//===----- llvm/unittest/ADT/SCCIteratorTest.cpp - SCCIterator tests ------===// // // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. // See https://llvm.org/LICENSE.txt for license information. // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception // //===----------------------------------------------------------------------===// #include "llvm/ADT/SCCIterator.h" #include "TestGraph.h" #include "gtest/gtest.h" #include using namespace llvm; namespace llvm { TEST(SCCIteratorTest, AllSmallGraphs) { // Test SCC computation against every graph with NUM_NODES nodes or less. // Since SCC considers every node to have an implicit self-edge, we only // create graphs for which every node has a self-edge. #define NUM_NODES 4 #define NUM_GRAPHS (NUM_NODES * (NUM_NODES - 1)) typedef Graph GT; /// Enumerate all graphs using NUM_GRAPHS bits. static_assert(NUM_GRAPHS < sizeof(unsigned) * CHAR_BIT, "Too many graphs!"); for (unsigned GraphDescriptor = 0; GraphDescriptor < (1U << NUM_GRAPHS); ++GraphDescriptor) { GT G; // Add edges as specified by the descriptor. unsigned DescriptorCopy = GraphDescriptor; for (unsigned i = 0; i != NUM_NODES; ++i) for (unsigned j = 0; j != NUM_NODES; ++j) { // Always add a self-edge. if (i == j) { G.AddEdge(i, j); continue; } if (DescriptorCopy & 1) G.AddEdge(i, j); DescriptorCopy >>= 1; } // Test the SCC logic on this graph. /// NodesInSomeSCC - Those nodes which are in some SCC. GT::NodeSubset NodesInSomeSCC; for (scc_iterator I = scc_begin(G), E = scc_end(G); I != E; ++I) { const std::vector &SCC = *I; // Get the nodes in this SCC as a NodeSubset rather than a vector. GT::NodeSubset NodesInThisSCC; for (unsigned i = 0, e = SCC.size(); i != e; ++i) NodesInThisSCC.AddNode(SCC[i]->first); // There should be at least one node in every SCC. EXPECT_FALSE(NodesInThisSCC.isEmpty()); // Check that every node in the SCC is reachable from every other node in // the SCC. for (unsigned i = 0; i != NUM_NODES; ++i) if (NodesInThisSCC.count(i)) { EXPECT_TRUE(NodesInThisSCC.isSubsetOf(G.NodesReachableFrom(i))); } // OK, now that we now that every node in the SCC is reachable from every // other, this means that the set of nodes reachable from any node in the // SCC is the same as the set of nodes reachable from every node in the // SCC. Check that for every node N not in the SCC but reachable from the // SCC, no element of the SCC is reachable from N. for (unsigned i = 0; i != NUM_NODES; ++i) if (NodesInThisSCC.count(i)) { GT::NodeSubset NodesReachableFromSCC = G.NodesReachableFrom(i); GT::NodeSubset ReachableButNotInSCC = NodesReachableFromSCC.Meet(NodesInThisSCC.Complement()); for (unsigned j = 0; j != NUM_NODES; ++j) if (ReachableButNotInSCC.count(j)) { EXPECT_TRUE(G.NodesReachableFrom(j).Meet(NodesInThisSCC).isEmpty()); } // The result must be the same for all other nodes in this SCC, so // there is no point in checking them. break; } // This is indeed a SCC: a maximal set of nodes for which each node is // reachable from every other. // Check that we didn't already see this SCC. EXPECT_TRUE(NodesInSomeSCC.Meet(NodesInThisSCC).isEmpty()); NodesInSomeSCC = NodesInSomeSCC.Join(NodesInThisSCC); // Check a property that is specific to the LLVM SCC iterator and // guaranteed by it: if a node in SCC S1 has an edge to a node in // SCC S2, then S1 is visited *after* S2. This means that the set // of nodes reachable from this SCC must be contained either in the // union of this SCC and all previously visited SCC's. for (unsigned i = 0; i != NUM_NODES; ++i) if (NodesInThisSCC.count(i)) { GT::NodeSubset NodesReachableFromSCC = G.NodesReachableFrom(i); EXPECT_TRUE(NodesReachableFromSCC.isSubsetOf(NodesInSomeSCC)); // The result must be the same for all other nodes in this SCC, so // there is no point in checking them. break; } } // Finally, check that the nodes in some SCC are exactly those that are // reachable from the initial node. EXPECT_EQ(NodesInSomeSCC, G.NodesReachableFrom(0)); } } }