/*
    Copyright (C) 2011 William Hart
    Copyright (C) 2011 Sebastian Pancratz
    Copyright (C) 2013 Martin Lee
    Copyright (C) 2013 Mike Hansen

    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 2.1 of the License, or
    (at your option) any later version.  See <https://www.gnu.org/licenses/>.
*/

#ifdef T

#include "templates.h"

void
_TEMPLATE(T, poly_div_newton_n_preinv) (
    TEMPLATE(T, struct) *Q,
    const TEMPLATE(T, struct) *A, slong lenA,
    const TEMPLATE(T, struct) *B, slong lenB,
    const TEMPLATE(T, struct) * Binv, slong lenBinv,
    const TEMPLATE(T, ctx_t) ctx)
{
    const slong lenQ = lenA - lenB + 1;
    TEMPLATE(T, struct) * Arev;

    Arev = _TEMPLATE(T, vec_init) (lenQ, ctx);

    _TEMPLATE(T, poly_reverse) (Arev, A + (lenA - lenQ), lenQ, lenQ, ctx);

    _TEMPLATE(T, poly_mullow) (Q, Arev, lenQ, Binv, FLINT_MIN(lenQ, lenBinv),
                               lenQ, ctx);

    _TEMPLATE(T, poly_reverse) (Q, Q, lenQ, lenQ, ctx);

    _TEMPLATE(T, vec_clear) (Arev, lenQ, ctx);
}

void
TEMPLATE(T, poly_div_newton_n_preinv) (TEMPLATE(T, poly_t) Q,
                                       const TEMPLATE(T, poly_t) A,
                                       const TEMPLATE(T, poly_t) B,
                                       const TEMPLATE(T, poly_t) Binv,
                                       const TEMPLATE(T, ctx_t) ctx)
{
    const slong lenA = A->length,
        lenB = B->length, lenQ = lenA - lenB + 1, lenBinv = Binv->length;

    TEMPLATE(T, struct) * q;

    if (lenB == 0)
    {
        TEMPLATE_PRINTF("Exception (%s_poly_div_newton). Division by zero.\n",
                        T);
        flint_abort();
    }

    if (lenA < lenB)
    {
        TEMPLATE(T, poly_zero) (Q, ctx);
        return;
    }

    if (Q == A || Q == B || Q == Binv)
    {
        q = _TEMPLATE(T, vec_init) (lenQ, ctx);
    }
    else
    {
        TEMPLATE(T, poly_fit_length) (Q, lenQ, ctx);
        q = Q->coeffs;
    }

    _TEMPLATE(T, poly_div_newton_n_preinv) (q, A->coeffs, lenA, B->coeffs,
                                            lenB, Binv->coeffs, lenBinv, ctx);

    if (Q == A || Q == B || Q == Binv)
    {
        TEMPLATE(T, poly_clear) (Q, ctx);
        Q->coeffs = q;
        Q->alloc = lenQ;
    }
    Q->length = lenQ;
}


#endif