pqc/external/flint-2.4.3/fmpz_poly_q/test/t-derivative.c

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2014-05-18 22:03:37 +00:00
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "fmpz_poly_q.h"
#include "long_extras.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 < 100; i++)
{
fmpz_poly_q_t a, b;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_poly_q_randtest(a, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_derivative(b, a);
fmpz_poly_q_derivative(a, a);
result = fmpz_poly_q_equal(a, b);
if (!result)
{
flint_printf("FAIL:\n");
fmpz_poly_q_print(a), flint_printf("\n\n");
fmpz_poly_q_print(b), flint_printf("\n\n");
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
}
/* Check constants have derivative zero */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_poly_q_set_si(a, z_randtest(state));
fmpz_poly_q_derivative(b, a);
result = fmpz_poly_q_is_zero(b);
if (!result)
{
flint_printf("FAIL:\n");
fmpz_poly_q_print(a), flint_printf("\n\n");
fmpz_poly_q_print(b), flint_printf("\n\n");
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
}
/* Check (f g)' = f' g + f g' */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b, c, d, lhs, rhs;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_poly_q_init(c);
fmpz_poly_q_init(d);
fmpz_poly_q_init(lhs);
fmpz_poly_q_init(rhs);
fmpz_poly_q_randtest(a, state, n_randint(state, 20), 20, n_randint(state, 20), 20);
fmpz_poly_q_randtest(b, state, n_randint(state, 20), 20, n_randint(state, 20), 20);
fmpz_poly_q_mul(lhs, a, b);
fmpz_poly_q_derivative(lhs, lhs);
fmpz_poly_q_derivative(c, a);
fmpz_poly_q_derivative(d, b);
fmpz_poly_q_mul(c, c, b);
fmpz_poly_q_mul(d, a, d);
fmpz_poly_q_add(rhs, c, d);
result = fmpz_poly_q_equal(lhs, rhs) && fmpz_poly_q_is_canonical(lhs)
&& fmpz_poly_q_is_canonical(rhs);
if (!result)
{
flint_printf("FAIL:\n");
fmpz_poly_q_print(a), flint_printf("\n\n");
fmpz_poly_q_print(b), flint_printf("\n\n");
fmpz_poly_q_print(lhs), flint_printf("\n\n");
fmpz_poly_q_print(rhs), flint_printf("\n\n");
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
fmpz_poly_q_clear(c);
fmpz_poly_q_clear(d);
fmpz_poly_q_clear(lhs);
fmpz_poly_q_clear(rhs);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return EXIT_SUCCESS;
}