flint-sys 0.9.0

/*
    Copyright (C) 2020 Daniel Schultz
    Copyright (C) 2023 Albin Ahlbäck

    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 "test_helpers.h"
#include "fmpz_mod_mpoly_factor.h"

/* Defined in t-factor.c, t-factor_wang.c, t-factor_zassenhaus.c, t-factor_zippel.c */
#ifndef check_omega
#define check_omega check_omega
/* check total number of factors with multiplicity is between lower and upper */
void check_omega(
    slong lower,
    slong upper,
    const fmpz_mod_mpoly_t p,
    const fmpz_mod_mpoly_ctx_t ctx,
    int factor_fun(fmpz_mod_mpoly_factor_t, const fmpz_mod_mpoly_t, const fmpz_mod_mpoly_ctx_t))
{
    slong i;
    fmpz_mod_mpoly_t q;
    fmpz_mod_mpoly_factor_t g, h;
    fmpz_t omega;

    fmpz_init(omega);
    fmpz_mod_mpoly_factor_init(g, ctx);
    fmpz_mod_mpoly_factor_init(h, ctx);
    fmpz_mod_mpoly_init(q, ctx);

    if (!factor_fun(g, p, ctx))
    {
        flint_printf("FAIL:\nfactorization 1 could be computed\n");
        fflush(stdout);
        flint_abort();
    }

    if (factor_fun != fmpz_mod_mpoly_factor)
        if (!fmpz_mod_mpoly_factor(h, p, ctx))
        {
            flint_printf("FAIL:\nfactorization 2 could be computed\n");
            fflush(stdout);
            flint_abort();
        }

    for (i = 0; i < g->num; i++)
    {
        if (g->poly[i].length < 1 || !fmpz_is_one(g->poly[i].coeffs + 0))
        {
            flint_printf("FAIL:\nfactorization is not unit normal\n");
            fflush(stdout);
            flint_abort();
        }
    }

    fmpz_zero(omega);
    for (i = 0; i < g->num; i++)
        fmpz_add(omega, omega, g->exp + i);

    if (fmpz_cmp_si(omega, lower) < 0 || fmpz_cmp_si(omega, upper) > 0)
    {
        flint_printf("FAIL:\nfactorization has wrong number of factors\n");
        fflush(stdout);
        flint_abort();
    }

    fmpz_mod_mpoly_factor_expand(q, g, ctx);
    if (!fmpz_mod_mpoly_equal(q, p, ctx))
    {
        flint_printf("FAIL:\nfactorization does not match original polynomial\n");
        fflush(stdout);
        flint_abort();
    }

    if (factor_fun != fmpz_mod_mpoly_factor)
    {
        fmpz_mod_mpoly_factor_sort(g, ctx);
        fmpz_mod_mpoly_factor_sort(h, ctx);
        if (fmpz_mod_mpoly_factor_cmp(g, h, ctx) != 0)
        {
            flint_printf("FAIL:\nfactorizations do not match\n");
            fflush(stdout);
            flint_abort();
        }
    }

    for (i = 0; i < g->num; i++)
    {
        fmpz_mod_mpoly_factor(h, g->poly + i, ctx);
        if (h->num != 1 || !fmpz_is_one(h->exp + 0))
        {
            flint_printf("FAIL:\nfactor is reducible\n");
            fflush(stdout);
            flint_abort();
        }
    }

    fmpz_mod_mpoly_clear(q, ctx);
    fmpz_mod_mpoly_factor_clear(g, ctx);
    fmpz_mod_mpoly_factor_clear(h, ctx);
    fmpz_clear(omega);
}
#endif

TEST_FUNCTION_START(fmpz_mod_mpoly_factor, state)
{
    slong i, j, tmul = 30;

    for (i = 0; i < tmul*flint_test_multiplier(); i++)
    {
        slong lower;
        fmpz_mod_mpoly_ctx_t ctx;
        fmpz_mod_mpoly_t a, t;
        slong nfacs, len;
        ulong expbound, powbound, pow, expbounds[2];

        fmpz_mod_mpoly_ctx_init_rand_bits_prime(ctx, state, 2, 200);

        fmpz_mod_mpoly_init(a, ctx);
        fmpz_mod_mpoly_init(t, ctx);

        nfacs = 5 + n_randint(state, 5);
        powbound = 1 + n_randint(state, 3);
        expbound = 3 + 70/nfacs/powbound;

        lower = 0;
        fmpz_mod_mpoly_one(a, ctx);
        for (j = 0; j < nfacs; j++)
        {
            len = 1 + n_randint(state, 10);
            expbounds[0] = 1 + n_randint(state, expbound);
            expbounds[1] = 1 + n_randint(state, expbound);
            fmpz_mod_mpoly_randtest_bounds(t, state, len, expbounds, ctx);
            if (fmpz_mod_mpoly_is_zero(t, ctx))
                fmpz_mod_mpoly_one(t, ctx);
            pow = 1 + n_randint(state, powbound);
            if (!fmpz_mod_mpoly_is_fmpz(t, ctx))
                lower += pow;
            fmpz_mod_mpoly_pow_ui(t, t, pow, ctx);
            fmpz_mod_mpoly_mul(a, a, t, ctx);
        }

        check_omega(lower, WORD_MAX, a, ctx, fmpz_mod_mpoly_factor);

        fmpz_mod_mpoly_clear(t, ctx);
        fmpz_mod_mpoly_clear(a, ctx);
        fmpz_mod_mpoly_ctx_clear(ctx);
    }

    for (i = 0; i < tmul * flint_test_multiplier(); i++)
    {
        slong lower;
        fmpz_mod_mpoly_ctx_t ctx;
        fmpz_mod_mpoly_t a, t;
        slong n, nfacs, len;
        ulong expbound, powbound, pow;

        fmpz_mod_mpoly_ctx_init_rand_bits_prime(ctx, state, 10, 200);

        fmpz_mod_mpoly_init(a, ctx);
        fmpz_mod_mpoly_init(t, ctx);

        n = FLINT_MAX(WORD(1), ctx->minfo->nvars);
        nfacs = 1 + (6 + n_randint(state, 6))/n;
        powbound = 1 + n_randint(state, 3);
        powbound = 1 + n_randint(state, powbound);
        expbound = 3 + 100/nfacs/n/powbound;

        lower = 0;
        fmpz_mod_mpoly_one(a, ctx);
        for (j = 0; j < nfacs; j++)
        {
            len = 1 + n_randint(state, 10/powbound);
            fmpz_mod_mpoly_randtest_bound(t, state, len, expbound, ctx);
            if (fmpz_mod_mpoly_is_zero(t, ctx))
                fmpz_mod_mpoly_one(t, ctx);
            pow = 1 + n_randint(state, powbound);
            if (!fmpz_mod_mpoly_is_fmpz(t, ctx))
                lower += pow;
            fmpz_mod_mpoly_pow_ui(t, t, pow, ctx);
            fmpz_mod_mpoly_mul(a, a, t, ctx);
        }

        check_omega(lower, WORD_MAX, a, ctx, fmpz_mod_mpoly_factor);

        fmpz_mod_mpoly_clear(t, ctx);
        fmpz_mod_mpoly_clear(a, ctx);
        fmpz_mod_mpoly_ctx_clear(ctx);
    }

    TEST_FUNCTION_END(state);
}