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/*
Copyright (C) 2015 Kushagra Singh
This file is part of FLINT.
FLINT 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 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
#include "test_helpers.h"
#include "gmpcompat.h"
#include "ulong_extras.h"
TEST_FUNCTION_START(n_root, state)
{
int i, result;
ulong upper_limit;
#if FLINT64
upper_limit = 2642245;
#else
upper_limit = 1625;
#endif
/* random n and root */
for (i = 0; i < 10000 * flint_test_multiplier(); i++)
{
ulong a, c, d, val;
mpz_t e, f, g;
mpz_init(e);
mpz_init(f);
mpz_init(g);
c = n_randtest(state); /*number */
flint_mpz_set_ui(g, c);
d = n_randint(state, 0); /*root */
flint_mpz_set_ui(f, d);
a = n_root(c, d);
mpz_root(e, g, d);
val = flint_mpz_get_ui(e);
result = (a == val);
if (!result)
TEST_FUNCTION_FAIL(
"Passed Parameters : n = %wu root = %wu\n"
"Answer generated : base = %wu\n"
"Expected answer : base = %wu\n",
c, d, a, val);
mpz_clear(e);
mpz_clear(f);
mpz_clear(g);
}
/* n of type a^b */
for (i = 0; i < 10000 * flint_test_multiplier(); i++)
{
ulong a, c, d, max_pow, base;
base = n_randint(state, upper_limit - 2) + 2; /* base form 2 to 2642245*/
max_pow = n_flog(UWORD_MAX, base);
d = n_randint(state, max_pow); /* root */
if (!d)
d+=1;
c = n_pow(base, d); /* number */
a = n_root(c, d);
result = (a == base);
if (!result)
TEST_FUNCTION_FAIL(
"Passed Parameters : n = %wu root = %wu\n"
"Answer generated : base = %wu\n"
"Expected answer : base = %wu\n",
c, d, a, base);
}
/* n of type a^b + 1 */
for (i = 0; i < 10000 * flint_test_multiplier(); i++)
{
ulong a, c, d, max_pow, base;
base = n_randint(state, upper_limit - 2) + 2; /* base between 2 to 2642245*/
max_pow = n_flog(UWORD_MAX, base);
d = n_randint(state, max_pow);
if (d < 2) /* root between 2 to max_pow */
d = 2;
c = n_pow(base, d) + 1; /* number */
a = n_root(c, d);
result = (a == base);
if (!result)
TEST_FUNCTION_FAIL(
"Passed Parameters : n = %wu root = %wu\n"
"Answer generated : base = %wu\n"
"Expected answer : base = %wu\n",
c, d, a, base);
}
/* n of type a^b - 1 */
for (i = 0; i < 10000 * flint_test_multiplier(); i++)
{
ulong a, c, d, max_pow, base, val;
mpz_t e, g, h;
mpz_init(e);
mpz_init(g);
mpz_init(h);
base = n_randint(state, upper_limit - 2) + 2; /* base between 2 to 2642245*/
max_pow = n_flog(UWORD_MAX, base);
d = n_randint(state, max_pow);
if (d < 2) /* root between 2 to max_pow */
d = 2;
flint_mpz_set_ui(h, d);
c = n_pow(base, d) - 1; /* number */
flint_mpz_set_ui(g, c);
a = n_root(c, d);
mpz_root(e, g, d);
val = flint_mpz_get_ui(e);
result = (a == val);
if (!result)
TEST_FUNCTION_FAIL(
"Passed Parameters : n = %wu root = %wu\n"
"Answer generated : base = %wu\n"
"Expected answer : base = %wu\n",
c, d, a, val);
mpz_clear(e);
mpz_clear(g);
mpz_clear(h);
}
TEST_FUNCTION_END(state);
}