5142e91b2d
Signed-off-by: Steven Barth <steven@midlink.org> SVN-Revision: 41263
1739 lines
42 KiB
Diff
1739 lines
42 KiB
Diff
From 57700c26d73cf7fa6f5cfaec1145eccf388acab9 Mon Sep 17 00:00:00 2001
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From: Nikos Mavrogiannopoulos <nmav@gnutls.org>
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Date: Sun, 9 Mar 2014 11:27:42 +0100
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Subject: [PATCH 1/5] Updated mini-gmp
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---
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mini-gmp.c | 890 +++++++++++++++++++++++++++++++++++++++----------------------
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mini-gmp.h | 55 +++-
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2 files changed, 618 insertions(+), 327 deletions(-)
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diff --git a/mini-gmp.c b/mini-gmp.c
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index 8b6f070..766df30 100644
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--- a/mini-gmp.c
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+++ b/mini-gmp.c
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@@ -2,24 +2,33 @@
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Contributed to the GNU project by Niels Möller
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-Copyright 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2001,
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-2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013
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-Free Software Foundation, Inc.
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+Copyright 1991-1997, 1999-2014 Free Software Foundation, Inc.
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This file is part of the GNU MP Library.
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The GNU MP Library is free software; you can redistribute it and/or modify
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-it under the terms of the GNU Lesser General Public License as published by
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-the Free Software Foundation; either version 3 of the License, or (at your
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-option) any later version.
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+it under the terms of either:
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+
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+ * the GNU Lesser General Public License as published by the Free
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+ Software Foundation; either version 3 of the License, or (at your
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+ option) any later version.
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+
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+or
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+
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+ * the GNU General Public License as published by the Free Software
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+ Foundation; either version 2 of the License, or (at your option) any
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+ later version.
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+
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+or both in parallel, as here.
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The GNU MP Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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-or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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-License for more details.
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+or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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+for more details.
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-You should have received a copy of the GNU Lesser General Public License
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-along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
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+You should have received copies of the GNU General Public License and the
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+GNU Lesser General Public License along with the GNU MP Library. If not,
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+see https://www.gnu.org/licenses/. */
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/* NOTE: All functions in this file which are not declared in
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mini-gmp.h are internal, and are not intended to be compatible
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@@ -222,11 +231,13 @@ along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
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} while (0)
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#define MPZ_SRCPTR_SWAP(x, y) \
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do { \
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- mpz_srcptr __mpz_srcptr_swap__tmp = (x); \
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+ mpz_srcptr __mpz_srcptr_swap__tmp = (x); \
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(x) = (y); \
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(y) = __mpz_srcptr_swap__tmp; \
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} while (0)
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+const int mp_bits_per_limb = GMP_LIMB_BITS;
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+
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/* Memory allocation and other helper functions. */
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static void
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@@ -342,12 +353,10 @@ mpn_copyd (mp_ptr d, mp_srcptr s, mp_size_t n)
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int
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mpn_cmp (mp_srcptr ap, mp_srcptr bp, mp_size_t n)
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{
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- for (; n > 0; n--)
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+ while (--n >= 0)
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{
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- if (ap[n-1] < bp[n-1])
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- return -1;
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- else if (ap[n-1] > bp[n-1])
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- return 1;
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+ if (ap[n] != bp[n])
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+ return ap[n] > bp[n] ? 1 : -1;
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}
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return 0;
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}
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@@ -355,10 +364,8 @@ mpn_cmp (mp_srcptr ap, mp_srcptr bp, mp_size_t n)
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static int
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mpn_cmp4 (mp_srcptr ap, mp_size_t an, mp_srcptr bp, mp_size_t bn)
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{
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- if (an > bn)
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- return 1;
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- else if (an < bn)
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- return -1;
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+ if (an != bn)
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+ return an < bn ? -1 : 1;
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else
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return mpn_cmp (ap, bp, an);
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}
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@@ -373,20 +380,31 @@ mpn_normalized_size (mp_srcptr xp, mp_size_t n)
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#define mpn_zero_p(xp, n) (mpn_normalized_size ((xp), (n)) == 0)
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+void
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+mpn_zero (mp_ptr rp, mp_size_t n)
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+{
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+ mp_size_t i;
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+
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+ for (i = 0; i < n; i++)
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+ rp[i] = 0;
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+}
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+
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mp_limb_t
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mpn_add_1 (mp_ptr rp, mp_srcptr ap, mp_size_t n, mp_limb_t b)
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{
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mp_size_t i;
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assert (n > 0);
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-
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- for (i = 0; i < n; i++)
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+ i = 0;
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+ do
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{
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mp_limb_t r = ap[i] + b;
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/* Carry out */
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b = (r < b);
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rp[i] = r;
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}
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+ while (++i < n);
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+
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return b;
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}
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@@ -429,7 +447,8 @@ mpn_sub_1 (mp_ptr rp, mp_srcptr ap, mp_size_t n, mp_limb_t b)
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assert (n > 0);
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- for (i = 0; i < n; i++)
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+ i = 0;
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+ do
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{
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mp_limb_t a = ap[i];
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/* Carry out */
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@@ -437,6 +456,8 @@ mpn_sub_1 (mp_ptr rp, mp_srcptr ap, mp_size_t n, mp_limb_t b)
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rp[i] = a - b;
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b = cy;
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}
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+ while (++i < n);
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+
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return b;
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}
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@@ -602,7 +623,7 @@ mpn_lshift (mp_ptr rp, mp_srcptr up, mp_size_t n, unsigned int cnt)
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retval = low_limb >> tnc;
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high_limb = (low_limb << cnt);
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- for (i = n - 1; i != 0; i--)
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+ for (i = n; --i != 0;)
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{
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low_limb = *--up;
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*--rp = high_limb | (low_limb >> tnc);
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@@ -630,7 +651,7 @@ mpn_rshift (mp_ptr rp, mp_srcptr up, mp_size_t n, unsigned int cnt)
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retval = (high_limb << tnc);
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low_limb = high_limb >> cnt;
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- for (i = n - 1; i != 0; i--)
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+ for (i = n; --i != 0;)
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{
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high_limb = *up++;
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*rp++ = low_limb | (high_limb << tnc);
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@@ -641,6 +662,46 @@ mpn_rshift (mp_ptr rp, mp_srcptr up, mp_size_t n, unsigned int cnt)
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return retval;
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}
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+static mp_bitcnt_t
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+mpn_common_scan (mp_limb_t limb, mp_size_t i, mp_srcptr up, mp_size_t un,
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+ mp_limb_t ux)
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+{
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+ unsigned cnt;
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+
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+ assert (ux == 0 || ux == GMP_LIMB_MAX);
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+ assert (0 <= i && i <= un );
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+
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+ while (limb == 0)
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+ {
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+ i++;
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+ if (i == un)
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+ return (ux == 0 ? ~(mp_bitcnt_t) 0 : un * GMP_LIMB_BITS);
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+ limb = ux ^ up[i];
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+ }
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+ gmp_ctz (cnt, limb);
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+ return (mp_bitcnt_t) i * GMP_LIMB_BITS + cnt;
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+}
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+
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+mp_bitcnt_t
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+mpn_scan1 (mp_srcptr ptr, mp_bitcnt_t bit)
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+{
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+ mp_size_t i;
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+ i = bit / GMP_LIMB_BITS;
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+
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+ return mpn_common_scan ( ptr[i] & (GMP_LIMB_MAX << (bit % GMP_LIMB_BITS)),
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+ i, ptr, i, 0);
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+}
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+
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+mp_bitcnt_t
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+mpn_scan0 (mp_srcptr ptr, mp_bitcnt_t bit)
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+{
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+ mp_size_t i;
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+ i = bit / GMP_LIMB_BITS;
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+
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+ return mpn_common_scan (~ptr[i] & (GMP_LIMB_MAX << (bit % GMP_LIMB_BITS)),
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+ i, ptr, i, GMP_LIMB_MAX);
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+}
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+
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/* MPN division interface. */
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mp_limb_t
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@@ -715,8 +776,7 @@ mpn_invert_3by2 (mp_limb_t u1, mp_limb_t u0)
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if (r < th)
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{
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m--;
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- if (r > u1 || (r == u1 && tl > u0))
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- m--;
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+ m -= ((r > u1) | ((r == u1) & (tl > u0)));
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}
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}
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@@ -836,14 +896,20 @@ mpn_div_qr_1 (mp_ptr qp, mp_srcptr np, mp_size_t nn, mp_limb_t d)
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assert (d > 0);
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/* Special case for powers of two. */
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- if (d > 1 && (d & (d-1)) == 0)
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+ if ((d & (d-1)) == 0)
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{
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- unsigned shift;
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mp_limb_t r = np[0] & (d-1);
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- gmp_ctz (shift, d);
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if (qp)
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- mpn_rshift (qp, np, nn, shift);
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-
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+ {
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+ if (d <= 1)
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+ mpn_copyi (qp, np, nn);
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+ else
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+ {
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+ unsigned shift;
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+ gmp_ctz (shift, d);
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+ mpn_rshift (qp, np, nn, shift);
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+ }
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+ }
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return r;
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}
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else
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@@ -880,7 +946,8 @@ mpn_div_qr_2_preinv (mp_ptr qp, mp_ptr rp, mp_srcptr np, mp_size_t nn,
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r0 = np[nn - 1];
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- for (i = nn - 2; i >= 0; i--)
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+ i = nn - 2;
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+ do
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{
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mp_limb_t n0, q;
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n0 = np[i];
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@@ -889,6 +956,7 @@ mpn_div_qr_2_preinv (mp_ptr qp, mp_ptr rp, mp_srcptr np, mp_size_t nn,
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if (qp)
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qp[i] = q;
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}
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+ while (--i >= 0);
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if (shift > 0)
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{
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@@ -930,18 +998,19 @@ mpn_div_qr_pi1 (mp_ptr qp,
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assert (dn > 2);
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assert (nn >= dn);
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- assert ((dp[dn-1] & GMP_LIMB_HIGHBIT) != 0);
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d1 = dp[dn - 1];
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d0 = dp[dn - 2];
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+ assert ((d1 & GMP_LIMB_HIGHBIT) != 0);
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/* Iteration variable is the index of the q limb.
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*
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* We divide <n1, np[dn-1+i], np[dn-2+i], np[dn-3+i],..., np[i]>
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* by <d1, d0, dp[dn-3], ..., dp[0] >
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*/
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- for (i = nn - dn; i >= 0; i--)
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+ i = nn - dn;
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+ do
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{
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mp_limb_t n0 = np[dn-1+i];
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@@ -973,6 +1042,7 @@ mpn_div_qr_pi1 (mp_ptr qp,
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if (qp)
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qp[i] = q;
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}
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+ while (--i >= 0);
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np[dn - 1] = n1;
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}
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@@ -994,7 +1064,9 @@ mpn_div_qr_preinv (mp_ptr qp, mp_ptr np, mp_size_t nn,
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mp_limb_t nh;
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unsigned shift;
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- assert (dp[dn-1] & GMP_LIMB_HIGHBIT);
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+ assert (inv->d1 == dp[dn-1]);
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+ assert (inv->d0 == dp[dn-2]);
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+ assert ((inv->d1 & GMP_LIMB_HIGHBIT) != 0);
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shift = inv->shift;
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if (shift > 0)
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@@ -1002,9 +1074,6 @@ mpn_div_qr_preinv (mp_ptr qp, mp_ptr np, mp_size_t nn,
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else
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nh = 0;
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- assert (inv->d1 == dp[dn-1]);
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- assert (inv->d0 == dp[dn-2]);
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-
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mpn_div_qr_pi1 (qp, np, nn, nh, dp, dn, inv->di);
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if (shift > 0)
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@@ -1238,15 +1307,14 @@ mpn_set_str_other (mp_ptr rp, const unsigned char *sp, size_t sn,
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{
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mp_size_t rn;
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mp_limb_t w;
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- unsigned first;
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unsigned k;
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size_t j;
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- first = 1 + (sn - 1) % info->exp;
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+ k = 1 + (sn - 1) % info->exp;
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j = 0;
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w = sp[j++];
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- for (k = 1; k < first; k++)
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+ for (; --k > 0; )
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w = w * b + sp[j++];
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rp[0] = w;
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@@ -1300,7 +1368,7 @@ mpz_init (mpz_t r)
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}
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/* The utility of this function is a bit limited, since many functions
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- assings the result variable using mpz_swap. */
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+ assigns the result variable using mpz_swap. */
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void
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mpz_init2 (mpz_t r, mp_bitcnt_t bits)
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{
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@@ -1422,7 +1490,7 @@ mpz_fits_ulong_p (const mpz_t u)
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{
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mp_size_t us = u->_mp_size;
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- return us == 0 || us == 1;
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+ return (us == (us > 0));
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}
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long int
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@@ -1459,6 +1527,48 @@ mpz_getlimbn (const mpz_t u, mp_size_t n)
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return 0;
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}
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+void
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+mpz_realloc2 (mpz_t x, mp_bitcnt_t n)
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+{
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+ mpz_realloc (x, 1 + (n - (n != 0)) / GMP_LIMB_BITS);
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+}
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+
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+mp_srcptr
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+mpz_limbs_read (mpz_srcptr x)
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+{
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+ return x->_mp_d;;
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+}
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+
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+mp_ptr
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+mpz_limbs_modify (mpz_t x, mp_size_t n)
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+{
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+ assert (n > 0);
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+ return MPZ_REALLOC (x, n);
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+}
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+
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+mp_ptr
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+mpz_limbs_write (mpz_t x, mp_size_t n)
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+{
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+ return mpz_limbs_modify (x, n);
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+}
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+
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+void
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+mpz_limbs_finish (mpz_t x, mp_size_t xs)
|
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+{
|
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+ mp_size_t xn;
|
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+ xn = mpn_normalized_size (x->_mp_d, GMP_ABS (xs));
|
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+ x->_mp_size = xs < 0 ? -xn : xn;
|
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+}
|
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+
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+mpz_srcptr
|
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+mpz_roinit_n (mpz_t x, mp_srcptr xp, mp_size_t xs)
|
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+{
|
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+ x->_mp_alloc = 0;
|
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+ x->_mp_d = (mp_ptr) xp;
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+ mpz_limbs_finish (x, xs);
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+ return x;
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+}
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+
|
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|
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/* Conversions and comparison to double. */
|
||
void
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@@ -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
|
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zero or infinity. */
|
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- if (x == 0.0 || x != x || x == x * 0.5)
|
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+ if (x != x || x == x * 0.5)
|
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{
|
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r->_mp_size = 0;
|
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return;
|
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}
|
||
|
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- if (x < 0.0)
|
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- {
|
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- x = - x;
|
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- sign = 1;
|
||
- }
|
||
- else
|
||
- sign = 0;
|
||
+ sign = x < 0.0 ;
|
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+ if (sign)
|
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+ x = - x;
|
||
|
||
if (x < 1.0)
|
||
{
|
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@@ -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; )
|
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+ 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
|
||
|