[13] | 1 | /**CFile*********************************************************************** |
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| 2 | |
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| 3 | FileName [random.c] |
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| 4 | |
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| 5 | PackageName [util] |
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| 6 | |
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| 7 | Synopsis [Our own portable random number generator.] |
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| 8 | |
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| 9 | Author [Fabio Somenzi <Fabio@Colorado.EDU>] |
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| 10 | |
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| 11 | Copyright [Copyright (c) 1994-1996 The Regents of the Univ. of California. |
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| 12 | All rights reserved. |
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| 13 | |
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| 14 | Permission is hereby granted, without written agreement and without license |
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| 15 | or royalty fees, to use, copy, modify, and distribute this software and its |
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| 16 | documentation for any purpose, provided that the above copyright notice and |
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| 17 | the following two paragraphs appear in all copies of this software. |
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| 18 | |
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| 19 | IN NO EVENT SHALL THE UNIVERSITY OF CALIFORNIA BE LIABLE TO ANY PARTY FOR |
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| 20 | DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES ARISING OUT |
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| 21 | OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION, EVEN IF THE UNIVERSITY OF |
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| 22 | CALIFORNIA HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
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| 23 | |
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| 24 | THE UNIVERSITY OF CALIFORNIA SPECIFICALLY DISCLAIMS ANY WARRANTIES, |
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| 25 | INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND |
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| 26 | FITNESS FOR A PARTICULAR PURPOSE. THE SOFTWARE PROVIDED HEREUNDER IS ON AN |
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| 27 | \"AS IS\" BASIS, AND THE UNIVERSITY OF CALIFORNIA HAS NO OBLIGATION TO PROVIDE |
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| 28 | MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.] |
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| 29 | |
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| 30 | ******************************************************************************/ |
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| 31 | |
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| 32 | #include "util.h" |
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| 33 | |
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| 34 | static char rcsid[] UNUSED = "$Id: random.c,v 1.4 2002/09/10 00:05:33 fabio Exp $"; |
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| 35 | |
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| 36 | /*---------------------------------------------------------------------------*/ |
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| 37 | /* Constant declarations */ |
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| 38 | /*---------------------------------------------------------------------------*/ |
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| 39 | |
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| 40 | /* Random generator constants. */ |
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| 41 | #define MODULUS1 2147483563 |
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| 42 | #define LEQA1 40014 |
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| 43 | #define LEQQ1 53668 |
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| 44 | #define LEQR1 12211 |
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| 45 | #define MODULUS2 2147483399 |
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| 46 | #define LEQA2 40692 |
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| 47 | #define LEQQ2 52774 |
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| 48 | #define LEQR2 3791 |
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| 49 | #define STAB_SIZE 64 |
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| 50 | #define STAB_DIV (1 + (MODULUS1 - 1) / STAB_SIZE) |
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| 51 | |
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| 52 | /*---------------------------------------------------------------------------*/ |
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| 53 | /* Type declarations */ |
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| 54 | /*---------------------------------------------------------------------------*/ |
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| 55 | |
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| 56 | |
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| 57 | /*---------------------------------------------------------------------------*/ |
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| 58 | /* Structure declarations */ |
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| 59 | /*---------------------------------------------------------------------------*/ |
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| 60 | |
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| 61 | |
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| 62 | /*---------------------------------------------------------------------------*/ |
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| 63 | /* Variable declarations */ |
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| 64 | /*---------------------------------------------------------------------------*/ |
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| 65 | static long utilRand = 0; |
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| 66 | static long utilRand2; |
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| 67 | static long shuffleSelect; |
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| 68 | static long shuffleTable[STAB_SIZE]; |
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| 69 | |
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| 70 | /*---------------------------------------------------------------------------*/ |
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| 71 | /* Macro declarations */ |
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| 72 | /*---------------------------------------------------------------------------*/ |
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| 73 | |
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| 74 | |
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| 75 | /**AutomaticStart*************************************************************/ |
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| 76 | |
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| 77 | /*---------------------------------------------------------------------------*/ |
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| 78 | /* Static function prototypes */ |
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| 79 | /*---------------------------------------------------------------------------*/ |
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| 80 | |
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| 81 | /**AutomaticEnd***************************************************************/ |
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| 82 | |
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| 83 | |
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| 84 | /*---------------------------------------------------------------------------*/ |
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| 85 | /* Definition of exported functions */ |
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| 86 | /*---------------------------------------------------------------------------*/ |
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| 87 | |
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| 88 | |
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| 89 | /**Function******************************************************************** |
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| 90 | |
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| 91 | Synopsis [Initializer for the portable random number generator.] |
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| 92 | |
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| 93 | Description [Initializer for the portable number generator based on |
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| 94 | ran2 in "Numerical Recipes in C." The input is the seed for the |
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| 95 | generator. If it is negative, its absolute value is taken as seed. |
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| 96 | If it is 0, then 1 is taken as seed. The initialized sets up the two |
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| 97 | recurrences used to generate a long-period stream, and sets up the |
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| 98 | shuffle table.] |
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| 99 | |
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| 100 | SideEffects [None] |
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| 101 | |
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| 102 | SeeAlso [util_random] |
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| 103 | |
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| 104 | ******************************************************************************/ |
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| 105 | void |
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| 106 | util_srandom(long seed) |
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| 107 | { |
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| 108 | int i; |
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| 109 | |
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| 110 | if (seed < 0) utilRand = -seed; |
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| 111 | else if (seed == 0) utilRand = 1; |
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| 112 | else utilRand = seed; |
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| 113 | utilRand2 = utilRand; |
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| 114 | /* Load the shuffle table (after 11 warm-ups). */ |
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| 115 | for (i = 0; i < STAB_SIZE + 11; i++) { |
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| 116 | long int w; |
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| 117 | w = utilRand / LEQQ1; |
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| 118 | utilRand = LEQA1 * (utilRand - w * LEQQ1) - w * LEQR1; |
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| 119 | utilRand += (utilRand < 0) * MODULUS1; |
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| 120 | shuffleTable[i % STAB_SIZE] = utilRand; |
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| 121 | } |
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| 122 | shuffleSelect = shuffleTable[1 % STAB_SIZE]; |
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| 123 | } /* end of util_srandom */ |
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| 124 | |
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| 125 | /**Function******************************************************************** |
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| 126 | |
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| 127 | Synopsis [Portable random number generator.] |
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| 128 | |
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| 129 | Description [Portable number generator based on ran2 from "Numerical |
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| 130 | Recipes in C." It is a long period (> 2 * 10^18) random number generator |
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| 131 | of L'Ecuyer with Bays-Durham shuffle. Returns a long integer uniformly |
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| 132 | distributed between 0 and 2147483561 (inclusive of the endpoint values). |
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| 133 | The random generator can be explicitly initialized by calling |
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| 134 | util_srandom. If no explicit initialization is performed, then the |
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| 135 | seed 1 is assumed.] |
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| 136 | |
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| 137 | SideEffects [] |
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| 138 | |
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| 139 | SeeAlso [util_srandom] |
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| 140 | |
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| 141 | ******************************************************************************/ |
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| 142 | long |
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| 143 | util_random(void) |
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| 144 | { |
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| 145 | int i; /* index in the shuffle table */ |
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| 146 | long int w; /* work variable */ |
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| 147 | |
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| 148 | /* utilRand == 0 if the geneartor has not been initialized yet. */ |
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| 149 | if (utilRand == 0) util_srandom(1); |
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| 150 | |
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| 151 | /* Compute utilRand = (utilRand * LEQA1) % MODULUS1 avoiding |
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| 152 | ** overflows by Schrage's method. |
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| 153 | */ |
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| 154 | w = utilRand / LEQQ1; |
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| 155 | utilRand = LEQA1 * (utilRand - w * LEQQ1) - w * LEQR1; |
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| 156 | utilRand += (utilRand < 0) * MODULUS1; |
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| 157 | |
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| 158 | /* Compute utilRand2 = (utilRand2 * LEQA2) % MODULUS2 avoiding |
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| 159 | ** overflows by Schrage's method. |
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| 160 | */ |
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| 161 | w = utilRand2 / LEQQ2; |
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| 162 | utilRand2 = LEQA2 * (utilRand2 - w * LEQQ2) - w * LEQR2; |
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| 163 | utilRand2 += (utilRand2 < 0) * MODULUS2; |
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| 164 | |
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| 165 | /* utilRand is shuffled with the Bays-Durham algorithm. |
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| 166 | ** shuffleSelect and utilRand2 are combined to generate the output. |
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| 167 | */ |
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| 168 | |
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| 169 | /* Pick one element from the shuffle table; "i" will be in the range |
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| 170 | ** from 0 to STAB_SIZE-1. |
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| 171 | */ |
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| 172 | i = shuffleSelect / STAB_DIV; |
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| 173 | /* Mix the element of the shuffle table with the current iterate of |
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| 174 | ** the second sub-generator, and replace the chosen element of the |
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| 175 | ** shuffle table with the current iterate of the first sub-generator. |
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| 176 | */ |
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| 177 | shuffleSelect = shuffleTable[i] - utilRand2; |
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| 178 | shuffleTable[i] = utilRand; |
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| 179 | shuffleSelect += (shuffleSelect < 1) * (MODULUS1 - 1); |
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| 180 | /* Since shuffleSelect != 0, and we want to be able to return 0, |
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| 181 | ** here we subtract 1 before returning. |
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| 182 | */ |
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| 183 | return(shuffleSelect - 1); |
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| 184 | |
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| 185 | } /* end of util_random */ |
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| 186 | |
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| 187 | |
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| 188 | /*---------------------------------------------------------------------------*/ |
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| 189 | /* Definition of internal functions */ |
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| 190 | /*---------------------------------------------------------------------------*/ |
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| 191 | |
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| 192 | |
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| 193 | /*---------------------------------------------------------------------------*/ |
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| 194 | /* Definition of static functions */ |
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| 195 | /*---------------------------------------------------------------------------*/ |
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| 196 | |
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| 197 | |
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| 198 | |
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