pub fn random_unsigned_polynomials<T: PrimitiveUnsigned>(
seed: Seed,
mean_length_numerator: u64,
mean_length_denominator: u64,
) -> RandomUnsignedPolynomialsFromUnsigneds<T>Expand description
Generates random UnsignedPolynomials.
The coefficients are sampled from random_primitive_ints and the leading coefficient from
random_positive_unsigneds, so each is uniform over its whole range — a u64 has no mean
bit count to choose.
The lengths — the number of coefficients, which is one more than the degree, or zero for the
zero polynomial — are sampled from a geometric distribution with mean mean_length_numerator / mean_length_denominator, so the zero polynomial is generated with the probability that that
distribution gives to 0.
§Worst-case complexity per iteration
$T(i) = O(\ell)$
$M(i) = O(\ell)$
where $T$ is time, $M$ is additional memory, $i$ is the iteration number, $\ell$ is the number of coefficients of the $i$th output.
§Panics
Panics if mean_length_numerator or mean_length_denominator are zero or their ratio is
greater than or equal to $2^{64}$.
§Examples
use malachite_base::iterators::prefix_to_string;
use malachite_base::random::EXAMPLE_SEED;
use malachite_base::unsigned_polynomial::random::random_unsigned_polynomials;
assert_eq!(
prefix_to_string(random_unsigned_polynomials::<u64>(EXAMPLE_SEED, 1, 1), 5),
"[6282517168718784610, 3854918945212287108*x+16126131237969988437, 3848495687584076941*x+16\
908237734149745446, 8242875068444962379*x+10938355129926736414, 33570146165392012, ...]"
);