/* mpfr_set_z -- set a floating-point number from a multiple-precision integer Copyright 1999, 2000, 2001, 2002, 2003, 2004 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., 59 Temple Place - Suite 330, Boston, MA 02111-1307, 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; MPFR_CLEAR_FLAGS (f); /* z cannot be NaN nor Inf */ sign_z = mpz_cmp_ui (z, 0); if (MPFR_UNLIKELY(sign_z == 0)) { MPFR_SET_ZERO(f); MPFR_SET_POS(f); MPFR_RET(0); } fp = MPFR_MANT(f); fn = MPFR_LIMB_SIZE(f); zn = ABS(SIZ(z)); MPFR_ASSERTD (zn >= 1); dif = zn - fn; zp = PTR(z); count_leading_zeros(k, zp[zn-1]); if (MPFR_UNLIKELY(zn > MPFR_EMAX_MAX / BITS_PER_MP_LIMB + 1)) return mpfr_set_overflow(f, rnd_mode, sign_z); /* 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_set_overflow(f, rnd_mode, sign_z); if (MPFR_UNLIKELY(exp + 1 < __gmpfr_emin)) return mpfr_set_underflow(f, rnd_mode == GMP_RNDN ? GMP_RNDZ : rnd_mode, sign_z); if (sign_z > 0) MPFR_SET_POS (f); else MPFR_SET_NEG (f); if (dif >= 0) { mp_limb_t cc; int sh, to0; /* number has to be truncated */ if (MPFR_LIKELY(k != 0)) { mpn_lshift(fp, zp + dif, fn, k); if (dif != 0) fp[0] += zp[dif - 1] >> (BITS_PER_MP_LIMB - k); } else MPN_COPY(fp, zp + dif, fn); sh = (mp_prec_t) fn * BITS_PER_MP_LIMB - MPFR_PREC(f); cc = fp[0] & MPFR_LIMB_MASK (sh); fp[0] &= ~cc; to0 = rnd_mode == GMP_RNDZ || (rnd_mode == GMP_RNDU && sign_z < 0) || (rnd_mode == GMP_RNDD && sign_z > 0); /* remaining bits... */ if (MPFR_LIKELY(rnd_mode == GMP_RNDN)) { /* 1) If rounding bit is 0, behave like rounding to 0. 2) Determine the sticky bit (cc != 0). */ if (sh != 0) { mp_limb_t rb; rb = MPFR_LIMB_ONE << (sh - 1); if ((cc & rb) == 0) to0 = 1; /* rounding bit is 0 */ else cc &= ~rb; if (cc == 0 && dif > 0) cc = zp[--dif] << k; } else /* sh == 0 */ { MPFR_ASSERTN(cc == 0); if (dif > 0) cc = zp[--dif] << k; if ((cc & MPFR_LIMB_HIGHBIT) == 0) to0 = 1; /* rounding bit is 0 */ else cc <<= 1; } while (cc == 0 && dif > 0) cc = zp[--dif]; if (!to0 && cc == 0) /* even rounding */ { cc = 1; if ((fp[0] & (MPFR_LIMB_ONE << sh)) == 0) to0 = 1; } } /* rnd_mode == GMP_RNDN */ else if (cc == 0 && dif > 0) { cc = zp[--dif] << k; while (cc == 0 && dif > 0) cc = zp[--dif]; } if (cc == 0) inex = 0; else if (to0) inex = -sign_z; else { if (MPFR_UNLIKELY(mpn_add_1(fp, fp, fn, MPFR_LIMB_ONE << sh))) { if (MPFR_UNLIKELY(exp == __gmpfr_emax)) return mpfr_set_overflow(f, rnd_mode, sign_z); else { exp++; fp[fn-1] = MPFR_LIMB_HIGHBIT; } } inex = sign_z; } } /* dif >= 0 */ else /* dif < 0 */ { 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_set_underflow(f, rnd_mode, sign_z); } MPFR_SET_EXP (f, exp); MPFR_RET(inex); }