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52
static int mti=N+1; /* mti==N+1 means mt[N] is not initialized */
52
static int mti=N+1; /* mti==N+1 means mt[N] is not initialized */
53
 
53
 
54
/* initializes mt[N] with a seed */
54
/* initializes mt[N] with a seed */
55
void init_genrand(unsigned long s)
55
void init_genrand(unsigned long s)
56
{
56
{
57
    mt[0]= s & 0xffffffffUL;
57
  mt[0]= s & 0xffffffffUL;
58
    for (mti=1; mti<N; mti++) {
58
  for (mti=1; mti<N; mti++) {
59
        mt[mti] =
59
    mt[mti] =
60
            (1812433253UL * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti);
60
    (1812433253UL * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti);
61
        /* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */
61
      /* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */
62
        /* In the previous versions, MSBs of the seed affect   */
62
      /* In the previous versions, MSBs of the seed affect   */
63
        /* only MSBs of the array mt[].                        */
63
      /* only MSBs of the array mt[].                        */
64
        /* 2002/01/09 modified by Makoto Matsumoto             */
64
      /* 2002/01/09 modified by Makoto Matsumoto             */
65
        mt[mti] &= 0xffffffffUL;
65
    mt[mti] &= 0xffffffffUL;
66
        /* for >32 bit machines */
66
      /* for >32 bit machines */
67
    }
67
  }
68
}
68
}
69
 
69
 
70
/* initialize by an array with array-length */
70
/* initialize by an array with array-length */
71
/* init_key is the array for initializing keys */
71
/* init_key is the array for initializing keys */
72
/* key_length is its length */
72
/* key_length is its length */
73
/* slight change for C++, 2004/2/26 */
73
/* slight change for C++, 2004/2/26 */
74
void init_by_array(unsigned long init_key[], int key_length)
74
void init_by_array(unsigned long init_key[], int key_length)
75
{
75
{
76
    int i, j, k;
76
  int i, j, k;
77
    init_genrand(19650218UL);
77
  init_genrand(19650218UL);
78
    i=1; j=0;
78
  i=1; j=0;
79
    k = (N>key_length ? N : key_length);
79
  k = (N>key_length ? N : key_length);
80
    for (; k; k--) {
80
  for (; k; k--) {
81
        mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525UL))
81
    mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525UL))
82
          + init_key[j] + j; /* non linear */
82
        + init_key[j] + j; /* non linear */
83
        mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
83
    mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
84
        i++; j++;
84
    i++; j++;
85
        if (i>=N) { mt[0] = mt[N-1]; i=1; }
85
    if (i>=N) { mt[0] = mt[N-1]; i=1; }
86
        if (j>=key_length) j=0;
86
    if (j>=key_length) j=0;
87
    }
87
  }
88
    for (k=N-1; k; k--) {
88
  for (k=N-1; k; k--) {
89
        mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941UL))
89
    mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941UL))
90
          - i; /* non linear */
90
      - i; /* non linear */
91
        mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
91
    mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
92
        i++;
92
    i++;
93
        if (i>=N) { mt[0] = mt[N-1]; i=1; }
93
    if (i>=N) { mt[0] = mt[N-1]; i=1; }
94
    }
94
  }
95
 
95
 
96
    mt[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */
96
  mt[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */
97
}
97
}
98
 
98
 
99
/* generates a random number on [0,0xffffffff]-interval */
99
/* generates a random number on [0,0xffffffff]-interval */
100
unsigned long genrand_int32(void)
100
unsigned long genrand_int32(void)
101
{
101
{
102
    unsigned long y;
102
  unsigned long y;
103
    static unsigned long mag01[2]={0x0UL, MATRIX_A};
103
  static unsigned long mag01[2]={0x0UL, MATRIX_A};
104
    /* mag01[x] = x * MATRIX_A  for x=0,1 */
104
  /* mag01[x] = x * MATRIX_A  for x=0,1 */
105
 
-
 
106
    if (mti >= N) { /* generate N words at one time */
-
 
107
        int kk;
-
 
108
 
-
 
109
        if (mti == N+1)   /* if init_genrand() has not been called, */
-
 
110
            init_genrand(5489UL); /* a default initial seed is used */
-
 
111
 
-
 
112
        for (kk=0;kk<N-M;kk++) {
-
 
113
            y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
-
 
114
            mt[kk] = mt[kk+M] ^ (y >> 1) ^ mag01[y & 0x1UL];
-
 
115
        }
-
 
116
        for (;kk<N-1;kk++) {
-
 
117
            y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
-
 
118
            mt[kk] = mt[kk+(M-N)] ^ (y >> 1) ^ mag01[y & 0x1UL];
-
 
119
        }
-
 
120
        y = (mt[N-1]&UPPER_MASK)|(mt[0]&LOWER_MASK);
-
 
121
        mt[N-1] = mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1UL];
-
 
122
 
105
 
-
 
106
  if (mti >= N) { /* generate N words at one time */
123
        mti = 0;
107
    int kk;
-
 
108
 
-
 
109
    if (mti == N+1)   /* if init_genrand() has not been called, */
-
 
110
      init_genrand(5489UL); /* a default initial seed is used */
-
 
111
 
-
 
112
    for (kk=0;kk<N-M;kk++) {
-
 
113
      y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
-
 
114
      mt[kk] = mt[kk+M] ^ (y >> 1) ^ mag01[y & 0x1UL];
-
 
115
    }
-
 
116
    for (;kk<N-1;kk++) {
-
 
117
      y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
-
 
118
      mt[kk] = mt[kk+(M-N)] ^ (y >> 1) ^ mag01[y & 0x1UL];
124
    }
119
    }
-
 
120
    y = (mt[N-1]&UPPER_MASK)|(mt[0]&LOWER_MASK);
-
 
121
    mt[N-1] = mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1UL];
-
 
122
 
-
 
123
    mti = 0;
-
 
124
  }
125
 
125
 
126
    y = mt[mti++];
126
  y = mt[mti++];
127
 
127
 
128
    /* Tempering */
128
  /* Tempering */
129
    y ^= (y >> 11);
129
  y ^= (y >> 11);
130
    y ^= (y << 7) & 0x9d2c5680UL;
130
  y ^= (y << 7) & 0x9d2c5680UL;
131
    y ^= (y << 15) & 0xefc60000UL;
131
  y ^= (y << 15) & 0xefc60000UL;
132
    y ^= (y >> 18);
132
  y ^= (y >> 18);
133
 
133
 
134
    return y;
134
  return y;
135
}
135
}
136
 
136
 
137
/* generates a random number on [0,0x7fffffff]-interval */
137
/* generates a random number on [0,0x7fffffff]-interval */
138
long genrand_int31(void)
138
long genrand_int31(void)
139
{
139
{
140
    return (long)(genrand_int32()>>1);
140
  return (long)(genrand_int32()>>1);
141
}
141
}
142
 
142
 
143
/* generates a random number on [0,1]-real-interval */
143
/* generates a random number on [0,1]-real-interval */
144
double genrand_real1(void)
144
double genrand_real1(void)
145
{
145
{
146
    return genrand_int32()*(1.0/4294967295.0);
146
  return genrand_int32()*(1.0/4294967295.0);
147
    /* divided by 2^32-1 */
147
    /* divided by 2^32-1 */
148
}
148
}
149
 
149
 
150
/* generates a random number on [0,1)-real-interval */
150
/* generates a random number on [0,1)-real-interval */
151
double genrand_real2(void)
151
double genrand_real2(void)
152
{
152
{
153
    return genrand_int32()*(1.0/4294967296.0);
153
  return genrand_int32()*(1.0/4294967296.0);
154
    /* divided by 2^32 */
154
    /* divided by 2^32 */
155
}
155
}
156
 
156
 
157
/* generates a random number on (0,1)-real-interval */
157
/* generates a random number on (0,1)-real-interval */
158
double genrand_real3(void)
158
double genrand_real3(void)
159
{
159
{
160
    return (((double)genrand_int32()) + 0.5)*(1.0/4294967296.0);
160
  return (((double)genrand_int32()) + 0.5)*(1.0/4294967296.0);
161
    /* divided by 2^32 */
161
    /* divided by 2^32 */
162
}
162
}
163
 
163
 
164
/* generates a random number on [0,1) with 53-bit resolution*/
164
/* generates a random number on [0,1) with 53-bit resolution*/
165
double genrand_res53(void)
165
double genrand_res53(void)
166
{
166
{
167
    unsigned long a=genrand_int32()>>5, b=genrand_int32()>>6;
167
  unsigned long a=genrand_int32()>>5, b=genrand_int32()>>6;
168
    return(a*67108864.0+b)*(1.0/9007199254740992.0);
168
  return(a*67108864.0+b)*(1.0/9007199254740992.0);
169
}
169
}
170
/* These real versions are due to Isaku Wada, 2002/01/09 added */
170
/* These real versions are due to Isaku Wada, 2002/01/09 added */
171
 
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