time-to-botec

Benchmark sampling in different programming languages
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repl.txt (1633B)


      1 
      2 {{alias}}( p, μ, σ )
      3     Evaluates the quantile function for a lognormal distribution with location
      4     parameter `μ` and scale parameter `σ` at a probability `p`.
      5 
      6     If `p < 0` or `p > 1`, the function returns `NaN`.
      7 
      8     If provided `NaN` as any argument, the function returns `NaN`.
      9 
     10     If provided `σ <= 0`, the function returns `NaN`.
     11 
     12     Parameters
     13     ----------
     14     p: number
     15         Input probability.
     16 
     17     μ: number
     18         Location parameter.
     19 
     20     σ: number
     21         Scale parameter.
     22 
     23     Returns
     24     -------
     25     out: number
     26         Evaluated quantile function.
     27 
     28     Examples
     29     --------
     30     > var y = {{alias}}( 0.8, 0.0, 1.0 )
     31     ~2.32
     32     > y = {{alias}}( 0.5, 4.0, 2.0 )
     33     ~54.598
     34     > y = {{alias}}( 1.1, 0.0, 1.0 )
     35     NaN
     36     > y = {{alias}}( -0.2, 0.0, 1.0 )
     37     NaN
     38 
     39     > y = {{alias}}( NaN, 0.0, 1.0 )
     40     NaN
     41     > y = {{alias}}( 0.0, NaN, 1.0 )
     42     NaN
     43     > y = {{alias}}( 0.0, 0.0, NaN )
     44     NaN
     45 
     46     // Non-positive scale parameter `σ`:
     47     > y = {{alias}}( 0.5, 0.0, -1.0 )
     48     NaN
     49     > y = {{alias}}( 0.5, 0.0, 0.0 )
     50     NaN
     51 
     52 
     53 {{alias}}.factory( μ, σ )
     54     Returns a function for evaluating the quantile function of a lognormal
     55     distribution with location parameter `μ` and scale parameter `σ`.
     56 
     57     Parameters
     58     ----------
     59     μ: number
     60         Location parameter.
     61 
     62     σ: number
     63         Scale parameter.
     64 
     65     Returns
     66     -------
     67     quantile: Function
     68         Quantile function.
     69 
     70     Examples
     71     --------
     72     > var myQuantile = {{alias}}.factory( 4.0, 2.0 );
     73     > var y = myQuantile( 0.2 )
     74     ~10.143
     75     > y = myQuantile( 0.8 )
     76     ~293.901
     77 
     78     See Also
     79     --------
     80