| [57] | 1 | /* -*- C++ -*- | 
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|  | 2 | * | 
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|  | 3 | * This file is a part of LEMON, a generic C++ optimization library | 
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|  | 4 | * | 
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| [107] | 5 | * Copyright (C) 2003-2008 | 
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| [57] | 6 | * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport | 
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|  | 7 | * (Egervary Research Group on Combinatorial Optimization, EGRES). | 
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|  | 8 | * | 
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|  | 9 | * Permission to use, modify and distribute this software is granted | 
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|  | 10 | * provided that this copyright notice appears in all copies. For | 
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|  | 11 | * precise terms see the accompanying LICENSE file. | 
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|  | 12 | * | 
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|  | 13 | * This software is provided "AS IS" with no warranty of any kind, | 
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|  | 14 | * express or implied, and with no claim as to its suitability for any | 
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|  | 15 | * purpose. | 
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|  | 16 | * | 
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|  | 17 | */ | 
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|  | 18 |  | 
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|  | 19 | #ifndef LEMON_BITS_BASE_EXTENDER_H | 
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|  | 20 | #define LEMON_BITS_BASE_EXTENDER_H | 
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|  | 21 |  | 
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|  | 22 | #include <lemon/bits/invalid.h> | 
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|  | 23 | #include <lemon/error.h> | 
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|  | 24 |  | 
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|  | 25 | #include <lemon/bits/map_extender.h> | 
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|  | 26 | #include <lemon/bits/default_map.h> | 
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|  | 27 |  | 
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|  | 28 | #include <lemon/concept_check.h> | 
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|  | 29 | #include <lemon/concepts/maps.h> | 
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|  | 30 |  | 
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|  | 31 | ///\ingroup digraphbits | 
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|  | 32 | ///\file | 
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|  | 33 | ///\brief Extenders for the digraph types | 
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|  | 34 | namespace lemon { | 
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|  | 35 |  | 
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|  | 36 | /// \ingroup digraphbits | 
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|  | 37 | /// | 
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|  | 38 | /// \brief BaseDigraph to BaseGraph extender | 
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|  | 39 | template <typename Base> | 
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|  | 40 | class UndirDigraphExtender : public Base { | 
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|  | 41 |  | 
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|  | 42 | public: | 
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|  | 43 |  | 
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|  | 44 | typedef Base Parent; | 
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|  | 45 | typedef typename Parent::Arc Edge; | 
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|  | 46 | typedef typename Parent::Node Node; | 
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|  | 47 |  | 
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|  | 48 | typedef True UndirectedTag; | 
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|  | 49 |  | 
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|  | 50 | class Arc : public Edge { | 
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|  | 51 | friend class UndirDigraphExtender; | 
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|  | 52 |  | 
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|  | 53 | protected: | 
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|  | 54 | bool forward; | 
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|  | 55 |  | 
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|  | 56 | Arc(const Edge &ue, bool _forward) : | 
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|  | 57 | Edge(ue), forward(_forward) {} | 
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|  | 58 |  | 
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|  | 59 | public: | 
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|  | 60 | Arc() {} | 
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|  | 61 |  | 
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|  | 62 | /// Invalid arc constructor | 
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|  | 63 | Arc(Invalid i) : Edge(i), forward(true) {} | 
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|  | 64 |  | 
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|  | 65 | bool operator==(const Arc &that) const { | 
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|  | 66 | return forward==that.forward && Edge(*this)==Edge(that); | 
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|  | 67 | } | 
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|  | 68 | bool operator!=(const Arc &that) const { | 
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|  | 69 | return forward!=that.forward || Edge(*this)!=Edge(that); | 
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|  | 70 | } | 
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|  | 71 | bool operator<(const Arc &that) const { | 
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|  | 72 | return forward<that.forward || | 
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|  | 73 | (!(that.forward<forward) && Edge(*this)<Edge(that)); | 
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|  | 74 | } | 
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|  | 75 | }; | 
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|  | 76 |  | 
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|  | 77 |  | 
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|  | 78 |  | 
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|  | 79 | using Parent::source; | 
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|  | 80 |  | 
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|  | 81 | /// Source of the given Arc. | 
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|  | 82 | Node source(const Arc &e) const { | 
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|  | 83 | return e.forward ? Parent::source(e) : Parent::target(e); | 
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|  | 84 | } | 
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|  | 85 |  | 
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|  | 86 | using Parent::target; | 
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|  | 87 |  | 
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|  | 88 | /// Target of the given Arc. | 
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|  | 89 | Node target(const Arc &e) const { | 
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|  | 90 | return e.forward ? Parent::target(e) : Parent::source(e); | 
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|  | 91 | } | 
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|  | 92 |  | 
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|  | 93 | /// \brief Directed arc from an edge. | 
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|  | 94 | /// | 
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|  | 95 | /// Returns a directed arc corresponding to the specified Edge. | 
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|  | 96 | /// If the given bool is true the given edge and the | 
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|  | 97 | /// returned arc have the same source node. | 
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|  | 98 | static Arc direct(const Edge &ue, bool d) { | 
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|  | 99 | return Arc(ue, d); | 
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|  | 100 | } | 
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|  | 101 |  | 
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|  | 102 | /// Returns whether the given directed arc is same orientation as the | 
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|  | 103 | /// corresponding edge. | 
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|  | 104 | /// | 
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|  | 105 | /// \todo reference to the corresponding point of the undirected digraph | 
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|  | 106 | /// concept. "What does the direction of an edge mean?" | 
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|  | 107 | static bool direction(const Arc &e) { return e.forward; } | 
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|  | 108 |  | 
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|  | 109 |  | 
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|  | 110 | using Parent::first; | 
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|  | 111 | using Parent::next; | 
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|  | 112 |  | 
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|  | 113 | void first(Arc &e) const { | 
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|  | 114 | Parent::first(e); | 
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|  | 115 | e.forward=true; | 
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|  | 116 | } | 
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|  | 117 |  | 
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|  | 118 | void next(Arc &e) const { | 
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|  | 119 | if( e.forward ) { | 
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|  | 120 | e.forward = false; | 
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|  | 121 | } | 
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|  | 122 | else { | 
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|  | 123 | Parent::next(e); | 
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|  | 124 | e.forward = true; | 
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|  | 125 | } | 
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|  | 126 | } | 
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|  | 127 |  | 
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|  | 128 | void firstOut(Arc &e, const Node &n) const { | 
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|  | 129 | Parent::firstIn(e,n); | 
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|  | 130 | if( Edge(e) != INVALID ) { | 
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|  | 131 | e.forward = false; | 
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|  | 132 | } | 
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|  | 133 | else { | 
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|  | 134 | Parent::firstOut(e,n); | 
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|  | 135 | e.forward = true; | 
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|  | 136 | } | 
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|  | 137 | } | 
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|  | 138 | void nextOut(Arc &e) const { | 
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|  | 139 | if( ! e.forward ) { | 
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|  | 140 | Node n = Parent::target(e); | 
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|  | 141 | Parent::nextIn(e); | 
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|  | 142 | if( Edge(e) == INVALID ) { | 
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|  | 143 | Parent::firstOut(e, n); | 
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|  | 144 | e.forward = true; | 
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|  | 145 | } | 
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|  | 146 | } | 
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|  | 147 | else { | 
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|  | 148 | Parent::nextOut(e); | 
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|  | 149 | } | 
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|  | 150 | } | 
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|  | 151 |  | 
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|  | 152 | void firstIn(Arc &e, const Node &n) const { | 
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|  | 153 | Parent::firstOut(e,n); | 
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|  | 154 | if( Edge(e) != INVALID ) { | 
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|  | 155 | e.forward = false; | 
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|  | 156 | } | 
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|  | 157 | else { | 
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|  | 158 | Parent::firstIn(e,n); | 
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|  | 159 | e.forward = true; | 
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|  | 160 | } | 
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|  | 161 | } | 
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|  | 162 | void nextIn(Arc &e) const { | 
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|  | 163 | if( ! e.forward ) { | 
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|  | 164 | Node n = Parent::source(e); | 
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|  | 165 | Parent::nextOut(e); | 
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|  | 166 | if( Edge(e) == INVALID ) { | 
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|  | 167 | Parent::firstIn(e, n); | 
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|  | 168 | e.forward = true; | 
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|  | 169 | } | 
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|  | 170 | } | 
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|  | 171 | else { | 
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|  | 172 | Parent::nextIn(e); | 
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|  | 173 | } | 
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|  | 174 | } | 
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|  | 175 |  | 
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|  | 176 | void firstInc(Edge &e, bool &d, const Node &n) const { | 
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|  | 177 | d = true; | 
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|  | 178 | Parent::firstOut(e, n); | 
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|  | 179 | if (e != INVALID) return; | 
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|  | 180 | d = false; | 
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|  | 181 | Parent::firstIn(e, n); | 
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|  | 182 | } | 
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|  | 183 |  | 
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|  | 184 | void nextInc(Edge &e, bool &d) const { | 
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|  | 185 | if (d) { | 
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|  | 186 | Node s = Parent::source(e); | 
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|  | 187 | Parent::nextOut(e); | 
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|  | 188 | if (e != INVALID) return; | 
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|  | 189 | d = false; | 
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|  | 190 | Parent::firstIn(e, s); | 
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|  | 191 | } else { | 
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|  | 192 | Parent::nextIn(e); | 
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|  | 193 | } | 
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|  | 194 | } | 
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|  | 195 |  | 
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|  | 196 | Node nodeFromId(int ix) const { | 
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|  | 197 | return Parent::nodeFromId(ix); | 
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|  | 198 | } | 
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|  | 199 |  | 
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|  | 200 | Arc arcFromId(int ix) const { | 
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|  | 201 | return direct(Parent::arcFromId(ix >> 1), bool(ix & 1)); | 
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|  | 202 | } | 
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|  | 203 |  | 
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|  | 204 | Edge edgeFromId(int ix) const { | 
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|  | 205 | return Parent::arcFromId(ix); | 
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|  | 206 | } | 
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|  | 207 |  | 
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|  | 208 | int id(const Node &n) const { | 
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|  | 209 | return Parent::id(n); | 
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|  | 210 | } | 
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|  | 211 |  | 
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|  | 212 | int id(const Edge &e) const { | 
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|  | 213 | return Parent::id(e); | 
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|  | 214 | } | 
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|  | 215 |  | 
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|  | 216 | int id(const Arc &e) const { | 
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|  | 217 | return 2 * Parent::id(e) + int(e.forward); | 
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|  | 218 | } | 
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|  | 219 |  | 
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|  | 220 | int maxNodeId() const { | 
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|  | 221 | return Parent::maxNodeId(); | 
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|  | 222 | } | 
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|  | 223 |  | 
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|  | 224 | int maxArcId() const { | 
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|  | 225 | return 2 * Parent::maxArcId() + 1; | 
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|  | 226 | } | 
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|  | 227 |  | 
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|  | 228 | int maxEdgeId() const { | 
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|  | 229 | return Parent::maxArcId(); | 
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|  | 230 | } | 
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|  | 231 |  | 
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|  | 232 |  | 
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|  | 233 | int arcNum() const { | 
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|  | 234 | return 2 * Parent::arcNum(); | 
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|  | 235 | } | 
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|  | 236 |  | 
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|  | 237 | int edgeNum() const { | 
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|  | 238 | return Parent::arcNum(); | 
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|  | 239 | } | 
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|  | 240 |  | 
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|  | 241 | Arc findArc(Node s, Node t, Arc p = INVALID) const { | 
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|  | 242 | if (p == INVALID) { | 
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|  | 243 | Edge arc = Parent::findArc(s, t); | 
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|  | 244 | if (arc != INVALID) return direct(arc, true); | 
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|  | 245 | arc = Parent::findArc(t, s); | 
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|  | 246 | if (arc != INVALID) return direct(arc, false); | 
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|  | 247 | } else if (direction(p)) { | 
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|  | 248 | Edge arc = Parent::findArc(s, t, p); | 
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|  | 249 | if (arc != INVALID) return direct(arc, true); | 
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|  | 250 | arc = Parent::findArc(t, s); | 
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|  | 251 | if (arc != INVALID) return direct(arc, false); | 
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|  | 252 | } else { | 
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|  | 253 | Edge arc = Parent::findArc(t, s, p); | 
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|  | 254 | if (arc != INVALID) return direct(arc, false); | 
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|  | 255 | } | 
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|  | 256 | return INVALID; | 
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|  | 257 | } | 
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|  | 258 |  | 
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|  | 259 | Edge findEdge(Node s, Node t, Edge p = INVALID) const { | 
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|  | 260 | if (s != t) { | 
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|  | 261 | if (p == INVALID) { | 
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|  | 262 | Edge arc = Parent::findArc(s, t); | 
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|  | 263 | if (arc != INVALID) return arc; | 
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|  | 264 | arc = Parent::findArc(t, s); | 
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|  | 265 | if (arc != INVALID) return arc; | 
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|  | 266 | } else if (Parent::s(p) == s) { | 
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|  | 267 | Edge arc = Parent::findArc(s, t, p); | 
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|  | 268 | if (arc != INVALID) return arc; | 
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|  | 269 | arc = Parent::findArc(t, s); | 
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|  | 270 | if (arc != INVALID) return arc; | 
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|  | 271 | } else { | 
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|  | 272 | Edge arc = Parent::findArc(t, s, p); | 
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|  | 273 | if (arc != INVALID) return arc; | 
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|  | 274 | } | 
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|  | 275 | } else { | 
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|  | 276 | return Parent::findArc(s, t, p); | 
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|  | 277 | } | 
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|  | 278 | return INVALID; | 
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|  | 279 | } | 
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|  | 280 | }; | 
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|  | 281 |  | 
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|  | 282 | template <typename Base> | 
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|  | 283 | class BidirBpGraphExtender : public Base { | 
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|  | 284 | public: | 
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|  | 285 | typedef Base Parent; | 
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|  | 286 | typedef BidirBpGraphExtender Digraph; | 
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|  | 287 |  | 
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|  | 288 | typedef typename Parent::Node Node; | 
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|  | 289 | typedef typename Parent::Edge Edge; | 
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|  | 290 |  | 
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|  | 291 |  | 
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|  | 292 | using Parent::first; | 
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|  | 293 | using Parent::next; | 
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|  | 294 |  | 
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|  | 295 | using Parent::id; | 
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|  | 296 |  | 
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|  | 297 | class Red : public Node { | 
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|  | 298 | friend class BidirBpGraphExtender; | 
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|  | 299 | public: | 
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|  | 300 | Red() {} | 
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|  | 301 | Red(const Node& node) : Node(node) { | 
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|  | 302 | LEMON_ASSERT(Parent::red(node) || node == INVALID, | 
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|  | 303 | typename Parent::NodeSetError()); | 
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|  | 304 | } | 
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|  | 305 | Red& operator=(const Node& node) { | 
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|  | 306 | LEMON_ASSERT(Parent::red(node) || node == INVALID, | 
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|  | 307 | typename Parent::NodeSetError()); | 
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|  | 308 | Node::operator=(node); | 
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|  | 309 | return *this; | 
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|  | 310 | } | 
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|  | 311 | Red(Invalid) : Node(INVALID) {} | 
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|  | 312 | Red& operator=(Invalid) { | 
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|  | 313 | Node::operator=(INVALID); | 
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|  | 314 | return *this; | 
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|  | 315 | } | 
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|  | 316 | }; | 
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|  | 317 |  | 
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|  | 318 | void first(Red& node) const { | 
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|  | 319 | Parent::firstRed(static_cast<Node&>(node)); | 
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|  | 320 | } | 
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|  | 321 | void next(Red& node) const { | 
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|  | 322 | Parent::nextRed(static_cast<Node&>(node)); | 
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|  | 323 | } | 
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|  | 324 |  | 
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|  | 325 | int id(const Red& node) const { | 
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|  | 326 | return Parent::redId(node); | 
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|  | 327 | } | 
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|  | 328 |  | 
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|  | 329 | class Blue : public Node { | 
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|  | 330 | friend class BidirBpGraphExtender; | 
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|  | 331 | public: | 
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|  | 332 | Blue() {} | 
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|  | 333 | Blue(const Node& node) : Node(node) { | 
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|  | 334 | LEMON_ASSERT(Parent::blue(node) || node == INVALID, | 
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|  | 335 | typename Parent::NodeSetError()); | 
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|  | 336 | } | 
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|  | 337 | Blue& operator=(const Node& node) { | 
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|  | 338 | LEMON_ASSERT(Parent::blue(node) || node == INVALID, | 
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|  | 339 | typename Parent::NodeSetError()); | 
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|  | 340 | Node::operator=(node); | 
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|  | 341 | return *this; | 
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|  | 342 | } | 
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|  | 343 | Blue(Invalid) : Node(INVALID) {} | 
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|  | 344 | Blue& operator=(Invalid) { | 
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|  | 345 | Node::operator=(INVALID); | 
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|  | 346 | return *this; | 
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|  | 347 | } | 
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|  | 348 | }; | 
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|  | 349 |  | 
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|  | 350 | void first(Blue& node) const { | 
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|  | 351 | Parent::firstBlue(static_cast<Node&>(node)); | 
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|  | 352 | } | 
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|  | 353 | void next(Blue& node) const { | 
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|  | 354 | Parent::nextBlue(static_cast<Node&>(node)); | 
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|  | 355 | } | 
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|  | 356 |  | 
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|  | 357 | int id(const Blue& node) const { | 
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|  | 358 | return Parent::redId(node); | 
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|  | 359 | } | 
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|  | 360 |  | 
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|  | 361 | Node source(const Edge& arc) const { | 
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|  | 362 | return red(arc); | 
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|  | 363 | } | 
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|  | 364 | Node target(const Edge& arc) const { | 
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|  | 365 | return blue(arc); | 
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|  | 366 | } | 
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|  | 367 |  | 
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|  | 368 | void firstInc(Edge& arc, bool& dir, const Node& node) const { | 
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|  | 369 | if (Parent::red(node)) { | 
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|  | 370 | Parent::firstFromRed(arc, node); | 
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|  | 371 | dir = true; | 
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|  | 372 | } else { | 
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|  | 373 | Parent::firstFromBlue(arc, node); | 
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|  | 374 | dir = static_cast<Edge&>(arc) == INVALID; | 
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|  | 375 | } | 
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|  | 376 | } | 
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|  | 377 | void nextInc(Edge& arc, bool& dir) const { | 
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|  | 378 | if (dir) { | 
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|  | 379 | Parent::nextFromRed(arc); | 
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|  | 380 | } else { | 
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|  | 381 | Parent::nextFromBlue(arc); | 
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|  | 382 | if (arc == INVALID) dir = true; | 
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|  | 383 | } | 
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|  | 384 | } | 
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|  | 385 |  | 
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|  | 386 | class Arc : public Edge { | 
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|  | 387 | friend class BidirBpGraphExtender; | 
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|  | 388 | protected: | 
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|  | 389 | bool forward; | 
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|  | 390 |  | 
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|  | 391 | Arc(const Edge& arc, bool _forward) | 
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|  | 392 | : Edge(arc), forward(_forward) {} | 
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|  | 393 |  | 
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|  | 394 | public: | 
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|  | 395 | Arc() {} | 
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|  | 396 | Arc (Invalid) : Edge(INVALID), forward(true) {} | 
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|  | 397 | bool operator==(const Arc& i) const { | 
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|  | 398 | return Edge::operator==(i) && forward == i.forward; | 
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|  | 399 | } | 
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|  | 400 | bool operator!=(const Arc& i) const { | 
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|  | 401 | return Edge::operator!=(i) || forward != i.forward; | 
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|  | 402 | } | 
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|  | 403 | bool operator<(const Arc& i) const { | 
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|  | 404 | return Edge::operator<(i) || | 
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|  | 405 | (!(i.forward<forward) && Edge(*this)<Edge(i)); | 
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|  | 406 | } | 
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|  | 407 | }; | 
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|  | 408 |  | 
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|  | 409 | void first(Arc& arc) const { | 
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|  | 410 | Parent::first(static_cast<Edge&>(arc)); | 
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|  | 411 | arc.forward = true; | 
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|  | 412 | } | 
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|  | 413 |  | 
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|  | 414 | void next(Arc& arc) const { | 
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|  | 415 | if (!arc.forward) { | 
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|  | 416 | Parent::next(static_cast<Edge&>(arc)); | 
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|  | 417 | } | 
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|  | 418 | arc.forward = !arc.forward; | 
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|  | 419 | } | 
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|  | 420 |  | 
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|  | 421 | void firstOut(Arc& arc, const Node& node) const { | 
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|  | 422 | if (Parent::red(node)) { | 
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|  | 423 | Parent::firstFromRed(arc, node); | 
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|  | 424 | arc.forward = true; | 
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|  | 425 | } else { | 
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|  | 426 | Parent::firstFromBlue(arc, node); | 
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|  | 427 | arc.forward = static_cast<Edge&>(arc) == INVALID; | 
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|  | 428 | } | 
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|  | 429 | } | 
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|  | 430 | void nextOut(Arc& arc) const { | 
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|  | 431 | if (arc.forward) { | 
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|  | 432 | Parent::nextFromRed(arc); | 
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|  | 433 | } else { | 
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|  | 434 | Parent::nextFromBlue(arc); | 
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|  | 435 | arc.forward = static_cast<Edge&>(arc) == INVALID; | 
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|  | 436 | } | 
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|  | 437 | } | 
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|  | 438 |  | 
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|  | 439 | void firstIn(Arc& arc, const Node& node) const { | 
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|  | 440 | if (Parent::blue(node)) { | 
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|  | 441 | Parent::firstFromBlue(arc, node); | 
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|  | 442 | arc.forward = true; | 
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|  | 443 | } else { | 
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|  | 444 | Parent::firstFromRed(arc, node); | 
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|  | 445 | arc.forward = static_cast<Edge&>(arc) == INVALID; | 
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|  | 446 | } | 
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|  | 447 | } | 
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|  | 448 | void nextIn(Arc& arc) const { | 
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|  | 449 | if (arc.forward) { | 
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|  | 450 | Parent::nextFromBlue(arc); | 
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|  | 451 | } else { | 
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|  | 452 | Parent::nextFromRed(arc); | 
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|  | 453 | arc.forward = static_cast<Edge&>(arc) == INVALID; | 
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|  | 454 | } | 
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|  | 455 | } | 
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|  | 456 |  | 
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|  | 457 | Node source(const Arc& arc) const { | 
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|  | 458 | return arc.forward ? Parent::red(arc) : Parent::blue(arc); | 
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|  | 459 | } | 
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|  | 460 | Node target(const Arc& arc) const { | 
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|  | 461 | return arc.forward ? Parent::blue(arc) : Parent::red(arc); | 
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|  | 462 | } | 
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|  | 463 |  | 
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|  | 464 | int id(const Arc& arc) const { | 
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|  | 465 | return (Parent::id(static_cast<const Edge&>(arc)) << 1) + | 
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|  | 466 | (arc.forward ? 0 : 1); | 
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|  | 467 | } | 
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|  | 468 | Arc arcFromId(int ix) const { | 
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|  | 469 | return Arc(Parent::fromEdgeId(ix >> 1), (ix & 1) == 0); | 
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|  | 470 | } | 
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|  | 471 | int maxArcId() const { | 
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|  | 472 | return (Parent::maxEdgeId() << 1) + 1; | 
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|  | 473 | } | 
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|  | 474 |  | 
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|  | 475 | bool direction(const Arc& arc) const { | 
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|  | 476 | return arc.forward; | 
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|  | 477 | } | 
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|  | 478 |  | 
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|  | 479 | Arc direct(const Edge& arc, bool dir) const { | 
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|  | 480 | return Arc(arc, dir); | 
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|  | 481 | } | 
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|  | 482 |  | 
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|  | 483 | int arcNum() const { | 
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|  | 484 | return 2 * Parent::edgeNum(); | 
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|  | 485 | } | 
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|  | 486 |  | 
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|  | 487 | int edgeNum() const { | 
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|  | 488 | return Parent::edgeNum(); | 
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|  | 489 | } | 
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|  | 490 |  | 
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|  | 491 |  | 
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|  | 492 | }; | 
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|  | 493 | } | 
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|  | 494 |  | 
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|  | 495 | #endif | 
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