static void
_fmpq_mat_sum_of_squares(fmpq_t res, const fmpq_mat_t Q)
{
slong i, j;
fmpq_zero(res);
for (i = 0; i < fmpq_mat_nrows(Q); i++)
{
for (j = 0; j < fmpq_mat_ncols(Q); j++)
{
fmpq_addmul(res, fmpq_mat_entry(Q, i, j), fmpq_mat_entry(Q, i, j));
}
}
}
int main()
{
long iter;
flint_rand_t state;
printf("addmul....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000; iter++)
{
fmprb_t a, b, c;
fmpq_t x, y, z;
fmprb_init(a);
fmprb_init(b);
fmprb_init(c);
fmpq_init(x);
fmpq_init(y);
fmpq_init(z);
fmprb_randtest(a, state, 1 + n_randint(state, 200), 10);
fmprb_randtest(b, state, 1 + n_randint(state, 200), 10);
fmprb_randtest(c, state, 1 + n_randint(state, 200), 10);
fmprb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200));
fmprb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200));
fmprb_get_rand_fmpq(z, state, c, 1 + n_randint(state, 200));
fmprb_addmul(c, a, b, 2 + n_randint(state, 200));
fmpq_addmul(z, x, y);
if (!fmprb_contains_fmpq(c, z))
{
printf("FAIL: containment\n\n");
printf("a = "); fmprb_print(a); printf("\n\n");
printf("x = "); fmpq_print(x); printf("\n\n");
printf("b = "); fmprb_print(b); printf("\n\n");
printf("y = "); fmpq_print(y); printf("\n\n");
printf("c = "); fmprb_print(c); printf("\n\n");
printf("z = "); fmpq_print(z); printf("\n\n");
abort();
}
fmprb_clear(a);
fmprb_clear(b);
fmprb_clear(c);
fmpq_clear(x);
fmpq_clear(y);
fmpq_clear(z);
}
/* aliasing of c and a */
for (iter = 0; iter < 10000; iter++)
{
fmprb_t a, b;
fmpq_t x, y, z;
fmprb_init(a);
fmprb_init(b);
fmpq_init(x);
fmpq_init(y);
fmpq_init(z);
fmprb_randtest(a, state, 1 + n_randint(state, 200), 10);
fmprb_randtest(b, state, 1 + n_randint(state, 200), 10);
fmprb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200));
fmprb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200));
fmpq_set(z, x);
fmprb_addmul(a, a, b, 2 + n_randint(state, 200));
fmpq_addmul(z, x, y);
if (!fmprb_contains_fmpq(a, z))
{
printf("FAIL: aliasing (c, a)\n\n");
printf("a = "); fmprb_print(a); printf("\n\n");
printf("x = "); fmpq_print(x); printf("\n\n");
printf("b = "); fmprb_print(b); printf("\n\n");
printf("y = "); fmpq_print(y); printf("\n\n");
printf("z = "); fmpq_print(z); printf("\n\n");
abort();
}
fmprb_clear(a);
fmprb_clear(b);
fmpq_clear(x);
fmpq_clear(y);
fmpq_clear(z);
}
/* aliasing of c and b */
for (iter = 0; iter < 10000; iter++)
{
fmprb_t a, b;
fmpq_t x, y, z;
fmprb_init(a);
fmprb_init(b);
fmpq_init(x);
fmpq_init(y);
fmpq_init(z);
fmprb_randtest(a, state, 1 + n_randint(state, 200), 10);
fmprb_randtest(b, state, 1 + n_randint(state, 200), 10);
fmprb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200));
fmprb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200));
fmpq_set(z, y);
fmprb_addmul(b, a, b, 2 + n_randint(state, 200));
fmpq_addmul(z, x, y);
if (!fmprb_contains_fmpq(b, z))
{
printf("FAIL: aliasing (c, b)\n\n");
printf("a = "); fmprb_print(a); printf("\n\n");
printf("x = "); fmpq_print(x); printf("\n\n");
printf("b = "); fmprb_print(b); printf("\n\n");
printf("y = "); fmpq_print(y); printf("\n\n");
printf("z = "); fmpq_print(z); printf("\n\n");
abort();
}
fmprb_clear(a);
fmprb_clear(b);
fmpq_clear(x);
fmpq_clear(y);
fmpq_clear(z);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter, iter2;
flint_rand_t state;
flint_printf("addmul....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
{
arb_t a, b, c;
fmpq_t x, y, z;
arb_init(a);
arb_init(b);
arb_init(c);
fmpq_init(x);
fmpq_init(y);
fmpq_init(z);
arb_randtest(a, state, 1 + n_randint(state, 200), 10);
arb_randtest(b, state, 1 + n_randint(state, 200), 10);
arb_randtest(c, state, 1 + n_randint(state, 200), 10);
arb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200));
arb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200));
arb_get_rand_fmpq(z, state, c, 1 + n_randint(state, 200));
arb_addmul(c, a, b, 2 + n_randint(state, 200));
fmpq_addmul(z, x, y);
if (!arb_contains_fmpq(c, z))
{
flint_printf("FAIL: containment\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("x = "); fmpq_print(x); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_printf("y = "); fmpq_print(y); flint_printf("\n\n");
flint_printf("c = "); arb_print(c); flint_printf("\n\n");
flint_printf("z = "); fmpq_print(z); flint_printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
fmpq_clear(x);
fmpq_clear(y);
fmpq_clear(z);
}
/* aliasing of c and a */
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_t a, b;
fmpq_t x, y, z;
arb_init(a);
arb_init(b);
fmpq_init(x);
fmpq_init(y);
fmpq_init(z);
arb_randtest(a, state, 1 + n_randint(state, 200), 10);
arb_randtest(b, state, 1 + n_randint(state, 200), 10);
arb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200));
arb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200));
fmpq_set(z, x);
arb_addmul(a, a, b, 2 + n_randint(state, 200));
fmpq_addmul(z, x, y);
if (!arb_contains_fmpq(a, z))
{
flint_printf("FAIL: aliasing (c, a)\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("x = "); fmpq_print(x); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_printf("y = "); fmpq_print(y); flint_printf("\n\n");
flint_printf("z = "); fmpq_print(z); flint_printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
fmpq_clear(x);
fmpq_clear(y);
fmpq_clear(z);
}
/* aliasing of c and b */
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_t a, b;
fmpq_t x, y, z;
arb_init(a);
arb_init(b);
fmpq_init(x);
fmpq_init(y);
fmpq_init(z);
arb_randtest(a, state, 1 + n_randint(state, 200), 10);
arb_randtest(b, state, 1 + n_randint(state, 200), 10);
arb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200));
arb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200));
fmpq_set(z, y);
arb_addmul(b, a, b, 2 + n_randint(state, 200));
fmpq_addmul(z, x, y);
if (!arb_contains_fmpq(b, z))
{
flint_printf("FAIL: aliasing (c, b)\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("x = "); fmpq_print(x); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_printf("y = "); fmpq_print(y); flint_printf("\n\n");
flint_printf("z = "); fmpq_print(z); flint_printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
fmpq_clear(x);
fmpq_clear(y);
fmpq_clear(z);
}
/* main test */
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_t x, y, z, v;
slong prec;
arb_init(x);
arb_init(y);
arb_init(z);
arb_init(v);
for (iter2 = 0; iter2 < 100; iter2++)
{
arb_randtest_special(x, state, n_randint(state,2) ? 2000 : 200, 200);
arb_randtest_special(y, state, n_randint(state,2) ? 2000 : 200, 200);
arb_randtest_special(z, state, n_randint(state,2) ? 2000 : 200, 200);
prec = 2 + n_randint(state, 2000);
switch (n_randint(state, 5))
{
case 0:
arb_set(v, z);
arb_addmul(z, x, y, prec);
arb_addmul_naive(v, x, y, prec);
if (!arf_equal(arb_midref(z), arb_midref(v))
|| !mag_close(arb_radref(z), arb_radref(v)))
{
flint_printf("FAIL!\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("y = "); arb_print(y); flint_printf("\n\n");
flint_printf("z = "); arb_print(z); flint_printf("\n\n");
flint_printf("v = "); arb_print(v); flint_printf("\n\n");
abort();
}
break;
case 1:
arb_set(y, x);
arb_set(z, v);
arb_addmul(z, x, y, prec);
arb_addmul(v, x, x, prec);
if (!arf_equal(arb_midref(z), arb_midref(v))
|| !mag_close(arb_radref(z), arb_radref(v)))
{
flint_printf("FAIL (aliasing 1)!\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("z = "); arb_print(z); flint_printf("\n\n");
flint_printf("v = "); arb_print(v); flint_printf("\n\n");
abort();
}
break;
case 2:
arb_set(v, x);
arb_addmul(v, x, x, prec);
arb_addmul(x, x, x, prec);
if (!arf_equal(arb_midref(x), arb_midref(v))
|| !mag_close(arb_radref(x), arb_radref(v)))
{
flint_printf("FAIL (aliasing 2)!\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("v = "); arb_print(v); flint_printf("\n\n");
abort();
}
break;
case 3:
arb_set(v, x);
arb_addmul(v, x, y, prec);
arb_addmul(x, x, y, prec);
if (!arf_equal(arb_midref(x), arb_midref(v))
|| !mag_close(arb_radref(x), arb_radref(v)))
{
flint_printf("FAIL (aliasing 3)!\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("y = "); arb_print(y); flint_printf("\n\n");
flint_printf("v = "); arb_print(v); flint_printf("\n\n");
abort();
}
break;
default:
arb_set(v, x);
arb_addmul(v, x, y, prec);
arb_addmul(x, y, x, prec);
if (!arf_equal(arb_midref(x), arb_midref(v))
|| !mag_close(arb_radref(x), arb_radref(v)))
{
flint_printf("FAIL (aliasing 4)!\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("y = "); arb_print(y); flint_printf("\n\n");
flint_printf("v = "); arb_print(v); flint_printf("\n\n");
abort();
}
break;
}
}
arb_clear(x);
arb_clear(y);
arb_clear(z);
arb_clear(v);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
