int main()
{
slong iter;
flint_rand_t state;
flint_printf("set_fmpq....");
fflush(stdout);
flint_randinit(state);
/* test exact roundtrip R -> Q -> R */
for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
{
slong bits, res;
arf_t x, z;
fmpq_t y;
bits = 2 + n_randint(state, 200);
arf_init(x);
arf_init(z);
fmpq_init(y);
arf_randtest(x, state, bits, 10);
arf_randtest(z, state, bits, 10);
arf_get_fmpq(y, x);
res = arf_set_fmpq(z, y, bits, ARF_RND_DOWN);
if (!arf_equal(x, z) || res != 0)
{
flint_printf("FAIL\n\n");
flint_printf("bits: %wd\n", bits);
flint_printf("x = "); arf_print(x); flint_printf("\n\n");
flint_printf("y = "); fmpq_print(y); flint_printf("\n\n");
flint_printf("z = "); arf_print(z); flint_printf("\n\n");
abort();
}
arf_clear(x);
arf_clear(z);
fmpq_clear(y);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("contains_arf....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_t a;
arf_t b;
fmpq_t am, ar, bm, t;
int c1, c2;
arb_init(a);
arf_init(b);
fmpq_init(am);
fmpq_init(ar);
fmpq_init(bm);
fmpq_init(t);
arb_randtest(a, state, 1 + n_randint(state, 500), 14);
arf_randtest(b, state, 1 + n_randint(state, 500), 14);
arf_get_fmpq(am, arb_midref(a));
mag_get_fmpq(ar, arb_radref(a));
arf_get_fmpq(bm, b);
c1 = arb_contains_arf(a, b);
fmpq_sub(t, am, ar);
c2 = fmpq_cmp(t, bm) <= 0;
fmpq_add(t, am, ar);
c2 = c2 && (fmpq_cmp(t, bm) >= 0);
if (c1 != c2)
{
flint_printf("FAIL:\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("b = "); arf_print(b); flint_printf("\n\n");
flint_printf("am = "); fmpq_print(am); flint_printf("\n\n");
flint_printf("ar = "); fmpq_print(ar); flint_printf("\n\n");
flint_printf("bm = "); fmpq_print(bm); flint_printf("\n\n");
flint_printf("t = "); fmpq_print(t); flint_printf("\n\n");
flint_printf("c1 = %d, c2 = %d\n\n", c1, c2);
abort();
}
arb_clear(a);
arf_clear(b);
fmpq_clear(am);
fmpq_clear(ar);
fmpq_clear(bm);
fmpq_clear(t);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("overlaps....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
{
arb_t a, b;
fmpq_t am, ar, bm, br, t, u;
int c1, c2;
arb_init(a);
arb_init(b);
fmpq_init(am);
fmpq_init(ar);
fmpq_init(bm);
fmpq_init(br);
fmpq_init(t);
fmpq_init(u);
arb_randtest(a, state, 1 + n_randint(state, 500), 14);
arb_randtest(b, state, 1 + n_randint(state, 500), 14);
arf_get_fmpq(am, arb_midref(a));
mag_get_fmpq(ar, arb_radref(a));
arf_get_fmpq(bm, arb_midref(b));
mag_get_fmpq(br, arb_radref(b));
fmpq_sub(t, am, bm);
fmpz_abs(fmpq_numref(t), fmpq_numref(t));
fmpq_add(u, ar, br);
c1 = arb_overlaps(a, b);
c2 = (fmpq_cmp(t, u) <= 0);
if (c1 != c2)
{
flint_printf("FAIL:\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_printf("am = "); fmpq_print(am); flint_printf("\n\n");
flint_printf("ar = "); fmpq_print(ar); flint_printf("\n\n");
flint_printf("bm = "); fmpq_print(bm); flint_printf("\n\n");
flint_printf("br = "); fmpq_print(br); flint_printf("\n\n");
flint_printf("t = "); fmpq_print(t); flint_printf("\n\n");
flint_printf("u = "); fmpq_print(u); flint_printf("\n\n");
flint_printf("c1 = %d, c2 = %d\n\n", c1, c2);
flint_abort();
}
arb_clear(a);
arb_clear(b);
fmpq_clear(am);
fmpq_clear(ar);
fmpq_clear(bm);
fmpq_clear(br);
fmpq_clear(t);
fmpq_clear(u);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int fmpq_poly_check_unique_real_root(const fmpq_poly_t pol, const arb_t a, slong prec)
{
if (pol->length < 2)
return 0;
else if (pol->length == 2)
{
/* linear polynomial */
fmpq_t root;
int ans;
fmpq_init(root);
fmpq_set_fmpz_frac(root, fmpq_poly_numref(pol), fmpq_poly_numref(pol) + 1);
fmpq_neg(root, root);
ans = arb_contains_fmpq(a, root);
fmpq_clear(root);
return ans;
}
else
{
arb_t b, c;
arf_t l, r;
fmpz * der;
int lsign, rsign;
fmpz_poly_t pol2;
slong n;
/* 1 - cheap test: */
/* - sign(left) * sign(right) = -1 */
/* - no zero of the derivative */
arb_init(b);
arb_init(c);
arf_init(l);
arf_init(r);
arb_get_interval_arf(l, r, a, prec);
arb_set_arf(b, l);
_fmpz_poly_evaluate_arb(c, pol->coeffs, pol->length, b, 2*prec);
lsign = arb_sgn2(c);
arb_set_arf(b, r);
_fmpz_poly_evaluate_arb(c, pol->coeffs, pol->length, b, 2*prec);
rsign = arb_sgn2(c);
arb_clear(c);
if (lsign * rsign == -1)
{
der = _fmpz_vec_init(pol->length - 1);
_fmpz_poly_derivative(der, pol->coeffs, pol->length);
_fmpz_poly_evaluate_arb(b, der, pol->length - 1, a, prec);
_fmpz_vec_clear(der, pol->length - 1);
if (!arb_contains_zero(b))
{
arf_clear(l);
arf_clear(r);
arb_clear(b);
return 1;
}
}
else
return 0;
arb_clear(b);
/* 2 - expensive testing */
fmpq_t ql, qr;
fmpq_init(ql);
fmpq_init(qr);
arf_get_fmpq(ql, l);
arf_get_fmpq(qr, r);
fmpz_poly_init(pol2);
fmpz_poly_fit_length(pol2, pol->length);
_fmpz_vec_set(pol2->coeffs, pol->coeffs, pol->length);
pol2->length = pol->length;
_fmpz_poly_scale_0_1_fmpq(pol2->coeffs, pol2->length, ql, qr);
n = fmpz_poly_num_real_roots_0_1(pol2);
fmpz_poly_clear(pol2);
fmpq_clear(ql);
fmpq_clear(qr);
return (n == 1);
}
}