flint-sys 0.9.0

Bindings to the FLINT C library
Documentation
/*
    Copyright (C) 2020 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 "fmpz.h"
#include "fmpz_poly.h"
#include "mpoly.h"
#include "fmpz_mpoly_factor.h"

void fmpz_bpoly_clear(fmpz_bpoly_t A)
{
    if (A->alloc > 0)
    {
        slong i;
        for (i = 0; i < A->alloc; i++)
            fmpz_poly_clear(A->coeffs + i);
        flint_free(A->coeffs);
    }
}

void fmpz_bpoly_print_pretty(fmpz_bpoly_t A, const char * var0, const char * var1)
{
    slong i;
    int first = 1;

    for (i = A->length - 1; i >= 0; i--)
    {
        if (fmpz_poly_is_zero(A->coeffs + i))
            continue;

        if (!first)
            flint_printf(" + ");
        first = 0;

        flint_printf("(");
        fmpz_poly_print_pretty(A->coeffs + i, var1);
        flint_printf(")*%s^%wd", var0, i);
    }

    if (first)
        flint_printf("0");
}

void fmpz_bpoly_realloc(fmpz_bpoly_t A, slong len)
{
    slong i;
    slong old_alloc = A->alloc;

    if (len <= old_alloc)
        return;

    len = FLINT_MAX(len, 2*old_alloc);

    if (A->alloc == 0)
        A->coeffs = (fmpz_poly_struct *) flint_malloc(
                                               len * sizeof(fmpz_poly_struct));
    else
        A->coeffs = (fmpz_poly_struct *) flint_realloc(A->coeffs,
                                               len * sizeof(fmpz_poly_struct));

    for (i = old_alloc; i < len; i++)
        fmpz_poly_init(A->coeffs + i);

    A->alloc = len;
}

slong fmpz_bpoly_degree1(const fmpz_bpoly_t A)
{
    slong i, len = 0;
    for (i = 0; i < A->length; i++)
        len = FLINT_MAX(len, A->coeffs[i].length);
    return len - 1;
}

void fmpz_bpoly_set_coeff(fmpz_bpoly_t A, slong xi, slong yi, const fmpz_t c)
{
    slong i;

    FLINT_ASSERT(!fmpz_is_zero(c));

    if (xi >= A->length)
    {
        fmpz_bpoly_fit_length(A, xi + 1);
        for (i = A->length; i <= xi; i++)
            fmpz_poly_zero(A->coeffs + i);
        A->length = xi + 1;
    }

    fmpz_poly_set_coeff_fmpz(A->coeffs + xi, yi, c);
}

void fmpz_mpoly_set_fmpz_bpoly(
    fmpz_mpoly_t A,
    flint_bitcnt_t Abits,
    const fmpz_bpoly_t B,
    slong varx,
    slong vary,
    const fmpz_mpoly_ctx_t ctx)
{
    slong n = ctx->minfo->nvars;
    slong i, j;
    slong NA;
    slong Alen;
    fmpz * Acoeff;
    ulong * Aexp;
    slong Aalloc;
    ulong * Aexps;
    TMP_INIT;

    FLINT_ASSERT(B->length > 0);
    FLINT_ASSERT(Abits <= FLINT_BITS);

    TMP_START;

    Aexps = (ulong *) TMP_ALLOC(n*sizeof(ulong));
    for (i = 0; i < n; i++)
        Aexps[i] = 0;

    NA = mpoly_words_per_exp(Abits, ctx->minfo);
    fmpz_mpoly_fit_bits(A, Abits, ctx);
    A->bits = Abits;

    Acoeff = A->coeffs;
    Aexp = A->exps;
    Aalloc = A->alloc;
    Alen = 0;
    for (i = 0; i < B->length; i++)
    {
        fmpz_poly_struct * Bc = B->coeffs + i;
        _fmpz_mpoly_fit_length(&Acoeff, &Aexp, &Aalloc, Alen + Bc->length, NA);

        for (j = 0; j < Bc->length; j++)
        {
            if (fmpz_is_zero(Bc->coeffs + j))
                continue;
            Aexps[varx] = i;
            Aexps[vary] = j;
            fmpz_set(Acoeff + Alen, Bc->coeffs + j);
            mpoly_set_monomial_ui(Aexp + NA*Alen, Aexps, Abits, ctx->minfo);
            Alen++;
        }
    }
    A->coeffs = Acoeff;
    A->exps = Aexp;
    A->alloc = Aalloc;
    _fmpz_mpoly_set_length(A, Alen, ctx);

    fmpz_mpoly_sort_terms(A, ctx);
    TMP_END;
}

void fmpz_mpoly_get_bpoly(
    fmpz_bpoly_t A,
    const fmpz_mpoly_t B,
    slong varx,
    slong vary,
    const fmpz_mpoly_ctx_t ctx)
{
    slong j;
    slong NB;
    ulong Bexpx, Bexpy;
    slong Boffx, Bshiftx, Boffy, Bshifty;
    ulong mask;

    FLINT_ASSERT(B->bits <= FLINT_BITS);
    NB = mpoly_words_per_exp_sp(B->bits, ctx->minfo);

    mpoly_gen_offset_shift_sp(&Boffx, &Bshiftx, varx, B->bits, ctx->minfo);
    mpoly_gen_offset_shift_sp(&Boffy, &Bshifty, vary, B->bits, ctx->minfo);
    mask = (-UWORD(1)) >> (FLINT_BITS - B->bits);

    fmpz_bpoly_zero(A);

    for (j = 0; j < B->length; j++)
    {
        Bexpx = ((B->exps + NB*j)[Boffx] >> Bshiftx) & mask;
        Bexpy = ((B->exps + NB*j)[Boffy] >> Bshifty) & mask;
        fmpz_bpoly_set_coeff(A, Bexpx, Bexpy, B->coeffs + j);
    }
}