132 lines
3.3 KiB
C
132 lines
3.3 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) 2010 Sebastian Pancratz
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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
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_fmpq_poly_exp_series(fmpz * g, fmpz_t gden,
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const fmpz * h, const fmpz_t hden, slong n)
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{
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slong m;
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fmpz * t, * u;
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fmpz_t tden, uden;
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if (n < 2)
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{
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fmpz_one(g);
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fmpz_one(gden);
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return;
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}
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m = (n + 1) / 2;
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_fmpq_poly_exp_series(g, gden, h, hden, m);
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_fmpz_vec_zero(g + m, n - m);
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t = _fmpz_vec_init(n);
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u = _fmpz_vec_init(n);
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fmpz_init(tden);
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fmpz_init(uden);
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_fmpq_poly_log_series(t, tden, g, gden, n);
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_fmpq_poly_sub(t, tden, t, tden, n, h, hden, n);
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/* TODO: half of product is redundant! */
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_fmpq_poly_mullow(u, uden, g, gden, n, t, tden, n, n);
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_fmpq_poly_sub(g, gden, g, gden, n, u, uden, n);
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_fmpq_poly_canonicalise(g, gden, n);
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fmpz_clear(tden);
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fmpz_clear(uden);
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_fmpz_vec_clear(t, n);
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_fmpz_vec_clear(u, n);
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}
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void fmpq_poly_exp_series(fmpq_poly_t res, const fmpq_poly_t poly, slong n)
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{
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fmpz *copy;
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int alloc;
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if (poly->length == 0)
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{
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fmpq_poly_set_ui(res, UWORD(1));
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return;
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}
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if (!fmpz_is_zero(poly->coeffs))
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{
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flint_printf("Exception (fmpq_poly_exp_series). Constant term != 0.\n");
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abort();
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}
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if (n < 2)
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{
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if (n == 0) fmpq_poly_zero(res);
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if (n == 1) fmpq_poly_set_ui(res, UWORD(1));
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return;
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}
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if (poly->length >= n)
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{
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copy = poly->coeffs;
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alloc = 0;
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}
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else
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{
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slong i;
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copy = (fmpz *) flint_malloc(n * sizeof(fmpz));
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for (i = 0; i < poly->length; i++)
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copy[i] = poly->coeffs[i];
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for ( ; i < n; i++)
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copy[i] = 0;
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alloc = 1;
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}
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if (res != poly)
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{
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fmpq_poly_fit_length(res, n);
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_fmpq_poly_exp_series(res->coeffs, res->den, copy, poly->den, n);
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}
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else
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{
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fmpq_poly_t t;
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fmpq_poly_init2(t, n);
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_fmpq_poly_exp_series(t->coeffs, t->den, copy, poly->den, n);
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fmpq_poly_swap(res, t);
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fmpq_poly_clear(t);
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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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if (alloc)
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flint_free(copy);
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}
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