/* mpfr_cmp_ui_2exp -- compare a floating-point number with an unsigned machine integer multiplied by a power of 2 Copyright 1999, 2001-2004, 2006-2018 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" /* returns a positive value if b > i*2^f, a negative value if b < i*2^f, zero if b = i*2^f. b must not be NaN */ int mpfr_cmp_ui_2exp (mpfr_srcptr b, unsigned long int i, mpfr_exp_t f) { if (MPFR_UNLIKELY( MPFR_IS_SINGULAR(b) )) { if (MPFR_IS_NAN (b)) { MPFR_SET_ERANGEFLAG (); return 0; } else if (MPFR_IS_INF(b)) return MPFR_INT_SIGN (b); else /* since b cannot be NaN, b=0 here */ return i != 0 ? -1 : 0; } if (MPFR_IS_NEG (b)) return -1; /* now b > 0 */ else if (MPFR_UNLIKELY(i == 0)) return 1; else /* b > 0, i > 0 */ { mpfr_exp_t e; int k; mp_size_t bn; mp_limb_t c, *bp; /* i must be representable in a mp_limb_t */ MPFR_ASSERTN(i == (mp_limb_t) i); e = MPFR_GET_EXP (b); /* 2^(e-1) <= b < 2^e */ if (e <= f) return -1; if (f < MPFR_EMAX_MAX - GMP_NUMB_BITS && e > f + GMP_NUMB_BITS) return 1; /* now f < e <= f + GMP_NUMB_BITS */ c = (mp_limb_t) i; count_leading_zeros(k, c); if ((int) (e - f) > GMP_NUMB_BITS - k) return 1; if ((int) (e - f) < GMP_NUMB_BITS - k) return -1; /* now b and i*2^f have the same exponent */ c <<= k; bn = (MPFR_PREC(b) - 1) / GMP_NUMB_BITS; bp = MPFR_MANT(b); if (bp[bn] > c) return 1; if (bp[bn] < c) return -1; /* most significant limbs agree, check remaining limbs from b */ while (bn > 0) if (bp[--bn] != 0) return 1; return 0; } } #undef mpfr_cmp_ui int mpfr_cmp_ui (mpfr_srcptr b, unsigned long int i) { return mpfr_cmp_ui_2exp (b, i, 0); }