mirror of
https://github.com/vale981/arb
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71 lines
2 KiB
C
71 lines
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) 2014 Fredrik Johansson
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******************************************************************************/
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#include "acb_poly.h"
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void _acb_poly_acb_invpow_cpx(acb_ptr res, const acb_t N, const acb_t c, long trunc, long prec)
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{
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long i;
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acb_t logN;
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acb_init(logN);
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acb_log(logN, N, prec);
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acb_mul(res + 0, logN, c, prec);
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acb_neg(res + 0, res + 0);
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acb_exp(res + 0, res + 0, prec);
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for (i = 1; i < trunc; i++)
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{
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acb_mul(res + i, res + i - 1, logN, prec);
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acb_div_si(res + i, res + i, -i, prec);
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}
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acb_clear(logN);
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}
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void
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_acb_poly_powsum_series_naive(acb_ptr z,
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const acb_t s, const acb_t a, long n, long len, long prec)
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{
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long k;
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acb_ptr t;
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acb_t c;
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t = _acb_vec_init(len);
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acb_init(c);
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_acb_vec_zero(z, len);
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for (k = 0; k < n; k++)
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{
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acb_add_ui(c, a, k, prec);
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_acb_poly_acb_invpow_cpx(t, c, s, len, prec);
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_acb_vec_add(z, z, t, len, prec);
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}
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_acb_vec_clear(t, len);
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acb_clear(c);
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}
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