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_poly.h"
#include "fmpz.h"

#define r_shift(in, c) (((c) == FLINT_BITS) ? WORD(0) : ((in) >> (c)))

/* Assumes length > 0, bits > 0. */
void
_nmod_poly_bit_pack(nn_ptr res, nn_srcptr poly, slong len, flint_bitcnt_t bits)
{
    slong i;
    ulong current_bit = 0, current_limb = 0;
    ulong total_limbs = (len * bits - 1) / FLINT_BITS + 1;
    ulong temp_lower, temp_upper;

    res[0] = WORD(0);

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

        for (i = 0; i < len; i++)
        {
            if (current_bit > boundary_limit_bit)
            {
                /* the coefficient will be added across a limb boundary */
                temp_lower = (poly[i] << current_bit);
                temp_upper = (poly[i] >> (FLINT_BITS - current_bit));

                res[current_limb] |= temp_lower;

                current_limb++;
                res[current_limb] = temp_upper;

                current_bit += bits - FLINT_BITS;
            }
            else
            {
                /* the coefficient will fit in the current limb */
                temp_lower = poly[i] << current_bit;
                res[current_limb] |= temp_lower;

                current_bit += bits;

                if (current_bit == FLINT_BITS)
                {
                    current_limb++;
                    if (current_limb < total_limbs)
                        res[current_limb] = WORD(0);
                    current_bit = 0;
                }
            }
        }
    }
    else if (bits == FLINT_BITS)
    {
        for (i = 0; i < len; i++)
            res[i] = poly[i];
    }
    else if (bits == 2 * FLINT_BITS)
    {
        for (i = 0; i < len; i++)
        {
            res[current_limb++] = poly[i];
            res[current_limb++] = WORD(0);
        }
    }
    else if (bits < 2 * FLINT_BITS)
    {
        for (i = 0; i < len; i++)
        {
            /* the coefficient will be added across a limb boundary */
            temp_lower = poly[i] << current_bit;
            temp_upper = r_shift(poly[i], FLINT_BITS - current_bit);

            res[current_limb++] |= temp_lower;
            res[current_limb] = temp_upper;

            current_bit += bits - FLINT_BITS;

            if (current_bit >= FLINT_BITS)
            {
                current_bit -= FLINT_BITS;
                current_limb++;
                if (current_limb < total_limbs)
                    res[current_limb] = WORD(0);
            }
        }
    }
    else                        /* 2*FLINT_BITS < bits < 3*FLINT_BITS */
    {
        for (i = 0; i < len; i++)
        {
            temp_lower = poly[i] << current_bit;
            temp_upper = r_shift(poly[i], FLINT_BITS - current_bit);

            res[current_limb++] |= temp_lower;
            res[current_limb++] = temp_upper;

            if (current_limb < total_limbs)
                res[current_limb] = WORD(0);
            current_bit += bits - 2 * FLINT_BITS;

            if (current_bit >= FLINT_BITS)
            {
                current_bit -= FLINT_BITS;
                current_limb++;
                if (current_limb < total_limbs)
                    res[current_limb] = WORD(0);
            }
        }
    }
}

void
nmod_poly_bit_pack(fmpz_t f, const nmod_poly_t poly,
                   flint_bitcnt_t bit_size)
{
    slong len, limbs;
    mpz_ptr mpz;
    mp_ptr mp;
    slong i;

    len = nmod_poly_length(poly);

    if (len == 0 || bit_size == 0)
    {
        fmpz_zero(f);
        return;
    }

    mpz = _fmpz_promote(f);
    limbs = (len * bit_size - 1) / FLINT_BITS + 1;
    mp = FLINT_MPZ_REALLOC(mpz, limbs);

    _nmod_poly_bit_pack(mp, poly->coeffs, len, bit_size);

    for (i = limbs - 1; i >= 0; i--)
    {
        if (mp[i] != 0)
            break;
    }

    mpz->_mp_size = i + 1;
    _fmpz_demote_val(f);
}