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<?php |
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namespace Fisharebest\Tests\Algorithm; |
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use Fisharebest\Algorithm\Dijkstra; |
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/** |
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* @author Greg Roach <[email protected]> |
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* @copyright (c) 2021 Greg Roach <[email protected]> |
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* @license GPL-3.0+ |
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* |
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* This program is free software: you can redistribute it and/or modify |
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* it under the terms of the GNU General Public License as published by |
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* the Free Software Foundation, either version 3 of the License, or |
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* (at your option) any later version. |
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* This program is distributed in the hope that it will be useful, |
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* but WITHOUT ANY WARRANTY; without even the implied warranty of |
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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* GNU General Public License for more details. |
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* You should have received a copy of the GNU General Public License |
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* along with this program. If not, see <https://www.gnu.org/licenses>. |
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*/ |
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class DijkstraTest extends BaseTestCase |
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{ |
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/** |
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* An undirected graph, with non-negative edge values. |
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* No two shortest paths exist with the same length. |
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* |
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* D---9---E |
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* / \ \ |
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* 14 2 6 |
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* / \ \ |
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* A---9---B--11--C |
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* \ / / |
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* 7 10 / |
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* \ / / |
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* F-----15 |
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* |
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* |
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* @var integer[][] Test graph |
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*/ |
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private $graph1 = array( |
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'A' => array('B' => 9, 'D' => 14, 'F' => 7), |
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'B' => array('A' => 9, 'C' => 11, 'D' => 2, 'F' => 10), |
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'C' => array('B' => 11, 'E' => 6, 'F' => 15), |
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'D' => array('A' => 14, 'B' => 2, 'E' => 9), |
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'E' => array('C' => 6, 'D' => 9), |
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'F' => array('A' => 7, 'B' => 10, 'C' => 15), |
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); |
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/** |
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* Test that there are no paths to/from 'G'. |
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* |
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* @return void |
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*/ |
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public function testNoPath() |
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{ |
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$dijkstra = new Dijkstra($this->graph1); |
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$this->assertSame(array(), $dijkstra->shortestPaths('A', 'G')); |
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$this->assertSame(array(), $dijkstra->shortestPaths('G', 'A')); |
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} |
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/** |
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* Test that there is a null paths to/from the same node. |
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* |
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* @return void |
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*/ |
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public function testNullPath() |
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{ |
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$dijkstra = new Dijkstra($this->graph1); |
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$this->assertSame(array(array('A')), $dijkstra->shortestPaths('A', 'A')); |
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} |
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/** |
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* Test there is a unique shortest path from 'A' to every other node. |
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* |
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* @return void |
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*/ |
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public function testUniqueShortestPath() |
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{ |
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$dijkstra = new Dijkstra($this->graph1); |
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$this->assertSame(array(array('A', 'B')), $dijkstra->shortestPaths('A', 'B')); |
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$this->assertSame(array(array('B', 'A')), $dijkstra->shortestPaths('B', 'A')); |
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$this->assertSame(array(array('A', 'B', 'C')), $dijkstra->shortestPaths('A', 'C')); |
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$this->assertSame(array(array('C', 'B', 'A')), $dijkstra->shortestPaths('C', 'A')); |
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$this->assertSame(array(array('A', 'B', 'D')), $dijkstra->shortestPaths('A', 'D')); |
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$this->assertSame(array(array('D', 'B', 'A')), $dijkstra->shortestPaths('D', 'A')); |
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$this->assertSame(array(array('A', 'B', 'D', 'E')), $dijkstra->shortestPaths('A', 'E')); |
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$this->assertSame(array(array('E', 'D', 'B', 'A')), $dijkstra->shortestPaths('E', 'A')); |
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$this->assertSame(array(array('A', 'F')), $dijkstra->shortestPaths('A', 'F')); |
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$this->assertSame(array(array('F', 'A')), $dijkstra->shortestPaths('F', 'A')); |
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} |
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/** |
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* Test the multiple shortest paths between 'E' and 'F'. |
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* |
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* @return void |
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*/ |
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public function testMultipleShortestPaths() |
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{ |
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$dijkstra = new Dijkstra($this->graph1); |
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$this->assertSame(array(array('E', 'C', 'F'), array('E', 'D', 'B', 'F')), $dijkstra->shortestPaths('E', 'F')); |
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$this->assertSame(array(array('F', 'C', 'E'), array('F', 'B', 'D', 'E')), $dijkstra->shortestPaths('F', 'E')); |
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} |
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/** |
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* Test the exclusion list, for next-shortest paths. |
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* |
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* @return void |
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*/ |
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public function testExclusionList() |
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{ |
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$dijkstra = new Dijkstra($this->graph1); |
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$this->assertSame(array(array('E', 'D', 'B', 'F')), $dijkstra->shortestPaths('E', 'F', array('C'))); |
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$this->assertSame(array(array('F', 'B', 'D', 'E')), $dijkstra->shortestPaths('F', 'E', array('C'))); |
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} |
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} |
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fisharebest /
algorithm
