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+<?php
+
+/**
+ * @file
+ * Provides unit tests for graph.inc.
+ */
+
+/**
+ * Unit tests for the graph handling features.
+ */
+class GraphUnitTest extends DrupalUnitTestCase {
+ public static function getInfo() {
+ return array(
+ 'name' => 'Graph',
+ 'description' => 'Graph handling unit tests.',
+ 'group' => 'System',
+ );
+ }
+
+ function setUp() {
+ require_once DRUPAL_ROOT . '/includes/graph.inc';
+ parent::setUp();
+ }
+
+ /**
+ * Test depth-first-search features.
+ */
+ function testDepthFirstSearch() {
+ // The sample graph used is:
+ // 1 --> 2 --> 3 5 ---> 6
+ // | ^ ^
+ // | | |
+ // | | |
+ // +---> 4 <-- 7 8 ---> 9
+ $graph = $this->normalizeGraph(array(
+ 1 => array(2),
+ 2 => array(3, 4),
+ 3 => array(),
+ 4 => array(3),
+ 5 => array(6),
+ 7 => array(4, 5),
+ 8 => array(9),
+ 9 => array(),
+ ));
+ drupal_depth_first_search($graph);
+
+ $expected_paths = array(
+ 1 => array(2, 3, 4),
+ 2 => array(3, 4),
+ 3 => array(),
+ 4 => array(3),
+ 5 => array(6),
+ 7 => array(4, 3, 5, 6),
+ 8 => array(9),
+ 9 => array(),
+ );
+ $this->assertPaths($graph, $expected_paths);
+
+ $expected_reverse_paths = array(
+ 1 => array(),
+ 2 => array(1),
+ 3 => array(2, 1, 4, 7),
+ 4 => array(2, 1, 7),
+ 5 => array(7),
+ 7 => array(),
+ 8 => array(),
+ 9 => array(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 = array(
+ array(1, 2, 3, 4, 5, 7),
+ array(8, 9),
+ );
+ $this->assertComponents($graph, $expected_components);
+
+ $expected_weights = array(
+ array(1, 2, 3),
+ array(2, 4, 3),
+ array(7, 4, 3),
+ array(7, 5),
+ array(8, 9),
+ );
+ $this->assertWeights($graph, $expected_weights);
+ }
+
+ /**
+ * Return a normalized version of a graph.
+ */
+ function normalizeGraph($graph) {
+ $normalized_graph = array();
+ foreach ($graph as $vertex => $edges) {
+ // Create vertex even if it hasn't any edges.
+ $normalized_graph[$vertex] = array();
+ 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_depth_first_search().
+ * @param $expected_paths
+ * An associative array containing vertices with their expected paths.
+ */
+ function assertPaths($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'] : array();
+ $this->assertEqual($expected, $result, format_string('Expected paths for vertex @vertex: @expected-paths, got @paths', array('@vertex' => $vertex, '@expected-paths' => $this->displayArray($expected, TRUE), '@paths' => $this->displayArray($result, TRUE))));
+ }
+ }
+
+ /**
+ * Verify expected reverse paths in a graph.
+ *
+ * @param $graph
+ * A graph array processed by drupal_depth_first_search().
+ * @param $expected_reverse_paths
+ * An associative array containing vertices with their expected reverse
+ * paths.
+ */
+ function assertReversePaths($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'] : array();
+ $this->assertEqual($expected, $result, format_string('Expected reverse paths for vertex @vertex: @expected-paths, got @paths', array('@vertex' => $vertex, '@expected-paths' => $this->displayArray($expected, TRUE), '@paths' => $this->displayArray($result, TRUE))));
+ }
+ }
+
+ /**
+ * Verify expected components in a graph.
+ *
+ * @param $graph
+ * A graph array processed by drupal_depth_first_search().
+ * @param $expected_components
+ * An array containing of components defined as a list of their vertices.
+ */
+ function assertComponents($graph, $expected_components) {
+ $unassigned_vertices = array_fill_keys(array_keys($graph), TRUE);
+ foreach ($expected_components as $component) {
+ $result_components = array();
+ foreach ($component as $vertex) {
+ $result_components[] = $graph[$vertex]['component'];
+ unset($unassigned_vertices[$vertex]);
+ }
+ $this->assertEqual(1, count(array_unique($result_components)), format_string('Expected one unique component for vertices @vertices, got @components', array('@vertices' => $this->displayArray($component), '@components' => $this->displayArray($result_components))));
+ }
+ $this->assertEqual(array(), $unassigned_vertices, format_string('Vertices not assigned to a component: @vertices', array('@vertices' => $this->displayArray($unassigned_vertices, TRUE))));
+ }
+
+ /**
+ * Verify expected order in a graph.
+ *
+ * @param $graph
+ * A graph array processed by drupal_depth_first_search().
+ * @param $expected_orders
+ * An array containing lists of vertices in their expected order.
+ */
+ function assertWeights($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'], format_string('Weights of @previous-vertex and @vertex are correct relative to each other', array('@previous-vertex' => $previous_vertex, '@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 $paths instead of the values.
+ */
+ function displayArray($paths, $keys = FALSE) {
+ if (!empty($paths)) {
+ return implode(', ', $keys ? array_keys($paths) : $paths);
+ }
+ else {
+ return '(empty)';
+ }
+ }
+}
+