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1 //////////////////////////////////////////////////////////////////////////////
2 //
3 // (C) Copyright Stephen Cleary 2000.
4 // (C) Copyright Ion Gaztanaga 2007-2012.
5 //
6 // Distributed under the Boost Software License, Version 1.0.
7 // (See accompanying file LICENSE_1_0.txt or copy at
8 // http://www.boost.org/LICENSE_1_0.txt)
9 //
10 // See http://www.boost.org/libs/interprocess for documentation.
11 //
12 // This file is a slightly modified file from Boost.Pool
13 //
14 //////////////////////////////////////////////////////////////////////////////
15
16 #ifndef BOOST_INTERPROCESS_DETAIL_MATH_FUNCTIONS_HPP
17 #define BOOST_INTERPROCESS_DETAIL_MATH_FUNCTIONS_HPP
18
19 #ifndef BOOST_CONFIG_HPP
20 # include <boost/config.hpp>
21 #endif
22 #
23 #if defined(BOOST_HAS_PRAGMA_ONCE)
24 # pragma once
25 #endif
26
27 #include <climits>
28 #include <boost/static_assert.hpp>
29
30 namespace boost {
31 namespace interprocess {
32 namespace ipcdetail {
33
34 // Greatest common divisor and least common multiple
35
36 //
37 // gcd is an algorithm that calculates the greatest common divisor of two
38 // integers, using Euclid's algorithm.
39 //
40 // Pre: A > 0 && B > 0
41 // Recommended: A > B
42 template <typename Integer>
43 inline Integer gcd(Integer A, Integer B)
44 {
45 do
46 {
47 const Integer tmp(B);
48 B = A % B;
49 A = tmp;
50 } while (B != 0);
51
52 return A;
53 }
54
55 //
56 // lcm is an algorithm that calculates the least common multiple of two
57 // integers.
58 //
59 // Pre: A > 0 && B > 0
60 // Recommended: A > B
61 template <typename Integer>
62 inline Integer lcm(const Integer & A, const Integer & B)
63 {
64 Integer ret = A;
65 ret /= gcd(A, B);
66 ret *= B;
67 return ret;
68 }
69
70 template <typename Integer>
71 inline Integer log2_ceil(const Integer & A)
72 {
73 Integer i = 0;
74 Integer power_of_2 = 1;
75
76 while(power_of_2 < A){
77 power_of_2 <<= 1;
78 ++i;
79 }
80 return i;
81 }
82
83 template <typename Integer>
84 inline Integer upper_power_of_2(const Integer & A)
85 {
86 Integer power_of_2 = 1;
87
88 while(power_of_2 < A){
89 power_of_2 <<= 1;
90 }
91 return power_of_2;
92 }
93
94 //This function uses binary search to discover the
95 //highest set bit of the integer
96 inline std::size_t floor_log2 (std::size_t x)
97 {
98 const std::size_t Bits = sizeof(std::size_t)*CHAR_BIT;
99 const bool Size_t_Bits_Power_2= !(Bits & (Bits-1));
100 BOOST_STATIC_ASSERT(((Size_t_Bits_Power_2)== true));
101
102 std::size_t n = x;
103 std::size_t log2 = 0;
104
105 for(std::size_t shift = Bits >> 1; shift; shift >>= 1){
106 std::size_t tmp = n >> shift;
107 if (tmp)
108 log2 += shift, n = tmp;
109 }
110
111 return log2;
112 }
113
114 } // namespace ipcdetail
115 } // namespace interprocess
116 } // namespace boost
117
118 #endif