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
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
|
/*
* partition.h -- a disjoint set of pairwise equivalent items
*
* Copyright (c) 2007-2010, Dmitry Prokoptsev <dprokoptsev@gmail.com>,
* Alexander Gololobov <agololobov@gmail.com>
*
* This file is part of Pire, the Perl Incompatible
* Regular Expressions library.
*
* Pire is free software: you can redistribute it and/or modify
* it under the terms of the GNU Lesser Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* Pire 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 Lesser Public License for more details.
* You should have received a copy of the GNU Lesser Public License
* along with Pire. If not, see <http://www.gnu.org/licenses>.
*/
#ifndef PIRE_PARTITION_H
#define PIRE_PARTITION_H
#include <contrib/libs/pire/pire/stub/stl.h>
#include <contrib/libs/pire/pire/stub/singleton.h>
namespace Pire {
/*
* A class which forms a disjoint set of pairwise equivalent items,
* depending on given equivalence relation.
*/
template<class T, class Eq>
class Partition {
private:
typedef TMap< T, ypair< size_t, TVector<T> > > Set;
public:
Partition(const Eq& eq)
: m_eq(eq)
, m_maxidx(0)
{
}
/// Appends a new item into partition, creating new equivalience class if neccessary.
void Append(const T& t) {
DoAppend(m_set, t);
}
typedef typename Set::const_iterator ConstIterator;
ConstIterator Begin() const {
return m_set.begin();
}
ConstIterator begin() const {
return m_set.begin();
}
ConstIterator End() const {
return m_set.end();
}
ConstIterator end() const {
return m_set.end();
}
size_t Size() const {
return m_set.size();
}
bool Empty() const {
return m_set.empty();
}
/// Returns an item equal to @p t. It is guaranteed that:
/// - representative(a) equals representative(b) iff a is equivalent to b;
/// - representative(a) is equivalent to a.
const T& Representative(const T& t) const
{
auto it = m_inv.find(t);
if (it != m_inv.end())
return it->second;
else
return DefaultValue<T>();
}
bool Contains(const T& t) const
{
return m_inv.find(t) != m_inv.end();
}
/// Returns an index of set containing @p t. It is guaranteed that:
/// - index(a) equals index(b) iff a is equivalent to b;
/// - 0 <= index(a) < size().
size_t Index(const T& t) const
{
auto it = m_inv.find(t);
if (it == m_inv.end())
throw Error("Partition::index(): attempted to obtain an index of nonexistent item");
auto it2 = m_set.find(it->second);
Y_ASSERT(it2 != m_set.end());
return it2->second.first;
}
/// Returns the whole equivalence class of @p t (i.e. item @p i
/// is returned iff representative(i) == representative(t)).
const TVector<T>& Klass(const T& t) const
{
auto it = m_inv.find(t);
if (it == m_inv.end())
throw Error("Partition::index(): attempted to obtain an index of nonexistent item");
auto it2 = m_set.find(it->second);
Y_ASSERT(it2 != m_set.end());
return it2->second.second;
}
bool operator == (const Partition& rhs) const { return m_set == rhs.m_set; }
bool operator != (const Partition& rhs) const { return !(*this == rhs); }
/// Splits the current sets into smaller ones, using given equivalence relation.
/// Requires given relation imply previous one (set either in ctor or
/// in preceeding calls to split()), but performs faster.
/// Replaces previous relation with given one.
void Split(const Eq& eq)
{
m_eq = eq;
for (auto&& element : m_set)
if (element.second.second.size() > 1) {
TVector<T>& v = element.second.second;
auto bound = std::partition(v.begin(), v.end(), std::bind2nd(m_eq, v[0]));
if (bound == v.end())
continue;
Set delta;
for (auto it = bound, ie = v.end(); it != ie; ++it)
DoAppend(delta, *it);
v.erase(bound, v.end());
m_set.insert(delta.begin(), delta.end());
}
}
private:
Eq m_eq;
Set m_set;
TMap<T, T> m_inv;
size_t m_maxidx;
void DoAppend(Set& set, const T& t)
{
auto it = set.begin();
auto end = set.end();
for (; it != end; ++it)
if (m_eq(it->first, t)) {
it->second.second.push_back(t);
m_inv[t] = it->first;
break;
}
if (it == end) {
// Begin new set
TVector<T> v(1, t);
set.insert(ymake_pair(t, ymake_pair(m_maxidx++, v)));
m_inv[t] = t;
}
}
};
// Mainly for debugging
template<class T, class Eq>
yostream& operator << (yostream& stream, const Partition<T, Eq>& partition)
{
stream << "Partition {\n";
for (auto&& partitionElement : partition) {
stream << " Class " << partitionElement.second.first << " \"" << partitionElement.first << "\" { ";
bool first = false;
for (auto&& element : partitionElement.second.second) {
if (first)
stream << ", ";
else
first = true;
stream << element;
}
stream << " }\n";
}
stream << "}";
return stream;
}
}
#endif
|