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1 /* Boost interval/compare/explicit.hpp template implementation file
2 *
3 * Copyright 2000 Jens Maurer
4 * Copyright 2002 Hervé Brönnimann, Guillaume Melquiond, Sylvain Pion
5 *
6 * Distributed under the Boost Software License, Version 1.0.
7 * (See accompanying file LICENSE_1_0.txt or
8 * copy at http://www.boost.org/LICENSE_1_0.txt)
9 */
10
11 #ifndef BOOST_NUMERIC_INTERVAL_COMPARE_EXPLICIT_HPP
12 #define BOOST_NUMERIC_INTERVAL_COMPARE_EXPLICIT_HPP
13
14 #include <boost/numeric/interval/detail/interval_prototype.hpp>
15
16 namespace boost {
17 namespace numeric {
18 namespace interval_lib {
19
20 /*
21 * Certainly... operations
22 */
23
24 template<class T, class Policies1, class Policies2> inline
25 bool cerlt(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
26 {
27 return x.upper() < y.lower();
28 }
29
30 template<class T, class Policies> inline
31 bool cerlt(const interval<T, Policies>& x, const T& y)
32 {
33 return x.upper() < y;
34 }
35
36 template<class T, class Policies> inline
37 bool cerlt(const T& x, const interval<T, Policies>& y)
38 {
39 return x < y.lower();
40 }
41
42 template<class T, class Policies1, class Policies2> inline
43 bool cerle(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
44 {
45 return x.upper() <= y.lower();
46 }
47
48 template<class T, class Policies> inline
49 bool cerle(const interval<T, Policies>& x, const T& y)
50 {
51 return x.upper() <= y;
52 }
53
54 template<class T, class Policies> inline
55 bool cerle(const T& x, const interval<T, Policies>& y)
56 {
57 return x <= y.lower();
58 }
59
60 template<class T, class Policies1, class Policies2> inline
61 bool cergt(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
62 {
63 return x.lower() > y.upper();
64 }
65
66 template<class T, class Policies> inline
67 bool cergt(const interval<T, Policies>& x, const T& y)
68 {
69 return x.lower() > y;
70 }
71
72 template<class T, class Policies> inline
73 bool cergt(const T& x, const interval<T, Policies>& y)
74 {
75 return x > y.upper();
76 }
77
78 template<class T, class Policies1, class Policies2> inline
79 bool cerge(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
80 {
81 return x.lower() >= y.upper();
82 }
83
84 template<class T, class Policies> inline
85 bool cerge(const interval<T, Policies>& x, const T& y)
86 {
87 return x.lower() >= y;
88 }
89
90 template<class T, class Policies> inline
91 bool cerge(const T& x, const interval<T, Policies>& y)
92 {
93 return x >= y.upper();
94 }
95
96 template<class T, class Policies1, class Policies2> inline
97 bool cereq(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
98 {
99 return x.lower() == y.upper() && y.lower() == x.upper();
100 }
101
102 template<class T, class Policies> inline
103 bool cereq(const interval<T, Policies>& x, const T& y)
104 {
105 return x.lower() == y && x.upper() == y;
106 }
107
108 template<class T, class Policies> inline
109 bool cereq(const T& x, const interval<T, Policies>& y)
110 {
111 return x == y.lower() && x == y.upper();
112 }
113
114 template<class T, class Policies1, class Policies2> inline
115 bool cerne(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
116 {
117 return x.upper() < y.lower() || y.upper() < x.lower();
118 }
119
120 template<class T, class Policies> inline
121 bool cerne(const interval<T, Policies>& x, const T& y)
122 {
123 return x.upper() < y || y < x.lower();
124 }
125
126 template<class T, class Policies> inline
127 bool cerne(const T& x, const interval<T, Policies>& y)
128 {
129 return x < y.lower() || y.upper() < x;
130 }
131
132 /*
133 * Possibly... comparisons
134 */
135
136 template<class T, class Policies1, class Policies2> inline
137 bool poslt(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
138 {
139 return x.lower() < y.upper();
140 }
141
142 template<class T, class Policies> inline
143 bool poslt(const interval<T, Policies>& x, const T& y)
144 {
145 return x.lower() < y;
146 }
147
148 template<class T, class Policies> inline
149 bool poslt(const T& x, const interval<T, Policies>& y)
150 {
151 return x < y.upper();
152 }
153
154 template<class T, class Policies1, class Policies2> inline
155 bool posle(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
156 {
157 return x.lower() <= y.upper();
158 }
159
160 template<class T, class Policies> inline
161 bool posle(const interval<T, Policies>& x, const T& y)
162 {
163 return x.lower() <= y;
164 }
165
166 template<class T, class Policies> inline
167 bool posle(const T& x, const interval<T, Policies>& y)
168 {
169 return x <= y.upper();
170 }
171
172 template<class T, class Policies1, class Policies2> inline
173 bool posgt(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
174 {
175 return x.upper() > y.lower();
176 }
177
178 template<class T, class Policies> inline
179 bool posgt(const interval<T, Policies>& x, const T& y)
180 {
181 return x.upper() > y;
182 }
183
184 template<class T, class Policies> inline
185 bool posgt(const T& x, const interval<T, Policies> & y)
186 {
187 return x > y.lower();
188 }
189
190 template<class T, class Policies1, class Policies2> inline
191 bool posge(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
192 {
193 return x.upper() >= y.lower();
194 }
195
196 template<class T, class Policies> inline
197 bool posge(const interval<T, Policies>& x, const T& y)
198 {
199 return x.upper() >= y;
200 }
201
202 template<class T, class Policies> inline
203 bool posge(const T& x, const interval<T, Policies>& y)
204 {
205 return x >= y.lower();
206 }
207
208 template<class T, class Policies1, class Policies2> inline
209 bool poseq(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
210 {
211 return x.upper() >= y.lower() && y.upper() >= x.lower();
212 }
213
214 template<class T, class Policies> inline
215 bool poseq(const interval<T, Policies>& x, const T& y)
216 {
217 return x.upper() >= y && y >= x.lower();
218 }
219
220 template<class T, class Policies> inline
221 bool poseq(const T& x, const interval<T, Policies>& y)
222 {
223 return x >= y.lower() && y.upper() >= x;
224 }
225
226 template<class T, class Policies1, class Policies2> inline
227 bool posne(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
228 {
229 return x.upper() != y.lower() || y.upper() != x.lower();
230 }
231
232 template<class T, class Policies> inline
233 bool posne(const interval<T, Policies>& x, const T& y)
234 {
235 return x.upper() != y || y != x.lower();
236 }
237
238 template<class T, class Policies> inline
239 bool posne(const T& x, const interval<T, Policies>& y)
240 {
241 return x != y.lower() || y.upper() != x;
242 }
243
244 } // namespace interval_lib
245 } // namespace numeric
246 } //namespace boost
247
248 #endif // BOOST_NUMERIC_INTERVAL_COMPARE_EXPLICIT_HPP