using System; using System.Windows; using System.Windows.Media; using System.Windows.Shapes; namespace Venus_Themes.CustomControls { public class Arc : Shape { private Geometry Data { get { return (Geometry)GetValue(DataProperty); } set { SetValue(DataProperty, value); } } // Using a DependencyProperty as the backing store for Data. This enables animation, styling, binding, etc... public static readonly DependencyProperty DataProperty = DependencyProperty.Register("Data", typeof(Geometry), typeof(Arc), new PropertyMetadata((Geometry)Geometry.Parse(""), (s, e) => { if (s is Arc arc && e.NewValue.ToString() != e.OldValue.ToString()) { arc.InvalidateVisual(); } })); public Rect Rect { get { return (Rect)GetValue(RectProperty); } set { SetValue(RectProperty, value); } } // Using a DependencyProperty as the backing store for Rect. This enables animation, styling, binding, etc... public static readonly DependencyProperty RectProperty = DependencyProperty.Register("Rect", typeof(Rect), typeof(Arc), new PropertyMetadata(default(Rect), propertyChangedCallback)); public double StartAngle { get { return (double)GetValue(StartAngleProperty); } set { SetValue(StartAngleProperty, value); } } // Using a DependencyProperty as the backing store for StartAngle. This enables animation, styling, binding, etc... public static readonly DependencyProperty StartAngleProperty = DependencyProperty.Register("StartAngle", typeof(double), typeof(Arc), new PropertyMetadata(0.0, propertyChangedCallback)); public double EndAngle { get { return (double)GetValue(EndAngleProperty); } set { SetValue(EndAngleProperty, value); } } // Using a DependencyProperty as the backing store for EndAngle. This enables animation, styling, binding, etc... public static readonly DependencyProperty EndAngleProperty = DependencyProperty.Register("EndAngle", typeof(double), typeof(Arc), new PropertyMetadata(0.0, propertyChangedCallback)); protected override Geometry DefiningGeometry { get { return (Geometry)GetValue(DataProperty); } } private static void propertyChangedCallback(DependencyObject d, DependencyPropertyChangedEventArgs e) { if (d is Arc arc) { // 判断绘制的圆弧是否可见,以提高性能 if (arc.Rect.Width > 0 && arc.Rect.Height > 0 && arc.StartAngle != arc.EndAngle) { double ellipseA = arc.Rect.Width / 2; double ellipseB = arc.Rect.Height / 2; // 起止角度间隔大于等于360°,直接画圆 if (Math.Abs(arc.StartAngle - arc.EndAngle) >= 360) { string data = $"M{arc.Rect.X + ellipseA * 2},{arc.Rect.Y + ellipseB + 0.001} A{ellipseA},{ellipseB} 0,1,1 {arc.Rect.X + ellipseA * 2},{arc.Rect.Y + ellipseB}z"; arc.Data = (Geometry)Geometry.Parse(data); return; } // 椭圆公式:X²/a²+Y²/b²=1 // Rect与椭圆各参数的对应关系: // Rect.X与Rect.Y分别是椭圆外接矩形相对Arc区域的左上角的偏移量; // Rect.Width与Rect.Height分别是椭圆外接矩形的宽和高 // 以下根据StartAngle和EndAngle算出圆弧在矩形函数曲线中的起始点和终止点 // 判断绘制方向 bool clockWise = arc.EndAngle > arc.StartAngle; // 判断优弧/劣弧 bool majorArc = Math.Abs(arc.StartAngle - arc.EndAngle) % 360 >= 180; // 将起始点和终止点转化为椭圆上的坐标 double rad = 0; Point startPoint = new Point(); if ((90 - arc.StartAngle) % 360 == 0) { startPoint.X = 0; startPoint.Y = ellipseB; } else if ((270 - arc.StartAngle) % 360 == 0) { startPoint.X = 0; startPoint.Y = -ellipseB; } else { rad = GetRadian(arc.StartAngle); startPoint.X = ellipseA * ellipseB / Math.Sqrt(Math.Pow(ellipseB, 2) + Math.Pow(ellipseA * Math.Tan(rad), 2)); startPoint.X *= Math.Cos(rad) > 0 ? 1 : -1; startPoint.Y = startPoint.X * Math.Tan(rad); } Point endPoint = new Point(); if ((90 - arc.EndAngle) % 360 == 0) { endPoint.X = 0; endPoint.Y = ellipseB; } else if ((270 - arc.EndAngle) % 360 == 0) { endPoint.X = 0; endPoint.Y = -ellipseB; } else { rad = GetRadian(arc.EndAngle); endPoint.X = ellipseA * ellipseB / Math.Sqrt(Math.Pow(ellipseB, 2) + Math.Pow(ellipseA * Math.Tan(rad), 2)); endPoint.X *= Math.Cos(rad) > 0 ? 1 : -1; endPoint.Y = endPoint.X * Math.Tan(rad); } string pathData = $"M{startPoint.X + ellipseA + arc.Rect.X},{startPoint.Y + ellipseB + arc.Rect.Y} "; pathData += $"A{ellipseA},{ellipseB} "; pathData += $"0,{(majorArc ? "1" : "0")},{(clockWise ? "1" : "0")} "; pathData += $"{endPoint.X + ellipseA + arc.Rect.X},{endPoint.Y + ellipseB + arc.Rect.Y}"; arc.Data = (Geometry)Geometry.Parse(pathData); } else { arc.Data = (Geometry)Geometry.Parse(""); } } } /// /// 将角度转化为弧度 /// /// /// private static double GetRadian(double angle) { return angle / 180.0 * Math.PI; } } }