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/* | |
A C-program for MT19937, with initialization improved 2002/1/26. | |
Coded by Takuji Nishimura and Makoto Matsumoto. | |
Before using, initialize the state by using init_genrand(seed) | |
or init_by_array(init_key, key_length). | |
Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura, | |
All rights reserved. | |
Redistribution and use in source and binary forms, with or without | |
modification, are permitted provided that the following conditions | |
are met: | |
1. Redistributions of source code must retain the above copyright | |
notice, this list of conditions and the following disclaimer. | |
2. Redistributions in binary form must reproduce the above copyright | |
notice, this list of conditions and the following disclaimer in the | |
documentation and/or other materials provided with the distribution. | |
3. The names of its contributors may not be used to endorse or promote | |
products derived from this software without specific prior written | |
permission. | |
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | |
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | |
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR | |
A PARTICAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR | |
CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, | |
EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, | |
PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR | |
PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF | |
LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING | |
NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS | |
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | |
Any feedback is very welcome. | |
http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html | |
email: m-mat @ math.sci.hiroshima-u.ac.jp (remove space) | |
*/ | |
namespace mersenne { | |
/* Period parameters */ | |
const unsigned int N = 624; | |
const unsigned int M = 397; | |
const unsigned int MATRIX_A = 0x9908b0df; /* constant vector a */ | |
const unsigned int UPPER_MASK = 0x80000000; /* most significant w-r bits */ | |
const unsigned int LOWER_MASK = 0x7fffffff; /* least significant r bits */ | |
static unsigned int mt[N]; /* the array for the state vector */ | |
static int mti = N + 1; /* mti==N+1 means mt[N] is not initialized */ | |
/* initializes mt[N] with a seed */ | |
void init_genrand(unsigned int s) | |
{ | |
mt[0] = s & 0xffffffff; | |
for (mti = 1; mti < static_cast<int>(N); mti++) | |
{ | |
mt[mti] = (1812433253 * (mt[mti - 1] ^ (mt[mti - 1] >> 30)) + mti); | |
/* See Knuth TAOCP Vol2. 3rd Ed. P.106 for mtiplier. */ | |
/* In the previous versions, MSBs of the seed affect */ | |
/* only MSBs of the array mt[]. */ | |
/* 2002/01/09 modified by Makoto Matsumoto */ | |
mt[mti] &= 0xffffffff; | |
/* for >32 bit machines */ | |
} | |
} | |
/* 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 int init_key[], int key_length) | |
{ | |
int i, j, k; | |
init_genrand(19650218); | |
i = 1; | |
j = 0; | |
k = (static_cast<int>(N) > key_length | |
? static_cast<int>(N) | |
: key_length); | |
for (; k; k--) | |
{ | |
mt[i] = (mt[i] ^ ((mt[i - 1] ^ (mt[i - 1] >> 30)) * 1664525)) | |
+ init_key[j] + j; /* non linear */ | |
mt[i] &= 0xffffffff; /* for WORDSIZE > 32 machines */ | |
i++; | |
j++; | |
if (i >= static_cast<int>(N)) | |
{ | |
mt[0] = mt[N - 1]; | |
i = 1; | |
} | |
if (j >= key_length) j = 0; | |
} | |
for (k = N - 1; k; k--) | |
{ | |
mt[i] = (mt[i] ^ ((mt[i - 1] ^ (mt[i - 1] >> 30)) * 1566083941)) - i; /* non linear */ | |
mt[i] &= 0xffffffff; /* for WORDSIZE > 32 machines */ | |
i++; | |
if (i >= static_cast<int>(N)) | |
{ | |
mt[0] = mt[N - 1]; | |
i = 1; | |
} | |
} | |
mt[0] = 0x80000000; /* MSB is 1; assuring non-zero initial array */ | |
} | |
/* generates a random number on [0,0xffffffff]-interval */ | |
unsigned int genrand_int32(void) | |
{ | |
unsigned int y; | |
static unsigned int mag01[2] = { 0x0, MATRIX_A }; | |
/* mag01[x] = x * MATRIX_A for x=0,1 */ | |
if (mti >= static_cast<int>(N)) | |
{ /* generate N words at one time */ | |
int kk; | |
if (mti == N + 1) /* if init_genrand() has not been called, */ | |
init_genrand(5489); /* a defat initial seed is used */ | |
for (kk = 0; kk < static_cast<int>(N - M); kk++) | |
{ | |
y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK); | |
mt[kk] = mt[kk + M] ^ (y >> 1) ^ mag01[y & 0x1]; | |
} | |
for (; kk < static_cast<int>(N - 1); kk++) | |
{ | |
y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK); | |
mt[kk] = mt[kk + (M - N)] ^ (y >> 1) ^ mag01[y & 0x1]; | |
} | |
y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK); | |
mt[N - 1] = mt[M - 1] ^ (y >> 1) ^ mag01[y & 0x1]; | |
mti = 0; | |
} | |
y = mt[mti++]; | |
/* Tempering */ | |
y ^= (y >> 11); | |
y ^= (y << 7) & 0x9d2c5680; | |
y ^= (y << 15) & 0xefc60000; | |
y ^= (y >> 18); | |
return y; | |
} | |
} // namespace mersenne | |