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/usr/share/php/Horde/Date/Repeater/Second.php is in php-horde-date 2.4.1-1ubuntu1.

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<?php
/**
 * Copyright 2009-2017 Horde LLC (http://www.horde.org/)
 *
 * See the enclosed file COPYING for license information (LGPL). If you
 * did not receive this file, see http://www.horde.org/licenses/lgpl21.
 *
 * @author   Chuck Hagenbuch <chuck@horde.org>
 * @category Horde
 * @license  http://www.horde.org/licenses/lgpl21 LGPL
 * @package  Date
 */

/**
 * Date repeater.
 *
 * @author    Chuck Hagenbuch <chuck@horde.org>
 * @category  Horde
 * @copyright 2009-2017 Horde LLC
 * @license   http://www.horde.org/licenses/lgpl21 LGPL
 * @package   Date
 */
class Horde_Date_Repeater_Second extends Horde_Date_Repeater
{
    public $secondStart;

    public function next($pointer = 'future')
    {
        parent::next($pointer);

        $direction = ($pointer == 'future') ? 1 : -1;

        if (!$this->secondStart) {
            $this->secondStart = clone $this->now;
            $this->secondStart->sec += $direction;
        } else {
            $this->secondStart += $direction;
        }

        $end = clone $this->secondStart;
        $end->sec++;
        return new Horde_Date_Span($this->secondStart, $end);
    }

    public function this($pointer = 'future')
    {
        parent::this($pointer);

        $end = clone $this->now;
        $end->sec++;
        return new Horde_Date_Span($this->now, $end);
    }

    public function offset($span, $amount, $pointer)
    {
        $direction = ($pointer == 'future') ? 1 : -1;
        return $span->add($direction * $amount);
    }

    public function width()
    {
        return 1;
    }

    public function __toString()
    {
        return parent::__toString() . '-second';
    }

}