pqc/external/flint-2.4.3/fq_poly_templates/randtest_irreducible.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) 2013 Mike Hansen
******************************************************************************/
#ifdef T
#include "templates.h"
void
TEMPLATE(T, poly_randtest_irreducible) (TEMPLATE(T, poly_t) f,
flint_rand_t state, slong len,
const TEMPLATE(T, ctx_t) ctx)
{
TEMPLATE(T, poly_t) xq, xqi, x, g_i, finv;
fmpz_t q;
slong i, restart;
/* Compute q */
fmpz_init_set(q, TEMPLATE(T, ctx_prime) (ctx));
fmpz_pow_ui(q, q, TEMPLATE(T, ctx_degree) (ctx));
TEMPLATE(T, poly_init) (x, ctx);
TEMPLATE(T, poly_gen) (x, ctx);
TEMPLATE(T, poly_init) (xq, ctx);
TEMPLATE(T, poly_init) (xqi, ctx);
TEMPLATE(T, poly_init) (g_i, ctx);
TEMPLATE(T, poly_init) (finv, ctx);
while (1)
{
restart = 0;
/* Generate random monic polynomial of length len */
TEMPLATE(T, poly_randtest_monic) (f, state, len, ctx);
TEMPLATE(T, poly_reverse) (finv, f, f->length, ctx);
TEMPLATE(T, poly_inv_series_newton) (finv, finv, f->length, ctx);
/* Compute xq = x^q mod f */
TEMPLATE(T, poly_powmod_fmpz_binexp_preinv) (xq, x, q, f, finv, ctx);
TEMPLATE(T, poly_set) (xqi, xq, ctx);
for (i = 1; i <= (len - 1) / 2; i++)
{
TEMPLATE(T, poly_sub) (xqi, xqi, x, ctx);
TEMPLATE(T, poly_gcd) (g_i, xqi, f, ctx);
TEMPLATE(T, poly_add) (xqi, xqi, x, ctx);
if (!TEMPLATE(T, poly_is_one) (g_i, ctx))
{
restart = 1;
break;
}
TEMPLATE(T, poly_compose_mod_brent_kung_preinv) (xqi, xqi, xq, f,
finv, ctx);
}
if (!restart)
{
break;
}
}
TEMPLATE(T, poly_clear) (x, ctx);
TEMPLATE(T, poly_clear) (xq, ctx);
TEMPLATE(T, poly_clear) (xqi, ctx);
TEMPLATE(T, poly_clear) (g_i, ctx);
TEMPLATE(T, poly_clear) (finv, ctx);
fmpz_clear(q);
}
#endif