rectangle-packer

Pack a set of rectangles into a bounding box with minimum area

=========================== Welcome to rectangle-packer

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Primary use: Given a set of rectangles with fixed orientations, find a bounding box of minimum area that contains them all with no overlap.

This project is inspired by Matt Perdeck's blog post Fast Optimizing Rectangle Packing Algorithm for Building CSS Sprites_.

• The latest documentation is available on Read the Docs_.
• The source code is available on GitHub_.

Installation

Install latest version from PyPI_:

.. code:: sh

$ python3 -m pip install rectangle-packer

Or clone the repository_ and install with:

.. code:: sh

$ python3 setup.py install

Basic usage

.. code:: python

# Import the module
>>> import rpack

# Create a bunch of rectangles (width, height)
>>> sizes = [(58, 206), (231, 176), (35, 113), (46, 109)]

# Pack
>>> positions = rpack.pack(sizes)

# The result will be a list of (x, y) positions:
>>> positions
[(0, 0), (58, 0), (289, 0), (289, 113)]

The output positions are the lower left corner coordinates of each rectangle in the input.

These positions will yield a packing with no overlaps and enclosing area as small as possible (best effort).

.. note::

* You must use **positive integers** as rectangle width and height.

* The module name is **rpack** which is an abbreviation of the package
  name at PyPI (rectangle-packer).

* The computational time required by ``rpack.pack`` increases by
  the number *and* size of input rectangles.  If this becomes a problem,
  you might need to implement your own `divide-and-conquer algorithm`_.

Examples

Example A:

.. figure:: https://penlect.com/rpack/2.0.2/img/packing_best_10.png :alt: pack10 :align: center

Example B:

.. figure:: https://penlect.com/rpack/2.0.2/img/packing_phi.png :alt: packphi :align: center

Example C: Sometimes the input rectangles simply cannot be packed in a good way. Here is an example of low packing density:

.. figure:: https://penlect.com/rpack/2.0.2/img/packing_worst_10.png :alt: pack10bad :align: center

Example D: The image below is contributed by Paul Brodersen, and illustrates a solution to a problem discussed at stackoverflow_.

.. image:: https://i.stack.imgur.com/kLat8.png :alt: PaulBrodersenExampleImage :align: center :width: 450px

.. _Read the Docs: https://rectangle-packer.readthedocs.io/en/latest/ .. _GitHub: https://github.com/Penlect/rectangle-packer .. _Fast Optimizing Rectangle Packing Algorithm for Building CSS Sprites: http://www.codeproject.com/Articles/210979/Fast-optimizing-rectangle-packing-algorithm-for-bu .. _clone the repository: https://github.com/Penlect/rectangle-packer .. _stackoverflow: https://stackoverflow.com/a/53156709/2912349 .. _PyPI: https://pypi.org/project/rectangle-packer/ .. _divide-and-conquer algorithm: https://en.wikipedia.org/wiki/Divide-and-conquer_algorithm

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.. |Build-Status| image:: https://travis-ci.com/Penlect/rectangle-packer.svg?branch=master :target: https://travis-ci.com/Penlect/rectangle-packer

.. |Read-the-Docs| image:: https://img.shields.io/readthedocs/rectangle-packer.svg :target: https://rectangle-packer.readthedocs.io/en/latest

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