void
acb_poly_set2_fmpq_poly(acb_poly_t poly, const fmpq_poly_t re, const fmpq_poly_t im, slong prec)
{
arb_poly_t t, u;
arb_poly_init(t);
arb_poly_init(u);
arb_poly_set_fmpq_poly(t, re, prec);
arb_poly_set_fmpq_poly(u, im, prec);
acb_poly_set2_arb_poly(poly, t, u);
arb_poly_clear(t);
arb_poly_clear(u);
}
void
acb_poly_set_fmpq_poly(acb_poly_t poly, const fmpq_poly_t re, slong prec)
{
arb_poly_t t;
arb_poly_init(t);
arb_poly_set_fmpq_poly(t, re, prec);
acb_poly_set_arb_poly(poly, t);
arb_poly_clear(t);
}
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("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("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("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("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()
{
slong iter;
flint_rand_t state;
flint_printf("rgamma_series....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 2000 * arb_test_multiplier(); iter++)
{
slong m, n1, n2, qbits, rbits1, rbits2, rbits3;
fmpq_poly_t A;
arb_poly_t a, b, c, d;
qbits = 2 + n_randint(state, 200);
rbits1 = 2 + n_randint(state, 400);
rbits2 = 2 + n_randint(state, 400);
rbits3 = 2 + n_randint(state, 400);
m = 1 + n_randint(state, 30);
n1 = 1 + n_randint(state, 30);
n2 = 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_not_zero(A, state, m, qbits);
arb_poly_set_fmpq_poly(a, A, rbits1);
arb_poly_rgamma_series(b, a, n1, rbits2);
arb_poly_rgamma_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 = "); 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");
abort();
}
/* check rgamma(a) = a gamma(a+1) */
arb_poly_add_si(d, a, 1, rbits2);
arb_poly_rgamma_series(d, d, n1, rbits2);
arb_poly_mullow(c, d, a, n1, rbits2);
if (!arb_poly_overlaps(b, c))
{
flint_printf("FAIL (functional equation, n1 = %wd)\n\n", n1);
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_rgamma_series(a, a, n1, rbits2);
if (!arb_poly_overlaps(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("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("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;
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("inv_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, B;
arb_poly_t a, b;
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);
fmpq_poly_init(A);
fmpq_poly_init(B);
arb_poly_init(a);
arb_poly_init(b);
do {
fmpq_poly_randtest_not_zero(A, state, m, qbits);
} while (A->coeffs[0] == 0);
arb_poly_randtest(b, state, 1 + n_randint(state, 20), rbits1, 5);
fmpq_poly_inv_series(B, A, n);
arb_poly_set_fmpq_poly(a, A, rbits1);
arb_poly_inv_series(b, a, n, rbits2);
if (!arb_poly_contains_fmpq_poly(b, 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("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");
abort();
}
arb_poly_inv_series(a, a, n, rbits2);
if (!arb_poly_equal(a, b))
{
flint_printf("FAIL (aliasing)\n\n");
abort();
}
fmpq_poly_clear(A);
fmpq_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("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()
{
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()
{
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("compose_series_brent_kung....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 3000 * arb_test_multiplier(); iter++)
{
slong qbits1, qbits2, rbits1, rbits2, rbits3, n;
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);
n = 2 + n_randint(state, 25);
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, 25), qbits1);
fmpq_poly_randtest(B, state, 1 + n_randint(state, 25), qbits2);
fmpq_poly_set_coeff_ui(B, 0, 0);
fmpq_poly_compose_series(C, A, B, n);
arb_poly_set_fmpq_poly(a, A, rbits1);
arb_poly_set_fmpq_poly(b, B, rbits2);
arb_poly_compose_series_brent_kung(c, a, b, n, rbits3);
if (!arb_poly_contains_fmpq_poly(c, C))
{
flint_printf("FAIL\n\n");
flint_printf("n = %wd, bits3 = %wd\n", 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");
flint_abort();
}
arb_poly_set(d, a);
arb_poly_compose_series_brent_kung(d, d, b, n, rbits3);
if (!arb_poly_equal(d, c))
{
flint_printf("FAIL (aliasing 1)\n\n");
flint_abort();
}
arb_poly_set(d, b);
arb_poly_compose_series_brent_kung(d, a, d, n, rbits3);
if (!arb_poly_equal(d, c))
{
flint_printf("FAIL (aliasing 2)\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;
}
