/* * 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_vector_h #define wasm_analysis_lattices_vector_h #include <vector> #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 run time rather than compile time like it is for Array. template<Lattice L> struct Vector { using Element = std::vector<typename L::Element>; L lattice; const size_t size; Vector(L&& lattice, size_t size) : lattice(std::move(lattice)), size(size) {} Element getBottom() const noexcept { return Element(size, lattice.getBottom()); } Element getTop() const noexcept #if __cplusplus >= 202002L requires FullLattice<L> #endif { return Element(size, lattice.getTop()); } // `a` <= `b` if 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 { assert(a.size() == size); assert(b.size() == size); auto result = EQUAL; for (size_t i = 0; i < size; ++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 { assert(joinee.size() == size); assert(joiner.size() == size); bool result = false; for (size_t i = 0; i < size; ++i) { if constexpr (std::is_same_v<typename L::Element, bool>) { // The vector<bool> specialization does not expose references to the // individual bools because they might be in a bitmap, so we need a // workaround. bool e = joinee[i]; if (lattice.join(e, joiner[i])) { joinee[i] = e; result = true; } } else { 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<L> #endif { assert(meetee.size() == size); assert(meeter.size() == size); bool result = false; for (size_t i = 0; i < size; ++i) { if constexpr (std::is_same_v<typename L::Element, bool>) { // The vector<bool> specialization does not expose references to the // individual bools because they might be in a bitmap, so we need a // workaround. bool e = meetee[i]; if (lattice.meet(e, meeter[i])) { meetee[i] = e; result = true; } } else { result |= lattice.meet(meetee[i], meeter[i]); } } return result; } }; #if __cplusplus >= 202002L static_assert(FullLattice<Vector<Bool>>); static_assert(Lattice<Vector<Flat<bool>>>); #endif } // namespace wasm::analysis #endif // wasm_analysis_lattices_vector_h