int main()
{
slong iter;
flint_rand_t state;
flint_printf("csch....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
{
arb_t x, a, b;
slong prec1, prec2;
prec1 = 2 + n_randint(state, 200);
prec2 = prec1 + 30;
arb_init(x);
arb_init(a);
arb_init(b);
arb_randtest_special(x, state, 1 + n_randint(state, 300), 100);
arb_randtest_special(a, state, 1 + n_randint(state, 300), 100);
arb_randtest_special(b, state, 1 + n_randint(state, 300), 100);
if (n_randint(state, 2))
{
arb_csch(a, x, prec1);
}
else
{
arb_set(a, x);
arb_csch(a, a, prec1);
}
arb_sinh(b, x, prec2);
arb_inv(b, b, prec2);
/* check consistency */
if (!arb_overlaps(a, b))
{
flint_printf("FAIL: overlap\n\n");
flint_printf("x = "); arb_printn(x, 20, 0); flint_printf("\n\n");
flint_printf("a = "); arb_printn(a, 20, 0); flint_printf("\n\n");
flint_printf("b = "); arb_printn(b, 20, 0); flint_printf("\n\n");
flint_abort();
}
arb_clear(x);
arb_clear(a);
arb_clear(b);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
long iter;
flint_rand_t state;
printf("richcmp....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000000; iter++)
{
arb_t a, b;
int op, res1, res2;
arb_init(a);
arb_init(b);
arb_randtest_special(a, state, 1 + n_randint(state, 100), 5);
arb_randtest_special(b, state, 1 + n_randint(state, 100), 5);
op = n_randint(state, 6);
res1 = arb_richcmp(a, b, op);
res2 = arb_richcmp_fallback(a, b, op);
if (res1 != res2)
{
printf("FAIL:\n\n");
printf("a = "); arb_print(a); printf("\n\n");
printf("b = "); arb_print(b); printf("\n\n");
printf("a = "); arb_printd(a, 30); printf("\n\n");
printf("b = "); arb_printd(b, 30); printf("\n\n");
printf("op = %d\n\n", op);
printf("res1 (cmp) = %d\n\n", res1);
printf("res2 (fallback) = %d\n\n", res2);
abort();
}
arb_clear(a);
arb_clear(b);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("csgn....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
{
acb_t x, y;
arb_t a;
slong prec;
acb_init(x);
acb_init(y);
arb_init(a);
acb_randtest_special(x, state, 1 + n_randint(state, 200), 2 + n_randint(state, 100));
arb_randtest_special(a, state, 1 + n_randint(state, 200), 2 + n_randint(state, 100));
prec = 2 + n_randint(state, 200);
acb_csgn(a, x);
if (acb_is_zero(x))
{
acb_zero(y);
}
else
{
acb_mul(y, x, x, prec);
acb_sqrt(y, y, prec);
acb_div(y, y, x, prec);
}
if (!arb_contains(acb_realref(y), a))
{
flint_printf("FAIL: overlap\n\n");
flint_printf("x = "); acb_printd(x, 15); flint_printf("\n\n");
flint_printf("a = "); arb_printd(a, 15); flint_printf("\n\n");
flint_printf("y = "); acb_printd(y, 15); flint_printf("\n\n");
abort();
}
acb_clear(x);
acb_clear(y);
arb_clear(a);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("sqrt....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000; iter++)
{
arb_t a, b, c;
slong prec = 2 + n_randint(state, 200);
arb_init(a);
arb_init(b);
arb_init(c);
arb_randtest_special(a, state, 1 + n_randint(state, 200), 100);
arb_sqrt(b, a, prec);
arb_mul(c, b, b, prec);
if (!arb_contains(c, a))
{
flint_printf("FAIL: containment\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_printf("c = "); arb_print(c); flint_printf("\n\n");
abort();
}
arb_sqrt(a, a, prec);
if (!arb_equal(a, b))
{
flint_printf("FAIL: aliasing\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("get_interval_arf....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
{
arb_t x, y;
arf_t a, b;
arb_init(x);
arf_init(a);
arf_init(b);
arb_init(y);
arb_randtest_special(x, state, 200, 100);
arb_get_interval_arf(a, b, x, 2 + n_randint(state, 200));
arb_set_interval_arf(y, a, b, 2 + n_randint(state, 200));
if (!arb_contains(y, x))
{
flint_printf("FAIL:\n\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("a = "); arf_print(a); flint_printf("\n\n");
flint_printf("b = "); arf_print(b); flint_printf("\n\n");
flint_printf("y = "); arb_print(y); flint_printf("\n\n");
abort();
}
arb_clear(x);
arf_clear(a);
arf_clear(b);
arb_clear(y);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
long iter;
flint_rand_t state;
printf("union....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000; iter++)
{
arb_t x, y, z;
long prec;
int alias;
arb_init(x);
arb_init(y);
arb_init(z);
arb_randtest_special(x, state, 200, 10);
arb_randtest_special(y, state, 200, 10);
arb_randtest_special(z, state, 200, 10);
prec = 2 + n_randint(state, 200);
arb_union(z, x, y, prec);
if (!arb_contains(z, x) || !arb_contains(z, y))
{
printf("FAIL:\n\n");
printf("x = "); arb_print(x); printf("\n\n");
printf("y = "); arb_print(y); printf("\n\n");
printf("z = "); arb_print(z); printf("\n\n");
abort();
}
if (n_randint(state, 2))
{
arb_union(x, x, y, prec);
alias = arb_equal(x, z);
}
else
{
arb_union(y, x, y, prec);
alias = arb_equal(y, z);
}
if (!alias)
{
printf("FAIL (aliasing):\n\n");
printf("x = "); arb_print(x); printf("\n\n");
printf("y = "); arb_print(y); printf("\n\n");
printf("z = "); arb_print(z); printf("\n\n");
abort();
}
arb_clear(x);
arb_clear(y);
arb_clear(z);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("sin....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
{
arb_t a, b;
fmpq_t q;
mpfr_t t;
slong prec0, prec;
prec0 = 400;
if (iter % 100 == 0)
prec0 = 8000;
prec = 2 + n_randint(state, prec0);
arb_init(a);
arb_init(b);
fmpq_init(q);
mpfr_init2(t, prec0 + 100);
arb_randtest(a, state, 1 + n_randint(state, prec0), 6);
arb_randtest(b, state, 1 + n_randint(state, prec0), 6);
arb_get_rand_fmpq(q, state, a, 1 + n_randint(state, prec0));
fmpq_get_mpfr(t, q, MPFR_RNDN);
mpfr_sin(t, t, MPFR_RNDN);
arb_sin(b, a, prec);
if (!arb_contains_mpfr(b, t))
{
flint_printf("FAIL: containment\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
abort();
}
arb_sin(a, a, prec);
if (!arb_equal(a, b))
{
flint_printf("FAIL: aliasing\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
fmpq_clear(q);
mpfr_clear(t);
}
/* check large arguments */
for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
{
arb_t a, b, c, d;
slong prec0, prec1, prec2;
if (iter % 10 == 0)
prec0 = 10000;
else
prec0 = 1000;
prec1 = 2 + n_randint(state, prec0);
prec2 = 2 + n_randint(state, prec0);
arb_init(a);
arb_init(b);
arb_init(c);
arb_init(d);
arb_randtest_special(a, state, 1 + n_randint(state, prec0), prec0);
arb_randtest_special(b, state, 1 + n_randint(state, prec0), 100);
arb_randtest_special(c, state, 1 + n_randint(state, prec0), 100);
arb_randtest_special(d, state, 1 + n_randint(state, prec0), 100);
arb_sin(b, a, prec1);
arb_sin(c, a, prec2);
if (!arb_overlaps(b, c))
{
flint_printf("FAIL: overlap\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_printf("c = "); arb_print(c); flint_printf("\n\n");
abort();
}
/* check sin(2a) = 2sin(a)cos(a) */
arb_mul_2exp_si(c, a, 1);
arb_sin(c, c, prec1);
arb_cos(d, a, prec1);
arb_mul(b, b, d, prec1);
arb_mul_2exp_si(b, b, 1);
if (!arb_overlaps(b, c))
{
flint_printf("FAIL: functional equation\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_printf("c = "); arb_print(c); flint_printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
arb_clear(d);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("atanh....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_t x, a, b;
slong prec1, prec2;
prec1 = 2 + n_randint(state, 1000);
prec2 = prec1 + 30;
arb_init(x);
arb_init(a);
arb_init(b);
arb_randtest_special(x, state, 1 + n_randint(state, 1000), 2 + n_randint(state, 100));
arb_randtest_special(a, state, 1 + n_randint(state, 1000), 2 + n_randint(state, 100));
arb_randtest_special(b, state, 1 + n_randint(state, 1000), 2 + n_randint(state, 100));
arb_atanh(a, x, prec1);
arb_atanh(b, x, prec2);
/* check consistency */
if (!arb_overlaps(a, b))
{
flint_printf("FAIL: overlap\n\n");
flint_printf("x = "); arb_printd(x, 15); flint_printf("\n\n");
flint_printf("a = "); arb_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); arb_printd(b, 15); flint_printf("\n\n");
abort();
}
/* check tanh(atanh(x)) = x */
arb_tanh(b, b, prec1);
if (!arb_contains(b, x))
{
flint_printf("FAIL: functional equation\n\n");
flint_printf("x = "); arb_printd(x, 15); flint_printf("\n\n");
flint_printf("b = "); arb_printd(b, 15); flint_printf("\n\n");
abort();
}
arb_atanh(x, x, prec1);
if (!arb_overlaps(a, x))
{
flint_printf("FAIL: aliasing\n\n");
flint_printf("a = "); arb_printd(a, 15); flint_printf("\n\n");
flint_printf("x = "); arb_printd(x, 15); flint_printf("\n\n");
abort();
}
arb_clear(x);
arb_clear(a);
arb_clear(b);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter, iter2;
flint_rand_t state;
flint_printf("mul....");
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_mul(c, a, b, 2 + n_randint(state, 200));
fmpq_mul(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));
arb_mul(a, a, b, 2 + n_randint(state, 200));
fmpq_mul(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));
arb_mul(b, a, b, 2 + n_randint(state, 200));
fmpq_mul(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);
prec = 2 + n_randint(state, 2000);
switch (n_randint(state, 5))
{
case 0:
arb_mul(z, x, y, prec);
arb_mul_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_mul(z, x, y, prec);
arb_mul(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_mul(v, x, x, prec);
arb_mul(x, x, x, prec);
if (!arb_equal(v, x))
{
flint_printf("FAIL (aliasing 2)!\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 3:
arb_mul(v, x, y, prec);
arb_mul(x, x, y, prec);
if (!arb_equal(v, x))
{
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_mul(v, x, y, prec);
arb_mul(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;
}
int main()
{
long iter;
flint_rand_t state;
printf("atan_arf....");
fflush(stdout);
flint_randinit(state);
/* self-consistency test */
for (iter = 0; iter < 5000; iter++)
{
arf_t x;
arb_t y1, y2;
long prec1, prec2, acc1, acc2;
prec1 = 2 + n_randint(state, 9000);
prec2 = 2 + n_randint(state, 9000);
arf_init(x);
arb_init(y1);
arb_init(y2);
arf_randtest_special(x, state, 1 + n_randint(state, 9000), 200);
arb_randtest_special(y1, state, 1 + n_randint(state, 9000), 200);
arb_randtest_special(y2, state, 1 + n_randint(state, 9000), 200);
if (n_randint(state, 2))
arf_add_ui(x, x, 1, 2 + n_randint(state, 9000), ARF_RND_DOWN);
arb_atan_arf(y1, x, prec1);
arb_atan_arf(y2, x, prec2);
if (!arb_overlaps(y1, y2))
{
printf("FAIL: overlap\n\n");
printf("prec1 = %ld, prec2 = %ld\n\n", prec1, prec2);
printf("x = "); arf_print(x); printf("\n\n");
printf("y1 = "); arb_print(y1); printf("\n\n");
printf("y2 = "); arb_print(y2); printf("\n\n");
abort();
}
acc1 = arb_rel_accuracy_bits(y1);
acc2 = arb_rel_accuracy_bits(y2);
if (!arf_is_nan(x))
{
if (acc1 < prec1 - 2 || acc2 < prec2 - 2)
{
printf("FAIL: accuracy\n\n");
printf("prec1 = %ld, prec2 = %ld\n\n", prec1, prec2);
printf("acc1 = %ld, acc2 = %ld\n\n", acc1, acc2);
printf("x = "); arf_printd(x, 50); printf("\n\n");
printf("y1 = "); arb_printd(y1, 50); printf("\n\n");
printf("y2 = "); arb_printd(y2, 50); printf("\n\n");
abort();
}
}
arf_clear(x);
arb_clear(y1);
arb_clear(y2);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
long iter;
flint_rand_t state;
printf("add_error....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000; iter++)
{
arb_t a, b, c;
arf_t m, r;
arb_init(a);
arb_init(b);
arb_init(c);
arf_init(m);
arf_init(r);
arb_randtest_special(a, state, 1 + n_randint(state, 2000), 10);
arb_randtest_special(b, state, 1 + n_randint(state, 2000), 10);
arb_randtest_special(c, state, 1 + n_randint(state, 2000), 10);
arf_randtest_special(m, state, 1 + n_randint(state, 2000), 10);
arf_randtest_special(r, state, 1 + n_randint(state, 2000), 10);
/* c = a plus error bounds */
arb_set(c, a);
arf_set(arb_midref(b), m);
arf_get_mag(arb_radref(b), r);
arb_add_error(c, b);
/* b = a + random point */
arb_set(b, a);
if (n_randint(state, 2))
arf_add(arb_midref(b), arb_midref(b), m, ARF_PREC_EXACT, ARF_RND_DOWN);
else
arf_sub(arb_midref(b), arb_midref(b), m, ARF_PREC_EXACT, ARF_RND_DOWN);
if (n_randint(state, 2))
arf_add(arb_midref(b), arb_midref(b), r, ARF_PREC_EXACT, ARF_RND_DOWN);
else
arf_sub(arb_midref(b), arb_midref(b), r, ARF_PREC_EXACT, ARF_RND_DOWN);
/* should this be done differently? */
if (arf_is_nan(arb_midref(b)))
arf_zero(arb_midref(b));
if (!arb_contains(c, b))
{
printf("FAIL (arb_add_error)\n\n");
printf("a = "); arb_printn(a, 50, 0); printf("\n\n");
printf("b = "); arb_printn(b, 50, 0); printf("\n\n");
printf("c = "); arb_printn(c, 50, 0); printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
arf_clear(m);
arf_clear(r);
}
for (iter = 0; iter < 10000; iter++)
{
arb_t a, b, c;
arf_t m;
arb_init(a);
arb_init(b);
arb_init(c);
arf_init(m);
arb_randtest_special(a, state, 1 + n_randint(state, 2000), 10);
arb_randtest_special(b, state, 1 + n_randint(state, 2000), 10);
arb_randtest_special(c, state, 1 + n_randint(state, 2000), 10);
arf_randtest_special(m, state, 1 + n_randint(state, 2000), 10);
/* c = a plus error bounds */
arb_set(c, a);
arb_add_error_arf(c, m);
/* b = a + random point */
arb_set(b, a);
if (n_randint(state, 2))
arf_add(arb_midref(b), arb_midref(b), m, ARF_PREC_EXACT, ARF_RND_DOWN);
else
arf_sub(arb_midref(b), arb_midref(b), m, ARF_PREC_EXACT, ARF_RND_DOWN);
/* should this be done differently? */
if (arf_is_nan(arb_midref(b)))
arf_zero(arb_midref(b));
if (!arb_contains(c, b))
{
printf("FAIL (arb_add_error_arf)\n\n");
printf("a = "); arb_printn(a, 50, 0); printf("\n\n");
printf("b = "); arb_printn(b, 50, 0); printf("\n\n");
printf("c = "); arb_printn(c, 50, 0); printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
arf_clear(m);
}
for (iter = 0; iter < 10000; iter++)
{
arb_t a, b, c;
arf_t t;
mag_t r;
arb_init(a);
arb_init(b);
arb_init(c);
mag_init(r);
arf_init(t);
arb_randtest_special(a, state, 1 + n_randint(state, 2000), 10);
arb_randtest_special(b, state, 1 + n_randint(state, 2000), 10);
mag_randtest(r, state, 10);
/* c = a plus error bounds */
arb_set(c, a);
arb_add_error_mag(c, r);
/* b = a + random point */
arb_set(b, a);
arf_set_mag(t, r);
if (n_randint(state, 2))
arf_add(arb_midref(b), arb_midref(b), t, ARF_PREC_EXACT, ARF_RND_DOWN);
else
arf_sub(arb_midref(b), arb_midref(b), t, ARF_PREC_EXACT, ARF_RND_DOWN);
/* should this be done differently? */
if (arf_is_nan(arb_midref(b)))
arf_zero(arb_midref(b));
if (!arb_contains(c, b))
{
printf("FAIL (arb_add_error_mag)\n\n");
printf("a = "); arb_printn(a, 50, 0); printf("\n\n");
printf("b = "); arb_printn(b, 50, 0); printf("\n\n");
printf("c = "); arb_printn(c, 50, 0); printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
mag_clear(r);
arf_clear(t);
}
for (iter = 0; iter < 10000; iter++)
{
arb_t a, b, c;
arf_t t;
long e;
arb_init(a);
arb_init(b);
arb_init(c);
arf_init(t);
arb_randtest_special(a, state, 1 + n_randint(state, 2000), 10);
arb_randtest_special(b, state, 1 + n_randint(state, 2000), 10);
e = n_randint(state, 10) - 10;
/* c = a plus error bounds */
arb_set(c, a);
arb_add_error_2exp_si(c, e);
/* b = a + random point */
arb_set(b, a);
arf_one(t);
arf_mul_2exp_si(t, t, e);
if (n_randint(state, 2))
arf_add(arb_midref(b), arb_midref(b), t, ARF_PREC_EXACT, ARF_RND_DOWN);
else
arf_sub(arb_midref(b), arb_midref(b), t, ARF_PREC_EXACT, ARF_RND_DOWN);
/* should this be done differently? */
if (arf_is_nan(arb_midref(b)))
arf_zero(arb_midref(b));
if (!arb_contains(c, b))
{
printf("FAIL (arb_add_error_2exp_si)\n\n");
printf("a = "); arb_printn(a, 50, 0); printf("\n\n");
printf("b = "); arb_printn(b, 50, 0); printf("\n\n");
printf("c = "); arb_printn(c, 50, 0); printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
arf_clear(t);
}
for (iter = 0; iter < 10000; iter++)
{
arb_t a, b, c;
arf_t t;
fmpz_t e;
arb_init(a);
arb_init(b);
arb_init(c);
arf_init(t);
fmpz_init(e);
arb_randtest_special(a, state, 1 + n_randint(state, 2000), 10);
arb_randtest_special(b, state, 1 + n_randint(state, 2000), 10);
fmpz_randtest(e, state, 10);
/* c = a plus error bounds */
arb_set(c, a);
arb_add_error_2exp_fmpz(c, e);
/* b = a + random point */
arb_set(b, a);
arf_one(t);
arf_mul_2exp_fmpz(t, t, e);
if (n_randint(state, 2))
arf_add(arb_midref(b), arb_midref(b), t, ARF_PREC_EXACT, ARF_RND_DOWN);
else
arf_sub(arb_midref(b), arb_midref(b), t, ARF_PREC_EXACT, ARF_RND_DOWN);
/* should this be done differently? */
if (arf_is_nan(arb_midref(b)))
arf_zero(arb_midref(b));
if (!arb_contains(c, b))
{
printf("FAIL (arb_add_error_2exp_fmpz)\n\n");
printf("a = "); arb_printn(a, 50, 0); printf("\n\n");
printf("b = "); arb_printn(b, 50, 0); printf("\n\n");
printf("c = "); arb_printn(c, 50, 0); printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
arf_clear(t);
fmpz_clear(e);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("div....");
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);
do {
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));
} while (fmpq_is_zero(y));
arb_div(c, a, b, 2 + n_randint(state, 200));
fmpq_div(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);
do {
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));
} while (fmpq_is_zero(y));
arb_div(a, a, b, 2 + n_randint(state, 200));
fmpq_div(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);
do {
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));
} while (fmpq_is_zero(y));
arb_div(b, a, b, 2 + n_randint(state, 200));
fmpq_div(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);
}
/* test special values */
for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
{
arb_t a, b, c, d;
arb_init(a);
arb_init(b);
arb_init(c);
arb_init(d);
arb_randtest_special(a, state, 1 + n_randint(state, 200), 1 + n_randint(state, 100));
arb_randtest_special(b, state, 1 + n_randint(state, 200), 1 + n_randint(state, 100));
arb_randtest_special(c, state, 1 + n_randint(state, 200), 1 + n_randint(state, 100));
arb_div(c, a, b, 2 + n_randint(state, 200));
arb_mul(d, c, b, 2 + n_randint(state, 200));
if (!arb_contains(d, a))
{
flint_printf("FAIL: containment\n\n");
flint_printf("a = "); arb_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); arb_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); arb_printd(c, 15); flint_printf("\n\n");
flint_printf("d = "); arb_printd(d, 15); flint_printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
arb_clear(d);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("get_abs_lbound_arf....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_t x;
arf_t b, b2, b3;
fmpq_t q;
arb_init(x);
arf_init(b);
arf_init(b2);
arf_init(b3);
fmpq_init(q);
arb_randtest(x, state, 1 + n_randint(state, 200), 10);
arb_get_abs_lbound_arf(b, x, 2 + n_randint(state, 200));
arb_get_rand_fmpq(q, state, x, 1 + n_randint(state, 200));
arf_mul_fmpz(b2, b, fmpq_denref(q), ARF_PREC_EXACT, ARF_RND_DOWN);
arf_set_fmpz(b3, fmpq_numref(q));
arf_abs(b3, b3);
if (arf_cmp(b2, b3) > 0)
{
flint_printf("FAIL (abs_lbound):\n\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("q = "); fmpq_print(q); flint_printf("\n\n");
flint_printf("b = "); arf_print(b); flint_printf("\n\n");
flint_printf("b2 = "); arf_print(b2); flint_printf("\n\n");
flint_printf("b3 = "); arf_print(b3); flint_printf("\n\n");
flint_abort();
}
arb_get_abs_ubound_arf(b, x, 2 + n_randint(state, 200));
arb_get_rand_fmpq(q, state, x, 1 + n_randint(state, 200));
arf_mul_fmpz(b2, b, fmpq_denref(q), ARF_PREC_EXACT, ARF_RND_DOWN);
arf_set_fmpz(b3, fmpq_numref(q));
arf_abs(b3, b3);
if (arf_cmp(b2, b3) < 0)
{
flint_printf("FAIL (abs_ubound):\n\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("q = "); fmpq_print(q); flint_printf("\n\n");
flint_printf("b = "); arf_print(b); flint_printf("\n\n");
flint_printf("b2 = "); arf_print(b2); flint_printf("\n\n");
flint_printf("b3 = "); arf_print(b3); flint_printf("\n\n");
flint_abort();
}
arb_randtest_special(x, state, 1 + n_randint(state, 200), 1 + n_randint(state, 10));
arb_get_abs_lbound_arf(b, x, 2 + n_randint(state, 200));
arb_get_abs_ubound_arf(b2, x, 2 + n_randint(state, 200));
if (arf_cmp(b, b2) > 0)
{
flint_printf("FAIL:\n\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("b = "); arf_print(b); flint_printf("\n\n");
flint_printf("b2 = "); arf_print(b2); flint_printf("\n\n");
flint_abort();
}
arb_clear(x);
fmpq_clear(q);
arf_clear(b);
arf_clear(b2);
arf_clear(b3);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
long iter;
flint_rand_t state;
printf("add_fmpz_2exp....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000; iter++)
{
arb_t a, b, c, d;
fmpz_t x, e;
long prec;
arb_init(a);
arb_init(b);
arb_init(c);
arb_init(d);
fmpz_init(x);
fmpz_init(e);
arb_randtest_special(a, state, 1 + n_randint(state, 2000), 100);
arb_randtest_special(b, state, 1 + n_randint(state, 2000), 100);
arb_randtest_special(c, state, 1 + n_randint(state, 2000), 100);
fmpz_randtest(x, state, 1 + n_randint(state, 2000));
fmpz_randtest(e, state, 1 + n_randint(state, 200));
prec = 2 + n_randint(state, 2000);
arb_set_fmpz_2exp(b, x, e);
arb_add_fmpz_2exp(c, a, x, e, prec);
arb_add(d, a, b, prec);
if (!arb_equal(c, d))
{
printf("FAIL\n\n");
printf("a = "); arb_print(a); printf("\n\n");
printf("b = "); arb_print(b); printf("\n\n");
printf("c = "); arb_print(c); printf("\n\n");
printf("d = "); arb_print(d); printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
arb_clear(d);
fmpz_clear(x);
fmpz_clear(e);
}
/* aliasing */
for (iter = 0; iter < 10000; iter++)
{
arb_t a, c;
fmpz_t x, e;
long prec;
arb_init(a);
arb_init(c);
fmpz_init(x);
fmpz_init(e);
arb_randtest_special(a, state, 1 + n_randint(state, 2000), 100);
arb_randtest_special(c, state, 1 + n_randint(state, 2000), 100);
fmpz_randtest(x, state, 1 + n_randint(state, 2000));
fmpz_randtest(e, state, 1 + n_randint(state, 200));
prec = 2 + n_randint(state, 2000);
arb_add_fmpz_2exp(c, a, x, e, prec);
arb_add_fmpz_2exp(a, a, x, e, prec);
if (!arb_equal(a, c))
{
printf("FAIL (aliasing)\n\n");
printf("a = "); arb_print(a); printf("\n\n");
printf("c = "); arb_print(c); printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(c);
fmpz_clear(x);
fmpz_clear(e);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("sqrt1pm1....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 20000; iter++)
{
arb_t a, b, c, d;
slong prec0, prec1, prec2;
if (iter % 10 == 0)
prec0 = 10000;
else
prec0 = 1000;
prec1 = 2 + n_randint(state, prec0);
prec2 = 2 + n_randint(state, prec0);
arb_init(a);
arb_init(b);
arb_init(c);
arb_init(d);
arb_randtest_special(a, state, 1 + n_randint(state, prec0), 100);
arb_randtest_special(b, state, 1 + n_randint(state, prec0), 100);
arb_randtest_special(c, state, 1 + n_randint(state, prec0), 100);
arb_sqrt1pm1(b, a, prec1);
arb_sqrt1pm1(c, a, prec2);
if (!arb_overlaps(b, c))
{
flint_printf("FAIL: overlap\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_printf("c = "); arb_print(c); flint_printf("\n\n");
abort();
}
/* compare with sqrt */
arb_add_ui(d, a, 1, prec2);
arb_sqrt(d, d, prec2);
arb_sub_ui(d, d, 1, prec2);
if (!arb_overlaps(c, d))
{
flint_printf("FAIL: comparison with log\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_printf("c = "); arb_print(c); flint_printf("\n\n");
flint_printf("d = "); arb_print(d); flint_printf("\n\n");
abort();
}
arb_sqrt1pm1(a, a, prec1);
if (!arb_overlaps(a, b))
{
flint_printf("FAIL: aliasing\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
arb_clear(d);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("sub_si....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000; iter++)
{
arb_t a, b, c, d;
slong x;
slong prec;
arb_init(a);
arb_init(b);
arb_init(c);
arb_init(d);
arb_randtest_special(a, state, 1 + n_randint(state, 2000), 100);
arb_randtest_special(b, state, 1 + n_randint(state, 2000), 100);
arb_randtest_special(c, state, 1 + n_randint(state, 2000), 100);
x = z_randtest(state);
prec = 2 + n_randint(state, 2000);
arb_set_si(b, x);
arb_sub_si(c, a, x, prec);
arb_sub(d, a, b, prec);
if (!arb_equal(c, d))
{
flint_printf("FAIL\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_printf("c = "); arb_print(c); flint_printf("\n\n");
flint_printf("d = "); arb_print(d); flint_printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
arb_clear(d);
}
/* aliasing */
for (iter = 0; iter < 10000; iter++)
{
arb_t a, b, c;
slong x;
slong prec;
arb_init(a);
arb_init(b);
arb_init(c);
arb_randtest_special(a, state, 1 + n_randint(state, 2000), 100);
arb_randtest_special(b, state, 1 + n_randint(state, 2000), 100);
arb_randtest_special(c, state, 1 + n_randint(state, 2000), 100);
x = z_randtest(state);
prec = 2 + n_randint(state, 2000);
arb_set_si(b, x);
arb_sub_si(c, a, x, prec);
arb_sub_si(a, a, x, prec);
if (!arb_equal(a, c))
{
flint_printf("FAIL (aliasing)\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_printf("c = "); arb_print(c); flint_printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
flint_rand_t state;
slong iter;
flint_printf("get_str....");
fflush(stdout);
flint_randinit(state);
/* just test no crashing... */
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_t x;
char * s;
slong n;
arb_init(x);
arb_randtest_special(x, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100));
n = 1 + n_randint(state, 300);
s = arb_get_str(x, n, (n_randint(state, 2) * ARB_STR_MORE)
| (n_randint(state, 2) * ARB_STR_NO_RADIUS)
| (ARB_STR_CONDENSE * n_randint(state, 50)));
flint_free(s);
arb_clear(x);
}
for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
{
arb_t x, y;
char * s;
slong n, prec;
int conversion_error;
arb_init(x);
arb_init(y);
arb_randtest_special(x, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100));
arb_randtest_special(y, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100));
n = 1 + n_randint(state, 300);
prec = 2 + n_randint(state, 1000);
s = arb_get_str(x, n, n_randint(state, 2) * ARB_STR_MORE);
conversion_error = arb_set_str(y, s, prec);
if (conversion_error || !arb_contains(y, x))
{
flint_printf("FAIL (roundtrip) iter = %wd\n", iter);
flint_printf("x = "); arb_printd(x, 50); flint_printf("\n\n");
flint_printf("s = %s", s); flint_printf("\n\n");
flint_printf("y = "); arb_printd(y, 50); flint_printf("\n\n");
abort();
}
flint_free(s);
arb_clear(x);
arb_clear(y);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("log_arf....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 5000 * arb_test_multiplier(); iter++)
{
arf_t x;
arb_t y1, y2;
slong prec1, prec2, acc1, acc2;
prec1 = 2 + n_randint(state, 9000);
prec2 = 2 + n_randint(state, 9000);
arf_init(x);
arb_init(y1);
arb_init(y2);
arf_randtest_special(x, state, 1 + n_randint(state, 9000), 200);
arb_randtest_special(y1, state, 1 + n_randint(state, 9000), 200);
arb_randtest_special(y2, state, 1 + n_randint(state, 9000), 200);
if (n_randint(state, 2))
arf_add_ui(x, x, 1, 2 + n_randint(state, 9000), ARF_RND_DOWN);
arb_log_arf(y1, x, prec1);
arb_log_arf(y2, x, prec2);
if (!arb_overlaps(y1, y2))
{
flint_printf("FAIL: overlap\n\n");
flint_printf("prec1 = %wd, prec2 = %wd\n\n", prec1, prec2);
flint_printf("x = "); arf_print(x); flint_printf("\n\n");
flint_printf("y1 = "); arb_print(y1); flint_printf("\n\n");
flint_printf("y2 = "); arb_print(y2); flint_printf("\n\n");
abort();
}
acc1 = arb_rel_accuracy_bits(y1);
acc2 = arb_rel_accuracy_bits(y2);
if (arf_sgn(x) > 0)
{
if (acc1 < prec1 - 2 || acc2 < prec2 - 2)
{
flint_printf("FAIL: accuracy\n\n");
flint_printf("prec1 = %wd, prec2 = %wd\n\n", prec1, prec2);
flint_printf("acc1 = %wd, acc2 = %wd\n\n", acc1, acc2);
flint_printf("x = "); arf_print(x); flint_printf("\n\n");
flint_printf("y1 = "); arb_print(y1); flint_printf("\n\n");
flint_printf("y2 = "); arb_print(y2); flint_printf("\n\n");
abort();
}
}
arf_clear(x);
arb_clear(y1);
arb_clear(y2);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("rel_accuracy_bits....");
fflush(stdout);
flint_randinit(state);
/* test aliasing of c and a */
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_t x;
acb_t z;
slong a1, a2;
arb_init(x);
acb_init(z);
arb_randtest_special(x, state, 1 + n_randint(state, 200), 1 + n_randint(state, 200));
acb_set_arb(z, x);
a1 = arb_rel_accuracy_bits(x);
a2 = acb_rel_accuracy_bits(z);
if (a1 != a2)
{
flint_printf("FAIL: acb != arb\n\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("z = "); acb_print(z); flint_printf("\n\n");
flint_printf("a1 = %wd, a2 = %wd\n\n", a1, a2);
abort();
}
acb_randtest_special(z, state, 1 + n_randint(state, 200), 1 + n_randint(state, 200));
a1 = acb_rel_accuracy_bits(z);
if (n_randint(state, 2))
arf_swap(arb_midref(acb_realref(z)), arb_midref(acb_imagref(z)));
if (n_randint(state, 2))
mag_swap(arb_radref(acb_realref(z)), arb_radref(acb_imagref(z)));
a2 = acb_rel_accuracy_bits(z);
if (a1 != a2)
{
flint_printf("FAIL: swapping\n\n");
flint_printf("z = "); acb_print(z); flint_printf("\n\n");
flint_printf("a1 = %wd, a2 = %wd\n\n", a1, a2);
abort();
}
acb_randtest_special(z, state, 1 + n_randint(state, 200), 1 + n_randint(state, 200));
if (arf_cmpabs(arb_midref(acb_realref(z)), arb_midref(acb_imagref(z))) >= 0)
arf_set(arb_midref(x), arb_midref(acb_realref(z)));
else
arf_set(arb_midref(x), arb_midref(acb_imagref(z)));
if (mag_cmp(arb_radref(acb_realref(z)), arb_radref(acb_imagref(z))) >= 0)
mag_set(arb_radref(x), arb_radref(acb_realref(z)));
else
mag_set(arb_radref(x), arb_radref(acb_imagref(z)));
a1 = acb_rel_accuracy_bits(z);
a2 = arb_rel_accuracy_bits(x);
if (a1 != a2)
{
flint_printf("FAIL: acb != arb (2)\n\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("z = "); acb_print(z); flint_printf("\n\n");
flint_printf("a1 = %wd, a2 = %wd\n\n", a1, a2);
abort();
}
arb_clear(x);
acb_clear(z);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("exp....");
fflush(stdout);
flint_randinit(state);
/* check large arguments + compare with exp_simple */
for (iter = 0; iter < 100000 *arb_test_multiplier(); iter++)
{
arb_t a, b, c, d;
slong prec0, prec1, prec2, acc1, acc2;
if (iter % 10 == 0)
prec0 = 10000;
else
prec0 = 1000;
prec1 = 2 + n_randint(state, prec0);
prec2 = 2 + n_randint(state, prec0);
arb_init(a);
arb_init(b);
arb_init(c);
arb_init(d);
arb_randtest_special(a, state, 1 + n_randint(state, prec0), 100);
arb_randtest_special(b, state, 1 + n_randint(state, prec0), 100);
arb_exp(b, a, prec1);
arb_exp(c, a, prec2);
arb_exp_simple(d, a, prec1);
if (!arb_overlaps(b, c) || !arb_overlaps(b, d) || !arb_overlaps(c, d))
{
flint_printf("FAIL: overlap\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_printf("c = "); arb_print(c); flint_printf("\n\n");
flint_printf("d = "); arb_print(d); flint_printf("\n\n");
flint_abort();
}
/* compare accuracy with exp_simple */
acc1 = arb_rel_accuracy_bits(b);
acc2 = arb_rel_accuracy_bits(d);
if (acc2 > 0 && acc1 < acc2 - 1)
{
flint_printf("FAIL: accuracy\n\n");
flint_printf("prec1 = %wd, acc1 = %wd, acc2 = %wd\n\n", prec1, acc1, acc2);
flint_printf("a = "); arb_printd(a, 50); flint_printf("\n\n");
flint_printf("b = "); arb_printd(b, 50); flint_printf("\n\n");
flint_printf("d = "); arb_printd(d, 50); flint_printf("\n\n");
flint_abort();
}
arb_randtest_special(b, state, 1 + n_randint(state, prec0), 100);
/* check exp(a)*exp(b) = exp(a+b) */
arb_exp(c, a, prec1);
arb_exp(d, b, prec1);
arb_mul(c, c, d, prec1);
arb_add(d, a, b, prec1);
arb_exp(d, d, prec1);
if (!arb_overlaps(c, d))
{
flint_printf("FAIL: functional equation\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_printf("c = "); arb_print(c); flint_printf("\n\n");
flint_printf("d = "); arb_print(d); flint_printf("\n\n");
flint_abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
arb_clear(d);
}
/* test union */
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_t a, b, c, d, e;
slong prec0, prec1, prec2, prec3, prec4;
if (iter % 10 == 0)
prec0 = 10000;
else
prec0 = 1000;
prec1 = 2 + n_randint(state, prec0);
prec2 = 2 + n_randint(state, prec0);
prec3 = 2 + n_randint(state, prec0);
prec4 = 2 + n_randint(state, prec0);
arb_init(a);
arb_init(b);
arb_init(c);
arb_init(d);
arb_init(e);
arb_randtest_special(a, state, 1 + n_randint(state, prec0), 200);
arb_randtest_special(b, state, 1 + n_randint(state, prec0), 200);
arb_randtest_special(c, state, 1 + n_randint(state, prec0), 200);
arb_randtest_special(d, state, 1 + n_randint(state, prec0), 200);
arb_randtest_special(e, state, 1 + n_randint(state, prec0), 200);
arb_exp(c, a, prec1);
arb_exp(d, b, prec2);
arb_union(e, a, b, prec3);
arb_exp(e, e, prec4);
if (!arb_overlaps(e, c) || !arb_overlaps(e, d))
{
flint_printf("FAIL: union\n\n");
flint_printf("a = "); arb_printn(a, 1000, 0); flint_printf("\n\n");
flint_printf("b = "); arb_printn(b, 1000, 0); flint_printf("\n\n");
flint_printf("c = "); arb_printn(c, 1000, 0); flint_printf("\n\n");
flint_printf("d = "); arb_printn(d, 1000, 0); flint_printf("\n\n");
flint_printf("e = "); arb_printn(e, 1000, 0); flint_printf("\n\n");
flint_abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
arb_clear(d);
arb_clear(e);
}
/* comparison with mpfr */
for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
{
arb_t a, b;
fmpq_t q;
mpfr_t t;
slong prec0, prec;
prec0 = 400;
if (iter % 100 == 0)
prec0 = 10000;
prec = 2 + n_randint(state, prec0);
arb_init(a);
arb_init(b);
fmpq_init(q);
mpfr_init2(t, prec + 100);
arb_randtest(a, state, 1 + n_randint(state, prec0), 4);
arb_randtest(b, state, 1 + n_randint(state, prec0), 4);
arb_get_rand_fmpq(q, state, a, 1 + n_randint(state, prec0));
fmpq_get_mpfr(t, q, MPFR_RNDN);
mpfr_exp(t, t, MPFR_RNDN);
arb_exp(b, a, prec);
if (!arb_contains_mpfr(b, t))
{
flint_printf("FAIL: containment\n\n");
flint_printf("iter = %wd, prec = %wd\n\n", iter, prec);
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_abort();
}
arb_exp(a, a, prec);
if (!arb_equal(a, b))
{
flint_printf("FAIL: aliasing\n\n");
flint_printf("iter = %wd, prec = %wd\n\n", iter, prec);
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_abort();
}
arb_clear(a);
arb_clear(b);
fmpq_clear(q);
mpfr_clear(t);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}