<?php
/*
 * This file is part of the Diff package.
 *
 * (c) Sebastian Bergmann <sebastian@phpunit.de>
 *
 * For the full copyright and license information, please view the LICENSE
 * file that was distributed with this source code.
 */

namespace SebastianBergmann\Diff\LCS;

/**
 * Time-efficient implementation of longest common subsequence calculation.
 *
 * @package    Diff
 * @author     Sebastian Bergmann <sebastian@phpunit.de>
 * @author     Kore Nordmann <mail@kore-nordmann.de>
 * @copyright  Sebastian Bergmann <sebastian@phpunit.de>
 * @license    http://www.opensource.org/licenses/BSD-3-Clause  The BSD 3-Clause License
 * @link       http://www.github.com/sebastianbergmann/diff
 */
class TimeEfficientImplementation implements LongestCommonSubsequence
{
    /**
     * Calculates the longest common subsequence of two arrays.
     *
     * @param  array $from
     * @param  array $to
     * @return array
     */
    public function calculate(array $from, array $to)
    {
        $common     = array();
        $fromLength = count($from);
        $toLength   = count($to);
        $width      = $fromLength + 1;
        $matrix     = new \SplFixedArray($width * ($toLength + 1));

        for ($i = 0; $i <= $fromLength; ++$i) {
            $matrix[$i] = 0;
        }

        for ($j = 0; $j <= $toLength; ++$j) {
            $matrix[$j * $width] = 0;
        }

        for ($i = 1; $i <= $fromLength; ++$i) {
            for ($j = 1; $j <= $toLength; ++$j) {
                $o = ($j * $width) + $i;
                $matrix[$o] = max(
                    $matrix[$o - 1],
                    $matrix[$o - $width],
                    $from[$i - 1] === $to[$j - 1] ? $matrix[$o - $width - 1] + 1 : 0
                );
            }
        }

        $i = $fromLength;
        $j = $toLength;

        while ($i > 0 && $j > 0) {
            if ($from[$i-1] === $to[$j-1]) {
                $common[] = $from[$i-1];
                --$i;
                --$j;
            } else {
                $o = ($j * $width) + $i;
                if ($matrix[$o - $width] > $matrix[$o - 1]) {
                    --$j;
                } else {
                    --$i;
                }
            }
        }

        return array_reverse($common);
    }
}