1 /* Boost interval/compare/explicit.hpp template implementation file
3 * Copyright 2000 Jens Maurer
4 * Copyright 2002 Hervé Brönnimann, Guillaume Melquiond, Sylvain Pion
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)
11 #ifndef BOOST_NUMERIC_INTERVAL_COMPARE_EXPLICIT_HPP
12 #define BOOST_NUMERIC_INTERVAL_COMPARE_EXPLICIT_HPP
14 #include <boost/numeric/interval/detail/interval_prototype.hpp>
18 namespace interval_lib {
21 * Certainly... operations
24 template<class T, class Policies1, class Policies2> inline
25 bool cerlt(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
27 return x.upper() < y.lower();
30 template<class T, class Policies> inline
31 bool cerlt(const interval<T, Policies>& x, const T& y)
36 template<class T, class Policies> inline
37 bool cerlt(const T& x, const interval<T, Policies>& y)
42 template<class T, class Policies1, class Policies2> inline
43 bool cerle(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
45 return x.upper() <= y.lower();
48 template<class T, class Policies> inline
49 bool cerle(const interval<T, Policies>& x, const T& y)
51 return x.upper() <= y;
54 template<class T, class Policies> inline
55 bool cerle(const T& x, const interval<T, Policies>& y)
57 return x <= y.lower();
60 template<class T, class Policies1, class Policies2> inline
61 bool cergt(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
63 return x.lower() > y.upper();
66 template<class T, class Policies> inline
67 bool cergt(const interval<T, Policies>& x, const T& y)
72 template<class T, class Policies> inline
73 bool cergt(const T& x, const interval<T, Policies>& y)
78 template<class T, class Policies1, class Policies2> inline
79 bool cerge(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
81 return x.lower() >= y.upper();
84 template<class T, class Policies> inline
85 bool cerge(const interval<T, Policies>& x, const T& y)
87 return x.lower() >= y;
90 template<class T, class Policies> inline
91 bool cerge(const T& x, const interval<T, Policies>& y)
93 return x >= y.upper();
96 template<class T, class Policies1, class Policies2> inline
97 bool cereq(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
99 return x.lower() == y.upper() && y.lower() == x.upper();
102 template<class T, class Policies> inline
103 bool cereq(const interval<T, Policies>& x, const T& y)
105 return x.lower() == y && x.upper() == y;
108 template<class T, class Policies> inline
109 bool cereq(const T& x, const interval<T, Policies>& y)
111 return x == y.lower() && x == y.upper();
114 template<class T, class Policies1, class Policies2> inline
115 bool cerne(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
117 return x.upper() < y.lower() || y.upper() < x.lower();
120 template<class T, class Policies> inline
121 bool cerne(const interval<T, Policies>& x, const T& y)
123 return x.upper() < y || y < x.lower();
126 template<class T, class Policies> inline
127 bool cerne(const T& x, const interval<T, Policies>& y)
129 return x < y.lower() || y.upper() < x;
133 * Possibly... comparisons
136 template<class T, class Policies1, class Policies2> inline
137 bool poslt(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
139 return x.lower() < y.upper();
142 template<class T, class Policies> inline
143 bool poslt(const interval<T, Policies>& x, const T& y)
145 return x.lower() < y;
148 template<class T, class Policies> inline
149 bool poslt(const T& x, const interval<T, Policies>& y)
151 return x < y.upper();
154 template<class T, class Policies1, class Policies2> inline
155 bool posle(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
157 return x.lower() <= y.upper();
160 template<class T, class Policies> inline
161 bool posle(const interval<T, Policies>& x, const T& y)
163 return x.lower() <= y;
166 template<class T, class Policies> inline
167 bool posle(const T& x, const interval<T, Policies>& y)
169 return x <= y.upper();
172 template<class T, class Policies1, class Policies2> inline
173 bool posgt(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
175 return x.upper() > y.lower();
178 template<class T, class Policies> inline
179 bool posgt(const interval<T, Policies>& x, const T& y)
181 return x.upper() > y;
184 template<class T, class Policies> inline
185 bool posgt(const T& x, const interval<T, Policies> & y)
187 return x > y.lower();
190 template<class T, class Policies1, class Policies2> inline
191 bool posge(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
193 return x.upper() >= y.lower();
196 template<class T, class Policies> inline
197 bool posge(const interval<T, Policies>& x, const T& y)
199 return x.upper() >= y;
202 template<class T, class Policies> inline
203 bool posge(const T& x, const interval<T, Policies>& y)
205 return x >= y.lower();
208 template<class T, class Policies1, class Policies2> inline
209 bool poseq(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
211 return x.upper() >= y.lower() && y.upper() >= x.lower();
214 template<class T, class Policies> inline
215 bool poseq(const interval<T, Policies>& x, const T& y)
217 return x.upper() >= y && y >= x.lower();
220 template<class T, class Policies> inline
221 bool poseq(const T& x, const interval<T, Policies>& y)
223 return x >= y.lower() && y.upper() >= x;
226 template<class T, class Policies1, class Policies2> inline
227 bool posne(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
229 return x.upper() != y.lower() || y.upper() != x.lower();
232 template<class T, class Policies> inline
233 bool posne(const interval<T, Policies>& x, const T& y)
235 return x.upper() != y || y != x.lower();
238 template<class T, class Policies> inline
239 bool posne(const T& x, const interval<T, Policies>& y)
241 return x != y.lower() || y.upper() != x;
244 } // namespace interval_lib
245 } // namespace numeric
248 #endif // BOOST_NUMERIC_INTERVAL_COMPARE_EXPLICIT_HPP