Abstract: The "remainder function" is a form of division. "Division" is the most expensive CPU operation. HotSpot can transform "remainder" to a cheaper "multiply" operation. When benchmarking, we need to make sure that the divisor is not constant.
This is just a quick follow-up to the newsletter sent this morning at 2:00am South African time. It seems I was not very careful with the source code and a few errors crept in. Please have a look at the archive for a corrected edition. After finally collapsing in bed at 2:15am, I was rudely reminded that I have a daughter of 11 months old. She kept up her antics until 6:00am, when I had to get up to carry on presenting my Java course. *sigh* - today was not a good day!
Joshua Bloch wrote to me after last night's newsletter, sending me some more information about the remainder performance mystery, and I feel I should pass the information on to you, my readers:
Joshua Bloch: By the way, I now know more about what's going on with mod/division. There is a collection of techniques for doing fast division by a constant. These techniques are covered in great detail in Chapter 10 of a marvelous new book with the unlikely title of "Hacker's Delight" by Henry Warren [ISBN 0201914654] . It turns out that the old ("Classic") VM knew some of these tricks, but Hotspot, in releases up to 1.4, did not. While 1.4.1 can do some of this stuff, I suspect that later releases will do more.
I wrote a FairRemainderBenchmark that calculates the remainder with a variable, the way that the old HashMap would have done, and alas, the speed of the various JDKs is roughly the same:
import java.util.Random; public class FairRemainderBenchmark implements Benchmark { private static final int ITERATIONS = 10 * 1000 * 1000; private int memory; public int doCalculation() { int val = 0; Random rand = new Random(0); int bucket_size = (int)(rand.nextDouble() * 101) + 1; for (int i = 0; i < ITERATIONS; i++) { val = i % bucket_size; } memory = val; return ITERATIONS; } }
The performance is now quite similar between the old and the new versions of the JVM:
JVM version:1.2 18867 18832 18484 19193 18832 18518 19193 18832 18484 18832 Average 18806 iterations per millisecond JVM version:1.3.1_03 18867 18148 18832 18484 18484 18867 18832 18832 18148 18484 Average 18597 iterations per millisecond JVM version:1.4.0 18832 19193 19230 19193 19193 19193 19193 19230 19193 19193 Average 19164 iterations per millisecond JVM version:1.4.1-beta 17825 18148 18148 18148 17543 18484 18148 18148 17513 18518 Average 18062 iterations per millisecond
Heinz
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