/*============================================================================= 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, 2011 Sebastian Pancratz ******************************************************************************/ #include #include #include "flint.h" #include "fmpz.h" #include "fmpz_vec.h" #include "fmpz_poly.h" void _fmpz_poly_sqrlow(fmpz * res, const fmpz * poly, slong len, slong n) { mp_size_t limbs; if (n < 7) { _fmpz_poly_sqrlow_classical(res, poly, len, n); return; } limbs = _fmpz_vec_max_limbs(poly, len); if (n < 16 && limbs > 12) { int i; fmpz *copy; copy = flint_malloc(n * sizeof(fmpz)); for (i = 0; i < len; i++) copy[i] = poly[i]; flint_mpn_zero((mp_ptr) copy + len, n - len); _fmpz_poly_sqrlow_karatsuba_n(res, copy, n); flint_free(copy); } else if (limbs <= 4) _fmpz_poly_sqrlow_KS(res, poly, len, n); else if (limbs/2048 > len) _fmpz_poly_sqrlow_KS(res, poly, len, n); else if (limbs*FLINT_BITS*4 < len) _fmpz_poly_sqrlow_KS(res, poly, len, n); else _fmpz_poly_mullow_SS(res, poly, len, poly, len, n); } void fmpz_poly_sqrlow(fmpz_poly_t res, const fmpz_poly_t poly, slong n) { const slong len = poly->length; if (len == 0 || n == 0) { fmpz_poly_zero(res); return; } if (res == poly) { fmpz_poly_t t; fmpz_poly_init2(t, n); fmpz_poly_sqrlow(t, poly, n); fmpz_poly_swap(res, t); fmpz_poly_clear(t); return; } n = FLINT_MIN(2 * len - 1, n); fmpz_poly_fit_length(res, n); _fmpz_poly_sqrlow(res->coeffs, poly->coeffs, len, n); _fmpz_poly_set_length(res, n); _fmpz_poly_normalise(res); }