1 | // -------------------------------------
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2 | // integer_log2.hpp
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3 | //
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4 | // Gives the integer part of the logarithm, in base 2, of a
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5 | // given number. Behavior is undefined if the argument is <= 0.
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6 | //
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7 | //
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8 | // (C) Copyright Gennaro Prota 2003 - 2004.
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9 | //
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10 | // Distributed under the Boost Software License, Version 1.0.
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11 | // (See accompanying file LICENSE_1_0.txt or copy at
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12 | // http://www.boost.org/LICENSE_1_0.txt)
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13 | //
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14 | // ------------------------------------------------------
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15 |
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16 |
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17 |
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18 | #ifndef BOOST_INTEGER_LOG2_HPP_GP_20030301
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19 | #define BOOST_INTEGER_LOG2_HPP_GP_20030301
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20 |
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21 | #include <cassert>
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22 | #include <climits> // actually used for Borland only
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23 | #include "boost/limits.hpp"
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24 | #include "boost/config.hpp"
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25 |
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26 |
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27 | namespace boost {
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28 | namespace detail {
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29 |
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30 | template <typename T>
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31 | int integer_log2_impl(T x, int n) {
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32 |
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33 | int result = 0;
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34 |
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35 | while (x != 1) {
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36 |
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37 | const T t = x >> n;
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38 | if (t) {
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39 | result += n;
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40 | x = t;
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41 | }
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42 | n /= 2;
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43 |
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44 | }
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45 |
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46 | return result;
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47 | }
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48 |
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49 |
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50 |
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51 | // helper to find the maximum power of two
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52 | // less than p (more involved than necessary,
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53 | // to avoid PTS)
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54 | //
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55 | template <int p, int n>
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56 | struct max_pow2_less {
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57 |
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58 | enum { c = 2*n < p };
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59 |
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60 | BOOST_STATIC_CONSTANT(int, value =
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61 | c ? (max_pow2_less< c*p, 2*c*n>::value) : n);
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62 |
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63 | };
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64 |
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65 | template <>
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66 | struct max_pow2_less<0, 0> {
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67 |
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68 | BOOST_STATIC_CONSTANT(int, value = 0);
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69 | };
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70 |
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71 | // this template is here just for Borland :(
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72 | // we could simply rely on numeric_limits but sometimes
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73 | // Borland tries to use numeric_limits<const T>, because
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74 | // of its usual const-related problems in argument deduction
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75 | // - gps
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76 | template <typename T>
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77 | struct width {
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78 |
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79 | #ifdef __BORLANDC__
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80 | BOOST_STATIC_CONSTANT(int, value = sizeof(T) * CHAR_BIT);
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81 | #else
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82 | BOOST_STATIC_CONSTANT(int, value = (std::numeric_limits<T>::digits));
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83 | #endif
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84 |
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85 | };
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86 |
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87 | } // detail
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88 |
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89 |
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90 | // ---------
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91 | // integer_log2
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92 | // ---------------
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93 | //
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94 | template <typename T>
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95 | int integer_log2(T x) {
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96 |
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97 | assert(x > 0);
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98 |
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99 | const int n = detail::max_pow2_less<
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100 | detail::width<T> :: value, 4
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101 | > :: value;
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102 |
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103 | return detail::integer_log2_impl(x, n);
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104 |
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105 | }
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106 |
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107 |
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108 |
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109 | }
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110 |
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111 |
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112 |
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113 | #endif // include guard
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