int main()
{
long iter;
flint_rand_t state;
printf("root....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000; iter++)
{
fmprb_t a, b, c;
ulong k;
long prec;
prec = 2 + n_randint(state, 200);
k = 1 + n_randint(state, 10);
fmprb_init(a);
fmprb_init(b);
fmprb_init(c);
fmprb_randtest(a, state, 1 + n_randint(state, 200), 10);
fmprb_root(b, a, k, prec);
fmprb_pow_ui(c, b, k, prec);
if (!fmprb_contains(c, a))
{
printf("FAIL: containment\n\n");
printf("k = %lu\n", k);
printf("a = "); fmprb_print(a); printf("\n\n");
printf("b = "); fmprb_print(b); printf("\n\n");
printf("c = "); fmprb_print(c); printf("\n\n");
abort();
}
fmprb_root(a, a, k, prec);
if (!fmprb_equal(a, b))
{
printf("FAIL: aliasing\n\n");
abort();
}
fmprb_clear(a);
fmprb_clear(b);
fmprb_clear(c);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("rsqrt....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000; iter++)
{
fmprb_t a, b, c;
slong prec = 2 + n_randint(state, 200);
fmprb_init(a);
fmprb_init(b);
fmprb_init(c);
fmprb_randtest(a, state, 1 + n_randint(state, 200), 10);
fmprb_rsqrt(b, a, prec);
fmprb_inv(c, b, prec);
fmprb_mul(c, c, c, prec);
if (!fmprb_contains(c, a))
{
flint_printf("FAIL: containment\n\n");
flint_printf("a = "); fmprb_print(a); flint_printf("\n\n");
flint_printf("b = "); fmprb_print(b); flint_printf("\n\n");
flint_printf("c = "); fmprb_print(c); flint_printf("\n\n");
abort();
}
fmprb_rsqrt(a, a, prec);
if (!fmprb_equal(a, b))
{
flint_printf("FAIL: aliasing\n\n");
abort();
}
fmprb_clear(a);
fmprb_clear(b);
fmprb_clear(c);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int
fmprb_mat_equal(const fmprb_mat_t mat1, const fmprb_mat_t mat2)
{
long i, j;
if ((fmprb_mat_nrows(mat1) != fmprb_mat_nrows(mat2)) ||
(fmprb_mat_ncols(mat1) != fmprb_mat_ncols(mat2)))
return 0;
for (i = 0; i < fmprb_mat_nrows(mat1); i++)
for (j = 0; j < fmprb_mat_ncols(mat1); j++)
if (!fmprb_equal(fmprb_mat_entry(mat1, i, j),
fmprb_mat_entry(mat2, i, j)))
return 0;
return 1;
}
int main()
{
long iter;
flint_rand_t state;
printf("exp....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000; iter++)
{
fmprb_t a, b;
fmpq_t q;
mpfr_t t;
long prec = 2 + n_randint(state, 200);
fmprb_init(a);
fmprb_init(b);
fmpq_init(q);
mpfr_init2(t, prec + 100);
fmprb_randtest(a, state, 1 + n_randint(state, 200), 3);
fmprb_randtest(b, state, 1 + n_randint(state, 200), 3);
fmprb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200));
fmpq_get_mpfr(t, q, MPFR_RNDN);
mpfr_exp(t, t, MPFR_RNDN);
fmprb_exp(b, a, prec);
if (!fmprb_contains_mpfr(b, t))
{
printf("FAIL: containment\n\n");
printf("a = "); fmprb_print(a); printf("\n\n");
printf("b = "); fmprb_print(b); printf("\n\n");
abort();
}
fmprb_exp(a, a, prec);
if (!fmprb_equal(a, b))
{
printf("FAIL: aliasing\n\n");
abort();
}
fmprb_clear(a);
fmprb_clear(b);
fmpq_clear(q);
mpfr_clear(t);
}
/* check large arguments */
for (iter = 0; iter < 100000; iter++)
{
fmprb_t a, b, c, d;
long prec1, prec2;
prec1 = 2 + n_randint(state, 1000);
prec2 = prec1 + 30;
fmprb_init(a);
fmprb_init(b);
fmprb_init(c);
fmprb_init(d);
fmprb_randtest_precise(a, state, 1 + n_randint(state, 1000), 100);
fmprb_exp(b, a, prec1);
fmprb_exp(c, a, prec2);
if (!fmprb_overlaps(b, c))
{
printf("FAIL: overlap\n\n");
printf("a = "); fmprb_print(a); printf("\n\n");
printf("b = "); fmprb_print(b); printf("\n\n");
printf("c = "); fmprb_print(c); printf("\n\n");
abort();
}
fmprb_randtest_precise(b, state, 1 + n_randint(state, 1000), 100);
/* check exp(a)*exp(b) = exp(a+b) */
fmprb_exp(c, a, prec1);
fmprb_exp(d, b, prec1);
fmprb_mul(c, c, d, prec1);
fmprb_add(d, a, b, prec1);
fmprb_exp(d, d, prec1);
if (!fmprb_overlaps(c, d))
{
printf("FAIL: functional equation\n\n");
printf("a = "); fmprb_print(a); printf("\n\n");
printf("b = "); fmprb_print(b); printf("\n\n");
printf("c = "); fmprb_print(c); printf("\n\n");
printf("d = "); fmprb_print(d); printf("\n\n");
abort();
}
fmprb_clear(a);
fmprb_clear(b);
fmprb_clear(c);
fmprb_clear(d);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
long iter;
flint_rand_t state;
printf("rising_fmprb_ui_bsplit_simple....");
fflush(stdout);
flint_randinit(state);
/* compare with fmpq */
for (iter = 0; iter < 1000; iter++)
{
fmprb_t a, b;
fmpq_t x, y, z;
ulong n;
long i;
fmprb_init(a);
fmprb_init(b);
fmpq_init(x);
fmpq_init(y);
fmpq_init(z);
fmprb_randtest(a, state, 1 + n_randint(state, 1000), 10);
fmprb_randtest(b, state, 1 + n_randint(state, 1000), 10);
n = n_randint(state, 40);
fmprb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 1000));
gamma_rising_fmprb_ui_bsplit_simple(b, a, n, 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 (!fmprb_contains_fmpq(b, y))
{
printf("FAIL: containment\n\n");
printf("n = %lu\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");
abort();
}
fmprb_clear(a);
fmprb_clear(b);
fmpq_clear(x);
fmpq_clear(y);
fmpq_clear(z);
}
/* aliasing of y and x */
for (iter = 0; iter < 1000; iter++)
{
fmprb_t x, y;
ulong n;
long prec;
fmprb_init(x);
fmprb_init(y);
fmprb_randtest(x, state, 1 + n_randint(state, 200), 10);
fmprb_randtest(y, state, 1 + n_randint(state, 200), 10);
n = n_randint(state, 100);
prec = 2 + n_randint(state, 200);
gamma_rising_fmprb_ui_bsplit_simple(y, x, n, prec);
gamma_rising_fmprb_ui_bsplit_simple(x, x, n, prec);
if (!fmprb_equal(x, y))
{
printf("FAIL: aliasing\n\n");
printf("x = "); fmprb_print(x); printf("\n\n");
printf("y = "); fmprb_print(y); printf("\n\n");
printf("n = %lu\n", n);
abort();
}
fmprb_clear(x);
fmprb_clear(y);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("union....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000; iter++)
{
fmprb_t x, y, z;
slong prec;
int alias;
fmprb_init(x);
fmprb_init(y);
fmprb_init(z);
fmprb_randtest_special(x, state, 200, 10);
fmprb_randtest_special(y, state, 200, 10);
fmprb_randtest_special(z, state, 200, 10);
prec = 2 + n_randint(state, 200);
fmprb_union(z, x, y, prec);
if (!fmprb_contains(z, x) || !fmprb_contains(z, y))
{
flint_printf("FAIL:\n\n");
flint_printf("x = "); fmprb_print(x); flint_printf("\n\n");
flint_printf("y = "); fmprb_print(y); flint_printf("\n\n");
flint_printf("z = "); fmprb_print(z); flint_printf("\n\n");
abort();
}
if (n_randint(state, 2))
{
fmprb_union(x, x, y, prec);
alias = fmprb_equal(x, z);
}
else
{
fmprb_union(y, x, y, prec);
alias = fmprb_equal(y, z);
}
if (!alias)
{
flint_printf("FAIL (aliasing):\n\n");
flint_printf("x = "); fmprb_print(x); flint_printf("\n\n");
flint_printf("y = "); fmprb_print(y); flint_printf("\n\n");
flint_printf("z = "); fmprb_print(z); flint_printf("\n\n");
abort();
}
fmprb_clear(x);
fmprb_clear(y);
fmprb_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; iter++)
{
fmprb_t a, b, c;
fmpq_t q, r;
mpfr_t t, u;
slong prec = 2 + n_randint(state, 200);
fmprb_init(a);
fmprb_init(b);
fmprb_init(c);
fmpq_init(q);
fmpq_init(r);
mpfr_init2(t, prec + 100);
mpfr_init2(u, prec + 100);
fmprb_randtest(a, state, 1 + n_randint(state, 200), 3);
fmprb_randtest(b, state, 1 + n_randint(state, 200), 3);
fmprb_randtest(c, state, 1 + n_randint(state, 200), 3);
fmprb_agm(c, a, b, prec);
if (fmprb_equal(a, b))
{
if (!fmprb_contains(c, a))
{
flint_printf("FAIL: containment (identity)\n\n");
flint_printf("a = "); fmprb_print(a); flint_printf("\n\n");
flint_printf("b = "); fmprb_print(b); flint_printf("\n\n");
flint_printf("c = "); fmprb_print(c); flint_printf("\n\n");
abort();
}
}
else
{
fmprb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200));
fmprb_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 (!fmprb_contains_mpfr(c, t))
{
flint_printf("FAIL: containment\n\n");
flint_printf("a = "); fmprb_print(a); flint_printf("\n\n");
flint_printf("b = "); fmprb_print(b); flint_printf("\n\n");
flint_printf("c = "); fmprb_print(c); flint_printf("\n\n");
abort();
}
}
fmprb_clear(a);
fmprb_clear(b);
fmprb_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()
{
long iter;
flint_rand_t state;
printf("cosh....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000; iter++)
{
fmprb_t a, b;
fmpq_t q;
mpfr_t t;
long prec = 2 + n_randint(state, 200);
fmprb_init(a);
fmprb_init(b);
fmpq_init(q);
mpfr_init2(t, prec + 100);
fmprb_randtest(a, state, 1 + n_randint(state, 200), 3);
fmprb_randtest(b, state, 1 + n_randint(state, 200), 3);
fmprb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200));
fmpq_get_mpfr(t, q, MPFR_RNDN);
mpfr_cosh(t, t, MPFR_RNDN);
fmprb_cosh(b, a, prec);
if (!fmprb_contains_mpfr(b, t))
{
printf("FAIL: containment\n\n");
printf("a = ");
fmprb_print(a);
printf("\n\n");
printf("b = ");
fmprb_print(b);
printf("\n\n");
abort();
}
fmprb_cosh(a, a, prec);
if (!fmprb_equal(a, b))
{
printf("FAIL: aliasing\n\n");
abort();
}
fmprb_clear(a);
fmprb_clear(b);
fmpq_clear(q);
mpfr_clear(t);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
