blob: 34a4dfe5ace8d05b0bea0270512e659d292f27c3 (
plain) (
blame)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
|
/*
This file is part of solidity.
solidity is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
solidity is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with solidity. If not, see <http://www.gnu.org/licenses/>.
*/
#pragma once
#include <functional>
#include <set>
namespace dev
{
/**
* Detector for cycles in directed graphs. It returns the first
* vertex on the path towards a cycle or a nullptr if there is
* no reachable cycle starting from a given vertex.
*/
template <typename V>
class CycleDetector
{
public:
using Visitor = std::function<void(V const&, CycleDetector&, size_t)>;
/// Initializes the cycle detector
/// @param _visit function that is given the current vertex
/// and is supposed to call @a run on all
/// adjacent vertices.
explicit CycleDetector(Visitor _visit):
m_visit(std::move(_visit))
{ }
/// Recursively perform cycle detection starting
/// (or continuing) with @param _vertex
/// @returns the first vertex on the path towards a cycle from @a _vertex
/// or nullptr if no cycle is reachable from @a _vertex.
V const* run(V const& _vertex)
{
if (m_firstCycleVertex)
return m_firstCycleVertex;
if (m_processed.count(&_vertex))
return nullptr;
else if (m_processing.count(&_vertex))
return m_firstCycleVertex = &_vertex;
m_processing.insert(&_vertex);
m_depth++;
m_visit(_vertex, *this, m_depth);
m_depth--;
if (m_firstCycleVertex && m_depth == 1)
m_firstCycleVertex = &_vertex;
m_processing.erase(&_vertex);
m_processed.insert(&_vertex);
return m_firstCycleVertex;
}
private:
Visitor m_visit;
std::set<V const*> m_processing;
std::set<V const*> m_processed;
size_t m_depth = 0;
V const* m_firstCycleVertex = nullptr;
};
/**
* Generic breadth first search.
*
* Example: Gather all (recursive) children in a graph starting at (and including) ``root``:
*
* Node const* root = ...;
* std::set<Node> allNodes = BreadthFirstSearch<Node>{{root}}.run([](Node const& _node, auto&& _addChild) {
* // Potentially process ``_node``.
* for (Node const& _child: _node.children())
* // Potentially filter the children to be visited.
* _addChild(_child);
* }).visited;
*
* Note that the order of the traversal is *non-deterministic* (the children are stored in a std::set of pointers).
*/
template<typename V>
struct BreadthFirstSearch
{
/// Runs the breadth first search. The verticesToTraverse member of the struct needs to be initialized.
/// @param _forEachChild is a callable of the form [...](V const& _node, auto&& _addChild) { ... }
/// that is called for each visited node and is supposed to call _addChild(childNode) for every child
/// node of _node.
template<typename ForEachChild>
BreadthFirstSearch& run(ForEachChild&& _forEachChild)
{
while (!verticesToTraverse.empty())
{
V const* v = *verticesToTraverse.begin();
verticesToTraverse.erase(verticesToTraverse.begin());
visited.insert(v);
_forEachChild(*v, [this](V const& _vertex) {
if (!visited.count(&_vertex))
verticesToTraverse.insert(&_vertex);
});
}
return *this;
}
std::set<V const*> verticesToTraverse;
std::set<V const*> visited{};
};
}
|