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-/*
- A C-program for MT19937, with initialization improved 2002/2/10.
- Coded by Takuji Nishimura and Makoto Matsumoto.
- This is a faster version by taking Shawn Cokus's optimization,
- Matthe Bellew's simplification, Isaku Wada's real version.
-
- Before using, initialize the state by using init_genrand(seed)
- or init_by_array(init_key, key_length).
-
- Copyright (C) 1997 - 2002, 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.
-
-
- Any feedback is very welcome.
- http://www.math.keio.ac.jp/matumoto/emt.html
- email: matumoto@math.keio.ac.jp
-*/
-
-#include "mt19937.h"
-
-/* Period parameters */
-#define N 624
-#define M 397
-#define MATRIX_A 0x9908b0dfUL /* constant vector a */
-#define UMASK 0x80000000UL /* most significant w-r bits */
-#define LMASK 0x7fffffffUL /* least significant r bits */
-#define MIXBITS(u,v) ( ((u) & UMASK) | ((v) & LMASK) )
-#define TWIST(u,v) ((MIXBITS(u,v) >> 1) ^ ((v)&1UL ? MATRIX_A : 0UL))
-
-static unsigned long state[N]; /* the array for the state vector */
-static int left = 1;
-static int initf = 0;
-static unsigned long *next;
-
-/* initializes state[N] with a seed */
-void init_genrand(unsigned long s)
-{
- int j;
- state[0]= s & 0xffffffffUL;
- for (j=1; j<N; j++) {
- state[j] = (1812433253UL * (state[j-1] ^ (state[j-1] >> 30)) + j);
- /* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */
- /* In the previous versions, MSBs of the seed affect */
- /* only MSBs of the array state[]. */
- /* 2002/01/09 modified by Makoto Matsumoto */
- state[j] &= 0xffffffffUL; /* for >32 bit machines */
- }
- left = 1; initf = 1;
-}
-
-/* initialize by an array with array-length */
-/* init_key is the array for initializing keys */
-/* key_length is its length */
-void init_by_array(unsigned long init_key[], unsigned long key_length)
-{
- unsigned int i, j, k;
- init_genrand(19650218UL);
- i=1; j=0;
- k = (N>key_length ? N : key_length);
- for (; k; k--) {
- state[i] = (state[i] ^ ((state[i-1] ^ (state[i-1] >> 30)) * 1664525UL))
- + init_key[j] + j; /* non linear */
- state[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
- i++; j++;
- if (i>=N) { state[0] = state[N-1]; i=1; }
- if (j>=key_length) j=0;
- }
- for (k=N-1; k; k--) {
- state[i] = (state[i] ^ ((state[i-1] ^ (state[i-1] >> 30)) * 1566083941UL))
- - i; /* non linear */
- state[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
- i++;
- if (i>=N) { state[0] = state[N-1]; i=1; }
- }
-
- state[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */
- left = 1; initf = 1;
-}
-
-static void next_state(void)
-{
- unsigned long *p=state;
- int j;
-
- /* if init_genrand() has not been called, */
- /* a default initial seed is used */
- if (initf==0) init_genrand(5489UL);
-
- left = N;
- next = state;
-
- for (j=N-M+1; --j; p++)
- *p = p[M] ^ TWIST(p[0], p[1]);
-
- for (j=M; --j; p++)
- *p = p[M-N] ^ TWIST(p[0], p[1]);
-
- *p = p[M-N] ^ TWIST(p[0], state[0]);
-}
-
-/* generates a random number on [0,0xffffffff]-interval */
-unsigned long genrand_int32(void)
-{
- unsigned long y;
-
- if (--left == 0) next_state();
- y = *next++;
-
- /* Tempering */
- y ^= (y >> 11);
- y ^= (y << 7) & 0x9d2c5680UL;
- y ^= (y << 15) & 0xefc60000UL;
- y ^= (y >> 18);
-
- return y;
-}
-
-/* generates a random number on [0,0x7fffffff]-interval */
-long genrand_int31(void)
-{
- unsigned long y;
-
- if (--left == 0) next_state();
- y = *next++;
-
- /* Tempering */
- y ^= (y >> 11);
- y ^= (y << 7) & 0x9d2c5680UL;
- y ^= (y << 15) & 0xefc60000UL;
- y ^= (y >> 18);
-
- return (long)(y>>1);
-}
-
-/* generates a random number on [0,1]-real-interval */
-double genrand_real1(void)
-{
- unsigned long y;
-
- if (--left == 0) next_state();
- y = *next++;
-
- /* Tempering */
- y ^= (y >> 11);
- y ^= (y << 7) & 0x9d2c5680UL;
- y ^= (y << 15) & 0xefc60000UL;
- y ^= (y >> 18);
-
- return (double)y * (1.0/4294967295.0);
- /* divided by 2^32-1 */
-}
-
-/* generates a random number on [0,1)-real-interval */
-double genrand_real2(void)
-{
- unsigned long y;
-
- if (--left == 0) next_state();
- y = *next++;
-
- /* Tempering */
- y ^= (y >> 11);
- y ^= (y << 7) & 0x9d2c5680UL;
- y ^= (y << 15) & 0xefc60000UL;
- y ^= (y >> 18);
-
- return (double)y * (1.0/4294967296.0);
- /* divided by 2^32 */
-}
-
-/* generates a random number on (0,1)-real-interval */
-double genrand_real3(void)
-{
- unsigned long y;
-
- if (--left == 0) next_state();
- y = *next++;
-
- /* Tempering */
- y ^= (y >> 11);
- y ^= (y << 7) & 0x9d2c5680UL;
- y ^= (y << 15) & 0xefc60000UL;
- y ^= (y >> 18);
-
- return ((double)y + 0.5) * (1.0/4294967296.0);
- /* divided by 2^32 */
-}
-
-/* generates a random number on (0,1]-real-interval */
-double genrand_real4(void)
-{
- return 1.-genrand_real2();
-}
-
-/* generates a random number on [0,1) with 53-bit resolution*/
-double genrand_res53(void)
-{
- unsigned long a=genrand_int32()>>5, b=genrand_int32()>>6;
- return(a*67108864.0+b)*(1.0/9007199254740992.0);
-}
-/* These real versions are due to Isaku Wada, 2002/01/09 added */
-