| 1 | /////////////////////////////////////////////////////////////// |
| 2 | // Copyright Jens Maurer 2000-2021 |
| 3 | // Copyright Steven Watanabe 2011-2021 |
| 4 | // Copyright John Maddock 2015-2021 |
| 5 | // Copyright Matt Borland 2021 |
| 6 | // Distributed under the Boost Software License, Version 1.0. |
| 7 | // (See accompanying file LICENSE_1_0.txt or copy at |
| 8 | // https://www.boost.org/LICENSE_1_0.txt |
| 9 | // |
| 10 | // This is a C++11 compliant port of Boost.Random's implementation |
| 11 | // of uniform_int_distribution. See their comments for detailed |
| 12 | // descriptions |
| 13 | |
| 14 | #ifndef BOOST_MP_UNIFORM_INT_DISTRIBUTION_HPP |
| 15 | #define BOOST_MP_UNIFORM_INT_DISTRIBUTION_HPP |
| 16 | |
| 17 | #include <limits> |
| 18 | #include <type_traits> |
| 19 | #include <boost/multiprecision/detail/standalone_config.hpp> |
| 20 | #include <boost/multiprecision/detail/assert.hpp> |
| 21 | #include <boost/multiprecision/traits/std_integer_traits.hpp> |
| 22 | |
| 23 | namespace boost { namespace multiprecision { |
| 24 | |
| 25 | namespace detail { |
| 26 | |
| 27 | template <typename T, bool intrinsic> |
| 28 | struct make_unsigned_impl |
| 29 | { |
| 30 | using type = typename boost::multiprecision::detail::make_unsigned<T>::type; |
| 31 | }; |
| 32 | |
| 33 | template <typename T> |
| 34 | struct make_unsigned_impl<T, false> |
| 35 | { |
| 36 | using type = T; |
| 37 | }; |
| 38 | |
| 39 | template <typename T> |
| 40 | struct make_unsigned_mp |
| 41 | { |
| 42 | using type = typename make_unsigned_impl<T, boost::multiprecision::detail::is_integral<T>::value>::type; |
| 43 | }; |
| 44 | |
| 45 | template <typename Engine, typename T> |
| 46 | T generate_uniform_int (Engine& eng, T min_value, T max_value) |
| 47 | { |
| 48 | using range_type = typename boost::multiprecision::detail::make_unsigned_mp<T>::type; |
| 49 | using base_result = typename Engine::result_type; |
| 50 | using base_unsigned = typename boost::multiprecision::detail::make_unsigned_mp<base_result>::type; |
| 51 | |
| 52 | const range_type range = max_value - min_value; |
| 53 | const base_result bmin = (eng.min)(); |
| 54 | const base_unsigned brange = (eng.max)() - (eng.min)(); |
| 55 | |
| 56 | if(range == 0) |
| 57 | { |
| 58 | return min_value; |
| 59 | } |
| 60 | else if (brange < range) |
| 61 | { |
| 62 | for(;;) |
| 63 | { |
| 64 | range_type limit; |
| 65 | if(range == (std::numeric_limits<range_type>::max)()) |
| 66 | { |
| 67 | limit = range / (range_type(brange) + 1); |
| 68 | if(range % (range_type(brange) + 1) == range_type(brange)) |
| 69 | { |
| 70 | ++limit; |
| 71 | } |
| 72 | } |
| 73 | else |
| 74 | { |
| 75 | limit = (range + 1) / (range_type(brange) + 1); |
| 76 | } |
| 77 | |
| 78 | range_type result = 0; |
| 79 | range_type mult = 1; |
| 80 | |
| 81 | while (mult <= limit) |
| 82 | { |
| 83 | result += static_cast<range_type>(static_cast<range_type>(eng() - bmin) * mult); |
| 84 | |
| 85 | if(mult * range_type(brange) == range - mult + 1) |
| 86 | { |
| 87 | return(result); |
| 88 | } |
| 89 | |
| 90 | mult *= range_type(brange)+range_type(1); |
| 91 | } |
| 92 | |
| 93 | range_type result_increment = generate_uniform_int(eng, range_type(0), range_type(range/mult)); |
| 94 | |
| 95 | if(std::numeric_limits<range_type>::is_bounded && ((std::numeric_limits<range_type>::max)() / mult < result_increment)) |
| 96 | { |
| 97 | continue; |
| 98 | } |
| 99 | |
| 100 | result_increment *= mult; |
| 101 | result += result_increment; |
| 102 | |
| 103 | if(result < result_increment) |
| 104 | { |
| 105 | continue; |
| 106 | } |
| 107 | if(result > range) |
| 108 | { |
| 109 | continue; |
| 110 | } |
| 111 | |
| 112 | return result + min_value; |
| 113 | } |
| 114 | } |
| 115 | else |
| 116 | { |
| 117 | using mixed_range_type = |
| 118 | typename std::conditional<std::numeric_limits<range_type>::is_specialized && std::numeric_limits<base_unsigned>::is_specialized && |
| 119 | (std::numeric_limits<range_type>::digits >= std::numeric_limits<base_unsigned>::digits), |
| 120 | range_type, base_unsigned>::type; |
| 121 | |
| 122 | mixed_range_type bucket_size; |
| 123 | |
| 124 | if(brange == (std::numeric_limits<base_unsigned>::max)()) |
| 125 | { |
| 126 | bucket_size = static_cast<mixed_range_type>(brange) / (static_cast<mixed_range_type>(range)+1); |
| 127 | if(static_cast<mixed_range_type>(brange) % (static_cast<mixed_range_type>(range)+1) == static_cast<mixed_range_type>(range)) |
| 128 | { |
| 129 | ++bucket_size; |
| 130 | } |
| 131 | } |
| 132 | else |
| 133 | { |
| 134 | bucket_size = static_cast<mixed_range_type>(brange + 1) / (static_cast<mixed_range_type>(range)+1); |
| 135 | } |
| 136 | |
| 137 | for(;;) |
| 138 | { |
| 139 | mixed_range_type result = eng() - bmin; |
| 140 | result /= bucket_size; |
| 141 | |
| 142 | if(result <= static_cast<mixed_range_type>(range)) |
| 143 | { |
| 144 | return result + min_value; |
| 145 | } |
| 146 | } |
| 147 | } |
| 148 | } |
| 149 | |
| 150 | } // Namespace detail |
| 151 | |
| 152 | template <typename Integer = int> |
| 153 | class uniform_int_distribution |
| 154 | { |
| 155 | private: |
| 156 | Integer min_; |
| 157 | Integer max_; |
| 158 | |
| 159 | public: |
| 160 | class param_type |
| 161 | { |
| 162 | private: |
| 163 | Integer min_; |
| 164 | Integer max_; |
| 165 | |
| 166 | public: |
| 167 | explicit param_type(Integer min_val, Integer max_val) : min_ {min_val}, max_ {max_val} |
| 168 | { |
| 169 | BOOST_MP_ASSERT(min_ <= max_); |
| 170 | } |
| 171 | |
| 172 | Integer a() const { return min_; } |
| 173 | Integer b() const { return max_; } |
| 174 | }; |
| 175 | |
| 176 | explicit uniform_int_distribution(Integer min_arg, Integer max_arg) : min_ {min_arg}, max_ {max_arg} |
| 177 | { |
| 178 | BOOST_MP_ASSERT(min_ <= max_); |
| 179 | } |
| 180 | |
| 181 | explicit uniform_int_distribution(const param_type& param_arg) : min_ {param_arg.a()}, max_ {param_arg.b()} {} |
| 182 | |
| 183 | Integer min BOOST_PREVENT_MACRO_SUBSTITUTION () const { return min_; } |
| 184 | Integer max BOOST_PREVENT_MACRO_SUBSTITUTION () const { return max_; } |
| 185 | |
| 186 | Integer a() const { return min_; } |
| 187 | Integer b() const { return max_; } |
| 188 | |
| 189 | param_type param() const { return param_type(min_, max_); } |
| 190 | |
| 191 | void param(const param_type& param_arg) |
| 192 | { |
| 193 | min_ = param_arg.a(); |
| 194 | max_ = param_arg.b(); |
| 195 | } |
| 196 | |
| 197 | template <typename Engine> |
| 198 | Integer operator() (Engine& eng) const |
| 199 | { |
| 200 | return detail::generate_uniform_int(eng, min_, max_); |
| 201 | } |
| 202 | |
| 203 | template <typename Engine> |
| 204 | Integer operator() (Engine& eng, const param_type& param_arg) const |
| 205 | { |
| 206 | return detail::generate_uniform_int(eng, param_arg.a(), param_arg.b()); |
| 207 | } |
| 208 | }; |
| 209 | |
| 210 | }} // Namespaces |
| 211 | |
| 212 | #endif // BOOST_MP_UNIFORM_INT_DISTRIBUTION_HPP |
| 213 | |