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4 |
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 | } |