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mtrand.cc (6857B)


      1 /*
      2 	NOTE: All of the functions have been commented out, with two
      3 	exceptions:
      4 	- init_genrand(seed) has been renamed to mt_srand(seed)
      5 	- genrand_int32(void) has been renamed to mt_rand(void)
      6 	The renaming was to resemble the naming of srand() and rand().
      7 	All other functions were unnecessary, and as such commented out.
      8 	-- KK
      9 */
     10 
     11 
     12 
     13 /*
     14    A C-program for MT19937, with initialization improved 2002/1/26.
     15    Coded by Takuji Nishimura and Makoto Matsumoto.
     16 
     17    Before using, initialize the state by using init_genrand(seed)
     18    or init_by_array(init_key, key_length).
     19 
     20    Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
     21    All rights reserved.
     22 
     23    Redistribution and use in source and binary forms, with or without
     24    modification, are permitted provided that the following conditions
     25    are met:
     26 
     27      1. Redistributions of source code must retain the above copyright
     28         notice, this list of conditions and the following disclaimer.
     29 
     30      2. Redistributions in binary form must reproduce the above copyright
     31         notice, this list of conditions and the following disclaimer in the
     32         documentation and/or other materials provided with the distribution.
     33 
     34      3. The names of its contributors may not be used to endorse or promote
     35         products derived from this software without specific prior written
     36         permission.
     37 
     38    THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
     39    "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
     40    LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
     41    A PARTICULAR PURPOSE ARE DISCLAIMED.
     42    IN NO EVENT SHALL THE COPYRIGHT OWNER OR
     43    CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
     44    EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
     45    PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
     46    PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
     47    LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
     48    NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
     49    SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
     50 
     51 
     52    Any feedback is very welcome.
     53    http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html
     54    email: m-mat @ math.sci.hiroshima-u.ac.jp (remove space)
     55 */
     56 
     57 /* Period parameters */
     58 #define N 624
     59 #define M 397
     60 #define MATRIX_A 0x9908b0dfUL   /* constant vector a */
     61 #define UPPER_MASK 0x80000000UL /* most significant w-r bits */
     62 #define LOWER_MASK 0x7fffffffUL /* least significant r bits */
     63 
     64 static unsigned long mt[N + M]; /* the array for the state vector  */
     65 static int mti = N + 1; 	/* mti == N+1 means: */
     66                                 /* mt[N] is not initialized */
     67 
     68 /* initializes mt[N] with a seed */
     69 void mt_srand(unsigned long s)
     70 {
     71     mt[0]= s & 0xffffffffUL;
     72     for (mti=1; mti<N; mti++) {
     73         mt[mti] =
     74 	    (1812433253UL * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti);
     75         /* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */
     76         /* In the previous versions, MSBs of the seed affect   */
     77         /* only MSBs of the array mt[].                        */
     78         /* 2002/01/09 modified by Makoto Matsumoto             */
     79         mt[mti] &= 0xffffffffUL;
     80         /* for >32 bit machines */
     81     }
     82 }
     83 
     84 /* initialize by an array with array-length */
     85 /* init_key is the array for initializing keys */
     86 /* key_length is its length */
     87 /* slight change for C++, 2004/2/26 */
     88 // void init_by_array(unsigned long init_key[], int key_length)
     89 // {
     90 //     int i, j, k;
     91 //     init_genrand(19650218UL);
     92 //     i=1; j=0;
     93 //     k = (N>key_length ? N : key_length);
     94 //     for (; k; k--) {
     95 //         mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525UL))
     96 //           + init_key[j] + j; /* non linear */
     97 //         mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
     98 //         i++; j++;
     99 //         if (i>=N) { mt[0] = mt[N-1]; i=1; }
    100 //         if (j>=key_length) j=0;
    101 //     }
    102 //     for (k=N-1; k; k--) {
    103 //         mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941UL))
    104 //           - i; /* non linear */
    105 //         mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
    106 //         i++;
    107 //         if (i>=N) { mt[0] = mt[N-1]; i=1; }
    108 //     }
    109 //
    110 //     mt[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */
    111 // }
    112 
    113 /* generates a random number on [0,0xffffffff]-interval */
    114 unsigned long mt_rand(void)
    115 {
    116     unsigned long y;
    117     static unsigned long mag01[2]={0x0UL, MATRIX_A};
    118     /* mag01[x] = x * MATRIX_A  for x=0,1 */
    119 
    120     if (mti >= N) { /* generate N words at one time */
    121         int kk;
    122 
    123         if (mti == N+1)   	/* if init_genrand() has not been called, */
    124             mt_srand(5489UL); 	/* a default initial seed is used */
    125 
    126         for (kk = 0; kk < N - M; kk++) {
    127             y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
    128             mt[kk] = mt[kk+M] ^ (y >> 1) ^ mag01[y & 0x1UL];
    129         }
    130         for (;kk<N-1;kk++) {
    131             y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
    132             mt[kk] = mt[kk+(M-N)] ^ (y >> 1) ^ mag01[y & 0x1UL];
    133         }
    134         y = (mt[N-1]&UPPER_MASK)|(mt[0]&LOWER_MASK);
    135         mt[N-1] = mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1UL];
    136 
    137         mti = 0;
    138     }
    139 
    140     y = mt[mti++];
    141 
    142     /* Tempering */
    143     y ^= (y >> 11);
    144     y ^= (y << 7) & 0x9d2c5680UL;
    145     y ^= (y << 15) & 0xefc60000UL;
    146     y ^= (y >> 18);
    147 
    148     return y;
    149 }
    150 
    151 /* generates a random number on [0,0x7fffffff]-interval */
    152 // long genrand_int31(void)
    153 // {
    154 //     return (long)(genrand_int32()>>1);
    155 // }
    156 
    157 /* generates a random number on [0,1]-real-interval */
    158 // double genrand_real1(void)
    159 // {
    160 //     return genrand_int32()*(1.0/4294967295.0);
    161 //     /* divided by 2^32-1 */
    162 // }
    163 
    164 /* generates a random number on [0,1)-real-interval */
    165 // double genrand_real2(void)
    166 // {
    167 //     return genrand_int32()*(1.0/4294967296.0);
    168 //     /* divided by 2^32 */
    169 // }
    170 
    171 /* generates a random number on (0,1)-real-interval */
    172 // double genrand_real3(void)
    173 // {
    174 //     return (((double)genrand_int32()) + 0.5)*(1.0/4294967296.0);
    175 //     /* divided by 2^32 */
    176 // }
    177 
    178 /* generates a random number on [0,1) with 53-bit resolution*/
    179 // double genrand_res53(void)
    180 // {
    181 //     unsigned long a=genrand_int32()>>5, b=genrand_int32()>>6;
    182 //     return(a*67108864.0+b)*(1.0/9007199254740992.0);
    183 // }
    184 /* These real versions are due to Isaku Wada, 2002/01/09 added */
    185 
    186 // int main(void)
    187 // {
    188 //     int i;
    189 //     unsigned long init[4]={0x123, 0x234, 0x345, 0x456}, length=4;
    190 //     init_by_array(init, length);
    191 //     printf("1000 outputs of genrand_int32()\n");
    192 //     for (i=0; i<1000; i++) {
    193 //       printf("%10lu ", genrand_int32());
    194 //       if (i%5==4) printf("\n");
    195 //     }
    196 //     printf("\n1000 outputs of genrand_real2()\n");
    197 //     for (i=0; i<1000; i++) {
    198 //       printf("%10.8f ", genrand_real2());
    199 //       if (i%5==4) printf("\n");
    200 //     }
    201 //     return 0;
    202 // }