time-to-botec

Benchmark sampling in different programming languages
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repl.txt (1626B)


      1 
      2 {{alias}}( x, μ, s )
      3     Evaluates the natural logarithm of the cumulative distribution function
      4     (CDF) for a raised cosine distribution with location parameter `μ` and scale
      5      parameter `s` at a value `x`.
      6 
      7     If provided `NaN` as any argument, the function returns `NaN`.
      8 
      9     If provided `s < 0`, the function returns `NaN`.
     10 
     11     Parameters
     12     ----------
     13     x: number
     14         Input value.
     15 
     16     μ: number
     17         Location parameter.
     18 
     19     s: number
     20         Scale parameter.
     21 
     22     Returns
     23     -------
     24     out: number
     25         Evaluated logCDF.
     26 
     27     Examples
     28     --------
     29     > var y = {{alias}}( 2.0, 0.0, 3.0 )
     30     ~-0.029
     31     > y = {{alias}}( 9.0, 10.0, 3.0 )
     32     ~-1.632
     33 
     34     > y = {{alias}}( 2.0, 0.0, NaN )
     35     NaN
     36     > y = {{alias}}( 2.0, NaN, 1.0 )
     37     NaN
     38     > y = {{alias}}( NaN, 0.0, 1.0 )
     39     NaN
     40 
     41     // Degenerate distribution centered at `μ` when `s = 0.0`:
     42     > y = {{alias}}( 2.0, 8.0, 0.0 )
     43     -Infinity
     44     > y = {{alias}}( 8.0, 8.0, 0.0 )
     45     0.0
     46     > y = {{alias}}( 10.0, 8.0, 0.0 )
     47     0.0
     48 
     49 
     50 {{alias}}.factory( μ, s )
     51     Returns a function for evaluating the natural logarithm of the  cumulative
     52     distribution function (CDF) of a raised cosine distribution with location
     53     parameter `μ` and scale parameter `s`.
     54 
     55     Parameters
     56     ----------
     57     μ: number
     58         Location parameter.
     59 
     60     s: number
     61         Scale parameter.
     62 
     63     Returns
     64     -------
     65     logcdf: Function
     66         Logarithm of cumulative distribution function (CDF).
     67 
     68     Examples
     69     --------
     70     > var mylogcdf = {{alias}}.factory( 3.0, 1.5 );
     71     > var y = mylogcdf( 1.9 )
     72     ~-4.2
     73 
     74     See Also
     75     --------
     76