Why does Java switch on contiguous ints appear to run faster with added cases?
I am working on some Java code which needs to be highly optimized as it will run in hot functions that are invoked at many points in my main program logic. Part of this code involves multiplying double variables by 10 raised to arbitrary non-negative int exponents. One fast way (edit: but not the fastest possible, see Update 2 below) to get the multiplied value is to switch on the exponent:
double multiplyByPowerOfTen(final double d, final int exponent) {
switch (exponent) {
case 0:
return d;
case 1:
return d*10;
case 2:
return d*100;
// ... same pattern
case 9:
return d*1000000000;
case 10:
return d*10000000000L;
// ... same pattern with long literals
case 18:
return d*1000000000000000000L;
default:
throw new ParseException("Unhandled power of ten " + power, 0);
}
}
The commented ellipses above indicate that the case int constants continue incrementing by 1, so there are really 19 cases in the above code snippet. Since I wasn't sure whether I would actually need all the powers of 10 in case statements 10 thru 18, I ran some microbenchmarks comparing the time to complete 10 million operations with this switch statement versus a switch with only cases 0 thru 9 (with the exponent limited to 9 or less to avoid breaking the pared-down switch). I got the rather surprising (to me, at least!) result that the longer switch with more case statements actually ran faster.
On a lark, I tried adding even more cases which just returned dummy values, and found that I could get the switch to run even faster with around 22-27 declared cases (even though those dummy cases are never actually hit while the code is running). (Again, cases were added in a contiguous fashion by incrementing the prior case constant by 1.) These execution time differences are not very significant: for a random exponent between 0 and 10, the dummy padded switch statement finishes 10 million executions in 1.49 secs versus 1.54 secs for the unpadded version, for a grand total savings of 5ns per execution. So, not the kind of thing that makes obsessing over padding out a switch statement worth the effort from an optimization standpoint. But I still just find it curious and counter-intuitive that a switch doesn't become slower (or perhaps at best maintain constant O(1) time) to execute as more cases are added to it.
These are the results I obtained from running with various limits on the randomly-generated exponent values. I didn't include the results all the way down to 1 for the exponent limit, but the general shape of the curve remains the same, with a ridge around the 12-17 case mark, and a valley between 18-28. All tests were run in JUnitBenchmarks using shared containers for the random values to ensure identical testing inputs. I also ran the tests both in order from longest switch statement to shortest, and vice-versa, to try and eliminate the possibility of ordering-related test problems. I've put my testing code up on a github repo if anyone wants to try to reproduce these results.
So, what's going on here? Some vagaries of my architecture or micro-benchmark construction? Or is the Java switch really a little faster to execute in the 18 to 28 case range than it is from 11 up to 17?
github test repo "switch-experiment"
UPDATE: I cleaned up the benchmarking library quite a bit and added a text file in /results with some output across a wider range of possible exponent values. I also added an option in the testing code not to throw an Exception from default, but this doesn't appear to affect the results.
UPDATE 2: Found some pretty good discussion of this issue from back in 2009 on the xkcd forum here: http://forums.xkcd.com/viewtopic.php?f=11&t=33524. The OP's discussion of using Array.binarySearch() gave me the idea for a simple array-based implementation of the exponentiation pattern above. There's no need for the binary search since I know what the entries in the array are. It appears to run about 3 times faster than using switch, obviously at the expense of some of the control flow that switch affords. That code has been added to the github repo also.
Answer
As pointed out by the other answer, because the case values are contiguous (as opposed to sparse), the generated bytecode for your various tests uses a switch table (bytecode instruction tableswitch).
However, once the JIT starts its job and compiles the bytecode into assembly, the tableswitch instruction does not always result in an array of pointers: sometimes the switch table is transformed into what looks like a lookupswitch (similar to an if/else if structure).
Decompiling the assembly generated by the JIT (hotspot JDK 1.7) shows that it uses a succession of if/else if when there are 17 cases or less, an array of pointers when there are more than 18 (more efficient).
The reason why this magic number of 18 is used seems to come down to the default value of the MinJumpTableSize JVM flag (around line 352 in the code).
I have raised the issue on the hotspot compiler list and it seems to be a legacy of past testing. Note that this default value has been removed in JDK 8 after more benchmarking was performed.
Finally, when the method becomes too long (> 25 cases in my tests), it is in not inlined any longer with the default JVM settings - that is the likeliest cause for the drop in performance at that point.
With 5 cases, the decompiled code looks like this (notice the cmp/je/jg/jmp instructions, the assembly for if/goto):
[Verified Entry Point]
# {method} 'multiplyByPowerOfTen' '(DI)D' in 'javaapplication4/Test1'
# parm0: xmm0:xmm0 = double
# parm1: rdx = int
# [sp+0x20] (sp of caller)
0x00000000024f0160: mov DWORD PTR [rsp-0x6000],eax
; {no_reloc}
0x00000000024f0167: push rbp
0x00000000024f0168: sub rsp,0x10 ;*synchronization entry
; - javaapplication4.Test1::multiplyByPowerOfTen@-1 (line 56)
0x00000000024f016c: cmp edx,0x3
0x00000000024f016f: je 0x00000000024f01c3
0x00000000024f0171: cmp edx,0x3
0x00000000024f0174: jg 0x00000000024f01a5
0x00000000024f0176: cmp edx,0x1
0x00000000024f0179: je 0x00000000024f019b
0x00000000024f017b: cmp edx,0x1
0x00000000024f017e: jg 0x00000000024f0191
0x00000000024f0180: test edx,edx
0x00000000024f0182: je 0x00000000024f01cb
0x00000000024f0184: mov ebp,edx
0x00000000024f0186: mov edx,0x17
0x00000000024f018b: call 0x00000000024c90a0 ; OopMap{off=48}
;*new ; - javaapplication4.Test1::multiplyByPowerOfTen@72 (line 83)
; {runtime_call}
0x00000000024f0190: int3 ;*new ; - javaapplication4.Test1::multiplyByPowerOfTen@72 (line 83)
0x00000000024f0191: mulsd xmm0,QWORD PTR [rip+0xffffffffffffffa7] # 0x00000000024f0140
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@52 (line 62)
; {section_word}
0x00000000024f0199: jmp 0x00000000024f01cb
0x00000000024f019b: mulsd xmm0,QWORD PTR [rip+0xffffffffffffff8d] # 0x00000000024f0130
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@46 (line 60)
; {section_word}
0x00000000024f01a3: jmp 0x00000000024f01cb
0x00000000024f01a5: cmp edx,0x5
0x00000000024f01a8: je 0x00000000024f01b9
0x00000000024f01aa: cmp edx,0x5
0x00000000024f01ad: jg 0x00000000024f0184 ;*tableswitch
; - javaapplication4.Test1::multiplyByPowerOfTen@1 (line 56)
0x00000000024f01af: mulsd xmm0,QWORD PTR [rip+0xffffffffffffff81] # 0x00000000024f0138
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@64 (line 66)
; {section_word}
0x00000000024f01b7: jmp 0x00000000024f01cb
0x00000000024f01b9: mulsd xmm0,QWORD PTR [rip+0xffffffffffffff67] # 0x00000000024f0128
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@70 (line 68)
; {section_word}
0x00000000024f01c1: jmp 0x00000000024f01cb
0x00000000024f01c3: mulsd xmm0,QWORD PTR [rip+0xffffffffffffff55] # 0x00000000024f0120
;*tableswitch
; - javaapplication4.Test1::multiplyByPowerOfTen@1 (line 56)
; {section_word}
0x00000000024f01cb: add rsp,0x10
0x00000000024f01cf: pop rbp
0x00000000024f01d0: test DWORD PTR [rip+0xfffffffffdf3fe2a],eax # 0x0000000000430000
; {poll_return}
0x00000000024f01d6: ret
With 18 cases, the assembly looks like this (notice the array of pointers which is used and suppresses the need for all the comparisons: jmp QWORD PTR [r8+r10*1] jumps directly to the right multiplication) - that is the likely reason for the performance improvement:
[Verified Entry Point]
# {method} 'multiplyByPowerOfTen' '(DI)D' in 'javaapplication4/Test1'
# parm0: xmm0:xmm0 = double
# parm1: rdx = int
# [sp+0x20] (sp of caller)
0x000000000287fe20: mov DWORD PTR [rsp-0x6000],eax
; {no_reloc}
0x000000000287fe27: push rbp
0x000000000287fe28: sub rsp,0x10 ;*synchronization entry
; - javaapplication4.Test1::multiplyByPowerOfTen@-1 (line 56)
0x000000000287fe2c: cmp edx,0x13
0x000000000287fe2f: jae 0x000000000287fe46
0x000000000287fe31: movsxd r10,edx
0x000000000287fe34: shl r10,0x3
0x000000000287fe38: movabs r8,0x287fd70 ; {section_word}
0x000000000287fe42: jmp QWORD PTR [r8+r10*1] ;*tableswitch
; - javaapplication4.Test1::multiplyByPowerOfTen@1 (line 56)
0x000000000287fe46: mov ebp,edx
0x000000000287fe48: mov edx,0x31
0x000000000287fe4d: xchg ax,ax
0x000000000287fe4f: call 0x00000000028590a0 ; OopMap{off=52}
;*new ; - javaapplication4.Test1::multiplyByPowerOfTen@202 (line 96)
; {runtime_call}
0x000000000287fe54: int3 ;*new ; - javaapplication4.Test1::multiplyByPowerOfTen@202 (line 96)
0x000000000287fe55: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe8b] # 0x000000000287fce8
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@194 (line 92)
; {section_word}
0x000000000287fe5d: jmp 0x000000000287ff16
0x000000000287fe62: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe86] # 0x000000000287fcf0
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@188 (line 90)
; {section_word}
0x000000000287fe6a: jmp 0x000000000287ff16
0x000000000287fe6f: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe81] # 0x000000000287fcf8
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@182 (line 88)
; {section_word}
0x000000000287fe77: jmp 0x000000000287ff16
0x000000000287fe7c: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe7c] # 0x000000000287fd00
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@176 (line 86)
; {section_word}
0x000000000287fe84: jmp 0x000000000287ff16
0x000000000287fe89: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe77] # 0x000000000287fd08
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@170 (line 84)
; {section_word}
0x000000000287fe91: jmp 0x000000000287ff16
0x000000000287fe96: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe72] # 0x000000000287fd10
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@164 (line 82)
; {section_word}
0x000000000287fe9e: jmp 0x000000000287ff16
0x000000000287fea0: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe70] # 0x000000000287fd18
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@158 (line 80)
; {section_word}
0x000000000287fea8: jmp 0x000000000287ff16
0x000000000287feaa: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe6e] # 0x000000000287fd20
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@152 (line 78)
; {section_word}
0x000000000287feb2: jmp 0x000000000287ff16
0x000000000287feb4: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe24] # 0x000000000287fce0
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@146 (line 76)
; {section_word}
0x000000000287febc: jmp 0x000000000287ff16
0x000000000287febe: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe6a] # 0x000000000287fd30
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@140 (line 74)
; {section_word}
0x000000000287fec6: jmp 0x000000000287ff16
0x000000000287fec8: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe68] # 0x000000000287fd38
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@134 (line 72)
; {section_word}
0x000000000287fed0: jmp 0x000000000287ff16
0x000000000287fed2: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe66] # 0x000000000287fd40
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@128 (line 70)
; {section_word}
0x000000000287feda: jmp 0x000000000287ff16
0x000000000287fedc: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe64] # 0x000000000287fd48
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@122 (line 68)
; {section_word}
0x000000000287fee4: jmp 0x000000000287ff16
0x000000000287fee6: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe62] # 0x000000000287fd50
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@116 (line 66)
; {section_word}
0x000000000287feee: jmp 0x000000000287ff16
0x000000000287fef0: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe60] # 0x000000000287fd58
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@110 (line 64)
; {section_word}
0x000000000287fef8: jmp 0x000000000287ff16
0x000000000287fefa: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe5e] # 0x000000000287fd60
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@104 (line 62)
; {section_word}
0x000000000287ff02: jmp 0x000000000287ff16
0x000000000287ff04: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe5c] # 0x000000000287fd68
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@98 (line 60)
; {section_word}
0x000000000287ff0c: jmp 0x000000000287ff16
0x000000000287ff0e: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe12] # 0x000000000287fd28
;*tableswitch
; - javaapplication4.Test1::multiplyByPowerOfTen@1 (line 56)
; {section_word}
0x000000000287ff16: add rsp,0x10
0x000000000287ff1a: pop rbp
0x000000000287ff1b: test DWORD PTR [rip+0xfffffffffd9b00df],eax # 0x0000000000230000
; {poll_return}
0x000000000287ff21: ret
And finally the assembly with 30 cases (below) looks similar to 18 cases, except for the additional movapd xmm0,xmm1 that appears towards the middle of the code, as spotted by @cHao - however the likeliest reason for the drop in performance is that the method is too long to be inlined with the default JVM settings:
[Verified Entry Point]
# {method} 'multiplyByPowerOfTen' '(DI)D' in 'javaapplication4/Test1'
# parm0: xmm0:xmm0 = double
# parm1: rdx = int
# [sp+0x20] (sp of caller)
0x0000000002524560: mov DWORD PTR [rsp-0x6000],eax
; {no_reloc}
0x0000000002524567: push rbp
0x0000000002524568: sub rsp,0x10 ;*synchronization entry
; - javaapplication4.Test1::multiplyByPowerOfTen@-1 (line 56)
0x000000000252456c: movapd xmm1,xmm0
0x0000000002524570: cmp edx,0x1f
0x0000000002524573: jae 0x0000000002524592 ;*tableswitch
; - javaapplication4.Test1::multiplyByPowerOfTen@1 (line 56)
0x0000000002524575: movsxd r10,edx
0x0000000002524578: shl r10,0x3
0x000000000252457c: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe3c] # 0x00000000025243c0
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@364 (line 118)
; {section_word}
0x0000000002524584: movabs r8,0x2524450 ; {section_word}
0x000000000252458e: jmp QWORD PTR [r8+r10*1] ;*tableswitch
; - javaapplication4.Test1::multiplyByPowerOfTen@1 (line 56)
0x0000000002524592: mov ebp,edx
0x0000000002524594: mov edx,0x31
0x0000000002524599: xchg ax,ax
0x000000000252459b: call 0x00000000024f90a0 ; OopMap{off=64}
;*new ; - javaapplication4.Test1::multiplyByPowerOfTen@370 (line 120)
; {runtime_call}
0x00000000025245a0: int3 ;*new ; - javaapplication4.Test1::multiplyByPowerOfTen@370 (line 120)
0x00000000025245a1: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe27] # 0x00000000025243d0
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@358 (line 116)
; {section_word}
0x00000000025245a9: jmp 0x0000000002524744
0x00000000025245ae: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe22] # 0x00000000025243d8
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@348 (line 114)
; {section_word}
0x00000000025245b6: jmp 0x0000000002524744
0x00000000025245bb: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe1d] # 0x00000000025243e0
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@338 (line 112)
; {section_word}
0x00000000025245c3: jmp 0x0000000002524744
0x00000000025245c8: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe18] # 0x00000000025243e8
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@328 (line 110)
; {section_word}
0x00000000025245d0: jmp 0x0000000002524744
0x00000000025245d5: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe13] # 0x00000000025243f0
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@318 (line 108)
; {section_word}
0x00000000025245dd: jmp 0x0000000002524744
0x00000000025245e2: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe0e] # 0x00000000025243f8
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@308 (line 106)
; {section_word}
0x00000000025245ea: jmp 0x0000000002524744
0x00000000025245ef: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe09] # 0x0000000002524400
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@298 (line 104)
; {section_word}
0x00000000025245f7: jmp 0x0000000002524744
0x00000000025245fc: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe04] # 0x0000000002524408
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@288 (line 102)
; {section_word}
0x0000000002524604: jmp 0x0000000002524744
0x0000000002524609: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffdff] # 0x0000000002524410
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@278 (line 100)
; {section_word}
0x0000000002524611: jmp 0x0000000002524744
0x0000000002524616: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffdfa] # 0x0000000002524418
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@268 (line 98)
; {section_word}
0x000000000252461e: jmp 0x0000000002524744
0x0000000002524623: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffd9d] # 0x00000000025243c8
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@258 (line 96)
; {section_word}
0x000000000252462b: jmp 0x0000000002524744
0x0000000002524630: movapd xmm0,xmm1
0x0000000002524634: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffe0c] # 0x0000000002524448
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@242 (line 92)
; {section_word}
0x000000000252463c: jmp 0x0000000002524744
0x0000000002524641: movapd xmm0,xmm1
0x0000000002524645: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffddb] # 0x0000000002524428
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@236 (line 90)
; {section_word}
0x000000000252464d: jmp 0x0000000002524744
0x0000000002524652: movapd xmm0,xmm1
0x0000000002524656: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffdd2] # 0x0000000002524430
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@230 (line 88)
; {section_word}
0x000000000252465e: jmp 0x0000000002524744
0x0000000002524663: movapd xmm0,xmm1
0x0000000002524667: mulsd xmm0,QWORD PTR [rip+0xfffffffffffffdc9] # 0x0000000002524438
;*dmul
; - javaapplication4.Test1::multiplyByPowerOfTen@224 (line 86)
; {section_word}
[etc.]
0x0000000002524744: add rsp,0x10
0x0000000002524748: pop rbp
0x0000000002524749: test DWORD PTR [rip+0xfffffffffde1b8b1],eax # 0x0000000000340000
; {poll_return}
0x000000000252474f: ret