using Avalonia.Controls.Selection;
using LeoTurtle;

namespace PinwheelTiling;

public static class PinwheelTilingPath
{
    private const double Alpha = 26.57D;
    private const double Beta = 90D - Alpha;
    private const double Gamma = 90D;
    private static Point _startPoint = new Point(0, 0.2);
    private static Point _endPoint = new Point(0, 0);

    /// <summary>
    ///     Executes the logic for adding turtle path steps.
    ///     Called automatically when application starts.
    /// </summary>
    /// <param name="turtle">The <see cref="SmartTurtle"/> instance to use</param>
    public static void Walk(SmartTurtle turtle)
    {
        var initialTriangle = new Triangle(new Point(2.5D, 10.0D), new Point(82.5D, 50.0D), new Point(82.5D, 10.0D));
        
        const double sideA = 40.0D;
        const double sideB = 80.0D;
        double sideC = CalculateHyptonuse(sideA, sideB);
        MakeTriangle(turtle, sideA, sideB, sideC);
    }

    // TODO - implement your algorithm
    private static void MakeTriangle(SmartTurtle turtle, double sideA, double sideB, double sideC)
    {
        double height = CalculateHeight(sideA, sideB, sideC);
        double sideE = height / 2;
        double sideF = CalculateHyptonuse(sideE, height);
        _endPoint = new Point(_startPoint.X + sideB, _startPoint.Y + sideA);
        
        //Draw it now
        DrawTriangle(turtle, sideA, sideB, sideC, height, sideE, sideF);

        double CalculateHeight(double a, double b, double c)
        {
            double s = (a + b + c) / 2;
            return (2 / c) * Math.Sqrt(s * (s - a) * (s - b) * (s - c));
        }
    }

    private static void DrawTriangle(SmartTurtle turtle, double a, double b, double c, double h, double e, double f)
    {
        //Draw base triangle
        turtle.Teleport(_startPoint.X, _startPoint.Y);
        turtle.Turn(90);
        DrawLine(turtle, b, -Gamma);
        DrawLine(turtle, a, -(Gamma + Alpha));
        DrawLine(turtle, c);
        
        //Draw the height
        turtle.Teleport(_endPoint.X, _startPoint.Y);
        turtle.Turn(-Alpha);
        DrawLine(turtle, e, -90);
        double[] halfHeightPosition = turtle.GetPosition();
        DrawLine(turtle, h);
        turtle.Teleport(halfHeightPosition[0], halfHeightPosition[1]);
        turtle.Turn(-Alpha);
        DrawLine(turtle, e, -(90 + Alpha));
        DrawLine(turtle, f);
        
        //reset angle
        ResetAngle(turtle);
        turtle.Turn(-Alpha);
        DrawLine(turtle, e);
        
        void DrawLine(SmartTurtle turtle, double distance, double angle = 0)
        {
            turtle.MoveForward(distance);
            turtle.Turn(angle);
        }

        void ResetAngle(SmartTurtle turtle)
        {
            turtle.Teleport(turtle.GetPosition()[0], turtle.GetPosition()[1]);
        }
    }
    
    private static double CalculateHyptonuse(double a, double b)
    {
        return Math.Sqrt(Math.Pow(a, 2) + Math.Pow(b, 2));
    }

    /// <summary>
    ///     Converts an angel from degrees to radians.
    /// </summary>
    /// <param name="angleDegrees">Degrees to convert</param>
    /// <returns>Radians value</returns>
    private static double ConvertToRadians(double angleDegrees)
    {
        return angleDegrees * Math.PI / 180D;
    }

    /// <summary>
    ///     Calculates the distance between two points.
    /// </summary>
    /// <param name="a">First point</param>
    /// <param name="b">Second point</param>
    /// <returns>Distance between the two points</returns>
    private static double DistanceBetweenPoints(Point a, Point b)
    {
        return Math.Sqrt(Math.Pow(b.X - a.X, 2D) + Math.Pow(b.Y - a.Y, 2D));
    }
}