src/common/rand.cc

00001 #include <stdlib.h>
00002 #include <math.h>
00003 
00004 #include "rand.h"
00005 
00006 unsigned long IBM;
00007 long cur_rand;
00008 unsigned long rand_history[1280];
00009 
00010 
00011 void sgenrand(unsigned long seed);      
00012 double genrand();
00013 
00014 
00015 void my_srand(long seed) {
00016   int i;
00017   srand(seed);
00018   IBM = seed;
00019   for (i = 0; i < 1280; i++) {
00020     rand_history[i] = rand() * rand();
00021   }
00022   sgenrand(seed);
00023   cur_rand = 0; 
00024 }
00025 
00026 //this is the IBM random number generator reimplmented in C, as I under stand it
00027 double my_rand1(void) {
00028   IBM = IBM * 65549;
00029 //don't need the addition step because am using unsigned integers
00030 //      if (IBM < 0) {
00031 //              IBM = IBM + 2147483647 + 1;
00032 //      }
00033 //2.3e-10 is 1/2^32
00034   return  2.328306436538696e-10 * (double)IBM;
00035 }
00036 
00037 //my tausworth random number generator
00038 double my_rand2(void) {
00039   cur_rand--;
00040   if (cur_rand < 0)
00041     cur_rand += 1280;
00042   rand_history[cur_rand] = rand_history[ (cur_rand + 1279) % 1280 ] ^ rand_history[ (cur_rand + 418) % 1280] ;
00043   //  return 2.328306436538696e-10 * (double)rand_history[cur_rand];
00044   return (double)rand_history[cur_rand] / 4294967295.0;
00045 }
00046 
00047 
00048 double my_rand3(void) {
00049   return genrand();
00050 }
00051 
00052 double my_rand4(void) {
00053   return (double)rand() / RAND_MAX;
00054 }
00055 
00056 
00057 
00058 
00059 //GPL code for the MT19937 random number generator
00060 //this can be removed if open source code is not allowed in
00061 //the HW
00062 
00063 /* A C-program for MT19937: Real number version([0,1)-interval) */
00064 /* (1999/10/28)                                                 */
00065 /*   genrand() generates one pseudorandom real number (double)  */
00066 /* which is uniformly distributed on [0,1)-interval, for each   */
00067 /* call. sgenrand(seed) sets initial values to the working area */
00068 /* of 624 words. Before genrand(), sgenrand(seed) must be       */
00069 /* called once. (seed is any 32-bit integer.)                   */
00070 /* Integer generator is obtained by modifying two lines.        */
00071 /*   Coded by Takuji Nishimura, considering the suggestions by  */
00072 /* Topher Cooper and Marc Rieffel in July-Aug. 1997.            */
00073 
00074 /* This library is free software; you can redistribute it and/or   */
00075 /* modify it under the terms of the GNU Library General Public     */
00076 /* License as published by the Free Software Foundation; either    */
00077 /* version 2 of the License, or (at your option) any later         */
00078 /* version.                                                        */
00079 /* This library is distributed in the hope that it will be useful, */
00080 /* but WITHOUT ANY WARRANTY; without even the implied warranty of  */
00081 /* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.            */
00082 /* See the GNU Library General Public License for more details.    */
00083 /* You should have received a copy of the GNU Library General      */
00084 /* Public License along with this library; if not, write to the    */
00085 /* Free Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA   */ 
00086 /* 02111-1307  USA                                                 */
00087 
00088 /* Copyright (C) 1997, 1999 Makoto Matsumoto and Takuji Nishimura. */
00089 /* Any feedback is very welcome. For any question, comments,       */
00090 /* see http://www.math.keio.ac.jp/matumoto/emt.html or email       */
00091 /* matumoto@math.keio.ac.jp                                        */
00092 
00093 /* REFERENCE                                                       */
00094 /* M. Matsumoto and T. Nishimura,                                  */
00095 /* "Mersenne Twister: A 623-Dimensionally Equidistributed Uniform  */
00096 /* Pseudo-Random Number Generator",                                */
00097 /* ACM Transactions on Modeling and Computer Simulation,           */
00098 /* Vol. 8, No. 1, January 1998, pp 3--30.                          */
00099 
00100 #include<stdio.h>
00101 
00102 /* Period parameters */  
00103 #define N 624
00104 #define M 397
00105 #define MATRIX_A 0x9908b0df   /* constant vector a */
00106 #define UPPER_MASK 0x80000000 /* most significant w-r bits */
00107 #define LOWER_MASK 0x7fffffff /* least significant r bits */
00108 
00109 /* Tempering parameters */   
00110 #define TEMPERING_MASK_B 0x9d2c5680
00111 #define TEMPERING_MASK_C 0xefc60000
00112 #define TEMPERING_SHIFT_U(y)  (y >> 11)
00113 #define TEMPERING_SHIFT_S(y)  (y << 7)
00114 #define TEMPERING_SHIFT_T(y)  (y << 15)
00115 #define TEMPERING_SHIFT_L(y)  (y >> 18)
00116 
00117 static unsigned long mt[N]; /* the array for the state vector  */
00118 static int mti=N+1; /* mti==N+1 means mt[N] is not initialized */
00119 
00120 /* Initializing the array with a seed */
00121 void
00122 sgenrand(unsigned long seed) {
00123     int i;
00124 
00125     for (i=0;i<N;i++) {
00126          mt[i] = seed & 0xffff0000;
00127          seed = 69069 * seed + 1;
00128          mt[i] |= (seed & 0xffff0000) >> 16;
00129          seed = 69069 * seed + 1;
00130     }
00131     mti = N;
00132 }
00133 
00134 /* Initialization by "sgenrand()" is an example. Theoretically,      */
00135 /* there are 2^19937-1 possible states as an intial state.           */
00136 /* This function allows to choose any of 2^19937-1 ones.             */
00137 /* Essential bits in "seed_array[]" is following 19937 bits:         */
00138 /*  (seed_array[0]&UPPER_MASK), seed_array[1], ..., seed_array[N-1]. */
00139 /* (seed_array[0]&LOWER_MASK) is discarded.                          */ 
00140 /* Theoretically,                                                    */
00141 /*  (seed_array[0]&UPPER_MASK), seed_array[1], ..., seed_array[N-1]  */
00142 /* can take any values except all zeros.                             */
00143 void
00144 lsgenrand(unsigned long seed_array[])
00145 
00146     /* the length of seed_array[] must be at least N */
00147 {
00148     int i;
00149 
00150     for (i=0;i<N;i++) 
00151       mt[i] = seed_array[i];
00152     mti=N;
00153 }
00154 
00155 double /* generating reals */
00156 /* unsigned long */ /* for integer generation */
00157 genrand()
00158 {
00159     unsigned long y;
00160     static unsigned long mag01[2]={0x0, MATRIX_A};
00161     /* mag01[x] = x * MATRIX_A  for x=0,1 */
00162 
00163     if (mti >= N) { /* generate N words at one time */
00164         int kk;
00165 
00166         if (mti == N+1)   /* if sgenrand() has not been called, */
00167             sgenrand(4357); /* a default initial seed is used   */
00168 
00169         for (kk=0;kk<N-M;kk++) {
00170             y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
00171             mt[kk] = mt[kk+M] ^ (y >> 1) ^ mag01[y & 0x1];
00172         }
00173         for (;kk<N-1;kk++) {
00174             y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
00175             mt[kk] = mt[kk+(M-N)] ^ (y >> 1) ^ mag01[y & 0x1];
00176         }
00177         y = (mt[N-1]&UPPER_MASK)|(mt[0]&LOWER_MASK);
00178         mt[N-1] = mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1];
00179 
00180         mti = 0;
00181     }
00182   
00183     y = mt[mti++];
00184     y ^= TEMPERING_SHIFT_U(y);
00185     y ^= TEMPERING_SHIFT_S(y) & TEMPERING_MASK_B;
00186     y ^= TEMPERING_SHIFT_T(y) & TEMPERING_MASK_C;
00187     y ^= TEMPERING_SHIFT_L(y);
00188 
00189     return ( (double)y * 2.3283064365386963e-10 ); /* reals: [0,1)-interval */
00190     /* return y; */ /* for integer generation */
00191 }

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