int main()
{
slong iter;
flint_rand_t state;
flint_printf("get_mag....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
acb_t a;
arf_t m2, x, y, s;
mag_t m;
acb_init(a);
mag_init(m);
arf_init(m2);
arf_init(x);
arf_init(y);
arf_init(s);
acb_randtest_special(a, state, 200, 10);
acb_get_mag(m, a);
MAG_CHECK_BITS(m)
/* check m^2 >= x^2 + y^2 */
arf_set_mag(m2, m);
arf_mul(m2, m2, m2, ARF_PREC_EXACT, ARF_RND_DOWN);
arb_get_abs_ubound_arf(x, acb_realref(a), ARF_PREC_EXACT);
arb_get_abs_ubound_arf(y, acb_imagref(a), ARF_PREC_EXACT);
arf_sosq(s, x, y, ARF_PREC_EXACT, ARF_RND_DOWN);
if (arf_cmp(m2, s) < 0)
{
flint_printf("FAIL:\n\n");
flint_printf("a = "); acb_print(a); flint_printf("\n\n");
flint_printf("m = "); mag_print(m); flint_printf("\n\n");
flint_abort();
}
acb_clear(a);
mag_clear(m);
arf_clear(m2);
arf_clear(x);
arf_clear(y);
arf_clear(s);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
void
_acb_poly_zeta_cpx_series(acb_ptr z, const acb_t s, const acb_t a, int deflate, long d, long prec)
{
ulong M, N;
long i;
arf_t bound;
arb_ptr vb;
if (d < 1)
return;
if (!acb_is_finite(s) || !acb_is_finite(a))
{
_acb_vec_indeterminate(z, d);
return;
}
arf_init(bound);
vb = _arb_vec_init(d);
_acb_poly_zeta_em_choose_param(bound, &N, &M, s, a, FLINT_MIN(d, 2), prec, MAG_BITS);
_acb_poly_zeta_em_bound(vb, s, a, N, M, d, MAG_BITS);
_acb_poly_zeta_em_sum(z, s, a, deflate, N, M, d, prec);
for (i = 0; i < d; i++)
{
arb_get_abs_ubound_arf(bound, vb + i, MAG_BITS);
arb_add_error_arf(acb_realref(z + i), bound);
arb_add_error_arf(acb_imagref(z + i), bound);
}
arf_clear(bound);
_arb_vec_clear(vb, d);
}
void
_arb_poly_majorant(arb_ptr res, arb_srcptr vec, slong len, slong prec)
{
slong i;
for (i = 0; i < len; i++)
{
arb_get_abs_ubound_arf(arb_midref(res + i), vec + i, prec);
mag_zero(arb_radref(res + i));
}
}
void arb_calc_newton_conv_factor(arf_t conv_factor,
arb_calc_func_t func, void * param,
const arb_t conv_region, long prec)
{
arb_struct t[3];
arb_init(t);
arb_init(t + 1);
arb_init(t + 2);
func(t, conv_region, param, 3, prec);
arb_div(t, t + 2, t + 1, prec);
arb_mul_2exp_si(t, t, -1);
arb_get_abs_ubound_arf(conv_factor, t, prec);
arb_clear(t);
arb_clear(t + 1);
arb_clear(t + 2);
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("get_abs_lbound_arf....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_t x;
arf_t b, b2, b3;
fmpq_t q;
arb_init(x);
arf_init(b);
arf_init(b2);
arf_init(b3);
fmpq_init(q);
arb_randtest(x, state, 1 + n_randint(state, 200), 10);
arb_get_abs_lbound_arf(b, x, 2 + n_randint(state, 200));
arb_get_rand_fmpq(q, state, x, 1 + n_randint(state, 200));
arf_mul_fmpz(b2, b, fmpq_denref(q), ARF_PREC_EXACT, ARF_RND_DOWN);
arf_set_fmpz(b3, fmpq_numref(q));
arf_abs(b3, b3);
if (arf_cmp(b2, b3) > 0)
{
flint_printf("FAIL (abs_lbound):\n\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("q = "); fmpq_print(q); flint_printf("\n\n");
flint_printf("b = "); arf_print(b); flint_printf("\n\n");
flint_printf("b2 = "); arf_print(b2); flint_printf("\n\n");
flint_printf("b3 = "); arf_print(b3); flint_printf("\n\n");
flint_abort();
}
arb_get_abs_ubound_arf(b, x, 2 + n_randint(state, 200));
arb_get_rand_fmpq(q, state, x, 1 + n_randint(state, 200));
arf_mul_fmpz(b2, b, fmpq_denref(q), ARF_PREC_EXACT, ARF_RND_DOWN);
arf_set_fmpz(b3, fmpq_numref(q));
arf_abs(b3, b3);
if (arf_cmp(b2, b3) < 0)
{
flint_printf("FAIL (abs_ubound):\n\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("q = "); fmpq_print(q); flint_printf("\n\n");
flint_printf("b = "); arf_print(b); flint_printf("\n\n");
flint_printf("b2 = "); arf_print(b2); flint_printf("\n\n");
flint_printf("b3 = "); arf_print(b3); flint_printf("\n\n");
flint_abort();
}
arb_randtest_special(x, state, 1 + n_randint(state, 200), 1 + n_randint(state, 10));
arb_get_abs_lbound_arf(b, x, 2 + n_randint(state, 200));
arb_get_abs_ubound_arf(b2, x, 2 + n_randint(state, 200));
if (arf_cmp(b, b2) > 0)
{
flint_printf("FAIL:\n\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("b = "); arf_print(b); flint_printf("\n\n");
flint_printf("b2 = "); arf_print(b2); flint_printf("\n\n");
flint_abort();
}
arb_clear(x);
fmpq_clear(q);
arf_clear(b);
arf_clear(b2);
arf_clear(b3);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
