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Fractal: Symmetric Galaxy 1 (WPF with C#)



//   SymmetricGalaxy1_WPF\MainWindow.xaml.cs
//   Symmetric Galaxy 1 with Dots
//    (WPF application with C#
//     on Microsoft Visual Studio Express 2013 for Windows Desktop)
//   Dec. 16, 2014, by Masao Sakuraba
//   (Ref. 1-6 guided me to this program.)
//   * NOTE1: Blue-color parts were automatically generated by Visual Studio.
//   * NOTE2: Red-color parts were newly added.


using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows;
using System.Windows.Controls;
using System.Windows.Data;
using System.Windows.Documents;
using System.Windows.Input;
using System.Windows.Media;
using System.Windows.Media.Imaging;
using System.Windows.Navigation;
using System.Windows.Shapes;
using System.Diagnostics;       // Namespace for class "Stopwatch".
using ThinkLib;                 // After adding the file "ThinkLib.dll" as a reference [1,2].

namespace SymmetricGalaxy1_WPF
{
    /// <summary>
    /// MainWindow.xaml の相互作用ロジック
    /// </summary>
    public partial class MainWindow : Window
    {
        Turtle pen1;    // Make a turtle using ThinkLib [3].

        double PI = 3.141592654;
        double DotSize = 2.0;
        double Length = 220.0;
        double Angle = 32.0;
        double Scale = 1.13;
        int N_branch = 4;
        int N_repeat = 4;
        int Complexity = 3;

        void PatternGenerator1(Turtle _pen, double _length, int _complexity)
        {
            int i, j;
           
            if (_complexity == 0 | _length < 2.4)
            {
                _pen.BrushDown = false;
                _pen.Forward(- DotSize / 2);
                _pen.BrushDown = true;
                _pen.Forward(DotSize);
                _pen.BrushDown = false;
                _pen.Forward(- DotSize / 2);
            }
            else
            {
                for (i = 0; i < N_branch; i++)
                {
                    if (i == 0)
                    {
                        _pen.LineBrush = Brushes.White;
                        PatternGenerator1(_pen, _length / (2 * N_repeat + 1), _complexity - 1);
                    }                                                        // Recursion [4,5].
                    if (i % N_branch == 0)
                        _pen.LineBrush = Brushes.Yellow;
                    if (i % N_branch == 1)
                        _pen.LineBrush = Brushes.LightSkyBlue;
                    if (i % N_branch == 2)
                        _pen.LineBrush = Brushes.Fuchsia;
                    if (i % N_branch == 3)
                        _pen.LineBrush = Brushes.LightGreen;
                    for (j = 1; j <= N_repeat; j++)
                    {
                        _pen.Forward(_length / (2 * N_repeat + 1) * Math.Pow(Scale, j - 1));
                        _pen.Forward(_length / (2 * N_repeat + 1) * Math.Pow(Scale, j));
                        _pen.Right(Angle / 2);
                        PatternGenerator1(_pen, _length / (2 * N_repeat + 1)
                                                * Math.Pow(Scale, j), _complexity - 1);
                                                                             // Recursion [4,5].
                        _pen.Right(Angle / 2);
                    }
                    _pen.Right(180.0);
                    for (j = N_repeat; j >= 1; j--)
                    {
                        _pen.Left(Angle);
                        _pen.Forward(_length  / (2 * N_repeat + 1) * Math.Pow(Scale, j));
                        _pen.Forward(_length  / (2 * N_repeat + 1) * Math.Pow(Scale, j - 1));
                    }
                    _pen.Right(180.0);
                    _pen.Right(360.0 / N_branch);
                }
            }
        }

        public MainWindow()
        {
            InitializeComponent();
            pen1 = new Turtle(playground);  // After making Canvas in MainWindow
            // with the Canvas name of "playground" [3].
            pen1.Visible = false;      // When you do not like showning a turtle [6].
            pen1.Clear();
            pen1.BrushWidth = DotSize;
            pen1.WarpTo(240, 240);
            pen1.LineBrush = Brushes.Orange;
            pen1.Forward(DotSize);
            pen1.BrushDown = false;
            pen1.Forward(-DotSize / 2);
            pen1.LineBrush = Brushes.White;
            pen1.Left(90);
        }

        private void Button1_Click(object sender, RoutedEventArgs e)
        {                                      // After making Button for Event Handler.
            Stopwatch TimeMeasure = new Stopwatch();    // Make a stopwatch.
            TimeMeasure.Start();

            PatternGenerator1(pen1, Length, Complexity);

            double Time_in_s = (TimeMeasure.Elapsed).TotalSeconds;
            Label1.Content = ("Drawing Time : " + Time_in_s + " s.");
        }
    }
}


Reference
(1) "Think Sharply with C#" by Prof. Peter Wentworth (Rhodes Univ.),
    http://www.ict.ru.ac.za/resources/ThinkSharply/thinksharply/
(2) "Appendices : Getting Started with ThinkLib",
    http://www.ict.ru.ac.za/Resources/ThinkSharply/ThinkSharply/thinklib_getting_started.html
(3) "Chapter 7 : Hello, little turtles!",
    http://www.ict.ru.ac.za/Resources/ThinkSharply/ThinkSharply/hello_little_turtles.html
(4) "Chapter 21 : Recursion",
    http://www.ict.ru.ac.za/Resources/ThinkSharply/ThinkSharply/recursion.html
(5) 「フラクタル紀行」、芹沢浩・著、森北出版株式会社、
    http://www.morikita.co.jp/books/book/107
(6) "Appendices : ThinkLib.Turtle Documentation",
    http://www.ict.ru.ac.za/Resources/ThinkSharply/ThinkSharply/thinklib_turtle_docs.html



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