Mandelbrot set graphical visualizer.
Coloring of the individual pixel is based on the number of iterations (in the complex number domain) for the equation:
f(z) = z^2 + c
Where:
zandcare complex numbers.ccorresponds to the coordinates of a point on the XY plane (X real, Y complex)
For details see the Mandelbrot set Wikipedia page
The algorithm used to determine each pixel's color is independent of the neighboring pixels. It is therefore easily parallelizable. The application utilizes shaders to delegate the calculations straight to the GPU.
- smooth operation up to 1000 iterations
- pan & zoom
- dynamic maximum iteration control
- colorful visualization with the help of https://github.com/jgreitemann/colormap.git (./colormap/)
- zoom in/out with the mouse wheel, or press
PgDnandPgUp - move the view by dragging the mouse or using keyboard arrows
- control the maximum number of iterations with
+and- - cycle colormaps with
Numpad 8(forward) andNumpad 2(backward) - reverse colormap coloring with
r
- C++17 enabled compiler
- CMake
- libsfml-dev
- Currently only Linux is supported
- find an alternative way to pass the color map array to the shader
- current implementation limits the number of iterations to the number of registers available in the GPU (probably GL_MAX_TEXTURE_SIZE)
- Add support for Windows (CMakeLists/sfml)
Default view
Reduced number of iterations
Zoomed in
Copyright (C) 2022 sedsedus
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.