|
|
- From 57700c26d73cf7fa6f5cfaec1145eccf388acab9 Mon Sep 17 00:00:00 2001
- From: Nikos Mavrogiannopoulos <nmav@gnutls.org>
- Date: Sun, 9 Mar 2014 11:27:42 +0100
- Subject: [PATCH 1/5] Updated mini-gmp
-
- ---
- mini-gmp.c | 890 +++++++++++++++++++++++++++++++++++++++----------------------
- mini-gmp.h | 55 +++-
- 2 files changed, 618 insertions(+), 327 deletions(-)
-
- diff --git a/mini-gmp.c b/mini-gmp.c
- index 8b6f070..766df30 100644
- --- a/mini-gmp.c
- +++ b/mini-gmp.c
- @@ -2,24 +2,33 @@
-
- Contributed to the GNU project by Niels Möller
-
- -Copyright 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2001,
- -2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013
- -Free Software Foundation, Inc.
- +Copyright 1991-1997, 1999-2014 Free Software Foundation, Inc.
-
- This file is part of the GNU MP Library.
-
- The GNU MP Library 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.
- +it under the terms of either:
- +
- + * 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.
- +
- +or
- +
- + * the GNU General Public License as published by the Free Software
- + Foundation; either version 2 of the License, or (at your option) any
- + later version.
- +
- +or both in parallel, as here.
-
- The GNU MP Library 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.
- +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
- +for more details.
-
- -You should have received a copy of the GNU Lesser General Public License
- -along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
- +You should have received copies of the GNU General Public License and the
- +GNU Lesser General Public License along with the GNU MP Library. If not,
- +see https://www.gnu.org/licenses/. */
-
- /* NOTE: All functions in this file which are not declared in
- mini-gmp.h are internal, and are not intended to be compatible
- @@ -222,11 +231,13 @@ along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
- } while (0)
- #define MPZ_SRCPTR_SWAP(x, y) \
- do { \
- - mpz_srcptr __mpz_srcptr_swap__tmp = (x); \
- + mpz_srcptr __mpz_srcptr_swap__tmp = (x); \
- (x) = (y); \
- (y) = __mpz_srcptr_swap__tmp; \
- } while (0)
-
- +const int mp_bits_per_limb = GMP_LIMB_BITS;
- +
-
- /* Memory allocation and other helper functions. */
- static void
- @@ -342,12 +353,10 @@ mpn_copyd (mp_ptr d, mp_srcptr s, mp_size_t n)
- int
- mpn_cmp (mp_srcptr ap, mp_srcptr bp, mp_size_t n)
- {
- - for (; n > 0; n--)
- + while (--n >= 0)
- {
- - if (ap[n-1] < bp[n-1])
- - return -1;
- - else if (ap[n-1] > bp[n-1])
- - return 1;
- + if (ap[n] != bp[n])
- + return ap[n] > bp[n] ? 1 : -1;
- }
- return 0;
- }
- @@ -355,10 +364,8 @@ mpn_cmp (mp_srcptr ap, mp_srcptr bp, mp_size_t n)
- static int
- mpn_cmp4 (mp_srcptr ap, mp_size_t an, mp_srcptr bp, mp_size_t bn)
- {
- - if (an > bn)
- - return 1;
- - else if (an < bn)
- - return -1;
- + if (an != bn)
- + return an < bn ? -1 : 1;
- else
- return mpn_cmp (ap, bp, an);
- }
- @@ -373,20 +380,31 @@ mpn_normalized_size (mp_srcptr xp, mp_size_t n)
-
- #define mpn_zero_p(xp, n) (mpn_normalized_size ((xp), (n)) == 0)
-
- +void
- +mpn_zero (mp_ptr rp, mp_size_t n)
- +{
- + mp_size_t i;
- +
- + for (i = 0; i < n; i++)
- + rp[i] = 0;
- +}
- +
- mp_limb_t
- mpn_add_1 (mp_ptr rp, mp_srcptr ap, mp_size_t n, mp_limb_t b)
- {
- mp_size_t i;
-
- assert (n > 0);
- -
- - for (i = 0; i < n; i++)
- + i = 0;
- + do
- {
- mp_limb_t r = ap[i] + b;
- /* Carry out */
- b = (r < b);
- rp[i] = r;
- }
- + while (++i < n);
- +
- return b;
- }
-
- @@ -429,7 +447,8 @@ mpn_sub_1 (mp_ptr rp, mp_srcptr ap, mp_size_t n, mp_limb_t b)
-
- assert (n > 0);
-
- - for (i = 0; i < n; i++)
- + i = 0;
- + do
- {
- mp_limb_t a = ap[i];
- /* Carry out */
- @@ -437,6 +456,8 @@ mpn_sub_1 (mp_ptr rp, mp_srcptr ap, mp_size_t n, mp_limb_t b)
- rp[i] = a - b;
- b = cy;
- }
- + while (++i < n);
- +
- return b;
- }
-
- @@ -602,7 +623,7 @@ mpn_lshift (mp_ptr rp, mp_srcptr up, mp_size_t n, unsigned int cnt)
- retval = low_limb >> tnc;
- high_limb = (low_limb << cnt);
-
- - for (i = n - 1; i != 0; i--)
- + for (i = n; --i != 0;)
- {
- low_limb = *--up;
- *--rp = high_limb | (low_limb >> tnc);
- @@ -630,7 +651,7 @@ mpn_rshift (mp_ptr rp, mp_srcptr up, mp_size_t n, unsigned int cnt)
- retval = (high_limb << tnc);
- low_limb = high_limb >> cnt;
-
- - for (i = n - 1; i != 0; i--)
- + for (i = n; --i != 0;)
- {
- high_limb = *up++;
- *rp++ = low_limb | (high_limb << tnc);
- @@ -641,6 +662,46 @@ mpn_rshift (mp_ptr rp, mp_srcptr up, mp_size_t n, unsigned int cnt)
- return retval;
- }
-
- +static mp_bitcnt_t
- +mpn_common_scan (mp_limb_t limb, mp_size_t i, mp_srcptr up, mp_size_t un,
- + mp_limb_t ux)
- +{
- + unsigned cnt;
- +
- + assert (ux == 0 || ux == GMP_LIMB_MAX);
- + assert (0 <= i && i <= un );
- +
- + while (limb == 0)
- + {
- + i++;
- + if (i == un)
- + return (ux == 0 ? ~(mp_bitcnt_t) 0 : un * GMP_LIMB_BITS);
- + limb = ux ^ up[i];
- + }
- + gmp_ctz (cnt, limb);
- + return (mp_bitcnt_t) i * GMP_LIMB_BITS + cnt;
- +}
- +
- +mp_bitcnt_t
- +mpn_scan1 (mp_srcptr ptr, mp_bitcnt_t bit)
- +{
- + mp_size_t i;
- + i = bit / GMP_LIMB_BITS;
- +
- + return mpn_common_scan ( ptr[i] & (GMP_LIMB_MAX << (bit % GMP_LIMB_BITS)),
- + i, ptr, i, 0);
- +}
- +
- +mp_bitcnt_t
- +mpn_scan0 (mp_srcptr ptr, mp_bitcnt_t bit)
- +{
- + mp_size_t i;
- + i = bit / GMP_LIMB_BITS;
- +
- + return mpn_common_scan (~ptr[i] & (GMP_LIMB_MAX << (bit % GMP_LIMB_BITS)),
- + i, ptr, i, GMP_LIMB_MAX);
- +}
- +
-
- /* MPN division interface. */
- mp_limb_t
- @@ -715,8 +776,7 @@ mpn_invert_3by2 (mp_limb_t u1, mp_limb_t u0)
- if (r < th)
- {
- m--;
- - if (r > u1 || (r == u1 && tl > u0))
- - m--;
- + m -= ((r > u1) | ((r == u1) & (tl > u0)));
- }
- }
-
- @@ -836,14 +896,20 @@ mpn_div_qr_1 (mp_ptr qp, mp_srcptr np, mp_size_t nn, mp_limb_t d)
- assert (d > 0);
-
- /* Special case for powers of two. */
- - if (d > 1 && (d & (d-1)) == 0)
- + if ((d & (d-1)) == 0)
- {
- - unsigned shift;
- mp_limb_t r = np[0] & (d-1);
- - gmp_ctz (shift, d);
- if (qp)
- - mpn_rshift (qp, np, nn, shift);
- -
- + {
- + if (d <= 1)
- + mpn_copyi (qp, np, nn);
- + else
- + {
- + unsigned shift;
- + gmp_ctz (shift, d);
- + mpn_rshift (qp, np, nn, shift);
- + }
- + }
- return r;
- }
- else
- @@ -880,7 +946,8 @@ mpn_div_qr_2_preinv (mp_ptr qp, mp_ptr rp, mp_srcptr np, mp_size_t nn,
-
- r0 = np[nn - 1];
-
- - for (i = nn - 2; i >= 0; i--)
- + i = nn - 2;
- + do
- {
- mp_limb_t n0, q;
- n0 = np[i];
- @@ -889,6 +956,7 @@ mpn_div_qr_2_preinv (mp_ptr qp, mp_ptr rp, mp_srcptr np, mp_size_t nn,
- if (qp)
- qp[i] = q;
- }
- + while (--i >= 0);
-
- if (shift > 0)
- {
- @@ -930,18 +998,19 @@ mpn_div_qr_pi1 (mp_ptr qp,
-
- assert (dn > 2);
- assert (nn >= dn);
- - assert ((dp[dn-1] & GMP_LIMB_HIGHBIT) != 0);
-
- d1 = dp[dn - 1];
- d0 = dp[dn - 2];
-
- + assert ((d1 & GMP_LIMB_HIGHBIT) != 0);
- /* Iteration variable is the index of the q limb.
- *
- * We divide <n1, np[dn-1+i], np[dn-2+i], np[dn-3+i],..., np[i]>
- * by <d1, d0, dp[dn-3], ..., dp[0] >
- */
-
- - for (i = nn - dn; i >= 0; i--)
- + i = nn - dn;
- + do
- {
- mp_limb_t n0 = np[dn-1+i];
-
- @@ -973,6 +1042,7 @@ mpn_div_qr_pi1 (mp_ptr qp,
- if (qp)
- qp[i] = q;
- }
- + while (--i >= 0);
-
- np[dn - 1] = n1;
- }
- @@ -994,7 +1064,9 @@ mpn_div_qr_preinv (mp_ptr qp, mp_ptr np, mp_size_t nn,
- mp_limb_t nh;
- unsigned shift;
-
- - assert (dp[dn-1] & GMP_LIMB_HIGHBIT);
- + assert (inv->d1 == dp[dn-1]);
- + assert (inv->d0 == dp[dn-2]);
- + assert ((inv->d1 & GMP_LIMB_HIGHBIT) != 0);
-
- shift = inv->shift;
- if (shift > 0)
- @@ -1002,9 +1074,6 @@ mpn_div_qr_preinv (mp_ptr qp, mp_ptr np, mp_size_t nn,
- else
- nh = 0;
-
- - assert (inv->d1 == dp[dn-1]);
- - assert (inv->d0 == dp[dn-2]);
- -
- mpn_div_qr_pi1 (qp, np, nn, nh, dp, dn, inv->di);
-
- if (shift > 0)
- @@ -1238,15 +1307,14 @@ mpn_set_str_other (mp_ptr rp, const unsigned char *sp, size_t sn,
- {
- mp_size_t rn;
- mp_limb_t w;
- - unsigned first;
- unsigned k;
- size_t j;
-
- - first = 1 + (sn - 1) % info->exp;
- + k = 1 + (sn - 1) % info->exp;
-
- j = 0;
- w = sp[j++];
- - for (k = 1; k < first; k++)
- + for (; --k > 0; )
- w = w * b + sp[j++];
-
- rp[0] = w;
- @@ -1300,7 +1368,7 @@ mpz_init (mpz_t r)
- }
-
- /* The utility of this function is a bit limited, since many functions
- - assings the result variable using mpz_swap. */
- + assigns the result variable using mpz_swap. */
- void
- mpz_init2 (mpz_t r, mp_bitcnt_t bits)
- {
- @@ -1422,7 +1490,7 @@ mpz_fits_ulong_p (const mpz_t u)
- {
- mp_size_t us = u->_mp_size;
-
- - return us == 0 || us == 1;
- + return (us == (us > 0));
- }
-
- long int
- @@ -1459,6 +1527,48 @@ mpz_getlimbn (const mpz_t u, mp_size_t n)
- return 0;
- }
-
- +void
- +mpz_realloc2 (mpz_t x, mp_bitcnt_t n)
- +{
- + mpz_realloc (x, 1 + (n - (n != 0)) / GMP_LIMB_BITS);
- +}
- +
- +mp_srcptr
- +mpz_limbs_read (mpz_srcptr x)
- +{
- + return x->_mp_d;;
- +}
- +
- +mp_ptr
- +mpz_limbs_modify (mpz_t x, mp_size_t n)
- +{
- + assert (n > 0);
- + return MPZ_REALLOC (x, n);
- +}
- +
- +mp_ptr
- +mpz_limbs_write (mpz_t x, mp_size_t n)
- +{
- + return mpz_limbs_modify (x, n);
- +}
- +
- +void
- +mpz_limbs_finish (mpz_t x, mp_size_t xs)
- +{
- + mp_size_t xn;
- + xn = mpn_normalized_size (x->_mp_d, GMP_ABS (xs));
- + x->_mp_size = xs < 0 ? -xn : xn;
- +}
- +
- +mpz_srcptr
- +mpz_roinit_n (mpz_t x, mp_srcptr xp, mp_size_t xs)
- +{
- + x->_mp_alloc = 0;
- + x->_mp_d = (mp_ptr) xp;
- + mpz_limbs_finish (x, xs);
- + return x;
- +}
- +
-
- /* Conversions and comparison to double. */
- void
- @@ -1473,19 +1583,15 @@ mpz_set_d (mpz_t r, double x)
-
- /* x != x is true when x is a NaN, and x == x * 0.5 is true when x is
- zero or infinity. */
- - if (x == 0.0 || x != x || x == x * 0.5)
- + if (x != x || x == x * 0.5)
- {
- r->_mp_size = 0;
- return;
- }
-
- - if (x < 0.0)
- - {
- - x = - x;
- - sign = 1;
- - }
- - else
- - sign = 0;
- + sign = x < 0.0 ;
- + if (sign)
- + x = - x;
-
- if (x < 1.0)
- {
- @@ -1502,8 +1608,9 @@ mpz_set_d (mpz_t r, double x)
- f = (mp_limb_t) x;
- x -= f;
- assert (x < 1.0);
- - rp[rn-1] = f;
- - for (i = rn-1; i-- > 0; )
- + i = rn-1;
- + rp[i] = f;
- + while (--i >= 0)
- {
- x = B * x;
- f = (mp_limb_t) x;
- @@ -1611,12 +1718,7 @@ mpz_sgn (const mpz_t u)
- {
- mp_size_t usize = u->_mp_size;
-
- - if (usize > 0)
- - return 1;
- - else if (usize < 0)
- - return -1;
- - else
- - return 0;
- + return (usize > 0) - (usize < 0);
- }
-
- int
- @@ -1635,10 +1737,9 @@ mpz_cmp_si (const mpz_t u, long v)
- mp_limb_t ul = u->_mp_d[0];
- if ((mp_limb_t)GMP_NEG_CAST (unsigned long int, v) < ul)
- return -1;
- - else if ( (mp_limb_t)GMP_NEG_CAST (unsigned long int, v) > ul)
- - return 1;
- + else
- + return (mp_limb_t)GMP_NEG_CAST (unsigned long int, v) > ul;
- }
- - return 0;
- }
-
- int
- @@ -1653,12 +1754,8 @@ mpz_cmp_ui (const mpz_t u, unsigned long v)
- else
- {
- mp_limb_t ul = (usize > 0) ? u->_mp_d[0] : 0;
- - if (ul > v)
- - return 1;
- - else if (ul < v)
- - return -1;
- + return (ul > v) - (ul < v);
- }
- - return 0;
- }
-
- int
- @@ -1667,16 +1764,12 @@ mpz_cmp (const mpz_t a, const mpz_t b)
- mp_size_t asize = a->_mp_size;
- mp_size_t bsize = b->_mp_size;
-
- - if (asize > bsize)
- - return 1;
- - else if (asize < bsize)
- - return -1;
- - else if (asize > 0)
- + if (asize != bsize)
- + return (asize < bsize) ? -1 : 1;
- + else if (asize >= 0)
- return mpn_cmp (a->_mp_d, b->_mp_d, asize);
- - else if (asize < 0)
- - return -mpn_cmp (a->_mp_d, b->_mp_d, -asize);
- else
- - return 0;
- + return mpn_cmp (b->_mp_d, a->_mp_d, -asize);
- }
-
- int
- @@ -1690,12 +1783,7 @@ mpz_cmpabs_ui (const mpz_t u, unsigned long v)
-
- ul = (un == 1) ? u->_mp_d[0] : 0;
-
- - if (ul > v)
- - return 1;
- - else if (ul < v)
- - return -1;
- - else
- - return 0;
- + return (ul > v) - (ul < v);
- }
-
- int
- @@ -1753,7 +1841,7 @@ mpz_abs_add_ui (mpz_t r, const mpz_t a, unsigned long b)
-
- cy = mpn_add_1 (rp, a->_mp_d, an, b);
- rp[an] = cy;
- - an += (cy > 0);
- + an += cy;
-
- return an;
- }
- @@ -1815,20 +1903,21 @@ mpz_abs_add (mpz_t r, const mpz_t a, const mpz_t b)
- {
- mp_size_t an = GMP_ABS (a->_mp_size);
- mp_size_t bn = GMP_ABS (b->_mp_size);
- - mp_size_t rn;
- mp_ptr rp;
- mp_limb_t cy;
-
- - rn = GMP_MAX (an, bn);
- - rp = MPZ_REALLOC (r, rn + 1);
- - if (an >= bn)
- - cy = mpn_add (rp, a->_mp_d, an, b->_mp_d, bn);
- - else
- - cy = mpn_add (rp, b->_mp_d, bn, a->_mp_d, an);
- + if (an < bn)
- + {
- + MPZ_SRCPTR_SWAP (a, b);
- + MP_SIZE_T_SWAP (an, bn);
- + }
-
- - rp[rn] = cy;
- + rp = MPZ_REALLOC (r, an + 1);
- + cy = mpn_add (rp, a->_mp_d, an, b->_mp_d, bn);
- +
- + rp[an] = cy;
-
- - return rn + (cy > 0);
- + return an + cy;
- }
-
- static mp_size_t
- @@ -1899,31 +1988,26 @@ mpz_mul_si (mpz_t r, const mpz_t u, long int v)
- void
- mpz_mul_ui (mpz_t r, const mpz_t u, unsigned long int v)
- {
- - mp_size_t un;
- - mpz_t t;
- + mp_size_t un, us;
- mp_ptr tp;
- mp_limb_t cy;
-
- - un = GMP_ABS (u->_mp_size);
- + us = u->_mp_size;
-
- - if (un == 0 || v == 0)
- + if (us == 0 || v == 0)
- {
- r->_mp_size = 0;
- return;
- }
-
- - mpz_init2 (t, (un + 1) * GMP_LIMB_BITS);
- + un = GMP_ABS (us);
-
- - tp = t->_mp_d;
- + tp = MPZ_REALLOC (r, un + 1);
- cy = mpn_mul_1 (tp, u->_mp_d, un, v);
- tp[un] = cy;
-
- - t->_mp_size = un + (cy > 0);
- - if (u->_mp_size < 0)
- - t->_mp_size = - t->_mp_size;
- -
- - mpz_swap (r, t);
- - mpz_clear (t);
- + un += (cy > 0);
- + r->_mp_size = (us < 0) ? - un : un;
- }
-
- void
- @@ -1934,8 +2018,8 @@ mpz_mul (mpz_t r, const mpz_t u, const mpz_t v)
- mpz_t t;
- mp_ptr tp;
-
- - un = GMP_ABS (u->_mp_size);
- - vn = GMP_ABS (v->_mp_size);
- + un = u->_mp_size;
- + vn = v->_mp_size;
-
- if (un == 0 || vn == 0)
- {
- @@ -1943,7 +2027,10 @@ mpz_mul (mpz_t r, const mpz_t u, const mpz_t v)
- return;
- }
-
- - sign = (u->_mp_size ^ v->_mp_size) < 0;
- + sign = (un ^ vn) < 0;
- +
- + un = GMP_ABS (un);
- + vn = GMP_ABS (vn);
-
- mpz_init2 (t, (un + vn) * GMP_LIMB_BITS);
-
- @@ -1996,6 +2083,46 @@ mpz_mul_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t bits)
- r->_mp_size = (u->_mp_size < 0) ? - rn : rn;
- }
-
- +void
- +mpz_addmul_ui (mpz_t r, const mpz_t u, unsigned long int v)
- +{
- + mpz_t t;
- + mpz_init (t);
- + mpz_mul_ui (t, u, v);
- + mpz_add (r, r, t);
- + mpz_clear (t);
- +}
- +
- +void
- +mpz_submul_ui (mpz_t r, const mpz_t u, unsigned long int v)
- +{
- + mpz_t t;
- + mpz_init (t);
- + mpz_mul_ui (t, u, v);
- + mpz_sub (r, r, t);
- + mpz_clear (t);
- +}
- +
- +void
- +mpz_addmul (mpz_t r, const mpz_t u, const mpz_t v)
- +{
- + mpz_t t;
- + mpz_init (t);
- + mpz_mul (t, u, v);
- + mpz_add (r, r, t);
- + mpz_clear (t);
- +}
- +
- +void
- +mpz_submul (mpz_t r, const mpz_t u, const mpz_t v)
- +{
- + mpz_t t;
- + mpz_init (t);
- + mpz_mul (t, u, v);
- + mpz_sub (r, r, t);
- + mpz_clear (t);
- +}
- +
-
- /* MPZ division */
- enum mpz_div_round_mode { GMP_DIV_FLOOR, GMP_DIV_CEIL, GMP_DIV_TRUNC };
- @@ -2060,8 +2187,7 @@ mpz_div_qr (mpz_t q, mpz_t r,
- mp_size_t qn, rn;
- mpz_t tq, tr;
-
- - mpz_init (tr);
- - mpz_set (tr, n);
- + mpz_init_set (tr, n);
- np = tr->_mp_d;
-
- qn = nn - dn + 1;
- @@ -2171,10 +2297,7 @@ mpz_tdiv_r (mpz_t r, const mpz_t n, const mpz_t d)
- void
- mpz_mod (mpz_t r, const mpz_t n, const mpz_t d)
- {
- - if (d->_mp_size >= 0)
- - mpz_div_qr (NULL, r, n, d, GMP_DIV_FLOOR);
- - else
- - mpz_div_qr (NULL, r, n, d, GMP_DIV_CEIL);
- + mpz_div_qr (NULL, r, n, d, d->_mp_size >= 0 ? GMP_DIV_FLOOR : GMP_DIV_CEIL);
- }
-
- static void
- @@ -2184,7 +2307,7 @@ mpz_div_q_2exp (mpz_t q, const mpz_t u, mp_bitcnt_t bit_index,
- mp_size_t un, qn;
- mp_size_t limb_cnt;
- mp_ptr qp;
- - mp_limb_t adjust;
- + int adjust;
-
- un = u->_mp_size;
- if (un == 0)
- @@ -2226,7 +2349,8 @@ mpz_div_q_2exp (mpz_t q, const mpz_t u, mp_bitcnt_t bit_index,
-
- q->_mp_size = qn;
-
- - mpz_add_ui (q, q, adjust);
- + if (adjust)
- + mpz_add_ui (q, q, 1);
- if (un < 0)
- mpz_neg (q, q);
- }
- @@ -2303,7 +2427,7 @@ mpz_div_r_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t bit_index,
- {
- /* r > 0, need to flip sign. */
- rp[i] = ~rp[i] + 1;
- - for (i++; i < rn; i++)
- + while (++i < rn)
- rp[i] = ~rp[i];
-
- rp[rn-1] &= mask;
- @@ -2366,6 +2490,24 @@ mpz_divisible_p (const mpz_t n, const mpz_t d)
- return mpz_div_qr (NULL, NULL, n, d, GMP_DIV_TRUNC) == 0;
- }
-
- +int
- +mpz_congruent_p (const mpz_t a, const mpz_t b, const mpz_t m)
- +{
- + mpz_t t;
- + int res;
- +
- + /* a == b (mod 0) iff a == b */
- + if (mpz_sgn (m) == 0)
- + return (mpz_cmp (a, b) == 0);
- +
- + mpz_init (t);
- + mpz_sub (t, a, b);
- + res = mpz_divisible_p (t, m);
- + mpz_clear (t);
- +
- + return res;
- +}
- +
- static unsigned long
- mpz_div_qr_ui (mpz_t q, mpz_t r,
- const mpz_t n, unsigned long d, enum mpz_div_round_mode mode)
- @@ -2579,32 +2721,16 @@ mpz_gcd_ui (mpz_t g, const mpz_t u, unsigned long v)
- }
-
- static mp_bitcnt_t
- -mpz_make_odd (mpz_t r, const mpz_t u)
- +mpz_make_odd (mpz_t r)
- {
- - mp_size_t un, rn, i;
- - mp_ptr rp;
- - unsigned shift;
- -
- - un = GMP_ABS (u->_mp_size);
- - assert (un > 0);
- + mp_bitcnt_t shift;
-
- - for (i = 0; u->_mp_d[i] == 0; i++)
- - ;
- -
- - gmp_ctz (shift, u->_mp_d[i]);
- -
- - rn = un - i;
- - rp = MPZ_REALLOC (r, rn);
- - if (shift > 0)
- - {
- - mpn_rshift (rp, u->_mp_d + i, rn, shift);
- - rn -= (rp[rn-1] == 0);
- - }
- - else
- - mpn_copyi (rp, u->_mp_d + i, rn);
- + assert (r->_mp_size > 0);
- + /* Count trailing zeros, equivalent to mpn_scan1, because we know that there is a 1 */
- + shift = mpn_common_scan (r->_mp_d[0], 0, r->_mp_d, 0, 0);
- + mpz_tdiv_q_2exp (r, r, shift);
-
- - r->_mp_size = rn;
- - return i * GMP_LIMB_BITS + shift;
- + return shift;
- }
-
- void
- @@ -2627,8 +2753,10 @@ mpz_gcd (mpz_t g, const mpz_t u, const mpz_t v)
- mpz_init (tu);
- mpz_init (tv);
-
- - uz = mpz_make_odd (tu, u);
- - vz = mpz_make_odd (tv, v);
- + mpz_abs (tu, u);
- + uz = mpz_make_odd (tu);
- + mpz_abs (tv, v);
- + vz = mpz_make_odd (tv);
- gz = GMP_MIN (uz, vz);
-
- if (tu->_mp_size < tv->_mp_size)
- @@ -2644,7 +2772,7 @@ mpz_gcd (mpz_t g, const mpz_t u, const mpz_t v)
- {
- int c;
-
- - mpz_make_odd (tu, tu);
- + mpz_make_odd (tu);
- c = mpz_cmp (tu, tv);
- if (c == 0)
- {
- @@ -2706,8 +2834,10 @@ mpz_gcdext (mpz_t g, mpz_t s, mpz_t t, const mpz_t u, const mpz_t v)
- mpz_init (t0);
- mpz_init (t1);
-
- - uz = mpz_make_odd (tu, u);
- - vz = mpz_make_odd (tv, v);
- + mpz_abs (tu, u);
- + uz = mpz_make_odd (tu);
- + mpz_abs (tv, v);
- + vz = mpz_make_odd (tv);
- gz = GMP_MIN (uz, vz);
-
- uz -= gz;
- @@ -2755,7 +2885,7 @@ mpz_gcdext (mpz_t g, mpz_t s, mpz_t t, const mpz_t u, const mpz_t v)
- if (tu->_mp_size > 0)
- {
- mp_bitcnt_t shift;
- - shift = mpz_make_odd (tu, tu);
- + shift = mpz_make_odd (tu);
- mpz_mul_2exp (t0, t0, shift);
- mpz_mul_2exp (s0, s0, shift);
- power += shift;
- @@ -2778,7 +2908,7 @@ mpz_gcdext (mpz_t g, mpz_t s, mpz_t t, const mpz_t u, const mpz_t v)
- mpz_add (t0, t0, t1);
- mpz_add (s0, s0, s1);
-
- - shift = mpz_make_odd (tv, tv);
- + shift = mpz_make_odd (tv);
- mpz_mul_2exp (t1, t1, shift);
- mpz_mul_2exp (s1, s1, shift);
- }
- @@ -2788,7 +2918,7 @@ mpz_gcdext (mpz_t g, mpz_t s, mpz_t t, const mpz_t u, const mpz_t v)
- mpz_add (t1, t0, t1);
- mpz_add (s1, s0, s1);
-
- - shift = mpz_make_odd (tu, tu);
- + shift = mpz_make_odd (tu);
- mpz_mul_2exp (t0, t0, shift);
- mpz_mul_2exp (s0, s0, shift);
- }
- @@ -2926,12 +3056,16 @@ mpz_pow_ui (mpz_t r, const mpz_t b, unsigned long e)
- mpz_t tr;
- mpz_init_set_ui (tr, 1);
-
- - for (bit = GMP_ULONG_HIGHBIT; bit > 0; bit >>= 1)
- + bit = GMP_ULONG_HIGHBIT;
- + do
- {
- mpz_mul (tr, tr, tr);
- if (e & bit)
- mpz_mul (tr, tr, b);
- + bit >>= 1;
- }
- + while (bit > 0);
- +
- mpz_swap (r, tr);
- mpz_clear (tr);
- }
- @@ -2987,7 +3121,7 @@ mpz_powm (mpz_t r, const mpz_t b, const mpz_t e, const mpz_t m)
- if (e->_mp_size < 0)
- {
- if (!mpz_invert (base, b, m))
- - gmp_die ("mpz_powm: Negative exponent and non-invertibe base.");
- + gmp_die ("mpz_powm: Negative exponent and non-invertible base.");
- }
- else
- {
- @@ -3019,7 +3153,8 @@ mpz_powm (mpz_t r, const mpz_t b, const mpz_t e, const mpz_t m)
- mp_limb_t w = e->_mp_d[en];
- mp_limb_t bit;
-
- - for (bit = GMP_LIMB_HIGHBIT; bit > 0; bit >>= 1)
- + bit = GMP_LIMB_HIGHBIT;
- + do
- {
- mpz_mul (tr, tr, tr);
- if (w & bit)
- @@ -3029,7 +3164,9 @@ mpz_powm (mpz_t r, const mpz_t b, const mpz_t e, const mpz_t m)
- mpn_div_qr_preinv (NULL, tr->_mp_d, tr->_mp_size, mp, mn, &minv);
- tr->_mp_size = mpn_normalized_size (tr->_mp_d, mn);
- }
- + bit >>= 1;
- }
- + while (bit > 0);
- }
-
- /* Final reduction */
- @@ -3064,21 +3201,26 @@ mpz_rootrem (mpz_t x, mpz_t r, const mpz_t y, unsigned long z)
- mpz_t t, u;
-
- sgn = y->_mp_size < 0;
- - if (sgn && (z & 1) == 0)
- + if ((~z & sgn) != 0)
- gmp_die ("mpz_rootrem: Negative argument, with even root.");
- if (z == 0)
- gmp_die ("mpz_rootrem: Zeroth root.");
-
- if (mpz_cmpabs_ui (y, 1) <= 0) {
- - mpz_set (x, y);
- + if (x)
- + mpz_set (x, y);
- if (r)
- r->_mp_size = 0;
- return;
- }
-
- - mpz_init (t);
- mpz_init (u);
- - mpz_setbit (t, mpz_sizeinbase (y, 2) / z + 1);
- + {
- + mp_bitcnt_t tb;
- + tb = mpz_sizeinbase (y, 2) / z + 1;
- + mpz_init2 (t, tb);
- + mpz_setbit (t, tb);
- + }
-
- if (z == 2) /* simplify sqrt loop: z-1 == 1 */
- do {
- @@ -3110,7 +3252,8 @@ mpz_rootrem (mpz_t x, mpz_t r, const mpz_t y, unsigned long z)
- mpz_pow_ui (t, u, z);
- mpz_sub (r, y, t);
- }
- - mpz_swap (x, u);
- + if (x)
- + mpz_swap (x, u);
- mpz_clear (u);
- mpz_clear (t);
- }
- @@ -3142,19 +3285,56 @@ mpz_sqrt (mpz_t s, const mpz_t u)
- mpz_rootrem (s, NULL, u, 2);
- }
-
- +int
- +mpz_perfect_square_p (const mpz_t u)
- +{
- + if (u->_mp_size <= 0)
- + return (u->_mp_size == 0);
- + else
- + return mpz_root (NULL, u, 2);
- +}
- +
- +int
- +mpn_perfect_square_p (mp_srcptr p, mp_size_t n)
- +{
- + mpz_t t;
- +
- + assert (n > 0);
- + assert (p [n-1] != 0);
- + return mpz_root (NULL, mpz_roinit_n (t, p, n), 2);
- +}
- +
- +mp_size_t
- +mpn_sqrtrem (mp_ptr sp, mp_ptr rp, mp_srcptr p, mp_size_t n)
- +{
- + mpz_t s, r, u;
- + mp_size_t res;
- +
- + assert (n > 0);
- + assert (p [n-1] != 0);
- +
- + mpz_init (r);
- + mpz_init (s);
- + mpz_rootrem (s, r, mpz_roinit_n (u, p, n), 2);
- +
- + assert (s->_mp_size == (n+1)/2);
- + mpn_copyd (sp, s->_mp_d, s->_mp_size);
- + mpz_clear (s);
- + res = r->_mp_size;
- + if (rp)
- + mpn_copyd (rp, r->_mp_d, res);
- + mpz_clear (r);
- + return res;
- +}
-
- /* Combinatorics */
-
- void
- mpz_fac_ui (mpz_t x, unsigned long n)
- {
- - if (n < 2) {
- - mpz_set_ui (x, 1);
- - return;
- - }
- - mpz_set_ui (x, n);
- - for (;--n > 1;)
- - mpz_mul_ui (x, x, n);
- + mpz_set_ui (x, n + (n == 0));
- + for (;n > 2;)
- + mpz_mul_ui (x, x, --n);
- }
-
- void
- @@ -3162,25 +3342,120 @@ mpz_bin_uiui (mpz_t r, unsigned long n, unsigned long k)
- {
- mpz_t t;
-
- - if (k > n) {
- - r->_mp_size = 0;
- - return;
- - }
- - mpz_fac_ui (r, n);
- + mpz_set_ui (r, k <= n);
- +
- + if (k > (n >> 1))
- + k = (k <= n) ? n - k : 0;
- +
- mpz_init (t);
- mpz_fac_ui (t, k);
- - mpz_divexact (r, r, t);
- - mpz_fac_ui (t, n - k);
- +
- + for (; k > 0; k--)
- + mpz_mul_ui (r, r, n--);
- +
- mpz_divexact (r, r, t);
- mpz_clear (t);
- }
-
-
- +/* Primality testing */
- +static int
- +gmp_millerrabin (const mpz_t n, const mpz_t nm1, mpz_t y,
- + const mpz_t q, mp_bitcnt_t k)
- +{
- + mp_bitcnt_t i;
- +
- + /* Caller must initialize y to the base. */
- + mpz_powm (y, y, q, n);
- +
- + if (mpz_cmp_ui (y, 1) == 0 || mpz_cmp (y, nm1) == 0)
- + return 1;
- +
- + for (i = 1; i < k; i++)
- + {
- + mpz_powm_ui (y, y, 2, n);
- + if (mpz_cmp (y, nm1) == 0)
- + return 1;
- + if (mpz_cmp_ui (y, 1) == 0)
- + return 0;
- + }
- + return 0;
- +}
- +
- +/* This product is 0xc0cfd797, and fits in 32 bits. */
- +#define GMP_PRIME_PRODUCT \
- + (3UL*5UL*7UL*11UL*13UL*17UL*19UL*23UL*29UL)
- +
- +/* Bit (p+1)/2 is set, for each odd prime <= 61 */
- +#define GMP_PRIME_MASK 0xc96996dcUL
- +
- +int
- +mpz_probab_prime_p (const mpz_t n, int reps)
- +{
- + mpz_t nm1;
- + mpz_t q;
- + mpz_t y;
- + mp_bitcnt_t k;
- + int is_prime;
- + int j;
- +
- + /* Note that we use the absolute value of n only, for compatibility
- + with the real GMP. */
- + if (mpz_even_p (n))
- + return (mpz_cmpabs_ui (n, 2) == 0) ? 2 : 0;
- +
- + /* Above test excludes n == 0 */
- + assert (n->_mp_size != 0);
- +
- + if (mpz_cmpabs_ui (n, 64) < 0)
- + return (GMP_PRIME_MASK >> (n->_mp_d[0] >> 1)) & 2;
- +
- + if (mpz_gcd_ui (NULL, n, GMP_PRIME_PRODUCT) != 1)
- + return 0;
- +
- + /* All prime factors are >= 31. */
- + if (mpz_cmpabs_ui (n, 31*31) < 0)
- + return 2;
- +
- + /* Use Miller-Rabin, with a deterministic sequence of bases, a[j] =
- + j^2 + j + 41 using Euler's polynomial. We potentially stop early,
- + if a[j] >= n - 1. Since n >= 31*31, this can happen only if reps >
- + 30 (a[30] == 971 > 31*31 == 961). */
- +
- + mpz_init (nm1);
- + mpz_init (q);
- + mpz_init (y);
- +
- + /* Find q and k, where q is odd and n = 1 + 2**k * q. */
- + mpz_abs (nm1, n);
- + mpz_sub_ui (nm1, nm1, 1);
- + k = mpz_scan1 (nm1, 0);
- + mpz_tdiv_q_2exp (q, nm1, k);
- +
- + for (j = 0, is_prime = 1; is_prime && j < reps; j++)
- + {
- + mpz_set_ui (y, (unsigned long) j*j+j+41);
- + if (mpz_cmp (y, nm1) >= 0)
- + {
- + /* Don't try any further bases. */
- + assert (j >= 30);
- + break;
- + }
- + is_prime &= gmp_millerrabin (n, nm1, y, q, k);
- + }
- + mpz_clear (nm1);
- + mpz_clear (q);
- + mpz_clear (y);
- +
- + return is_prime;
- +}
- +
- +
- /* Logical operations and bit manipulation. */
-
- /* Numbers are treated as if represented in two's complement (and
- infinitely sign extended). For a negative values we get the two's
- - complement from -x = ~x + 1, where ~ is bitwise complementt.
- + complement from -x = ~x + 1, where ~ is bitwise complement.
- Negation transforms
-
- xxxx10...0
- @@ -3374,7 +3649,8 @@ mpz_and (mpz_t r, const mpz_t u, const mpz_t v)
- up = u->_mp_d;
- vp = v->_mp_d;
-
- - for (i = 0; i < vn; i++)
- + i = 0;
- + do
- {
- ul = (up[i] ^ ux) + uc;
- uc = ul < uc;
- @@ -3386,6 +3662,7 @@ mpz_and (mpz_t r, const mpz_t u, const mpz_t v)
- rc = rl < rc;
- rp[i] = rl;
- }
- + while (++i < vn);
- assert (vc == 0);
-
- for (; i < rn; i++)
- @@ -3445,7 +3722,8 @@ mpz_ior (mpz_t r, const mpz_t u, const mpz_t v)
- up = u->_mp_d;
- vp = v->_mp_d;
-
- - for (i = 0; i < vn; i++)
- + i = 0;
- + do
- {
- ul = (up[i] ^ ux) + uc;
- uc = ul < uc;
- @@ -3457,6 +3735,7 @@ mpz_ior (mpz_t r, const mpz_t u, const mpz_t v)
- rc = rl < rc;
- rp[i] = rl;
- }
- + while (++i < vn);
- assert (vc == 0);
-
- for (; i < rn; i++)
- @@ -3512,7 +3791,8 @@ mpz_xor (mpz_t r, const mpz_t u, const mpz_t v)
- up = u->_mp_d;
- vp = v->_mp_d;
-
- - for (i = 0; i < vn; i++)
- + i = 0;
- + do
- {
- ul = (up[i] ^ ux) + uc;
- uc = ul < uc;
- @@ -3524,6 +3804,7 @@ mpz_xor (mpz_t r, const mpz_t u, const mpz_t v)
- rc = rl < rc;
- rp[i] = rl;
- }
- + while (++i < vn);
- assert (vc == 0);
-
- for (; i < un; i++)
- @@ -3561,20 +3842,28 @@ gmp_popcount_limb (mp_limb_t x)
- }
-
- mp_bitcnt_t
- -mpz_popcount (const mpz_t u)
- +mpn_popcount (mp_srcptr p, mp_size_t n)
- {
- - mp_size_t un, i;
- + mp_size_t i;
- mp_bitcnt_t c;
-
- + for (c = 0, i = 0; i < n; i++)
- + c += gmp_popcount_limb (p[i]);
- +
- + return c;
- +}
- +
- +mp_bitcnt_t
- +mpz_popcount (const mpz_t u)
- +{
- + mp_size_t un;
- +
- un = u->_mp_size;
-
- if (un < 0)
- return ~(mp_bitcnt_t) 0;
-
- - for (c = 0, i = 0; i < un; i++)
- - c += gmp_popcount_limb (u->_mp_d[i]);
- -
- - return c;
- + return mpn_popcount (u->_mp_d, un);
- }
-
- mp_bitcnt_t
- @@ -3591,16 +3880,13 @@ mpz_hamdist (const mpz_t u, const mpz_t v)
- if ( (un ^ vn) < 0)
- return ~(mp_bitcnt_t) 0;
-
- - if (un < 0)
- + comp = - (uc = vc = (un < 0));
- + if (uc)
- {
- assert (vn < 0);
- un = -un;
- vn = -vn;
- - uc = vc = 1;
- - comp = - (mp_limb_t) 1;
- }
- - else
- - uc = vc = comp = 0;
-
- up = u->_mp_d;
- vp = v->_mp_d;
- @@ -3636,10 +3922,8 @@ mpz_scan1 (const mpz_t u, mp_bitcnt_t starting_bit)
- {
- mp_ptr up;
- mp_size_t us, un, i;
- - mp_limb_t limb, ux, uc;
- - unsigned cnt;
- + mp_limb_t limb, ux;
-
- - up = u->_mp_d;
- us = u->_mp_size;
- un = GMP_ABS (us);
- i = starting_bit / GMP_LIMB_BITS;
- @@ -3649,36 +3933,24 @@ mpz_scan1 (const mpz_t u, mp_bitcnt_t starting_bit)
- if (i >= un)
- return (us >= 0 ? ~(mp_bitcnt_t) 0 : starting_bit);
-
- - if (us < 0)
- - {
- - ux = GMP_LIMB_MAX;
- - uc = mpn_zero_p (up, i);
- - }
- - else
- - ux = uc = 0;
- -
- - limb = (ux ^ up[i]) + uc;
- - uc = limb < uc;
- -
- - /* Mask to 0 all bits before starting_bit, thus ignoring them. */
- - limb &= (GMP_LIMB_MAX << (starting_bit % GMP_LIMB_BITS));
- + up = u->_mp_d;
- + ux = 0;
- + limb = up[i];
-
- - while (limb == 0)
- + if (starting_bit != 0)
- {
- - i++;
- - if (i == un)
- + if (us < 0)
- {
- - assert (uc == 0);
- - /* For the u > 0 case, this can happen only for the first
- - masked limb. For the u < 0 case, it happens when the
- - highest limbs of the absolute value are all ones. */
- - return (us >= 0 ? ~(mp_bitcnt_t) 0 : un * GMP_LIMB_BITS);
- + ux = mpn_zero_p (up, i);
- + limb = ~ limb + ux;
- + ux = - (mp_limb_t) (limb >= ux);
- }
- - limb = (ux ^ up[i]) + uc;
- - uc = limb < uc;
- +
- + /* Mask to 0 all bits before starting_bit, thus ignoring them. */
- + limb &= (GMP_LIMB_MAX << (starting_bit % GMP_LIMB_BITS));
- }
- - gmp_ctz (cnt, limb);
- - return (mp_bitcnt_t) i * GMP_LIMB_BITS + cnt;
- +
- + return mpn_common_scan (limb, i, up, un, ux);
- }
-
- mp_bitcnt_t
- @@ -3686,46 +3958,28 @@ mpz_scan0 (const mpz_t u, mp_bitcnt_t starting_bit)
- {
- mp_ptr up;
- mp_size_t us, un, i;
- - mp_limb_t limb, ux, uc;
- - unsigned cnt;
- + mp_limb_t limb, ux;
-
- - up = u->_mp_d;
- us = u->_mp_size;
- + ux = - (mp_limb_t) (us >= 0);
- un = GMP_ABS (us);
- i = starting_bit / GMP_LIMB_BITS;
-
- /* When past end, there's an immediate 0 bit for u>=0, or no 0 bits for
- u<0. Notice this test picks up all cases of u==0 too. */
- if (i >= un)
- - return (us >= 0 ? starting_bit : ~(mp_bitcnt_t) 0);
- + return (ux ? starting_bit : ~(mp_bitcnt_t) 0);
-
- - if (us < 0)
- - {
- - ux = GMP_LIMB_MAX;
- - uc = mpn_zero_p (up, i);
- - }
- - else
- - ux = uc = 0;
- + up = u->_mp_d;
- + limb = up[i] ^ ux;
-
- - limb = (ux ^ up[i]) + uc;
- - uc = limb < uc;
- + if (ux == 0)
- + limb -= mpn_zero_p (up, i); /* limb = ~(~limb + zero_p) */
-
- - /* Mask to 1 all bits before starting_bit, thus ignoring them. */
- - limb |= ((mp_limb_t) 1 << (starting_bit % GMP_LIMB_BITS)) - 1;
- + /* Mask all bits before starting_bit, thus ignoring them. */
- + limb &= (GMP_LIMB_MAX << (starting_bit % GMP_LIMB_BITS));
-
- - while (limb == GMP_LIMB_MAX)
- - {
- - i++;
- - if (i == un)
- - {
- - assert (uc == 0);
- - return (us >= 0 ? un * GMP_LIMB_BITS : ~(mp_bitcnt_t) 0);
- - }
- - limb = (ux ^ up[i]) + uc;
- - uc = limb < uc;
- - }
- - gmp_ctz (cnt, ~limb);
- - return (mp_bitcnt_t) i * GMP_LIMB_BITS + cnt;
- + return mpn_common_scan (limb, i, up, un, ux);
- }
-
-
- @@ -3771,11 +4025,15 @@ mpz_sizeinbase (const mpz_t u, int base)
- mpn_copyi (tp, up, un);
- mpn_div_qr_1_invert (&bi, base);
-
- - for (ndigits = 0; un > 0; ndigits++)
- + ndigits = 0;
- + do
- {
- + ndigits++;
- mpn_div_qr_1_preinv (tp, tp, un, &bi);
- un -= (tp[un-1] == 0);
- }
- + while (un > 0);
- +
- gmp_free (tp);
- return ndigits;
- }
- @@ -3852,7 +4110,6 @@ mpz_set_str (mpz_t r, const char *sp, int base)
- mp_size_t rn, alloc;
- mp_ptr rp;
- size_t sn;
- - size_t dn;
- int sign;
- unsigned char *dp;
-
- @@ -3861,13 +4118,8 @@ mpz_set_str (mpz_t r, const char *sp, int base)
- while (isspace( (unsigned char) *sp))
- sp++;
-
- - if (*sp == '-')
- - {
- - sign = 1;
- - sp++;
- - }
- - else
- - sign = 0;
- + sign = (*sp == '-');
- + sp += sign;
-
- if (base == 0)
- {
- @@ -3894,7 +4146,7 @@ mpz_set_str (mpz_t r, const char *sp, int base)
- sn = strlen (sp);
- dp = gmp_xalloc (sn + (sn == 0));
-
- - for (dn = 0; *sp; sp++)
- + for (sn = 0; *sp; sp++)
- {
- unsigned digit;
-
- @@ -3916,7 +4168,7 @@ mpz_set_str (mpz_t r, const char *sp, int base)
- return -1;
- }
-
- - dp[dn++] = digit;
- + dp[sn++] = digit;
- }
-
- bits = mpn_base_power_of_two_p (base);
- @@ -3925,7 +4177,7 @@ mpz_set_str (mpz_t r, const char *sp, int base)
- {
- alloc = (sn * bits + GMP_LIMB_BITS - 1) / GMP_LIMB_BITS;
- rp = MPZ_REALLOC (r, alloc);
- - rn = mpn_set_str_bits (rp, dp, dn, bits);
- + rn = mpn_set_str_bits (rp, dp, sn, bits);
- }
- else
- {
- @@ -3933,7 +4185,7 @@ mpz_set_str (mpz_t r, const char *sp, int base)
- mpn_get_base_info (&info, base);
- alloc = (sn + info.exp - 1) / info.exp;
- rp = MPZ_REALLOC (r, alloc);
- - rn = mpn_set_str_other (rp, dp, dn, base, &info);
- + rn = mpn_set_str_other (rp, dp, sn, base, &info);
- }
- assert (rn <= alloc);
- gmp_free (dp);
- @@ -3967,14 +4219,9 @@ mpz_out_str (FILE *stream, int base, const mpz_t x)
- static int
- gmp_detect_endian (void)
- {
- - static const int i = 1;
- + static const int i = 2;
- const unsigned char *p = (const unsigned char *) &i;
- - if (*p == 1)
- - /* Little endian */
- - return -1;
- - else
- - /* Big endian */
- - return 1;
- + return 1 - *p;
- }
-
- /* Import and export. Does not support nails. */
- @@ -4037,29 +4284,22 @@ mpz_import (mpz_t r, size_t count, int order, size_t size, int endian,
- }
- }
- }
- - if (bytes > 0)
- + assert (i + (bytes > 0) == rn);
- + if (limb != 0)
- rp[i++] = limb;
- - assert (i == rn);
- + else
- + i = mpn_normalized_size (rp, i);
-
- - r->_mp_size = mpn_normalized_size (rp, i);
- + r->_mp_size = i;
- }
-
- void *
- mpz_export (void *r, size_t *countp, int order, size_t size, int endian,
- size_t nails, const mpz_t u)
- {
- - unsigned char *p;
- - ptrdiff_t word_step;
- - size_t count, k;
- + size_t count;
- mp_size_t un;
-
- - /* The current (partial) limb. */
- - mp_limb_t limb;
- - /* The number of bytes left to to in this limb. */
- - size_t bytes;
- - /* The index where the limb was read. */
- - mp_size_t i;
- -
- if (nails != 0)
- gmp_die ("mpz_import: Nails not supported.");
-
- @@ -4067,62 +4307,74 @@ mpz_export (void *r, size_t *countp, int order, size_t size, int endian,
- assert (endian >= -1 && endian <= 1);
- assert (size > 0 || u->_mp_size == 0);
-
- - un = GMP_ABS (u->_mp_size);
- - if (un == 0)
- - {
- - if (countp)
- - *countp = 0;
- - return r;
- - }
- + un = u->_mp_size;
- + count = 0;
- + if (un != 0)
- + {
- + size_t k;
- + unsigned char *p;
- + ptrdiff_t word_step;
- + /* The current (partial) limb. */
- + mp_limb_t limb;
- + /* The number of bytes left to to in this limb. */
- + size_t bytes;
- + /* The index where the limb was read. */
- + mp_size_t i;
-
- - /* Count bytes in top limb. */
- - for (limb = u->_mp_d[un-1], k = 0; limb > 0; k++, limb >>= CHAR_BIT)
- - ;
- + un = GMP_ABS (un);
-
- - assert (k > 0);
- + /* Count bytes in top limb. */
- + limb = u->_mp_d[un-1];
- + assert (limb != 0);
-
- - count = (k + (un-1) * sizeof (mp_limb_t) + size - 1) / size;
- + k = 0;
- + do {
- + k++; limb >>= CHAR_BIT;
- + } while (limb != 0);
-
- - if (!r)
- - r = gmp_xalloc (count * size);
- + count = (k + (un-1) * sizeof (mp_limb_t) + size - 1) / size;
-
- - if (endian == 0)
- - endian = gmp_detect_endian ();
- + if (!r)
- + r = gmp_xalloc (count * size);
-
- - p = (unsigned char *) r;
- + if (endian == 0)
- + endian = gmp_detect_endian ();
-
- - word_step = (order != endian) ? 2 * size : 0;
- + p = (unsigned char *) r;
-
- - /* Process bytes from the least significant end, so point p at the
- - least significant word. */
- - if (order == 1)
- - {
- - p += size * (count - 1);
- - word_step = - word_step;
- - }
- + word_step = (order != endian) ? 2 * size : 0;
-
- - /* And at least significant byte of that word. */
- - if (endian == 1)
- - p += (size - 1);
- + /* Process bytes from the least significant end, so point p at the
- + least significant word. */
- + if (order == 1)
- + {
- + p += size * (count - 1);
- + word_step = - word_step;
- + }
-
- - for (bytes = 0, i = 0, k = 0; k < count; k++, p += word_step)
- - {
- - size_t j;
- - for (j = 0; j < size; j++, p -= (ptrdiff_t) endian)
- - {
- - if (bytes == 0)
- - {
- - if (i < un)
- - limb = u->_mp_d[i++];
- - bytes = sizeof (mp_limb_t);
- - }
- - *p = limb;
- - limb >>= CHAR_BIT;
- - bytes--;
- - }
- - }
- - assert (i == un);
- - assert (k == count);
- + /* And at least significant byte of that word. */
- + if (endian == 1)
- + p += (size - 1);
- +
- + for (bytes = 0, i = 0, k = 0; k < count; k++, p += word_step)
- + {
- + size_t j;
- + for (j = 0; j < size; j++, p -= (ptrdiff_t) endian)
- + {
- + if (bytes == 0)
- + {
- + if (i < un)
- + limb = u->_mp_d[i++];
- + bytes = sizeof (mp_limb_t);
- + }
- + *p = limb;
- + limb >>= CHAR_BIT;
- + bytes--;
- + }
- + }
- + assert (i == un);
- + assert (k == count);
- + }
-
- if (countp)
- *countp = count;
- diff --git a/mini-gmp.h b/mini-gmp.h
- index 8c94ca2..d8f691f 100644
- --- a/mini-gmp.h
- +++ b/mini-gmp.h
- @@ -1,21 +1,32 @@
- /* mini-gmp, a minimalistic implementation of a GNU GMP subset.
-
- -Copyright 2011, 2012, 2013 Free Software Foundation, Inc.
- +Copyright 2011-2014 Free Software Foundation, Inc.
-
- This file is part of the GNU MP Library.
-
- The GNU MP Library 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.
- +it under the terms of either:
- +
- + * 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.
- +
- +or
- +
- + * the GNU General Public License as published by the Free Software
- + Foundation; either version 2 of the License, or (at your option) any
- + later version.
- +
- +or both in parallel, as here.
-
- The GNU MP Library 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.
- +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
- +for more details.
-
- -You should have received a copy of the GNU Lesser General Public License
- -along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
- +You should have received copies of the GNU General Public License and the
- +GNU Lesser General Public License along with the GNU MP Library. If not,
- +see https://www.gnu.org/licenses/. */
-
- /* About mini-gmp: This is a minimal implementation of a subset of the
- GMP interface. It is intended for inclusion into applications which
- @@ -64,8 +75,11 @@ typedef __mpz_struct mpz_t[1];
- typedef __mpz_struct *mpz_ptr;
- typedef const __mpz_struct *mpz_srcptr;
-
- +extern const int mp_bits_per_limb;
- +
- void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t);
- void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t);
- +void mpn_zero (mp_ptr, mp_size_t);
-
- int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t);
-
- @@ -84,10 +98,17 @@ mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
- mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
- void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
- void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t);
- +int mpn_perfect_square_p (mp_srcptr, mp_size_t);
- +mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t);
-
- mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
- mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
-
- +mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t);
- +mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t);
- +
- +mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t);
- +
- mp_limb_t mpn_invert_3by2 (mp_limb_t, mp_limb_t);
- #define mpn_invert_limb(x) mpn_invert_3by2 ((x), 0)
-
- @@ -124,6 +145,10 @@ void mpz_mul_si (mpz_t, const mpz_t, long int);
- void mpz_mul_ui (mpz_t, const mpz_t, unsigned long int);
- void mpz_mul (mpz_t, const mpz_t, const mpz_t);
- void mpz_mul_2exp (mpz_t, const mpz_t, mp_bitcnt_t);
- +void mpz_addmul_ui (mpz_t, const mpz_t, unsigned long int);
- +void mpz_addmul (mpz_t, const mpz_t, const mpz_t);
- +void mpz_submul_ui (mpz_t, const mpz_t, unsigned long int);
- +void mpz_submul (mpz_t, const mpz_t, const mpz_t);
-
- void mpz_cdiv_qr (mpz_t, mpz_t, const mpz_t, const mpz_t);
- void mpz_fdiv_qr (mpz_t, mpz_t, const mpz_t, const mpz_t);
- @@ -147,6 +172,7 @@ void mpz_mod (mpz_t, const mpz_t, const mpz_t);
- void mpz_divexact (mpz_t, const mpz_t, const mpz_t);
-
- int mpz_divisible_p (const mpz_t, const mpz_t);
- +int mpz_congruent_p (const mpz_t, const mpz_t, const mpz_t);
-
- unsigned long mpz_cdiv_qr_ui (mpz_t, mpz_t, const mpz_t, unsigned long);
- unsigned long mpz_fdiv_qr_ui (mpz_t, mpz_t, const mpz_t, unsigned long);
- @@ -176,6 +202,7 @@ int mpz_invert (mpz_t, const mpz_t, const mpz_t);
-
- void mpz_sqrtrem (mpz_t, mpz_t, const mpz_t);
- void mpz_sqrt (mpz_t, const mpz_t);
- +int mpz_perfect_square_p (const mpz_t);
-
- void mpz_pow_ui (mpz_t, const mpz_t, unsigned long);
- void mpz_ui_pow_ui (mpz_t, unsigned long, unsigned long);
- @@ -188,6 +215,9 @@ int mpz_root (mpz_t, const mpz_t, unsigned long);
- void mpz_fac_ui (mpz_t, unsigned long);
- void mpz_bin_uiui (mpz_t, unsigned long, unsigned long);
-
- +int
- +mpz_probab_prime_p (const mpz_t, int);
- +
- int mpz_tstbit (const mpz_t, mp_bitcnt_t);
- void mpz_setbit (mpz_t, mp_bitcnt_t);
- void mpz_clrbit (mpz_t, mp_bitcnt_t);
- @@ -211,6 +241,15 @@ double mpz_get_d (const mpz_t);
- size_t mpz_size (const mpz_t);
- mp_limb_t mpz_getlimbn (const mpz_t, mp_size_t);
-
- +void mpz_realloc2 (mpz_t, mp_bitcnt_t);
- +mp_srcptr mpz_limbs_read (mpz_srcptr);
- +mp_ptr mpz_limbs_modify (mpz_t, mp_size_t);
- +mp_ptr mpz_limbs_write (mpz_t, mp_size_t);
- +void mpz_limbs_finish (mpz_t, mp_size_t);
- +mpz_srcptr mpz_roinit_n (mpz_t, mp_srcptr, mp_size_t);
- +
- +#define MPZ_ROINIT_N(xp, xs) {{0, (xs),(xp) }}
- +
- void mpz_set_si (mpz_t, signed long int);
- void mpz_set_ui (mpz_t, unsigned long int);
- void mpz_set (mpz_t, const mpz_t);
- --
- 1.9.2
-
|