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February 26, 2005

fast vector math

So, I was looking around on the net for opinions on the speed of various ways of implementing such basic classes as vectors, matrices, etc. I came across this article on flipcode by Tomas Arce. Reading about it, I was somewhat excited because his speed improvements sounded great. Especially considering that my current vector class looks almost exactly like his "typical" one.

So, I download the code and run the included binary to do local testing benchmarks on my machine. Looks pretty decent, though there isn't nearly as much difference between the implementations as he describes in the article. *shrug*. So, I load up the project and start grokking the code. Wow. Template hell to the nth degree! But relatively understandable even so after a bit of staring at it.

Thinking I might want to replace my current implementation with his, I tried to compile the code. MSVC (.Net 2003) barfed on it. Template errors galore. *sigh* So, I found out what the problems were, fixed them, and it compiled.

So I ran it. It printed the results for test 0 and then hung. After 10 seconds or so, I paused it and traced it down to the counter being set to 100000000 (i.e. it was running 6 tests 100000000 each * 3 sets of tests).

OK, well, I'm in debug mode, so I'll just delete a couple zero's from the count. Good 'nuf. It's still slow, but it runs and gives results. Rather surprising ones, though. In every set of tests, the "typical" vector implementation completely outperformed both Blinn's and Arce's. Usually by a factor of 10 more! (complete results are below).

Well, fine, maybe it's a symptom of running in debug mode. So, I compiled in release mode. What a difference in speed! Usually, compiling in release mode does help some, but I don't usually see speed gains like that. In any case, the window blipped on the screen and disappeared so fast I barely noticed it.

Looking at my output file, I was truly impressed with the speedup of release mode. The results were not nearly so skewed toward 'typical' this time, either. In 4 out of 6 cases, Arce's code was the fastest. 2 of those were pretty damn close to the typical speed, though, so it was really only the clear winner in 2 of the 6 cases. In all but 1 case, Blinn's code was vastly slower than either Arce's or the typical implementation, which I found greatly surprising.

Anyway, here's the results. You judge for yourself. I'm pretty much thinking at this point that I'm going to stick with the "typical" implementation because it's NOT that much slower (and in many cases is far FASTER) than the other implementations, and it performs well in debug mode as well as release. Since I run in debug mode while programming, that can be a definite plus.

Posted by elfric at February 26, 2005 04:42 PM

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