/*============================================================================= This file is part of FLINT. FLINT is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. FLINT 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 General Public License for more details. You should have received a copy of the GNU General Public License along with FLINT; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA =============================================================================*/ /****************************************************************************** Copyright (C) 2009 William Hart ******************************************************************************/ #include #include "flint.h" #include "ulong_extras.h" #include "fmpz.h" ulong z_gcd(slong a, slong b) { ulong ua = FLINT_ABS(a); ulong ub = FLINT_ABS(b); return n_gcd_full(ua, ub); } void fmpz_gcd(fmpz_t f, const fmpz_t g, const fmpz_t h) { fmpz c1 = *g; fmpz c2 = *h; if (fmpz_is_zero(g)) { fmpz_abs(f, h); return; } if (fmpz_is_zero(h)) { fmpz_abs(f, g); return; } if (!COEFF_IS_MPZ(c1)) /* g is small */ { if (!COEFF_IS_MPZ(c2)) /* h is also small */ { fmpz_set_si(f, z_gcd(c1, c2)); } else /* h is large, but g is small */ { fmpz c2d = fmpz_fdiv_ui(h, FLINT_ABS(c1)); fmpz_set_si(f, z_gcd(c1, c2d)); } } else { if (!COEFF_IS_MPZ(c2)) /* h is small, but g is large */ { fmpz c1d = fmpz_fdiv_ui(g, FLINT_ABS(c2)); fmpz_set_si(f, z_gcd(c2, c1d)); } else /* g and h are both large */ { __mpz_struct *mpz_ptr = _fmpz_promote(f); /* aliasing fine as g, h already large */ mpz_gcd(mpz_ptr, COEFF_TO_PTR(c1), COEFF_TO_PTR(c2)); _fmpz_demote_val(f); /* gcd may be small */ } } }