flint-sys 0.9.0

Bindings to the FLINT C library
Documentation
/*
    Copyright (C) 2007 David Howden
    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 "nmod.h"
#include "nmod_poly.h"
#include "fmpz.h"

/* Assumes len > 0, bits > 0. */
void
_nmod_poly_bit_unpack(nn_ptr res, slong nlo, slong nhi, nn_srcptr mpn, flint_bitcnt_t bits,
                      nmod_t mod)
{
    slong i;
    ulong current_bit = 0, current_limb = 0;
    ulong temp_lower, temp_upper, temp_upper2;

    if (nlo != 0)
    {
        current_limb = (nlo * bits) / FLINT_BITS;
        current_bit = (nlo * bits) % FLINT_BITS;
        res -= nlo;
    }

    if (bits < FLINT_BITS)
    {
        ulong boundary_limit_bit = FLINT_BITS - bits;

        ulong mask = (UWORD(1) << bits) - UWORD(1);

        for (i = nlo; i < nhi; i++)
        {
            if (current_bit > boundary_limit_bit)
            {
                temp_lower = mpn[current_limb++] >> current_bit;
                temp_upper = mpn[current_limb] << (FLINT_BITS - current_bit);

                temp_upper |= temp_lower;
                temp_upper &= mask;

                NMOD_RED(res[i], temp_upper, mod);

                current_bit += bits - FLINT_BITS;
            }
            else
            {
                /* the coeff will fit in the current limb */
                temp_upper = (mpn[current_limb] >> current_bit) & mask;

                NMOD_RED(res[i], temp_upper, mod);

                current_bit += bits;

                if (current_bit == FLINT_BITS)
                {
                    current_bit = 0;
                    current_limb++;
                }
            }
        }
    }
    else if (bits == FLINT_BITS)
    {
        for (i = nlo; i < nhi; i++)
            NMOD_RED(res[i], mpn[i], mod);
    }
    else if (bits == 2 * FLINT_BITS)
    {
        for (i = nlo; i < nhi; i++)
        {
            NMOD2_RED2(res[i], mpn[current_limb + 1], mpn[current_limb], mod);
            current_limb += 2;
        }
    }
    else if (bits < 2 * FLINT_BITS) /* FLINT_BITS < bits < 2*FLINT_BITS */
    {
        ulong double_boundary_limit_bit = 2 * FLINT_BITS - bits;

        ulong mask = (UWORD(1) << (bits - FLINT_BITS)) - UWORD(1);

        for (i = nlo; i < nhi; i++)
        {
            if (current_bit == 0)
            {
                temp_lower = mpn[current_limb++];
                temp_upper = mpn[current_limb] & mask;

                NMOD2_RED2(res[i], temp_upper, temp_lower, mod);

                current_bit = bits - FLINT_BITS;
            }
            else if (current_bit > double_boundary_limit_bit)
            {
                /* the coeff will be across two limb boundaries */
                temp_lower = mpn[current_limb++] >> current_bit;
                temp_lower |=
                    (mpn[current_limb] << (FLINT_BITS - current_bit));

                temp_upper = mpn[current_limb++] >> current_bit;
                temp_upper |=
                    (mpn[current_limb] << (FLINT_BITS - current_bit));
                temp_upper &= mask;

                NMOD2_RED2(res[i], temp_upper, temp_lower, mod);

                current_bit += bits - 2 * FLINT_BITS;
            }
            else
            {
                /* the coeff will be across one limb boundary */
                temp_lower =
                    (mpn[current_limb] >> current_bit) | (mpn[current_limb + 1]
                                                          << (FLINT_BITS -
                                                              current_bit));
                current_limb++;

                temp_upper = mpn[current_limb] >> current_bit;
                temp_upper &= mask;

                NMOD2_RED2(res[i], temp_upper, temp_lower, mod);

                current_bit += bits - FLINT_BITS;
                if (current_bit == FLINT_BITS)
                {
                    current_bit = 0;
                    current_limb++;
                }
            }
        }
    }
    else                        /* 2*FLINT_BITS < bits < 3*FLINT_BITS */
    {
        ulong double_boundary_limit_bit = 3 * FLINT_BITS - bits;

        ulong mask = (UWORD(1) << (bits - 2 * FLINT_BITS)) - UWORD(1);

        for (i = nlo; i < nhi; i++)
        {
            if (current_bit == 0)
            {
                temp_lower = mpn[current_limb++];
                temp_upper = mpn[current_limb++];
                temp_upper2 = mpn[current_limb] & mask;

                NMOD_RED3(res[i], temp_upper2, temp_upper, temp_lower, mod);

                current_bit = bits - 2 * FLINT_BITS;
            }
            else if (current_bit <= double_boundary_limit_bit)
            {
                /* the coeff will be across two limb boundaries */
                temp_lower = mpn[current_limb++] >> current_bit;
                temp_lower |=
                    (mpn[current_limb] << (FLINT_BITS - current_bit));

                temp_upper = mpn[current_limb++] >> current_bit;
                temp_upper |=
                    (mpn[current_limb] << (FLINT_BITS - current_bit));

                temp_upper2 = mpn[current_limb] >> current_bit;
                temp_upper2 &= mask;

                NMOD_RED3(res[i], temp_upper2, temp_upper, temp_lower, mod);

                current_bit += bits - 2 * FLINT_BITS;
                if (current_bit == FLINT_BITS)
                {
                    current_bit = 0;
                    current_limb++;
                }
            }
            else
            {
                /* the coeff will be across three limb boundaries */
                temp_lower = mpn[current_limb++] >> current_bit;
                temp_lower |=
                    (mpn[current_limb] << (FLINT_BITS - current_bit));

                temp_upper = mpn[current_limb++] >> current_bit;
                temp_upper |=
                    (mpn[current_limb] << (FLINT_BITS - current_bit));

                temp_upper2 = mpn[current_limb++] >> current_bit;
                temp_upper2 |=
                    (mpn[current_limb] << (FLINT_BITS - current_bit));

                temp_upper2 &= mask;

                NMOD_RED3(res[i], temp_upper2, temp_upper, temp_lower, mod);

                current_bit += bits - 3 * FLINT_BITS;
            }
        }
    }
}

void
nmod_poly_bit_unpack(nmod_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 (nmod_poly_bit_unpack). f < 0.\n");
    }

    if (bit_size == 0 || fmpz_is_zero(f))
    {
        nmod_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);

    nmod_poly_fit_length(poly, len);

    _nmod_poly_bit_unpack(poly->coeffs, 0, len, tmp->_mp_d, bit_size, poly->mod);
    poly->length = len;
    _nmod_poly_normalise(poly);

    mpz_clear(tmp);
}