/* mpfr_add -- add two floating-point numbers Copyright 1999, 2000, 2001, 2002, 2003, 2004, 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" int mpfr_add (mpfr_ptr a, mpfr_srcptr b, mpfr_srcptr c, mp_rnd_t rnd_mode) { MPFR_LOG_FUNC (("b[%#R]=%R c[%#R]=%R rnd=%d", b, b, c, c, rnd_mode), ("a[%#R]=%R", a, a)); if (MPFR_ARE_SINGULAR(b,c)) { if (MPFR_IS_NAN(b) || MPFR_IS_NAN(c)) { MPFR_SET_NAN(a); MPFR_RET_NAN; } /* neither b nor c is NaN here */ else if (MPFR_IS_INF(b)) { if (!MPFR_IS_INF(c) || MPFR_SIGN(b) == MPFR_SIGN(c)) { MPFR_SET_INF(a); MPFR_SET_SAME_SIGN(a, b); MPFR_RET(0); /* exact */ } else { MPFR_SET_NAN(a); MPFR_RET_NAN; } } else if (MPFR_IS_INF(c)) { MPFR_SET_INF(a); MPFR_SET_SAME_SIGN(a, c); MPFR_RET(0); /* exact */ } /* now either b or c is zero */ else if (MPFR_IS_ZERO(b)) { if (MPFR_IS_ZERO(c)) { MPFR_SET_SIGN(a, (rnd_mode != GMP_RNDD ? ((MPFR_IS_NEG(b) && MPFR_IS_NEG(c)) ? -1 : 1) : ((MPFR_IS_POS(b) && MPFR_IS_POS(c)) ? 1 : -1))); MPFR_SET_ZERO(a); MPFR_RET(0); /* 0 + 0 is exact */ } return mpfr_set (a, c, rnd_mode); } else { MPFR_ASSERTD(MPFR_IS_ZERO(c)); return mpfr_set (a, b, rnd_mode); } } MPFR_ASSERTD(MPFR_IS_PURE_FP(b) && MPFR_IS_PURE_FP(c)); MPFR_CLEAR_FLAGS(a); /* clear flags */ if (MPFR_UNLIKELY(MPFR_SIGN(b) != MPFR_SIGN(c))) { /* signs differ, it's a subtraction */ if (MPFR_LIKELY(MPFR_PREC(a) == MPFR_PREC(b) && MPFR_PREC(b) == MPFR_PREC(c))) return mpfr_sub1sp(a,b,c,rnd_mode); else return mpfr_sub1(a, b, c, rnd_mode); } else { /* signs are equal, it's an addition */ if (MPFR_LIKELY(MPFR_PREC(a) == MPFR_PREC(b) && MPFR_PREC(b) == MPFR_PREC(c))) if (MPFR_GET_EXP(b) < MPFR_GET_EXP(c)) return mpfr_add1sp(a, c, b, rnd_mode); else return mpfr_add1sp(a, b, c, rnd_mode); else if (MPFR_GET_EXP(b) < MPFR_GET_EXP(c)) return mpfr_add1(a, c, b, rnd_mode); else return mpfr_add1(a, b, c, rnd_mode); } }