/*============================================================================= 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 Copyright (C) 2012 Fredrik Johansson ******************************************************************************/ #include #include "flint.h" #include "ulong_extras.h" #include "fmpz.h" void fmpz_mul_si_tdiv_q_2exp(fmpz_t f, const fmpz_t g, slong x, ulong exp) { fmpz c2 = *g; if (x == 0) { fmpz_zero(f); return; } else if (!COEFF_IS_MPZ(c2)) /* c2 is small */ { mp_limb_t prod[2]; mp_limb_t uc2; mp_limb_t ux; if (exp >= 2 * FLINT_BITS) { fmpz_zero(f); return; } uc2 = FLINT_ABS(c2); ux = FLINT_ABS(x); umul_ppmm(prod[1], prod[0], uc2, ux); if (exp >= FLINT_BITS) { fmpz_set_ui(f, prod[1] >> (exp - FLINT_BITS)); if ((c2 ^ x) < WORD(0)) fmpz_neg(f, f); return; } if (exp != 0) { prod[0] = (prod[1] << (FLINT_BITS - exp)) | (prod[0] >> exp); prod[1] >>= exp; } if (!prod[1]) { fmpz_set_ui(f, prod[0]); if ((c2 ^ x) < WORD(0)) fmpz_neg(f, f); return; } else /* result takes two limbs */ { __mpz_struct *mpz_ptr = _fmpz_promote(f); /* two limbs, least significant first, native endian, no nails, stored in prod */ mpz_import(mpz_ptr, 2, -1, sizeof(mp_limb_t), 0, 0, prod); if ((c2 ^ x) < WORD(0)) mpz_neg(mpz_ptr, mpz_ptr); } } else /* c2 is large */ { __mpz_struct *mpz_ptr = _fmpz_promote(f); /* ok without val as if aliased both are large */ flint_mpz_mul_si(mpz_ptr, COEFF_TO_PTR(c2), x); mpz_tdiv_q_2exp(mpz_ptr, mpz_ptr, exp); _fmpz_demote_val(f); /* value may be small */ } }