mirror of
https://github.com/vale981/arb
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118 lines
3.2 KiB
C
118 lines
3.2 KiB
C
/*=============================================================================
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This file is part of ARB.
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ARB is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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ARB is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with ARB; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2012 Fredrik Johansson
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******************************************************************************/
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#include "fmprb_poly.h"
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static __inline__ long length(long flen, ulong r, long trunc)
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{
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mp_limb_t hi, lo;
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umul_ppmm(hi, lo, flen - 1, r);
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add_ssaaaa(hi, lo, hi, lo, 0, 1);
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if (hi != 0 || lo > (mp_limb_t) LONG_MAX)
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return trunc;
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return FLINT_MIN(lo, trunc);
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}
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static void
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_fmprb_poly_rfac_series_ui_bsplit(fmprb_struct * res,
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const fmprb_struct * f, long flen, ulong a, ulong b,
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long trunc, long prec)
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{
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flen = FLINT_MIN(flen, trunc);
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if (b - a == 1)
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{
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fmprb_add_ui(res, f, a, prec);
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_fmprb_vec_set(res + 1, f + 1, flen - 1);
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}
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else
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{
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fmprb_struct *L, *R;
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long len1, len2;
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long m = a + (b - a) / 2;
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len1 = length(flen, m - a, trunc);
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len2 = length(flen, b - m, trunc);
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L = _fmprb_vec_init(len1 + len2);
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R = L + len1;
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_fmprb_poly_rfac_series_ui_bsplit(L, f, flen, a, m, trunc, prec);
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_fmprb_poly_rfac_series_ui_bsplit(R, f, flen, m, b, trunc, prec);
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_fmprb_poly_mullow(res, L, len1, R, len2,
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FLINT_MIN(trunc, len1 + len2 - 1), prec);
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_fmprb_vec_clear(L, len1 + len2);
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}
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}
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void
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_fmprb_poly_rfac_series_ui(fmprb_struct * res,
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const fmprb_struct * f, long flen, ulong r,
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long trunc, long prec)
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{
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_fmprb_poly_rfac_series_ui_bsplit(res, f, flen, 0, r, trunc, prec);
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}
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void
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fmprb_poly_rfac_series_ui(fmprb_poly_t res, const fmprb_poly_t f, ulong r, long trunc, long prec)
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{
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long len;
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if (f->length == 0 && r != 0)
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{
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fmprb_poly_zero(res);
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return;
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}
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if (r == 0)
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{
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fmprb_poly_one(res);
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return;
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}
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len = length(f->length, r, trunc);
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if (f == res)
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{
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fmprb_poly_t tmp;
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fmprb_poly_init(tmp);
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fmprb_poly_rfac_series_ui(tmp, f, r, trunc, prec);
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fmprb_poly_swap(tmp, res);
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fmprb_poly_clear(tmp);
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}
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else
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{
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fmprb_poly_fit_length(res, len);
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_fmprb_poly_rfac_series_ui(res->coeffs, f->coeffs, f->length, r, trunc, prec);
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_fmprb_poly_set_length(res, len);
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_fmprb_poly_normalise(res);
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}
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}
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