修正。
图像录制效果不好,在代码中运行查看效果。
/// <summary> /// 描述cos、sin图像 /// </summary> /// <param name="obj">父容器</param> private void Draw_init(Canvas obj) { // 绘制坐标 Draw_Line(obj, new Point(100, 300), new Point(870, 300), Colors.LightSlateGray, 0.5); Draw_Line(obj, new Point(600, 20), new Point(600, 570), Colors.LightSlateGray, 0.5); // 绘制背景网格横线 for (int i = 0; i < 6; i ) { double r = i < 3 ? 600 : 870; Draw_Line(obj, new Point(100, 50 i * 100), new Point(r, 50 i * 100), Colors.LightSlateGray, 0.1); } // 绘制背景网格竖线、弧线 for (int i=0;i<3;i ) { Draw_Line(obj, new Point(450-i*150, 50), new Point(450-i*150, 250), Colors.LightSlateGray, 0.1); Draw_Line(obj, new Point(450 - i * 150, 350), new Point(450 - i * 150, 550), Colors.LightSlateGray, 0.1); Draw_Line(obj, new Point(650 i * 100, 300), new Point(650 i * 100, 570), Colors.LightSlateGray, 0.2); Path bsin = new Path() { Stroke = Brushes.LightSlateGray, StrokeThickness = 0.2, Data = Geometry.Parse("M 0, -" (50 i * 100) " A" (50 i * 100) ", " (50 i * 100) " 0 0 1 " (50 i * 100) ", 0") }; Canvas.SetLeft(bsin, 600); Canvas.SetTop(bsin, 300); obj.Children.Add(bsin); } // 文字 string[] ctext = new string[] { "Sin","Cos"}; for (int i = 0; i < 2; i ) { Color color = i == 0 ? Colors.Blue : Colors.Red; TextBlock text = new TextBlock() { Foreground = new SolidColorBrush(color), FontSize = 15, FontWeight = FontWeights.Bold, FontStyle = FontStyles.Oblique, Text = ctext[i], Opacity = 0.6 }; Canvas.SetLeft(text, 100); Canvas.SetTop(text, 25 i*300); obj.Children.Add(text); TextBlock flag = new TextBlock() { Foreground = Brushes.DarkOrange, FontSize = 15, FontWeight = FontWeights.Bold, FontStyle = FontStyles.Oblique, Text = "θ", Opacity = 0.6 }; Canvas.SetLeft(flag, 130); Canvas.SetTop(flag, 25 i * 300); obj.Children.Add(flag); } TextBlock angel_flag = new TextBlock() { Foreground = Brushes.DarkOrange, FontSize = 15, FontWeight = FontWeights.Bold, FontStyle = FontStyles.Oblique, Text = "θ = ", Opacity = 0.6 }; Canvas.SetLeft(angel_flag, 780); Canvas.SetTop(angel_flag, 40 ); obj.Children.Add(angel_flag); // 圆外框//////////////////////////////////////////////////////////////////////////////////////////////////////////////// Path path_border = new Path() { Stroke = Brushes.Green, StrokeThickness = 1, Data = Geometry.Parse(rotation) }; Canvas.SetLeft(path_border, 850); Canvas.SetTop(path_border, 450); obj.Children.Add(path_border); // 圆内、外线段//////////////////////////////////////////////////////////////////////////////////////////////////////////////// line_circular = new LineGeometry() { StartPoint = new Point(-100, 0), EndPoint = new Point(0, 0) }; Path path_lineCircular = new Path() { Stroke = Brushes.LightGreen, StrokeThickness = 1, Data = line_circular }; obj.RegisterName("LineCircular", line_circular); Canvas.SetLeft(path_lineCircular, 850); Canvas.SetTop(path_lineCircular, 450); obj.Children.Add(path_lineCircular); story_lineCircular = new Storyboard(); PathGeometry pathLineCircularGeometry = new PathGeometry() { Figures = PathFigureCollection.Parse(rotation) }; Set_Locus(obj, pathLineCircularGeometry, delay, "LineCircular", "EndPoint", story_lineCircular); story_lineCircular.Begin(obj, true); story_lineCircular.Pause(obj); // 圆心点、运动轨迹//////////////////////////////////////////////////////////////////////////////////////////////////////////////// circular_elips = new EllipseGeometry() { Center = new Point(0, 0), RadiusX = 3, RadiusY = 3, }; Path path_circular = new Path() { Fill = Brushes.Green, Data = circular_elips, }; Panel.SetZIndex(path_circular,999); obj.RegisterName("Circular", circular_elips); Canvas.SetLeft(path_circular, 850); Canvas.SetTop(path_circular, 450); obj.Children.Add(path_circular); story_circular = new Storyboard(); PathGeometry pathGeometry = new PathGeometry() { Figures = PathFigureCollection.Parse("M 0,0 A 100,100 45 1 0 0,1 Z") }; Set_Locus(obj, pathGeometry, delay, "Circular", "Center", story_circular); story_circular.Begin(obj, true); story_circular.Pause(obj); // 圆内扇形//////////////////////////////////////////////////////////////////////////////////////////////////////////////// Draw_Sector(obj); // 圆内圆心点//////////////////////////////////////////////////////////////////////////////////////////////////////////////// EllipseGeometry center_elips = new EllipseGeometry() { Center = new Point(0, 0), RadiusX = 3, RadiusY = 3, }; Path path_center = new Path() { Fill = Brushes.DarkOrange, Data = center_elips }; Canvas.SetLeft(path_center, 750); Canvas.SetTop(path_center, 450); obj.Children.Add(path_center); // 圆外指示线段//////////////////////////////////////////////////////////////////////////////////////////////////////////////// line_cos = new LineGeometry() { StartPoint = new Point(0, 0), EndPoint = new Point(0, 150) }; Path path_lineCos = new Path() { Stroke = Brushes.LightBlue, StrokeThickness = 1, Data = line_cos }; Canvas.SetLeft(path_lineCos, 850); Canvas.SetTop(path_lineCos, 300); obj.Children.Add(path_lineCos); line_sin = new LineGeometry() { StartPoint = new Point(0, 0), EndPoint = new Point(150, 0) }; Path path_lineSin = new Path() { Stroke = Brushes.LightCoral, StrokeThickness = 1, Data = line_sin }; Canvas.SetLeft(path_lineSin, 600); Canvas.SetTop(path_lineSin, 450); obj.Children.Add(path_lineSin); // 圆内扇、扇形运动轨迹//////////////////////////////////////////////////////////////////////////////////////////////////////////////// path_CosSector = new Path() { Stroke = Brushes.LightBlue, Data = Geometry.Parse("M0, 0 L0, -250 A250, 250 0 0 1 250, 0") }; Canvas.SetLeft(path_CosSector, 600); Canvas.SetTop(path_CosSector, 300); obj.Children.Add(path_CosSector); cosx_elips = new EllipseGeometry() { Center = new Point(0, 0), RadiusX = 3, RadiusY = 3, }; Path path_cosx = new Path() { Fill = Brushes.Blue, Data = cosx_elips }; cosx_elips.Changed = Cosx_elips_Changed; Canvas.SetLeft(path_cosx, 850); Canvas.SetTop(path_cosx, 300); Panel.SetZIndex(path_cosx, 999); obj.Children.Add(path_cosx); cosy_elips = new EllipseGeometry() { Center = new Point(0, -50), RadiusX = 3, RadiusY = 3, }; Path path_cosy = new Path() { Fill = Brushes.Blue, Data = cosy_elips }; Canvas.SetLeft(path_cosy, 600); Canvas.SetTop(path_cosy, 100); Panel.SetZIndex(path_cosy, 999); obj.Children.Add(path_cosy); sin_elips = new EllipseGeometry() { Center = new Point(0, 0), RadiusX = 3, RadiusY = 3, }; Path path_sin = new Path() { Fill = Brushes.Red, Data = sin_elips }; sin_elips.Changed = Sin_elips_Changed; Canvas.SetLeft(path_sin, 600); Canvas.SetTop(path_sin, 450); Panel.SetZIndex(path_sin,999); obj.Children.Add(path_sin); // 开始动画//////////////////////////////////////////////////////////////////////////////////////////////////////////////// story_circular.Begin(obj, true); story_lineCircular.Begin(obj, true); story_arc.Begin(obj, true); Task.Factory.StartNew(() => { Modify_Sector(); }); } /// <summary> /// sin坐标值发生变化 /// </summary> /// <param name="sender"></param> /// <param name="e"></param> private void Sin_elips_Changed(object sender, EventArgs e) { double radius = Math.Abs(250 circular_elips.Center.X); path_CosSector.Data = Geometry.Parse("M0, 0 L0, " (-radius) " A" radius ", " radius " 0 0 1 " radius ", 0"); for (int i = 0; i < pcurve_sin.Points.Count; i ) { pcurve_sin.Points[i] = new Point(pcurve_sin.Points[i].X - 1, pcurve_sin.Points[i].Y); } pcurve_sin.Points.Add(new Point(598, sin_elips.Center.Y 450)); if (pcurve_sin.Points.Count > 500) { pcurve_sin.Points.RemoveAt(0); } } /// <summary> /// cos坐标值发生变化 /// </summary> /// <param name="sender"></param> /// <param name="e"></param> private void Cosx_elips_Changed(object sender, EventArgs e) { double radius = Math.Abs(250 circular_elips.Center.X); path_CosSector.Data = Geometry.Parse("M0, 0 L0, " (-radius) " A" radius ", " radius " 0 0 1 " radius ", 0"); for (int i = 0; i < pcurve_cos.Points.Count; i ) { pcurve_cos.Points[i] = new Point(pcurve_cos.Points[i].X - 1, pcurve_cos.Points[i].Y); } pcurve_cos.Points.Add(new Point(598, cosy_elips.Center.Y 100)); if (pcurve_cos.Points.Count > 500) { pcurve_cos.Points.RemoveAt(0); } } private Line line_axle, line_minaxle; private Path arc_move; private EllipseGeometry arc_elips; private Path pd, pn, min_pd, min_pn; /// <summary> /// 2个扇形、圆外线段位置变化 跨线程设置变动 /// </summary> private void Modify_Sector() { while (true) { this.Dispatcher.InvokeAsync(() => { if (arc_elips.Center.Y <= 0) { pn.Data = Geometry.Parse("M0,0 L0,0 A0,0 0 0 1 0,0"); line_axle.Stroke = Brushes.Transparent; string d = "M0,0 L" (35 arc_elips.Center.X) "," (arc_elips.Center.Y) " A35,35 0 0 1 35,0 Z"; pd.Data = Geometry.Parse(d); min_pn.Data = Geometry.Parse("M0,0 L0,0 A0,0 0 0 1 0,0"); line_minaxle.Stroke = Brushes.Transparent; string md = "M0,0 L" (35 arc_elips.Center.X) "," (arc_elips.Center.Y) " A35,35 0 0 1 35,0 Z"; min_pd.Data = Geometry.Parse(md); } else { pd.Data = Geometry.Parse("M -35, 0 A35, 35 0 0 1 35, 0"); line_axle.Stroke = Brushes.DarkOrange; string n = "M0,0 L" (35 arc_elips.Center.X) "," (arc_elips.Center.Y) " A35,35 0 0 1 -35,00"; pn.Data = Geometry.Parse(n); min_pd.Data = Geometry.Parse("M -35, 0 A35, 35 0 0 1 35, 0"); line_minaxle.Stroke = Brushes.Gold; string mn = "M0,0 L" (35 arc_elips.Center.X) "," (arc_elips.Center.Y) " A35,35 0 0 1 -35,00"; min_pn.Data = Geometry.Parse(mn); } line_cos.StartPoint = new Point(circular_elips.Center.X, circular_elips.Center.Y 150); line_cos.EndPoint = new Point(circular_elips.Center.X, 0); line_sin.StartPoint = new Point(0, circular_elips.Center.Y); line_sin.EndPoint = new Point(circular_elips.Center.X 250, circular_elips.Center.Y); cosx_elips.Center = new Point(circular_elips.Center.X, 0); cosy_elips.Center = new Point(0, -(circular_elips.Center.X 50)); sin_elips.Center = new Point(0, circular_elips.Center.Y); }); Thread.Sleep(5); } } /// <summary> /// 画2个扇形指示 /// </summary> /// <param name="obj"></param> private void Draw_Sector(Canvas obj) { pd = new Path() { Fill = Brushes.Gold, Stroke = Brushes.DarkOrange, StrokeThickness = 0.5, Opacity = 0.5 }; Canvas.SetLeft(pd, 750); Canvas.SetTop(pd, 450); obj.Children.Add(pd); pn = new Path() { Fill = Brushes.Gold, Stroke = Brushes.DarkOrange, StrokeThickness = 0.5, Opacity = 0.5 }; Canvas.SetLeft(pn, 750); Canvas.SetTop(pn, 450); obj.Children.Add(pn); min_pd = new Path() { Fill = Brushes.LightGoldenrodYellow, Stroke = Brushes.Gold, StrokeThickness = 0.5, }; Canvas.SetLeft(min_pd, 850); Canvas.SetTop(min_pd, 50); obj.Children.Add(min_pd); line_axle = new Line() { Stroke = Brushes.Transparent, StrokeThickness = 0.5, X1 = 750, Y1 = 450, X2 = 785, Y2 = 450, Opacity = 0.9 }; obj.Children.Add(line_axle); min_pn = new Path() { Fill = Brushes.LightGoldenrodYellow, Stroke = Brushes.Gold, StrokeThickness = 0.5, }; Canvas.SetLeft(min_pn, 850); Canvas.SetTop(min_pn, 50); obj.Children.Add(min_pn); line_minaxle = new Line() { Stroke = Brushes.Transparent, StrokeThickness = 0.5, X1 = 850, Y1 = 50, X2 = 885, Y2 = 50, }; obj.Children.Add(line_minaxle); Path min_elips = new Path() { Stroke = Brushes.Gold, StrokeThickness = 0.5, Data = Geometry.Parse("M 0, 0 A 35, 35 45 1 0 0, 1 Z") }; Canvas.SetLeft(min_elips,885); Canvas.SetTop(min_elips,50); obj.Children.Add(min_elips); Path min_center = new Path() { Fill = Brushes.Gold, Data = Geometry.Parse("M 0, 0 A 3, 3 45 1 0 0, 1 Z") }; Canvas.SetLeft(min_center, 852.5); Canvas.SetTop(min_center, 50); obj.Children.Add(min_center); arc_move = new Path(); arc_elips = new EllipseGeometry() { Center = new Point(0, 0) }; arc_move.Data = arc_elips; Canvas.SetLeft(arc_move, 783); Canvas.SetTop(arc_move, 450); obj.RegisterName("Arc_Move", arc_elips); obj.Children.Add(arc_move); story_arc = new Storyboard(); PathGeometry fanGeometry = new PathGeometry() { Figures = PathFigureCollection.Parse("M 0,0 A 35,35 45 1 0 0,1 Z") }; Set_Locus(obj, fanGeometry, delay, "Arc_Move", "Center", story_arc); }
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