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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 "mt19937-64.h"
+#include <stdio.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);
+}
+
+#ifdef MT19937_64_MAIN
+int main(void)
+{
+ int i;
+ unsigned long long init[4]={0x12345ULL, 0x23456ULL, 0x34567ULL, 0x45678ULL}, length=4;
+ init_by_array64(init, length);
+ printf("1000 outputs of genrand64_int64()\n");
+ for (i=0; i<1000; i++) {
+ printf("%20llu ", genrand64_int64());
+ if (i%5==4) printf("\n");
+ }
+ printf("\n1000 outputs of genrand64_real2()\n");
+ for (i=0; i<1000; i++) {
+ printf("%10.8f ", genrand64_real2());
+ if (i%5==4) printf("\n");
+ }
+ return 0;
+}
+#endif