/* A C-program for MT19937, with improved initialization 2002/1/26. This is an optimized version that amortizes the shift/reload cost, by Eric Landry 2004-03-15. Before using, initialize the state by using init_genrand(seed) or init_by_array(init_key, key_length). Copyright (C) 1997--2004, Makoto Matsumoto, Takuji Nishimura, and Eric Landry; 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 PARTICULAR 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) Reference: M. Matsumoto and T. Nishimura, "Mersenne Twister: A 623-Dimensionally Equidistributed Uniform Pseudo-Random Number Generator", ACM Transactions on Modeling and Computer Simulation, Vol. 8, No. 1, January 1998, pp 3--30. */ #include "tm_mt.h" #include "ompi_config.h" /* Period parameters */ #define N 624 #define M 397 #define MATRIX_A 0x9908b0dfUL /* constant vector a */ #define UPPER_MASK 0x80000000UL /* most significant w-r bits */ #define LOWER_MASK 0x7fffffffUL /* least significant r bits */ static unsigned long x[N]; /* the array for the state vector */ static unsigned long *p0, *p1, *pm; OMPI_HIDDEN long tm_genrand_int31(void); OMPI_HIDDEN double tm_genrand_real1(void); OMPI_HIDDEN double tm_genrand_real2(void); OMPI_HIDDEN double tm_genrand_real3(void); OMPI_HIDDEN double tm_genrand_res53(void); OMPI_HIDDEN void init_by_array(unsigned long init_key[], int key_length); /* initialize with a seed See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. In the previous versions, MSBs of the seed affect only MSBs of the state. 2002-01-09 modified by Makoto Matsumoto */ void tm_init_genrand(unsigned long s) { int i; x[0] = s & 0xffffffffUL; for (i = 1; i < N; ++i) { x[i] = (1812433253UL * (x[i - 1] ^ (x[i - 1] >> 30)) + i) & 0xffffffffUL; /* for >32 bit machines */ } p0 = x; p1 = x + 1; pm = x + M; } /* initialize by an array with array-length init_key is the array for initializing keys key_length is its length 2004-02-26 slight change for C++ */ void init_by_array(unsigned long init_key[], int key_length) { int i, j, k; tm_init_genrand(19650218UL); i = 1; j = 0; for (k = (N > key_length ? N : key_length); k; --k) { /* non linear */ x[i] = ((x[i] ^ ((x[i - 1] ^ (x[i - 1] >> 30)) * 1664525UL)) + init_key[j] + j) & 0xffffffffUL; /* for WORDSIZE > 32 machines */ if (++i >= N) { x[0] = x[N - 1]; i = 1; } if (++j >= key_length) { j = 0; } } for (k = N - 1; k; --k) { /* non linear */ x[i] = ((x[i] ^ ((x[i - 1] ^ (x[i - 1] >> 30)) * 1566083941UL)) - i) & 0xffffffffUL; /* for WORDSIZE > 32 machines */ if (++i >= N) { x[0] = x[N - 1]; i = 1; } } x[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */ } /* generates a random number on the interval [0,0xffffffff] */ unsigned long tm_genrand_int32(void) { unsigned long y; if (!p0) { /* Default seed */ tm_init_genrand(5489UL); } /* Twisted feedback */ y = *p0 = *pm++ ^ (((*p0 & UPPER_MASK) | (*p1 & LOWER_MASK)) >> 1) ^ (-(*p1 & 1) & MATRIX_A); p0 = p1++; if (pm == x + N) { pm = x; } if (p1 == x + N) { p1 = x; } /* Temper */ y ^= y >> 11; y ^= y << 7 & 0x9d2c5680UL; y ^= y << 15 & 0xefc60000UL; y ^= y >> 18; return y; } /* generates a random number on the interval [0,0x7fffffff] */ long tm_genrand_int31(void) { return (long) (tm_genrand_int32() >> 1); } /* generates a random number on the real interval [0,1] */ double tm_genrand_real1(void) { return tm_genrand_int32() * (1.0 / 4294967295.0); /* divided by 2^32-1 */ } /* generates a random number on the real interval [0,1) */ double tm_genrand_real2(void) { return tm_genrand_int32() * (1.0 / 4294967296.0); /* divided by 2^32 */ } /* generates a random number on the real interval (0,1) */ double tm_genrand_real3(void) { return (((double) tm_genrand_int32()) + 0.5) * (1.0 / 4294967296.0); /* divided by 2^32 */ } /* generates a 53-bit random number on the real interval [0,1) */ double tm_genrand_res53(void) { unsigned long a = tm_genrand_int32() >> 5, b = tm_genrand_int32() >> 6; return (a * 67108864.0 + b) * (1.0 / 9007199254740992.0); } /* 2002-01-09 These real versions are due to Isaku Wada */