/*============================================================================= 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) 2008, 2009 William Hart Copyright (C) 2010 Sebastian Pancratz ******************************************************************************/ #include #include #include "flint.h" #include "fmpz.h" #include "fmpz_vec.h" #include "fmpz_poly.h" void _fmpz_poly_mullow(fmpz * res, const fmpz * poly1, slong len1, const fmpz * poly2, slong len2, slong n) { mp_size_t limbs1, limbs2; if (len2 < 7 || n < 7) { _fmpz_poly_mullow_classical(res, poly1, len1, poly2, len2, n); return; } limbs1 = _fmpz_vec_max_limbs(poly1, len1); limbs2 = _fmpz_vec_max_limbs(poly2, len2); if (n < 16 && (limbs1 > 12 || limbs2 > 12)) { int clear = 0, i; fmpz *copy1, *copy2; if (len1 >= n) copy1 = (fmpz *) poly1; else { copy1 = (fmpz *) flint_malloc(n * sizeof(fmpz)); for (i = 0; i < len1; i++) copy1[i] = poly1[i]; flint_mpn_zero((mp_ptr) copy1 + len1, n - len1); clear |= 1; } if (len2 >= n) copy2 = (fmpz *) poly2; else { copy2 = (fmpz *) flint_malloc(n * sizeof(fmpz)); for (i = 0; i < len2; i++) copy2[i] = poly2[i]; flint_mpn_zero((mp_ptr) copy2 + len2, n - len2); clear |= 2; } _fmpz_poly_mullow_karatsuba_n(res, copy1, copy2, n); if (clear & 1) flint_free(copy1); if (clear & 2) flint_free(copy2); } else if (limbs1 + limbs2 <= 8) _fmpz_poly_mullow_KS(res, poly1, len1, poly2, len2, n); else if ((limbs1+limbs2)/2048 > len1 + len2) _fmpz_poly_mullow_KS(res, poly1, len1, poly2, len2, n); else if ((limbs1 + limbs2)*FLINT_BITS*4 < len1 + len2) _fmpz_poly_mullow_KS(res, poly1, len1, poly2, len2, n); else _fmpz_poly_mullow_SS(res, poly1, len1, poly2, len2, n); } void fmpz_poly_mullow(fmpz_poly_t res, const fmpz_poly_t poly1, const fmpz_poly_t poly2, slong n) { const slong len1 = poly1->length; const slong len2 = poly2->length; if (len1 == 0 || len2 == 0 || n == 0) { fmpz_poly_zero(res); return; } if (res == poly1 || res == poly2) { fmpz_poly_t t; fmpz_poly_init2(t, n); fmpz_poly_mullow(t, poly1, poly2, n); fmpz_poly_swap(res, t); fmpz_poly_clear(t); return; } n = FLINT_MIN(n, len1 + len2 - 1); fmpz_poly_fit_length(res, n); if (len1 >= len2) _fmpz_poly_mullow(res->coeffs, poly1->coeffs, len1, poly2->coeffs, len2, n); else _fmpz_poly_mullow(res->coeffs, poly2->coeffs, len2, poly1->coeffs, len1, n); _fmpz_poly_set_length(res, n); _fmpz_poly_normalise(res); }