Here's your bin search. Worst case time for the search (not counting the splicing): O(log N)
sub compare {
$a cmp $b
}
sub binsearch {
# Returns the index of the position before
# the one where $s would be found, when $s
# is not found.
my ($f, $s, $list) = @_;
my $i = 0;
my $j = $#$list;
my $k;
my $c;
$a = $s;
for (;;) {
$k = int(($j-$i)/2) + $i;
$b = $list->[$k];
$c = &$f();
return $k if ($c == 0);
if ($c < 0) {
$j = $k-1;
return $j if ($i > $j);
} else {
$i = $k+1;
return $k if ($i > $j);
}
}
}
@a = qw( z b x c y a );
@b = qw( o m n );
@a = sort compare @a;
@b = sort compare @b;
splice(@a, binsearch(\&compare, $b[0], \@a)+1, 0, @b);
print(@a); # abcmnoxyz
Of course, in your case, it will be
splice(@known, binsearch(\&byIndex, $newValue, \@known)+1, 0, $newValue);
Update: Passing array to binsearch using a reference now. oops!
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