int
main(void)
{
int i, result;
flint_rand_t state;
printf("scalar_mul_mpq... ");
fflush(stdout);
flint_randinit(state);
/* Check aliasing of a and b */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b;
fmpz_t x1, x2;
mpq_t y;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_init(x1);
fmpz_init(x2);
mpq_init(y);
fmpz_poly_q_randtest(b, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_randtest(x1, state, 50);
fmpz_randtest_not_zero(x2, state, 50);
fmpz_get_mpz(mpq_numref(y), x1);
fmpz_get_mpz(mpq_denref(y), x2);
mpq_canonicalize(y);
fmpz_poly_q_scalar_mul_mpq(a, b, y);
fmpz_poly_q_scalar_mul_mpq(b, b, y);
result = fmpz_poly_q_equal(a, b);
if (!result)
{
printf("FAIL:\n");
fmpz_poly_q_print(a), printf("\n\n");
fmpz_poly_q_print(b), printf("\n\n");
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
fmpz_clear(x1);
fmpz_clear(x2);
mpq_clear(y);
}
/* Check that x (a + b) == x * a + x * b */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b, c, d;
fmpz_t x1, x2;
mpq_t y;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_poly_q_init(c);
fmpz_poly_q_init(d);
fmpz_init(x1);
fmpz_init(x2);
mpq_init(y);
fmpz_poly_q_randtest(a, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_randtest(b, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_randtest(x1, state, 50);
fmpz_randtest_not_zero(x2, state, 50);
fmpz_get_mpz(mpq_numref(y), x1);
fmpz_get_mpz(mpq_denref(y), x2);
mpq_canonicalize(y);
fmpz_poly_q_scalar_mul_mpq(c, a, y);
fmpz_poly_q_scalar_mul_mpq(d, b, y);
fmpz_poly_q_add(d, c, d);
fmpz_poly_q_add(c, a, b);
fmpz_poly_q_scalar_mul_mpq(c, c, y);
result = fmpz_poly_q_equal(c, d) && fmpz_poly_q_is_canonical(c);
if (!result)
{
printf("FAIL:\n");
printf("a = "), fmpz_poly_q_print(a), printf("\n\n");
printf("b = "), fmpz_poly_q_print(b), printf("\n\n");
printf("c = "), fmpz_poly_q_print(c), printf("\n\n");
printf("d = "), fmpz_poly_q_print(d), printf("\n\n");
gmp_printf("y = %Qd\n\n", y);
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
fmpz_poly_q_clear(c);
fmpz_poly_q_clear(d);
fmpz_clear(x1);
fmpz_clear(x2);
mpq_clear(y);
}
flint_randclear(state);
_fmpz_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("inv... ");
fflush(stdout);
/* Check aliasing of a and b */
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_not_zero(a, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_inv(b, a);
fmpz_poly_q_inv(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 a * (1/a) == 1 */
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_not_zero(a, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_inv(b, a);
fmpz_poly_q_mul(b, a, b);
result = fmpz_poly_q_is_one(b) && fmpz_poly_q_is_canonical(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);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int
main(void)
{
int i, result;
flint_rand_t state;
printf("scalar_div_si... ");
fflush(stdout);
flint_randinit(state);
/* Check aliasing of a and b */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b;
long x;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_poly_q_randtest(b, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
x = z_randtest_not_zero(state);
fmpz_poly_q_scalar_div_si(a, b, x);
fmpz_poly_q_scalar_div_si(b, b, x);
result = fmpz_poly_q_equal(a, b);
if (!result)
{
printf("FAIL:\n");
fmpz_poly_q_print(a), printf("\n\n");
fmpz_poly_q_print(b), printf("\n\n");
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
}
/* Check that (a + b) / x == a / x + b / x */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b, c, d;
long x;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_poly_q_init(c);
fmpz_poly_q_init(d);
fmpz_poly_q_randtest(a, state, n_randint(state, 50), 50,
n_randint(state, 50), 50);
fmpz_poly_q_randtest(b, state, n_randint(state, 50), 50,
n_randint(state, 50), 50);
x = z_randtest_not_zero(state);
fmpz_poly_q_scalar_div_si(c, a, x);
fmpz_poly_q_scalar_div_si(d, b, x);
fmpz_poly_q_add(d, c, d);
fmpz_poly_q_add(c, a, b);
fmpz_poly_q_scalar_div_si(c, c, x);
result = fmpz_poly_q_equal(c, d) && fmpz_poly_q_is_canonical(c);
if (!result)
{
printf("FAIL:\n");
printf("a = "), fmpz_poly_q_print(a), printf("\n\n");
printf("b = "), fmpz_poly_q_print(b), printf("\n\n");
printf("c = "), fmpz_poly_q_print(c), printf("\n\n");
printf("d = "), fmpz_poly_q_print(d), printf("\n\n");
printf("x = %ld\n\n", x);
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
fmpz_poly_q_clear(c);
fmpz_poly_q_clear(d);
}
flint_randclear(state);
_fmpz_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int
main(void)
{
int i, result;
flint_rand_t state;
printf("submul... ");
fflush(stdout);
flint_randinit(state);
/* Check aliasing of a and c */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b, c;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_poly_q_init(c);
fmpz_poly_q_randtest(a, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_randtest(b, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_set(c, a);
fmpz_poly_q_submul(c, a, b);
fmpz_poly_q_submul(a, a, b);
result = fmpz_poly_q_equal(a, c) && fmpz_poly_q_is_canonical(a);
if (!result)
{
printf("FAIL:\n");
fmpz_poly_q_print(a), printf("\n\n");
fmpz_poly_q_print(b), printf("\n\n");
fmpz_poly_q_print(c), printf("\n\n");
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
fmpz_poly_q_clear(c);
}
/* Check aliasing of b and c */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b, c;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_poly_q_init(c);
fmpz_poly_q_randtest(a, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_randtest(b, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_set(c, b);
fmpz_poly_q_submul(c, a, b);
fmpz_poly_q_submul(b, a, b);
result = fmpz_poly_q_equal(b, c);
if (!result)
{
printf("FAIL:\n");
fmpz_poly_q_print(a), printf("\n\n");
fmpz_poly_q_print(b), printf("\n\n");
fmpz_poly_q_print(c), printf("\n\n");
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
fmpz_poly_q_clear(c);
}
flint_randclear(state);
_fmpz_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
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;
}
int
main(void)
{
int i, result;
flint_rand_t state;
printf("div... ");
fflush(stdout);
flint_randinit(state);
/* Check aliasing of a and b */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b, c;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_poly_q_init(c);
fmpz_poly_q_randtest(b, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_randtest_not_zero(c, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_div(a, b, c);
fmpz_poly_q_div(b, b, c);
result = fmpz_poly_q_equal(a, b);
if (!result)
{
printf("FAIL:\n");
fmpz_poly_q_print(a), printf("\n\n");
fmpz_poly_q_print(b), printf("\n\n");
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
fmpz_poly_q_clear(c);
}
/* Check aliasing of a and c */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b, c;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_poly_q_init(c);
fmpz_poly_q_randtest(b, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_randtest_not_zero(c, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_div(a, b, c);
fmpz_poly_q_div(c, b, c);
result = (fmpz_poly_q_equal(a, c));
if (!result)
{
printf("FAIL:\n");
fmpz_poly_q_print(a), printf("\n\n");
fmpz_poly_q_print(c), printf("\n\n");
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
fmpz_poly_q_clear(c);
}
/* Check (c/b)+(d/b) = (c+d)/b */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a1, a2, b, c, d;
fmpz_poly_q_init(a1);
fmpz_poly_q_init(a2);
fmpz_poly_q_init(b);
fmpz_poly_q_init(c);
fmpz_poly_q_init(d);
fmpz_poly_q_randtest_not_zero(b, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_randtest(c, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_randtest(d, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_div(a1, c, b);
fmpz_poly_q_div(a2, d, b);
fmpz_poly_q_add(a1, a1, a2);
fmpz_poly_q_add(c, c, d);
fmpz_poly_q_div(a2, c, b);
result = fmpz_poly_q_equal(a1, a2) && fmpz_poly_q_is_canonical(a1);
if (!result)
{
printf("FAIL:\n");
fmpz_poly_q_print(a1), printf("\n\n");
fmpz_poly_q_print(a2), printf("\n\n");
abort();
}
fmpz_poly_q_clear(a1);
fmpz_poly_q_clear(a2);
fmpz_poly_q_clear(b);
fmpz_poly_q_clear(c);
fmpz_poly_q_clear(d);
}
flint_randclear(state);
_fmpz_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}