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Ingy döt Net 2023-07-01 11:58:00 -04:00
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#NoTeS: This sample code does not validate inputs
# Thus, if there are errors the 'scary' red-text
# error messages will appear.
#
# This code will not work properly in floating point values of n,
# and negative values of A.
#
# Supports negative values of n by reciprocating the root.
$epsilon=1E-10 #Sample Epsilon (Precision)
function power($x,$e){ #As I said in the comment
$ret=1
for($i=1;$i -le $e;$i++){
$ret*=$x
}
return $ret
}
function root($y,$n){ #The main Function
if (0+$n -lt 0){$tmp=-$n} else {$tmp=$n} #This checks if n is negative.
$ans=1
do{
$d = ($y/(power $ans ($tmp-1)) - $ans)/$tmp
$ans+=$d
} while ($d -lt -$epsilon -or $d -gt $epsilon)
if (0+$n -lt 0){return 1/$ans} else {return $ans}
}
#Sample Inputs
root 625 2
root 2401 4
root 2 -2
root 1.23456789E-20 34
root 9.87654321E20 10 #Quite slow here, I admit...
((root 5 2)+1)/2 #Extra: Computes the golden ratio
((root 5 2)-1)/2