DynamicModel.cc

/*
 * Copyright (C) 2003-2009 Dynare Team
 *
 * This file is part of Dynare.
 *
 * Dynare is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
 *
 * Dynare is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with Dynare.  If not, see <http://www.gnu.org/licenses/>.
 */

#include <iostream>
#include <cmath>
#include <cstdlib>
#include <cassert>
#include <cstdio>
#include <cerrno>
#include "DynamicModel.hh"

// For mkdir() and chdir()
#ifdef _WIN32
# include <direct.h>
#else
# include <unistd.h>
# include <sys/stat.h>
# include <sys/types.h>
#endif

DynamicModel::DynamicModel(SymbolTable &symbol_table_arg,
                           NumericalConstants &num_constants_arg) :
    ModelTree(symbol_table_arg, num_constants_arg),
    max_lag(0), max_lead(0),
    max_endo_lag(0), max_endo_lead(0),
    max_exo_lag(0), max_exo_lead(0),
    max_exo_det_lag(0), max_exo_det_lead(0),
    dynJacobianColsNbr(0),
    cutoff(1e-15),
    mfs(0),
    block_triangular(symbol_table_arg, num_constants_arg)
{
}

VariableNode *
DynamicModel::AddVariable(int symb_id, int lag)
{
  return AddVariableInternal(symb_id, lag);
}

void
DynamicModel::compileDerivative(ofstream &code_file, int eq, int symb_id, int lag, map_idx_type &map_idx) const
  {
    //first_derivatives_type::const_iterator it = first_derivatives.find(make_pair(eq, getDerivID(symb_id, lag)));
    first_derivatives_type::const_iterator it = first_derivatives.find(make_pair(eq, getDerivID(symbol_table.getID(eEndogenous, symb_id), lag)));
    if (it != first_derivatives.end())
      (it->second)->compile(code_file, false, temporary_terms, map_idx, true, false);
    else
      /*code_file.write(&FLDZ, sizeof(FLDZ));*/
      {
        FLDZ_ fldz;
        fldz.write(code_file);
      }
  }


void
DynamicModel::compileChainRuleDerivative(ofstream &code_file, int eqr, int varr, int lag, map_idx_type &map_idx) const
{
  map<pair<int, pair<int, int> >, NodeID>::const_iterator it = first_chain_rule_derivatives.find(make_pair(eqr, make_pair(varr, lag)));
  if (it != first_chain_rule_derivatives.end())
    (it->second)->compile(code_file, false, temporary_terms, map_idx, true, false);
  else
    {
      FLDZ_ fldz;
      fldz.write(code_file);
    }
    //code_file.write(&FLDZ, sizeof(FLDZ));
}


void
DynamicModel::BuildIncidenceMatrix()
{
  set<pair<int, int> > endogenous, exogenous;
  for (int eq = 0; eq < (int) equations.size(); eq++)
    {
      BinaryOpNode *eq_node = equations[eq];
      endogenous.clear();
      NodeID Id = eq_node->get_arg1();
      Id->collectEndogenous(endogenous);
      Id = eq_node->get_arg2();
      Id->collectEndogenous(endogenous);
      for (set<pair<int, int> >::iterator it_endogenous=endogenous.begin();it_endogenous!=endogenous.end();it_endogenous++)
        {
          block_triangular.incidencematrix.fill_IM(eq, it_endogenous->first, it_endogenous->second, eEndogenous);
        }
      exogenous.clear();
      Id = eq_node->get_arg1();
      Id->collectExogenous(exogenous);
      Id = eq_node->get_arg2();
      Id->collectExogenous(exogenous);
      for (set<pair<int, int> >::iterator it_exogenous=exogenous.begin();it_exogenous!=exogenous.end();it_exogenous++)
        {
          block_triangular.incidencematrix.fill_IM(eq, it_exogenous->first, it_exogenous->second, eExogenous);
        }
    }
}

void
DynamicModel::computeTemporaryTermsOrdered(Model_Block *ModelBlock)
{
  map<NodeID, pair<int, int> > first_occurence;
  map<NodeID, int> reference_count;
  int i, j, m, eq, var, eqr, varr, lag;
  temporary_terms_type vect;
  ostringstream tmp_output;
  BinaryOpNode *eq_node;
  first_derivatives_type::const_iterator it;
  first_chain_rule_derivatives_type::const_iterator it_chr;
  ostringstream tmp_s;

  temporary_terms.clear();
  map_idx.clear();
  for (j = 0;j < ModelBlock->Size;j++)
    {
      // Compute the temporary terms reordered
      for (i = 0;i < ModelBlock->Block_List[j].Size;i++)
        {
          if (ModelBlock->Block_List[j].Equation_Type[i] == E_EVALUATE_S && i<ModelBlock->Block_List[j].Nb_Recursives && ModelBlock->Block_List[j].Equation_Normalized[i])
              ModelBlock->Block_List[j].Equation_Normalized[i]->computeTemporaryTerms(reference_count, temporary_terms, first_occurence, j, ModelBlock, i, map_idx);
          else
            {
              eq_node = equations[ModelBlock->Block_List[j].Equation[i]];
              eq_node->computeTemporaryTerms(reference_count, temporary_terms, first_occurence, j, ModelBlock, i, map_idx);
            }
        }
      for(i=0; i<(int)ModelBlock->Block_List[j].Chain_Rule_Derivatives->size();i++)
        {
          pair< pair<int, pair<int, int> >, pair<int, int> > it = ModelBlock->Block_List[j].Chain_Rule_Derivatives->at(i);
          lag=it.first.first;
          int eqr=it.second.first;
          int varr=it.second.second;
          it_chr=first_chain_rule_derivatives.find(make_pair(eqr, make_pair( varr, lag)));
          it_chr->second->computeTemporaryTerms(reference_count, temporary_terms, first_occurence, j, ModelBlock, ModelBlock->Block_List[j].Size-1, map_idx);
        }

      for (m=0;m<=ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag;m++)
        {
          lag=m-ModelBlock->Block_List[j].Max_Lag;
          for (i=0;i<ModelBlock->Block_List[j].IM_lead_lag[m].size;i++)
            {
              eq=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_Index[i];
              var=ModelBlock->Block_List[j].IM_lead_lag[m].Var_Index[i];
              it=first_derivatives.find(make_pair(eq,getDerivID(symbol_table.getID(eEndogenous, var), lag)));
              it->second->computeTemporaryTerms(reference_count, temporary_terms, first_occurence, j, ModelBlock, ModelBlock->Block_List[j].Size-1, map_idx);
            }
        }
      /*for(i=0; i<(int)ModelBlock->Block_List[j].Chain_Rule_Derivatives->size();i++)
        {
          pair< pair<int, pair<int, int> >, pair<int, int> > it = ModelBlock->Block_List[j].Chain_Rule_Derivatives->at(i);
          lag=it.first.first;
          eqr=it.second.first;
          varr=it.second.second;
          it_chr=first_chain_rule_derivatives.find(make_pair(eqr, make_pair( varr, lag)));
          it_chr->second->computeTemporaryTerms(reference_count, temporary_terms, first_occurence, j, ModelBlock, ModelBlock->Block_List[j].Size-1, map_idx);
        }*/
      /*for (m=0;m<=ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag;m++)
        {
          lag=m-ModelBlock->Block_List[j].Max_Lag;
          for (i=0;i<ModelBlock->Block_List[j].IM_lead_lag[m].size_exo;i++)
            {
              eq=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_X_Index[i];
              var=ModelBlock->Block_List[j].IM_lead_lag[m].Exogenous_Index[i];
              it=first_derivatives.find(make_pair(eq,getDerivID(symbol_table.getID(eExogenous, var), lag)));
              it->second->computeTemporaryTerms(reference_count, temporary_terms, first_occurence, j, ModelBlock, ModelBlock->Block_List[j].Size-1, map_idx);
            }
        }*/
      //jacobian_max_exo_col=(variable_table.max_exo_lag+variable_table.max_exo_lead+1)*symbol_table.exo_nbr;
      for (m=0;m<=ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag;m++)
        {
          lag=m-ModelBlock->Block_List[j].Max_Lag;
          if (block_triangular.incidencematrix.Model_Max_Lag_Endo - ModelBlock->Block_List[j].Max_Lag +m >=0)
            {
              for (i=0;i<ModelBlock->Block_List[j].IM_lead_lag[m].size_other_endo;i++)
                {
                  eq=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_Index_other_endo[i];
                  var=ModelBlock->Block_List[j].IM_lead_lag[m].Var_Index_other_endo[i];
                  it=first_derivatives.find(make_pair(eq,getDerivID(symbol_table.getID(eEndogenous, var), lag)));
                  it->second->computeTemporaryTerms(reference_count, temporary_terms, first_occurence, j, ModelBlock, ModelBlock->Block_List[j].Size-1, map_idx);
                }
            }
        }
    }
  for (j = 0;j < ModelBlock->Size;j++)
    {
      // Collecte the temporary terms reordered
      for (i = 0;i < ModelBlock->Block_List[j].Size;i++)
        {
          if (ModelBlock->Block_List[j].Equation_Type[i] == E_EVALUATE_S && i<ModelBlock->Block_List[j].Nb_Recursives && ModelBlock->Block_List[j].Equation_Normalized[i])
              ModelBlock->Block_List[j].Equation_Normalized[i]->collectTemporary_terms(temporary_terms, ModelBlock, j);
          else
            {
              eq_node = equations[ModelBlock->Block_List[j].Equation[i]];
              eq_node->collectTemporary_terms(temporary_terms, ModelBlock, j);
            }

          /*eq_node = equations[ModelBlock->Block_List[j].Equation[i]];
          eq_node->collectTemporary_terms(temporary_terms, ModelBlock, j);
          if (ModelBlock->Block_List[j].Equation_Type[i] == E_EVALUATE_S)
            if(ModelBlock->Block_List[j].Equation_Normalized[i])
              ModelBlock->Block_List[j].Equation_Normalized[i]->collectTemporary_terms(temporary_terms, ModelBlock, j);
          for(temporary_terms_type::const_iterator it = ModelBlock->Block_List[j].Temporary_Terms_in_Equation[i]->begin(); it!= ModelBlock->Block_List[j].Temporary_Terms_in_Equation[i]->end(); it++)
            (*it)->collectTemporary_terms(temporary_terms, ModelBlock, j);*/
        }
      for (m=0;m<=ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag;m++)
        {
          lag=m-ModelBlock->Block_List[j].Max_Lag;
          for (i=0;i<ModelBlock->Block_List[j].IM_lead_lag[m].size;i++)
            {
              eq=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_Index[i];
              var=ModelBlock->Block_List[j].IM_lead_lag[m].Var_Index[i];
              it=first_derivatives.find(make_pair(eq,getDerivID(symbol_table.getID(eEndogenous, var), lag)));
              //it=first_derivatives.find(make_pair(eq,variable_table.getID(var, lag)));
              //if(it!=first_derivatives.end())
              it->second->collectTemporary_terms(temporary_terms, ModelBlock, j);
            }
        }
      for(i=0; i<(int)ModelBlock->Block_List[j].Chain_Rule_Derivatives->size();i++)
        {
          pair< pair<int, pair<int, int> >, pair<int, int> > it = ModelBlock->Block_List[j].Chain_Rule_Derivatives->at(i);
          lag=it.first.first;
          eqr=it.second.first;
          varr=it.second.second;
          it_chr=first_chain_rule_derivatives.find(make_pair(eqr, make_pair( varr, lag)));
          it_chr->second->collectTemporary_terms(temporary_terms, ModelBlock, j);
        }
      /*for (m=0;m<=ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag;m++)
        {
          lag=m-ModelBlock->Block_List[j].Max_Lag;
          for (i=0;i<ModelBlock->Block_List[j].IM_lead_lag[m].size_exo;i++)
            {
              eq=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_X_Index[i];
              var=ModelBlock->Block_List[j].IM_lead_lag[m].Exogenous_Index[i];
              it=first_derivatives.find(make_pair(eq,getDerivID(symbol_table.getID(eExogenous, var), lag)));
              //it=first_derivatives.find(make_pair(eq,variable_table.getID(var, lag)));
              it->second->collectTemporary_terms(temporary_terms, ModelBlock, j);
            }
        }*/
      //jacobian_max_exo_col=(variable_table.max_exo_lag+variable_table.max_exo_lead+1)*symbol_table.exo_nbr;
      for (m=0;m<=ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag;m++)
        {
          lag=m-ModelBlock->Block_List[j].Max_Lag;
          if (block_triangular.incidencematrix.Model_Max_Lag_Endo - ModelBlock->Block_List[j].Max_Lag +m >=0)
            {
              for (i=0;i<ModelBlock->Block_List[j].IM_lead_lag[m].size_other_endo;i++)
                {
                  eq=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_Index_other_endo[i];
                  var=ModelBlock->Block_List[j].IM_lead_lag[m].Var_Index_other_endo[i];
                  it=first_derivatives.find(make_pair(eq,getDerivID(symbol_table.getID(eEndogenous, var), lag)));
                  //it=first_derivatives.find(make_pair(eq,variable_table.getID(var, lag)));
                  //if(it!=first_derivatives.end())
                  it->second->collectTemporary_terms(temporary_terms, ModelBlock, j);
                }
            }
        }
    }
  // Add a mapping form node ID to temporary terms order
  j=0;
  for (temporary_terms_type::const_iterator it = temporary_terms.begin();
       it != temporary_terms.end(); it++)
    map_idx[(*it)->idx]=j++;
}

void
DynamicModel::writeModelEquationsOrdered_M( Model_Block *ModelBlock, const string &dynamic_basename) const
  {
    int i,j,k,m;
    string tmp_s, sps;
    ostringstream tmp_output, tmp1_output, global_output;
    NodeID lhs=NULL, rhs=NULL;
    BinaryOpNode *eq_node;
    ostringstream Uf[symbol_table.endo_nbr()];
    map<NodeID, int> reference_count;
    //int prev_Simulation_Type=-1, count_derivates=0;
    int jacobian_max_endo_col;
    ofstream  output;
    //temporary_terms_type::const_iterator it_temp=temporary_terms.begin();
    int nze, nze_exo, nze_other_endo;
    //map<int, NodeID> recursive_variables;
    vector<int> feedback_variables;
    //----------------------------------------------------------------------
    //For each block
    for (j = 0;j < ModelBlock->Size;j++)
      {
        //recursive_variables.clear();
        feedback_variables.clear();
        //For a block composed of a single equation determines wether we have to evaluate or to solve the equation
        nze = nze_exo = nze_other_endo = 0;
        for (m=0;m<=ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag;m++)
          nze+=ModelBlock->Block_List[j].IM_lead_lag[m].size;
        /*for (m=0;m<=ModelBlock->Block_List[j].Max_Lead_Exo+ModelBlock->Block_List[j].Max_Lag_Exo;m++)
          nze_exo+=ModelBlock->Block_List[j].IM_lead_lag[m].size_exo;*/
        for (m=0;m<=ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag;m++)
          {
            k=m-ModelBlock->Block_List[j].Max_Lag;
            if (block_triangular.incidencematrix.Model_Max_Lag_Endo - ModelBlock->Block_List[j].Max_Lag +m >=0)
              nze_other_endo+=ModelBlock->Block_List[j].IM_lead_lag[m].size_other_endo;
          }
        tmp1_output.str("");
        tmp1_output << dynamic_basename << "_" << j+1 << ".m";
        output.open(tmp1_output.str().c_str(), ios::out | ios::binary);
        output << "%\n";
        output << "% " << tmp1_output.str() << " : Computes dynamic model for Dynare\n";
        output << "%\n";
        output << "% Warning : this file is generated automatically by Dynare\n";
        output << "%           from model file (.mod)\n\n";
        output << "%/\n";
        if (ModelBlock->Block_List[j].Simulation_Type==EVALUATE_BACKWARD
            ||ModelBlock->Block_List[j].Simulation_Type==EVALUATE_FORWARD
            /*||ModelBlock->Block_List[j].Simulation_Type==EVALUATE_BACKWARD_R
            ||ModelBlock->Block_List[j].Simulation_Type==EVALUATE_FORWARD_R*/)
          {
            output << "function [y, g1, g2, g3, varargout] = " << dynamic_basename << "_" << j+1 << "(y, x, params, jacobian_eval, y_kmin, periods)\n";
          }
        else if (ModelBlock->Block_List[j].Simulation_Type==SOLVE_FORWARD_COMPLETE
                 ||   ModelBlock->Block_List[j].Simulation_Type==SOLVE_BACKWARD_COMPLETE)
          output << "function [residual, y, g1, g2, g3, varargout] = " << dynamic_basename << "_" << j+1 << "(y, x, params, it_, jacobian_eval)\n";
        else if (ModelBlock->Block_List[j].Simulation_Type==SOLVE_BACKWARD_SIMPLE
                 ||   ModelBlock->Block_List[j].Simulation_Type==SOLVE_FORWARD_SIMPLE)
          output << "function [residual, y, g1, g2, g3, varargout] = " << dynamic_basename << "_" << j+1 << "(y, x, params, it_, jacobian_eval)\n";
        else
          output << "function [residual, y, g1, g2, g3, b, varargout] = " << dynamic_basename << "_" << j+1 << "(y, x, params, periods, jacobian_eval, y_kmin, y_size)\n";
        output << "  % ////////////////////////////////////////////////////////////////////////" << endl
        << "  % //" << string("                     Block ").substr(int(log10(j + 1))) << j + 1 << " " << BlockTriangular::BlockType0(ModelBlock->Block_List[j].Type)
        << "          //" << endl
        << "  % //                     Simulation type "
        << BlockTriangular::BlockSim(ModelBlock->Block_List[j].Simulation_Type) << "  //" << endl
        << "  % ////////////////////////////////////////////////////////////////////////" << endl;
        output << "  global options_;" << endl;
        //The Temporary terms
        //output << "  relax = 1;\n";
        if (ModelBlock->Block_List[j].Simulation_Type==EVALUATE_BACKWARD
            ||ModelBlock->Block_List[j].Simulation_Type==EVALUATE_FORWARD)
          {
            output << "  if(jacobian_eval)\n";
            output << "    g1 = spalloc(" << ModelBlock->Block_List[j].Size-ModelBlock->Block_List[j].Nb_Recursives
            << ", " << (ModelBlock->Block_List[j].Size-ModelBlock->Block_List[j].Nb_Recursives)*(1+ModelBlock->Block_List[j].Max_Lag_Endo+ModelBlock->Block_List[j].Max_Lead_Endo)
            << ", " << nze << ");\n";
            output << "    g1_x=spalloc(" << ModelBlock->Block_List[j].Size << ", " << (ModelBlock->Block_List[j].nb_exo + ModelBlock->Block_List[j].nb_exo_det)*(1+ModelBlock->Block_List[j].Max_Lag_Exo+ModelBlock->Block_List[j].Max_Lead_Exo) << ", " << nze_exo << ");\n";
            output << "    g1_o=spalloc(" << ModelBlock->Block_List[j].Size << ", " << ModelBlock->Block_List[j].nb_other_endo*(1+ModelBlock->Block_List[j].Max_Lag_Other_Endo+ModelBlock->Block_List[j].Max_Lead_Other_Endo) << ", " << nze_other_endo << ");\n";
            output << "  end;\n";
          }
        else
          {
            output << "  if(jacobian_eval)\n";
            output << "    g1 = spalloc(" << ModelBlock->Block_List[j].Size << ", " << ModelBlock->Block_List[j].Size*(1+ModelBlock->Block_List[j].Max_Lag_Endo+ModelBlock->Block_List[j].Max_Lead_Endo) << ", " << nze << ");\n";
            output << "    g1_x=spalloc(" << ModelBlock->Block_List[j].Size << ", " << (ModelBlock->Block_List[j].nb_exo + ModelBlock->Block_List[j].nb_exo_det)*(1+ModelBlock->Block_List[j].Max_Lag_Exo+ModelBlock->Block_List[j].Max_Lead_Exo) << ", " << nze_exo << ");\n";
            output << "    g1_o=spalloc(" << ModelBlock->Block_List[j].Size << ", " << ModelBlock->Block_List[j].nb_other_endo*(1+ModelBlock->Block_List[j].Max_Lag_Other_Endo+ModelBlock->Block_List[j].Max_Lead_Other_Endo) << ", " << nze_other_endo << ");\n";
            output << "  else\n";
            if (ModelBlock->Block_List[j].Simulation_Type==SOLVE_TWO_BOUNDARIES_COMPLETE || ModelBlock->Block_List[j].Simulation_Type==SOLVE_TWO_BOUNDARIES_SIMPLE)
              {
                output << "    g1 = spalloc(" << (ModelBlock->Block_List[j].Size-ModelBlock->Block_List[j].Nb_Recursives) << "*options_.periods, "
                << (ModelBlock->Block_List[j].Size-ModelBlock->Block_List[j].Nb_Recursives) << "*(options_.periods+" << ModelBlock->Block_List[j].Max_Lag+ModelBlock->Block_List[j].Max_Lead+1 << ")"
                << ", " << nze << "*options_.periods);\n";
                /*output << "    g1_tmp_r = spalloc(" << (ModelBlock->Block_List[j].Nb_Recursives)
                << ", " << (ModelBlock->Block_List[j].Size)*(ModelBlock->Block_List[j].Max_Lag+ModelBlock->Block_List[j].Max_Lead+1)
                << ", " << nze << ");\n";
                output << "    g1_tmp_b = spalloc(" << (ModelBlock->Block_List[j].Size-ModelBlock->Block_List[j].Nb_Recursives)
                << ", " << (ModelBlock->Block_List[j].Size)*(ModelBlock->Block_List[j].Max_Lag+ModelBlock->Block_List[j].Max_Lead+1)
                << ", " << nze << ");\n";*/
              }
            else
              {
                output << "    g1 = spalloc(" << ModelBlock->Block_List[j].Size-ModelBlock->Block_List[j].Nb_Recursives
                << ", " << ModelBlock->Block_List[j].Size-ModelBlock->Block_List[j].Nb_Recursives << ", " << nze << ");\n";
                output << "    g1_tmp_r = spalloc(" << ModelBlock->Block_List[j].Nb_Recursives
                << ", " << ModelBlock->Block_List[j].Size << ", " << nze << ");\n";
                output << "    g1_tmp_b = spalloc(" << ModelBlock->Block_List[j].Size-ModelBlock->Block_List[j].Nb_Recursives
                << ", " << ModelBlock->Block_List[j].Size << ", " << nze << ");\n";
              }
            output << "  end;\n";
          }

        output << "  g2=0;g3=0;\n";
        if (ModelBlock->Block_List[j].Temporary_InUse->size())
          {
            tmp_output.str("");
            for (temporary_terms_inuse_type::const_iterator it = ModelBlock->Block_List[j].Temporary_InUse->begin();
                 it != ModelBlock->Block_List[j].Temporary_InUse->end(); it++)
              tmp_output << " T" << *it;
            output << "  global" << tmp_output.str() << ";\n";
          }
        if (ModelBlock->Block_List[j].Simulation_Type!=EVALUATE_BACKWARD && ModelBlock->Block_List[j].Simulation_Type!=EVALUATE_FORWARD)
          output << "  residual=zeros(" << ModelBlock->Block_List[j].Size-ModelBlock->Block_List[j].Nb_Recursives << ",1);\n";
        if (ModelBlock->Block_List[j].Simulation_Type==EVALUATE_BACKWARD)
          output << "  for it_ = (y_kmin+periods):y_kmin+1\n";
        if (ModelBlock->Block_List[j].Simulation_Type==EVALUATE_FORWARD)
          output << "  for it_ = y_kmin+1:(y_kmin+periods)\n";

        if (ModelBlock->Block_List[j].Simulation_Type==SOLVE_TWO_BOUNDARIES_COMPLETE || ModelBlock->Block_List[j].Simulation_Type==SOLVE_TWO_BOUNDARIES_SIMPLE)
          {
            output << "  b = zeros(periods*y_size,1);\n";
            output << "  for it_ = y_kmin+1:(periods+y_kmin)\n";
            output << "    Per_y_=it_*y_size;\n";
            output << "    Per_J_=(it_-y_kmin-1)*y_size;\n";
            output << "    Per_K_=(it_-1)*y_size;\n";
            sps="  ";
          }
        else
          if (ModelBlock->Block_List[j].Simulation_Type==EVALUATE_BACKWARD || ModelBlock->Block_List[j].Simulation_Type==EVALUATE_FORWARD )
            sps = "  ";
          else
            sps="";
        // The equations
        for (i = 0;i < ModelBlock->Block_List[j].Size;i++)
          {
            temporary_terms_type tt2;
            tt2.clear();
            if (ModelBlock->Block_List[j].Temporary_Terms_in_Equation[i]->size())
              output << "  " << sps << "% //Temporary variables" << endl;
            for (temporary_terms_type::const_iterator it = ModelBlock->Block_List[j].Temporary_Terms_in_Equation[i]->begin();
                 it != ModelBlock->Block_List[j].Temporary_Terms_in_Equation[i]->end(); it++)
              {
                output << "  " <<  sps;
                (*it)->writeOutput(output, oMatlabDynamicModelSparse, temporary_terms);
                output << " = ";
                (*it)->writeOutput(output, oMatlabDynamicModelSparse, tt2);
                // Insert current node into tt2
                tt2.insert(*it);
                output << ";" << endl;
              }
            string sModel = symbol_table.getName(symbol_table.getID(eEndogenous, ModelBlock->Block_List[j].Variable[i])) ;
            eq_node = equations[ModelBlock->Block_List[j].Equation[i]];
            lhs = eq_node->get_arg1();
            rhs = eq_node->get_arg2();
            tmp_output.str("");
            /*if((ModelBlock->Block_List[j].Simulation_Type!=EVALUATE_BACKWARD or ModelBlock->Block_List[j].Simulation_Type!=EVALUATE_FORWARD) and (i<ModelBlock->Block_List[j].Nb_Recursives))
              lhs->writeOutput(tmp_output, oMatlabDynamicModelSparse, temporary_terms);
            else*/
						lhs->writeOutput(tmp_output, oMatlabDynamicModelSparse, temporary_terms);
            switch (ModelBlock->Block_List[j].Simulation_Type)
              {
              case EVALUATE_BACKWARD:
              case EVALUATE_FORWARD:
evaluation:     if (ModelBlock->Block_List[j].Simulation_Type==SOLVE_TWO_BOUNDARIES_COMPLETE || ModelBlock->Block_List[j].Simulation_Type==SOLVE_TWO_BOUNDARIES_SIMPLE)
                  output << "    % equation " << ModelBlock->Block_List[j].Equation[i]+1 << " variable : " << sModel
                  << " (" << ModelBlock->Block_List[j].Variable[i]+1 << ") " << block_triangular.c_Equation_Type(ModelBlock->Block_List[j].Equation_Type[i]) << endl;
                output << "    ";
                if (ModelBlock->Block_List[j].Equation_Type[i] == E_EVALUATE)
                  {
                    output << tmp_output.str();
                    output << " = ";
                    /*if(!(ModelBlock->Block_List[j].Simulation_Type==EVALUATE_BACKWARD or ModelBlock->Block_List[j].Simulation_Type==EVALUATE_FORWARD))
                      {
                        lhs->writeOutput(output, oMatlabDynamicModelSparse, temporary_terms);
                        output << "-relax*(";
                        lhs->writeOutput(output, oMatlabDynamicModelSparse, temporary_terms);
                        output << "-(";
                        rhs->writeOutput(output, oMatlabDynamicModelSparse, temporary_terms);
                        output << "))";
                      }
                    else*/
                    rhs->writeOutput(output, oMatlabDynamicModelSparse, temporary_terms);
                  }
                else if (ModelBlock->Block_List[j].Equation_Type[i] == E_EVALUATE_S)
                  {
                    output << "%" << tmp_output.str();
                    output << " = ";
                    if (ModelBlock->Block_List[j].Equation_Normalized[i])
                      {
                        rhs->writeOutput(output, oMatlabDynamicModelSparse, temporary_terms);
                        output << "\n    ";
                        tmp_output.str("");
                        eq_node = (BinaryOpNode *)ModelBlock->Block_List[j].Equation_Normalized[i];
                        lhs = eq_node->get_arg1();
                        rhs = eq_node->get_arg2();
                        lhs->writeOutput(output, oMatlabDynamicModelSparse, temporary_terms);
                        output << " = ";
                        /*if(!(ModelBlock->Block_List[j].Simulation_Type==EVALUATE_BACKWARD or ModelBlock->Block_List[j].Simulation_Type==EVALUATE_FORWARD))
                          {
                            lhs->writeOutput(output, oMatlabDynamicModelSparse, temporary_terms);
                            output << "-relax*(";
                            lhs->writeOutput(output, oMatlabDynamicModelSparse, temporary_terms);
                            output << "-(";
                            rhs->writeOutput(output, oMatlabDynamicModelSparse, temporary_terms);
                            output << "))";
                          }
                        else*/
                          rhs->writeOutput(output, oMatlabDynamicModelSparse, temporary_terms);
                      }
                  }
                else
                  {
                    cerr << "Type missmatch for equation " << ModelBlock->Block_List[j].Equation[i]+1  << "\n";
                    exit(EXIT_FAILURE);
                  }
                output << ";\n";
                break;
              case SOLVE_BACKWARD_SIMPLE:
              case SOLVE_FORWARD_SIMPLE:
              case SOLVE_BACKWARD_COMPLETE:
              case SOLVE_FORWARD_COMPLETE:
                if (i<ModelBlock->Block_List[j].Nb_Recursives)
                  {
                    /*if (ModelBlock->Block_List[j].Equation_Type[i] == E_EVALUATE_S)
                      recursive_variables[getDerivID(symbol_table.getID(eEndogenous, ModelBlock->Block_List[j].Variable[i]), 0)] = ModelBlock->Block_List[j].Equation_Normalized[i];
                    else
                      recursive_variables[getDerivID(symbol_table.getID(eEndogenous, ModelBlock->Block_List[j].Variable[i]), 0)] = equations[ModelBlock->Block_List[j].Equation[i]];*/
                    goto evaluation;
                  }
                feedback_variables.push_back(ModelBlock->Block_List[j].Variable[i]);
                output << "  % equation " << ModelBlock->Block_List[j].Equation[i]+1 << " variable : " << sModel
                << " (" << ModelBlock->Block_List[j].Variable[i]+1 << ") " << block_triangular.c_Equation_Type(ModelBlock->Block_List[j].Equation_Type[i]) << endl;
                output << "  " << "residual(" << i+1-ModelBlock->Block_List[j].Nb_Recursives << ") = (";
                goto end;
              case SOLVE_TWO_BOUNDARIES_COMPLETE:
              case SOLVE_TWO_BOUNDARIES_SIMPLE:
                if (i<ModelBlock->Block_List[j].Nb_Recursives)
                  {
                    /*if (ModelBlock->Block_List[j].Equation_Type[i] == E_EVALUATE_S)
                      recursive_variables[getDerivID(symbol_table.getID(eEndogenous, ModelBlock->Block_List[j].Variable[i]), 0)] = ModelBlock->Block_List[j].Equation_Normalized[i];
                    else
                      recursive_variables[getDerivID(symbol_table.getID(eEndogenous, ModelBlock->Block_List[j].Variable[i]), 0)] = equations[ModelBlock->Block_List[j].Equation[i]];*/
                    goto evaluation;
                  }
                feedback_variables.push_back(ModelBlock->Block_List[j].Variable[i]);
                output << "    % equation " << ModelBlock->Block_List[j].Equation[i]+1 << " variable : " << sModel
                << " (" << ModelBlock->Block_List[j].Variable[i]+1 << ") " << block_triangular.c_Equation_Type(ModelBlock->Block_List[j].Equation_Type[i]) << endl;
                Uf[ModelBlock->Block_List[j].Equation[i]] << "    b(" << i+1-ModelBlock->Block_List[j].Nb_Recursives << "+Per_J_) = -residual(" << i+1-ModelBlock->Block_List[j].Nb_Recursives << ", it_)";
                output << "    residual(" << i+1-ModelBlock->Block_List[j].Nb_Recursives << ", it_) = (";
                goto end;
              default:
end:
                output << tmp_output.str();
                output << ") - (";
                rhs->writeOutput(output, oMatlabDynamicModelSparse, temporary_terms);
                output << ");\n";
#ifdef CONDITION
                if (ModelBlock->Block_List[j].Simulation_Type==SOLVE_TWO_BOUNDARIES_COMPLETE || ModelBlock->Block_List[j].Simulation_Type==SOLVE_TWO_BOUNDARIES_SIMPLE)
                  output << "  condition(" << i+1 << ")=0;\n";
#endif
              }
          }
        // The Jacobian if we have to solve the block
        if (ModelBlock->Block_List[j].Simulation_Type==SOLVE_TWO_BOUNDARIES_SIMPLE
            ||  ModelBlock->Block_List[j].Simulation_Type==SOLVE_TWO_BOUNDARIES_COMPLETE)
          output << "  " << sps << "% Jacobian  " << endl;
        else
          if (ModelBlock->Block_List[j].Simulation_Type==SOLVE_BACKWARD_SIMPLE || ModelBlock->Block_List[j].Simulation_Type==SOLVE_FORWARD_SIMPLE ||
              ModelBlock->Block_List[j].Simulation_Type==SOLVE_BACKWARD_COMPLETE || ModelBlock->Block_List[j].Simulation_Type==SOLVE_FORWARD_COMPLETE)
            output << "  % Jacobian  " << endl << "  if jacobian_eval" << endl;
          else
            output << "    % Jacobian  " << endl << "    if jacobian_eval" << endl;
        switch (ModelBlock->Block_List[j].Simulation_Type)
          {
          case EVALUATE_BACKWARD:
          case EVALUATE_FORWARD:
            for (m=0;m<ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag+1;m++)
              {
                k=m-ModelBlock->Block_List[j].Max_Lag;
                for (i=0;i<ModelBlock->Block_List[j].IM_lead_lag[m].size;i++)
                  {
                    int eq=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_Index[i];
                    int var=ModelBlock->Block_List[j].IM_lead_lag[m].Var_Index[i];
                    int eqr=ModelBlock->Block_List[j].IM_lead_lag[m].Equ[i];
                    int varr=ModelBlock->Block_List[j].IM_lead_lag[m].Var[i];
                    output << "      g1(" << eqr+1 << ", " << /*varr+1+(m+variable_table.max_lag-ModelBlock->Block_List[j].Max_Lag)*symbol_table.endo_nbr*/
                    varr+1+m*ModelBlock->Block_List[j].Size << ") = ";
                    writeDerivative(output, eq, symbol_table.getID(eEndogenous, var), k, oMatlabDynamicModelSparse, temporary_terms);
                    output << "; % variable=" << symbol_table.getName(symbol_table.getID(eEndogenous, var))
                    << "(" << k//variable_table.getLag(variable_table.getSymbolID(ModelBlock->Block_List[j].Variable[0]))
                    << ") " << var+1
                    << ", equation=" << eq+1 << endl;
                  }
              }
            //jacobian_max_endo_col=(variable_table.max_endo_lag+variable_table.max_endo_lead+1)*symbol_table.endo_nbr;
            /*for (m=0;m<=ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag;m++)
              {
                k=m-ModelBlock->Block_List[j].Max_Lag;
                for (i=0;i<ModelBlock->Block_List[j].IM_lead_lag[m].size_exo;i++)
                  {
                    int eq=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_X_Index[i];
                    int var=ModelBlock->Block_List[j].IM_lead_lag[m].Exogenous_Index[i];
                    int eqr=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_X[i];
                    int varr=ModelBlock->Block_List[j].IM_lead_lag[m].Exogenous[i];
                    output << "      g1_x(" << eqr+1 << ", "
                           << varr+1+(m+max_exo_lag-ModelBlock->Block_List[j].Max_Lag)*symbol_table.exo_nbr() << ") = ";
                    writeDerivative(output, eq, symbol_table.getID(eExogenous, var), k, oMatlabDynamicModelSparse, temporary_terms);
                    output << "; % variable=" << symbol_table.getName(var)
                           << "(" << k << ") " << var+1
                           << ", equation=" << eq+1 << endl;
                  }
              }*/
            for (m=0;m<=ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag;m++)
              {
                k=m-ModelBlock->Block_List[j].Max_Lag;
                if (block_triangular.incidencematrix.Model_Max_Lag_Endo - ModelBlock->Block_List[j].Max_Lag +m >=0)
                  {
                    for (i=0;i<ModelBlock->Block_List[j].IM_lead_lag[m].size_other_endo;i++)
                      {
                        int eq=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_Index_other_endo[i];
                        int var=ModelBlock->Block_List[j].IM_lead_lag[m].Var_Index_other_endo[i];
                        int eqr=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_other_endo[i];
                        int varr=ModelBlock->Block_List[j].IM_lead_lag[m].Var_other_endo[i];
                        output << "      g1_o(" << eqr+1 << ", "
                        << varr+1+(m+max_endo_lag-ModelBlock->Block_List[j].Max_Lag)*symbol_table.endo_nbr() << ") = ";
                        writeDerivative(output, eq, symbol_table.getID(eEndogenous, var), k, oMatlabDynamicModelSparse, temporary_terms);
                        output << "; % variable=" << symbol_table.getName(symbol_table.getID(eEndogenous, var))
                        << "(" << k << ") " << var+1
                        << ", equation=" << eq+1 << endl;
                      }
                  }
              }
            output << "      varargout{1}=g1_x;\n";
            output << "      varargout{2}=g1_o;\n";
            output << "    end;" << endl;
            //output << "    ya = y;\n";
            output << "  end;" << endl;
            break;
          case SOLVE_BACKWARD_SIMPLE:
          case SOLVE_FORWARD_SIMPLE:
          case SOLVE_BACKWARD_COMPLETE:
          case SOLVE_FORWARD_COMPLETE:
            for (m=0;m<ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag+1;m++)
              {
                k=m-ModelBlock->Block_List[j].Max_Lag;
                for (i=0;i<ModelBlock->Block_List[j].IM_lead_lag[m].size;i++)
                  {
                    int eqr=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_Index[i];
                    int varr=ModelBlock->Block_List[j].IM_lead_lag[m].Var_Index[i];
                    int eq=ModelBlock->Block_List[j].IM_lead_lag[m].Equ[i];
                    int var=ModelBlock->Block_List[j].IM_lead_lag[m].Var[i];
                    output << "    g1(" << eq+1 << ", "
                    << var+1 + m*(ModelBlock->Block_List[j].Size) << ") = ";
                    writeDerivative(output, eqr, symbol_table.getID(eEndogenous, varr), k, oMatlabDynamicModelSparse, temporary_terms);
                    output << "; % variable=" << symbol_table.getName(symbol_table.getID(eEndogenous, varr))
                    << "(" << k << ") " << varr+1
                    << ", equation=" << eqr+1 << endl;
                  }
              }
            /*for (m=0;m<=ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag;m++)
              {
                k=m-ModelBlock->Block_List[j].Max_Lag;
                for (i=0;i<ModelBlock->Block_List[j].IM_lead_lag[m].size_exo;i++)
                  {
                    int eq=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_X_Index[i];
                    int var=ModelBlock->Block_List[j].IM_lead_lag[m].Exogenous_Index[i];
                    int eqr=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_X[i];
                    int varr=ModelBlock->Block_List[j].IM_lead_lag[m].Exogenous[i];
                    output << "    g1_x(" << eqr+1 << ", " << varr+1+(m+max_exo_lag-ModelBlock->Block_List[j].Max_Lag)*ModelBlock->Block_List[j].nb_exo << ") = ";
                    writeDerivative(output, eq, symbol_table.getID(eExogenous, var), k, oMatlabDynamicModelSparse, temporary_terms);
                    output << "; % variable=" << symbol_table.getName(var)
                           << "(" << k << ") " << var+1
                           << ", equation=" << eq+1 << endl;
                  }
              }*/
            for (m=0;m<=ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag;m++)
              {
                k=m-ModelBlock->Block_List[j].Max_Lag;
                if (block_triangular.incidencematrix.Model_Max_Lag_Endo - ModelBlock->Block_List[j].Max_Lag +m >=0)
                  {
                    for (i=0;i<ModelBlock->Block_List[j].IM_lead_lag[m].size_other_endo;i++)
                      {
                        int eq=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_Index_other_endo[i];
                        int var=ModelBlock->Block_List[j].IM_lead_lag[m].Var_Index_other_endo[i];
                        int eqr=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_other_endo[i];
                        int varr=ModelBlock->Block_List[j].IM_lead_lag[m].Var_other_endo[i];
                        output << "    g1_o(" << eqr+1/*-ModelBlock->Block_List[j].Nb_Recursives*/ << ", "
                        << varr+1+(m+max_endo_lag-ModelBlock->Block_List[j].Max_Lag)*symbol_table.endo_nbr() << ") = ";
                        writeDerivative(output, eq, symbol_table.getID(eEndogenous, var), k, oMatlabDynamicModelSparse, temporary_terms);
                        output << "; % variable=" << symbol_table.getName(symbol_table.getID(eEndogenous, var))
                        << "(" << k << ") " << var+1
                        << ", equation=" << eq+1 << endl;
                      }
                  }
              }
            output << "    varargout{1}=g1_x;\n";
            output << "    varargout{2}=g1_o;\n";
            output << "  else" << endl;

            for(i=0; i<(int)ModelBlock->Block_List[j].Chain_Rule_Derivatives->size();i++)
              {
                pair< pair<int, pair<int, int> >, pair<int, int> > it = ModelBlock->Block_List[j].Chain_Rule_Derivatives->at(i);
                k=it.first.first;
                int eq=it.first.second.first;
                int var=it.first.second.second;
                int eqr=it.second.first;
                int varr=it.second.second;
                output << "    g1(" << eq+1-ModelBlock->Block_List[j].Nb_Recursives << ", "
                       << var+1-ModelBlock->Block_List[j].Nb_Recursives  << ") = ";
                writeChainRuleDerivative(output, eqr, varr, k, oMatlabDynamicModelSparse, temporary_terms);
                output << "; %2 variable=" << symbol_table.getName(symbol_table.getID(eEndogenous, varr))
                       << "(" << k << ") " << varr+1 << ", equation=" << eqr+1 << endl;
              }
            output << "  end;\n";
            break;
          case SOLVE_TWO_BOUNDARIES_SIMPLE:
          case SOLVE_TWO_BOUNDARIES_COMPLETE:
            output << "    if ~jacobian_eval" << endl;
            for(i=0; i<(int)ModelBlock->Block_List[j].Chain_Rule_Derivatives->size();i++)
              {
                pair< pair<int, pair<int, int> >, pair<int, int> > it = ModelBlock->Block_List[j].Chain_Rule_Derivatives->at(i);
                k=it.first.first;
                int eq=it.first.second.first;
                int var=it.first.second.second;
                int eqr=it.second.first;
                int varr=it.second.second;
                ostringstream tmp_output;
                if(eq>=ModelBlock->Block_List[j].Nb_Recursives and var>=ModelBlock->Block_List[j].Nb_Recursives)
                  {
                    if (k==0)
                      Uf[ModelBlock->Block_List[j].Equation[eq]] << "+g1(" << eq+1-ModelBlock->Block_List[j].Nb_Recursives
                        << "+Per_J_, " << var+1-ModelBlock->Block_List[j].Nb_Recursives
                        << "+Per_K_)*y(it_, " << varr+1 << ")";
                    else if (k==1)
                      Uf[ModelBlock->Block_List[j].Equation[eq]] << "+g1(" << eq+1-ModelBlock->Block_List[j].Nb_Recursives
                        << "+Per_J_, " << var+1-ModelBlock->Block_List[j].Nb_Recursives
                        << "+Per_y_)*y(it_+1, " << varr+1 << ")";
                    else if (k>0)
                      Uf[ModelBlock->Block_List[j].Equation[eq]] << "+g1(" << eq+1-ModelBlock->Block_List[j].Nb_Recursives
                        << "+Per_J_, " << var+1-ModelBlock->Block_List[j].Nb_Recursives
                        << "+y_size*(it_+" << k-1 << "))*y(it_+" << k << ", " << varr+1 << ")";
                    else if (k<0)
                      Uf[ModelBlock->Block_List[j].Equation[eq]] << "+g1(" << eq+1-ModelBlock->Block_List[j].Nb_Recursives
                        << "+Per_J_, " << var+1-ModelBlock->Block_List[j].Nb_Recursives
                        << "+y_size*(it_" << k-1 << "))*y(it_" << k << ", " << varr+1 << ")";
                    if (k==0)
                      tmp_output << "     g1(" << eq+1-ModelBlock->Block_List[j].Nb_Recursives << "+Per_J_, "
                        << var+1-ModelBlock->Block_List[j].Nb_Recursives << "+Per_K_) = ";
                    else if (k==1)
                      tmp_output << "     g1(" << eq+1-ModelBlock->Block_List[j].Nb_Recursives << "+Per_J_, "
                        << var+1-ModelBlock->Block_List[j].Nb_Recursives << "+Per_y_) = ";
                    else if (k>0)
                      tmp_output << "     g1(" << eq+1-ModelBlock->Block_List[j].Nb_Recursives << "+Per_J_, "
                        << var+1-ModelBlock->Block_List[j].Nb_Recursives << "+y_size*(it_+" << k-1 << ")) = ";
                    else if (k<0)
                      tmp_output << "     g1(" << eq+1-ModelBlock->Block_List[j].Nb_Recursives << "+Per_J_, "
                        << var+1-ModelBlock->Block_List[j].Nb_Recursives << "+y_size*(it_" << k-1 << ")) = ";
                    output << " " << tmp_output.str();

                    writeChainRuleDerivative(output, eqr, varr, k, oMatlabDynamicModelSparse, temporary_terms);

                    output << ";";
                    output << " %2 variable=" << symbol_table.getName(symbol_table.getID(eEndogenous, varr))
                      << "(" << k << ") " << varr+1
                      << ", equation=" << eqr+1 << " (" << eq+1 << ")" << endl;
                  }
#ifdef CONDITION
                output << "  if (fabs(condition[" << eqr << "])<fabs(u[" << u << "+Per_u_]))\n";
                output << "    condition(" << eqr << ")=u(" << u << "+Per_u_);\n";
#endif
                  //}
              }
            for (i = 0;i < ModelBlock->Block_List[j].Size;i++)
              {
                if (i>=ModelBlock->Block_List[j].Nb_Recursives)
                  output << "  " << Uf[ModelBlock->Block_List[j].Equation[i]].str() << ";\n";
#ifdef CONDITION
                output << "  if (fabs(condition(" << i+1 << "))<fabs(u(" << i << "+Per_u_)))\n";
                output << "    condition(" << i+1 << ")=u(" << i+1 << "+Per_u_);\n";
#endif
              }
#ifdef CONDITION
            for (m=0;m<=ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag;m++)
              {
                k=m-ModelBlock->Block_List[j].Max_Lag;
                for (i=0;i<ModelBlock->Block_List[j].IM_lead_lag[m].size;i++)
                  {
                    int eq=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_Index[i];
                    int var=ModelBlock->Block_List[j].IM_lead_lag[m].Var_Index[i];
                    int u=ModelBlock->Block_List[j].IM_lead_lag[m].u[i];
                    int eqr=ModelBlock->Block_List[j].IM_lead_lag[m].Equ[i];
                    output << "  u(" << u+1 << "+Per_u_) = u(" << u+1 << "+Per_u_) / condition(" << eqr+1 << ");\n";
                  }
              }
            for (i = 0;i < ModelBlock->Block_List[j].Size;i++)
              output << "  u(" << i+1 << "+Per_u_) = u(" << i+1 << "+Per_u_) / condition(" << i+1 << ");\n";
#endif

            output << "    else" << endl;
            for (m=0;m<=ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag;m++)
              {
                k=m-ModelBlock->Block_List[j].Max_Lag;
                for (i=0;i<ModelBlock->Block_List[j].IM_lead_lag[m].size;i++)
                  {
                    int eq=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_Index[i];
                    int var=ModelBlock->Block_List[j].IM_lead_lag[m].Var_Index[i];
                    int eqr=ModelBlock->Block_List[j].IM_lead_lag[m].Equ[i];
                    int varr=ModelBlock->Block_List[j].IM_lead_lag[m].Var[i];
                    output << "      g1(" << eqr+1 << ", " << varr+1+(m-ModelBlock->Block_List[j].Max_Lag+ModelBlock->Block_List[j].Max_Lag_Endo)*ModelBlock->Block_List[j].Size << ") = ";
                    writeDerivative(output, eq, symbol_table.getID(eEndogenous, var), k, oMatlabDynamicModelSparse, temporary_terms);
                    output << "; % variable=" << symbol_table.getName(symbol_table.getID(eEndogenous, var))
                    << "(" << k << ") " << var+1
                    << ", equation=" << eq+1 << endl;
                  }
              }
            jacobian_max_endo_col=(ModelBlock->Block_List[j].Max_Lead_Endo+ModelBlock->Block_List[j].Max_Lag_Endo+1)*ModelBlock->Block_List[j].Size;
            /*for (m=0;m<=ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag;m++)
              {
                k=m-ModelBlock->Block_List[j].Max_Lag;
                for (i=0;i<ModelBlock->Block_List[j].IM_lead_lag[m].size_exo;i++)
                  {
                    int eq=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_X_Index[i];
                    int eqr=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_X[i];
                    int varr=ModelBlock->Block_List[j].IM_lead_lag[m].Exogenous[i];
                    int var=ModelBlock->Block_List[j].IM_lead_lag[m].Exogenous_Index[i];
                    output << "      g1_x(" << eqr+1 << ", "
                           << jacobian_max_endo_col+(m-(ModelBlock->Block_List[j].Max_Lag-ModelBlock->Block_List[j].Max_Lag_Exo))*ModelBlock->Block_List[j].nb_exo+varr+1 << ") = ";
                    writeDerivative(output, eq, symbol_table.getID(eExogenous, var), k, oMatlabDynamicModelSparse, temporary_terms);
                    output << "; % variable (exogenous)=" << symbol_table.getName(var)
                           << "(" << k << ") " << var+1 << " " << varr+1
                           << ", equation=" << eq+1 << endl;
                  }
              }*/
            for (m=0;m<=ModelBlock->Block_List[j].Max_Lead+ModelBlock->Block_List[j].Max_Lag;m++)
              {
                k=m-ModelBlock->Block_List[j].Max_Lag;
                if (block_triangular.incidencematrix.Model_Max_Lag_Endo - ModelBlock->Block_List[j].Max_Lag +m >=0)
                  {
                    for (i=0;i<ModelBlock->Block_List[j].IM_lead_lag[m].size_other_endo;i++)
                      {
                        int eq=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_Index_other_endo[i];
                        int var=ModelBlock->Block_List[j].IM_lead_lag[m].Var_Index_other_endo[i];
                        int eqr=ModelBlock->Block_List[j].IM_lead_lag[m].Equ_other_endo[i];
                        int varr=ModelBlock->Block_List[j].IM_lead_lag[m].Var_other_endo[i];
                        output << "      g1_o(" << eqr+1 << ", "
                        << varr+1+(m+max_endo_lag-ModelBlock->Block_List[j].Max_Lag)*symbol_table.endo_nbr() << ") = ";
                        writeDerivative(output, eq, symbol_table.getID(eEndogenous, var), k, oMatlabDynamicModelSparse, temporary_terms);
                        output << "; % variable=" << symbol_table.getName(symbol_table.getID(eEndogenous, var))
                        << "(" << k << ") " << var+1
                        << ", equation=" << eq+1 << endl;
                      }
                  }
              }
            output << "      varargout{1}=g1_x;\n";
            output << "      varargout{2}=g1_o;\n";
            output << "    end;\n";
            //output << "    ya = y;\n";
            output << "  end;\n";
            break;
          default:
            break;
          }
        output.close();
      }
  }

void
DynamicModel::writeModelEquationsCodeOrdered(const string file_name, const Model_Block *ModelBlock, const string bin_basename, map_idx_type map_idx) const
  {
    struct Uff_l
      {
        int u, var, lag;
        Uff_l *pNext;
      };

    struct Uff
      {
        Uff_l *Ufl, *Ufl_First;
      };

    int i,j,k,v;
    string tmp_s;
    ostringstream tmp_output;
    ofstream code_file;
    NodeID lhs=NULL, rhs=NULL;
    BinaryOpNode *eq_node;
    Uff Uf[symbol_table.endo_nbr()];
    map<NodeID, int> reference_count;
    vector<int> feedback_variables;
    bool file_open=false;
    string main_name=file_name;
    main_name+=".cod";
    code_file.open(main_name.c_str(), ios::out | ios::binary | ios::ate );
    if (!code_file.is_open())
      {
        cout << "Error : Can't open file \"" << main_name << "\" for writing\n";
        exit(EXIT_FAILURE);
      }
    //Temporary variables declaration
    /*code_file.write(&FDIMT, sizeof(FDIMT));
    k=temporary_terms.size();
    code_file.write(reinterpret_cast<char *>(&k),sizeof(k));*/
    FDIMT_ fdimt(temporary_terms.size());
    fdimt.write(code_file);

    for (j = 0; j < ModelBlock->Size ;j++)
      {
        feedback_variables.clear();
        if (j>0)
          {
            FENDBLOCK_ fendblock;
            fendblock.write(code_file);
            //code_file.write(&FENDBLOCK, sizeof(FENDBLOCK));
          }
        int count_u;
        int u_count_int=0;
        if (ModelBlock->Block_List[j].Simulation_Type==SOLVE_TWO_BOUNDARIES_SIMPLE || ModelBlock->Block_List[j].Simulation_Type==SOLVE_TWO_BOUNDARIES_COMPLETE ||
            ModelBlock->Block_List[j].Simulation_Type==SOLVE_BACKWARD_COMPLETE || ModelBlock->Block_List[j].Simulation_Type==SOLVE_FORWARD_COMPLETE)
          {
            //cout << "ModelBlock->Block_List[j].Nb_Recursives = " << ModelBlock->Block_List[j].Nb_Recursives << "\n";
            Write_Inf_To_Bin_File(file_name, bin_basename, j, u_count_int,file_open,
                                  ModelBlock->Block_List[j].Simulation_Type==SOLVE_TWO_BOUNDARIES_COMPLETE || ModelBlock->Block_List[j].Simulation_Type==SOLVE_TWO_BOUNDARIES_SIMPLE);
            //cout << "u_count_int=" << u_count_int << "\n";


            /*code_file.write(reinterpret_cast<char *>(&ModelBlock->Block_List[j].is_linear),sizeof(ModelBlock->Block_List[j].is_linear));
            //v=block_triangular.ModelBlock->Block_List[j].IM_lead_lag[block_triangular.ModelBlock->Block_List[j].Max_Lag + block_triangular.ModelBlock->Block_List[j].Max_Lead].u_finish + 1;
            v=symbol_table.endo_nbr();
            code_file.write(reinterpret_cast<char *>(&v),sizeof(v));
            v=block_triangular.ModelBlock->Block_List[j].Max_Lag;
            code_file.write(reinterpret_cast<char *>(&v),sizeof(v));
            v=block_triangular.ModelBlock->Block_List[j].Max_Lead;
            code_file.write(reinterpret_cast<char *>(&v),sizeof(v));

            v=u_count_int;
            code_file.write(reinterpret_cast<char *>(&v),sizeof(v));*/
            file_open=true;
          }
        FBEGINBLOCK_ fbeginblock(ModelBlock->Block_List[j].Size - ModelBlock->Block_List[j].Nb_Recursives,
                                 ModelBlock->Block_List[j].Simulation_Type,
                                 ModelBlock->Block_List[j].Variable,
                                 ModelBlock->Block_List[j].Equation,
                                 ModelBlock->Block_List[j].Own_Derivative,
                                 ModelBlock->Block_List[j].is_linear,
                                 symbol_table.endo_nbr(),
                                 ModelBlock->Block_List[j].Max_Lag,
                                 ModelBlock->Block_List[j].Max_Lead,
                                 u_count_int
                                 );
        fbeginblock.write(code_file);
        /*code_file.write(&FBEGINBLOCK, sizeof(FBEGINBLOCK));
        v=ModelBlock->Block_List[j].Size - ModelBlock->Block_List[j].Nb_Recursives;
        //cout << "v (Size) = " << v  << "\n";
        code_file.write(reinterpret_cast<char *>(&v),sizeof(v));
        v=ModelBlock->Block_List[j].Simulation_Type;
        code_file.write(reinterpret_cast<char *>(&v),sizeof(v));

        for (i=ModelBlock->Block_List[j].Nb_Recursives; i < ModelBlock->Block_List[j].Size;i++)
          {
            code_file.write(reinterpret_cast<char *>(&ModelBlock->Block_List[j].Variable[i]),sizeof(ModelBlock->Block_List[j].Variable[i]));
            code_file.write(reinterpret_cast<char *>(&ModelBlock->Block_List[j].Equation[i]),sizeof(ModelBlock->Block_List[j].Equation[i]));
            code_file.write(reinterpret_cast<char *>(&ModelBlock->Block_List[j].Own_Derivative[i]),sizeof(ModelBlock->Block_List[j].Own_Derivative[i]));
          }*/

            // The equations
            for (i = 0;i < ModelBlock->Block_List[j].Size;i++)
              {
                //The Temporary terms
                temporary_terms_type tt2;
                tt2.clear();
#ifdef DEBUGC
                k=0;
#endif
                for (temporary_terms_type::const_iterator it = ModelBlock->Block_List[j].Temporary_Terms_in_Equation[i]->begin();
                     it != ModelBlock->Block_List[j].Temporary_Terms_in_Equation[i]->end(); it++)
                  {
                    (*it)->compile(code_file, false, tt2, map_idx, true, false);

                    FSTPT_ fstpt((int)(map_idx.find((*it)->idx)->second));
                    fstpt.write(code_file);

                    /*code_file.write(&FSTPT, sizeof(FSTPT));
                    map_idx_type::const_iterator ii=map_idx.find((*it)->idx);
                    v=(int)ii->second;
                    code_file.write(reinterpret_cast<char *>(&v), sizeof(v));*/

                    // Insert current node into tt2
                    tt2.insert(*it);
#ifdef DEBUGC
                    cout << "FSTPT " << v << "\n";
                    code_file.write(&FOK, sizeof(FOK));
                    code_file.write(reinterpret_cast<char *>(&k), sizeof(k));
                    ki++;
#endif

                  }
#ifdef DEBUGC
                for (temporary_terms_type::const_iterator it = ModelBlock->Block_List[j].Temporary_terms->begin();
                     it != ModelBlock->Block_List[j].Temporary_terms->end(); it++)
                  {
                    map_idx_type::const_iterator ii=map_idx.find((*it)->idx);
                    cout << "map_idx[" << (*it)->idx <<"]=" << ii->second << "\n";
                  }
#endif
                switch (ModelBlock->Block_List[j].Simulation_Type)
                  {
evaluation:
                  case EVALUATE_BACKWARD:
                  case EVALUATE_FORWARD:
                    if (ModelBlock->Block_List[j].Equation_Type[i] == E_EVALUATE)
                      {
                        eq_node = equations[ModelBlock->Block_List[j].Equation[i]];
                        lhs = eq_node->get_arg1();
                        rhs = eq_node->get_arg2();
                        rhs->compile(code_file, false, temporary_terms, map_idx, true, false);
                        lhs->compile(code_file, true, temporary_terms, map_idx, true, false);
                      }
                    else if (ModelBlock->Block_List[j].Equation_Type[i] == E_EVALUATE_S)
                      {
                        eq_node = (BinaryOpNode*)ModelBlock->Block_List[j].Equation_Normalized[i];
                        lhs = eq_node->get_arg1();
                        rhs = eq_node->get_arg2();
                        rhs->compile(code_file, false, temporary_terms, map_idx, true, false);
                        lhs->compile(code_file, true, temporary_terms, map_idx, true, false);
                      }
                    break;
                  case SOLVE_BACKWARD_COMPLETE:
                  case SOLVE_FORWARD_COMPLETE:
                  case SOLVE_TWO_BOUNDARIES_COMPLETE:
                  case SOLVE_TWO_BOUNDARIES_SIMPLE:
                    if (i<ModelBlock->Block_List[j].Nb_Recursives)
                      goto evaluation;
                    feedback_variables.push_back(ModelBlock->Block_List[j].Variable[i]);
                    v=ModelBlock->Block_List[j].Equation[i];
                    Uf[v].Ufl=NULL;
                    goto end;
                  default:
end:
                    eq_node = equations[ModelBlock->Block_List[j].Equation[i]];
                    lhs = eq_node->get_arg1();
                    rhs = eq_node->get_arg2();
                    lhs->compile(code_file, false, temporary_terms, map_idx, true, false);
                    rhs->compile(code_file, false, temporary_terms, map_idx, true, false);

                    FBINARY_ fbinary(oMinus);
                    fbinary.write(code_file);
                    /*code_file.write(&FBINARY, sizeof(FBINARY));
                    int v=oMinus;
                    code_file.write(reinterpret_cast<char *>(&v),sizeof(v));*/
                    FSTPR_ fstpr(i - ModelBlock->Block_List[j].Nb_Recursives);
                    fstpr.write(code_file);
                    /*code_file.write(&FSTPR, sizeof(FSTPR));
                    v = i - ModelBlock->Block_List[j].Nb_Recursives;
                    code_file.write(reinterpret_cast<char *>(&v), sizeof(v));*/
                  }
              }
            FENDEQU_ fendequ;
            fendequ.write(code_file);
            //code_file.write(&FENDEQU, sizeof(FENDEQU));
            // The Jacobian if we have to solve the block
            if (ModelBlock->Block_List[j].Simulation_Type!=EVALUATE_BACKWARD
                && ModelBlock->Block_List[j].Simulation_Type!=EVALUATE_FORWARD)
              {
                switch (ModelBlock->Block_List[j].Simulation_Type)
                  {
                  case SOLVE_BACKWARD_SIMPLE:
                  case SOLVE_FORWARD_SIMPLE:
                    compileDerivative(code_file, ModelBlock->Block_List[j].Equation[0], ModelBlock->Block_List[j].Variable[0], 0, map_idx);
                      {
                        FSTPG_ fstpg(0);
                        fstpg.write(code_file);
                      }
                    /*code_file.write(&FSTPG, sizeof(FSTPG));
                    v=0;
                    code_file.write(reinterpret_cast<char *>(&v), sizeof(v));*/
                    break;

                  case SOLVE_BACKWARD_COMPLETE:
                  case SOLVE_FORWARD_COMPLETE:
                  case SOLVE_TWO_BOUNDARIES_COMPLETE:
                  case SOLVE_TWO_BOUNDARIES_SIMPLE:
                    //count_u=ModelBlock->Block_List[j].Size - ModelBlock->Block_List[j].Nb_Recursives;
                    count_u = feedback_variables.size();
                    for(i=0; i<(int)ModelBlock->Block_List[j].Chain_Rule_Derivatives->size();i++)
                      {
                        pair< pair<int, pair<int, int> >, pair<int, int> > it = ModelBlock->Block_List[j].Chain_Rule_Derivatives->at(i);
                        k=it.first.first;
                        int eq=it.first.second.first;
                        int var=it.first.second.second;
                        int eqr=it.second.first;
                        int varr=it.second.second;
                        //cout << "k=" << k << " eq=" << eq << " (" << eq-ModelBlock->Block_List[j].Nb_Recursives << ") var=" << var << " (" << var-ModelBlock->Block_List[j].Nb_Recursives << ") eqr=" << eqr << " varr=" << varr << " count_u=" << count_u << "\n";
                        int v=ModelBlock->Block_List[j].Equation[eq];
                        /*m = ModelBlock->Block_List[j].Max_Lag + k;
                        int u=ModelBlock->Block_List[j].IM_lead_lag[m].u[i];*/
                        if(eq>=ModelBlock->Block_List[j].Nb_Recursives and var>=ModelBlock->Block_List[j].Nb_Recursives)
                          {
                            if (!Uf[v].Ufl)
                              {
                                Uf[v].Ufl=(Uff_l*)malloc(sizeof(Uff_l));
                                Uf[v].Ufl_First=Uf[v].Ufl;
                              }
                            else
                              {
                                Uf[v].Ufl->pNext=(Uff_l*)malloc(sizeof(Uff_l));
                                Uf[v].Ufl=Uf[v].Ufl->pNext;
                              }
                            Uf[v].Ufl->pNext=NULL;
                            Uf[v].Ufl->u=count_u;
                            Uf[v].Ufl->var=varr;
                            Uf[v].Ufl->lag=k;
                            compileChainRuleDerivative(code_file, eqr, varr, k, map_idx);

                            FSTPU_ fstpu(count_u);
                            fstpu.write(code_file);

                            /*code_file.write(&FSTPU, sizeof(FSTPU));
                            code_file.write(reinterpret_cast<char *>(&count_u), sizeof(count_u));*/
                            count_u++;
												  }
											}
                    for (i = 0;i < ModelBlock->Block_List[j].Size;i++)
                      {
                        if(i>=ModelBlock->Block_List[j].Nb_Recursives)
                          {
                            FLDR_ fldr(i-ModelBlock->Block_List[j].Nb_Recursives);
                            fldr.write(code_file);
                            /*code_file.write(&FLDR, sizeof(FLDR));
                            v = i-ModelBlock->Block_List[j].Nb_Recursives;
                            code_file.write(reinterpret_cast<char *>(&v), sizeof(v));*/

                            FLDZ_ fldz;
                            fldz.write(code_file);
                            //code_file.write(&FLDZ, sizeof(FLDZ));

                            v=ModelBlock->Block_List[j].Equation[i];
                            for (Uf[v].Ufl=Uf[v].Ufl_First; Uf[v].Ufl; Uf[v].Ufl=Uf[v].Ufl->pNext)
                              {
                                FLDU_ fldu(Uf[v].Ufl->u);
                                fldu.write(code_file);
                                /*code_file.write(&FLDU, sizeof(FLDU));
                                code_file.write(reinterpret_cast<char *>(&Uf[v].Ufl->u), sizeof(Uf[v].Ufl->u));*/
                                FLDV_ fldv(eEndogenous, Uf[v].Ufl->var, Uf[v].Ufl->lag);
                                fldv.write(code_file);

                                /*code_file.write(&FLDV, sizeof(FLDV));
                                char vc=eEndogenous;
                                code_file.write(reinterpret_cast<char *>(&vc), sizeof(vc));
                                int v1=Uf[v].Ufl->var;
                                code_file.write(reinterpret_cast<char *>(&v1), sizeof(v1));
                                v1=Uf[v].Ufl->lag;
                                code_file.write(reinterpret_cast<char *>(&v1), sizeof(v1));*/
                                FBINARY_ fbinary(oTimes);
                                fbinary.write(code_file);
                                /*code_file.write(&FBINARY, sizeof(FBINARY));
                                v1=oTimes;
                                code_file.write(reinterpret_cast<char *>(&v1), sizeof(v1));*/

                                FCUML_ fcuml;
                                fcuml.write(code_file);
                                //code_file.write(&FCUML, sizeof(FCUML));
                              }
                            Uf[v].Ufl=Uf[v].Ufl_First;
                            while (Uf[v].Ufl)
                              {
                                Uf[v].Ufl_First=Uf[v].Ufl->pNext;
                                free(Uf[v].Ufl);
                                Uf[v].Ufl=Uf[v].Ufl_First;
                              }
                            FBINARY_ fbinary(oMinus);
                            fbinary.write(code_file);
                            /*code_file.write(&FBINARY, sizeof(FBINARY));
                            v=oMinus;
                            code_file.write(reinterpret_cast<char *>(&v), sizeof(v));*/

                            FSTPU_ fstpu(i - ModelBlock->Block_List[j].Nb_Recursives);
                            fstpu.write(code_file);
                            /*code_file.write(&FSTPU, sizeof(FSTPU));
                            v = i - ModelBlock->Block_List[j].Nb_Recursives;
                            code_file.write(reinterpret_cast<char *>(&v), sizeof(v));*/
                          }
                      }
                    break;
                  default:
                    break;
                  }
              }
      }
    FENDBLOCK_ fendblock;
    fendblock.write(code_file);
    //code_file.write(&FENDBLOCK, sizeof(FENDBLOCK));
    FEND_ fend;
    fend.write(code_file);
    //code_file.write(&FEND, sizeof(FEND));
    code_file.close();
  }

void
DynamicModel::writeDynamicMFile(const string &dynamic_basename) const
  {
    string filename = dynamic_basename + ".m";

    ofstream mDynamicModelFile;
    mDynamicModelFile.open(filename.c_str(), ios::out | ios::binary);
    if (!mDynamicModelFile.is_open())
      {
        cerr << "Error: Can't open file " << filename << " for writing" << endl;
        exit(EXIT_FAILURE);
      }
    mDynamicModelFile << "function [residual, g1, g2, g3] = " << dynamic_basename << "(y, x, params, it_)" << endl
    << "%" << endl
    << "% Status : Computes dynamic model for Dynare" << endl
    << "%" << endl
    << "% Warning : this file is generated automatically by Dynare" << endl
    << "%           from model file (.mod)" << endl << endl;
    
    if (containsSteadyStateOperator())
      mDynamicModelFile << "global oo_;" << endl << endl;

    writeDynamicModel(mDynamicModelFile, false);

    mDynamicModelFile.close();
  }

void
DynamicModel::writeDynamicCFile(const string &dynamic_basename) const
  {
    string filename = dynamic_basename + ".c";
    ofstream mDynamicModelFile;
    
    mDynamicModelFile.open(filename.c_str(), ios::out | ios::binary);
    if (!mDynamicModelFile.is_open())
      {
        cerr << "Error: Can't open file " << filename << " for writing" << endl;
        exit(EXIT_FAILURE);
      }
    mDynamicModelFile << "/*" << endl
                      << " * " << filename << " : Computes dynamic model for Dynare" << endl
                      << " *" << endl
                      << " * Warning : this file is generated automatically by Dynare" << endl
                      << " *           from model file (.mod)" << endl
                      << endl
                      << " */" << endl
                      << "#include <math.h>" << endl
                      << "#include \"mex.h\"" << endl
                      << endl
                      << "#define max(a, b) (((a) > (b)) ? (a) : (b))" << endl
                      << "#define min(a, b) (((a) > (b)) ? (b) : (a))" << endl;

    // Writing the function body
    writeDynamicModel(mDynamicModelFile, true);

    // Writing the gateway routine
    mDynamicModelFile << "/* The gateway routine */" << endl
    << "void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[])" << endl
    << "{" << endl
    << "  double *y, *x, *params;" << endl
    << "  double *residual, *g1, *v2, *v3;" << endl