** ERROR: no parameters were specified to binomcalc.pl

binomcalc.pl -- extreme precision binomial calculator
by Dave Burton  (version 92, 29-Apr-2023)

Note: you can rename this program to binomcalc.cgi and use it from a web page, via a
"server-side include," as in this example:

  <!--#INCLUDE VIRTUAL="/cgi-bin/binomcalc.cgi?n=12&k=3&p=1/2" -->

That does the same calculation as this command:

  c:\> perl -f binomcalc.pl n=12 k=3 p=1/2

The following command-line parameters are supported:

 n={integer}   (REQUIRED: the n of 'n choose k')
 k={integer}   (REQUIRED: the k of 'n choose k')
 p={probability} (decimal value 0..1, e.g., 0.5, or a fraction, e.g., 1/3)
 m={b, cu, acu, co} (b = binomial probability, cu = cumulative probabilities,
                acu = all cumulative probabilities, co = coefficient only)
 a={q, s, h, x, xx} (q = quick/scalar = default, s is slower w/ extreme precision,
                h = hybrid, x and xx are experimental [don't use them])
 o={h, t, p}   (output: h = html, t = text, p = <pre>, default determined by context)
 t=nnn         (timeout limit, nnn seconds; default = 0 for no timeout)
 b=1           (benchmark it; show timings)
 d={integer}   (digits of accuracy: default for a=s is 500; for a=q it's about 13)
 v={integer}   (verbosity; 0 = no debug prints, 1 = some, 2 = lots)

Other notes:
1. Default mode is m=b (calculate binomial probability).
2. Default accuracy setting is a=q, which is fastest. For higher accuracy use a=s.
   The x and xx (experimental) settings are usually slower and not as good.
