Dashboard/Quik/QuikGeometry.cs

using System;

namespace Quik
{
    /// <summary>
    /// A 2 dimensional Vector.
    /// </summary>
    public struct QuikVec2
    {
        public float X;
        public float Y;

        public float Length() => MathF.Sqrt(X * X + Y * Y);

        public QuikVec2 Normalize() => this * (1.0f / this.Length());

        public float Atan2() => MathF.Atan2(Y, X);
        public static QuikVec2 operator +(QuikVec2 a, QuikVec2 b)
        {
            return new QuikVec2()
            {
                X = a.X + b.X,
                Y = a.Y + b.Y
            };
        }

        public static QuikVec2 operator -(QuikVec2 a)
        {
            return new QuikVec2()
            {
                X = -a.X,
                Y = -a.Y
            };
        }

        public static QuikVec2 operator -(QuikVec2 a, QuikVec2 b)
        {
            return new QuikVec2()
            {
                X = a.X - b.X,
                Y = a.Y - b.Y
            };
        }

        public static QuikVec2 operator *(float a, QuikVec2 b)
        {
            return new QuikVec2()
            {
                X = a * b.X,
                Y = a * b.Y
            };
        }

        public static QuikVec2 operator *(QuikVec2 a, float b) => b * a;
    }

    /// <summary>
    /// A RGBA color value.
    /// </summary>
    public struct QuikColor
    {
        /// <summary>
        /// Red channel.
        /// </summary>
        public byte R;
        /// <summary>
        /// Green channel.
        /// </summary>
        public byte G;
        /// <summary>
        /// Blue channel.
        /// </summary>
        public byte B;
        /// <summary>
        /// Alpha channel.
        /// </summary>
        public byte A;

        public QuikColor(byte r, byte g, byte b, byte a)
        {
            R = r;
            G = g;
            B = b;
            A = a;
        }
        
        public QuikColor(byte r, byte g, byte b) : this(r, g, b, 1) { }

        public QuikColor(int hexCode)
        {
            R = (byte)((hexCode >> 24) & 0xFF);
            G = (byte)((hexCode >> 16) & 0xFF);
            B = (byte)((hexCode >> 8 ) & 0xFF);
            A = (byte)((hexCode >> 0 ) & 0xFF);
        }
    }
    
    /// <summary>
    /// A bezier curve segment.
    /// </summary>
    public struct QuikBezier
    {
        /// <summary>
        /// Segment start point.
        /// </summary>
        public QuikVec2 Start;
        
        /// <summary>
        /// Start point control point.
        /// </summary>
        public QuikVec2 ControlA;
        
        /// <summary>
        /// End point control point.
        /// </summary>
        public QuikVec2 ControlB;
        
        /// <summary>
        /// Segment end point.
        /// </summary>
        public QuikVec2 End;

        /// <summary>
        /// Get a point in the curve segment.
        /// </summary>
        /// <param name="t">Control parameter (between 0 and 1)</param>
        /// <returns>The point on the curve.</returns>
        public QuikVec2 GetBezierPoint(float t)
        {
            return
                (1 - t) * (1 - t) * (1 - t) * Start +
                (1 - t) * (1 - t) * t       * ControlA +
                (1 - t) * t       * t       * ControlB +
                t       * t       * t       * End;
        }

        /// <summary>
        /// Get the tangent on the curve.
        /// </summary>
        /// <param name="t">Control parameter (between 0 and 1)</param>
        /// <returns>The tangent curve.</returns>
        public QuikVec2 GetBezierTangent(float t)
        {
            return
                3 * (1 - t) * (1 - t) * (ControlA - Start) +
                6 * (1 - t)           * (ControlB - ControlA) +
                3 * t       * t       * (End - ControlB);
        }
    }

    /// <summary>
    /// A line segment.
    /// </summary>
    public struct QuikLine
    {
        /// <summary>
        /// Start point.
        /// </summary>
        public QuikVec2 Start;
        
        /// <summary>
        /// End point.
        /// </summary>
        public QuikVec2 End;
    }

    /// <summary>
    /// A rectangle.
    /// </summary>
    public struct QuikRectangle
    {
        /// <summary>
        /// Rectangle minimum point.
        /// </summary>
        public QuikVec2 Min;
        
        /// <summary>
        /// Rectangle maximum point.
        /// </summary>
        public QuikVec2 Max;

        public QuikRectangle(float l, float t, float r, float b)
        {
            Min = new QuikVec2() {X = r, Y = b};
            Max = new QuikVec2() {X = l, Y = t};
        }
    }

    /// <summary>
    /// An ellipse.
    /// </summary>
    /// <remarks>It is undefined to have an ellipse with non-orthogonal axes.</remarks>
    public struct QuikEllipse
    {
        /// <summary>
        /// Ellipse center point.
        /// </summary>
        public QuikVec2 Center;
        
        /// <summary>
        /// First ellipse axis.
        /// </summary>
        public QuikVec2 AxisA;
        
        /// <summary>
        /// Second ellipse axis.
        /// </summary>
        public QuikVec2 AxisB;
    }

    /// <summary>
    /// A triangle.
    /// </summary>
    public struct QuikTriangle
    {
        /// <summary>
        /// First vertex.
        /// </summary>
        public QuikVec2 A;
        
        /// <summary>
        /// Second vertex.
        /// </summary>
        public QuikVec2 B;
        
        /// <summary>
        /// Third vertex.
        /// </summary>
        public QuikVec2 C;
    }
}