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Diffstat (limited to 'tests/random.c')
| -rw-r--r-- | tests/random.c | 317 |
1 files changed, 317 insertions, 0 deletions
diff --git a/tests/random.c b/tests/random.c new file mode 100644 index 00000000..97ba1691 --- /dev/null +++ b/tests/random.c @@ -0,0 +1,317 @@ +/* Copyright (C) 1995-2024 Free Software Foundation, Inc. + + This file is free software: you can redistribute it and/or modify + it under the terms of the GNU Lesser General Public License as + published by the Free Software Foundation, either version 3 of the + License, or (at your option) any later version. + + This file is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public License + along with this program. If not, see <https://www.gnu.org/licenses/>. */ + +/* + * This is derived from the Berkeley source: + * @(#)random.c 5.5 (Berkeley) 7/6/88 + * It was reworked for the GNU C Library by Roland McGrath. + * Rewritten to use reentrant functions by Ulrich Drepper, 1995. + */ + +/* + Copyright (C) 1983 Regents of the University of California. + All rights reserved. + + Redistribution and use in source and binary forms, with or without + modification, are permitted provided that the following conditions + are met: + + 1. Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + 2. Redistributions in binary form must reproduce the above copyright + notice, this list of conditions and the following disclaimer in the + documentation and/or other materials provided with the distribution. + 4. Neither the name of the University nor the names of its contributors + may be used to endorse or promote products derived from this software + without specific prior written permission. + + THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS "AS IS" AND + ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE + FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + SUCH DAMAGE.*/ + +#ifndef _LIBC +# include <libc-config.h> +# define __srandom srandom +# define __initstate initstate +# define __setstate setstate +# define __random random +# define __srandom_r srandom_r +# define __initstate_r initstate_r +# define __setstate_r setstate_r +# define __random_r random_r +#endif + +/* Specification. */ +#include <stdlib.h> + +#ifdef _LIBC +# include <libc-lock.h> +#else +# include "glthread/lock.h" +# define __libc_lock_define_initialized gl_lock_define_initialized +# define __libc_lock_lock gl_lock_lock +# define __libc_lock_unlock gl_lock_unlock +#endif + +/* An improved random number generation package. In addition to the standard + rand()/srand() like interface, this package also has a special state info + interface. The initstate() routine is called with a seed, an array of + bytes, and a count of how many bytes are being passed in; this array is + then initialized to contain information for random number generation with + that much state information. Good sizes for the amount of state + information are 32, 64, 128, and 256 bytes. The state can be switched by + calling the setstate() function with the same array as was initialized + with initstate(). By default, the package runs with 128 bytes of state + information and generates far better random numbers than a linear + congruential generator. If the amount of state information is less than + 32 bytes, a simple linear congruential R.N.G. is used. Internally, the + state information is treated as an array of longs; the zeroth element of + the array is the type of R.N.G. being used (small integer); the remainder + of the array is the state information for the R.N.G. Thus, 32 bytes of + state information will give 7 longs worth of state information, which will + allow a degree seven polynomial. (Note: The zeroth word of state + information also has some other information stored in it; see setstate + for details). The random number generation technique is a linear feedback + shift register approach, employing trinomials (since there are fewer terms + to sum up that way). In this approach, the least significant bit of all + the numbers in the state table will act as a linear feedback shift register, + and will have period 2^deg - 1 (where deg is the degree of the polynomial + being used, assuming that the polynomial is irreducible and primitive). + The higher order bits will have longer periods, since their values are + also influenced by pseudo-random carries out of the lower bits. The + total period of the generator is approximately deg*(2**deg - 1); thus + doubling the amount of state information has a vast influence on the + period of the generator. Note: The deg*(2**deg - 1) is an approximation + only good for large deg, when the period of the shift register is the + dominant factor. With deg equal to seven, the period is actually much + longer than the 7*(2**7 - 1) predicted by this formula. */ + + + +/* For each of the currently supported random number generators, we have a + break value on the amount of state information (you need at least this many + bytes of state info to support this random number generator), a degree for + the polynomial (actually a trinomial) that the R.N.G. is based on, and + separation between the two lower order coefficients of the trinomial. */ + +/* Linear congruential. */ +#define TYPE_0 0 +#define BREAK_0 8 +#define DEG_0 0 +#define SEP_0 0 + +/* x**7 + x**3 + 1. */ +#define TYPE_1 1 +#define BREAK_1 32 +#define DEG_1 7 +#define SEP_1 3 + +/* x**15 + x + 1. */ +#define TYPE_2 2 +#define BREAK_2 64 +#define DEG_2 15 +#define SEP_2 1 + +/* x**31 + x**3 + 1. */ +#define TYPE_3 3 +#define BREAK_3 128 +#define DEG_3 31 +#define SEP_3 3 + +/* x**63 + x + 1. */ +#define TYPE_4 4 +#define BREAK_4 256 +#define DEG_4 63 +#define SEP_4 1 + + +/* Array versions of the above information to make code run faster. + Relies on fact that TYPE_i == i. */ + +#define MAX_TYPES 5 /* Max number of types above. */ + + +/* Initially, everything is set up as if from: + initstate(1, randtbl, 128); + Note that this initialization takes advantage of the fact that srandom + advances the front and rear pointers 10*rand_deg times, and hence the + rear pointer which starts at 0 will also end up at zero; thus the zeroth + element of the state information, which contains info about the current + position of the rear pointer is just + (MAX_TYPES * (rptr - state)) + TYPE_3 == TYPE_3. */ + +static int32_t randtbl[DEG_3 + 1] = + { + TYPE_3, + + -1726662223, 379960547, 1735697613, 1040273694, 1313901226, + 1627687941, -179304937, -2073333483, 1780058412, -1989503057, + -615974602, 344556628, 939512070, -1249116260, 1507946756, + -812545463, 154635395, 1388815473, -1926676823, 525320961, + -1009028674, 968117788, -123449607, 1284210865, 435012392, + -2017506339, -911064859, -370259173, 1132637927, 1398500161, + -205601318, + }; + + +static struct random_data unsafe_state = + { +/* FPTR and RPTR are two pointers into the state info, a front and a rear + pointer. These two pointers are always rand_sep places apart, as they + cycle through the state information. (Yes, this does mean we could get + away with just one pointer, but the code for random is more efficient + this way). The pointers are left positioned as they would be from the call: + initstate(1, randtbl, 128); + (The position of the rear pointer, rptr, is really 0 (as explained above + in the initialization of randtbl) because the state table pointer is set + to point to randtbl[1] (as explained below).) */ + + .fptr = &randtbl[SEP_3 + 1], + .rptr = &randtbl[1], + +/* The following things are the pointer to the state information table, + the type of the current generator, the degree of the current polynomial + being used, and the separation between the two pointers. + Note that for efficiency of random, we remember the first location of + the state information, not the zeroth. Hence it is valid to access + state[-1], which is used to store the type of the R.N.G. + Also, we remember the last location, since this is more efficient than + indexing every time to find the address of the last element to see if + the front and rear pointers have wrapped. */ + + .state = &randtbl[1], + + .rand_type = TYPE_3, + .rand_deg = DEG_3, + .rand_sep = SEP_3, + + .end_ptr = &randtbl[sizeof (randtbl) / sizeof (randtbl[0])] +}; + +/* POSIX.1c requires that there is mutual exclusion for the 'rand' and + 'srand' functions to prevent concurrent calls from modifying common + data. */ +__libc_lock_define_initialized (static, lock) + +/* Initialize the random number generator based on the given seed. If the + type is the trivial no-state-information type, just remember the seed. + Otherwise, initializes state[] based on the given "seed" via a linear + congruential generator. Then, the pointers are set to known locations + that are exactly rand_sep places apart. Lastly, it cycles the state + information a given number of times to get rid of any initial dependencies + introduced by the L.C.R.N.G. Note that the initialization of randtbl[] + for default usage relies on values produced by this routine. */ +void +__srandom (unsigned int x) +{ + __libc_lock_lock (lock); + (void) __srandom_r (x, &unsafe_state); + __libc_lock_unlock (lock); +} + +weak_alias (__srandom, srandom) +weak_alias (__srandom, srand) + +/* Initialize the state information in the given array of N bytes for + future random number generation. Based on the number of bytes we + are given, and the break values for the different R.N.G.'s, we choose + the best (largest) one we can and set things up for it. srandom is + then called to initialize the state information. Note that on return + from srandom, we set state[-1] to be the type multiplexed with the current + value of the rear pointer; this is so successive calls to initstate won't + lose this information and will be able to restart with setstate. + Note: The first thing we do is save the current state, if any, just like + setstate so that it doesn't matter when initstate is called. + Returns a pointer to the old state. */ +char * +__initstate (unsigned int seed, char *arg_state, size_t n) +{ + int32_t *ostate; + int ret; + + __libc_lock_lock (lock); + + ostate = &unsafe_state.state[-1]; + + ret = __initstate_r (seed, arg_state, n, &unsafe_state); + + __libc_lock_unlock (lock); + + return ret == -1 ? NULL : (char *) ostate; +} + +weak_alias (__initstate, initstate) + +/* Restore the state from the given state array. + Note: It is important that we also remember the locations of the pointers + in the current state information, and restore the locations of the pointers + from the old state information. This is done by multiplexing the pointer + location into the zeroth word of the state information. Note that due + to the order in which things are done, it is OK to call setstate with the + same state as the current state + Returns a pointer to the old state information. */ +char * +__setstate (char *arg_state) +{ + int32_t *ostate; + + __libc_lock_lock (lock); + + ostate = &unsafe_state.state[-1]; + + if (__setstate_r (arg_state, &unsafe_state) < 0) + ostate = NULL; + + __libc_lock_unlock (lock); + + return (char *) ostate; +} + +weak_alias (__setstate, setstate) + +/* If we are using the trivial TYPE_0 R.N.G., just do the old linear + congruential bit. Otherwise, we do our fancy trinomial stuff, which is the + same in all the other cases due to all the global variables that have been + set up. The basic operation is to add the number at the rear pointer into + the one at the front pointer. Then both pointers are advanced to the next + location cyclically in the table. The value returned is the sum generated, + reduced to 31 bits by throwing away the "least random" low bit. + Note: The code takes advantage of the fact that both the front and + rear pointers can't wrap on the same call by not testing the rear + pointer if the front one has wrapped. Returns a 31-bit random number. */ + +long int +__random (void) +{ + int32_t retval; + + __libc_lock_lock (lock); + + (void) __random_r (&unsafe_state, &retval); + + __libc_lock_unlock (lock); + + return retval; +} + +weak_alias (__random, random) |