flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2008, 2009 William Hart
    Copyright (C) 2010, 2012 Sebastian Pancratz
    Copyright (C) 2013 Mike Hansen
    Copyright (C) 2024 Albin Ahlbäck

    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/>.
*/

#ifdef T

#include "templates.h"
#include "fmpz_poly.h"

void
_TEMPLATE(T, poly_mullow_KS) (TEMPLATE(T, struct) * rop,
                              const TEMPLATE(T, struct) * op1, slong len1,
                              const TEMPLATE(T, struct) * op2, slong len2,
                              slong n, const TEMPLATE(T, ctx_t) ctx)
{
    const slong d = TEMPLATE(T, ctx_degree) (ctx);
    slong bits, i, m;
    fmpz *f, *g, *h;

    TEMPLATE(CAP_T, VEC_NORM) (op1, len1, ctx);
    TEMPLATE(CAP_T, VEC_NORM) (op2, len2, ctx);

    if (!len1 | !len2)
    {
        _TEMPLATE(T, poly_zero) (rop, n, ctx);
        return;
    }

    bits = FLINT_BIT_COUNT(d) + FLINT_BIT_COUNT(FLINT_MIN(len1, len2));
#if defined(FQ_NMOD_POLY_H) || defined(FQ_ZECH_POLY_H)
    bits += 2 * FLINT_BIT_COUNT(TEMPLATE(T, ctx_prime)(ctx));
#else
    bits += 2 * fmpz_bits(TEMPLATE(T, ctx_prime)(ctx));
#endif

    f = _fmpz_vec_init(n + len1 + len2);
    g = f + n;
    h = g + len1;

    for (i = 0; i < len1; i++)
    {
        TEMPLATE(T, bit_pack) (g + i, op1 + i, bits, ctx);
    }
    for (i = 0; i < len2; i++)
    {
        TEMPLATE(T, bit_pack) (h + i, op2 + i, bits, ctx);
    }

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

    if (len1 >= len2)
        _fmpz_poly_mullow(f, g, len1, h, len2, m);
    else
        _fmpz_poly_mullow(f, h, len2, g, len1, m);

    for (i = 0; i < m; i++)
    {
        TEMPLATE(T, bit_unpack) (rop + i, f + i, bits, ctx);
    }
    for (; i < n; i++)
    {
        TEMPLATE(T, zero) (rop + i, ctx);
    }

    _fmpz_vec_clear(f, n + len1 + len2);
}

void
TEMPLATE(T, poly_mullow_KS) (TEMPLATE(T, poly_t) rop,
                             const TEMPLATE(T, poly_t) op1,
                             const TEMPLATE(T, poly_t) op2,
                             slong n, const TEMPLATE(T, ctx_t) ctx)
{
    const slong len1 = op1->length;
    const slong len2 = op2->length;

    if (len1 == 0 || len2 == 0 || n == 0)
    {
        TEMPLATE(T, poly_zero) (rop, ctx);
    }
    else
    {
        const slong lenr = op1->length + op2->length - 1;

        if (n > lenr)
            n = lenr;

        TEMPLATE(T, poly_fit_length) (rop, n, ctx);
        _TEMPLATE(T, poly_mullow_KS) (rop->coeffs, op1->coeffs, len1,
                                      op2->coeffs, len2, n, ctx);
        _TEMPLATE(T, poly_set_length) (rop, n, ctx);
        _TEMPLATE(T, poly_normalise) (rop, ctx);
    }
}


#endif