-
Notifications
You must be signed in to change notification settings - Fork 5
/
randgen.cpp
221 lines (188 loc) · 5.26 KB
/
randgen.cpp
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
#ifndef RANDGEN_CPP
#define RANDGEN_CPP
#include "randgen.h"
/* Period parameters */
#define N 624
#define M 397
#define MATRIX_A 0x9908b0dfUL /* constant vector a */
#define UMASK 0x80000000UL /* most significant w-r bits */
#define LMASK 0x7fffffffUL /* least significant r bits */
#define MIXBITS(u,v) ( ((u) & UMASK) | ((v) & LMASK) )
#define TWIST(u,v) ((MIXBITS(u,v) >> 1) ^ ((v)&1UL ? MATRIX_A : 0UL))
/* initializes state[N] with a seed */
void init_genrand(unsigned long s)
{
using randgen::state;
using randgen::left;
using randgen::initf;
using randgen::next;
int j;
state[0]= s & 0xffffffffUL;
for (j=1; j<N; j++) {
state[j] = (1812433253UL * (state[j-1] ^ (state[j-1] >> 30)) + j);
/* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */
/* In the previous versions, MSBs of the seed affect */
/* only MSBs of the array state[]. */
/* 2002/01/09 modified by Makoto Matsumoto */
state[j] &= 0xffffffffUL; /* for >32 bit machines */
}
left = 1; initf = 1;
}
/* initialize by an array with array-length */
/* init_key is the array for initializing keys */
/* key_length is its length */
/* slight change for C++, 2004/2/26 */
void init_by_array(unsigned long init_key[], int key_length)
{
using randgen::state;
using randgen::left;
using randgen::initf;
using randgen::next;
int i, j, k;
init_genrand(19650218UL);
i=1; j=0;
k = (N>key_length ? N : key_length);
for (; k; k--) {
state[i] = (state[i] ^ ((state[i-1] ^ (state[i-1] >> 30)) * 1664525UL))
+ init_key[j] + j; /* non linear */
state[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
i++; j++;
if (i>=N) { state[0] = state[N-1]; i=1; }
if (j>=key_length) j=0;
}
for (k=N-1; k; k--) {
state[i] = (state[i] ^ ((state[i-1] ^ (state[i-1] >> 30)) * 1566083941UL))
- i; /* non linear */
state[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
i++;
if (i>=N) { state[0] = state[N-1]; i=1; }
}
state[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */
left = 1; initf = 1;
}
static void next_state(void)
{
using randgen::state;
using randgen::left;
using randgen::initf;
using randgen::next;
unsigned long *p=state;
int j;
/* if init_genrand() has not been called, */
/* a default initial seed is used */
if (initf==0) init_genrand(5489UL);
left = N;
next = state;
for (j=N-M+1; --j; p++)
*p = p[M] ^ TWIST(p[0], p[1]);
for (j=M; --j; p++)
*p = p[M-N] ^ TWIST(p[0], p[1]);
*p = p[M-N] ^ TWIST(p[0], state[0]);
}
/* generates a random number on [0,0xffffffff]-interval */
unsigned long genrand_int32(void)
{
using randgen::state;
using randgen::left;
using randgen::initf;
using randgen::next;
unsigned long y;
if (--left == 0) next_state();
y = *next++;
/* Tempering */
y ^= (y >> 11);
y ^= (y << 7) & 0x9d2c5680UL;
y ^= (y << 15) & 0xefc60000UL;
y ^= (y >> 18);
return y;
}
/* generates a random number on [0,0x7fffffff]-interval */
long genrand_int31(void)
{
using randgen::state;
using randgen::left;
using randgen::initf;
using randgen::next;
unsigned long y;
if (--left == 0) next_state();
y = *next++;
/* Tempering */
y ^= (y >> 11);
y ^= (y << 7) & 0x9d2c5680UL;
y ^= (y << 15) & 0xefc60000UL;
y ^= (y >> 18);
return (long)(y>>1);
}
/* generates a random number on [0,1]-real-interval */
double genrand_real1(void)
{
using randgen::state;
using randgen::left;
using randgen::initf;
using randgen::next;
unsigned long y;
if (--left == 0) next_state();
y = *next++;
/* Tempering */
y ^= (y >> 11);
y ^= (y << 7) & 0x9d2c5680UL;
y ^= (y << 15) & 0xefc60000UL;
y ^= (y >> 18);
return (double)y * (1.0/4294967295.0);
/* divided by 2^32-1 */
}
/* generates a random number on [0,1)-real-interval */
double genrand_real2(void)
{
using randgen::state;
using randgen::left;
using randgen::initf;
using randgen::next;
unsigned long y;
if (--left == 0) next_state();
y = *next++;
/* Tempering */
y ^= (y >> 11);
y ^= (y << 7) & 0x9d2c5680UL;
y ^= (y << 15) & 0xefc60000UL;
y ^= (y >> 18);
return (double)y * (1.0/4294967296.0);
/* divided by 2^32 */
}
/* generates a random number on (0,1)-real-interval */
double genrand_real3(void)
{
using randgen::state;
using randgen::left;
using randgen::initf;
using randgen::next;
unsigned long y;
if (--left == 0) next_state();
y = *next++;
/* Tempering */
y ^= (y >> 11);
y ^= (y << 7) & 0x9d2c5680UL;
y ^= (y << 15) & 0xefc60000UL;
y ^= (y >> 18);
return ((double)y + 0.5) * (1.0/4294967296.0);
/* divided by 2^32 */
}
/* generates a random number on [0,1) with 53-bit resolution*/
double genrand_res53(void)
{
using randgen::state;
using randgen::left;
using randgen::initf;
using randgen::next;
unsigned long a=genrand_int32()>>5, b=genrand_int32()>>6;
return(a*67108864.0+b)*(1.0/9007199254740992.0);
}
/* These real versions are due to Isaku Wada, 2002/01/09 added */
#undef N
#undef M
#undef MATRIX_A
#undef UMASK
#undef LMASK
#undef MIXBITS
#undef TWIST
#endif