
{{alias}}( x, x0, Ɣ )
    Evaluates the natural logarithm of the probability density function (logPDF)
    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
        Natural logarithm of PDF.

    Examples
    --------
    > var y = {{alias}}( 2.0, 1.0, 1.0 )
    ~-1.838
    > y = {{alias}}( 4.0, 3.0, 0.1 )
    ~-3.457
    > y = {{alias}}( 4.0, 3.0, 3.0 )
    ~-2.349
    > 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 natural logarithm of the probability
    density function (logPDF) of a Cauchy distribution with location parameter
    `x0` and scale parameter `Ɣ`.

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

    Ɣ: number
        Scale parameter.

    Returns
    -------
    logpdf: Function
        Function to evaluate the natural logarithm of the PDF.

    Examples
    --------
    > var mylogPDF = {{alias}}.factory( 10.0, 2.0 );
    > var y = mylogPDF( 10.0 )
    ~-1.838

    See Also
    --------

