claw  1.9.0
real_number.hpp
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1 /*
2  CLAW - a C++ Library Absolutely Wonderful
3 
4  CLAW is a free library without any particular aim but being useful to
5  anyone.
6 
7  Copyright (C) 2005-2011 Julien Jorge
8 
9  This library is free software; you can redistribute it and/or
10  modify it under the terms of the GNU Lesser General Public
11  License as published by the Free Software Foundation; either
12  version 2.1 of the License, or (at your option) any later version.
13 
14  This library is distributed in the hope that it will be useful,
15  but WITHOUT ANY WARRANTY; without even the implied warranty of
16  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
17  Lesser General Public License for more details.
18 
19  You should have received a copy of the GNU Lesser General Public
20  License along with this library; if not, write to the Free Software
21  Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
22 
23  contact: julien.jorge@stuff-o-matic.com
24 */
30 #ifndef __CLAW_REAL_NUMBER_HPP__
31 #define __CLAW_REAL_NUMBER_HPP__
32 
33 #include <iostream>
34 #include <limits>
35 
36 namespace claw
37 {
38  template <typename T>
39  class real_number;
40 }
41 
42 template <typename T>
43 std::istream& operator>>(std::istream& is, claw::real_number<T>& self);
44 
45 namespace claw
46 {
51  template <typename T>
52  struct make_epsilon
53  {
54  static T value(T v)
55  {
56  return std::abs(v) <= 1
57  ? std::numeric_limits<T>::epsilon()
58  : std::abs(v) * std::numeric_limits<T>::epsilon();
59  }
60  }; // struct make_epsilon
61 
66  template <typename T>
67  class real_number
68  {
69  friend std::istream& ::operator>><>(std::istream& is,
70  real_number<T>& self);
71 
72  public:
73  typedef T value_type;
74  typedef real_number<T> self_type;
75 
76  public:
77  real_number();
78  real_number(const value_type& v);
79  real_number(const self_type& that);
80 
81  self_type abs() const;
82 
83  bool operator<(const self_type& that) const;
84  bool operator<=(const self_type& that) const;
85  bool operator>(const self_type& that) const;
86  bool operator>=(const self_type& that) const;
87  bool operator==(const self_type& that) const;
88  bool operator!=(const self_type& that) const;
89 
90  self_type operator+(const self_type& that) const;
91  self_type operator-(const self_type& that) const;
92  self_type operator*(const self_type& that) const;
93  self_type operator/(const self_type& that) const;
94 
95  self_type& operator+=(const self_type& that);
96  self_type& operator-=(const self_type& that);
97  self_type& operator*=(const self_type& that);
98  self_type& operator/=(const self_type& that);
99 
100  std::ostream& output(std::ostream& os) const;
101 
102  template <typename U>
103  operator U() const;
104 
105  private:
107  value_type m_value;
108 
110  value_type m_epsilon;
111 
112  }; // class real_number
113 }
114 
115 namespace std
116 {
117  template <typename T>
118  struct numeric_limits<claw::real_number<T> > : public numeric_limits<T>
119  {}; // struct numeric_limits
120 
121  template <typename T>
123 }
124 
125 // unary minus
126 template <typename T>
127 claw::real_number<T> operator-(const claw::real_number<T>& self);
128 
129 template <typename T>
130 claw::real_number<T> operator-(T v, const claw::real_number<T>& self);
131 
132 template <typename T>
133 std::ostream& operator<<(std::ostream& os, const claw::real_number<T>& self);
134 template <typename T>
135 std::istream& operator>>(std::istream& is, claw::real_number<T>& self);
136 
137 #include "claw/real_number.tpp"
138 
139 #endif // __CLAW_REAL_NUMBER_HPP__
Custom precision real numbers.
Definition: real_number.hpp:39
This class generates an epsilon value of a given precision.
Definition: real_number.hpp:52
This is the main namespace.
Definition: application.hpp:49