Linear Transformation Simulation

• Linear Transformation Simulation on 2D and 3D plane using python OpenGL.
• Developed as part of IF2123 Geometry Algebraic course on Bandung Institute of Technology.
• Submitted on November 18th, 2018.

How to Run:

Execute Main Program: python main/src/main.py
Also available 3D demo only: python demo/demo3d.py\

Running the Program:

1. Open the terminal.
2. Navigate to the directory where the file is stored.
3. Run the file by typing python3 main.py.
4. After that, the user will be prompted to input:
   • Type 1 to enter the 3D window.
   • Type 2 to enter the 2D window.
5. Once the input is entered, the program will display a Pygame or PyOpenGL window.

If the User Chooses 1 (3D):

1. To enlarge the screen, press Page Down.
2. To reduce the screen size, press Page Up.
3. To adjust the viewing angle, use arrow keys (up, down, right, left).
4. To input a transformation function, press F while in the Pygame window.
5. Then type the function (e.g., translate 3 3 3).
6. To reset the object, type reset.

If the User Chooses 2 (2D):

1. To enlarge the screen, press the up arrow key.
2. To reduce the screen size, press Page Up.
3. To input a transformation function, press F while in the PyOpenGL window.
4. Then type the function (e.g., translate 3 3).
5. To reset the object, type reset.

Available Transformation Function

Command	Description
translate <dx> <dy>	Translates the object by shifting the x-value by dx and the y-value by dy.
dilate <k>	Performs dilation on the object with a scaling factor of k.
rotate <deg> <a> <b>	Rotates the object counterclockwise by deg degrees around the point a,b.
reflect <param>	Performs reflection on the object. param can be one of the following values: x, y, y=x, y=-x, or (a,b). The (a,b) value represents the point for reflection.
shear <param> <k>	Performs shear operation on the object. param can be x (along the x-axis) or y (along the y-axis). k is the shear factor.
stretch <param> <k>	Performs stretch operation on the object. param can be x (along the x-axis) or y (along the y-axis). k is the stretch factor.
custom <a> <b> <c> <d>	Performs a linear transformation on the object using the transformation matrix: [[a b], [c d]].
multiple <n>	Performs linear transformation on the object n times sequentially. Each input line (1..n) can be translate, rotate, shear, etc., excluding multiple, reset, and exit.
reset	Resets the object to its initial state.
exit	Exits the program.