/* mpfr_extract -- bit-extraction function for the binary splitting algorithm Copyright 2000, 2001, 2002, 2004, 2005, 2006, 2007, 2008 Free Software Foundation, Inc. Contributed by the Arenaire and Cacao projects, INRIA. This file is part of the MPFR Library. The 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 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 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. */ #include "mpfr-impl.h" /* given 0 <= |p| < 1, this function extracts limbs of p and puts them in y. It is mainly designed for the "binary splitting" algorithm together with generic.c. More precisely, if B = 2^BITS_PER_MP_LIMB: - for i=0, y = floor(p * B) - for i>0, y = (p * B^(2^i)) mod B^(2^(i-1)) */ void mpfr_extract (mpz_ptr y, mpfr_srcptr p, unsigned int i) { unsigned long two_i = 1UL << i; unsigned long two_i_2 = i ? two_i / 2 : 1; mp_size_t size_p = MPFR_LIMB_SIZE (p); /* as 0 <= |p| < 1, we don't have to care with infinities, NaN, ... */ MPFR_ASSERTD (!MPFR_IS_SINGULAR (p)); _mpz_realloc (y, two_i_2); if ((mpfr_uexp_t) size_p < two_i) { MPN_ZERO (PTR(y), two_i_2); if ((mpfr_uexp_t) size_p >= two_i_2) MPN_COPY (PTR(y) + two_i - size_p, MPFR_MANT(p), size_p - two_i_2); } else MPN_COPY (PTR(y), MPFR_MANT(p) + size_p - two_i, two_i_2); MPN_NORMALIZE (PTR(y), two_i_2); SIZ(y) = (MPFR_IS_NEG (p)) ? -two_i_2 : two_i_2; }