[2229] | 1 | /* -*- C++ -*- |
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| 2 | * |
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| 3 | * This file is a part of LEMON, a generic C++ optimization library |
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| 4 | * |
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| 5 | * Copyright (C) 2003-2006 |
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| 6 | * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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| 7 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
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| 8 | * |
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| 9 | * Permission to use, modify and distribute this software is granted |
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| 10 | * provided that this copyright notice appears in all copies. For |
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| 11 | * precise terms see the accompanying LICENSE file. |
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| 12 | * |
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| 13 | * This software is provided "AS IS" with no warranty of any kind, |
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| 14 | * express or implied, and with no claim as to its suitability for any |
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| 15 | * purpose. |
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| 16 | * |
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| 17 | */ |
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| 18 | |
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| 19 | #ifndef LEMON_RANDOM_H |
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| 20 | #define LEMON_RANDOM_H |
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| 21 | |
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| 22 | #include <algorithm> |
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[2242] | 23 | #include <iterator> |
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| 24 | #include <vector> |
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[2229] | 25 | |
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| 26 | #include <ctime> |
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| 27 | #include <cmath> |
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| 28 | #include <cmath> |
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| 29 | |
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| 30 | ///\ingroup misc |
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| 31 | ///\file |
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| 32 | ///\brief Mersenne Twister random number generator |
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| 33 | /// |
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| 34 | ///\author Balazs Dezso |
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| 35 | |
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| 36 | namespace lemon { |
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| 37 | |
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[2242] | 38 | namespace _random_bits { |
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| 39 | |
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| 40 | template <typename _Word, int _bits = std::numeric_limits<_Word>::digits> |
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| 41 | struct RandomTraits {}; |
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| 42 | |
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| 43 | template <typename _Word> |
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| 44 | struct RandomTraits<_Word, 32> { |
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| 45 | |
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| 46 | typedef _Word Word; |
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| 47 | static const int bits = 32; |
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| 48 | |
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| 49 | static const int length = 624; |
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| 50 | static const int shift = 397; |
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| 51 | |
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| 52 | static const Word mul = 0x6c078965u; |
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| 53 | static const Word arrayInit = 0x012BD6AAu; |
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| 54 | static const Word arrayMul1 = 0x0019660Du; |
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| 55 | static const Word arrayMul2 = 0x5D588B65u; |
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| 56 | |
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| 57 | static const Word mask = 0x9908B0DFu; |
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| 58 | static const Word loMask = (1u << 31) - 1; |
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| 59 | static const Word hiMask = ~loMask; |
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| 60 | |
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| 61 | |
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| 62 | static Word tempering(Word rnd) { |
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| 63 | rnd ^= (rnd >> 11); |
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| 64 | rnd ^= (rnd << 7) & 0x9D2C5680u; |
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| 65 | rnd ^= (rnd << 15) & 0xEFC60000u; |
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| 66 | rnd ^= (rnd >> 18); |
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| 67 | return rnd; |
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| 68 | } |
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| 69 | |
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| 70 | }; |
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| 71 | |
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| 72 | template <typename _Word> |
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| 73 | struct RandomTraits<_Word, 64> { |
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| 74 | |
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| 75 | typedef _Word Word; |
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| 76 | static const int bits = 64; |
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| 77 | |
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| 78 | static const int length = 312; |
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| 79 | static const int shift = 156; |
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| 80 | |
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| 81 | static const Word mul = (Word)0x5851F42Du << 32 | (Word)0x4C957F2Du; |
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| 82 | static const Word arrayInit = (Word)0x00000000u << 32 |(Word)0x012BD6AAu; |
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| 83 | static const Word arrayMul1 = (Word)0x369DEA0Fu << 32 |(Word)0x31A53F85u; |
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| 84 | static const Word arrayMul2 = (Word)0x27BB2EE6u << 32 |(Word)0x87B0B0FDu; |
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| 85 | |
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| 86 | static const Word mask = (Word)0xB5026F5Au << 32 | (Word)0xA96619E9u; |
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| 87 | static const Word loMask = ((Word)1u << 31) - 1; |
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| 88 | static const Word hiMask = ~loMask; |
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| 89 | |
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| 90 | static Word tempering(Word rnd) { |
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| 91 | rnd ^= (rnd >> 29) & ((Word)0x55555555u << 32 | (Word)0x55555555u); |
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| 92 | rnd ^= (rnd << 17) & ((Word)0x71D67FFFu << 32 | (Word)0xEDA60000u); |
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| 93 | rnd ^= (rnd << 37) & ((Word)0xFFF7EEE0u << 32 | (Word)0x00000000u); |
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| 94 | rnd ^= (rnd >> 43); |
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| 95 | return rnd; |
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| 96 | } |
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| 97 | |
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| 98 | }; |
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| 99 | |
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| 100 | template <typename _Word> |
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| 101 | class RandomCore { |
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| 102 | public: |
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| 103 | |
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| 104 | typedef _Word Word; |
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| 105 | |
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| 106 | private: |
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| 107 | |
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| 108 | static const int bits = RandomTraits<Word>::bits; |
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| 109 | |
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| 110 | static const int length = RandomTraits<Word>::length; |
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| 111 | static const int shift = RandomTraits<Word>::shift; |
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| 112 | |
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| 113 | public: |
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| 114 | |
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| 115 | void initState() { |
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| 116 | static const Word seedArray[4] = { |
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| 117 | 0x12345u, 0x23456u, 0x34567u, 0x45678u |
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| 118 | }; |
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| 119 | |
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| 120 | initState(seedArray, seedArray + 4); |
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| 121 | } |
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| 122 | |
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| 123 | void initState(Word seed) { |
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| 124 | |
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| 125 | static const Word mul = RandomTraits<Word>::mul; |
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| 126 | |
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| 127 | current = state; |
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| 128 | |
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| 129 | Word *curr = state + length - 1; |
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| 130 | curr[0] = seed; --curr; |
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| 131 | for (int i = 1; i < length; ++i) { |
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| 132 | curr[0] = (mul * ( curr[1] ^ (curr[1] >> (bits - 2)) ) + i); |
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| 133 | --curr; |
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| 134 | } |
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| 135 | } |
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| 136 | |
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| 137 | template <typename Iterator> |
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| 138 | void initState(Iterator begin, Iterator end) { |
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| 139 | |
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| 140 | static const Word init = RandomTraits<Word>::arrayInit; |
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| 141 | static const Word mul1 = RandomTraits<Word>::arrayMul1; |
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| 142 | static const Word mul2 = RandomTraits<Word>::arrayMul2; |
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| 143 | |
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| 144 | |
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| 145 | Word *curr = state + length - 1; --curr; |
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| 146 | Iterator it = begin; int cnt = 0; |
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| 147 | int num; |
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| 148 | |
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| 149 | initState(init); |
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| 150 | |
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| 151 | num = length > end - begin ? length : end - begin; |
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| 152 | while (num--) { |
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| 153 | curr[0] = (curr[0] ^ ((curr[1] ^ (curr[1] >> (bits - 2))) * mul1)) |
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| 154 | + *it + cnt; |
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| 155 | ++it; ++cnt; |
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| 156 | if (it == end) { |
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| 157 | it = begin; cnt = 0; |
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| 158 | } |
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| 159 | if (curr == state) { |
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| 160 | curr = state + length - 1; curr[0] = state[0]; |
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| 161 | } |
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| 162 | --curr; |
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| 163 | } |
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| 164 | |
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| 165 | num = length - 1; cnt = length - (curr - state) - 1; |
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| 166 | while (num--) { |
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| 167 | curr[0] = (curr[0] ^ ((curr[1] ^ (curr[1] >> (bits - 2))) * mul2)) |
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| 168 | - cnt; |
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| 169 | --curr; ++cnt; |
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| 170 | if (curr == state) { |
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| 171 | curr = state + length - 1; curr[0] = state[0]; --curr; |
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| 172 | cnt = 1; |
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| 173 | } |
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| 174 | } |
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| 175 | |
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| 176 | state[length - 1] = (Word)1 << (bits - 1); |
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| 177 | } |
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| 178 | |
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| 179 | void copyState(const RandomCore& other) { |
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| 180 | std::copy(other.state, other.state + length, state); |
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| 181 | current = state + (other.current - other.state); |
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| 182 | } |
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| 183 | |
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| 184 | Word operator()() { |
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| 185 | if (current == state) fillState(); |
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| 186 | --current; |
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| 187 | Word rnd = *current; |
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| 188 | return RandomTraits<Word>::tempering(rnd); |
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| 189 | } |
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| 190 | |
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| 191 | private: |
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| 192 | |
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| 193 | |
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| 194 | void fillState() { |
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| 195 | static const Word mask[2] = { 0x0ul, RandomTraits<Word>::mask }; |
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| 196 | static const Word loMask = RandomTraits<Word>::loMask; |
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| 197 | static const Word hiMask = RandomTraits<Word>::hiMask; |
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| 198 | |
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| 199 | current = state + length; |
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| 200 | |
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| 201 | register Word *curr = state + length - 1; |
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| 202 | register long num; |
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| 203 | |
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| 204 | num = length - shift; |
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| 205 | while (num--) { |
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| 206 | curr[0] = (((curr[0] & hiMask) | (curr[-1] & loMask)) >> 1) ^ |
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| 207 | curr[- shift] ^ mask[curr[-1] & 1ul]; |
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| 208 | --curr; |
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| 209 | } |
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| 210 | num = shift - 1; |
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| 211 | while (num--) { |
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| 212 | curr[0] = (((curr[0] & hiMask) | (curr[-1] & loMask)) >> 1) ^ |
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| 213 | curr[length - shift] ^ mask[curr[-1] & 1ul]; |
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| 214 | --curr; |
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| 215 | } |
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| 216 | curr[0] = (((curr[0] & hiMask) | (curr[length - 1] & loMask)) >> 1) ^ |
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| 217 | curr[length - shift] ^ mask[curr[length - 1] & 1ul]; |
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| 218 | |
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| 219 | } |
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| 220 | |
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| 221 | |
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| 222 | Word *current; |
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| 223 | Word state[length]; |
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| 224 | |
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| 225 | }; |
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| 226 | |
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| 227 | |
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| 228 | template <typename Result, |
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| 229 | int shift = (std::numeric_limits<Result>::digits + 1) / 2> |
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| 230 | struct Masker { |
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| 231 | static Result mask(const Result& result) { |
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| 232 | return Masker<Result, (shift + 1) / 2>:: |
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| 233 | mask((Result)(result | (result >> shift))); |
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| 234 | } |
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| 235 | }; |
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| 236 | |
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| 237 | template <typename Result> |
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| 238 | struct Masker<Result, 1> { |
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| 239 | static Result mask(const Result& result) { |
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| 240 | return (Result)(result | (result >> 1)); |
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| 241 | } |
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| 242 | }; |
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| 243 | |
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| 244 | template <typename Result, typename Word, |
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| 245 | int rest = std::numeric_limits<Result>::digits, int shift = 0, |
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| 246 | bool last = rest <= std::numeric_limits<Word>::digits> |
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| 247 | struct IntConversion { |
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| 248 | static const int bits = std::numeric_limits<Word>::digits; |
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| 249 | |
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| 250 | static Result convert(RandomCore<Word>& rnd) { |
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| 251 | return (Result)(rnd() >> (bits - rest)) << shift; |
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| 252 | } |
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| 253 | |
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| 254 | }; |
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| 255 | |
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| 256 | template <typename Result, typename Word, int rest, int shift> |
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| 257 | struct IntConversion<Result, Word, rest, shift, false> { |
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| 258 | static const int bits = std::numeric_limits<Word>::digits; |
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| 259 | |
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| 260 | static Result convert(RandomCore<Word>& rnd) { |
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| 261 | return ((Result)rnd() << shift) | |
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| 262 | IntConversion<Result, Word, rest - bits, shift + bits>::convert(rnd); |
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| 263 | } |
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| 264 | }; |
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| 265 | |
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| 266 | |
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| 267 | template <typename Result, typename Word, |
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| 268 | bool one_word = std::numeric_limits<Word>::digits < |
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| 269 | std::numeric_limits<Result>::digits> |
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| 270 | struct Mapping { |
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| 271 | static Result map(RandomCore<Word>& rnd, const Result& bound) { |
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| 272 | Word max = (Word)(bound - 1); |
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| 273 | Result mask = Masker<Result>::mask(bound - 1); |
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| 274 | Result num; |
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| 275 | do { |
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| 276 | num = IntConversion<Result, Word>::convert(rnd) & mask; |
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| 277 | } while (num > max); |
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| 278 | return num; |
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| 279 | } |
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| 280 | }; |
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| 281 | |
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| 282 | template <typename Result, typename Word> |
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| 283 | struct Mapping<Result, Word, false> { |
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| 284 | static Result map(RandomCore<Word>& rnd, const Result& bound) { |
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| 285 | Word max = (Word)(bound - 1); |
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| 286 | Word mask = Masker<Word, (std::numeric_limits<Result>::digits + 1) / 2> |
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| 287 | ::mask(max); |
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| 288 | Word num; |
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| 289 | do { |
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| 290 | num = rnd() & mask; |
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| 291 | } while (num > max); |
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| 292 | return num; |
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| 293 | } |
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| 294 | }; |
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| 295 | |
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| 296 | template <typename Result, int exp, bool pos = (exp >= 0)> |
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| 297 | struct ShiftMultiplier { |
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| 298 | static const Result multiplier() { |
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| 299 | Result res = ShiftMultiplier<Result, exp / 2>::multiplier(); |
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| 300 | res *= res; |
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| 301 | if ((exp & 1) == 1) res *= (Result)2.0; |
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| 302 | return res; |
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| 303 | } |
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| 304 | }; |
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| 305 | |
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| 306 | template <typename Result, int exp> |
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| 307 | struct ShiftMultiplier<Result, exp, false> { |
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| 308 | static const Result multiplier() { |
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| 309 | Result res = ShiftMultiplier<Result, exp / 2>::multiplier(); |
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| 310 | res *= res; |
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| 311 | if ((exp & 1) == 1) res *= (Result)0.5; |
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| 312 | return res; |
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| 313 | } |
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| 314 | }; |
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| 315 | |
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| 316 | template <typename Result> |
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| 317 | struct ShiftMultiplier<Result, 0, true> { |
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| 318 | static const Result multiplier() { |
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| 319 | return (Result)1.0; |
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| 320 | } |
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| 321 | }; |
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| 322 | |
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| 323 | template <typename Result> |
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| 324 | struct ShiftMultiplier<Result, -20, true> { |
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| 325 | static const Result multiplier() { |
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| 326 | return (Result)(1.0/1048576.0); |
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| 327 | } |
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| 328 | }; |
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| 329 | |
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| 330 | template <typename Result> |
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| 331 | struct ShiftMultiplier<Result, -32, true> { |
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| 332 | static const Result multiplier() { |
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| 333 | return (Result)(1.0/424967296.0); |
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| 334 | } |
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| 335 | }; |
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| 336 | |
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| 337 | template <typename Result> |
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| 338 | struct ShiftMultiplier<Result, -53, true> { |
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| 339 | static const Result multiplier() { |
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| 340 | return (Result)(1.0/9007199254740992.0); |
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| 341 | } |
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| 342 | }; |
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| 343 | |
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| 344 | template <typename Result> |
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| 345 | struct ShiftMultiplier<Result, -64, true> { |
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| 346 | static const Result multiplier() { |
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| 347 | return (Result)(1.0/18446744073709551616.0); |
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| 348 | } |
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| 349 | }; |
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| 350 | |
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| 351 | template <typename Result, int exp> |
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| 352 | struct Shifting { |
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| 353 | static Result shift(const Result& result) { |
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| 354 | return result * ShiftMultiplier<Result, exp>::multiplier(); |
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| 355 | } |
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| 356 | }; |
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| 357 | |
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| 358 | template <typename Result, typename Word, |
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| 359 | int rest = std::numeric_limits<Result>::digits, int shift = 0, |
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| 360 | bool last = rest <= std::numeric_limits<Word>::digits> |
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| 361 | struct RealConversion{ |
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| 362 | static const int bits = std::numeric_limits<Word>::digits; |
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| 363 | |
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| 364 | static Result convert(RandomCore<Word>& rnd) { |
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| 365 | return Shifting<Result, - shift - rest>:: |
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| 366 | shift((Result)(rnd() >> (bits - rest))); |
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| 367 | } |
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| 368 | }; |
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| 369 | |
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| 370 | template <typename Result, typename Word, int rest, int shift> |
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| 371 | struct RealConversion<Result, Word, rest, shift, false> { |
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| 372 | static const int bits = std::numeric_limits<Word>::digits; |
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| 373 | |
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| 374 | static Result convert(RandomCore<Word>& rnd) { |
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| 375 | return Shifting<Result, - shift - bits>::shift((Result)rnd()) + |
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| 376 | RealConversion<Result, Word, rest-bits, shift + bits>::convert(rnd); |
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| 377 | } |
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| 378 | }; |
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| 379 | |
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| 380 | template <typename Result, typename Word> |
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| 381 | struct Initializer { |
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| 382 | |
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| 383 | template <typename Iterator> |
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| 384 | static void init(RandomCore<Word>& rnd, Iterator begin, Iterator end) { |
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| 385 | std::vector<Word> ws; |
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| 386 | for (Iterator it = begin; it != end; ++it) { |
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| 387 | ws.push_back((Word)*it); |
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| 388 | } |
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| 389 | rnd.initState(ws.begin(), ws.end()); |
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| 390 | } |
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| 391 | |
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| 392 | static void init(RandomCore<Word>& rnd, Result seed) { |
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| 393 | rnd.initState(seed); |
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| 394 | } |
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| 395 | }; |
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| 396 | |
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| 397 | template <typename Word> |
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| 398 | struct BoolConversion { |
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| 399 | static bool convert(RandomCore<Word>& rnd) { |
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| 400 | return (rnd() & 1) == 1; |
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| 401 | } |
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| 402 | }; |
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| 403 | |
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| 404 | } |
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[2229] | 405 | |
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| 406 | /// \ingroup misc |
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| 407 | /// |
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| 408 | /// \brief Mersenne Twister random number generator |
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| 409 | /// |
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| 410 | /// The Mersenne Twister is a twisted generalized feedback |
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[2242] | 411 | /// shift-register generator of Matsumoto and Nishimura. The period |
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| 412 | /// of this generator is \f$ 2^{19937} - 1 \f$ and it is |
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| 413 | /// equi-distributed in 623 dimensions for 32-bit numbers. The time |
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| 414 | /// performance of this generator is comparable to the commonly used |
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| 415 | /// generators. |
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| 416 | /// |
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| 417 | /// This implementation is specialized for both 32-bit and 64-bit |
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| 418 | /// architectures. The generators differ sligthly in the |
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| 419 | /// initialization and generation phase so they produce two |
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| 420 | /// completly different sequences. |
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| 421 | /// |
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| 422 | /// The generator gives back random numbers of serveral types. To |
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| 423 | /// get a random number from a range of a floating point type you |
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[2245] | 424 | /// can use one form of the \c operator() or the \c real() member |
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| 425 | /// function. If you want to get random number from the {0, 1, ..., |
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| 426 | /// n-1} integer range use the \c operator[] or the \c integer() |
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| 427 | /// method. And to get random number from the whole range of an |
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| 428 | /// integer type you can use the argumentless \c integer() or \c |
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| 429 | /// uinteger() functions. After all you can get random bool with |
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| 430 | /// equal chance of true and false or given probability of true |
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| 431 | /// result with the \c boolean() member functions. |
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[2242] | 432 | /// |
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| 433 | ///\code |
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[2245] | 434 | /// // The commented code is identical to the other |
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| 435 | /// double a = rnd(); // [0.0, 1.0) |
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| 436 | /// // double a = rnd.real(); // [0.0, 1.0) |
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| 437 | /// double b = rnd(100.0); // [0.0, 100.0) |
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| 438 | /// // double b = rnd.real(100.0); // [0.0, 100.0) |
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| 439 | /// double c = rnd(1.0, 2.0); // [1.0, 2.0) |
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| 440 | /// // double c = rnd.real(1.0, 2.0); // [1.0, 2.0) |
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| 441 | /// int d = rnd[100000]; // 0..99999 |
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| 442 | /// // int d = rnd.integer(100000); // 0..99999 |
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| 443 | /// int e = rnd[6] + 1; // 1..6 |
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| 444 | /// // int e = rnd.integer(1, 1 + 6); // 1..6 |
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[2242] | 445 | /// int b = rnd.uinteger<int>(); // 0 .. 2^31 - 1 |
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| 446 | /// int c = rnd.integer<int>(); // - 2^31 .. 2^31 - 1 |
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| 447 | /// bool g = rnd.boolean(); // P(g = true) = 0.5 |
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| 448 | /// bool h = rnd.boolean(0.8); // P(h = true) = 0.8 |
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| 449 | ///\endcode |
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| 450 | /// |
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[2245] | 451 | /// The lemon provides a global instance of the random number |
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| 452 | /// generator which name is \ref lemon::rnd "rnd". Usually it is a |
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| 453 | /// good programming convenience to use this global generator to get |
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| 454 | /// random numbers. |
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[2229] | 455 | /// |
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| 456 | /// \author Balazs Dezso |
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| 457 | class Random { |
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[2242] | 458 | private: |
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[2229] | 459 | |
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[2245] | 460 | // architecture word |
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[2242] | 461 | typedef unsigned long Word; |
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| 462 | |
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| 463 | _random_bits::RandomCore<Word> core; |
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[2229] | 464 | |
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| 465 | public: |
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| 466 | |
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| 467 | /// \brief Constructor |
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| 468 | /// |
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[2242] | 469 | /// Constructor with constant seeding. |
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| 470 | Random() { core.initState(); } |
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[2229] | 471 | |
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| 472 | /// \brief Constructor |
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| 473 | /// |
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[2242] | 474 | /// Constructor with seed. The current number type will be converted |
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| 475 | /// to the architecture word type. |
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| 476 | template <typename Number> |
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| 477 | Random(Number seed) { |
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| 478 | _random_bits::Initializer<Number, Word>::init(core, seed); |
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| 479 | } |
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| 480 | |
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| 481 | /// \brief Constructor |
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| 482 | /// |
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| 483 | /// Constructor with array seeding. The given range should contain |
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| 484 | /// any number type and the numbers will be converted to the |
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| 485 | /// architecture word type. |
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| 486 | template <typename Iterator> |
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| 487 | Random(Iterator begin, Iterator end) { |
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| 488 | typedef typename std::iterator_traits<Iterator>::value_type Number; |
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| 489 | _random_bits::Initializer<Number, Word>::init(core, begin, end); |
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| 490 | } |
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[2229] | 491 | |
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| 492 | /// \brief Copy constructor |
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| 493 | /// |
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| 494 | /// Copy constructor. The generated sequence will be identical to |
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[2245] | 495 | /// the other sequence. It can be used to save the current state |
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| 496 | /// of the generator and later use it to generate the same |
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| 497 | /// sequence. |
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[2242] | 498 | Random(const Random& other) { |
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| 499 | core.copyState(other.core); |
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[2229] | 500 | } |
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| 501 | |
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| 502 | /// \brief Assign operator |
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| 503 | /// |
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| 504 | /// Assign operator. The generated sequence will be identical to |
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[2245] | 505 | /// the other sequence. It can be used to save the current state |
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| 506 | /// of the generator and later use it to generate the same |
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| 507 | /// sequence. |
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[2229] | 508 | Random& operator=(const Random& other) { |
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| 509 | if (&other != this) { |
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[2242] | 510 | core.copyState(other.core); |
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[2229] | 511 | } |
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| 512 | return *this; |
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| 513 | } |
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| 514 | |
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[2257] | 515 | /// \brief Returns a random real number from the range [0, 1) |
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[2229] | 516 | /// |
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[2245] | 517 | /// It returns a random real number from the range [0, 1). The |
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| 518 | /// default Number type is double. |
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[2242] | 519 | template <typename Number> |
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[2245] | 520 | Number real() { |
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[2242] | 521 | return _random_bits::RealConversion<Number, Word>::convert(core); |
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[2229] | 522 | } |
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| 523 | |
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[2245] | 524 | double real() { |
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| 525 | return real<double>(); |
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| 526 | } |
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| 527 | |
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[2257] | 528 | /// \brief Returns a random real number the range [0, b) |
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[2245] | 529 | /// |
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| 530 | /// It returns a random real number from the range [0, b). |
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| 531 | template <typename Number> |
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| 532 | Number real(Number b) { |
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| 533 | return real<Number>() * b; |
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| 534 | } |
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| 535 | |
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[2257] | 536 | /// \brief Returns a random real number from the range [a, b) |
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[2245] | 537 | /// |
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| 538 | /// It returns a random real number from the range [a, b). |
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| 539 | template <typename Number> |
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| 540 | Number real(Number a, Number b) { |
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| 541 | return real<Number>() * (b - a) + a; |
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| 542 | } |
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| 543 | |
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[2257] | 544 | /// \brief Returns a random real number from the range [0, 1) |
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[2245] | 545 | /// |
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| 546 | /// It returns a random double from the range [0, 1). |
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[2242] | 547 | double operator()() { |
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[2245] | 548 | return real<double>(); |
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[2242] | 549 | } |
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| 550 | |
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[2257] | 551 | /// \brief Returns a random real number from the range [0, b) |
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[2229] | 552 | /// |
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[2242] | 553 | /// It returns a random real number from the range [0, b). |
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| 554 | template <typename Number> |
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| 555 | Number operator()(Number b) { |
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[2245] | 556 | return real<Number>() * b; |
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[2242] | 557 | } |
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| 558 | |
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[2257] | 559 | /// \brief Returns a random real number from the range [a, b) |
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[2242] | 560 | /// |
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| 561 | /// It returns a random real number from the range [a, b). |
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| 562 | template <typename Number> |
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| 563 | Number operator()(Number a, Number b) { |
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[2245] | 564 | return real<Number>() * (b - a) + a; |
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[2242] | 565 | } |
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| 566 | |
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| 567 | /// \brief Returns a random integer from a range |
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| 568 | /// |
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[2245] | 569 | /// It returns a random integer from the range {0, 1, ..., b - 1}. |
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[2242] | 570 | template <typename Number> |
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[2245] | 571 | Number integer(Number b) { |
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| 572 | return _random_bits::Mapping<Number, Word>::map(core, b); |
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| 573 | } |
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| 574 | |
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| 575 | /// \brief Returns a random integer from a range |
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| 576 | /// |
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| 577 | /// It returns a random integer from the range {a, a + 1, ..., b - 1}. |
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| 578 | template <typename Number> |
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| 579 | Number integer(Number a, Number b) { |
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| 580 | return _random_bits::Mapping<Number, Word>::map(core, b - a) + a; |
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| 581 | } |
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| 582 | |
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| 583 | /// \brief Returns a random integer from a range |
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| 584 | /// |
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| 585 | /// It returns a random integer from the range {0, 1, ..., b - 1}. |
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| 586 | template <typename Number> |
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| 587 | Number operator[](Number b) { |
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| 588 | return _random_bits::Mapping<Number, Word>::map(core, b); |
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[2242] | 589 | } |
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| 590 | |
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| 591 | /// \brief Returns a random non-negative integer |
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| 592 | /// |
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| 593 | /// It returns a random non-negative integer uniformly from the |
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| 594 | /// whole range of the current \c Number type. The default result |
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| 595 | /// type of this function is unsigned int. |
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| 596 | template <typename Number> |
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| 597 | Number uinteger() { |
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| 598 | return _random_bits::IntConversion<Number, Word>::convert(core); |
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| 599 | } |
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| 600 | |
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| 601 | unsigned int uinteger() { |
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| 602 | return uinteger<unsigned int>(); |
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| 603 | } |
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| 604 | |
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| 605 | /// \brief Returns a random integer |
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| 606 | /// |
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| 607 | /// It returns a random integer uniformly from the whole range of |
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| 608 | /// the current \c Number type. The default result type of this |
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| 609 | /// function is int. |
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| 610 | template <typename Number> |
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| 611 | Number integer() { |
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| 612 | static const int nb = std::numeric_limits<Number>::digits + |
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| 613 | (std::numeric_limits<Number>::is_signed ? 1 : 0); |
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| 614 | return _random_bits::IntConversion<Number, Word, nb>::convert(core); |
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| 615 | } |
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| 616 | |
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| 617 | int integer() { |
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| 618 | return integer<int>(); |
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[2229] | 619 | } |
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| 620 | |
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[2242] | 621 | /// \brief Returns a random bool |
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[2229] | 622 | /// |
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[2242] | 623 | /// It returns a random bool |
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| 624 | bool boolean() { |
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| 625 | return _random_bits::BoolConversion<Word>::convert(core); |
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[2229] | 626 | } |
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| 627 | |
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| 628 | /// \brief Returns a random bool |
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| 629 | /// |
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[2242] | 630 | /// It returns a random bool with given probability of true result |
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| 631 | bool boolean(double p) { |
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| 632 | return operator()() < p; |
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[2229] | 633 | } |
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| 634 | |
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| 635 | }; |
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| 636 | |
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| 637 | |
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| 638 | extern Random rnd; |
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| 639 | |
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| 640 | } |
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| 641 | |
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| 642 | #endif |
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