Esempio n. 1
0
int
main(void)
{
    int i, result;
    flint_rand_t state;

    _randinit(state);

    {
        const char *str = 
            "3  [5 0 0] [0 5 0] [0 0 5] (2  0 1)[1 1 3]";
        const long n = atoi(str) - 1;

        mpoly_t P;
        ctx_t ctxFracQt;
        qadic_ctx_t Qq;
        fmpz_t p  = {3L};
        long d    = 40;
        qadic_t t1;
        prec_t prec, prec_in;

/*
prec_in.N0   = 9;
prec_in.N1   = 9;
prec_in.N2   = 9;
prec_in.N3   = 13;
prec_in.N3i  = 14;
prec_in.N3w  = 23;
prec_in.N3iw = 22;
prec_in.N4   = 18;
prec_in.m    = 29;
prec_in.K    = 178;
prec_in.r    = 0;
prec_in.s    = 0;
 */

        ctx_init_fmpz_poly_q(ctxFracQt);
        qadic_ctx_init_conway(Qq, p, d, 1, 1, "X", PADIC_SERIES);

        qadic_init2(t1, 1);
        qadic_gen(t1, Qq);

        mpoly_init(P, n + 1, ctxFracQt);
        mpoly_set_str(P, str, ctxFracQt);

        frob(P, ctxFracQt, t1, Qq, &prec, NULL, 1);

        qadic_clear(t1);
        mpoly_clear(P, ctxFracQt);
        ctx_clear(ctxFracQt);
        qadic_ctx_clear(Qq);
    }

    _randclear(state);
    _fmpz_cleanup();
    return EXIT_SUCCESS;
}
Esempio n. 2
0
int
main(void)
{
    int i, result;
    flint_rand_t state;

    _randinit(state);

    /*
        A generic sextic curve.
     */

    {
        const char *str = 
            "3  [6 0 0] [0 6 0] [0 0 6] "
            "(2  0 -1)[5 1 0] (2  0 7)[5 0 1] (2  0 2)[1 5 0] (2  0 1)[0 5 1] (2  0 2)[1 0 5] (2  0 1)[0 1 5] "
            "(2  0 2)[4 2 0] (2  0 2)[4 0 2] (2  0 3)[2 4 0] (2  0 1)[0 4 2] (2  0 3)[2 0 4] (2  0 1)[0 2 4] "
            "(2  0 3)[4 1 1] (2  0 3)[1 4 1] (2  0 1)[1 1 4] "
            "(2  0 -1)[3 3 0] (2  0 -2)[3 0 3] (2  0 4)[0 3 3] "
            "(2  0 2)[3 2 1] (2  0 1)[3 1 2] (2  0 -1)[2 3 1] (2  0 1)[1 3 2] (2  0 2)[2 1 3] (2  0 1)[1 2 3] "
            "(2  0 1)[2 2 2]";
        const long n = atoi(str) - 1;

        mpoly_t P;
        ctx_t ctxFracQt;
        qadic_ctx_t Qq;
        fmpz_t p  = {5L};
        long d    = 1;
        qadic_t t1;
        prec_t prec, prec_in;

        ctx_init_fmpz_poly_q(ctxFracQt);
        qadic_ctx_init_conway(Qq, p, d, 1, 1, "X", PADIC_SERIES);

        qadic_init2(t1, 1);
        qadic_set_ui(t1, 2, Qq);

        mpoly_init(P, n + 1, ctxFracQt);
        mpoly_set_str(P, str, ctxFracQt);

        frob(P, ctxFracQt, t1, Qq, &prec, NULL, 1);

        qadic_clear(t1);
        mpoly_clear(P, ctxFracQt);
        ctx_clear(ctxFracQt);
        qadic_ctx_clear(Qq);
    }

    _randclear(state);
    _fmpz_cleanup();
    return EXIT_SUCCESS;
}
Esempio n. 3
0
int
main(void)
{
    int i, result;
    flint_rand_t state;

    _randinit(state);

    /*
        A quartic surface from Example 4.2.1 in [AKR].

        TODO:  This currently still fails!
     */

    {
        const char *str = 
            "4  (2  2 -1)[4 0 0 0] [0 4 0 0] [0 0 4 0] [0 0 0 4] "
            "(2  0 -1)[0 1 3 0] (2  0 1)[1 1 2 0] (2  0 1)[1 1 1 1] "
            "(2  0 1)[2 1 1 0] (2  0 -1)[2 1 0 1] (2  0 1)[1 0 3 0] (2  0 -1)[1 0 2 1]";

        const long n = atoi(str) - 1;

        mpoly_t P;
        ctx_t ctxFracQt;
        qadic_ctx_t Qq;
        fmpz_t p  = {3L};
        long d    = 2;
        qadic_t t1;
        prec_t prec, prec_in;

        ctx_init_fmpz_poly_q(ctxFracQt);
        qadic_ctx_init_conway(Qq, p, d, 1, 1, "X", PADIC_SERIES);

        qadic_init2(t1, 1);
        qadic_gen(t1, Qq);

        mpoly_init(P, n + 1, ctxFracQt);
        mpoly_set_str(P, str, ctxFracQt);

        frob(P, ctxFracQt, t1, Qq, &prec, NULL, 1);

        qadic_clear(t1);
        mpoly_clear(P, ctxFracQt);
        ctx_clear(ctxFracQt);
        qadic_ctx_clear(Qq);
    }

    _randclear(state);
    _fmpz_cleanup();
    return EXIT_SUCCESS;
}
Esempio n. 4
0
int
main(void)
{
    int i, result;
    flint_rand_t state;

    _randinit(state);

    {
        const char *str = 
            "4  [5 0 0 0] [0 5 0 0] [0 0 5 0] [0 0 0 5] (2  0 1)[2 1 1 1]";
        const long n = atoi(str) - 1;

        mpoly_t P;
        ctx_t ctxFracQt;
        qadic_ctx_t Qq;
        fmpz_t p  = {2L};
        long d    = 10;
        qadic_t t1;
        prec_t prec, prec_in;

        ctx_init_fmpz_poly_q(ctxFracQt);
        qadic_ctx_init_conway(Qq, p, d, 1, 1, "X", PADIC_SERIES);

        qadic_init2(t1, 1);
        qadic_gen(t1, Qq);

        mpoly_init(P, n + 1, ctxFracQt);
        mpoly_set_str(P, str, ctxFracQt);

        frob(P, ctxFracQt, t1, Qq, &prec, NULL, 1);

        qadic_clear(t1);
        mpoly_clear(P, ctxFracQt);
        ctx_clear(ctxFracQt);
        qadic_ctx_clear(Qq);
    }

    _randclear(state);
    _fmpz_cleanup();
    return EXIT_SUCCESS;
}
Esempio n. 5
0
int
main(void)
{
    int i, result;
    FLINT_TEST_INIT(state);

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

    

    /* Check aliasing: a = a * b */
    for (i = 0; i < 2000; i++)
    {
        fmpz_t p;
        slong d, N;
        qadic_ctx_t ctx;

        qadic_t a, b, c;

        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);

        qadic_randtest(a, state, ctx);
        qadic_randtest(b, state, ctx);

        qadic_mul(c, a, b, ctx);
        qadic_mul(a, a, b, ctx);

        result = (qadic_equal(a, c));
        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("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
            abort();
        }

        qadic_clear(a);
        qadic_clear(b);
        qadic_clear(c);

        fmpz_clear(p);
        qadic_ctx_clear(ctx);
    }

    /* Check aliasing: b = a * b */
    for (i = 0; i < 2000; i++)
    {
        fmpz_t p;
        slong d, N;
        qadic_ctx_t ctx;

        qadic_t a, b, c;

        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);

        qadic_randtest(a, state, ctx);
        qadic_randtest(b, state, ctx);

        qadic_mul(c, a, b, ctx);
        qadic_mul(b, a, b, ctx);

        result = (qadic_equal(b, c));
        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("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
            abort();
        }

        qadic_clear(a);
        qadic_clear(b);
        qadic_clear(c);

        fmpz_clear(p);
        qadic_ctx_clear(ctx);
    }

    /* Check aliasing: a = a + a */
    for (i = 0; i < 2000; i++)
    {
        fmpz_t p;
        slong d, N;
        qadic_ctx_t ctx;

        qadic_t a, c;

        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(c, N);

        qadic_randtest(a, state, ctx);

        qadic_add(c, a, a, ctx);
        qadic_add(a, a, a, ctx);

        result = (qadic_equal(a, c));
        if (!result)
        {
            flint_printf("FAIL:\n\n");
            flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
            flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
            abort();
        }

        qadic_clear(a);
        qadic_clear(c);

        fmpz_clear(p);
        qadic_ctx_clear(ctx);
    }

    /* Check that a * b == b * a */
    for (i = 0; i < 2000; i++)
    {
        fmpz_t p;
        slong d, N;
        qadic_ctx_t ctx;

        qadic_t a, b, c1, c2;

        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(c1, N);
        qadic_init2(c2, N);

        qadic_randtest(a, state, ctx);
        qadic_randtest(b, state, ctx);

        qadic_mul(c1, a, b, ctx);
        qadic_mul(c2, b, a, ctx);

        result = (qadic_equal(c1, c2));
        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("c1 = "), qadic_print_pretty(c1, ctx), flint_printf("\n");
            flint_printf("c2 = "), qadic_print_pretty(c2, ctx), flint_printf("\n");
            abort();
        }

        qadic_clear(a);
        qadic_clear(b);
        qadic_clear(c1);
        qadic_clear(c2);

        fmpz_clear(p);
        qadic_ctx_clear(ctx);
    }

    /* Check that (a * b) * c == a * (b * c) for integral values */
    for (i = 0; i < 2000; i++)
    {
        fmpz_t p;
        slong d, N;
        qadic_ctx_t ctx;

        qadic_t a, b, c, lhs, rhs;

        fmpz_init_set_ui(p, n_randprime(state, 2 + n_randint(state, 3), 1));
        d = n_randint(state, 10) + 1;
        N = n_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);
        qadic_init2(lhs, N);
        qadic_init2(rhs, N);

        qadic_randtest_int(a, state, ctx);
        qadic_randtest_int(b, state, ctx);
        qadic_randtest_int(c, state, ctx);

        qadic_mul(lhs, a, b, ctx);
        qadic_mul(lhs, lhs, c, ctx);
        qadic_mul(rhs, b, c, ctx);
        qadic_mul(rhs, a, rhs, ctx);

        result = (qadic_equal(lhs, rhs));
        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("c   = "), qadic_print_pretty(c, ctx), flint_printf("\n");
            flint_printf("lhs = "), qadic_print_pretty(lhs, ctx), flint_printf("\n");
            flint_printf("rhs = "), qadic_print_pretty(rhs, ctx), flint_printf("\n");
            abort();
        }

        qadic_clear(a);
        qadic_clear(b);
        qadic_clear(c);
        qadic_clear(lhs);
        qadic_clear(rhs);

        fmpz_clear(p);
        qadic_ctx_clear(ctx);
    }

    FLINT_TEST_CLEANUP(state);
    
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
Esempio n. 6
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;
}