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91 lines
2.7 KiB
PHP
91 lines
2.7 KiB
PHP
<?php
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/**
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* Orange Management
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*
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* PHP Version 7.4
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*
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* @package tests
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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://orange-management.org
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*/
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declare(strict_types=1);
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namespace phpOMS\tests\Math\Numerics\Interpolation;
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use phpOMS\Math\Numerics\Interpolation\CubicSplineInterpolation;
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use phpOMS\Math\Numerics\Interpolation\DerivativeType;
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/**
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* @testdox phpOMS\tests\Math\Numerics\Interpolation\CubicSplineInterpolationTest: Cubic spline interpolation
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*
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* @internal
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*/
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class CubicSplineInterpolationTest extends \PHPUnit\Framework\TestCase
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{
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/**
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* @testdox The spline interpolation using the first derivative is correct
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* @covers phpOMS\Math\Numerics\Interpolation\CubicSplineInterpolation
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* @group framework
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*/
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public function testInterpolationFirstDerivative() : void
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{
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$interpolation = new CubicSplineInterpolation([
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['x' => 0.1, 'y' => 0.1],
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['x' => 0.4, 'y' => 0.7],
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['x' => 1.2, 'y' => 0.6],
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['x' => 1.8, 'y' => 1.1],
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['x' => 2.0, 'y' => 0.9],
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],
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0.0, DerivativeType::FIRST,
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0.0, DerivativeType::FIRST,
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);
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self::assertEqualsWithDelta(0.947888, $interpolation->interpolate(1.5), 0.1);
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}
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/**
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* @testdox The spline interpolation using the second derivative is correct
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* @covers phpOMS\Math\Numerics\Interpolation\CubicSplineInterpolation
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* @group framework
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*/
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public function testInterpolationSecondDerivative() : void
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{
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$interpolation = new CubicSplineInterpolation([
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['x' => 0.1, 'y' => 0.1],
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['x' => 0.4, 'y' => 0.7],
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['x' => 1.2, 'y' => 0.6],
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['x' => 1.8, 'y' => 1.1],
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['x' => 2.0, 'y' => 0.9],
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],
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0.0, DerivativeType::SECOND,
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0.0, DerivativeType::SECOND,
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);
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self::assertEqualsWithDelta(0.915345, $interpolation->interpolate(1.5), 0.1);
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}
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/**
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* @testdox The spline interpolation for out of bounds values uses linear extrapolation
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* @covers phpOMS\Math\Numerics\Interpolation\CubicSplineInterpolation
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* @group framework
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*/
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public function testInterpolationUnderOverflow() : void
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{
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$interpolation = new CubicSplineInterpolation([
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['x' => 0.1, 'y' => 0.1],
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['x' => 0.4, 'y' => 0.7],
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['x' => 1.2, 'y' => 0.6],
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['x' => 1.8, 'y' => 1.1],
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['x' => 2.0, 'y' => 0.9],
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],
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0.0, DerivativeType::SECOND,
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0.0, DerivativeType::SECOND,
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);
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self::assertEqualsWithDelta(-0.140528, $interpolation->interpolate(0), 0.001);
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self::assertEqualsWithDelta(-0.016007, $interpolation->interpolate(2.5), 0.001);
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}
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}
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