86       /// Constructor.  | 
    86       /// Constructor.  | 
    87       /// \param map A map that assigns \c int values to keys of type  | 
    87       /// \param map A map that assigns \c int values to keys of type  | 
    88       /// \c Item. It is used internally by the heap implementations to  | 
    88       /// \c Item. It is used internally by the heap implementations to  | 
    89       /// handle the cross references. The assigned value must be  | 
    89       /// handle the cross references. The assigned value must be  | 
    90       /// \c PRE_HEAP (<tt>-1</tt>) for each item.  | 
    90       /// \c PRE_HEAP (<tt>-1</tt>) for each item.  | 
         | 
    91 #ifdef DOXYGEN  | 
    91       explicit Heap(ItemIntMap &map) {} | 
    92       explicit Heap(ItemIntMap &map) {} | 
         | 
    93 #else  | 
         | 
    94       explicit Heap(ItemIntMap&) {} | 
         | 
    95 #endif        | 
    92   | 
    96   | 
    93       /// \brief Constructor.  | 
    97       /// \brief Constructor.  | 
    94       ///  | 
    98       ///  | 
    95       /// Constructor.  | 
    99       /// Constructor.  | 
    96       /// \param map A map that assigns \c int values to keys of type  | 
   100       /// \param map A map that assigns \c int values to keys of type  | 
    97       /// \c Item. It is used internally by the heap implementations to  | 
   101       /// \c Item. It is used internally by the heap implementations to  | 
    98       /// handle the cross references. The assigned value must be  | 
   102       /// handle the cross references. The assigned value must be  | 
    99       /// \c PRE_HEAP (<tt>-1</tt>) for each item.  | 
   103       /// \c PRE_HEAP (<tt>-1</tt>) for each item.  | 
   100       /// \param comp The function object used for comparing the priorities.  | 
   104       /// \param comp The function object used for comparing the priorities.  | 
         | 
   105 #ifdef DOXYGEN  | 
   101       explicit Heap(ItemIntMap &map, const CMP &comp) {} | 
   106       explicit Heap(ItemIntMap &map, const CMP &comp) {} | 
         | 
   107 #else  | 
         | 
   108       explicit Heap(ItemIntMap&, const CMP&) {} | 
         | 
   109 #endif        | 
   102   | 
   110   | 
   103       /// \brief The number of items stored in the heap.  | 
   111       /// \brief The number of items stored in the heap.  | 
   104       ///  | 
   112       ///  | 
   105       /// This function returns the number of items stored in the heap.  | 
   113       /// This function returns the number of items stored in the heap.  | 
   106       int size() const { return 0; } | 
   114       int size() const { return 0; } | 
   124       /// This function inserts the given item into the heap with the  | 
   132       /// This function inserts the given item into the heap with the  | 
   125       /// given priority.  | 
   133       /// given priority.  | 
   126       /// \param i The item to insert.  | 
   134       /// \param i The item to insert.  | 
   127       /// \param p The priority of the item.  | 
   135       /// \param p The priority of the item.  | 
   128       /// \pre \e i must not be stored in the heap.  | 
   136       /// \pre \e i must not be stored in the heap.  | 
         | 
   137 #ifdef DOXYGEN  | 
   129       void push(const Item &i, const Prio &p) {} | 
   138       void push(const Item &i, const Prio &p) {} | 
         | 
   139 #else  | 
         | 
   140       void push(const Item&, const Prio&) {} | 
         | 
   141 #endif        | 
   130   | 
   142   | 
   131       /// \brief Return the item having minimum priority.  | 
   143       /// \brief Return the item having minimum priority.  | 
   132       ///  | 
   144       ///  | 
   133       /// This function returns the item having minimum priority.  | 
   145       /// This function returns the item having minimum priority.  | 
   134       /// \pre The heap must be non-empty.  | 
   146       /// \pre The heap must be non-empty.  | 
   135       Item top() const {} | 
   147       Item top() const { return Item(); } | 
   136   | 
   148   | 
   137       /// \brief The minimum priority.  | 
   149       /// \brief The minimum priority.  | 
   138       ///  | 
   150       ///  | 
   139       /// This function returns the minimum priority.  | 
   151       /// This function returns the minimum priority.  | 
   140       /// \pre The heap must be non-empty.  | 
   152       /// \pre The heap must be non-empty.  | 
   141       Prio prio() const {} | 
   153       Prio prio() const { return Prio(); } | 
   142   | 
   154   | 
   143       /// \brief Remove the item having minimum priority.  | 
   155       /// \brief Remove the item having minimum priority.  | 
   144       ///  | 
   156       ///  | 
   145       /// This function removes the item having minimum priority.  | 
   157       /// This function removes the item having minimum priority.  | 
   146       /// \pre The heap must be non-empty.  | 
   158       /// \pre The heap must be non-empty.  | 
   150       ///  | 
   162       ///  | 
   151       /// This function removes the given item from the heap if it is  | 
   163       /// This function removes the given item from the heap if it is  | 
   152       /// already stored.  | 
   164       /// already stored.  | 
   153       /// \param i The item to delete.  | 
   165       /// \param i The item to delete.  | 
   154       /// \pre \e i must be in the heap.  | 
   166       /// \pre \e i must be in the heap.  | 
         | 
   167 #ifdef DOXYGEN  | 
   155       void erase(const Item &i) {} | 
   168       void erase(const Item &i) {} | 
         | 
   169 #else  | 
         | 
   170       void erase(const Item&) {} | 
         | 
   171 #endif        | 
   156   | 
   172   | 
   157       /// \brief The priority of the given item.  | 
   173       /// \brief The priority of the given item.  | 
   158       ///  | 
   174       ///  | 
   159       /// This function returns the priority of the given item.  | 
   175       /// This function returns the priority of the given item.  | 
   160       /// \param i The item.  | 
   176       /// \param i The item.  | 
   161       /// \pre \e i must be in the heap.  | 
   177       /// \pre \e i must be in the heap.  | 
         | 
   178 #ifdef DOXYGEN  | 
   162       Prio operator[](const Item &i) const {} | 
   179       Prio operator[](const Item &i) const {} | 
         | 
   180 #else  | 
         | 
   181       Prio operator[](const Item&) const { return Prio(); } | 
         | 
   182 #endif        | 
   163   | 
   183   | 
   164       /// \brief Set the priority of an item or insert it, if it is  | 
   184       /// \brief Set the priority of an item or insert it, if it is  | 
   165       /// not stored in the heap.  | 
   185       /// not stored in the heap.  | 
   166       ///  | 
   186       ///  | 
   167       /// This method sets the priority of the given item if it is  | 
   187       /// This method sets the priority of the given item if it is  | 
   168       /// already stored in the heap. Otherwise it inserts the given  | 
   188       /// already stored in the heap. Otherwise it inserts the given  | 
   169       /// item into the heap with the given priority.  | 
   189       /// item into the heap with the given priority.  | 
   170       ///  | 
   190       ///  | 
   171       /// \param i The item.  | 
   191       /// \param i The item.  | 
   172       /// \param p The priority.  | 
   192       /// \param p The priority.  | 
         | 
   193 #ifdef DOXYGEN  | 
   173       void set(const Item &i, const Prio &p) {} | 
   194       void set(const Item &i, const Prio &p) {} | 
         | 
   195 #else  | 
         | 
   196       void set(const Item&, const Prio&) {} | 
         | 
   197 #endif        | 
   174   | 
   198   | 
   175       /// \brief Decrease the priority of an item to the given value.  | 
   199       /// \brief Decrease the priority of an item to the given value.  | 
   176       ///  | 
   200       ///  | 
   177       /// This function decreases the priority of an item to the given value.  | 
   201       /// This function decreases the priority of an item to the given value.  | 
   178       /// \param i The item.  | 
   202       /// \param i The item.  | 
   179       /// \param p The priority.  | 
   203       /// \param p The priority.  | 
   180       /// \pre \e i must be stored in the heap with priority at least \e p.  | 
   204       /// \pre \e i must be stored in the heap with priority at least \e p.  | 
         | 
   205 #ifdef DOXYGEN  | 
   181       void decrease(const Item &i, const Prio &p) {} | 
   206       void decrease(const Item &i, const Prio &p) {} | 
         | 
   207 #else  | 
         | 
   208       void decrease(const Item&, const Prio&) {} | 
         | 
   209 #endif        | 
   182   | 
   210   | 
   183       /// \brief Increase the priority of an item to the given value.  | 
   211       /// \brief Increase the priority of an item to the given value.  | 
   184       ///  | 
   212       ///  | 
   185       /// This function increases the priority of an item to the given value.  | 
   213       /// This function increases the priority of an item to the given value.  | 
   186       /// \param i The item.  | 
   214       /// \param i The item.  | 
   187       /// \param p The priority.  | 
   215       /// \param p The priority.  | 
   188       /// \pre \e i must be stored in the heap with priority at most \e p.  | 
   216       /// \pre \e i must be stored in the heap with priority at most \e p.  | 
         | 
   217 #ifdef DOXYGEN  | 
   189       void increase(const Item &i, const Prio &p) {} | 
   218       void increase(const Item &i, const Prio &p) {} | 
         | 
   219 #else  | 
         | 
   220       void increase(const Item&, const Prio&) {} | 
         | 
   221 #endif        | 
   190   | 
   222   | 
   191       /// \brief Return the state of an item.  | 
   223       /// \brief Return the state of an item.  | 
   192       ///  | 
   224       ///  | 
   193       /// This method returns \c PRE_HEAP if the given item has never  | 
   225       /// This method returns \c PRE_HEAP if the given item has never  | 
   194       /// been in the heap, \c IN_HEAP if it is in the heap at the moment,  | 
   226       /// been in the heap, \c IN_HEAP if it is in the heap at the moment,  | 
   195       /// and \c POST_HEAP otherwise.  | 
   227       /// and \c POST_HEAP otherwise.  | 
   196       /// In the latter case it is possible that the item will get back  | 
   228       /// In the latter case it is possible that the item will get back  | 
   197       /// to the heap again.  | 
   229       /// to the heap again.  | 
   198       /// \param i The item.  | 
   230       /// \param i The item.  | 
         | 
   231 #ifdef DOXYGEN  | 
   199       State state(const Item &i) const {} | 
   232       State state(const Item &i) const {} | 
         | 
   233 #else  | 
         | 
   234       State state(const Item&) const { return PRE_HEAP; } | 
         | 
   235 #endif        | 
   200   | 
   236   | 
   201       /// \brief Set the state of an item in the heap.  | 
   237       /// \brief Set the state of an item in the heap.  | 
   202       ///  | 
   238       ///  | 
   203       /// This function sets the state of the given item in the heap.  | 
   239       /// This function sets the state of the given item in the heap.  | 
   204       /// It can be used to manually clear the heap when it is important  | 
   240       /// It can be used to manually clear the heap when it is important  | 
   205       /// to achive better time complexity.  | 
   241       /// to achive better time complexity.  | 
   206       /// \param i The item.  | 
   242       /// \param i The item.  | 
   207       /// \param st The state. It should not be \c IN_HEAP.  | 
   243       /// \param st The state. It should not be \c IN_HEAP.  | 
         | 
   244 #ifdef DOXYGEN  | 
   208       void state(const Item& i, State st) {} | 
   245       void state(const Item& i, State st) {} | 
         | 
   246 #else  | 
         | 
   247       void state(const Item&, State) {} | 
         | 
   248 #endif        | 
   209   | 
   249   | 
   210   | 
   250   | 
   211       template <typename _Heap>  | 
   251       template <typename _Heap>  | 
   212       struct Constraints { | 
   252       struct Constraints { | 
   213       public:  | 
   253       public:  |