void
arb_poly_set(arb_poly_t dest, const arb_poly_t src)
{
slong len = arb_poly_length(src);
arb_poly_fit_length(dest, len);
_arb_vec_set(dest->coeffs, src->coeffs, len);
_arb_poly_set_length(dest, len);
}
int
main(void)
{
int i, result;
flint_rand_t state;
printf("get_coeff_ptr....");
fflush(stdout);
flint_randinit(state);
for (i = 0; i < 1000; i++)
{
arb_poly_t A;
arb_t a;
long n = n_randint(state, 100);
arb_poly_init(A);
arb_poly_randtest(A, state, n_randint(state, 100), 100, 10);
arb_init(a);
arb_poly_get_coeff_arb(a, A, n);
result = n < arb_poly_length(A) ?
arb_equal(a, arb_poly_get_coeff_ptr(A, n)) :
arb_poly_get_coeff_ptr(A, n) == NULL;
if (!result)
{
printf("FAIL:\n");
printf("A = "), arb_poly_printd(A, 10), printf("\n\n");
printf("a = "), arb_print(a), printf("\n\n");
printf("n = %ld\n\n", n);
abort();
}
arb_poly_clear(A);
arb_clear(a);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return 0;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("atan_series....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000; iter++)
{
slong m, n, qbits, rbits1, rbits2;
fmpq_poly_t A;
arb_poly_t a, b, c, d;
qbits = 2 + n_randint(state, 200);
rbits1 = 2 + n_randint(state, 200);
rbits2 = 2 + n_randint(state, 200);
m = 1 + n_randint(state, 30);
n = 1 + n_randint(state, 30);
fmpq_poly_init(A);
arb_poly_init(a);
arb_poly_init(b);
arb_poly_init(c);
arb_poly_init(d);
fmpq_poly_randtest(A, state, m, qbits);
arb_poly_set_fmpq_poly(a, A, rbits1);
arb_poly_randtest(b, state, 1 + n_randint(state, 30), rbits1, 5);
arb_poly_atan_series(b, a, n, rbits2);
/* Check 2 atan(x) = atan(2x/(1-x^2)) + C */
arb_poly_mullow(c, a, a, n, rbits2);
arb_poly_one(d);
arb_poly_sub(c, d, c, rbits2);
arb_poly_add(d, a, a, rbits2);
if (arb_poly_length(c) != 0)
{
arb_poly_div_series(c, d, c, n, rbits2);
arb_poly_atan_series(c, c, n, rbits2);
arb_poly_add(d, b, b, rbits2);
/* TODO: also check the first coefficient */
arb_poly_set_coeff_si(c, 0, 0);
arb_poly_set_coeff_si(d, 0, 0);
if (!arb_poly_overlaps(c, d))
{
flint_printf("FAIL\n\n");
flint_printf("bits2 = %wd\n", rbits2);
flint_printf("A = "); fmpq_poly_print(A); flint_printf("\n\n");
flint_printf("a = "); arb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); arb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); arb_poly_printd(c, 15); flint_printf("\n\n");
flint_printf("d = "); arb_poly_printd(d, 15); flint_printf("\n\n");
abort();
}
}
arb_poly_atan_series(a, a, n, rbits2);
if (!arb_poly_equal(a, b))
{
flint_printf("FAIL (aliasing)\n\n");
abort();
}
fmpq_poly_clear(A);
arb_poly_clear(a);
arb_poly_clear(b);
arb_poly_clear(c);
arb_poly_clear(d);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
