unbound/util/random.c
Wouter Wijngaards 0e3a023540 Signal solution
git-svn-id: file:///svn/unbound/trunk@152 be551aaa-1e26-0410-a405-d3ace91eadb9
2007-02-27 10:33:04 +00:00

364 lines
13 KiB
C

/*
* util/random.c - random numbers thread safe.
* BSD licensed, taken from binutils 2.17.
*/
#include "config.h"
#include "util/random.h"
/*
* 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.
* 3. [rescinded 22 July 1999]
* 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.
*/
/*
* 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.
*/
/**
* \file
* Thread safe random functions. Similar to random(3) and initstate(3).
*/
#include <errno.h>
#ifndef ULONG_MAX
/** in case its not defined */
#define ULONG_MAX ((unsigned long)(~0L)) /* 0xFFFFFFFF for 32-bits */
#endif
#ifndef LONG_MAX
/** in case its not defined */
#define LONG_MAX ((long)(ULONG_MAX >> 1)) /* 0x7FFFFFFF for 32-bits*/
#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 initiallized
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 zeroeth 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 zeroeth 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 thi
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
/** the break */
#define BREAK_0 8
/** the degree */
#define DEG_0 0
/** the sep */
#define SEP_0 0
/** x**7 + x**3 + 1. */
#define TYPE_1 1
/** the break */
#define BREAK_1 32
/** the degree */
#define DEG_1 7
/** the sep */
#define SEP_1 3
/** x**15 + x + 1. */
#define TYPE_2 2
/** the break */
#define BREAK_2 64
/** the degree */
#define DEG_2 15
/** the sep */
#define SEP_2 1
/** x**31 + x**3 + 1. */
#define TYPE_3 3
/** the break */
#define BREAK_3 128
/** the degree */
#define DEG_3 31
/** the sep */
#define SEP_3 3
/** x**63 + x + 1. */
#define TYPE_4 4
/** the break */
#define BREAK_4 256
/** the degree */
#define DEG_4 63
/** the sep */
#define SEP_4 1
/* Array versions of the above information to make code run faster.
Relies on fact that TYPE_i == i. */
/** Max number of types above. */
#define MAX_TYPES 5
/*
static int degrees[MAX_TYPES] = { DEG_0, DEG_1, DEG_2, DEG_3, DEG_4 };
static int seps[MAX_TYPES] = { SEP_0, SEP_1, SEP_2, SEP_3, SEP_4 };
*/
/* 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 zeroeth
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 long int randtbl[DEG_3 + 1] =
{ TYPE_3,
0x9a319039, 0x32d9c024, 0x9b663182, 0x5da1f342,
0xde3b81e0, 0xdf0a6fb5, 0xf103bc02, 0x48f340fb,
0x7449e56b, 0xbeb1dbb0, 0xab5c5918, 0x946554fd,
0x8c2e680f, 0xeb3d799f, 0xb11ee0b7, 0x2d436b86,
0xda672e2a, 0x1588ca88, 0xe369735d, 0x904f35f7,
0xd7158fd6, 0x6fa6f051, 0x616e6b96, 0xac94efdc,
0x36413f93, 0xc622c298, 0xf5a42ab8, 0x8a88d77b,
0xf5ad9d0e, 0x8999220b, 0x27fb47b9
};
*/
/* FPTR and RPTR are two pointers into the state info, a front and a rear
pointer. These two pointers are always rand_sep places aparts, 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).) */
/*
static long int *fptr = &randtbl[SEP_3 + 1];
static long int *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 zeroeth. 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. */
/*
static long int *state = &randtbl[1];
static int rand_type = TYPE_3;
static int rand_deg = DEG_3;
static int rand_sep = SEP_3;
static long int *end_ptr = &randtbl[sizeof(randtbl) / sizeof(randtbl[0])];
*/
/* 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. */
/** init state.
* @param s: state to init.
* @param x: seed.
*/
static void
ub_srandom (struct ub_randstate* s, unsigned int x)
{
s->state[0] = (long int)x;
if (s->rand_type != TYPE_0)
{
register long int i;
for (i = 1; i < s->rand_deg; ++i)
s->state[i] = (1103515145 * s->state[i - 1]) + 12345;
s->fptr = &s->state[s->rand_sep];
s->rptr = &s->state[0];
for (i = 0; i < 10 * s->rand_deg; ++i)
(void)ub_random(s);
}
}
/* 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. */
int
ub_initstate (unsigned int seed, struct ub_randstate* state, unsigned long n)
{
memset(state, 0, sizeof(state));
state->state = calloc(1, n);
if(!state->state)
return 0;
if (n < BREAK_1)
{
if (n < BREAK_0)
{
errno = EINVAL;
return 0;
}
state->rand_type = TYPE_0;
state->rand_deg = DEG_0;
state->rand_sep = SEP_0;
}
else if (n < BREAK_2)
{
state->rand_type = TYPE_1;
state->rand_deg = DEG_1;
state->rand_sep = SEP_1;
}
else if (n < BREAK_3)
{
state->rand_type = TYPE_2;
state->rand_deg = DEG_2;
state->rand_sep = SEP_2;
}
else if (n < BREAK_4)
{
state->rand_type = TYPE_3;
state->rand_deg = DEG_3;
state->rand_sep = SEP_3;
}
else
{
state->rand_type = TYPE_4;
state->rand_deg = DEG_4;
state->rand_sep = SEP_4;
}
/* Must set END_PTR before srandom. */
state->end_ptr = &state->state[state->rand_deg];
ub_srandom(state, seed);
/*
if (state->rand_type == TYPE_0)
state->state[-1] = state->rand_type;
else
state->state[-1] = (MAX_TYPES * (state->rptr - state->state)) + state->rand_type;
*/
return 1;
}
/* 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 ther 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
ub_random (struct ub_randstate* s)
{
if (s->rand_type == TYPE_0)
{
s->state[0] = ((s->state[0] * 1103515245) + 12345) & LONG_MAX;
return s->state[0];
}
else
{
long int i;
*s->fptr += *s->rptr;
/* Chucking least random bit. */
i = (*s->fptr >> 1) & LONG_MAX;
++s->fptr;
if (s->fptr >= s->end_ptr)
{
s->fptr = s->state;
++s->rptr;
}
else
{
++s->rptr;
if (s->rptr >= s->end_ptr)
s->rptr = s->state;
}
return i;
}
}
void ub_randfree(struct ub_randstate* state)
{
if(!state)
return;
free(state->state);
}