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48 lines
1.3 KiB
PHP
Executable File
48 lines
1.3 KiB
PHP
Executable File
<?php
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/**
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* Karaka
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*
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* PHP Version 8.1
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*
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* @package TBD
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* @copyright Dennis Eichhorn
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* @license OMS License 1.0
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* @version 1.0.0
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* @link https://karaka.app
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*/
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declare(strict_types=1);
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namespace phpOMS\Math\Geometry\Shape\D2;
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/**
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* Quadrilateral shape.
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*
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* @package phpOMS\Math\Geometry\Shape\D2
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* @license OMS License 1.0
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* @link https://karaka.app
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* @since 1.0.0
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*/
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final class Quadrilateral implements D2ShapeInterface
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{
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/**
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* Calculate the surface area from the length of all sides and the angle between a and b
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*
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* @param float $a Side a length (DA)
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* @param float $b Side b length (AB)
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* @param float $c Side c length (BC)
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* @param float $d Side d length (CD)
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* @param float $alpha Angle between side a and b
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*
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* @return float
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*
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* @since 1.0.0
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*/
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public static function getSurfaceFromSidesAndAngle(float $a, float $b, float $c, float $d, float $alpha) : float
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{
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$s = ($a + $b + $c + $d) / 2;
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$gamma = \acos(($c ** 2 + $d ** 2 - $a ** 2 - $b ** 2 + 2 * $a * $b * \cos(\deg2rad($alpha))) / (2 * $c * $d));
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return \sqrt(($s - $a) * ($s - $b) * ($s - $c) * ($s - $d) - $a * $b * $c * $d * \cos((\deg2rad($alpha) + $gamma) / 2) ** 2);
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}
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}
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