root/trunk/thune/support/mt19937ar.c

Revision 523, 6.4 kB (checked in by krobillard, 8 months ago)

Builds on Solaris.

Line 
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   Modified by Karl Robillard to use uint32_t
45*/
46
47#ifdef __sun__
48#include <inttypes.h>
49#else
50#include <stdint.h>
51#endif
52#include <stdio.h>
53
54/* Period parameters */ 
55#define N 624
56#define M 397
57#define MATRIX_A 0x9908b0dfUL   /* constant vector a */
58#define UPPER_MASK 0x80000000UL /* most significant w-r bits */
59#define LOWER_MASK 0x7fffffffUL /* least significant r bits */
60
61static uint32_t mt[N]; /* the array for the state vector  */
62static int32_t mti=N+1; /* mti==N+1 means mt[N] is not initialized */
63
64/* initializes mt[N] with a seed */
65void init_genrand(uint32_t s)
66{
67    mt[0]= s & 0xffffffffUL;
68    for (mti=1; mti<N; mti++) {
69        mt[mti] =
70            (1812433253UL * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti);
71        /* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */
72        /* In the previous versions, MSBs of the seed affect   */
73        /* only MSBs of the array mt[].                        */
74        /* 2002/01/09 modified by Makoto Matsumoto             */
75#if 0
76        mt[mti] &= 0xffffffffUL;
77        /* for >32 bit machines */
78#endif
79    }
80}
81
82#ifdef UNIT_TEST
83/* initialize by an array with array-length */
84/* init_key is the array for initializing keys */
85/* key_length is its length */
86/* slight change for C++, 2004/2/26 */
87void init_by_array(uint32_t init_key[], int key_length)
88{
89    int i, j, k;
90    init_genrand(19650218UL);
91    i=1; j=0;
92    k = (N>key_length ? N : key_length);
93    for (; k; k--) {
94        mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525UL))
95          + init_key[j] + j; /* non linear */
96        mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
97        i++; j++;
98        if (i>=N) { mt[0] = mt[N-1]; i=1; }
99        if (j>=key_length) j=0;
100    }
101    for (k=N-1; k; k--) {
102        mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941UL))
103          - i; /* non linear */
104        mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
105        i++;
106        if (i>=N) { mt[0] = mt[N-1]; i=1; }
107    }
108
109    mt[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */ 
110}
111#endif
112
113/* generates a random number on [0,0xffffffff]-interval */
114uint32_t genrand_int32(void)
115{
116    uint32_t y;
117    static uint32_t mag01[2]={0x0UL, MATRIX_A};
118    /* mag01[x] = x * MATRIX_A  for x=0,1 */
119
120    if (mti >= N) { /* generate N words at one time */
121        int kk;
122
123        if (mti == N+1)   /* if init_genrand() has not been called, */
124            init_genrand(5489UL); /* a default initial seed is used */
125
126        for (kk=0;kk<N-M;kk++) {
127            y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
128            mt[kk] = mt[kk+M] ^ (y >> 1) ^ mag01[y & 0x1UL];
129        }
130        for (;kk<N-1;kk++) {
131            y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
132            mt[kk] = mt[kk+(M-N)] ^ (y >> 1) ^ mag01[y & 0x1UL];
133        }
134        y = (mt[N-1]&UPPER_MASK)|(mt[0]&LOWER_MASK);
135        mt[N-1] = mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1UL];
136
137        mti = 0;
138    }
139 
140    y = mt[mti++];
141
142    /* Tempering */
143    y ^= (y >> 11);
144    y ^= (y << 7) & 0x9d2c5680UL;
145    y ^= (y << 15) & 0xefc60000UL;
146    y ^= (y >> 18);
147
148    return y;
149}
150
151#if 0
152/* generates a random number on [0,0x7fffffff]-interval */
153int32_t genrand_int31(void)
154{
155    return (int32_t)(genrand_int32()>>1);
156}
157
158/* generates a random number on [0,1]-real-interval */
159double genrand_real1(void)
160{
161    return genrand_int32()*(1.0/4294967295.0);
162    /* divided by 2^32-1 */ 
163}
164#endif
165
166/* generates a random number on [0,1)-real-interval */
167double genrand_real2(void)
168{
169    return genrand_int32()*(1.0/4294967296.0);
170    /* divided by 2^32 */
171}
172
173#ifdef UNIT_TEST
174/* generates a random number on (0,1)-real-interval */
175double genrand_real3(void)
176{
177    return (((double)genrand_int32()) + 0.5)*(1.0/4294967296.0);
178    /* divided by 2^32 */
179}
180
181/* generates a random number on [0,1) with 53-bit resolution*/
182double genrand_res53(void)
183{
184    uint32_t a=genrand_int32()>>5, b=genrand_int32()>>6;
185    return(a*67108864.0+b)*(1.0/9007199254740992.0);
186}
187/* These real versions are due to Isaku Wada, 2002/01/09 added */
188
189int main(void)
190{
191    int i;
192    uint32_t init[4]={0x123, 0x234, 0x345, 0x456}, length=4;
193    init_by_array(init, length);
194    printf("1000 outputs of genrand_int32()\n");
195    for (i=0; i<1000; i++) {
196      printf("%10lu ", genrand_int32());
197      if (i%5==4) printf("\n");
198    }
199    printf("\n1000 outputs of genrand_real2()\n");
200    for (i=0; i<1000; i++) {
201      printf("%10.8f ", genrand_real2());
202      if (i%5==4) printf("\n");
203    }
204    return 0;
205}
206#endif
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