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;
}
}
}