Прошу (разобрать) объяснить код

[NonPurpleStar]

Приветствую!
Помогите понять, как происходит закрашивание треугольника в hsv градиент!
В коде разбираюсь плохо, работаю только с блупринтами в ue4.

https://stackoverflow.com/questions/...gle-in-c-sharp

using System.Drawing;
using System.Drawing.Imaging;

void Main()
{
    double hue = 3.3;
    double sat = 0.4;
    double val = 0.9;

    var wheel = new ColorPicker(400);
    var img = wheel.DrawImage(hue, sat, val);
    using (var g = Graphics.FromImage(img))
    {
        var pen = val < 0.5 ? Pens.White : Pens.Black;

        var wheelPosition = wheel.GetWheelPosition(hue);
        g.DrawEllipse(pen, (float)wheelPosition.X - 5, (float)wheelPosition.Y - 5, 10, 10);

        var trianglePosition = wheel.GetTrianglePosition(sat, val);
        g.DrawEllipse(pen, (float)trianglePosition.X - 5, (float)trianglePosition.Y - 5, 10, 10);
    }

    img.Dump(); // LINQPad extension method
}

public class ColorPicker
{
    public int Size { get; }

    public int CenterX => Size / 2;
    public int CenterY => Size / 2;
    public int InnerRadius => Size * 5 / 12;
    public int OuterRadius => Size / 2;

    public ColorPicker(int size = 400)
    {
        Size = size;
    }

    public enum Area
    {
        Outside,
        Wheel,
        Triangle
    }

    public struct PickResult
    {
        public Area Area { get; set; }
        public double? Hue { get; set; }
        public double? Sat { get; set; }
        public double? Val { get; set; }
    }

    public PickResult Pick(double x, double y)
    {
        var distanceFromCenter = Math.Sqrt((x - CenterX) * (x - CenterX) + (y - CenterY) * (y - CenterY));
        var sqrt3 = Math.Sqrt(3);
        if (distanceFromCenter > OuterRadius)
        {
            // Outside
            return new PickResult { Area = Area.Outside };
        }
        else if (distanceFromCenter > InnerRadius)
        {
            // Wheel
            var angle = Math.Atan2(y - CenterY, x - CenterX) + Math.PI / 2;
            if (angle < 0) angle += 2 * Math.PI;
            var hue = angle;
            return new PickResult { Area = Area.Wheel, Hue = hue };
        }
        else
        {
            // Inside
            var x1 = (x - CenterX) * 1.0 / InnerRadius;
            var y1 = (y - CenterY) * 1.0 / InnerRadius;
            if (0 * x1 + 2 * y1 > 1) return new PickResult { Area = Area.Outside };
            else if (sqrt3 * x1 + (-1) * y1 > 1) return new PickResult { Area = Area.Outside };
            else if (-sqrt3 * x1 + (-1) * y1 > 1) return new PickResult { Area = Area.Outside };
            else
            {
                // Triangle
                var sat = (1 - 2 * y1) / (sqrt3 * x1 - y1 + 2);
                var val = (sqrt3 * x1 - y1 + 2) / 3;

                return new PickResult { Area = Area.Triangle, Sat = sat, Val = val };
            }
        }
    }

    public Image DrawImage(double hue = 0.0, double sat = 1.0, double val = 1.0)
    {
        var img = new Bitmap(Size, Size, PixelFormat.Format32bppArgb);
        for (int y = 0; y < Size; y++)
        {
            for (int x = 0; x < Size; x++)
            {
                Color color;
                var result = Pick(x, y);
                if (result.Area == Area.Outside)
                {
                    // Outside
                    color = Color.Transparent;
                }
                else if (result.Area == Area.Wheel)
                {
                    // Wheel
                    color = HSV(result.Hue.Value, sat, val, 1);
                }
                else
                {
                    // Triangle
                    color = HSV(hue, result.Sat.Value, result.Val.Value, 1);
                }
                img.SetPixel(x, y, color);
            }
        }

        return img;
    }

    private Color HSV(double hue, double sat, double val, double alpha)
    {
        var chroma = val * sat;
        var step = Math.PI / 3;
        var interm = chroma * (1 - Math.Abs((hue / step) % 2.0 - 1));
        var shift = val - chroma;
        if (hue < 1 * step) return RGB(shift + chroma, shift + interm, shift + 0, alpha);
        if (hue < 2 * step) return RGB(shift + interm, shift + chroma, shift + 0, alpha);
        if (hue < 3 * step) return RGB(shift + 0, shift + chroma, shift + interm, alpha);
        if (hue < 4 * step) return RGB(shift + 0, shift + interm, shift + chroma, alpha);
        if (hue < 5 * step) return RGB(shift + interm, shift + 0, shift + chroma, alpha);
        return RGB(shift + chroma, shift + 0, shift + interm, alpha);
    }

    private Color RGB(double red, double green, double blue, double alpha)
    {
        return Color.FromArgb(
            Math.Min(255, (int)(alpha * 256)),
            Math.Min(255, (int)(red * 256)),
            Math.Min(255, (int)(green * 256)),
            Math.Min(255, (int)(blue * 256)));
    }

    public PointD GetWheelPosition(double hue)
    {
        double middleRadius = (InnerRadius + OuterRadius) / 2;
        return new PointD
        {
            X = CenterX + middleRadius * Math.Sin(hue),
            Y = CenterY - middleRadius * Math.Cos(hue)
        };
    }

    public PointD GetTrianglePosition(double sat, double val)
    {
        var sqrt3 = Math.Sqrt(3);
        return new PointD
        {
            X = CenterX + InnerRadius * (2 * val - sat * val - 1) * sqrt3 / 2,
            Y = CenterY + InnerRadius * (1 - 3 * sat * val) / 2
        };
    }
}

public class PointD
{
    public double X { get; set; }
    public double Y { get; set; }
}