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| 1 | <?php |
| 2 | /** |
| 3 | * Jingga |
| 4 | * |
| 5 | * PHP Version 8.1 |
| 6 | * |
| 7 | * @package phpOMS\Math\Numerics\Interpolation |
| 8 | * @copyright Dennis Eichhorn |
| 9 | * @license OMS License 2.0 |
| 10 | * @version 1.0.0 |
| 11 | * @link https://jingga.app |
| 12 | */ |
| 13 | declare(strict_types=1); |
| 14 | |
| 15 | namespace phpOMS\Math\Numerics\Interpolation; |
| 16 | |
| 17 | /** |
| 18 | * Lagrange spline interpolation. |
| 19 | * |
| 20 | * @package phpOMS\Math\Numerics\Interpolation |
| 21 | * @license OMS License 2.0 |
| 22 | * @link https://jingga.app |
| 23 | * @since 1.0.0 |
| 24 | */ |
| 25 | final class LagrangeInterpolation implements InterpolationInterface |
| 26 | { |
| 27 | /** |
| 28 | * Points for spline interpolation |
| 29 | * |
| 30 | * @var array<int, array{x:int|float, y:int|float}> |
| 31 | * @since 1.0.0 |
| 32 | */ |
| 33 | private array $points = []; |
| 34 | |
| 35 | /** |
| 36 | * Constructor. |
| 37 | * |
| 38 | * @param array<int, array{x:int|float, y:int|float}> $points Points to create the interpolation with |
| 39 | * |
| 40 | * @since 1.0.0 |
| 41 | */ |
| 42 | public function __construct(array $points) { |
| 43 | $this->points = $points; |
| 44 | } |
| 45 | |
| 46 | /** |
| 47 | * {@inheritdoc} |
| 48 | */ |
| 49 | public function interpolate(int | float $x) : float |
| 50 | { |
| 51 | $n = \count($this->points); |
| 52 | $result = 0.0; |
| 53 | |
| 54 | for ($i = 0; $i < $n; ++$i) { |
| 55 | $solve = $this->points[$i]['y']; |
| 56 | for ($j = 0; $j < $n; ++$j) { |
| 57 | if ($j !== $i) { |
| 58 | $solve *= ($x - $this->points[$j]['x']) / ($this->points[$i]['x'] - $this->points[$j]['x']); |
| 59 | } |
| 60 | } |
| 61 | |
| 62 | $result += $solve; |
| 63 | } |
| 64 | |
| 65 | return $result; |
| 66 | } |
| 67 | } |