.comment-link {margin-left:.6em;}
Marc Boizeau's blog
Friday, November 26, 2004
  Mandelbrot in C# , the sources!
Hello everybody,
yesterday I posted a link to mandelbrot in c# on the microsoft.public.dotnet.framework.drawing usenet group . Morten Wennevik reply to me and argued that a lot of code were missing. So, today I post the complete sources. He also said that Visual studio isn't mandatory to build a .Net Windows application. He is right! So I will also give the way to compile it without Visual Studio .net, just with the framework:

Step 1 Create a directory for the project
Step 2 In this directory put a text file named fractalform.cs (personnaly I used a UTF-8 format with Notepad) containing the following:

using System;
using System.Drawing;
using System.Windows.Forms;


namespace mandelbrot
{


/// <summary>
/// Description résumée de Form1.
/// </summary>
public class Form1 : System.Windows.Forms.Form
{
Complex C1,C2,C3;
private System.Windows.Forms.Button trace;
private System.Windows.Forms.PictureBox BoiteImage;
private System.Windows.Forms.Label label1;
private System.Windows.Forms.TextBox hgx;
private System.Windows.Forms.TextBox hgy;
private System.Windows.Forms.TextBox bdy;
private System.Windows.Forms.TextBox bdx;
private System.Windows.Forms.Label label2;
/// <summary>
/// Variable nécessaire au concepteur.
/// </summary>
private System.ComponentModel.Container components = null;

public Form1()
{
//
// Requis pour la prise en charge du Concepteur Windows Forms
//
InitializeComponent();

//
// TODO : ajoutez le code du constructeur après l'appel à InitializeComponent
//
}

/// <summary>
/// Nettoyage des ressources utilisées.
/// </summary>
protected override void Dispose( bool disposing )
{
if( disposing )
{
if (components != null)
{
components.Dispose();
}
}
base.Dispose( disposing );
}

#region Code généré par le Concepteur Windows Form
/// <summary>
/// Méthode requise pour la prise en charge du concepteur - ne modifiez pas
/// le contenu de cette méthode avec l'éditeur de code.
/// </summary>
private void InitializeComponent()
{
this.trace = new System.Windows.Forms.Button();
this.BoiteImage = new System.Windows.Forms.PictureBox();
this.hgx = new System.Windows.Forms.TextBox();
this.hgy = new System.Windows.Forms.TextBox();
this.bdy = new System.Windows.Forms.TextBox();
this.bdx = new System.Windows.Forms.TextBox();
this.label1 = new System.Windows.Forms.Label();
this.label2 = new System.Windows.Forms.Label();
this.SuspendLayout();
//
// trace
//
this.trace.Location = new System.Drawing.Point(512, 8);
this.trace.Name = "trace";
this.trace.Size = new System.Drawing.Size(80, 32);
this.trace.TabIndex = 12;
this.trace.Text = "trace";
this.trace.Click += new System.EventHandler(this.button1_Click);
//
// BoiteImage
//
this.BoiteImage.Location = new System.Drawing.Point(24, 56);
this.BoiteImage.Name = "BoiteImage";
this.BoiteImage.Size = new System.Drawing.Size(584, 416);
this.BoiteImage.TabIndex = 13;
this.BoiteImage.TabStop = false;
//
// hgx
//
this.hgx.Location = new System.Drawing.Point(32, 24);
this.hgx.Name = "hgx";
this.hgx.Size = new System.Drawing.Size(80, 20);
this.hgx.TabIndex = 14;
this.hgx.Text = "-1,5";
//
// hgy
//
this.hgy.Location = new System.Drawing.Point(128, 24);
this.hgy.Name = "hgy";
this.hgy.Size = new System.Drawing.Size(80, 20);
this.hgy.TabIndex = 15;
this.hgy.Text = "-1,5";
//
// bdy
//
this.bdy.Location = new System.Drawing.Point(304, 24);
this.bdy.Name = "bdy";
this.bdy.Size = new System.Drawing.Size(80, 20);
this.bdy.TabIndex = 16;
this.bdy.Text = "1,5";
//
// bdx
//
this.bdx.Location = new System.Drawing.Point(216, 24);
this.bdx.Name = "bdx";
this.bdx.Size = new System.Drawing.Size(80, 20);
this.bdx.TabIndex = 17;
this.bdx.Text = "1,5";
//
// label1
//
this.label1.Location = new System.Drawing.Point(88, 0);
this.label1.Name = "label1";
this.label1.Size = new System.Drawing.Size(64, 23);
this.label1.TabIndex = 19;
this.label1.Text = "hautgauche";
//
// label2
//
this.label2.Location = new System.Drawing.Point(272, 0);
this.label2.Name = "label2";
this.label2.Size = new System.Drawing.Size(64, 16);
this.label2.TabIndex = 20;
this.label2.Text = "BasDroite";
//
// Form1
//
this.AutoScaleBaseSize = new System.Drawing.Size(5, 13);
this.ClientSize = new System.Drawing.Size(632, 470);
this.Controls.Add(this.label2);
this.Controls.Add(this.label1);
this.Controls.Add(this.bdx);
this.Controls.Add(this.bdy);
this.Controls.Add(this.hgy);
this.Controls.Add(this.hgx);
this.Controls.Add(this.BoiteImage);
this.Controls.Add(this.trace);
this.Name = "Form1";
this.Text = "Form1";
this.ResumeLayout(false);

}
#endregion

/// <summary>
/// Point d'entrée principal de l'application.
/// </summary>
[STAThread]
static void Main()
{
Application.Run(new Form1());
}




private void button1_Click(object sender, System.EventArgs e)
{
int nbPix=1000;
double diagDest;

int x,y;
Bitmap Imag;
Color col;
int iDiv;
Complex c= new Complex();

//define the complex plan zone
Complex cHG = new Complex(Convert.ToDouble( this.hgx.Text),Convert.ToDouble( this.hgy.Text));
Complex cBD = new Complex(Convert.ToDouble(this.bdx.Text),Convert.ToDouble(this.bdy.Text));
diagDest=Convert.ToDouble( this.hgx.Text)-Convert.ToDouble( this.bdx.Text);

//instantiate the bitmap
Imag = new Bitmap(nbPix ,nbPix);

//scan the bitmap
for(x=0;x<Imag.Size.Width;x++)
for(y=0;y<Imag.Size.Height;y++)
{
//convert the pixel coordinate into a complex number
c = new Complex(diagDest*x/nbPix,diagDest*y/nbPix)-cHG;

//calculate divergence
iDiv = c.diverg();

//choose the color of the pixel
if (iDiv >= 255)
//if it converge it's black
col = System.Drawing.Color.FromArgb(255,0,0,0);
else //if it is not it depend of the speed
col = System.Drawing.Color.FromArgb(128,iDiv,iDiv,iDiv);

//set the pixel color
Imag.SetPixel(x,y,col );
}
//draw the image
BoiteImage.SizeMode = PictureBoxSizeMode.StretchImage ;
BoiteImage.ClientSize = new Size(Imag.Size.Width, Imag.Size.Height);
BoiteImage.Image = (Image) Imag ;

}

}
}



Step 3Put a second file named cplx.cs
containing the following

using System;// to include the basic libraries

namespace mandelbrot//a namespace groups classes working together,
{
// The main class
class Complex
{
//constants
const int IMAX_ITER = 255 ;// number of iterations to estimate the divergence
const double MODUL_LIMIT = 2;//


public double x;//pretty close to c++ syntax,
//"public" indicates that the users of the class can access this property...
public double y;

//////////////////////////
//constructors

//the basic one , do nothing but is mandatory for operators overloading
public Complex()
{}

//the main constructor
public Complex(double i, double j)
{
x = i;
y = j;
}

//////////////////////////
//Operators overloading

//plus
public static Complex operator +(Complex c1,Complex c2)
{
Complex temp = new Complex();
temp.x = (c1.x)+(c2.x);
temp.y = c1.y+c2.y;
return temp;
}
//minus
public static Complex operator -(Complex c1,Complex c2)
{
Complex temp = new Complex();
temp.x = (c1.x)-(c2.x);
temp.y = c1.y-c2.y;
return temp;
}
// multiplication, a little more complicated
public static Complex operator *(Complex c1,Complex c2)
{
Complex temp = new Complex();
temp.x = c1.x*c2.x-c1.y*c2.y;
temp.y = c1.y*c2.x+c1.x*c2.y;
return temp;
}

/////////////////////
//methods

//Module, used to measure the complex number
public double Module()
{
double temp;
temp = System.Math.Sqrt( x*x+y*y);
return temp ;
}
//use to measure the divergence of the complex number
//the number return is use to define the color of the affix's point
public int diverg()
{
int i=0 ;
Complex c = new Complex(x,y) ;

while (i<IMAX_ITER && c.Module()<MODUL_LIMIT)
{
c = c*c+this;//yep "*" and "+" are the operator we've just overload.
i++;
}
return i;//the number of iteration is return to set the color
}
}


}




Step 4 Now open a command line window on the directory you've just create.
type the folowing:
C:\WINDOWS\Microsoft.NET\Framework\v1.1.4322\csc.exe /target:winexe /recurse:*.*
(You may have to replace C:\WINDOWS\Microsoft.NET\Framework\v1.1.4322\ by your computer's c# compiler path.)


That's all folks, thanks to Morten Wennevik!

Comments are welcome!
 
Comments:
Quick And Easy Holiday Planning. powerful There's a lot to think about when planning a holiday and no matter how hard you try, you almost always forget something. The solution...
powerful
 
Well, here's a refreshing new idea for you, Organizer and it won't cost you an arm and a leg. Organizer
 
Post a Comment

Links to this post:

Create a Link



<< Home
You are a developer and work with Oracle and Microsoft technologies? Have a look!
ATOM
How to:
Use updatable views in Access
Get data in Excel from Oracle 1
Get data in Excel from Oracle 2
Draw the Mandelbrot set using C#
Use the "Grouping Sets" SQl Syntax
Use the "Rollup" SQl Syntax
Use the "Rank over" SQl Syntax

Mandelbrot in C#
SQL Analytical : Rollup
Just another link today
A few Oracle and Microsoft links
Strange and usefull Oracle SQL structure
From the datawarehouse to the chart (part 2)
From the datawarehouse to the chart (part 1)
Using updatable views in Access
Introduction
ARCHIVES
October 2004 / November 2004 / December 2004 / January 2005 / February 2005 / March 2005 / April 2005 / June 2005 / July 2005 / August 2005 / September 2005 / December 2005 / February 2006 / December 2006 / March 2009 /


Powered by Blogger

mboizeau.free.fr