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/*
Copyright 2012, 2014, Free Software Foundation, Inc.
This file is part of the GNU MP Library test suite.
The GNU MP Library test suite is free software; you can redistribute it
and/or modify it under the terms of the GNU General Public License as
published by the Free Software Foundation; either version 3 of the License,
or (at your option) any later version.
The GNU MP Library test suite is distributed in the hope that it will be
useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
Public License for more details.
You should have received a copy of the GNU General Public License along with
the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
#include <limits.h>
#include <stdlib.h>
#include <stdio.h>
#include "testutils.h"
#define MAXBITS 400
#define COUNT 9000
/* Called when s is supposed to be floor(sqrt(u)), and r = u - s^2 */
static int
sqrtrem_valid_p (const mpz_t u, const mpz_t s, const mpz_t r)
{
mpz_t t;
mpz_init (t);
mpz_mul (t, s, s);
mpz_sub (t, u, t);
if (mpz_sgn (t) < 0 || mpz_cmp (t, r) != 0)
{
mpz_clear (t);
return 0;
}
mpz_add_ui (t, s, 1);
mpz_mul (t, t, t);
if (mpz_cmp (t, u) <= 0)
{
mpz_clear (t);
return 0;
}
mpz_clear (t);
return 1;
}
void
mpz_mpn_sqrtrem (mpz_t s, mpz_t r, const mpz_t u)
{
mp_limb_t *sp, *rp;
mp_size_t un, sn, ret;
un = mpz_size (u);
mpz_xor (s, s, u);
sn = (un + 1) / 2;
sp = mpz_limbs_write (s, sn + 1);
sp [sn] = 11;
if (un & 1)
rp = NULL; /* Exploits the fact that r already is correct. */
else {
mpz_add (r, u, s);
rp = mpz_limbs_write (r, un + 1);
rp [un] = 19;
}
ret = mpn_sqrtrem (sp, rp, mpz_limbs_read (u), un);
if (sp [sn] != 11)
{
fprintf (stderr, "mpn_sqrtrem buffer overrun on sp.\n");
abort ();
}
if (un & 1) {
if ((ret != 0) != (mpz_size (r) != 0)) {
fprintf (stderr, "mpn_sqrtrem wrong return value with NULL.\n");
abort ();
}
} else {
mpz_limbs_finish (r, ret);
if ((size_t) ret != mpz_size (r)) {
fprintf (stderr, "mpn_sqrtrem wrong return value.\n");
abort ();
}
if (rp [un] != 19)
{
fprintf (stderr, "mpn_sqrtrem buffer overrun on rp.\n");
abort ();
}
}
mpz_limbs_finish (s, (un + 1) / 2);
}
void
testmain (int argc, char **argv)
{
unsigned i;
mpz_t u, s, r;
mpz_init (s);
mpz_init (r);
mpz_init_set_si (u, -1);
if (mpz_perfect_square_p (u))
{
fprintf (stderr, "mpz_perfect_square_p failed on -1.\n");
abort ();
}
if (!mpz_perfect_square_p (s))
{
fprintf (stderr, "mpz_perfect_square_p failed on 0.\n");
abort ();
}
for (i = 0; i < COUNT; i++)
{
mini_rrandomb (u, MAXBITS - (i & 0xFF));
mpz_sqrtrem (s, r, u);
if (!sqrtrem_valid_p (u, s, r))
{
fprintf (stderr, "mpz_sqrtrem failed:\n");
dump ("u", u);
dump ("sqrt", s);
dump ("rem", r);
abort ();
}
mpz_mpn_sqrtrem (s, r, u);
if (!sqrtrem_valid_p (u, s, r))
{
fprintf (stderr, "mpn_sqrtrem failed:\n");
dump ("u", u);
dump ("sqrt", s);
dump ("rem", r);
abort ();
}
if (mpz_sgn (r) == 0) {
mpz_neg (u, u);
mpz_sub_ui (u, u, 1);
}
if ((mpz_sgn (u) <= 0 || (i & 1)) ?
mpz_perfect_square_p (u) :
mpn_perfect_square_p (mpz_limbs_read (u), mpz_size (u)))
{
fprintf (stderr, "mp%s_perfect_square_p failed on non square:\n",
(mpz_sgn (u) <= 0 || (i & 1)) ? "z" : "n");
dump ("u", u);
abort ();
}
mpz_mul (u, s, s);
if (!((mpz_sgn (u) <= 0 || (i & 1)) ?
mpz_perfect_square_p (u) :
mpn_perfect_square_p (mpz_limbs_read (u), mpz_size (u))))
{
fprintf (stderr, "mp%s_perfect_square_p failed on square:\n",
(mpz_sgn (u) <= 0 || (i & 1)) ? "z" : "n");
dump ("u", u);
abort ();
}
}
mpz_clear (u);
mpz_clear (s);
mpz_clear (r);
}
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