>lazy evaluation is one of those features where i have absolutely no idea what benefit it actually provides
Good question.
Let's say you have a program like this little python example:
inputs = [raw_read() for i in range(1000)] # Read numbers from command line
numbers = map(int, inputs) # Turn them into integers
for num in numbers: # Check for 42
if num == 42:
return true
return false # It's not there
If you use lazy evaluation, each item in the "map" object will only be calculated as needed. So if the first item in the "inputs" list is "42", it will only do a single string-to-integer conversion.
If you use greedy evaluation, it will map all strings to integers at once, which might be wasteful.
There are other benefits as well; this is the most obvious.
Lazy evaluation gets you all that, with no extra code, all the time.
Imagine writing that iterator stuff for every single applicable thing in the entire program. There are also other places where lazy evaluation is useful and you can't use iterators, like a function that will only use a portion of its arguments depending on some condition.
This is nothing too interesting, but now let's say you want to write a function to find the minimum value of a list
In Python, this would probably be done like this:
def min_list(lst):
current_minimum = lst[0]
for e in lst[1:]:
if e < current_minimum:
current_minimum = e
return current_minimum
However, in Haskell, a very similar procedure can be defined like this:
minimum xs = head (quicksort xs)
(head returns the first element of a list)
Now, if have the slightest care for efficiency, you would never, ever write a function like this in a strict language.
However, in Haskell, minimum [5,2,7,1,3] would be evaluated like this:
> minimum [5,2,7,1,3]
> head (quicksort [5,2,7,1,3])
Now, head 'demands' one element from quicksort, so quicksort would start getting evaluated
> head (lesser ++ ...) [p = 5]
(++) is nonstrict, and only evaluates the elements you really need. Since right now only one element is demanded, we
can expect that nothing to the right of (++) would be evaluated
> head ((quicksort (filter (<5) [2,7,1,3]) ) ++ ...)
Now filter is also lazy, and it will only evaluate elements as needed. Right now, only one element is demanded by
quicksort(notice the (p:xs) in the definition. quicksort only cares about the 'p' right now)
Now, quicksort demands another element from filter (<2) ..., so filter (<5) runs until it finds the first element that
is also (<2)
> head ((quicksort (1:(filter (<2) (filter (<5) [3] ++ ...))
) ++ ...) ++ ...)
Filter will run through the entire list, comparing each element to 5,2 and 1 in order, and find nothing, returning [], which will hit the base case for quicksort []= []
> head ( [] ++ [1] ++ ...)
Simplifying to
> head ([1] ++ ...)
(++) has enough evaluated elements to give '1' to head, which finally returns
> 1
Notice that we passed through the list only once, just like in the python, in contrast to running an entire quicksort. While this is not as efficient as the python version as it keeps a few unnessary elements in memory, and compares elements to all previously found minimums, it is much more efficient than evaluating quicksort, and is pretty damn cool. With some GHC magic, the memory usage is also reduced somewhat.
I personally believe that the expressiveness gained through this procedure(we wrote quicksort and gained minimum for free!) offsets the loss in efficiency.
|| and && operators in C-like languages are "short-circuited", i.e. (true || predicate) just returns (true) without evaluating (predicate). This is a form of lazy evaluation.
lazy evaluation is one of those features where i have absolutely no idea what benefit it actually provides