long
nmod_poly_mat_find_pivot_partial(const nmod_poly_mat_t mat,
long start_row, long end_row, long c)
{
long best_row, best_length, i;
best_row = start_row;
best_length = nmod_poly_length(nmod_poly_mat_entry(mat, start_row, c));
for (i = start_row + 1; i < end_row; i++)
{
long l;
l = nmod_poly_length(nmod_poly_mat_entry(mat, i, c));
if (l != 0 && (best_length == 0 || l <= best_length))
{
best_row = i;
best_length = l;
}
}
if (best_length == 0)
return -1;
return best_row;
}
long
nmod_poly_mat_max_length(const nmod_poly_mat_t A)
{
long i, j, len, max;
max = 0;
for (i = 0; i < A->r; i++)
{
for (j = 0; j < A->c; j++)
{
len = nmod_poly_length(nmod_poly_mat_entry(A, i, j));
max = FLINT_MAX(len, max);
}
}
return max;
}
int
main(void)
{
int iter;
FLINT_TEST_INIT(state);
flint_printf("is_squarefree....");
fflush(stdout);
for (iter = 0; iter < 200 * flint_test_multiplier(); iter++)
{
nmod_poly_t poly, Q, R, t;
mp_limb_t modulus;
slong i, num_factors, exp, max_exp;
int v, result;
modulus = n_randtest_prime(state, 0);
nmod_poly_init(poly, modulus);
nmod_poly_init(t, modulus);
nmod_poly_init(Q, modulus);
nmod_poly_init(R, modulus);
nmod_poly_set_coeff_ui(poly, 0, n_randint(state, modulus));
num_factors = n_randint(state, 5);
max_exp = 0;
for (i = 0; i < num_factors; i++)
{
do {
nmod_poly_randtest(t, state, n_randint(state, 10));
} while (!nmod_poly_is_irreducible(t) ||
(nmod_poly_length(t) < 2));
exp = n_randint(state, 4) + 1;
if (n_randint(state, 2) == 0)
exp = 1;
nmod_poly_divrem(Q, R, poly, t);
if (!nmod_poly_is_zero(R))
{
nmod_poly_pow(t, t, exp);
nmod_poly_mul(poly, poly, t);
max_exp = FLINT_MAX(exp, max_exp);
}
}
v = nmod_poly_is_squarefree(poly);
if (v == 1)
result = (max_exp <= 1 && !nmod_poly_is_zero(poly));
else
result = (max_exp > 1 || nmod_poly_is_zero(poly));
if (!result)
{
flint_printf("FAIL: %wu, %wd, %d\n", modulus, max_exp, v);
nmod_poly_print(poly); flint_printf("\n");
abort();
}
nmod_poly_clear(poly);
nmod_poly_clear(t);
nmod_poly_clear(Q);
nmod_poly_clear(R);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}
int
main(void)
{
int i;
flint_rand_t state;
printf("sqrt... ");
fflush(stdout);
flint_randinit(state);
/* Test aliasing */
for (i = 0; i < 2000; i++)
{
nmod_poly_t a, b;
int square1, square2;
mp_limb_t mod;
mod = n_randtest_prime(state, 0);
nmod_poly_init(a, mod);
nmod_poly_init(b, mod);
nmod_poly_randtest(a, state, 1 + n_randint(state, 50));
if (n_randint(state, 2))
nmod_poly_mul(a, a, a);
square1 = nmod_poly_sqrt(b, a);
square2 = nmod_poly_sqrt(a, a);
if ((square1 != square2) || (square1 && !nmod_poly_equal(a, b)))
{
printf("FAIL: aliasing:\n");
printf("square1 = %d, square2 = %d\n\n", square1, square2);
printf("a: "); nmod_poly_print(a); printf("\n\n");
printf("b: "); nmod_poly_print(b); printf("\n\n");
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
}
/* Test random squares */
for (i = 0; i < 2000; i++)
{
nmod_poly_t a, b, c;
int square;
mp_limb_t mod;
mod = n_randtest_prime(state, 0);
nmod_poly_init(a, mod);
nmod_poly_init(b, mod);
nmod_poly_init(c, mod);
nmod_poly_randtest(a, state, 1 + n_randint(state, 50));
nmod_poly_mul(b, a, a);
square = nmod_poly_sqrt(c, b);
if (!square)
{
printf("FAIL: square reported nonsquare:\n");
printf("a: "); nmod_poly_print(a); printf("\n\n");
printf("b: "); nmod_poly_print(b); printf("\n\n");
printf("c: "); nmod_poly_print(c); printf("\n\n");
abort();
}
nmod_poly_mul(c, c, c);
if (!nmod_poly_equal(c, b))
{
printf("FAIL: sqrt(b)^2 != b:\n");
printf("a: "); nmod_poly_print(a); printf("\n\n");
printf("b: "); nmod_poly_print(b); printf("\n\n");
printf("c: "); nmod_poly_print(c); printf("\n\n");
abort();
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(c);
}
/* Test "almost" squares */
for (i = 0; i < 2000; i++)
{
nmod_poly_t a, b, c;
long j;
int square;
mp_limb_t mod;
mod = n_randtest_prime(state, 0);
nmod_poly_init(a, mod);
nmod_poly_init(b, mod);
nmod_poly_init(c, mod);
nmod_poly_randtest_not_zero(a, state, 1 + n_randint(state, 50));
nmod_poly_mul(b, a, a);
j = n_randint(state, nmod_poly_length(b));
b->coeffs[j] = n_randint(state, mod);
_nmod_poly_normalise(b);
square = nmod_poly_sqrt(c, b);
if (square)
{
nmod_poly_mul(c, c, c);
if (!nmod_poly_equal(c, b))
{
printf("FAIL: sqrt(b)^2 != b:\n");
printf("a: "); nmod_poly_print(a); printf("\n\n");
printf("b: "); nmod_poly_print(b); printf("\n\n");
printf("c: "); nmod_poly_print(c); printf("\n\n");
abort();
}
}
nmod_poly_clear(a);
nmod_poly_clear(b);
nmod_poly_clear(c);
}
flint_randclear(state);
printf("PASS\n");
return 0;
}
int
main(void)
{
int iter;
FLINT_TEST_INIT(state);
flint_printf("deflate....");
fflush(stdout);
for (iter = 0; iter < 100 * flint_test_multiplier(); iter++)
{
nmod_poly_t poly1, poly2, poly3;
mp_limb_t modulus;
ulong infl1, infl, deflation;
modulus = n_randtest_prime(state, 0);
nmod_poly_init(poly1, modulus);
nmod_poly_init(poly2, modulus);
nmod_poly_init(poly3, modulus);
nmod_poly_randtest(poly1, state, n_randint(state, 15));
if (nmod_poly_length(poly1) <= 1)
{
if (nmod_poly_deflation(poly1) != nmod_poly_length(poly1))
{
flint_printf("FAIL: wrong deflation for constant polynomial\n");
abort();
}
nmod_poly_deflate(poly2, poly1, n_randint(state, 5) + 1);
if (!nmod_poly_equal(poly2, poly1))
{
flint_printf("FAIL: constant polynomial changed on deflation\n");
abort();
}
}
else
{
infl = n_randint(state, 13) + 1;
infl1 = nmod_poly_deflation(poly1);
nmod_poly_inflate(poly2, poly1, infl);
deflation = nmod_poly_deflation(poly2);
if (deflation != infl * infl1)
{
flint_printf("FAIL: deflation = %wu, inflation: %wu, %wu\n",
deflation, infl, infl1);
flint_printf("poly1:\n"); nmod_poly_print(poly1); flint_printf("\n\n");
flint_printf("poly2:\n"); nmod_poly_print(poly2); flint_printf("\n\n");
abort();
}
nmod_poly_deflate(poly3, poly2, infl);
if (!nmod_poly_equal(poly3, poly1))
{
flint_printf("FAIL: deflation = %wu, inflation: %wu, %wu\n",
deflation, infl, infl1);
flint_printf("Deflated polynomial not equal to input:\n");
flint_printf("poly1:\n"); nmod_poly_print(poly1); flint_printf("\n\n");
flint_printf("poly2:\n"); nmod_poly_print(poly2); flint_printf("\n\n");
flint_printf("poly3:\n"); nmod_poly_print(poly2); flint_printf("\n\n");
abort();
}
nmod_poly_deflate(poly2, poly2, infl);
if (!nmod_poly_equal(poly3, poly2))
{
flint_printf("FAIL: aliasing\n");
abort();
}
}
nmod_poly_clear(poly1);
nmod_poly_clear(poly2);
nmod_poly_clear(poly3);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}