int main()
{
slong iter;
flint_rand_t state;
flint_printf("evaluate2_rectangular....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_poly_t f, g;
arb_t x, y1, z1, y2, z2;
arb_init(x);
arb_init(y1);
arb_init(z1);
arb_init(y2);
arb_init(z2);
arb_poly_init(f);
arb_poly_init(g);
arb_randtest(x, state, 2 + n_randint(state, 1000), 5);
arb_poly_randtest(f, state, 2 + n_randint(state, 100), 2 + n_randint(state, 1000), 5);
arb_poly_derivative(g, f, 2 + n_randint(state, 1000));
arb_poly_evaluate2_rectangular(y1, z1, f, x, 2 + n_randint(state, 1000));
arb_poly_evaluate_horner(y2, f, x, 2 + n_randint(state, 1000));
arb_poly_evaluate_horner(z2, g, x, 2 + n_randint(state, 1000));
if (!arb_overlaps(y1, y2) || !arb_overlaps(z1, z2))
{
flint_printf("FAIL\n\n");
flint_printf("f = "); arb_poly_printd(f, 15); flint_printf("\n\n");
flint_printf("g = "); arb_poly_printd(g, 15); flint_printf("\n\n");
flint_printf("x = "); arb_printd(x, 15); flint_printf("\n\n");
flint_printf("y1 = "); arb_printd(y1, 15); flint_printf("\n\n");
flint_printf("z1 = "); arb_printd(z1, 15); flint_printf("\n\n");
flint_printf("y2 = "); arb_printd(y2, 15); flint_printf("\n\n");
flint_printf("z2 = "); arb_printd(z2, 15); flint_printf("\n\n");
abort();
}
arb_poly_clear(f);
arb_poly_clear(g);
arb_clear(x);
arb_clear(y1);
arb_clear(z1);
arb_clear(y2);
arb_clear(z2);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("evaluate_acb_rectangular....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000; iter++)
{
arb_poly_t f;
acb_t x, y1, y2;
acb_init(x);
acb_init(y1);
acb_init(y2);
arb_poly_init(f);
acb_randtest(x, state, 2 + n_randint(state, 1000), 5);
arb_poly_randtest(f, state, 2 + n_randint(state, 100), 2 + n_randint(state, 1000), 5);
arb_poly_evaluate_acb_rectangular(y1, f, x, 2 + n_randint(state, 1000));
arb_poly_evaluate_acb_horner(y2, f, x, 2 + n_randint(state, 1000));
if (!acb_overlaps(y1, y2))
{
flint_printf("FAIL\n\n");
flint_printf("f = "); arb_poly_printd(f, 15); flint_printf("\n\n");
flint_printf("x = "); acb_printd(x, 15); flint_printf("\n\n");
flint_printf("y1 = "); acb_printd(y1, 15); flint_printf("\n\n");
flint_printf("y2 = "); acb_printd(y2, 15); flint_printf("\n\n");
abort();
}
arb_poly_clear(f);
acb_clear(x);
acb_clear(y1);
acb_clear(y2);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int
main(void)
{
int i, result;
flint_rand_t state;
printf("get_coeff_ptr....");
fflush(stdout);
flint_randinit(state);
for (i = 0; i < 1000; i++)
{
arb_poly_t A;
arb_t a;
long n = n_randint(state, 100);
arb_poly_init(A);
arb_poly_randtest(A, state, n_randint(state, 100), 100, 10);
arb_init(a);
arb_poly_get_coeff_arb(a, A, n);
result = n < arb_poly_length(A) ?
arb_equal(a, arb_poly_get_coeff_ptr(A, n)) :
arb_poly_get_coeff_ptr(A, n) == NULL;
if (!result)
{
printf("FAIL:\n");
printf("A = "), arb_poly_printd(A, 10), printf("\n\n");
printf("a = "), arb_print(a), printf("\n\n");
printf("n = %ld\n\n", n);
abort();
}
arb_poly_clear(A);
arb_clear(a);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return 0;
}
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;
}
int main()
{
long iter;
flint_rand_t state;
printf("interpolate_fast....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000; iter++)
{
long i, n, qbits1, qbits2, rbits1, rbits2, rbits3;
fmpq_poly_t P;
arb_poly_t R, S;
fmpq_t t, u;
arb_ptr xs, ys;
fmpq_poly_init(P);
arb_poly_init(R);
arb_poly_init(S);
fmpq_init(t);
fmpq_init(u);
qbits1 = 2 + n_randint(state, 200);
qbits2 = 2 + n_randint(state, 5);
rbits1 = 2 + n_randint(state, 200);
rbits2 = 2 + n_randint(state, 200);
rbits3 = 2 + n_randint(state, 200);
fmpq_poly_randtest(P, state, 1 + n_randint(state, 20), qbits1);
n = P->length;
xs = _arb_vec_init(n);
ys = _arb_vec_init(n);
arb_poly_set_fmpq_poly(R, P, rbits1);
if (n > 0)
{
fmpq_randtest(t, state, qbits2);
arb_set_fmpq(xs, t, rbits2);
for (i = 1; i < n; i++)
{
fmpq_randtest_not_zero(u, state, qbits2);
fmpq_abs(u, u);
fmpq_add(t, t, u);
arb_set_fmpq(xs + i, t, rbits2);
}
}
for (i = 0; i < n; i++)
arb_poly_evaluate(ys + i, R, xs + i, rbits2);
arb_poly_interpolate_fast(S, xs, ys, n, rbits3);
if (!arb_poly_contains_fmpq_poly(S, P))
{
printf("FAIL:\n");
printf("P = "); fmpq_poly_print(P); printf("\n\n");
printf("R = "); arb_poly_printd(R, 15); printf("\n\n");
printf("S = "); arb_poly_printd(S, 15); printf("\n\n");
abort();
}
fmpq_poly_clear(P);
arb_poly_clear(R);
arb_poly_clear(S);
fmpq_clear(t);
fmpq_clear(u);
_arb_vec_clear(xs, n);
_arb_vec_clear(ys, n);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("evaluate_horner....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000; iter++)
{
slong qbits1, qbits2, rbits1, rbits2, rbits3;
fmpq_poly_t F;
fmpq_t X, Y;
arb_poly_t f;
arb_t x, y;
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(F);
fmpq_init(X);
fmpq_init(Y);
arb_poly_init(f);
arb_init(x);
arb_init(y);
fmpq_poly_randtest(F, state, 1 + n_randint(state, 20), qbits1);
fmpq_randtest(X, state, qbits2);
fmpq_poly_evaluate_fmpq(Y, F, X);
arb_poly_set_fmpq_poly(f, F, rbits1);
arb_set_fmpq(x, X, rbits2);
arb_poly_evaluate_horner(y, f, x, rbits3);
if (!arb_contains_fmpq(y, Y))
{
flint_printf("FAIL\n\n");
flint_printf("F = "); fmpq_poly_print(F); flint_printf("\n\n");
flint_printf("X = "); fmpq_print(X); flint_printf("\n\n");
flint_printf("Y = "); fmpq_print(Y); flint_printf("\n\n");
flint_printf("f = "); arb_poly_printd(f, 15); flint_printf("\n\n");
flint_printf("x = "); arb_printd(x, 15); flint_printf("\n\n");
flint_printf("y = "); arb_printd(y, 15); flint_printf("\n\n");
abort();
}
/* aliasing */
arb_poly_evaluate_horner(x, f, x, rbits3);
if (!arb_contains_fmpq(x, Y))
{
flint_printf("FAIL (aliasing)\n\n");
abort();
}
fmpq_poly_clear(F);
fmpq_clear(X);
fmpq_clear(Y);
arb_poly_clear(f);
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("pow_ui....");
fflush(stdout);
flint_randinit(state);
/* compare with fmpz_poly */
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
slong zbits1, rbits1, rbits2;
ulong e;
fmpz_poly_t A, B;
arb_poly_t a, b;
zbits1 = 2 + n_randint(state, 100);
rbits1 = 2 + n_randint(state, 200);
rbits2 = 2 + n_randint(state, 200);
e = n_randint(state, 30);
fmpz_poly_init(A);
fmpz_poly_init(B);
arb_poly_init(a);
arb_poly_init(b);
fmpz_poly_randtest(A, state, 1 + n_randint(state, 8), zbits1);
fmpz_poly_pow(B, A, e);
arb_poly_set_fmpz_poly(a, A, rbits1);
arb_poly_pow_ui(b, a, e, rbits2);
if (!arb_poly_contains_fmpz_poly(b, B))
{
flint_printf("FAIL\n\n");
flint_printf("bits2 = %wd\n", rbits2);
flint_printf("e = %wu\n", e);
flint_printf("A = "); fmpz_poly_print(A); flint_printf("\n\n");
flint_printf("B = "); fmpz_poly_print(B); 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_pow_ui(a, a, e, rbits2);
if (!arb_poly_equal(a, b))
{
flint_printf("FAIL (aliasing)\n\n");
abort();
}
fmpz_poly_clear(A);
fmpz_poly_clear(B);
arb_poly_clear(a);
arb_poly_clear(b);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("revert_series_lagrange....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
{
slong qbits1, rbits1, rbits2, n;
fmpq_poly_t A, B;
arb_poly_t a, b, c;
qbits1 = 2 + n_randint(state, 200);
rbits1 = 2 + n_randint(state, 200);
rbits2 = 2 + n_randint(state, 200);
n = 2 + n_randint(state, 25);
fmpq_poly_init(A);
fmpq_poly_init(B);
arb_poly_init(a);
arb_poly_init(b);
arb_poly_init(c);
do {
fmpq_poly_randtest(A, state, 1 + n_randint(state, 25), qbits1);
fmpq_poly_set_coeff_ui(A, 0, 0);
} while (A->length < 2 || fmpz_is_zero(A->coeffs + 1));
fmpq_poly_revert_series(B, A, n);
arb_poly_set_fmpq_poly(a, A, rbits1);
arb_poly_revert_series_lagrange(b, a, n, rbits2);
if (!arb_poly_contains_fmpq_poly(b, B))
{
flint_printf("FAIL\n\n");
flint_printf("n = %wd, bits2 = %wd\n", n, rbits2);
flint_printf("A = "); fmpq_poly_print(A); flint_printf("\n\n");
flint_printf("B = "); fmpq_poly_print(B); 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_abort();
}
arb_poly_set(c, a);
arb_poly_revert_series_lagrange(c, c, n, rbits2);
if (!arb_poly_equal(c, b))
{
flint_printf("FAIL (aliasing)\n\n");
flint_abort();
}
fmpq_poly_clear(A);
fmpq_poly_clear(B);
arb_poly_clear(a);
arb_poly_clear(b);
arb_poly_clear(c);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
long iter;
flint_rand_t state;
printf("divrem....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000; iter++)
{
long m, n, qbits1, qbits2, rbits1, rbits2, rbits3;
fmpq_poly_t A, B, Q, R;
arb_poly_t a, b, q, r;
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);
m = 1 + n_randint(state, 20);
n = 1 + n_randint(state, 20);
fmpq_poly_init(A);
fmpq_poly_init(B);
fmpq_poly_init(Q);
fmpq_poly_init(R);
arb_poly_init(a);
arb_poly_init(b);
arb_poly_init(q);
arb_poly_init(r);
fmpq_poly_randtest(A, state, m, qbits1);
fmpq_poly_randtest_not_zero(B, state, n, qbits2);
fmpq_poly_divrem(Q, R, A, B);
arb_poly_set_fmpq_poly(a, A, rbits1);
arb_poly_set_fmpq_poly(b, B, rbits2);
arb_poly_divrem(q, r, a, b, rbits3);
if (!arb_poly_contains_fmpq_poly(q, Q) ||
!arb_poly_contains_fmpq_poly(r, R))
{
printf("FAIL\n\n");
printf("A = "); fmpq_poly_print(A); printf("\n\n");
printf("B = "); fmpq_poly_print(B); printf("\n\n");
printf("Q = "); fmpq_poly_print(Q); printf("\n\n");
printf("R = "); fmpq_poly_print(R); printf("\n\n");
printf("a = "); arb_poly_printd(a, 15); printf("\n\n");
printf("b = "); arb_poly_printd(b, 15); printf("\n\n");
printf("q = "); arb_poly_printd(q, 15); printf("\n\n");
printf("r = "); arb_poly_printd(r, 15); printf("\n\n");
abort();
}
arb_poly_divrem(a, r, a, b, rbits3);
if (!arb_poly_equal(a, q))
{
printf("FAIL (aliasing q, a)\n\n");
}
arb_poly_set_fmpq_poly(a, A, rbits1);
arb_poly_divrem(b, r, a, b, rbits3);
if (!arb_poly_equal(b, q))
{
printf("FAIL (aliasing q, b)\n\n");
abort();
}
arb_poly_set_fmpq_poly(b, B, rbits2);
arb_poly_divrem(q, a, a, b, rbits3);
if (!arb_poly_equal(a, r))
{
printf("FAIL (aliasing r, a)\n\n");
abort();
}
arb_poly_set_fmpq_poly(a, A, rbits1);
arb_poly_divrem(q, b, a, b, rbits3);
if (!arb_poly_equal(b, r))
{
printf("FAIL (aliasing r, b)\n\n");
abort();
}
fmpq_poly_clear(A);
fmpq_poly_clear(B);
fmpq_poly_clear(Q);
fmpq_poly_clear(R);
arb_poly_clear(a);
arb_poly_clear(b);
arb_poly_clear(q);
arb_poly_clear(r);
}
flint_randclear(state);
flint_cleanup();
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()
{
long iter;
flint_rand_t state;
printf("pow_arb_series....");
fflush(stdout);
flint_randinit(state);
/* compare with exp/log */
for (iter = 0; iter < 10000; iter++)
{
long prec, trunc;
arb_poly_t f, g, h1, h2;
arb_t c;
prec = 2 + n_randint(state, 200);
trunc = n_randint(state, 20);
arb_poly_init(f);
arb_poly_init(g);
arb_poly_init(h1);
arb_poly_init(h2);
arb_init(c);
/* generate binomials */
if (n_randint(state, 20) == 0)
{
arb_randtest(c, state, prec, 10);
arb_poly_set_coeff_arb(f, 0, c);
arb_randtest(c, state, prec, 10);
arb_poly_set_coeff_arb(f, 1 + n_randint(state, 20), c);
}
else
{
arb_poly_randtest(f, state, 1 + n_randint(state, 20), prec, 10);
}
arb_poly_randtest(h1, state, 1 + n_randint(state, 20), prec, 10);
arb_randtest(c, state, prec, 10);
arb_poly_set_arb(g, c);
/* f^c */
arb_poly_pow_arb_series(h1, f, c, trunc, prec);
/* f^c = exp(c*log(f)) */
arb_poly_log_series(h2, f, trunc, prec);
arb_poly_mullow(h2, h2, g, trunc, prec);
arb_poly_exp_series(h2, h2, trunc, prec);
if (!arb_poly_overlaps(h1, h2))
{
printf("FAIL\n\n");
printf("prec = %ld\n", prec);
printf("trunc = %ld\n", trunc);
printf("f = "); arb_poly_printd(f, 15); printf("\n\n");
printf("c = "); arb_printd(c, 15); printf("\n\n");
printf("h1 = "); arb_poly_printd(h1, 15); printf("\n\n");
printf("h2 = "); arb_poly_printd(h2, 15); printf("\n\n");
abort();
}
arb_poly_pow_arb_series(f, f, c, trunc, prec);
if (!arb_poly_overlaps(f, h1))
{
printf("FAIL (aliasing)\n\n");
abort();
}
arb_poly_clear(f);
arb_poly_clear(g);
arb_poly_clear(h1);
arb_poly_clear(h2);
arb_clear(c);
}
flint_randclear(state);
flint_cleanup();
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("pow_series....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 50000 * arb_test_multiplier(); iter++)
{
slong rbits1, rbits2, len;
arb_poly_t a, b, c, d;
rbits1 = 2 + n_randint(state, 200);
rbits2 = 2 + n_randint(state, 200);
len = n_randint(state, 25);
arb_poly_init(a);
arb_poly_init(b);
arb_poly_init(c);
arb_poly_init(d);
if (n_randint(state, 4) == 0)
arb_poly_randtest(a, state, 1, rbits1, 25);
else
arb_poly_randtest(a, state, 1 + n_randint(state, 20), rbits1, 5);
if (n_randint(state, 4) == 0)
arb_poly_randtest(b, state, 1, rbits1, 25);
else
arb_poly_randtest(b, state, 1 + n_randint(state, 20), rbits1, 5);
arb_poly_randtest(c, state, 1 + n_randint(state, 20), rbits1, 5);
arb_poly_pow_series(c, a, b, len, rbits2);
/* a^b = exp(b log a) */
arb_poly_log_series(d, a, len, rbits2);
arb_poly_mullow(d, d, b, len, rbits2);
arb_poly_exp_series(d, d, len, rbits2);
if (!arb_poly_overlaps(c, d))
{
flint_printf("FAIL (iter %wd)\n\n", iter);
flint_printf("bits2 = %wd\n", rbits2);
flint_printf("len = %wd\n", len);
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();
}
/* check aliasing */
if (iter < 5000)
{
arb_poly_set(d, a);
arb_poly_pow_series(d, d, b, len, rbits2);
if (!arb_poly_overlaps(c, d))
{
flint_printf("FAIL (aliasing 1)\n");
abort();
}
arb_poly_set(d, b);
arb_poly_pow_series(d, a, d, len, rbits2);
if (!arb_poly_overlaps(c, d))
{
flint_printf("FAIL (aliasing 2)\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(void)
{
int i, result;
flint_rand_t state;
flint_printf("shift_left/right....");
fflush(stdout);
flint_randinit(state);
/* Check aliasing of a and b for left shift */
for (i = 0; i < 1000; i++)
{
arb_poly_t a, b;
slong shift = n_randint(state, 100);
arb_poly_init(a);
arb_poly_init(b);
arb_poly_randtest(a, state, n_randint(state, 100), 2 + n_randint(state, 200), 10);
arb_poly_shift_left(b, a, shift);
arb_poly_shift_left(a, a, shift);
result = (arb_poly_equal(a, b));
if (!result)
{
flint_printf("FAIL:\n");
arb_poly_printd(a, 10), flint_printf("\n\n");
arb_poly_printd(b, 10), flint_printf("\n\n");
abort();
}
arb_poly_clear(a);
arb_poly_clear(b);
}
/* Check aliasing of a and b for right shift */
for (i = 0; i < 1000; i++)
{
arb_poly_t a, b;
slong shift = n_randint(state, 100);
arb_poly_init(a);
arb_poly_init(b);
arb_poly_randtest(a, state, n_randint(state, 100), 2 + n_randint(state, 200), 10);
arb_poly_shift_right(b, a, shift);
arb_poly_shift_right(a, a, shift);
result = (arb_poly_equal(a, b));
if (!result)
{
flint_printf("FAIL:\n");
arb_poly_printd(a, 10), flint_printf("\n\n");
arb_poly_printd(b, 10), flint_printf("\n\n");
abort();
}
arb_poly_clear(a);
arb_poly_clear(b);
}
/* Check shift left then right does nothing */
for (i = 0; i < 1000; i++)
{
arb_poly_t a, b, c;
slong shift = n_randint(state, 100);
arb_poly_init(a);
arb_poly_init(b);
arb_poly_init(c);
arb_poly_randtest(a, state, n_randint(state, 100), 2 + n_randint(state, 200), 10);
arb_poly_shift_left(b, a, shift);
arb_poly_shift_right(c, b, shift);
result = (arb_poly_equal(c, a));
if (!result)
{
flint_printf("FAIL:\n");
arb_poly_printd(a, 10), flint_printf("\n\n");
arb_poly_printd(b, 10), flint_printf("\n\n");
arb_poly_printd(c, 10), flint_printf("\n\n");
abort();
}
arb_poly_clear(a);
arb_poly_clear(b);
arb_poly_clear(c);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return 0;
}
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("legendre_p_ui_root....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100 * arb_test_multiplier(); iter++)
{
ulong n, k;
slong prec;
arb_ptr roots, weights;
arb_poly_t pol;
arb_t s;
fmpq_poly_t pol2;
n = 1 + n_randint(state, 100);
prec = 20 + n_randint(state, 500);
roots = _arb_vec_init(n);
weights = _arb_vec_init(n);
arb_poly_init(pol);
fmpq_poly_init(pol2);
arb_init(s);
for (k = 0; k < n; k++)
{
if (k > n / 2 && n_randint(state, 2))
{
arb_neg(roots + k, roots + n - k - 1);
arb_set(weights + k, weights + n - k - 1);
}
else
{
arb_hypgeom_legendre_p_ui_root(roots + k, weights + k, n, k, prec);
}
}
arb_poly_product_roots(pol, roots, n, prec);
/* fmpq_poly_legendre_p(pol2, n); */
arith_legendre_polynomial(pol2, n);
arb_set_fmpz(s, pol2->coeffs + n);
arb_div_fmpz(s, s, pol2->den, prec);
arb_poly_scalar_mul(pol, pol, s, prec);
if (!arb_poly_contains_fmpq_poly(pol, pol2))
{
flint_printf("FAIL: polynomial containment\n\n");
flint_printf("n = %wu, prec = %wd\n\n", n, prec);
flint_printf("pol = "); arb_poly_printd(pol, 30); flint_printf("\n\n");
flint_printf("pol2 = "); fmpq_poly_print(pol2); flint_printf("\n\n");
flint_abort();
}
arb_zero(s);
for (k = 0; k < n; k++)
{
arb_add(s, s, weights + k, prec);
}
if (!arb_contains_si(s, 2))
{
flint_printf("FAIL: sum of weights\n\n");
flint_printf("n = %wu, prec = %wd\n\n", n, prec);
flint_printf("s = "); arb_printn(s, 30, 0); flint_printf("\n\n");
flint_abort();
}
_arb_vec_clear(roots, n);
_arb_vec_clear(weights, n);
arb_poly_clear(pol);
fmpq_poly_clear(pol2);
arb_clear(s);
}
for (iter = 0; iter < 500 * arb_test_multiplier(); iter++)
{
arb_t x1, x2, w1, w2;
ulong n, k;
slong prec1, prec2;
arb_init(x1);
arb_init(x2);
arb_init(w1);
arb_init(w2);
n = 1 + n_randtest(state) % 100000;
if (n_randint(state, 2) || n == 1)
k = n_randtest(state) % n;
else
k = n / 2 - (n_randtest(state) % (n / 2));
prec1 = 2 + n_randtest(state) % 2000;
prec2 = 2 + n_randtest(state) % 2000;
arb_hypgeom_legendre_p_ui_root(x1, w1, n, k, prec1);
if (n_randint(state, 10) == 0)
arb_hypgeom_legendre_p_ui_root(x1, NULL, n, k, prec1);
arb_hypgeom_legendre_p_ui_root(x2, w2, n, k, prec2);
if (!arb_overlaps(x1, x2) || !arb_overlaps(w1, w2))
{
flint_printf("FAIL: overlap\n\n");
flint_printf("n = %wu, k = %wu, prec1 = %wd, prec2 = %wd\n\n", n, k, prec1, prec2);
flint_printf("x1 = "); arb_printn(x1, 100, 0); flint_printf("\n\n");
flint_printf("x2 = "); arb_printn(x2, 100, 0); flint_printf("\n\n");
flint_printf("w1 = "); arb_printn(w1, 100, 0); flint_printf("\n\n");
flint_printf("w2 = "); arb_printn(w2, 100, 0); flint_printf("\n\n");
flint_abort();
}
if (arb_rel_accuracy_bits(x1) < prec1 - 3 || arb_rel_accuracy_bits(w1) < prec1 - 3)
{
flint_printf("FAIL: accuracy\n\n");
flint_printf("n = %wu, k = %wu, prec1 = %wd\n\n", n, k, prec1);
flint_printf("acc(x1) = %wd, acc(w1) = %wd\n\n", arb_rel_accuracy_bits(x1), arb_rel_accuracy_bits(w1));
flint_printf("x1 = "); arb_printn(x1, prec1, ARB_STR_CONDENSE * 30); flint_printf("\n\n");
flint_printf("w1 = "); arb_printn(w1, prec1, ARB_STR_CONDENSE * 30); flint_printf("\n\n");
flint_abort();
}
if (arb_rel_accuracy_bits(x2) < prec2 - 3 || arb_rel_accuracy_bits(w2) < prec2 - 3)
{
flint_printf("FAIL: accuracy 2\n\n");
flint_printf("n = %wu, k = %wu, prec2 = %wd\n\n", n, k, prec2);
flint_printf("acc(x2) = %wd, acc(w2) = %wd\n\n", arb_rel_accuracy_bits(x2), arb_rel_accuracy_bits(w2));
flint_printf("x2 = "); arb_printn(x2, prec2, ARB_STR_CONDENSE * 30); flint_printf("\n\n");
flint_printf("w2 = "); arb_printn(w2, prec2, ARB_STR_CONDENSE * 30); flint_printf("\n\n");
flint_abort();
}
arb_clear(x1);
arb_clear(x2);
arb_clear(w1);
arb_clear(w2);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("root_bound_fujiwara....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_poly_t a;
arb_ptr roots;
arb_t t;
mag_t mag1, mag2;
slong i, deg, prec;
prec = 10 + n_randint(state, 400);
deg = n_randint(state, 10);
arb_init(t);
arb_poly_init(a);
mag_init(mag1);
mag_init(mag2);
roots = _arb_vec_init(deg);
for (i = 0; i < deg; i++)
arb_randtest(roots + i, state, prec, 1 + n_randint(state, 20));
arb_poly_product_roots(a, roots, deg, prec);
arb_randtest(t, state, prec, 1 + n_randint(state, 20));
arb_poly_scalar_mul(a, a, t, prec);
arb_poly_root_bound_fujiwara(mag1, a);
for (i = 0; i < deg; i++)
{
arb_get_mag(mag2, roots + i);
/* arb_get_mag gives an upper bound which due to rounding
could be larger than mag1, so we pick a slightly
smaller number */
mag_mul_ui(mag2, mag2, 10000);
mag_div_ui(mag2, mag2, 10001);
if (mag_cmp(mag2, mag1) > 0)
{
flint_printf("FAIL\n");
flint_printf("a = "); arb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("root = "); arb_printd(roots + i, 15); flint_printf("\n\n");
flint_printf("mag1 = "); mag_printd(mag1, 10); flint_printf("\n\n");
flint_printf("mag2 = "); mag_printd(mag2, 10); flint_printf("\n\n");
abort();
}
}
_arb_vec_clear(roots, deg);
arb_clear(t);
arb_poly_clear(a);
mag_clear(mag1);
mag_clear(mag2);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
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("compose_horner....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 3000; iter++)
{
long 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, 20), qbits1);
fmpq_poly_randtest(B, state, 1 + n_randint(state, 10), qbits2);
fmpq_poly_compose(C, A, B);
arb_poly_set_fmpq_poly(a, A, rbits1);
arb_poly_set_fmpq_poly(b, B, rbits2);
arb_poly_compose_horner(c, a, b, rbits3);
if (!arb_poly_contains_fmpq_poly(c, C))
{
printf("FAIL\n\n");
printf("bits3 = %ld\n", rbits3);
printf("A = "); fmpq_poly_print(A); printf("\n\n");
printf("B = "); fmpq_poly_print(B); printf("\n\n");
printf("C = "); fmpq_poly_print(C); printf("\n\n");
printf("a = "); arb_poly_printd(a, 15); printf("\n\n");
printf("b = "); arb_poly_printd(b, 15); printf("\n\n");
printf("c = "); arb_poly_printd(c, 15); printf("\n\n");
abort();
}
arb_poly_set(d, a);
arb_poly_compose_horner(d, d, b, rbits3);
if (!arb_poly_equal(d, c))
{
printf("FAIL (aliasing 1)\n\n");
abort();
}
arb_poly_set(d, b);
arb_poly_compose_horner(d, a, d, rbits3);
if (!arb_poly_equal(d, c))
{
printf("FAIL (aliasing 2)\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();
printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("rising_ui_series....");
fflush(stdout);
flint_randinit(state);
/* check rf(f, a) * rf(f + a, b) = rf(f, a + b) */
for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
{
slong bits, trunc;
ulong a, b;
arb_poly_t f, g, h1, h2, h1h2, h3;
bits = 2 + n_randint(state, 200);
trunc = 1 + n_randint(state, 20);
a = n_randint(state, 10);
b = n_randint(state, 10);
arb_poly_init(f);
arb_poly_init(g);
arb_poly_init(h1);
arb_poly_init(h2);
arb_poly_init(h1h2);
arb_poly_init(h3);
arb_poly_randtest(f, state, 1 + n_randint(state, 20), bits, 4);
arb_poly_set(g, f);
/* g = f + 1 */
if (g->length == 0)
{
arb_poly_fit_length(g, 1);
arb_set_ui(g->coeffs, a);
_arb_poly_set_length(g, 1);
_arb_poly_normalise(g);
}
else
{
arb_add_ui(g->coeffs, g->coeffs, a, bits);
_arb_poly_normalise(g);
}
arb_poly_rising_ui_series(h1, f, a, trunc, bits);
arb_poly_rising_ui_series(h2, g, b, trunc, bits);
arb_poly_rising_ui_series(h3, f, a + b, trunc, bits);
arb_poly_mullow(h1h2, h1, h2, trunc, bits);
if (!arb_poly_overlaps(h1h2, h3))
{
flint_printf("FAIL\n\n");
flint_printf("bits = %wd\n", bits);
flint_printf("trunc = %wd\n", trunc);
flint_printf("a = %wu\n", a);
flint_printf("b = %wu\n", a);
flint_printf("f = "); arb_poly_printd(f, 15); flint_printf("\n\n");
flint_printf("g = "); arb_poly_printd(g, 15); flint_printf("\n\n");
flint_printf("h1 = "); arb_poly_printd(h1, 15); flint_printf("\n\n");
flint_printf("h2 = "); arb_poly_printd(h2, 15); flint_printf("\n\n");
flint_printf("h1h2 = "); arb_poly_printd(h1h2, 15); flint_printf("\n\n");
flint_printf("h3 = "); arb_poly_printd(h3, 15); flint_printf("\n\n");
abort();
}
arb_poly_rising_ui_series(f, f, a, trunc, bits);
if (!arb_poly_equal(f, h1))
{
flint_printf("FAIL (aliasing)\n\n");
flint_printf("bits = %wd\n", bits);
flint_printf("trunc = %wd\n", trunc);
flint_printf("a = %wu\n", a);
flint_printf("b = %wu\n", a);
flint_printf("f = "); arb_poly_printd(f, 15); flint_printf("\n\n");
flint_printf("h1 = "); arb_poly_printd(h1, 15); flint_printf("\n\n");
abort();
}
arb_poly_clear(f);
arb_poly_clear(g);
arb_poly_clear(h1);
arb_poly_clear(h2);
arb_poly_clear(h1h2);
arb_poly_clear(h3);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("acos_series....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000 * arb_test_multiplier(); 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_acos_series(b, a, n, rbits2);
/* Check cos(acos(x)) = x */
arb_poly_sin_cos_series_basecase(d, c, b, n, rbits2, 0);
fmpq_poly_truncate(A, n);
if (!arb_poly_contains_fmpq_poly(c, A))
{
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_acos_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()
{
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(void)
{
int iter;
flint_rand_t state;
flint_printf("set_trunc_round....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
{
arb_poly_t a, b, c, d, e;
slong n, prec;
arb_poly_init(a);
arb_poly_init(b);
arb_poly_init(c);
arb_poly_init(d);
arb_poly_init(e);
arb_poly_randtest(a, state, n_randint(state, 10), 2 + n_randint(state, 200), 10);
arb_poly_randtest(b, state, n_randint(state, 10), 2 + n_randint(state, 200), 10);
arb_poly_randtest(c, state, n_randint(state, 10), 2 + n_randint(state, 200), 10);
arb_poly_randtest(d, state, n_randint(state, 10), 2 + n_randint(state, 200), 10);
arb_poly_randtest(e, state, n_randint(state, 10), 2 + n_randint(state, 200), 10);
n = n_randint(state, 10);
prec = 2 + n_randint(state, 200);
arb_poly_set_trunc(b, a, n);
arb_poly_set_round(b, b, prec);
arb_poly_set_round(c, a, prec);
arb_poly_set_trunc(c, c, n);
arb_poly_set_trunc_round(d, a, n, prec);
arb_poly_set(e, a);
arb_poly_set_trunc_round(e, e, n, prec);
if (!arb_poly_equal(b, c) || !arb_poly_equal(c, d) || !arb_poly_equal(d, e))
{
flint_printf("FAIL\n\n");
arb_poly_printd(a, 50), flint_printf("\n\n");
arb_poly_printd(b, 50), flint_printf("\n\n");
arb_poly_printd(c, 50), flint_printf("\n\n");
arb_poly_printd(d, 50), flint_printf("\n\n");
arb_poly_printd(e, 50), flint_printf("\n\n");
flint_abort();
}
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 0;
}
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;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("evaluate_vec_fast....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
slong i, n, qbits1, qbits2, rbits1, rbits2, rbits3;
fmpq_poly_t F;
fmpq * X, * Y;
arb_poly_t f;
arb_ptr x, y;
qbits1 = 2 + n_randint(state, 100);
qbits2 = 2 + n_randint(state, 100);
rbits1 = 2 + n_randint(state, 200);
rbits2 = 2 + n_randint(state, 200);
rbits3 = 2 + n_randint(state, 200);
n = n_randint(state, 10);
fmpq_poly_init(F);
X = _fmpq_vec_init(n);
Y = _fmpq_vec_init(n);
arb_poly_init(f);
x = _arb_vec_init(n);
y = _arb_vec_init(n);
fmpq_poly_randtest(F, state, 1 + n_randint(state, 20), qbits1);
for (i = 0; i < n; i++)
fmpq_randtest(X + i, state, qbits2);
for (i = 0; i < n; i++)
fmpq_poly_evaluate_fmpq(Y + i, F, X + i);
arb_poly_set_fmpq_poly(f, F, rbits1);
for (i = 0; i < n; i++)
arb_set_fmpq(x + i, X + i, rbits2);
arb_poly_evaluate_vec_fast(y, f, x, n, rbits3);
for (i = 0; i < n; i++)
{
if (!arb_contains_fmpq(y + i, Y + i))
{
flint_printf("FAIL (%wd of %wd)\n\n", i, n);
flint_printf("F = "); fmpq_poly_print(F); flint_printf("\n\n");
flint_printf("X = "); fmpq_print(X + i); flint_printf("\n\n");
flint_printf("Y = "); fmpq_print(Y + i); flint_printf("\n\n");
flint_printf("f = "); arb_poly_printd(f, 15); flint_printf("\n\n");
flint_printf("x = "); arb_printd(x + i, 15); flint_printf("\n\n");
flint_printf("y = "); arb_printd(y + i, 15); flint_printf("\n\n");
abort();
}
}
fmpq_poly_clear(F);
_fmpq_vec_clear(X, n);
_fmpq_vec_clear(Y, n);
arb_poly_clear(f);
_arb_vec_clear(x, n);
_arb_vec_clear(y, n);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("div_series....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
slong m, n, p, qbits, rbits1, rbits2;
fmpq_poly_t A, B, C;
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, 20);
n = 1 + n_randint(state, 20);
p = 1 + n_randint(state, 20);
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, m, qbits);
do {
fmpq_poly_randtest_not_zero(B, state, n, qbits);
} while (B->coeffs[0] == 0);
fmpq_poly_div_series(C, A, B, p);
arb_poly_set_fmpq_poly(a, A, rbits1);
arb_poly_set_fmpq_poly(b, B, rbits1);
arb_poly_div_series(c, a, b, p, rbits2);
if (!arb_poly_contains_fmpq_poly(c, C))
{
flint_printf("FAIL\n\n");
flint_printf("bits2 = %wd\n", rbits2);
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");
flint_abort();
}
arb_poly_set(d, a);
arb_poly_div_series(d, d, b, p, rbits2);
if (!arb_poly_equal(d, c))
{
flint_printf("FAIL (aliasing 1)\n\n");
flint_abort();
}
arb_poly_set(d, b);
arb_poly_div_series(d, a, d, p, rbits2);
if (!arb_poly_equal(d, c))
{
flint_printf("FAIL (aliasing 2)\n\n");
flint_abort();
}
arb_poly_set(d, b);
arb_poly_div_series(c, d, d, p, rbits2);
arb_poly_div_series(d, d, d, p, rbits2);
if (!arb_poly_equal(d, c))
{
flint_printf("FAIL (aliasing 3)\n\n");
flint_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;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("taylor_shift_convolution....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 2000 * arb_test_multiplier(); iter++)
{
slong prec1, prec2;
arb_poly_t f, g;
arb_t c, d, e;
prec1 = 2 + n_randint(state, 500);
prec2 = 2 + n_randint(state, 500);
arb_poly_init(f);
arb_poly_init(g);
arb_init(c);
arb_init(d);
arb_init(e);
arb_poly_randtest(f, state, 1 + n_randint(state, 40), 1 + n_randint(state, 500), 10);
arb_poly_randtest(g, state, 1 + n_randint(state, 20), 1 + n_randint(state, 500), 10);
if (n_randint(state, 2))
arb_set_si(c, n_randint(state, 5) - 2);
else
arb_randtest(c, state, 1 + n_randint(state, 500), 1 + n_randint(state, 100));
if (n_randint(state, 2))
arb_set_si(d, n_randint(state, 5) - 2);
else
arb_randtest(d, state, 1 + n_randint(state, 500), 1 + n_randint(state, 100));
arb_add(e, c, d, prec1);
/* check f(x+c)(x+d) = f(x+c+d) */
arb_poly_taylor_shift_convolution(g, f, e, prec2);
arb_poly_taylor_shift_convolution(f, f, c, prec1);
arb_poly_taylor_shift_convolution(f, f, d, prec1);
if (!arb_poly_overlaps(f, g))
{
flint_printf("FAIL\n\n");
flint_printf("c = ");
arb_printd(c, 15);
flint_printf("\n\n");
flint_printf("d = ");
arb_printd(d, 15);
flint_printf("\n\n");
flint_printf("f = ");
arb_poly_printd(f, 15);
flint_printf("\n\n");
flint_printf("g = ");
arb_poly_printd(g, 15);
flint_printf("\n\n");
abort();
}
arb_poly_clear(f);
arb_poly_clear(g);
arb_clear(c);
arb_clear(d);
arb_clear(e);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("sinh_cosh_series....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
{
arb_poly_t a, b, c, d, e;
slong n1, n2, prec;
int alg1, alg2;
prec = 2 + n_randint(state, 200);
if (n_randint(state, 40) == 0)
{
n1 = n_randint(state, 300);
n2 = n_randint(state, 300);
}
else
{
n1 = n_randint(state, 30);
n2 = n_randint(state, 30);
}
arb_poly_init(a);
arb_poly_init(b);
arb_poly_init(c);
arb_poly_init(d);
arb_poly_init(e);
arb_poly_randtest(a, state, 20, prec, 10);
arb_poly_randtest(b, state, 20, prec, 10);
arb_poly_randtest(c, state, 20, prec, 10);
arb_poly_randtest(d, state, 20, prec, 10);
arb_poly_randtest(e, state, 20, prec, 10);
alg1 = n_randint(state, 4);
alg2 = n_randint(state, 7);
switch (alg1)
{
case 0:
arb_poly_sinh_cosh_series(b, c, a, n1, prec);
break;
case 1:
arb_poly_sinh_cosh_series_basecase(b, c, a, n1, prec);
break;
case 2:
arb_poly_sinh_cosh_series_exponential(b, c, a, n1, prec);
break;
default:
arb_poly_sinh_series(b, a, n1, prec);
arb_poly_cosh_series(c, a, n1, prec);
break;
}
switch (alg2)
{
case 0:
arb_poly_sinh_cosh_series(d, e, a, n2, prec);
break;
case 1:
arb_poly_sinh_cosh_series_basecase(d, e, a, n2, prec);
break;
case 2:
arb_poly_sinh_cosh_series_exponential(d, e, a, n2, prec);
break;
case 3:
arb_poly_sinh_series(d, a, n2, prec);
arb_poly_cosh_series(e, a, n2, prec);
break;
case 4:
arb_poly_set(d, a);
arb_poly_sinh_cosh_series(d, e, d, n2, prec);
break;
case 5:
arb_poly_set(e, a);
arb_poly_sinh_cosh_series(d, e, e, n2, prec);
break;
default:
arb_poly_set(d, a);
arb_poly_sinh_series(d, d, n2, prec);
arb_poly_set(e, a);
arb_poly_cosh_series(e, e, n2, prec);
break;
}
arb_poly_truncate(b, FLINT_MIN(n1, n2));
arb_poly_truncate(c, FLINT_MIN(n1, n2));
arb_poly_truncate(d, FLINT_MIN(n1, n2));
arb_poly_truncate(e, FLINT_MIN(n1, n2));
if (!arb_poly_overlaps(b, d) || !arb_poly_overlaps(c, e))
{
flint_printf("FAIL\n\n");
flint_printf("alg1 = %d, alg2 = %d, n1 = %wd, n2 = %wd\n\n", alg1, alg2, n1, n2);
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");
flint_printf("d = "); arb_poly_printd(e, 15); flint_printf("\n\n");
flint_abort();
}
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;
}