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PHP-LAFF Analyzer

PHP Implementation of the Largest Area Fit First (LAFF) 3D (three dimensions: length, width, height) box packing algorithm.

With this library you can easily:

  • get the required dimensions of the container that will fit all given packages,
  • split packages per defined amount of containers,
  • split packages per layer in a given container,
  • get information about the wasted amount of space per container and per layer,
  • get the number of remaining packages that couldn't fit into given containers,

Algorithm definition

Implementation of the used algorithm was defined by M. Zahid Gürbüz, Selim Akyokus, Ibrahim Emiroglu, and Aysun Güran in a paper called "An Efficient Algorithm for 3D Rectangular Box Packing".

Installation

Note To use this library you need PHP in version 8.1+

composer require php-laff/analyzer

Usage

Get the size of the required container for selected packages

<?php

use LAFF\Analyzer\Analyzer;
use LAFF\Analyzer\Model\Package;

$packages = [
    new Package(50, 50, 8),
    new Package(33, 8, 8),
    new Package(16, 20, 8),
    new Package(3, 18, 8),
    new Package(14, 12, 8),
];

$analyzer = new Analyzer();
$analyzer->analyze($packages);

$containers = $analyzer->getContainers();
/** @var Container $container */
$container = reset($containers);

var_dump($container->toArray());
// Output:
// array(3) {
//   ["length"]=>
//   int(50)
//   ["width"]=>
//   int(50)
//   ["height"]=>
//   int(16)
// }
var_dump($container->countLayers());
// Output:
// int(2)
var_dump($analyzer->getWastePercentage());
// Output (%):
// int(32)
var_dump($analyzer->getWasteVolume());
// Output (cm3):
// int(13552)

Check how many packages can be fitter into a given container

<?php

use LAFF\Analyzer\Analyzer;
use LAFF\Analyzer\Model\Container;
use LAFF\Analyzer\Model\Package;

$packages = [
    new Package(50, 50, 8),
    new Package(33, 8, 8),
    new Package(16, 20, 8),
    new Package(3, 18, 8),
    new Package(14, 12, 8),
];

$container = new Container(65, 60, 8);

$analyzer = new Analyzer();
$analyzer->analyze($packages, [$container]);

var_dump($container->full);
// Output:
// bool(true)
var_dump($container->countLayers());
// Output:
// int(1)
var_dump($container->getWastePercentage());
// Output (%)
//: int(15)
var_dump($container->getWasteVolume());
// Output (cm3):
// int(4752)

Development

To install dependencies, launch the following commands:

composer install

Run Tests

To execute full test suite, static analyse or coding style fixed, launch the following commands:

composer test
composer phpstan
composer cs-fixer

Kudos

There is already a library for LAFF in PHP: Cloudstek/php-laff; while both use the same algorithm, the internals is different. The main difference between those libraries is that this one can work on an array of containers. I want to say "thank you" for the work on that library in the past!