// 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. // // RandMT class created by Paul Gresham // There seems to be a slight performance deficit in process creation // however I've not profiled the class to compare it with the straight // C code. // // Use of a class removes many C nasties and also allows you to easily // create multiple generators. // To compile on GNU a simple line is: // g++ -O3 RandMT.cc -o RandMT // #include #include // To keep this all as one file (easier distribution) the class is // in the code, cut'n'paste this bit to create a .h for use in // other programs #ifndef _RANDMT_H_ #define _RANDMT_H_ class RandMT { static const int N = 624; // length of state vector static const int M = 397; // a period parameter static const uint32_t K = 0x9908B0DFU; // a magic constant // If you want a single generator, consider using a singleton class // instead of trying to make these static. uint32_t state[N+1]; // state vector + 1 extra to not violate ANSI C uint32_t *next; // next random value is computed from here uint32_t initseed; // int left; // can *next++ this many times before reloading inline uint32_t hiBit(uint32_t u) { return u & 0x80000000U; // mask all but highest bit of u } inline uint32_t loBit(uint32_t u) { return u & 0x00000001U; // mask all but lowest bit of u } inline uint32_t loBits(uint32_t u) { return u & 0x7FFFFFFFU; // mask the highest bit of u } inline uint32_t mixBits(uint32_t u, uint32_t v) { return hiBit(u)|loBits(v); // move hi bit of u to hi bit of v } uint32_t reloadMT(void) ; public: RandMT() ; RandMT(uint32_t seed) ; uint32_t randomMT(void); void seedMT(uint32_t seed) ; }; #endif // _RANDMT_H_