- I want an efficient subroutine that inserts $elt into @x and returns

the percentile of $elt in @x.

For example, if @x is (2,2,3,3,3,4,5,6,7,8) and $elt is 3, the

subroutine returns .363636... and @x is now

(2,2,3,3,3,3,4,5,6,7,8). Why .363636...?:

% After insertion, @x has 11 elements. $elt (3) beats 2 of those

elements and ties 4 (including itself). Ties count as half-wins, so

the new element beats 2+(4/2) or 4 elements, and 4/11 is .3636...

Below is one way to do it. I'd turn it into a subroutine if I wanted

to use it, but it's really inefficient. If I insert 100 elements and

want the percentile of each as its inserted, it has to do something

like 50K comparisons. The subroutine's also ugly, but ignore that.

I'm guessing a subroutine that maintained a sorted list would work

much better.

My ugly inefficient solution:

@mylist = (2,2,3,3,3,4,5,6,7,8);

$elt = 3;

push(@mylist,$elt); #insert the element first

for $i (@mylist) {

if ($elt>$i) {$win++; next} # how many times does $elt beat list values

if ($elt<$i) {$lose++; next} # how many times does $elt lose to list value

$tie++; # ties count as half-wins, including the element I just inserted

}

print "WIN: $win, TIE: $tie, LOSE: $lose\n";

# could use $#mylist+1 for denominator below; 1. is to force floating point

print 1.*($win+$tie/2)/($win+$lose+$tie);

print "\n";

--

We're just a Bunch Of Regular Guys, a collective group that's trying

to understand and assimilate technology. We feel that resistance to

new ideas and technology is unwise and ultimately futile. - On Sat, Oct 11, 2008 at 12:31 PM, Kelly Jones

<kelly.terry.jones@...>wrote:

> I want an efficient subroutine that inserts $elt into @x and returns the

I'd agree.

> percentile of $elt in @x.

>

> For example, if @x is (2,2,3,3,3,4,5,6,7,8) and $elt is 3, the subroutine

> returns .363636... and @x is now (2,2,3,3,3,3,4,5,6,7,8). Why .363636?

>

> After insertion, @x has 11 elements. $elt (3) beats 2 of those elements and

> ties 4 (including itself). Ties count as half-wins, so the new element beats

> 2+(4/2) or 4 elements, and 4/11 is .3636...

>

> Below is one way to do it. I'd turn it into a subroutine if I wanted to use

> it, but it's really inefficient. If I insert 100 elements and want the

> percentile of each as its inserted, it has to do something like 50K

> comparisons. The subroutine's also ugly, but ignore that.

>

> I'm guessing a subroutine that maintained a sorted list would work much

> better.

>

> @mylist = (2,2,3,3,3,4,5,6,7,8);

It's not THAT ugly, although keeping the array sorted would be very

> $elt = 3;

> push(@mylist,$elt); #insert the element first

>

> for $i (@mylist) {

> if ($elt>$i) {$win++; next} # how many times does $elt beat list values

> if ($elt<$i) {$lose++; next} # how many times does $elt lose to list value

> $tie++; # ties count as half-wins, including the element I just inserted

> }

>

> ($win+$tie/2)/($win+$lose+$tie);

>

helpful. You needn't keep track of the number of $lose, because you don't

need $win + $lose + $tie (the size of the array): the size of the array can

be gotten from the array itself in scalar context, as my function below

shows.

my @numbers = (1,2,5,5,8,9,9,9,9,10);

my $next = 5;

my $pct = insert_and_get_percentile(\@numbers, $next); # pass @numbers by

reference

# assumes that the input list is ALREADY SORTED

sub insert_and_get_percentile {

my ($data, $n) = @_;

my $score = 0;

push @$data, $n; # $n, the new value, is now at the END of the array

# an old-school for loop for going through the data

for (my $i = 0; $i < @$data; $i++) {

# if data[x] is less than the new value add 1

$score++ if $data->[$i] < $n;

# if data[x] is equal to the new value, add 1/2

$score += 0.5 if $data->[$i] == $n;

# if data[x] is greater than the new value:

# a) add 1/2 (for the new value itself),

# b) move the new value to right before data[x] (via pop() and

splice()),

# c) and stop looping through the array

$score += 0.5, splice(@$data, $i, 0, pop @$data), last if $data->[$i]> $n;

}

return $score / @$data;

}

--

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