source: XMLIO_V2/external/include/blitz/rand-mt.h @ 80

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1/* A C-program for MT19937: Integer version (1998/4/6)            */
2/*  genrand() generates one pseudorandom unsigned integer (32bit) */
3/* which is uniformly distributed among 0 to 2^32-1  for each     */
4/* call. sgenrand(seed) set initial values to the working area    */
5/* of 624 words. Before genrand(), sgenrand(seed) must be         */
6/* called once. (seed is any 32-bit integer except for 0).        */
7/*   Coded by Takuji Nishimura, considering the suggestions by    */
8/* Topher Cooper and Marc Rieffel in July-Aug. 1997.              */
9
10/* This library is free software; you can redistribute it and/or   */
11/* modify it under the terms of the GNU Library General Public     */
12/* License as published by the Free Software Foundation; either    */
13/* version 2 of the License, or (at your option) any later         */
14/* version.                                                        */
15/* This library is distributed in the hope that it will be useful, */
16/* but WITHOUT ANY WARRANTY; without even the implied warranty of  */
17/* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.            */
18/* See the GNU Library General Public License for more details.    */
19/* You should have received a copy of the GNU Library General      */
20/* Public License along with this library; if not, write to the    */
21/* Free Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA   */ 
22/* 02111-1307  USA                                                 */
23
24/* Copyright (C) 1997 Makoto Matsumoto and Takuji Nishimura.       */
25/* When you use this, send an email to: matumoto@math.keio.ac.jp   */
26/* with an appropriate reference to your work.                     */
27
28/* REFERENCE                                                       */
29/* M. Matsumoto and T. Nishimura,                                  */
30/* "Mersenne Twister: A 623-Dimensionally Equidistributed Uniform  */
31/* Pseudo-Random Number Generator",                                */
32/* ACM Transactions on Modeling and Computer Simulation,           */
33/* Vol. 8, No. 1, January 1998, pp 3--30.                          */
34
35// See http://www.math.keio.ac.jp/~matumoto/emt.html
36
37// 1999-01-25 adapted to STL-like idiom
38// allan@stokes.ca (Allan Stokes) www.stokes.ca
39
40#ifndef BZ_RAND_MT
41#define BZ_RAND_MT
42
43#ifndef BZ_BLITZ_H
44 #include <blitz/blitz.h>
45#endif
46
47#include <vector>
48
49BZ_NAMESPACE(blitz)
50
51// decomposition issues:
52//   machine representation of integer types
53//   output buffer option verses inline post-conditioning
54
55class MersenneTwister
56{
57private:
58  typedef unsigned int twist_int; // must be at least 32 bits
59                                  // larger might be faster
60  typedef vector<twist_int> State;
61  typedef State::iterator Iter;
62
63  struct BitMixer {
64    enum { K = 0x9908b0df };
65    BitMixer() : s0(0) {}
66    inline friend twist_int low_mask (twist_int s1) {
67      return (s1&1u) ? K : 0u;
68    }
69    inline twist_int high_mask (twist_int s1) const {
70      return ((s0&0x80000000)|(s1&0x7fffffff))>>1;
71    }
72    inline twist_int operator() (twist_int s1) {
73      twist_int r = high_mask(s1) ^ low_mask(s1);
74      s0 = s1;
75      return r;
76    }
77    twist_int s0;
78  };
79
80enum { N = 624, PF = 397, reference_seed = 4357 }; 
81 
82public: 
83  MersenneTwister () {} // S empty will trigger auto-seed
84
85  void seed (twist_int seed = reference_seed)
86  {
87    if (!S.size()) S.resize(N);
88    enum { Knuth_A = 69069 }; 
89    twist_int x = seed & 0xFFFFFFFF;
90    Iter s = S.begin();
91    twist_int mask = (seed == reference_seed) ? 0 : 0xFFFFFFFF;
92    for (int j = 0; j < N; ++j) {
93      // adding j here avoids the risk of all zeros
94      // we suppress this term in "compatibility" mode 
95      *s++ = (x + (mask & j)) & 0xFFFFFFFF; 
96      x *= Knuth_A;
97    }
98    reload();
99  }
100
101  void reload (void)
102  {
103    if (!S.size()) seed (); // auto-seed detection
104
105    Iter p0 = S.begin();
106    Iter pM = p0 + PF;
107    BitMixer twist;
108    twist (S[0]); // prime the pump
109    for (Iter pf_end = S.begin()+(N-PF); p0 != pf_end; ++p0, ++pM)
110      *p0 = *pM ^ twist (p0[1]);
111    pM = S.begin();
112    for (Iter s_end = S.begin()+(N-1); p0 != s_end; ++p0, ++pM)
113      *p0 = *pM ^ twist (p0[1]);
114    *p0 = *pM ^ twist (S[0]);
115
116    I = S.begin();
117  }
118
119  inline twist_int random (void)
120  {
121    if (I >= S.end()) reload();
122    twist_int y = *I++;
123    y ^= (y >> 11);
124    y ^= (y <<  7) & 0x9D2C5680;
125    y ^= (y << 15) & 0xEFC60000;
126    y ^= (y >> 18);
127    return y;
128  }
129
130private:
131  State   S;
132  Iter    I;
133};
134
135
136// This version returns a double in the range [0,1).
137
138class MersenneTwisterDouble {
139
140public:
141  MersenneTwisterDouble()
142  {
143      // f = 1/(2^32);
144      f = (1.0 / 65536) / 65536;
145  }
146
147  void randomize(unsigned int seed)
148  {
149      gen_.seed(seed);
150  }
151
152  double random()
153  {
154      unsigned long y1 = gen_.random();
155      unsigned long y2 = gen_.random();
156
157      return ((y1 * f) * y2 * f);
158  }
159
160private:
161  MersenneTwister gen_;
162  double f;
163};
164
165BZ_NAMESPACE_END
166
167#endif // BZ_RAND_MT
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