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- #pragma once
- #ifdef __GNUC__
- #pragma GCC diagnostic push
- #pragma GCC diagnostic ignored "-Wunused-parameter"
- #endif
- //===- ConstraintSystem.h - A system of linear constraints. --------------===//
- //
- // 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
- //
- //===----------------------------------------------------------------------===//
- #ifndef LLVM_ANALYSIS_CONSTRAINTSYSTEM_H
- #define LLVM_ANALYSIS_CONSTRAINTSYSTEM_H
- #include "llvm/ADT/APInt.h"
- #include "llvm/ADT/ArrayRef.h"
- #include "llvm/ADT/SmallVector.h"
- #include <string>
- namespace llvm {
- class ConstraintSystem {
- /// Current linear constraints in the system.
- /// An entry of the form c0, c1, ... cn represents the following constraint:
- /// c0 >= v0 * c1 + .... + v{n-1} * cn
- SmallVector<SmallVector<int64_t, 8>, 4> Constraints;
- /// Current greatest common divisor for all coefficients in the system.
- uint32_t GCD = 1;
- // Eliminate constraints from the system using Fourier–Motzkin elimination.
- bool eliminateUsingFM();
- /// Print the constraints in the system, using x0...xn as variable names.
- void dump() const;
- /// Returns true if there may be a solution for the constraints in the system.
- bool mayHaveSolutionImpl();
- public:
- bool addVariableRow(ArrayRef<int64_t> R) {
- assert(Constraints.empty() || R.size() == Constraints.back().size());
- // If all variable coefficients are 0, the constraint does not provide any
- // usable information.
- if (all_of(ArrayRef(R).drop_front(1), [](int64_t C) { return C == 0; }))
- return false;
- for (const auto &C : R) {
- auto A = std::abs(C);
- GCD = APIntOps::GreatestCommonDivisor({32, (uint32_t)A}, {32, GCD})
- .getZExtValue();
- }
- Constraints.emplace_back(R.begin(), R.end());
- return true;
- }
- bool addVariableRowFill(ArrayRef<int64_t> R) {
- // If all variable coefficients are 0, the constraint does not provide any
- // usable information.
- if (all_of(ArrayRef(R).drop_front(1), [](int64_t C) { return C == 0; }))
- return false;
- for (auto &CR : Constraints) {
- while (CR.size() != R.size())
- CR.push_back(0);
- }
- return addVariableRow(R);
- }
- /// Returns true if there may be a solution for the constraints in the system.
- bool mayHaveSolution();
- static SmallVector<int64_t, 8> negate(SmallVector<int64_t, 8> R) {
- // The negated constraint R is obtained by multiplying by -1 and adding 1 to
- // the constant.
- R[0] += 1;
- for (auto &C : R)
- C *= -1;
- return R;
- }
- bool isConditionImplied(SmallVector<int64_t, 8> R) const;
- ArrayRef<int64_t> getLastConstraint() { return Constraints[0]; }
- void popLastConstraint() { Constraints.pop_back(); }
- void popLastNVariables(unsigned N) {
- for (auto &C : Constraints) {
- for (unsigned i = 0; i < N; i++)
- C.pop_back();
- }
- }
- /// Returns the number of rows in the constraint system.
- unsigned size() const { return Constraints.size(); }
- /// Print the constraints in the system, using \p Names as variable names.
- void dump(ArrayRef<std::string> Names) const;
- };
- } // namespace llvm
- #endif // LLVM_ANALYSIS_CONSTRAINTSYSTEM_H
- #ifdef __GNUC__
- #pragma GCC diagnostic pop
- #endif
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