/* // This is the ``Mersenne Twister'' random number generator MT19937, which // generates pseudorandom integers uniformly distributed in 0..(2^32 - 1) // starting from any odd seed in 0..(2^32 - 1). This version is a recode // by Shawn Cokus (Cokus@math.washington.edu) on March 8, 1998 of a version by // Takuji Nishimura (who had suggestions from Topher Cooper and Marc Rieffel in // July-August 1997). // // Effectiveness of the recoding (on Goedel2.math.washington.edu, a DEC Alpha // running OSF/1) using GCC -O3 as a compiler: before recoding: 51.6 sec. to // generate 300 million random numbers; after recoding: 24.0 sec. for the same // (i.e., 46.5% of original time), so speed is now about 12.5 million random // number generations per second on this machine. // // According to the URL // (and paraphrasing a bit in places), the Mersenne Twister is ``designed // with consideration of the flaws of various existing generators,'' has // a period of 2^19937 - 1, gives a sequence that is 623-dimensionally // equidistributed, and ``has passed many stringent tests, including the // die-hard test of G. Marsaglia and the load test of P. Hellekalek and // S. Wegenkittl.'' It is efficient in memory usage (typically using 2506 // to 5012 bytes of static data, depending on data type sizes, and the code // is quite short as well). It generates random numbers in batches of 624 // at a time, so the caching and pipelining of modern systems is exploited. // It is also divide- and mod-free. // // This library is free software; you can redistribute it and/or modify it // under the terms of the GNU Library General Public License as published by // the Free Software Foundation (either version 2 of the License or, at your // option, any later version). This library is distributed in the hope that // it will be useful, but WITHOUT ANY WARRANTY, without even the implied // warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See // the GNU Library General Public License for more details. You should have // received a copy of the GNU Library General Public License along with this // library; if not, write to the Free Software Foundation, Inc., 59 Temple // Place, Suite 330, Boston, MA 02111-1307, USA. // // The code as Shawn received it included the following notice: // // Copyright (C) 1997 Makoto Matsumoto and Takuji Nishimura. When // you use this, send an e-mail to with // an appropriate reference to your work. // // It would be nice to CC: when you write. // */ #include #include "mt_rand.h" #define N (624) /* length of state vector */ #define M (397) /* a period parameter */ #define K (0x9908B0DFU) /* a magic constant */ #define hiBit(u) ((u) & 0x80000000U) /* mask all but highest bit of u */ #define loBit(u) ((u) & 0x00000001U) /* mask all but lowest bit of u */ #define loBits(u) ((u) & 0x7FFFFFFFU) /* mask the highest bit of u */ #define mixBits(u, v) (hiBit(u)|loBits(v)) /* move hi bit of u to hi bit of v */ static unsigned long state[N + 1]; /* state vector + 1 extra to not violate ANSI C */ static unsigned long *next; /* next random value is computed from here */ static int left = -1; /* can *next++ this many times before reloading */ void mt_seed (unsigned long seed) { register unsigned long x = (seed | 1U) & 0xFFFFFFFFU, *s = state; register int j; for (left = 0, *s++ = x, j = N; --j; *s++ = (x *= 69069U) & 0xFFFFFFFFU); } unsigned long mt_reload (void) { register unsigned long *p0 = state, *p2 = state + 2, *pM = state + M, s0, s1; register int j; if (left < -1) mt_seed (time (NULL)); left = N - 1, next = state + 1; for (s0 = state[0], s1 = state[1], j = N - M + 1; --j; s0 = s1, s1 = *p2++) *p0++ = *pM++ ^ (mixBits (s0, s1) >> 1) ^ (loBit (s1) ? K : 0U); for (pM = state, j = M; --j; s0 = s1, s1 = *p2++) *p0++ = *pM++ ^ (mixBits (s0, s1) >> 1) ^ (loBit (s1) ? K : 0U); s1 = state[0], *p0 = *pM ^ (mixBits (s0, s1) >> 1) ^ (loBit (s1) ? K : 0U); s1 ^= (s1 >> 11); s1 ^= (s1 << 7) & 0x9D2C5680U; s1 ^= (s1 << 15) & 0xEFC60000U; return (s1 ^ (s1 >> 18)); } unsigned long mt_random (void) { unsigned long y; if (--left < 0) return (mt_reload ()); y = *next++; y ^= (y >> 11); y ^= (y << 7) & 0x9D2C5680U; y ^= (y << 15) & 0xEFC60000U; return (y ^ (y >> 18)); } int mt_rand (void) { unsigned long r = mt_random (); while (r >> 16) r = (r & 0xFFFF) + (r >> 16); return (int)(r); }