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    special-mathematical-functions

    math
    function
    calculus
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    Version
    0.1.2
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    Apache-2.0
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    last year
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    Dependencies

    #enanandesu/special-mathematical-functions

    #已实现：

    • #椭圆函数与椭圆积分

    • #误差函数

    • #菲涅尔积分

    • #函数求逆

    • #伽马函数和相关函数

    • #二分法求解单调方程

    beta

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    fn beta(a : Double, b : Double) -> Double

    betainc

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    fn betainc(a : Double, b : Double, x : Double) -> Double

    betaincc

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    fn betaincc(a : Double, b : Double, x : Double) -> Double

    betainccinv

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    fn betainccinv(a : Double, b : Double, y : Double) -> Double

    betaincinv

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    fn betaincinv(a : Double, b : Double, y : Double) -> Double

    betaln

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    fn betaln(a : Double, b : Double) -> Double

    bisection_guess

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    fn bisection_guess(target : Double, f : (Double) -> Double, min_range : Double, max_range : Double, max_iterations? : Int, tol? : Double, monotonicity : String) -> Double?

    dawsn

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    fn dawsn(x : Double) -> Double

    Dawson's integral.

    digamma

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    fn digamma(x : Double) -> Double

    ellipe

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    fn ellipe(m : Double) -> Double

    Complete elliptic integral of the second kind E(m)

    ellipeinc

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    fn ellipeinc(phi : Double, m : Double) -> Double

    Incomplete elliptic integral of the second kind F(phi, m)

    ellipj

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    fn ellipj(u : Double, m : Double) -> (Double, Double, Double, Double)

    Jacobian elliptic functions sn, cn, dn and amplitude am Similar to SciPy's ellipj function

    Parameters:
    • u: argument
    • m: parameter (0 <= m < 1)

    Returns: (sn, cn, dn, phi) where phi is the amplitude

    ellipk

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    fn ellipk(m : Double) -> Double

    Complete elliptic integral of the first kind K(m)

    ellipkinc

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    fn ellipkinc(phi : Double, m : Double) -> Double

    Incomplete elliptic integral of the first kind F(phi, m)

    erf

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    fn erf(x : Double) -> Double

    Returns the error function of argument.

    erfc

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    fn erfc(x : Double) -> Double

    Complementary error function, 1 - erf(x).

    erfcinv

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    fn erfcinv(y : Double) -> Double

    Inverse of the complementary error function.

    erfcx

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    fn erfcx(x : Double) -> Double

    Scaled complementary error function, exp(x**2) * erfc(x).

    erfinv

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    fn erfinv(x : Double) -> Double

    Inverse of the error function.

    fresnel

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    fn fresnel(x : Double) -> (Double, Double)

    Fresnel integrals.

    func_inv

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    fn func_inv(target : Double, f : (Double) -> Double, d : (Double) -> Double, initial_guess : Double, max_iterations? : Int, tol? : Double) -> Double?

    Calculates the inverse of a function

    gamma

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    fn gamma(x : Double) -> Double

    gammainc

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    fn gammainc(a : Double, x : Double) -> Double

    gammaincinv

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    fn gammaincinv(a : Double, y : Double) -> Double

    gammaln

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    fn gammaln(x : Double) -> Double

    gammasgn

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    fn gammasgn(x : Double) -> Double

    poch

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    fn poch(z : Double, m : Double) -> Double

    polygamma

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    fn polygamma(n : Int, x : Double) -> Double

    rgamma

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    fn rgamma(x : Double) -> Double

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