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* random.c (scm_c_random_bignum): rewrite to handle GMP bignums.

This commit is contained in:
Rob Browning 2003-04-04 21:50:22 +00:00
parent aab1caadd3
commit 969d3bd043

View file

@ -271,79 +271,66 @@ scm_c_random (scm_t_rstate *state, unsigned long m)
SCM
scm_c_random_bignum (scm_t_rstate *state, SCM m)
{
SCM b;
int i, nd;
scm_t_int32 *bits, mask, w;
nd = SCM_NUMDIGS (m);
/* Compute a 32-bit bitmask for use when filling bits into the most
significant long word in b's bit space. A combination of
conditionals and an 8-bit lookup table (scm_masktab) is used.
*/
#if SIZEOF_INT == 4
/* 16 bit digits */
if (nd & 1)
SCM result = scm_i_mkbig ();
int finished = 0;
const size_t m_bits = mpz_sizeinbase (SCM_I_BIG_MPZ (m), 2);
/* how many bits would only partially fill the last unsigned long? */
const size_t end_bits = m_bits % (sizeof (unsigned long) * 8);
unsigned long *random_chunks = NULL;
const unsigned long num_full_chunks = m_bits / (sizeof (unsigned long) * 8);
const unsigned long num_chunks = num_full_chunks + ((end_bits) ? 1 : 0);
/* we know the result will be this big */
mpz_realloc2 (SCM_I_BIG_MPZ (result), m_bits);
random_chunks =
(unsigned long *) scm_gc_calloc (num_chunks * sizeof (unsigned long),
"random bignum chunks");
/* FIXME: what about chance that bignums end up with zeroes at the
front? -- do we need to normalize? */
while (!finished)
{
/* fix most significant 16 bits */
unsigned short s = SCM_BDIGITS (m)[nd - 1];
mask = s < 0x100 ? scm_masktab[s] : scm_masktab[s >> 8] << 8 | 0xff;
unsigned long *current_chunk = random_chunks + (num_chunks - 1);
unsigned long chunks_left = num_chunks;
int cmp;
mpz_set_ui (SCM_I_BIG_MPZ (result), 0);
if (end_bits)
{
/* generate a mask with ones in the end_bits position, i.e. if
end_bits is 3, then we'd have a mask of ...0000000111 */
const unsigned long rndbits = scm_the_rng.random_bits (state);
int rshift = (sizeof (unsigned long) * 8) - end_bits;
unsigned long mask = ((unsigned long) ULONG_MAX) >> rshift;
unsigned long highest_bits = rndbits & mask;
*current_chunk-- = highest_bits;
chunks_left--;
}
while (chunks_left)
{
/* now fill in the remaining unsigned long sized chunks */
*current_chunk-- = scm_the_rng.random_bits (state);
chunks_left--;
}
mpz_import (SCM_I_BIG_MPZ (result),
num_chunks,
-1,
sizeof (unsigned long),
0,
0,
random_chunks);
cmp = mpz_cmp (SCM_I_BIG_MPZ (m), SCM_I_BIG_MPZ (result));
if (cmp >= 0)
finished = 1;
}
else
#endif
{
/* fix most significant 32 bits */
#if SIZEOF_INT == 4
w = SCM_BDIGITS (m)[nd - 1] << 16 | SCM_BDIGITS (m)[nd - 2];
#else
w = SCM_BDIGITS (m)[nd - 1];
#endif
mask = (w < 0x10000
? (w < 0x100
? scm_masktab[w]
: scm_masktab[w >> 8] << 8 | 0xff)
: (w < 0x1000000
? scm_masktab[w >> 16] << 16 | 0xffff
: scm_masktab[w >> 24] << 24 | 0xffffff));
}
/* allocate b and assign the bit space address to the variable "bits" */
b = scm_i_mkbig (nd, 0);
bits = (scm_t_int32 *) SCM_BDIGITS (b);
do
{
i = nd;
/* generate the most significant bits using the mask */
#if SIZEOF_INT == 4
/* 16 bit digits */
if (i & 1)
{
((SCM_BIGDIG*) bits)[i - 1] = scm_the_rng.random_bits (state) & mask;
i /= 2;
}
else
#endif
{
/* fix most significant 32 bits */
#if SIZEOF_INT == 4
w = scm_the_rng.random_bits (state) & mask;
((SCM_BIGDIG*) bits)[i - 2] = w & 0xffff;
((SCM_BIGDIG*) bits)[i - 1] = w >> 16;
i = i / 2 - 1;
#else
i /= 2;
bits[--i] = scm_the_rng.random_bits (state) & mask;
#endif
}
/* now fill up the rest of the bignum */
while (i)
bits[--i] = scm_the_rng.random_bits (state);
/* use scm_i_normbig to cut away leading zeros and/or convert to inum */
b = scm_i_normbig (b);
if (SCM_INUMP (b))
return b;
/* if b >= m, regenerate b (it is important to regenerates all
bits in order not to get a distorted distribution)
*/
} while (scm_bigcomp (b, m) <= 0);
return b;
scm_gc_free (random_chunks,
num_chunks * sizeof (unsigned long),
"random bignum chunks");
return result;
}
/*
@ -400,7 +387,8 @@ SCM_DEFINE (scm_random, "random", 1, 1, 0,
if (SCM_REALP (n))
return scm_make_real (SCM_REAL_VALUE (n)
* scm_c_uniform01 (SCM_RSTATE (state)));
SCM_VALIDATE_SMOB (1, n, big);
SCM_VALIDATE_BIGINT (1, n);
return scm_c_random_bignum (SCM_RSTATE (state), n);
}
#undef FUNC_NAME
@ -603,18 +591,6 @@ scm_init_random ()
#include "libguile/random.x"
/* Check that the assumptions about bits per bignum digit are correct. */
#if SIZEOF_INT == 4
m = 16;
#else
m = 32;
#endif
if (m != SCM_BITSPERDIG)
{
fprintf (stderr, "Internal inconsistency: Confused about bignum digit size in random.c\n");
exit (1);
}
scm_add_feature ("random");
}