int
main(void)
{
flint_rand_t state;
long i;
printf("pow....");
fflush(stdout);
flint_randinit(state);
for (i = 0; i < 1000; i++)
{
fmpz_poly_mat_t A, B, C;
long m, j, exp, bits, deg;
m = n_randint(state, 6);
deg = 1 + n_randint(state, 6);
bits = 1 + n_randint(state, 100);
exp = n_randint(state, 20);
fmpz_poly_mat_init(A, m, m);
fmpz_poly_mat_init(B, m, m);
fmpz_poly_mat_init(C, m, m);
fmpz_poly_mat_randtest(A, state, deg, bits);
fmpz_poly_mat_pow(B, A, exp);
fmpz_poly_mat_one(C);
for (j = 0; j < exp; j++)
fmpz_poly_mat_mul(C, C, A);
if (!fmpz_poly_mat_equal(C, B))
{
printf("FAIL:\n");
printf("exp = %ld\n", exp);
printf("A:\n");
fmpz_poly_mat_print(A, "x");
printf("B:\n");
fmpz_poly_mat_print(B, "x");
printf("C:\n");
fmpz_poly_mat_print(C, "x");
printf("\n");
abort();
}
fmpz_poly_mat_clear(A);
fmpz_poly_mat_clear(B);
fmpz_poly_mat_clear(C);
}
/* Check aliasing B and A */
for (i = 0; i < 1000; i++)
{
fmpz_poly_mat_t A, B;
long m, exp, bits, deg;
m = n_randint(state, 6);
deg = 1 + n_randint(state, 6);
bits = 1 + n_randint(state, 100);
exp = n_randint(state, 20);
fmpz_poly_mat_init(A, m, m);
fmpz_poly_mat_init(B, m, m);
fmpz_poly_mat_randtest(A, state, deg, bits);
fmpz_poly_mat_pow(B, A, exp);
fmpz_poly_mat_pow(A, A, exp);
if (!fmpz_poly_mat_equal(A, B))
{
printf("FAIL (aliasing)\n");
printf("exp = %ld\n", exp);
printf("A:\n");
fmpz_poly_mat_print(A, "x");
printf("B:\n");
fmpz_poly_mat_print(B, "x");
printf("\n");
abort();
}
fmpz_poly_mat_clear(A);
fmpz_poly_mat_clear(B);
}
flint_randclear(state);
_fmpz_cleanup();
printf("PASS\n");
return 0;
}
int
main(void)
{
slong i;
FLINT_TEST_INIT(state);
flint_printf("add....");
fflush(stdout);
/* Check evaluation homomorphism */
for (i = 0; i < 100 * flint_test_multiplier(); i++)
{
fmpz_poly_mat_t A, B, C;
fmpz_mat_t a, b, c, d;
fmpz_t x;
slong m, n, bits, deg;
m = n_randint(state, 20);
n = n_randint(state, 20);
deg = 1 + n_randint(state, 10);
bits = 1 + n_randint(state, 100);
fmpz_poly_mat_init(A, m, n);
fmpz_poly_mat_init(B, m, n);
fmpz_poly_mat_init(C, m, n);
fmpz_mat_init(a, m, n);
fmpz_mat_init(b, m, n);
fmpz_mat_init(c, m, n);
fmpz_mat_init(d, m, n);
fmpz_init(x);
fmpz_poly_mat_randtest(A, state, deg, bits);
fmpz_poly_mat_randtest(B, state, deg, bits);
fmpz_poly_mat_add(C, A, B);
fmpz_randtest(x, state, 1 + n_randint(state, 100));
fmpz_poly_mat_evaluate_fmpz(a, A, x);
fmpz_poly_mat_evaluate_fmpz(b, B, x);
fmpz_poly_mat_evaluate_fmpz(d, C, x);
fmpz_mat_add(c, a, b);
if (!fmpz_mat_equal(c, d))
{
flint_printf("FAIL:\n");
flint_printf("A:\n");
fmpz_poly_mat_print(A, "x");
flint_printf("B:\n");
fmpz_poly_mat_print(B, "x");
flint_printf("C:\n");
fmpz_poly_mat_print(C, "x");
flint_printf("\n");
abort();
}
fmpz_poly_mat_clear(A);
fmpz_poly_mat_clear(B);
fmpz_poly_mat_clear(C);
fmpz_mat_clear(a);
fmpz_mat_clear(b);
fmpz_mat_clear(c);
fmpz_mat_clear(d);
fmpz_clear(x);
}
/* Check aliasing C and A */
for (i = 0; i < 100 * flint_test_multiplier(); i++)
{
fmpz_poly_mat_t A, B, C;
slong m, n, bits, deg;
m = n_randint(state, 20);
n = n_randint(state, 20);
deg = 1 + n_randint(state, 10);
bits = 1 + n_randint(state, 100);
fmpz_poly_mat_init(A, m, n);
fmpz_poly_mat_init(B, m, n);
fmpz_poly_mat_init(C, m, n);
fmpz_poly_mat_randtest(A, state, deg, bits);
fmpz_poly_mat_randtest(B, state, deg, bits);
fmpz_poly_mat_add(C, A, B);
fmpz_poly_mat_add(A, A, B);
if (!fmpz_poly_mat_equal(C, A))
{
flint_printf("FAIL:\n");
flint_printf("A:\n");
fmpz_poly_mat_print(A, "x");
flint_printf("B:\n");
fmpz_poly_mat_print(B, "x");
flint_printf("C:\n");
fmpz_poly_mat_print(C, "x");
flint_printf("\n");
abort();
}
fmpz_poly_mat_clear(A);
fmpz_poly_mat_clear(B);
fmpz_poly_mat_clear(C);
}
/* Check aliasing C and B */
for (i = 0; i < 100 * flint_test_multiplier(); i++)
{
fmpz_poly_mat_t A, B, C;
slong m, n, bits, deg;
m = n_randint(state, 20);
n = n_randint(state, 20);
deg = 1 + n_randint(state, 10);
bits = 1 + n_randint(state, 100);
fmpz_poly_mat_init(A, m, n);
fmpz_poly_mat_init(B, m, n);
fmpz_poly_mat_init(C, m, n);
fmpz_poly_mat_randtest(A, state, deg, bits);
fmpz_poly_mat_randtest(B, state, deg, bits);
fmpz_poly_mat_add(C, A, B);
fmpz_poly_mat_add(B, A, B);
if (!fmpz_poly_mat_equal(C, B))
{
flint_printf("FAIL:\n");
flint_printf("A:\n");
fmpz_poly_mat_print(A, "x");
flint_printf("B:\n");
fmpz_poly_mat_print(B, "x");
flint_printf("C:\n");
fmpz_poly_mat_print(C, "x");
flint_printf("\n");
abort();
}
fmpz_poly_mat_clear(A);
fmpz_poly_mat_clear(B);
fmpz_poly_mat_clear(C);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}
int
main(void)
{
long i;
flint_rand_t state;
printf("trace....");
fflush(stdout);
flint_randinit(state);
/* Test trace(AB) = trace(BA) */
for (i = 0; i < 1000; i++)
{
fmpz_poly_mat_t A, B, AB, BA;
fmpz_poly_t trab, trba;
long m, n;
m = n_randint(state, 10);
n = n_randint(state, 10);
fmpz_poly_mat_init(A, m, n);
fmpz_poly_mat_init(B, n, m);
fmpz_poly_mat_init(AB, m, m);
fmpz_poly_mat_init(BA, n, n);
fmpz_poly_init(trab);
fmpz_poly_init(trba);
fmpz_poly_mat_randtest(A, state, 1 + n_randint(state, 10),
1 + n_randint(state, 100));
fmpz_poly_mat_randtest(B, state, 1 + n_randint(state, 10),
1 + n_randint(state, 100));
fmpz_poly_mat_mul(AB, A, B);
fmpz_poly_mat_mul(BA, B, A);
fmpz_poly_mat_trace(trab, AB);
fmpz_poly_mat_trace(trba, BA);
if (!fmpz_poly_equal(trab, trba))
{
printf("FAIL:\n");
fmpz_poly_mat_print(A, "x"), printf("\n");
fmpz_poly_mat_print(B, "x"), printf("\n");
fmpz_poly_mat_print(AB, "x"), printf("\n");
fmpz_poly_mat_print(BA, "x"), printf("\n");
printf("tr(AB): "), fmpz_poly_print(trab), printf("\n");
printf("tr(BA): "), fmpz_poly_print(trba), printf("\n");
abort();
}
fmpz_poly_mat_clear(A);
fmpz_poly_mat_clear(B);
fmpz_poly_mat_clear(AB);
fmpz_poly_mat_clear(BA);
fmpz_poly_clear(trab);
fmpz_poly_clear(trba);
}
flint_randclear(state);
_fmpz_cleanup();
printf("PASS\n");
return 0;
}
