1    	/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
2    	/*                                                                           */
3    	/*                  This file is part of the class library                   */
4    	/*       SoPlex --- the Sequential object-oriented simPlex.                  */
5    	/*                                                                           */
6    	/*  Copyright (c) 1996-2023 Zuse Institute Berlin (ZIB)                      */
7    	/*                                                                           */
8    	/*  Licensed under the Apache License, Version 2.0 (the "License");          */
9    	/*  you may not use this file except in compliance with the License.         */
10   	/*  You may obtain a copy of the License at                                  */
11   	/*                                                                           */
12   	/*      http://www.apache.org/licenses/LICENSE-2.0                           */
13   	/*                                                                           */
14   	/*  Unless required by applicable law or agreed to in writing, software      */
15   	/*  distributed under the License is distributed on an "AS IS" BASIS,        */
16   	/*  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. */
17   	/*  See the License for the specific language governing permissions and      */
18   	/*  limitations under the License.                                           */
19   	/*                                                                           */
20   	/*  You should have received a copy of the Apache-2.0 license                */
21   	/*  along with SoPlex; see the file LICENSE. If not email to soplex@zib.de.  */
22   	/*                                                                           */
23   	/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
24   	
25   	/**@file  spxdefines.hpp
26   	 * @brief General templated functions for SoPlex
27   	 */
28   	
29   	// Defining the static members of the Param class
30   	
31   	namespace soplex
32   	{
33   	
34   	/// returns \c true iff |a-b| <= eps
35   	template <class R, class S, class T>
36   	inline bool EQ(R a, S b, T eps)
37   	{
38   	   return spxAbs(R(a - b)) <= eps;
39   	}
40   	
41   	/// returns \c true iff |a-b| > eps
42   	template <class R, class S, class T>
43   	inline bool NE(R a, S b, T eps)
44   	{
45   	   return spxAbs(a - b) > eps;
46   	}
47   	
48   	/// returns \c true iff a < b + eps
49   	template <class R, class S, class T>
50   	inline bool LT(R a, S b, T eps)
51   	{
52   	   return (a - b) < -eps;
53   	}
54   	
55   	/// returns \c true iff a <= b + eps
56   	template <class R, class S, class T>
57   	inline bool LE(R a, S b, T eps)
58   	{
59   	   return (a - b) < eps;
60   	}
61   	
62   	/// returns \c true iff a > b + eps
63   	template <class R, class S, class T>
64   	inline bool GT(R a, S b, T eps)
65   	{
66   	   return (a - b) > eps;
67   	}
68   	
69   	/// returns \c true iff a >= b + eps
70   	template <class R, class S, class T>
71   	inline bool GE(R a, S b, T eps)
72   	{
73   	   return (a - b) > -eps;
74   	}
75   	
76   	/// returns \c true iff |a| <= eps
77   	template <class R, class T>
78   	inline bool isZero(R a, T eps)
79   	{
80   	   return spxAbs(a) <= eps;
81   	}
82   	
83   	/// returns \c true iff |a| > eps
84   	template <class R, class T>
85   	inline bool isNotZero(R a, T eps)
86   	{
87   	   return spxAbs(a) > eps;
88   	}
89   	
90   	/// returns \c true iff |relDiff(a,b)| <= eps
91   	template <class R, class S, class T>
92   	inline bool EQrel(R a, S b, T eps)
93   	{
94   	   return spxAbs(relDiff(a, b)) <= eps;
95   	}
96   	
97   	/// returns \c true iff |relDiff(a,b)| > eps
98   	template <class R, class S, class T>
99   	inline bool NErel(R a, S b, T eps)
100  	{
101  	   return spxAbs(relDiff(a, b)) > eps;
102  	}
103  	
104  	/// returns \c true iff relDiff(a,b) <= -eps
105  	template <class R, class S, class T>
106  	inline bool LTrel(R a, S b, T eps)
107  	{
108  	   return relDiff(a, b) <= -eps;
109  	}
110  	
111  	/// returns \c true iff relDiff(a,b) <= eps
112  	template <class R, class S, class T>
113  	inline bool LErel(R a, S b, T eps)
114  	{
115  	   return relDiff(a, b) <= eps;
116  	}
117  	
118  	/// returns \c true iff relDiff(a,b) > eps
119  	template <class R, class S, class T>
120  	inline bool GTrel(R a, S b, T eps)
121  	{
122  	   return relDiff(a, b) > eps;
123  	}
124  	
125  	/// returns \c true iff relDiff(a,b) > -eps
126  	template <class R, class S, class T>
127  	inline bool GErel(R a, S b, T eps)
128  	{
129  	   return relDiff(a, b) > -eps;
130  	}
131  	
132  	// Instantiation for Real
133  	inline Real spxLdexp(Real x, int exp)
134  	{
135  	   return std::ldexp(x, exp);
136  	}
137  	
138  	inline Real spxFrexp(Real x, int* exp)
139  	{
140  	   return std::frexp(x, exp);
141  	}
142  	
143  	} // namespace soplex
144