Dividing a Merge Sort algorithm in multiple threads - java

I am planning on building a Merge Sorting algorithm that uses multiple threads in Java, and I've looked around the Internet and SO (Multi-threading a merge sorting algorithm for example) but I can't seem to settle on an answer to some of my questions.
First of all, would the optimal number of threads created be the same as the number of cores of the CPU? Should I even consider logical cores when considering number of threads?
Second, what is the best way of implementing multi-threading in such an algorithm? I've heard there is more than one way of doing it (like inheriting from the "Thread" class or using implements Runnable, etc.).
Also, would using ArrayLists or LinkedLists be a better choice in this case, in terms of optimisation?
Any other notes/suggestions concerning the implementation are appreciated.
Cheers.

In Java 8, there is Arrays.parallelSort() which is also used by the Stream API if you request parallelism with parallelStream. The source to parallelSort should be pretty informative if you're looking into this for educational purposes.

...would the optimal number of threads created be the same as the number of cores of the CPU?
I would assume so. A merge sort should be memory bandwidth limited, not cpu bandwidth limited. The main gain from multi-threading early on would take advantage of each core's local cache, typically level 1 and level 2 cache. Usually level 3 cache is shared between cores, so the only gain there is if the merge process is relatively CPU bound compared to the speed of the level 3 cache. Once run sizes get large enough to exceed cache limits, then I'm not sure there's much to be gained from multi-threading.
Microsoft's stable_sort begins by using insertion sort to create sorted groups of 32 elements, probably to take advantage of local cache. I'm not sure if that really helps or not on current processors, since it's based on code written in 1994.

Related

Phaser Class and Tiering

According to the javadoc, in Phaser class,
Phasers may be tiered (i.e., constructed in tree structures) to reduce contention. Phasers with large numbers of parties that would otherwise experience heavy synchronization contention costs may instead be set up so that groups of sub-phasers share a common parent. This may greatly increase throughput even though it incurs greater per-operation overhead.
Could anybody clarify this statement, It's given me a bit of confusion.
Balanced trees work well in recursive decomposing programs. One example of that is the Fork/Join framework in Java7. I imagine tiered was added to Phasers as another way to use this framework, but at an awful cost. When a Phase must wait for arrival, the framework creates another thread to take its place. For a large number of waiters, this can be a disaster. You can see it work yourself by downloading the example software from this article I wrote two years ago.

Simple Multi-Threading in Java

Currently, I'm running on a thread-less model that isn't working simply because I'm running out of memory before I can process the data I'm being handed. I've made all the changes that I can to optimize the code, and it's still just not quite quick enough.
Clearly I should move on to a threaded model. I'm wondering what the simplest, easiest way to do the following is:
The main thread passes some info to the worker
That worker performs some work that I'll refactor out of the main method
The workers will disappear and new ones will be instantiated when needed
I've never worked with java threading and from what I've read up on it seems pretty complicated, even if what I'm looking for seems pretty simple.
If you have multiple independent units of work of equal priority, the best solution is generally some sort of work queue, where a limited number of threads (the number chosen to optimize performance) sit in a while(true) loop dequeuing work units from the queue and executing them.
Generally the optimum number of threads is going to be the number of processors +/- 1, though in some cases a larger number will be optimal if the threads tend to get stalled by disk I/O requests or some such.
But keep in mind that tuning the entire system may be required. Eg, you may need more disk arms, and certainly more RAM may be required.
I'd start by having a read through Java Concurrency as refresher ;)
In particular, I would spend some time getting to know the Executors API as it will do most of what you've described without a lot of the overhead of dealing with to many locks ;)
Distributing the memory consumption to multiple threads will not change overall memory consumption. From what I read out of your question, I would like to step forward and tell you: Increase the heap of the Java engine, this will help. Looks like you have to optimize the Java startup parameters and not your code. If I am wrong, then you will have to buffer the data. To Disk! Not to a thread in the same memory model.

High level internal data structures and algorithm for Hadoop FairScheduler?

At a high brief level what are the internals of the Hadoop FairScheduler?
Do they use priorty queues, heap for determining the time kept for each job waiting?
Or some other technique is used?
A good place to start is the paper which describes the fair scheduler. It describes the algorithm in detail and provides benchmarks for different types of jobs. The brief summary is that it attempts to increase overall cluster throughput by running small jobs ahead or along side of larger jobs. At some level you might describe it as a priority queue but it is more complicated since it tries to place tasks that are either data or rack local and it has different tradeoffs to make. Most schedulers are better thought of as minimization algorithms since the try to decrease the amount of time it takes to get some arbitrary block of work done.

How do I make this Java code parallelizable? How do I make it cloudable?

I'm working on a system at the moment. It's a complex system but it boils down to a Solver class with a method like this:
public int solve(int problem); // returns the solution, or 0 if no solution found
Now, when the system is up and running, a run time of about 5 seconds for this method is expected and is perfectly fast enough. However, I plan to run some tests that look a bit like this:
List<Integer> problems = getProblems();
List<Integer> solutions = new ArrayList<Integer>(problems.size);
Solver solver = getSolver();
for (int problem: problems) {
solutions.add(solver.solve(problem));
}
// see what percentage of solutions are zero
// get arithmetic mean of non-zero solutions
// etc etc
The problem is I want to run this on a large number of problems, and don't want to wait forever for the results. So say I have a million test problems and I want the tests to complete in the time it takes me to make a cup of tea, I have two questions:
Say I have a million core processor and that instances of Solver are threadsafe but with no locking (they're immutable or something), and that all the computation they do is in memory (i.e. there's no disk or network or other stuff going on). Can I just replace the solutions list with a threadsafe list and kick off threads to solve each problem and expect it to be faster? How much faster? Can it run in 5 seconds?
Is there a decent cloud computing service out there for Java where I can buy 5 million seconds of time and get this code to run in five seconds? What do I need to do to prepare my code for running on such a cloud? How much does 5 million seconds cost anyway?
Thanks.
You have expressed your problem with two major points of serialisation: Problem production and solution consumption (currently expressed as Lists of integers). You want to get the first problems as soon as you can (currently you won't get them until all problems are produced).
I am assuming as well that there is a correlation between the problem list order and the solution list order – that is solutions.get(3) is the solution for problems.get(3) – this would be a huge problem for parallelising it. You'd be better off having a Pair<P, S> of problem/solution so you don't need to maintain the correlation.
Parallelising the solver method will not be difficult, although exactly how you do it will depend a lot on the compute costs of each solve method (generally the more expensive the method the lower the overhead costs of parallelising, so if these are very cheap you need to batch them). If you end up with a distributed solution you'll have much higher costs of course. The Executor framework and the fork/join extensions would be a great starting point.
You're asking extremely big questions. There is overhead for threads, and a key thing to note is that they run in the parent process. If you wanted to run a million of these solvers at the same time, you'd have to fork them into their own processes.
You can use one program per input, and then use a simple batch scheduler like Condor (for Linux) or HPC (for Windows). You can run those on Amazon too, but there's a bit of a learning curve, it's not just "upload Java code & go".
Sure, you could use a standard worker-thread paradigm to run things in parallel. But there will be some synchronization overhead (e.g., updates to the solutions list will cause lock contention when everything tries to finish at the same time), so it won't run in exactly 5 seconds. But it would be faster than 5 million seconds :-)
Amazon EC2 runs between US$0.085 and US$0.68 per hour depending on how much CPU you need (see pricing). So, maybe about $120. Of course, you'll need to set up something separate to distribute your jobs across various CPUs. One option might be just to use Hadoop (see this question about whether Hadoop is right for running simulations.
You could read things like Guy Steele's talk on parallelism for more info on how to think parallel.
Use an appropriate Executor. Have a look at http://download.oracle.com/javase/6/docs/api/java/util/concurrent/Executors.html#newCachedThreadPool()
Check out these article on concurrency:
http://www.vogella.de/articles/JavaConcurrency/article.html
http://www.baptiste-wicht.com/2010/09/java-concurrency-part-7-executors-and-thread-pools/
Basically, Java 7's new Fork/Join model will work really well for this approach. Essentially you can set up your million+ tasks and it will spread them as best it can accross all available processors. You would have to provide your custom "Cloud" task executor, but it can be done.
This assumes, of course, that your "solving" algorithm is rediculously parallel. In short, as long as the Solver is fully self-contained, they should be able to be split among an arbitrary number of processors.

How many threads should I use in my Java program?

I recently inherited a small Java program that takes information from a large database, does some processing and produces a detailed image regarding the information. The original author wrote the code using a single thread, then later modified it to allow it to use multiple threads.
In the code he defines a constant;
// number of threads
public static final int THREADS = Runtime.getRuntime().availableProcessors();
Which then sets the number of threads that are used to create the image.
I understand his reasoning that the number of threads cannot be greater than the number of available processors, so set it the the amount to get the full potential out of the processor(s). Is this correct? or is there a better way to utilize the full potential of the processor(s)?
EDIT: To give some more clarification, The specific algorithm that is being threaded scales to the resolution of the picture being created, (1 thread per pixel). That is obviously not the best solution though. The work that this algorithm does is what takes all the time, and is wholly mathematical operations, there are no locks or other factors that will cause any given thread to sleep. I just want to maximize the programs CPU utilization to decrease the time to completion.
Threads are fine, but as others have noted, you have to be highly aware of your bottlenecks. Your algorithm sounds like it would be susceptible to cache contention between multiple CPUs - this is particularly nasty because it has the potential to hit the performance of all of your threads (normally you think of using multiple threads to continue processing while waiting for slow or high latency IO operations).
Cache contention is a very important aspect of using multi CPUs to process a highly parallelized algorithm: Make sure that you take your memory utilization into account. If you can construct your data objects so each thread has it's own memory that it is working on, you can greatly reduce cache contention between the CPUs. For example, it may be easier to have a big array of ints and have different threads working on different parts of that array - but in Java, the bounds checks on that array are going to be trying to access the same address in memory, which can cause a given CPU to have to reload data from L2 or L3 cache.
Splitting the data into it's own data structures, and configure those data structures so they are thread local (might even be more optimal to use ThreadLocal - that actually uses constructs in the OS that provide guarantees that the CPU can use to optimize cache.
The best piece of advice I can give you is test, test, test. Don't make assumptions about how CPUs will perform - there is a huge amount of magic going on in CPUs these days, often with counterintuitive results. Note also that the JIT runtime optimization will add an additional layer of complexity here (maybe good, maybe not).
On the one hand, you'd like to think Threads == CPU/Cores makes perfect sense. Why have a thread if there's nothing to run it?
The detail boils down to "what are the threads doing". A thread that's idle waiting for a network packet or a disk block is CPU time wasted.
If your threads are CPU heavy, then a 1:1 correlation makes some sense. If you have a single "read the DB" thread that feeds the other threads, and a single "Dump the data" thread and pulls data from the CPU threads and create output, those two could most likely easily share a CPU while the CPU heavy threads keep churning away.
The real answer, as with all sorts of things, is to measure it. Since the number is configurable (apparently), configure it! Run it with 1:1 threads to CPUs, 2:1, 1.5:1, whatever, and time the results. Fast one wins.
The number that your application needs; no more, and no less.
Obviously, if you're writing an application which contains some parallelisable algorithm, then you can probably start benchmarking to find a good balance in the number of threads, but bear in mind that hundreds of threads won't speed up any operation.
If your algorithm can't be parallelised, then no number of additional threads is going to help.
Yes, that's a perfectly reasonable approach. One thread per processor/core will maximize processing power and minimize context switching. I'd probably leave that as-is unless I found a problem via benchmarking/profiling.
One thing to note is that the JVM does not guarantee availableProcessors() will be constant, so technically, you should check it immediately before spawning your threads. I doubt that this value is likely to change at runtime on typical computers, though.
P.S. As others have pointed out, if your process is not CPU-bound, this approach is unlikely to be optimal. Since you say these threads are being used to generate images, though, I assume you are CPU bound.
number of processors is a good start; but if those threads do a lot of i/o, then might be better with more... or less.
first think of what are the resources available and what do you want to optimise (least time to finish, least impact to other tasks, etc). then do the math.
sometimes it could be better if you dedicate a thread or two to each i/o resource, and the others fight for CPU. the analisys is usually easier on these designs.
The benefit of using threads is to reduce wall-clock execution time of your program by allowing your program to work on a different part of the job while another part is waiting for something to happen (usually I/O). If your program is totally CPU bound adding threads will only slow it down. If it is fully or partially I/O bound, adding threads may help but there's a balance point to be struck between the overhead of adding threads and the additional work that will get accomplished. To make the number of threads equal to the number of processors will yield peak performance if the program is totally, or near-totally CPU-bound.
As with many questions with the word "should" in them, the answer is, "It depends". If you think you can get better performance, adjust the number of threads up or down and benchmark the application's performance. Also take into account any other factors that might influence the decision (if your application is eating 100% of the computer's available horsepower, the performance of other applications will be reduced).
This assumes that the multi-threaded code is written properly etc. If the original developer only had one CPU, he would never have had a chance to experience problems with poorly-written threading code. So you should probably test behaviour as well as performance when adjusting the number of threads.
By the way, you might want to consider allowing the number of threads to be configured at run time instead of compile time to make this whole process easier.
After seeing your edit, it's quite possible that one thread per CPU is as good as it gets. Your application seems quite parallelizable. If you have extra hardware you can use GridGain to grid-enable your app and have it run on multiple machines. That's probably about the only thing, beyond buying faster / more cores, that will speed it up.

Categories

Resources