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| 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 O
R |
| 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 #include "mt19937ar.h" |
| 45 |
| 46 /* Period parameters */ |
| 47 #define N 624 |
| 48 #define M 397 |
| 49 #define MATRIX_A 0x9908b0dfUL /* constant vector a */ |
| 50 #define UPPER_MASK 0x80000000UL /* most significant w-r bits */ |
| 51 #define LOWER_MASK 0x7fffffffUL /* least significant r bits */ |
| 52 |
| 53 MersenneTwister::MersenneTwister() : mt(N), mti(N+1) { |
| 54 } |
| 55 |
| 56 MersenneTwister::~MersenneTwister() { |
| 57 } |
| 58 |
| 59 /* initializes mt[N] with a seed */ |
| 60 void MersenneTwister::init_genrand(uint32 s) |
| 61 { |
| 62 mt[0]= s & 0xffffffffUL; |
| 63 for (mti=1; mti<N; mti++) { |
| 64 mt[mti] = |
| 65 (1812433253UL * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti); |
| 66 /* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */ |
| 67 /* In the previous versions, MSBs of the seed affect */ |
| 68 /* only MSBs of the array mt[]. */ |
| 69 /* 2002/01/09 modified by Makoto Matsumoto */ |
| 70 mt[mti] &= 0xffffffffUL; |
| 71 /* for >32 bit machines */ |
| 72 } |
| 73 } |
| 74 |
| 75 /* initialize by an array with array-length */ |
| 76 /* init_key is the array for initializing keys */ |
| 77 /* key_length is its length */ |
| 78 /* slight change for C++, 2004/2/26 */ |
| 79 void MersenneTwister::init_by_array(uint32 init_key[], int key_length) |
| 80 { |
| 81 int i, j, k; |
| 82 init_genrand(19650218UL); |
| 83 i=1; j=0; |
| 84 k = (N>key_length ? N : key_length); |
| 85 for (; k; k--) { |
| 86 mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525UL)) |
| 87 + init_key[j] + j; /* non linear */ |
| 88 mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */ |
| 89 i++; j++; |
| 90 if (i>=N) { mt[0] = mt[N-1]; i=1; } |
| 91 if (j>=key_length) j=0; |
| 92 } |
| 93 for (k=N-1; k; k--) { |
| 94 mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941UL)) |
| 95 - i; /* non linear */ |
| 96 mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */ |
| 97 i++; |
| 98 if (i>=N) { mt[0] = mt[N-1]; i=1; } |
| 99 } |
| 100 |
| 101 mt[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */ |
| 102 } |
| 103 |
| 104 /* generates a random number on [0,0xffffffff]-interval */ |
| 105 uint32 MersenneTwister::genrand_int32(void) |
| 106 { |
| 107 uint32 y; |
| 108 static uint32 mag01[2]={0x0UL, MATRIX_A}; |
| 109 /* mag01[x] = x * MATRIX_A for x=0,1 */ |
| 110 |
| 111 if (mti >= N) { /* generate N words at one time */ |
| 112 int kk; |
| 113 |
| 114 if (mti == N+1) /* if init_genrand() has not been called, */ |
| 115 init_genrand(5489UL); /* a default initial seed is used */ |
| 116 |
| 117 for (kk=0;kk<N-M;kk++) { |
| 118 y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK); |
| 119 mt[kk] = mt[kk+M] ^ (y >> 1) ^ mag01[y & 0x1UL]; |
| 120 } |
| 121 for (;kk<N-1;kk++) { |
| 122 y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK); |
| 123 mt[kk] = mt[kk+(M-N)] ^ (y >> 1) ^ mag01[y & 0x1UL]; |
| 124 } |
| 125 y = (mt[N-1]&UPPER_MASK)|(mt[0]&LOWER_MASK); |
| 126 mt[N-1] = mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1UL]; |
| 127 |
| 128 mti = 0; |
| 129 } |
| 130 |
| 131 y = mt[mti++]; |
| 132 |
| 133 /* Tempering */ |
| 134 y ^= (y >> 11); |
| 135 y ^= (y << 7) & 0x9d2c5680UL; |
| 136 y ^= (y << 15) & 0xefc60000UL; |
| 137 y ^= (y >> 18); |
| 138 |
| 139 return y; |
| 140 } |
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