c# - 如何用半径和起止角画圆弧

Question

如果我的 Canvas 元素的 DataContext 中有以下四个属性

Point  Center
double Radius
double StartAngle
double EndAngle

我可以在没有任何额外代码的情况下绘制弧线吗？

Answer 1

事实证明，提供自定义组件是最好的解决方案。我在我的代码中这样使用它

<Controls:Arc Center="{Binding Path=PreviousMousePositionPixels}" 
         Stroke="White" 
         StrokeDashArray="4 4"
         SnapsToDevicePixels="True"
         StartAngle="0" 
         EndAngle="{Binding Path=DeltaAngle}" 
         SmallAngle="True"
         Radius="40" />

SmallAngle 当 true 时，将呈现点之间的小角度，而不考虑 StartAngle 和 EndAngle 的顺序。当 SmallAngle 为 false 时，弧逆时针呈现。

实现是

using System;
using System.Collections.Generic;
using System.Windows;
using System.Windows.Media;
using System.Windows.Shapes;

public sealed class Arc : Shape
{
    public Point Center
    {
        get => (Point)GetValue(CenterProperty);
        set => SetValue(CenterProperty, value);
    }

    // Using a DependencyProperty as the backing store for Center.  This enables animation, styling, binding, etc...
    public static readonly DependencyProperty CenterProperty = 
        DependencyProperty.Register(nameof(Center), typeof(Point), typeof(Arc), 
            new FrameworkPropertyMetadata(new Point(), FrameworkPropertyMetadataOptions.AffectsRender));

    public double StartAngle
    {
        get => (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(nameof(StartAngle), typeof(double), typeof(Arc),
            new FrameworkPropertyMetadata(0.0, FrameworkPropertyMetadataOptions.AffectsRender));

    public double EndAngle
    {
        get => (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(nameof(EndAngle), typeof(double), typeof(Arc),
            new FrameworkPropertyMetadata(Math.PI / 2.0, FrameworkPropertyMetadataOptions.AffectsRender));

    public double Radius
    {
        get => (double)GetValue(RadiusProperty);
        set => SetValue(RadiusProperty, value);
    }

    // Using a DependencyProperty as the backing store for Radius.  This enables animation, styling, binding, etc...
    public static readonly DependencyProperty RadiusProperty =
        DependencyProperty.Register(nameof(Radius), typeof(double), typeof(Arc),
            new FrameworkPropertyMetadata(10.0, FrameworkPropertyMetadataOptions.AffectsRender));

    public bool SmallAngle
    {
        get => (bool)GetValue(SmallAngleProperty);
        set => SetValue(SmallAngleProperty, value);
    }

    // Using a DependencyProperty as the backing store for SmallAngle.  This enables animation, styling, binding, etc...
    public static readonly DependencyProperty SmallAngleProperty =
        DependencyProperty.Register(nameof(SmallAngle), typeof(bool), typeof(Arc),
            new FrameworkPropertyMetadata(false, FrameworkPropertyMetadataOptions.AffectsRender));

    static Arc() => DefaultStyleKeyProperty.OverrideMetadata(typeof(Arc), new FrameworkPropertyMetadata(typeof(Arc)));

    protected override Geometry DefiningGeometry
    {
        get
        {
            double a0 = StartAngle < 0 ? StartAngle + 2 * Math.PI : StartAngle;
            double a1 = EndAngle < 0 ? EndAngle + 2 * Math.PI : EndAngle;

            if (a1 < a0)
                a1 += Math.PI * 2;

            SweepDirection d = SweepDirection.Counterclockwise;
            bool large;

            if (SmallAngle)
            {
                large = false;
                d = (a1 - a0) > Math.PI ? SweepDirection.Counterclockwise : SweepDirection.Clockwise;
            }
            else
                large = (Math.Abs(a1 - a0) < Math.PI);

            Point p0 = Center + new Vector(Math.Cos(a0), Math.Sin(a0)) * Radius;
            Point p1 = Center + new Vector(Math.Cos(a1), Math.Sin(a1)) * Radius;

            List<PathSegment> segments = new List<PathSegment>
            {
                new ArcSegment(p1, new Size(Radius, Radius), 0.0, large, d, true)
            };

            List<PathFigure> figures = new List<PathFigure>
            {
                new PathFigure(p0, segments, true)
                {
                    IsClosed = false
                }
            };

            return new PathGeometry(figures, FillRule.EvenOdd, null);
        }
    }
}