239 lines
7.4 KiB
C
239 lines
7.4 KiB
C
|
/*=============================================================================
|
||
|
|
|
||
|
|
This file is part of FLINT.
|
||
|
|
|
||
|
|
FLINT 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 2 of the License, or
|
||
|
|
(at your option) any later version.
|
||
|
|
|
||
|
|
FLINT 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 FLINT; if not, write to the Free Software
|
||
|
|
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
|
||
|
|
|
||
|
|
=============================================================================*/
|
||
|
|
/******************************************************************************
|
||
|
|
|
||
|
|
Copyright (C) 2009 William Hart
|
||
|
|
Copyright (C) 2011 Fredrik Johansson
|
||
|
|
Copyright (C) 2012 Lina Kulakova
|
||
|
|
|
||
|
|
******************************************************************************/
|
||
|
|
|
||
|
|
#include <stdio.h>
|
||
|
|
#include <stdlib.h>
|
||
|
|
#include <gmp.h>
|
||
|
|
#include "flint.h"
|
||
|
|
#include "fmpz_vec.h"
|
||
|
|
#include "fmpz_mod_poly.h"
|
||
|
|
#include "ulong_extras.h"
|
||
|
|
|
||
|
|
int
|
||
|
|
main(void)
|
||
|
|
{
|
||
|
|
int i, result;
|
||
|
|
FLINT_TEST_INIT(state);
|
||
|
|
|
||
|
|
|
||
|
|
flint_printf("powmod_fmpz_binexp....");
|
||
|
|
fflush(stdout);
|
||
|
|
|
||
|
|
/* Aliasing of res and a */
|
||
|
|
for (i = 0; i < 250; i++)
|
||
|
|
{
|
||
|
|
fmpz_mod_poly_t a, res, t, f;
|
||
|
|
fmpz_t p;
|
||
|
|
ulong exp;
|
||
|
|
fmpz_t expz;
|
||
|
|
|
||
|
|
fmpz_init(p);
|
||
|
|
fmpz_set_ui(p, n_randtest_prime(state, 0));
|
||
|
|
exp = n_randint(state, 50);
|
||
|
|
fmpz_init_set_ui(expz, exp);
|
||
|
|
|
||
|
|
fmpz_mod_poly_init(a, p);
|
||
|
|
fmpz_mod_poly_init(f, p);
|
||
|
|
fmpz_mod_poly_init(res, p);
|
||
|
|
fmpz_mod_poly_init(t, p);
|
||
|
|
|
||
|
|
fmpz_mod_poly_randtest(a, state, n_randint(state, 50));
|
||
|
|
fmpz_mod_poly_randtest_not_zero(f, state, n_randint(state, 50) + 1);
|
||
|
|
|
||
|
|
fmpz_mod_poly_powmod_fmpz_binexp(res, a, expz, f);
|
||
|
|
fmpz_mod_poly_powmod_fmpz_binexp(a, a, expz, f);
|
||
|
|
|
||
|
|
result = (fmpz_mod_poly_equal(res, a));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL:\n");
|
||
|
|
flint_printf("a:\n"); fmpz_mod_poly_print(a), flint_printf("\n\n");
|
||
|
|
flint_printf("f:\n"); fmpz_mod_poly_print(f), flint_printf("\n\n");
|
||
|
|
flint_printf("res:\n"); fmpz_mod_poly_print(res), flint_printf("\n\n");
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
fmpz_clear(p);
|
||
|
|
fmpz_mod_poly_clear(a);
|
||
|
|
fmpz_mod_poly_clear(f);
|
||
|
|
fmpz_mod_poly_clear(res);
|
||
|
|
fmpz_mod_poly_clear(t);
|
||
|
|
fmpz_clear(expz);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* Aliasing of res and f */
|
||
|
|
for (i = 0; i < 250; i++)
|
||
|
|
{
|
||
|
|
fmpz_mod_poly_t a, res, t, f;
|
||
|
|
fmpz_t p;
|
||
|
|
ulong exp;
|
||
|
|
fmpz_t expz;
|
||
|
|
|
||
|
|
fmpz_init(p);
|
||
|
|
fmpz_set_ui(p, n_randtest_prime(state, 0));
|
||
|
|
exp = n_randint(state, 50);
|
||
|
|
fmpz_init_set_ui(expz, exp);
|
||
|
|
|
||
|
|
fmpz_mod_poly_init(a, p);
|
||
|
|
fmpz_mod_poly_init(f, p);
|
||
|
|
fmpz_mod_poly_init(res, p);
|
||
|
|
fmpz_mod_poly_init(t, p);
|
||
|
|
|
||
|
|
fmpz_mod_poly_randtest(a, state, n_randint(state, 50));
|
||
|
|
fmpz_mod_poly_randtest_not_zero(f, state, n_randint(state, 50) + 1);
|
||
|
|
|
||
|
|
fmpz_mod_poly_powmod_fmpz_binexp(res, a, expz, f);
|
||
|
|
fmpz_mod_poly_powmod_fmpz_binexp(f, a, expz, f);
|
||
|
|
|
||
|
|
result = (fmpz_mod_poly_equal(res, f));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL:\n");
|
||
|
|
flint_printf("a:\n"); fmpz_mod_poly_print(a), flint_printf("\n\n");
|
||
|
|
flint_printf("f:\n"); fmpz_mod_poly_print(f), flint_printf("\n\n");
|
||
|
|
flint_printf("res:\n"); fmpz_mod_poly_print(res), flint_printf("\n\n");
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
fmpz_clear(p);
|
||
|
|
fmpz_mod_poly_clear(a);
|
||
|
|
fmpz_mod_poly_clear(f);
|
||
|
|
fmpz_mod_poly_clear(res);
|
||
|
|
fmpz_mod_poly_clear(t);
|
||
|
|
fmpz_clear(expz);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* No aliasing */
|
||
|
|
for (i = 0; i < 500; i++)
|
||
|
|
{
|
||
|
|
fmpz_mod_poly_t a, res1, res2, t, f;
|
||
|
|
fmpz_t p;
|
||
|
|
ulong exp;
|
||
|
|
fmpz_t expz;
|
||
|
|
|
||
|
|
fmpz_init(p);
|
||
|
|
fmpz_set_ui(p, n_randtest_prime(state, 0));
|
||
|
|
exp = n_randint(state, 50);
|
||
|
|
|
||
|
|
fmpz_mod_poly_init(a, p);
|
||
|
|
fmpz_mod_poly_init(f, p);
|
||
|
|
fmpz_mod_poly_init(res1, p);
|
||
|
|
fmpz_mod_poly_init(res2, p);
|
||
|
|
fmpz_mod_poly_init(t, p);
|
||
|
|
|
||
|
|
fmpz_mod_poly_randtest(a, state, n_randint(state, 50));
|
||
|
|
fmpz_mod_poly_randtest_not_zero(f, state, n_randint(state, 50) + 1);
|
||
|
|
fmpz_init_set_ui(expz, exp);
|
||
|
|
|
||
|
|
fmpz_mod_poly_powmod_fmpz_binexp(res1, a, expz, f);
|
||
|
|
fmpz_mod_poly_powmod_ui_binexp(res2, a, exp, f);
|
||
|
|
|
||
|
|
result = (fmpz_mod_poly_equal(res1, res2));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL:\n");
|
||
|
|
flint_printf("a:\n"); fmpz_mod_poly_print(a), flint_printf("\n\n");
|
||
|
|
flint_printf("f:\n"); fmpz_mod_poly_print(f), flint_printf("\n\n");
|
||
|
|
flint_printf("res1:\n"); fmpz_mod_poly_print(res1), flint_printf("\n\n");
|
||
|
|
flint_printf("res2:\n"); fmpz_mod_poly_print(res2), flint_printf("\n\n");
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
fmpz_clear(p);
|
||
|
|
fmpz_mod_poly_clear(a);
|
||
|
|
fmpz_mod_poly_clear(f);
|
||
|
|
fmpz_mod_poly_clear(res1);
|
||
|
|
fmpz_mod_poly_clear(res2);
|
||
|
|
fmpz_mod_poly_clear(t);
|
||
|
|
fmpz_clear(expz);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* Check that a^(b+c) = a^b * a^c */
|
||
|
|
for (i = 0; i < 500; i++)
|
||
|
|
{
|
||
|
|
fmpz_mod_poly_t a, res1, res2, res3, res4, t, f;
|
||
|
|
fmpz_t p;
|
||
|
|
fmpz_t exp1, exp2, exp3;
|
||
|
|
|
||
|
|
fmpz_init(p);
|
||
|
|
fmpz_set_ui(p, n_randtest_prime(state, 0));
|
||
|
|
|
||
|
|
fmpz_init(exp1);
|
||
|
|
fmpz_init(exp2);
|
||
|
|
fmpz_randtest(exp1, state, 200);
|
||
|
|
if (fmpz_sgn(exp1) == -1) fmpz_neg(exp1, exp1);
|
||
|
|
fmpz_randtest(exp2, state, 200);
|
||
|
|
if (fmpz_sgn(exp2) == -1) fmpz_neg(exp2, exp2);
|
||
|
|
|
||
|
|
fmpz_mod_poly_init(a, p);
|
||
|
|
fmpz_mod_poly_init(f, p);
|
||
|
|
fmpz_mod_poly_init(res1, p);
|
||
|
|
fmpz_mod_poly_init(res2, p);
|
||
|
|
fmpz_mod_poly_init(res3, p);
|
||
|
|
fmpz_mod_poly_init(res4, p);
|
||
|
|
fmpz_mod_poly_init(t, p);
|
||
|
|
|
||
|
|
fmpz_mod_poly_randtest(a, state, n_randint(state, 50));
|
||
|
|
fmpz_mod_poly_randtest_not_zero(f, state, n_randint(state, 50) + 1);
|
||
|
|
|
||
|
|
fmpz_mod_poly_powmod_fmpz_binexp(res1, a, exp1, f);
|
||
|
|
fmpz_mod_poly_powmod_fmpz_binexp(res2, a, exp2, f);
|
||
|
|
fmpz_mod_poly_mulmod(res4, res1, res2, f);
|
||
|
|
fmpz_init(exp3);
|
||
|
|
fmpz_add(exp3, exp1, exp2);
|
||
|
|
fmpz_mod_poly_powmod_fmpz_binexp(res3, a, exp3, f);
|
||
|
|
|
||
|
|
result = (fmpz_mod_poly_equal(res4, res3));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL:\n");
|
||
|
|
flint_printf("a:\n"); fmpz_mod_poly_print(a), flint_printf("\n\n");
|
||
|
|
flint_printf("f:\n"); fmpz_mod_poly_print(f), flint_printf("\n\n");
|
||
|
|
flint_printf("res3:\n"); fmpz_mod_poly_print(res3), flint_printf("\n\n");
|
||
|
|
flint_printf("res4:\n"); fmpz_mod_poly_print(res4), flint_printf("\n\n");
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
fmpz_clear(p);
|
||
|
|
fmpz_mod_poly_clear(a);
|
||
|
|
fmpz_mod_poly_clear(f);
|
||
|
|
fmpz_mod_poly_clear(res1);
|
||
|
|
fmpz_mod_poly_clear(res2);
|
||
|
|
fmpz_mod_poly_clear(res3);
|
||
|
|
fmpz_mod_poly_clear(res4);
|
||
|
|
fmpz_mod_poly_clear(t);
|
||
|
|
fmpz_clear(exp1);
|
||
|
|
fmpz_clear(exp2);
|
||
|
|
fmpz_clear(exp3);
|
||
|
|
}
|
||
|
|
|
||
|
|
FLINT_TEST_CLEANUP(state);
|
||
|
|
|
||
|
|
flint_printf("PASS\n");
|
||
|
|
return 0;
|
||
|
|
}
|