diff -r 666f914201fb -r 2fe1408b6811 epoc32/include/stdapis/boost/graph/isomorphism.hpp
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/epoc32/include/stdapis/boost/graph/isomorphism.hpp	Tue Mar 16 16:12:26 2010 +0000
@@ -0,0 +1,467 @@
+// Copyright (C) 2001 Jeremy Siek, Douglas Gregor, Brian Osman
+//
+// Distributed under the Boost Software License, Version 1.0. (See
+// accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+#ifndef BOOST_GRAPH_ISOMORPHISM_HPP
+#define BOOST_GRAPH_ISOMORPHISM_HPP
+
+#include <utility>
+#include <vector>
+#include <iterator>
+#include <algorithm>
+#include <boost/config.hpp>
+#include <boost/graph/depth_first_search.hpp>
+#include <boost/utility.hpp>
+#include <boost/detail/algorithm.hpp>
+#include <boost/pending/indirect_cmp.hpp> // for make_indirect_pmap
+
+#ifndef BOOST_GRAPH_ITERATION_MACROS_HPP
+#define BOOST_ISO_INCLUDED_ITER_MACROS // local macro, see bottom of file
+#include <boost/graph/iteration_macros.hpp>
+#endif
+
+namespace boost {
+
+  namespace detail {
+
+    template <typename Graph1, typename Graph2, typename IsoMapping,
+      typename Invariant1, typename Invariant2,
+      typename IndexMap1, typename IndexMap2>
+    class isomorphism_algo
+    {
+      typedef typename graph_traits<Graph1>::vertex_descriptor vertex1_t;
+      typedef typename graph_traits<Graph2>::vertex_descriptor vertex2_t;
+      typedef typename graph_traits<Graph1>::edge_descriptor edge1_t;
+      typedef typename graph_traits<Graph1>::vertices_size_type size_type;
+      typedef typename Invariant1::result_type invar1_value;
+      typedef typename Invariant2::result_type invar2_value;
+    
+      const Graph1& G1;
+      const Graph2& G2;
+      IsoMapping f;
+      Invariant1 invariant1;
+      Invariant2 invariant2;
+      std::size_t max_invariant;
+      IndexMap1 index_map1;
+      IndexMap2 index_map2;
+    
+      std::vector<vertex1_t> dfs_vertices;
+      typedef typename std::vector<vertex1_t>::iterator vertex_iter;
+      std::vector<int> dfs_num_vec;
+      typedef safe_iterator_property_map<typename std::vector<int>::iterator,
+                                         IndexMap1
+#ifdef BOOST_NO_STD_ITERATOR_TRAITS
+                                         , int, int&
+#endif /* BOOST_NO_STD_ITERATOR_TRAITS */
+                                         > DFSNumMap;
+      DFSNumMap dfs_num;
+      std::vector<edge1_t> ordered_edges;
+      typedef typename std::vector<edge1_t>::iterator edge_iter;
+    
+      std::vector<char> in_S_vec;
+      typedef safe_iterator_property_map<typename std::vector<char>::iterator,
+                                         IndexMap2
+#ifdef BOOST_NO_STD_ITERATOR_TRAITS
+                                         , char, char&
+#endif /* BOOST_NO_STD_ITERATOR_TRAITS */
+                                         > InSMap;
+      InSMap in_S;
+    
+      int num_edges_on_k;
+    
+      friend struct compare_multiplicity;
+      struct compare_multiplicity
+      {
+        compare_multiplicity(Invariant1 invariant1, size_type* multiplicity)
+          : invariant1(invariant1), multiplicity(multiplicity) { }
+        bool operator()(const vertex1_t& x, const vertex1_t& y) const {
+          return multiplicity[invariant1(x)] < multiplicity[invariant1(y)];
+        }
+        Invariant1 invariant1;
+        size_type* multiplicity;
+      };
+    
+      struct record_dfs_order : default_dfs_visitor
+      {
+        record_dfs_order(std::vector<vertex1_t>& v, std::vector<edge1_t>& e) 
+          : vertices(v), edges(e) { }
+    
+        void discover_vertex(vertex1_t v, const Graph1&) const {
+          vertices.push_back(v);
+        }
+        void examine_edge(edge1_t e, const Graph1& G1) const {
+          edges.push_back(e);
+        }
+        std::vector<vertex1_t>& vertices;
+        std::vector<edge1_t>& edges;
+      };
+    
+      struct edge_cmp {
+        edge_cmp(const Graph1& G1, DFSNumMap dfs_num)
+          : G1(G1), dfs_num(dfs_num) { }
+        bool operator()(const edge1_t& e1, const edge1_t& e2) const {
+          using namespace std;
+          int u1 = dfs_num[source(e1,G1)], v1 = dfs_num[target(e1,G1)];
+          int u2 = dfs_num[source(e2,G1)], v2 = dfs_num[target(e2,G1)];
+          int m1 = (max)(u1, v1);
+          int m2 = (max)(u2, v2);
+          // lexicographical comparison 
+          return std::make_pair(m1, std::make_pair(u1, v1))
+            < std::make_pair(m2, std::make_pair(u2, v2));
+        }
+        const Graph1& G1;
+        DFSNumMap dfs_num;
+      };
+    
+    public:
+      isomorphism_algo(const Graph1& G1, const Graph2& G2, IsoMapping f,
+                       Invariant1 invariant1, Invariant2 invariant2, std::size_t max_invariant,
+                       IndexMap1 index_map1, IndexMap2 index_map2)
+        : G1(G1), G2(G2), f(f), invariant1(invariant1), invariant2(invariant2),
+          max_invariant(max_invariant),
+          index_map1(index_map1), index_map2(index_map2)
+      {
+        in_S_vec.resize(num_vertices(G1));
+        in_S = make_safe_iterator_property_map
+          (in_S_vec.begin(), in_S_vec.size(), index_map2
+#ifdef BOOST_NO_STD_ITERATOR_TRAITS
+           , in_S_vec.front()
+#endif /* BOOST_NO_STD_ITERATOR_TRAITS */
+           );
+      }
+    
+      bool test_isomorphism()
+      {
+        {
+          std::vector<invar1_value> invar1_array;
+          BGL_FORALL_VERTICES_T(v, G1, Graph1)
+            invar1_array.push_back(invariant1(v));
+          sort(invar1_array);
+        
+          std::vector<invar2_value> invar2_array;
+          BGL_FORALL_VERTICES_T(v, G2, Graph2)
+            invar2_array.push_back(invariant2(v));
+          sort(invar2_array);
+          if (! equal(invar1_array, invar2_array))
+            return false;
+        }
+        
+        std::vector<vertex1_t> V_mult;
+        BGL_FORALL_VERTICES_T(v, G1, Graph1)
+          V_mult.push_back(v);
+        {
+          std::vector<size_type> multiplicity(max_invariant, 0);
+          BGL_FORALL_VERTICES_T(v, G1, Graph1)
+            ++multiplicity[invariant1(v)];
+          sort(V_mult, compare_multiplicity(invariant1, &multiplicity[0]));
+        }
+        
+        std::vector<default_color_type> color_vec(num_vertices(G1));
+        safe_iterator_property_map<std::vector<default_color_type>::iterator,
+                                   IndexMap1
+#ifdef BOOST_NO_STD_ITERATOR_TRAITS
+                                   , default_color_type, default_color_type&
+#endif /* BOOST_NO_STD_ITERATOR_TRAITS */
+                                   >
+          color_map(color_vec.begin(), color_vec.size(), index_map1);
+        record_dfs_order dfs_visitor(dfs_vertices, ordered_edges);
+        typedef color_traits<default_color_type> Color;
+        for (vertex_iter u = V_mult.begin(); u != V_mult.end(); ++u) {
+          if (color_map[*u] == Color::white()) {
+            dfs_visitor.start_vertex(*u, G1);
+            depth_first_visit(G1, *u, dfs_visitor, color_map);
+          }
+        }
+        // Create the dfs_num array and dfs_num_map
+        dfs_num_vec.resize(num_vertices(G1));
+        dfs_num = make_safe_iterator_property_map(dfs_num_vec.begin(),
+                                                  dfs_num_vec.size(), 
+                                                  index_map1
+#ifdef BOOST_NO_STD_ITERATOR_TRAITS
+                                                  , dfs_num_vec.front()
+#endif /* BOOST_NO_STD_ITERATOR_TRAITS */
+                                                  );
+        size_type n = 0;
+        for (vertex_iter v = dfs_vertices.begin(); v != dfs_vertices.end(); ++v)
+          dfs_num[*v] = n++;
+        
+        sort(ordered_edges, edge_cmp(G1, dfs_num));
+        
+    
+        int dfs_num_k = -1;
+        return this->match(ordered_edges.begin(), dfs_num_k);
+      }
+    
+    private:
+      bool match(edge_iter iter, int dfs_num_k)
+      {
+        if (iter != ordered_edges.end()) {
+          vertex1_t i = source(*iter, G1), j = target(*iter, G2);
+          if (dfs_num[i] > dfs_num_k) {
+            vertex1_t kp1 = dfs_vertices[dfs_num_k + 1];
+            BGL_FORALL_VERTICES_T(u, G2, Graph2) {
+              if (invariant1(kp1) == invariant2(u) && in_S[u] == false) {
+                f[kp1] = u;
+                in_S[u] = true;
+                num_edges_on_k = 0;
+                
+                if (match(iter, dfs_num_k + 1))
+#if 0
+                    // dwa 2003/7/11 -- this *HAS* to be a bug!
+                    ;
+#endif 
+                    return true;
+                    
+                in_S[u] = false;
+              }
+            }
+               
+          }
+          else if (dfs_num[j] > dfs_num_k) {
+            vertex1_t k = dfs_vertices[dfs_num_k];
+            num_edges_on_k -= 
+              count_if(adjacent_vertices(f[k], G2), make_indirect_pmap(in_S));
+                
+            for (int jj = 0; jj < dfs_num_k; ++jj) {
+              vertex1_t j = dfs_vertices[jj];
+              num_edges_on_k -= count(adjacent_vertices(f[j], G2), f[k]);
+            }
+                
+            if (num_edges_on_k != 0)
+              return false;
+            BGL_FORALL_ADJ_T(f[i], v, G2, Graph2)
+              if (invariant2(v) == invariant1(j) && in_S[v] == false) {
+                f[j] = v;
+                in_S[v] = true;
+                num_edges_on_k = 1;
+                BOOST_USING_STD_MAX();
+                int next_k = max BOOST_PREVENT_MACRO_SUBSTITUTION(dfs_num_k, max BOOST_PREVENT_MACRO_SUBSTITUTION(dfs_num[i], dfs_num[j]));
+                if (match(next(iter), next_k))
+                  return true;
+                in_S[v] = false;
+              }
+                
+                
+          }
+          else {
+            if (contains(adjacent_vertices(f[i], G2), f[j])) {
+              ++num_edges_on_k;
+              if (match(next(iter), dfs_num_k))
+                return true;
+            }
+                
+          }
+        } else 
+          return true;
+        return false;
+      }
+    
+    };
+
+    
+    template <typename Graph, typename InDegreeMap>
+    void compute_in_degree(const Graph& g, InDegreeMap in_degree_map)
+    {
+      BGL_FORALL_VERTICES_T(v, g, Graph)
+        put(in_degree_map, v, 0);
+
+      BGL_FORALL_VERTICES_T(u, g, Graph)
+        BGL_FORALL_ADJ_T(u, v, g, Graph)
+        put(in_degree_map, v, get(in_degree_map, v) + 1);
+    }
+
+  } // namespace detail
+
+
+  template <typename InDegreeMap, typename Graph>
+  class degree_vertex_invariant
+  {
+    typedef typename graph_traits<Graph>::vertex_descriptor vertex_t;
+    typedef typename graph_traits<Graph>::degree_size_type size_type;
+  public:
+    typedef vertex_t argument_type;
+    typedef size_type result_type;
+
+    degree_vertex_invariant(const InDegreeMap& in_degree_map, const Graph& g)
+      : m_in_degree_map(in_degree_map), m_g(g) { }
+
+    size_type operator()(vertex_t v) const {
+      return (num_vertices(m_g) + 1) * out_degree(v, m_g)
+        + get(m_in_degree_map, v);
+    }
+    // The largest possible vertex invariant number
+    size_type max BOOST_PREVENT_MACRO_SUBSTITUTION () const { 
+      return num_vertices(m_g) * num_vertices(m_g) + num_vertices(m_g);
+    }
+  private:
+    InDegreeMap m_in_degree_map;
+    const Graph& m_g;
+  };
+
+
+  template <typename Graph1, typename Graph2, typename IsoMapping, 
+    typename Invariant1, typename Invariant2,
+    typename IndexMap1, typename IndexMap2>
+  bool isomorphism(const Graph1& G1, const Graph2& G2, IsoMapping f, 
+                   Invariant1 invariant1, Invariant2 invariant2, 
+                   std::size_t max_invariant,
+                   IndexMap1 index_map1, IndexMap2 index_map2)
+
+  {
+    // Graph requirements
+    function_requires< VertexListGraphConcept<Graph1> >();
+    function_requires< EdgeListGraphConcept<Graph1> >();
+    function_requires< VertexListGraphConcept<Graph2> >();
+    function_requires< BidirectionalGraphConcept<Graph2> >();
+    
+    typedef typename graph_traits<Graph1>::vertex_descriptor vertex1_t;
+    typedef typename graph_traits<Graph2>::vertex_descriptor vertex2_t;
+    typedef typename graph_traits<Graph1>::vertices_size_type size_type;
+    
+    // Vertex invariant requirement
+    function_requires< AdaptableUnaryFunctionConcept<Invariant1,
+      size_type, vertex1_t> >();
+    function_requires< AdaptableUnaryFunctionConcept<Invariant2,
+      size_type, vertex2_t> >();
+    
+    // Property map requirements
+    function_requires< ReadWritePropertyMapConcept<IsoMapping, vertex1_t> >();
+    typedef typename property_traits<IsoMapping>::value_type IsoMappingValue;
+    BOOST_STATIC_ASSERT((is_same<IsoMappingValue, vertex2_t>::value));
+    
+    function_requires< ReadablePropertyMapConcept<IndexMap1, vertex1_t> >();
+    typedef typename property_traits<IndexMap1>::value_type IndexMap1Value;
+    BOOST_STATIC_ASSERT((is_convertible<IndexMap1Value, size_type>::value));
+    
+    function_requires< ReadablePropertyMapConcept<IndexMap2, vertex2_t> >();
+    typedef typename property_traits<IndexMap2>::value_type IndexMap2Value;
+    BOOST_STATIC_ASSERT((is_convertible<IndexMap2Value, size_type>::value));
+    
+    if (num_vertices(G1) != num_vertices(G2))
+      return false;
+    if (num_vertices(G1) == 0 && num_vertices(G2) == 0)
+      return true;
+    
+    detail::isomorphism_algo<Graph1, Graph2, IsoMapping, Invariant1,
+      Invariant2, IndexMap1, IndexMap2> 
+      algo(G1, G2, f, invariant1, invariant2, max_invariant, 
+           index_map1, index_map2);
+    return algo.test_isomorphism();
+  }
+
+
+  namespace detail {
+  
+    template <typename Graph1, typename Graph2, 
+      typename IsoMapping, 
+      typename IndexMap1, typename IndexMap2,
+      typename P, typename T, typename R>
+    bool isomorphism_impl(const Graph1& G1, const Graph2& G2, 
+                          IsoMapping f, IndexMap1 index_map1, IndexMap2 index_map2,
+                          const bgl_named_params<P,T,R>& params)
+    {
+      std::vector<std::size_t> in_degree1_vec(num_vertices(G1));
+      typedef safe_iterator_property_map<std::vector<std::size_t>::iterator,
+                                         IndexMap1
+#ifdef BOOST_NO_STD_ITERATOR_TRAITS
+                                         , std::size_t, std::size_t&
+#endif /* BOOST_NO_STD_ITERATOR_TRAITS */
+                                         > InDeg1;
+      InDeg1 in_degree1(in_degree1_vec.begin(), in_degree1_vec.size(), index_map1);
+      compute_in_degree(G1, in_degree1);
+
+      std::vector<std::size_t> in_degree2_vec(num_vertices(G2));
+      typedef safe_iterator_property_map<std::vector<std::size_t>::iterator, 
+                                         IndexMap2
+#ifdef BOOST_NO_STD_ITERATOR_TRAITS
+                                         , std::size_t, std::size_t&
+#endif /* BOOST_NO_STD_ITERATOR_TRAITS */
+                                         > InDeg2;
+      InDeg2 in_degree2(in_degree2_vec.begin(), in_degree2_vec.size(), index_map2);
+      compute_in_degree(G2, in_degree2);
+
+      degree_vertex_invariant<InDeg1, Graph1> invariant1(in_degree1, G1);
+      degree_vertex_invariant<InDeg2, Graph2> invariant2(in_degree2, G2);
+
+      return isomorphism(G1, G2, f,
+                         choose_param(get_param(params, vertex_invariant1_t()), invariant1),
+                         choose_param(get_param(params, vertex_invariant2_t()), invariant2),
+                         choose_param(get_param(params, vertex_max_invariant_t()), (invariant2.max)()),
+                         index_map1, index_map2
+                         );  
+    }  
+   
+  } // namespace detail
+
+
+  // Named parameter interface
+  template <typename Graph1, typename Graph2, class P, class T, class R>
+  bool isomorphism(const Graph1& g1,
+                   const Graph2& g2,
+                   const bgl_named_params<P,T,R>& params)
+  {
+    typedef typename graph_traits<Graph2>::vertex_descriptor vertex2_t;
+    typename std::vector<vertex2_t>::size_type n = num_vertices(g1);
+    std::vector<vertex2_t> f(n);
+    return detail::isomorphism_impl
+      (g1, g2, 
+       choose_param(get_param(params, vertex_isomorphism_t()),
+                    make_safe_iterator_property_map(f.begin(), f.size(),
+                                                    choose_const_pmap(get_param(params, vertex_index1),
+                                                                      g1, vertex_index), vertex2_t())),
+       choose_const_pmap(get_param(params, vertex_index1), g1, vertex_index),
+       choose_const_pmap(get_param(params, vertex_index2), g2, vertex_index),
+       params
+       );
+  }
+
+  // All defaults interface
+  template <typename Graph1, typename Graph2>
+  bool isomorphism(const Graph1& g1, const Graph2& g2)
+  {
+    return isomorphism(g1, g2,
+                       bgl_named_params<int, buffer_param_t>(0));// bogus named param
+  }
+
+
+  // Verify that the given mapping iso_map from the vertices of g1 to the
+  // vertices of g2 describes an isomorphism.
+  // Note: this could be made much faster by specializing based on the graph
+  // concepts modeled, but since we're verifying an O(n^(lg n)) algorithm,
+  // O(n^4) won't hurt us.
+  template<typename Graph1, typename Graph2, typename IsoMap>
+  inline bool verify_isomorphism(const Graph1& g1, const Graph2& g2, IsoMap iso_map)
+  {
+#if 0
+    // problematic for filtered_graph!
+    if (num_vertices(g1) != num_vertices(g2) || num_edges(g1) != num_edges(g2))
+      return false;
+#endif
+  
+    for (typename graph_traits<Graph1>::edge_iterator e1 = edges(g1).first;
+         e1 != edges(g1).second; ++e1) {
+      bool found_edge = false;
+      for (typename graph_traits<Graph2>::edge_iterator e2 = edges(g2).first;
+           e2 != edges(g2).second && !found_edge; ++e2) {
+        if (source(*e2, g2) == get(iso_map, source(*e1, g1)) &&
+            target(*e2, g2) == get(iso_map, target(*e1, g1))) {
+          found_edge = true;
+        }
+      }
+    
+      if (!found_edge)
+        return false;
+    }
+  
+    return true;
+  }
+
+} // namespace boost
+
+#ifdef BOOST_ISO_INCLUDED_ITER_MACROS
+#undef BOOST_ISO_INCLUDED_ITER_MACROS
+#include <boost/graph/iteration_macros_undef.hpp>
+#endif
+
+#endif // BOOST_GRAPH_ISOMORPHISM_HPP