mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
77 lines
2.2 KiB
C
77 lines
2.2 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, 2013 Fredrik Johansson
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******************************************************************************/
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#include "fmpcb_poly.h"
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void
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_fmpcb_poly_log_series(fmpcb_ptr res, fmpcb_srcptr f, long flen, long n, long prec)
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{
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fmpcb_ptr f_diff, f_inv;
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fmpcb_t a;
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long alloc;
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if (flen == 1)
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{
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fmpcb_log(res, f, prec);
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_fmpcb_vec_zero(res + 1, n - 1);
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return;
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}
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flen = FLINT_MIN(flen, n);
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alloc = n + flen - 1;
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f_inv = _fmpcb_vec_init(alloc);
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f_diff = f_inv + n;
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fmpcb_init(a);
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fmpcb_log(a, f, prec);
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_fmpcb_poly_derivative(f_diff, f, flen, prec);
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_fmpcb_poly_inv_series(f_inv, f, flen, n, prec);
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_fmpcb_poly_mullow(res, f_inv, n - 1, f_diff, flen - 1, n - 1, prec);
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_fmpcb_poly_integral(res, res, n, prec);
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fmpcb_swap(res, a);
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fmpcb_clear(a);
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_fmpcb_vec_clear(f_inv, alloc);
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}
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void
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fmpcb_poly_log_series(fmpcb_poly_t res, const fmpcb_poly_t f, long n, long prec)
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{
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if (n == 0)
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{
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fmpcb_poly_zero(res);
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return;
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}
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fmpcb_poly_fit_length(res, n);
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if (f->length == 0)
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_fmpcb_vec_indeterminate(res->coeffs, n);
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else
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_fmpcb_poly_log_series(res->coeffs, f->coeffs, f->length, n, prec);
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_fmpcb_poly_set_length(res, n);
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_fmpcb_poly_normalise(res);
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}
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