Syntriax.Engine/Engine.Physics2D/Primitives/Shape.cs

using System;
using System.Collections.Generic;

using Syntriax.Engine.Core;

namespace Syntriax.Engine.Physics2D.Primitives;

public record Shape(IList<Vector2D> Vertices)
{
    public Vector2D this[Index index] => Vertices[index];

    public static Triangle GetSuperTriangle(Shape shape)
    {
        float minX = float.MaxValue, minY = float.MaxValue;
        float maxX = float.MinValue, maxY = float.MinValue;

        foreach (Vector2D point in shape.Vertices)
        {
            minX = MathF.Min(minX, point.X);
            minY = MathF.Min(minY, point.Y);
            maxX = MathF.Max(maxX, point.X);
            maxY = MathF.Max(maxY, point.Y);
        }

        float dx = maxX - minX;
        float dy = maxY - minY;
        float deltaMax = MathF.Max(dx, dy);
        float midX = (minX + maxX) / 2;
        float midY = (minY + maxY) / 2;

        Vector2D p1 = new((float)midX - 20f * (float)deltaMax, (float)midY - (float)deltaMax);
        Vector2D p2 = new((float)midX, (float)midY + 20 * (float)deltaMax);
        Vector2D p3 = new((float)midX + 20 * (float)deltaMax, (float)midY - (float)deltaMax);

        return new Triangle(p1, p2, p3);
    }

    public static void GetLines(Shape shape, IList<Line> lines)
    {
        lines.Clear();
        for (int i = 0; i < shape.Vertices.Count - 1; i++)
            lines.Add(new(shape.Vertices[i], shape.Vertices[i + 1]));
        lines.Add(new(shape.Vertices[^1], shape.Vertices[0]));
    }

    public static List<Line> GetLines(Shape shape)
    {
        List<Line> lines = new(shape.Vertices.Count - 1);
        GetLines(shape, lines);
        return lines;
    }

    public static bool ApproximatelyEquals(Shape left, Shape right)
    {
        if (left.Vertices.Count != right.Vertices.Count)
            return false;

        for (int i = 0; i < left.Vertices.Count; i++)
            if (!left.Vertices[i].ApproximatelyEquals(right.Vertices[i]))
                return false;

        return true;
    }
}

public static class ShapeExtensions
{
    public static Triangle ToSuperTriangle(this Shape shape) => Shape.GetSuperTriangle(shape);
    public static void ToLines(this Shape shape, IList<Line> lines) => Shape.GetLines(shape, lines);
    public static List<Line> ToLines(this Shape shape) => Shape.GetLines(shape);

    public static bool ApproximatelyEquals(this Shape left, Shape right) => Shape.ApproximatelyEquals(left, right);
}