117 lines
2.9 KiB
C
117 lines
2.9 KiB
C
#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;
|
|
}
|