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1 | // Copyright 2019-2022 Cambridge Quantum Computing | |||
2 | // | |||
3 | // Licensed under the Apache License, Version 2.0 (the "License"); | |||
4 | // you may not use this file except in compliance with the License. | |||
5 | // You may obtain a copy of the License at | |||
6 | // | |||
7 | // http://www.apache.org/licenses/LICENSE-2.0 | |||
8 | // | |||
9 | // Unless required by applicable law or agreed to in writing, software | |||
10 | // distributed under the License is distributed on an "AS IS" BASIS, | |||
11 | // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | |||
12 | // See the License for the specific language governing permissions and | |||
13 | // limitations under the License. | |||
14 | ||||
15 | #pragma once | |||
16 | ||||
17 | #include <algorithm> | |||
18 | #include <boost/graph/copy.hpp> | |||
19 | #include <set> | |||
20 | #include <type_traits> | |||
21 | ||||
22 | #include "Graphs/Utils_impl.hpp" | |||
23 | #include "Utils/BiMapHeaders.hpp" | |||
24 | #include "Utils/GraphHeaders.hpp" | |||
25 | ||||
26 | namespace tket::graphs { | |||
27 | ||||
28 | using dist_vec = std::vector<std::size_t>; | |||
29 | ||||
30 | namespace utils { | |||
31 | ||||
32 | // Type synonyms for many often-used BGL types | |||
33 | ||||
34 | // BGL vertex descriptor | |||
35 | template <typename T> | |||
36 | using vertex = detail::vertex<T>; | |||
37 | // BGL edge descriptor | |||
38 | template <typename T> | |||
39 | using edge = detail::edge<T>; | |||
40 | ||||
41 | /* Compile-time boolean flag to check if boost graph type is | |||
42 | * directed or undirected graph | |||
43 | * | |||
44 | * Template Argument Graph is the boost type of the graph to be checked | |||
45 | */ | |||
46 | template <typename Graph> | |||
47 | constexpr bool is_directed = detail::is_directed_struct<Graph>::value; | |||
48 | ||||
49 | /* These utility functions are meant to offer a more consistent | |||
50 | * alternative to boost::remove_vertex, so that the vertex storage container | |||
51 | * can be changed without changes in the implementation | |||
52 | * | |||
53 | * boost::remove_vertex behaves differently depending on the vertex container | |||
54 | * type | |||
55 | * - for vecS, remove_vertex will shift vertex indices so that they remain in | |||
56 | * the continuous interval [0..n-1]. | |||
57 | * - for other types, remove_vertex will leave the vertex descriptors unchanged | |||
58 | * | |||
59 | * Instead, these wrappers behave as follows | |||
60 | * - support for explicit indices: if vertex descriptors are numbers | |||
61 | * (i.e. VertexList == vecS) or if an explicit index map is provided, indices | |||
62 | * will be shifted as with the default boost vecS implementation. | |||
63 | * - support for external map: additionally, a map from vertex descriptors to | |||
64 | * arbitrary types can be provided. The map keys will then automatically be | |||
65 | * changed to mirror the vertex descriptors changes. | |||
66 | * | |||
67 | * As a result, implementations can abstract away the vertex descriptor | |||
68 | * implementation, and either rely on explicit indices throughout, or stick to | |||
69 | * vertex descriptors and have the necessary translation maps be updated | |||
70 | * automatically | |||
71 | */ | |||
72 | template <typename Graph> | |||
73 | inline void remove_vertex(vertex<Graph> v, Graph& graph) { | |||
74 | detail::graph_utils_impl<Graph> impl(graph); | |||
75 | impl.remove_vertex(v); | |||
76 | } | |||
77 | template <typename Graph, typename PMap> | |||
78 | inline void remove_vertex(vertex<Graph> v, Graph& graph, PMap& p) { | |||
79 | detail::graph_utils_impl<Graph, PMap> impl(graph, p); | |||
80 | impl.remove_vertex(v); | |||
81 | } | |||
82 | template <typename Graph, typename PMap, typename Map> | |||
83 | inline void remove_vertex(vertex<Graph> v, Graph& graph, PMap& pmap, Map& map) { | |||
84 | detail::graph_utils_impl_with_map<Graph, Map, PMap> impl(graph, map, pmap); | |||
85 | impl.remove_vertex(v); | |||
86 | } | |||
87 | template <typename Graph, typename Map, typename PMap> | |||
88 | inline void remove_vertex_with_map( | |||
89 | vertex<Graph> v, Graph& graph, Map& map, PMap& pmap) { | |||
90 | detail::graph_utils_impl_with_map<Graph, Map, PMap> impl(graph, map, pmap); | |||
91 | impl.remove_vertex(v); | |||
92 | } | |||
93 | template <typename Graph, typename Map> | |||
94 | 1068 | inline void remove_vertex_with_map(vertex<Graph> v, Graph& graph, Map& map) { | ||
95 |
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1068 | detail::graph_utils_impl_with_map<Graph, Map> impl(graph, map); | |
96 |
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1068 | impl.remove_vertex(v); | |
97 | 1068 | } | ||
98 | ||||
99 | // like boost::remove_edge, but optionally removes disconnected vertices | |||
100 | // in which case it can also update a map as above in graph_utils::remove_vertex | |||
101 | template <typename Graph> | |||
102 | 51 | inline void remove_edge( | ||
103 | edge<Graph> e, Graph& graph, bool remove_unused_vertices = false) { | |||
104 |
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51 | detail::graph_utils_impl<Graph> impl(graph); | |
105 |
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51 | impl.remove_edge(e, remove_unused_vertices); | |
106 | 51 | } | ||
107 | template <typename Graph, typename PMap> | |||
108 | inline void remove_edge( | |||
109 | edge<Graph> e, Graph& graph, PMap& pmap, | |||
110 | bool remove_unused_vertices = false) { | |||
111 | detail::graph_utils_impl<Graph, PMap> impl(graph, pmap); | |||
112 | impl.remove_edge(e, remove_unused_vertices); | |||
113 | } | |||
114 | template <typename Graph, typename PMap, typename Map> | |||
115 | inline void remove_edge( | |||
116 | edge<Graph> e, Graph& graph, PMap& pmap, Map& map, | |||
117 | bool remove_unused_vertices = false) { | |||
118 | detail::graph_utils_impl_with_map<Graph, Map, PMap> impl(graph, map, pmap); | |||
119 | impl.remove_edge(e, remove_unused_vertices); | |||
120 | } | |||
121 | template <typename Graph, typename Map> | |||
122 | 1 | inline void remove_edge_with_map(edge<Graph> e, Graph& graph, Map& map) { | ||
123 |
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1 | detail::graph_utils_impl_with_map<Graph, Map> impl(graph, map); | |
124 |
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1 | impl.remove_edge(e); | |
125 | 1 | } | ||
126 | template <typename Graph, typename Map, typename PMap> | |||
127 | inline void remove_edge_with_map( | |||
128 | edge<Graph> e, Graph& graph, Map& map, PMap& pmap) { | |||
129 | detail::graph_utils_impl_with_map<Graph, Map, PMap> impl(graph, map, pmap); | |||
130 | impl.remove_edge(e); | |||
131 | } | |||
132 | ||||
133 | // simple wrapper around boost::copy_graph that serves | |||
134 | // to transform a directed into an undirected graph | |||
135 | template <typename GraphOut, typename GraphIn> | |||
136 | ✗ | GraphOut symmetrise(const GraphIn& g) { | ||
137 | static_assert( | |||
138 | !is_directed<GraphOut>, | |||
139 | "The GraphOut template type should be undirected. Use " | |||
140 | "boost::copy_graph otherwise"); | |||
141 | ✗ | GraphOut out; | ||
142 | ✗ | boost::copy_graph(g, out); | ||
143 | ✗ | return out; | ||
144 | } | |||
145 | ||||
146 | template <typename GraphOut, typename GraphIn> | |||
147 | GraphOut symmetrise( | |||
148 | const GraphIn& g, boost::bimap<vertex<GraphIn>, vertex<GraphOut>>& v_map) { | |||
149 | static_assert( | |||
150 | !is_directed<GraphOut>, | |||
151 | "The GraphOut template type should be undirected. Use " | |||
152 | "boost::copy_graph otherwise"); | |||
153 | GraphOut out; | |||
154 | // when vertices are copied, do the default thing but keep track of the map | |||
155 | boost::detail::vertex_copier<GraphIn, GraphOut> v_copier = | |||
156 | boost::detail::make_vertex_copier(g, out); | |||
157 | boost::copy_graph( | |||
158 | g, out, | |||
159 | boost::vertex_copy( | |||
160 | [&v_map, &v_copier](vertex<GraphIn> old_v, vertex<GraphOut> new_v) { | |||
161 | v_copier(old_v, new_v); | |||
162 | v_map.insert({old_v, new_v}); | |||
163 | })); | |||
164 | return out; | |||
165 | } | |||
166 | ||||
167 | template <typename Graph> | |||
168 | 20 | std::size_t max_degree(const Graph& g) { | ||
169 | 554 | auto degree = [&g](vertex<Graph> v) { return boost::degree(v, g); }; | ||
170 |
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20 | auto [from, to] = boost::vertices(g); | |
171 | vertex<Graph> max_vertex = | |||
172 |
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20 | *std::max_element(from, to, detail::lt_with_key<vertex<Graph>>(degree)); | |
173 |
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40 | return degree(max_vertex); | |
174 | } | |||
175 | ||||
176 | template <typename Graph> | |||
177 | 446 | std::size_t min_degree(const Graph& g) { | ||
178 | 67514 | auto degree = [&g](vertex<Graph> v) { return boost::degree(v, g); }; | ||
179 |
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446 | auto [from, to] = boost::vertices(g); | |
180 | vertex<Graph> min_vertex = | |||
181 |
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446 | *std::min_element(from, to, detail::lt_with_key<vertex<Graph>>(degree)); | |
182 |
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892 | return degree(min_vertex); | |
183 | } | |||
184 | ||||
185 | template <typename Graph> | |||
186 | 20 | std::set<vertex<Graph>> max_degree_nodes(const Graph& g) { | ||
187 |
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20 | const auto max = max_degree(g); | |
188 |
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20 | auto [from, to] = boost::vertices(g); | |
189 | 20 | std::set<vertex<Graph>> out; | ||
190 |
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20 | std::copy_if( | |
191 | from, to, std::inserter(out, out.begin()), | |||
192 | 287 | [&g, max](vertex<Graph> v) { return boost::degree(v, g) == max; }); | ||
193 | 40 | return out; | ||
194 | } | |||
195 | ||||
196 | template <typename Graph> | |||
197 | 446 | std::set<vertex<Graph>> min_degree_nodes(const Graph& g) { | ||
198 |
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446 | const auto min = min_degree(g); | |
199 |
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446 | auto [from, to] = boost::vertices(g); | |
200 | 446 | std::set<vertex<Graph>> out; | ||
201 |
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446 | std::copy_if( | |
202 | from, to, std::inserter(out, out.begin()), | |||
203 | 33980 | [&g, min](vertex<Graph> v) { return boost::degree(v, g) == min; }); | ||
204 | 892 | return out; | ||
205 | } | |||
206 | ||||
207 | } // namespace utils | |||
208 | } // namespace tket::graphs | |||
209 |