2 --> 3 5 ---> 6 // | ^ ^ // | | | // | | | // +---> 4 <-- 7 8 ---> 9 $graph = $this->normalizeGraph([ 1 => [2], 2 => [3, 4], 3 => [], 4 => [3], 5 => [6], 7 => [4, 5], 8 => [9], 9 => [], ]); $graph_object = new Graph($graph); $graph = $graph_object->searchAndSort(); $expected_paths = [ 1 => [2, 3, 4], 2 => [3, 4], 3 => [], 4 => [3], 5 => [6], 7 => [4, 3, 5, 6], 8 => [9], 9 => [], ]; $this->assertPaths($graph, $expected_paths); $expected_reverse_paths = [ 1 => [], 2 => [1], 3 => [2, 1, 4, 7], 4 => [2, 1, 7], 5 => [7], 7 => [], 8 => [], 9 => [8], ]; $this->assertReversePaths($graph, $expected_reverse_paths); // Assert that DFS didn't created "missing" vertexes automatically. $this->assertFalse(isset($graph[6]), 'Vertex 6 has not been created'); $expected_components = [ [1, 2, 3, 4, 5, 7], [8, 9], ]; $this->assertComponents($graph, $expected_components); $expected_weights = [ [1, 2, 3], [2, 4, 3], [7, 4, 3], [7, 5], [8, 9], ]; $this->assertWeights($graph, $expected_weights); } /** * Normalizes a graph. * * @param $graph * A graph array processed by \Drupal\Component\Graph\Graph::searchAndSort() * * @return array * The normalized version of a graph. */ protected function normalizeGraph($graph) { $normalized_graph = []; foreach ($graph as $vertex => $edges) { // Create vertex even if it hasn't any edges. $normalized_graph[$vertex] = []; foreach ($edges as $edge) { $normalized_graph[$vertex]['edges'][$edge] = TRUE; } } return $normalized_graph; } /** * Verify expected paths in a graph. * * @param $graph * A graph array processed by \Drupal\Component\Graph\Graph::searchAndSort() * @param $expected_paths * An associative array containing vertices with their expected paths. */ protected function assertPaths($graph, $expected_paths) { foreach ($expected_paths as $vertex => $paths) { // Build an array with keys = $paths and values = TRUE. $expected = array_fill_keys($paths, TRUE); $result = isset($graph[$vertex]['paths']) ? $graph[$vertex]['paths'] : []; $this->assertEquals($expected, $result, sprintf('Expected paths for vertex %s: %s, got %s', $vertex, $this->displayArray($expected, TRUE), $this->displayArray($result, TRUE))); } } /** * Verify expected reverse paths in a graph. * * @param $graph * A graph array processed by \Drupal\Component\Graph\Graph::searchAndSort() * @param $expected_reverse_paths * An associative array containing vertices with their expected reverse * paths. */ protected function assertReversePaths($graph, $expected_reverse_paths) { foreach ($expected_reverse_paths as $vertex => $paths) { // Build an array with keys = $paths and values = TRUE. $expected = array_fill_keys($paths, TRUE); $result = isset($graph[$vertex]['reverse_paths']) ? $graph[$vertex]['reverse_paths'] : []; $this->assertEquals($expected, $result, sprintf('Expected reverse paths for vertex %s: %s, got %s', $vertex, $this->displayArray($expected, TRUE), $this->displayArray($result, TRUE))); } } /** * Verify expected components in a graph. * * @param $graph * A graph array processed by \Drupal\Component\Graph\Graph::searchAndSort(). * @param $expected_components * An array containing of components defined as a list of their vertices. */ protected function assertComponents($graph, $expected_components) { $unassigned_vertices = array_fill_keys(array_keys($graph), TRUE); foreach ($expected_components as $component) { $result_components = []; foreach ($component as $vertex) { $result_components[] = $graph[$vertex]['component']; unset($unassigned_vertices[$vertex]); } $this->assertEquals(1, count(array_unique($result_components)), sprintf('Expected one unique component for vertices %s, got %s', $this->displayArray($component), $this->displayArray($result_components))); } $this->assertEquals([], $unassigned_vertices, sprintf('Vertices not assigned to a component: %s', $this->displayArray($unassigned_vertices, TRUE))); } /** * Verify expected order in a graph. * * @param $graph * A graph array processed by \Drupal\Component\Graph\Graph::searchAndSort() * @param $expected_orders * An array containing lists of vertices in their expected order. */ protected function assertWeights($graph, $expected_orders) { foreach ($expected_orders as $order) { $previous_vertex = array_shift($order); foreach ($order as $vertex) { $this->assertTrue($graph[$previous_vertex]['weight'] < $graph[$vertex]['weight'], sprintf('Weights of %s and %s are correct relative to each other', $previous_vertex, $vertex)); } } } /** * Helper function to output vertices as comma-separated list. * * @param $paths * An array containing a list of vertices. * @param $keys * (optional) Whether to output the keys of $paths instead of the values. */ protected function displayArray($paths, $keys = FALSE) { if (!empty($paths)) { return implode(', ', $keys ? array_keys($paths) : $paths); } else { return '(empty)'; } } }