flint-sys 0.9.0

Bindings to the FLINT C library
Documentation
/*
    Copyright (C) 2010 Sebastian Pancratz
    Copyright (C) 2011 Fredrik Johansson

    This file is part of FLINT.

    FLINT is free software: you can redistribute it and/or modify it under
    the terms of the GNU Lesser General Public License (LGPL) as published
    by the Free Software Foundation; either version 3 of the License, or
    (at your option) any later version.  See <https://www.gnu.org/licenses/>.
*/

#include "nmod_poly.h"
#include "gr_poly.h"

void
_nmod_poly_compose_series(nn_ptr res, nn_srcptr poly1, slong len1,
                            nn_srcptr poly2, slong len2, slong n, nmod_t mod)
{
    gr_ctx_t ctx;
    _gr_ctx_init_nmod(ctx, &mod);
    GR_MUST_SUCCEED(_gr_poly_compose_series(res, poly1, len1, poly2, len2, n, ctx));
}

void
nmod_poly_compose_series(nmod_poly_t res,
                    const nmod_poly_t poly1, const nmod_poly_t poly2, slong n)
{
    slong len1 = poly1->length;
    slong len2 = poly2->length;
    slong lenr;

    if (len2 != 0 && poly2->coeffs[0] != 0)
    {
        flint_throw(FLINT_ERROR, "(nmod_poly_compose_series): "
                "Inner polynomial must have zero constant term.\n");
    }

    if (len1 == 0 || n == 0)
    {
        nmod_poly_zero(res);
        return;
    }

    if (len2 == 0 || len1 == 1)
    {
        nmod_poly_fit_length(res, 1);
        res->coeffs[0] = poly1->coeffs[0];
        res->length = 1;
        _nmod_poly_normalise(res);
        return;
    }

    lenr = FLINT_MIN((len1 - 1) * (len2 - 1) + 1, n);
    len1 = FLINT_MIN(len1, lenr);
    len2 = FLINT_MIN(len2, lenr);

    if ((res != poly1) && (res != poly2))
    {
        nmod_poly_fit_length(res, lenr);
        _nmod_poly_compose_series(res->coeffs, poly1->coeffs, len1,
                                        poly2->coeffs, len2, lenr, res->mod);
        res->length = lenr;
        _nmod_poly_normalise(res);
    }
    else
    {
        nmod_poly_t t;
        nmod_poly_init2_preinv(t, res->mod.n, res->mod.ninv, lenr);
        _nmod_poly_compose_series(t->coeffs, poly1->coeffs, len1,
                                        poly2->coeffs, len2, lenr, res->mod);
        t->length = lenr;
        _nmod_poly_normalise(t);
        nmod_poly_swap(res, t);
        nmod_poly_clear(t);
    }
}