/********************************************************************
 * AUTHORS: Vijay Ganesh, Trevor Hansen, Dan Liew, Mate Soos
 *
 * BEGIN DATE: November, 2005
 *
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
********************************************************************/

#include "stp/Simplifier/PropagateEqualities.h"
#include "stp/AbsRefineCounterExample/ArrayTransformer.h"
#include "stp/Simplifier/Simplifier.h"
#include <string>

namespace stp
{

/* The search functions look for variables that can be expressed in terms of
 * variables.
 * The most obvious case it doesn't check for is NOT (OR (.. .. )).
 * I suspect this could take exponential time in the worst case, but on the
 * benchmarks I've tested,
 * it finishes in reasonable time.
 * The obvious way to speed it up (if required), is to create the RHS lazily.
 */

// The old XOR code used to use updateSolverMap instead of
// UpdateSubstitutionMap, I've no idea why.

bool PropagateEqualities::searchXOR(const ASTNode& lhs, const ASTNode& rhs)
{
  Kind k = lhs.GetKind();

  if (lhs == rhs)
    return true;

  if (k == SYMBOL)
    return simp->UpdateSubstitutionMap(
        lhs, rhs); // checks whether it's been solved for or loops.

  if (k == NOT)
    return searchXOR(lhs[0], nf->CreateNode(NOT, rhs));

  bool result = false;
  if (k == XOR)
    for (size_t i = 0; i < lhs.Degree(); i++)
    {
      ASTVec others;
      for (size_t j = 0; j < lhs.Degree(); j++)
        if (j != i)
          others.push_back(lhs[j]);

      others.push_back(rhs);
      assert(others.size() > 1);
      ASTNode new_rhs = nf->CreateNode(XOR, others);

      result = searchXOR(lhs[i], new_rhs);
      if (result)
        return result;
    }

  if (k == EQ && lhs[0].GetValueWidth() == 1)
  {
    bool result = searchTerm(
        lhs[0],
        nf->CreateTerm(ITE, 1, rhs, lhs[1], nf->CreateTerm(BVNOT, 1, lhs[1])));

    if (!result)
      result = searchTerm(lhs[1],
                          nf->CreateTerm(ITE, 1, rhs, lhs[0],
                                         nf->CreateTerm(BVNOT, 1, lhs[0])));
  }

  return result;
}

bool PropagateEqualities::searchTerm(const ASTNode& lhs, const ASTNode& rhs)
{
  const unsigned width = lhs.GetValueWidth();

  if (lhs == rhs)
    return true;

  if (lhs.GetKind() == SYMBOL)
    return simp->UpdateSubstitutionMap(lhs, rhs); // checks whether it's been
                                                  // solved for, or if the RHS
                                                  // contains the LHS.

  if (lhs.GetKind() == BVUMINUS)
    return searchTerm(lhs[0], nf->CreateTerm(BVUMINUS, width, rhs));

  if (lhs.GetKind() == BVNOT)
    return searchTerm(lhs[0], nf->CreateTerm(BVNOT, width, rhs));

  if (lhs.GetKind() == BVXOR || lhs.GetKind() == BVPLUS)
    for (size_t i = 0; i < lhs.Degree(); i++)
    {
      ASTVec others;
      for (size_t j = 0; j < lhs.Degree(); j++)
        if (j != i)
          others.push_back(lhs[j]);

      ASTNode new_rhs;
      if (lhs.GetKind() == BVXOR)
      {
        others.push_back(rhs);
        assert(others.size() > 1);
        new_rhs = nf->CreateTerm(lhs.GetKind(), width, others);
      }
      else if (lhs.GetKind() == BVPLUS)
      {
        if (others.size() > 1)
          new_rhs = nf->CreateTerm(BVPLUS, width, others);
        else
          new_rhs = others[0];

        new_rhs = nf->CreateTerm(BVUMINUS, width, new_rhs);
        new_rhs = nf->CreateTerm(BVPLUS, width, new_rhs, rhs);
      }
      else
        FatalError("sdafasfsdf2q3234423");

      bool result = searchTerm(lhs[i], new_rhs);
      if (result)
        return true;
    }

  if (lhs.Degree() == 2 && lhs.GetKind() == BVMULT && lhs[0].isConstant() &&
      simp->BVConstIsOdd(lhs[0]))
    return searchTerm(lhs[1],
                      nf->CreateTerm(BVMULT, width,
                                     simp->MultiplicativeInverse(lhs[0]), rhs));

  return false;
}

// This doesn't rewrite changes through properly so needs to have a substitution
// applied to its output.
ASTNode PropagateEqualities::propagate(const ASTNode& a, ArrayTransformer* at)
{
  ASTNode output;
  // if the variable has been solved for, then simply return it
  if (simp->InsideSubstitutionMap(a, output))
    return output;

  if (!alreadyVisited.insert(a.GetNodeNum()).second)
  {
    return a;
  }

  output = a;

  // traverse a and populate the SubstitutionMap
  const Kind k = a.GetKind();
  if (SYMBOL == k && BOOLEAN_TYPE == a.GetType())
  {
    bool updated = simp->UpdateSubstitutionMap(a, ASTTrue);
    output = updated ? ASTTrue : a;
  }
  else if (NOT == k)
  {
    bool updated = searchXOR(a[0], ASTFalse);
    output = updated ? ASTTrue : a;
  }
  else if (IFF == k || EQ == k)
  {
    const ASTVec& c = a.GetChildren();

    if (c[0] == c[1])
      return ASTTrue;

    bool updated = simp->UpdateSubstitutionMap(c[0], c[1]);

    if (updated)
    {
      // fill the arrayname readindices vector if e0 is a
      // READ(Arr,index) and index is a BVCONST
      int to;
      if ((to = TermOrder(c[0], c[1])) == 1 && c[0].GetKind() == READ)
        at->FillUp_ArrReadIndex_Vec(c[0], c[1]);
      else if (to == -1 && c[1].GetKind() == READ)
        at->FillUp_ArrReadIndex_Vec(c[1], c[0]);
    }

    if (!updated)
      updated = searchTerm(c[0], c[1]);

    if (!updated)
      updated = searchTerm(c[1], c[0]);

    output = updated ? ASTTrue : a;
  }
  else if (XOR == k)
  {
    bool updated = searchXOR(a, ASTTrue);
    output = updated ? ASTTrue : a;

    if (updated)
      return output;

// The below block should be subsumed by the searchXOR function which
// generalises it.
// So the below block should never do anything..
#ifndef NDEBUG
    if (a.Degree() != 2)
      return output;

    int to = TermOrder(a[0], a[1]);
    if (0 == to)
    {
      if (a[0].GetKind() == NOT && a[0][0].GetKind() == EQ &&
          a[0][0][0].GetValueWidth() == 1 && a[0][0][1].GetKind() == SYMBOL)
      {
        // (XOR (NOT(= (1 v)))  ... )
        const ASTNode& symbol = a[0][0][1];
        const ASTNode newN = nf->CreateTerm(
            ITE, 1, a[1], a[0][0][0], nf->CreateTerm(BVNOT, 1, a[0][0][0]));

        if (simp->UpdateSolverMap(symbol, newN))
        {
          assert(false);
          output = ASTTrue;
        }
      }
      else if (a[1].GetKind() == NOT && a[1][0].GetKind() == EQ &&
               a[1][0][0].GetValueWidth() == 1 &&
               a[1][0][1].GetKind() == SYMBOL)
      {
        const ASTNode& symbol = a[1][0][1];
        const ASTNode newN = nf->CreateTerm(
            ITE, 1, a[0], a[1][0][0], nf->CreateTerm(BVNOT, 1, a[1][0][0]));

        if (simp->UpdateSolverMap(symbol, newN))
        {
          assert(false);
          output = ASTTrue;
        }
      }
      else if (a[0].GetKind() == EQ && a[0][0].GetValueWidth() == 1 &&
               a[0][1].GetKind() == SYMBOL)
      {
        // XOR ((= 1 v) ... )

        const ASTNode& symbol = a[0][1];
        const ASTNode newN = nf->CreateTerm(
            ITE, 1, a[1], nf->CreateTerm(BVNOT, 1, a[0][0]), a[0][0]);

        if (simp->UpdateSolverMap(symbol, newN))
        {
          assert(false);
          output = ASTTrue;
        }
      }
      else if (a[1].GetKind() == EQ && a[1][0].GetValueWidth() == 1 &&
               a[1][1].GetKind() == SYMBOL)
      {
        const ASTNode& symbol = a[1][1];
        const ASTNode newN = nf->CreateTerm(
            ITE, 1, a[0], nf->CreateTerm(BVNOT, 1, a[1][0]), a[1][0]);

        if (simp->UpdateSolverMap(symbol, newN))
        {
          assert(false);
          output = ASTTrue;
        }
      }
      else
        return output;
    }
    else
    {
      ASTNode symbol, rhs;
      if (to == 1)
      {
        symbol = a[0];
        rhs = a[1];
      }
      else
      {
        symbol = a[1];
        rhs = a[0];
      }

      assert(symbol.GetKind() == SYMBOL);

      if (simp->UpdateSolverMap(symbol, nf->CreateNode(NOT, rhs)))
      {
        assert(false);
        output = ASTTrue;
      }
    }
#endif
  }
  else if (AND == k)
  {
    const ASTVec& c = a.GetChildren();
    ASTVec o;
    o.reserve(c.size());

    for (ASTVec::const_iterator it = c.begin(), itend = c.end(); it != itend;
         it++)
    {
      if (always_true)
        simp->UpdateAlwaysTrueFormSet(*it);
      ASTNode aaa = propagate(*it, at);

      if (ASTTrue != aaa)
      {
        if (ASTFalse == aaa)
          return ASTFalse;
        else
          o.push_back(aaa);
      }
    }
    if (o.size() == 0)
      output = ASTTrue;
    else if (o.size() == 1)
      output = o[0];
    else if (o != c)
      output = nf->CreateNode(AND, o);
    else
      output = a;
  }

  return output;
}
}