[gcc] GCC 4.5.0=>4.5.1

gcc/mpfr/mulders.c

-/* Mulder's MulHigh function (short product)
-
-Copyright 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
-Contributed by the Arenaire and Cacao projects, INRIA.
-
-This file is part of the GNU MPFR Library.
-
-The GNU MPFR 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 MPFR 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 MPFR Library; see the file COPYING.LIB.  If not, write to
-the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
-MA 02110-1301, USA. */
-
-#define MPFR_NEED_LONGLONG_H
-#include "mpfr-impl.h"
-
-#ifndef MUL_FFT_THRESHOLD
-#define MUL_FFT_THRESHOLD 8448
-#endif
-
-/* Don't use MPFR_MULHIGH_SIZE since it is handled by tuneup */
-#ifdef MPFR_MULHIGH_TAB_SIZE
-static short mulhigh_ktab[MPFR_MULHIGH_TAB_SIZE];
-#else
-static short mulhigh_ktab[] = {MPFR_MULHIGH_TAB};
-#define MPFR_MULHIGH_TAB_SIZE \
-  ((mp_size_t) (sizeof(mulhigh_ktab) / sizeof(mulhigh_ktab[0])))
-#endif
-
-/* Put in  rp[n..2n-1] an approximation of the n high limbs
-   of {mp, n} * {np, n}.
-   The error is at worst of ln(n) for rp[n] and rp[n-1] is totally wrong */
-static void
-mpfr_mulhigh_n_basecase (mp_ptr rp, mp_srcptr up, mp_srcptr vp, mp_size_t n)
-{
-  mp_size_t i;
-
-  rp += n-1;
-  umul_ppmm (rp[1], rp[0], up[n-1], vp[0]);
-  for (i = 1 ; i < n ; i++)
-    rp[i+1] = mpn_addmul_1 (rp, up + (n - i - 1), i+1, vp[i]);
-}
-
-void
-mpfr_mulhigh_n (mp_ptr rp, mp_srcptr np, mp_srcptr mp, mp_size_t n)
-{
-  mp_size_t k;
-
-  MPFR_ASSERTD (MPFR_MULHIGH_TAB_SIZE > 4);
-  k = MPFR_LIKELY (n < MPFR_MULHIGH_TAB_SIZE) ? mulhigh_ktab[n] : 2*n/3;
-  MPFR_ASSERTD (k == -1 || k == 0 || (k > n/2 && k < n));
-  if (k < 0)
-    mpn_mul_basecase (rp, np, n, mp, n);
-  else if (k == 0)
-    mpfr_mulhigh_n_basecase (rp, np, mp, n);
-  else if (n > MUL_FFT_THRESHOLD)
-    mpn_mul_n (rp, np, mp, n);
-  else
-    {
-      mp_size_t l = n - k;
-      mp_limb_t cy;
-
-      mpn_mul_n (rp + 2 * l, np + l, mp + l, k); /* fills rp[2l..2n-1] */
-      mpfr_mulhigh_n (rp, np + k, mp, l);          /* fills rp[l-1..2l-1] */
-      cy = mpn_add_n (rp + n - 1, rp + n - 1, rp + l - 1, l + 1);
-      mpfr_mulhigh_n (rp, np, mp + k, l);          /* fills rp[l-1..2l-1] */
-      cy += mpn_add_n (rp + n - 1, rp + n - 1, rp + l - 1, l + 1);
-      mpn_add_1 (rp + n + l, rp + n + l, k, cy); /* propagate carry */
-    }
-}
-
-#ifdef MPFR_SQRHIGH_TAB_SIZE
-static short sqrhigh_ktab[MPFR_SQRHIGH_TAB_SIZE];
-#else
-static short sqrhigh_ktab[] = {MPFR_SQRHIGH_TAB};
-#define MPFR_SQRHIGH_TAB_SIZE (sizeof(sqrhigh_ktab) / sizeof(sqrhigh_ktab[0]))
-#endif
-
-void
-mpfr_sqrhigh_n (mp_ptr rp, mp_srcptr np, mp_size_t n)
-{
-  mp_size_t k;
-
-  MPFR_ASSERTD (MPFR_SQRHIGH_TAB_SIZE > 4);
-  k = MPFR_LIKELY (n < MPFR_SQRHIGH_TAB_SIZE) ? sqrhigh_ktab[n] : 2*n/3;
-  MPFR_ASSERTD (k == -1 || k == 0 || (k > n/2 && k < n));
-  if (k < 0)
-    /* we can't use mpn_sqr_basecase here, since it requires
-       n <= SQR_KARATSUBA_THRESHOLD, where SQR_KARATSUBA_THRESHOLD
-       is not exported by GMP */
-    mpn_sqr_n (rp, np, n);
-  else if (k == 0)
-    mpfr_mulhigh_n_basecase (rp, np, np, n);
-  else
-    {
-      mp_size_t l = n - k;
-      mp_limb_t cy;
-
-      mpn_sqr_n (rp + 2 * l, np + l, k);          /* fills rp[2l..2n-1] */
-      mpfr_mulhigh_n (rp, np, np + k, l);         /* fills rp[l-1..2l-1] */
-      /* FIXME: maybe shift by 2 is a better idea but it has to handle carry*/
-      cy = mpn_add_n (rp + n - 1, rp + n - 1, rp + l - 1, l + 1);
-      cy += mpn_add_n (rp + n - 1, rp + n - 1, rp + l - 1, l + 1);
-      mpn_add_1 (rp + n + l, rp + n + l, k, cy); /* propagate carry */
-    }
-}