[772] | 1 | /* |
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| 2 | A C-program for MT19937, with initialization improved 2002/1/26. |
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| 3 | Coded by Takuji Nishimura and Makoto Matsumoto. |
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| 4 | |
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| 5 | Before using, initialize the state by using init_genrand(seed) |
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| 6 | or init_by_array(init_key, key_length). |
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| 7 | |
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| 8 | Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura, |
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| 9 | All rights reserved. |
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| 10 | |
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| 11 | Redistribution and use in source and binary forms, with or without |
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| 12 | modification, are permitted provided that the following conditions |
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| 13 | are met: |
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| 14 | |
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| 15 | 1. Redistributions of source code must retain the above copyright |
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| 16 | notice, this list of conditions and the following disclaimer. |
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| 17 | |
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| 18 | 2. Redistributions in binary form must reproduce the above copyright |
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| 19 | notice, this list of conditions and the following disclaimer in the |
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| 20 | documentation and/or other materials provided with the distribution. |
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| 21 | |
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| 22 | 3. The names of its contributors may not be used to endorse or promote |
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| 23 | products derived from this software without specific prior written |
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| 24 | permission. |
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| 25 | |
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| 26 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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| 27 | "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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| 28 | LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR |
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| 29 | A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR |
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| 30 | CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, |
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| 31 | EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, |
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| 32 | PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR |
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| 33 | PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF |
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| 34 | LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING |
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| 35 | NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS |
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| 36 | SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
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| 37 | |
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| 38 | |
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| 39 | Any feedback is very welcome. |
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| 40 | http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html |
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| 41 | email: m-mat @ math.sci.hiroshima-u.ac.jp (remove space) |
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| 42 | */ |
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| 43 | |
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| 44 | #include <stdio.h> |
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| 45 | |
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| 46 | #include "nrc_os_config.h" |
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| 47 | |
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| 48 | /* Period parameters */ |
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| 49 | #define N 624 |
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| 50 | #define M 397 |
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| 51 | #define MATRIX_A 0x9908b0dfUL /* constant vector a */ |
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| 52 | #define UPPER_MASK 0x80000000UL /* most significant w-r bits */ |
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| 53 | #define LOWER_MASK 0x7fffffffUL /* least significant r bits */ |
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| 54 | |
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| 55 | static unsigned long mt[N]; /* the array for the state vector */ |
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[821] | 56 | static int mti = N + 1 ; /* mti==N+1 means mt[N] is not initialized */ |
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[772] | 57 | |
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| 58 | static int global_seed; |
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| 59 | |
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| 60 | /* initializes mt[N] with a seed */ |
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| 61 | void init_genrand(unsigned long s) |
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| 62 | { |
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[821] | 63 | mt[0] = s & 0xffffffffUL; |
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[772] | 64 | global_seed = s; // modif LL |
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[821] | 65 | for (mti = 1; mti < N; mti++) { |
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| 66 | mt[mti] = (1812433253UL * (mt[mti - 1] ^ (mt[mti - 1] >> 30)) + mti); |
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[772] | 67 | /* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */ |
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| 68 | /* In the previous versions, MSBs of the seed affect */ |
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| 69 | /* only MSBs of the array mt[]. */ |
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| 70 | /* 2002/01/09 modified by Makoto Matsumoto */ |
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| 71 | mt[mti] &= 0xffffffffUL; |
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| 72 | /* for >32 bit machines */ |
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| 73 | } |
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| 74 | } |
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| 75 | |
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| 76 | /* initialize by an array with array-length */ |
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| 77 | /* init_key is the array for initializing keys */ |
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| 78 | /* key_length is its length */ |
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| 79 | /* slight change for C++, 2004/2/26 */ |
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| 80 | void init_by_array(unsigned long init_key[], int key_length) |
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| 81 | { |
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| 82 | int i, j, k; |
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| 83 | //init_genrand(19650218UL); |
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| 84 | init_genrand(global_seed); |
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[821] | 85 | i = 1; |
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| 86 | j = 0; |
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| 87 | k = (N > key_length ? N : key_length); |
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[772] | 88 | for (; k; k--) { |
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[821] | 89 | mt[i] = (mt[i] ^ ((mt[i - 1] ^ (mt[i - 1] >> 30)) * 1664525UL)) + init_key[j] + j; /* non linear */ |
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[772] | 90 | mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */ |
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[821] | 91 | i++; |
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| 92 | j++; |
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| 93 | if (i >= N) { |
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| 94 | mt[0] = mt[N - 1]; |
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| 95 | i = 1; |
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| 96 | } |
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| 97 | if (j >= key_length) { |
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| 98 | j = 0; |
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| 99 | } |
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[772] | 100 | } |
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[821] | 101 | for (k = N - 1; k; k--) { |
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| 102 | mt[i] = (mt[i] ^ ((mt[i - 1] ^ (mt[i - 1] >> 30)) * 1566083941UL)) - i; /* non linear */ |
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[772] | 103 | mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */ |
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| 104 | i++; |
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[821] | 105 | if (i >= N) { |
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| 106 | mt[0] = mt[N - 1]; |
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| 107 | i = 1; |
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| 108 | } |
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[772] | 109 | } |
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| 110 | |
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| 111 | mt[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */ |
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| 112 | } |
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| 113 | |
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| 114 | /* generates a random number on [0,0xffffffff]-interval */ |
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| 115 | unsigned long genrand_int32(void) |
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| 116 | { |
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| 117 | unsigned long y; |
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[821] | 118 | static unsigned long mag01[2] = {0x0UL, MATRIX_A}; |
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[772] | 119 | /* mag01[x] = x * MATRIX_A for x=0,1 */ |
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| 120 | |
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| 121 | if (mti >= N) { /* generate N words at one time */ |
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| 122 | int kk; |
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| 123 | |
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[821] | 124 | if (mti == N + 1) { /* if init_genrand() has not been called, */ |
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[772] | 125 | //init_genrand(5489UL); /* a default initial seed is used */ |
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| 126 | init_genrand(global_seed); |
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[821] | 127 | } |
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[772] | 128 | |
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[821] | 129 | for (kk = 0;kk < N - M; kk++) { |
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| 130 | y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK); |
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| 131 | mt[kk] = mt[kk + M] ^ (y >> 1) ^ mag01[y & 0x1UL]; |
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[772] | 132 | } |
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[821] | 133 | for (; kk < N - 1; kk++) { |
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| 134 | y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK); |
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| 135 | mt[kk] = mt[kk + (M - N)] ^ (y >> 1) ^ mag01[y & 0x1UL]; |
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[772] | 136 | } |
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[821] | 137 | y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK); |
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| 138 | mt[N - 1] = mt[M - 1] ^ (y >> 1) ^ mag01[y & 0x1UL]; |
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[772] | 139 | |
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| 140 | mti = 0; |
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| 141 | } |
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| 142 | |
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| 143 | y = mt[mti++]; |
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| 144 | |
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| 145 | /* Tempering */ |
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| 146 | y ^= (y >> 11); |
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| 147 | y ^= (y << 7) & 0x9d2c5680UL; |
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| 148 | y ^= (y << 15) & 0xefc60000UL; |
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| 149 | y ^= (y >> 18); |
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| 150 | |
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| 151 | return y; |
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| 152 | } |
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| 153 | |
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| 154 | /* generates a random number on [0,0x7fffffff]-interval */ |
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| 155 | long genrand_int31(void) |
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| 156 | { |
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[821] | 157 | return (long) (genrand_int32() >> 1); |
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[772] | 158 | } |
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| 159 | |
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| 160 | /* generates a random number on [0,1]-real-interval */ |
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| 161 | double genrand_real1(void) |
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| 162 | { |
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[821] | 163 | return genrand_int32() * (1.0 / 4294967295.0); |
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[772] | 164 | /* divided by 2^32-1 */ |
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| 165 | } |
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| 166 | |
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| 167 | /* generates a random number on [0,1)-real-interval */ |
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| 168 | double genrand_real2(void) |
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| 169 | { |
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[821] | 170 | return genrand_int32() * (1.0 / 4294967296.0); |
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[772] | 171 | /* divided by 2^32 */ |
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| 172 | } |
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| 173 | |
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| 174 | /* generates a random number on (0,1)-real-interval */ |
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| 175 | double genrand_real3(void) |
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| 176 | { |
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[821] | 177 | return (((double) genrand_int32()) + 0.5) * (1.0 / 4294967296.0); |
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[772] | 178 | /* divided by 2^32 */ |
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| 179 | } |
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| 180 | |
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| 181 | /* generates a random number on [0,1) with 53-bit resolution*/ |
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| 182 | double genrand_res53(void) |
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| 183 | { |
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[821] | 184 | unsigned long a = genrand_int32() >> 5, b = genrand_int32() >> 6; |
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| 185 | return (a * 67108864.0 + b) * (1.0 / 9007199254740992.0); |
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[772] | 186 | } |
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| 187 | /* These real versions are due to Isaku Wada, 2002/01/09 added */ |
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| 188 | |
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| 189 | int test_mt19937(void) |
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| 190 | { |
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| 191 | int i; |
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[821] | 192 | unsigned long init[4] = {0x123, 0x234, 0x345, 0x456}, length = 4; |
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[772] | 193 | init_by_array(init, length); |
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| 194 | printf("1000 outputs of genrand_int32()\n"); |
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[821] | 195 | for (i = 0; i < 1000; i++) { |
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[772] | 196 | printf("%10lu ", genrand_int32()); |
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[821] | 197 | if (i % 5 == 4) { |
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| 198 | printf("\n"); |
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| 199 | } |
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[772] | 200 | } |
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| 201 | printf("\n1000 outputs of genrand_real2()\n"); |
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[821] | 202 | for (i = 0; i < 1000; i++) { |
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[772] | 203 | printf("%10.8f ", genrand_real2()); |
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[821] | 204 | if (i % 5 == 4) { |
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| 205 | printf("\n"); |
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| 206 | } |
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[772] | 207 | } |
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| 208 | return 0; |
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| 209 | } |
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[821] | 210 | |
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| 211 | |
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| 212 | // Local Variables: |
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| 213 | // tab-width: 4 |
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| 214 | // c-basic-offset: 4 |
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| 215 | // c-file-offsets:((innamespace . 0)(inline-open . 0)) |
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| 216 | // indent-tabs-mode: nil |
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| 217 | // End: |
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| 218 | |
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| 219 | // vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=4:softtabstop=4 |
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| 220 | |
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