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authormisterg <misterg@google.com>2017-09-19T20·54-0400
committermisterg <misterg@google.com>2017-09-19T20·54-0400
commitc2e754829628d1e9b7a16b3389cfdace76950fdf (patch)
tree5a7f056f44e27c30e10025113b644f0b3b5801fc /absl/synchronization/internal/graphcycles_test.cc
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Diffstat (limited to 'absl/synchronization/internal/graphcycles_test.cc')
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+// Copyright 2017 The Abseil Authors.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//      http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+// Copyright 2007 Google, Inc.
+// All rights reserved.
+
+// Author: Mike Burrows
+
+// A test for the GraphCycles interface.
+
+// This test is testing a component of //third_party/absl.  As written it
+// heavily uses logging, including VLOG, so this test can't ship with Abseil.
+// We're leaving it here until Abseil gets base/logging.h in a future release.
+#include "absl/synchronization/internal/graphcycles.h"
+
+#include <map>
+#include <random>
+#include <vector>
+#include <unordered_set>
+
+#include "gtest/gtest.h"
+#include "absl/base/internal/raw_logging.h"
+#include "absl/base/macros.h"
+
+namespace absl {
+namespace synchronization_internal {
+
+// We emulate a GraphCycles object with a node vector and an edge vector.
+// We then compare the two implementations.
+
+using Nodes = std::vector<int>;
+struct Edge {
+  int from;
+  int to;
+};
+using Edges = std::vector<Edge>;
+using RandomEngine = std::mt19937_64;
+
+// Mapping from integer index to GraphId.
+typedef std::map<int, GraphId> IdMap;
+static GraphId Get(const IdMap& id, int num) {
+  auto iter = id.find(num);
+  return (iter == id.end()) ? InvalidGraphId() : iter->second;
+}
+
+// Return whether "to" is reachable from "from".
+static bool IsReachable(Edges *edges, int from, int to,
+                        std::unordered_set<int> *seen) {
+  seen->insert(from);     // we are investigating "from"; don't do it again
+  if (from == to) return true;
+  for (const auto &edge : *edges) {
+    if (edge.from == from) {
+      if (edge.to == to) {  // success via edge directly
+        return true;
+      } else if (seen->find(edge.to) == seen->end() &&  // success via edge
+                 IsReachable(edges, edge.to, to, seen)) {
+        return true;
+      }
+    }
+  }
+  return false;
+}
+
+static void PrintEdges(Edges *edges) {
+  ABSL_RAW_LOG(INFO, "EDGES (%zu)", edges->size());
+  for (const auto &edge : *edges) {
+    int a = edge.from;
+    int b = edge.to;
+    ABSL_RAW_LOG(INFO, "%d %d", a, b);
+  }
+  ABSL_RAW_LOG(INFO, "---");
+}
+
+static void PrintGCEdges(Nodes *nodes, const IdMap &id, GraphCycles *gc) {
+  ABSL_RAW_LOG(INFO, "GC EDGES");
+  for (int a : *nodes) {
+    for (int b : *nodes) {
+      if (gc->HasEdge(Get(id, a), Get(id, b))) {
+        ABSL_RAW_LOG(INFO, "%d %d", a, b);
+      }
+    }
+  }
+  ABSL_RAW_LOG(INFO, "---");
+}
+
+static void PrintTransitiveClosure(Nodes *nodes, Edges *edges) {
+  ABSL_RAW_LOG(INFO, "Transitive closure");
+  for (int a : *nodes) {
+    for (int b : *nodes) {
+      std::unordered_set<int> seen;
+      if (IsReachable(edges, a, b, &seen)) {
+        ABSL_RAW_LOG(INFO, "%d %d", a, b);
+      }
+    }
+  }
+  ABSL_RAW_LOG(INFO, "---");
+}
+
+static void PrintGCTransitiveClosure(Nodes *nodes, const IdMap &id,
+                                     GraphCycles *gc) {
+  ABSL_RAW_LOG(INFO, "GC Transitive closure");
+  for (int a : *nodes) {
+    for (int b : *nodes) {
+      if (gc->IsReachable(Get(id, a), Get(id, b))) {
+        ABSL_RAW_LOG(INFO, "%d %d", a, b);
+      }
+    }
+  }
+  ABSL_RAW_LOG(INFO, "---");
+}
+
+static void CheckTransitiveClosure(Nodes *nodes, Edges *edges, const IdMap &id,
+                                   GraphCycles *gc) {
+  std::unordered_set<int> seen;
+  for (const auto &a : *nodes) {
+    for (const auto &b : *nodes) {
+      seen.clear();
+      bool gc_reachable = gc->IsReachable(Get(id, a), Get(id, b));
+      bool reachable = IsReachable(edges, a, b, &seen);
+      if (gc_reachable != reachable) {
+        PrintEdges(edges);
+        PrintGCEdges(nodes, id, gc);
+        PrintTransitiveClosure(nodes, edges);
+        PrintGCTransitiveClosure(nodes, id, gc);
+        ABSL_RAW_LOG(FATAL, "gc_reachable %s reachable %s a %d b %d",
+                     gc_reachable ? "true" : "false",
+                     reachable ? "true" : "false", a, b);
+      }
+    }
+  }
+}
+
+static void CheckEdges(Nodes *nodes, Edges *edges, const IdMap &id,
+                       GraphCycles *gc) {
+  int count = 0;
+  for (const auto &edge : *edges) {
+    int a = edge.from;
+    int b = edge.to;
+    if (!gc->HasEdge(Get(id, a), Get(id, b))) {
+      PrintEdges(edges);
+      PrintGCEdges(nodes, id, gc);
+      ABSL_RAW_LOG(FATAL, "!gc->HasEdge(%d, %d)", a, b);
+    }
+  }
+  for (const auto &a : *nodes) {
+    for (const auto &b : *nodes) {
+      if (gc->HasEdge(Get(id, a), Get(id, b))) {
+        count++;
+      }
+    }
+  }
+  if (count != edges->size()) {
+    PrintEdges(edges);
+    PrintGCEdges(nodes, id, gc);
+    ABSL_RAW_LOG(FATAL, "edges->size() %zu  count %d", edges->size(), count);
+  }
+}
+
+static void CheckInvariants(const GraphCycles &gc) {
+  if (ABSL_PREDICT_FALSE(!gc.CheckInvariants()))
+    ABSL_RAW_LOG(FATAL, "CheckInvariants");
+}
+
+// Returns the index of a randomly chosen node in *nodes.
+// Requires *nodes be non-empty.
+static int RandomNode(RandomEngine* rng, Nodes *nodes) {
+  std::uniform_int_distribution<int> uniform(0, nodes->size()-1);
+  return uniform(*rng);
+}
+
+// Returns the index of a randomly chosen edge in *edges.
+// Requires *edges be non-empty.
+static int RandomEdge(RandomEngine* rng, Edges *edges) {
+  std::uniform_int_distribution<int> uniform(0, edges->size()-1);
+  return uniform(*rng);
+}
+
+// Returns the index of edge (from, to) in *edges or -1 if it is not in *edges.
+static int EdgeIndex(Edges *edges, int from, int to) {
+  int i = 0;
+  while (i != edges->size() &&
+         ((*edges)[i].from != from || (*edges)[i].to != to)) {
+    i++;
+  }
+  return i == edges->size()? -1 : i;
+}
+
+TEST(GraphCycles, RandomizedTest) {
+  int next_node = 0;
+  Nodes nodes;
+  Edges edges;   // from, to
+  IdMap id;
+  GraphCycles graph_cycles;
+  static const int kMaxNodes = 7;  // use <= 7 nodes to keep test short
+  static const int kDataOffset = 17;  // an offset to the node-specific data
+  int n = 100000;
+  int op = 0;
+  RandomEngine rng(testing::UnitTest::GetInstance()->random_seed());
+  std::uniform_int_distribution<int> uniform(0, 5);
+
+  auto ptr = [](intptr_t i) {
+    return reinterpret_cast<void*>(i + kDataOffset);
+  };
+
+  for (int iter = 0; iter != n; iter++) {
+    for (const auto &node : nodes) {
+      ASSERT_EQ(graph_cycles.Ptr(Get(id, node)), ptr(node)) << " node " << node;
+    }
+    CheckEdges(&nodes, &edges, id, &graph_cycles);
+    CheckTransitiveClosure(&nodes, &edges, id, &graph_cycles);
+    op = uniform(rng);
+    switch (op) {
+    case 0:     // Add a node
+      if (nodes.size() < kMaxNodes) {
+        int new_node = next_node++;
+        GraphId new_gnode = graph_cycles.GetId(ptr(new_node));
+        ASSERT_NE(new_gnode, InvalidGraphId());
+        id[new_node] = new_gnode;
+        ASSERT_EQ(ptr(new_node), graph_cycles.Ptr(new_gnode));
+        nodes.push_back(new_node);
+      }
+      break;
+
+    case 1:    // Remove a node
+      if (nodes.size() > 0) {
+        int node_index = RandomNode(&rng, &nodes);
+        int node = nodes[node_index];
+        nodes[node_index] = nodes.back();
+        nodes.pop_back();
+        graph_cycles.RemoveNode(ptr(node));
+        ASSERT_EQ(graph_cycles.Ptr(Get(id, node)), nullptr);
+        id.erase(node);
+        int i = 0;
+        while (i != edges.size()) {
+          if (edges[i].from == node || edges[i].to == node) {
+            edges[i] = edges.back();
+            edges.pop_back();
+          } else {
+            i++;
+          }
+        }
+      }
+      break;
+
+    case 2:   // Add an edge
+      if (nodes.size() > 0) {
+        int from = RandomNode(&rng, &nodes);
+        int to = RandomNode(&rng, &nodes);
+        if (EdgeIndex(&edges, nodes[from], nodes[to]) == -1) {
+          if (graph_cycles.InsertEdge(id[nodes[from]], id[nodes[to]])) {
+            Edge new_edge;
+            new_edge.from = nodes[from];
+            new_edge.to = nodes[to];
+            edges.push_back(new_edge);
+          } else {
+            std::unordered_set<int> seen;
+            ASSERT_TRUE(IsReachable(&edges, nodes[to], nodes[from], &seen))
+                << "Edge " << nodes[to] << "->" << nodes[from];
+          }
+        }
+      }
+      break;
+
+    case 3:    // Remove an edge
+      if (edges.size() > 0) {
+        int i = RandomEdge(&rng, &edges);
+        int from = edges[i].from;
+        int to = edges[i].to;
+        ASSERT_EQ(i, EdgeIndex(&edges, from, to));
+        edges[i] = edges.back();
+        edges.pop_back();
+        ASSERT_EQ(-1, EdgeIndex(&edges, from, to));
+        graph_cycles.RemoveEdge(id[from], id[to]);
+      }
+      break;
+
+    case 4:   // Check a path
+      if (nodes.size() > 0) {
+        int from = RandomNode(&rng, &nodes);
+        int to = RandomNode(&rng, &nodes);
+        GraphId path[2*kMaxNodes];
+        int path_len = graph_cycles.FindPath(id[nodes[from]], id[nodes[to]],
+                                             ABSL_ARRAYSIZE(path), path);
+        std::unordered_set<int> seen;
+        bool reachable = IsReachable(&edges, nodes[from], nodes[to], &seen);
+        bool gc_reachable =
+            graph_cycles.IsReachable(Get(id, nodes[from]), Get(id, nodes[to]));
+        ASSERT_EQ(path_len != 0, reachable);
+        ASSERT_EQ(path_len != 0, gc_reachable);
+        // In the following line, we add one because a node can appear
+        // twice, if the path is from that node to itself, perhaps via
+        // every other node.
+        ASSERT_LE(path_len, kMaxNodes + 1);
+        if (path_len != 0) {
+          ASSERT_EQ(id[nodes[from]], path[0]);
+          ASSERT_EQ(id[nodes[to]], path[path_len-1]);
+          for (int i = 1; i < path_len; i++) {
+            ASSERT_TRUE(graph_cycles.HasEdge(path[i-1], path[i]));
+          }
+        }
+      }
+      break;
+
+    case 5:  // Check invariants
+      CheckInvariants(graph_cycles);
+      break;
+
+    default:
+      ABSL_RAW_LOG(FATAL, "op %d", op);
+    }
+
+    // Very rarely, test graph expansion by adding then removing many nodes.
+    std::bernoulli_distribution one_in_1024(1.0 / 1024);
+    if (one_in_1024(rng)) {
+      CheckEdges(&nodes, &edges, id, &graph_cycles);
+      CheckTransitiveClosure(&nodes, &edges, id, &graph_cycles);
+      for (int i = 0; i != 256; i++) {
+        int new_node = next_node++;
+        GraphId new_gnode = graph_cycles.GetId(ptr(new_node));
+        ASSERT_NE(InvalidGraphId(), new_gnode);
+        id[new_node] = new_gnode;
+        ASSERT_EQ(ptr(new_node), graph_cycles.Ptr(new_gnode));
+        for (const auto &node : nodes) {
+          ASSERT_NE(node, new_node);
+        }
+        nodes.push_back(new_node);
+      }
+      for (int i = 0; i != 256; i++) {
+        ASSERT_GT(nodes.size(), 0);
+        int node_index = RandomNode(&rng, &nodes);
+        int node = nodes[node_index];
+        nodes[node_index] = nodes.back();
+        nodes.pop_back();
+        graph_cycles.RemoveNode(ptr(node));
+        id.erase(node);
+        int j = 0;
+        while (j != edges.size()) {
+          if (edges[j].from == node || edges[j].to == node) {
+            edges[j] = edges.back();
+            edges.pop_back();
+          } else {
+            j++;
+          }
+        }
+      }
+      CheckInvariants(graph_cycles);
+    }
+  }
+}
+
+class GraphCyclesTest : public ::testing::Test {
+ public:
+  IdMap id_;
+  GraphCycles g_;
+
+  static void* Ptr(int i) {
+    return reinterpret_cast<void*>(static_cast<uintptr_t>(i));
+  }
+
+  static int Num(void* ptr) {
+    return static_cast<int>(reinterpret_cast<uintptr_t>(ptr));
+  }
+
+  // Test relies on ith NewNode() call returning Node numbered i
+  GraphCyclesTest() {
+    for (int i = 0; i < 100; i++) {
+      id_[i] = g_.GetId(Ptr(i));
+    }
+    CheckInvariants(g_);
+  }
+
+  bool AddEdge(int x, int y) {
+    return g_.InsertEdge(Get(id_, x), Get(id_, y));
+  }
+
+  void AddMultiples() {
+    // For every node x > 0: add edge to 2*x, 3*x
+    for (int x = 1; x < 25; x++) {
+      EXPECT_TRUE(AddEdge(x, 2*x)) << x;
+      EXPECT_TRUE(AddEdge(x, 3*x)) << x;
+    }
+    CheckInvariants(g_);
+  }
+
+  std::string Path(int x, int y) {
+    GraphId path[5];
+    int np = g_.FindPath(Get(id_, x), Get(id_, y), ABSL_ARRAYSIZE(path), path);
+    std::string result;
+    for (int i = 0; i < np; i++) {
+      if (i >= ABSL_ARRAYSIZE(path)) {
+        result += " ...";
+        break;
+      }
+      if (!result.empty()) result.push_back(' ');
+      char buf[20];
+      snprintf(buf, sizeof(buf), "%d", Num(g_.Ptr(path[i])));
+      result += buf;
+    }
+    return result;
+  }
+};
+
+TEST_F(GraphCyclesTest, NoCycle) {
+  AddMultiples();
+  CheckInvariants(g_);
+}
+
+TEST_F(GraphCyclesTest, SimpleCycle) {
+  AddMultiples();
+  EXPECT_FALSE(AddEdge(8, 4));
+  EXPECT_EQ("4 8", Path(4, 8));
+  CheckInvariants(g_);
+}
+
+TEST_F(GraphCyclesTest, IndirectCycle) {
+  AddMultiples();
+  EXPECT_TRUE(AddEdge(16, 9));
+  CheckInvariants(g_);
+  EXPECT_FALSE(AddEdge(9, 2));
+  EXPECT_EQ("2 4 8 16 9", Path(2, 9));
+  CheckInvariants(g_);
+}
+
+TEST_F(GraphCyclesTest, LongPath) {
+  ASSERT_TRUE(AddEdge(2, 4));
+  ASSERT_TRUE(AddEdge(4, 6));
+  ASSERT_TRUE(AddEdge(6, 8));
+  ASSERT_TRUE(AddEdge(8, 10));
+  ASSERT_TRUE(AddEdge(10, 12));
+  ASSERT_FALSE(AddEdge(12, 2));
+  EXPECT_EQ("2 4 6 8 10 ...", Path(2, 12));
+  CheckInvariants(g_);
+}
+
+TEST_F(GraphCyclesTest, RemoveNode) {
+  ASSERT_TRUE(AddEdge(1, 2));
+  ASSERT_TRUE(AddEdge(2, 3));
+  ASSERT_TRUE(AddEdge(3, 4));
+  ASSERT_TRUE(AddEdge(4, 5));
+  g_.RemoveNode(g_.Ptr(id_[3]));
+  id_.erase(3);
+  ASSERT_TRUE(AddEdge(5, 1));
+}
+
+TEST_F(GraphCyclesTest, ManyEdges) {
+  const int N = 50;
+  for (int i = 0; i < N; i++) {
+    for (int j = 1; j < N; j++) {
+      ASSERT_TRUE(AddEdge(i, i+j));
+    }
+  }
+  CheckInvariants(g_);
+  ASSERT_TRUE(AddEdge(2*N-1, 0));
+  CheckInvariants(g_);
+  ASSERT_FALSE(AddEdge(10, 9));
+  CheckInvariants(g_);
+}
+
+}  // namespace synchronization_internal
+}  // namespace absl