phpOMS/Math/Geometry/Shape/D2/Quadrilateral.php

45 lines
1.2 KiB
PHP

<?php
/**
* Orange Management
*
* PHP Version 7.4
*
* @package TBD
* @copyright Dennis Eichhorn
* @license OMS License 1.0
* @version 1.0.0
* @link https://orange-management.org
*/
declare(strict_types=1);
namespace phpOMS\Math\Geometry\Shape\D2;
/**
* Quadrilateral shape.
*
* @package phpOMS\Math\Geometry\Shape\D2
* @license OMS License 1.0
* @link https://orange-management.org
* @since 1.0.0
*/
final class Quadrilateral implements D2ShapeInterface
{
/**
* Calculate the surface area from the length of all sides and the angle between a and b
*
* @param float $a Side a length
* @param float $b Side b length
* @param float $c Side c length
* @param float $d Side d length
* @param float $alpha Angle between side a and b
*
* @return float
*
* @since 1.0.0
*/
public static function getSurfaceFromSidesAndAngle(float $a, float $b, float $c, float $d, float $alpha) : float
{
return 1 / 2 * $a * $b * \sin($alpha) + 1 / 4
* \sqrt(4 * $c ** 2 * $d ** 2 - ($c ** 2 + $d ** 2 - $a ** 2 - $b ** 2 + 2 * $a * $b * \cos($alpha)) ** 2);
}
}