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1//////////////////////////////////////////////////////////////////////////////
2//
3// (C) Copyright Stephen Cleary 2000.
4// (C) Copyright Ion Gaztanaga 2007-2013.
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/container for documentation.
11//
12// This file is a slightly modified file from Boost.Pool
13//
14//////////////////////////////////////////////////////////////////////////////
15
16#ifndef BOOST_CONTAINER_DETAIL_MATH_FUNCTIONS_HPP
17#define BOOST_CONTAINER_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 <boost/container/detail/config_begin.hpp>
28#include <boost/container/detail/workaround.hpp>
29
30#include <climits>
31#include <boost/static_assert.hpp>
32
33namespace boost {
34namespace container {
35namespace container_detail {
36
37// Greatest common divisor and least common multiple
38
39//
40// gcd is an algorithm that calculates the greatest common divisor of two
41// integers, using Euclid's algorithm.
42//
43// Pre: A > 0 && B > 0
44// Recommended: A > B
45template <typename Integer>
46inline Integer gcd(Integer A, Integer B)
47{
48 do
49 {
50 const Integer tmp(B);
51 B = A % B;
52 A = tmp;
53 } while (B != 0);
54
55 return A;
56}
57
58//
59// lcm is an algorithm that calculates the least common multiple of two
60// integers.
61//
62// Pre: A > 0 && B > 0
63// Recommended: A > B
64template <typename Integer>
65inline Integer lcm(const Integer & A, const Integer & B)
66{
67 Integer ret = A;
68 ret /= gcd(A, B);
69 ret *= B;
70 return ret;
71}
72
73template <typename Integer>
74inline Integer log2_ceil(const Integer & A)
75{
76 Integer i = 0;
77 Integer power_of_2 = 1;
78
79 while(power_of_2 < A){
80 power_of_2 <<= 1;
81 ++i;
82 }
83 return i;
84}
85
86template <typename Integer>
87inline Integer upper_power_of_2(const Integer & A)
88{
89 Integer power_of_2 = 1;
90
91 while(power_of_2 < A){
92 power_of_2 <<= 1;
93 }
94 return power_of_2;
95}
96
97//This function uses binary search to discover the
98//highest set bit of the integer
99inline std::size_t floor_log2 (std::size_t x)
100{
101 const std::size_t Bits = sizeof(std::size_t)*CHAR_BIT;
102 const bool Size_t_Bits_Power_2= !(Bits & (Bits-1));
103 BOOST_STATIC_ASSERT(((Size_t_Bits_Power_2)== true));
104
105 std::size_t n = x;
106 std::size_t log2 = 0;
107
108 for(std::size_t shift = Bits >> 1; shift; shift >>= 1){
109 std::size_t tmp = n >> shift;
110 if (tmp)
111 log2 += shift, n = tmp;
112 }
113
114 return log2;
115}
116
117} // namespace container_detail
118} // namespace container
119} // namespace boost
120
121#include <boost/container/detail/config_end.hpp>
122
123#endif