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src/work/athos/lp/lin_expr.h
changeset 1291 16cde3e1aa9f
parent 1259 11a09f1319b3
equal deleted inserted replaced
1:4fbb456e4c4c 2:b0d90b35aa71 
    16 
    16 
    17 #ifndef LEMON_LIN_EXPR_H
 
    17 #ifndef LEMON_LIN_EXPR_H
 
    18 #define LEMON_LIN_EXPR_H
 
    18 #define LEMON_LIN_EXPR_H
 
    19 
    19 
    20 #include<vector>
 
    20 #include<vector>
 
    21 
       
    22 
       
    23 #include<map>
 
    21 #include<map>
 
    24 
    22 #include<lemon/utility.h>
 
    25 ///\file
 
    23 ///\file
 
    26 ///\brief Classes to handle linear expressions
 
    24 ///\brief Classes to handle linear expressions
 
    27 namespace lemon {
 
    25 namespace lemon {
 
    28   
    26   
    29   /// Class to handle sparse linear expressions
 
    27   /// Class to handle sparse linear expressions
 
    37   protected:
 
    35   protected:
 
    38     typedef typename std::map<_V, typename _V::ExprValue> Base;
 
    36     typedef typename std::map<_V, typename _V::ExprValue> Base;
 
    39 
    37 
    40     Coeff const_comp;
 
    38     Coeff const_comp;
 
    41   public:
 
    39   public:
 
       
    40     typedef True IsLinExpression;
 
    42     ///\e
 
    41     ///\e
 
    43     SparseLinExpr() : Base(), const_comp(0) { }
 
    42     SparseLinExpr() : Base(), const_comp(0) { }
 
    44     ///\e
 
    43     ///\e
 
    45     SparseLinExpr(const Var &v) : const_comp(0) {
 
    44     SparseLinExpr(const Var &v) : const_comp(0) {
 
    46       Base::insert(std::make_pair(v, 1));
 
    45       Base::insert(std::make_pair(v, 1));
 
   260   ///\e
 
   259   ///\e
 
   261   
   260   
   262   ///\relates SparseLinExpr
 
   261   ///\relates SparseLinExpr
 
   263   ///
 
   262   ///
 
   264   template <class V>
 
   263   template <class V>
 
       
   264   SparseLinExpr<V> operator+(const V &v,const typename V::ExprValue &c) {
 
       
   265     SparseLinExpr<V> tmp(v);
 
       
   266     tmp.constComp()=c;
 
       
   267     return tmp;
 
       
   268   }
 
       
   269 
       
   270   ///\e
 
       
   271   
       
   272   ///\relates SparseLinExpr
 
       
   273   ///
 
       
   274   template <class V>
 
       
   275   SparseLinExpr<V> operator-(const V &v,const typename V::ExprValue &c) {
 
       
   276     SparseLinExpr<V> tmp(v);
 
       
   277     tmp.constComp()=-c;
 
       
   278     return tmp;
 
       
   279   }
 
       
   280 
       
   281   ///\e
 
       
   282   
       
   283   ///\relates SparseLinExpr
 
       
   284   ///
 
       
   285   template <class V>
 
       
   286   SparseLinExpr<V> operator+(const typename V::ExprValue &c,const V &v) {
 
       
   287     SparseLinExpr<V> tmp(v);
 
       
   288     tmp.constComp()=c;
 
       
   289     return tmp;
 
       
   290   }
 
       
   291 
       
   292   ///\e
 
       
   293   
       
   294   ///\relates SparseLinExpr
 
       
   295   ///
 
       
   296   template <class V>
 
       
   297   SparseLinExpr<V> operator-(const typename V::ExprValue &c,const V &v) {
 
       
   298     SparseLinExpr<V> tmp(c);
 
       
   299     tmp[v]=-1;
 
       
   300     return tmp;
 
       
   301   }
 
       
   302 
       
   303   ///\e
 
       
   304   
       
   305   ///\relates SparseLinExpr
 
       
   306   ///
 
       
   307   template <class V>
 
   265   SparseLinExpr<V> operator+(const V &v1,const V &v2) {
 
   308   SparseLinExpr<V> operator+(const V &v1,const V &v2) {
 
   266     SparseLinExpr<V> tmp(v1);
 
   309     SparseLinExpr<V> tmp(v1);
 
   267     tmp[v2]+=1;
 
   310     tmp[v2]+=1;
 
   268     return tmp;
 
   311     return tmp;
 
   269   }
 
   312   }
 
   300     tmp[v]=1/c;
 
   343     tmp[v]=1/c;
 
   301     return tmp;
 
   344     return tmp;
 
   302   }
 
   345   }
 
   303 
   346 
   304 
   347 
       
   348   //////////////////////////////////////////////////////////////////////
 
       
   349   /// Constraints
 
       
   350   //////////////////////////////////////////////////////////////////////
 
       
   351   
       
   352   template <class E>
 
       
   353   class LinConstr
 
       
   354   {
 
       
   355   public:
 
       
   356     typedef E Expr;
 
       
   357     typedef typename E::Var Var;
 
       
   358     typedef typename E::Coeff Coeff;
 
       
   359     
       
   360     static const Coeff INF;
 
       
   361     static const Coeff NaN;
 
       
   362 //     static const Coeff INF=0;
 
       
   363 //     static const Coeff NaN=1;
 
       
   364 
       
   365     Expr expr;
 
       
   366     Coeff lb,ub;
 
       
   367     
       
   368     LinConstr() : expr(), lb(NaN), ub(NaN) {}
 
       
   369     LinConstr(Coeff _lb,const Expr &e,Coeff _ub) :
 
       
   370       expr(e), lb(_lb), ub(_ub) {}
 
       
   371     LinConstr(const Expr &e,Coeff _ub) : 
       
   372       expr(e), lb(NaN), ub(_ub) {}
 
       
   373     LinConstr(Coeff _lb,const Expr &e) :
 
       
   374       expr(e), lb(_lb), ub(NaN) {}
 
       
   375   };
 
       
   376 
       
   377   template<class E>
 
       
   378   const typename LinConstr<E>::Coeff LinConstr<E>::INF=
 
       
   379     std::numeric_limits<Coeff>::infinity();
 
       
   380   template<class E>
 
       
   381   const typename LinConstr<E>::Coeff LinConstr<E>::NaN=
 
       
   382     std::numeric_limits<Coeff>::quiet_NaN();
 
       
   383 
       
   384   
       
   385   template<class E>
 
       
   386   typename enable_if<typename E::IsLinExpression, LinConstr<E> >::type
 
       
   387   operator<=(const E &e,const E &f) 
       
   388   {
 
       
   389     return LinConstr<E>(-LinConstr<E>::INF,e-f,0);
 
       
   390   }
 
       
   391 
       
   392   template<class E>
 
       
   393   typename enable_if<typename E::IsLinExpression, LinConstr<E> >::type
 
       
   394   operator>=(const E &e,const E &f) 
       
   395   {
 
       
   396     return LinConstr<E>(-LinConstr<E>::INF,f-e,0);
 
       
   397   }
 
       
   398 
       
   399   template<class E>
 
       
   400   typename enable_if<typename E::IsLinExpression, LinConstr<E> >::type
 
       
   401   operator==(const E &e,const E &f) 
       
   402   {
 
       
   403     return LinConstr<E>(0,e-f,0);
 
       
   404   }
 
       
   405   
       
   406   //////////////////////////////
 
       
   407 
       
   408   template<class E>
 
       
   409   typename enable_if<typename E::IsLinExpression, LinConstr<E> >::type
 
       
   410   operator<=(const E &e,const typename E::Coeff &n) 
       
   411   {
 
       
   412     return LinConstr<E>(e,n);
 
       
   413   }
 
       
   414 
       
   415   template<class E>
 
       
   416   typename enable_if<typename E::IsLinExpression, LinConstr<E> >::type
 
       
   417   operator>=(const E &e,const typename E::Coeff &n) 
       
   418   {
 
       
   419     return LinConstr<E>(n,e);
 
       
   420   }
 
       
   421 
       
   422   template<class E>
 
       
   423   typename enable_if<typename E::IsLinExpression, LinConstr<E> >::type
 
       
   424   operator==(const E &e,const typename E::Coeff &n) 
       
   425   {
 
       
   426     return LinConstr<E>(n,e,n);
 
       
   427   }
 
       
   428 
       
   429   //////////////////////////////
 
       
   430 
       
   431   template<class E>
 
       
   432   typename enable_if<typename E::IsLinExpression, LinConstr<E> >::type
 
       
   433   operator<=(const typename E::Coeff &n,const E &e) 
       
   434   {
 
       
   435     return LinConstr<E>(n,e);
 
       
   436   }
 
       
   437 
       
   438   template<class E>
 
       
   439   typename enable_if<typename E::IsLinExpression, LinConstr<E> >::type
 
       
   440   operator>=(const typename E::Coeff &n,const E &e) 
       
   441   {
 
       
   442     return LinConstr<E>(e,n);
 
       
   443   }
 
       
   444 
       
   445   template<class E>
 
       
   446   typename enable_if<typename E::IsLinExpression, LinConstr<E> >::type
 
       
   447   operator==(const typename E::Coeff &n,const E &e) 
       
   448   {
 
       
   449     return LinConstr<E>(n,e,n);
 
       
   450   }
 
       
   451 
       
   452   //////////////////////////////
 
       
   453 
       
   454   template<class E>
 
       
   455   typename enable_if<typename E::IsLinExpression, LinConstr<E> >::type
 
       
   456   operator<=(const typename E::Coeff &n,const LinConstr<E> &c) 
       
   457   {
 
       
   458     LinConstr<E> tmp(c);
 
       
   459     if(tmp.lb!=tmp.NaN) throw LogicError();
 
       
   460     else tmp.lb=n;
 
       
   461     return tmp;
 
       
   462   }
 
       
   463 
       
   464   template<class E>
 
       
   465   typename enable_if<typename E::IsLinExpression, LinConstr<E> >::type
 
       
   466   operator>=(const typename E::Coeff &n,const LinConstr<E> &c) 
       
   467   {
 
       
   468     LinConstr<E> tmp(c);
 
       
   469     if(tmp.ub!=tmp.NaN) throw LogicError();
 
       
   470     else tmp.ub=n;
 
       
   471     return tmp;
 
       
   472   }
 
       
   473 
       
   474   template<class E>
 
       
   475   typename enable_if<typename E::IsLinExpression, LinConstr<E> >::type
 
       
   476   operator<=(const LinConstr<E> &c,const typename E::Coeff &n) 
       
   477   {
 
       
   478     LinConstr<E> tmp(c);
 
       
   479     if(tmp.ub!=tmp.NaN) throw LogicError();
 
       
   480     else tmp.ub=n;
 
       
   481     return tmp;
 
       
   482   }
 
       
   483 
       
   484   template<class E>
 
       
   485   typename enable_if<typename E::IsLinExpression, LinConstr<E> >::type
 
       
   486   operator>=(const LinConstr<E> &c,const typename E::Coeff &n) 
       
   487   {
 
       
   488     LinConstr<E> tmp(c);
 
       
   489     if(tmp.lb!=tmp.NaN) throw LogicError();
 
       
   490     else tmp.lb=n;
 
       
   491     return tmp;
 
       
   492   }
 
       
   493 
       
   494   
       
   495 
   305 } //namespace lemon
 
   496 } //namespace lemon
 
   306 
   497 
   307 #endif //LEMON_LIN_EXPR_H
 
   498 #endif //LEMON_LIN_EXPR_H
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