97 lines
2.6 KiB
C
97 lines
2.6 KiB
C
/*=============================================================================
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This file is part of FLINT.
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FLINT 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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FLINT 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 FLINT; 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) 2011 Fredrik Johansson
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******************************************************************************/
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#include <gmp.h>
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#include "flint.h"
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#include "fmpz.h"
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#include "fmpz_vec.h"
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#include "fmpq_poly.h"
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void _fmpq_poly_log_series(fmpz * g, fmpz_t gden,
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const fmpz * f, const fmpz_t fden, slong n)
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{
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fmpz * f_diff;
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fmpz * f_inv;
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fmpz_t f_diff_den;
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fmpz_t f_inv_den;
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f_diff = _fmpz_vec_init(n);
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f_inv = _fmpz_vec_init(n);
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fmpz_init(f_diff_den);
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fmpz_init(f_inv_den);
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_fmpq_poly_derivative(f_diff, f_diff_den, f, fden, n);
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_fmpq_poly_inv_series(f_inv, f_inv_den, f, fden, n);
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_fmpq_poly_mullow(g, gden, f_diff, f_diff_den, n - 1, f_inv, f_inv_den, n - 1, n - 1);
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_fmpq_poly_integral(g, gden, g, gden, n);
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_fmpz_vec_clear(f_diff, n);
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_fmpz_vec_clear(f_inv, n);
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fmpz_clear(f_diff_den);
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fmpz_clear(f_inv_den);
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}
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void
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fmpq_poly_log_series(fmpq_poly_t res, const fmpq_poly_t f, slong n)
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{
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fmpz * f_coeffs;
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slong flen = f->length;
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if (flen < 1 || !fmpz_equal(f->coeffs, f->den))
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{
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flint_printf("Exception (fmpq_poly_log_series). Constant term != 1.\n");
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abort();
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}
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if (flen == 1 || n < 2)
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{
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fmpq_poly_zero(res);
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return;
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}
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fmpq_poly_fit_length(res, n);
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if (flen < n)
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{
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f_coeffs = _fmpz_vec_init(n);
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_fmpz_vec_set(f_coeffs, f->coeffs, flen);
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}
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else
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{
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f_coeffs = f->coeffs;
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}
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_fmpq_poly_log_series(res->coeffs, res->den, f_coeffs, f->den, n);
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if (flen < n)
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{
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_fmpz_vec_clear(f_coeffs, n);
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}
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_fmpq_poly_set_length(res, n);
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_fmpq_poly_normalise(res);
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}
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