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authortege <tege@gmplib.org>1996-05-08 09:10:48 +0200
committertege <tege@gmplib.org>1996-05-08 09:10:48 +0200
commitc6d715868f53b08c62a129ffd77fb585fd89c43b (patch)
tree82f36d2d8cbe7e07ad3e18d5c6e047e8796d861e /mpz/gcd.c
downloadgmp-c6d715868f53b08c62a129ffd77fb585fd89c43b.tar.gz
Initial revision
Diffstat (limited to 'mpz/gcd.c')
-rw-r--r--mpz/gcd.c178
1 files changed, 178 insertions, 0 deletions
diff --git a/mpz/gcd.c b/mpz/gcd.c
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+/* mpz/gcd.c: Calculate the greatest common divisor of two integers.
+
+Copyright (C) 1991, 1993, 1994, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library 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"
+#include "longlong.h"
+
+void *_mpz_realloc ();
+
+#ifndef BERKELEY_MP
+void
+#if __STDC__
+mpz_gcd (mpz_ptr g, mpz_srcptr u, mpz_srcptr v)
+#else
+mpz_gcd (g, u, v)
+ mpz_ptr g;
+ mpz_srcptr u;
+ mpz_srcptr v;
+#endif
+#else /* BERKELEY_MP */
+void
+#if __STDC__
+gcd (mpz_srcptr u, mpz_srcptr v, mpz_ptr g)
+#else
+gcd (u, v, g)
+ mpz_ptr g;
+ mpz_srcptr u;
+ mpz_srcptr v;
+#endif
+#endif /* BERKELEY_MP */
+
+{
+ unsigned long int g_zero_bits, u_zero_bits, v_zero_bits;
+ mp_size_t g_zero_limbs, u_zero_limbs, v_zero_limbs;
+ mp_ptr tp;
+ mp_ptr up = u->_mp_d;
+ mp_size_t usize = ABS (u->_mp_size);
+ mp_ptr vp = v->_mp_d;
+ mp_size_t vsize = ABS (v->_mp_size);
+ mp_size_t gsize;
+ TMP_DECL (marker);
+
+ /* GCD(0, V) == V. */
+ if (usize == 0)
+ {
+ g->_mp_size = vsize;
+ if (g == v)
+ return;
+ if (g->_mp_alloc < vsize)
+ _mpz_realloc (g, vsize);
+ MPN_COPY (g->_mp_d, vp, vsize);
+ return;
+ }
+
+ /* GCD(U, 0) == U. */
+ if (vsize == 0)
+ {
+ g->_mp_size = usize;
+ if (g == u)
+ return;
+ if (g->_mp_alloc < usize)
+ _mpz_realloc (g, usize);
+ MPN_COPY (g->_mp_d, up, usize);
+ return;
+ }
+
+ if (usize == 1)
+ {
+ g->_mp_size = 1;
+ g->_mp_d[0] = mpn_gcd_1 (vp, vsize, up[0]);
+ return;
+ }
+
+ if (vsize == 1)
+ {
+ g->_mp_size = 1;
+ g->_mp_d[0] = mpn_gcd_1 (up, usize, vp[0]);
+ return;
+ }
+
+ TMP_MARK (marker);
+
+ /* Eliminate low zero bits from U and V and move to temporary storage. */
+ while (*up == 0)
+ up++;
+ u_zero_limbs = up - u->_mp_d;
+ usize -= u_zero_limbs;
+ count_trailing_zeros (u_zero_bits, *up);
+ tp = up;
+ up = (mp_ptr) TMP_ALLOC (usize * BYTES_PER_MP_LIMB);
+ if (u_zero_bits != 0)
+ {
+ mpn_rshift (up, tp, usize, u_zero_bits);
+ usize -= up[usize - 1] == 0;
+ }
+ else
+ MPN_COPY (up, tp, usize);
+
+ while (*vp == 0)
+ vp++;
+ v_zero_limbs = vp - v->_mp_d;
+ vsize -= v_zero_limbs;
+ count_trailing_zeros (v_zero_bits, *vp);
+ tp = vp;
+ vp = (mp_ptr) TMP_ALLOC (vsize * BYTES_PER_MP_LIMB);
+ if (v_zero_bits != 0)
+ {
+ mpn_rshift (vp, tp, vsize, v_zero_bits);
+ vsize -= vp[vsize - 1] == 0;
+ }
+ else
+ MPN_COPY (vp, tp, vsize);
+
+ if (u_zero_limbs > v_zero_limbs)
+ {
+ g_zero_limbs = v_zero_limbs;
+ g_zero_bits = v_zero_bits;
+ }
+ else if (u_zero_limbs < v_zero_limbs)
+ {
+ g_zero_limbs = u_zero_limbs;
+ g_zero_bits = u_zero_bits;
+ }
+ else /* Equal. */
+ {
+ g_zero_limbs = u_zero_limbs;
+ g_zero_bits = MIN (u_zero_bits, v_zero_bits);
+ }
+
+ /* Call mpn_gcd. The 1st argument must not have more bits than the 2nd. */
+ vsize = (usize < vsize || (usize == vsize && up[usize-1] < vp[vsize-1]))
+ ? mpn_gcd (vp, up, usize, vp, vsize)
+ : mpn_gcd (vp, vp, vsize, up, usize);
+
+ /* Here G <-- V << (g_zero_limbs*BITS_PER_MP_LIMB + g_zero_bits). */
+ gsize = vsize + g_zero_limbs;
+ if (g_zero_bits != 0)
+ {
+ mp_limb_t cy_limb;
+ gsize += (vp[vsize - 1] >> (BITS_PER_MP_LIMB - g_zero_bits)) != 0;
+ if (g->_mp_alloc < gsize)
+ _mpz_realloc (g, gsize);
+ MPN_ZERO (g->_mp_d, g_zero_limbs);
+
+ tp = g->_mp_d + g_zero_limbs;
+ cy_limb = mpn_lshift (tp, vp, vsize, g_zero_bits);
+ if (cy_limb != 0)
+ tp[vsize] = cy_limb;
+ }
+ else
+ {
+ if (g->_mp_alloc < gsize)
+ _mpz_realloc (g, gsize);
+ MPN_ZERO (g->_mp_d, g_zero_limbs);
+ MPN_COPY (g->_mp_d + g_zero_limbs, vp, vsize);
+ }
+
+ g->_mp_size = gsize;
+ TMP_FREE (marker);
+}