
{{alias}}( x, x0, Ɣ )
    Evaluates the probability density function (PDF) for a Cauchy distribution
    with location parameter `x0` and scale parameter `Ɣ` at a value `x`.

    If provided `NaN` as any argument, the function returns `NaN`.

    If provided `Ɣ <= 0`, the function returns `NaN`.

    Parameters
    ----------
    x: number
        Input value.

    x0: number
        Location parameter.

    Ɣ: number
        Scale parameter.

    Returns
    -------
    out: number
        Evaluated PDF.

    Examples
    --------
    > var y = {{alias}}( 2.0, 1.0, 1.0 )
    ~0.159
    > y = {{alias}}( 4.0, 3.0, 0.1 )
    ~0.0315
    > y = {{alias}}( 4.0, 3.0, 3.0 )
    ~0.095
    > y = {{alias}}( NaN, 1.0, 1.0 )
    NaN
    > y = {{alias}}( 2.0, NaN, 1.0 )
    NaN
    > y = {{alias}}( 2.0, 1.0, NaN )
    NaN

    // Negative scale parameter:
    > y = {{alias}}( 2.0, 1.0, -2.0 )
    NaN


{{alias}}.factory( x0, Ɣ )
    Returns a function for evaluating the probability density function (PDF) of
    a Cauchy distribution with location parameter `x0` and scale parameter `Ɣ`.

    Parameters
    ----------
    x0: number
        Location parameter.

    Ɣ: number
        Scale parameter.

    Returns
    -------
    pdf: Function
        Probability density function (PDF).

    Examples
    --------
    > var myPDF = {{alias}}.factory( 10.0, 2.0 );
    > var y = myPDF( 10.0 )
    ~0.159

    See Also
    --------

