buildtools/gcc/mpfr/set_z.c

/* mpfr_set_z -- set a floating-point number from a multiple-precision integer

Copyright 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007 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. */

#define MPFR_NEED_LONGLONG_H
#include "mpfr-impl.h"

/* set f to the integer z */
int
mpfr_set_z (mpfr_ptr f, mpz_srcptr z, mp_rnd_t rnd_mode)
{
  mp_size_t fn, zn, dif;
  int k, sign_z, inex;
  mp_limb_t *fp, *zp;
  mp_exp_t exp;

  sign_z = mpz_sgn (z);
  if (MPFR_UNLIKELY (sign_z == 0))
    {
      MPFR_SET_ZERO(f);
      MPFR_SET_POS(f);
      MPFR_RET(0);
    }
  MPFR_ASSERTD (sign_z == MPFR_SIGN_POS || sign_z == MPFR_SIGN_NEG);

  zn = ABS(SIZ(z));
  MPFR_ASSERTD (zn >= 1);
  if (MPFR_UNLIKELY (zn > MPFR_EMAX_MAX / BITS_PER_MP_LIMB + 1))
    return mpfr_overflow (f, rnd_mode, sign_z);

  fp = MPFR_MANT (f);
  fn = MPFR_LIMB_SIZE (f);
  dif = zn - fn;
  zp = PTR(z);
  count_leading_zeros (k, zp[zn-1]);
  /* because zn >= __gmpfr_emax / BITS_PER_MP_LIMB + 2
     and zn * BITS_PER_MP_LIMB >= __gmpfr_emax + BITS_PER_MP_LIMB + 1
     and exp = zn * BITS_PER_MP_LIMB - k > __gmpfr_emax */

  /* now zn <= MPFR_EMAX_MAX / BITS_PER_MP_LIMB + 1
     thus zn * BITS_PER_MP_LIMB <= MPFR_EMAX_MAX + BITS_PER_MP_LIMB
     and exp = zn * BITS_PER_MP_LIMB - k
             <= MPFR_EMAX_MAX + BITS_PER_MP_LIMB */
  exp = (mp_prec_t) zn * BITS_PER_MP_LIMB - k;
  /* The exponent will be exp or exp + 1 (due to rounding) */
  if (MPFR_UNLIKELY (exp > __gmpfr_emax))
    return mpfr_overflow (f, rnd_mode, sign_z);
  if (MPFR_UNLIKELY (exp + 1 < __gmpfr_emin))
    return mpfr_underflow(f, rnd_mode == GMP_RNDN ? GMP_RNDZ : rnd_mode,
                              sign_z);

  if (MPFR_LIKELY (dif >= 0))
    {
      mp_limb_t rb, sb, ulp;
      int sh;

      /* number has to be truncated */
      if (MPFR_LIKELY (k != 0))
        {
          mpn_lshift (fp, &zp[dif], fn, k);
          if (MPFR_LIKELY (dif > 0))
            fp[0] |= zp[dif - 1] >> (BITS_PER_MP_LIMB - k);
        }
      else
        MPN_COPY (fp, zp + dif, fn);

      /* Compute Rounding Bit and Sticky Bit */
      MPFR_UNSIGNED_MINUS_MODULO (sh, MPFR_PREC (f) );
      if (MPFR_LIKELY (sh != 0))
        {
          mp_limb_t mask = MPFR_LIMB_ONE << (sh-1);
          mp_limb_t limb = fp[0];
          rb = limb & mask;
          sb = limb & (mask-1);
          ulp = 2*mask;
          fp[0] = limb & ~(ulp-1);
        }
      else /* sh == 0 */
        {
          mp_limb_t mask = MPFR_LIMB_ONE << (BITS_PER_MP_LIMB - 1 - k);
          if (MPFR_LIKELY (dif > 0))
            {
              rb = zp[--dif] & mask;
              sb = zp[dif] & (mask-1);
            }
          else
            rb = sb = 0;
          k = 0;
          ulp = MPFR_LIMB_ONE;
        }
      if (MPFR_UNLIKELY (sb == 0) && MPFR_LIKELY (dif > 0))
        {
          sb = zp[--dif];
          if (MPFR_LIKELY (k != 0))
            sb &= MPFR_LIMB_MASK (BITS_PER_MP_LIMB - k);
          if (MPFR_UNLIKELY (sb == 0) && MPFR_LIKELY (dif > 0))
            do {
              sb = zp[--dif];
            } while (dif > 0 && sb == 0);
        }

      /* Rounding */
      if (MPFR_LIKELY (rnd_mode == GMP_RNDN))
        {
          if (rb == 0 || MPFR_UNLIKELY (sb == 0 && (fp[0] & ulp) == 0))
            goto trunc;
          else
            goto addoneulp;
        }
      else /* Not Nearest */
        {
          if (MPFR_LIKELY (MPFR_IS_LIKE_RNDZ (rnd_mode, sign_z < 0))
              || MPFR_UNLIKELY ( (sb|rb) == 0 ))
            goto trunc;
          else
            goto addoneulp;
        }

    trunc:
      inex = MPFR_LIKELY ((sb | rb) != 0) ? -1 : 0;
      goto end;

    addoneulp:
      inex = 1;
      if (MPFR_UNLIKELY (mpn_add_1 (fp, fp, fn, ulp)))
        {
          /* Pow 2 case */
          if (MPFR_UNLIKELY (exp == __gmpfr_emax))
            return mpfr_overflow (f, rnd_mode, sign_z);
          exp ++;
          fp[fn-1] = MPFR_LIMB_HIGHBIT;
        }
    end:
      (void) 0;
    }
  else   /* dif < 0: Mantissa F is strictly bigger than z's one */
    {
      if (MPFR_LIKELY (k != 0))
        mpn_lshift (fp - dif, zp, zn, k);
      else
        MPN_COPY (fp - dif, zp, zn);
      /* fill with zeroes */
      MPN_ZERO (fp, -dif);
      inex = 0; /* result is exact */
    }

  if (MPFR_UNLIKELY (exp < __gmpfr_emin))
    {
      if (rnd_mode == GMP_RNDN && inex == 0 && mpfr_powerof2_raw (f))
        rnd_mode = GMP_RNDZ;
      return mpfr_underflow(f, rnd_mode, sign_z);
    }

  MPFR_SET_EXP (f, exp);
  MPFR_SET_SIGN (f, sign_z);
  MPFR_RET (inex*sign_z);
}