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https://github.com/saransh-cpp/riemapp

Manim powered complex mappings
https://github.com/saransh-cpp/riemapp

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Manim powered complex mappings

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# riemapp

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riemapp is a fast, easy-to-use, minimal library for Python 3.7+ that aliases
[manim](https://github.com/ManimCommunity/manim) 0.16.0+ functions for
visualising animated and intuitive complex mappings (transformations from the
real plane to the complex plane) for various shapes and real-valued functions in
two dimensions. It uses a minimum number of dependencies through
[FFmpeg](https://github.com/FFmpeg/FFmpeg) and
[pangocairo](https://gitlab.gnome.org/GNOME/pango) on Linux.

Users and learners may use riemapp to:

1. Plot (user-defined)
- Points
- Lines
- Triangles
- Squares
- Rectangles
- Other regular polygons
- Circles
- Irregular polygons
- …and so on
2. Create smooth, precise animations for plotted figures and map them on the
Argand plane according to user-defined complex functions.
3. Save these animations and play them in the default video player available

## Structure

- Right now, `riemapp` aliases the geometries provided by `manim` under
`riemapp.geometry`. Users can either use these alias classes or directly use
the `MObject`s provided by `manim`.
- `riemapp` programmatically generates `manim` animations, and the code for this
is available under `riemapp.core`. All of the information added by a user is
passed into a placeholder class which inherits `manim.Scene`. This class'
object is then used to render the animation.

## Installation

### Install dependencies

**FFmpeg**

- Install FFmpeg through their [download page](https://ffmpeg.org/download.html)
or your system's package manager (`apt`, `brew`, ...) or clone
[Saransh-cpp/FFmpeg](https://github.com/Saransh-cpp/FFmpeg).
- Add the `bin` folder to system path.

**pangocairo** (Linux systems)

Install `libpango1.0-dev` if you are on a Linux system -

```
sudo apt-get update
sudo apt install libpango1.0-dev
```

### Install riemapp

`riemapp` uses modern `Python` packaging and can be installed using `pip` -

```
python -m pip install riemapp
```

## Usage example

```py
In [1]: import riemapp as rp
Manim Community v0.16.0.post0

In [2]: import numpy as np

In [3]: square = rp.geometry.Square(2.)

In [4]: square
Out[4]: Square(side_length=2.0) (alias for manim.Square)

In [5]: cm = rp.ComplexMap(square, lambda z: np.e ** z)

In [6]: cm
Out[6]: ComplexMap(f=Square(side_length=2.0) (alias for manim.Square), transformation=)

In [7]: cm.generate_animation(run_time=2.)
Out[7]: Animate(f=Square(side_length=2.0) (alias for manim.Square), transformation=)

In [8]: cm.render(preview=False)
```

https://user-images.githubusercontent.com/74055102/193077326-2c21cb9e-eb24-473e-b69c-3376f7664ecd.mp4

## Contributing

If you want to contribute to `riemapp` (thanks!), please have a look at our
[Contributing Guide](https://github.com/Saransh-cpp/riemapp/blob/main/CONTRIBUTING.md).