pqc/external/flint-2.4.3/fq_templates/test/t-frobenius.c

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2014-05-18 22:03:37 +00:00
/*=============================================================================
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) 2012 Sebastian Pancratz
Copyright (C) 2012 Andres Goens
Copyright (C) 2013 Mike Hansen
******************************************************************************/
#ifdef T
#include "templates.h"
#include <stdio.h>
#include <stdlib.h>
#include "ulong_extras.h"
#include "long_extras.h"
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("frobenius... ");
fflush(stdout);
/* Check aliasing */
for (i = 0; i < 1000; i++)
{
TEMPLATE(T, ctx_t) ctx;
TEMPLATE(T, t) a, b, c;
slong e;
TEMPLATE(T, ctx_randtest)(ctx, state);
TEMPLATE(T, init)(a, ctx);
TEMPLATE(T, init)(b, ctx);
TEMPLATE(T, init)(c, ctx);
TEMPLATE(T, randtest)(a, state, ctx);
TEMPLATE(T, set)(b, a, ctx);
e = n_randint(state, 10) % TEMPLATE(T, ctx_degree)(ctx);
TEMPLATE(T, frobenius)(c, b, e, ctx);
TEMPLATE(T, frobenius)(b, b, e, ctx);
result = (TEMPLATE(T, equal)(b, c, ctx));
if (!result)
{
flint_printf("FAIL (alias):\n\n");
flint_printf("a = "), TEMPLATE(T, print_pretty)(a, ctx), flint_printf("\n");
flint_printf("b = "), TEMPLATE(T, print_pretty)(b, ctx), flint_printf("\n");
flint_printf("c = "), TEMPLATE(T, print_pretty)(c, ctx), flint_printf("\n");
flint_printf("e = %wd\n", e);
abort();
}
TEMPLATE(T, clear)(a, ctx);
TEMPLATE(T, clear)(b, ctx);
TEMPLATE(T, clear)(c, ctx);
TEMPLATE(T, ctx_clear)(ctx);
}
/* Check sigma^e(x) == x^{p^e} */
for (i = 0; i < 1000; i++)
{
TEMPLATE(T, ctx_t) ctx;
TEMPLATE(T, t) a, b, c;
slong e;
TEMPLATE(T, ctx_randtest)(ctx, state);
TEMPLATE(T, init)(a, ctx);
TEMPLATE(T, init)(b, ctx);
TEMPLATE(T, init)(c, ctx);
TEMPLATE(T, randtest)(a, state, ctx);
e = n_randint(state, 10) % TEMPLATE(T, ctx_degree)(ctx);
TEMPLATE(T, frobenius)(b, a, e, ctx);
{
fmpz_t t;
fmpz_init(t);
fmpz_pow_ui(t, TEMPLATE(T, ctx_prime)(ctx), e);
TEMPLATE(T, pow)(c, a, t, ctx);
fmpz_clear(t);
}
result = (TEMPLATE(T, equal)(b,c,ctx));
if (!result)
{
flint_printf("FAIL (sigma^e(x) = x^{p^e}):\n\n");
flint_printf("a = "), TEMPLATE(T, print_pretty)(a, ctx), flint_printf("\n");
flint_printf("b = "), TEMPLATE(T, print_pretty)(b, ctx), flint_printf("\n");
flint_printf("c = "), TEMPLATE(T, print_pretty)(c, ctx), flint_printf("\n");
flint_printf("e = %wd\n", e);
abort();
}
TEMPLATE(T, clear)(a, ctx);
TEMPLATE(T, clear)(b, ctx);
TEMPLATE(T, clear)(c, ctx);
TEMPLATE(T, ctx_clear)(ctx);
}
/* Check sigma^e(x + y) = sigma^e(x) + sigma^e(y) */
for (i = 0; i < 1000; i++)
{
TEMPLATE(T, ctx_t) ctx;
TEMPLATE(T, t) a, b, s, s1, s2, lhs, rhs;
slong e;
TEMPLATE(T, ctx_randtest)(ctx, state);
TEMPLATE(T, init)(a, ctx);
TEMPLATE(T, init)(b, ctx);
TEMPLATE(T, init)(s, ctx);
TEMPLATE(T, init)(s1, ctx);
TEMPLATE(T, init)(s2, ctx);
TEMPLATE(T, init)(lhs, ctx);
TEMPLATE(T, init)(rhs, ctx);
TEMPLATE(T, randtest)(a, state, ctx);
TEMPLATE(T, randtest)(b, state, ctx);
e = n_randint(state, 10) % TEMPLATE(T, ctx_degree)(ctx);
TEMPLATE(T, add)(s, a, b, ctx);
TEMPLATE(T, frobenius)(lhs, s, e, ctx);
TEMPLATE(T, frobenius)(s1, a, e, ctx);
TEMPLATE(T, frobenius)(s2, b, e, ctx);
TEMPLATE(T, add)(rhs, s1, s2, ctx);
result = (TEMPLATE(T, equal)(lhs, rhs, ctx));
if (!result)
{
flint_printf("FAIL (sigma(a+b) = sigma(a) + sigma(b)):\n\n");
flint_printf("a = "), TEMPLATE(T, print_pretty)(a, ctx), flint_printf("\n");
flint_printf("b = "), TEMPLATE(T, print_pretty)(b, ctx), flint_printf("\n");
flint_printf("s = "), TEMPLATE(T, print_pretty)(s, ctx), flint_printf("\n");
flint_printf("s1 = "), TEMPLATE(T, print_pretty)(s1, ctx), flint_printf("\n");
flint_printf("s2 = "), TEMPLATE(T, print_pretty)(s2, ctx), flint_printf("\n");
flint_printf("lhs = "), TEMPLATE(T, print_pretty)(lhs, ctx), flint_printf("\n");
flint_printf("rhs = "), TEMPLATE(T, print_pretty)(rhs, ctx), flint_printf("\n");
flint_printf("e = %wd\n", e);
abort();
}
TEMPLATE(T, clear)(a, ctx);
TEMPLATE(T, clear)(b, ctx);
TEMPLATE(T, clear)(s, ctx);
TEMPLATE(T, clear)(s1, ctx);
TEMPLATE(T, clear)(s2, ctx);
TEMPLATE(T, clear)(lhs, ctx);
TEMPLATE(T, clear)(rhs, ctx);
TEMPLATE(T, ctx_clear)(ctx);
}
/* Check sigma^e(x * y) = sigma^e(x) * sigma^e(y) on Zq */
for (i = 0; i < 1000; i++)
{
TEMPLATE(T, ctx_t) ctx;
TEMPLATE(T, t) a, b, s, s1, s2, lhs, rhs;
slong e;
TEMPLATE(T, ctx_randtest)(ctx, state);
TEMPLATE(T, init)(a, ctx);
TEMPLATE(T, init)(b, ctx);
TEMPLATE(T, init)(s, ctx);
TEMPLATE(T, init)(s1, ctx);
TEMPLATE(T, init)(s2, ctx);
TEMPLATE(T, init)(lhs, ctx);
TEMPLATE(T, init)(rhs, ctx);
TEMPLATE(T, randtest)(a, state, ctx);
TEMPLATE(T, randtest)(b, state, ctx);
e = n_randint(state, 10) % TEMPLATE(T, ctx_degree)(ctx);
TEMPLATE(T, mul)(s, a, b, ctx);
TEMPLATE(T, frobenius)(lhs, s, e, ctx);
TEMPLATE(T, frobenius)(s1, a, e, ctx);
TEMPLATE(T, frobenius)(s2, b, e, ctx);
TEMPLATE(T, mul)(rhs, s1, s2, ctx);
result = (TEMPLATE(T, equal)(lhs, rhs, ctx));
if (!result)
{
flint_printf("FAIL (sigma(a*b) = sigma(a) * sigma(b)):\n\n");
flint_printf("a = "), TEMPLATE(T, print_pretty)(a, ctx), flint_printf("\n");
flint_printf("b = "), TEMPLATE(T, print_pretty)(b, ctx), flint_printf("\n");
flint_printf("s = "), TEMPLATE(T, print_pretty)(s, ctx), flint_printf("\n");
flint_printf("s1 = "), TEMPLATE(T, print_pretty)(s1, ctx), flint_printf("\n");
flint_printf("s2 = "), TEMPLATE(T, print_pretty)(s2, ctx), flint_printf("\n");
flint_printf("lhs = "), TEMPLATE(T, print_pretty)(lhs, ctx), flint_printf("\n");
flint_printf("rhs = "), TEMPLATE(T, print_pretty)(rhs, ctx), flint_printf("\n");
flint_printf("e = %wd\n", e);
abort();
}
TEMPLATE(T, clear)(a, ctx);
TEMPLATE(T, clear)(b, ctx);
TEMPLATE(T, clear)(s, ctx);
TEMPLATE(T, clear)(s1, ctx);
TEMPLATE(T, clear)(s2, ctx);
TEMPLATE(T, clear)(lhs, ctx);
TEMPLATE(T, clear)(rhs, ctx);
TEMPLATE(T, ctx_clear)(ctx);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
#endif