src/lib/w32/random.c

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00001 /*
00002  * Ported from GNU libc to Windows by Ron Koenderink, 2007
00003  */
00004 
00005 /* Copyright (C) 1995 Free Software Foundation
00006 
00007    The GNU C Library is free software; you can redistribute it and/or
00008    modify it under the terms of the GNU Lesser General Public
00009    License as published by the Free Software Foundation; either
00010    version 2.1 of the License, or (at your option) any later version.
00011 
00012    The GNU C Library is distributed in the hope that it will be useful,
00013    but WITHOUT ANY WARRANTY; without even the implied warranty of
00014    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00015    Lesser General Public License for more details.
00016 
00017    You should have received a copy of the GNU Lesser General Public
00018    License along with the GNU C Library; if not, write to the Free
00019    Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
00020    02111-1307 USA.  */
00021 
00022 /*
00023  * This is derived from the Berkeley source:
00024  *      @(#)random.c    5.5 (Berkeley) 7/6/88
00025  * It was reworked for the GNU C Library by Roland McGrath.
00026  * Rewritten to use reentrant functions by Ulrich Drepper, 1995.
00027  */
00028 
00029 /*
00030    Copyright (C) 1983 Regents of the University of California.
00031    All rights reserved.
00032  
00033    Redistribution and use in source and binary forms, with or without
00034    modification, are permitted provided that the following conditions
00035    are met:
00036 
00037    1. Redistributions of source code must retain the above copyright
00038       notice, this list of conditions and the following disclaimer.
00039    2. Redistributions in binary form must reproduce the above copyright
00040       notice, this list of conditions and the following disclaimer in the
00041       documentation and/or other materials provided with the distribution.
00042    4. Neither the name of the University nor the names of its contributors
00043       may be used to endorse or promote products derived from this software
00044       without specific prior written permission.
00045    
00046    THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
00047    ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
00048    IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
00049    ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
00050    FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
00051    DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
00052    OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
00053    HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
00054    LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
00055    OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
00056    SUCH DAMAGE.*/
00057 
00058 /*
00059  * Not available for empire use random.h
00060  *
00061 #include <bits/libc-lock.h>
00062 #include <limits.h>
00063 #include <stddef.h>
00064 #include <stdlib.h>
00065  */
00066 #include "random.h"
00067 #include "w32misc.h"
00068 
00069 
00070 /* An improved random number generation package.  In addition to the standard
00071    rand()/srand() like interface, this package also has a special state info
00072    interface.  The initstate() routine is called with a seed, an array of
00073    bytes, and a count of how many bytes are being passed in; this array is
00074    then initialized to contain information for random number generation with
00075    that much state information.  Good sizes for the amount of state
00076    information are 32, 64, 128, and 256 bytes.  The state can be switched by
00077    calling the setstate() function with the same array as was initialized
00078    with initstate().  By default, the package runs with 128 bytes of state
00079    information and generates far better random numbers than a linear
00080    congruential generator.  If the amount of state information is less than
00081    32 bytes, a simple linear congruential R.N.G. is used.  Internally, the
00082    state information is treated as an array of longs; the zeroth element of
00083    the array is the type of R.N.G. being used (small integer); the remainder
00084    of the array is the state information for the R.N.G.  Thus, 32 bytes of
00085    state information will give 7 longs worth of state information, which will
00086    allow a degree seven polynomial.  (Note: The zeroth word of state
00087    information also has some other information stored in it; see setstate
00088    for details).  The random number generation technique is a linear feedback
00089    shift register approach, employing trinomials (since there are fewer terms
00090    to sum up that way).  In this approach, the least significant bit of all
00091    the numbers in the state table will act as a linear feedback shift register,
00092    and will have period 2^deg - 1 (where deg is the degree of the polynomial
00093    being used, assuming that the polynomial is irreducible and primitive).
00094    The higher order bits will have longer periods, since their values are
00095    also influenced by pseudo-random carries out of the lower bits.  The
00096    total period of the generator is approximately deg*(2**deg - 1); thus
00097    doubling the amount of state information has a vast influence on the
00098    period of the generator.  Note: The deg*(2**deg - 1) is an approximation
00099    only good for large deg, when the period of the shift register is the
00100    dominant factor.  With deg equal to seven, the period is actually much
00101    longer than the 7*(2**7 - 1) predicted by this formula.  */
00102 
00103 
00104 
00105 /* For each of the currently supported random number generators, we have a
00106    break value on the amount of state information (you need at least this many
00107    bytes of state info to support this random number generator), a degree for
00108    the polynomial (actually a trinomial) that the R.N.G. is based on, and
00109    separation between the two lower order coefficients of the trinomial.  */
00110 
00111 /* Linear congruential.  */
00112 #define TYPE_0          0
00113 #define BREAK_0         8
00114 #define DEG_0           0
00115 #define SEP_0           0
00116 
00117 /* x**7 + x**3 + 1.  */
00118 #define TYPE_1          1
00119 #define BREAK_1         32
00120 #define DEG_1           7
00121 #define SEP_1           3
00122 
00123 /* x**15 + x + 1.  */
00124 #define TYPE_2          2
00125 #define BREAK_2         64
00126 #define DEG_2           15
00127 #define SEP_2           1
00128 
00129 /* x**31 + x**3 + 1.  */
00130 #define TYPE_3          3
00131 #define BREAK_3         128
00132 #define DEG_3           31
00133 #define SEP_3           3
00134 
00135 /* x**63 + x + 1.  */
00136 #define TYPE_4          4
00137 #define BREAK_4         256
00138 #define DEG_4           63
00139 #define SEP_4           1
00140 
00141 
00142 /* Array versions of the above information to make code run faster.
00143    Relies on fact that TYPE_i == i.  */
00144 
00145 #define MAX_TYPES       5       /* Max number of types above.  */
00146 
00147 
00148 /* Initially, everything is set up as if from:
00149         initstate(1, randtbl, 128);
00150    Note that this initialization takes advantage of the fact that srandom
00151    advances the front and rear pointers 10*rand_deg times, and hence the
00152    rear pointer which starts at 0 will also end up at zero; thus the zeroth
00153    element of the state information, which contains info about the current
00154    position of the rear pointer is just
00155         (MAX_TYPES * (rptr - state)) + TYPE_3 == TYPE_3.  */
00156 
00157 static int32_t randtbl[DEG_3 + 1] =
00158   {
00159     TYPE_3,
00160 
00161     -1726662223, 379960547, 1735697613, 1040273694, 1313901226,
00162     1627687941, -179304937, -2073333483, 1780058412, -1989503057,
00163     -615974602, 344556628, 939512070, -1249116260, 1507946756,
00164     -812545463, 154635395, 1388815473, -1926676823, 525320961,
00165     -1009028674, 968117788, -123449607, 1284210865, 435012392,
00166     -2017506339, -911064859, -370259173, 1132637927, 1398500161,
00167     -205601318,
00168   };
00169 
00170 
00171 static struct random_data unsafe_state =
00172   {
00173 /* FPTR and RPTR are two pointers into the state info, a front and a rear
00174    pointer.  These two pointers are always rand_sep places aparts, as they
00175    cycle through the state information.  (Yes, this does mean we could get
00176    away with just one pointer, but the code for random is more efficient
00177    this way).  The pointers are left positioned as they would be from the call:
00178         initstate(1, randtbl, 128);
00179    (The position of the rear pointer, rptr, is really 0 (as explained above
00180    in the initialization of randtbl) because the state table pointer is set
00181    to point to randtbl[1] (as explained below).)  */
00182 
00183 /*    .fptr =*/ &randtbl[SEP_3 + 1],
00184 /*    .rptr =*/ &randtbl[1],
00185 /* The following things are the pointer to the state information table,
00186    the type of the current generator, the degree of the current polynomial
00187    being used, and the separation between the two pointers.
00188    Note that for efficiency of random, we remember the first location of
00189    the state information, not the zeroth.  Hence it is valid to access
00190    state[-1], which is used to store the type of the R.N.G.
00191    Also, we remember the last location, since this is more efficient than
00192    indexing every time to find the address of the last element to see if
00193    the front and rear pointers have wrapped.  */
00194 
00195 /*    .state =*/ &randtbl[1],
00196 
00197 /*    .rand_type =*/ TYPE_3,
00198 /*    .rand_deg =*/ DEG_3,
00199 /*    .rand_sep =*/ SEP_3,
00200 
00201 /*    .end_ptr =*/ &randtbl[sizeof (randtbl) / sizeof (randtbl[0])]
00202 };
00203 
00204 /* POSIX.1c requires that there is mutual exclusion for the `rand' and
00205    `srand' functions to prevent concurrent calls from modifying common
00206    data.  */
00207 __libc_lock_define_initialized (static1, lock)
00208 
00209 /* Initialize the random number generator based on the given seed.  If the
00210    type is the trivial no-state-information type, just remember the seed.
00211    Otherwise, initializes state[] based on the given "seed" via a linear
00212    congruential generator.  Then, the pointers are set to known locations
00213    that are exactly rand_sep places apart.  Lastly, it cycles the state
00214    information a given number of times to get rid of any initial dependencies
00215    introduced by the L.C.R.N.G.  Note that the initialization of randtbl[]
00216    for default usage relies on values produced by this routine.  */
00217 void
00218 __srandom (x)
00219      unsigned int x;
00220 {
00221   __libc_lock_lock (lock);
00222   (void) __srandom_r (x, &unsafe_state);
00223   __libc_lock_unlock (lock);
00224 }
00225 
00226 weak_alias (__srandom, srandom)
00227 weak_alias (__srandom, srand)
00228 
00229 /* Initialize the state information in the given array of N bytes for
00230    future random number generation.  Based on the number of bytes we
00231    are given, and the break values for the different R.N.G.'s, we choose
00232    the best (largest) one we can and set things up for it.  srandom is
00233    then called to initialize the state information.  Note that on return
00234    from srandom, we set state[-1] to be the type multiplexed with the current
00235    value of the rear pointer; this is so successive calls to initstate won't
00236    lose this information and will be able to restart with setstate.
00237    Note: The first thing we do is save the current state, if any, just like
00238    setstate so that it doesn't matter when initstate is called.
00239    Returns a pointer to the old state.  */
00240 char *
00241 __initstate (seed, arg_state, n)
00242      unsigned int seed;
00243      char *arg_state;
00244      size_t n;
00245 {
00246   int32_t *ostate;
00247 
00248   __libc_lock_lock (lock);
00249 
00250   ostate = &unsafe_state.state[-1];
00251 
00252   __initstate_r (seed, arg_state, n, &unsafe_state);
00253 
00254   __libc_lock_unlock (lock);
00255 
00256   return (char *) ostate;
00257 }
00258 
00259 weak_alias (__initstate, initstate)
00260 
00261 /* Restore the state from the given state array.
00262    Note: It is important that we also remember the locations of the pointers
00263    in the current state information, and restore the locations of the pointers
00264    from the old state information.  This is done by multiplexing the pointer
00265    location into the zeroth word of the state information. Note that due
00266    to the order in which things are done, it is OK to call setstate with the
00267    same state as the current state
00268    Returns a pointer to the old state information.  */
00269 char *
00270 __setstate (arg_state)
00271      char *arg_state;
00272 {
00273   int32_t *ostate;
00274 
00275   __libc_lock_lock (lock);
00276 
00277   ostate = &unsafe_state.state[-1];
00278 
00279   if (__setstate_r (arg_state, &unsafe_state) < 0)
00280     ostate = NULL;
00281 
00282   __libc_lock_unlock (lock);
00283 
00284   return (char *) ostate;
00285 }
00286 
00287 weak_alias (__setstate, setstate)
00288 
00289 /* If we are using the trivial TYPE_0 R.N.G., just do the old linear
00290    congruential bit.  Otherwise, we do our fancy trinomial stuff, which is the
00291    same in all the other cases due to all the global variables that have been
00292    set up.  The basic operation is to add the number at the rear pointer into
00293    the one at the front pointer.  Then both pointers are advanced to the next
00294    location cyclically in the table.  The value returned is the sum generated,
00295    reduced to 31 bits by throwing away the "least random" low bit.
00296    Note: The code takes advantage of the fact that both the front and
00297    rear pointers can't wrap on the same call by not testing the rear
00298    pointer if the front one has wrapped.  Returns a 31-bit random number.  */
00299 
00300 long int
00301 __random ()
00302 {
00303   int32_t retval;
00304 
00305   __libc_lock_lock (lock);
00306 
00307   (void) __random_r (&unsafe_state, &retval);
00308 
00309   __libc_lock_unlock (lock);
00310 
00311   return retval;
00312 }
00313 
00314 weak_alias (__random, random)

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