/* * Copyright 2023 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. */ #ifndef wasm_analysis_lattices_array_h #define wasm_analysis_lattices_array_h #include #include #include "../lattice.h" #include "bool.h" #include "flat.h" namespace wasm::analysis { // A lattice whose elements are N-tuples of elements of L. Also written as L^N. // N is supplied at compile time rather than run time like it is for Vector. template struct Array { using Element = std::array; L lattice; Array(L&& lattice) : lattice(std::move(lattice)) {} private: // Use a template parameter pack to generate N copies of // `lattice.getBottom()`. TODO: Use C++20 lambda template parameters instead // of a separate helper function. template Element getBottomImpl(std::index_sequence) const noexcept { return {((void)I, lattice.getBottom())...}; } template Element getTopImpl(std::index_sequence) const noexcept { return {((void)I, lattice.getTop())...}; } public: Element getBottom() const noexcept { return getBottomImpl(std::make_index_sequence()); } Element getTop() const noexcept #if __cplusplus >= 202002L requires FullLattice #endif { return getTopImpl(std::make_index_sequence()); } // `a` <= `b` if all their elements are pairwise <=, etc. Unless we determine // that there is no relation, we must check all the elements. LatticeComparison compare(const Element& a, const Element& b) const noexcept { auto result = EQUAL; for (size_t i = 0; i < N; ++i) { switch (lattice.compare(a[i], b[i])) { case NO_RELATION: return NO_RELATION; case EQUAL: continue; case LESS: if (result == GREATER) { // Cannot be both less and greater. return NO_RELATION; } result = LESS; continue; case GREATER: if (result == LESS) { // Cannot be both greater and less. return NO_RELATION; } result = GREATER; continue; } } return result; } // Pairwise join on the elements. bool join(Element& joinee, const Element& joiner) const noexcept { bool result = false; for (size_t i = 0; i < N; ++i) { result |= lattice.join(joinee[i], joiner[i]); } return result; } // Pairwise meet on the elements. bool meet(Element& meetee, const Element& meeter) const noexcept #if __cplusplus >= 202002L requires FullLattice #endif { bool result = false; for (size_t i = 0; i < N; ++i) { result |= lattice.meet(meetee[i], meeter[i]); } return result; } }; #if __cplusplus >= 202002L static_assert(FullLattice>); static_assert(Lattice, 1>>); #endif } // namespace wasm::analysis #endif // wasm_analysis_lattices_array_h