lemon/bits/base_extender.h
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     1 /* -*- C++ -*-
       
     2  *
       
     3  * This file is a part of LEMON, a generic C++ optimization library
       
     4  *
       
     5  * Copyright (C) 2003-2007
       
     6  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
       
     7  * (Egervary Research Group on Combinatorial Optimization, EGRES).
       
     8  *
       
     9  * Permission to use, modify and distribute this software is granted
       
    10  * provided that this copyright notice appears in all copies. For
       
    11  * precise terms see the accompanying LICENSE file.
       
    12  *
       
    13  * This software is provided "AS IS" with no warranty of any kind,
       
    14  * express or implied, and with no claim as to its suitability for any
       
    15  * purpose.
       
    16  *
       
    17  */
       
    18 
       
    19 #ifndef LEMON_BITS_BASE_EXTENDER_H
       
    20 #define LEMON_BITS_BASE_EXTENDER_H
       
    21 
       
    22 #include <lemon/bits/invalid.h>
       
    23 #include <lemon/error.h>
       
    24 
       
    25 #include <lemon/bits/map_extender.h>
       
    26 #include <lemon/bits/default_map.h>
       
    27 
       
    28 #include <lemon/concept_check.h>
       
    29 #include <lemon/concepts/maps.h>
       
    30 
       
    31 ///\ingroup digraphbits
       
    32 ///\file
       
    33 ///\brief Extenders for the digraph types
       
    34 namespace lemon {
       
    35 
       
    36   /// \ingroup digraphbits
       
    37   ///
       
    38   /// \brief BaseDigraph to BaseGraph extender
       
    39   template <typename Base>
       
    40   class UndirDigraphExtender : public Base {
       
    41 
       
    42   public:
       
    43 
       
    44     typedef Base Parent;
       
    45     typedef typename Parent::Arc Edge;
       
    46     typedef typename Parent::Node Node;
       
    47 
       
    48     typedef True UndirectedTag;
       
    49 
       
    50     class Arc : public Edge {
       
    51       friend class UndirDigraphExtender;
       
    52 
       
    53     protected:
       
    54       bool forward;
       
    55 
       
    56       Arc(const Edge &ue, bool _forward) :
       
    57         Edge(ue), forward(_forward) {}
       
    58 
       
    59     public:
       
    60       Arc() {}
       
    61 
       
    62       /// Invalid arc constructor
       
    63       Arc(Invalid i) : Edge(i), forward(true) {}
       
    64 
       
    65       bool operator==(const Arc &that) const {
       
    66 	return forward==that.forward && Edge(*this)==Edge(that);
       
    67       }
       
    68       bool operator!=(const Arc &that) const {
       
    69 	return forward!=that.forward || Edge(*this)!=Edge(that);
       
    70       }
       
    71       bool operator<(const Arc &that) const {
       
    72 	return forward<that.forward ||
       
    73 	  (!(that.forward<forward) && Edge(*this)<Edge(that));
       
    74       }
       
    75     };
       
    76 
       
    77 
       
    78 
       
    79     using Parent::source;
       
    80 
       
    81     /// Source of the given Arc.
       
    82     Node source(const Arc &e) const {
       
    83       return e.forward ? Parent::source(e) : Parent::target(e);
       
    84     }
       
    85 
       
    86     using Parent::target;
       
    87 
       
    88     /// Target of the given Arc.
       
    89     Node target(const Arc &e) const {
       
    90       return e.forward ? Parent::target(e) : Parent::source(e);
       
    91     }
       
    92 
       
    93     /// \brief Directed arc from an edge.
       
    94     ///
       
    95     /// Returns a directed arc corresponding to the specified Edge.
       
    96     /// If the given bool is true the given edge and the
       
    97     /// returned arc have the same source node.
       
    98     static Arc direct(const Edge &ue, bool d) {
       
    99       return Arc(ue, d);
       
   100     }
       
   101 
       
   102     /// Returns whether the given directed arc is same orientation as the
       
   103     /// corresponding edge.
       
   104     ///
       
   105     /// \todo reference to the corresponding point of the undirected digraph
       
   106     /// concept. "What does the direction of an edge mean?"
       
   107     static bool direction(const Arc &e) { return e.forward; }
       
   108 
       
   109 
       
   110     using Parent::first;
       
   111     using Parent::next;
       
   112 
       
   113     void first(Arc &e) const {
       
   114       Parent::first(e);
       
   115       e.forward=true;
       
   116     }
       
   117 
       
   118     void next(Arc &e) const {
       
   119       if( e.forward ) {
       
   120 	e.forward = false;
       
   121       }
       
   122       else {
       
   123 	Parent::next(e);
       
   124 	e.forward = true;
       
   125       }
       
   126     }
       
   127 
       
   128     void firstOut(Arc &e, const Node &n) const {
       
   129       Parent::firstIn(e,n);
       
   130       if( Edge(e) != INVALID ) {
       
   131 	e.forward = false;
       
   132       }
       
   133       else {
       
   134 	Parent::firstOut(e,n);
       
   135 	e.forward = true;
       
   136       }
       
   137     }
       
   138     void nextOut(Arc &e) const {
       
   139       if( ! e.forward ) {
       
   140 	Node n = Parent::target(e);
       
   141 	Parent::nextIn(e);
       
   142 	if( Edge(e) == INVALID ) {
       
   143 	  Parent::firstOut(e, n);
       
   144 	  e.forward = true;
       
   145 	}
       
   146       }
       
   147       else {
       
   148 	Parent::nextOut(e);
       
   149       }
       
   150     }
       
   151 
       
   152     void firstIn(Arc &e, const Node &n) const {
       
   153       Parent::firstOut(e,n);
       
   154       if( Edge(e) != INVALID ) {
       
   155 	e.forward = false;
       
   156       }
       
   157       else {
       
   158 	Parent::firstIn(e,n);
       
   159 	e.forward = true;
       
   160       }
       
   161     }
       
   162     void nextIn(Arc &e) const {
       
   163       if( ! e.forward ) {
       
   164 	Node n = Parent::source(e);
       
   165 	Parent::nextOut(e);
       
   166 	if( Edge(e) == INVALID ) {
       
   167 	  Parent::firstIn(e, n);
       
   168 	  e.forward = true;
       
   169 	}
       
   170       }
       
   171       else {
       
   172 	Parent::nextIn(e);
       
   173       }
       
   174     }
       
   175 
       
   176     void firstInc(Edge &e, bool &d, const Node &n) const {
       
   177       d = true;
       
   178       Parent::firstOut(e, n);
       
   179       if (e != INVALID) return;
       
   180       d = false;
       
   181       Parent::firstIn(e, n);
       
   182     }
       
   183 
       
   184     void nextInc(Edge &e, bool &d) const {
       
   185       if (d) {
       
   186 	Node s = Parent::source(e);
       
   187 	Parent::nextOut(e);
       
   188 	if (e != INVALID) return;
       
   189 	d = false;
       
   190 	Parent::firstIn(e, s);
       
   191       } else {
       
   192 	Parent::nextIn(e);
       
   193       }
       
   194     }
       
   195 
       
   196     Node nodeFromId(int ix) const {
       
   197       return Parent::nodeFromId(ix);
       
   198     }
       
   199 
       
   200     Arc arcFromId(int ix) const {
       
   201       return direct(Parent::arcFromId(ix >> 1), bool(ix & 1));
       
   202     }
       
   203 
       
   204     Edge edgeFromId(int ix) const {
       
   205       return Parent::arcFromId(ix);
       
   206     }
       
   207 
       
   208     int id(const Node &n) const {
       
   209       return Parent::id(n);
       
   210     }
       
   211 
       
   212     int id(const Edge &e) const {
       
   213       return Parent::id(e);
       
   214     }
       
   215 
       
   216     int id(const Arc &e) const {
       
   217       return 2 * Parent::id(e) + int(e.forward);
       
   218     }
       
   219 
       
   220     int maxNodeId() const {
       
   221       return Parent::maxNodeId();
       
   222     }
       
   223 
       
   224     int maxArcId() const {
       
   225       return 2 * Parent::maxArcId() + 1;
       
   226     }
       
   227 
       
   228     int maxEdgeId() const {
       
   229       return Parent::maxArcId();
       
   230     }
       
   231 
       
   232 
       
   233     int arcNum() const {
       
   234       return 2 * Parent::arcNum();
       
   235     }
       
   236 
       
   237     int edgeNum() const {
       
   238       return Parent::arcNum();
       
   239     }
       
   240 
       
   241     Arc findArc(Node s, Node t, Arc p = INVALID) const {
       
   242       if (p == INVALID) {
       
   243 	Edge arc = Parent::findArc(s, t);
       
   244 	if (arc != INVALID) return direct(arc, true);
       
   245 	arc = Parent::findArc(t, s);
       
   246 	if (arc != INVALID) return direct(arc, false);
       
   247       } else if (direction(p)) {
       
   248 	Edge arc = Parent::findArc(s, t, p);
       
   249 	if (arc != INVALID) return direct(arc, true);
       
   250 	arc = Parent::findArc(t, s);
       
   251 	if (arc != INVALID) return direct(arc, false);	
       
   252       } else {
       
   253 	Edge arc = Parent::findArc(t, s, p);
       
   254 	if (arc != INVALID) return direct(arc, false);	      
       
   255       }
       
   256       return INVALID;
       
   257     }
       
   258 
       
   259     Edge findEdge(Node s, Node t, Edge p = INVALID) const {
       
   260       if (s != t) {
       
   261         if (p == INVALID) {
       
   262           Edge arc = Parent::findArc(s, t);
       
   263           if (arc != INVALID) return arc;
       
   264           arc = Parent::findArc(t, s);
       
   265           if (arc != INVALID) return arc;
       
   266         } else if (Parent::s(p) == s) {
       
   267           Edge arc = Parent::findArc(s, t, p);
       
   268           if (arc != INVALID) return arc;
       
   269           arc = Parent::findArc(t, s);
       
   270           if (arc != INVALID) return arc;	
       
   271         } else {
       
   272           Edge arc = Parent::findArc(t, s, p);
       
   273           if (arc != INVALID) return arc;	      
       
   274         }
       
   275       } else {
       
   276         return Parent::findArc(s, t, p);
       
   277       }
       
   278       return INVALID;
       
   279     }
       
   280   };
       
   281 
       
   282   template <typename Base>
       
   283   class BidirBpGraphExtender : public Base {
       
   284   public:
       
   285     typedef Base Parent;
       
   286     typedef BidirBpGraphExtender Digraph;
       
   287 
       
   288     typedef typename Parent::Node Node;
       
   289     typedef typename Parent::Edge Edge;
       
   290 
       
   291 
       
   292     using Parent::first;
       
   293     using Parent::next;
       
   294 
       
   295     using Parent::id;
       
   296 
       
   297     class Red : public Node {
       
   298       friend class BidirBpGraphExtender;
       
   299     public:
       
   300       Red() {}
       
   301       Red(const Node& node) : Node(node) {
       
   302 	LEMON_ASSERT(Parent::red(node) || node == INVALID, 
       
   303 		     typename Parent::NodeSetError());
       
   304       }
       
   305       Red& operator=(const Node& node) {
       
   306 	LEMON_ASSERT(Parent::red(node) || node == INVALID, 
       
   307 		     typename Parent::NodeSetError());
       
   308         Node::operator=(node);
       
   309         return *this;
       
   310       }
       
   311       Red(Invalid) : Node(INVALID) {}
       
   312       Red& operator=(Invalid) {
       
   313         Node::operator=(INVALID);
       
   314         return *this;
       
   315       }
       
   316     };
       
   317 
       
   318     void first(Red& node) const {
       
   319       Parent::firstRed(static_cast<Node&>(node));
       
   320     }
       
   321     void next(Red& node) const {
       
   322       Parent::nextRed(static_cast<Node&>(node));
       
   323     }
       
   324 
       
   325     int id(const Red& node) const {
       
   326       return Parent::redId(node);
       
   327     }
       
   328 
       
   329     class Blue : public Node {
       
   330       friend class BidirBpGraphExtender;
       
   331     public:
       
   332       Blue() {}
       
   333       Blue(const Node& node) : Node(node) {
       
   334 	LEMON_ASSERT(Parent::blue(node) || node == INVALID,
       
   335 		     typename Parent::NodeSetError());
       
   336       }
       
   337       Blue& operator=(const Node& node) {
       
   338 	LEMON_ASSERT(Parent::blue(node) || node == INVALID, 
       
   339 		     typename Parent::NodeSetError());
       
   340         Node::operator=(node);
       
   341         return *this;
       
   342       }
       
   343       Blue(Invalid) : Node(INVALID) {}
       
   344       Blue& operator=(Invalid) {
       
   345         Node::operator=(INVALID);
       
   346         return *this;
       
   347       }
       
   348     };
       
   349 
       
   350     void first(Blue& node) const {
       
   351       Parent::firstBlue(static_cast<Node&>(node));
       
   352     }
       
   353     void next(Blue& node) const {
       
   354       Parent::nextBlue(static_cast<Node&>(node));
       
   355     }
       
   356   
       
   357     int id(const Blue& node) const {
       
   358       return Parent::redId(node);
       
   359     }
       
   360 
       
   361     Node source(const Edge& arc) const {
       
   362       return red(arc);
       
   363     }
       
   364     Node target(const Edge& arc) const {
       
   365       return blue(arc);
       
   366     }
       
   367 
       
   368     void firstInc(Edge& arc, bool& dir, const Node& node) const {
       
   369       if (Parent::red(node)) {
       
   370 	Parent::firstFromRed(arc, node);
       
   371 	dir = true;
       
   372       } else {
       
   373 	Parent::firstFromBlue(arc, node);
       
   374 	dir = static_cast<Edge&>(arc) == INVALID;
       
   375       }
       
   376     }
       
   377     void nextInc(Edge& arc, bool& dir) const {
       
   378       if (dir) {
       
   379 	Parent::nextFromRed(arc);
       
   380       } else {
       
   381 	Parent::nextFromBlue(arc);
       
   382 	if (arc == INVALID) dir = true;
       
   383       }
       
   384     }
       
   385 
       
   386     class Arc : public Edge {
       
   387       friend class BidirBpGraphExtender;
       
   388     protected:
       
   389       bool forward;
       
   390 
       
   391       Arc(const Edge& arc, bool _forward)
       
   392 	: Edge(arc), forward(_forward) {}
       
   393 
       
   394     public:
       
   395       Arc() {}
       
   396       Arc (Invalid) : Edge(INVALID), forward(true) {}
       
   397       bool operator==(const Arc& i) const {
       
   398 	return Edge::operator==(i) && forward == i.forward;
       
   399       }
       
   400       bool operator!=(const Arc& i) const {
       
   401 	return Edge::operator!=(i) || forward != i.forward;
       
   402       }
       
   403       bool operator<(const Arc& i) const {
       
   404 	return Edge::operator<(i) || 
       
   405 	  (!(i.forward<forward) && Edge(*this)<Edge(i));
       
   406       }
       
   407     };
       
   408 
       
   409     void first(Arc& arc) const {
       
   410       Parent::first(static_cast<Edge&>(arc));
       
   411       arc.forward = true;
       
   412     }
       
   413 
       
   414     void next(Arc& arc) const {
       
   415       if (!arc.forward) {
       
   416 	Parent::next(static_cast<Edge&>(arc));
       
   417       }
       
   418       arc.forward = !arc.forward;
       
   419     }
       
   420 
       
   421     void firstOut(Arc& arc, const Node& node) const {
       
   422       if (Parent::red(node)) {
       
   423 	Parent::firstFromRed(arc, node);
       
   424 	arc.forward = true;
       
   425       } else {
       
   426 	Parent::firstFromBlue(arc, node);
       
   427 	arc.forward = static_cast<Edge&>(arc) == INVALID;
       
   428       }
       
   429     }
       
   430     void nextOut(Arc& arc) const {
       
   431       if (arc.forward) {
       
   432 	Parent::nextFromRed(arc);
       
   433       } else {
       
   434 	Parent::nextFromBlue(arc);
       
   435         arc.forward = static_cast<Edge&>(arc) == INVALID;
       
   436       }
       
   437     }
       
   438 
       
   439     void firstIn(Arc& arc, const Node& node) const {
       
   440       if (Parent::blue(node)) {
       
   441 	Parent::firstFromBlue(arc, node);
       
   442 	arc.forward = true;	
       
   443       } else {
       
   444 	Parent::firstFromRed(arc, node);
       
   445 	arc.forward = static_cast<Edge&>(arc) == INVALID;
       
   446       }
       
   447     }
       
   448     void nextIn(Arc& arc) const {
       
   449       if (arc.forward) {
       
   450 	Parent::nextFromBlue(arc);
       
   451       } else {
       
   452 	Parent::nextFromRed(arc);
       
   453 	arc.forward = static_cast<Edge&>(arc) == INVALID;
       
   454       }
       
   455     }
       
   456 
       
   457     Node source(const Arc& arc) const {
       
   458       return arc.forward ? Parent::red(arc) : Parent::blue(arc);
       
   459     }
       
   460     Node target(const Arc& arc) const {
       
   461       return arc.forward ? Parent::blue(arc) : Parent::red(arc);
       
   462     }
       
   463 
       
   464     int id(const Arc& arc) const {
       
   465       return (Parent::id(static_cast<const Edge&>(arc)) << 1) + 
       
   466         (arc.forward ? 0 : 1);
       
   467     }
       
   468     Arc arcFromId(int ix) const {
       
   469       return Arc(Parent::fromEdgeId(ix >> 1), (ix & 1) == 0);
       
   470     }
       
   471     int maxArcId() const {
       
   472       return (Parent::maxEdgeId() << 1) + 1;
       
   473     }
       
   474 
       
   475     bool direction(const Arc& arc) const {
       
   476       return arc.forward;
       
   477     }
       
   478 
       
   479     Arc direct(const Edge& arc, bool dir) const {
       
   480       return Arc(arc, dir);
       
   481     }
       
   482 
       
   483     int arcNum() const {
       
   484       return 2 * Parent::edgeNum();
       
   485     }
       
   486 
       
   487     int edgeNum() const {
       
   488       return Parent::edgeNum();
       
   489     }
       
   490 
       
   491 
       
   492   };
       
   493 }
       
   494 
       
   495 #endif