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/*
Copyright (C) 2012 Fredrik Johansson
This file is part of Arb.
Arb 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 "fmpr.h"
int main()
{
slong iter;
flint_rand_t state;
flint_printf("sqrt....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
slong bits, res;
fmpr_t x, z, w;
mpfr_t X, Z;
bits = 2 + n_randint(state, 200);
fmpr_init(x);
fmpr_init(z);
fmpr_init(w);
mpfr_init2(X, 2 * (bits + 100));
mpfr_init2(Z, bits);
fmpr_randtest_special(x, state, bits + n_randint(state, 100), 10);
fmpr_randtest_special(z, state, bits + n_randint(state, 100), 10);
/* occasionally produce perfect squares */
if (n_randint(state, 4) == 0)
fmpr_mul(x, x, x, 2 * bits, FMPR_RND_DOWN);
fmpr_get_mpfr(X, x, MPFR_RNDN);
switch (n_randint(state, 4))
{
case 0:
mpfr_sqrt(Z, X, MPFR_RNDZ);
res = fmpr_sqrt(z, x, bits, FMPR_RND_DOWN);
break;
case 1:
mpfr_sqrt(Z, X, MPFR_RNDA);
res = fmpr_sqrt(z, x, bits, FMPR_RND_UP);
break;
case 2:
mpfr_sqrt(Z, X, MPFR_RNDD);
res = fmpr_sqrt(z, x, bits, FMPR_RND_FLOOR);
break;
default:
mpfr_sqrt(Z, X, MPFR_RNDU);
res = fmpr_sqrt(z, x, bits, FMPR_RND_CEIL);
break;
}
fmpr_set_mpfr(w, Z);
if (!fmpr_equal(z, w) || !fmpr_check_ulp(z, res, bits))
{
flint_printf("FAIL\n\n");
flint_printf("bits = %wd\n", bits);
flint_printf("x = "); fmpr_print(x); flint_printf("\n\n");
flint_printf("z = "); fmpr_print(z); flint_printf("\n\n");
flint_printf("w = "); fmpr_print(w); flint_printf("\n\n");
flint_abort();
}
fmpr_clear(x);
fmpr_clear(z);
fmpr_clear(w);
mpfr_clear(X);
mpfr_clear(Z);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
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