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Diffstat (limited to 'test/gtest/scc.cpp')
-rw-r--r-- | test/gtest/scc.cpp | 311 |
1 files changed, 311 insertions, 0 deletions
diff --git a/test/gtest/scc.cpp b/test/gtest/scc.cpp new file mode 100644 index 000000000..baf509d7f --- /dev/null +++ b/test/gtest/scc.cpp @@ -0,0 +1,311 @@ +/* + * Copyright 2024 WebAssembly Community Group participants + * + * 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. + */ + +#include <vector> + +#include "support/strongly_connected_components.h" +#include "gtest/gtest.h" + +using namespace wasm; + +struct IntIt { + using value_type = unsigned; + using difference_type = std::ptrdiff_t; + using reference = unsigned&; + using pointer = unsigned*; + using iterator_category = std::input_iterator_tag; + + unsigned i = 0; + + bool operator==(const IntIt& other) const { return i == other.i; } + bool operator!=(const IntIt& other) const { return !(*this == other); } + unsigned operator*() { return i; } + IntIt& operator++() { + ++i; + return *this; + } + IntIt operator++(int) { + IntIt it = *this; + ++(*this); + return it; + } +}; + +struct Graph { + std::vector<std::set<unsigned>> graph; + + explicit Graph(unsigned size) : graph(size) {} + + void addEdge(unsigned from, unsigned to) { + assert(from < graph.size()); + assert(to < graph.size()); + graph[from].insert(to); + } + + const std::set<unsigned>& children(unsigned parent) const { + return graph[parent]; + } + + IntIt begin() const { return {}; } + IntIt end() const { return {unsigned(graph.size())}; } +}; + +struct GraphSCCs : SCCs<IntIt, GraphSCCs> { + const Graph& graph; + GraphSCCs(const Graph& graph) + : SCCs<IntIt, GraphSCCs>(graph.begin(), graph.end()), graph(graph) {} + + void pushChildren(unsigned parent) { + for (auto child : graph.children(parent)) { + push(child); + } + } +}; + +using SCCSet = std::set<std::set<unsigned>>; + +SCCSet getSCCs(const Graph& graph) { + SCCSet set; + for (auto scc : GraphSCCs(graph)) { + set.emplace(scc.begin(), scc.end()); + } + return set; +} + +TEST(SCCTest, Empty) { + Graph graph(0); + GraphSCCs sccs(graph); + auto it = sccs.begin(); + EXPECT_EQ(it, sccs.end()); + + EXPECT_EQ(getSCCs(graph), SCCSet{}); +} + +TEST(SCCTest, Singleton) { + Graph graph(1); + GraphSCCs sccs(graph); + + auto it = sccs.begin(); + ASSERT_NE(it, sccs.end()); + + auto scc = *it; + auto sccIt = scc.begin(); + ASSERT_NE(sccIt, scc.end()); + EXPECT_EQ(*sccIt, 0u); + + ++sccIt; + EXPECT_EQ(sccIt, scc.end()); + ASSERT_NE(it, sccs.end()); + + ++it; + EXPECT_EQ(it, sccs.end()); + + EXPECT_EQ(getSCCs(graph), SCCSet{{0}}); +} + +TEST(SCCTest, SingletonLoop) { + // Same as above, but now there is an edge. The results are the same. + Graph graph(1); + graph.addEdge(0, 0); + GraphSCCs sccs(graph); + + auto it = sccs.begin(); + ASSERT_NE(it, sccs.end()); + + auto scc = *it; + auto sccIt = scc.begin(); + ASSERT_NE(sccIt, scc.end()); + EXPECT_EQ(*sccIt, 0u); + + ++sccIt; + EXPECT_EQ(sccIt, scc.end()); + ASSERT_NE(it, sccs.end()); + + ++it; + EXPECT_EQ(it, sccs.end()); + + EXPECT_EQ(getSCCs(graph), SCCSet{{0}}); +} + +TEST(SCCTest, DerefPostIncrement) { + // Valid input iterators must have *it++ yield the value from before the + // increment. + Graph graph(1); + GraphSCCs sccs(graph); + auto it = sccs.begin()->begin(); + EXPECT_EQ(*it++, 0u); +} + +TEST(SCCTest, Disconnected) { + // There are no edges between the vertices. + Graph graph(3); + EXPECT_EQ(getSCCs(graph), (SCCSet{{0}, {1}, {2}})); +} + +TEST(SCCTest, Chain) { + // 0 -> 1 -> 2 + Graph graph(3); + graph.addEdge(0, 1); + graph.addEdge(1, 2); + EXPECT_EQ(getSCCs(graph), (SCCSet{{0}, {1}, {2}})); +} + +TEST(SCCTest, ChainReverse) { + // 0 <- 1 <- 2 + Graph graph(3); + graph.addEdge(2, 1); + graph.addEdge(1, 0); + EXPECT_EQ(getSCCs(graph), (SCCSet{{0}, {1}, {2}})); +} + +TEST(SCCTest, Loop) { + // 0 -> 1 -> 2 -> 0 + // There is only one SCC here. + Graph graph(3); + graph.addEdge(0, 1); + graph.addEdge(1, 2); + graph.addEdge(2, 0); + EXPECT_EQ(getSCCs(graph), (SCCSet({{0, 1, 2}}))); +} + +TEST(SCCTest, LoopReverse) { + // 0 <- 1 <- 2 <- 0 + // There is only one SCC here. + Graph graph(3); + graph.addEdge(0, 2); + graph.addEdge(2, 1); + graph.addEdge(1, 0); + EXPECT_EQ(getSCCs(graph), (SCCSet({{0, 1, 2}}))); +} + +TEST(SCCTest, Full) { + // Fully connected graph has one SCC. + Graph graph(3); + for (unsigned i = 0; i < 3; ++i) { + for (unsigned j = 0; j < 3; ++j) { + graph.addEdge(i, j); + } + } + EXPECT_EQ(getSCCs(graph), (SCCSet{{0, 1, 2}})); +} + +TEST(SCCTest, TwoAndOne) { + // 0 <-> 1 -> 2 + Graph graph(3); + graph.addEdge(0, 1); + graph.addEdge(1, 0); + graph.addEdge(1, 2); + EXPECT_EQ(getSCCs(graph), (SCCSet{{0, 1}, {2}})); +} + +TEST(SCCTest, TwoAndOneRedundant) { + // 2 <- 0 <-> 1 -> 2 + Graph graph(3); + graph.addEdge(0, 1); + graph.addEdge(1, 0); + graph.addEdge(1, 2); + // New from previous, doesn't affect result. + graph.addEdge(0, 2); + EXPECT_EQ(getSCCs(graph), (SCCSet{{0, 1}, {2}})); +} + +TEST(SCCTest, OneAndTwo) { + // 0 -> 1 <-> 2 + Graph graph(3); + graph.addEdge(0, 1); + graph.addEdge(1, 2); + graph.addEdge(2, 1); + EXPECT_EQ(getSCCs(graph), (SCCSet{{0}, {1, 2}})); +} + +TEST(SCCTest, TwoAndTwoDisconnected) { + // 0 <-> 1 2 <-> 3 + Graph graph(4); + graph.addEdge(0, 1); + graph.addEdge(1, 0); + graph.addEdge(2, 3); + graph.addEdge(3, 2); + EXPECT_EQ(getSCCs(graph), (SCCSet{{0, 1}, {2, 3}})); +} + +TEST(SCCTest, TwoAndTwo) { + // 0 <-> 1 -> 2 <-> 3 + Graph graph(4); + graph.addEdge(0, 1); + graph.addEdge(1, 0); + graph.addEdge(2, 3); + graph.addEdge(3, 2); + // New from previous, doesn't affect result + graph.addEdge(1, 2); + EXPECT_EQ(getSCCs(graph), (SCCSet{{0, 1}, {2, 3}})); +} + +TEST(SCCTest, DoublyLinkedList) { + // 0 <-> 1 <-> 2 <-> 3 + Graph graph(4); + graph.addEdge(0, 1); + graph.addEdge(1, 0); + graph.addEdge(2, 3); + graph.addEdge(3, 2); + graph.addEdge(1, 2); + // New from previous, combines SCCs. + graph.addEdge(2, 1); + EXPECT_EQ(getSCCs(graph), (SCCSet{{0, 1, 2, 3}})); +} + +TEST(SCCTest, BigTree) { + // 012 <- 345 -> 678 + Graph graph(9); + graph.addEdge(0, 1); + graph.addEdge(1, 2); + graph.addEdge(2, 0); + + graph.addEdge(3, 4); + graph.addEdge(4, 5); + graph.addEdge(5, 3); + + graph.addEdge(6, 7); + graph.addEdge(7, 8); + graph.addEdge(8, 6); + + graph.addEdge(3, 2); + graph.addEdge(5, 6); + + EXPECT_EQ(getSCCs(graph), (SCCSet{{0, 1, 2}, {3, 4, 5}, {6, 7, 8}})); +} + +TEST(SCCTest, BigDiamond) { + // 67 <- 01 <- 23 -> 45 -> 67 + Graph graph(8); + graph.addEdge(0, 1); + graph.addEdge(1, 0); + + graph.addEdge(2, 3); + graph.addEdge(3, 2); + + graph.addEdge(4, 5); + graph.addEdge(5, 4); + + graph.addEdge(6, 7); + graph.addEdge(7, 6); + + graph.addEdge(2, 0); + graph.addEdge(2, 4); + graph.addEdge(0, 6); + graph.addEdge(4, 6); + + EXPECT_EQ(getSCCs(graph), (SCCSet{{0, 1}, {2, 3}, {4, 5}, {6, 7}})); +} |