mirror of
https://github.com/Karaka-Management/phpOMS.git
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361 lines
8.3 KiB
PHP
361 lines
8.3 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\Vector;
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class MatrixTest extends \PHPUnit\Framework\TestCase
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{
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protected $A = null;
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protected $B = null;
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protected $C = null;
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protected function setUp() : void
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{
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$this->A = new Matrix(2, 3);
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$this->A->setMatrix([
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[1, 0, -2],
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[0, 3, -1],
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]);
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$this->B = new Matrix(3, 2);
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$this->B->setMatrix([
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[0, 3],
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[-2, -1],
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[0, 4],
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]);
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$this->C = $this->A->mult($this->B);
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}
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public function testBase() : void
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{
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self::assertEquals(2, $this->A->getM());
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self::assertEquals(3, $this->A->getN());
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// LU decomposition
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}
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public function testMult() : void
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{
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self::assertEquals([[0, -5], [-6, -7]], $this->C->getMatrix());
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self::assertEquals([[0, -10], [-12, -14]], $this->C->mult(2)->getMatrix());
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}
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public function testAddSub() : void
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{
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$A = new Matrix();
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$A->setMatrix([[1, 2], [3, 4]]);
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self::assertEquals([[1 - 2, 2 - 2], [3 - 2, 4 - 2]], $A->sub(2)->toArray());
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self::assertEquals([[1 + 2, 2 + 2], [3 + 2, 4 + 2]], $A->add(2)->toArray());
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$B = new Matrix();
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$B->setMatrix([[1, 2], [3, 4]]);
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self::assertEquals([[1 - 1, 2 - 2], [3 - 3, 4 - 4]], $A->sub($B)->toArray());
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self::assertEquals([[1 + 1, 2 + 2], [3 + 3, 4 + 4]], $A->add($B)->toArray());
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}
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public function testDet() : void
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{
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$B = new Matrix();
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$B->setMatrix([
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[6, 1, 1],
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[4, -2, 5],
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[2, 8, 7],
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]);
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self::assertEquals(-306, $B->det());
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}
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public function testSymmetry() : void
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{
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$B = new Matrix();
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$B->setMatrix([
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[1, 7, 3],
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[7, -2, -5],
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[3, -5, 6],
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]);
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self::assertTrue($B->isSymmetric());
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$C = new Matrix();
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$C->setMatrix([
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[1, 7, 4],
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[7, -2, -5],
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[3, -5, 6],
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]);
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self::assertFalse($C->isSymmetric());
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}
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public function testTranspose() : void
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{
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$B = new Matrix();
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$B->setMatrix([
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[6, 1, 1],
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[4, -2, 5],
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]);
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self::assertEquals([[6, 4], [1, -2], [1, 5],], $B->transpose()->toArray());
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}
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public function testSolve() : void
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{
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$A = new Matrix();
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$A->setMatrix([
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[25, 15, -5],
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[15, 17, 0],
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[-5, 0, 11],
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]);
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$vec = new Vector();
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$vec->setMatrix([[40], [49], [28]]);
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self::assertEqualsWithDelta([[1], [2], [3]], $A->solve($vec)->toArray(), 0.2);
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}
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public function testRank() : void
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{
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$B = new Matrix();
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$B->setMatrix([
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[0, 1, 2],
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[1, 2, 1],
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[2, 7, 8],
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]);
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self::assertEquals(2, $B->rank());
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$B->setMatrix([
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[1, 0, 2],
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[2, 1, 0],
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[3, 2, 1],
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]);
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self::assertEquals(3, $B->rank());
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$B->setMatrix([
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[1, 0, 2],
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[2, 1, 0],
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]);
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self::assertEquals(2, $B->rank());
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$B->setMatrix([
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[1, 2],
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[0, 1],
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[2, 0],
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]);
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self::assertEquals(2, $B->rank());
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}
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public function testInverse() : void
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{
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$A = new Matrix();
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$A->setMatrix([
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[1, -2, 3],
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[5, 8, -1],
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[2, 1, 1],
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]);
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self::markTestIncomplete();
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// todo: result column 0 and 1 are swapped. why? still correct?
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/*self::assertEquals([
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[-0.9, -0.5, 2.2],
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[0.7, 0.5, -1.6],
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[1.1, 0.5, -1.8],
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], $A->inverse()->toArray(), '', 0.2);*/
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}
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public function testReduce() : void
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{
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self::assertEquals([[-6, -7], [0, -5]], $this->C->upperTriangular()->getMatrix());
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//self::assertEquals([], $this->C->lowerTriangular()->getMatrix());
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//self::assertEquals([], $this->C->diagonalize()->getMatrix());
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}
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public function testGetSet() : void
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{
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$id = new Matrix();
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$id->setMatrix([
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[1, 0, 0, 0, 0],
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[0, 1, 0, 0, 0],
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[0, 0, 1, 0, 0],
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[0, 0, 0, 1, 0],
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[0, 0, 0, 0, 1],
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]);
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self::assertEquals(1, $id->get(1, 1));
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self::assertEquals(0, $id->get(1, 2));
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$id->set(1, 2, 4);
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self::assertEquals(4, $id->get(1, 2));
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self::assertEquals(
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[
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[1, 0, 0, 0, 0],
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[0, 1, 4, 0, 0],
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[0, 0, 1, 0, 0],
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[0, 0, 0, 1, 0],
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[0, 0, 0, 0, 1],
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],
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$id->toArray()
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);
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}
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public function testArrayAccess() : void
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{
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$A = new Matrix();
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$A->setMatrix([
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[0, 1, 2, 3],
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[4, 5, 6, 7],
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[8, 9, 10, 11],
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[12, 13, 14, 15],
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]);
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foreach ($A as $key => $value) {
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self::assertEquals($key, $value);
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}
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self::assertEquals(5, $A[5]);
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$A[5] = 6;
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self::assertEquals(6, $A[5]);
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self::assertTrue(isset($A[6]));
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self::assertFalse(isset($A[17]));
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unset($A[6]);
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self::assertFalse(isset($A[6]));
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}
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public function testSubMatrix() : void
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{
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$A = new Matrix();
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$A->setMatrix([
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[0, 1, 2, 3],
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[4, 5, 6, 7],
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[8, 9, 10, 11],
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[12, 13, 14, 15],
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]);
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self::assertEquals(
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[[1, 2], [5, 6], [9, 10]],
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$A->getSubMatrix(0, 2, 1, 2)->toArray()
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);
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self::assertEquals(
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[[1, 2], [5, 6], [9, 10]],
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$A->getSubMatrixByColumnsRows([0, 1, 2], [1, 2])->toArray()
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);
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self::assertEquals(
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[[1, 2], [5, 6], [9, 10]],
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$A->getSubMatrixByColumns(0, 2, [1, 2])->toArray()
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);
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self::assertEquals(
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[[1, 2], [5, 6], [9, 10]],
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$A->getSubMatrixByRows([0, 1, 2], 1, 2)->toArray()
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);
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}
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public function testInvalidSetIndexException() : void
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{
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self::expectedException(\phpOMS\Math\Matrix\Exception\InvalidDimensionException::class);
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$id = new Matrix();
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$id->setMatrix([
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[1, 0],
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[0, 1],
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]);
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$id->set(99, 99, 99);
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}
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public function testInvalidGetIndexException() : void
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{
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self::expectedException(\phpOMS\Math\Matrix\Exception\InvalidDimensionException::class);
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$id = new Matrix();
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$id->setMatrix([
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[1, 0],
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[0, 1],
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]);
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$id->get(99, 99);
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}
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public function testInvalidSub() : void
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{
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self::expectedException(\InvalidArgumentException::class);
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$id = new Matrix();
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$id->setMatrix([
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[1, 0],
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[0, 1],
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]);
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$id->sub(true);
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}
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public function testInvalidAdd() : void
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{
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self::expectedException(\InvalidArgumentException::class);
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$id = new Matrix();
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$id->setMatrix([
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[1, 0],
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[0, 1],
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]);
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$id->add(true);
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}
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public function testInvalidMult() : void
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{
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self::expectedException(\InvalidArgumentException::class);
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$id = new Matrix();
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$id->setMatrix([
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[1, 0],
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[0, 1],
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]);
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$id->mult(true);
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}
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public function testInvalidDimensionAdd() : void
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{
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self::expectedException(\phpOMS\Math\Matrix\Exception\InvalidDimensionException::class);
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$A = new Matrix();
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$A->setMatrix([[1, 2], [3, 4]]);
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$B = new Matrix();
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$B->setMatrix([[1, 2, 1], [3, 4, 1], [5, 6, 1]]);
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$A->add($B);
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}
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public function testInvalidDimensionSub() : void
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{
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self::expectedException(\phpOMS\Math\Matrix\Exception\InvalidDimensionException::class);
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$A = new Matrix();
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$A->setMatrix([[1, 2], [3, 4]]);
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$B = new Matrix();
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$B->setMatrix([[1, 2, 1], [3, 4, 1], [5, 6, 1]]);
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$A->sub($B);
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}
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}
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