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- /*
- A C-program for MT19937-64 (2004/9/29 version).
- Coded by Takuji Nishimura and Makoto Matsumoto.
- This is a 64-bit version of Mersenne Twister pseudorandom number
- generator.
- Before using, initialize the state by using init_genrand64(seed)
- or init_by_array64(init_key, key_length).
- Copyright (C) 2004, 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 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.
- References:
- T. Nishimura, ``Tables of 64-bit Mersenne Twisters''
- ACM Transactions on Modeling and
- Computer Simulation 10. (2000) 348--357.
- M. Matsumoto and T. Nishimura,
- ``Mersenne Twister: a 623-dimensionally equidistributed
- uniform pseudorandom number generator''
- ACM Transactions on Modeling and
- Computer Simulation 8. (Jan. 1998) 3--30.
- Any feedback is very welcome.
- http://www.math.hiroshima-u.ac.jp/~m-mat/MT/emt.html
- email: m-mat @ math.sci.hiroshima-u.ac.jp (remove spaces)
- */
- #include <stdio.h>
- #include "mt64.h"
- #define NN 312
- #define MM 156
- #define MATRIX_A 0xB5026F5AA96619E9ULL
- #define UM 0xFFFFFFFF80000000ULL /* Most significant 33 bits */
- #define LM 0x7FFFFFFFULL /* Least significant 31 bits */
- /* The array for the state vector */
- static unsigned long long mt[NN];
- /* mti==NN+1 means mt[NN] is not initialized */
- static int mti=NN+1;
- /* initializes mt[NN] with a seed */
- void init_genrand64(unsigned long long seed)
- {
- mt[0] = seed;
- for (mti=1; mti<NN; mti++)
- mt[mti] = (6364136223846793005ULL * (mt[mti-1] ^ (mt[mti-1] >> 62)) + mti);
- }
- /* initialize by an array with array-length */
- /* init_key is the array for initializing keys */
- /* key_length is its length */
- void init_by_array64(unsigned long long init_key[],
- unsigned long long key_length)
- {
- unsigned long long i, j, k;
- init_genrand64(19650218ULL);
- i=1; j=0;
- k = (NN>key_length ? NN : key_length);
- for (; k; k--) {
- mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 62)) * 3935559000370003845ULL))
- + init_key[j] + j; /* non linear */
- i++; j++;
- if (i>=NN) { mt[0] = mt[NN-1]; i=1; }
- if (j>=key_length) j=0;
- }
- for (k=NN-1; k; k--) {
- mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 62)) * 2862933555777941757ULL))
- - i; /* non linear */
- i++;
- if (i>=NN) { mt[0] = mt[NN-1]; i=1; }
- }
- mt[0] = 1ULL << 63; /* MSB is 1; assuring non-zero initial array */
- }
- /* generates a random number on [0, 2^64-1]-interval */
- unsigned long long genrand64_int64(void)
- {
- int i;
- unsigned long long x;
- static unsigned long long mag01[2]={0ULL, MATRIX_A};
- if (mti >= NN) { /* generate NN words at one time */
- /* if init_genrand64() has not been called, */
- /* a default initial seed is used */
- if (mti == NN+1)
- init_genrand64(5489ULL);
- for (i=0;i<NN-MM;i++) {
- x = (mt[i]&UM)|(mt[i+1]&LM);
- mt[i] = mt[i+MM] ^ (x>>1) ^ mag01[(int)(x&1ULL)];
- }
- for (;i<NN-1;i++) {
- x = (mt[i]&UM)|(mt[i+1]&LM);
- mt[i] = mt[i+(MM-NN)] ^ (x>>1) ^ mag01[(int)(x&1ULL)];
- }
- x = (mt[NN-1]&UM)|(mt[0]&LM);
- mt[NN-1] = mt[MM-1] ^ (x>>1) ^ mag01[(int)(x&1ULL)];
- mti = 0;
- }
-
- x = mt[mti++];
- x ^= (x >> 29) & 0x5555555555555555ULL;
- x ^= (x << 17) & 0x71D67FFFEDA60000ULL;
- x ^= (x << 37) & 0xFFF7EEE000000000ULL;
- x ^= (x >> 43);
- return x;
- }
- /* generates a random number on [0, 2^63-1]-interval */
- long long genrand64_int63(void)
- {
- return (long long)(genrand64_int64() >> 1);
- }
- /* generates a random number on [0,1]-real-interval */
- double genrand64_real1(void)
- {
- return (genrand64_int64() >> 11) * (1.0/9007199254740991.0);
- }
- /* generates a random number on [0,1)-real-interval */
- double genrand64_real2(void)
- {
- return (genrand64_int64() >> 11) * (1.0/9007199254740992.0);
- }
- /* generates a random number on (0,1)-real-interval */
- double genrand64_real3(void)
- {
- return ((genrand64_int64() >> 12) + 0.5) * (1.0/4503599627370496.0);
- }
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