OCaml vs. C++ for Dynamic Programming
jcr13 writes "OCaml is nearly as fast (or sometimes even faster) than C, right? At least according to the Computer Language Shootout [alternate] (OCaml supporters often point to these shootout results). My results on a real-world programming problem (optimizing a garden layout using dynamic programming) disagree. On one particular problem instance (a garden of size 7x3), my C++ implementation finished in 1 second, while the OCaml implementation was still running after 16 minutes. Bear in mind that my OCaml implementation was dramatically faster than my equivalent Haskell code. It seems that if you program using a functional style in OCaml (which I did, using map, filter, and other recursive structures in place of loops), it is quite slow. However, most of the shootout OCaml programs rely heavily on OCaml's imperative features (unlike Haskell, OCaml doesn't force you to be a functional purist). If you write OCaml code that is isomorphic to C code, it will be fast---what about if you use OCaml the way it was meant to be used?"
That difference is so dramatic that I wonder if you made a mistake in your functional implementation? Or is there something specific about your dynamic program that makes trouble?
Dynamic programming depends basically on memoization (not "memorization", before someone complains about my typo) which inherently means preserving some state. If you don't preserve state, it becomes a good old, likely exponential time, recursive program. Any chance your implementation is not memoizing?
You know I've implemented some real world applications recently for a contract job, and the Ocaml applications are actually faster than the C++ equivalents using the STL. So you mileage may vary based on your problem set (or Ocamlfu as the case may be). As for how Ocaml is supposed to be programmed, there's a reason Ocaml supports imperative programming, because you should use the form that is most efficient for your problem. Some programs benefit from a functional approach (and it helps if you implement properly tailrecursive functions, and make intelligent use of arrays and other block data structures). So one can argue Ocaml is not particularly functional, because it more pragmatically allows for multiple styles of programming. You can do functional programming in C++ actually, but depending on the optimizer you end up with stack issues. My experience with maintaining and extending the Ocaml programs over large C++ code bases is a world of difference. Ocaml wins hands down. Even extending the language to support 3rd party libraries, doesn't place sufficient barriers to maintenance. But ymmv... as with all things.
I'd like to see the Haskell sources for comparison.
http://minorgems.sf.net/Haskell.hs doesn't exist, though the the C++ and OCaml code are there.
Shae Erisson - ScannedInAvian.com
Usings lists in all circumstances because its functional is not appropriate. Show the ocaml implementation using arrays or an c++ implementation using linked lists for a valid comparision.
The strength of Ocaml is the flexibility it provides to a developer. If your solution is more elegantly coded using imperative constructs, then use them!In the same kind of vein, has the code been profiled? I'd quite like to see where the time is going.
I know you think you're joking, but you're actually right -- that's what the good programmers do. In my application, the performance critical routines (on the order of a dozen or so) are hand coded in vector assembler (Altivec on Mac, and MMX and SSE on Intel), and are about 3 to 4 times faster than the most optimized C or C++ implementation of those algorithms. If you have code that is vectorizable, and especially if it is doing saturated small integer math, (blending, resampling etc), you can do way better than any existing compilers by hand coding in assembler.
Ian Ameline
Can we see your Haskell code?
Haskell is not known for raw speed, but dynamic programming is probably the one thing it does well, thanks to lazy evaluation. You fill a CAF with unevaluated function calls, and the language engine does the rest. It won't be as fast as the hand-crafted C++ version, most likely, but if your O'Caml code is anything to go by, it might be able to be improved.
sub f{($f)=@_;print"$f(q{$f});";}f(q{sub f{($f)=@_;print"$f(q{$f});";}f});
One of the joys of programming in ML is that you can write most of your code in a really nice, functional way, and (if necessary) put in the effort to write a tight inner loop, perhaps in an imperative style for speed. I don't see this as a disadvantage, and ML compilers often do a better job of optimizing such loops than C compilers, in part because of more information being available in the type system. (And if they don't, it's trivial to invoke C subroutines.) Also, if performance is really an issue, you might try mlton (which is for SML, very similar to Caml); its whole-program approach often produces significantly better code than O'Caml.
However, as an every-day ML user I find it very unlikely that your program would be a thousand times slower if you're using it "the way it's meant to be used." I am guessing that your implementation is asymptotically worse, since using map and fold correctly should really only be a constant factor slower than C, at worst. (mlton can often inline and optimize these into essentially the same code you'd write in C!) How about posting your code?
Ironically, the OCaml version posted uses a list rather than a hash table. I'm busy making dinner right now, but I'm certainly interested in seeing if that can be improved upon.
Perhaps this is a case of problem solving by public contradiction?
I Browse at +4 Flamebait
Open Source Sysadmin
You should use the Buffer module, or String.concat:If there is a lot of those mistake, no wonder it is so slow...
I see nothing wrong in your C++ version, while your ocaml version clearly sucks: you are memoizing using a complex key, and an association list, meaning that accessing memoized information costs a lot.
e n2.ml
If you are concerned by performance, you should use a complete cache, like in your C version.
FYI, I uploaded an ocaml translation of your C code. It doesn't use mutable state except for memoizing, and uses pattern-matching on lists, and recursion rather than for loops, but otherwise it follows closely your code. Performance should be very similar.
http://wwwfun.kurims.kyoto-u.ac.jp/~garrigue/gard
> Here's a laundry list of why your O'Caml program in inefficient:
>
> 1. You use lists. Lists aren't designed to be fast (computationally)
> to use. They're designed to be fast (programmatically) to use. You'll
> be hard pressed to find a production, speed-sensitive Lisp or O'Caml
> program that uses lists.
Okay... but here's my point: Every single example that shows how elegant Haskell and OCaml are uses lists. The 4-line Quicksort example for Haskell uses lists. All of the code that demonstrates easy reuse of functions and functions taken as arguments uses lists (like how easy it is to implement quite complicated algorithms using only map and filter, for example).
So, proponents say "Everyone should use functional languages because they can express complicated problems in elegant ways and result in cleaner, more reusable code."
But what you're saying in #1 above is that in "production," speed-sensitive code, no one is using lists... this would mean that no one is using map, filter, or any other pieces of reusable primitive code. So, they are instead all using mutable data structures... I.e., they are programming with side-effects and loops (random access instead of recursion, even when ever element of an array/list needs to be accessed/processed).
That was my point exactly. If you write elegant OCaml code using all of the lovely (and I mean lovely, really) tricks that they present when they demonstrate why OCaml is cool, you end up with code that is too slow to use in the real world.
I would say that my C++ (or most would call it C) implementation is elegant enough... easy to understand... no messy optimization tricks. Sure, I'm not using objects and templates everywhere, but these structures are hardly needed to solve this simple problem.
> 2. Practically none of your functions are written tail-recursively.
Good point.
> 2.5. You use a list append (@) inside a loop (generateStates).
> List.append is O(m), where m is the length of its first argument. If
> you write an implementation, you'll see why. It probably doesn't make
> much of a difference here (generateStates is only called once) but it's
> something to watch out for.
Of course, as you point out, generateStates has almost no effect on the running time. However, I wonder how you might implement that in an elegant way in OCaml without @. In C, I just looped over all numbers between 0 and 2^stateLength and converted the bit representations for the numbers to cell on/off states.
> 3. For Pete's sake, man, you're using an association list for your
> memos! Surely you know that lookup in an association list is O(n) in
> the size of the list.
I simply Googled for "memoization Ocaml" and found that code:
http://www.emeraldtiger.net/modules.php?op= modload &name=News&file=article&sid=9
The author pointed out how "sweet" polymorphism is... one block of code that can be used to memoize any function. Sweet indeed, and it certainly sped up my OCaml code a lot (without memoization, it was so slow as to be intractable for anything larger than about 4x4).
So... maybe you can re-write higher-order memoization code using more efficient data structures? I would love to see that code, and I'm sure the OCaml community would benefit from having that in their toolbox.
I agree that the memoization code is probably the problem in the OCaml version. However, this code came directly from the OCaml community and was the *only* example of memoization in OCaml that I could find.
For Haskell, I used an infinite list of results that was filled in lazily as the results were needed. This also sped up the algorithm dramatically. However, I cannot get a Haskell compiler to compile itself on my platform, so I was testing all code in the Hugs interpreter, which made it too slow to be practical. Isomorphic compiled OCaml code was hundreds of times fast
Have you considered updating that web page - keep the content you have there now, but possibly tack on some of the feedback from here that shows that yes, a very, very bad implementation of an algorithm will run slowly, regardless of the language. It would be a shame of someone ran across the page seeking a realistic comparison, and didn't look deep enough to realize that this "study" is basically the equivalent of comparing the gas mileage of two makes of automobile without informing the readers that one car had a semi-truck chained to the back of it during the trials.
If you want to program in a functional style, and you need lazy evaluation, you're going to find the standard library that comes with the compiler somewhat limited.
I wrote some extensions for programming in OCaml in the functional style. Check out the OCaml NAE project, and look for the Core Foundation (Cf) package.
jhw
That's a very important point, and I think the effect of the community around a programming language (or indeed a whole paradigm -- functional, OOP, etc.) is often underestimated.
Just look at PERL: it has its merits, but in fairness clarity to newcomers is rarely listed as one of them. And yet, because asking a question on a PERL group tends to result in joyous cries of "TMTOWTDI" followed by an enthusiastic discussion of the relative merits of 17 different ways to solve your problem, even the most unaware newbie is likely to find help and education simply by asking politely.
In contrast, some languages (C and C++, for example) tend to invite technical perfectionists, who are happy to help but only if you're Doing Things Properly(TM). Others (functional languages, LISP dialects, etc.) tend to have quite academic communities, whose response to newbies, sadly, can be less than welcoming.
Now, take a look at those languages I listed, and ask yourself which ones have been the bigger success stories...
If you disagree, post your argument. (-1, Overrated) isn't your personal censorship tool for views you don't like.