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/*
Copyright (C) 2020 Fredrik Johansson
This file is part of Calcium.
Calcium is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "qqbar.h"
int
qqbar_equal(const qqbar_t x, const qqbar_t y)
{
slong prec;
acb_t z1, z2, z3;
int res;
if (x == y)
return 1;
if (!fmpz_poly_equal(QQBAR_POLY(x), QQBAR_POLY(y)))
return 0;
if (qqbar_degree(x) == 1)
return 1;
if (!acb_overlaps(QQBAR_ENCLOSURE(x), QQBAR_ENCLOSURE(y)))
return 0;
if (acb_contains(QQBAR_ENCLOSURE(x), QQBAR_ENCLOSURE(y)))
return 1;
if (acb_contains(QQBAR_ENCLOSURE(y), QQBAR_ENCLOSURE(x)))
return 1;
acb_init(z1);
acb_init(z2);
acb_init(z3);
acb_set(z1, QQBAR_ENCLOSURE(x));
acb_set(z2, QQBAR_ENCLOSURE(y));
res = 0;
for (prec = QQBAR_DEFAULT_PREC / 2; ; prec *= 2)
{
_qqbar_enclosure_raw(z1, QQBAR_POLY(x), z1, prec);
_qqbar_enclosure_raw(z2, QQBAR_POLY(y), z2, prec);
if (!acb_overlaps(z1, z2))
{
res = 0;
break;
}
acb_union(z3, z1, z2, prec);
if (_qqbar_validate_uniqueness(z3, QQBAR_POLY(x), z3, 2 * prec))
{
res = 1;
break;
}
}
acb_clear(z1);
acb_clear(z2);
acb_clear(z3);
return res;
}
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