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1 | /* | |
2 | A C-program for MT19937, with initialization improved 2002/1/26. | |
3 | Coded by Takuji Nishimura and Makoto Matsumoto. | |
4 | ||
5 | Before using, initialize the state by using init_genrand(seed) | |
6 | or init_by_array(init_key, key_length). | |
7 | ||
8 | Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura, | |
9 | All rights reserved. | |
10 | ||
11 | Redistribution and use in source and binary forms, with or without | |
12 | modification, are permitted provided that the following conditions | |
13 | are met: | |
14 | ||
15 | 1. Redistributions of source code must retain the above copyright | |
16 | notice, this list of conditions and the following disclaimer. | |
17 | ||
18 | 2. Redistributions in binary form must reproduce the above copyright | |
19 | notice, this list of conditions and the following disclaimer in the | |
20 | documentation and/or other materials provided with the distribution. | |
21 | ||
22 | 3. The names of its contributors may not be used to endorse or promote | |
23 | products derived from this software without specific prior written | |
24 | permission. | |
25 | ||
26 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | |
27 | "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | |
28 | LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR | |
29 | A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR | |
30 | CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, | |
31 | EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, | |
32 | PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR | |
33 | PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF | |
34 | LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING | |
35 | NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS | |
36 | SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | |
37 | ||
38 | ||
39 | Any feedback is very welcome. | |
40 | http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html | |
41 | email: m-mat @ math.sci.hiroshima-u.ac.jp (remove space) | |
42 | */ | |
43 | ||
44 | #include <stdio.h> | |
45 | ||
46 | /* Period parameters */ | |
47 | #define N 624 | |
48 | #define M 397 | |
49 | #define MATRIX_A 0x9908b0dfUL /* constant vector a */ | |
50 | #define UPPER_MASK 0x80000000UL /* most significant w-r bits */ | |
51 | #define LOWER_MASK 0x7fffffffUL /* least significant r bits */ | |
52 | ||
53 | static unsigned long mt[N]; /* the array for the state vector */ | |
54 | static int mti=N+1; /* mti==N+1 means mt[N] is not initialized */ | |
55 | ||
56 | /* initializes mt[N] with a seed */ | |
57 | void init_genrand(unsigned long s) | |
58 | { | |
59 | mt[0]= s & 0xffffffffUL; | |
60 | for (mti=1; mti<N; mti++) { | |
61 | mt[mti] = (1812433253UL * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti); | |
62 | /* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */ | |
63 | /* In the previous versions, MSBs of the seed affect */ | |
64 | /* only MSBs of the array mt[]. */ | |
65 | /* 2002/01/09 modified by Makoto Matsumoto */ | |
66 | mt[mti] &= 0xffffffffUL; | |
67 | /* for >32 bit machines */ | |
68 | } | |
69 | } | |
70 | ||
71 | /* initialize by an array with array-length */ | |
72 | /* init_key is the array for initializing keys */ | |
73 | /* key_length is its length */ | |
74 | /* slight change for C++, 2004/2/26 */ | |
75 | void init_by_array(unsigned long init_key[],int key_length) | |
76 | { | |
77 | int i, j, k; | |
78 | init_genrand(19650218UL); | |
79 | i=1; j=0; | |
80 | k = (N>key_length ? N : key_length); | |
81 | for (; k; k--) { | |
82 | mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525UL)) | |
83 | + init_key[j] + j; /* non linear */ | |
84 | mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */ | |
85 | i++; j++; | |
86 | if (i>=N) { mt[0] = mt[N-1]; i=1; } | |
87 | if (j>=key_length) j=0; | |
88 | } | |
89 | for (k=N-1; k; k--) { | |
90 | mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941UL)) | |
91 | - i; /* non linear */ | |
92 | mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */ | |
93 | i++; | |
94 | if (i>=N) { mt[0] = mt[N-1]; i=1; } | |
95 | } | |
96 | ||
97 | mt[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */ | |
98 | } | |
99 | ||
100 | /* generates a random number on [0,0xffffffff]-interval */ | |
101 | unsigned long genrand_int32(void) | |
102 | { | |
103 | unsigned long y; | |
104 | static unsigned long mag01[2]={0x0UL, MATRIX_A}; | |
105 | /* mag01[x] = x * MATRIX_A for x=0,1 */ | |
106 | ||
107 | if (mti >= N) { /* generate N words at one time */ | |
108 | int kk; | |
109 | ||
110 | if (mti == N+1) /* if init_genrand() has not been called, */ | |
111 | init_genrand(5489UL); /* a default initial seed is used */ | |
112 | ||
113 | for (kk=0;kk<N-M;kk++) { | |
114 | y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK); | |
115 | mt[kk] = mt[kk+M] ^ (y >> 1) ^ mag01[y & 0x1UL]; | |
116 | } | |
117 | for (;kk<N-1;kk++) { | |
118 | y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK); | |
119 | mt[kk] = mt[kk+(M-N)] ^ (y >> 1) ^ mag01[y & 0x1UL]; | |
120 | } | |
121 | y = (mt[N-1]&UPPER_MASK)|(mt[0]&LOWER_MASK); | |
122 | mt[N-1] = mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1UL]; | |
123 | ||
124 | mti = 0; | |
125 | } | |
126 | ||
127 | y = mt[mti++]; | |
128 | ||
129 | /* Tempering */ | |
130 | y ^= (y >> 11); | |
131 | y ^= (y << 7) & 0x9d2c5680UL; | |
132 | y ^= (y << 15) & 0xefc60000UL; | |
133 | y ^= (y >> 18); | |
134 | ||
135 | return y; | |
136 | } | |
137 | ||
138 | /* generates a random number on [0,0x7fffffff]-interval */ | |
139 | long genrand_int31(void) | |
140 | { | |
141 | return (long)(genrand_int32()>>1); | |
142 | } | |
143 | ||
144 | /* generates a random number on [0,1]-real-interval */ | |
145 | double genrand_real1(void) | |
146 | { | |
147 | return genrand_int32()*(1.0/4294967295.0); | |
148 | /* divided by 2^32-1 */ | |
149 | } | |
150 | ||
151 | /* generates a random number on [0,1)-real-interval */ | |
152 | double genrand_real2(void) | |
153 | { | |
154 | return genrand_int32()*(1.0/4294967296.0); | |
155 | /* divided by 2^32 */ | |
156 | } | |
157 | ||
158 | /* generates a random number on (0,1)-real-interval */ | |
159 | double genrand_real3(void) | |
160 | { | |
161 | return (((double)genrand_int32()) + 0.5)*(1.0/4294967296.0); | |
162 | /* divided by 2^32 */ | |
163 | } | |
164 | ||
165 | /* generates a random number on [0,1) with 53-bit resolution*/ | |
166 | double genrand_res53(void) | |
167 | { | |
168 | unsigned long a=genrand_int32()>>5, b=genrand_int32()>>6; | |
169 | return(a*67108864.0+b)*(1.0/9007199254740992.0); | |
170 | } |