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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/STLExtras.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 \p Names as variable names. 
  void dump(ArrayRef<std::string> Names) const; 
 
  /// 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(const SmallVector<int64_t, 8> &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(makeArrayRef(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.push_back(R); 
    return true; 
  } 
 
  bool addVariableRowFill(const SmallVector<int64_t, 8> &R) { 
    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); 
 
  void popLastConstraint() { Constraints.pop_back(); } 
 
  /// Returns the number of rows in the constraint system. 
  unsigned size() const { return Constraints.size(); } 
}; 
} // namespace llvm 
 
#endif // LLVM_ANALYSIS_CONSTRAINTSYSTEM_H 
 
#ifdef __GNUC__ 
#pragma GCC diagnostic pop 
#endif