90 lines
2.5 KiB
C
90 lines
2.5 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 "ulong_extras.h"
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#include "nmod_vec.h"
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#include "nmod_poly.h"
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void
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_nmod_poly_exp_series_basecase(mp_ptr f, mp_srcptr h,
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slong hlen, slong n, nmod_t mod)
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{
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slong j, k;
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mp_ptr a;
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mp_limb_t s;
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f[0] = UWORD(1);
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a = _nmod_vec_init(FLINT_MIN(n, hlen));
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for (k = 1; k < FLINT_MIN(n, hlen); k++)
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a[k] = n_mulmod2_preinv(h[k], k, mod.n, mod.ninv);
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for (k = 1; k < n; k++)
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{
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s = n_mulmod2_preinv(a[1], f[k-1], mod.n, mod.ninv);
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for (j = 2; j < FLINT_MIN(k + 1, hlen); j++)
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NMOD_ADDMUL(s, a[j], f[k - j], mod);
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f[k] = n_mulmod2_preinv(s, n_invmod(k, mod.n), mod.n, mod.ninv);
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}
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_nmod_vec_clear(a);
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}
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void
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nmod_poly_exp_series_basecase(nmod_poly_t f, const nmod_poly_t h, slong n)
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{
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slong hlen;
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nmod_poly_fit_length(f, n);
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hlen = h->length;
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if (hlen > 0 && h->coeffs[0] != UWORD(0))
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{
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flint_printf("Exception (nmod_poly_exp_series_basecase). Constant term != 0.\n");
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abort();
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}
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if (n <= 1 || hlen == 0)
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{
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if (n == 0)
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{
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nmod_poly_zero(f);
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}
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else
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{
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f->coeffs[0] = UWORD(1);
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f->length = 1;
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}
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return;
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}
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_nmod_poly_exp_series_basecase(f->coeffs, h->coeffs, hlen, n, f->mod);
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f->length = n;
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_nmod_poly_normalise(f);
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}
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