117 lines
3.1 KiB
C
117 lines
3.1 KiB
C
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/*=============================================================================
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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_monomial_ui(mp_ptr res, mp_limb_t coeff, ulong power,
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slong n, nmod_t mod)
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{
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slong k, r;
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mp_limb_t rfac;
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mp_limb_t a;
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r = (n - 1) / power;
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rfac = n_factorial_mod2_preinv(r, mod.n, mod.ninv);
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rfac = n_invmod(rfac, mod.n);
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if (power > 1)
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_nmod_vec_zero(res, n);
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res[0] = UWORD(1);
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if (coeff == UWORD(1))
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{
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a = rfac;
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for (k = r; k >= 1; k--)
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{
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res[k * power] = a;
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a = n_mulmod2_preinv(a, k, mod.n, mod.ninv);
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}
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}
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else
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{
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a = coeff;
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for (k = power; k < n; k += power)
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{
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res[k] = a;
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a = n_mulmod2_preinv(a, coeff, mod.n, mod.ninv);
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}
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a = rfac;
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for (k = r; k >= 1; k--)
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{
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res[k * power] = n_mulmod2_preinv(res[k * power],
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a, mod.n, mod.ninv);
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a = n_mulmod2_preinv(a, k, mod.n, mod.ninv);
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}
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}
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}
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void
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nmod_poly_exp_series_monomial_ui(nmod_poly_t res, mp_limb_t coeff,
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ulong power, slong n)
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{
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if (n == 0)
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{
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nmod_poly_zero(res);
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return;
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}
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if (coeff == UWORD(0))
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{
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nmod_poly_fit_length(res, 1);
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res->coeffs[0] = UWORD(1);
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res->length = 1;
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return;
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}
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if (power == 0)
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{
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flint_printf("Exception (nmod_poly_exp_series_monomial_ui). \n"
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"Constant term != 0.\n");
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abort();
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}
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if (coeff != UWORD(1))
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coeff = n_mod2_preinv(coeff, res->mod.n, res->mod.ninv);
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if (n == 1 || power >= n)
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{
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nmod_poly_fit_length(res, 1);
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res->coeffs[0] = UWORD(1);
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res->length = 1;
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}
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nmod_poly_fit_length(res, n);
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_nmod_poly_exp_series_monomial_ui(res->coeffs, coeff, power, n, res->mod);
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res->length = n;
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_nmod_poly_normalise(res);
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}
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