/* Exception flags and utilities. Copyright 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc. Contributed by the Arenaire and Cacao 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 2.1 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.LIB. If not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ #include "mpfr-impl.h" unsigned int MPFR_THREAD_ATTR __gmpfr_flags = 0; mp_exp_t MPFR_THREAD_ATTR __gmpfr_emin = MPFR_EMIN_DEFAULT; mp_exp_t MPFR_THREAD_ATTR __gmpfr_emax = MPFR_EMAX_DEFAULT; #undef mpfr_get_emin mp_exp_t mpfr_get_emin (void) { return __gmpfr_emin; } #undef mpfr_set_emin int mpfr_set_emin (mp_exp_t exponent) { if (exponent >= MPFR_EMIN_MIN && exponent <= MPFR_EMIN_MAX) { __gmpfr_emin = exponent; return 0; } else { return 1; } } mp_exp_t mpfr_get_emin_min (void) { return MPFR_EMIN_MIN; } mp_exp_t mpfr_get_emin_max (void) { return MPFR_EMIN_MAX; } #undef mpfr_get_emax mp_exp_t mpfr_get_emax (void) { return __gmpfr_emax; } #undef mpfr_set_emax int mpfr_set_emax (mp_exp_t exponent) { if (exponent >= MPFR_EMAX_MIN && exponent <= MPFR_EMAX_MAX) { __gmpfr_emax = exponent; return 0; } else { return 1; } } mp_exp_t mpfr_get_emax_min (void) { return MPFR_EMAX_MIN; } mp_exp_t mpfr_get_emax_max (void) { return MPFR_EMAX_MAX; } #undef mpfr_clear_flags void mpfr_clear_flags (void) { __gmpfr_flags = 0; } #undef mpfr_clear_underflow void mpfr_clear_underflow (void) { __gmpfr_flags &= MPFR_FLAGS_ALL ^ MPFR_FLAGS_UNDERFLOW; } #undef mpfr_clear_overflow void mpfr_clear_overflow (void) { __gmpfr_flags &= MPFR_FLAGS_ALL ^ MPFR_FLAGS_OVERFLOW; } #undef mpfr_clear_nanflag void mpfr_clear_nanflag (void) { __gmpfr_flags &= MPFR_FLAGS_ALL ^ MPFR_FLAGS_NAN; } #undef mpfr_clear_inexflag void mpfr_clear_inexflag (void) { __gmpfr_flags &= MPFR_FLAGS_ALL ^ MPFR_FLAGS_INEXACT; } #undef mpfr_clear_erangeflag void mpfr_clear_erangeflag (void) { __gmpfr_flags &= MPFR_FLAGS_ALL ^ MPFR_FLAGS_ERANGE; } #undef mpfr_clear_underflow void mpfr_set_underflow (void) { __gmpfr_flags |= MPFR_FLAGS_UNDERFLOW; } #undef mpfr_clear_overflow void mpfr_set_overflow (void) { __gmpfr_flags |= MPFR_FLAGS_OVERFLOW; } #undef mpfr_clear_nanflag void mpfr_set_nanflag (void) { __gmpfr_flags |= MPFR_FLAGS_NAN; } #undef mpfr_clear_inexflag void mpfr_set_inexflag (void) { __gmpfr_flags |= MPFR_FLAGS_INEXACT; } #undef mpfr_clear_erangeflag void mpfr_set_erangeflag (void) { __gmpfr_flags |= MPFR_FLAGS_ERANGE; } #undef mpfr_check_range int mpfr_check_range (mpfr_ptr x, int t, mp_rnd_t rnd_mode) { if (MPFR_LIKELY( MPFR_IS_PURE_FP(x)) ) { /* x is a non-zero FP */ mp_exp_t exp = MPFR_EXP (x); /* Do not use MPFR_GET_EXP */ if (MPFR_UNLIKELY( exp < __gmpfr_emin) ) { /* The following test is necessary because in the rounding to the * nearest mode, mpfr_underflow always rounds away from 0. In * this rounding mode, we need to round to 0 if: * _ |x| < 2^(emin-2), or * _ |x| = 2^(emin-2) and the absolute value of the exact * result is <= 2^(emin-2). */ if (rnd_mode == GMP_RNDN && (exp + 1 < __gmpfr_emin || (mpfr_powerof2_raw(x) && (MPFR_IS_NEG(x) ? t <= 0 : t >= 0)))) rnd_mode = GMP_RNDZ; return mpfr_underflow(x, rnd_mode, MPFR_SIGN(x)); } if (MPFR_UNLIKELY( exp > __gmpfr_emax) ) return mpfr_overflow(x, rnd_mode, MPFR_SIGN(x)); } else if (MPFR_UNLIKELY (t != 0 && MPFR_IS_INF (x))) { /* We need to do the following because most MPFR functions are * implemented in the following way: * Ziv's loop: * | Compute an approximation to the result and an error bound. * | Possible underflow/overflow detection -> return. * | If can_round, break (exit the loop). * | Otherwise, increase the working precision and loop. * Round the approximation in the target precision. * Restore the flags (that could have been set due to underflows * or overflows during the internal computations). * Execute: return mpfr_check_range (...). * The problem is that an overflow could be generated when rounding the * approximation (in general, such an overflow could not be detected * earlier), and the overflow flag is lost when the flags are restored. * So, the simplest solution is to detect this overflow case here in * mpfr_check_range, which is easy to do since the rounded result is * necessarily an inexact infinity. */ __gmpfr_flags |= MPFR_FLAGS_OVERFLOW; } MPFR_RET (t); /* propagate inexact ternary value, unlike most functions */ } #undef mpfr_underflow_p int mpfr_underflow_p (void) { return __gmpfr_flags & MPFR_FLAGS_UNDERFLOW; } #undef mpfr_overflow_p int mpfr_overflow_p (void) { return __gmpfr_flags & MPFR_FLAGS_OVERFLOW; } #undef mpfr_nanflag_p int mpfr_nanflag_p (void) { return __gmpfr_flags & MPFR_FLAGS_NAN; } #undef mpfr_inexflag_p int mpfr_inexflag_p (void) { return __gmpfr_flags & MPFR_FLAGS_INEXACT; } #undef mpfr_erangeflag_p int mpfr_erangeflag_p (void) { return __gmpfr_flags & MPFR_FLAGS_ERANGE; } /* #undef mpfr_underflow */ /* Note: In the rounding to the nearest mode, mpfr_underflow always rounds away from 0. In this rounding mode, you must call mpfr_underflow with rnd_mode = GMP_RNDZ if the exact result is <= 2^(emin-2) in absolute value. */ int mpfr_underflow (mpfr_ptr x, mp_rnd_t rnd_mode, int sign) { int inex; MPFR_ASSERT_SIGN (sign); if (rnd_mode == GMP_RNDN || MPFR_IS_RNDUTEST_OR_RNDDNOTTEST(rnd_mode, MPFR_IS_POS_SIGN (sign))) { mpfr_setmin (x, __gmpfr_emin); inex = 1; } else { MPFR_SET_ZERO(x); inex = -1; } MPFR_SET_SIGN(x, sign); __gmpfr_flags |= MPFR_FLAGS_INEXACT | MPFR_FLAGS_UNDERFLOW; return sign > 0 ? inex : -inex; } /* #undef mpfr_overflow */ int mpfr_overflow (mpfr_ptr x, mp_rnd_t rnd_mode, int sign) { int inex; MPFR_ASSERT_SIGN(sign); MPFR_CLEAR_FLAGS(x); if (rnd_mode == GMP_RNDN || MPFR_IS_RNDUTEST_OR_RNDDNOTTEST(rnd_mode, sign > 0)) { MPFR_SET_INF(x); inex = 1; } else { mpfr_setmax (x, __gmpfr_emax); inex = -1; } MPFR_SET_SIGN(x,sign); __gmpfr_flags |= MPFR_FLAGS_INEXACT | MPFR_FLAGS_OVERFLOW; return sign > 0 ? inex : -inex; }