int main()
{
slong iter;
flint_rand_t state;
flint_printf("sinh....");
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 prec = 2 + n_randint(state, 200);
arb_init(a);
arb_init(b);
fmpq_init(q);
mpfr_init2(t, prec + 100);
arb_randtest(a, state, 1 + n_randint(state, 200), 3);
arb_randtest(b, state, 1 + n_randint(state, 200), 3);
arb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200));
fmpq_get_mpfr(t, q, MPFR_RNDN);
mpfr_sinh(t, t, MPFR_RNDN);
arb_sinh(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");
flint_abort();
}
arb_sinh(a, a, prec);
if (!arb_equal(a, b))
{
flint_printf("FAIL: aliasing\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;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("log....");
fflush(stdout);
flint_randinit(state);
/* compare with mpfr */
for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
{
arb_t a, b;
fmpq_t q;
mpfr_t t;
slong prec = 2 + n_randint(state, 200);
arb_init(a);
arb_init(b);
fmpq_init(q);
mpfr_init2(t, prec + 100);
do {
arb_randtest(a, state, 1 + n_randint(state, 200), 10);
} while (arb_contains_nonpositive(a));
arb_randtest(b, state, 1 + n_randint(state, 200), 10);
arb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200));
fmpq_get_mpfr(t, q, MPFR_RNDN);
/* todo: estimate cancellation precisely */
if (mpfr_cmp_d(t, 1 - 1e-10) > 0 && mpfr_cmp_d(t, 1 + 1e-10) < 0)
{
mpfr_set_prec(t, prec + 1000);
fmpq_get_mpfr(t, q, MPFR_RNDN);
}
mpfr_log(t, t, MPFR_RNDN);
arb_log(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_log(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);
}
/* compare with mpfr (higher precision) */
for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
{
arb_t a, b;
fmpq_t q;
mpfr_t t;
slong prec = 2 + n_randint(state, 6000);
arb_init(a);
arb_init(b);
fmpq_init(q);
mpfr_init2(t, prec + 100);
do {
arb_randtest(a, state, 1 + n_randint(state, 6000), 10);
} while (arb_contains_nonpositive(a));
arb_randtest(b, state, 1 + n_randint(state, 6000), 10);
arb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200));
fmpq_get_mpfr(t, q, MPFR_RNDN);
/* todo: estimate cancellation precisely */
if (mpfr_cmp_d(t, 1 - 1e-10) > 0 && mpfr_cmp_d(t, 1 + 1e-10) < 0)
{
mpfr_set_prec(t, prec + 10000);
fmpq_get_mpfr(t, q, MPFR_RNDN);
}
mpfr_log(t, t, MPFR_RNDN);
arb_log(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_log(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);
}
/* test large numbers */
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_t a, b, ab, lab, la, lb, lalb;
slong prec = 2 + n_randint(state, 6000);
arb_init(a);
arb_init(b);
arb_init(ab);
arb_init(lab);
arb_init(la);
arb_init(lb);
arb_init(lalb);
arb_randtest(a, state, 1 + n_randint(state, 400), 400);
arb_randtest(b, state, 1 + n_randint(state, 400), 400);
arb_log(la, a, prec);
arb_log(lb, b, prec);
arb_mul(ab, a, b, prec);
arb_log(lab, ab, prec);
arb_add(lalb, la, lb, prec);
if (!arb_overlaps(lab, lalb))
{
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("la = "); arb_print(la); flint_printf("\n\n");
flint_printf("lb = "); arb_print(lb); flint_printf("\n\n");
flint_printf("ab = "); arb_print(ab); flint_printf("\n\n");
flint_printf("lab = "); arb_print(lab); flint_printf("\n\n");
flint_printf("lalb = "); arb_print(lalb); flint_printf("\n\n");
abort();
}
arb_log(a, a, prec);
if (!arb_overlaps(a, la))
{
flint_printf("FAIL: aliasing\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(ab);
arb_clear(lab);
arb_clear(la);
arb_clear(lb);
arb_clear(lalb);
}
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()
{
slong iter;
flint_rand_t state;
flint_printf("rising_ui_rs....");
fflush(stdout);
flint_randinit(state);
/* compare with fmpq */
for (iter = 0; iter < 1000; iter++)
{
arb_t a, b;
fmpq_t x, y, z;
ulong n, step;
slong i;
arb_init(a);
arb_init(b);
fmpq_init(x);
fmpq_init(y);
fmpq_init(z);
arb_randtest(a, state, 1 + n_randint(state, 1000), 10);
arb_randtest(b, state, 1 + n_randint(state, 1000), 10);
n = n_randint(state, 80);
arb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 10));
step = n_randint(state, 20);
arb_rising_ui_rs(b, a, n, step, 2 + n_randint(state, 1000));
fmpq_one(y);
for (i = 0; i < n; i++)
{
fmpq_set_si(z, i, 1);
fmpq_add(z, x, z);
fmpq_mul(y, y, z);
}
if (!arb_contains_fmpq(b, y))
{
flint_printf("FAIL: containment\n\n");
flint_printf("n = %wu\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");
abort();
}
arb_clear(a);
arb_clear(b);
fmpq_clear(x);
fmpq_clear(y);
fmpq_clear(z);
}
/* aliasing of y and x */
for (iter = 0; iter < 500; iter++)
{
arb_t x, y;
ulong n, step;
slong prec;
arb_init(x);
arb_init(y);
arb_randtest(x, state, 1 + n_randint(state, 200), 10);
arb_randtest(y, state, 1 + n_randint(state, 200), 10);
n = n_randint(state, 100);
prec = 2 + n_randint(state, 1000);
step = n_randint(state, 20);
arb_rising_ui_rs(y, x, n, step, prec);
arb_rising_ui_rs(x, x, n, step, prec);
if (!arb_equal(x, y))
{
flint_printf("FAIL: aliasing\n\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("y = "); arb_print(y); flint_printf("\n\n");
flint_printf("n = %wu\n", n);
abort();
}
arb_clear(x);
arb_clear(y);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
long iter;
flint_rand_t state;
printf("asin....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000; iter++)
{
arb_t a, b;
fmpq_t q;
mpfr_t t;
long prec = 2 + n_randint(state, 200);
arb_init(a);
arb_init(b);
fmpq_init(q);
mpfr_init2(t, prec + 100);
arb_randtest(a, state, 1 + n_randint(state, 200), 3);
arb_randtest(b, state, 1 + n_randint(state, 200), 3);
arb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200));
fmpq_get_mpfr(t, q, MPFR_RNDN);
mpfr_asin(t, t, MPFR_RNDN);
arb_asin(b, a, prec);
if (!arb_contains_mpfr(b, t))
{
printf("FAIL: containment\n\n");
printf("a = "); arb_print(a); printf("\n\n");
printf("b = "); arb_print(b); printf("\n\n");
abort();
}
arb_asin(a, a, prec);
if (!arb_equal(a, b))
{
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 < 10000; iter++)
{
arb_t a, b, c;
long prec1, prec2;
prec1 = 2 + n_randint(state, 1000);
prec2 = prec1 + 30;
arb_init(a);
arb_init(b);
arb_init(c);
arb_randtest_precise(a, state, 1 + n_randint(state, 1000), 100);
arb_asin(b, a, prec1);
arb_asin(c, a, prec2);
if (!arb_overlaps(b, c))
{
printf("FAIL: overlap\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");
abort();
}
/* check sin(asin(x)) = x */
arb_sin(c, b, prec1);
if (!arb_contains(c, a))
{
printf("FAIL: functional equation\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");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
long iter;
flint_rand_t state;
printf("atan2....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000; iter++)
{
arb_t a, b, c;
fmpq_t q, r;
mpfr_t t, u;
long prec = 2 + n_randint(state, 200);
arb_init(a);
arb_init(b);
arb_init(c);
fmpq_init(q);
fmpq_init(r);
mpfr_init2(t, prec + 100);
mpfr_init2(u, prec + 100);
arb_randtest(a, state, 1 + n_randint(state, 200), 3);
arb_randtest(b, state, 1 + n_randint(state, 200), 3);
arb_randtest(c, state, 1 + n_randint(state, 200), 3);
arb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200));
arb_get_rand_fmpq(r, state, b, 1 + n_randint(state, 200));
fmpq_get_mpfr(t, q, MPFR_RNDN);
fmpq_get_mpfr(u, r, MPFR_RNDN);
mpfr_atan2(t, u, t, MPFR_RNDN);
arb_atan2(c, b, a, prec);
if (!arb_contains_mpfr(c, t))
{
printf("FAIL: containment\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");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
fmpq_clear(q);
fmpq_clear(r);
mpfr_clear(t);
mpfr_clear(u);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("sinh_cosh....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000; iter++)
{
arb_t a, b, c;
fmpq_t q;
mpfr_t t, u;
slong prec = 2 + n_randint(state, 200);
arb_init(a);
arb_init(b);
arb_init(c);
fmpq_init(q);
mpfr_init2(t, prec + 100);
mpfr_init2(u, prec + 100);
arb_randtest(a, state, 1 + n_randint(state, 200), 3);
arb_randtest(b, state, 1 + n_randint(state, 200), 3);
arb_randtest(c, state, 1 + n_randint(state, 200), 3);
arb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200));
fmpq_get_mpfr(t, q, MPFR_RNDN);
mpfr_sinh_cosh(t, u, t, MPFR_RNDN);
arb_sinh_cosh(b, c, a, prec);
if (!arb_contains_mpfr(b, t))
{
flint_printf("FAIL: containment (sin)\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
abort();
}
if (!arb_contains_mpfr(c, u))
{
flint_printf("FAIL: containment (cos)\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("c = "); arb_print(c); flint_printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
fmpq_clear(q);
mpfr_clear(t);
mpfr_clear(u);
}
flint_randclear(state);
flint_cleanup();
flint_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("mul_more....");
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);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("agm....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
{
arb_t a, b, c;
fmpq_t q, r;
mpfr_t t, u;
slong prec = 2 + n_randint(state, 200);
arb_init(a);
arb_init(b);
arb_init(c);
fmpq_init(q);
fmpq_init(r);
mpfr_init2(t, prec + 100);
mpfr_init2(u, prec + 100);
arb_randtest(a, state, 1 + n_randint(state, 200), 3);
arb_randtest(b, state, 1 + n_randint(state, 200), 3);
arb_randtest(c, state, 1 + n_randint(state, 200), 3);
arb_agm(c, a, b, prec);
if (arb_equal(a, b))
{
if (!arb_contains(c, a))
{
flint_printf("FAIL: containment (identity)\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();
}
}
else
{
arb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200));
arb_get_rand_fmpq(r, state, b, 1 + n_randint(state, 200));
fmpq_get_mpfr(t, q, MPFR_RNDN);
fmpq_get_mpfr(u, r, MPFR_RNDN);
mpfr_agm(t, t, u, MPFR_RNDN);
if (!arb_contains_mpfr(c, 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");
flint_printf("c = "); arb_print(c); flint_printf("\n\n");
abort();
}
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
fmpq_clear(q);
fmpq_clear(r);
mpfr_clear(t);
mpfr_clear(u);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("floor....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000; iter++)
{
arb_t a, b;
fmpq_t x;
fmpz_t y;
slong prec;
arb_init(a);
arb_init(b);
fmpq_init(x);
fmpz_init(y);
arb_randtest(a, state, 1 + n_randint(state, 200), 10);
arb_randtest(b, state, 1 + n_randint(state, 200), 10);
prec = 2 + n_randint(state, 200);
arb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200));
arb_floor(b, a, prec);
fmpz_fdiv_q(y, fmpq_numref(x), fmpq_denref(x));
if (!arb_contains_fmpz(b, y))
{
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 = "); fmpz_print(y); flint_printf("\n\n");
abort();
}
arb_floor(a, a, prec);
if (!arb_equal(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);
fmpq_clear(x);
fmpz_clear(y);
}
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("div....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000; 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))
{
printf("FAIL: containment\n\n");
printf("a = "); arb_print(a); printf("\n\n");
printf("x = "); fmpq_print(x); printf("\n\n");
printf("b = "); arb_print(b); printf("\n\n");
printf("y = "); fmpq_print(y); printf("\n\n");
printf("c = "); arb_print(c); printf("\n\n");
printf("z = "); fmpq_print(z); 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; 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))
{
printf("FAIL: aliasing (c, a)\n\n");
printf("a = "); arb_print(a); printf("\n\n");
printf("x = "); fmpq_print(x); printf("\n\n");
printf("b = "); arb_print(b); printf("\n\n");
printf("y = "); fmpq_print(y); printf("\n\n");
printf("z = "); fmpq_print(z); 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; 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))
{
printf("FAIL: aliasing (c, b)\n\n");
printf("a = "); arb_print(a); printf("\n\n");
printf("x = "); fmpq_print(x); printf("\n\n");
printf("b = "); arb_print(b); printf("\n\n");
printf("y = "); fmpq_print(y); printf("\n\n");
printf("z = "); fmpq_print(z); 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; 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))
{
printf("FAIL: containment\n\n");
printf("a = "); arb_printd(a, 15); printf("\n\n");
printf("b = "); arb_printd(b, 15); printf("\n\n");
printf("c = "); arb_printd(c, 15); printf("\n\n");
printf("d = "); arb_printd(d, 15); printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
arb_clear(d);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("atan....");
fflush(stdout);
flint_randinit(state);
/* Compare with MPFR */
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_t a, b;
fmpq_t q;
mpfr_t t;
slong prec = 2 + n_randint(state, 200);
arb_init(a);
arb_init(b);
fmpq_init(q);
mpfr_init2(t, prec + 100);
arb_randtest(a, state, 1 + n_randint(state, 200), 3);
arb_randtest(b, state, 1 + n_randint(state, 200), 3);
arb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200));
fmpq_get_mpfr(t, q, MPFR_RNDN);
mpfr_atan(t, t, MPFR_RNDN);
arb_atan(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");
flint_abort();
}
arb_atan(a, a, prec);
if (!arb_equal(a, b))
{
flint_printf("FAIL: aliasing\n\n");
flint_abort();
}
arb_clear(a);
arb_clear(b);
fmpq_clear(q);
mpfr_clear(t);
}
/* Check large arguments. */
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_t a, b, c, d;
slong prec1, prec2;
prec1 = 2 + n_randint(state, 1000);
prec2 = prec1 + 30;
arb_init(a);
arb_init(b);
arb_init(c);
arb_init(d);
arb_randtest_precise(a, state, 1 + n_randint(state, 1000), 100);
arb_atan(b, a, prec1);
arb_atan(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");
flint_abort();
}
/* check tan(atan(x)) = x */
arb_sin_cos(c, d, b, prec1);
arb_div(c, c, d, prec1);
if (!arb_contains(c, a))
{
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);
}
/* Compare with MPFR, higher precision. */
for (iter = 0; iter < 200 * arb_test_multiplier(); iter++)
{
arb_t a, b;
fmpq_t q;
mpfr_t t;
slong prec = 2 + n_randint(state, 5000);
arb_init(a);
arb_init(b);
fmpq_init(q);
mpfr_init2(t, prec + 100);
arb_randtest(a, state, 1 + n_randint(state, 5000), 8);
arb_randtest(b, state, 1 + n_randint(state, 5000), 8);
arb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200));
fmpq_get_mpfr(t, q, MPFR_RNDN);
mpfr_atan(t, t, MPFR_RNDN);
arb_atan(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("a = "); arb_printd(a, 50); flint_printf("\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("b = "); arb_printd(b, 50); flint_printf("\n\n");
flint_abort();
}
arb_atan(a, a, prec);
if (!arb_equal(a, b))
{
flint_printf("FAIL: aliasing\n\n");
flint_abort();
}
arb_clear(a);
arb_clear(b);
fmpq_clear(q);
mpfr_clear(t);
}
/* Higher precision + large arguments. */
for (iter = 0; iter < 2000 * arb_test_multiplier(); iter++)
{
arb_t a, b, c, d;
slong prec1, prec2;
prec1 = 2 + n_randint(state, 5000);
prec2 = prec1 + 30;
arb_init(a);
arb_init(b);
arb_init(c);
arb_init(d);
arb_randtest_precise(a, state, 1 + n_randint(state, 5000), 100);
arb_atan(b, a, prec1);
arb_atan(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");
flint_abort();
}
/* check tan(atan(x)) = x */
arb_sin_cos(c, d, b, prec1);
arb_div(c, c, d, prec1);
if (!arb_contains(c, a))
{
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);
}
/* Check wide arguments. */
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_precise(a, state, 1 + n_randint(state, 1000), 100);
arb_randtest_precise(b, state, 1 + n_randint(state, 1000), 100);
if (n_randint(state, 2))
arb_add(a, a, b, 2 + n_randint(state, 1000));
arb_union(d, a, b, 2 + n_randint(state, 1000));
arb_atan(a, a, 2 + n_randint(state, 2000));
arb_atan(b, b, 2 + n_randint(state, 2000));
arb_atan(c, d, 2 + n_randint(state, 2000));
if (!arb_overlaps(c, a) || !arb_overlaps(c, b))
{
flint_printf("FAIL: overlap\n\n");
flint_printf("d = "); arb_print(d); flint_printf("\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_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("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;
}
