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
194
195
196
197
198
199
200
201
|
/*
* Copyright (c) 2002-2005 The Regents of The University of Michigan
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are
* met: redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer;
* redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution;
* neither the name of the copyright holders nor the names of its
* contributors may be used to endorse or promote products derived from
* this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
template<class T, T MV>
class ModNum {
private:
T value;
// Compiler should optimize this
void setValue(T n) { value = n % MV; }
public:
ModNum() {}
ModNum(T n) { setValue(n); }
ModNum(const ModNum<T, MV> &n) : value(n.value) {}
ModNum operator=(T n) {
setValue(n);
return *this;
}
const ModNum operator=(ModNum n) {
value = n.value;
return *this;
}
// Return the value if object used as RHS
operator T() const { return value; }
//
// Operator "+="
//
const ModNum<T, MV> operator+=(ModNum<T, MV> r) {
setValue(value + r.value);
return *this;
}
const ModNum<T, MV> operator+=(T r) {
setValue(value + r);
return *this;
}
//
// Operator "-="
//
const ModNum<T, MV> operator-=(ModNum<T, MV> r) {
setValue(value - r.value);
return *this;
}
const ModNum<T, MV> operator-=(T r) {
setValue(value - r);
return *this;
}
//
// Operator "++"
//
// PREFIX (like ++a)
const ModNum<T, MV> operator++() {
*this += 1;
return *this;
}
// POSTFIX (like a++)
const ModNum<T, MV> operator++(int) {
ModNum<T, MV> rv = *this;
*this += 1;
return rv;
}
//
// Operator "--"
//
// PREFIX (like --a)
const ModNum<T, MV> operator--() {
*this -= 1;
return *this;
}
// POSTFIX (like a--)
const ModNum<T, MV> operator--(int) {
ModNum<T, MV> rv = *this;
*this -= 1;
return rv;
}
};
//
// Define operator "+" like this to avoid creating a temporary
//
template<class T, T MV>
inline ModNum<T, MV>
operator+(ModNum<T, MV> l, ModNum<T, MV> r) {
l += r;
return l;
}
template<class T, T MV>
inline ModNum<T, MV>
operator+(ModNum<T, MV> l, T r) {
l += r;
return l;
}
template<class T, T MV>
inline ModNum<T, MV>
operator+(T l, ModNum<T, MV> r) {
r += l;
return r;
}
//
// Define operator "-" like this to avoid creating a temporary
//
template<class T, T MV>
inline ModNum<T, MV>
operator-(ModNum<T, MV> l, ModNum<T, MV> r) {
l -= r;
return l;
}
template<class T, T MV>
inline ModNum<T, MV>
operator-(ModNum<T, MV> l, T r) {
l -= r;
return l;
}
template<class T, T MV>
inline ModNum<T, MV>
operator-(T l, ModNum<T, MV> r) {
r -= l;
return r;
}
//
// Comparison operators
// (all other cases are handled with conversons)
//
template<class T, T MV>
inline bool
operator<(ModNum<T, MV> l, ModNum<T, MV> r) {
return l.value < r.value;
}
template<class T, T MV>
inline bool
operator>(ModNum<T, MV> l, ModNum<T, MV> r) {
return l.value > r.value;
}
template<class T, T MV>
inline bool
operator==(ModNum<T, MV> l, ModNum<T, MV> r) {
return l.value == r.value;
}
template<class T, T MV>
inline bool
operator<=(ModNum<T, MV> l, ModNum<T, MV> r) {
return l.value <= r.value;
}
template<class T, T MV>
inline bool
operator>=(ModNum<T, MV> l, ModNum<T, MV> r) {
return l.value >= r.value;
}
|
