automaton-optimization.maths.gamma — org.clojars.hephaistox/automaton-optimization 2.2.0-la

Calculation of gamma function

beta clj/s

(beta a b)

Computes the beta function.

betacf clj/s

(betacf x a b)

Evaluates the continued fraction for the incomplete beta function. Modified Lentz's method.

erf clj/s

(erf x)

Computes the error function.

erfc clj/s

(erfc x)

Computes the complementary error function.

erfcinv clj/s

(erfcinv p)

Computes the inverse of the complementary error function.

gamma clj/s

(gamma x)

Computes the value of Γx.

gamma-pinv clj/s

(gamma-pinv p a)

Returns the inverse of the lower regularized incomplete gamma function.

ibeta clj/s

(ibeta x a b)

Returns the incomplete beta function I_x(a,b).

ibetainv clj/s

(ibetainv p a b)

Returns the inverse of the incomplete beta function.

inv-gamma-1pm1 clj/s

(inv-gamma-1pm1 x)

Computes the function (dec (/ 1 (gamma (inc x)))), where x∊[-0.5;0.5].

lanczos-approximation clj/s

(lanczos-approximation x)

Computes the Lanczos approximation to the Gamma function for x.

log-beta clj/s

(log-beta a b)

Computes the log of the beta function.

log-gamma clj/s

(log-gamma x)

Computes the value of ln(Γx).

log-gamma-1p clj/s

(log-gamma-1p x)

Computes the function (ln (gamma (inc x))), where x∊[-0.5;0.5].

lower-regularized-gamma clj/s

(lower-regularized-gamma a x)

Computes the lower regularized incomplete gamma function P(a,x).