flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2021 Daniel Schultz

    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 "mpoly.h"
#include "fmpz_mod_mpoly.h"

void fmpz_mod_mpoly_get_coeff_vars_ui(
    fmpz_mod_mpoly_t C,
    const fmpz_mod_mpoly_t A,
    const slong * vars,
    const ulong * exps,
    slong length,
    const fmpz_mod_mpoly_ctx_t ctx)
{
    slong i, j, N;
    slong offset, shift;
    slong maxoffset, minoffset;
    ulong * uexp;
    ulong * tmask, * texp;
    slong nvars = ctx->minfo->nvars;
    fmpz * Ccoeff;
    ulong * Cexp;
    slong Clen;
    TMP_INIT;

    if (C == A)
    {
        fmpz_mod_mpoly_t T;
        fmpz_mod_mpoly_init(T, ctx);
        fmpz_mod_mpoly_get_coeff_vars_ui(T, A, vars, exps,length, ctx);
        fmpz_mod_mpoly_swap(T, C, ctx);
        fmpz_mod_mpoly_clear(T, ctx);
        return;
    }

    TMP_START;

    uexp = (ulong *) TMP_ALLOC(nvars*sizeof(ulong));
    for (i = 0; i < nvars; i++)
        uexp[i] = 0;

    for (i = 0; i < length; i++)
        uexp[vars[i]] = exps[i];

    if (A->bits < mpoly_exp_bits_required_ui(uexp, ctx->minfo))
    {
        fmpz_mod_mpoly_zero(C, ctx);
        goto cleanup;
    }

    fmpz_mod_mpoly_fit_length_reset_bits(C, 4, A->bits, ctx);

    N = mpoly_words_per_exp(A->bits, ctx->minfo);
    tmask = (ulong *) TMP_ALLOC(N*sizeof(ulong));
    texp = (ulong *) TMP_ALLOC(N*sizeof(ulong));
    mpoly_monomial_zero(tmask, N);
    mpoly_set_monomial_ui(texp, uexp, A->bits, ctx->minfo);

    Ccoeff = C->coeffs;
    Cexp = C->exps;
    Clen = 0;

    if (A->bits <= FLINT_BITS)
    {
        ulong mask = (-UWORD(1)) >> (FLINT_BITS - A->bits);
        maxoffset = 0;
        minoffset = N;
        for (i = 0; i < length; i++)
        {
            mpoly_gen_offset_shift_sp(&offset, &shift, vars[i], A->bits, ctx->minfo);
            tmask[offset] |= mask << shift;
            maxoffset = FLINT_MAX(maxoffset, offset);
            minoffset = FLINT_MIN(minoffset, offset);
        }
        FLINT_ASSERT(minoffset < N);

        for (i = 0; i < A->length; i++)
        {
            for (j = minoffset; j <= maxoffset; j++)
            {
                if ((((A->exps + N*i)[j] ^ texp[j]) & tmask[j]) != UWORD(0))
                    goto continue_outer_sp;
            }
            _fmpz_mod_mpoly_fit_length(&Ccoeff, &C->coeffs_alloc,
                                       &Cexp, &C->exps_alloc, N, Clen + 1);
            mpoly_monomial_sub(Cexp + N*Clen, A->exps + N*i, texp, N);
            fmpz_set(Ccoeff + Clen, A->coeffs + i);
            Clen++;
continue_outer_sp:;
        }
    }
    else
    {
        slong wpf = A->bits/FLINT_BITS;
        maxoffset = 0;
        minoffset = N;
        for (i = 0; i < length; i++)
        {
            offset = mpoly_gen_offset_mp(vars[i], A->bits, ctx->minfo);
            minoffset = FLINT_MIN(minoffset, offset);
            maxoffset = FLINT_MAX(maxoffset, offset + wpf - 1);
            for (j = 0; j < wpf; j++)
                tmask[offset + j] = -UWORD(1);
        }
        FLINT_ASSERT(minoffset < N);

        for (i = 0; i < A->length; i++)
        {
            for (j = minoffset; j <= maxoffset; j++)
            {
                if ((((A->exps + N*i)[j] ^ texp[j]) & tmask[j]) != UWORD(0))
                    goto continue_outer_mp;
            }
            _fmpz_mod_mpoly_fit_length(&Ccoeff, &C->coeffs_alloc,
                                       &Cexp, &C->exps_alloc, N, Clen + 1);
            mpoly_monomial_sub_mp(Cexp + N*Clen, A->exps + N*i, texp, N);
            fmpz_set(Ccoeff + Clen, A->coeffs + i);
            Clen++;
continue_outer_mp:;
        }
    }

    C->coeffs = Ccoeff;
    C->exps = Cexp;
    _fmpz_mod_mpoly_set_length(C, Clen, ctx);

cleanup:

    TMP_END;
    return;
}