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SuperShape.cs
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SuperShape.cs
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using System;
using Avalonia;
using Avalonia.Controls.Shapes;
using Avalonia.Media;
namespace AvaloniaSuperShape
{
// http://paulbourke.net/geometry/supershape/
public class SuperShape : Shape
{
static SuperShape()
{
AffectsGeometry<SuperShape>(
BoundsProperty,
StrokeThicknessProperty,
MProperty,
AProperty,
BProperty,
N1Property,
N2Property,
N3Property,
AspectRatioProperty);
}
public SuperShape()
{
ClipToBounds = true;
}
public static readonly StyledProperty<double> MProperty =
AvaloniaProperty.Register<SuperShape, double>("M", 0);
public double M
{
get => GetValue(MProperty);
set => SetValue(MProperty, value);
}
public static readonly StyledProperty<double> AProperty =
AvaloniaProperty.Register<SuperShape, double>("A", 1);
public double A
{
get => GetValue(AProperty);
set => SetValue(AProperty, value);
}
public static readonly StyledProperty<double> BProperty =
AvaloniaProperty.Register<SuperShape, double>("B", 1);
public double B
{
get => GetValue(BProperty);
set => SetValue(BProperty, value);
}
public static readonly StyledProperty<double> N1Property =
AvaloniaProperty.Register<SuperShape, double>("N1", 0.5);
public double N1
{
get => GetValue(N1Property);
set => SetValue(N1Property, value);
}
public static readonly StyledProperty<double> N2Property =
AvaloniaProperty.Register<SuperShape, double>("N2", 0.5);
public double N2
{
get => GetValue(N2Property);
set => SetValue(N2Property, value);
}
public static readonly StyledProperty<double> N3Property =
AvaloniaProperty.Register<SuperShape, double>("N3", 0.5);
public double N3
{
get => GetValue(N3Property);
set => SetValue(N3Property, value);
}
public static readonly StyledProperty<double> AspectRatioProperty =
AvaloniaProperty.Register<SuperShape, double>("AspectRatio", 1);
public double AspectRatio
{
get => GetValue(AspectRatioProperty);
set => SetValue(AspectRatioProperty, value);
}
protected override Geometry? CreateDefiningGeometry()
{
StreamGeometry geometry = new StreamGeometry();
var totalPoints = 500;
var increment = 2 * Math.PI / totalPoints;
using (StreamGeometryContext context = geometry.Open())
{
var radiusX = (Bounds.Width * AspectRatio - StrokeThickness) / 2;
var radiusY = (Bounds.Height * AspectRatio - StrokeThickness) / 2;
var center = new Point(Bounds.Width / 2, Bounds.Height / 2);
for (double angle = 0; angle <= 2 * Math.PI; angle += increment)
{
var v = GetSupershapeValue(angle);
var x = center.X + radiusX * v * Math.Cos(angle);
var y = center.Y + radiusY * v * Math.Sin(angle);
if (angle == 0)
context.BeginFigure(new Point(x, y), true);
context.LineTo(new Point(x, y));
}
context.EndFigure(true);
}
return geometry;
}
double GetSupershapeValue(double theta)
{
var part1 = (1 / A) * Math.Cos(theta * M / 4);
part1 = Math.Abs(part1);
part1 = Math.Pow(part1, N2);
var part2 = (1 / B) * Math.Sin(theta * M / 4);
part2 = Math.Abs(part2);
part2 = Math.Pow(part2, N3);
var part3 = Math.Pow(part1 + part2, 1 / N1);
if (part3 == 0) {
return 0;
}
return (1 / part3);
}
}
}