LEMON/LEMON-official Changeset - r493:81627fa1b007

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Changeset - r493:81627fa1b007

« 492:04c063

494:fb5af0 »

r493:81627fa1b007

Wed, 14 Jan 2009 16:55:29

[Not Reviewed]

0 comments (0 inline)

alpar (Alpar Juttner)
alpar@cs.elte.hu

Own support for isnan()

0 2 0

default

2 files changed with 15 insertions and 6 deletions:

lemon/lp_base.h

lemon/math.h

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lemon/lp_base.h

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 		/* -*- mode: C++; indent-tabs-mode: nil; -*-
+		 *
 		 * This file is a part of LEMON, a generic C++ optimization library.
+		 *
 		 * Copyright (C) 2003-2008
 		 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
 		 * (Egervary Research Group on Combinatorial Optimization, EGRES).
+		 *
 		 * Permission to use, modify and distribute this software is granted
 		 * provided that this copyright notice appears in all copies. For
 		 * precise terms see the accompanying LICENSE file.
+		 *
 		 * This software is provided "AS IS" with no warranty of any kind,
 		 * express or implied, and with no claim as to its suitability for any
 		 * purpose.
+		 *
 		 */
 		#ifndef LEMON_LP_BASE_H
 		#define LEMON_LP_BASE_H
 		#include<iostream>
 		#include<vector>
 		#include<map>
 		#include<limits>
 		#include<lemon/math.h>
 		#include<lemon/error.h>
 		#include<lemon/assert.h>
 		#include<lemon/core.h>
 		#include<lemon/bits/solver_bits.h>
 		///\file
 		///\brief The interface of the LP solver interface.
 		///\ingroup lp_group
 		namespace lemon {
 		  ///Common base class for LP and MIP solvers
 		  ///Usually this class is not used directly, please use one of the concrete
 		  ///implementations of the solver interface.
 		  ///\ingroup lp_group
 		  class LpBase {
 		  protected:
 		    _solver_bits::VarIndex rows;
 		    _solver_bits::VarIndex cols;
 		  public:
 		    ///Possible outcomes of an LP solving procedure
 		    enum SolveExitStatus {
 		      ///This means that the problem has been successfully solved: either
 		      ///an optimal solution has been found or infeasibility/unboundedness
 		      ///has been proved.
 		      SOLVED = 0,
 		      ///Any other case (including the case when some user specified
 		      ///limit has been exceeded)
 		      UNSOLVED = 1
 		    };
 		    ///Direction of the optimization
 		    enum Sense {
 		      /// Minimization
 		      MIN,
 		      /// Maximization
 		      MAX
 		    };
 		    ///The floating point type used by the solver
 		    typedef double Value;
 		    ///The infinity constant
 		    static const Value INF;
 		    ///The not a number constant
 		    static const Value NaN;
 		    friend class Col;
 		    friend class ColIt;
 		    friend class Row;
 		    friend class RowIt;
 		    ///Refer to a column of the LP.
 		    ///This type is used to refer to a column of the LP.
 		    ///
 		    ///Its value remains valid and correct even after the addition or erase of
 		    ///other columns.
 		    ///
 		    ///\note This class is similar to other Item types in LEMON, like
 		    ///Node and Arc types in digraph.
 		    class Col {
 		      friend class LpBase;
 		    protected:
 		      int _id;
 		      explicit Col(int id) : _id(id) {}
 		    public:
 		      typedef Value ExprValue;
 		      typedef True LpCol;
 		      /// Default constructor
 		      /// \warning The default constructor sets the Col to an
 		      /// undefined value.
 		      Col() {}
 		      /// Invalid constructor \& conversion.
 		      /// This constructor initializes the Col to be invalid.
 		      /// \sa Invalid for more details.
 		      Col(const Invalid&) : _id(-1) {}
 		      /// Equality operator
 		      /// Two \ref Col "Col"s are equal if and only if they point to
 		      /// the same LP column or both are invalid.
 		      bool operator==(Col c) const  {return _id == c._id;}
 		      /// Inequality operator
 		      /// \sa operator==(Col c)
 		      ///
 		      bool operator!=(Col c) const  {return _id != c._id;}
 		      /// Artificial ordering operator.
 		      /// To allow the use of this object in std::map or similar
 		      /// associative container we require this.
 		      ///
 		      /// \note This operator only have to define some strict ordering of
 		      /// the items; this order has nothing to do with the iteration
 		      /// ordering of the items.
 		      bool operator<(Col c) const  {return _id < c._id;}
 		    };
 		    ///Iterator for iterate over the columns of an LP problem
 		    /// Its usage is quite simple, for example you can count the number
 		    /// of columns in an LP \c lp:
 		    ///\code
 		    /// int count=0;
 		    /// for (LpBase::ColIt c(lp); c!=INVALID; ++c) ++count;
 		    ///\endcode
 		    class ColIt : public Col {
 		      const LpBase *_solver;
 		    public:
 		      /// Default constructor
 		      /// \warning The default constructor sets the iterator
 		      /// to an undefined value.
 		      ColIt() {}
 		      /// Sets the iterator to the first Col
 		      /// Sets the iterator to the first Col.
 		      ///
 		      ColIt(const LpBase &solver) : _solver(&solver)
+		      {
 		        _solver->cols.firstItem(_id);
+		      }
 		      /// Invalid constructor \& conversion
 		      /// Initialize the iterator to be invalid.
 		      /// \sa Invalid for more details.
 		      ColIt(const Invalid&) : Col(INVALID) {}
 		      /// Next column
 		      /// Assign the iterator to the next column.
 		      ///
 		      ColIt &operator++()
+		      {
 		        _solver->cols.nextItem(_id);
 		        return *this;
+		      }
 		    };
 		    /// \brief Returns the ID of the column.
 		    static int id(const Col& col) { return col._id; }
 		    /// \brief Returns the column with the given ID.
 		    ///
 		    /// \pre The argument should be a valid column ID in the LP problem.
 		    static Col colFromId(int id) { return Col(id); }
 		    ///Refer to a row of the LP.
 		    ///This type is used to refer to a row of the LP.
 		    ///
 		    ///Its value remains valid and correct even after the addition or erase of
 		    ///other rows.
 		    ///
 		    ///\note This class is similar to other Item types in LEMON, like
 		    ///Node and Arc types in digraph.
 		    class Row {
 		      friend class LpBase;
 		    protected:
 		      int _id;
 		      explicit Row(int id) : _id(id) {}
 		    public:
 		      typedef Value ExprValue;
 		      typedef True LpRow;
 		      /// Default constructor
 		      /// \warning The default constructor sets the Row to an
 		      /// undefined value.
 		      Row() {}
 		      /// Invalid constructor \& conversion.
 		      /// This constructor initializes the Row to be invalid.
 		      /// \sa Invalid for more details.
 		      Row(const Invalid&) : _id(-1) {}
 		      /// Equality operator
 		      /// Two \ref Row "Row"s are equal if and only if they point to
 		      /// the same LP row or both are invalid.
 		      bool operator==(Row r) const  {return _id == r._id;}
 		      /// Inequality operator
 		      /// \sa operator==(Row r)
 		      ///
 		      bool operator!=(Row r) const  {return _id != r._id;}
 		      /// Artificial ordering operator.
 		      /// To allow the use of this object in std::map or similar
 		      /// associative container we require this.
 		      ///
 		      /// \note This operator only have to define some strict ordering of
 		      /// the items; this order has nothing to do with the iteration
 		      /// ordering of the items.
 		      bool operator<(Row r) const  {return _id < r._id;}
 		    };
 		    ///Iterator for iterate over the rows of an LP problem
 		    /// Its usage is quite simple, for example you can count the number
 		    /// of rows in an LP \c lp:
 		    ///\code
 		    /// int count=0;
 		    /// for (LpBase::RowIt c(lp); c!=INVALID; ++c) ++count;
 		    ///\endcode
 		    class RowIt : public Row {
 		      const LpBase *_solver;
 		    public:
 		      /// Default constructor
 		      /// \warning The default constructor sets the iterator
 		      /// to an undefined value.
 		      RowIt() {}
 		      /// Sets the iterator to the first Row
 		      /// Sets the iterator to the first Row.
 		      ///
 		      RowIt(const LpBase &solver) : _solver(&solver)
+		      {
 		        _solver->rows.firstItem(_id);
+		      }
 		      /// Invalid constructor \& conversion
 		      /// Initialize the iterator to be invalid.
 		      /// \sa Invalid for more details.
 		      RowIt(const Invalid&) : Row(INVALID) {}
 		      /// Next row
 		      /// Assign the iterator to the next row.
 		      ///
 		      RowIt &operator++()
+		      {
 		        _solver->rows.nextItem(_id);
 		        return *this;
+		      }
 		    };
 		    /// \brief Returns the ID of the row.
 		    static int id(const Row& row) { return row._id; }
 		    /// \brief Returns the row with the given ID.
 		    ///
 		    /// \pre The argument should be a valid row ID in the LP problem.
 		    static Row rowFromId(int id) { return Row(id); }
 		  public:
 		    ///Linear expression of variables and a constant component
 		    ///This data structure stores a linear expression of the variables
 		    ///(\ref Col "Col"s) and also has a constant component.
 		    ///
 		    ///There are several ways to access and modify the contents of this
 		    ///container.
 		    ///\code
 		    ///e[v]=5;
 		    ///e[v]+=12;
 		    ///e.erase(v);
 		    ///\endcode
 		    ///or you can also iterate through its elements.
 		    ///\code
 		    ///double s=0;
 		    ///for(LpBase::Expr::ConstCoeffIt i(e);i!=INVALID;++i)
 		    ///  s+=*i * primal(i);
 		    ///\endcode
 		    ///(This code computes the primal value of the expression).
 		    ///- Numbers (<tt>double</tt>'s)
 		    ///and variables (\ref Col "Col"s) directly convert to an
 		    ///\ref Expr and the usual linear operations are defined, so
 		    ///\code
 		    ///v+w
 		    ///2*v-3.12*(v-w/2)+2
 		    ///v*2.1+(3*v+(v*12+w+6)*3)/2
 		    ///\endcode
 		    ///are valid expressions.
 		    ///The usual assignment operations are also defined.
 		    ///\code
 		    ///e=v+w;
 		    ///e+=2*v-3.12*(v-w/2)+2;
 		    ///e*=3.4;
 		    ///e/=5;
 		    ///\endcode
 		    ///- The constant member can be set and read by dereference
 		    ///  operator (unary *)
 		    ///
 		    ///\code
 		    ///*e=12;
 		    ///double c=*e;
 		    ///\endcode
 		    ///
 		    ///\sa Constr
 		    class Expr {
 		      friend class LpBase;
 		    public:
 		      /// The key type of the expression
 		      typedef LpBase::Col Key;
 		      /// The value type of the expression
 		      typedef LpBase::Value Value;
 		    protected:
 		      Value const_comp;
 		      std::map<int, Value> comps;
 		    public:
 		      typedef True SolverExpr;
 		      /// Default constructor
 		      /// Construct an empty expression, the coefficients and
 		      /// the constant component are initialized to zero.
 		      Expr() : const_comp(0) {}
 		      /// Construct an expression from a column
 		      /// Construct an expression, which has a term with \c c variable
 		      /// and 1.0 coefficient.
 		      Expr(const Col &c) : const_comp(0) {
 		        typedef std::map<int, Value>::value_type pair_type;
 		        comps.insert(pair_type(id(c), 1));
+		      }
 		      /// Construct an expression from a constant
 		      /// Construct an expression, which's constant component is \c v.
 		      ///
 		      Expr(const Value &v) : const_comp(v) {}
 		      /// Returns the coefficient of the column
 		      Value operator[](const Col& c) const {
 		        std::map<int, Value>::const_iterator it=comps.find(id(c));
 		        if (it != comps.end()) {
 		          return it->second;
 		        } else {
 		          return 0;
+		        }
+		      }
 		      /// Returns the coefficient of the column
 		      Value& operator[](const Col& c) {
 		        return comps[id(c)];
+		      }
 		      /// Sets the coefficient of the column
 		      void set(const Col &c, const Value &v) {
 		        if (v != 0.0) {
 		          typedef std::map<int, Value>::value_type pair_type;
 		          comps.insert(pair_type(id(c), v));
 		        } else {
 		          comps.erase(id(c));
+		        }
+		      }
 		      /// Returns the constant component of the expression
 		      Value& operator*() { return const_comp; }
 		      /// Returns the constant component of the expression
 		      const Value& operator*() const { return const_comp; }
 		      /// \brief Removes the coefficients which's absolute value does
 		      /// not exceed \c epsilon. It also sets to zero the constant
 		      /// component, if it does not exceed epsilon in absolute value.
 		      void simplify(Value epsilon = 0.0) {
 		        std::map<int, Value>::iterator it=comps.begin();
 		        while (it != comps.end()) {
 		          std::map<int, Value>::iterator jt=it;
 		          ++jt;
 		          if (std::fabs((*it).second) <= epsilon) comps.erase(it);
 		          it=jt;
+		        }
 		        if (std::fabs(const_comp) <= epsilon) const_comp = 0;
+		      }
 		      void simplify(Value epsilon = 0.0) const {
 		        const_cast<Expr*>(this)->simplify(epsilon);
+		      }
 		      ///Sets all coefficients and the constant component to 0.
 		      void clear() {
 		        comps.clear();
 		        const_comp=0;
+		      }
 		      ///Compound assignment
 		      Expr &operator+=(const Expr &e) {
 		        for (std::map<int, Value>::const_iterator it=e.comps.begin();
 		             it!=e.comps.end(); ++it)
 		          comps[it->first]+=it->second;
 		        const_comp+=e.const_comp;
 		        return *this;
+		      }
 		      ///Compound assignment
 		      Expr &operator-=(const Expr &e) {
 		        for (std::map<int, Value>::const_iterator it=e.comps.begin();
 		             it!=e.comps.end(); ++it)
 		          comps[it->first]-=it->second;
 		        const_comp-=e.const_comp;
 		        return *this;
+		      }
 		      ///Multiply with a constant
 		      Expr &operator*=(const Value &v) {
 		        for (std::map<int, Value>::iterator it=comps.begin();
 		             it!=comps.end(); ++it)
 		          it->second*=v;
 		        const_comp*=v;
 		        return *this;
+		      }
 		      ///Division with a constant
 		      Expr &operator/=(const Value &c) {
 		        for (std::map<int, Value>::iterator it=comps.begin();
 		             it!=comps.end(); ++it)
 		          it->second/=c;
 		        const_comp/=c;
 		        return *this;
+		      }
 		      ///Iterator over the expression
 		      ///The iterator iterates over the terms of the expression.
 		      ///
 		      ///\code
 		      ///double s=0;
 		      ///for(LpBase::Expr::CoeffIt i(e);i!=INVALID;++i)
 		      ///  s+= *i * primal(i);
 		      ///\endcode
 		      class CoeffIt {
 		      private:
 		        std::map<int, Value>::iterator _it, _end;
 		      public:
 		        /// Sets the iterator to the first term
 		        /// Sets the iterator to the first term of the expression.
 		        ///
 		        CoeffIt(Expr& e)
 		          : _it(e.comps.begin()), _end(e.comps.end()){}
 		        /// Convert the iterator to the column of the term
 		        operator Col() const {
 		          return colFromId(_it->first);
+		        }
 		        /// Returns the coefficient of the term
 		        Value& operator*() { return _it->second; }
 		        /// Returns the coefficient of the term
 		        const Value& operator*() const { return _it->second; }
 		        /// Next term
 		        /// Assign the iterator to the next term.
 		        ///
 		        CoeffIt& operator++() { ++_it; return *this; }
 		        /// Equality operator
 		        bool operator==(Invalid) const { return _it == _end; }
 		        /// Inequality operator
 		        bool operator!=(Invalid) const { return _it != _end; }
 		      };
 		      /// Const iterator over the expression
 		      ///The iterator iterates over the terms of the expression.
 		      ///
 		      ///\code
 		      ///double s=0;
 		      ///for(LpBase::Expr::ConstCoeffIt i(e);i!=INVALID;++i)
 		      ///  s+=*i * primal(i);
 		      ///\endcode
 		      class ConstCoeffIt {
 		      private:
 		        std::map<int, Value>::const_iterator _it, _end;
 		      public:
 		        /// Sets the iterator to the first term
 		        /// Sets the iterator to the first term of the expression.
 		        ///
 		        ConstCoeffIt(const Expr& e)
 		          : _it(e.comps.begin()), _end(e.comps.end()){}
 		        /// Convert the iterator to the column of the term
 		        operator Col() const {
 		          return colFromId(_it->first);
+		        }
 		        /// Returns the coefficient of the term
 		        const Value& operator*() const { return _it->second; }
 		        /// Next term
 		        /// Assign the iterator to the next term.
 		        ///
 		        ConstCoeffIt& operator++() { ++_it; return *this; }
 		        /// Equality operator
 		        bool operator==(Invalid) const { return _it == _end; }
 		        /// Inequality operator
 		        bool operator!=(Invalid) const { return _it != _end; }
 		      };
 		    };
 		    ///Linear constraint
 		    ///This data stucture represents a linear constraint in the LP.
 		    ///Basically it is a linear expression with a lower or an upper bound
 		    ///(or both). These parts of the constraint can be obtained by the member
 		    ///functions \ref expr(), \ref lowerBound() and \ref upperBound(),
 		    ///respectively.
 		    ///There are two ways to construct a constraint.
 		    ///- You can set the linear expression and the bounds directly
 		    ///  by the functions above.
 		    ///- The operators <tt>\<=</tt>, <tt>==</tt> and  <tt>\>=</tt>
 		    ///  are defined between expressions, or even between constraints whenever
 		    ///  it makes sense. Therefore if \c e and \c f are linear expressions and
 		    ///  \c s and \c t are numbers, then the followings are valid expressions
 		    ///  and thus they can be used directly e.g. in \ref addRow() whenever
 		    ///  it makes sense.
 		    ///\code
 		    ///  e<=s
 		    ///  e<=f
 		    ///  e==f
 		    ///  s<=e<=t
 		    ///  e>=t
 		    ///\endcode
 		    ///\warning The validity of a constraint is checked only at run
 		    ///time, so e.g. \ref addRow(<tt>x[1]\<=x[2]<=5</tt>) will
 		    ///compile, but will fail an assertion.
 		    class Constr
+		    {
 		    public:
 		      typedef LpBase::Expr Expr;
 		      typedef Expr::Key Key;
 		      typedef Expr::Value Value;
 		    protected:
 		      Expr _expr;
 		      Value _lb,_ub;
 		    public:
 		      ///\e
 		      Constr() : _expr(), _lb(NaN), _ub(NaN) {}
 		      ///\e
 		      Constr(Value lb, const Expr &e, Value ub) :
 		        _expr(e), _lb(lb), _ub(ub) {}
 		      Constr(const Expr &e) :
 		        _expr(e), _lb(NaN), _ub(NaN) {}
 		      ///\e
 		      void clear()
+		      {
 		        _expr.clear();
 		        _lb=_ub=NaN;
+		      }
 		      ///Reference to the linear expression
 		      Expr &expr() { return _expr; }
 		      ///Cont reference to the linear expression
 		      const Expr &expr() const { return _expr; }
 		      ///Reference to the lower bound.
 		      ///\return
 		      ///- \ref INF "INF": the constraint is lower unbounded.
 		      ///- \ref NaN "NaN": lower bound has not been set.
 		      ///- finite number: the lower bound
 		      Value &lowerBound() { return _lb; }
 		      ///The const version of \ref lowerBound()
 		      const Value &lowerBound() const { return _lb; }
 		      ///Reference to the upper bound.
 		      ///\return
 		      ///- \ref INF "INF": the constraint is upper unbounded.
 		      ///- \ref NaN "NaN": upper bound has not been set.
 		      ///- finite number: the upper bound
 		      Value &upperBound() { return _ub; }
 		      ///The const version of \ref upperBound()
 		      const Value &upperBound() const { return _ub; }
 		      ///Is the constraint lower bounded?
 		      bool lowerBounded() const {
-		        return _lb != -INF && !std::isnan(_lb);
 		        return _lb != -INF && !isnan(_lb);
+		      }
 		      ///Is the constraint upper bounded?
 		      bool upperBounded() const {
-		        return _ub != INF && !std::isnan(_ub);
 		        return _ub != INF && !isnan(_ub);
+		      }
 		    };
 		    ///Linear expression of rows
 		    ///This data structure represents a column of the matrix,
 		    ///thas is it strores a linear expression of the dual variables
 		    ///(\ref Row "Row"s).
 		    ///
 		    ///There are several ways to access and modify the contents of this
 		    ///container.
 		    ///\code
 		    ///e[v]=5;
 		    ///e[v]+=12;
 		    ///e.erase(v);
 		    ///\endcode
 		    ///or you can also iterate through its elements.
 		    ///\code
 		    ///double s=0;
 		    ///for(LpBase::DualExpr::ConstCoeffIt i(e);i!=INVALID;++i)
 		    ///  s+=*i;
 		    ///\endcode
 		    ///(This code computes the sum of all coefficients).
 		    ///- Numbers (<tt>double</tt>'s)
 		    ///and variables (\ref Row "Row"s) directly convert to an
 		    ///\ref DualExpr and the usual linear operations are defined, so
 		    ///\code
 		    ///v+w
 		    ///2*v-3.12*(v-w/2)
 		    ///v*2.1+(3*v+(v*12+w)*3)/2
 		    ///\endcode
 		    ///are valid \ref DualExpr dual expressions.
 		    ///The usual assignment operations are also defined.
 		    ///\code
 		    ///e=v+w;
 		    ///e+=2*v-3.12*(v-w/2);
 		    ///e*=3.4;
 		    ///e/=5;
 		    ///\endcode
 		    ///
 		    ///\sa Expr
 		    class DualExpr {
 		      friend class LpBase;
 		    public:
 		      /// The key type of the expression
 		      typedef LpBase::Row Key;
 		      /// The value type of the expression
 		      typedef LpBase::Value Value;
 		    protected:
 		      std::map<int, Value> comps;
 		    public:
 		      typedef True SolverExpr;
 		      /// Default constructor
 		      /// Construct an empty expression, the coefficients are
 		      /// initialized to zero.
 		      DualExpr() {}
 		      /// Construct an expression from a row
 		      /// Construct an expression, which has a term with \c r dual
 		      /// variable and 1.0 coefficient.
 		      DualExpr(const Row &r) {
 		        typedef std::map<int, Value>::value_type pair_type;
 		        comps.insert(pair_type(id(r), 1));
+		      }
 		      /// Returns the coefficient of the row
 		      Value operator[](const Row& r) const {
 		        std::map<int, Value>::const_iterator it = comps.find(id(r));
 		        if (it != comps.end()) {
 		          return it->second;
 		        } else {
 		          return 0;
+		        }
+		      }
 		      /// Returns the coefficient of the row
 		      Value& operator[](const Row& r) {
 		        return comps[id(r)];
+		      }
 		      /// Sets the coefficient of the row
 		      void set(const Row &r, const Value &v) {
 		        if (v != 0.0) {
 		          typedef std::map<int, Value>::value_type pair_type;
 		          comps.insert(pair_type(id(r), v));
 		        } else {
 		          comps.erase(id(r));
+		        }
+		      }
 		      /// \brief Removes the coefficients which's absolute value does
 		      /// not exceed \c epsilon.
 		      void simplify(Value epsilon = 0.0) {
 		        std::map<int, Value>::iterator it=comps.begin();
 		        while (it != comps.end()) {
 		          std::map<int, Value>::iterator jt=it;
 		          ++jt;
 		          if (std::fabs((*it).second) <= epsilon) comps.erase(it);
 		          it=jt;
+		        }
+		      }
 		      void simplify(Value epsilon = 0.0) const {
 		        const_cast<DualExpr*>(this)->simplify(epsilon);
+		      }
 		      ///Sets all coefficients to 0.
 		      void clear() {
 		        comps.clear();
+		      }
 		      ///Compound assignment
 		      DualExpr &operator+=(const DualExpr &e) {
 		        for (std::map<int, Value>::const_iterator it=e.comps.begin();
 		             it!=e.comps.end(); ++it)
 		          comps[it->first]+=it->second;
 		        return *this;
+		      }
 		      ///Compound assignment
 		      DualExpr &operator-=(const DualExpr &e) {
 		        for (std::map<int, Value>::const_iterator it=e.comps.begin();
 		             it!=e.comps.end(); ++it)
 		          comps[it->first]-=it->second;
 		        return *this;
+		      }
 		      ///Multiply with a constant
 		      DualExpr &operator*=(const Value &v) {
 		        for (std::map<int, Value>::iterator it=comps.begin();
 		             it!=comps.end(); ++it)
 		          it->second*=v;
 		        return *this;
+		      }
 		      ///Division with a constant
 		      DualExpr &operator/=(const Value &v) {
 		        for (std::map<int, Value>::iterator it=comps.begin();
 		             it!=comps.end(); ++it)
 		          it->second/=v;
 		        return *this;
+		      }
 		      ///Iterator over the expression
 		      ///The iterator iterates over the terms of the expression.
 		      ///
 		      ///\code
 		      ///double s=0;
 		      ///for(LpBase::DualExpr::CoeffIt i(e);i!=INVALID;++i)
 		      ///  s+= *i * dual(i);
 		      ///\endcode
 		      class CoeffIt {
 		      private:
 		        std::map<int, Value>::iterator _it, _end;
 		      public:
 		        /// Sets the iterator to the first term
 		        /// Sets the iterator to the first term of the expression.
 		        ///
 		        CoeffIt(DualExpr& e)
 		          : _it(e.comps.begin()), _end(e.comps.end()){}
 		        /// Convert the iterator to the row of the term
 		        operator Row() const {
 		          return rowFromId(_it->first);
+		        }
 		        /// Returns the coefficient of the term
 		        Value& operator*() { return _it->second; }
 		        /// Returns the coefficient of the term
 		        const Value& operator*() const { return _it->second; }
 		        /// Next term
 		        /// Assign the iterator to the next term.
 		        ///
 		        CoeffIt& operator++() { ++_it; return *this; }
 		        /// Equality operator
 		        bool operator==(Invalid) const { return _it == _end; }
 		        /// Inequality operator
 		        bool operator!=(Invalid) const { return _it != _end; }
 		      };
 		      ///Iterator over the expression
 		      ///The iterator iterates over the terms of the expression.
 		      ///
 		      ///\code
 		      ///double s=0;
 		      ///for(LpBase::DualExpr::ConstCoeffIt i(e);i!=INVALID;++i)
 		      ///  s+= *i * dual(i);
 		      ///\endcode
 		      class ConstCoeffIt {
 		      private:
 		        std::map<int, Value>::const_iterator _it, _end;
 		      public:
 		        /// Sets the iterator to the first term
 		        /// Sets the iterator to the first term of the expression.
 		        ///
 		        ConstCoeffIt(const DualExpr& e)
 		          : _it(e.comps.begin()), _end(e.comps.end()){}
 		        /// Convert the iterator to the row of the term
 		        operator Row() const {
 		          return rowFromId(_it->first);
+		        }
 		        /// Returns the coefficient of the term
 		        const Value& operator*() const { return _it->second; }
 		        /// Next term
 		        /// Assign the iterator to the next term.
 		        ///
 		        ConstCoeffIt& operator++() { ++_it; return *this; }
 		        /// Equality operator
 		        bool operator==(Invalid) const { return _it == _end; }
 		        /// Inequality operator
 		        bool operator!=(Invalid) const { return _it != _end; }
 		      };
 		    };
 		  protected:
 		    class InsertIterator {
 		    private:
 		      std::map<int, Value>& _host;
 		      const _solver_bits::VarIndex& _index;
 		    public:
 		      typedef std::output_iterator_tag iterator_category;
 		      typedef void difference_type;
 		      typedef void value_type;
 		      typedef void reference;
 		      typedef void pointer;
 		      InsertIterator(std::map<int, Value>& host,
 		                   const _solver_bits::VarIndex& index)
 		        : _host(host), _index(index) {}
 		      InsertIterator& operator=(const std::pair<int, Value>& value) {
 		        typedef std::map<int, Value>::value_type pair_type;
 		        _host.insert(pair_type(_index[value.first], value.second));
 		        return *this;
+		      }
 		      InsertIterator& operator*() { return *this; }
 		      InsertIterator& operator++() { return *this; }
 		      InsertIterator operator++(int) { return *this; }
 		    };
 		    class ExprIterator {
 		    private:
 		      std::map<int, Value>::const_iterator _host_it;
 		      const _solver_bits::VarIndex& _index;
 		    public:
 		      typedef std::bidirectional_iterator_tag iterator_category;
 		      typedef std::ptrdiff_t difference_type;
 		      typedef const std::pair<int, Value> value_type;
 		      typedef value_type reference;
 		      class pointer {
 		      public:
 		        pointer(value_type& _value) : value(_value) {}
 		        value_type* operator->() { return &value; }
 		      private:
 		        value_type value;
 		      };
 		      ExprIterator(const std::map<int, Value>::const_iterator& host_it,
 		                   const _solver_bits::VarIndex& index)
 		        : _host_it(host_it), _index(index) {}
 		      reference operator*() {
 		        return std::make_pair(_index(_host_it->first), _host_it->second);
+		      }
 		      pointer operator->() {
 		        return pointer(operator*());
+		      }
 		      ExprIterator& operator++() { ++_host_it; return *this; }
 		      ExprIterator operator++(int) {
 		        ExprIterator tmp(*this); ++_host_it; return tmp;
+		      }
 		      ExprIterator& operator--() { --_host_it; return *this; }
 		      ExprIterator operator--(int) {
 		        ExprIterator tmp(*this); --_host_it; return tmp;
+		      }
 		      bool operator==(const ExprIterator& it) const {
 		        return _host_it == it._host_it;
+		      }
 		      bool operator!=(const ExprIterator& it) const {
 		        return _host_it != it._host_it;
+		      }
 		    };
 		  protected:
 		    //Abstract virtual functions
 		    virtual LpBase* _newSolver() const = 0;
 		    virtual LpBase* _cloneSolver() const = 0;
 		    virtual int _addColId(int col) { return cols.addIndex(col); }
 		    virtual int _addRowId(int row) { return rows.addIndex(row); }
 		    virtual void _eraseColId(int col) { cols.eraseIndex(col); }
 		    virtual void _eraseRowId(int row) { rows.eraseIndex(row); }
 		    virtual int _addCol() = 0;
 		    virtual int _addRow() = 0;
 		    virtual void _eraseCol(int col) = 0;
 		    virtual void _eraseRow(int row) = 0;
 		    virtual void _getColName(int col, std::string& name) const = 0;
 		    virtual void _setColName(int col, const std::string& name) = 0;
 		    virtual int _colByName(const std::string& name) const = 0;
 		    virtual void _getRowName(int row, std::string& name) const = 0;
 		    virtual void _setRowName(int row, const std::string& name) = 0;
 		    virtual int _rowByName(const std::string& name) const = 0;
 		    virtual void _setRowCoeffs(int i, ExprIterator b, ExprIterator e) = 0;
 		    virtual void _getRowCoeffs(int i, InsertIterator b) const = 0;
 		    virtual void _setColCoeffs(int i, ExprIterator b, ExprIterator e) = 0;
 		    virtual void _getColCoeffs(int i, InsertIterator b) const = 0;
 		    virtual void _setCoeff(int row, int col, Value value) = 0;
 		    virtual Value _getCoeff(int row, int col) const = 0;
 		    virtual void _setColLowerBound(int i, Value value) = 0;
 		    virtual Value _getColLowerBound(int i) const = 0;
 		    virtual void _setColUpperBound(int i, Value value) = 0;
 		    virtual Value _getColUpperBound(int i) const = 0;
 		    virtual void _setRowLowerBound(int i, Value value) = 0;
 		    virtual Value _getRowLowerBound(int i) const = 0;
 		    virtual void _setRowUpperBound(int i, Value value) = 0;
 		    virtual Value _getRowUpperBound(int i) const = 0;
 		    virtual void _setObjCoeffs(ExprIterator b, ExprIterator e) = 0;
 		    virtual void _getObjCoeffs(InsertIterator b) const = 0;
 		    virtual void _setObjCoeff(int i, Value obj_coef) = 0;
 		    virtual Value _getObjCoeff(int i) const = 0;
 		    virtual void _setSense(Sense) = 0;
 		    virtual Sense _getSense() const = 0;
 		    virtual void _clear() = 0;
 		    virtual const char* _solverName() const = 0;
 		    //Own protected stuff
 		    //Constant component of the objective function
 		    Value obj_const_comp;
 		    LpBase() : rows(), cols(), obj_const_comp(0) {}
 		  public:
 		    /// Virtual destructor
 		    virtual ~LpBase() {}
 		    ///Creates a new LP problem
 		    LpBase* newSolver() {return _newSolver();}
 		    ///Makes a copy of the LP problem
 		    LpBase* cloneSolver() {return _cloneSolver();}
 		    ///Gives back the name of the solver.
 		    const char* solverName() const {return _solverName();}
 		    ///\name Build up and modify the LP
 		    ///@{
 		    ///Add a new empty column (i.e a new variable) to the LP
 		    Col addCol() { Col c; c._id = _addColId(_addCol()); return c;}
 		    ///\brief Adds several new columns (i.e variables) at once
 		    ///
 		    ///This magic function takes a container as its argument and fills
 		    ///its elements with new columns (i.e. variables)
 		    ///\param t can be
 		    ///- a standard STL compatible iterable container with
 		    ///\ref Col as its \c values_type like
 		    ///\code
 		    ///std::vector<LpBase::Col>
 		    ///std::list<LpBase::Col>
 		    ///\endcode
 		    ///- a standard STL compatible iterable container with
 		    ///\ref Col as its \c mapped_type like
 		    ///\code
 		    ///std::map<AnyType,LpBase::Col>
 		    ///\endcode
 		    ///- an iterable lemon \ref concepts::WriteMap "write map" like
 		    ///\code
 		    ///ListGraph::NodeMap<LpBase::Col>
 		    ///ListGraph::ArcMap<LpBase::Col>
 		    ///\endcode
 		    ///\return The number of the created column.
 		#ifdef DOXYGEN
 		    template<class T>
 		    int addColSet(T &t) { return 0;}
 		#else
 		    template<class T>
 		    typename enable_if<typename T::value_type::LpCol,int>::type
 		    addColSet(T &t,dummy<0> = 0) {
 		      int s=0;
 		      for(typename T::iterator i=t.begin();i!=t.end();++i) {*i=addCol();s++;}
 		      return s;
+		    }
 		    template<class T>
 		    typename enable_if<typename T::value_type::second_type::LpCol,
 		                       int>::type
 		    addColSet(T &t,dummy<1> = 1) {
 		      int s=0;
 		      for(typename T::iterator i=t.begin();i!=t.end();++i) {
 		        i->second=addCol();
 		        s++;
+		      }
 		      return s;
+		    }
 		    template<class T>
 		    typename enable_if<typename T::MapIt::Value::LpCol,
 		                       int>::type
 		    addColSet(T &t,dummy<2> = 2) {
 		      int s=0;
 		      for(typename T::MapIt i(t); i!=INVALID; ++i)
+		        {
 		          i.set(addCol());
 		          s++;
+		        }
 		      return s;
+		    }
 		#endif
 		    ///Set a column (i.e a dual constraint) of the LP
 		    ///\param c is the column to be modified
 		    ///\param e is a dual linear expression (see \ref DualExpr)
 		    ///a better one.
 		    void col(Col c, const DualExpr &e) {
 		      e.simplify();
 		      _setColCoeffs(cols(id(c)), ExprIterator(e.comps.begin(), cols),
 		                    ExprIterator(e.comps.end(), cols));
+		    }
 		    ///Get a column (i.e a dual constraint) of the LP
 		    ///\param c is the column to get
 		    ///\return the dual expression associated to the column
 		    DualExpr col(Col c) const {
 		      DualExpr e;
 		      _getColCoeffs(cols(id(c)), InsertIterator(e.comps, rows));
 		      return e;
+		    }
 		    ///Add a new column to the LP
 		    ///\param e is a dual linear expression (see \ref DualExpr)
 		    ///\param o is the corresponding component of the objective
 		    ///function. It is 0 by default.
 		    ///\return The created column.
 		    Col addCol(const DualExpr &e, Value o = 0) {
 		      Col c=addCol();
 		      col(c,e);
 		      objCoeff(c,o);
 		      return c;
+		    }
 		    ///Add a new empty row (i.e a new constraint) to the LP
 		    ///This function adds a new empty row (i.e a new constraint) to the LP.
 		    ///\return The created row
 		    Row addRow() { Row r; r._id = _addRowId(_addRow()); return r;}
 		    ///\brief Add several new rows (i.e constraints) at once
 		    ///
 		    ///This magic function takes a container as its argument and fills
 		    ///its elements with new row (i.e. variables)
 		    ///\param t can be
 		    ///- a standard STL compatible iterable container with
 		    ///\ref Row as its \c values_type like
 		    ///\code
 		    ///std::vector<LpBase::Row>
 		    ///std::list<LpBase::Row>
 		    ///\endcode
 		    ///- a standard STL compatible iterable container with
 		    ///\ref Row as its \c mapped_type like
 		    ///\code
 		    ///std::map<AnyType,LpBase::Row>
 		    ///\endcode
 		    ///- an iterable lemon \ref concepts::WriteMap "write map" like
 		    ///\code
 		    ///ListGraph::NodeMap<LpBase::Row>
 		    ///ListGraph::ArcMap<LpBase::Row>
 		    ///\endcode
 		    ///\return The number of rows created.
 		#ifdef DOXYGEN
 		    template<class T>
 		    int addRowSet(T &t) { return 0;}
 		#else
 		    template<class T>
 		    typename enable_if<typename T::value_type::LpRow,int>::type
 		    addRowSet(T &t, dummy<0> = 0) {
 		      int s=0;
 		      for(typename T::iterator i=t.begin();i!=t.end();++i) {*i=addRow();s++;}
 		      return s;
+		    }
 		    template<class T>
 		    typename enable_if<typename T::value_type::second_type::LpRow, int>::type
 		    addRowSet(T &t, dummy<1> = 1) {
 		      int s=0;
 		      for(typename T::iterator i=t.begin();i!=t.end();++i) {
 		        i->second=addRow();
 		        s++;
+		      }
 		      return s;
+		    }
 		    template<class T>
 		    typename enable_if<typename T::MapIt::Value::LpRow, int>::type
 		    addRowSet(T &t, dummy<2> = 2) {
 		      int s=0;
 		      for(typename T::MapIt i(t); i!=INVALID; ++i)
+		        {
 		          i.set(addRow());
 		          s++;
+		        }
 		      return s;
+		    }
 		#endif
 		    ///Set a row (i.e a constraint) of the LP
 		    ///\param r is the row to be modified
 		    ///\param l is lower bound (-\ref INF means no bound)
 		    ///\param e is a linear expression (see \ref Expr)
 		    ///\param u is the upper bound (\ref INF means no bound)
 		    void row(Row r, Value l, const Expr &e, Value u) {
 		      e.simplify();
 		      _setRowCoeffs(rows(id(r)), ExprIterator(e.comps.begin(), cols),
 		                    ExprIterator(e.comps.end(), cols));
 		      _setRowLowerBound(rows(id(r)),l - *e);
 		      _setRowUpperBound(rows(id(r)),u - *e);
+		    }
 		    ///Set a row (i.e a constraint) of the LP
 		    ///\param r is the row to be modified
 		    ///\param c is a linear expression (see \ref Constr)
 		    void row(Row r, const Constr &c) {
 		      row(r, c.lowerBounded()?c.lowerBound():-INF,
 		          c.expr(), c.upperBounded()?c.upperBound():INF);
+		    }
 		    ///Get a row (i.e a constraint) of the LP
 		    ///\param r is the row to get
 		    ///\return the expression associated to the row
 		    Expr row(Row r) const {
 		      Expr e;
 		      _getRowCoeffs(rows(id(r)), InsertIterator(e.comps, cols));
 		      return e;
+		    }
 		    ///Add a new row (i.e a new constraint) to the LP
 		    ///\param l is the lower bound (-\ref INF means no bound)
 		    ///\param e is a linear expression (see \ref Expr)
 		    ///\param u is the upper bound (\ref INF means no bound)
 		    ///\return The created row.
 		    Row addRow(Value l,const Expr &e, Value u) {
 		      Row r=addRow();
 		      row(r,l,e,u);
 		      return r;
+		    }
 		    ///Add a new row (i.e a new constraint) to the LP
 		    ///\param c is a linear expression (see \ref Constr)
 		    ///\return The created row.
 		    Row addRow(const Constr &c) {
 		      Row r=addRow();
 		      row(r,c);
 		      return r;
+		    }
 		    ///Erase a column (i.e a variable) from the LP
 		    ///\param c is the column to be deleted
 		    void erase(Col c) {
 		      _eraseCol(cols(id(c)));
 		      _eraseColId(cols(id(c)));
+		    }
 		    ///Erase a row (i.e a constraint) from the LP
 		    ///\param r is the row to be deleted
 		    void erase(Row r) {
 		      _eraseRow(rows(id(r)));
 		      _eraseRowId(rows(id(r)));
+		    }
 		    /// Get the name of a column
 		    ///\param c is the coresponding column
 		    ///\return The name of the colunm
 		    std::string colName(Col c) const {
 		      std::string name;
 		      _getColName(cols(id(c)), name);
 		      return name;
+		    }
 		    /// Set the name of a column
 		    ///\param c is the coresponding column
 		    ///\param name The name to be given
 		    void colName(Col c, const std::string& name) {
 		      _setColName(cols(id(c)), name);
+		    }
 		    /// Get the column by its name
 		    ///\param name The name of the column
 		    ///\return the proper column or \c INVALID
 		    Col colByName(const std::string& name) const {
 		      int k = _colByName(name);
 		      return k != -1 ? Col(cols[k]) : Col(INVALID);
+		    }
 		    /// Get the name of a row
 		    ///\param r is the coresponding row
 		    ///\return The name of the row
 		    std::string rowName(Row r) const {
 		      std::string name;
 		      _getRowName(rows(id(r)), name);
 		      return name;
+		    }
 		    /// Set the name of a row
 		    ///\param r is the coresponding row
 		    ///\param name The name to be given
 		    void rowName(Row r, const std::string& name) {
 		      _setRowName(rows(id(r)), name);
+		    }
 		    /// Get the row by its name
 		    ///\param name The name of the row
 		    ///\return the proper row or \c INVALID
 		    Row rowByName(const std::string& name) const {
 		      int k = _rowByName(name);
 		      return k != -1 ? Row(rows[k]) : Row(INVALID);
+		    }
 		    /// Set an element of the coefficient matrix of the LP
 		    ///\param r is the row of the element to be modified
 		    ///\param c is the column of the element to be modified
 		    ///\param val is the new value of the coefficient
 		    void coeff(Row r, Col c, Value val) {
 		      _setCoeff(rows(id(r)),cols(id(c)), val);
+		    }
 		    /// Get an element of the coefficient matrix of the LP
 		    ///\param r is the row of the element
 		    ///\param c is the column of the element
 		    ///\return the corresponding coefficient
 		    Value coeff(Row r, Col c) const {
 		      return _getCoeff(rows(id(r)),cols(id(c)));
+		    }
 		    /// Set the lower bound of a column (i.e a variable)
 		    /// The lower bound of a variable (column) has to be given by an
 		    /// extended number of type Value, i.e. a finite number of type
 		    /// Value or -\ref INF.
 		    void colLowerBound(Col c, Value value) {
 		      _setColLowerBound(cols(id(c)),value);
+		    }
 		    /// Get the lower bound of a column (i.e a variable)
 		    /// This function returns the lower bound for column (variable) \c c
 		    /// (this might be -\ref INF as well).
 		    ///\return The lower bound for column \c c
 		    Value colLowerBound(Col c) const {
 		      return _getColLowerBound(cols(id(c)));
+		    }
 		    ///\brief Set the lower bound of  several columns
 		    ///(i.e variables) at once
 		    ///
 		    ///This magic function takes a container as its argument
 		    ///and applies the function on all of its elements.
 		    ///The lower bound of a variable (column) has to be given by an
 		    ///extended number of type Value, i.e. a finite number of type
 		    ///Value or -\ref INF.
 		#ifdef DOXYGEN
 		    template<class T>
 		    void colLowerBound(T &t, Value value) { return 0;}
 		#else
 		    template<class T>
 		    typename enable_if<typename T::value_type::LpCol,void>::type
 		    colLowerBound(T &t, Value value,dummy<0> = 0) {
 		      for(typename T::iterator i=t.begin();i!=t.end();++i) {
 		        colLowerBound(*i, value);
+		      }
+		    }
 		    template<class T>
 		    typename enable_if<typename T::value_type::second_type::LpCol,
 		                       void>::type
 		    colLowerBound(T &t, Value value,dummy<1> = 1) {
 		      for(typename T::iterator i=t.begin();i!=t.end();++i) {
 		        colLowerBound(i->second, value);
+		      }
+		    }
 		    template<class T>
 		    typename enable_if<typename T::MapIt::Value::LpCol,
 		                       void>::type
 		    colLowerBound(T &t, Value value,dummy<2> = 2) {
 		      for(typename T::MapIt i(t); i!=INVALID; ++i){
 		        colLowerBound(*i, value);
+		      }
+		    }
 		#endif
 		    /// Set the upper bound of a column (i.e a variable)
 		    /// The upper bound of a variable (column) has to be given by an
 		    /// extended number of type Value, i.e. a finite number of type
 		    /// Value or \ref INF.
 		    void colUpperBound(Col c, Value value) {
 		      _setColUpperBound(cols(id(c)),value);
 		    };
 		    /// Get the upper bound of a column (i.e a variable)
 		    /// This function returns the upper bound for column (variable) \c c
 		    /// (this might be \ref INF as well).
 		    /// \return The upper bound for column \c c
 		    Value colUpperBound(Col c) const {
 		      return _getColUpperBound(cols(id(c)));
+		    }
 		    ///\brief Set the upper bound of  several columns
 		    ///(i.e variables) at once
 		    ///
 		    ///This magic function takes a container as its argument
 		    ///and applies the function on all of its elements.
 		    ///The upper bound of a variable (column) has to be given by an
 		    ///extended number of type Value, i.e. a finite number of type
 		    ///Value or \ref INF.
 		#ifdef DOXYGEN
 		    template<class T>
 		    void colUpperBound(T &t, Value value) { return 0;}
 		#else
 		    template<class T>
 		    typename enable_if<typename T::value_type::LpCol,void>::type
 		    colUpperBound(T &t, Value value,dummy<0> = 0) {
 		      for(typename T::iterator i=t.begin();i!=t.end();++i) {
 		        colUpperBound(*i, value);
+		      }
+		    }
 		    template<class T>
 		    typename enable_if<typename T::value_type::second_type::LpCol,
 		                       void>::type
 		    colUpperBound(T &t, Value value,dummy<1> = 1) {
 		      for(typename T::iterator i=t.begin();i!=t.end();++i) {
 		        colUpperBound(i->second, value);
+		      }
+		    }
 		    template<class T>
 		    typename enable_if<typename T::MapIt::Value::LpCol,
 		                       void>::type
 		    colUpperBound(T &t, Value value,dummy<2> = 2) {
 		      for(typename T::MapIt i(t); i!=INVALID; ++i){
 		        colUpperBound(*i, value);
+		      }
+		    }
 		#endif
 		    /// Set the lower and the upper bounds of a column (i.e a variable)
 		    /// The lower and the upper bounds of
 		    /// a variable (column) have to be given by an
 		    /// extended number of type Value, i.e. a finite number of type
 		    /// Value, -\ref INF or \ref INF.
 		    void colBounds(Col c, Value lower, Value upper) {
 		      _setColLowerBound(cols(id(c)),lower);
 		      _setColUpperBound(cols(id(c)),upper);
+		    }
 		    ///\brief Set the lower and the upper bound of several columns
 		    ///(i.e variables) at once
 		    ///
 		    ///This magic function takes a container as its argument
 		    ///and applies the function on all of its elements.
 		    /// The lower and the upper bounds of
 		    /// a variable (column) have to be given by an
 		    /// extended number of type Value, i.e. a finite number of type
 		    /// Value, -\ref INF or \ref INF.
 		#ifdef DOXYGEN
 		    template<class T>
 		    void colBounds(T &t, Value lower, Value upper) { return 0;}
 		#else
 		    template<class T>
 		    typename enable_if<typename T::value_type::LpCol,void>::type
 		    colBounds(T &t, Value lower, Value upper,dummy<0> = 0) {
 		      for(typename T::iterator i=t.begin();i!=t.end();++i) {
 		        colBounds(*i, lower, upper);
+		      }
+		    }
 		    template<class T>
 		    typename enable_if<typename T::value_type::second_type::LpCol, void>::type
 		    colBounds(T &t, Value lower, Value upper,dummy<1> = 1) {
 		      for(typename T::iterator i=t.begin();i!=t.end();++i) {
 		        colBounds(i->second, lower, upper);
+		      }
+		    }
 		    template<class T>
 		    typename enable_if<typename T::MapIt::Value::LpCol, void>::type
 		    colBounds(T &t, Value lower, Value upper,dummy<2> = 2) {
 		      for(typename T::MapIt i(t); i!=INVALID; ++i){
 		        colBounds(*i, lower, upper);
+		      }
+		    }
 		#endif
 		    /// Set the lower bound of a row (i.e a constraint)
 		    /// The lower bound of a constraint (row) has to be given by an
 		    /// extended number of type Value, i.e. a finite number of type
 		    /// Value or -\ref INF.
 		    void rowLowerBound(Row r, Value value) {
 		      _setRowLowerBound(rows(id(r)),value);
+		    }
 		    /// Get the lower bound of a row (i.e a constraint)
 		    /// This function returns the lower bound for row (constraint) \c c
 		    /// (this might be -\ref INF as well).
 		    ///\return The lower bound for row \c r
 		    Value rowLowerBound(Row r) const {
 		      return _getRowLowerBound(rows(id(r)));
+		    }
 		    /// Set the upper bound of a row (i.e a constraint)
 		    /// The upper bound of a constraint (row) has to be given by an
 		    /// extended number of type Value, i.e. a finite number of type
 		    /// Value or -\ref INF.
 		    void rowUpperBound(Row r, Value value) {
 		      _setRowUpperBound(rows(id(r)),value);
+		    }
 		    /// Get the upper bound of a row (i.e a constraint)
 		    /// This function returns the upper bound for row (constraint) \c c
 		    /// (this might be -\ref INF as well).
 		    ///\return The upper bound for row \c r
 		    Value rowUpperBound(Row r) const {
 		      return _getRowUpperBound(rows(id(r)));
+		    }
 		    ///Set an element of the objective function
 		    void objCoeff(Col c, Value v) {_setObjCoeff(cols(id(c)),v); };
 		    ///Get an element of the objective function
 		    Value objCoeff(Col c) const { return _getObjCoeff(cols(id(c))); };
 		    ///Set the objective function
 		    ///\param e is a linear expression of type \ref Expr.
 		    ///
 		    void obj(const Expr& e) {
 		      _setObjCoeffs(ExprIterator(e.comps.begin(), cols),
 		                    ExprIterator(e.comps.end(), cols));
 		      obj_const_comp = *e;
+		    }
 		    ///Get the objective function
 		    ///\return the objective function as a linear expression of type
 		    ///Expr.
 		    Expr obj() const {
 		      Expr e;
 		      _getObjCoeffs(InsertIterator(e.comps, cols));
 		      *e = obj_const_comp;
 		      return e;
+		    }
 		    ///Set the direction of optimization
 		    void sense(Sense sense) { _setSense(sense); }
 		    ///Query the direction of the optimization
 		    Sense sense() const {return _getSense(); }
 		    ///Set the sense to maximization
 		    void max() { _setSense(MAX); }
 		    ///Set the sense to maximization
 		    void min() { _setSense(MIN); }
 		    ///Clears the problem
 		    void clear() { _clear(); }
 		    ///@}
 		  };
 		  /// Addition
 		  ///\relates LpBase::Expr
 		  ///
 		  inline LpBase::Expr operator+(const LpBase::Expr &a, const LpBase::Expr &b) {
 		    LpBase::Expr tmp(a);
 		    tmp+=b;
 		    return tmp;
+		  }
 		  ///Substraction
 		  ///\relates LpBase::Expr
 		  ///
 		  inline LpBase::Expr operator-(const LpBase::Expr &a, const LpBase::Expr &b) {
 		    LpBase::Expr tmp(a);
 		    tmp-=b;
 		    return tmp;
+		  }
 		  ///Multiply with constant
 		  ///\relates LpBase::Expr
 		  ///
 		  inline LpBase::Expr operator*(const LpBase::Expr &a, const LpBase::Value &b) {
 		    LpBase::Expr tmp(a);
 		    tmp*=b;
 		    return tmp;
+		  }
 		  ///Multiply with constant
 		  ///\relates LpBase::Expr
 		  ///
 		  inline LpBase::Expr operator*(const LpBase::Value &a, const LpBase::Expr &b) {
 		    LpBase::Expr tmp(b);
 		    tmp*=a;
 		    return tmp;
+		  }
 		  ///Divide with constant
 		  ///\relates LpBase::Expr
 		  ///
 		  inline LpBase::Expr operator/(const LpBase::Expr &a, const LpBase::Value &b) {
 		    LpBase::Expr tmp(a);
 		    tmp/=b;
 		    return tmp;
+		  }
 		  ///Create constraint
 		  ///\relates LpBase::Constr
 		  ///
 		  inline LpBase::Constr operator<=(const LpBase::Expr &e,
 		                                   const LpBase::Expr &f) {
 		    return LpBase::Constr(0, f - e, LpBase::INF);
+		  }
 		  ///Create constraint
 		  ///\relates LpBase::Constr
 		  ///
 		  inline LpBase::Constr operator<=(const LpBase::Value &e,
 		                                   const LpBase::Expr &f) {
 		    return LpBase::Constr(e, f, LpBase::NaN);
+		  }
 		  ///Create constraint
 		  ///\relates LpBase::Constr
 		  ///
 		  inline LpBase::Constr operator<=(const LpBase::Expr &e,
 		                                   const LpBase::Value &f) {
 		    return LpBase::Constr(- LpBase::INF, e, f);
+		  }
 		  ///Create constraint
 		  ///\relates LpBase::Constr
 		  ///
 		  inline LpBase::Constr operator>=(const LpBase::Expr &e,
 		                                   const LpBase::Expr &f) {
 		    return LpBase::Constr(0, e - f, LpBase::INF);
+		  }
 		  ///Create constraint
 		  ///\relates LpBase::Constr
 		  ///
 		  inline LpBase::Constr operator>=(const LpBase::Value &e,
 		                                   const LpBase::Expr &f) {
 		    return LpBase::Constr(LpBase::NaN, f, e);
+		  }
 		  ///Create constraint
 		  ///\relates LpBase::Constr
 		  ///
 		  inline LpBase::Constr operator>=(const LpBase::Expr &e,
 		                                   const LpBase::Value &f) {
 		    return LpBase::Constr(f, e, LpBase::INF);
+		  }
 		  ///Create constraint
 		  ///\relates LpBase::Constr
 		  ///
 		  inline LpBase::Constr operator==(const LpBase::Expr &e,
 		                                   const LpBase::Value &f) {
 		    return LpBase::Constr(f, e, f);
+		  }
 		  ///Create constraint
 		  ///\relates LpBase::Constr
 		  ///
 		  inline LpBase::Constr operator==(const LpBase::Expr &e,
 		                                   const LpBase::Expr &f) {
 		    return LpBase::Constr(0, f - e, 0);
+		  }
 		  ///Create constraint
 		  ///\relates LpBase::Constr
 		  ///
 		  inline LpBase::Constr operator<=(const LpBase::Value &n,
 		                                   const LpBase::Constr &c) {
 		    LpBase::Constr tmp(c);
-		    LEMON_ASSERT(std::isnan(tmp.lowerBound()), "Wrong LP constraint");
 		    LEMON_ASSERT(isnan(tmp.lowerBound()), "Wrong LP constraint");
 		    tmp.lowerBound()=n;
 		    return tmp;
+		  }
 		  ///Create constraint
 		  ///\relates LpBase::Constr
 		  ///
 		  inline LpBase::Constr operator<=(const LpBase::Constr &c,
 		                                   const LpBase::Value &n)
+		  {
 		    LpBase::Constr tmp(c);
-		    LEMON_ASSERT(std::isnan(tmp.upperBound()), "Wrong LP constraint");
 		    LEMON_ASSERT(isnan(tmp.upperBound()), "Wrong LP constraint");
 		    tmp.upperBound()=n;
 		    return tmp;
+		  }
 		  ///Create constraint
 		  ///\relates LpBase::Constr
 		  ///
 		  inline LpBase::Constr operator>=(const LpBase::Value &n,
 		                                   const LpBase::Constr &c) {
 		    LpBase::Constr tmp(c);
-		    LEMON_ASSERT(std::isnan(tmp.upperBound()), "Wrong LP constraint");
 		    LEMON_ASSERT(isnan(tmp.upperBound()), "Wrong LP constraint");
 		    tmp.upperBound()=n;
 		    return tmp;
+		  }
 		  ///Create constraint
 		  ///\relates LpBase::Constr
 		  ///
 		  inline LpBase::Constr operator>=(const LpBase::Constr &c,
 		                                   const LpBase::Value &n)
+		  {
 		    LpBase::Constr tmp(c);
-		    LEMON_ASSERT(std::isnan(tmp.lowerBound()), "Wrong LP constraint");
 		    LEMON_ASSERT(isnan(tmp.lowerBound()), "Wrong LP constraint");
 		    tmp.lowerBound()=n;
 		    return tmp;
+		  }
 		  ///Addition
 		  ///\relates LpBase::DualExpr
 		  ///
 		  inline LpBase::DualExpr operator+(const LpBase::DualExpr &a,
 		                                    const LpBase::DualExpr &b) {
 		    LpBase::DualExpr tmp(a);
 		    tmp+=b;
 		    return tmp;
+		  }
 		  ///Substraction
 		  ///\relates LpBase::DualExpr
 		  ///
 		  inline LpBase::DualExpr operator-(const LpBase::DualExpr &a,
 		                                    const LpBase::DualExpr &b) {
 		    LpBase::DualExpr tmp(a);
 		    tmp-=b;
 		    return tmp;
+		  }
 		  ///Multiply with constant
 		  ///\relates LpBase::DualExpr
 		  ///
 		  inline LpBase::DualExpr operator*(const LpBase::DualExpr &a,
 		                                    const LpBase::Value &b) {
 		    LpBase::DualExpr tmp(a);
 		    tmp*=b;
 		    return tmp;
+		  }
 		  ///Multiply with constant
 		  ///\relates LpBase::DualExpr
 		  ///
 		  inline LpBase::DualExpr operator*(const LpBase::Value &a,
 		                                    const LpBase::DualExpr &b) {
 		    LpBase::DualExpr tmp(b);
 		    tmp*=a;
 		    return tmp;
+		  }
 		  ///Divide with constant
 		  ///\relates LpBase::DualExpr
 		  ///
 		  inline LpBase::DualExpr operator/(const LpBase::DualExpr &a,
 		                                    const LpBase::Value &b) {
 		    LpBase::DualExpr tmp(a);
 		    tmp/=b;
 		    return tmp;
+		  }
 		  /// \ingroup lp_group
 		  ///
 		  /// \brief Common base class for LP solvers
 		  ///
 		  /// This class is an abstract base class for LP solvers. This class
 		  /// provides a full interface for set and modify an LP problem,
 		  /// solve it and retrieve the solution. You can use one of the
 		  /// descendants as a concrete implementation, or the \c Lp
 		  /// default LP solver. However, if you would like to handle LP
 		  /// solvers as reference or pointer in a generic way, you can use
 		  /// this class directly.
 		  class LpSolver : virtual public LpBase {
 		  public:
 		    /// The problem types for primal and dual problems
 		    enum ProblemType {
 		      ///Feasible solution hasn't been found (but may exist).
 		      UNDEFINED = 0,
 		      ///The problem has no feasible solution
 		      INFEASIBLE = 1,
 		      ///Feasible solution found
 		      FEASIBLE = 2,
 		      ///Optimal solution exists and found
 		      OPTIMAL = 3,
 		      ///The cost function is unbounded
 		      UNBOUNDED = 4
 		    };
 		    ///The basis status of variables
 		    enum VarStatus {
 		      /// The variable is in the basis
 		      BASIC,
 		      /// The variable is free, but not basic
 		      FREE,
 		      /// The variable has active lower bound
 		      LOWER,
 		      /// The variable has active upper bound
 		      UPPER,
 		      /// The variable is non-basic and fixed
 		      FIXED
 		    };
 		  protected:
 		    virtual SolveExitStatus _solve() = 0;
 		    virtual Value _getPrimal(int i) const = 0;
 		    virtual Value _getDual(int i) const = 0;
 		    virtual Value _getPrimalRay(int i) const = 0;
 		    virtual Value _getDualRay(int i) const = 0;
 		    virtual Value _getPrimalValue() const = 0;
 		    virtual VarStatus _getColStatus(int i) const = 0;
 		    virtual VarStatus _getRowStatus(int i) const = 0;
 		    virtual ProblemType _getPrimalType() const = 0;
 		    virtual ProblemType _getDualType() const = 0;
 		  public:
 		    ///\name Solve the LP
 		    ///@{
 		    ///\e Solve the LP problem at hand
 		    ///
 		    ///\return The result of the optimization procedure. Possible
 		    ///values and their meanings can be found in the documentation of
 		    ///\ref SolveExitStatus.
 		    SolveExitStatus solve() { return _solve(); }
 		    ///@}
 		    ///\name Obtain the solution
 		    ///@{
 		    /// The type of the primal problem
 		    ProblemType primalType() const {
 		      return _getPrimalType();
+		    }
 		    /// The type of the dual problem
 		    ProblemType dualType() const {
 		      return _getDualType();
+		    }
 		    /// Return the primal value of the column
 		    /// Return the primal value of the column.
 		    /// \pre The problem is solved.
 		    Value primal(Col c) const { return _getPrimal(cols(id(c))); }
 		    /// Return the primal value of the expression
 		    /// Return the primal value of the expression, i.e. the dot
 		    /// product of the primal solution and the expression.
 		    /// \pre The problem is solved.
 		    Value primal(const Expr& e) const {
 		      double res = *e;
 		      for (Expr::ConstCoeffIt c(e); c != INVALID; ++c) {
 		        res += *c * primal(c);
+		      }
 		      return res;
+		    }
 		    /// Returns a component of the primal ray
 		    /// The primal ray is solution of the modified primal problem,
 		    /// where we change each finite bound to 0, and we looking for a
 		    /// negative objective value in case of minimization, and positive
 		    /// objective value for maximization. If there is such solution,
 		    /// that proofs the unsolvability of the dual problem, and if a
 		    /// feasible primal solution exists, then the unboundness of
 		    /// primal problem.
 		    ///
 		    /// \pre The problem is solved and the dual problem is infeasible.
 		    /// \note Some solvers does not provide primal ray calculation
 		    /// functions.
 		    Value primalRay(Col c) const { return _getPrimalRay(cols(id(c))); }
 		    /// Return the dual value of the row
 		    /// Return the dual value of the row.
 		    /// \pre The problem is solved.
 		    Value dual(Row r) const { return _getDual(rows(id(r))); }
 		    /// Return the dual value of the dual expression
 		    /// Return the dual value of the dual expression, i.e. the dot
 		    /// product of the dual solution and the dual expression.
 		    /// \pre The problem is solved.
 		    Value dual(const DualExpr& e) const {
 		      double res = 0.0;
 		      for (DualExpr::ConstCoeffIt r(e); r != INVALID; ++r) {
 		        res += *r * dual(r);
+		      }
 		      return res;
+		    }
 		    /// Returns a component of the dual ray
 		    /// The dual ray is solution of the modified primal problem, where
 		    /// we change each finite bound to 0 (i.e. the objective function
 		    /// coefficients in the primal problem), and we looking for a
 		    /// ositive objective value. If there is such solution, that
 		    /// proofs the unsolvability of the primal problem, and if a
 		    /// feasible dual solution exists, then the unboundness of
 		    /// dual problem.
 		    ///
 		    /// \pre The problem is solved and the primal problem is infeasible.
 		    /// \note Some solvers does not provide dual ray calculation
 		    /// functions.
 		    Value dualRay(Row r) const { return _getDualRay(rows(id(r))); }
 		    /// Return the basis status of the column
 		    /// \see VarStatus
 		    VarStatus colStatus(Col c) const { return _getColStatus(cols(id(c))); }
 		    /// Return the basis status of the row
 		    /// \see VarStatus
 		    VarStatus rowStatus(Row r) const { return _getRowStatus(rows(id(r))); }
 		    ///The value of the objective function
 		    ///\return
 		    ///- \ref INF or -\ref INF means either infeasibility or unboundedness
 		    /// of the primal problem, depending on whether we minimize or maximize.
 		    ///- \ref NaN if no primal solution is found.
 		    ///- The (finite) objective value if an optimal solution is found.
 		    Value primal() const { return _getPrimalValue()+obj_const_comp;}
 		    ///@}
 		    LpSolver* newSolver() {return _newSolver();}
 		    LpSolver* cloneSolver() {return _cloneSolver();}
 		  protected:
 		    virtual LpSolver* _newSolver() const = 0;
 		    virtual LpSolver* _cloneSolver() const = 0;
 		  };
 		  /// \ingroup lp_group
 		  ///
 		  /// \brief Common base class for MIP solvers
 		  ///
 		  /// This class is an abstract base class for MIP solvers. This class
 		  /// provides a full interface for set and modify an MIP problem,
 		  /// solve it and retrieve the solution. You can use one of the
 		  /// descendants as a concrete implementation, or the \c Lp
 		  /// default MIP solver. However, if you would like to handle MIP
 		  /// solvers as reference or pointer in a generic way, you can use
 		  /// this class directly.
 		  class MipSolver : virtual public LpBase {
 		  public:
 		    /// The problem types for MIP problems
 		    enum ProblemType {
 		      ///Feasible solution hasn't been found (but may exist).
 		      UNDEFINED = 0,
 		      ///The problem has no feasible solution
 		      INFEASIBLE = 1,
 		      ///Feasible solution found
 		      FEASIBLE = 2,
 		      ///Optimal solution exists and found
 		      OPTIMAL = 3,
 		      ///The cost function is unbounded
 		      ///
 		      ///The Mip or at least the relaxed problem is unbounded
 		      UNBOUNDED = 4
 		    };
 		    ///\name Solve the MIP
 		    ///@{
 		    /// Solve the MIP problem at hand
 		    ///
 		    ///\return The result of the optimization procedure. Possible
 		    ///values and their meanings can be found in the documentation of
 		    ///\ref SolveExitStatus.
 		    SolveExitStatus solve() { return _solve(); }
 		    ///@}
 		    ///\name Setting column type
 		    ///@{
 		    ///Possible variable (column) types (e.g. real, integer, binary etc.)
 		    enum ColTypes {
 		      ///Continuous variable (default)
 		      REAL = 0,
 		      ///Integer variable
 		      INTEGER = 1
 		    };
 		    ///Sets the type of the given column to the given type
 		    ///Sets the type of the given column to the given type.
 		    ///
 		    void colType(Col c, ColTypes col_type) {
 		      _setColType(cols(id(c)),col_type);
+		    }
 		    ///Gives back the type of the column.
 		    ///Gives back the type of the column.
 		    ///
 		    ColTypes colType(Col c) const {
 		      return _getColType(cols(id(c)));
+		    }
 		    ///@}
 		    ///\name Obtain the solution
 		    ///@{
 		    /// The type of the MIP problem
 		    ProblemType type() const {
 		      return _getType();
+		    }
 		    /// Return the value of the row in the solution
 		    ///  Return the value of the row in the solution.
 		    /// \pre The problem is solved.
 		    Value sol(Col c) const { return _getSol(cols(id(c))); }
 		    /// Return the value of the expression in the solution
 		    /// Return the value of the expression in the solution, i.e. the
 		    /// dot product of the solution and the expression.
 		    /// \pre The problem is solved.
 		    Value sol(const Expr& e) const {
 		      double res = *e;
 		      for (Expr::ConstCoeffIt c(e); c != INVALID; ++c) {
 		        res += *c * sol(c);
+		      }
 		      return res;
+		    }
 		    ///The value of the objective function
 		    ///\return
 		    ///- \ref INF or -\ref INF means either infeasibility or unboundedness
 		    /// of the problem, depending on whether we minimize or maximize.
 		    ///- \ref NaN if no primal solution is found.
 		    ///- The (finite) objective value if an optimal solution is found.
 		    Value solValue() const { return _getSolValue()+obj_const_comp;}
 		    ///@}
 		  protected:
 		    virtual SolveExitStatus _solve() = 0;
 		    virtual ColTypes _getColType(int col) const = 0;
 		    virtual void _setColType(int col, ColTypes col_type) = 0;
 		    virtual ProblemType _getType() const = 0;
 		    virtual Value _getSol(int i) const = 0;
 		    virtual Value _getSolValue() const = 0;
 		  public:
 		    MipSolver* newSolver() {return _newSolver();}
 		    MipSolver* cloneSolver() {return _cloneSolver();}
 		  protected:
 		    virtual MipSolver* _newSolver() const = 0;
 		    virtual MipSolver* _cloneSolver() const = 0;
 		  };
 		} //namespace lemon
 		#endif //LEMON_LP_BASE_H

lemon/math.h

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 		/* -*- mode: C++; indent-tabs-mode: nil; -*-
+		 *
 		 * This file is a part of LEMON, a generic C++ optimization library.
+		 *
 		 * Copyright (C) 2003-2009
 		 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
 		 * (Egervary Research Group on Combinatorial Optimization, EGRES).
+		 *
 		 * Permission to use, modify and distribute this software is granted
 		 * provided that this copyright notice appears in all copies. For
 		 * precise terms see the accompanying LICENSE file.
+		 *
 		 * This software is provided "AS IS" with no warranty of any kind,
 		 * express or implied, and with no claim as to its suitability for any
 		 * purpose.
+		 *
 		 */
 		#ifndef LEMON_MATH_H
 		#define LEMON_MATH_H
 		///\ingroup misc
 		///\file
 		///\brief Some extensions to the standard \c cmath library.
 		///
 		///Some extensions to the standard \c cmath library.
 		///
 		///This file includes the standard math library (cmath).
 		#include<cmath>
 		namespace lemon {
 		  /// \addtogroup misc
 		  /// @{
 		  /// The Euler constant
 		  const long double E       = 2.7182818284590452353602874713526625L;
 		  /// log_2(e)
 		  const long double LOG2E   = 1.4426950408889634073599246810018921L;
 		  /// log_10(e)
 		  const long double LOG10E  = 0.4342944819032518276511289189166051L;
 		  /// ln(2)
 		  const long double LN2     = 0.6931471805599453094172321214581766L;
 		  /// ln(10)
 		  const long double LN10    = 2.3025850929940456840179914546843642L;
 		  /// pi
 		  const long double PI      = 3.1415926535897932384626433832795029L;
 		  /// pi/2
 		  const long double PI_2    = 1.5707963267948966192313216916397514L;
 		  /// pi/4
 		  const long double PI_4    = 0.7853981633974483096156608458198757L;
 		  /// sqrt(2)
 		  const long double SQRT2   = 1.4142135623730950488016887242096981L;
 		  /// 1/sqrt(2)
 		  const long double SQRT1_2 = 0.7071067811865475244008443621048490L;
 		  ///Check whether the parameter is NaN or not
 		  ///This function checks whether the parameter is NaN or not.
 		  ///Is should be equivalent with std::isnan(), but it is not
 		  ///provided by all compilers.
 		  inline bool isnan(double v)
+		    {
 		      return v!=v;
+		    }
 		  /// @}
 		} //namespace lemon
 		#endif //LEMON_TOLERANCE_H

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