/src/quantlib/ql/math/randomnumbers/mt19937uniformrng.cpp
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1 | | /* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ |
2 | | |
3 | | /* |
4 | | Copyright (C) 2003 Ferdinando Ametrano |
5 | | Copyright (C) 2010 Kakhkhor Abdijalilov |
6 | | |
7 | | This file is part of QuantLib, a free-software/open-source library |
8 | | for financial quantitative analysts and developers - http://quantlib.org/ |
9 | | |
10 | | QuantLib is free software: you can redistribute it and/or modify it |
11 | | under the terms of the QuantLib license. You should have received a |
12 | | copy of the license along with this program; if not, please email |
13 | | <quantlib-dev@lists.sf.net>. The license is also available online at |
14 | | <https://www.quantlib.org/license.shtml>. |
15 | | |
16 | | This program is distributed in the hope that it will be useful, but WITHOUT |
17 | | ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS |
18 | | FOR A PARTICULAR PURPOSE. See the license for more details. |
19 | | */ |
20 | | |
21 | | |
22 | | // NOTE: The following copyright notice applies to |
23 | | // the original C implementation that has been used for this class |
24 | | |
25 | | /* |
26 | | A C-program for MT19937, with initialization improved 2002/1/26. |
27 | | Coded by Takuji Nishimura and Makoto Matsumoto. |
28 | | |
29 | | Before using, initialize the state by using init_genrand(seed) |
30 | | or init_by_array(init_key, key_length). |
31 | | |
32 | | Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura, |
33 | | All rights reserved. |
34 | | |
35 | | Redistribution and use in source and binary forms, with or without |
36 | | modification, are permitted provided that the following conditions |
37 | | are met: |
38 | | |
39 | | 1. Redistributions of source code must retain the above copyright |
40 | | notice, this list of conditions and the following disclaimer. |
41 | | |
42 | | 2. Redistributions in binary form must reproduce the above copyright |
43 | | notice, this list of conditions and the following disclaimer in the |
44 | | documentation and/or other materials provided with the distribution. |
45 | | |
46 | | 3. The names of its contributors may not be used to endorse or promote |
47 | | products derived from this software without specific prior written |
48 | | permission. |
49 | | |
50 | | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
51 | | "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
52 | | LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR |
53 | | A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER |
54 | | OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, |
55 | | EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, |
56 | | PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR |
57 | | PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF |
58 | | LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING |
59 | | NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS |
60 | | SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
61 | | |
62 | | |
63 | | Any feedback is very welcome. |
64 | | http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html |
65 | | email: matumoto@math.keio.ac.jp |
66 | | */ |
67 | | |
68 | | |
69 | | #include <ql/math/randomnumbers/seedgenerator.hpp> |
70 | | #include <ql/math/randomnumbers/mt19937uniformrng.hpp> |
71 | | |
72 | | namespace QuantLib { |
73 | | |
74 | | // constant vector a |
75 | | const unsigned long MersenneTwisterUniformRng::MATRIX_A = 0x9908b0dfUL; |
76 | | // most significant w-r bits |
77 | | const unsigned long MersenneTwisterUniformRng::UPPER_MASK=0x80000000UL; |
78 | | // least significant r bits |
79 | | const unsigned long MersenneTwisterUniformRng::LOWER_MASK=0x7fffffffUL; |
80 | | |
81 | | |
82 | 637 | MersenneTwisterUniformRng::MersenneTwisterUniformRng(unsigned long seed) { |
83 | 637 | seedInitialization(seed); |
84 | 637 | } |
85 | | |
86 | 637 | void MersenneTwisterUniformRng::seedInitialization(unsigned long seed) { |
87 | | /* initializes mt with a seed */ |
88 | 637 | unsigned long s = (seed != 0 ? seed : SeedGenerator::instance().get()); |
89 | 637 | mt[0]= s & 0xffffffffUL; |
90 | 397k | for (mti=1; mti<N; mti++) { |
91 | 396k | mt[mti] = |
92 | 396k | (1812433253UL * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti); |
93 | | /* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */ |
94 | | /* In the previous versions, MSBs of the seed affect */ |
95 | | /* only MSBs of the array mt[]. */ |
96 | | /* 2002/01/09 modified by Makoto Matsumoto */ |
97 | 396k | mt[mti] &= 0xffffffffUL; |
98 | | /* for >32 bit machines */ |
99 | 396k | } |
100 | 637 | } |
101 | | |
102 | | MersenneTwisterUniformRng::MersenneTwisterUniformRng( |
103 | 0 | const std::vector<unsigned long>& seeds) { |
104 | 0 | seedInitialization(19650218UL); |
105 | 0 | Size i=1, j=0, k = (N>seeds.size() ? N : seeds.size()); |
106 | 0 | for (; k != 0U; k--) { |
107 | 0 | mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525UL)) |
108 | 0 | + seeds[j] + j; /* non linear */ |
109 | 0 | mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */ |
110 | 0 | i++; j++; |
111 | 0 | if (i>=N) { mt[0] = mt[N-1]; i=1; } |
112 | 0 | if (j>=seeds.size()) j=0; |
113 | 0 | } |
114 | 0 | for (k = N - 1; k != 0U; k--) { |
115 | 0 | mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941UL)) |
116 | 0 | - i; /* non linear */ |
117 | 0 | mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */ |
118 | 0 | i++; |
119 | 0 | if (i>=N) { mt[0] = mt[N-1]; i=1; } |
120 | 0 | } |
121 | |
|
122 | 0 | mt[0] = UPPER_MASK; /*MSB is 1; assuring non-zero initial array*/ |
123 | 0 | } |
124 | | |
125 | 3.79k | void MersenneTwisterUniformRng::twist() const { |
126 | 3.79k | static const unsigned long mag01[2]={0x0UL, MATRIX_A}; |
127 | | /* mag01[x] = x * MATRIX_A for x=0,1 */ |
128 | 3.79k | Size kk; |
129 | 3.79k | unsigned long y; |
130 | | |
131 | 865k | for (kk=0;kk<N-M;kk++) { |
132 | 861k | y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK); |
133 | 861k | mt[kk] = mt[kk+M] ^ (y >> 1) ^ mag01[y & 0x1UL]; |
134 | 861k | } |
135 | 1.50M | for (;kk<N-1;kk++) { |
136 | 1.50M | y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK); |
137 | 1.50M | mt[kk] = mt[(kk+M)-N] ^ (y >> 1) ^ mag01[y & 0x1UL]; |
138 | 1.50M | } |
139 | 3.79k | y = (mt[N-1]&UPPER_MASK)|(mt[0]&LOWER_MASK); |
140 | 3.79k | mt[N-1] = mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1UL]; |
141 | | |
142 | 3.79k | mti = 0; |
143 | 3.79k | } |
144 | | |
145 | | } |