Consider a simple function that adds the first N natural numbers. (e.g. sum(5) = 0 + 1 + 2 + 3 + 4 + 5 = 15
).
Here is a simple JavaScript implementation that uses recursion:
function recsum(x) {
if (x === 0) {
return 0;
} else {
return x + recsum(x - 1);
}
}
If you called recsum(5)
, this is what the JavaScript interpreter would evaluate:
recsum(5)
5 + recsum(4)
5 + (4 + recsum(3))
5 + (4 + (3 + recsum(2)))
5 + (4 + (3 + (2 + recsum(1))))
5 + (4 + (3 + (2 + (1 + recsum(0)))))
5 + (4 + (3 + (2 + (1 + 0))))
5 + (4 + (3 + (2 + 1)))
5 + (4 + (3 + 3))
5 + (4 + 6)
5 + 10
15
Note how every recursive call has to complete before the JavaScript interpreter begins to actually do the work of calculating the sum.
Here's a tail-recursive version of the same function:
function tailrecsum(x, running_total = 0) {
if (x === 0) {
return running_total;
} else {
return tailrecsum(x - 1, running_total + x);
}
}
Here's the sequence of events that would occur if you called tailrecsum(5)
, (which would effectively be tailrecsum(5, 0)
, because of the default second argument).
tailrecsum(5, 0)
tailrecsum(4, 5)
tailrecsum(3, 9)
tailrecsum(2, 12)
tailrecsum(1, 14)
tailrecsum(0, 15)
15
In the tail-recursive case, with each evaluation of the recursive call, the running_total
is updated.
Note: The original answer used examples from Python. These have been changed to JavaScript, since Python interpreters don't support tail call optimization. However, while tail call optimization is part of the ECMAScript 2015 spec, most JavaScript interpreters don't support it.
There are several differences between HashMap
and Hashtable
in Java:
Hashtable
is synchronized, whereas HashMap
is not. This makes HashMap
better for non-threaded applications, as unsynchronized Objects typically perform better than synchronized ones.
Hashtable
does not allow null
keys or values. HashMap
allows one null
key and any number of null
values.
One of HashMap's subclasses is LinkedHashMap
, so in the event that you'd want predictable iteration order (which is insertion order by default), you could easily swap out the HashMap
for a LinkedHashMap
. This wouldn't be as easy if you were using Hashtable
.
Since synchronization is not an issue for you, I'd recommend HashMap
. If synchronization becomes an issue, you may also look at ConcurrentHashMap
.
Best Answer
I can't say which approach will be used, but it's better-explained in Project Loom's proposal:
As far as I've heard, work has not yet begun on tail calls, as Fibers and Continuations seem to currently be a higher priority.