Linux Number Crunching: Languages and Tools
ChaoticCoyote writes " You've covered some of my past forays into benchmarking, so I thought Slashdot might be interested in Linux Number Crunching: Benchmarking Compilers and Languages for ia32. I wrote the article while trying to decide between competing technologies. No one benchmark (or set of benchmarks) provides an absolute answer -- but information helps make reasonable decisions. Among the topics covered: C++, Java, Fortran 95, gcc, gcj, Intel compilers, SMP, double-precision math, and hyperthreading."
At least if you're developing in C....
Interesting numbers. Have you considered benchmarking Octave or rlab also? (Or is there a native MATLAB for Linus now?)
There is a quick and dirty intro to K over at Kuro5hin.
Some more links for more inforation:
Kernigan's benchmark test
more examples
Kx: the people who make K and KDB
Coyote Gulch Mirror
Be gentle! I'm sure my server is meltable, too! ;)
IN SOVIET RUSSIA, sig changes you!
Ah ha! Someone who understands what benchmarks are for and how to use them - it sometimes seems like the corporate world uses numbers from benchmarks only when they prove their claims. Of course, that's the difference between open source and the business world - open source (ideally) looks at every benchmark result and asks "now how can we get all of these numbers better than the competition?" while more traditional businesses ask, "Which of these numbers make our product look the best?". *shrug* its just nice to see benchmarks used properly, is all.
The benchmark programs aren't free - this is a non-profit industry association that charges money to cover its costs, but there are a number of universities that are members or associates which may be able to do testing that could explore some of the compiler differences; poke around their website to see who's reported what kinds of results.
Bill Stewart
New Fast-Compression-only CPR http://preview.tinyurl.com/dy575ks
I'm hardly a Java junky, but I've spent a lot of time recently with the language and I've heard a lot of complaints from my peers about Java being slow. Most of the time, just like this author, they're wrong! Java isn't slow, but sometimes you do have to program more thoughtfully to make Java fast.
First things first, though. No one would ever claim that JDK 1.4 is the ultimate Java speed demon. Even the "HotSpot" in server mode is going to be slow if your code isn't written well. But the author fails to do any profiling, and fails to give anyone even a hint as to why Java doesn't perform well. But I shouldn't get on him about his coding, or lack of profiling... neither issue is the reason his test showed Java to be slow.
The real problem: Firs, I'll cut him some slack for not profiling. However, I won't cut him any slack for using an interpreter instead of a JIT compiler. Java's been shown time and time again to be as fast as FORTRAN/C++ when using a good compiler, rather than an interpreter. *sigh* When will the madness end? A 0.07 second query to Google should explain that one to even a novice. Java IS fast. Interpreted byte-code is slow. Java != interpreted byte code; Java is a language.
Anyway, here's a link to a weak, biased, and not so rigorous argument backing up that statement. But, it's an easy read for Java newbies, so I'll risk posting it anyway: Java is Fast for Dummies(tm)
Intel have released a separate version of their C++ compiler for Linux, which they claim has good GNU C/C++ compatibility http://www.intel.com/software/products/compilers/c lin/. They say it can be used to build the Linux kernel with few modifications.
Yes, but indeed if you're really looking to benchmark only, comparing a row-based database engine with a column-based one is like comparing an apple to an orange. Both are fruits, both give you calories, but they're quite different.
Now as we're going off-topic from the original submission, one could benchmark KDB with Sybase IQ Multiplex. Here you're talking about 2 column-based db engines. In my testing, KDB is indeed up to an order of magnitude (10x) faster than Sybase IQ which is itself 2 orders of magnitude (100x) faster than row-based database engines.
However, as the article in the post says, benchmarks don't give the whole story.
Apart from the usual learning curve issues and available management tools (which KDB sadly lacks compared to Sybase IQ), there is one fundamental difference between the 2 db engines (and Oracle, DB2, Sybase ASE, etc...):
KDB is single-process, and does not pool memory. I'm not saying this is bad, but it makes for very interesting architectural issues when designing a system. For example, if you're going to use KDB, you're better off with the fastest possible single-CPU system. The best platform for KDB is probably the fastest Intel P4 Xeon, dual-processor, and as much RAM as possible on the machine. One processor will be used exclusively for KDB, the other for the OS. To grow, you'll implement a farm of those.
On the other hand, the other major DB engines generally perform much better in multi-CPU systems such as 16-way Sun servers. They pool the memory and use all the CPUs you'll give them. This makes for a more expensive single system, but an easier implementation if your application is larger than what a single dual Intel box can provide. In such a case, KDB will need one write engine and multiple read engines, significant storage pooling issues, etc...
Anyway, one last point regarding column-based database engines: they are certainly amazing for reporting and most read commands. Where they lose to row-based engines is in inserts, and in selects that return data from a large number of columns.
In the former case, you trick KDB and Sybase IQ into performing batch inserts (where the loading of columns will only be "wasted" once per batch). In the latter case, you're going to be hurt with KDB and Sybase IQ whatever you do, as they'll have to load in memory all the columns out of which you need the data.
Bottom line:
If you need OLTP (lots of inserts/updates) and aren't worried about extreme speeds, go for Oracle, Sybase ASE, DB2, etc...
If you need fast reporting with very quick time to market, go for Sybase IQ Multiplex.
If you need the absolute ultimate in reporting speed and have the time and resource to apply to it, go for KDB.
The article claims that he *is* using a Just-In-Time compiler. What makes you think otherwise?
Compiling his benchmark with -ffast-math and -funroll-loops more than doubles the performance of the gcj built benchmark on my P3.
This brings it within spitting distance of g++.
time python -O almabench.py user: 22m19.354s
gcc -ffast-math -O3 almabench.cpp -lm time ./a.out
user: 0m50.348s
C++ is only 27 times faster than Python for planetary simulations.
Almabench.py is my own conversion from the cpp source. I will send it to the author for possible addition to the benchmark.
-- Imperial units must die --
It doesn't work. Linux uses gcc extensions. Plus, the number of compiler bugs Linux exposes means that running it under icc would probably involve fixing a bunch of icc bugs.
And you'd probably have to fix about a zillion Linux bugs...
May we never see th
Just to put some things into perspective, here are some numerical results. These were obtained on my dual-athlon 1.4GHz w/ 1GB of RAM. The task was to compute the TE and TM surface currents induced on a circular cylinder 10 wavelengths in circumferece and having a relative permittivity equal to 4-j2. The program simultaneously solves the perfect electric conducting case. The surface was discretized into 60 cells using 120 unknowns (way overkill, but just to prove the point) using the Integral Equation Asymptotic Phase method.
g77 Compiler (-O2 -malign-double -funroll-loops): 24.11s
Lahey Compiler (equivalent paramters): 16.45s
As you can see, there's really no comparison, except that the lahey-created binary uses about 10% more RAM than does the one created with g77. This is just a summary comparison as I did not go into measuring the difference in the error of the two results compared to a reference solution. I'm assuming that both solutions are about the same with regard to accuracy.
There is no question that you can have a memory leak in a Java program. However, Java does remove a number of potential ways to create a memory leak that do occur in C++ (heck, 90% of C++ programs I see will leak heap memory if you have exceptions). Anyone who claims that "While it is possible to carefully write a Java program that doesn't leak, I don't think it's any easier than making a leakproof C++ program" either hasn't written a lot of C++, or hasn't written a lot of Java. ;-)
sigs are a waste of space
Using reference counting is one big help. And knowing how to write exception safe code is another. Yes, it's a difficult subject, but it is something you can learn.
It may be easier to write leak-free Java than C++, but I suspect that because many Java programmers blithely assume their code can't leak, there may well be more leaky Java programs than C++ ones.
I used to work at a web shop where we used the Enhydra Java application server. Enhydra is pretty well written, but the applications that the company originally developed for it were pretty sad. As a result they had to restart their servlet process every few hours because the JVM ran out of memory!
Request your free CD of my piano music.
When I run my QR decomposition "benchmark", IBM's virtual machine always comes out about 20% faster than Sun's. It would still be a lot slower than C++ or Fortran, but the gap should be smaller. On top of that, IBM's license does not require you to accept a license which says the VM may install any software on your machine and that you automatically accept the license of that new software. See http://hal.trinhall.cam.ac.uk/~nrs27/java_eula.htm l for all the fun.
Anyone who's spent any time working with Sun's Wireless Toolkit to develop for mobile devices will have witnessed pretty serious memory leakage firsthand. I know I do! After starting an emulator 10-20 times to test code it's using so much RAM that it's necessary to kill and restart the Toolkit to get anything like reasonable performance back again!
;-)
I'll agree that Java makes memory management much simpler, (I've spent a lot of time hacking x86 assembler, Pascal, C and C++ over the years) but bad programming can lead to leaks just as well. You tend to discover leaks pretty quickly with a mobile phone that has only 200K of RAM to play with though
Code, Hardware, stuff like that.
...I've heard a lot of complaints from my peers about Java being slow.
Allow me to join the chorus.
Java isn't slow, but sometimes you do have to program more thoughtfully to make Java fast.
No. Java *can* be made less mind-bogglingly slow by avoiding certain things...preallocating a pool of objects and using primitive types (like int) whenever possible helps. The way the language is designed makes it *easy* to be mind-bogglingly slow. That doesn't mean that going out of your way to avoid these things makes Java fast. It makes it only "slow".
Java is Fast for Dummies
Ah, yes. A link tellings how Java isn't *really* that slow on "javaworld.com". I took a skim.
The first two pages say basically "Java isn't that slow". They then start rambling about various features that make Java a good language.
They claim that Java programs load faster than native programs. (The article was written, BTW, in Feb '98, to give an idea of how full of BS they are). This is stupid. JVM startup and load time *dwarfs* application link time. Write "hello world" in C++ and in Java.
First, they laud the small executable size of Java as being a performance boost based on binary format. Everything I've read points the *other* way...Java *is* fairly compact, but can contain data that isn't nicely aligned along host boundaries.
Second, what they're talking about, if it's even accurate these days, which I doubt, has a lot to do with the lousiness of the Windows runtime linker. This isn't really an issue for Linux.
Third, while insinuating that minimizing code size provides a performance boost, they talk about how great it is that Java lets you use *built in* libraries, whereas C++ progams need to *bundle* libraries. What? That's stupid. They're shifting the libraries around, but it sure as hell isn't decreasing total amount of data that needs to get loaded.
Fourth, this gem: Finally, Java contains special libraries that support images and sound files in compressed formats, such as Joint Photographic Expert Group (JPEG) and Graphics Interchange Format (GIF) for images, and Adaptive m -law encoded (AU) for audio. In contrast, the only natively supported formats in Windows NT are uncompressed: bitmap (BMP) for images and wave (WAV) for audio. Compression can reduce the size of images by an order of magnitude and audio files by a factor of three. Additional class libraries are available if you want to add support for other graphics and sound formats.
They're billing this as *improving* performance? Yeah, I'd love to have my app blow CPU time decompressing a JPEG image instead of reading a slightly larger BMP image if I'm trying to minimize load time. Oh, and have it load all the JPEG loading code, too.
They then proceed to ramble about selective loading, and try to imply that Java's runtime linking is faster than C++'s.
They *then* show off smaller binary sizes by embedding a BMP in the C++ binary and a GIF in the Java binary. Impressive.
They then claim that claims of poor Java performance are based on non-JIT implementations. This neatly lets them avoid actually citing numbers. Sure, I'll agree that Java went from "Performance Hideous" to "Performance Bad". Everyone uses JIT these days, and damned if Java isn't *still* slow.
They then try to talk about how JIT allows code to be optimized just like C++. Wow. Yup, JIT sure is known for impressive optimization, isn't it?
They then use the most artificial, contrived benchmarks I've ever seen (which conveniently avoid almost all of the Java pitfalls...they don't need to do array access, they're trivial to implement without heap allocation...)
They finish up talking about how C++ RTTI performance sucks compared to Java (ignoring the fact that Java hits RTTI code *far* more often than C++ does, like every time it yanks something out of a generic container class).
Finally, they finish up by talking about a bunch of random Java features that they think are great, like garbage collection "First, your programs are virtually immune to memory leaks." Hope you don't use hash tables, buddy.
Next, they talk about how a JVM can defrag memory. I'm going to have to just crack up at that. This isn't a performance boost unless you're using a language that *hideously* fragments memory and eats memory like a *beast* (granted, Java is the best candidate I know of). Runtime memory defragmentation went out of fashion with the classic Mac OS...it's pretty much a bad idea as long as you have a hard drive available. VM systems are pretty damn good these days...if you're trying to maximize performance, there are almost always better things to be doing than blowing cycles and bandwidth defragging memory. There's a reason we don't do it any more.
Basically, my conclusion is that "Java is Fast for Dummies" is primarily aimed at, well, dummies.
May we never see th
Yes, indeed, what about fp (functional programming) and numerics? :)
Funny thing is that the fp people have invested lots of brainpower into advanced functional programming techniques. Symbolic and logics math, yes I have seen software for it. But numerics?
Is it possible that a functional language beats FORTRAN eg in eigenvector calculations?
Regards,
Marc
In case any fellow beginning C++ programmer was wondering: This is because objects are only guaranteed to be destructed when an exception is thrown if and only if this exception is caught.
So no matter what you're doing in your program, its main() should always look a bit like this to make sure every exception is caught:
(Sorry, I can't seem to save indentation with /. HTML here)
Please note that this way, you also always assure to have a valid shell return code (EXIT_SUCCESS from your function() would be the OK code).
42. Easy. What is 32 + 8 + 2?
Almost *ALL* of my email is related to Java. I'll be adding the IBM JDK and older versions of the Sun JDK later today, as per reader request.
I'm making minor updates to the article as the day passes. I appreciate comments from everyone; once I'm through with my e-mail, I'll respond to these Slashdot comments.
Additional benchmarks will be added to the article with time; I'm putting together a single-precision ("float") benchamrk, for example.
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God, it feels like I've spent most of my professional life arguing with Fortran programmers. These people are ignorant, but arrogant. They think that because they have a Phd in Engineering (or Physics, or whatever) and can produce a syntactically-correct Fortran program, they know how to program, and can ignore advice backed up by thirty years of software engineering research and experience. Bizarrely, what little knowledge they have is about 35 years out of date, even for those in their twenties. They live in a ghetto.
As anyone with even the slightest real computing knowledge knows, what gives you performance is the algorithm chosen, not the implementation. Therefore, what matters is how easy it is to implement a good algorithm. Which means, how easy it is to write a program that implements a difficult to understand algorithm (because an inobvious algorithm-- of course, there are some exceptions). Which means that support for modern programming techniques that help you produce easy to understand programs is important for producing high performance programs. You know, things like the following that are absent from the still widely used Fortran-77:
So, comparing the performance of toy a Fortran program with its translation into C++ or Java shows nothing.
What has happended is a second Software Engineering Crisis. The first 'Crisis was in the mainstream, data processing, part of the software industry. The introduction of more powerful computers resulted in large, complex programs that were failures because they were complicated (See The Mythical Man Month). Since then, we have developed software engineering techniques to deal with their problems, so now large programs can be much more complex (composed of many parts) without being excessively complicated (difficult to produce and understand). Since about twelve years ago, the increasing performance of computers means that number-crunching programs (e.g. CFD programs) don't merely process large amounts of data; they are also large and complicated in their own right. The Software Engineering Crisis has caught up with engineers and scientists. The sad thing is, many don't know it, or ignore the advice (and screamingly obvious signs) that it is here.
Ne mæg werig mod wyrde wiðstondan, ne se hreo hyge helpe gefremman.
...the tools I have at hand. I have nothing against TowerJ, but can't test it if I don't own it. As for Java, I made note of a lack of flags, which is different from complaining. The -O flag is no longer supported by Sun's JDK according to the documentation.
All about me
Using Object-Oriented constructs is no guarantee that a program is maintainable or even readable. I have seen some horrifying OOP code in my life, written by people so enamoured of syntax that they drown theircode in it.
In numerical applications, and extra 10% can be the difference between success and failure. I'm corresponding with a fellow who works in meteorology; his company uses commodity boxes to compete with government-funded monopolies. For him, the ability to gain 10% is crucial.
I am all in favor of object-oriented programming -- but my philosophy matches that of Bjarne Stroustrup, who refers to his language as a having "multiple paradigms." Use OO when it makes sense -- but use the right tool for the task at hand. C++ does not force you to use OOP when it doesn't make sense.
Many numerical applications make mroe sense when using short variable names (that match formulas in texts) and a function-based approach (again, matching mathematical idiom).
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Yes, look on Google for the language SISAL. That apparently beats Fortran.
Sisal was developed at Los Alamos IIRC and those dudes have some of the fastest supercomputers in the world so they should know.
The thing with FL's is not to use a lazy language, but a stract one (SISAL being a good example) should be able to be optimized quite heavily.
The dangers of excessive individualism are nothing compared to the oppressiveness of excessive collectivism
Surely people remember that most excellent O'Reilly book, Numerical Recipes in AWK. Unfortunately the 1998 review of it has disappeared.
Prime numbers are exactly what Alan Greenspan says they are -S. Minsky
Back when I wrote reviews for print magazines (back when there were print magazines, that is), it was standard policy to limit reviews to the actually, shipping, commercial product. Demos often lack critical features (like optimizers) or are tuned for benchmark tests, so I've kept to that policy now that I write reviews for my own web site.
I own licenses for the Intel compilers, for example -- and, of course, gcc and Sun Java don't cost anything in the first place. I'm considering my options in this case; long gone are the days when a dozen Fortran or C compilers would arrive at my door for a magazine review. Heck, there aren't a dozen compiler vendors left... ;)
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On this particular benchmark, "K" would probably perform very poorly--because it doesn't involve any big arrays. But, since you like "K" so much, why don't you try for yourself and report back?
"it has always been clear that Java is inferior to native code applications in terms of raw power. Computational performance depends on the effective use of a target processor's instruction set; such optimization can not be expected of Java given its goals of universality and portability."
This statement is simply not true! The portability nature of Java does not conflict with a virtual machine that does processor-specific optimizations. Take a look at Sun's HotSpot VM source code (it's publicly available!) In the IA32-specific code, you'll see lots of run-time switches to enable specific P4 optimizations, for example.
"Perhaps Java's Just-in-Time compiler could be enhanced to perform processor-specific run-time optimizations; on the other hand, doing so would require different JVMs (Java Virtual Machines) for different architectures, or a single bloated JVM with run-time architecture detection."
This already exists in the current HotSpot VM. There's an IA32 binary, which includes optimizations for several versions of IA32. It does not include PowerPC or SPARC code, as that's in a different binary.
" The "ia32" world is already fragmented between Pentium III, Pentium IV, Itanium, Athlon, and Opteron architectures, each having unique requirements for optimization;"
That's the challenges a VM writer has to deal with. And the HotSpot team did a great job in managing this complexity.
In the future, if you (or anyone else, for the matter) takes the time to write a paper, you should do more research. Some of the statements above are simply misleading.
For the specific case of algorithms that can be expressed strictly in terms of bounded loops where the loop bounds can all be determined at compile time, so that there are no run-time tests needed to determine if some computation must be performed or not, functional programming styles can be near-optimal. Analysis techniques can radically restructure such programs, completely reorganizing the loop nesting.
There have been a variety of stream-oriented or single-assignment languages to make such things possible: Silage and DFL, Lucid, Lustre, Sisal, and others. You can get very good code from such languages, but they aren't very general.
Oh, yes, it does. If you want GNU C/C++ to inline trig functions and/or use the machine instructions, you can get it to do that, too. But there are good reasons why it doesn't do that by default. There are other options you can give GNU C/C++ to tell it to make assumptions that let it optimize more. It's really for you to decide what tradeoffs you want.
The point of using a high-level language is to avoid the need to play in assembly-land.
For day-to-day programming, I agree. But if you do benchmarks, you have to understand assembly language and look at it. There are a lot of other low-level details you need to look at and understand as well (e.g., caching). That's not so that you can tune your benchmarks for it, it's so that you can determine whether your benchmark is actually doing what you think it is doing.
The trick is picking the right level of hardware abstraction -- do you write for an assembler
Unfortunately, your code doesn't test the efficiency of abstraction at all--your code is something that could have been written in Fortran 77. Once you actually start moving to higher levels of abstraction, Fortran 95's capabilities are limited, and Java's performance becomes abysmal. Pretty much only C++ has all the necessary hooks to write efficient high-level numerical code at this point.
Note, incidentally, that even if your benchmarks are representative, the Pentium4 is probably still not the best solution in terms of price/performance. That's another important factor to be taken into account when benchmarking: how much does that performance actually cost.
(Incidentally, I hope JPL isn't using this kind of code for actual navigation.)
But with 90% of the code these days in business (which is the majority of custom code written in the world), Java's speed is acceptable and its portability and memory garbage collection outweigh any speed advantages of C/C++ in a Gigahertz world.
Sure. Java's fine for doing a front end or simple database accessor. Hell, Hypercard was great for this.
It's just not so great to do mainstream apps in, and people claiming that Java is "just as fast as C", which sometimes gets these people to waste time trying to implement their app in Java, gets my gander.
Look at Corel's suite. They implemented the *entire stupid thing* in Java because it was going to be the "next big thing" and eventually be as "fast as C", according to the frenzied shouts of some of the Java supporters. Then they had to throw the whole thing out because of performance issues. I can't even imagine the cost, both direct and strategic (cost in time sitting on your ass while your competitor does something) to Corel. Same thing happened to Mozilla...the thing was originally going to be in Java. That idea got nixed...
The other thing that vaguely pisses me off is that almost all of the things that Java does that make performance *suck* really aren't necessary. You can design a fast language that has most of its security model. Ocaml is quite safe -- moreso than Java -- but the Ocaml people imposed almost no overhead from C, because they avoided adding features that required runtime overhead, but went all out on things that could be somehow finagled into compile-time work. They *do* do most array bounds checking, but that's about it. Ocaml has GC, portability, and type safety...it just does almost all its work at compile time. I'd be willing to use Ocaml (well, actually I don't like functional languages much, but I'd endorse its performance) for almost any of the situations where I'd use C or C++.
I'm not a huge fan of Ocaml itself, but it's a model for what *should* have been done with Java. If a feature is going to nail you performance-wise -- if users are going to have to do contortions to get decent performance -- you should think long and hard before adding it. Everything that sounded "cool" ended up in Java, which resulted in countless wasted CPU cycles for users around the world.
I don't see why, as processors get faster, people feel the need to keep computers equivalently slow. Why not take advantage of the constant-time improvement? We can do better optimizations, do caching, because now we have the memory and extra constant time to do so. We have better body of knowledge about compilers, so why can't we *improve* performance instead of hurting it? It's *stupid*.
May we never see th
Corman Lisp and MLton -- Other fast functional languages.
GNAT Ada -- Runs pretty close to C/C++ speed. Sometimes faster if the compiler can do expeditious compile-time optimizations.
The original article generated an exceptional collection of interesting and helpful of responses. In this section, I'll run down the important points people made.
Note: This is a duplicate of a new section I added to the review; I'm posting it here for posterity.
An overwhelming number of people suggested that I include results for IBM JDKs -- and I have. In fact, I've added results for Sun JDK 1.3.1_06, IBM JDK 1.4.0, and IBM 1.3.1 RC3. Adding these JVMs made a significant difference in the results, cutting runtimes in half. On the other hand, almabench runs as an infinite loop with Sun's 1.3.1 JVM (it starts, but never finishes). Note that I recompiled almabench with the corresponding javac for each JDK, so the JVMs were executing code generated by their corresponding compiler.
The problem with Java's performance is not my code or my lack of Java skills -- what real problem is that Java 1.4 is slow. Both the Sun and IBM JVMs lost significant performance in the move from 1.3.1 to 1.4, whether due to a new language requirement or other factors. My faith in Java is severely shaken when applications lose significant performance by upgrading to the current release of Java.
Java 1.4 added many new features to the language and packages; however, changing from version 1.3 to 1.4 should not double run-times! Nor am I comforted by the problems of Sun's 1.3.1 server JVM.
Given the nature of the problem, my conclusions about Java stand (albeit slightly softened). By Sun's own definition, JDK 1.3.1 is obsolete; the fact that it performs better than the most current JDK is indicative of a serious problem with Sun's improvements to their language. Since Java 1.4.1 is what Sun is promoting, so that is what I base my conclusion on. I can say that IBM's product is superior, and have already set it is my default JDK. It's no wonder Sun is upset about IBM usurping Java -- IBM is producing better tools.
Some people asked if my Java results were biased by the amount of time it takes to load the JVM. I've tested several empty and near-empty applications; a Hello, world program, for example loads and runs in less than 2/10ths of a second -- hardly significant. The start-up time increases with the number of imports -- but almabench.java imports only one small class package, java.math.*, which (in my tests) does not impose measurable overhead.
I did not include any commercial Java compilers. Most, like the oft-cited Excelsior JET, are Windows-only; this article is about Linux. I don't benchmark Visual C++ or C# for the same reason (although I will look at Mono and C# some time in the future). The free version of Borland C++ does not include a complete optimizer, so I don't think it fits in this review.
How do I know that the programs are producing the correct output? Each program includes code to display results; I run the programs with I/O to ensure that all calculations are being performed, then I comment out any header inclusions, imports, and print statements for actual testing.
How am I timing the results? With the Linux time command. Table 3 reports the real value reported by time (the elapsed time of execution.) Embedding timers in the actual code is fraught with problems; for example, each language implements different time scales and abilities. I'm sure someone will tell me that time is full of problems too, but it works for me and is consistent across all programming languages.
Amid the barrage of Java-related comments, a few people actually noticed the Fortran code. I am looking at other Fortran compilers for future updates. As for GNU g77 -- I wrote the code in Fortran 95 because I find Fortran 77 to be annoying. I wrote piles of Fortran 77 back in my CDC and VAX days, but these days I'm writing for environments where Fortran 95 is more appropriate. Believe it or not, Fortran 95 is a very clean, orderly language that eliminates many Fortran 77 idiosyncrasies while adding features important for high-performance coding.
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