123 lines
3.7 KiB
C
123 lines
3.7 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) 2013 Mike Hansen
|
||
|
|
|
||
|
|
******************************************************************************/
|
||
|
|
|
||
|
|
#include <stdio.h>
|
||
|
|
#include <stdlib.h>
|
||
|
|
|
||
|
|
#include "fq_zech.h"
|
||
|
|
#include "ulong_extras.h"
|
||
|
|
#include "long_extras.h"
|
||
|
|
|
||
|
|
int
|
||
|
|
main(void)
|
||
|
|
{
|
||
|
|
int j, i, result;
|
||
|
|
fq_zech_ctx_t ctx;
|
||
|
|
FLINT_TEST_INIT(state);
|
||
|
|
|
||
|
|
flint_printf("frobenius... ");
|
||
|
|
fflush(stdout);
|
||
|
|
|
||
|
|
for (j = 0; j < 10; j++)
|
||
|
|
{
|
||
|
|
fq_zech_ctx_randtest(ctx, state);
|
||
|
|
|
||
|
|
/* Check aliasing: a = frob(a, e) */
|
||
|
|
for (i = 0; i < 100; i++)
|
||
|
|
{
|
||
|
|
fq_zech_t a, b;
|
||
|
|
fmpz_t e;
|
||
|
|
|
||
|
|
fq_zech_init(a, ctx);
|
||
|
|
fq_zech_init(b, ctx);
|
||
|
|
fmpz_init(e);
|
||
|
|
|
||
|
|
fq_zech_randtest(a, state, ctx);
|
||
|
|
fmpz_randtest_unsigned(e, state, 6);
|
||
|
|
|
||
|
|
fq_zech_frobenius(b, a, fmpz_get_ui(e), ctx);
|
||
|
|
fq_zech_frobenius(a, a, fmpz_get_ui(e), ctx);
|
||
|
|
|
||
|
|
result = (fq_zech_equal(a, b, ctx));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL (alias):\n\n");
|
||
|
|
flint_printf("a = "), fq_zech_print_pretty(a, ctx), flint_printf("\n");
|
||
|
|
flint_printf("b = "), fq_zech_print_pretty(b, ctx), flint_printf("\n");
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
fq_zech_clear(a, ctx);
|
||
|
|
fq_zech_clear(b, ctx);
|
||
|
|
fmpz_clear(e);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* Compare with exponentiation, for integral values */
|
||
|
|
for (i = 0; i < 100; i++)
|
||
|
|
{
|
||
|
|
fq_zech_t a, b, c;
|
||
|
|
fmpz_t e, f;
|
||
|
|
|
||
|
|
fq_zech_init(a, ctx);
|
||
|
|
fq_zech_init(b, ctx);
|
||
|
|
fq_zech_init(c, ctx);
|
||
|
|
fmpz_init(f);
|
||
|
|
fmpz_init(e);
|
||
|
|
|
||
|
|
fq_zech_randtest(a, state, ctx);
|
||
|
|
fmpz_randtest_unsigned(e, state, 6);
|
||
|
|
|
||
|
|
fq_zech_frobenius(b, a, fmpz_get_ui(e), ctx);
|
||
|
|
|
||
|
|
fmpz_pow_ui(e, fq_zech_ctx_prime(ctx), fmpz_get_ui(e));
|
||
|
|
fq_zech_pow(c, a, e, ctx);
|
||
|
|
|
||
|
|
result = (fq_zech_equal(b, c, ctx));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL (cmp with pow):\n\n");
|
||
|
|
flint_printf("a = "), fq_zech_print_pretty(a, ctx), flint_printf("\n");
|
||
|
|
flint_printf("b = "), fq_zech_print_pretty(b, ctx), flint_printf("\n");
|
||
|
|
flint_printf("c = "), fq_zech_print_pretty(b, ctx), flint_printf("\n");
|
||
|
|
flint_printf("e = "), fmpz_print(e), flint_printf("\n");
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
fq_zech_clear(a, ctx);
|
||
|
|
fq_zech_clear(b, ctx);
|
||
|
|
fq_zech_clear(c, ctx);
|
||
|
|
fmpz_clear(e);
|
||
|
|
fmpz_clear(f);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
fq_zech_ctx_clear(ctx);
|
||
|
|
}
|
||
|
|
|
||
|
|
FLINT_TEST_CLEANUP(state);
|
||
|
|
flint_printf("PASS\n");
|
||
|
|
return EXIT_SUCCESS;
|
||
|
|
}
|