static void
bsplit(arb_poly_t pol, const arb_t sqrtD,
const slong * qbf, slong a, slong b, slong prec)
{
if (b - a == 0)
{
arb_poly_one(pol);
}
else if (b - a == 1)
{
acb_t z;
acb_init(z);
/* j((-b+sqrt(-D))/(2a)) */
arb_set_si(acb_realref(z), -FLINT_ABS(qbf[3 * a + 1]));
arb_set(acb_imagref(z), sqrtD);
acb_div_si(z, z, 2 * qbf[3 * a], prec);
acb_modular_j(z, z, prec);
if (qbf[3 * a + 1] < 0)
{
/* (x^2 - 2re(j) x + |j|^2) */
arb_poly_fit_length(pol, 3);
arb_mul(pol->coeffs, acb_realref(z), acb_realref(z), prec);
arb_addmul(pol->coeffs, acb_imagref(z), acb_imagref(z), prec);
arb_mul_2exp_si(pol->coeffs + 1, acb_realref(z), 1);
arb_neg(pol->coeffs + 1, pol->coeffs + 1);
arb_one(pol->coeffs + 2);
_arb_poly_set_length(pol, 3);
}
else
{
/* (x-j) */
arb_poly_fit_length(pol, 2);
arb_neg(pol->coeffs, acb_realref(z));
arb_one(pol->coeffs + 1);
_arb_poly_set_length(pol, 2);
}
acb_clear(z);
}
else
{
arb_poly_t tmp;
arb_poly_init(tmp);
bsplit(pol, sqrtD, qbf, a, a + (b - a) / 2, prec);
bsplit(tmp, sqrtD, qbf, a + (b - a) / 2, b, prec);
arb_poly_mul(pol, pol, tmp, prec);
arb_poly_clear(tmp);
}
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("cos_pi_series....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000; iter++)
{
slong m, n1, n2, bits1, bits2, bits3;
arb_poly_t S, A, B, C;
arb_t pi;
bits1 = 2 + n_randint(state, 200);
bits2 = 2 + n_randint(state, 200);
bits3 = 2 + n_randint(state, 200);
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_init(pi);
arb_poly_randtest(S, state, m, bits1, 3);
arb_poly_randtest(A, state, m, bits1, 3);
arb_poly_randtest(B, state, m, bits1, 3);
arb_poly_cos_pi_series(A, S, n1, bits2);
arb_const_pi(pi, bits3);
arb_poly_set_arb(B, pi);
arb_poly_mul(B, S, B, bits3);
arb_poly_cos_series(B, B, 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))
{
flint_printf("FAIL\n\n");
flint_printf("S = "); arb_poly_printd(S, 15); 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");
abort();
}
arb_poly_cos_pi_series(S, S, n1, bits2);
if (!arb_poly_overlaps(A, S))
{
flint_printf("FAIL (aliasing)\n\n");
abort();
}
arb_poly_clear(S);
arb_poly_clear(A);
arb_poly_clear(B);
arb_poly_clear(C);
arb_clear(pi);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("mul....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
{
slong qbits1, qbits2, rbits1, rbits2, rbits3;
fmpq_poly_t A, B, C;
arb_poly_t a, b, c, d;
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);
arb_poly_init(d);
fmpq_poly_randtest(A, state, 1 + n_randint(state, 10), qbits1);
fmpq_poly_randtest(B, state, 1 + n_randint(state, 10), qbits2);
fmpq_poly_mul(C, A, B);
arb_poly_set_fmpq_poly(a, A, rbits1);
arb_poly_set_fmpq_poly(b, B, rbits2);
arb_poly_mul(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();
}
arb_poly_set(d, a);
arb_poly_mul(d, d, b, rbits3);
if (!arb_poly_equal(d, c))
{
flint_printf("FAIL (aliasing 1)\n\n");
abort();
}
arb_poly_set(d, b);
arb_poly_mul(d, a, d, rbits3);
if (!arb_poly_equal(d, c))
{
flint_printf("FAIL (aliasing 2)\n\n");
abort();
}
/* test squaring */
arb_poly_set(b, a);
arb_poly_mul(c, a, b, rbits3);
arb_poly_mul(d, a, a, 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_mul(a, a, a, 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);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
