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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