Probably not my best obfuscation, but I'm proud of some parts of it. Takes a fraction as an argument and returns the egyptian fraction for that number.

For example:


clark:~/Desktop jim$ ./egypt.pl 19/20
19/20 = 1/2 + 1/3 + 1/9 + 1/180

clark:~/Desktop jim$ ./egypt.pl 18/20
18/20 = 1/2 + 1/3 + 1/15

[download]

sub egypt {my$f=2;do{return(--$f,egypt($_[0]/$f))unless$_[0]%$f++}
while$_[0]>1}print"$ARGV[0] = ",join(' + ',pharaoh(hiero(split '/',
$ARGV[0]))),"\n";sub hiero{my(%nf,%df);$nf{$_}++for egypt(shift);++
$df{$_}for egypt(shift);do{($df{$_},$nf{$_})=($df{$_}-$nf{$_},$nf{$_}
-$df{$_})if$df{$_}}for keys%nf;return(eval join('*',1,(map{($_)x
$nf{$_}}keys%nf)),eval join('*',1,(map{($_)x$df{$_}}keys%df)))}sub
pharaoh {return$_[0]==1?"$_[0]/$_[1]":("1/".(int($_[1]/$_[0])+1),
pharaoh(hiero($_[0]*(int($_[1]/$_[0])+1)-$_[1],$_[1]*(int($_[1]/
$_[0])+1))))}

[download]
<Reveal this spoiler or all in this thread>

In reply to Egyptian fractions by jimt

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