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{{alias}}( p, a[, upper] )
Computes the inverse of the lower incomplete gamma function.
In contrast to a more commonly used definition, the first argument is the
probability `p` and the second argument is the scale factor `a`.
By default, the function inverts the lower regularized incomplete gamma
function, `P(x,a)`. To invert the upper function `Q(x,a)`, set the `upper`
argument to `true`.
If provided `NaN` as any argument, the function returns `NaN`.
If provided `p < 0` or `p > 1`, the function returns `NaN`.
Parameters
----------
p: number
Probability.
a: number
Scale parameter.
upper: boolean (optional)
Boolean indicating if the function should invert the upper tail of the
incomplete gamma function; i.e., compute `xr` such that `Q(a,xr) = p`.
Default: `false`.
Returns
-------
y: number
Function value.
Examples
--------
> var y = {{alias}}( 0.5, 2.0 )
~1.678
> y = {{alias}}( 0.1, 10.0 )
~6.221
> y = {{alias}}( 0.75, 3.0 )
~3.92
> y = {{alias}}( 0.75, 3.0, true )
~1.727
> y = {{alias}}( 0.75, NaN )
NaN
> y = {{alias}}( NaN, 3.0 )
NaN
See Also
--------
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