int main()
{
slong iter;
flint_rand_t state;
flint_printf("add_series....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
{
arb_poly_t a, b, c, d;
slong len, prec;
arb_poly_init(a);
arb_poly_init(b);
arb_poly_init(c);
arb_poly_init(d);
arb_poly_randtest(a, state, 1 + n_randint(state, 10), 100, 10);
arb_poly_randtest(b, state, 1 + n_randint(state, 10), 100, 10);
arb_poly_randtest(c, state, 1 + n_randint(state, 10), 100, 10);
arb_poly_randtest(d, state, 1 + n_randint(state, 10), 100, 10);
prec = 2 + n_randint(state, 100);
len = n_randint(state, 10);
arb_poly_add_series(c, a, b, len, prec);
arb_poly_add(d, a, b, prec);
arb_poly_truncate(d, len);
if (!arb_poly_equal(c, d))
{
flint_printf("FAIL\n\n");
flint_printf("a = "); arb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); arb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); arb_poly_printd(c, 15); flint_printf("\n\n");
flint_printf("c = "); arb_poly_printd(c, 15); flint_printf("\n\n");
abort();
}
arb_poly_set(d, a);
arb_poly_add_series(d, d, b, len, prec);
if (!arb_poly_equal(d, c))
{
flint_printf("FAIL (aliasing 1)\n\n");
abort();
}
arb_poly_set(d, b);
arb_poly_add_series(d, a, d, len, prec);
if (!arb_poly_equal(d, c))
{
flint_printf("FAIL (aliasing 2)\n\n");
abort();
}
arb_poly_clear(a);
arb_poly_clear(b);
arb_poly_clear(c);
arb_poly_clear(d);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
long iter;
flint_rand_t state;
printf("zeta_series....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 500; iter++)
{
long m, n1, n2, bits1, bits2, bits3;
int deflate;
arb_poly_t S, A, B, C, D, E, F;
arb_t a, a1;
bits1 = 2 + n_randint(state, 300);
bits2 = 2 + n_randint(state, 300);
bits3 = 2 + n_randint(state, 300);
m = 1 + n_randint(state, 30);
n1 = 1 + n_randint(state, 30);
n2 = 1 + n_randint(state, 30);
arb_poly_init(S);
arb_poly_init(A);
arb_poly_init(B);
arb_poly_init(C);
arb_poly_init(D);
arb_poly_init(E);
arb_poly_init(F);
arb_init(a);
arb_init(a1);
deflate = n_randint(state, 2);
arb_poly_randtest(S, state, m, bits1, 3);
arb_randtest_precise(a, state, bits1, 3);
arb_poly_set_coeff_arb(S, 0, a);
if (n_randint(state, 2))
arb_randtest(a, state, bits1, 3);
else
arb_one(a);
arb_poly_zeta_series(A, S, a, deflate, n1, bits2);
arb_poly_zeta_series(B, S, a, deflate, n2, bits3);
arb_poly_set(C, A);
arb_poly_truncate(C, FLINT_MIN(n1, n2));
arb_poly_truncate(B, FLINT_MIN(n1, n2));
if (!arb_poly_overlaps(B, C))
{
printf("FAIL\n\n");
printf("S = "); arb_poly_printd(S, 15); printf("\n\n");
printf("a = "); arb_printd(a, 15); printf("\n\n");
printf("A = "); arb_poly_printd(A, 15); printf("\n\n");
printf("B = "); arb_poly_printd(B, 15); printf("\n\n");
abort();
}
/* check zeta(s,a) = zeta(s,a+1) + a^(-s) */
arb_poly_set_arb(D, a);
arb_poly_log_series(D, D, n1, bits2);
arb_poly_mullow(D, D, S, n1, bits2);
arb_poly_neg(D, D);
arb_poly_exp_series(D, D, n1, bits2);
arb_add_ui(a1, a, 1, bits2);
arb_poly_zeta_series(E, S, a1, deflate, n1, bits2);
arb_poly_add(E, E, D, bits2);
if (!arb_poly_overlaps(A, E))
{
printf("FAIL (functional equation)\n\n");
printf("S = "); arb_poly_printd(S, 15); printf("\n\n");
printf("a = "); arb_printd(a, 15); printf("\n\n");
printf("A = "); arb_poly_printd(A, 15); printf("\n\n");
printf("E = "); arb_poly_printd(A, 15); printf("\n\n");
abort();
}
arb_poly_zeta_series(S, S, a, deflate, n1, bits2);
if (!arb_poly_overlaps(A, S))
{
printf("FAIL (aliasing)\n\n");
abort();
}
arb_poly_clear(S);
arb_poly_clear(A);
arb_poly_clear(B);
arb_poly_clear(C);
arb_poly_clear(D);
arb_poly_clear(E);
arb_poly_clear(F);
arb_clear(a);
arb_clear(a1);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("sin_cos_pi_series....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
{
slong m, n, qbits, rbits1, rbits2;
fmpq_poly_t A, B;
arb_poly_t a, b, c, d, e;
qbits = 2 + n_randint(state, 200);
rbits1 = 2 + n_randint(state, 200);
rbits2 = 2 + n_randint(state, 200);
m = 1 + n_randint(state, 30);
n = 1 + n_randint(state, 30);
fmpq_poly_init(A);
fmpq_poly_init(B);
arb_poly_init(a);
arb_poly_init(b);
arb_poly_init(c);
arb_poly_init(d);
arb_poly_init(e);
fmpq_poly_randtest(A, state, m, qbits);
arb_poly_set_fmpq_poly(a, A, rbits1);
arb_poly_sin_cos_pi_series(b, c, a, n, rbits2);
/* Check sin(x)^2 + cos(x)^2 = 1 */
arb_poly_mullow(d, b, b, n, rbits2);
arb_poly_mullow(e, c, c, n, rbits2);
arb_poly_add(d, d, e, rbits2);
fmpq_poly_one(B);
if (!arb_poly_contains_fmpq_poly(d, B))
{
flint_printf("FAIL\n\n");
flint_printf("bits2 = %wd\n", rbits2);
flint_printf("A = "); fmpq_poly_print(A); flint_printf("\n\n");
flint_printf("a = "); arb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); arb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); arb_poly_printd(c, 15); flint_printf("\n\n");
flint_printf("d = "); arb_poly_printd(d, 15); flint_printf("\n\n");
abort();
}
arb_poly_set(d, a);
arb_poly_sin_cos_pi_series(d, c, d, n, rbits2);
if (!arb_poly_equal(b, d))
{
flint_printf("FAIL (aliasing 1)\n\n");
abort();
}
arb_poly_set(d, a);
arb_poly_sin_cos_pi_series(b, d, d, n, rbits2);
if (!arb_poly_equal(c, d))
{
flint_printf("FAIL (aliasing 2)\n\n");
abort();
}
fmpq_poly_clear(A);
fmpq_poly_clear(B);
arb_poly_clear(a);
arb_poly_clear(b);
arb_poly_clear(c);
arb_poly_clear(d);
arb_poly_clear(e);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("digamma_series....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000; iter++)
{
slong m, n1, n2, rbits1, rbits2, rbits3;
arb_poly_t a, b, c, d;
rbits1 = 2 + n_randint(state, 300);
rbits2 = 2 + n_randint(state, 300);
rbits3 = 2 + n_randint(state, 300);
m = n_randint(state, 25);
n1 = n_randint(state, 25);
n2 = n_randint(state, 25);
arb_poly_init(a);
arb_poly_init(b);
arb_poly_init(c);
arb_poly_init(d);
arb_poly_randtest(a, state, m, rbits1, 10);
arb_poly_digamma_series(b, a, n1, rbits2);
arb_poly_digamma_series(c, a, n2, rbits3);
arb_poly_set(d, b);
arb_poly_truncate(d, FLINT_MIN(n1, n2));
arb_poly_truncate(c, FLINT_MIN(n1, n2));
if (!arb_poly_overlaps(c, d))
{
flint_printf("FAIL\n\n");
flint_printf("n1 = %wd, n2 = %wd, bits2 = %wd, bits3 = %wd\n", n1, n2, rbits2, rbits3);
flint_printf("a = "); arb_poly_printd(a, 50); flint_printf("\n\n");
flint_printf("b = "); arb_poly_printd(b, 50); flint_printf("\n\n");
flint_printf("c = "); arb_poly_printd(c, 50); flint_printf("\n\n");
abort();
}
/* check psi(a) + 1/a = psi(a+1) */
arb_poly_inv_series(c, a, n1, rbits2);
arb_poly_add(c, b, c, rbits2);
arb_poly_add_si(d, a, 1, rbits2);
arb_poly_digamma_series(d, d, n1, rbits2);
if (!arb_poly_overlaps(c, d))
{
flint_printf("FAIL (functional equation)\n\n");
flint_printf("a = "); arb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); arb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); arb_poly_printd(c, 15); flint_printf("\n\n");
flint_printf("d = "); arb_poly_printd(d, 15); flint_printf("\n\n");
abort();
}
arb_poly_digamma_series(a, a, n1, rbits2);
if (!arb_poly_overlaps(a, b))
{
flint_printf("FAIL (aliasing)\n\n");
abort();
}
arb_poly_clear(a);
arb_poly_clear(b);
arb_poly_clear(c);
arb_poly_clear(d);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("atan_series....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000; iter++)
{
slong m, n, qbits, rbits1, rbits2;
fmpq_poly_t A;
arb_poly_t a, b, c, d;
qbits = 2 + n_randint(state, 200);
rbits1 = 2 + n_randint(state, 200);
rbits2 = 2 + n_randint(state, 200);
m = 1 + n_randint(state, 30);
n = 1 + n_randint(state, 30);
fmpq_poly_init(A);
arb_poly_init(a);
arb_poly_init(b);
arb_poly_init(c);
arb_poly_init(d);
fmpq_poly_randtest(A, state, m, qbits);
arb_poly_set_fmpq_poly(a, A, rbits1);
arb_poly_randtest(b, state, 1 + n_randint(state, 30), rbits1, 5);
arb_poly_atan_series(b, a, n, rbits2);
/* Check 2 atan(x) = atan(2x/(1-x^2)) + C */
arb_poly_mullow(c, a, a, n, rbits2);
arb_poly_one(d);
arb_poly_sub(c, d, c, rbits2);
arb_poly_add(d, a, a, rbits2);
if (arb_poly_length(c) != 0)
{
arb_poly_div_series(c, d, c, n, rbits2);
arb_poly_atan_series(c, c, n, rbits2);
arb_poly_add(d, b, b, rbits2);
/* TODO: also check the first coefficient */
arb_poly_set_coeff_si(c, 0, 0);
arb_poly_set_coeff_si(d, 0, 0);
if (!arb_poly_overlaps(c, d))
{
flint_printf("FAIL\n\n");
flint_printf("bits2 = %wd\n", rbits2);
flint_printf("A = "); fmpq_poly_print(A); flint_printf("\n\n");
flint_printf("a = "); arb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); arb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); arb_poly_printd(c, 15); flint_printf("\n\n");
flint_printf("d = "); arb_poly_printd(d, 15); flint_printf("\n\n");
abort();
}
}
arb_poly_atan_series(a, a, n, rbits2);
if (!arb_poly_equal(a, b))
{
flint_printf("FAIL (aliasing)\n\n");
abort();
}
fmpq_poly_clear(A);
arb_poly_clear(a);
arb_poly_clear(b);
arb_poly_clear(c);
arb_poly_clear(d);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("mullow_block....");
fflush(stdout);
flint_randinit(state);
/* compare with fmpq_poly */
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
slong qbits1, qbits2, rbits1, rbits2, rbits3, trunc;
fmpq_poly_t A, B, C;
arb_poly_t a, b, c, d;
qbits1 = 2 + n_randint(state, 1000);
qbits2 = 2 + n_randint(state, 1000);
rbits1 = 2 + n_randint(state, 1000);
rbits2 = 2 + n_randint(state, 1000);
rbits3 = 2 + n_randint(state, 1000);
trunc = n_randint(state, 100);
fmpq_poly_init(A);
fmpq_poly_init(B);
fmpq_poly_init(C);
arb_poly_init(a);
arb_poly_init(b);
arb_poly_init(c);
arb_poly_init(d);
fmpq_poly_randtest(A, state, 1 + n_randint(state, 100), qbits1);
fmpq_poly_randtest(B, state, 1 + n_randint(state, 100), qbits2);
fmpq_poly_mullow(C, A, B, trunc);
arb_poly_set_fmpq_poly(a, A, rbits1);
arb_poly_set_fmpq_poly(b, B, rbits2);
arb_poly_mullow_block(c, a, b, trunc, rbits3);
if (!arb_poly_contains_fmpq_poly(c, C))
{
flint_printf("FAIL\n\n");
flint_printf("bits3 = %wd\n", rbits3);
flint_printf("trunc = %wd\n", trunc);
flint_printf("A = "); fmpq_poly_print(A); flint_printf("\n\n");
flint_printf("B = "); fmpq_poly_print(B); flint_printf("\n\n");
flint_printf("C = "); fmpq_poly_print(C); flint_printf("\n\n");
flint_printf("a = "); arb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); arb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); arb_poly_printd(c, 15); flint_printf("\n\n");
abort();
}
arb_poly_set(d, a);
arb_poly_mullow_block(d, d, b, trunc, rbits3);
if (!arb_poly_equal(d, c))
{
flint_printf("FAIL (aliasing 1)\n\n");
abort();
}
arb_poly_set(d, b);
arb_poly_mullow_block(d, a, d, trunc, rbits3);
if (!arb_poly_equal(d, c))
{
flint_printf("FAIL (aliasing 2)\n\n");
abort();
}
/* test squaring */
arb_poly_set(b, a);
arb_poly_mullow_block(c, a, b, trunc, rbits3);
arb_poly_mullow_block(d, a, a, trunc, rbits3);
if (!arb_poly_overlaps(c, d)) /* not guaranteed to be identical */
{
flint_printf("FAIL (squaring)\n\n");
flint_printf("a = "); arb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); arb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); arb_poly_printd(c, 15); flint_printf("\n\n");
abort();
}
arb_poly_mullow_block(a, a, a, trunc, rbits3);
if (!arb_poly_equal(d, a))
{
flint_printf("FAIL (aliasing, squaring)\n\n");
flint_printf("a = "); arb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); arb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("d = "); arb_poly_printd(d, 15); flint_printf("\n\n");
abort();
}
fmpq_poly_clear(A);
fmpq_poly_clear(B);
fmpq_poly_clear(C);
arb_poly_clear(a);
arb_poly_clear(b);
arb_poly_clear(c);
arb_poly_clear(d);
}
for (iter = 0; iter < 3000 * arb_test_multiplier(); iter++)
{
slong rbits1, rbits2, rbits3, trunc;
arb_poly_t a, b, c, ab, ac, bc, abc, abc2;
rbits1 = 2 + n_randint(state, 300);
rbits2 = 2 + n_randint(state, 300);
rbits3 = 2 + n_randint(state, 300);
trunc = n_randint(state, 100);
arb_poly_init(a);
arb_poly_init(b);
arb_poly_init(c);
arb_poly_init(ab);
arb_poly_init(ac);
arb_poly_init(bc);
arb_poly_init(abc);
arb_poly_init(abc2);
arb_poly_randtest(a, state, 1 + n_randint(state, 100), rbits1, 1 + n_randint(state, 100));
arb_poly_randtest(b, state, 1 + n_randint(state, 100), rbits2, 1 + n_randint(state, 100));
arb_poly_randtest(c, state, 1 + n_randint(state, 100), rbits2, 1 + n_randint(state, 100));
/* check a*(b+c) = a*b + a*c */
arb_poly_mullow_block(ab, a, b, trunc, rbits3);
arb_poly_mullow_block(ac, a, c, trunc, rbits3);
arb_poly_add(abc, ab, ac, rbits3);
arb_poly_add(bc, b, c, rbits3);
arb_poly_mullow_block(abc2, a, bc, trunc, rbits3);
if (!arb_poly_overlaps(abc, abc2))
{
flint_printf("FAIL (a*(b+c) = a*b + a*c) \n\n");
flint_printf("bits3 = %wd\n", rbits3);
flint_printf("trunc = %wd\n", trunc);
flint_printf("a = "); arb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); arb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); arb_poly_printd(c, 15); flint_printf("\n\n");
abort();
}
/* check (b+c)^2 = b^2 + 2bc + c^2 */
arb_poly_mullow_block(a, b, c, trunc, rbits3);
arb_poly_scalar_mul_2exp_si(a, a, 1);
arb_poly_mullow_block(abc, b, b, trunc, rbits3);
arb_poly_mullow_block(abc2, c, c, trunc, rbits3);
arb_poly_add(abc, abc, a, rbits3);
arb_poly_add(abc, abc, abc2, rbits3);
arb_poly_mullow_block(abc2, bc, bc, trunc, rbits3);
if (!arb_poly_overlaps(abc, abc2))
{
flint_printf("FAIL ((b+c)^2 = b^2 + 2bc + c^2) \n\n");
flint_printf("bits3 = %wd\n", rbits3);
flint_printf("trunc = %wd\n", trunc);
flint_printf("b = "); arb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); arb_poly_printd(c, 15); flint_printf("\n\n");
flint_printf("abc = "); arb_poly_printd(abc, 15); flint_printf("\n\n");
flint_printf("abc2 = "); arb_poly_printd(abc2, 15); flint_printf("\n\n");
abort();
}
arb_poly_clear(a);
arb_poly_clear(b);
arb_poly_clear(c);
arb_poly_clear(ab);
arb_poly_clear(ac);
arb_poly_clear(bc);
arb_poly_clear(abc);
arb_poly_clear(abc2);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("add....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000; iter++)
{
slong qbits1, qbits2, rbits1, rbits2, rbits3;
fmpq_poly_t A, B, C;
arb_poly_t a, b, c;
qbits1 = 2 + n_randint(state, 200);
qbits2 = 2 + n_randint(state, 200);
rbits1 = 2 + n_randint(state, 200);
rbits2 = 2 + n_randint(state, 200);
rbits3 = 2 + n_randint(state, 200);
fmpq_poly_init(A);
fmpq_poly_init(B);
fmpq_poly_init(C);
arb_poly_init(a);
arb_poly_init(b);
arb_poly_init(c);
fmpq_poly_randtest(A, state, 1 + n_randint(state, 10), qbits1);
fmpq_poly_randtest(B, state, 1 + n_randint(state, 10), qbits2);
fmpq_poly_add(C, A, B);
arb_poly_set_fmpq_poly(a, A, rbits1);
arb_poly_set_fmpq_poly(b, B, rbits2);
arb_poly_add(c, a, b, rbits3);
if (!arb_poly_contains_fmpq_poly(c, C))
{
flint_printf("FAIL\n\n");
flint_printf("bits3 = %wd\n", rbits3);
flint_printf("A = "); fmpq_poly_print(A); flint_printf("\n\n");
flint_printf("B = "); fmpq_poly_print(B); flint_printf("\n\n");
flint_printf("C = "); fmpq_poly_print(C); flint_printf("\n\n");
flint_printf("a = "); arb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); arb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); arb_poly_printd(c, 15); flint_printf("\n\n");
abort();
}
fmpq_poly_clear(A);
fmpq_poly_clear(B);
fmpq_poly_clear(C);
arb_poly_clear(a);
arb_poly_clear(b);
arb_poly_clear(c);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
