Solve systems of ODEs and plot phase planes in up to 3 dimensions. Utilizes OpenGL and the boost libraries.
- Solve system of equations outside of the window loop. Recalculating every curve every loop is a massive waste of resources...
- Define initial conditions in more than just the xy dimensions from the config file.
OpenGL SFML Boost libraries
Check that you have SFML:
sudo apt-get install libsfml-dev
Check that you have boost:
sudo apt-get install libboost-all-dev
or
sudo apt-get install libboost-all
Check that you have OpenGL libraries:
sudo apt-get install libgl1-mesa-dev libglu1-mesa-dev freeglut3-dev
Compile with:
make
Run the program:
./run
This program comes with a config.ini file for altering some of the graphics and numerics parameters without having to touch the cpp file, or recompile for the changes.
| Option | Flag Type | Comment |
|---|---|---|
| radius | Real | Sets the radius for initial conditions to be drawn in a circle |
| thetamax | Real | Maximum angle theta through with we will populate a circle with initial conditions. |
| xcenter | Real | Center of the circles x coordinate. |
| ycenter | Real | Center of the circles y coordinate. |
| numinit | Integer | Number of randomly generated initial conditions to spawn inside above circle |
| bkg_r | Real | Background R value for color, range is [0,1] |
| bkg_g | Real | Background G value for color, range is [0,1] |
| bkg_b | Real | Background B value for color, range is [0,1] |
| bkg_alpha | Real | Background Alpha transparency value. range is [0,1] |
| fovy | Real | Field of view from bottom to top of window. Measured in degrees. |
| aspect | Real | Aspect Ratio of window. 1. = equivalent height and widths. resizing the window will keep this value constant. |
| znear | Real | Near cutting plane of the graphics. Objects within this distance from the camera position will not be drawn. |
| zfar | Real | Far cutting plane of the graphics. Objects past this distance will not be drawn. |
| camera_dist | Real | Initial camera distance away from the origin in the z direction. |