flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2023, 2025 Fredrik Johansson

    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 "ulong_extras.h"
#include "gr_poly.h"

int
test_compose_mod(flint_rand_t state, int which)
{
    gr_ctx_t ctx;
    gr_poly_t A, B, C, D, E, F, G;
    int status = GR_SUCCESS;

    while (1)
    {
        gr_ctx_init_random_commutative_ring(ctx, state);
        if (gr_ctx_is_finite(ctx) == T_TRUE || gr_ctx_has_real_prec(ctx) == T_TRUE)
            break;
        gr_ctx_clear(ctx);
    }

    gr_poly_init(A, ctx);
    gr_poly_init(B, ctx);
    gr_poly_init(C, ctx);
    gr_poly_init(D, ctx);
    gr_poly_init(E, ctx);
    gr_poly_init(F, ctx);
    gr_poly_init(G, ctx);

    GR_MUST_SUCCEED(gr_poly_randtest(A, state, 1 + n_randint(state, 15), ctx));
    GR_MUST_SUCCEED(gr_poly_randtest(B, state, 1 + n_randint(state, 15), ctx));
    GR_MUST_SUCCEED(gr_poly_randtest(C, state, 1 + n_randint(state, 15), ctx));
    GR_MUST_SUCCEED(gr_poly_randtest(D, state, 1 + n_randint(state, 15), ctx));

    switch (which)
    {
        case 0:
            status |= gr_poly_compose_mod_horner(D, A, B, C, ctx);
            break;
        case 1:
            status |= gr_poly_set(D, A, ctx);
            status |= gr_poly_compose_mod_horner(D, D, B, C, ctx);
            break;
        case 2:
            status |= gr_poly_set(D, B, ctx);
            status |= gr_poly_compose_mod_horner(D, A, D, C, ctx);
            break;
        case 3:
            status |= gr_poly_set(D, C, ctx);
            status |= gr_poly_compose_mod_horner(D, A, B, D, ctx);
            break;

        case 4:
            status |= gr_poly_compose_mod_brent_kung(D, A, B, C, ctx);
            break;
        case 5:
            status |= gr_poly_set(D, A, ctx);
            status |= gr_poly_compose_mod_brent_kung(D, D, B, C, ctx);
            break;
        case 6:
            status |= gr_poly_set(D, B, ctx);
            status |= gr_poly_compose_mod_brent_kung(D, A, D, C, ctx);
            break;
        case 7:
            status |= gr_poly_set(D, C, ctx);
            status |= gr_poly_compose_mod_brent_kung(D, A, B, D, ctx);
            break;

        case 8:
            status |= gr_poly_compose_mod(D, A, B, C, ctx);
            break;
        case 9:
            status |= gr_poly_set(D, A, ctx);
            status |= gr_poly_compose_mod(D, D, B, C, ctx);
            break;
        case 10:
            status |= gr_poly_set(D, B, ctx);
            status |= gr_poly_compose_mod(D, A, D, C, ctx);
            break;
        case 11:
            status |= gr_poly_set(D, C, ctx);
            status |= gr_poly_compose_mod(D, A, B, D, ctx);
            break;


        default:
            flint_abort();
    }

    if (status == GR_SUCCESS)
    {
        /* compare with naive composition */
        slong i;

        for (i = 0; i < A->length; i++)
        {
            if (i == 0)
                status |= gr_poly_one(F, ctx);
            else
                status |= gr_poly_mul(F, F, B, ctx);
            status |= gr_poly_rem(F, F, C, ctx);
            status |= gr_poly_mul_scalar(G, F, gr_poly_coeff_ptr(A, i, ctx), ctx);
            status |= gr_poly_add(E, E, G, ctx);
        }

        status |= gr_poly_rem(E, E, C, ctx);

        if (status == GR_SUCCESS && gr_poly_equal(D, E, ctx) == T_FALSE)
        {
            flint_printf("FAIL\n\n");
            flint_printf("which = %d\n\n", which);
            gr_ctx_println(ctx);
            flint_printf("A = "); gr_poly_print(A, ctx); flint_printf("\n");
            flint_printf("B = "); gr_poly_print(B, ctx); flint_printf("\n");
            flint_printf("C = "); gr_poly_print(C, ctx); flint_printf("\n");
            flint_printf("D = "); gr_poly_print(D, ctx); flint_printf("\n");
            flint_printf("E = "); gr_poly_print(E, ctx); flint_printf("\n");
            flint_abort();
        }
    }

    gr_poly_clear(A, ctx);
    gr_poly_clear(B, ctx);
    gr_poly_clear(C, ctx);
    gr_poly_clear(D, ctx);
    gr_poly_clear(E, ctx);
    gr_poly_clear(F, ctx);
    gr_poly_clear(G, ctx);

    gr_ctx_clear(ctx);

    return status;
}

TEST_FUNCTION_START(gr_poly_compose_mod, state)
{
    slong iter;

    for (iter = 0; iter < 1000 * flint_test_multiplier(); iter++)
    {
        test_compose_mod(state, n_randint(state, 12));
    }

    TEST_FUNCTION_END(state);
}