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// Mandelbrot 0.1: A demonstration of Qt#
//
// Copyright 2002 Marcus Urban
//
// This program is free software; you can redistribute it and/or
// modify it under the terms of the GNU General Public License
// as published by the Free Software Foundation; either version 2
// of the License, or (at your option) any later version.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program; if not, write to the Free Software
// Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
// NOTE:
// Variables with names like PlotXMin are in the cartesian coordinate plane.
// Those with names like ImageXMin was in a translated coordinate system
// where (0, 0) is the upper-left corner.
using System;
using Qt;
// This struct is a simple implementation of complex numbers.
// It was originally in a separate file because it is useful
// in its own right. It is included here file only to make the
// compilation process simpler of new users.
public struct Complex {
private double re, im;
//private int x;
public Complex (double re, double im)
{
this.re = re;
this.im = im;
}
public static implicit operator Complex (double re)
{
return new Complex (re, 0.0);
}
public double Re
{
get { return re; }
}
public double Im
{
get { return im; }
}
public static double Abs (Complex a)
{
return Math.Abs (a.re) >= Math.Abs (a.im) ?
Math.Abs (a.re) * Math.Sqrt( 1.0 + (a.im/a.re)*(a.im/a.re) ) :
Math.Abs (a.im) * Math.Sqrt( 1.0 + (a.re/a.im)*(a.re/a.im) );
}
public static Complex operator + (Complex a, Complex b)
{
return new Complex (a.re + b.re, a.im + b.im);
}
public static Complex operator - (Complex a, Complex b)
{
return new Complex (a.re - b.re, a.im - b.im);
}
public static Complex operator * (Complex a, Complex b)
{
return new Complex ( a.re*b.re - a.im*b.im, a.im*b.re + a.re*b.im );
}
// Division isn't pretty. Do it later.
public override string ToString ()
{
return this.re.ToString () + "+" + this.im.ToString () + "i";
}
}
public class Mandelbrot {
public static int Iterations ( Complex c )
{
const int MaximumIterations = 16;
Complex value = c;
int currentDepth = 1;
while ( Complex.Abs(value) < 2.0 && currentDepth <= MaximumIterations ) {
++currentDepth;
value = (value * value) + c;
}
return currentDepth;
}
public static void Main (string[] args)
{
QApplication app = new QApplication (args);
ImageDialog dialog = new ImageDialog (null, "Mandelbrot", false, 0);
dialog.Show ();
app.SetMainWidget (dialog);
app.Exec ();
}
}
public class ImageDialog : QDialog {
const double DefaultPlotXMin = -2.0;
const double DefaultPlotXMax = 2.0;
const double DefaultPlotYMin = -1.5;
const double DefaultPlotYMax = 1.5;
QHBoxLayout dialogLayout;
QGridLayout gridLayout;
QVBoxLayout leftLayout;
QHBoxLayout buttonLayout;
QPushButton redrawButton;
QLabel pixmapLabel;
QSizePolicy fixedSizePolicy;
QLabel XMinLabel, XMaxLabel, YMinLabel, YMaxLabel;
QLineEdit editXMin, editXMax, editYMin, editYMax;
public ImageDialog (QWidget parent, string name, bool modal, WidgetFlags fl):
base (parent, name, modal, fl)
{
if (name == string.Empty)
SetName ("imageDialog");
SetCaption ("Mandelbrot Image");
dialogLayout = new QHBoxLayout (this, 11, 6);
gridLayout = new QGridLayout (null, 1, 1, 0, 6, "gridLayout");
leftLayout = new QVBoxLayout (null, 0, 6, "leftLayout");
fixedSizePolicy = new QSizePolicy ();
fixedSizePolicy.SetHorData (QSizePolicy.SizeType.Fixed);
fixedSizePolicy.SetVerData (QSizePolicy.SizeType.Fixed);
XMinLabel = new QLabel ("Xmin", this);
XMinLabel.SetSizePolicy (fixedSizePolicy);
gridLayout.AddWidget (XMinLabel, 0, 0);
XMaxLabel = new QLabel ("Xmax", this);
XMaxLabel.SetSizePolicy(fixedSizePolicy);
gridLayout.AddWidget (XMaxLabel, 1, 0);
YMinLabel = new QLabel ("Ymin", this);
YMinLabel.SetSizePolicy (fixedSizePolicy);
gridLayout.AddWidget (YMinLabel, 2, 0);
YMaxLabel = new QLabel ("Ymax", this);
YMaxLabel.SetSizePolicy (fixedSizePolicy);
gridLayout.AddWidget (YMaxLabel, 3, 0);
QDoubleValidator validator = new QDoubleValidator (this);
editXMin = new QLineEdit (this, "editXMin");
editXMin.SetText (Convert.ToString (DefaultPlotXMin));
editXMin.SetValidator (validator);
gridLayout.AddWidget (editXMin, 0, 1);
editXMax = new QLineEdit (this, "editXMax");
editXMax.SetText (Convert.ToString(DefaultPlotXMax));
editXMax.SetValidator (validator);
gridLayout.AddWidget (editXMax, 1, 1);
editYMin = new QLineEdit (this, "editYMin");
editYMin.SetText (Convert.ToString(DefaultPlotYMin));
editYMin.SetValidator (validator);
gridLayout.AddWidget (editYMin, 2, 1);
editYMax = new QLineEdit (this, "editYMax");
editYMax.SetText (Convert.ToString(DefaultPlotYMax));
editYMax.SetValidator (validator);
gridLayout.AddWidget (editYMax, 3, 1);
leftLayout.AddLayout (gridLayout);
QSpacerItem spacer1 = new QSpacerItem (0, 0, 0, 0);
leftLayout.AddItem (spacer1);
buttonLayout = new QHBoxLayout (null, 0, 6, "buttonLayout");
QSpacerItem spacer2 = new QSpacerItem (0, 0, 0, 0);
buttonLayout.AddItem (spacer2);
redrawButton = new QPushButton ("Redraw", this);
redrawButton.SetDefault (true);
buttonLayout.AddWidget (redrawButton);
QSpacerItem spacer3 = new QSpacerItem (0, 0, 0, 0);
buttonLayout.AddItem (spacer3);
leftLayout.AddLayout (buttonLayout);
dialogLayout.AddLayout (leftLayout);
QSpacerItem spacer4 = new QSpacerItem (0, 0, 0, 0);
dialogLayout.AddItem (spacer4);
pixmapLabel = new QLabel (this, "pixmapLabel", 0);
pixmapLabel.SetScaledContents (true);
dialogLayout.AddWidget (pixmapLabel);
QObject.Connect (redrawButton, SIGNAL ("clicked()"), this, SLOT ("Redraw()"));
Redraw ();
}
QImage MandelbrotImage ()
{
int depth;
double real, imag;
double PlotXMin = Convert.ToDouble ( editXMin.Text () );
double PlotXMax = Convert.ToDouble ( editXMax.Text () );
double PlotYMin = Convert.ToDouble ( editYMin.Text () );
double PlotYMax = Convert.ToDouble ( editYMax.Text () );
int ImageXMax = pixmapLabel.Width ();
int ImageYMax = pixmapLabel.Height ();
QImage image = new QImage (ImageXMax, ImageYMax, 32, 0);
for (int x = 0; x <= ImageXMax - 1; x+=1) {
for (int y = 0; y <= ImageYMax - 1; y+=1) {
real = (PlotXMax - PlotXMin)/ImageXMax * x + PlotXMin;
imag = (PlotYMin - PlotYMax)/ImageYMax * y + PlotYMax;
depth = Mandelbrot.Iterations ( new Complex (real, imag) );
image.SetPixel ( x, y, (uint) depth*16 );
}
}
return image;
}
public void Redraw ()
{
QSize s = pixmapLabel.BaseSize ();
pixmapLabel.Resize (400,300);
QApplication.SetOverrideCursor ( new QCursor( (int) CursorShape.WaitCursor ));
QImage image = MandelbrotImage ();
QPixmap pixmap = new QPixmap (image);
pixmapLabel.SetPixmap( pixmap);
image.Dispose ();
pixmap.Dispose ();
this.AdjustSize ();
QApplication.RestoreOverrideCursor ();
}
}
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