flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2010 William Hart

    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 "mpn_extras.h"
#include "fmpz.h"
#include "fmpz_poly.h"

int
_fmpz_poly_bit_unpack(fmpz * poly, slong nlo, slong nhi,
                      nn_srcptr arr, flint_bitcnt_t bit_size, int negate)
{
    flint_bitcnt_t bits = 0;
    slong limbs = 0;
    flint_bitcnt_t b = bit_size % FLINT_BITS;
    slong l = bit_size / FLINT_BITS;
    int borrow = 0;
    slong i;

    if (nlo != 0)
    {
        borrow = (arr[(nlo * bit_size - 1) / FLINT_BITS] >>
            ((nlo * bit_size - 1) % FLINT_BITS)) & 1;
        limbs = (nlo * bit_size) / FLINT_BITS;
        bits = (nlo * bit_size) % FLINT_BITS;
    }

    for (i = nlo; i < nhi; i++)
    {
        borrow =
            fmpz_bit_unpack(poly + i - nlo, arr + limbs, bits, bit_size, negate,
                            borrow);
        limbs += l;
        bits += b;
        if (bits >= FLINT_BITS)
        {
            bits -= FLINT_BITS;
            limbs++;
        }
    }

    return borrow;
}

void
_fmpz_poly_bit_unpack_unsigned(fmpz * poly, slong nlo, slong nhi,
                               nn_srcptr arr, flint_bitcnt_t bit_size)
{
    flint_bitcnt_t bits = 0;
    slong limbs = 0;
    flint_bitcnt_t b = bit_size % FLINT_BITS;
    slong l = bit_size / FLINT_BITS;
    slong i;

    if (nlo != 0)
    {
        limbs = (nlo * bit_size) / FLINT_BITS;
        bits = (nlo * bit_size) % FLINT_BITS;
    }

    for (i = nlo; i < nhi; i++)
    {
        fmpz_bit_unpack_unsigned(poly + i - nlo, arr + limbs, bits, bit_size);
        limbs += l;
        bits += b;
        if (bits >= FLINT_BITS)
        {
            bits -= FLINT_BITS;
            limbs++;
        }
    }
}


void
fmpz_poly_bit_unpack_unsigned(fmpz_poly_t poly, const fmpz_t f,
                                        flint_bitcnt_t bit_size)
{
    slong len;
    mpz_t tmp;

    if (fmpz_sgn(f) < 0)
    {
        flint_throw(FLINT_ERROR, "Exception (fmpz_poly_bit_unpack_unsigned). Expected an unsigned value.\n");
    }

    if (bit_size == 0 || fmpz_is_zero(f))
    {
        fmpz_poly_zero(poly);
        return;
    }

    len = (fmpz_bits(f) + bit_size - 1) / bit_size;

    mpz_init2(tmp, bit_size*len);
    flint_mpn_zero(tmp->_mp_d, tmp->_mp_alloc);
    fmpz_get_mpz(tmp, f);

    fmpz_poly_fit_length(poly, len);

    _fmpz_poly_bit_unpack_unsigned(poly->coeffs, 0, len, tmp->_mp_d, bit_size);
    _fmpz_poly_set_length(poly, len);
    _fmpz_poly_normalise(poly);

    mpz_clear(tmp);
}


void
fmpz_poly_bit_unpack(fmpz_poly_t poly, const fmpz_t f, flint_bitcnt_t bit_size)
{
    slong len;
    mpz_t tmp;
    int negate, borrow;

    if (bit_size == 0 || fmpz_is_zero(f))
    {
        fmpz_poly_zero(poly);
        return;
    }

    /* Round up */
    len = (fmpz_bits(f) + bit_size - 1) / bit_size;
    negate = (fmpz_sgn(f) < 0) ? -1 : 0;

    mpz_init2(tmp, bit_size*len);

    /* TODO: avoid all this wastefulness */
    flint_mpn_zero(tmp->_mp_d, tmp->_mp_alloc);
    fmpz_get_mpz(tmp, f);

    fmpz_poly_fit_length(poly, len + 1);

    borrow = _fmpz_poly_bit_unpack(poly->coeffs, 0, len,
                    tmp->_mp_d, bit_size, negate);

    if (borrow)
    {
        fmpz_set_si(poly->coeffs + len, negate ? WORD(-1) : WORD(1));
        _fmpz_poly_set_length(poly, len + 1);
    }
    else
    {
        _fmpz_poly_set_length(poly, len);
        _fmpz_poly_normalise(poly);
    }

    mpz_clear(tmp);
}