pqc/external/flint-2.4.3/fmpz_poly/test/t-compose.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) 2009 William Hart
Copyright (C) 2010 Sebastian Pancratz
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "fmpz.h"
#include "fmpz_poly.h"
#include "ulong_extras.h"
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("compose....");
fflush(stdout);
/* Bill's bug */
{
fmpz_poly_t f, g, h, s, t;
slong k;
fmpz_poly_init(f);
fmpz_poly_init(g);
fmpz_poly_init(h);
fmpz_poly_init(s);
fmpz_poly_init(t);
fmpz_poly_set_str(g, "21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6");
fmpz_poly_set_str(h, "8 -2411740686 -274861162464 -4294966273 -35167058005888 4261511676 -1 8589869056 -70334401183747");
fmpz_poly_set_ui(t, 1);
for (k = 0; k < g->length; k++)
{
fmpz_poly_scalar_addmul_fmpz(s, t, g->coeffs + k);
fmpz_poly_mul(t, t, h);
}
fmpz_poly_compose(f, g, h);
result = (fmpz_poly_equal(f, s));
if (!result)
{
flint_printf("FAIL (Bill's bug):\n");
flint_printf("g = "), fmpz_poly_print(g), flint_printf("\n\n");
flint_printf("h = "), fmpz_poly_print(h), flint_printf("\n\n");
flint_printf("f = "), fmpz_poly_print(f), flint_printf("\n\n");
flint_printf("s = "), fmpz_poly_print(s), flint_printf("\n\n");
abort();
}
fmpz_poly_clear(f);
fmpz_poly_clear(g);
fmpz_poly_clear(h);
fmpz_poly_clear(s);
fmpz_poly_clear(t);
}
/* Check aliasing of the first argument */
for (i = 0; i < 10 * flint_test_multiplier(); i++)
{
fmpz_poly_t f, g, h;
fmpz_poly_init(f);
fmpz_poly_init(g);
fmpz_poly_init(h);
fmpz_poly_randtest(g, state, n_randint(state, 40), 80);
fmpz_poly_randtest(h, state, n_randint(state, 20), 50);
fmpz_poly_compose(f, g, h);
fmpz_poly_compose(g, g, h);
result = (fmpz_poly_equal(f, g));
if (!result)
{
flint_printf("FAIL (aliasing 1):\n");
fmpz_poly_print(f), flint_printf("\n\n");
fmpz_poly_print(g), flint_printf("\n\n");
abort();
}
fmpz_poly_clear(f);
fmpz_poly_clear(g);
fmpz_poly_clear(h);
}
/* Check aliasing of the second argument */
for (i = 0; i < 10 * flint_test_multiplier(); i++)
{
fmpz_poly_t f, g, h;
fmpz_poly_init(f);
fmpz_poly_init(g);
fmpz_poly_init(h);
fmpz_poly_randtest(g, state, n_randint(state, 40), 80);
fmpz_poly_randtest(h, state, n_randint(state, 20), 50);
fmpz_poly_compose(f, g, h);
fmpz_poly_compose(h, g, h);
result = (fmpz_poly_equal(f, h));
if (!result)
{
flint_printf("FAIL (aliasing 2):\n");
fmpz_poly_print(f), flint_printf("\n\n");
fmpz_poly_print(h), flint_printf("\n\n");
abort();
}
fmpz_poly_clear(f);
fmpz_poly_clear(g);
fmpz_poly_clear(h);
}
/* Compare with the naive method for g(h(t)) */
for (i = 0; i < 10 * flint_test_multiplier(); i++)
{
fmpz_poly_t f, g, h, s, t;
slong k;
fmpz_poly_init(f);
fmpz_poly_init(g);
fmpz_poly_init(h);
fmpz_poly_init(s);
fmpz_poly_init(t);
fmpz_poly_randtest(g, state, n_randint(state, 40), 80);
fmpz_poly_randtest(h, state, n_randint(state, 20), 50);
fmpz_poly_set_ui(t, 1);
for (k = 0; k < g->length; k++)
{
fmpz_poly_scalar_addmul_fmpz(s, t, g->coeffs + k);
fmpz_poly_mul(t, t, h);
}
fmpz_poly_compose(f, g, h);
result = (fmpz_poly_equal(f, s));
if (!result)
{
flint_printf("FAIL (comparison):\n");
flint_printf("g = "), fmpz_poly_print(g), flint_printf("\n\n");
flint_printf("h = "), fmpz_poly_print(h), flint_printf("\n\n");
flint_printf("f = "), fmpz_poly_print(f), flint_printf("\n\n");
flint_printf("s = "), fmpz_poly_print(s), flint_printf("\n\n");
abort();
}
fmpz_poly_clear(f);
fmpz_poly_clear(g);
fmpz_poly_clear(h);
fmpz_poly_clear(s);
fmpz_poly_clear(t);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}