/* Exception flags and utilities. Copyright 2001-2015 Free Software Foundation, Inc. Contributed by the AriC and Caramel 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. */ #include "mpfr-impl.h" unsigned int MPFR_THREAD_ATTR __gmpfr_flags = 0; mpfr_exp_t MPFR_THREAD_ATTR __gmpfr_emin = MPFR_EMIN_DEFAULT; mpfr_exp_t MPFR_THREAD_ATTR __gmpfr_emax = MPFR_EMAX_DEFAULT; #undef mpfr_get_emin mpfr_exp_t mpfr_get_emin (void) { return __gmpfr_emin; } #undef mpfr_set_emin int mpfr_set_emin (mpfr_exp_t exponent) { if (exponent >= MPFR_EMIN_MIN && exponent <= MPFR_EMIN_MAX) { __gmpfr_emin = exponent; return 0; } else { return 1; } } mpfr_exp_t mpfr_get_emin_min (void) { return MPFR_EMIN_MIN; } mpfr_exp_t mpfr_get_emin_max (void) { return MPFR_EMIN_MAX; } #undef mpfr_get_emax mpfr_exp_t mpfr_get_emax (void) { return __gmpfr_emax; } #undef mpfr_set_emax int mpfr_set_emax (mpfr_exp_t exponent) { if (exponent >= MPFR_EMAX_MIN && exponent <= MPFR_EMAX_MAX) { __gmpfr_emax = exponent; return 0; } else { return 1; } } mpfr_exp_t mpfr_get_emax_min (void) { return MPFR_EMAX_MIN; } mpfr_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_divby0 void mpfr_clear_divby0 (void) { __gmpfr_flags &= MPFR_FLAGS_ALL ^ MPFR_FLAGS_DIVBY0; } #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_set_underflow void mpfr_set_underflow (void) { __gmpfr_flags |= MPFR_FLAGS_UNDERFLOW; } #undef mpfr_set_overflow void mpfr_set_overflow (void) { __gmpfr_flags |= MPFR_FLAGS_OVERFLOW; } #undef mpfr_set_divby0 void mpfr_set_divby0 (void) { __gmpfr_flags |= MPFR_FLAGS_DIVBY0; } #undef mpfr_set_nanflag void mpfr_set_nanflag (void) { __gmpfr_flags |= MPFR_FLAGS_NAN; } #undef mpfr_set_inexflag void mpfr_set_inexflag (void) { __gmpfr_flags |= MPFR_FLAGS_INEXACT; } #undef mpfr_set_erangeflag void mpfr_set_erangeflag (void) { __gmpfr_flags |= MPFR_FLAGS_ERANGE; } #undef mpfr_check_range int mpfr_check_range (mpfr_ptr x, int t, mpfr_rnd_t rnd_mode) { if (MPFR_LIKELY( MPFR_IS_PURE_FP(x)) ) { /* x is a non-zero FP */ mpfr_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 == MPFR_RNDN && (exp + 1 < __gmpfr_emin || (mpfr_powerof2_raw(x) && (MPFR_IS_NEG(x) ? t <= 0 : t >= 0)))) rnd_mode = MPFR_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. <== See below * 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. * This can occur only when the rounding yields an exponent change * and the new exponent is larger than the maximum exponent, so that * an infinity is necessarily obtained. * 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_divby0_p int mpfr_divby0_p (void) { return __gmpfr_flags & MPFR_FLAGS_DIVBY0; } #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 = MPFR_RNDZ if the exact result is <= 2^(emin-2) in absolute value. */ int mpfr_underflow (mpfr_ptr x, mpfr_rnd_t rnd_mode, int sign) { int inex; MPFR_ASSERT_SIGN (sign); if (MPFR_IS_LIKE_RNDZ(rnd_mode, sign < 0)) { MPFR_SET_ZERO(x); inex = -1; } else { mpfr_setmin (x, __gmpfr_emin); 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, mpfr_rnd_t rnd_mode, int sign) { int inex; MPFR_ASSERT_SIGN(sign); if (MPFR_IS_LIKE_RNDZ(rnd_mode, sign < 0)) { mpfr_setmax (x, __gmpfr_emax); inex = -1; } else { MPFR_SET_INF(x); inex = 1; } MPFR_SET_SIGN(x,sign); __gmpfr_flags |= MPFR_FLAGS_INEXACT | MPFR_FLAGS_OVERFLOW; return sign > 0 ? inex : -inex; }