C++ (Cpp) nmod_poly_atan_series Examples

Example #1

File: t-tan_series.c Project: clear731/lattice

int
main(void)
{
    int i, result = 1;
    FLINT_TEST_INIT(state);
    

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

    /* Check atan(tan(A)) = A */
    for (i = 0; i < 100 * flint_test_multiplier(); i++)
    {
        nmod_poly_t A, tanA, B;
        slong n;
        mp_limb_t mod;

        mod = n_randtest_prime(state, 0);
        n = 1 + n_randtest(state) % 100;
        n = FLINT_MIN(n, mod);

        nmod_poly_init(A, mod);
        nmod_poly_init(tanA, mod);
        nmod_poly_init(B, mod);

        nmod_poly_randtest(A, state, n_randint(state, 100));
        nmod_poly_set_coeff_ui(A, 0, UWORD(0));

        nmod_poly_tan_series(tanA, A, n);
        nmod_poly_atan_series(B, tanA, n);

        nmod_poly_truncate(A, n);

        result = nmod_poly_equal(A, B);

        if (!result)
        {
            flint_printf("FAIL:\n");
            flint_printf("n = %wd, mod = %wu\n", n, mod);
            flint_printf("A: "); nmod_poly_print(A), flint_printf("\n\n");
            flint_printf("tan(A): "); nmod_poly_print(tanA), flint_printf("\n\n");
            flint_printf("B: "); nmod_poly_print(B), flint_printf("\n\n");
            abort();
        }

        nmod_poly_clear(A);
        nmod_poly_clear(tanA);
        nmod_poly_clear(B);
    }

    /* Check aliasing */
    for (i = 0; i < 100 * flint_test_multiplier(); i++)
    {
        nmod_poly_t A, B;
        slong n;
        mp_limb_t mod;
        mod = n_randtest_prime(state, 0);
        n = n_randtest(state) % 50;
        n = FLINT_MIN(n, mod);

        nmod_poly_init(A, mod);
        nmod_poly_init(B, mod);
        nmod_poly_randtest(A, state, n_randint(state, 50));
        nmod_poly_set_coeff_ui(A, 0, UWORD(0));

        nmod_poly_tan_series(B, A, n);
        nmod_poly_tan_series(A, A, n);

        result = nmod_poly_equal(A, B);
        if (!result)
        {
            flint_printf("FAIL:\n");
            nmod_poly_print(A), flint_printf("\n\n");
            nmod_poly_print(B), flint_printf("\n\n");
            abort();
        }

        nmod_poly_clear(A);
        nmod_poly_clear(B);
    }

    FLINT_TEST_CLEANUP(state);
    
    flint_printf("PASS\n");
    return 0;
}

Example #2

File: t-asin_series.c Project: goens/flint2

int
main(void)
{
    int i, result = 1;
    flint_rand_t state;
    flint_randinit(state);

    printf("asin_series....");
    fflush(stdout);

    /* Check asin(A) = atan(A/sqrt(1-A^2)) */
    for (i = 0; i < 1000; i++)
    {
        nmod_poly_t A, B, asinA, atanB;
        long n;
        mp_limb_t mod;

        mod = n_randtest_prime(state, 0);
        n = 1 + n_randtest(state) % 100;
        n = FLINT_MIN(n, mod);

        nmod_poly_init(A, mod);
        nmod_poly_init(B, mod);
        nmod_poly_init(asinA, mod);
        nmod_poly_init(atanB, mod);

        nmod_poly_randtest(A, state, n_randint(state, 100));
        nmod_poly_set_coeff_ui(A, 0, 0UL);

        nmod_poly_mullow(B, A, A, n);
        nmod_poly_neg(B, B);
        nmod_poly_set_coeff_ui(B, 0, 1UL);
        nmod_poly_invsqrt_series(B, B, n);
        nmod_poly_mullow(B, A, B, n);

        nmod_poly_asin_series(asinA, A, n);
        nmod_poly_atan_series(atanB, B, n);

        result = nmod_poly_equal(asinA, atanB);

        if (!result)
        {
            printf("FAIL:\n");
            printf("n = %ld, mod = %lu\n", n, mod);
            printf("A: "); nmod_poly_print(A), printf("\n\n");
            printf("B: "); nmod_poly_print(B), printf("\n\n");
            printf("asin(A): "); nmod_poly_print(asinA), printf("\n\n");
            printf("atan(B): "); nmod_poly_print(atanB), printf("\n\n");
            abort();
        }

        nmod_poly_clear(A);
        nmod_poly_clear(B);
        nmod_poly_clear(asinA);
        nmod_poly_clear(atanB);
    }

    /* Check aliasing */
    for (i = 0; i < 1000; i++)
    {
        nmod_poly_t A, B;
        long n;
        mp_limb_t mod;
        mod = n_randtest_prime(state, 0);
        n = n_randtest(state) % 50;
        n = FLINT_MIN(n, mod);

        nmod_poly_init(A, mod);
        nmod_poly_init(B, mod);
        nmod_poly_randtest(A, state, n_randint(state, 50));
        nmod_poly_set_coeff_ui(A, 0, 0UL);

        nmod_poly_asin_series(B, A, n);
        nmod_poly_asin_series(A, A, n);

        result = nmod_poly_equal(A, B);
        if (!result)
        {
            printf("FAIL:\n");
            nmod_poly_print(A), printf("\n\n");
            nmod_poly_print(B), printf("\n\n");
            abort();
        }

        nmod_poly_clear(A);
        nmod_poly_clear(B);
    }

    flint_randclear(state);

    printf("PASS\n");
    return 0;
}