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authorKevin Ryde <user42@zip.com.au>2001-03-14 23:27:40 +0100
committerKevin Ryde <user42@zip.com.au>2001-03-14 23:27:40 +0100
commit95d98dfc07bd04667064b40aa9da72f5605e1cd8 (patch)
treef242926f3d4f141c146d04937f05a9b59bd791c5 /mpz/cong_2exp.c
parented34f9c4d0b64dc3081b98a10ccd07ac9536f58f (diff)
downloadgmp-95d98dfc07bd04667064b40aa9da72f5605e1cd8.tar.gz
* mpz/cong.c, mpz/cong_2exp.c, mpz/cong_ui.c: New files.
Diffstat (limited to 'mpz/cong_2exp.c')
-rw-r--r--mpz/cong_2exp.c147
1 files changed, 147 insertions, 0 deletions
diff --git a/mpz/cong_2exp.c b/mpz/cong_2exp.c
new file mode 100644
index 000000000..f0069b6b8
--- /dev/null
+++ b/mpz/cong_2exp.c
@@ -0,0 +1,147 @@
+/* mpz_congruent_2exp_p -- test congruence of mpz mod 2^n */
+
+/*
+Copyright 2001 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 2.1 of the License, or (at your
+option) any later version.
+
+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.
+
+You should have received a copy of the GNU Lesser General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA.
+*/
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+
+int
+mpz_congruent_2exp_p (mpz_srcptr a, mpz_srcptr c, unsigned long d)
+{
+ unsigned long i, dlimbs, dbits;
+ mp_ptr ap, cp;
+ mp_limb_t dmask, alimb, climb, sum;
+ int asize_signed, csize_signed, asize, csize;
+
+ if (ABSIZ(a) < ABSIZ(c))
+ MPZ_SRCPTR_SWAP (a, c);
+
+ dlimbs = d / BITS_PER_MP_LIMB;
+ dbits = d % BITS_PER_MP_LIMB;
+ dmask = (CNST_LIMB(1) << dbits) - 1;
+
+ ap = PTR(a);
+ cp = PTR(c);
+
+ asize_signed = SIZ(a);
+ asize = ABS(asize_signed);
+
+ csize_signed = SIZ(c);
+ csize = ABS(csize_signed);
+
+ if (csize_signed == 0)
+ goto a_zeros;
+
+ if ((asize_signed ^ csize_signed) >= 0)
+ {
+ /* same signs, direct comparison */
+
+ /* a==c for limbs in common */
+ if (mpn_cmp (ap, cp, MIN (csize, dlimbs)) != 0)
+ return 0;
+
+ /* if that's all of dlimbs, then a==c for remaining bits */
+ if (csize > dlimbs)
+ return ((ap[dlimbs]-cp[dlimbs]) & dmask) == 0;
+
+ a_zeros:
+ /* a remains, need all zero bits */
+
+ /* if d covers all of a and c, then must be exactly equal */
+ if (asize <= dlimbs)
+ return asize == csize;
+
+ /* whole limbs zero */
+ for (i = csize; i < dlimbs; i++)
+ if (ap[i] != 0)
+ return 0;
+
+ /* partial limb zero */
+ return (ap[dlimbs] & dmask) == 0;
+ }
+ else
+ {
+ /* different signs, negated comparison */
+
+ /* common low zero limbs, stopping at first non-zeros, which must
+ match twos complement */
+ i = 0;
+ for (;;)
+ {
+ ASSERT (i < csize); /* always have a non-zero limb on c */
+ alimb = ap[i];
+ climb = cp[i];
+ sum = alimb + climb;
+
+ if (i >= dlimbs)
+ return (sum & dmask) == 0;
+ i++;
+
+ /* require both zero, or first non-zeros as twos-complements */
+ if (sum != 0)
+ return 0;
+
+ if (alimb != 0)
+ break;
+ }
+
+ /* further limbs matching as ones-complement */
+ for (;;)
+ {
+ if (i >= csize)
+ break;
+
+ alimb = ap[i];
+ climb = cp[i];
+ sum = alimb + climb + 1;
+
+ if (i >= dlimbs)
+ return (sum & dmask) == 0;
+
+ if (sum != 0)
+ return 0;
+
+ i++;
+ }
+
+ /* no more c, so require all 1 bits in a */
+
+ if (asize < dlimbs)
+ return 0; /* not enough a */
+
+ /* whole limbs */
+ for ( ; i < dlimbs; i++)
+ if (ap[i] + 1 != 0)
+ return 0;
+
+ /* if only whole limbs, no further fetches from a */
+ if (dbits == 0)
+ return 1;
+
+ /* need enough a */
+ if (asize == dlimbs)
+ return 0;
+
+ return ((ap[dlimbs]+1) & dmask) == 0;
+ }
+}