mirror of
https://github.com/vale981/arb
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78 lines
2.1 KiB
C
78 lines
2.1 KiB
C
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/*=============================================================================
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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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void
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_fmprb_poly_exp_series_basecase(fmprb_struct * f,
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const fmprb_struct * h, long hlen, long n, long prec)
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{
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long j, k, alen = FLINT_MIN(n, hlen);
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fmprb_struct * a;
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fmprb_t s;
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fmprb_init(s);
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a = _fmprb_vec_init(alen);
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fmprb_exp(f, h, prec);
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for (k = 1; k < alen; k++)
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fmprb_mul_ui(a + k, h + k, k, prec);
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for (k = 1; k < n; k++)
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{
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fmprb_mul(s, a + 1, f + k - 1, prec);
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for (j = 2; j < FLINT_MIN(k + 1, hlen); j++)
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fmprb_addmul(s, a + j, f + k - j, prec);
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fmprb_div_ui(f + k, s, k, prec);
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}
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fmprb_clear(s);
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_fmprb_vec_clear(a, alen);
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}
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void
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fmprb_poly_exp_series_basecase(fmprb_poly_t f, const fmprb_poly_t h, long n, long prec)
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{
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long hlen = h->length;
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if (n == 0)
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{
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fmprb_poly_zero(f);
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return;
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}
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if (hlen == 0)
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{
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fmprb_poly_one(f);
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return;
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}
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fmprb_poly_fit_length(f, n);
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_fmprb_poly_exp_series_basecase(f->coeffs, h->coeffs, hlen, n, prec);
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_fmprb_poly_set_length(f, n);
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_fmprb_poly_normalise(f);
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}
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