pqc/external/flint-2.4.3/fmpz_poly/test/t-derivative.c
2014-05-24 23:16:06 +02:00

139 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) 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("derivative....");
fflush(stdout);
/* Check aliasing */
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
{
fmpz_poly_t a, b;
fmpz_poly_init(a);
fmpz_poly_init(b);
fmpz_poly_randtest(a, state, n_randint(state, 100), 200);
fmpz_poly_derivative(b, a);
fmpz_poly_derivative(a, a);
result = (fmpz_poly_equal(a, b));
if (!result)
{
flint_printf("FAIL:\n");
fmpz_poly_print(a), flint_printf("\n\n");
fmpz_poly_print(b), flint_printf("\n\n");
abort();
}
fmpz_poly_clear(a);
fmpz_poly_clear(b);
}
/* Check constants have derivative zero */
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
{
fmpz_poly_t a, b;
fmpz_poly_init(a);
fmpz_poly_init(b);
fmpz_poly_randtest(a, state, n_randint(state, 2), 200);
fmpz_poly_derivative(b, a);
result = (b->length == UWORD(0));
if (!result)
{
flint_printf("FAIL:\n");
fmpz_poly_print(a), flint_printf("\n\n");
fmpz_poly_print(b), flint_printf("\n\n");
abort();
}
fmpz_poly_clear(a);
fmpz_poly_clear(b);
}
/* Check (f g)' = f' g + f g' */
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
{
fmpz_poly_t a, b, c, d, lhs, rhs;
fmpz_poly_init(a);
fmpz_poly_init(b);
fmpz_poly_init(c);
fmpz_poly_init(d);
fmpz_poly_init(lhs);
fmpz_poly_init(rhs);
fmpz_poly_randtest(a, state, n_randint(state, 100), 200);
fmpz_poly_randtest(b, state, n_randint(state, 100), 200);
fmpz_poly_mul(lhs, a, b);
fmpz_poly_derivative(lhs, lhs);
fmpz_poly_derivative(c, a);
fmpz_poly_derivative(d, b);
fmpz_poly_mul(c, c, b);
fmpz_poly_mul(d, a, d);
fmpz_poly_add(rhs, c, d);
result = fmpz_poly_equal(lhs, rhs);
if (!result)
{
flint_printf("FAIL:\n");
fmpz_poly_print(a), flint_printf("\n\n");
fmpz_poly_print(b), flint_printf("\n\n");
abort();
}
fmpz_poly_clear(a);
fmpz_poly_clear(b);
fmpz_poly_clear(c);
fmpz_poly_clear(d);
fmpz_poly_clear(lhs);
fmpz_poly_clear(rhs);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}