/* mpfr_set_z -- set a floating-point number from a multiple-precision integer Copyright 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006 Free Software Foundation, Inc. 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); }