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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 |
|
57 | mt[0]= s & 0xffffffffUL; |
58 |
|
58 | for (mti=1; mti<N; mti++) { |
59 |
|
59 | mt[mti] = |
60 |
|
60 | (1812433253UL * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti); |
61 |
|
61 | /* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */ |
62 |
|
62 | /* In the previous versions, MSBs of the seed affect */ |
63 |
|
63 | /* only MSBs of the array mt[]. */ |
64 |
|
64 | /* 2002/01/09 modified by Makoto Matsumoto */ |
65 |
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65 | mt[mti] &= 0xffffffffUL; |
66 |
|
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 |
|
76 | int i, j, k; |
77 |
|
77 | init_genrand(19650218UL); |
78 |
|
78 | i=1; j=0; |
79 |
|
79 | k = (N>key_length ? N : key_length); |
80 |
|
80 | for (; k; k--) { |
81 |
|
81 | mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525UL)) |
82 |
|
82 | + init_key[j] + j; /* non linear */ |
83 |
|
83 | mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */ |
84 |
|
84 | i++; j++; |
85 |
|
85 | if (i>=N) { mt[0] = mt[N-1]; i=1; } |
86 |
|
86 | if (j>=key_length) j=0; |
87 |
|
87 | } |
88 |
|
88 | for (k=N-1; k; k--) { |
89 |
|
89 | mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941UL)) |
90 |
|
90 | - i; /* non linear */ |
91 |
|
91 | mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */ |
92 |
|
92 | i++; |
93 |
|
93 | if (i>=N) { mt[0] = mt[N-1]; i=1; } |
94 |
|
94 | } |
95 | 95 | ||
96 |
|
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 |
|
102 | unsigned long y; |
103 |
|
103 | static unsigned long mag01[2]={0x0UL, MATRIX_A}; |
104 |
|
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 |
|
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 |
|
126 | y = mt[mti++]; |
127 | 127 | ||
128 |
|
128 | /* Tempering */ |
129 |
|
129 | y ^= (y >> 11); |
130 |
|
130 | y ^= (y << 7) & 0x9d2c5680UL; |
131 |
|
131 | y ^= (y << 15) & 0xefc60000UL; |
132 |
|
132 | y ^= (y >> 18); |
133 | 133 | ||
134 |
|
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 |
|
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 |
|
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 |
|
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 |
|
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 |
|
167 | unsigned long a=genrand_int32()>>5, b=genrand_int32()>>6; |
168 |
|
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 | - |