int main()
{
slong iter;
flint_rand_t state;
flint_printf("exp_series_basecase....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
slong m, n, bits1, bits2, bits3;
acb_poly_t a, b, c, d;
bits1 = 2 + n_randint(state, 100);
bits2 = 2 + n_randint(state, 100);
bits3 = 2 + n_randint(state, 100);
m = 1 + n_randint(state, 30);
n = 1 + n_randint(state, 30);
acb_poly_init(a);
acb_poly_init(b);
acb_poly_init(c);
acb_poly_init(d);
acb_poly_randtest(a, state, m, bits1, 5);
acb_poly_randtest(b, state, m, bits1, 5);
/* check exp(a+b) = exp(a) exp(b) */
acb_poly_exp_series_basecase(c, a, n, bits2);
acb_poly_exp_series_basecase(d, b, n, bits2);
acb_poly_mullow(c, c, d, n, bits2);
acb_poly_add(d, a, b, bits3);
acb_poly_exp_series_basecase(d, d, n, bits3); /* also aliasing test */
if (!acb_poly_overlaps(c, d))
{
flint_printf("FAIL\n\n");
flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); acb_poly_printd(c, 15); flint_printf("\n\n");
flint_printf("d = "); acb_poly_printd(d, 15); flint_printf("\n\n");
abort();
}
acb_poly_clear(a);
acb_poly_clear(b);
acb_poly_clear(c);
acb_poly_clear(d);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
long iter;
flint_rand_t state;
printf("log_series....");
fflush(stdout);
flint_randinit(state);
/* compare with fmpq_poly */
for (iter = 0; iter < 10000; iter++)
{
long m, n, qbits, rbits1, rbits2;
fmpq_poly_t A, B;
acb_poly_t a, b;
qbits = 2 + n_randint(state, 200);
rbits1 = 2 + n_randint(state, 200);
rbits2 = 2 + n_randint(state, 200);
m = 1 + n_randint(state, 20);
n = 1 + n_randint(state, 20);
fmpq_poly_init(A);
fmpq_poly_init(B);
acb_poly_init(a);
acb_poly_init(b);
fmpq_poly_randtest_not_zero(A, state, m, qbits);
fmpq_poly_set_coeff_ui(A, 0, 1UL);
fmpq_poly_log_series(B, A, n);
acb_poly_set_fmpq_poly(a, A, rbits1);
acb_poly_randtest(b, state, 1 + n_randint(state, 20), rbits1, 5);
acb_poly_log_series(b, a, n, rbits2);
if (!acb_poly_contains_fmpq_poly(b, B))
{
printf("FAIL\n\n");
printf("bits2 = %ld\n", rbits2);
printf("A = "); fmpq_poly_print(A); printf("\n\n");
printf("B = "); fmpq_poly_print(B); printf("\n\n");
printf("a = "); acb_poly_printd(a, 15); printf("\n\n");
printf("b = "); acb_poly_printd(b, 15); printf("\n\n");
abort();
}
fmpq_poly_clear(A);
fmpq_poly_clear(B);
acb_poly_clear(a);
acb_poly_clear(b);
}
/* test aliasing */
for (iter = 0; iter < 10000; iter++)
{
long m, n, qbits, rbits1, rbits2;
fmpq_poly_t A;
acb_poly_t a, b;
qbits = 2 + n_randint(state, 200);
rbits1 = 2 + n_randint(state, 200);
rbits2 = 2 + n_randint(state, 200);
m = 1 + n_randint(state, 20);
n = 1 + n_randint(state, 20);
fmpq_poly_init(A);
acb_poly_init(a);
acb_poly_init(b);
do {
fmpq_poly_randtest_not_zero(A, state, m, qbits);
} while (fmpz_sgn(A->coeffs + 0) <= 0);
acb_poly_set_fmpq_poly(a, A, rbits1);
acb_poly_log_series(b, a, n, rbits2);
acb_poly_log_series(a, a, n, rbits2);
if (!acb_poly_equal(a, b))
{
printf("FAIL\n\n");
printf("bits2 = %ld\n", rbits2);
printf("A = "); fmpq_poly_print(A); printf("\n\n");
printf("a = "); acb_poly_printd(a, 15); printf("\n\n");
printf("b = "); acb_poly_printd(b, 15); printf("\n\n");
abort();
}
fmpq_poly_clear(A);
acb_poly_clear(a);
acb_poly_clear(b);
}
/* test that exp(log(f)) contains f */
for (iter = 0; iter < 10000; iter++)
{
long m, n, qbits, rbits1, rbits2, rbits3;
fmpq_poly_t A;
acb_poly_t a, b, c;
qbits = 2 + n_randint(state, 200);
rbits1 = 2 + n_randint(state, 200);
rbits2 = 2 + n_randint(state, 200);
rbits3 = 2 + n_randint(state, 200);
m = 1 + n_randint(state, 20);
n = 1 + n_randint(state, 20);
fmpq_poly_init(A);
acb_poly_init(a);
acb_poly_init(b);
acb_poly_init(c);
do {
fmpq_poly_randtest_not_zero(A, state, m, qbits);
} while (fmpz_sgn(A->coeffs + 0) <= 0);
acb_poly_set_fmpq_poly(a, A, rbits1);
acb_poly_randtest(b, state, 1 + n_randint(state, 20), rbits1, 5);
acb_poly_log_series(b, a, n, rbits2);
acb_poly_exp_series_basecase(c, b, n, rbits3);
fmpq_poly_truncate(A, n);
if (!acb_poly_contains_fmpq_poly(c, A))
{
printf("FAIL\n\n");
printf("bits2 = %ld\n", rbits2);
printf("bits3 = %ld\n", rbits3);
printf("A = "); fmpq_poly_print(A); printf("\n\n");
printf("a = "); acb_poly_printd(a, 15); printf("\n\n");
printf("b = "); acb_poly_printd(b, 15); printf("\n\n");
printf("c = "); acb_poly_printd(c, 15); printf("\n\n");
abort();
}
fmpq_poly_clear(A);
acb_poly_clear(a);
acb_poly_clear(b);
acb_poly_clear(c);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}