Ejemplo n.º 1
0
static
void fmpz_poly_evaluate_qadic(qadic_t rop,
                              const fmpz_poly_t op1, const qadic_t op2, const qadic_ctx_t ctx)
{
    const long N = qadic_prec(rop);
    const long d = qadic_ctx_degree(ctx);

    if (N <= 0 || op2->val != 0 || rop == op2)
    {
        printf("Exception (fmpz_poly_evaluate_qadic):\n");
        printf("Currently assumes that N > 0 and op2->val == 0, \n");
        printf("and does not support aliasing.\n");
        abort();
    }

    if (fmpz_poly_is_zero(op1))
    {
        qadic_zero(rop);
    }
    else if (qadic_is_zero(op2))
    {
        padic_poly_set_fmpz(rop, op1->coeffs + 0, &ctx->pctx);
    }
    else
    {
        fmpz_t pN;

        fmpz_init(pN);
        fmpz_pow_ui(pN, (&ctx->pctx)->p, N);

        padic_poly_fit_length(rop, d);
        _fmpz_mod_poly_compose_smod(rop->coeffs,
                                    op1->coeffs, op1->length, op2->coeffs, op2->length,
                                    ctx->a, ctx->j, ctx->len, pN);
        _padic_poly_set_length(rop, d);
        qadic_reduce(rop, ctx);

        fmpz_clear(pN);
    }
}
Ejemplo n.º 2
0
int
main(void)
{
    int i, result;
    FLINT_TEST_INIT(state);

    flint_printf("norm... ");
    fflush(stdout);

    

    /* Compare with product of Galois conjugates */
    for (i = 0; i < 2000; i++)
    {
        fmpz_t p;
        slong d, N;
        qadic_ctx_t ctx;

        qadic_t a, b, c;
        padic_t x, y;
        slong j;
        int ans;

        fmpz_init_set_ui(p, n_randprime(state, 2 + n_randint(state, 3), 1));
        d = n_randint(state, 10) + 1;
        N = z_randint(state, 50) + 1;
        qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "a", PADIC_SERIES);

        qadic_init2(a, N);
        qadic_init2(b, N);
        qadic_init2(c, N);
        padic_init2(x, N);
        padic_init2(y, N);

        qadic_randtest_val(a, state, 0, ctx);
        qadic_reduce(a, ctx);

        qadic_norm(x, a, ctx);

        qadic_one(b);
        for (j = 0; j < d; j++)
        {
            qadic_frobenius(c, a, j, ctx);
            qadic_mul(b, b, c, ctx);
        }
        ans = qadic_get_padic(y, b, ctx);

        result = (ans && padic_equal(x, y));
        if (!result)
        {
            flint_printf("FAIL:\n\n");
            flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
            flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
            flint_printf("x = "), padic_print(x, &ctx->pctx), flint_printf("\n");
            flint_printf("y = "), padic_print(y, &ctx->pctx), flint_printf("\n");
            for (j = 0; j < d; j++)
            {
                qadic_frobenius(c, a, j, ctx);
                flint_printf("sigma^%wd = ", j), qadic_print_pretty(c, ctx), flint_printf("\n");
            }
            flint_printf("ans = %d\n", ans);
            abort();
        }

        qadic_clear(a);
        qadic_clear(b);
        qadic_clear(c);
        padic_clear(x);
        padic_clear(y);

        fmpz_clear(p);
        qadic_ctx_clear(ctx);
    }

    FLINT_TEST_CLEANUP(state);
    
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}