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+/* mpfr_frac -- Fractional part of a floating-point number.
+
+Copyright 2002-2004, 2006-2016 Free Software Foundation, Inc.
+Contributed by the AriC and Caramba 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 3 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.LESSER. If not, see
+http://www.gnu.org/licenses/ or 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"
+
+/* Optimization note: it is not a good idea to call mpfr_integer_p,
+ as some cases will take longer (the number may be parsed twice). */
+
+int
+mpfr_frac (mpfr_ptr r, mpfr_srcptr u, mpfr_rnd_t rnd_mode)
+{
+ mpfr_exp_t re, ue;
+ mpfr_prec_t uq;
+ mp_size_t un, tn, t0;
+ mp_limb_t *up, *tp, k;
+ int sh;
+ mpfr_t tmp;
+ mpfr_ptr t;
+ int inex;
+ MPFR_SAVE_EXPO_DECL (expo);
+
+ /* Special cases */
+ if (MPFR_UNLIKELY(MPFR_IS_NAN(u)))
+ {
+ MPFR_SET_NAN(r);
+ MPFR_RET_NAN;
+ }
+ else if (MPFR_UNLIKELY(MPFR_IS_INF(u) || mpfr_integer_p (u)))
+ {
+ MPFR_SET_SAME_SIGN(r, u);
+ MPFR_SET_ZERO(r);
+ MPFR_RET(0); /* zero is exact */
+ }
+
+ ue = MPFR_GET_EXP (u);
+ if (ue <= 0) /* |u| < 1 */
+ return mpfr_set (r, u, rnd_mode);
+
+ /* Now |u| >= 1, meaning that an overflow is not possible. */
+
+ uq = MPFR_PREC(u);
+ un = (uq - 1) / GMP_NUMB_BITS; /* index of most significant limb */
+ un -= (mp_size_t) (ue / GMP_NUMB_BITS);
+ /* now the index of the MSL containing bits of the fractional part */
+
+ up = MPFR_MANT(u);
+ sh = ue % GMP_NUMB_BITS;
+ k = up[un] << sh;
+ /* the first bit of the fractional part is the MSB of k */
+
+ if (k != 0)
+ {
+ int cnt;
+
+ count_leading_zeros(cnt, k);
+ /* first bit 1 of the fractional part -> MSB of the number */
+ re = -cnt;
+ sh += cnt;
+ MPFR_ASSERTN (sh < GMP_NUMB_BITS);
+ k <<= cnt;
+ }
+ else
+ {
+ re = sh - GMP_NUMB_BITS;
+ /* searching for the first bit 1 (exists since u isn't an integer) */
+ while (up[--un] == 0)
+ re -= GMP_NUMB_BITS;
+ MPFR_ASSERTN(un >= 0);
+ k = up[un];
+ count_leading_zeros(sh, k);
+ re -= sh;
+ k <<= sh;
+ }
+ /* The exponent of r will be re */
+ /* un: index of the limb of u that contains the first bit 1 of the FP */
+
+ t = (mp_size_t) (MPFR_PREC(r) - 1) / GMP_NUMB_BITS < un ?
+ (mpfr_init2 (tmp, (un + 1) * GMP_NUMB_BITS), tmp) : r;
+ /* t has enough precision to contain the fractional part of u */
+ /* If we use a temporary variable, we take the non-significant bits
+ of u into account, because of the mpn_lshift below. */
+ MPFR_SET_SAME_SIGN(t, u);
+
+ /* Put the fractional part of u into t */
+ tn = (MPFR_PREC(t) - 1) / GMP_NUMB_BITS;
+ MPFR_ASSERTN(tn >= un);
+ t0 = tn - un;
+ tp = MPFR_MANT(t);
+ if (sh == 0)
+ MPN_COPY_DECR(tp + t0, up, un + 1);
+ else /* warning: un may be 0 here */
+ tp[tn] = k | ((un) ? mpn_lshift (tp + t0, up, un, sh) : (mp_limb_t) 0);
+ if (t0 > 0)
+ MPN_ZERO(tp, t0);
+
+ MPFR_SAVE_EXPO_MARK (expo);
+
+ if (t != r)
+ { /* t is tmp */
+ MPFR_EXP (t) = 0; /* should be re, but not necessarily in the range */
+ inex = mpfr_set (r, t, rnd_mode); /* no underflow */
+ mpfr_clear (t);
+ MPFR_EXP (r) += re;
+ }
+ else
+ { /* There may be remaining non-significant bits in t (= r). */
+ int carry;
+
+ MPFR_EXP (r) = re;
+ carry = mpfr_round_raw (tp, tp,
+ (mpfr_prec_t) (tn + 1) * GMP_NUMB_BITS,
+ MPFR_IS_NEG (r), MPFR_PREC (r), rnd_mode,
+ &inex);
+ if (carry)
+ {
+ tp[tn] = MPFR_LIMB_HIGHBIT;
+ MPFR_EXP (r) ++;
+ }
+ }
+
+ MPFR_SAVE_EXPO_FREE (expo);
+ return mpfr_check_range (r, inex, rnd_mode);
+}