1 |
1325 |
phoenix |
/*
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2 |
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* Copyright (c) 1983 Regents of the University of California.
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms are permitted
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* provided that the above copyright notice and this paragraph are
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* duplicated in all such forms and that any documentation,
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* advertising materials, and other materials related to such
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* distribution and use acknowledge that the software was developed
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* by the University of California, Berkeley. The name of the
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* University may not be used to endorse or promote products derived
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* from this software without specific prior written permission.
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* THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY EXPRESS OR
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* IMPLIED WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED
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* WARRANTIES OF MERCHANTIBILITY AND FITNESS FOR A PARTICULAR PURPOSE.
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*/
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18 |
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/*
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* This is derived from the Berkeley source:
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* @(#)random.c 5.5 (Berkeley) 7/6/88
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* It was reworked for the GNU C Library by Roland McGrath.
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* Rewritten to be reentrant by Ulrich Drepper, 1995
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*/
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#define _GNU_SOURCE
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#include <features.h>
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#include <errno.h>
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28 |
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#include <limits.h>
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29 |
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#include <stddef.h>
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#include <stdlib.h>
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32 |
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33 |
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/* An improved random number generation package. In addition to the standard
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35 |
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rand()/srand() like interface, this package also has a special state info
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36 |
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interface. The initstate() routine is called with a seed, an array of
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37 |
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bytes, and a count of how many bytes are being passed in; this array is
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then initialized to contain information for random number generation with
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39 |
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that much state information. Good sizes for the amount of state
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information are 32, 64, 128, and 256 bytes. The state can be switched by
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calling the setstate() function with the same array as was initialized
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with initstate(). By default, the package runs with 128 bytes of state
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information and generates far better random numbers than a linear
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congruential generator. If the amount of state information is less than
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32 bytes, a simple linear congruential R.N.G. is used. Internally, the
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46 |
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state information is treated as an array of longs; the zeroth element of
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the array is the type of R.N.G. being used (small integer); the remainder
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48 |
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of the array is the state information for the R.N.G. Thus, 32 bytes of
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49 |
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state information will give 7 longs worth of state information, which will
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allow a degree seven polynomial. (Note: The zeroth word of state
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51 |
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information also has some other information stored in it; see setstate
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52 |
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for details). The random number generation technique is a linear feedback
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53 |
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shift register approach, employing trinomials (since there are fewer terms
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to sum up that way). In this approach, the least significant bit of all
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55 |
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the numbers in the state table will act as a linear feedback shift register,
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and will have period 2^deg - 1 (where deg is the degree of the polynomial
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being used, assuming that the polynomial is irreducible and primitive).
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58 |
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The higher order bits will have longer periods, since their values are
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also influenced by pseudo-random carries out of the lower bits. The
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60 |
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total period of the generator is approximately deg*(2**deg - 1); thus
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61 |
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doubling the amount of state information has a vast influence on the
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period of the generator. Note: The deg*(2**deg - 1) is an approximation
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63 |
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only good for large deg, when the period of the shift register is the
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64 |
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dominant factor. With deg equal to seven, the period is actually much
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65 |
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longer than the 7*(2**7 - 1) predicted by this formula. */
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66 |
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68 |
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/* For each of the currently supported random number generators, we have a
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break value on the amount of state information (you need at least this many
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bytes of state info to support this random number generator), a degree for
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the polynomial (actually a trinomial) that the R.N.G. is based on, and
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73 |
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separation between the two lower order coefficients of the trinomial. */
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74 |
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75 |
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/* Linear congruential. */
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76 |
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#define TYPE_0 0
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77 |
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#define BREAK_0 8
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78 |
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#define DEG_0 0
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79 |
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#define SEP_0 0
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80 |
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81 |
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/* x**7 + x**3 + 1. */
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82 |
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#define TYPE_1 1
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83 |
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#define BREAK_1 32
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84 |
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#define DEG_1 7
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85 |
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#define SEP_1 3
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86 |
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87 |
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/* x**15 + x + 1. */
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88 |
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#define TYPE_2 2
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89 |
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#define BREAK_2 64
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90 |
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#define DEG_2 15
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91 |
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#define SEP_2 1
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92 |
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93 |
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/* x**31 + x**3 + 1. */
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94 |
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#define TYPE_3 3
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95 |
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#define BREAK_3 128
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96 |
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#define DEG_3 31
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97 |
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#define SEP_3 3
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98 |
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99 |
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/* x**63 + x + 1. */
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100 |
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#define TYPE_4 4
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101 |
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#define BREAK_4 256
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102 |
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#define DEG_4 63
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103 |
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#define SEP_4 1
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104 |
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105 |
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106 |
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/* Array versions of the above information to make code run faster.
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Relies on fact that TYPE_i == i. */
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108 |
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109 |
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#define MAX_TYPES 5 /* Max number of types above. */
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110 |
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111 |
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struct random_poly_info
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112 |
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{
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113 |
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int seps[MAX_TYPES];
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114 |
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int degrees[MAX_TYPES];
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115 |
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};
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116 |
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static const struct random_poly_info random_poly_info =
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118 |
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{
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{ SEP_0, SEP_1, SEP_2, SEP_3, SEP_4 },
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{ DEG_0, DEG_1, DEG_2, DEG_3, DEG_4 }
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};
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/* Initialize the random number generator based on the given seed. If the
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type is the trivial no-state-information type, just remember the seed.
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Otherwise, initializes state[] based on the given "seed" via a linear
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congruential generator. Then, the pointers are set to known locations
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that are exactly rand_sep places apart. Lastly, it cycles the state
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information a given number of times to get rid of any initial dependencies
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introduced by the L.C.R.N.G. Note that the initialization of randtbl[]
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133 |
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for default usage relies on values produced by this routine. */
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int srandom_r (unsigned int seed, struct random_data *buf)
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{
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136 |
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int type;
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int32_t *state;
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138 |
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long int i;
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139 |
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long int word;
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140 |
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int32_t *dst;
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int kc;
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if (buf == NULL)
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goto fail;
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145 |
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type = buf->rand_type;
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if ((unsigned int) type >= MAX_TYPES)
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goto fail;
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148 |
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149 |
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state = buf->state;
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/* We must make sure the seed is not 0. Take arbitrarily 1 in this case. */
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if (seed == 0)
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seed = 1;
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state[0] = seed;
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if (type == TYPE_0)
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goto done;
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156 |
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dst = state;
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word = seed;
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kc = buf->rand_deg;
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for (i = 1; i < kc; ++i)
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{
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/* This does:
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state[i] = (16807 * state[i - 1]) % 2147483647;
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but avoids overflowing 31 bits. */
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long int hi = word / 127773;
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long int lo = word % 127773;
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word = 16807 * lo - 2836 * hi;
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if (word < 0)
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word += 2147483647;
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*++dst = word;
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}
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buf->fptr = &state[buf->rand_sep];
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buf->rptr = &state[0];
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kc *= 10;
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while (--kc >= 0)
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{
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178 |
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int32_t discard;
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(void) random_r (buf, &discard);
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}
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done:
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return 0;
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fail:
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186 |
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return -1;
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187 |
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}
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188 |
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189 |
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/* Initialize the state information in the given array of N bytes for
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190 |
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future random number generation. Based on the number of bytes we
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are given, and the break values for the different R.N.G.'s, we choose
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192 |
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the best (largest) one we can and set things up for it. srandom is
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then called to initialize the state information. Note that on return
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194 |
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from srandom, we set state[-1] to be the type multiplexed with the current
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195 |
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value of the rear pointer; this is so successive calls to initstate won't
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196 |
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lose this information and will be able to restart with setstate.
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197 |
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Note: The first thing we do is save the current state, if any, just like
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198 |
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setstate so that it doesn't matter when initstate is called.
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199 |
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Returns a pointer to the old state. */
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200 |
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int initstate_r (seed, arg_state, n, buf)
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201 |
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unsigned int seed;
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202 |
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char *arg_state;
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203 |
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size_t n;
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204 |
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struct random_data *buf;
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205 |
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{
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206 |
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int type;
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207 |
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int degree;
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208 |
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int separation;
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209 |
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int32_t *state;
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210 |
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|
211 |
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if (buf == NULL)
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212 |
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goto fail;
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213 |
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|
214 |
|
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if (n >= BREAK_3)
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215 |
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type = n < BREAK_4 ? TYPE_3 : TYPE_4;
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216 |
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else if (n < BREAK_1)
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217 |
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{
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218 |
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if (n < BREAK_0)
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219 |
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{
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220 |
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__set_errno (EINVAL);
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221 |
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goto fail;
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222 |
|
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}
|
223 |
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type = TYPE_0;
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224 |
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}
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225 |
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else
|
226 |
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type = n < BREAK_2 ? TYPE_1 : TYPE_2;
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227 |
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|
228 |
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degree = random_poly_info.degrees[type];
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229 |
|
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separation = random_poly_info.seps[type];
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230 |
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|
231 |
|
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buf->rand_type = type;
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232 |
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buf->rand_sep = separation;
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233 |
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buf->rand_deg = degree;
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234 |
|
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state = &((int32_t *) arg_state)[1]; /* First location. */
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235 |
|
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/* Must set END_PTR before srandom. */
|
236 |
|
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buf->end_ptr = &state[degree];
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237 |
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|
238 |
|
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buf->state = state;
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239 |
|
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|
240 |
|
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srandom_r (seed, buf);
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241 |
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|
242 |
|
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state[-1] = TYPE_0;
|
243 |
|
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if (type != TYPE_0)
|
244 |
|
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state[-1] = (buf->rptr - state) * MAX_TYPES + type;
|
245 |
|
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|
246 |
|
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return 0;
|
247 |
|
|
|
248 |
|
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fail:
|
249 |
|
|
__set_errno (EINVAL);
|
250 |
|
|
return -1;
|
251 |
|
|
}
|
252 |
|
|
|
253 |
|
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/* Restore the state from the given state array.
|
254 |
|
|
Note: It is important that we also remember the locations of the pointers
|
255 |
|
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in the current state information, and restore the locations of the pointers
|
256 |
|
|
from the old state information. This is done by multiplexing the pointer
|
257 |
|
|
location into the zeroth word of the state information. Note that due
|
258 |
|
|
to the order in which things are done, it is OK to call setstate with the
|
259 |
|
|
same state as the current state
|
260 |
|
|
Returns a pointer to the old state information. */
|
261 |
|
|
int setstate_r (char *arg_state, struct random_data *buf)
|
262 |
|
|
{
|
263 |
|
|
int32_t *new_state = 1 + (int32_t *) arg_state;
|
264 |
|
|
int type;
|
265 |
|
|
int old_type;
|
266 |
|
|
int32_t *old_state;
|
267 |
|
|
int degree;
|
268 |
|
|
int separation;
|
269 |
|
|
|
270 |
|
|
if (arg_state == NULL || buf == NULL)
|
271 |
|
|
goto fail;
|
272 |
|
|
|
273 |
|
|
old_type = buf->rand_type;
|
274 |
|
|
old_state = buf->state;
|
275 |
|
|
if (old_type == TYPE_0)
|
276 |
|
|
old_state[-1] = TYPE_0;
|
277 |
|
|
else
|
278 |
|
|
old_state[-1] = (MAX_TYPES * (buf->rptr - old_state)) + old_type;
|
279 |
|
|
|
280 |
|
|
type = new_state[-1] % MAX_TYPES;
|
281 |
|
|
if (type < TYPE_0 || type > TYPE_4)
|
282 |
|
|
goto fail;
|
283 |
|
|
|
284 |
|
|
buf->rand_deg = degree = random_poly_info.degrees[type];
|
285 |
|
|
buf->rand_sep = separation = random_poly_info.seps[type];
|
286 |
|
|
buf->rand_type = type;
|
287 |
|
|
|
288 |
|
|
if (type != TYPE_0)
|
289 |
|
|
{
|
290 |
|
|
int rear = new_state[-1] / MAX_TYPES;
|
291 |
|
|
buf->rptr = &new_state[rear];
|
292 |
|
|
buf->fptr = &new_state[(rear + separation) % degree];
|
293 |
|
|
}
|
294 |
|
|
buf->state = new_state;
|
295 |
|
|
/* Set end_ptr too. */
|
296 |
|
|
buf->end_ptr = &new_state[degree];
|
297 |
|
|
|
298 |
|
|
return 0;
|
299 |
|
|
|
300 |
|
|
fail:
|
301 |
|
|
__set_errno (EINVAL);
|
302 |
|
|
return -1;
|
303 |
|
|
}
|
304 |
|
|
|
305 |
|
|
/* If we are using the trivial TYPE_0 R.N.G., just do the old linear
|
306 |
|
|
congruential bit. Otherwise, we do our fancy trinomial stuff, which is the
|
307 |
|
|
same in all the other cases due to all the global variables that have been
|
308 |
|
|
set up. The basic operation is to add the number at the rear pointer into
|
309 |
|
|
the one at the front pointer. Then both pointers are advanced to the next
|
310 |
|
|
location cyclically in the table. The value returned is the sum generated,
|
311 |
|
|
reduced to 31 bits by throwing away the "least random" low bit.
|
312 |
|
|
Note: The code takes advantage of the fact that both the front and
|
313 |
|
|
rear pointers can't wrap on the same call by not testing the rear
|
314 |
|
|
pointer if the front one has wrapped. Returns a 31-bit random number. */
|
315 |
|
|
|
316 |
|
|
int random_r (buf, result)
|
317 |
|
|
struct random_data *buf;
|
318 |
|
|
int32_t *result;
|
319 |
|
|
{
|
320 |
|
|
int32_t *state;
|
321 |
|
|
|
322 |
|
|
if (buf == NULL || result == NULL)
|
323 |
|
|
goto fail;
|
324 |
|
|
|
325 |
|
|
state = buf->state;
|
326 |
|
|
|
327 |
|
|
if (buf->rand_type == TYPE_0)
|
328 |
|
|
{
|
329 |
|
|
int32_t val = state[0];
|
330 |
|
|
val = ((state[0] * 1103515245) + 12345) & 0x7fffffff;
|
331 |
|
|
state[0] = val;
|
332 |
|
|
*result = val;
|
333 |
|
|
}
|
334 |
|
|
else
|
335 |
|
|
{
|
336 |
|
|
int32_t *fptr = buf->fptr;
|
337 |
|
|
int32_t *rptr = buf->rptr;
|
338 |
|
|
int32_t *end_ptr = buf->end_ptr;
|
339 |
|
|
int32_t val;
|
340 |
|
|
|
341 |
|
|
val = *fptr += *rptr;
|
342 |
|
|
/* Chucking least random bit. */
|
343 |
|
|
*result = (val >> 1) & 0x7fffffff;
|
344 |
|
|
++fptr;
|
345 |
|
|
if (fptr >= end_ptr)
|
346 |
|
|
{
|
347 |
|
|
fptr = state;
|
348 |
|
|
++rptr;
|
349 |
|
|
}
|
350 |
|
|
else
|
351 |
|
|
{
|
352 |
|
|
++rptr;
|
353 |
|
|
if (rptr >= end_ptr)
|
354 |
|
|
rptr = state;
|
355 |
|
|
}
|
356 |
|
|
buf->fptr = fptr;
|
357 |
|
|
buf->rptr = rptr;
|
358 |
|
|
}
|
359 |
|
|
return 0;
|
360 |
|
|
|
361 |
|
|
fail:
|
362 |
|
|
__set_errno (EINVAL);
|
363 |
|
|
return -1;
|
364 |
|
|
}
|
365 |
|
|
|