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Verify distribution uniformity/Naive: Difference between revisions
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=={{header|REXX}}==
<lang rexx>/*REXX
parse arg f t d s . /*obtain arguments (options) from C.L. */
if f=='' | f==
if t=='' | t==
if d=='' | d==
if s\=='' then call random ,,s /*use some RAND seed for repeatability.*/
highDig=9 /*use this var for the highest digit. */
!.=0 /*initialize all possible random trials*/
do t /* [↓] perform a bunch of trials. */
if f=='RANDOM' then ?=random(0,highDig)
else interpret '?='f"(0,"highDig')'
!.?=!.?+1
end /*t*/ /* [↑] store trials ───► pigeonholes. */
/* [↓] compute the digit's skewness. */
g=t / (1+highDig) /*calculate number of each digit throw.*/
OK?= 'OK skewed' /*words to show "skewed" or if "OK".*/
w=max(8, length(t)) /*maximum length of number of trials.*/
pad=left('', 9) /*this is used for output indentation. */
say pad 'digit' center("hits",w) ' skew ' "skew%" 'result' /*header. */
say pad '─────' center('',w,'─') '──────' "─────" '──────' /*separator.*/
/** [↑] show header and the separator.*/
do k=0 to highDig /*process each of the possible digits. */
skew=g-!.k /*calculate the skew for the digit. */
skewPC=(1- (g-abs(skew)) / g) * 100 /* " " " percentage for dig*/
ok=center(word(ok?, 1 + (skewPC>d)), 6) /*it's gotta be one of skewed or xx%*/
say pad center(k,5) right(!.k,w) right(skew,6) format(skewPC,,3) ok
end /*k*/
say pad '─────' center('',w,'─') '──────' "─────" '──────' /*separator. */
y=5+1+w+1+6+1+6+1+6 /*the width. */
say pad center(" (with " t ' trials)',y) /*# trials. */
say pad center(" (skewed when exceeds " d'%)',y) /*skewed note.*/
/*stick a fork in it, we're all done. */</lang>
Execution note: quite a few runs were needed and the skew% lowered before a skewed result was obtained.
<br><br>
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