int main()
{
slong iter;
flint_rand_t state;
flint_printf("si_series....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 200 * arb_test_multiplier(); iter++)
{
slong m, n1, n2, n3, bits1, bits2, bits3;
acb_poly_t S, A, B, C, T, U;
bits1 = 2 + n_randint(state, 200);
bits2 = 2 + n_randint(state, 200);
bits3 = 2 + n_randint(state, 200);
m = 1 + n_randint(state, 10);
n1 = 1 + n_randint(state, 10);
n2 = 1 + n_randint(state, 10);
n3 = FLINT_MIN(n1, n2);
acb_poly_init(S);
acb_poly_init(A);
acb_poly_init(B);
acb_poly_init(C);
acb_poly_init(T);
acb_poly_init(U);
acb_poly_randtest(S, state, m, bits1, 3);
acb_poly_randtest(A, state, m, bits1, 3);
acb_poly_randtest(B, state, m, bits1, 3);
acb_hypgeom_si_series(A, S, n1, bits2);
acb_hypgeom_si_series(B, S, n2, bits3);
acb_poly_set(C, A);
acb_poly_truncate(C, n3);
acb_poly_truncate(B, n3);
/* [Si(h(x))]' h(x) = sin(h(x)) h'(x) */
acb_poly_sin_series(U, S, n3, bits2);
acb_poly_derivative(T, S, bits2);
acb_poly_mullow(U, U, T, FLINT_MAX(0, n3 - 1), bits2);
acb_poly_derivative(T, A, bits2);
acb_poly_mullow(T, T, S, FLINT_MAX(0, n3 - 1), bits2);
if (!acb_poly_overlaps(B, C) || !acb_poly_overlaps(T, U))
{
flint_printf("FAIL\n\n");
flint_printf("S = "); acb_poly_printd(S, 15); flint_printf("\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("T = "); acb_poly_printd(T, 15); flint_printf("\n\n");
flint_printf("U = "); acb_poly_printd(U, 15); flint_printf("\n\n");
abort();
}
acb_hypgeom_si_series(S, S, n1, bits2);
if (!acb_poly_overlaps(A, S))
{
flint_printf("FAIL (aliasing)\n\n");
abort();
}
acb_poly_clear(S);
acb_poly_clear(A);
acb_poly_clear(B);
acb_poly_clear(C);
acb_poly_clear(T);
acb_poly_clear(U);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("sinc_series....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 200 * arb_test_multiplier(); iter++)
{
slong m, n1, n2, rbits1, rbits2, rbits3;
acb_poly_t a, b, c, d;
rbits1 = 2 + n_randint(state, 300);
rbits2 = 2 + n_randint(state, 300);
rbits3 = 2 + n_randint(state, 300);
m = n_randint(state, 15);
n1 = n_randint(state, 15);
n2 = n_randint(state, 15);
acb_poly_init(a);
acb_poly_init(b);
acb_poly_init(c);
acb_poly_init(d);
acb_poly_randtest(a, state, m, rbits1, 10);
acb_poly_randtest(b, state, 10, rbits1, 10);
acb_poly_randtest(c, state, 10, rbits1, 10);
acb_poly_sinc_series(b, a, n1, rbits2);
acb_poly_sinc_series(c, a, n2, rbits3);
acb_poly_set(d, b);
acb_poly_truncate(d, FLINT_MIN(n1, n2));
acb_poly_truncate(c, FLINT_MIN(n1, n2));
if (!acb_poly_overlaps(c, d))
{
flint_printf("FAIL\n\n");
flint_printf("n1 = %wd, n2 = %wd, bits2 = %wd, bits3 = %wd\n", n1, n2, rbits2, rbits3);
flint_printf("a = "); acb_poly_printd(a, 50); flint_printf("\n\n");
flint_printf("b = "); acb_poly_printd(b, 50); flint_printf("\n\n");
flint_printf("c = "); acb_poly_printd(c, 50); flint_printf("\n\n");
flint_abort();
}
/* check x sinc(x) = sin(x) */
acb_poly_mullow(c, b, a, n1, rbits2);
acb_poly_sin_series(d, a, n1, rbits2);
if (!acb_poly_overlaps(c, d))
{
flint_printf("FAIL (functional equation)\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");
flint_abort();
}
acb_poly_sinc_series(a, a, n1, rbits2);
if (!acb_poly_overlaps(a, b))
{
flint_printf("FAIL (aliasing)\n\n");
flint_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("sin_pi_series....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000; iter++)
{
long m, n1, n2, bits1, bits2, bits3;
acb_poly_t S, A, B, C;
acb_t pi;
bits1 = 2 + n_randint(state, 200);
bits2 = 2 + n_randint(state, 200);
bits3 = 2 + n_randint(state, 200);
m = 1 + n_randint(state, 30);
n1 = 1 + n_randint(state, 30);
n2 = 1 + n_randint(state, 30);
acb_poly_init(S);
acb_poly_init(A);
acb_poly_init(B);
acb_poly_init(C);
acb_init(pi);
acb_poly_randtest(S, state, m, bits1, 3);
acb_poly_randtest(A, state, m, bits1, 3);
acb_poly_randtest(B, state, m, bits1, 3);
acb_poly_sin_pi_series(A, S, n1, bits2);
acb_const_pi(pi, bits3);
acb_poly_set_acb(B, pi);
acb_poly_mul(B, S, B, bits3);
acb_poly_sin_series(B, B, n2, bits3);
acb_poly_set(C, A);
acb_poly_truncate(C, FLINT_MIN(n1, n2));
acb_poly_truncate(B, FLINT_MIN(n1, n2));
if (!acb_poly_overlaps(B, C))
{
printf("FAIL\n\n");
printf("S = "); acb_poly_printd(S, 15); printf("\n\n");
printf("A = "); acb_poly_printd(A, 15); printf("\n\n");
printf("B = "); acb_poly_printd(B, 15); printf("\n\n");
abort();
}
acb_poly_sin_pi_series(S, S, n1, bits2);
if (!acb_poly_overlaps(A, S))
{
printf("FAIL (aliasing)\n\n");
abort();
}
acb_poly_clear(S);
acb_poly_clear(A);
acb_poly_clear(B);
acb_poly_clear(C);
acb_clear(pi);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}