static void
randiset_lc (gmp_randstate_ptr dst, gmp_randstate_srcptr src)
{
gmp_rand_lc_struct *dstp, *srcp;
srcp = (gmp_rand_lc_struct *) RNG_STATE (src);
dstp = (*__gmp_allocate_func) (sizeof (gmp_rand_lc_struct));
RNG_STATE (dst) = (void *) dstp;
RNG_FNPTR (dst) = (void *) &Linear_Congruential_Generator;
/* _mp_seed and _mp_a might be unnormalized (high zero limbs), but
mpz_init_set won't worry about that */
mpz_init_set (dstp->_mp_seed, srcp->_mp_seed);
mpz_init_set (dstp->_mp_a, srcp->_mp_a);
dstp->_cn = srcp->_cn;
dstp->_cp[0] = srcp->_cp[0];
if (LIMBS_PER_ULONG > 1)
dstp->_cp[1] = srcp->_cp[1];
if (LIMBS_PER_ULONG > 2) /* usually there's only 1 or 2 */
MPN_COPY (dstp->_cp + 2, srcp->_cp + 2, LIMBS_PER_ULONG - 2);
dstp->_mp_m2exp = srcp->_mp_m2exp;
}
static void
randclear_lc (gmp_randstate_t rstate)
{
gmp_rand_lc_struct *p = (gmp_rand_lc_struct *) RNG_STATE (rstate);
mpz_clear (p->_mp_seed);
mpz_clear (p->_mp_a);
(*__gmp_free_func) (p, sizeof (gmp_rand_lc_struct));
}
static void
randseed_lc (gmp_randstate_t rstate, mpz_srcptr seed)
{
gmp_rand_lc_struct *p = (gmp_rand_lc_struct *) RNG_STATE (rstate);
mpz_ptr seedz = p->_mp_seed;
mp_size_t seedn = BITS_TO_LIMBS (p->_mp_m2exp);
/* Store p->_mp_seed as an unnormalized integer with size enough
for numbers up to 2^m2exp-1. That size can't be zero. */
mpz_fdiv_r_2exp (seedz, seed, p->_mp_m2exp);
MPN_ZERO (&PTR (seedz)[SIZ (seedz)], seedn - SIZ (seedz));
SIZ (seedz) = seedn;
}
static void
randseed_mt (gmp_randstate_t rstate, mpz_srcptr seed)
{
int i;
size_t cnt;
gmp_rand_mt_struct *p;
mpz_t mod; /* Modulus. */
mpz_t seed1; /* Intermediate result. */
p = (gmp_rand_mt_struct *) RNG_STATE (rstate);
mpz_init2 (mod, 19938L);
mpz_init2 (seed1, 19937L);
mpz_setbit (mod, 19937L);
mpz_sub_ui (mod, mod, 20027L);
mpz_mod (seed1, seed, mod); /* Reduce `seed' modulo `mod'. */
mpz_clear (mod);
mpz_add_ui (seed1, seed1, 2L); /* seed1 is now ready. */
mangle_seed (seed1); /* Perform the mangling by powering. */
/* Copy the last bit into bit 31 of mt[0] and clear it. */
p->mt[0] = (mpz_tstbit (seed1, 19936L) != 0) ? 0x80000000 : 0;
mpz_clrbit (seed1, 19936L);
/* Split seed1 into N-1 32-bit chunks. */
mpz_export (&p->mt[1], &cnt, -1, sizeof (p->mt[1]), 0,
8 * sizeof (p->mt[1]) - 32, seed1);
mpz_clear (seed1);
cnt++;
ASSERT (cnt <= N);
while (cnt < N)
p->mt[cnt++] = 0;
/* Warm the generator up if necessary. */
if (WARM_UP != 0)
for (i = 0; i < WARM_UP / N; i++)
__gmp_mt_recalc_buffer (p->mt);
p->mti = WARM_UP % N;
}
void
gmp_randinit_lc_2exp (gmp_randstate_t rstate,
mpz_srcptr a,
unsigned long int c,
mp_bitcnt_t m2exp)
{
gmp_rand_lc_struct *p;
mp_size_t seedn = BITS_TO_LIMBS (m2exp);
ASSERT_ALWAYS (m2exp != 0);
p = __GMP_ALLOCATE_FUNC_TYPE (1, gmp_rand_lc_struct);
RNG_STATE (rstate) = (void *) p;
RNG_FNPTR (rstate) = (void *) &Linear_Congruential_Generator;
/* allocate m2exp bits of space for p->_mp_seed, and initial seed "1" */
mpz_init2 (p->_mp_seed, m2exp);
MPN_ZERO (PTR (p->_mp_seed), seedn);
SIZ (p->_mp_seed) = seedn;
PTR (p->_mp_seed)[0] = 1;
/* "a", forced to 0 to 2^m2exp-1 */
mpz_init (p->_mp_a);
mpz_fdiv_r_2exp (p->_mp_a, a, m2exp);
/* Avoid SIZ(a) == 0 to avoid checking for special case in lc(). */
if (SIZ (p->_mp_a) == 0)
{
SIZ (p->_mp_a) = 1;
PTR (p->_mp_a)[0] = CNST_LIMB (0);
}
MPN_SET_UI (p->_cp, p->_cn, c);
/* Internally we may discard any bits of c above m2exp. The following
code ensures that __GMPN_ADD in lc() will always work. */
if (seedn < p->_cn)
p->_cn = (p->_cp[0] != 0);
p->_mp_m2exp = m2exp;
}
static unsigned long int
lc (mp_ptr rp, gmp_randstate_t rstate)
{
mp_ptr tp, seedp, ap;
mp_size_t ta;
mp_size_t tn, seedn, an;
unsigned long int m2exp;
unsigned long int bits;
int cy;
mp_size_t xn;
gmp_rand_lc_struct *p;
TMP_DECL;
p = (gmp_rand_lc_struct *) RNG_STATE (rstate);
m2exp = p->_mp_m2exp;
seedp = PTR (p->_mp_seed);
seedn = SIZ (p->_mp_seed);
ap = PTR (p->_mp_a);
an = SIZ (p->_mp_a);
/* Allocate temporary storage. Let there be room for calculation of
(A * seed + C) % M, or M if bigger than that. */
TMP_MARK;
ta = an + seedn + 1;
tn = BITS_TO_LIMBS (m2exp);
if (ta <= tn) /* that is, if (ta < tn + 1) */
{
mp_size_t tmp = an + seedn;
ta = tn + 1;
tp = (mp_ptr) TMP_ALLOC (ta * BYTES_PER_MP_LIMB);
MPN_ZERO (&tp[tmp], ta - tmp); /* mpn_mul won't zero it out. */
}
else
tp = (mp_ptr) TMP_ALLOC (ta * BYTES_PER_MP_LIMB);
/* t = a * seed. NOTE: an is always > 0; see initialization. */
ASSERT (seedn >= an && an > 0);
mpn_mul (tp, seedp, seedn, ap, an);
/* t = t + c. NOTE: tn is always >= p->_cn (precondition for __GMPN_ADD);
see initialization. */
ASSERT (tn >= p->_cn);
__GMPN_ADD (cy, tp, tp, tn, p->_cp, p->_cn);
/* t = t % m */
tp[m2exp / GMP_NUMB_BITS] &= (CNST_LIMB (1) << m2exp % GMP_NUMB_BITS) - 1;
/* Save result as next seed. */
MPN_COPY (PTR (p->_mp_seed), tp, tn);
/* Discard the lower m2exp/2 of the result. */
bits = m2exp / 2;
xn = bits / GMP_NUMB_BITS;
tn -= xn;
if (tn > 0)
{
unsigned int cnt = bits % GMP_NUMB_BITS;
if (cnt != 0)
{
mpn_rshift (tp, tp + xn, tn, cnt);
MPN_COPY_INCR (rp, tp, xn + 1);
}
else /* Even limb boundary. */
MPN_COPY_INCR (rp, tp + xn, tn);
}
TMP_FREE;
/* Return number of valid bits in the result. */
return (m2exp + 1) / 2;
}
/* Obtain a sequence of random numbers. */
static void
randget_lc (gmp_randstate_t rstate, mp_ptr rp, unsigned long int nbits)
{
unsigned long int rbitpos;
int chunk_nbits;
mp_ptr tp;
mp_size_t tn;
gmp_rand_lc_struct *p;
TMP_DECL;
p = (gmp_rand_lc_struct *) RNG_STATE (rstate);
TMP_MARK;
chunk_nbits = p->_mp_m2exp / 2;
tn = BITS_TO_LIMBS (chunk_nbits);
tp = (mp_ptr) TMP_ALLOC (tn * BYTES_PER_MP_LIMB);
rbitpos = 0;
while (rbitpos + chunk_nbits <= nbits)
{
mp_ptr r2p = rp + rbitpos / GMP_NUMB_BITS;
if (rbitpos % GMP_NUMB_BITS != 0)
{
mp_limb_t savelimb, rcy;
/* Target of new chunk is not bit aligned. Use temp space
and align things by shifting it up. */
lc (tp, rstate);
savelimb = r2p[0];
rcy = mpn_lshift (r2p, tp, tn, rbitpos % GMP_NUMB_BITS);
r2p[0] |= savelimb;
/* bogus */
if ((chunk_nbits % GMP_NUMB_BITS + rbitpos % GMP_NUMB_BITS)
> GMP_NUMB_BITS)
r2p[tn] = rcy;
}
else
{
/* Target of new chunk is bit aligned. Let `lc' put bits
directly into our target variable. */
lc (r2p, rstate);
}
rbitpos += chunk_nbits;
}
/* Handle last [0..chunk_nbits) bits. */
if (rbitpos != nbits)
{
mp_ptr r2p = rp + rbitpos / GMP_NUMB_BITS;
int last_nbits = nbits - rbitpos;
tn = BITS_TO_LIMBS (last_nbits);
lc (tp, rstate);
if (rbitpos % GMP_NUMB_BITS != 0)
{
mp_limb_t savelimb, rcy;
/* Target of new chunk is not bit aligned. Use temp space
and align things by shifting it up. */
savelimb = r2p[0];
rcy = mpn_lshift (r2p, tp, tn, rbitpos % GMP_NUMB_BITS);
r2p[0] |= savelimb;
if (rbitpos + tn * GMP_NUMB_BITS - rbitpos % GMP_NUMB_BITS < nbits)
r2p[tn] = rcy;
}
else
{
MPN_COPY (r2p, tp, tn);
}
/* Mask off top bits if needed. */
if (nbits % GMP_NUMB_BITS != 0)
rp[nbits / GMP_NUMB_BITS]
&= ~(~CNST_LIMB (0) << nbits % GMP_NUMB_BITS);
}
TMP_FREE;
}