int
arb_contains_arf(const arb_t x, const arf_t y)
{
if (arf_is_nan(y))
{
return arf_is_nan(arb_midref(x));
}
else if (arf_is_nan(arb_midref(x)))
{
return 1;
}
else if (arb_is_exact(x))
{
return arf_equal(arb_midref(x), y);
}
else
{
arf_t t;
arf_struct tmp[3];
int result;
arf_init(t);
/* y >= xm - xr <=> 0 >= xm - xr - y */
arf_init_set_shallow(tmp + 0, arb_midref(x));
arf_init_neg_mag_shallow(tmp + 1, arb_radref(x));
arf_init_neg_shallow(tmp + 2, y);
arf_sum(t, tmp, 3, MAG_BITS, ARF_RND_DOWN);
result = (arf_sgn(t) <= 0);
if (result)
{
/* y <= xm + xr <=> 0 <= xm + xr - y */
arf_init_set_mag_shallow(tmp + 1, arb_radref(x));
arf_sum(t, tmp, 3, MAG_BITS, ARF_RND_DOWN);
result = (arf_sgn(t) >= 0);
}
arf_clear(t);
return result;
}
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("floor....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000; iter++)
{
arf_t x, y;
int result;
arf_init(x);
arf_init(y);
arf_randtest_special(x, state, 2000, 100);
arf_randtest_special(y, state, 2000, 100);
arf_floor(y, x);
result = 1;
if (arf_is_int(x) || !arf_is_finite(x))
{
result = arf_equal(y, x);
}
else if (!arf_is_int(y))
{
result = 0;
}
else if (arf_cmp(y, x) >= 0)
{
result = 0;
}
else
{
arf_t s, t[3];
/* check floor(x) - x + 1 > 0 */
arf_init(s);
arf_init(t[0]);
arf_init(t[1]);
arf_init(t[2]);
arf_set(t[0], y);
arf_neg(t[1], x);
arf_one(t[2]);
arf_sum(s, (arf_ptr) t, 3, 32, ARF_RND_DOWN);
result = arf_sgn(s) > 0;
arf_clear(s);
arf_clear(t[0]);
arf_clear(t[1]);
arf_clear(t[2]);
}
if (!result)
{
flint_printf("FAIL!\n");
flint_printf("x = "); arf_print(x); flint_printf("\n\n");
flint_printf("y = "); arf_print(y); flint_printf("\n\n");
abort();
}
arf_floor(x, x);
if (!arf_equal(x, y))
{
flint_printf("FAIL (aliasing)!\n");
flint_printf("x = "); arf_print(x); flint_printf("\n\n");
flint_printf("y = "); arf_print(y); flint_printf("\n\n");
abort();
}
arf_clear(x);
arf_clear(y);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("sum....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000000 * arb_test_multiplier(); iter++)
{
slong i, len, prec, bits, expbits;
int res1, res2;
arf_t s1, s2, s3, err;
mag_t err_bound;
arf_struct terms[20];
arf_rnd_t rnd;
len = n_randint(state, 20);
bits = 2 + n_randint(state, 1000);
prec = 2 + n_randint(state, 1000);
expbits = n_randint(state, 14);
arf_init(s1);
arf_init(s2);
arf_init(s3);
arf_init(err);
mag_init(err_bound);
for (i = 0; i < len; i++)
{
arf_init(terms + i);
arf_randtest_special(terms + i, state, bits, expbits);
}
switch (n_randint(state, 4))
{
case 0: rnd = ARF_RND_DOWN; break;
case 1: rnd = ARF_RND_UP; break;
case 2: rnd = ARF_RND_FLOOR; break;
default: rnd = ARF_RND_CEIL; break;
}
res1 = arf_sum(s1, terms, len, prec, rnd);
arf_zero(s2);
for (i = 0; i < len; i++)
arf_add(s2, s2, terms + i, ARF_PREC_EXACT, ARF_RND_DOWN);
res2 = arf_set_round(s3, s2, prec, rnd);
if (!arf_equal(s1, s3) || res1 != res2)
{
flint_printf("FAIL (%wd)\n\n", iter);
flint_printf("prec = %wd\n\n", prec);
for (i = 0; i < len; i++)
{
flint_printf("terms[%wd] = ", i); arf_print(terms + i); flint_printf("\n\n");
}
flint_printf("s1 = "); arf_print(s1); flint_printf("\n\n");
flint_printf("s2 = "); arf_print(s2); flint_printf("\n\n");
flint_printf("s3 = "); arf_print(s3); flint_printf("\n\n");
flint_printf("res1 = %d, res2 = %d\n\n", res1, res2);
abort();
}
arf_sub(err, s1, s2, ARF_PREC_EXACT, ARF_RND_DOWN);
arf_abs(err, err);
if (res1)
arf_mag_set_ulp(err_bound, s1, prec);
else
mag_zero(err_bound);
if (arf_cmpabs_mag(err, err_bound) > 0)
{
flint_printf("FAIL (error bound)!\n");
flint_printf("prec = %wd\n\n", prec);
for (i = 0; i < len; i++)
{
flint_printf("terms[%wd] = ", i); arf_print(terms + i); flint_printf("\n\n");
}
flint_printf("s1 = "); arf_print(s1); flint_printf("\n\n");
flint_printf("s2 = "); arf_print(s2); flint_printf("\n\n");
flint_printf("s3 = "); arf_print(s3); flint_printf("\n\n");
flint_printf("error: "); arf_print(err); flint_printf("\n\n");
flint_printf("error bound: "); mag_print(err_bound); flint_printf("\n\n");
flint_printf("res1 = %d, res2 = %d\n\n", res1, res2);
abort();
}
arf_clear(s1);
arf_clear(s2);
arf_clear(s3);
arf_clear(err);
mag_clear(err_bound);
for (i = 0; i < len; i++)
arf_clear(terms + i);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}