mirror of
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115 lines
2.7 KiB
PHP
115 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 7.2
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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 http://website.orange-management.de
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*/
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namespace phpOMS\tests\Math\Matrix;
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use phpOMS\Math\Matrix\Matrix;
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use phpOMS\Math\Matrix\EigenvalueDecomposition;
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class EigenvalueDecompositionTest extends \PHPUnit\Framework\TestCase
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{
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public function testSymmetricMatrix()
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{
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$A = new Matrix();
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$A->setMatrix([
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[3, 1, 1],
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[1, 2, 2],
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[1, 2, 2],
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]);
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$eig = new EigenvalueDecomposition($A);
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self::assertTrue($eig->isSymmetric());
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self::assertEquals([0, 2, 5], $eig->getRealEigenvalues()->toArray(), '', 0.2);
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self::assertEquals([
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[0, 2/sqrt(6), 1/sqrt(3)],
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[1/sqrt(2), -1/sqrt(6), 1/sqrt(3)],
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[-1/sqrt(2), -1/sqrt(6), 1/sqrt(3)],
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], $eig->getV()->toArray(), '', 0.2);
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self::assertEquals([
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[0, 0, 0],
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[0, 2, 0],
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[0, 0, 5],
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], $eig->getD()->toArray(), '', 0.2);
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}
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public function testNonSymmetricMatrix()
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{
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$A = new Matrix();
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$A->setMatrix([
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[-2, -4, 2],
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[-2, 1, 2],
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[4, 2, 5],
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]);
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$eig = new EigenvalueDecomposition($A);
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self::assertFalse($eig->isSymmetric());
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self::assertEquals([-5, 3, 6], $eig->getRealEigenvalues()->toArray(), '', 0.2);
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self::assertEquals([
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[sqrt(2/3), sqrt(2/7), 1/sqrt(293)],
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[-1/sqrt(6), -3/sqrt(14), 6/sqrt(293)],
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[1/sqrt(6), -1/sqrt(14), 16/sqrt(293)],
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], $eig->getV()->toArray(), '', 0.2);
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self::assertEquals([
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[-5, 0, 0],
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[0, 3, 0],
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[0, 0, 6],
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], $eig->getD()->toArray(), '', 0.2);
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}
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public function testCompositeSymmetric()
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{
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$A = new Matrix();
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$A->setMatrix([
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[3, 1, 1],
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[1, 2, 2],
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[1, 2, 2],
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]);
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$eig = new EigenvalueDecomposition($A);
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self::assertEquals(
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$A->toArray(),
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$eig->getV()
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->mult($eig->getD())
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->mult($eig->getV()->transpose())
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->toArray()
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, '', 0.2);
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}
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public function testCompositeNonSymmetric()
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{
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$A = new Matrix();
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$A->setMatrix([
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[-2, -4, 2],
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[-2, 1, 2],
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[4, 2, 5],
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]);
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$eig = new EigenvalueDecomposition($A);
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self::assertEquals(
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$A->toArray(),
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$eig->getV()
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->mult($eig->getD())
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->mult($eig->getV()->transpose())
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->toArray(),
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'', 0.2
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);
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}
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} |